Answer:
Step-by-step explanation:
The diagonals of the parallelogram are A(-5, -1), C(-1, 5) and B(-9, 6), D(3, -2).
Slope of diagonal AC = (5 - (-1)) / (-1 - (-5)) = (5 + 1) / (-1 + 5) = 6 / 4 = 3/2
Slope of diagonal BD = (-2 - 6) / (3 - (-9)) = -8 / (3 + 9) = -8 / 12 = -2/3
For the parallelogram to be a rhombus, the intersection of the diagonals are perpendicular.
i.e. the product of the two slopes equals to -1.
Slope AC x slope BD = 3/2 x -2/3 = -1.
Therefore, the parallelogram is a rhombus.
Use a ruler to measure the side length of the rectangle in centimeters mark 8 cm with a point and connect the points to show the square units then count the squares you're true to find the total area
Answer:
The total area of the rectangle is found by counting the total number of 1 cm squares inside the rectangle.
Note: This question is missing some details.
A more complete question is this: Use a ruler to measure the side lengths of the rectangle in centimeters. Mark each centimeter with a point and connect the points to show the square units. Then, count the squares you drew to find the total area.
Step-by-step explanation:
This method is used to determine area of a rectangle by counting the square unit inside the given rectangle.
For example, if the measurement of the sides of the rectangle is 8 cm and 5 cm respectively. To find the area;
Step 1: Mark out 1 cm points on each side of the rectangle.
Step 2: Connect each of the points.
Step 3: Count the number 1 cm squares within the triangle. The total number of squares gives the area of the triangle.
In this example, the number of 1 cm squares will be found to be 40. So the area of the rectangle is 40 cm squares or 40 cm².
___________ is the level of measurement where outcomes are based on some underlying continuum where it is possible to speak about how much more a higher performance is than a lower one:
Answer:
Interval level of measurement
Step-by-step explanation:
Interval level of measurement:
Interval level of measurement specifies the difference in two measurement on scale.Here, the difference between two values have meaning.Here, the negative value of measurement makes sense.The true zero does not exist.For example: Temperature.Thus,
Interval level of measurement is the level of measurement where outcomes are based on some underlying continuum where it is possible to speak about how much more a higher performance is than a lower one:
The statement "The square of any rational number is rational" can be rewritten formally as "For all rational numbers x, x 2 is rational" or as "For all x, if x is rational then x 2 is rational." Rewrite each of the following statements in the two forms "∀ x, " and "∀x, if , then " or in the two forms "∀ x and y, " and "∀x and y, if , then ."
a. The reciprocal of any nonzero fraction is a fraction.
b. The derivative of any polynomial function is a polynomial function.
c. The sum of the angles of any triangle is 180◦.
d. The negative of any irrational number is irrational.
e. The sum of any two even integers is even.
f. The product of any two fractions is a fraction.
Answer:
a.
For all non zero fraction 1(1/x), 1/x is a fraction
For all 1/(1/x), if 1/(1/x) is non zero, 1/x is a fraction
b.
For all polynomial function f(x) = x³ + x² + x - 1, the derivative (dy/dx) is a polynomial function
For all f(x) x³ + x² + x - 1, if f(x) is polynomial, f'(x) is a polynomial function
c.
For all angles x,y,z of a triangle, the sum, x + y + z = 180
For all x,y,z, if x,y and z are the angles of a triangle, x+y+z = 180
d.
For all irrational numbers x, -x is irrational
For all x, if x is irrational then -x irrational.
e.
For two integers, x and y, the sum x+y is an integer
For x,y if x and y are integers, then x + y is an integer
f.
For two fractions, x/y and a/b the product ax/by is a fraction
For x/y and a/b, if x/y and a/b are fractions then ax/by is a fraction
Final answer:
The statements have been rewritten in both universal quantification and conditional forms to describe relationships in mathematics, such as the property of being a fraction, polynomial function, or summing up to 180 degrees for triangles.
