What is the volume in cubic feet of a greenhouse that is 20 feet long, 15 ft wide, and 10 ft high?

Answer:

1. 110 + 83 + 328 = 521

2. 92 + 37 + 14  + 66 = 209

3. 432 + 11 + 157 + 30 = 630

3 large beads cost 2.50 * 3 = 7.50

30-7.50 = 22.50

20-7.50 = 12.50

 so they can spend between 12.50 and 22.50 on small beads

12.50 / 1.25 = 10

22.50/1.25 = 18

can buy between 10 and 18 small beads

1.25x >=12.50 and 1.25x<=22.50

The side of the square having an area of 121 yards² is 11 yards

What is the area of a square?

A square is a 4 sided polygon where all the sides are of equal length.

The area of the square is the square of any one of its side

Let a be the side of the square

Area of the square = a²

Given data ,

Let the area of the square be Y = 121 yards²

Now , let the side of the square be = a

And the equation for the area of the square is

Area of the square = a²

where a is the side of the square

So , substituting the values in the equation , we get

a² = 121 yards²

Taking square root on both sides , we get

a = 11 yards

Therefore , the value of a is 11 yards

Hence , The side of the square having an area of 121 yards² is 11 yards

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Answer:

g(x)= (1/5x) ^2

Step-by-step explanation:

Just did the test got a 100.

The function f(x) = x² after stretching horizontally by a factor of 5 will be g(x) = [(1/5)x]² so none of the given option are correct.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

If we streatch a function f(x) horizontally by factor of c then the value of new function g(x) become f(x/c)

By stretching f(x) by 5 it will  be

g(x) = f(x/5)

So replace x → x/5

Since,f(x) = x²

So,

g(x) = (x/5)²

Hence "The function f(x) = x² after stretching horizontally by a factor of 5 will be g(x) = [(1/5)x]²".

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To find how far Jeremy will walk in 84 minutes, set up a proportion relating time and distance covered.

To find the distance he walks in 84 minutes, you can set up a proportion: 2 miles / 74 minutes = x miles / 84 minutes.

Solving for x, Jeremy will walk approximately 2.27 miles in 84 minutes. Jeremy walks at a speed of 2 miles in 74 minutes.

Answer:

The correct answer is:

~p ∨ q

Step-by-step explanation:

p: It is cold today.

q: I am wearing woolen coat

~p: It is not cold today

V represents either...or...

Hence, ~p V q represents:  

Either it is not cold today or i am wearing woolen coat.

Hence, the correct option is:

~p ∨ q

Final answer:

The division Property of Equality is used to transform Equation 1 (35 = 5x) into Equation 2 (7 = x) by dividing both sides of the equation by 5.

Explanation:

The property of equality used to transform Equation 1 (35 = 5x) to Equation 2 (7 = x) is the division Property of Equality.

This property states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal. To get from Equation 1 to Equation 2, both sides of Equation 1 are divided by 5.

Division is similar to multiplication in that it follows the same rules for signs and equality. When dividing both sides by the same number, the numerator and denominator cancel out if they are the same, leaving a value of 1.

For instance, dividing 5x by 5 will lead to x, and dividing 35 by 5 will give 7, hence 7 = x, which is Equation 2.

he hiked 4 km east in 45 minutes

45 minutes = 3/4 of an hour

4 /.75 = 5.33

 so the answer would be D. 5.3 km per hour east

Answer:

B

Step-by-step explanation:

If you divide x so only x and a number remains, you will get B.

[tex]f(x) = x^{3} - 8x^{2} + 16x[/tex] has multiple zero = 4; multiplicity = 2.

" A multiple zero has the multiplicity which represents the number of times linear factor of multiple zero occur in the polynomial .Zero of the polynomial is associated with multiple zero."

According to the question,

Given,

[tex]f(x) = x^{3} - 8x^{2} + 16x[/tex]

Simplify the given polynomial to get the multiple zero and multiplicity,

[tex]f(x) = x^{3} - 4x^{2}- 4x^{2} + 16x[/tex]

       [tex]\implies x^{2} (x-4) -4x(x-4)=0\\\\\implies (x^{2} -4x)(x-4) =0\\\\\\\implies (x) (x-4)(x-4)=0\\\\\implies x(x-4)^{2} =0[/tex]

Zero is associated with x =4.

(x-4) occur twice.

Hence, multiple zero = 4 and multiplicity = 2 of the given function.

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Answer:

62

Step-by-step explanation:

Final answer:

The answer explains how to find a number from an equation involving subtraction and division, providing step-by-step instructions.

Explanation:

To find the number that gives a result of -5 when 11 is subtracted from the quotient of the number and 6, we can create an equation:

Let the number be x.

The equation becomes: x/6 - 11 = -5

Solve for x:

Add 11 to both sides: x/6 = 6

Multiply both sides by 6: x = 36

Therefore, the number is 36.

Step 1: (ab-9)(ab+8)

Step 2: ab x ab +8 x ab -9 x ab -9 x 8

Step 3:  ab2  +8ab-9ab-72=

Step 4: ab2 -ab-72

solved!!! that how you would solve it everything will continue as normal