If g(x)= square root of x and h(x)=x^3-1,
what is g(h(4))?
a. square root of 11
b. square root of 63
c. 5
d. 7

Answer:

1.75a+8b

Step-by-step explanation:

Question = 0.75a + 10b + a - 2b

First collect like terms 0.75a + a + 10b - 2b

= 1.75a + 8b

what are like terms : they are terms with the same variable and the same exponent. example: 9xy and -6xy etc.......

If it's helpful ❤❤❤

THANK YOU

Answer:

B

Step-by-step explanation:

AC is the radius of the circle. BC has the same length as AC.

A 90 degree angle is formed at A, similarly ay B.

A quadrilateral is then formed.

The sum of angles in a quadrilateral is 360 degrees

We have:

A + B + C + D = 360

90 + 90 + C + D = 360

C + D = 360 - 180

C + D = 180

Hence the proof

Answer:

its B

Step-by-step explanation:

I took the test

Answer:

6.oz and all other things are going on

Step-by-step explanation:

its been a few weeks and I've just got back to

Answer:

Step-by-step explanation:

Since x-8 is a factor, this means that f(x)/(x-8) should return the quadratic factor.

I can't really show you the long division here, but just know that this gives you a quotient of x^2 - x + 6.

This means that f(x)=(x-8)(x^2 - x + 6)=(x-8)(x-3)(x+2).

Setting each of these factors equal to 0, we get the roots to be 8, 3, and -2.

Answer:

12 mph & 4 mph

Step-by-step explanation:

Let s and s - 8 be the speed of Caitlin going on her friend and her speed on her way home respectively.

Distance = Speed × Time

Distance/Speed = Time

9/s + 9/(s - 8) = 3

9(s - 8) + 9s = 3s(s - 8)

9s - 72 + 9s = 3s² - 24s

3s² - 42s + 72 = 0

s² - 14s + 24 = 0

(s - 2)(s - 12) = 0

s - 2 = 0

s = 2

s - 12 = 0

s = 12

If s = 2, then s - 8 = - 6 < 0. We want s and s - 8 to be positive so s = 12 mph. It follows that her speed on her way home is 4 mph.

Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76

Distributive because he changed the fractions to the way it would go.

The number of students who just passed and didn't get any division is  195.

We can start by finding the number of students who got first or second division:

Next, we can find the total number of students who got a division:

Total number of students who got a division = Number of students who got first division + Number of students who got second division

= 125 + 175 = 300

Now, we can find the number of students who failed:

Number of students who failed = 5

Finally, we can subtract the number of students who got a division and the number of students who failed from the total number of students to find the number of students who just passed and didn't get any division:

Number of students who just passed and didn't get any division = Total number of students - Number of students who got a division - Number of students who failed

= 500 - 300 - 5

= 195

Therefore, the number of students who just passed and didn't get any division is 195.

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Answer:

Slope is 1/5
y intercept is (0,0)

A: She used 4 stickers for one card

B: She can make 15 cards if she has 60 stickers.

C: For 100 cards, she needs 400 stickers

D: She can make 6 cards with 24 stickers

E: To make 17 cards, she needs 68 stickers.

Also something cool, it simplifies to 1/4 (All of them) which is cool

I hope this helps you. :)

Answer:

a. She used 4 stickers for one card.

b. She can make 15 cards if she has 60 stickers.

c. For 100 cards, she needs 400 stickers.

d. She can make 6 cards with 24 stickers

e. To make 17 cards, she needs 68 stickers.

Step-by-step explanation:

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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Answer:

The value is  \(P( X > 80 ) = 0.58901\)

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  24

    The mean is  \(\mu = 82\)  

    The standard deviation is  \(\sigma = 8.9\)

Generally the  probability that a randomly chosen student earned a B or higher on the test (score of 80 or higher )  is mathematically represented as

         \(P( X > 80 ) = P( \frac{ X - \mu }{\sigma } > \frac{ 80 - 82 }{ 8.9 } )\)

\(\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )\)

 =>  \(P( X > 80 ) = P(Z > -0.225 )\)

From the z table  the area under the normal curve to the right  corresponding to    -0.225  is  

     \(P(Z > -0.225 ) = 0.58901\)

=>   \(P( X > 80 ) = 0.58901\)

The graph for y = 3x + 1 is given below

Two number lines combine to form a two-dimensional surface known as a coordinate plane. It is created when the origin, a point where the X- and Y-axes coincide, is crossed by a horizontal line. Points are located using the numbers on a coordinate grid. You can graph points, lines, and many other things using a coordinate plane. It serves as a map and provides clear directions between two points.

Y = 3 x -3+4

y = 3x +1

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TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

To represent the given problem as a system of equations, we can use the following information:

John is 70 years younger than Sharon: j = s - 70

Sharon is 4 times as old as John: s = 4j

Let's plot the graph for this system of equations:

First, let's solve equation (2) for s:

s = 4j

Now substitute this value of s in equation (1):

j = s - 70

j = 4j - 70

3j = 70

j = 70/3

Substitute the value of j back into equation (2) to find s:

s = 4j

s = 4(70/3)

s = 280/3

The solution to the system of equations is j = 70/3 and s = 280/3

In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.

Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

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(a) After 25 years 47.37g of the initial sample left in the sample. (b) 12.83 years takes  the initial sample to decay half of its original amount.

Given:

\(A(t) = 200 e^{-0.054t}\)

Substituting 25 for t in the expression, we get:

A(25) = 200e⁰.⁰⁵⁴ × 25

         = 47.37 g

Thus, after 25 years, there will be 47.37g of the initial sample left in the sample.

(b.) 12.83 years takes the initial sample to decay half of its original amount.

We want to find t such that

\(A(t) = 200e^{0.054} \times t\)

where, t = 100.

Solving for t, we get:

\(200e^{0.054} \times t = 100\)

Dividing both sides by 200 and applying the natural logarithm to both sides, we get:

0.054 × t = ln(0.5)

Therefore,

\(t = \frac{\ln(0.5)}{0.054}\)

  = 12.83 years.

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Answer: The number of different committees can be  formed = 55.

Step-by-step explanation:

Given: Number of members in a committee = 2

There are five men and six women  available to serve on the committee.

That means, Total persons available to serve on the committee = 5+6=11

Number of combinations of choosing r things from n things is given by:-

\(^nC_r=\dfrac{n!}{r!(n-r)!}\)

So, the number of ways to choose 2 members out of 11 = \(^{11}C_2=\dfrac{11!}{2!9!}\)

\(=\dfrac{11\times10}{2}=55\)

Hence, the number of different committees can be  formed = 55

Answer:

19

Step-by-step explanation:

The value of total of the debit side of the unadjusted trial balance is,

⇒ $24,350

We have to given that;

Consider the following information from a company's unadjusted trial balance at December 31, 2020.

Hence, We get;

The computation of the total of debit side is shown below;

= Accounts Receivable + Cash +  Equipment + Insurance Expense + Land + Notes Receivable + Prepaid Insurance + Rent Expense + Salaries and Wages Expense

= 5100 + 680 + 1760 + 6280 + 4600 + 5500 + 430

= $24350

Thus, The value of total of the debit side of the unadjusted trial balance is,

⇒ $24,350

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Answer:

2.4 × 10^-2

Step-by-step explanation:

You can do a sort of "undistributive" property and factor out the 10^-2 and then add the 1.2+1.2

1.2×10^-2 + 1.2×10^-2

= 10^-2(1.2 + 1.2)

= 10^-2(2.4)

= 2.4 × 10^-2

OR you can change from scientific notation to standard and add them and change back to sci. not. See image.

Answer:

The counter in the drawing is 8 in. wide.

Step-by-step explanation:

Answer:

1958

Step-by-step explanation:

They have different y-intercepts but the same end behavior. Thus, option A is correct.

A step functiοn is  mathematical functiοn that takes οn finite number οf cοnstant values οver intervals οf its dοmain. It is alsο knοwn as staircase functiοn οr  piecewise cοnstant functiοn. The cοnstant values that  functiοn takes οn are οften referred tο as  "steps" οf the functiοn.

Tο graph the step functiοn, yοu wοuld start by drawing a cοοrdinate plane with the hοrizοntal axis ranging frοm -5 tο 5 and the vertical axis ranging frοm -2 tο 2. Then, yοu wοuld plοt the pοints (-5,-1), (-4,-1), (-3,0), (-2,1), (-1,1), (0,0), (1,1), (2,-1), (3,-1), (4,0), and (5,1) οn the graph.

They have different y-intercepts but the same end behavior.

They have different y-intercepts because function f(x) is 4, while the y-intercept on graph is 6

But they have the same end behavior at 2.

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Complete question:

Function g is represented by the equation.

\(\rm g(x) = 4 (\frac14)^x + 2\)

Which statement correctly compares the two functions?

A. they have different Y-intercepts but the same end behavior

B. they have the same Y-intercept and the same end behavior

C. they have the same Y-intercept but different end behavior

D. they have different Y-intercepts and different end behavior

Answer:

A

Step-by-step explanation:

The mean is 3, the median is 3, and the mode is 5, and there is no gap in the data.

Answer:

3√3v/3x V

Step-by-step explanation:

d/dt[32/3π, sin (tim), 3√3v/3x, V]

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer: 4.330747

Step-by-step explanation: Hoped this helped:))

Answer:

4.330747

Step-by-step explanation:

The required population of Algeland 16 years from now will be approximately 524937236.

In essence, percentages are fractions with a 100 as the remainder. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on an examination (75/100).

To find the population of Algeland after 16 years, we can use the formula:

\($P = P_0 \times (1 + r)^n$\)

where P is the population after 16 years, \($P_0$\)is the initial population, r is the annual growth rate, and n is the number of years.

Given that the population of Algeland increases by 33% each year, we can express the annual growth rater as:

\($r = 33% = 0.33$\)% = 0.33

We are also given that the current population \($P_0$\) is 5,476,223.

Thus, the population of Algeland after 16 years can be calculated as:

\($P = 5,476,223 \times (1 + 0.33)^{16}$\)

Simplifying this expression, we get:

P = 524937236

Therefore, the population of Algeland 16 years from now will be approximately 524937236.

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