The volume of a rectangular prism is given by the formula V= /wh, where / is the length of the prism, w is the width, and h is the height. Which expression represents the volume of the following rectangular prism? =x+2 h=2x+9 w = 3x 27​

Answer:

First one

Step-by-step explanation:

If you mean 2 to the sixth power, then it's for sure the first one.

Answer:

2^6

Step-by-step explanation:

The logarithmic identity log a + log b = log (ab) on the right-hand side, we get:

log(30/14) = log(225/196)

The equation log(x+15) = logx + log15, we can use the logarithmic identity that states log a + log b = log (ab).

The right-hand side of the equation, we get:

log(x+15) = log(15x)

The one-to-one property of logarithms, states that if log a = log b, then a = b.

we have:

x + 15 = 15x

Simplifying this equation, we can subtract x from both sides and add 15 to both sides to get:

15 = 14x

Finally, we can divide both sides by 14 to get:

x = 15/14

The solution to the equation log(x+15) = logx + log15 is x = 15/14.

We should check this solution by plugging it back into the original equation to make sure that both sides of the equation are equal:

log(15/14 + 15) = log(15/14) + log(15)

Simplifying the left-hand side, we get:

log(30/14) = log(15/14) + log(15)

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Answer:

30248

Step-by-step explanation:

7/3=2.3

70580/2.3= about 30248

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Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

The general solution to the differential equation. If initial conditions are given, we can solve for the constants C1 and C2.

The given differential equation is:

y ln x * (dx/dy) = [(y+1)/x]^2

We can solve this equation by separation of variables, which means we can rearrange the equation so that all the x terms are on one side and all the y terms are on the other side. Then, we can integrate both sides with respect to their respective variables.

First, we rewrite the equation in a form suitable for separation of variables:

y ln x dx = [(y+1)/x]^2 dy

Next, we separate the variables and integrate both sides:

∫y ln x dx = ∫[(y+1)/x]^2 dy

Integrating the left-hand side by parts, we have:

u = ln x dv = y dx

du/dx = 1/x v = (1/2) y^2

∫y ln x dx = (1/2) y^2 ln x - ∫(1/2) y dx

= (1/2) y^2 ln x - (1/4) y^2 + C1

where C1 is the constant of integration.

Integrating the right-hand side, we use the substitution u = y+1:

u = y+1 du = dy

∫[(y+1)/x]^2 dy = ∫(u/x)^2 du

= (1/x^2) ∫u^2 du

= (1/3x^2) u^3 + C2

where C2 is the constant of integration.

Substituting this back into the original equation, we have:

(1/2) y^2 ln x - (1/4) y^2 + C1 = (1/3x^2) (y+1)^3 + C2

This is the general solution to the differential equation. If initial conditions are given, we can solve for the constants C1 and C2.

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Answer:

Option (1)

Step-by-step explanation:

\(\text{log}_4(x + 3)=\text{log}_2(2 + x)\)

\(\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}\)

\(\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}\)

System of equations can be written as,

\(y_1=\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}\)

\(y_2=\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}\)

Therefore, system of equations given in Option (1) is the correct option.

Answer:

Option (A)

Step-by-step explanation:

Good Luck on your test

Answer:

x°=113°

y°=67°

z°=49°

Step-by-step explanation:

Looking at the right triangle exclusively, we know that it must have 180° in total.

Set up an equation that represents this:

28°+39°+x°=180°

Simplify:

67°+x°=180°

Solve:

x°=113°

Now, we also know that x°+y°=180°, because they form a line. Now that we know the value of x°, plug it in to this equation:

113°+y°=180

Solve:

y°=67°

Finally, apply the same logic with the first triangle with the other triangle:

64°+67°+z°=180°

Simplify:

131°+z°=180°

Solve:

z°=49°

Answer:

1

Step-by-step explanation:

15/15=1

Answer:

c=1875/15

Explanation:

The equation to find the cost of each monitor is given as:

To write a division equation that can be used to find the cost of each computer monitor, we divide each side of the equation by 15.

Answer:

\(6^{8}\) = 1679616 nickels

Step-by-step explanation:

Since it wants the value of the 8th bracelet, you have to keep multiplying the value 8 times. A simpler way to put this is 6 to the 8th power. Simplifying this will give you 1679616 nickels.

