Answer:
225 cm²
Step-by-step explanation:
dilatation factor = 3 , then
area factor = 3² = 9
the area of the dilated polygon is then 9 times the area of the original so
area of dilated polygon = 9 × 25 = 225 cm²
Use the graph of the exponential growth function
f(x) = a(2x) to determine which statement is true.
f(0) = 2 when a = One-half.
f(0) = 3 when a = 3.
f(1) = 9 when a = 9.
By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)
How to analyze an exponential function
Herein we should analyze an exponential function of the form f(x) = a · 2ˣ and find what proposition is true by direct evaluation:
x = 0
2 = a · 2⁰
a = 2
x = 0
3 = a · 2⁰
a = 3
x = 1
9 = a · 2
a = 9/2
By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)
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Match each equation to the situation it represents.
Answer:
1-3
2-2
3-1
Step-by-step explanation:
[tex]2^{x^2-5x}=\frac{1}{64}[/tex]
Answer:
2, 3
Step-by-step explanation:
See attached images for work.
How can you find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model?
The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)
Conditional ProbabilityThis is the probability that an event has happened given another event. If the two events are A and B, hence;
The conditional probability of A given B is expressed as:
P(A | B) = P(AnB)/P(B)
This given the fractions representing the conditional probability
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Sweet corns purchased for $9 are markup by 10%. When no one bought the sweet corns, they decided to markdown the corn by 10% from the markup price. What is the selling price of the corn?
Please help me asap.
Answer:
B
D
A
C
Step-by-step explanation:
Whatever is listed 2nd in the parentheses, do that function first. Then take that result & do the function listed first.
Jillian is trying to determine what helium tank pressure she needs to fill balloons for the student council dance. Find the unknown numbers in the table until you find the best answer to the question.
Which cylinder pressure will Jillian need if she plans to fill 90 balloons?
According to the typical Helium Cylinder/Balloon Chart, she will need 300 pounds of pressure to fill 90 balloons. Option D is correct.
What is pressure?The force applied perpendicular to the surface of an item per unit area across which that force is spread is known as pressure. The force involved vertically to the surface of an object per unit area is pressure.
It is denoted by P. The pressure relative to the ambient pressure is known as the gauge pressure.
The complete question is:
Jillian is trying to determine what helium tank pressure she needs to fill balloons for the student council dance. Find the unknown numbers in the table until you find the best answer to the question. Which cylinder pressure will Jillian need if she plans to fill 90 balloons? Tank Pressure and Balloon Quantity Pressure in the helium cylinder (psi) Number of 9-inch balloons 100 30 150 ? 200? 250? 300?
According to the typical Helium Cylinder/Balloon Chart, she will need 300 pounds of pressure to fill 90 balloons (PSI.)
Simply divide the number of balloons by the total PSI to arrive at this figure.
⇒990/300
⇒3.333333 psi each.
The no of the 90-inch balloon is found as;
⇒3.33333 × 90
⇒300
According to the typical Helium Cylinder/Balloon Chart, she will need 300 pounds of pressure to fill 90 balloons.
Hence option D is correct.
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Difference between 13.40 and 17.15
Answer:
3.75
Step-by-step explanation:
17.15-13.40=3.75
Answer:
3.75
Step-by-step explanation:
17.15- 13.40=3.75
Separating variable in the equation gives you the following equation:
Answer:
[tex]\textsf{E.} \quad y\:dy=xe^x\:dx[/tex]
Step-by-step explanation:
Given equation:
[tex]ye^{-x}\dfrac{dy}{dx}=x[/tex]
Divide both sides by [tex]e^{-x}[/tex]:
[tex]\implies \dfrac{ye^{-x}}{e^{-x}}\:\dfrac{dy}{dx}=\dfrac{x}{e^{-x}}[/tex]
[tex]\implies y\:\dfrac{dy}{dx}=\dfrac{x}{e^{-x}}[/tex]
Multiply both sides by [tex]dx[/tex] :
[tex]\implies y\:\dfrac{dy}{dx}\cdot dx=\dfrac{x}{e^{-x}}\cdot dx[/tex]
[tex]\implies y\:dy=\dfrac{x}{e^{-x}}\:dx[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{1}{a^{-n}}=a^n:[/tex]
[tex]\implies y\:dy=xe^x\:dx[/tex]
Answer: E
Step-by-step explanation:
[tex]ye^{-x} \frac{dy}{dx}=x\\\\y \frac{dy}{dx}=xe^{x} \\ \\ \boxed{y dy=xe^{x} dx}[/tex]
X+1/2y=5 What is the rate of change of y with respect to x?
Answer:
I'll do it the answer to x is 5 0 the answer to y will be 0 10
Find the area for a triangle that has a base of 24 inches and a height of 4 inches. 96 in 2 48 in 2 cannot be determined 28 in 2
Answer:
48 in²
Step-by-step explanation:
triangle = bh/2
triangle = 24 x 4 / 2
triangle = 48 in²
If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
Answer:
The expression that represents the PS is 7x – 7 .
if I am right mark the answer as brainliest
Which table represents a linear function?
