Answer:
B. Tuesday
Step-by-step explanation:
It is the only decrease in price going by the graph
Answer:
Tuesday
Step-by-step explanation:
It went down by the most that day, i.e. from $3.25 to $3.00.
Other days, it did not decrease by as much.
Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from B to AC.
Step-by-step explanation:
Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)
[tex]x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8[/tex]
The area of a triangle is= [tex]\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)][/tex]
=[tex]|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|[/tex]
=[tex]|-54|[/tex] = 54 square units
The length of AC = [tex]\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}[/tex]
= [tex]\sqrt{(2-12)^{2} +(1-8)^2}[/tex]
=[tex]\sqrt{149}[/tex] units
Let the perpendicular distance from B to AC be = x
According To Problem
[tex]\frac{1}{2} \times x \times \sqrt{149} = 54[/tex]
⇔[tex]x =\frac{108}{\sqrt{149} }[/tex] units
Therefore the perpendicular distance from B to AC is = [tex]\frac{108}{\sqrt{149} } units[/tex]
what is the sum of 43,489 + 444,398
Answer:
487887
Step-by-step explanation:
Pls Help me plsssssssss
Answer:
X=89.4
Step-by-step explanation:
Which graph represents the solution to this inequality? 16x - 80x < 37 + 27
The graph that represents the solution to this inequality is x > -1.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
The given inequality is 16x - 80x < 37 + 27.
Simplifying the left-hand side of the inequality.
-64x < 64
Dividing both sides by -64
(remember to reverse the inequality because we're dividing by a negative number).
x > -1
Now,
This inequality represents all values of x that are greater than -1.
To represent this solution graphically, we would shade the region to the right of the vertical line x = -1, as all x values to the right of -1 satisfy the inequality.
Thus,
The graph that represents the solution to this inequality is x > -1.
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Identify the slope with point A at (2,6) and Point B at (4,10)
Answer:
The slope to the given points A at (2,6) and B at (4,10) is 2
Therefore slope m=2
Step-by-step explanation:
Given points are A at (2,6) and B at (4,10)
To find the slope of the given two points :
Let [tex](x_1,y_1) and (x_2,y_2)[/tex] be the given points A at (2,6) and B at (4,10) respectively
Slope m[tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]
Now substitute the points in the above equation we get
m[tex]=\frac{10-6}{4-2}[/tex]
[tex]=\frac{4}{2}[/tex]
[tex]=2[/tex]
Therefore m=2
The slope to the given points A at (2,6) and B at (4,10) is 2
Therefore slope m=2
Can someone please help!!
Linda's health insurance policy has a $1,000 deductible and 20% coinsurance. Her total medical bills last year were $6,450.
The insurance company paid a total of _ for the year.
options are:
$5,450
$4,160
$4,360
$2,090
After deducting Linda's $1,000 deductible and 20% coinsurance from her total medical bills, the insurance company paid $4,360 for the year.
Explanation:Linda's health insurance policy has a deductible of $1,000, meaning that amount will have to be paid out of her pocket before the insurance starts to cover. In addition, the policy has 20% coinsurance, which means Linda is responsible for 20% of the remaining healthcare costs after the deductible is met.
First, calculate the bills Linda has to pay after the deductible: $6450 - $1000 = $5450.
Next, account for the coinsurance by calculating 20% of that amount: 0.20 * $5450 = $1090.
To find out how much the insurance company paid, we subtract the amount Linda pays from her total bills. Therefore, $6450 - $1000 (deductible) - $1090 (coinsurance) = $4360. So, the insurance company paid $4360 for the year.
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what is rational 125 in simplest form
Answer:
1/8
Step-by-step explanation:
If we divide both the top and the bottom by 5 since we know 125 is a multiple of 5, we get 25/200. Divide both by 5 again to get 5/40. Divide by 5 one more time to get 1/8, and since the numerator is 1, the fraction cannot be simplified any further. Therefore, the answer in its simplest form is 1/8.
Answer:
If we divide both the top and the bottom by 5 since we know 125 is a multiple of 5, we get 25/200. Divide both by 5 again to get 5/40. Divide by 5 one more time to get 1/8, and since the numerator is 1, the fraction cannot be simplified any further. Therefore, the answer in its simplest form is 1/8.
Step-by-step explanation:
Rachel has $18.20 deducted from her paycheck every month for insurance. After 6.25 months, how much money
has been deducted from Rachel's checks?
O -$11.38
CO -$18.20
-$113.75
-$1,137.5
Answer:
The answer is C.) -113.75
Step-by-step explanation: I just did the assignment and used a calculator to find the answer.