Answer: 16796,16

Step-by-step explanation:

your are welcome i guess. you will have to keep multiple to get the number 6*6 =36 *2 =72  *36=2592*3=7776*216=1679616 is your answer. and the 8th bracelet will the number i have.

Answer:

y=3x+3

Step-by-step explanation:

So generally you'll have a linear equation in the form of slope-intercept which looks like: y=mx+b, where m is the slope, and b is the y-intercept. the y-intercept, is the value of y, when x=0, which is going to be the constant b, because mx will be 0, because m * 0 = 0. m is the slope because as x increases by 1, the y-value increases by m, which in definition is the slope, how much a function increases as x increases by 1. So if you look at the table when x goes from -1 to 0, the y value goes from 0 to 3 or an increase in 3, and the same happens when x goes from 0 to 1. So the slope is 3, and the y-intercept as mentioned before is the value of y when x=0, which in this case is 3, which can be determined by looking at the table (look at y when x=0, it's 3). So this gives you the formula y=3x+3

Answer:

x = 16

Step-by-step explanation:

(5x + 12)° + (6x - 8)° = 180°

(5x + 12 + 6x - 8)° = 180°

(11x + 4)° = 180°

11x + 4 = 180

11x = 180- 4

11x = 176

x = 176/11

x = 16

Answer:

To interpret a graph or chart, read the title, look at the key, read the labels such as the x and y coordinates. Find the relationship between the x and y coordinates. For example, how much does y change because of the change in x?

Step-by-step explanation:

actual cost is 950+23,500=24450

he sold them for 25000 so his profit is 25000-950-23500=550

Answer:

A cycle + A scooter

= 950 + 23,500

= 24,450

Profit = Sold - cost

= 25,000 - 24,450

= 550

So the profit is $550

We have 3 triangles that are related in the image

We will use the sine relations to determine the value of x

For triangle ABD

For triangle ABC

For triangle ACD

Now solving the system of equations we have

The answer would be x = 4 units

Answer:

5 years

Step-by-step explanation:

Question: "Which of the following assessment types has the greatest effect on your overall grade?"

Answer: "Out of all the assessment types, 'tests' have the greatest effect on your overall grade as a student. Hence, Option D would be the best choice."

The  assessment types has the greatest effect on your overall grade is test.

The following information should be considered;

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Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)

The value of r in equation R+7 = -6+5r+8-3r is -5/3.

A formula declares that two things are equal. The equals sign "=" will be present. According to that formula, the left (x + 2) is equal to the right (6)

The statement "this equals that" is analogous to an equation.

A variable is a symbol used to represent an unknown number. Typically, a letter like x or y is used.

A Constant is a number that exists by itself.

When multiplying a variable, a coefficient is used (4x means 4 times x, so 4 is a coefficient)

In reality, variables have a coefficient of 1 when there isn't a number next to them (x is really 1x)

Given the problem R+7=-6+5r+8-3r

R+7=-6+5r+8-3r

R+5r-3r = -6+8-7

R + 2R = −5

3r =  −5

r = -5/3

Thus, The value of r in equation R+7 = -6+5r+8-3r is -5/3.

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Answer:  B. H(t) = -6.9(t - 2.3)² + 112

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k

where (h, k) is the vertex   ⇒    k is the maximum height

the distance traveled is when y = 0     ⇒    \(x=\sqrt{\dfrac{-k}{a}}+h\)

Given: H(t) = -7.1(t - 2.3)² + 98

maximum height (k) = 98 feet

distance traveled (x) = \(\sqrt{\dfrac{-98}{-7.1}}+2.3\)    = 6.02 seconds

A) H(t) = -7.5(t - 2.2)² + 112

maximum height (k) = 112 feet

distance traveled (x) = \(\sqrt{\dfrac{-112}{-7.5}}+2.2\)    = 6.06 seconds

B) H(t) = -6.9(t - 2.3)² + 112

maximum height (k) = 112 feet

distance traveled (x) = \(\sqrt{\dfrac{-112}{-6.9}}+2.3\)    = 6.33 seconds

C) H(t) = -6.9(t - 2.4)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

D) H(t) = -7.5(t - 2.3)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.

Based on the given problem of -7x⁴ = 36, the solution to the equation is x = -1.5.