Explanation:
To rephrase the given statements in mathematical terms:
For all nonzero fractions x, if x is a fraction, then 1/x is a fraction.For all polynomial functions f(x), if f(x) is a polynomial function, then f'(x) is a polynomial function.For all triangles, if a figure is a triangle, then the sum of its angles is 180 degrees.For all irrational numbers x, if x is irrational, then -x is irrational.For all even integers m and n, if m and n are even, then m + n is even.For all fractions a and b, if a and b are fractions, then a * b is a fraction.Help pls!! I need answer asap
Answer:
m<7=65
m<4 = 115
m<6 = 115
m<1=65
m<16 = 60
m<18 = 60
m<21 = 120
m<10 = 55
m<11 = 125
m<12 = 55
Step-by-step explanation:
(1) m<7 = 65° (corresponding angles are equal)
(2) m<4 = 180 - 65 = 115 (angles on a straight line)
(3) m<6 = 115 (angles on a straight line)
(4) m<1 = 180-115 = 65
(5) m<16 = 180 - 120 = 60°
(6) m<18 = m<14 = 60°(corresponding angles are equal)
(7) m<21 = 180 - 60 = 120
(8) m<10 = m<12 = 180-(65+60)=55(sum of angles in a triangle)
m<10 = 55°
(9) m<11 = 180 - 55 = 125°
(10)m<12 = 55°(sum of angles in a triangle)
Answer:
Step-by-step explanation:
ASAP HELP
please help with these six questions, use the graph i attached.
1. What is the amplitude of this function?
2. What is the period to the graph in problem 1?
3. What is the frequency of the function from problem 1?
4. What is the equation of the midline for the function from problem 1? (no spaces when typing equation)
5. What is the maximum value of the function from problem 1?
6. What is the minimum value of the function from problem 1?
Answer:
i) amplitude is 4/2 =2
ii) period of the graph = 3.14 ( radians), (or 180°)
iii) the frequency of the given function is f = 2Hz ( hertz).
iv) The midline for the function is y = -3.
v) The maximum value of the problem of the function is -1.
vi) the minimum value of the function is -5.
Step-by-step explanation:
i) the Peak to Peak is = -1 - (-5) = 4
therefore amplitude is 4/2 =2
ii) The period of the graph = 3.14
iii) one cycle is over 2π radians
one cycle of the given function is over π radians. Therefore the given
function will have 2 cycles over 2π radians. Therefore the frequency of the given function is f = 2 hertz.
iv) The midline for the function is y = -3.
v) The maximum value of the problem of the function is -1
vi) the minimum value of the function is -5.
Two particles travel along the space curves r1(t) = t, t2, t3 r2(t) = 1 + 4t, 1 + 16t, 1 + 52t . Find the points at which their paths intersect. (If an answer does not exist, enter DNE.) (x, y, z) = (smaller x-value) (x, y, z) = (larger x-value) Find the time(s) when the particles collide. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) t =
Final answer:
To find the intersection points of the paths of two particles, one needs to set their position functions equal and solve for the variable t. If no solution exists, then the intersection points do not exist, and the answer is DNE.
Explanation:
To find the points where the paths of two particles intersect, we set their respective position functions r1(t) and r2(t) equal to each other and solve for t. The position functions given are:
r1(t) = (t, t^2, t^3)
r2(t) = (1 + 4t, 1 + 16t, 1 + 52t).
Their paths intersect when:
x1 = x2
y1 = y2
z1 = z2.
By solving these equations, we find the common t values that make both position vectors equal. If there is no common t that satisfies all three conditions, then the particles never collide, and the answer is DNE (Does Not Exist).
The length of the sandbox will be 6 less than 3 times the width. The perimeter of the sandbox must be less than or equal to 116 feet. What would be the maximum length and width of the sandbox.
Answer: the maximum length of the sandbox is 42 feet.
the maximum width of the sandbox is 16 feet.
Step-by-step explanation:
Let L represent the length of the sandbox.
Let W represent the width of the sandbox.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the sandbox must be less than or equal to 116 feet. This means that
2(L + W) ≤ 116
Dividing through by 2, it becomes
L + W ≤ 116/2
L + W ≤ 58 - - - - - - - - -1
The length of the sandbox will be 6 less than 3 times the width. This means that
L = 3W - 6
Substituting L = 3W - 6 into equation 1, it becomes
3W - 6 + W ≤ 58
4W ≤ 58 + 6
4W ≤ 64
W ≤ 64/4
W ≤ 16
L = 3W - 6 = 3 × 16 - 6
L ≤ 42
the container that holds the water for the football team is
1/4 full. after pouring in 10 gallons of water, it is 2/3 full.how many gallons can the container hold?No multiple questions at this time
Answer:
The container can hold 24 gallons of water.
