The formula for the volume of a pyramid is V=13BhV=13Bh, where B is the area of the base and h is the height. Rearrange the formula to solve for the height (h).


h=B3Vh=B3V


h=V3Bh=V3B


h=3VBh=3VB


h=3BV

The equation y = ax represents a straight line with slope a. If a is negative, the line slopes downward to the right, not down and to the left.

The equation y = ax describes the graph of a line. The & in the equation appears to be a typo and should likely refer to a. The constant a represents the slope of the line. When the slope a is negative, the line slopes downward as it moves to the right on a coordinate plane. This is because a negative slope indicates that as the independent variable (usually the x-axis) increases, the dependent variable (y-axis) decreases. A line with a negative slope is straight, and its steepness depends on the absolute value of the slope a. Thus, the line goes down and to the left.

To convert 0.36 repeating into a fraction, we get [tex]\frac{4}{11}[/tex].

To convert the repeating decimal 0.36 repeating (written as 0.363636...) into a fraction, follow these steps:

⇒ 100x = 36.363636...

⇒ 100x - x = 36.363636... - 0.363636...

⇒ 99x = 36

⇒ x = [tex]\frac{36}{99}[/tex]

⇒ x = ([tex]\frac{36}{99}[/tex]) / ([tex]\frac{99}{9}[/tex]) = [tex]\frac{4}{11}[/tex]

Therefore, the fraction equivalent of 0.36 repeating is [tex]\frac{4}{11}[/tex].

The solution would be like this for this specific problem:

Given:

46547 17395 25765 11325 14071 61688

You want two-digit numbers between 01 and 50, so break it up into chunks of two and eliminate any string that is not between 01 and 50.

So, the numbers from the string are:

46 54 71 73 95 25 76 51 13 25 14 07 16 16 88

Eliminated numbers:

54 71 73 95 25 76 51 88

Numbers remaining:

46 25 13 14 07 16

So, the 2 contestants from a game show out of a pool of 50 would be 46 and 25 (since these are the possible contestants based from the given).

Range of the logarithmic function F(x) = log7 x is C. x > 0.

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

In the given question, F(x) = log7 x.

Assuming log7 x = y.

Therefore, x is the value equal to [tex]7^y[/tex], hence it can not be zero and negative.

Even if y is equal to zero [tex]7^y[/tex] would be 1.

∴ The range of the logarithmic function F(x) = log7 x is x > 0.

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Secants from the same point have the same product of length to the near intersection times length to the far intersection from the point.

1) 5(5+x) = 6(6+4)

... 25 + 5x = 60 . . . . eliminate parentheses using the distributive property

... 5x = 35 . . . . . . . . subtract 25

... x = 7 . . . . . . . . . . . divide by 5

2) The same rule applies.

... 3(3+5) = 4(4+x)

... 24 = 16 + 4x . . . . . eliminate parentheses

... 8 = 4x . . . . . . . . . . . subtract 16

... 2 = x . . . . . . . . . . . . divide by 4

Answer: false

Step-by-step explanation:

The function f(x) = (x² - 36)/(4x - 24) has a removable discontinuity at x = 6, due to the fact that at this value the original function's denominator becomes zero.

The function given is f(x) = (x² - 36)/(4x - 24). To find the discontinuities of this function, we must identify values of x that cause the denominator to be zero, as the function would be undefined at those points. Factor the numerator and the denominator to simplify the expression. (x² - 36) can be factored as (x + 6)(x - 6), and (4x - 24) can be factored as 4(x - 6). So, the simplified function is f(x) = (x + 6)/4, but we must exclude the value x = 6 from the domain due to it making the original denominator zero. Therefore, the function is discontinuous at x = 6, which is also known as a point of removable discontinuity because the factor (x - 6) is canceled out in the simplification.

Solution:

Cost of apartment(Ben + Housemates) = $ 563 per month

Amount paid by Ben per month = $ 215

Yes, Accommodation provided by someone for fixed amount is an essential Expense.

