If you vertically stretch the absolute value parent function, f(x)=|x|, by a factor of 4, which of these is the equation of the new function?

Answer:

125

Step-by-step explanation:

25 × 5 = 125

x/5 = 25 × 5 = 125

x = 125

Answer:

I chose a box of cereal-------> rectangular prism

see the attached figure

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

Describe the shape of the cross-section when the box is cut parallel to the base

the shape of the cross-section would be a rectangle of dimensions

20 cm x 8 cm

Part 3)

What is the surface area of the box?

surface area=2*area of the base+perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box=[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5)

What is the volume of the box?

volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6)

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

Step-by-step explanation:

Answer:

541/2 square

Step-by-step explanation:

we know that

the volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is 541/2 square

Answer:

-0.756

Step-by-step explanation:

N1 = 9

N2 = 9

Sd1 = 1.5 hours

Sd2 = 1.3 hours

X1 = 5 hours

X2 = 5.5 hours

Hypothesis

H0: mu1 - mu2 = 0

H1 : mu1 - mu2 not equal to 0

Test statistic

t = (x1 - x2)/SE

SE is the standard error, which is unknown

SE = √sd1²/n1 + sd2²/n2

= √1.5²/9 + 1.3²/9

= √0.25+0.1878

= √0.4378

= 0.66166

t statistics = (5-5.5)/0.66166

= -0.5/0.66166

= -0.756

Answer:

3

Step-by-step explanation:

1+ω+w²=0

ω³=1

(1-ω)(1-ω²)=1-ω²-ω+ω³

=1-ω-ω²+1

=2+1-1-ω-ω²

=3-(1+ω+ω²)

=3-0

=3

Answer:

He completes a lap running in 3 minutes, and walking in 4 minutes.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the time needed to complete a lap running.

y is the time needed to complete a lap walking.

He requires 40 minutes to do 4 laps running and 7 laps walking.

This means that:

[tex]4x + 7y = 40[/tex]

[tex]4x = 40 - 7y[/tex]

He requires 18 minutes to do 2 laps running and 3 laps walking.

This means that

[tex]2x + 3y = 18[/tex]

Multipluing everything by 2

[tex]4x + 6y = 36[/tex]

Since [tex]4x = 40 - 7y[/tex]

[tex]40 - 7y + 6y = 36[/tex]

[tex]y = 4[/tex]

And

[tex]4x = 40 - 7y[/tex]

[tex]4x = 40 - 7*4[/tex]

[tex]4x = 12[/tex]

[tex]x = \frac{12}{4}[/tex]

[tex]x = 3[/tex]

He completes a lap running in 3 minutes, and walking in 4 minutes.

Answer: Polynomials like to be written in standard form. This means they contain no like terms and the exponents are in descending order (largest to smallest).

Step-by-step explanation:

Answer: only student 2

Answer:

its 1 and 2

Step-by-step explanation:

first find A' which is(1,2,3) since these are in the universal set but not in A.

similary B' which is (1,2,5,6)

and since (1,2) are both in A' and B' set A'nB'=(1,2)

Answer:

Step-by-step explanation:

U={1,2,3,4,5,6,7}

A={4,5,6,7}

B={3,4,7}

A'={1,2,3}

B'={1,2,5,6}

A'∩B'={1,2}

Step-by-step explanation:

Given. radius (r) = 15 cm

Circumference (C)

= 2 π r

= 2 * 3.14 * 15

= 94.2 CM

I Got this answer.....

Answer:

Not sure if that is "9x" or "9 times" but I will do both. I have attached a picture of me solving and explaining the steps. Hope this helps, thank you !!

Answer:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x - 20}{ x^2 + x - 20}[/tex]

Required

Decompose into partial fraction

Start by factorizing the denominator:

[tex]x^2 + x - 20 =x^2 + 5x -4x- 20[/tex]

[tex]x^2 + x - 20 =x(x + 5)-4(x+5)[/tex]

[tex]x^2 + x - 20 =(x-4)(x+5)[/tex]

So, we have:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]

Take LCM

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}[/tex]

Cancel out the denominator

[tex]x - 20 = A(x+5)+B(x-4)}[/tex]

Open brackets

[tex]x - 20 = Ax+5A+Bx-4B[/tex]

Collect Like Terms

[tex]x - 20 = Ax+Bx+5A-4B[/tex]

[tex]x - 20 = (A+B)x+5A-4B[/tex]

By comparison;

[tex](A +B)x = x[/tex] ==>[tex]A + B = 1[/tex]

[tex]5A - 4B = 1[/tex]

Make A the subject in [tex]A + B = 1[/tex]

[tex]A = 1 - B[/tex]

Substitute 1 - B for A in [tex]5A - 4B = 1[/tex]

[tex]5(1-B) -4B = 1[/tex]

[tex]5-5B -4B = 1[/tex]

[tex]5-9B = 1[/tex]

Collect Like Terms

[tex]-9B = 1 - 5[/tex]

[tex]-9B = - 4[/tex]

[tex]B = \frac{4}{9}[/tex]

[tex]A = 1 - B[/tex]

[tex]A = 1 - \frac{4}{9}[/tex]

[tex]A = \frac{9-4}{9}[/tex]

[tex]A = \frac{5}{9}[/tex]

So:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]

Answer:

Step-by-step explanation:

Evaluate means to see what value the equation has given x is 2

substitute x for 2 (write instead of x, write 2)

5x-2 will be 5*2-2 , calculate 5*2-2= 10-2 = 8

Answer:bb

Step-by-step explanation:

Answer:

4x+8=54 this is the correct answer

Answer:

di ko po alam ehh

Step-by-step explanation:

sorry po

Answer:

Step-by-step explanation:

What is the question?