Step-by-step explanation:
Let the Amount of water in gallons container can hold be 'x'.
Now given:
the container that holds the water for the football team is 1/4 full.
therefore Amount of water in container = [tex]\frac14x[/tex]
We need to find the Amount of water in gallons container can hold.
Solution:
Now given:
after pouring in 10 gallons of water, it is 2/3 full.
So equation can be framed as;
[tex]\frac14x+10=\frac23x[/tex]
Now Combining the like terms we get;
[tex]10=\frac23x-\frac14x[/tex]
Now We will use LCM to make the denominator common we get;
[tex]10=\frac{2x\times4}{3\times4}-\frac{1x\times3}{4\times3}\\\\10=\frac{8x}{12}-\frac{3x}{12}[/tex]
Now the denominators are common so we will solve the numerator we get;
[tex]10=\frac{8x-3x}{12}\\\\10=\frac{5x}{12}[/tex]
Now Multiplying both side by [tex]\frac{8}{12}[/tex] we get;
[tex]10\times\frac{12}{5}=\frac{5x}{12}\times \frac{12}{5}\\\\x=24 \ gallons[/tex]
Hence The container can hold 24 gallons of water.
PLEASE HELP!!
Mario simplified the expression (4z^8)^-3 as shown.
(4z^8)^-3 = 4z^8 x (-3) = 4z^-24 = 4/z^24
Which statement explains Mario’s error?
He should have added the exponents instead of multiplying them.
He should have subtracted the exponents instead of multiplying them.
He should have applied the exponent –3 to 4, and not to z, to get 4^-3z^8 = 4^-3z^8 = z^8/64.
He should also have applied the exponent –3 to 4 to get 4^-3z^8 x (-3) = 4^-4 z^-24 = 1/64z^24.
Answer:
The answer to your question is the last choice
Step-by-step explanation:
[tex](4z^{8})^{-3}[/tex]
Process
1.- Use the exponent law "Power"
[tex]4^{-3} z^{(8)(-3)}[/tex]
2.- Simplify
[tex]4^{-3} z^{-24}[/tex]
3.- Use the exponent law "Negative exponent"
[tex]\frac{1}{4^{3} z^{24}}[/tex]
[tex]\frac{1}{64z^{24}}[/tex]
4.- Conclusion
He should have applied the exponent -3 to 4 to get [tex]\frac{1}{64z^{24}}[/tex]
Answer:
d
Step-by-step explanation:
Scott purchased a $146,000 home with a 7/23 balloon mortgage. His initial rate was 3.5%. At the end of the initial rate he decided to refinance a balloon payment with a 30 year mortgage fixed at 5%. What is his new mortgage payment
A:$654.87
B:$707.63
C:$655.61
D:$666.55
Answer:D
Step-by-step explanation:
The solution is: : $117,783.05 will be her balloon payment at the end of 7 years if she chooses this mortgage.
What is interest?Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
here, we have,
Step 1
Calculate the number of monthly payments for 7 years.
The formula we would be using is given as:
Monthly payment = [Loan amount × (rate/number of year)] ÷ [1 - (1 +r/n)^nt)]
Loan amount =$146,000
Rate = 4.75% = 0.0475
n = number of payments = 12
t= number of years = 23
Monthly payment = [ 146,000× (0.0475/12)] ÷ [1 - (1 +0.0475/12)^-276)]
Monthly payment = $870.49
Step 2
Calculate the amount left after 7 years using the formula
Ballon payment after 7 years = Loan amount ( 1 + r)ⁿ - P[(1 +r)ⁿ - 1 /r]
r = 4.75% for 12 years
= 146,000( 1 + 0.0475/12)^84 - 870.49[((1 + 0.0475/12)^84 - 1)/0.0475/12]
= $117,783.05
Hence, The solution is: : $117,783.05 will be her balloon payment at the end of 7 years if she chooses this mortgage.
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complete question:
Yvette is considering a 7/23 balloon mortgage with an interest rate of 4.75%
to purchase a house for $146,000. What will be her balloon payment at the end of
7 years if she chooses this mortgage?
2 math questions. Please show your work if you can, I struggle with this, Thanks !!
