Answer:
2nd one
Step-by-step explanation:
I think I'm understanding your function to be f(x)=4(1.5)^x.
It goes through (0,4) becuase when x=0, you have y=4(1.5)^0=4(1)=4.
It also increases by a factor of 1.5 each time x goes up by 1.
Example: When x=1, you have 4(1.5)^1=4(1.5)
Another example: When x=2, you have 4(1.5)^2=4(1.5)(1.5).
Those are called factors because the operation is multiplication.
Answer:
b
Step-by-step explanation:
A line has a slope of
Which ordered pairs could be points on a parallel line? Check all that apply.
(-8, 8) and (2, 2)
(-5, -1) and (0, 2)
(-3, 6) and (6.-9)
(-2, 1) and (3,-2)
(0, 2) and (5,5)
Answer:
B and D
Step-by-step explanation:
Given a line with slope m = - [tex]\frac{3}{5}[/tex]
Since the lines are parallel we require the points with the same slope
Using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = 8, 8) and (x₂, y₂ ) = (2, 2)
m = [tex]\frac{2-8}{2-8}[/tex] = 1 ← not parallel
Repeat with (x₁, y₁ ) = (5, - 1) and (x₂, y₂ ) = (0, 2)
m = [tex]\frac{2+1}{0-5}[/tex] = - [tex]\frac{3}{5}[/tex] ← Parallel
with (x₁, y₁ ) = (- 3, 6) and (x₂, y₂ ) = (6, - 9)
m = [tex]\frac{-9-6}{6+3}[/tex] = - [tex]\frac{5}{3}[/tex] ← not parallel
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (3, - 2)
m = [tex]\frac{-2-1}{3+2}[/tex] = - [tex]\frac{3}{5}[/tex] ← Parallel
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (5, 5)
m = [tex]\frac{5-2}{5-0}[/tex] = [tex]\frac{3}{5}[/tex] ← not parallel
The ordered pairs (-5, -1) and (0, 2); (0,2) and (5,5) could be points on a parallel line because they have the same slope according to the slope formula.
Explanation:In Mathematics, to find whether two points could be on a parallel line, we first need to understand the concept of slope. The slope of a line is determined by the ratio of the vertical change (delta y) to the horizontal change (delta x) between any two points on a line. It is often expressed as 'rise over run'.
If two lines are parallel, they have the same slope. Now, let's check the given ordered pairs. Using the slope formula (slope = (y₂-y₁) / (x₂-x₁)), you find the slope between each set of points:
(-8,8) and (2,2): slope = (2-8)/(2-(-8)) = -6/10 = -3/5 (-5, -1) and (0, 2): slope = (2-(-1))/(0-(-5)) = 3/5 (-3, 6) and (6,-9): slope = (-9-6)/(6-(-3)) = -15/9 = -5/3 (-2, 1) and (3,-2): slope = (-2-1)/(3-(-2)) = -3/5 (0,2) and (5,5): slope = (5-2)/(5-0) = 3/5
From the calculation, (-5, -1) and (0, 2) have the same slope with (0,2) and (5,5). Therefore, the lines passing through these pairs of points are parallel to each other.
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A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If she stakes the rope to the ground 6 feet from the middle of her tent, about how long is the rope from the ground to the tent?
Answer: 7.2
Step-by-step explanation:
Use pythag. here: a(a)+b(b)=c(c)
4(4)=16
6(6)=36
16+36= 52
The square root of 52 is your answer: 7.21110255093. You can round this to 7.2
I need help please.
Answer:
31 / 12
Step-by-step explanation:
To get the perimeter, just add up all the sides of the parallelogram, so 5/8 + 5/8 + 2/3 + 2/3 = 31/12
If f(x)=2x+2and g(x)=x^3, what is (g•f)(2)
Answer: 2x^3+4x+4 would be the answer.
Step-by-step explanation: x^2 can only be combines with another variable with the same exponent. Then you just multiply the whole equation by 2. Hope this helps!
Please I need help I am stuck on this !!
Let's first find the slope
To find the slope you can use any two points in the table. The following are the two I picked:
(-3, 18) and (0, 12)
The formula for slope is
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case...
[tex]y_{2} =12\\y_{1} =18\\x_{2} =0\\x_{1} =-3[/tex]
^^^Plug these numbers into the formula for slope...
