Complete the table.
y = f(g(x))
u = g(x)
y = f(u)
y = 8 tan(itx5) u =
I
y = 8 tan u

Answer:

Area = 16 in²

Step-by-step explanation:

Represent the length with L and the width with W

We have the following given parameters:

L = 4W

Perimeter = 20

Required

Determine the area.

The perimeter is calculated as thus:

Perimeter = 2(L + W)

Substitute 4W for L and 20 for Perimeter.

20 = 2(4W + W)

20 = 2 * 5W

20 = 10W

Solve for W

W = 20/10

W = 2

Recall that:

L = 4W

L = 4 * 2

L = 8

The area is then calculated as thus:

Area = L * W

Area = 8 * 2

Area = 16

Hence, the area is 16in²

Answer:

16;20

Step-by-step explanation;

you can both multiply by 4

4 x 4 = 16 and 5 x 4 = 20.

Answer:

y = -5x + 15

Step-by-step explanation:

the y intercept was given (0,15)

to find the slope do rise/run

20 / -4 = -5

so the slope is -5

Answer:

B

Step-by-step explanation:

Answer: 2.5

Step-by-step explanation:

Given the relationship between month since plant was bought t and plant height H ;

t

0.5

3

5

H:

17.25

23.5

28.5

Using the online regression calculator, the regression model obtained is :

y = 16x + 2.5

Using this model, we can obtain the height when t = 0 ; this will give the height at the time of purchase of the plant. Therefore, at x = 0

y = 16(0) + 2.5

y = 0 + 2.5

y = 2.5

Hence, height of plant = 2.5

Answer:

16 inches

Step-by-step explanation:

Answer:

3,-1

Step-by-step explanation:

you go over to the left 3 and than you go down 4.

Answer:

False, since x values cannot have more than one y value.

Step-by-step explanation:

False, since x values cannot have more than one y value.

Answer:

9 minutes is the half life of the radioisotope.

Step-by-step explanation:

Given;

initial count rate = 7,600 counts per minute

final count rate = 1,900 counts per minute

elapsed time, t = 18 minutes

The half life of the radioisotope is calculated as;

       Time (half life) --------------------------remaining count rate

                     0  ------------------------------7,600 counts per minute

                      x ------------------------------3,800 counts per minute

                     2x----------------------------- 1,900 counts per minute

thus, 2x = 18 minutes

x = 18 / 2

x = 9 minutes

Therefore, 9 minutes is the half life of the radioisotope.

9514 1404 393

Answer:

Step-by-step explanation:

1. Multiplying the function by a constant stretches the graph by that constant. Here, you want a stretch factor of 2, so you have ...

  g(x) = 2f(x) = 2|x|

__

2. Negating a function causes its graph to be reflected over the x-axis. That makes your second function look like ...

  g(x) = -2|x|

__

3. Subtracting 3 from the function value shifts its location on a graph down by 3 units. Your third function will be ...

  g(x) = -2|x| -3

__

4. Subtracting a constant from the x-value causes the graph of the function to be shifted right by that amount. Here you want a right shift of 1 unit, so your function is ...

  g(x) = -2|x -1| -3

Answer:

the other users is correct, sorry I was going to answer until i saw it was already but it wouldn't let me of the screen

Step-by-step explanation:

Answer:

37.52 million

Step-by-step explanation:

using,

A = A'(1+R/100)ⁿ............................. equation 1

Where A = population size in 2015, A' = Initial population, R = rate in percentage, n = number of times between 2010 and 2015.

Given: A' =35.7 million, R = 1%, n = 5.

Substitute these values into equation 1

A = 35.7(1+0.01)⁵

A = 37.52 million.

Hence the size of the population of the country in the year 2015 is 37.52 million

Answer:

Domain: (-infinity, +infinity) since you can pick any x values.

Range: [0, +infinity) since it does not go below the x axis.

Step-by-step explanation:

The graph is a parabola given by [tex]y=x^2[/tex]

lets pick a few x values:

x = 1 gives us y = 1^2, which = 1

x = -1 gives us y = (-1)^2, which = 1

The parabola's domain is any x value as it extends to infinity.

For its range, you can see that it does not go below the x axis at x = 0. Therefore, the range of the parabola is from [0, infinity]

The algebraic equation representing the given statement is

2(x + 5) = 40.

We have,

Let's translate the given statement into an algebraic equation.

The sum of a number (let's call it x) and five can be expressed as (x + 5).

Twice the sum of a number and five is equal to 40, so we can write it as:

2(x + 5) = 40

Therefore,

The algebraic equation representing the given statement is

2(x + 5) = 40.

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The point of intersectiom where the 2 lines cross each other is when it is 14 minutes.

Answer:

14 minutes according to the graph

Answer:

an expression

Step-by-step explanation:

Sorry if i'm wrong if i'm wrong then a term maybe

Answer:

y= 3x/2-2

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

if she walk 8 to the left she will be at 18-13 which is his location

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

No,

Delilah is not standing with Petro after she walks 8 units to its left.

The position on the map is not the same.

The coordinates of Delilah and Petro is not the same.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The following coordinates.

Delilah is standing at (10, -13).

Pedro is standing at (18, -13).

Delilah walks 8 units left.

This means,

The coordinates of Dellah will be,

(10, -13) → (10 - 8, -13) = (2, -13)

In order for Delilah to stand together with Pedro both their coordinates must be equal.

Delilah coordinates = (2 , -13)

Pedro coordinates = (18, -13)

Thus,

No,

Delilah is not standing with Petro after she walks 8 units to its left.

The position on the map is not the same.

The coordinates of Delilah and Petro is not the same.

Learn more about coordinates here:

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Answer:

x=5

Step-by-step explanation:

1. Combine like terms to simplify the equation.

Combining like terms means to combine anything that has the same variable, degree, or no variable at all.