The equation to find x is given as:

-7x⁴ = 36

Solving it gives:

-7x⁴ = 36

x⁴ = 36/-7

x⁴ = -36/7

x = ⁴√(-36/7)

x = -1.5

In conclusion, x is -1.5.

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Answer: -7 x 4= -36

Step-by-step explanation:

The airline fees was $41 each

The over the weight limit of the bag is 3 pounds

Number pounds of Natalie's bag = x

Airline 1:

29 + 4x

Airline 2:

23 + 6x

Equate airlines 1 and 2

29 + 4x = 23 + 6x

collect like terms

29 - 23 = 6x - 4x

6 = 2x

divide both sides by 2

x = 6/2

x = 3 pounds

Hence,

Airline 1:

29 + 4x

= 29 + 4(3)

= 29 + 12

= $41

Airline 2:

23 + 6x

= 23 + 6(3)

= 23 + 18

= $41

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Answer:

191,250

Step-by-step explanation:

Y=750(255)

After solving the following problems related to index notation we get;

a) The expanded form of bia is 2bijaj.

b) By using Kronecker delta expression becomes,

oijbia = 2bijaj

c) As bij are constants then \((bij )\times kbik\) is a scalar.

a) To expand and simplify the expression bia, we can use the summation convention, which implies that we sum over repeated indices. Thus, we have:

bia = bijaj

Since bj = -bji for i ≠ j, we can split the sum into two parts:

bia = bijaj + bijaj

bia  = 2bijaj

b) To simplify the expression using the Kronecker delta,

we can use the property:

oijaj = ai

Therefore, we have:

oijbia = bijoijaj = bijaj

Using the result from part a), we obtain:

oijbia = 2bijaj

c) To show that (bijx)kbik is a scalar, we can use the property of the summation convention that allows us to move indices around freely. Thus, we can rewrite the expression as:

\((bij\times )kbik = bijk\times kbik\)

Since the indices k and i are repeated, we can sum over them:

\(bijk\times kbik = bijk\times kbi\)

Using the property bji = -bij, we can swap the indices i and j:

\(bijk\times kbi = -bijk\times kbj\)

Again, we can sum over the repeated indices:

\(-bijk\times kbj = -bij\times kbi\)

Finally, using the property bii = ∑j bij, we obtain:

\(-bij\times kbi = -bii \times ki = -b \times ki\)

Therefore, we have shown that\((bij )\times kbik\) is a scalar given that bij are constants.

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a. The alternative hypothesis (H1) specifies that is greater than 26, indicating a directed alternative, this is a one-tailed test.

b. The alternative hypothesis is one-sided and argues that > 26, hence the critical value is 1.645.

c. The value of the test statistic (z-score) is z ≈ 3.82.

d. We reject the null hypothesis (H0) because the test statistic (z = 3.82) is higher than the crucial value (1.645).

In this case, the p-value is the probability of observing a sample mean of 28 or greater, assuming the population mean is 26.

a. This is a one-tailed test because the alternative hypothesis (H1) states that μ is greater than 26, indicating a directional alternative.

b. The decision rule for a one-tailed test at a significance level of 0.05 is to reject the null hypothesis (H0) if the test statistic is greater than the critical value. In this case, the critical value is 1.645 because the alternative hypothesis is one-sided and states that μ > 26.

c. The value of the test statistic (z-score) can be calculated using the formula:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case:

x = 28

μ = 26

σ = 4

n = 34

Substituting the values into the formula:

z = (28 - 26) / (4 / √34) ≈ 3.82

d. Since the test statistic (z = 3.82) is greater than the critical value (1.645), we reject the null hypothesis (H0).

e-1. To calculate the p-value, we need to find the area under the standard normal distribution curve to the right of the test statistic (z = 3.82). We can use a standard normal distribution table or a calculator to find this area.

The p-value is the probability of observing a test statistic as extreme as the one calculated (or more extreme) under the null hypothesis.

e-2. Interpreting the p-value: The p-value represents the probability of obtaining a sample mean as extreme as the one observed (or more extreme) if the null hypothesis is true.

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Answer:

Fly is any of a large number of insects characterized by the use of only one pair of wings for flight and the reduction of the second pair of wings used for balance. The term fly is commonly used for almost any small flying insect

Step-by-step explanation

i just searched it up