What is the volume of a sphere with a radius of 6 inches ​

Answer: 46.2m

Side A = 7m

Side B = 19m

Side C = 20.2m

Side A + Side B + Side C = ABC

7 + 19 + 20.2 = 46.2m

Answer:

Step-by-step explanation:

Let's assume the initial number of men at the exhibition is 10x, and the initial number of women is 3x.

After 110 men left, the number of men remaining is 10x - 110.

The total number of people remaining is (10x - 110) + (3x) = 13x - 110.

According to the given information, the number of men remaining (10x - 110) is 5/12 of the total number of people remaining (13x - 110). We can write this as an equation:

10x - 110 = (5/12)(13x - 110)

To solve this equation, we can start by simplifying both sides:

10x - 110 = (65/12)x - (55/6)

To get rid of the fractions, we can multiply both sides of the equation by 12:

12(10x - 110) = 65x - 110(2)

120x - 1320 = 65x - 220

Next, we can bring the x terms to one side and the constant terms to the other side:

120x - 65x = 1320 - 220

55x = 1100

Dividing both sides by 55, we find:

x = 20

Now, we can substitute the value of x back into the initial expressions to find the number of men and women:

Number of men = 10x = 10(20) = 200

Number of women = 3x = 3(20) = 60

Therefore, there were 60 women at the exhibition

Hope this answer your question

Please rate the answer and

mark me ask Brainliest it helps a lot

Answer:

To complete the square, you always want to add \((\frac{a}{2} )^{2}\), where a is the coefficient of x.

In this case, the coefficient of x is -1.

Thus,

\(y=x^2-x+1\)

\(y=x^2-x+(\frac{-1}{2})^2 +1-(\frac{-1}{2})^2\)

\(y=(x-\frac{1}{2})^2+1-\frac{1}{4}\)

\(y=(x-\frac{1}{2})^2+\frac{3}{4}\)

Answer:

135 degrees

Step-by-step explanation:

Answer:

135. isosceles triangles have two equal sides/angles. <CBD is 135, from adding 70 and 65.

Answer:

A&C = 68° B = 112°

Step-by-step explanation:

because 180° - 122° = 68°

Answer:

Number of apple = 119

Step-by-step explanation:

Given

\(Max_{Apple} = 150\)

Required

Find the actual number of apples;

When counted in any numbers, the number being counted is the divisor;

Take for instance, when counted in pairs, the divisor is 2

When counted in threes,  the divisor is 3

and so on...

So; from the question, we understand that; when the apple is counted in 2s,3s,4s,5s, and 6s; what's left is always one less than the divisor

This means that the number of apple must satisfy the following conditions

The common multiple of 2,3,..6 are 60, 120 ,180,240.....

Recall that, these multiples must satisfy the three conditions above;

1. Less than 150: Only 60 and 120 satisfy condition.

At this point, we'll discard other numbers (180,240,300.....)

2. 1 less than the Common Multiple of 2,3,..,6:

1 less than 60: 60 - 1 = 59

1 less than 120: 120 - 1 = 119

3. Divisible by 7

At this point, we'll divide 59 and 119 by 7 to see if they satisfy this condition;

\(\frac{59}{7} = 8.42857142857\)

\(\frac{119}{7}=17\)

The results of these division shows that 59 is not divisible by 7;

Hence, the actual number of apple is 119

Number of apple = 119

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

For more questions on Value.

https://brainly.com/question/843074

#SPJ8

Answer:

He will play both sports on June 22nd.

To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.

(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).

The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.

This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.

To know more about function visit:
https://brainly.com/question/31062578

#SPJ11s.

Answer:

The height of cylinder is 20 inches

Answer:

54 MINUTES.

Step-by-step explanation:

3:14 - 2:20 = 54 MINUTES!!

Answer:

54 minutes

Step-by-step explanation:

a) The correct answer is option B. T is one-to-one because T(x) = 0 has only the trivial solution. b)The correct answer is option A. T is onto if and only if y₂ = 0. To determine if the specified linear transformation is one-to-one and onto, given T(X₁ X₂ X₃ X₄) = (x₂ +X₃₁X₁ + X₂₁X₁ + X₂,0)

Part (a): To prove that T is one-to-one, suppose that a, b belong to R⁴ such that T(a) = T(b).

