Anybody know what the value of r is?
-1/5(-5r+10)=8

The true statement is David's calculations are incorrect, he used the circumference and the height to find the volume.

Correct calculation:

C = 2πr

8.6 = 2 × 3.14 × r

8.6 = 6.28r

r = 8.6/6.28

r = 1.36942675159235 inches

convert 1.36942675159235 inches to cm

= 3.478343949044569 cm

Approximately,

r = 3.5 cm

Volume = πr²h

= 3.14 × 3.5² × 15.2

= 3.14 × 12.25 × 15.2

= 584.668 cm³

Approximately,

volume = 584.7 cm³

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The short explanation of the effects of the above operations will not affect the inequality.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9, then we have

4 x 3 x 2 x 4 x 9 < 7 x 3 x 2 x 4 x 9

864 < 1512

2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)

11 + 3 + (-4) > - 2 + 3 + (-4)

10 > - 3

3. -2 ≤ -2 Subtract 6 from both sides, then 8, and then 2

-2 - 6 - 8 - 2 ≤ -2 - 6 - 8 - 2

- 18 ≤ - 18

4. -4 < 8 Divide both sides by -4, then by -2

- 4 / (-4) > 8 / (-4)

1 / (-2) > - 2 / (-2)

- 1/2 < 1

The short explanation of the effects of the above operations will not affect the inequality.

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Answer:

Slope-intercept form: \(y=-\frac{7}{4}x-\frac{19}{2}\)

Point-slope-form: \(y-1=-\frac{7}{4}(x+6)\)

Step-by-step explanation:

Hi there!

We want to find the equation of the line perpendicular to the line 4x-7y=2 that goes through (-6, 1) in slope-intercept form, as well as the point-slope form

Slope-intercept form is defined as y=mx+b, where m is the slope and b is the y intercept

Point-slope form is defined as \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point

Meanwhile, perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So let's find the slope of the line 4x-7y=2

The equation of the line is in standard form, which is ax+by=c, where a, b, and c are integer coefficients a is non-negative, and a and b aren't 0

So let's find the slope of the line 4x-7y=2

One way to do that is to convert the equation of the line from standard form to slope-intercept form

Our goal is to isolate y onto one side

Subtract 4x from both sides

-7y=-4x+2

Divide both sides by -7

y=\(\frac{4}{7}x-\frac{2}{7}\)

So the slope of the line 4x-7y=2 is \(\frac{4}{7}\)

Now, we need to find the slope of the line perpendicular to it

Use this formula: \(m_1*m_2=-1\)

\(m_1\) in this case is \(\frac{4}{7}\)

\(\frac{4}{7}m_2=-1\)

Multiply both sides by \(\frac{7}{4}\)

m=\(-\frac{7}{4}\)

Let's see the equation of the perpendicular line so far in slope-intercept form:

y=\(\frac{-7}{4}x\)+b

We need to find b now

The equation of the line passes through (-6,1), so we can use it to solve for b.

Substitute -6 as x and 1 as y

\(1=-\frac{7}{4}*-6+b\)

Now multiply

1=\(\frac{42}{4}+b\)

Subtract 42/4 from both sides to isolate b

-19/2=b

Substitute -19/2 as b into the equation

The equation in slope-intercept form y=\(\frac{-7}{4}x-\frac{19}{2}\)

Now, here's the equation in point-slope form

Recall that the slope is \(\frac{-7}{4}\) , our point is (-6, 1), and point-slope form is \(y-y_1=m(x-x_1)\)

Let's label the value of everything to avoid any confusion

\(m=-\frac{7}{4} \\x_1=-6\\y_1=1\)

Now substitute those values into the equation

\(y-1=-\frac{7}{4}(x--6)\)

We can simplify the x--6 to x+6

\(y-1=-\frac{7}{4}(x+6)\)

Hope this helps!

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Logarithmic form is the inverse of exponential form. We use logarithmic form when we want to express exponential equations in terms of the exponent.

The logarithmic equation for 512 = 8³ can be written as log₈ 512 = 3. The logarithmic equation for a = b⁻² - c⁻² can be written as logₐ b⁻² - logₐ c⁻² = logₐ (b⁻²/c⁻²). Now, we will evaluate each logarithmic equation separately.(a) 512 = 8³ log₈ 512 = 3(b) a = b⁻² - c⁻² logₐ (b⁻²/c⁻²) = logₐ b⁻² - logₐ c⁻²

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Answer:

19. 20 questions total

20. 84.61538461538

Rounded: 85%

Step-by-step explanation:

Using proportion:

a= part

b= whole

a/b=a/b

Answer: Answer for 19 is 20 and answer for 20 is 85%

Hope this helps!