3. braay enjoys spending money at the hardware store. He gets along wonderfully with the owner. He
bought a wrench for $9.63, a nail gun for $28.01, and a dozen nails for $4.49. He gave the owner a
hundred-dollar bill. How much change did Brady get?!
Brady bought items totaling $42.13 from the hardware store. After giving a hundred-dollar bill, he received $57.87 in change.
Explanation:To calculate the change Brady gets back from the hardware store, we need to add up the cost of the items he purchased and then subtract this total from the amount of the hundred-dollar bill he provided to the owner. First, we add the cost of the wrench ($9.63), the nail gun ($28.01), and the dozen nails ($4.49) to find the total spending. Once we have the total, we subtract it from $100 to find out how much change Brady should receive.
Let's calculate:
Wrench: $9.63Nail gun: $28.01Dozen nails: $4.49Total amount spent: $9.63 + $28.01 + $4.49 = $42.13Change received: $100 - $42.13 = $57.87Brady will receive $57.87 in change from the hardware store.
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What is the completely factored form of f(x)=x3+4x2+7x+6?
Answer:
f(x)=(x+2)(x−(−1+i2√))(x−(−1−i2√))
Sorry if its wrong!
The required completely factored form is f(x) = (x + 2)(x−(−1+i2√))(x−(−1−i2√)).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The function is given in the question following as:
f(x) = x³ + 4x² + 7x + 6
We have to determine the completely factored form of the given function
As per the given question, we have
⇒ f(x) = x³ + 4x² + 7x + 6
Common factor as (x + 2) out in the above expression,
⇒ f(x) = (x + 2)(x² + 2x + 3)
⇒ f(x) = (x + 2)(x−(−1+i√2))(x−(−1−i√2))
Therefore, the required completely factored form is f(x) = (x + 2)(x−(−1+i2√))(x−(−1−i2√)).
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Carmen often orders party trays from her favorite Mexican food restaurant For company events. For a recent company party, she spent $38 on one burrito bladder and one taco platter. For a company meeting, she spent $90 on to burrito platters and one taco platter. How much does each type of platter cost?
Carmen often orders party trays from her favorite Mexican food restaurant For company events. For a recent company party, she spent $58 on one burrito platter and one taco platter. For a company meeting, she spent $90 on two burrito platters and one taco platter. How much does each type of platter cost?
Answer:The cost of each buritto platters is $ 32 and cost of each taco platter is $ 26
Solution:Let "a" be the cost of each burrito platters
Let "b" be the cost of each taco platters
Carmen spent $58 on one burrito bladder and one taco platter
Therefore we frame a equation as:
one burrito bladder x cost of each burrito platters + one taco platter x cost of each taco platters = 58
[tex]1 \times a + 1 \times b = 58[/tex]
a + b = 58 ---------- eqn 1
For a company meeting, she spent $90 on two burrito platters and one taco platter
two burrito platters x cost of 1 burrito platter + one taco platter x cost of 1 taco platter = 90
[tex]2 \times a + 1 \times b = 90[/tex]
2a + b = 90 ----------- eqn 2
Let us solve eqn 1 and eqn 2
Subtract eqn 1 from eqn 2
2a + b -a - b = 90 - 58
a = 32
Substitute a = 32 in eqn 1
32 + b = 58
b = 26
Hence, cost of 1 burrito = $32 and the cost of 1 taco platter = $26
Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. 2x+y+4z=16 5x-2y+2z=-1 x+2y-3z=-9 A(-1, 2, 22) B(-10, 22, 42) C(-1, 2, 4) D(-10, 2, 22) Please select the best answer from the choices provided A B C D
The solution of this system of linear equations is [tex](x,y,z) = (1,2,4)[/tex]. (Correct choice: C)
How to solve a system of equations by augmented matrixThe system of equations is represented by the following augmented matrix:
[tex]\left[\begin{array}{cccc}2&1&4&16\\5&-2&2&-1\\1&2&-3& -9\end{array}\right][/tex] (1)
Where the fourth column represents the vector column of independent coefficients. After making some operations, we find that the reduced row-echelon form of the augmented matrix is:
[tex]\left[\begin{array}{cccc}1&0&0&1\\0&1&0&2\\0&0&1& 4\end{array}\right][/tex]
The solution of this system of linear equations is [tex](x,y,z) = (1,2,4)[/tex]. (Correct choice: C) [tex]\blacksquare[/tex]
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Final answer:
To solve the system of equations, we need to find the reduced row-echelon form of the augmented matrix. Applying row operations, we can reduce the matrix to row-echelon form. Then, using backward substitution, we can find the values of x, y, and z. The solution to the system of equations is (-10, 2, 8.5).