20pts
Step-by-step explanation:
To find the solution, Tanisha can graph each side of the equation as its own function:
y₁ = log₃(5x)
y₂ = log₅(2x + 8)
The solution is where the two curves cross. From the graph, that happens at x ≈ 0.957.
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If 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), where a > 0, what is the value of a?
The value of a is 80
Step-by-step explanation:
The distance of a point [tex](x_0,y_0)[/tex] from the y-axis can be written as
[tex]d_y = |x_0|[/tex]
because the x-coordinate of the y-axis is zero.
Similarly, the distance of a point [tex](x_0,y_0)[/tex] from the x-axis can be written as
[tex]d_x=|y_0|[/tex]
Since the y-coordinate of the x-axis is zero.
In this problem:
- The distance of the point A (−30, −45) from the y-axis can be written as
[tex]d_A = |-30|=30[/tex]
- The distance of point B (a,a) from the x-axis can be written as
[tex]d_B = |a| = a[/tex]
Since [tex]a>0[/tex].
We are told that 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), which means
[tex]\frac{2}{3}d_A = \frac{1}{4}d_B[/tex]
Therefore,
[tex]\frac{2}{3}(30)=\frac{1}{4}a[/tex]
And solving for a,
[tex]20=\frac{1}{4}a\\a=80[/tex]
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Answer:
40
Step-by-step explanation:
Connor went to New York for vacation. He spent 3 nights at a hotel and rented a car for 4 days. Jillian stayed at the same hotel, but spent 4 nights and rented a car for 5 days from the same company. If Connor paid $675 and Jillian paid $875, how much did one night at the hotel cost?
A) $75
B) $100
C) $125
D) $150
Answer: option C is the correct answer
Step-by-step explanation:
Let x represent the cost of one night at the hotel.
Let y represent the cost of renting the car for one day.
Connor went to New York for vacation. He spent 3 nights at a hotel and rented a car for 4 days. If Connor paid $675, it means that
3x + 4y = 675 - - - - - - - - - - - 1
Jillian stayed at the same hotel, but spent 4 nights and rented a car for 5 days from the same company. If Jillian paid $875, It means that
4x + 5y = 875 - - - - - - - - - - - -2
Multiplying equation 1 by 4 and equation 2 by 3, it becomes
12x + 16y = 2700
12x + 15y = 2625
Subtracting, it becomes
y = 75
Substituting y = 75 into equation 1, it becomes
3x + 4 × 75 = 675
3x + 300 = 675
3x = 675 - 300 = 375
x = 375/3 = $125
This little pool is 10 feet in diameter and 3 feet tall. Use the formula for volume to find the total water needed to fill the pool.
V=π r ^2 h
The total water needed to fill the pool is 75π cubic feet.
Given: The pool is 10 feet in diameter and 3 feet tall. To find: The total water needed to fill the pool using V = πr²h formula.
Calculations: Radius (r) = 5 feet, Height (h) = 3 feet. Substitute values into formula: V = π(5)^2(3) = 75π cubic feet.
Answer: The total water needed to fill the pool is 75π cubic feet.
Triangle FGH is translated using the rule (x,y) > (x+3,y-1). What are the coordinates of H ?
Answer: [tex]H'(4,-3)[/tex]
Step-by-step explanation:
For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".
A Translation is defined as a transformation in which the figure is moved a fixed distance in a fixed direction. In this kind of transformatiosn the size and shape do not change and the figure is not flipped.
In this case you know that the Pre-Image is the Triangle FGH.
You can identify in the picture that its vertex H has these coordinates:
[tex]H(1,-2)[/tex]
Where:
[tex]x=1\\y=-2[/tex]
Since the rule is:
[tex](x,y)[/tex] → [tex](x+3,y-1)[/tex]
You can substitute the coordinates of H into the given rule in order to find the coordinates of H'. This is:
[tex]H'=(1+3,-2-1)=(4,-3)[/tex]
The coordinates of H after translation using the rule (x,y) > (x+3,y-1) are obtained by adding 3 to the x-coordinate and subtracting 1 from the y-coordinate of H's original position.
Explanation:To determine the coordinates of H after applying the translation rule (x,y) > (x+3,y-1), you have to add 3 to the x-coordinate and subtract 1 from the y-coordinate of point H's original position.