Then T(a) = T(b) means

T(a) - T(b) = 0

=> T(a-b) = 0

Let a-b = (a₁ - b₁, a₂ - b₂, a₃ - b₃, a₄ - b₄)

=> X₁ = a₁ - b₁, X₂ = a₂ - b₂, X₃ = a₃ - b₃ and X₄ = a₄ - b₄.

So, T(X₁ X₂ X₃ X₄) = T(a-b) = 0

Which implies that (X₂ + X₃a₁ + X₂a₂ + X₁b₂) = 0.

Since there is only one solution X = 0 to this, so T is one-to-one.

Therefore, the answer is option B. T is one-to-one because T(x) = 0 has only the trivial solution.

Part (b): To prove that T is onto, consider any (y₁, y2) in R², we need to show that there exists (X₁ X₂ X₃ X₄) in R⁴ such that

T(X₁ X₂ X₃ X₄) = (y₁, y₂).

Let (y₁, y₂) = (X₂ + X₃a₁ + X₂a₂ + X₁b₂, 0)

Then X₂ + X₃a₁ + X₂a₂ + X₁b₂ = y₁

=> X₂ = y₁ - X₃a₁ - X₂a₂ - X₁b₂

Now T(X₁ X₂ X₃ X₄) = (X₂ + X₃a₁ + X₂a₂ + X₁b₂, 0)

= (y₁, y₂)

= (y₁, 0)

Since the second coordinate of T(X₁ X₂ X₃ X4) is always zero, T can only be onto if y₂ = 0.

Therefore, T is onto if and only if y₂ = 0.

Therefore, the answer is option A. T is onto if and only if y₂ = 0.

To know more about linear transformation, refer

https://brainly.com/question/20366660

#SPJ11

The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

Learn more about multiple regression model here:

brainly.com/question/32816836

#SPJ11

Answer:

∠ 4 = 117°

Step-by-step explanation:

∠ 1 and ∠ 4 are alternate angles and supplementary, sum to 180°, then

∠ 4 = 180° - 63° = 117°

Answer: The answer is 117

Step-by-step explanation: I just took the Quiz hehe lol

Answer:

It should be the last one!! :)

Step-by-step explanation:

The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

For more such questions on rational expression, click on:

https://brainly.com/question/29061047

#SPJ8

Answer:

66% of the formerly unknown number comes out to 24.

Step-by-step explanation:

0.11n = 4, so n (the number in question) is equal to 4/0.11, or 36.36.... (a repeating decimal).  66% of this n would be 0.66(4/0.11), or 24.

66% of the formerly unknown number comes out to 24.

Answer:

  a) "common multiplier" is 3

  b) both reduce to 1/2

Step-by-step explanation:

  \(\dfrac{30}{60}=\dfrac{3\cdot10}{3\cdot20}=\dfrac{3}{3}\cdot\dfrac{10}{20}=1\cdot\dfrac{10}{20}=\dfrac{10}{20}\)

Perhaps your "common multiplier" is 3. It multiplies both numerator and denominator in 10/20 to give you 30/60.

__

  \(\dfrac{10}{20}=\dfrac{10}{10}\cdot\dfrac{1}{2}=\dfrac{1}{2}\\\\\dfrac{30}{60}=\dfrac{30}{30}\cdot\dfrac{1}{2}=\dfrac{1}{2}\)

The simplest form of both fractions is 1/2.

Answer:

\(\left[A]\) The ratios \(\frac{10}{20}\) form a proportion by common multiplier 3 to get \(\frac{30}{60}\)

\(\left[B]\) Both ratio are equal to \(\frac{1}{2}\) in simplest form

Step-by-step explanation:

\(\left[A]\) We need to show both fraction of same proportion.