Price reduced by $15

Percentage reduction = 15/60 = 0.25 = 25%

Answer:

x>10,x<−5

Step-by-step explanation:

[tex]x > - 5[/tex] or [tex]x < 10[/tex] are the two possible solutions to the given  inequality.

An absolute value function is a function that contains an algebraic expression within absolute value symbols.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

According to the given question.

We have an inequality |3x| > x + 20

Solve the above given inequality |3x| > x + 20

⇒ [tex]-(x + 20) < 3x < +( x + 20)[/tex]

⇒ [tex]-x -20 < 3x < x + 20[/tex]

⇒ [tex]3x > -x -20[/tex] or [tex]3x < x + 20[/tex]

⇒ [tex]3x+x > -20[/tex] or [tex]3x - x < 20[/tex]

⇒ [tex]4x > -20[/tex] or [tex]2x < 20[/tex]

⇒[tex]x > -5[/tex] or [tex]x < 10[/tex]

⇒ x ∈ (-∞, -5)∪(10,∞)

Hence, [tex]x > - 5[/tex] or [tex]x < 10[/tex] are the two possible solutions to the given  inequality.

Find out more information about absolute value inequalities here:

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Answer:

is that even a question ?

Step-by-step explanation:

3/10x=294

x=294*10/3

x=980 students

if you found my answer helpful please mark as brainliest.

Ohhhhhh I get it I thought something else

Answer:

equivalent fractions

Step-by-step explanation:

When fractions have different numbers in them, but have the same value, they are called equivalent fractions. Let's take a look at a simple example of equivalent fractions: the fractions ½ and 2/4. These fractions have the same value, but use different numbers.

Answer:

R1620

Step-by-step explanation:

1620 ×1=1620

1620×2=3240

1620×3=4860

1620×4=6480

1620×5=8100

Answer:

Step-by-step explanation:

Equation of a line  representing the relation between distance from the peak of the mountain and time is,

h = mt + b

Here, m = Slope of the line

b = y-intercept

Since, slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table attached,

Slope of the line passing through (2, 2600) and (5, 950) will be,

m = [tex]\frac{2600-950}{2-5}[/tex]

   = -550

Therefore, equation of the line will be,

h = -550t + b

Since, point (2, 2600) lies on this line,

2600 = -550(2) + b

b = 2600 + 1100

b = 3700

So, equation of the line will be,

h = -550t + 3700

Input - output values for this line,

t            2             4            6  

h        2600      1500       400  

Now we can plot these points and get the graph of the line.

Answer:

Step-by-step explanation:

Answer:

[tex]89 - 4 {}^{2} \times 4 + 12 = 89 \\ - 16 \times 4 + 12 \\ \\ = 89 - 64 + 12 \\ \\ = 25 + 12 \\ \\ = 37[/tex]

89-4^2×4+12=89-16×4+12

= 89-64+12

= 25+12

= 37

Answer:

21/40.

Step-by-step explanation:

Find the LCD (Least Common Denominator) of the fractions. The LCD of 5/8 and 1/10 is 40.

Convert both fractions into denominators of 40.

So then we have: 25/40 - 4/40 which is equal to: 21/40.

21/40 is the estimated value of the expression  5/8 -1/10

A number system is defined as a system of writing to express numbers.

The given expression is 5/8 -1/10

The terms in the expression are in the form of fractions, A fraction represents a part of a whole.

To find the value of expression firstly find the LCM of 8 and 10

40 is the LCM

5(5)-1(4)/40

25-4/40

The value of 25 minus 4 is twenty one.

21/40 is the value of the expression  5/8 -1/10

Hence, 21/40 is the estimated value of the expression  5/8 -1/10

To learn more on Number system click:

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Answer:

(4 × 9) / 2 = 36/2 = 18 gitu yaaa

Answer:

18

Step-by-step explanation:

plug in r and s

4(9)/2

36/2

18

Answer:

M<E

Step-by-step explanation:

It would be m

Answer:

sorry if it’s late, but that would be

B) 84

i just took the test.

Answer:

4kg=4m/s

8kg=?

3m/s

Step-by-step explanation:

12kgm/s/4kg

Answer:

ŷ = 0.1286X - 123.2175 ;

R = 0.9465

R² = 0.8958

Step-by-step explanation:

Given the data:

Traffic Flow, X : ()

1257

1329

1227

1336

1349

1124

Vehicle speed, Y () :

36

45

30

50

55

25

The estimated regression equation using a linear regression calculator is given thus:

ŷ = 0.1286X - 123.2175

According to the general linear regression formula :

y = mx + c

Where ; y = predicted variable (vehicle speed)

x = predictor variable (traffic flow)

Slope, m = 0.1286

Intercept, c = 123.2175

The correlation Coefficient, R = 0.9465, This depicts a strong positive relationship between traffic flow and vehicle speed.

The Coefficient of determination, R² = 0.9465² = 0.8958 ; This means about 89.5% of variation in Vehicle speed can be explained by the regression line.

Answer:

24

Step-by-step explanation:

18 is 75% of 24.

Answer:

the answer of this question is

c