For example, if H originally has coordinates (a,b), then after the translation, the new coordinates of H will be (a+3, b-1).
The given translation rule does not change regardless of the element being translated, be it point or vector, as the rule is applied to each coordinate independently.
Therefore, if you know the original coordinates of point H, you just apply the rule directly to find the translated coordinates.
To buy a new guitar, jerry paid a $700 down payment and will pay $50 each month until it is completely paid for. If the total cost of the guitar cost $1,200, how many months will it take to pay for the guitar!
Answer:
Step-by-step explanation:Original price is $1200.and he paid $700 to start with meaning he has $500 more to pay
$1200-$700=$500
If he now pays $50 every months then he has 10months to pay up
$500/$50=10./
Which of the following describe the function
g(x) = log2 (x - 2) – 3.
Choose ALL that apply.
The domain is the set of all real number greater than 2.
The x-intercept = ( 10,0) and there is no y-intercept
Avertical asymptote at x = 2.
There is no x-intercept and the y-intercept = (0,10 ).
The domain is the set of all real numbers less than 2
The graph of g(x) is symmetric to its inverse exponential function over the line y = 0
The graph of g(x) is symmetric to its inverse exponential function I’ve ether like y = x
A vertical asymptote at x = 10
Answer:
From the plot and from inspection of the equation the following are true
a.) The domain is the set of all real numbers greater than 2
b.) The x-intercept = (10,0) and there is no y-intercept
c.) A vertical asymptote is at x = 2
f.) The graph of g(x) is symmetric to its inverse exponential function over the line y = x
Step-by-step explanation:
The plot of the graph is attached.
From the plot and from inspection of the equation the following are true
a.) The domain is the set of all real numbers greater than 2
b.) The x-intercept = (10,0) and there is no y-intercept
c.) A vertical asymptote is at x = 2
f.) The graph of g(x) is symmetric to its inverse exponential function over the line y = x
Do these basic math problems please
Answer:
.
Step-by-step explanation:
a.) 72 ÷ 8 × 9 = 81 (we divide 72 by 8 first then multiply the result with 9)
b.) -72 ÷ 8 × 9 = -81 (it's same with a only differ by negative sign)
c.) 72 ÷ (-8) × 9 = -81 (dividing 72 by -8 will give us -9 and multiplying -9 by -9 will give the result of -81)
d.) 72 ÷ 8 × (-9) = -81 (divide 72 by 8 and it will be 9, mutliply it by -9 and again it will give -81)
e.) -72 ÷ 8 × (-9) = 81 (divide -72 by 8 and it will be -9 multiplying it by -9 will give a positive 81 since two negative signed numbers multiplied or divided gives positive result)
Answer:
A)81
B)-81
C)-81
D)-81
E)81
Step-by-step explanation:
Andre has been practicing his math facts. He can now complete 135 multiplication facts in 90 seconds. If Andre is answering questions at a constant rate, how many facts can he answer per second?
Andre can complete 1.5 facts in one second.
Step-by-step explanation:
Given,
Number of multiplication facts completed in 90 seconds = 135
Therefore;
90 seconds = 135 facts
Dividing both sides by 90 to fins the facts per second
[tex]\frac{90}{90}\ seconds=\frac{135}{90}\ facts\\\\1\ second = 1.5\ facts[/tex]
Andre can complete 1.5 facts in one second.
Keywords: unit rate, division
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Andre can answer 1.5 multiplication facts per second by dividing the total number of facts he completed (135) by the time it took (90 seconds).
Explanation:Andre has been answering multiplication facts at a consistent pace. To find out how many facts he can answer per second, we need to divide the total number of facts he answered by the total number of seconds it took him to answer them.
Andre answered 135 multiplication facts in 90 seconds.
To calculate the rate per second, the formula is:
Division of total facts by total seconds: 135 facts ÷ 90 seconds = 1.5 facts per second.Therefore, Andre can answer 1.5 facts per second.
Katy earns $10 per hour. She worked 4 hours on Friday, 9 hours on Saturday, and 6 hours on Sunday. How much money did Katy earn in all on Friday, Saturday, and Sunday? Answer: $
Answer: In total Katy earned $190
Katy earn $190 in all on Friday, Saturday, and Sunday.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS is; Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given that Katy earns $10 per hour. She worked 4 hours on Friday, 9 hours on Saturday, and 6 hours on Sunday.
