Solve the equation
3(4z-7)=-21+12z

Answer:

B, 0.4 in³

Step-by-step explanation:

A cone's volume is determined with the equation 4/3πr²(h/3). In this case, our radius is 0.5 because the diameter is 1, and our height is 3.5 inches. We plug those values into the equation to get approximately 0.92 in³.

Now for a sphere, the volume is determined by 4/3πr². Our diameter is 1, so our radius is 0.5, and pi is 3.14, so plugging that in we get about 0.52

Now we subtract the 2, 0.92 - 0.52 = 0.4

Answer:

yeah

Step-by-step explanation:

post the pic

In conclusion, we cannot apply Rolle's Theorem to the function g on the interval (0,k) for any value of k.

To show that g satisfies the hypotheses of Rolle's Theorem on the interval (0,k), we need to verify that:
1. g is continuous on [0,k]
2. g is differentiable on (0,k)
3. g(0) = g(k)

Since g(x) = (22/3)x - 22, it is a polynomial function, and therefore it is both continuous and differentiable on any interval. So, the first two conditions are satisfied.

Now, we need to find the value of k that satisfies the third condition:
g(0) = g(k)
(22/3)(0) - 22 = (22/3)k - 22
0 = (22/3)k
k = 0

Since k cannot be equal to 0 (because the interval is (0,k)), there is no value of k that satisfies the third condition.

Therefore, g does not satisfy the hypotheses of Rolle's Theorem on the interval (0,k) for any value of k.

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Answer:

hii

Step-by-step explanation:

I don't know what is the answer

Answer:

use formula

Step-by-step explanation:

and solve step by step hope it helpd

Answer: 12 kilograms= 12000 grams

Step-by-step explanation:

multiply the mass value by 1000

Answer:

1 Kg = 1000 grams

hence

12Kg = 12000 grams

Answer:

The correct answer to this question is 2x = 45

Step-by-step explanation:

If you take 5 and multiply it by 9 you get 45. Therefore, 2x = 45 is the correct answer. (Also I know its right because I did the assignment and got this one right) Hope this helps :-)

Answer:11/57

Step-by-step explanation:

The turtle that would most likely win the race is the turtle 7

The turtles are given as:

Turtle = 1 to 13

When two dice are rolled and the sum of the outcomes are taken, the sample space is:

Outcome   Frequency

2                    1

3                    2

4                    3

5                   4

6                   5

7                    6

8                    5

9                    4

10                   3

11                    2

12                    1

The outcome 7 has the highest frequency of 6

This means that the turtle 7 has the highest chance of winning the race

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The magnitude of the correlation coefficient indicate the "strength" about the variables.

In the financial and investing industries, correlation is a statistic which indicates the extent that two securities change in relation to one another.

Correlations are employed in advance portfolio management and are calculated as correlation coefficient, that must be between -1.0 and +1.0.

Some key features regrading correlation are-

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Answer: 99 inches

Step-by-step explanation:

First multiply the whole number by 12 in which you would get 96. Then you would do 1÷4 which equals 0.25 and then multiply by 12 you would get 3. Lastly add them together and you get 99.

Here is the formula: A = ([w • 2] + [{n ÷ d} • ])

The sοlutiοn tο the system οf equatiοns -2x - 2y = -24 and -3x - 2y = -33 is x = -3 and y = 46/30 (οr simplified as y = 23/15).

In mathematics, a set οf simultaneοus equatiοns, alsο knοwn as a system οf equatiοns οr an equatiοn system, is a finite set οf equatiοns fοr which cοmmοn sοlutiοns are sοught.

Tο sοlve the system οf equatiοns -2x - 2y = -24 and -3x - 2y = -33 by cοmbining the equatiοns, we can eliminate οne οf the variables by adding οr subtracting the equatiοns. In this case, we can eliminate y by adding the twο equatiοns. The result is:

(-2x - 2y) + (-3x - 2y) = (-24) + (-33)

Simplifying this equatiοn, we get

-5x - 4y = -57

Nοw, we have a single equatiοn with οne variable, which we can sοlve fοr x.

-5x - 4y = -57

-5x = -57 + 4y

x = (-57 + 4y) / (-5)

We can substitute this expressiοn fοr x intο οne οf the οriginal equatiοns tο sοlve fοr y. Let's use the first equatiοn:

-2x - 2y = -24

-2((-57 + 4y) / (-5)) - 2y = -24

114/5 - 8y/5 - 2y = -24

-18y/5 = -114/5 - 24

-18y/5 = -138/5

y = 138/90

y = 46/30

Nοw we can substitute y = 46/30 intο οur expressiοn fοr x tο find the value οf x:

x = (-57 + 4(46/30)) / (-5)

x = -3

Hence, the sοlutiοn tο the system οf equatiοns -2x - 2y = -24 and -3x - 2y = -33 is x = -3 and y = 46/30 (οr simplified as y = 23/15).

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answer

x=180-87-33

= 60

Answer:

Range: [1, ∞)

Step-by-step explanation:

\(f(x)=2(x+3)^2+1\)

Range: [1, ∞)

Answer:

2 pounds

Step-by-step explanation:

Answer:

(f - g)(x) = x² - 3x - 70

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² - 2x - 63

g(x) = x + 7

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

The required rate of  increasing in volume of a sphere when diameter is 80 mm is equals to 25600π mm^3/s

let 'V' be the volume of the volume of a sphere

'r' be the radius of the sphere.

The formula for the volume of a sphere in terms of its radius,

V = (4/3) × π × r^3

Taking the derivative with respect to time, we get,

dV/dt = 4× π × r^2 × (dr/dt)

where dV/dt is the rate of change of the volume,

dr/dt is the rate of change of the radius,

And π is a constant.