Answer:

B

Step-by-step explanation:

A square pyramid is one with a square base. The correct option is B.

A square pyramid is one with a square base. It is a right square pyramid with C4v symmetry if the top is perpendicular to the centre of the square. It is an equilateral square pyramid if all edge lengths are equal.

The place at which the up-side down pyramid will intersect with the plane will be a square.

Hence, the correct option is B.

The complete question is:

If a vertical plane cuts through a square pyramid down from the vertex, which of the following best describes the shape of the cross-section?

A. Pentagon

B. Square

C. Rectangle

D. Triangle

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Answer:

13. 5/8

14. 16/24

15. 15/35

Answers:

13. 5/8

\(\frac{5}{8} \neq \frac{2}{3}\)

14. 16/24

\(\frac{16}{24} \neq \frac{3}{4}\)

15. 15/35

\(\frac{15}{35} \neq \frac{2}{7}\)

Answer:

the first answer is correct Edge 2020

Step-by-step explanation:

Answer:

Step-by-step explanation:

-6

Answer:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72

If 64 is a perfect cube the length of each edge of the block can be found. The edge length of a cube is: 4cm.

Given:

Volume of cube=64cm³

Hence:

Volume of the cube = a³

Volume of the cube, a³= 64 cm³

Using this formula

Cube edge length =∛(side)³

Let plug in the formula

Cube edge length =∛(64cm³)

Cube edge length=4cm

Therefore if 64 is a perfect cube the length of each edge of the block can be found. The edge length of a cube is: 4cm.

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The ratio of the coefficient is the same so it will be the infinite solution of a given system of the equation so option (C) will be correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A linear equation could contain more than one variable. When the maximum power of the variable is constantly uni, an equation is said to be linear.

Given the set of equation

4x - 2y = 12

20x - 10y = 160

The ratio of x coefficient = 4/20  = 1/5

The ratio of y coefficient = -2/-10  = 1/5

The ratio of the constant term = 12/160 = 1/5

Since all ratios are the same so there will be an infinite number of solutions.

The question was incomplete, but the complete question is given below.

How many solutions does this system have?

4x – 2y = 12

20x - 10y = 60

A. None

B. One

C. Infinite

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Answer:

11/12

Step-by-step explanation:

6 7/12 - 5 2/3

=(6-5) + (7/12 - 2/3)

= 1 + 7/12 - 2*4 / 3*4

= 1 + 7/12 - 8/12

= 1 + 7-8 / 12

= 1 + -1/12

=11/12  

Answer:

Step-by-step explanation:

To solve this problem, we'll use the concept of permutations.

First, we need to choose a woman for the position of president, then another woman for the position of vice president, and finally, a man for the treasurer position.

1. President: Since there are 20 women, we have 20 options for the president position.
2. Vice President: We're left with 19 women (since we already chose one for the president), so we have 19 options for the vice president position.
3. Treasurer: Since there are 17 men, we have 17 options for the treasurer position.

Now, multiply the number of options for each position together to find the total number of ways to form the committee:

20 (president) × 19 (vice president) × 17 (treasurer) = 6,460 ways.

So, there are 6,460 possible ways to choose three different members with women as president and vice president and a man as treasurer.

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Answer: 80000

Step-by-step explanation:

p=f

    a

24

0.003

NOTE:30  ÷10000=0.030km

Answer:binomial, polynomial,trinomial

Step-by-step explanation:

The row and column totals will be the same as for the observed frequency is 86.4.To find the expected number of people who get fewer than 6 hours of sleep per night and are age 39 or younger, you can use the formula for expected frequency:

Expected Frequency = (Row Total * Column Total) / Grand Total

Let's call the expected frequency "EF."

For the "fewer than 6 hours" row, the total is 72. For the "39 or younger" column, the total is 240. The grand total is 500.

Plugging in the values into the formula:

EF = (72 * 240) / 500

Calculating the result:

EF = 86.4

So, the expected frequency is 86.4, which means that you would expect 86.4 people in the sample to get fewer than 6 hours of sleep per night and be age 39 or younger.

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Answer:

18 r2

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

for the first answere

Answer:A) no solutions

Step-by-step explanation:

1) set both problems equal to each other

2) subtract four from each side

3) subtract 2x from each side

4) 10 does not equal 0

Answer:

No solution

Step-by-step explanation:

As soon as you minus the equations from each other, the y's and x's cancel out therefore there is no solution

The correct answer is Point A onto Point D, and AB onto DE.Since the triangles are congruent, we know that they have the same shape and size.

what is  congruent?