Ratio 1:  \(\frac{10}{20}\)

If we multiply by 3 at numerator and denominator

\(\frac{10*3}{20*3}\)

\(\frac{30}{60}\)

Therefore \(\frac{30}{60}\) is equivalent ratio to second one 30/60

Hence, The ratio 10/20 form a proportion by common multiplier 3 to get 30/60

∴-----------------------------------------------------------------------------------------------------∴

\(\left[B]\) Now we simplify both ration into simplest form

→ \(\frac{10/10}{20/10} =\frac{1}{2}\)

→ \(\frac{30/30}{60/30} =\frac{1}{2}\)

→ \(\frac{1}{2} =\frac{1}{2}\)

Hence, Both ratio are equal to \(\frac{1}{2}\) in simplest form.

Yes. I've received grades that follow the "curve" for many of my classes. After a test or assignment, student scores are adjusted when grading is done on a curve. The curve typically improves both the overall average grade and individual student scores. Some professors fully avoid curves while others utilize a variety of techniques.

By combining numerous payment cards through a mobile app, Curve (also known as the Curve card) is a payment card that enables users to make purchases and withdrawals with just one card. After each transaction is over, you can "swap the bank card you paid with." This function was dubbed "Back in time" by Curve. Shachar Bialick launched Curve in 2015; it is the company that issues the card as well as owns and runs the business. In December 2015, the business obtained $2 million in startup capital. In February 2016, an open beta for iOS users in the "enterprise community" was released. Customers were informed by Curve in May 2016 that Curve will no longer be able to support American Express after May 31, 2016, and they were given refunds.

Learn more about curve here

https://brainly.com/question/26430220

#SPJ4

The correct answer is option E which is Cos ( 70 ) = \(\dfrac{LN}{8}\).

The complete question is attached with the answer below:-

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

As we can see from the figure that ∠L = 70 and ∠M = 20 We can see that the length LN will be calculated as:-

Cos 70 = Base / Hypotenuse

So for an angle of 70, the base is LN and the hypotenuse is equal to 8 units.

Cos 70 = LN = 8

Therefore the correct answer is option E which is Cos ( 70 ) = \(\dfrac{LN}{8}\).

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

Answer:

A & E

Step-by-step explanation:

Jus took it on edge

Answer:

huh wym?

you will see it?

Step-by-step explanation:

The the expression is in the required form. Thus, A = 211, B = 1, and C = 1. We use the properties of logarithms to rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient, or power. is in the required form. Thus, A = 211, B = 1, and C = 1. We use the properties of logarithms to rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient, or power.

To rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient or power using the laws of logarithms; it is best to express it in exponential form and then separate it into logarithms.21619 log 211Let's express this expression in exponential form.

We know that log a b = c if a = b.

Using this property, we can write,

\(21619 log 211 = 211^(21619)\)

Now let's separate this exponential expression into logarithms.

\(z1y19 log A log(z)+ Blog(y) + Clog(z) 211\)

Now, we have the value of

\(211^(21619)\)

so we can substitute this value in the above expression to get,

\(z1y19 log A log(z)+ Blog(y) + Clog(z) 211z1y19 log A + log(z^z1y19) + Blog(y) + log(z^C) 211\)

Now we use the property that

log a^n = nlog a to split the logs into their coefficients.

\(z1y19 log A + z1y19 log(z) + Blog(y) + Clog(z).\)

Now, the expression is in the required form. Thus, A = 211, B = 1, and C = 1. We use the properties of logarithms to rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient, or power.

To know more about expression visit:-

https://brainly.com/question/14083225

#SPJ11

Answer: A

Step-by-step explanation:

Answer:

Yo download sorcratic on your phone it can give the answers

Answer:

a) \(\frac{3}{10}\) a yard

Step-by-step explanation:

\(\frac{3}{5} / 2 = \frac{3}{10}\)

You can get the answer by multiplying the denominator with the number you are dividing it.

Answer:

= 3x + 15

Step-by-step explanation:

7x + 6 - 4x + 10

= 3x + 15

Answer:

Step-by-step explanation:

7x+6-4x+10

= (7x-4x)+(6+10)

= 3x+16

A/Q

AC=BC+AB

Put the given values to find value of x

→5x=12+3x+2

→5x-3x=14

→2x=14

→x=14/2

→x=7✓

As given AC=5x

.°. AC=5×7

AC=35✓

Answer:

10, 80 and 90 degrees.

Step-by-step explanation:

The third angle will  90 - 10 = 80 degrees.