Explanation:
To solve the system of equations, we can represent it as an augmented matrix and find its reduced row-echelon form. The augmented matrix for the given system of equations is:
[2 1 4 | 16]
[5 -2 2 | -1]
[1 2 -3 | -9]
Next, we need to apply row operations to reduce the matrix to its row-echelon form. Following the Gaussian elimination method, we perform the row operations:
R2 → R2 - 5R1, and
R3 → R3 - R1
The resulting matrix in row-echelon form is:
[2 1 4 | 16]
[0 -7 -18 | -81]
[0 0 0 | 0]
Now, we can apply backward substitution to find the values of x, y, and z. From the last row of the row-echelon form, we know that 0z=0. We can assign any value to z, such as 1, and then solve for x and y. Plugging in z=1, we get:
2x + 1y + 4(1) = 16
x + 2y - 3(1) = -9
Simplifying these equations, we get:
2x + y + 4 = 16 → 2x + y = 16 - 4 → 2x + y = 12
x + 2y - 3 = -9 → x + 2y = -9 + 3 → x + 2y = -6
Using these equations, we can solve for x and y by setting up a system of linear equations:
2x + y = 12
x + 2y = -6
Solving this system, we can find the values of x and y: x = -10 and y = 2. Finally, substituting these values back into one of the original equations, we can find z:
2(-10) + 1(2) + 4z = 16 → -20 + 2 + 4z = 16 → 4z = 34 → z = 8.5
So, the solution to the system of equations is (-10, 2, 8.5).
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and Numbers off buses they took if each car holds 5 student’s and each bus holds 45 students.
Answer:80
Step-by-step explanation:
Answer:
Number of cars=3
Number of buses=4
Step-by-step explanation:
Let the number of cars be x, and the number of buses be y.
x+y=7 (total number of vehicles) ---①
5x+45y=195 (total number of students) ---②
*each car holds 5 students, whereas each bus holds 45, which equals to 5x and 45y
From equation ①,
x=7-y ---③
Substitute ③ into ②
5(7-y)+45y=195
35-5y+45y=195
40y=195-35
40y=160
y=4
Therefore,
x+y=7
x=7-y
x=7-4
x=3
Forty liters of a 60% salt solution are being reduced to a 45% solution. How much
must be drained and replaced with distilled water so that the resulting solution will
contain only 45% salt solution?
Answer:
10 liters of solution should be drained off and replaced with water.
Step-by-step explanation:
Let [tex]x[/tex] be the amount in liters replaced with distilled waterAs forty liters of a 60% salt solution are being reduced to a 45% solution, and we have to determine the amount in liters that must be drained and replaced with distilled water so that the resulting solution will contain only 45% salt solution.
So, the equation becomes
[tex]0.60(40-x) = 0.45(40)[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]
[tex]0.6\left(40-x\right)=0.45\cdot \:40[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:0.45\cdot \:40=18[/tex]
[tex]0.6\left(40-x\right)=18[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]0.6\left(40-x\right)\cdot \:10=18\cdot \:10[/tex]
[tex]\mathrm{Refine}[/tex]
[tex]6\left(40-x\right)=180[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}6[/tex]
[tex]\frac{6\left(40-x\right)}{6}=\frac{180}{6}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]40-x=30[/tex]
[tex]\mathrm{Subtract\:}40\mathrm{\:from\:both\:sides}[/tex]
[tex]40-x-40=30-40[/tex]
[tex]-x=-10[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-x}{-1}=\frac{-10}{-1}[/tex]
[tex]x=10[/tex]
Therefore, 10 liters of solution should be drained off and replaced with water.
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Answer:
10 liters of solution should be drained off and replaced with water.
Step-by-step explanation:
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if there are 5280 feet in one mile how many yards are in 2 mi
a rectangular room is twice as long as its breadth and its peimeter is 540 m. find the number of bricks of size 20 cm ×12cm to pave the room. if the rate of cost of bricka is rs. 950 per 1000, find the cost of paving the room.
Answer:
Step-by-step explanation:
breadth = x
length = 2x
Perimeter = 540m
2*( length + breadth ) = 540
2 *(2x + x) = 540
3x = 540/2
3x = 270
x = 270/3
x = 90 m
Breadth = 90m = 90 *100 = 9000 cm
Length = 2*90 = 180 m = 180 * 100 = 18000 cm
No.of bricks = Area of room/ area of one brick
= 9000 * 18000 / 20 * 12
= 675000 bricks
15. Which one of the following statements is true of parallel lines?
ms &
ources
PROGRAMS
O A. They intersect at one point.