[tex]\frac{12 - 18}{0 - (-3)}[/tex]
[tex]\frac{-6}{3}[/tex]
Simplify to...
-2
^^^This is your slope
Y-intercept is where the graph intersect with the y axis, which makes the x value 0. This means that the coordinate should look like so...
(0, y)
In this case the y-intercept is:
(0, 12)
Your answer is B!
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
B. The slope is -2, and the y-intercept is 12.
Step-by-step explanation:
Slope formula:
↓
[tex]\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]
Slope-intercept formula:
↓
[tex]Y=MX+B[/tex]
[tex]\frac{12-18=-6}{0-(-3)=3}=\frac{-6\div3}{3\div3}=\frac{-2}{1}=-2[/tex]
Therefore, the answer is B.
Annabelle works in a deli and has been tracking the daily sales of different items over several months. Annabelle found that when there was an increase in the number of cups of hot chocolate sold, the number of cups of coffee sold also increased. Similarly, when there was a decrease in the number of cups of hot chocolate sold, the number of cups of coffee also decreased.
Which of the following is a valid conclusion?
A.
There is no correlation between the sale of hot chocolate and the sale of coffee.
B.
The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee.
C.
No conclusion can be drawn about the correlation or causation of the sale of hot chocolate and the sale of coffee.
D.
The increase in the sale of hot chocolate caused an increase in the sale of coffee.
Answer:
B. The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee
Step-by-step explanation:
Lets define correlation first:
Correlation is the connection or link between two things. We have to remember that both things or events being correlated doesn't mean that one is caused by the other.
By observing the given question we can conclude that the the increase in sale of hot chocolate is correlated to the sale of coffee but none of them is caused by each other.
Hence, the correct answer is:
B. The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee..
Answer:
The correct answer is B
Step-by-step explanation:
A newspaper advisor claims that an advertisement would increase sales by 35%. Sales are currently $500 per month. What will be the predicted sale in three years?
Answer quick please Points N, P, and R all lie on circle O. Arc PR measures 120° How does the measure of angle RNQ relate to the measure of arc PR?
A.Angle RNQ is equal in measure to arc PR.
B.Angle RNQ is half the measure of arc PR.
C.Angle RNQ is twice the measure of arc PR.
D.Angle RNQ is four times the measure of arc PR.
Answer:
Option A. Angle RNQ is equal in measure to arc PR.
Step-by-step explanation:
we know that
The triangle NOR is an equilateral triangle, because has three equal sides
NO=OR=RN ----> radius of the circle O
therefore
The interior angles of the triangle NOR measures 60 degrees each
so
∠RNO=60°
Find the measure of angle RNQ
we have that
∠RNO+∠RNQ=180° ------> by supplementary angles (linear pair)
substitute
60°+∠RNQ=180°
∠RNQ=180°-60°=120°
we know that
arc PR= 120° ----> see the graph
therefore
∠RNQ=arc PR
Angle RNQ is equal in measure to arc PR.
Answer:
it’s a
Step-by-step explanation:
On a DVD, information is stored on bumps that spiral around the disk. There are 73,000 ridges (with bumps) and 73,000 valleys (without bumps) across the diameter of the DVD. What is the diameter of the DVD in centimeters? Round your answer to the nearest whole number.
Answer:18542
Step-by-step explanation:simplemath
The diameter of the circular DVD is d = 12 cm
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the diameter of the circular DVD be d
The total number of ridges = 73,000
The total number of valleys = 73,000
The width of each ridge = 0.000032 cm
The width of each valley = 0.000074 cm
The length of center portion c = 4.26 cm
And , the diameter of circular DVD = total width of ridges + total width of valleys + center portion
The total width of ridges = ( 0.000032 cm ) x 73,000
The total width of valleys = ( 0.000074 cm ) x 73,000
So , the total width of ridges and valleys = 73,000 ( 0.000106 ) = 7.738 cm
On simplifying , we get
The diameter of circular DVD d = 7.738 cm + 4.26 cm
The diameter of circular DVD d = 11.998 cm
The diameter of circular DVD d ≈ 12 cm
Hence , the diameter of the circular DVD is 12 cm
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What is the Solution to the division problem v
Answer:
The answer is x^2-4x+1
Step-by-step explanation:
For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend, until reaching the remainder.