Answer:
1st one.
Step-by-step explanation:
Determine the x-intercept of the following equation.
(-x-2)(x-3)=y
Answer:
3,-2
Step-by-step explanation:
set y =0 and solve
(-x-2)(x-3)=0
the values 3, -2 solve the equation and are your x-intercepts
An unknown number b is 10 more than an unknown number k. The number b is also k less than 8. The equations to find k and b are shown below
b=k+10
b=-k+8
Which is a correct step to find k and b?
O Write the points where the graphs of the equations intersect the x-axis.
O Write the points where the graphs of the equations intersect the y-axis.
O Add the equations to eliminate k
O Multiply the equations to eliminate b.
Answer: Add the equations to eliminate k
Step-by-step explanation:
Adding the equations together, we get 2b=18.
Samuel and 4 of his friends entered a chili cook-off. The rules allowed them
to spend a certain amount on supplies. If each person spent $15 for
supplies, how much did they spend in all?
Answer:
$75
[It is easy to say $60, but don't forget to add Samuel to the total]
Step-by-step explanation:
There are 5 people in total:
1 Samuel
4 friends
5 people who can spend up to $15 each.
(5 people)*($15/person) = $75 total spent on supplies
Yui makes a list of the balances in her savings account at the end of each month. She notices that each month’s total is 5% greater than the previous month’s total. She writes a recursive formula to describe the account balances.
The Common Ratio is 1.05 . Option C is the answer.
The complete question is
Which value should she use as the common ratio?
0.05
0.5
1.05
5.0
What is common Ratio ?In a Geometric Sequence the ratio between each if the consecutive number is called the common Ratio.
Let Yui saving at the end of first month is Rs.x .
As given in the question
each month’s total is 5% greater than the previous month’s total.
Saving after second month is = First Month Total + 5% of First Month Total
= x + (5 % of x )
= x + (5*x/100)
= x + 0.05x
= 1.05x.
Yui balance is 1.05 times of Previous Month balance
Common Ratio = {Next Month }/ {Previous Month}
Common Ratio = 1.05 x / x
Common Ratio = 1.05
Therefore Common Ratio is 1.05 . Option C is the answer.
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Find two integers whose sum is 2 and product is -3
Answer: -1+3=2 and -1×3=-3
Step-by-step explanation:
This is the best answer I could give. I hope this helps!! :)
can someone please help mee
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Domain = [-9, -1][/tex]
[tex]\qquad \tt \rightarrow \:Range = [-1 , 3][/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Domain = All possible values of x for which f(x) is defined
[ generally the extension of function in x - direction ]
Range = All possible values of f(x)
[ generally the extension of function in y - direction ]
[tex] \large\textsf{For the given graph : } [/tex]
[tex]\qquad \tt \rightarrow \: domain = [ - 9, -1][/tex]
[tex]\qquad \tt \rightarrow \: range= [ -1,3][/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
What are the zeros of this function?
g(x) = 2(x + 2)(x - 9)
The zeros of function g are located at
and
The pie chart below shows how the annual budget for a certain companies divided by department is a total budget is 15,000,000 what amount is budgeted for sales research and engineering combined
If the amount of budget for media and sales combined is $25,000,000. Then the total annual budget will be $125,000,000.
The complete question is attached below.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
The pie chart below shows how the annual budget for a certain company divided by department.
If the amount of budget for media and sales combined is $25,000,000.
Then the total annual budget will be
Let x be the total annual budget.
17% + 3% = 25,000,000 / x
20% = 25000000 / x
0.20 = 25000000 / x
x = $125,000,000
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If 45 is added to half a number, the result is triple the number. find the number
Answer:
18
Step-by-step explanation:
x = number
45 + 1/2 x = 3x
45 = 2.5 x
x = 45/2.5 = 18
Answer:
18
Step-by-step explanation:
Hello!
"Half a number" can be represented by 0.5x and "triple the number" can be represented by 3x.
This just becomes a one variable equation: 45 + 0.5x = 3x
Solve:
45 + 0.5x = 3x45 = 2.5x18 = xThe missing number is 18.
In a cake recipe, 400 grams of butter is mixed with 800 grams of flour. What is the ratio of the butter to the flour? Write it in its simplest form.
Answer:
First of all this is 5th grade math but 400/800 = 1/2
Step-by-step explanation:
Answer:
1:2
Step-by-step explanation:
400/800=1/2 as 400*2=800
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Consider the given table. x -2 2 5 9 f(x) 5 17 26 ?
The "?" in the table represents the number_because the average rate of change on every interval of the function is_ .
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The value of f(x) when the value of x is 9 is 38.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The given data points are in a linear relation, therefore, if we find the slope of the line on which these data points will be located. Then the slope will be,
m = (17-5)/(2+2) = 3
Now, equate any point and the slope in the general equation of line, therefore, the equation will be,
y = 3x + c
17 = 3(2) + c
17 - 6 = c
c = 11
Further, the value of f(x) when the value of x is 9 will be,
f(x) = 3x + 11
f(9) = 3(9) + 11
f(9) = 38
Hence, the value of f(x) when the value of x is 9 is 38.
