Figure A ~ Figure B
Figure A
Figure B
R = 5 ft
R = 2 ft
V = 88 cu ft
Find the volume of Figure A.

Determine 20% of the initial level

20% → 0.2

Write the equation with half-life of 12 hours and initial dose of 25 mg.

Substitute y = 5, and solve for t

Get the natural logarithm of both sides

Rounding the answer to the nearest whole number, the time it takes for the initial dose to be reach 20% of its initial level is 28 hours.

Answer: 0.0622009569378

Step-by-step explanation:

Answer:

B, C, and D

Step-by-step explanation:

A is false, and the other 3 are true

The system of equations has infinite solutions, actually, any pair (x, y) is a solution.

To solve a system by elimination, we just need to add/subtract the equations in such a way that we can remove one of the variables.

Here the system of equations is:

-2x-3y = -9

-2x-3y = -9

If we subtract the two equations we will get:

(-2x-3y) - (-2x-3y) = -9 - (-9)

0 = 0

This is a trivial equation, that happens because both equations of the system are the same one.

So the system is true for all real values of x and y.

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The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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Answer:

There isn't anything shown. Perimeter is all sides added up. Hope that helps.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

A horizontal line is given by an equation of the form Y = b

Notice that in both points the Y coordinate is the same no matter what value you choose for x

Y = -5

Answer:

6

Step-by-step explanation:

6 times 5 is 30. You would've divided 30 by 5

Answer:

B)Gift shop

pls mark me as BRAINLIEST

hope the answer helped you

Answer:

5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47 from My text book

Step-by-step explanation:

The radius and diameter for the given figure are.

What is diameter?

In pure mathematics, a diameter of a circle is any line phase that passes through the middle of the circle and whose endpoints lie on the circle. It can even be outlined because the longest chord of the circle.

Main body:

A) as radius given = 3yd

so diameter = 2r

diameter = 2*3

                = 6 yd

B) diameter given = 92 in

as d = 2r

92 = 2r

r = 46 in

C) as radius given = 23 ft

so diameter = 2r

diameter = 2*23

               = 46 ft

Hence the values are as follows.]

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Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

Step-by-step explanation:

If cos(θ) = 3/23 and θ is in Quadrant I, we can use the Pythagorean identity to find sin(θ):

sin^2(θ) + cos^2(θ) = 1

sin^2(θ) + (3/23)^2 = 1

sin^2(θ) = 1 - (3/23)^2

sin^2(θ) = 1 - 9/529

sin^2(θ) = 520/529

sin(θ) = √(520/529)

sin(θ) = (sqrt(520))/23

Now we can use the definition of tangent to find tan(2θ):

tan(2θ) = (2tan(θ))/(1-tan^2(θ))

We know that tan(θ) = sin(θ)/cos(θ), so:

tan(θ) = (sqrt(520))/69

tan^2(θ) = 520/4761

tan(2θ) = (2*(sqrt(520))/69)/(1 - (520/4761))

tan(2θ) = (2*(sqrt(520))/69)/(3641/4761)

tan(2θ) = (2*(sqrt(520))/69)*(4761/3641)

tan(2θ) = (9522/3641)*(sqrt(520))/69

tan(2θ) = (9522*sqrt(520))/(3641*69)

tan(2θ) = (168*sqrt(130))/529

Therefore, the exact value of tan(2θ) in simplest radical form is (168*sqrt(130))/529.

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

The number of square meters that the space that Araceli rents is, is 30. 66 square meters.

The space that Araceli rents has a rectangular space so to find the area of the rectangular space that Araceli rents, we need to multiply the length by the width.

The given width is 4. 2 meters and the length is 7. 3 meters.

The area of the space in square meters is therefore :

Area = Length × Width

Area = 7. 3 meters × 4. 2 meters

Area = 30. 66 square meters

In conclusion, the space that Araceli rents has an area of 30. 66 square meters.

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Answer:

Step-by-step explanation:

Rounded to the underlined digit, 84.59 becomes 84.6.

Rounding a number means approximating it to a specified place value. In this case, we are rounding 84.59 to the nearest tenth, which is the first digit to the right of the decimal point.

1. Identify the Digit:

Underline the digit in the tenth's place, which is 5 in 84.59.

2. Look at the Next Digit:

The digit immediately to the right of 5 is 9. Since 9 is greater than or equal to 5, we round up the underlined digit.

3. Adjust the Digit: Add 1 to the underlined digit, which becomes

6 (5 + 1 = 6).

4. Replace Other Digits: Keep all the digits to the left of the underlined digit unchanged. Therefore, the 84 remains the same.

5. Final Result: The rounded number is 84.6.

So, when rounding 84.59 to the nearest tenth, we get 84.6. Rounding helps make numbers easier to work with when precision beyond a certain point is not necessary.

Remember that when the digit to the right of the one you're rounding to is 5 or greater, you round up, and when it's less than 5, you round down.

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The complete order of the inverse function of the function f(x) = x + 5 is:

1. y = x + 5

2. x = y + 5

3. x - 5 = y

4. y = x - 5

The function is given as:

f(x) = x + 5

The opposite of the function f(x) = x + 5 is the inverse of the function.

So, we have:

f(x) = x + 5

Express f(x) as y

y = x + 5

Swap the positions of x and y

x = y + 5

Make x the subject of the formula

x - 5 = y

Rewrite as:

y = x - 5

Hence, the inverse function of the function f(x) = x + 5 is y = x - 5

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Answer:

Hi,  the correct answer is A) m∠2 = 60°.

let me put it in this way.

Step-by-step explanation:

Since parallel lines M and N are cut by transversals A B and B C, corresponding angles are formed. Corresponding angles are pairs of angles that are formed by intersecting lines and are on opposite sides of the transversal. In this case, angles 2 and C are corresponding angles, as are angles 3 and A.