It must be fulfilled that:
Dividend = Quotient * Divider + Remainder
Answer:
Option C
See attached image
Which of the following expressions are equivalent to -(-5/3)
a. -5/-3
b. 5-/-3
c. None of the above
Answer:
A; [tex]\frac{-5}{-3}[/tex]
Step-by-step explanation:
[tex]-(-\frac{5}{3}) = \frac{5}{3}[/tex]
[tex]\frac{-5}{-3} = \frac{5}{3}[/tex]
[tex]\frac{5}{3} = \frac{5}{3}[/tex]
The mathematical expression -(-5/3) translates to positive 5/3 due to the fact that two negative signs cancel each other out. The expressions equivalent to this is -5/-3, while 5-(-3) is not equivalent.
Explanation:In mathematics, negative signs can change the sign of the operand they are applied to. Essentially, the expression -(-5/3) means the negative of negative 5/3. In mathematics, multiplying or dividing two negative numbers yields a positive result, hence two negative signs cancel each other out. So, -(-5/3) becomes positive (5/3).
Now, let's look at the options provided:
a. -5/-3: As stated before, two negative signs cancel each other, so the result is positive 5/3 which is the same as -(-5/3).
b. 5-(-3): According to the order of operation rules (PEMDAS/BODMAS), subtraction and division operations aren't equivalent. Therefore, this expression is not equivalent to -(-5/3).
So, the answer is a. -5/-3.
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Find the greatest common factor of 270 and 360. (Give the answer in the numerical form in the top box and in
exponential form by filling in the boxes for exponents.)
please help me
the greatest common factor of 270 and 360 is 90.
because 2 x 3 x 3 x 5 = 90
the factors of each number is:
270: 1, 270, 2, 135, 3, 90, 5, 54, 6, 45, 9, 30, 10, 27, 15, 18
360: 1, 360, 2, 180, 3, 120, 4, 90, 5, 72, 6, 60, 8, 45, 9, 40, 10, 36, 12, 30, 15, 24, 18, 20
- Dr. Watson combines 400 mL of detergent,
800 mL of alcohol, and 1,500 mL of water.
How many liters of solution does he have?
A 2.7 liters C 270 liters
B 27 liters D 2,700 liters.
Please give explanation on how you get the answer
Point A (7,3) is translated to A'(16,-9). Which rule describes the translation?
Answer:
(x + 9, y - 12)
Step-by-step explanation:
It's just telling the change from the pre image to the post image. Sorry for the lame explanation lol
Answer:
D (x.y) right arrow (x + 9, y - 12)
Step-by-step explanation:
hello this is the answer yw have a wonderful day!! :)
A color printer prints 10 pages in 6 minutes.
How many minutes does it take per page?
Answer:
1 2/3 pages per minute
Step-by-step explanation:
1) 10/6 = 1.6666666666666 = 1 2/3
Final answer:
To calculate the printing time per page for a color printer, divide the total printing time by the number of pages. In this case, it takes 0.6 minutes to print one page.
Explanation:
To find out how many minutes it takes to print one page on a color printer that prints 10 pages in 6 minutes, we can use time quantification. We divide the total time taken to print the pages by the number of pages printed. So, performing the calculation:
Identify the total time taken for a known number of pages: 6 minutes for 10 pages.
Divide the total time by the number of pages to find the time per page: 6 minutes \/ 10 pages = 0.6 minutes per page.
Hence, the printer takes 0.6 minutes to print one page.
what is 1/2 divided by 74
Hal, Mark, and Frank are driving round-trip to a football game
that is 190 miles from their town. If each of them drives the same
distance, how far will each person drive?
Multiply the polynomials.
(x + 4)(x^2 - 5x+3)
Answer:
x^3 - x^2 - 17x + 12
Step-by-step explanation:
To multiply two polynomials together, first multiply each term of one polynomial by each term of the other polynomial. Then, collect like terms.
(x + 4)(x^2 - 5x + 3) =
Multiply x by each term of x^2 - 5x + 3. Multiply 4 by each term of x^2 - 5x + 3.
= x^3 - 5x^2 + 3x + 4x^2 - 20x + 12
Now collect like terms and write them in descending order of degree.
= x^3 - x^2 - 17x + 12
Answer:
x^3-x^2-17x+12
Step-by-step explanation:
The summer after sophomore year, Haley nannied for a family and earned $2000. She
decided to save it all and deposit it into an account earning 5.8% interest compounded
monthly. When Haley finished college, 6 years later, she decided to use the money to put
deposit on a car. How much money did Haley have?
