set equation for the following:

three times a number divided by five is equal to 20

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Answer:

6 cookies

____________________

Christine has 2 MORE than Matt.

2 + 2 = 4(Christine)

4 + 2 = 6(total)

Answer:

m=2/13

Step-by-step explanation:

Given function:

Subtract middle value from both side:

Combine like terms:

Divide both sides by the same term:

Divide the terms:

Therefore, m=2/13.

The requried amount spent on clothing and footwear was 90 billion dollars in the year 2008.

To find the year during which the amount spent on clothing and footwear was maximum, we need to find the vertex of the quadratic function f(x) = -4.36x² + 71.89x + 97.52, since the vertex represents the maximum point of the function.

The x-coordinate of the vertex is given by -b/2a, where a = -4.36 and b = 71.89. Substituting these values, we get:

x = -71.89/(2*(-4.36)) ≈ 8.27

Since x = 0 represents January 1, 2000, the year when the amount spent was maximum is approximately 2008.27. To find the amount spent, we can substitute x = 8.27 into the function:

f(8.27) ≈ 90.3 billion dollars

Therefore, the amount spent on clothing and footwear was approximately 90 billion dollars in the year 2008.

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DATA

Horizontal length = 3 meters

Height = 30 cm = 3/10 meters

Then procedure

Length of ramp in meters = √(Horizontal)^2 + Height^2)

Lenght of ramp = √(3/10)^2 + 3^2

Looking at

The percentage of people who do not like to listen to radio as well as watch the television is 65%.

It is important to note that a percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

From the information, 36% like to listen to radio as well as watch the television.

Therefore, the percentage of the people who do not like to listen to radio as well as watch the television will be:

= 1 - 35%

= 65%

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In a survey of a community. 55% of the people like to listen the radio, 65% like to watch the television and 35% like to listen the radio as well as watch the television

Find the percentage of the people who do not like to listen radio as well as watch the television.

Answer:

Slope = 3

Step-by-step explanation:

The formula to find the slope of a graph using two points is:

m = Δy/Δx

where m is the slope

We can start off by choosing two points on the graph. Two easy ones to pick out would be (6,30) and (1,15). Notice that the 15 and the 30 are y-coordinates and the 6 and the 1 are x-coordinates. To find the slope we will do

m = Δy/Δx = (30-15)/(6-1)

= 15/5

= 3

Thus the slope of this graph is 3

Answer:

10%

Explanation:

You get a savings of $4.15

Answer:

76.2

Step-by-step explanation:

Answer: Jane's height =  \(51\dfrac{1}{20}\text{ inches}\)

Step-by-step explanation:

Given: Lisa's height = \(53\dfrac34\text{ inches}=\dfrac{4\times53+3}{4}\text{ inches}\)

\(=\dfrac{215}{4}\text{ inches}\)

Joey's height = \(\dfrac{215}4-1\dfrac12\) inches

\(=\dfrac{215}4-\dfrac32\\\\=\dfrac{215-6}{4}\\\\=\dfrac{209}{4}\text{ inches}\)

Jane's height = \(\dfrac{209}{4}-1\dfrac15\) inches

\(=\dfrac{209}{4}-\dfrac{6}{5}\\\\=\dfrac{209\times5-6\times4}{20}\\\\=\dfrac{1045-24}{20}\\\\=\dfrac{1021}{20}\\\\=51\dfrac{1}{20}\text{ inches}\)

Hence, Jane's height = \(51\dfrac{1}{20}\text{ inches}\)

The scenarios not accounted for or measured inaccurately by either the income or the expenditure methods of calculating GDP for the United States are A. The costs of air and water pollution and D. The import and sale of illegal drugs from South America.

GDP, while a reasonably good measure of a nation's output, has limitations in capturing certain aspects of economic activity. First, the costs of air and water pollution are not directly included in GDP calculations. Although environmental damage affects the well-being and productivity of a nation, it is not accounted for as a separate component within GDP.

Second, the import and sale of illegal drugs from South America are considered underground economic activities that occur outside the legal framework. Since these transactions are often unreported or hidden, they are not included in GDP calculations.

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Answer:

Your answer......

FACTOR: (7a-8y^2)(3-xy)

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Answer:

(7ay-8y^2)(3-xy)

Step-by-step explanation:

Its the correct answer

Answer:

No, ice cream cannot fits inside the cone.

Step-by-step explanation:

radius of cone, r = 3 cm

height of cone, h = 10 cm

radius of ice cream sphere, R = 33.5 cm

The volume of the cone is

\(V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc\)

Volume of ice cream

\(V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc\)

As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.

Simplifying 4ba^4 * ba^2 is 4b^2 * a^6

To simplify the expression 4ba^4 * ba^2,

By using the distributive property and simplifying each term.