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Find the measure of angle DCF=
help me please :)) ty
Answer:
∠ DCF = 39°
Step-by-step explanation:
the secant- secant angle DCF is half the difference of the measures of the intercepted arcs, that is
∠ DCF = [tex]\frac{1}{2}[/tex] (EG - DF) = [tex]\frac{1}{2}[/tex] (127 - 49)° = [tex]\frac{1}{2}[/tex] × 78° = 39°
You can walk over the mountains to
your campsite or take a safer, easier trip around the mountains. You
are on the ground at P(0, 0) and the campsite is at C(-2, 7). You
travel around the mountain by going to A(2, 5). The coordinate
system is measured in meters. Draw a diagram of the situation.
Find PA and AC.
Answer:
PA = [tex]\sqrt{29}[/tex]
AC =[tex]\sqrt[2]{5}[/tex]
Step-by-step explanation:
distance formula : if [tex](x_{1},y_{1}) and (x_{2},y_{2})[/tex] are two points on a line segment then distance between both the points is given by distance formula.
[tex]d = \sqrt{[(x_{2} - x_{1} )^2 +(y_{2} - y_{1})^2]}[/tex]
therefore ,
given points are , A(2, 5), P(0, 0), C(-2, 7).
so PA = [tex]\sqrt{[({2} - {0} )^2 +({5} - {0})^2]} = \sqrt{({2} )^2 +({5} )^2}[/tex]
PA = [tex]\sqrt{\229}[/tex]
similarly,
AC = [tex]\sqrt{[({-2} - {2} )^2 +({7} - {5})^2]} = \sqrt{({4} )^2 +({2} )^2}[/tex]
AC = [tex]\sqrt{20} = \sqrt[2]{5}[/tex]
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Compare the ratios using the models.
7 to 16
6:8
Which statements are true? Check all that apply.
The model for the ratio 7 to 16 should show 7 cells
shaded.
The model for the ratio 6:8 should show 8 cells
shaded.
The ratio 7 to 16 is greater than 6:8.
The ratio 6:8 is greater than the ratio 7 to 16.
The correct options are Option A: the ratio 7 to 16 should show 7 cells shaded and Option D: 6:8 is also greater than 7:16.
The ratio is the representation of the fraction where the fraction is represented by : symbol.
In the ratio a:b, it simplifies that a number of parts are shades among b number of cells.
Here given two ratios are 7:16 and 6:8.
The ratio 7:16 simplifies that 7 cells are shaded from 16 number of cells.
similarly, 6:8 simplifies that 7 cells are shaded from 8 number of cells.
As 6:8 and 7:16 can be written as in the fraction form which are 6/8 and 7/16.
Then multiply 2 in both denominator and numerator of 6:8 will be
6/8= 12/16
Now comparing between 12/16 and 7/16
12/16 > 7/16 as the denominator is same and the numerator is greater in 12/16.
Then 6:8 is also greater than 7:16.
So by checking all the options
Option A is correct: from above i is clear that the ratio 7 to 16 should show 7 cells shaded.
Option D is correct: 6:8 is also greater than 7:16.
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Translate the algebraic expression below into a written expression.
5x ^ 3 + 2x ^ 2 - 9
A. five times X cubed plus two times X squared plus nine
B. five times X cubed and two times X squared minus nine
C. five times X squared plus two times X cubed minus nine
D. the sum of five times X squared and two times X cubed minus nine
Answer:
B
Step-by-step explanation:
five times x cubed plus/and two times x squared minus nine.
A store selling school supplies advertises a bundle deal. The consumer can
pick a backpack, a binder, a pack of pencils, and notebook paper for a set
price. There are 6 types of backpacks, 4 types of binders, 5 types of pencils,
and 2 types of notebook paper. How many outcomes are possible in this
bundle?
Answer:
D. 240
Step-by-step explanation:
6 types of backpacks = 6
4 types of binders = 4
5 types of pencils = 5
2 types of notebook paper= 2
6×4×5×2=
24×10=
240
The number of possible outcomes will be 240. The correct option is D.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that there are 6 types of backpacks, 4 types of binders, 5 types of pencils, and 2 types of notebook paper.
6 types of backpacks = 6
4 types of binders = 4
5 types of pencils = 5
2 types of notebook paper= 2
The number of possible outcomes will be calculated as:-
N = 6×4×5×2
N = 24×10
N = 240
Therefore, there will be 240 possible outcomes. The correct answer is D.
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There are eight shirts in your closet, three blue, two are black, one is green, and two are white. You randomly select one to wear on Monday and then a different one on Tuesday. What is the probability that you wear blue shirts on both days?
(please write an explanation)
The probability of wearing blue shirts on both days is 3/28.
What is probability?Probability is the measure of the likelihood of an occurrence.
Given:
8 shirts are available out of which 3 are blue, 1 is green and 2 are white.
P(blue on Monday) = 3/8
Now, 7 shirts are left to wear on Tuesday
P(blue on Tuesday) =2/7
So,
the probability of wearing blue shirts on both days = 3/8 * 2/7 = 3/28
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