Answer:
$2,830.09
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.8/100
r = 0.058 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 2,000.00(1 + 0.058/12)(12)(6)
A = 2,000.00(1 + 0.004833333)(72)
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $2,000.00 at a rate of 5.8% per year compounded 12 times per year over 6 years is $2,830.09.
The question asks about the amount of money Haley would have after 6 years, saving $2000 in an account earning 5.8% interest compounded monthly. Using the compound interest formula, she would have approximately $2780.73.
Explanation:This question deals with a financial concept known as compound interest. The formula for compound interest is A = P(1+r/n)^(nt), where A is the amount that the principal P has grown to after n number of times compounded over t periods at an interest rate of r. To calculate how much money Haley has, plug in the values: P=$2000, r=5.8/100=0.058, n=12 (since interest is compounded monthly), and t=6 years.
Therefore, the money Haley has is A=$2000 (1+0.058/12)^(12×6) ≈ $2780.73. Thus, after 6 years, Haley has approximately $2780.73, due to the monthly compounded interest of her savings.
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for what value of a does (1/7)^(3a+3)=343^(a-1)
Answer:
a = 0Step-by-step explanation:
[tex]\left(\dfrac{1}{7}\right)^{3a+3}=343^{a-1}\qquad\text{use}\ a^{-n}=\left(\dfrac{1}{a}\right)^n\\\\7^{-(3a+3)}=(7^3)^{a-1}\qquad\text{use the distributive property}\\\\7^{-3a-3}=7^{3a-3}\iff-3a-3=3a-3\qquad\text{add 3 to both sides}\\\\-3a=3a\qquad\text{subtract}\ 3a\ \text{from both sides}\\\\-6a=0\qquad\text{divide both sides by (-6)}\\\\a=0[/tex]
write and simplify a multiplication expression to represent 5^4
Answer:
Step-by-step explanation:
5 * 5 * 5 * 5
= 625
ANSWER
[tex] {5}^{4} = 625[/tex]
EXPLANATION
We want to simplify the exponential expression 5⁴ by writing and simplifying a multiplication expression that represents it.
This implies that
[tex] {5}^{4} = 5 \times 5 \times 5 \times 5[/tex]
This simplifies to
[tex]{5}^{4} = 25 \times 2 5[/tex]
We finally obtain:
[tex] {5}^{4} = 625[/tex]
In the figure below what is the value of x
Answer:
127
Step-by-step explanation:
As we know that the sum of all angles of a triangle is 180°.
So, here we will apply this knowledge.
[tex]115\°+12\°+x\°=180\°[/tex]
[tex]127\°+x\°=180\°[/tex]
Now, we will subtract 127° from both sides of the equation, and we get;
[tex]x\°=180\°-127\°[/tex]
[tex]x\°=53\°[/tex]
Therefore,[tex]x=53.[/tex]
The value of x° is 53°.
Hence, the third angle in the given triangle is 53°.
What is a triangle?A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon. Every triangle has three sides and three angles, some of which may be the same.
What is called triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. The above figure is a triangle denoted as △ABC. Examples of Triangles. Some real-life examples of triangles include sandwiches, traffic signs, cloth hangers, and a rack in billiards.
What are the parts of a triangle?All triangles have three sides and three corners (angles). The point where two sides of a triangle meet is called a vertex. The base of a triangle can be any one of its three sides, but it is usually the bottom one.
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If F(x) = x^2+ 5x and G(x) = 2x + 1, find F(5) + G(6).
Answer:
The value of F(5) + G(6) is 63.
Step-by-step explanation:
[tex]F(x)=x^2+5x[/tex]
[tex]G(x)=2x+1[/tex]
Value of F(x) , x = 5
[tex]F(5)=5^2+5\times 5=50[/tex]
Value of G(x) , x = 6
[tex]G(6)=2\times 6+1=13[/tex]
F(5) + G(6) :
= 50 + 13 = 63
The value of F(5) + G(6) is 63.
5. Triangle MNO is an isosceles
triangle in which only one angle
measures 122.6°. What is the
angle measure of one of the two
congruent angles?
The measure of the congruent angle of the triangle MNO will be 28.7°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
Triangle MNO is an isosceles triangle in which only one angle measures 122.6°.