We know that angles 2 and C form a straight angle along line M, and angles C and 60 degrees form a straight angle along line N. Since corresponding angles are congruent (have the same measure), this means that angle 2 must have the same measure as the 60-degree angle

Answer:

x = 49

Step-by-step explanation:

Since the line is parallel, the value of 2x - 8 is equal to 90.

=> 2x - 8 = 90

=> 2x = 98

=> x = 49

Answer:

x = 49

Step-by-step explanation:

2x - 8 and the right angle are corresponding angles and are congruent , then

2x - 8 = 90 ( add 8 to both sides )

2x = 98 ( divide both sides by 2 )

x = 49

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360

Answer:

-116/37

Step-by-step explanation:

Answer:

z = -3.1

Step-by-step explanation:

just divide both sides by -3.7, you get z = -3.135

There is just one solution to this system. The answer is (460/7), (-13/7), and (-24/7). The correct answer is option A.

Given the system of equations as X+ y- z=63x- y+ z=2x- 4y+ 2z-34.We have to use row operations to solve this system of equations. Let us start by writing down the augmented matrix of the given system of equations.  [1, 1, -1 | 6][3, -1, 1 | 2][1, -4, 2 | -34]

The first step is to change the first element of the second row to zero. For that, we subtract three times the first row from the second row to get the following:  [1, 1, -1 | 6][0, -4, 4 | -16][1, -4, 2 | -34]

Now, we need to change the first element of the third row to zero. For that, we subtract the first row from the third-row to get the following:  [1, 1, -1 | 6][0, -4, 4 | -16][0, -5, 3 | -40]

The next step is to change the second element of the third row to zero. For that, we add 5/4 times the second row to the third row to get the following:  [1, 1, -1 | 6][0, -4, 4 | -16][0, 0, 7 | -24]

Now, we solve the system of equations using back-substitution. We have 7z = -24 ⇒ z = -24/7

Substituting this value of z in the second equation, we get -4y = 4 - z = 4 + 24/7 = 52/7⇒ y = -13/7

Substituting these values of y and z in the first equation, we get x = 63 - y + z = 63 + 13/7 - 24/7 = 460/7Thus, the solution of the given system of equations is (x, y, z) = (460/7, -13/7, -24/7). Therefore, the correct choice is A. This system has exactly one solution. The solution is (460/7, -13/7, -24/7).

The given system of equations is solved using row operations. It is found that this system has exactly one solution which is (460/7, -13/7, -24/7). Therefore, the correct choice is A. This system has exactly one solution. The solution is (460/7, -13/7, -24/7).

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Answer:

geothermal

Step-by-step explanation:

energy obtained from heat within the earth-geothermal

Answer:

C. n x 2 = t

Step-by-step explanation:

All of the products are double the input

The sample size that must be selected in order to be 97% confident that the margin of error will not exceed 50 hours is 1.205.48.

Critical value for 97% of confidence interval is 2.17

n = [(z-score × σ)/MOE]²

Where:

MOE= margin of error = 50

z =z-score = 2.17

σ=standard deviation= 800

n=sample size =?

Let plug in  the formula

n = [2.17(800) /50]²

n= [1736/50]²

n = 34.72²

n =1,205.48

Therefore the sample size is 1,205.48.

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Since 3 feet = 1 yard, Colin needs 3 cubes on each edge.  (See picture below.)

In that picture, you'll also see that there are 9 cubes on one layer and there are three layers.  

9x3 = 27

Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.

We're given:

\(\dfrac{3240\hspace{4}feet}{hour}\)

We also know that:

\(\dfrac{hour}{60\hspace{4}minutes}\)

Multiply the two to cancel out the hour:

\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)

Simplify:

\(=\dfrac{54\hspace{4}feet}{minute}\)

\(\dfrac{54\hspace{4}feet}{minute}\)

Here is the full question.

Calculate the mean and the standard deviation of the sampling distribution of possible sample proportions for each combination of sample size (n) and population proportion (p).

a.) n = 64, p = 0.8

b.) n = 256, p = 0.8

Answer:

a.) Mean = 0.8

   Standard deviation = 0.05

b.)  Mean = 0.8

     Standard deviation = 0.025

Step-by-step explanation:

From the given information:

a.)

The population parameter (p) is the mean of the sampling distribution for the sample proportion.

Thus; The  Mean = 0.8

The standard deviation of the  distribution can be calculated as follows:

Let's first represent the standard deviation with Sd(\(\hat p\))

Then:

\(sd(\hat p) = \sqrt{\dfrac{p*(1-p)}{n} }\)

where;

p = 0.8

n = 64

Then:

\(sd(\hat p) = \sqrt{\dfrac{0.8*(1-0.8)}{64} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.8*(0.2)}{64} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.16}{64} }\)

\(sd(\hat p) = \sqrt{0.0025}\)

\(\mathbf{sd(\hat p) =0.05}\)

b.)

The population parameter (p) is the mean of the sampling distribution for the sample proportion.

Thus; The  Mean = 0.8

The standard deviation of the  distribution can be calculated as follows:

Let's first represent the standard deviation with Sd(\(\hat p\))

Then:

\(sd(\hat p) = \sqrt{\dfrac{p*(1-p)}{n} }\)

where;

p = 0.8

n = 256

Then:

\(sd(\hat p) = \sqrt{\dfrac{0.8*(1-0.8)}{256} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.8*(0.2)}{256} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.16}{256} }\)

\(sd(\hat p) = \sqrt{6.25 \times 10^{-4}}\)

\(\mathbf{sd(\hat p) =0.025}\)