All the three statements regarding Ben who pays $ 215 per month are true.

a. It cannot be eliminated in a later budget, in order to save money.

b. Living expenses have a higher priority than any other type of expense.

c. The spender controls the amount of the rent by choice of apartment.

37-3 = 34

34/2 = 17

Michael drove 17 hours

Sarah drove 20 hours  (17+3)

you have 15 x and 56

 so you need two numbers when added equal 15 and when multiplied equal 56

and since they are both positive, the answer also needs to be positive

 so B is the correct answer

Triangles ade and bef are similar due to equal angles. The ratio of their areas (9:1) means their sides have a ratio of 3:1. Using the properties of parallelograms, the parallelogram's area will be double the area of triangle ade, or 18 square units.

In the given problem, we have a parallelogram abcd and we're asked to find its area. Given the properties of a parallelogram, we know that angle bad equals angle bef. This leads to the conclusion that triangle ade is similar to triangle bef since their angles are the same. As the ratio of their areas is 9:1, it's clear the ratio of their sides is 3:1, since the ratio of the areas of similar figures is the square of the ratio of their corresponding sides.

The parallelogram's area will be double the area of triangle ade, thanks to the properties of a parallelogram (it's made up of two congruent triangles). Therefore, the area of the parallelogram is 18 square units. The important steps here were recognizing the similar triangles and knowing how to calculate a parallelogram's area.

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The correct option is 2nd option i.e., the lowest mean temperature is on Friday.

The mean temperature in North Dakota during a week in February.

We have to find which statement is true.

What is the method to find mean ?

The mean can be calculated by adding all the given numbers and then dividing by the total no. of numbers.

As per the question ;

Mean daily temperature is given in a table.

Let's arrange these temperatures day wise from highest mean temperature to lowest mean temperature.

i.e.,

Tuesday - 1.3°F > Monday - 1°F > Wednesday - 0°F > Thursday > -1.2°F > Sunday - -1.4°F > Saturday > - 1.5°F > Friday - -1.7°F

So ;

The highest mean temperature is on Tuesday of 1.3°F.

The lowest mean temperature is on Friday of -1.7°F.

Thus , the correct option is 2nd option i.e., the lowest mean temperature is on Friday.

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Answer:

1 radien = 57.3 degrees

Step-by-step explanation:

1 radien = 57.3 degrees

Answer:7=0.5 |x-4| -3

+3                +3

10=0.5 |x-4|

10/0.5=0.5/0.5 |x-4|

20=|x-4|

            ^

-20=x-4   20=x-4

 +4    +4    +4    +4

-16=x       24=x

The answers are -16=x and 24=x

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Step-by-step explanation:

1st number can be 0-9 = 10 numbers

2nd number can be 0-9 = 10 numbers

3rd number can be 0-9 = 10 numbers

10 * 10 * 10 = 1000 combinations

Answer:

Option (D) is correct.

Step-by-step explanation:

Let the initial original height of the cone is h and radius is r.

The volume of original cone is given by

[tex]V=\frac{1}{3}\times \pi r^{2}\times h[/tex]

Now the new height be h' = 2/5 h and radius r' = 2r

So, the new volume be

[tex]V'=\frac{1}{3}\times \pi r'^{2}\times h'[/tex]

[tex]V'=\frac{1}{3}\times \pi\times  2r^{2}\times \frac{2}{5}h[/tex]

[tex]V=\frac{8}{15}\times \pi \times r^{2}h[/tex]

divide 21 3/4 by 1 1/3 = 16 5/16

 she can make 16 dresses

The truck going to the village remains one.

This question appears to be an example of logical reasoning. If a truck is going to a village and stops to see four trucks, the number of trucks going to the village is still one. The fact that the truck stops to see four other trucks does not change its own path or destination.

3x+3-x+(-7)>6

 combine like terms on left side

2x-4>6

add 4 to both sides 2x>10

x=10/2 = 5

x>5