-3x and +6x are like terms, for example because they both have an x.

Add them together to get 3x.

2. Rewrite the equation as the simplified version of 3x-8=7.

3. Add 8 to both sides to cancel out 8 on the left side.

3x=15.

4. Divide by 3 to isolate x.

x=5

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

-3x - 8 + 6x = 7

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 7 does indeed equal 7.

∴ x = 5 is a solution of the equation.

Answer:

"’I don't want a fashionable wedding, but only those about me whom I love, and to them I wish to look and be my familiar self.’"

Step-by-step explanation:

Answer:

the one above my answer is correct

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation:

Simplifying

10x + -4 = 6x + 8

Reorder the terms:

-4 + 10x = 6x + 8

Reorder the terms:

-4 + 10x = 8 + 6x

Solving

-4 + 10x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-4 + 10x + -6x = 8 + 6x + -6x

Combine like terms: 10x + -6x = 4x

-4 + 4x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

-4 + 4x = 8 + 0

-4 + 4x = 8

Add '4' to each side of the equation.

-4 + 4 + 4x = 8 + 4

Combine like terms: -4 + 4 = 0

0 + 4x = 8 + 4

4x = 8 + 4

Combine like terms: 8 + 4 = 12

4x = 12

Divide each side by '4'.

x = 3

Simplifying

x = 3

Add

to both sides of the equation

Simplify

Add

to both sides of the equation

Simplify

6

Divide both sides of the equation by the same term

Answer:

2) 4/3

Step-by-step explanation:

(4^-3 * 3^4 * 4^2)/(3^5 * 4^-2)

4^-3 * 3^4 * 4^2 = 4^-1 * 3^4

(4^-1 * 3^4)/(4^-2 * 3^5)

(3^4)/(3^5) = 1/(3^5-4)

(4^(-1))/(4^-2 * 3^(5-4)

(4^-1)/(4^-2 * 3)

4^(-1 - (-2)) / (3)

-1 - (-2) = 1

4/3

Answer:

its c (4x^2)

Step-by-step explanation:

The greatest common factor of the polynomial expression 4x - 32x - 60x is 4x

The polynomial expression is given as:

4x - 32x - 60x

Factor out x from the terms in the expression

x(4 - 32 - 60)

Factor out 4 from the terms in the expression

4x(1 - 8 - 15)

Hence, the greatest common factor of the terms is 4x

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Answer:

It is in fact 113 I'm just here to explain

Step-by-step explanation:

Basically M6 and M7 must make a staright line(180) and since we already know that M6 is 67 we just have to subtract 67 from 180 to get the answer we are looking for. ( it would be the same process if we were looking for M1 (113) and also if you had the measure of M1 you would have had your answer to M7 because they are vertical angles therefore making them congruent

Answer:

[tex]1 \div 6 \times 72 = 12[/tex]

Answer:

4.25

Step-by-step explanation:

This question is incomplete, the complete question is;

Assume that body masses of Goldfinch birds follow a normal distribution, with a standard deviation equal to 0.04 oz. An ornithologist who would like to make some inference about the average body mass of the Goldfinch birds. In particular, at a significance level of 0.01, she would like to test the null hypothesis H₀: Average body mass of the Goldfinch birds is 0.5 oz, against the alternative claim that average body size is less than 0.5 oz.

      Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula

Answer: the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

Step-by-step explanation:

Let us consider testing a hypothesis about a population mean with population standard deviation that is known,

Let the average body mass of the Goldfinch bird be μ^μ

Now our hypotheses are will be;

H₀ : μ = 0.5    and

H₁ : μ < 0.5

For the test, we shall use the z statistic which will be

z = (x"-μ)/(σ/√n)

Now given that;

σ = 0.04 and n = 4  

sample mean x" = ?

Now in order to be able to reject the null hypothesis, the p-value should be ≤ α = 0.01.

so to find the largest value of sample mean, we will use the maximum of p-value that is 0.01.

For a p-value = 0.01 at the lower tail (which is the percentile for z),

the corresponding z will be -2.33

so we substitute our values into our formula

z = (x"-μ)/(σ/√n)

z(σ/√n) = (x"-μ)

-2.33(0.04/√n) = (x"-0.5)

-0.0466 = x" - 0.5

x" = 0.5 - 0.0466

x"= 0.4534

therefore the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

Answer:

Result: 3/2 = 1 1/2 = 1.5 Result in words: three halves (or one and one half) Solve problems with two, three, or more fractions and numbers in one expression. The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5) BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

☪️ Meaning of BODMAS:-

B - Bracket

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

☪️ Work:-

1 ÷ 2 × ((5 + 4 × 0) + 5 × 0)

0.5 × ((5 + 4 × 0) + 5 × 0)

0.5 × ((5 + 0) + 5 × 0)

0.5 × (5 + 5 × 0)

0.5 × (5 + 0)

0.5 × 5

2.5

Sorry if I’m not correct.

Hope this helps!

(*^ω^*)

Answer: Interesting question bro

Step-by-step explanation:

Hello, i do believe that you are asking me to do pythagorean theorem.

I'm not too sure if we are solving hypotenuse or a/b so i'll do both.

[tex]\boxed{\underline{Hypotenuse...}}\\\\\\A^2+B^2=C^2\\6^2+9^2=C^2\;\\36+81=117[/tex]

[tex]\sqrt{117}=10.816\\Round-\;10.8[/tex]

[tex]\boxed{\underline{a/b...}}\\\\\\A^2=C^2-B^2\\A^2=9^2-6^2\\A^2=81-36\\A^2=45\\\sqrt{45}= 6.708\\Round-\;6.7[/tex]

Hope it helps!