Therefore, total time = 4+9+6=19
Then 19 x 10 = 190
so, she made $190
Hence, Katy earn $190 in all on Friday, Saturday, and Sunday.
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The ages of three siblings Jason John and Jackson totals 21 years. Jason is one year older than John. Jackson is three times as old as John. How old is John?
Answer:Jason is 5 years old.
John is 4 years old.
Jackson is 12 years old.
Step-by-step explanation:
Let x represent the age of Jason.
Let y represent the age of John.
Let z represent the age of Jackson.
The ages of three siblings Jason John and Jackson totals 21 years. It means that
x + y + z = 21 - - - - - - - - - - -1
Jason is one year older than John. It means that
x = y + 1
Jackson is three times as old as John. It means that
z = 3y
Substituting x = y + 1 and z = 3y into equation 1, it becomes
y + 1 + y + 3y = 21
5y = 21 - 1 = 20
y = 20/5 = 4
x = y + 1 = 4 + 1
x = 5
z = 3y = 3 × 4
z = 12
Mike estimated the difference of 79.44 and 6.7 by rounding each number to the nearest whole. What was Mike's estimate, and what is the actual difference of the numbers? Enter your answers in the boxes. Mike estimated the difference to be . The actual difference is .
Answer:
Mike estimated the difference to be 72.
The actual difference is 72.74.
Step-by-step explanation:
Mike estimated 79 as 79.44 and 7 as 6.7, therefore Mike estimated the difference, this way:
79 - 7 = 72
Actual difference of the numbers is:
79.44 - 6.7 = 72.74
Mike estimated the difference to be 72.
The actual difference is 72.74.
Anna is standing on the roof of a 35-foot building and is located at point A.
There is a 60-foot rope hanging from a point on the roof. When the rope is stretched out, it reaches to point C. She wants to know how far she is from point
B.
If Anna can show that triangles ABD ABD and ACD ACD are congruent, she can find the distance from A to B
Which additional segment lengths could be used to prove that △ADB≅△ADC by using the SAS Congruence Postulate?
THERE IS MORE THAN ONE ANSWER
CD=7 ft.
BD=6 ft.
CD=12 ft.
BD=5 ft.
CD=8 ft.
BD=8 ft.
9514 1404 393
Answer:
CD = 8 ft.
BD = 8 ft.
Step-by-step explanation:
To make use of the SAS postulate, Anna needs to identify two sides on either side of congruent angles.
The only marked angle is the right angle. We know that AD is congruent to itself, so Anna also needs to use the segments CD and BD, which are on the other side of the right angle in the right triangles.
The two choices in which BD and CD have the same length are
CD=8 ft.BD=8 ft.What is the sum of the linear expression 3x + 9 and 2x + 4
Answer:
5x + 13
Step-by-step explanation:
(3x + 9 ) + (2x + 4)
It's quite simple, we just have to add the parts that have x to each other and those that don't have x to each other
3x + 2x + 9 +4 =
then the result is
5x + 13
A tower 125 feet high stands on the of a hill. At a point 240 feet from the foot of the tower, measured straight down the hill, the tower subtends an angle of 25 degrees. What angle does the side of the hill make with the horizontal?
11°
The solution is in the attachment
The angle of subtends the hill will make with horizontal is 17.04 degrees.
What is a trigonometric function?The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.
The trigonometric function is very good and useful in real-life problems.
Given below is the image of the situation,
In triangle ABC →
Tan25° = (125+240)/x
x = 782.745 feet
Now in triangle ADC →
Tan(y) = 240/x
Tan y = 240/782.745
y = 17.04°
Hence "The angle of subtends the hill will make with horizontal is 17.04 degrees".
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Which of the following is a consequence of increasing variability? Group of answer choices A.The distance from one score to another tends to increase, and a single score tends to provide a more accurate representation of the entire distribution. B.The distance from one score to another tends to increase, and a single score tends to provide a less accurate representation of the entire distribution. C.The distance from one score to another tends to decrease, and a single score tends to provide a more accurate representation of the entire distribution. D. The distance from one score to another tends to decrease, and a single score tends to provide a less accurate representation of the entire distribution.