In mathematics, congruent means having the same size and shape. In geometry, two figures are congruent if they have the same size and shape, which means that all corresponding sides and angles are equal.

In the given question,

Based on the given information, we know that triangle ABC and triangle DEF are distinct acute triangles such that ZBZE. We are also told that AABC is congruent to ADEF, and we need to determine which sequence of rigid motions maps the triangles onto each other.

The correct answer is Point A onto Point D, and AB onto DE.

Since the triangles are congruent, we know that they have the same shape and size. Therefore, we need to find a sequence of rigid motions that will map one triangle onto the other.

The first step is to map point A onto point D, which can be done with a translation. The second step is to map AB onto DE, which can be done with a rotation about point D. This sequence of rigid motions will map triangle ABC onto triangle DEF.

Option 1, ZA onto ZD and ZC onto ZF, does not necessarily map the rest of the triangles onto each other.

Option 2, AC onto DF and BC onto EF, is incorrect because it only maps two sides of the triangle and does not guarantee congruence.

Option 4, ZC onto ZF and BC onto EF, also does not necessarily map the rest of the triangles onto each other.

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Answer:

it represents a variable

Step-by-step explanation:

The number 8 is the coefficient of the variable k.

A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.

Given that the expression is 8k + 5. In the given expression the number 8 is the coefficient of the given expression.

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Answer-

The cost of one tetra is $2.5 and one rainbow fish is $8.5

Explanation

Let the cost one tetra be 'x';

Cost of rainbow fish = x + 6;

According to question;

8x + 2(x + 6) = 37;

10x = 25

x = $2.5;

the amount or equivalent paid or charged for something : price

The average cost of a university training has gone up dramatically.

the outlay or expenditure (as of attempt or sacrifice) made to acquire an item

He executed repute, but at the fee of dropping numerous buddies.

loss or penalty incurred specially in gaining some thing

the price of lives during war

three

costs plural : charges incurred in a judicial process

particularly : those given by the law or the courtroom to the triumphing party in opposition to the dropping birthday party

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Answer: -(-3)

Step-by-step explanation:

a double negative would equal to a positive :)

Answer:

B and c I think lolll

Answer:

isoceles right triangle

Step-by-step explanation:

1. it has a right angle

2. it has to equivalent sides

5x - 3y = 2. -3y = -5x + 2. y = (5/3)x - 2/3. x y.

5x-3y=2

-3y=-5x+2

y=(5/3)x-2/3

Answer:

y=4x+2

Step-by-step explanation:

Answer:

8x + 6 = 2 * (5x - 2)

x = 5

OP = 46

Step-by-step explanation:

The Triangle Midsegment Theorem

A midsegment connecting two sides of a triangle is parallel to the third side and is half as long.

So,  PO =  2 * SQ

8x + 6 = 2 * (5x - 2)

8x + 6 = 10x - 4

6 + 4 = 10x - 8x

10 = 2x

x = 5

OP = 8x + 6

= 8 * 5 + 6

= 40 + 6

= 46

To evaluate 8 log16, we need to understand the properties of logarithms. In this case, we have a logarithm with base 16.

The logarithm of a number to a given base tells us the exponent to which the base must be raised to obtain the number. In this case, we need to find the exponent to which 16 must be raised to obtain the number 8.

Since 16 to the power of 1 is equal to 16, we know that log16(16) = 1. Therefore, log16(8) is a number between 0 and 1.

To simplify further, we can express 8 as a power of 16. We know that 16 to the power of 2 is equal to 256. Since 8 is half of 16, it can be written as 16 to the power of 2 divided by 2. Therefore, 8 can be expressed as 16^(2/2).

Now, we can use the logarithmic property that states log_b(x^y) = y * log_b(x). Applying this property, we have:

8 log16 = (16^(2/2)) log16 = (16^1) log16 = 16 * log16

Since we know that log16(16) = 1, we can substitute it in:

8 log16 = 16 * 1 = 16

Therefore, the value of 8 log16 is 16.

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The 95% confidence interval for the mean number of hours students spend in front of a computer a week can be estimated using the sample mean and sample standard deviation. Given that the sample size is 50, the formula for calculating the confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √Sample Size)

The critical value is obtained from the t-distribution table or using statistical software, depending on the degrees of freedom (n-1) and the desired confidence level (in this case, 95%).

Without the exact critical value and its corresponding degrees of freedom, it's not possible to provide the precise confidence interval. However, based on the given information, you can use the t-distribution with 49 degrees of freedom to estimate the 95% confidence interval for the mean number of hours students spend in front of a computer a week.

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Answer:

The answer is y=-2/3x+1

Step-by-step explanation:

Remember the slope intercept is y=mx+b