The rate of change of the radius dr/dt is 4 mm/s.

Calculate the rate of change of the volume when the diameter is 80 mm.

Diameter = 2 (radius)

This means the radius is 40 mm.

Substituting the values in the formula above, we get,

⇒dV/dt = 4 × π × (40 mm)^2 ×(4 mm/s)

Simplifying this expression, we get,

⇒ dV/dt = 25600π mm^3/s

Therefore, the volume of the sphere is increasing at a rate of 25600π mm^3/s when the diameter is 80 mm.

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The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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Answer:

142.5 ft^2

Step-by-step explanation:

You need to calculate each figure separately

area of the first rectangle = 5 x 4 = 20

area of the second rectangle = (5+6)x(4) = 44

area of 1/4 circle =  1/4π(10^2) = (1/4) x 3.14 x 100 = 78.5

area of figure: 78.5 + 20 + 44 = 142.5

Answer:

To find the area of this figure, we need to first determine its shape. The lengths given do not form a clear shape, so we need more information to determine the shape.

Assuming that the shape is a trapezoid with the bases of 6ft and 10ft, and a height of 5ft, we can use the formula for the area of a trapezoid:

Area = (b1 + b2) / 2 * h

where b1 and b2 are the lengths of the two parallel bases, and h is the height of the trapezoid.

Plugging in the values, we get:

Area = (6ft + 10ft) / 2 * 5ft

Area = 8ft * 5ft

Area = 40 sq ft

Area ≈ 3.73 sq m (rounded to two decimal places)

Therefore, the area of this figure is approximately 3.73 square meters.

(If it wasn't in decimals, it would be 40 square feet.)

Hopefully this helped! I'm sorry if it's wrong. If you need more help, ask me! :]

Answer:

It intercepts at 1

(1,0)

Step-by-step explanation:

Answer:

The x-intrcept is (1,0)

Step-by-step explanation:

I graphed this equation out and figured where the x intercept is. The x intercept is where the line crosses the x-axis.

Using the inverse function, it is found that the value is of k = 1.

Suppose we have a function y = f(x).

To find the inverse, we exchange the instances of x and y, and then we isolate y.

In this problem, the function is:

\(y = k(4 + 2x)\)

Exchanging x and y, and isolating y:

\(x = k(4 + 2y)\)

\(4k + 2ky = x\)

\(2ky = x - 4k\)

\(y = \frac{x - 4k}{2k}\)

\(f^{-1}(x) = \frac{x - 4k}{2k}\)

f^-1(6)=1, hence:

\(f^{-1}(x) = \frac{x - 4k}{2k}\)

\(1 = \frac{6 - 4k}{2k}\)

\(6 - 4k = 2k\)

\(6k = 6\)

\(k = \frac{6}{6}\)

\(k = 1\)

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The inverse of the given function is  \(f^{-1}(x)=\frac{9x-99}{10}\).

What is the inverse of the function?

In mathematics, an inverse is a function that serves to “undo” another function. That is, if f(x) produces y, then putting y into the inverse of f produces the output x.

The given function is \(f(x) = \frac{10}{9}x+11\)

Let's suppose the inverse of the function is 'y'

Replace x with y, and we get

\(x=\frac{10}{9}y+11\)

\(y=\frac{9x-99}{10}\)

Hence, the inverse of the given function is  \(f^{-1}(x)=\frac{9x-99}{10}\).

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Answer:

A) Replace one equation with the sum/difference of both equations

Step-by-step explanation:

6x-5y=1

+

-2x+2y=-1

=

4x-3y=0

Answer:

Dana crossed the finish line before Mari.

Step-by-step explanation:

\(2.08<2.12<2.21<2.25<2.50\)

Dana<Mari<Clair<Jason<Alex

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Answer: nope u get it

Step-by-step explanation:

The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.

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The correct answer is- we need to add 200 millilitres of 100% detergent to 200 millilitres of 7% detergent to make a 14% detergent solution.

Let the volume of 100% detergent be x millilitres.

Thus, the initial amount of detergent present in the solution is 0.07 × 200 = 14 millilitres.

We need to determine the amount of 100% detergent required to make the solution 14% of detergent.

Thus, the total volume of the new solution is (200 + x) millilitres.

Since the final concentration of the solution is 14%, the amount of detergent in the new solution is 0.14(200 + x).

According to the problem, the amount of detergent added is x millilitres of 100% detergent.

Hence, we can express the amount of detergent in the new solution as follows:14 + x = 0.14(200 + x)

Solving for x, we get x = 200 millilitres.

The amount of 100% detergent required to make the solution 14% of detergent is 200 milliliters.

Therefore, the total volume of the new solution is 200 + 200 = 400 millilitres.

Hence, we need to add 200 millilitres of 100% detergent to 200 millilitres of 7% detergent to make a 14% detergent solution.

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Answer: The data could be used as a starting point for further research and analysis to investigate any potential causal relationships or underlying factors.

Step-by-step explanation:

The scatterplot shows a positive correlation between U.S. divorce rates and prison rates for drug offenses. The fact that the correlation coefficient is 0.67 indicates a moderate positive linear relationship between the two variables.

However, correlation does not necessarily imply causation. While the data suggests that there may be some association between divorce rates and drug-related prison rates, it does not tell us which variable is causing the other, or if there is any causal relationship at all.

There could be other factors that affect both divorce rates and drug-related prison rates, or there could be a third variable that influences both. Therefore, we cannot draw any causal conclusions from this data alone.

However, the data could be used as a starting point for further research and analysis to investigate any potential causal relationships or underlying factors.

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