First, we simplify 4ba^4:

4ba^4 = 4 * b * a^4

Next, we simplify ba^2:

ba^2 = b * a^2

By using the distributive property and simplifying the entire expression:

4ba^4 * ba^2 = 4 * b * a^4 * b * a^2

By simplifying further:

4 * b * a^4 * b * a^2 = 4b^2 * a^4 * a^2

Using the exponent rules, we can simplify further:

4b^2 * a^4 * a^2 = 4b^2 * a^6

Thus, the simplified expression is: 4b^2 * a^6

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Answer:

210.00 divided by 4 = 52.5      then you would subtract 210 by 52.5 and you would get 157.5.

Step-by-step explanation:

Answer:

NO children. Because too many kids could make me stressed out. and I dont wanna be stressed out. I may be able to handle 1 or 2 kids but 12? nah imma be stressed and may think suici.d.e thoughts.

Step-by-step explanation:

Answer:

never be able to have children at all

Step-by-step explanation:

Answer:

$405

Step-by-step explanation:

3.75-1.50=2.25

2.25 x 600 = 1350

30 % of 1350 is 405 so it would equal $405

Answer:

Commutative property

Step-by-step explanation:

The given expression is an example of the commutative property.  Option C is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
(-2) + 7 = 7 + (-2), i

As we can see, before the equal -2 is the first term and across the equal -2 become the second term, But across the equal sign the values perform the same property, this property is said to be cumulative property.

Thus, the given expression is an example of the commutative property.  Option C is correct.

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The VSWR on the 50 Ω line is 2.68.

(a) To calculate the reflection coefficient at the input of the line, we can use the equation:

Γin = (ΓL + e^(j2βL))/(1 + ΓL*e^(j2βL))

where Γin is the reflection coefficient at the input of the line, ΓL is the reflection coefficient of the load, β is the propagation constant of the line, L is the electrical length of the line in radians, and j is the imaginary unit.

In this case, ΓL = 0.5, β = 2π/λ (where λ is the wavelength of the signal on the line), L = 45° = π/4 radians, and the line has a characteristic impedance of 50 Ω.

To find the wavelength, we can use the equation:

λ = v/f

where v is the speed of light and f is the frequency of the signal. Assuming a frequency of 1 GHz, we get:

λ = 3e8 m/s / 1e9 Hz = 0.3 m

So, β = 2π/λ = 20.94 rad/m.

Substituting these values into the equation for Γin, we get:

Γin = (0.5 + e^(j220.94π/4))/(1 + 0.5e^(j220.94*π/4))

Using Euler's formula (e^(jθ) = cos(θ) + j*sin(θ)), we can simplify this expression:

Γin = (0.5 + j0.5)/(1 + 0.5*j)

Multiplying the numerator and denominator by the complex conjugate of the denominator, we get:

Γin = (0.5 + j0.5)(1 - 0.5j)/(1 + 0.25) = (0.75 + j0.25)/1.25

So, the reflection coefficient calculated at the input of the line is:

Γin = 0.6 + j0.2

(b) To calculate the VSWR on the 50 Ω line, we can use the formula:

VSWR = (1 + |Γin|)/(1 - |Γin|)

where |Γin| is the magnitude of the reflection coefficient at the input of the line.

In this case, we calculated that Γin = 0.6 + j0.2. The magnitude of this complex number is:

|Γin| = sqrt(0.6^2 + 0.2^2) = 0.632

So, the VSWR on the 50 Ω line is:

VSWR = (1 + 0.632)/(1 - 0.632) = 2.68

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Answer:

x^2 + 8x + 16

Step-by-step explanation:

Given length of square x + 4.

Area of square with side S is given by \(S^2\).

Therefore are of square with side x + 4 is given by \((x + 4)^2\)

Area of square = \((x + 4)^2\\=>(x + 4)*(x + 4)\\=> x(x + 4) + 4(x + 4)\\=> x^2 + 4x + 4x + 4*4\\=> x^2 + 8x + 16\)

Thus, x2 + 8x + 16 expression represents the area of a fabric square.

Answer:

21

Step-by-step explanation:

Answer:

350/10 = 35

Step-by-step explanation:

I just multiple all the numbers then simply

hopefully this is the answer

The mean of the sample means (H) is 20 and the standard deviation of the sample means (σ) is 1. These values represent the expected values for the means of samples of size 25 drawn from a population with a mean of 20 and a standard deviation of 5.

To find the mean and standard deviation for samples of size n = 25 from a population with a mean μ = 20 and standard deviation σ = 5, we can use the formulas for the sampling distribution.

The mean of the sampling distribution (also known as the expected value or the population mean of sample means) is denoted as μx and is equal to the population mean, which is μ = 20 in this case. Therefore, H (the mean of the sample means) is 20.

The standard deviation of the sampling distribution (also known as the standard error) is denoted as σx and is equal to the population standard deviation divided by the square root of the sample size. In this case, the population standard deviation σ is 5, and the sample size n is 25. Therefore, the standard deviation of the sample means, o (sigma), is calculated as:

σx = σ / √n = 5 / √25 = 5 / 5 = 1

Hence, the mean of the sample means (H) is 20 and the standard deviation of the sample means (σ) is 1. These values represent the expected values for the means of samples of size 25 drawn from a population with a mean of 20 and a standard deviation of 5.