Answer:
Step-by-step explanation:
Variability refers to the degree in which a set of data set spreads out or dispersed or clustered together. There are four measure of variability namely: range, interquartile range (IQR) variance and standard deviation. The consequence of increasing variability is that the distance from one score to another tends to increase, and a single score tends to provide a less accurate representation of the entire distribution.
In the context of a data set, increasing variability implies that scores in the dataset are dispersing more, increasing the distance from one score to another. Therefore, a single score provides a less accurate reflection of the entire distribution. The correct answer to the question is B.
Explanation:The subject of the question relates to the concept of variability in a data set, which is a measure of how much scores differ from each other in a distribution. The question asks about the consequences of increasing variability.
If variability increases, it means that the scores in the dataset are spreading out more. In other words, the distance from one score to another tends to increase. Consequently, a single score tends to provide a less accurate representation of the entire distribution because the scores are more spread out and there is a higher level of diversity in the scores. So, the correct answer is B.
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R(x) = -13.85x2 + 1,660x
C(x) = 55,400 – 279x
Answer:
What am I suppose to do?
Step-by-step explanation:
one base of a trapezoid is 3 times the length of the second base. the height of the trapezoid is 2in smaller than the second base if the area is 30 what is the length of both bases
Answer:
Length of bases of the trapezoid are 5 inch and 15 inch.
Step-by-step explanation:
Let the length of the second base be 'x'.
Given:
one base of a trapezoid is 3 times the length of the second base.
So we can say that;
Length of the first base = [tex]3x[/tex]
Also Given:
the height of the trapezoid is 2 in smaller than the second base
So we can say that;
Height of the trapezoid = [tex]x-2[/tex]
Area of the trapezoid = 30
We need to find the length of both the bases.
Solution:
Now we know that;
Area of trapezoid is equal to half of the sum of the length of two bases multiplied by height of the trapezoid.
framing in equation form we get;
[tex]\frac{x+3x}{2}\times(x-2)=30\\\\\frac{4x}{2}\times (x-2)=30\\\\2x(x-2)=30[/tex]
Now Dividing both side by 2 we get;
[tex]\frac{2x}{2}(x-2)=\frac{30}{2}\\\\x(x-2)=15\\\\x^2-2x-15=0[/tex]
Now we will find the roots by factorizing the equation we get;
[tex]x^2-5x+3x-15=0\\\\x(x-5)+3(x-5)=0\\\\(x+3)(x-5)=0[/tex]
Now we find the values of x by solving separately we get;
[tex]x+3=0 \ \ \ \ Or \ \ \ \ \ \ x-5=0\\\\x=-3 \ \ \ \ \ \ \ Or \ \ \ \ \ \ x=5[/tex]
Now we have got 2 values of 'x' one positive and one negative.
Now we know that length of the base of trapezoid cannot be negative hence we will discard it and consider the positive value of 'x'.
Length of second base = 5 in
Length of first base = [tex]3x=3\times5 =15\ in[/tex]
Hence Length of base of the trapezoid are 5 inch and 15 inch.
Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward along the z-axis a distance of 5 units. What are the coordinates of your position? (x, y, z)
Answer:
(4,0,-5)
Step-by-step explanation:
Since we move 4 points along +ve x-axis so, x coordinate is 4
We did not move any point along y-axis so y coordinate is 0
we moved 5 points along -ve z-axis so z coordinate is -5
so our position is (x,y,z) = (4,0,-5)
_____ are systematic tendencies to use information about others in ways that result in inaccurate perceptions.
Answer:
biases
Step-by-step explanation
i toke the test
Bias is the systematic tendency to use information about others.
What are systematic tendencies?The propensity to give facts that can be quickly recalled from memory as much weight as possible while making a decision.
You may reap the rewards of group judgments while avoiding frequent challenges to effective judgment in groups by managing group judgment processes well. Fundamental judgment ideas may be learned, but like with other abilities, practice is required. A professional judgment framework is a useful example of a sound decision-making procedure and enables you to identify potential areas for error. A shared framework enables the use of a common language and understanding. It normally pays off to put in some work up front, especially in the initial few stages of the judging process.
Therefore, A few properties of systematic bias are Heuristics are quite effective; typically speaking, benefits outweigh costs; yet, they may lead to biased judgment.
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