O B. They intersect at more than one point.
O C. They intersect at least twice.
O D. They never intersect.
convert 24/3 to a mixed number
Answer:
23 over 3 will give you a mixed number / whole number of 8
Step-by-step explanation:
your answer is 8
Answer:
the answer to this is
24/3= 8 ( edited again as I TOOK THE wrong values )
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which answers are examples of the law of syllogism?
select each answer: see photo
Answer:
I think it is option B. and option C.
Step-by-step explanation:
an instance of a form of reasoning in which a conclusion is drawn from two given or assumed propositions. a common or middle term is present in the two premises but not in the conclusion, which may be invalid.
if 22/15 = 23/x what is x equal to
Answer:
15.68
Step-by-step explanation:
22/15=23/x
cross product
15*23=22*x
345=22x
x=345/22
x=15.68
Algebra | Sem2 Activity 1.1.1 - Absolute Value Graphs
1. Does the absolute value graph below stretch or shrink? Support your answer.
f(x) - 7|x - 5149
• The graph stretches because 7 is bigger than 1.
The graph stretches because 7 is between 0 and 1.
The graph shrinks because 7 is bigger than 1.
The graph shrinks because 7 is between 0 and 1.
The correct answer is The graph stretches because 7 is bigger than 1.
The graph of [tex]\( f(x) = 7|x-5|+9 \)[/tex] experiences a vertical stretch, not a shrink, despite the coefficient ( 7 ) being greater than 1.
The absolute value function ( |x| ) reflects any negative values of ( x ) to their positive counterparts, essentially mirroring the negative portion of the graph onto the positive side.
When you apply a coefficient greater than 1 to [tex]\( |x| \), as in \( 7|x| \),[/tex] it vertically stretches the graph.
This means that the graph of ( f(x) ) will be vertically stretched by a factor of 7 compared to the graph of ( |x| ).
In this case, since [tex]\( |x-5| \)[/tex] is the argument of the absolute value, it implies a horizontal shift of the graph of [tex]\( |x| \)[/tex] by 5 units to the right.
So, the absolute value graph [tex]\( |x| \)[/tex] gets shifted 5 units to the right before it is stretched vertically by a factor of 7.
The ( +9 ) at the end of the function only moves the entire graph up by 9 units.
Thus, the graph of [tex]\( f(x) = 7|x-5|+9 \)[/tex] experiences a vertical stretch by a factor of 7.
Therefore, the correct statement is: "The graph stretches because 7 is bigger than 1."
Question
Does the absolute value graph below stretch or shrink? Support your answer. F(x) = 7|x-5|+9
The graph shrinks because 7 is between 0 and 1.
The graph stretches because 7 is bigger than 1.
The graph shrinks because 7 is bigger than 1.
The graph stretches because 7 is between 0 and 1.
Mrs. Jones is building wooden picture frames. She has 1 5/8 of wood and needs 3/4 for each frame. How many frames can she make with the exiting material? *
show ur work
Answer:
[tex]2\frac{1}{6}\ frames[/tex]
Step-by-step explanation:
we know that
To find out how many frames she can make with the exiting material, divide 1 5/8 by 3/4
so
[tex]1\frac{5}{8}:\frac{3}{4}[/tex]
Convert mixed number to an improper fraction
[tex]1\frac{5}{8}=\frac{1*8+5}{8}=\frac{13}{8}[/tex]
substitute
[tex]\frac{13}{8}:\frac{3}{4}=\frac{52}{24}\ frames[/tex]
Simplify
[tex]\frac{13}{6}\ frames[/tex]
Convert to mixed number
[tex]\frac{13}{6}\ frames=\frac{12}{6}+\frac{1}{6}=2\frac{1}{6}\ frames[/tex]
Peter has to use the following information to find the original number: "If you double a number and then add 36 you get 4/11 of the original number." Write and solve an equation to find the original number.
Answer:
-22
Step-by-step explanation:
2x + 36 = 4/11 x
2x - 4/11 x = - 36
18/11 x = - 36
x = ((-36) x 11) / 18 = - 22
How can you use a property of operations to write a simplified equivalent expression
Answer:
Step-by-step explanation:
For example, apply the distributive property to the expression 3 (2 + ) to produce the equivalent expression 6 + 3; apply the distributive property to the expression 24 + 18 to produce the equivalent expression 6 (4 + 3); apply properties of operations to + + to produce the equivalent expression 3.
*plz help it’s due tomorrow:)
The graph shows the temperature,y, in a freezer x minutues after it was turned on. Five minutes after being turned on, the temperature was actually three degrees from what the trend line shows. What values could the actual temperature be after the freezer was on for five minutes?