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Answer:

f(x) = 3/5x + 1

Step-by-step explanation:

Change in y

Change in x

4 - 1

5 - 0

3

5

Answer:

Use the Vertical Angles Theorem

Step-by-step explanation:

The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.

Answer:

See below.

Step-by-step explanation:

The singular points of a differential equation are the points where the coefficients of the highest and/or second-highest order derivative are zero.

These singular points usually play a vital role in the analysis of the behavior of solutions around them.

Now, let's solve the given differential equations one by one:

1. The given differential equation is `(t² - t - 30)x'' + (t + 5)x' - (t - 6)x = 0`.

We can write the equation in the form of a polynomial as follows: p(t)x'' + q(t)x' + r(t)x = 0,

`where `p(t) = t² - t - 30`, `q(t) = t + 5`, and `r(t) = -(t - 6)`.

The singular points are the values of `t` that make `p(t) = 0`.We can factorize `p(t)` as follows: `p(t) = (t - 6)(t + 5)`.

Therefore, the singular points are `t = 6` and `t = -5`.

So, the answer is "The singular points are t = 6,-5.

2. The given differential equation is `ln(x – 6) y' + sin(6x)y - ey = 0`.

We can write the equation in the form of a polynomial as follows: `p(x)y' + q(x)y = r(x)`where `p(x) = ln(x - 6)`, `q(x) = sin(6x)`, and `r(x) = e^(y)`.

The singular points are the values of `x` that make `p(x) = 0`.For `ln(x - 6) = 0`, we get `x = 7`.

So, the singular point is `x = 7`.

Therefore, the answer is "The singular points are x = 7."

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At least 67 senators must vote in favor for a bill to pass with a supermajority.

A supermajority is a voting requirement that surpasses a simple majority and sets a higher threshold for passing certain decisions. In the case of the U.S. Senate, which consists of 100 members, a bill must garner the support of at least twice as many senators voting in favor as those voting against in order to pass with a supermajority. Therefore, to achieve a supermajority, a minimum of 67 senators must vote in favor of the bill.

The purpose of a supermajority requirement is to ensure that significant decisions have substantial support and broad consensus among legislators. By raising the threshold, it becomes more challenging for a small minority to block the passage of a bill, making it more likely that measures with broad support can be enacted into law.

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You will need amount of 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.

To calculate how much butter is needed for 3 cups of flour in a recipe, start by identifying that the recipe requires a ratio of 1 cup of butter for every 2 cups of flour. To get the amount of butter needed for 3 cups of flour, multiply 1 cup of butter by 1.5. This will give you 1.5 cups of butter, which is the amount needed for 3 cups of flour.  Therefore, you will need 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.  To ensure accuracy, it is recommended to measure the ingredients carefully and double check your calculations before proceeding.

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Answer:

DF= 33

Step-by-step explanation:

The ratio is equal to 6:5:1 Which can be changed into 18:15:3

Since DE=18 and EF=15 you simply add and = 33

Answer:

df=33

Step-by-step explanation:

Answer:

y / z^3

Step-by-step explanation:

x^0 is 1 because anything to the zero power is 1

1 *y z^-3

We know a^-b = 1/a^b

y / z^3

Answer:

\( \small \sf \frac{y}{z {}^{ 3}} \)

Step-by-step explanation:

x⁰yz-³

\( \small \sf \: 1yz {}^{ - 3} \)

1y +\( \small \sf \frac{1}{ z {}^{ 3}} \)

\( \small \sf \frac{y}{z {}^{ 3} }\)

The nozzle pressure in Caleb's hose which has a water-flow rate of

275 gallons per minute and a diameter of 2.5 inches is: 2.15 pounds  per square inch

Simplifying expressions means rewriting the identical algebraic expression with no like terms and in a compact manner. To simplify expressions, we combine all the like terms and solve all the given brackets, if any, then in the simplified expression, we will be only left with unlike terms that cannot be reduced further.

The given rate of flow of water 'r'=275 gallons per minute

The diameter of the nozzle 'd'=2.5 inches

The given equation is: r = 30d²√P

Rearranging the equation to find the nozzle pressure 'P':

√P = r/30d²

P = (r/30d²)²

Plugging in 275 for r gives:

P = (275/30(2.5)²)²

P = 2.15 pounds  per square inch

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Answer: 8.42 x 10^2

Step-by-step explanation: (8 x 109) - (3 x 10) = 842

Scientific Notation has to be between 1 -10 so the it has to be 8.42 and

8.42 x 100 = 842 and 10 x 10 = 100 so you'd need 10^2 which makes the answer 8.42 x 10^2.

Answer:

The answer is 842

Step-by-step explanation:

8.42 X 10^2=842