Let the measure of the congruent angle be 'x'. Then the equation is given as,
x + x + 122.6° = 180°
2x = 180° - 122.6°
2x = 57.4°
x = 28.7°
The measure of the congruent angle of the triangle MNO will be 28.7°.
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Need help on inequality.
10 less than or equal to - 2/3 (9+12b)
Answer:
b less than or equal to -2.
Step-by-step explanation:
- 2/3 (9+12b) ≥ 10
-6 - 8b ≥ 10
-8b ≥ 16
b ≤ -2. ( Note the inequality sign flips as we are dividing by a negative).
solve the proportion 8/3=g/3 ... A.1/8 B.9/8 C.8 OR D.8/9
Answer:
g = 8. (Answer C)
Step-by-step explanation:
We are given 8/3 = g/3.
If we multiply both sides by 3, this will eliminate the fractions, and we will be left with g = 8. (Answer C).
The solution to the proportion 8/3 = g/3 is g = 8, corresponding to option C.
Explanation:In this proportion, the value of g can be found by solving the equation 8/3 = g/3. Because both sides of the equation are divided by 3, the 3's essentially cancel each other out, leaving you with g = 8.
Therefore, the solution to the proportion 8/3 = g/3 is g = 8. So, the correct answer is C. 8.
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What system of equations is shown on the graph below?
x - 2y = -4 and 2x + y =4
x - 2y = 4 and 2x + y = 4
x - 2y = -2 and 2x + y = -4
x - 2y = 2 and 2x + y =4
Answer:
x - 2y = 4 and 2x + y = -4Step-by-step explanation:
Look at the picture.
Read the coordinates of intercepts of each line.
Put them to slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The blue line:
(4, 0), (0, -2) → b= -2
[tex]m=\dfrac{-2-0}{0-4}=\dfrac{-2}{-4}=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}[/tex]
Substitute the values of a slope and an y-intercept to the equation of a line:
[tex]y=\dfrac{1}{2}x-2[/tex]
Convert to the standard form [tex]Ax+By=C[/tex]:
[tex]y=\dfrac{1}{2}x-2[/tex] multiply both sides by 2
[tex]2y=x-4[/tex] subtract x from both sides
[tex]-x+2y=-4[/tex] change the signs
[tex]x-2y=4[/tex]
The red line:
(-2, 0), (0, -4) → b= -4
[tex]m=\dfrac{-4-0}{0-(-2)}=\dfrac{-4}{2}=-2[/tex]
[tex]y=-2x-4[/tex] add 2x to both sides
[tex]2x+y=-4[/tex]
The answer is B.
Hope it helps
Evaluate the following expression.
(-6) 2
0 -36
0 -1/36
1/36
36
Answer:
36
Step-by-step explanation:
(-6)^ 2
-6*-6 = 36
Math Help It's appreciated. (Picture provided)
Answer:
Option 2
Step-by-step explanation:
As we can see, the old graph was:
y=x^2
And the new graph is:
y = -x^2 + 3
We can determine from the new graph that the minus sign with x^2 means the graph is reflected upon x-axis.
Now, there is 3 with the new graph. As 3 is separate from the function, this means there is vertical shift. Since the sign of the constant defines the direction of shift, the positive or plus sign means the shifting is upwards while the negative sign means downward shifting.
The given new function is obtained from reflecting the old function over the x-axis and shifting up 3.
So, option 2 is correct ..
Which graph shows the solution to the inequality -3x-7 <20?
-
105
10
-10
The solution to the inequality is [tex]\(x > -9\)[/tex]. Therefore, the option b is correct.
To solve the inequality [tex]\(-3x - 7 < 20\)[/tex], we'll isolate the variable [tex]\(x\)[/tex] step by step.
Given inequality:
[tex]\[ -3x - 7 < 20 \][/tex]
Add 7 to both sides of the inequality:
[tex]\[ -3x < 20 + 7 \ \\\\\\[ -3x < 27 \][/tex]
Now, divide both sides by [tex]\(-3\)[/tex]. Remember, when dividing or multiplying by a negative number, we need to reverse the inequality sign:
[tex]\[ x > \frac{27}{-3} \ \\\\\\[ x > -9 \][/tex]
The solution to the inequality is [tex]\(x > -9\)[/tex]. This means that any value of [tex]\(x\)[/tex] that is greater than -9 satisfies the inequality [tex]\(-3x - 7 < 20\)[/tex].