Answer:
The actual temperature after the freezer was on for five minutes could be 18ºF or 12ºFExplanation:
First, you must find the y-value returned by the line in the graph for a time (x) of five minutes, and then use the deviation of 3º to conclude the range of the real temperature.
1. y- value at x = 5 min.
The trend line (blue line in the graph) passes through the point (5,15), which means that it predicts a temperature of 15ºF when the time (x) is 5 minutes, or five minutes after the freezer was turned on.
2. Actual temperature value
It is stated that the temperature was actually three degrees from what the trend line shows, that means that the actual temperature could be 3ºF more or 3ºF less than the predicted temperature of 15ºF.
Mathematically:
Temperature = 15ºF ± 3ºFTemparature = 15ºF + 3ºF or 15ºF - 3ºFTemperature = 18ºF or 12ºF ← answer.The values that the actual temperature could be after the freezer was on for five minutes are 12°F or 18°F.
A trendline is sometimes referred to as a line of best fit and it is a statistical tool which is commonly used in conjunction with a scatter plot, in order to determine whether or not there's any form of correlation (either positive or negative) between a given data.
By critically observing the scatter plot, we can logically deduce that the trend line passes through the point (5, 15), which implies that the temperature is 15°F, 5 minutes after the freezer was turned on.
Since the actual temperature deviates by 3°F from what the trend line shows, we have:
Actual temperature = 15 ± 3
Actual temperature = 15 - 3 = 12°F
Actual temperature = 15 + 3 = 18°F
Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total
earnings on gasoline for the lawnmowers each week. Which inequality can be used to find m, the number of lawns they need
to mow next week so that each person earns at least $275?
45m-30 2275
45m-302275
45m-30 $275
45m - 30 s275
Answer:
45 m - 30 ≥ 275 x (4) is the required inequality.
Step-by-step explanation:
m: The number of lawns they need to mow next week
The charge per mowing of lawn = $45
The total earnings spent on gasoline each week = $30
The earning per person is AT LEAST $275.
Now,if 1 person earns at least $275
So, the total minimum earnings of 4 people = 4 x ($275) = $ 1100
Also, of per mow charge = $45
So, the charge of mowing m lawns = m x ( Per mow charge )
= m x ( $45) = 45 m
Now, according to question:
Total Earning - Money spent on gasoline ≥ Total Earning $1100
or, 45 m - 30 ≥ 1100
Hence, the needed inequality is 45 m - 30 ≥ 1100
or, 45 m - 30 ≥ 275 x (4)
Answer:
a
Step-by-step explanation:
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h(x)=5x-1h(x)=5x−1, find h(1)h(1
If the given function is h(x)=5x-1 then h(1)h(1) would be equal to 16.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given;
h(x)=5x-1
In order to find the h(1)h(1)
substitute x = 1 in the function h(x)
h(x)=5x-1
h(1) = 5(1) - 1
h(1) = 5 -1 = 4
So, h(1)h(1) = 4 x 4 = 16
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Solve u:
(2.8 − 2.8) ÷ u = 0
Answer:
Any U
Step-by-step explanation:
Hey there. Here isbyour solution:
2.7-2.8=0
0/u=0
Statement is always true. So u[tex]\in[/tex]R
How do I answer this question?
The expression 15n+12n+100 represents the total cost in dollars for skis,boots and a lesson for n skiers.Simplify the expression 15n+12n+100.Then find the total cost for 8 skiers.
Answer:
The total cost for 8 skiers=316 dollars
Step-by-step explanation:
Given that the expression 15n+12n+100 represents the total cost in dollars for skis,boots and a lesson for n skiers.
To simplify the given expression :
15n+12n+100=27n+100
27n=-100
Therefore [tex]n=\frac{-100}{27}[/tex]
Now to find the total cost for 8 skiers.
The total cost for 8 skiers can be written as below
Put n=8 in the given expression 15n+12n+100
15(8)+12(8)+100
=120+96+100
=316
Therefore the total cost for 8 skiers is 316 dollars
The total cost for 8 skiers=316 dollars
Which situation would be represented by the integer -8?
You earn $8
A hole 8 feet deep.
A temperature of 8°F.
An 8-yard pass.
Answer:
Step-by-step explanation:
a hole 8 ft deep.....would be -8 because it is -8 below ground level
u earn $ 8....thats +8
a temp of 8 F....thats a +8
an 8 yd pass....thats a + 8
Answer:
a hole 8 ft deep.....would be -8 because it is -8 below ground level