the output is five times the input

Hello! Your answer would be A. 2 - x.

God bless! :)

Answer:So 5/16 foot pieces from a 1 9/16 feet long piece of wood. OK so this is easy what we do is we do 1 9/16 divided by 5/16 which we switch 1 9/16 to 25/16 divided by 5/16 so we keep 25/16 switch the division symbol to a multiplication symbol and flip the 5/16 so now we have 25/16*16/5 which is 400/80 we can simplify to 5. So a 1 9/16 foot long board can make 5 5/16 pieces of wood.

Step-by-step explanation:

Answer:

B. [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

We have been given a graph that shows the height of the 10 sunflowers grown in PJ's garden. We are asked to find the probability that the 11th flower will be at least 60 inches.  

[tex]\text{Probability}=\frac{\text{Total number of favorable outcomes}}{\text{total number of possible outcomes}}[/tex]

From the given experiment we can see that there are 5 sunflowers with height more than or equal to 60 inches, so total number of favorable outcomes is 5.

Since there are total 10 sunflowers, so total number of possible outcomes is 10. Upon substituting our given values in probability formula we will get,

[tex]P(\text{The 11th plant will be at least 60 inches})=\frac{5}{10}[/tex]

[tex]P(\text{The 11th plant will be at least 60 inches})=\frac{1}{2}[/tex]

Therefore, the probability that 11th plant will be at least 60 inches is [tex]\frac{1}{2}[/tex] and option B is the correct choice.

The words regarding growth factor for the given blanks are a) 15000, b) 0.04, 1.04, c) 15000 × 1.04 and d) y = 15000(1.04)ˣ

The growth factor refers to a specific part of an exponential function. This is the base of an exponential function.

Given is a black statement, we need to find the words to be filled in them,

a) The number of students enrolled at a college is 15,000 and grows 4% each year,

Since, the number of students at time of enrollment is 15000, therefore, the initial amount = 15000

b) The percent rate of change is 4%, so the growth factor b is 1 + ______ = ______

Here, the percent rate of change is for growth, therefore,

the growth factor = 1 + 0.04 = 1.04

c) To find the number of students enrolled after one year, you calculate

15,000....

To find the number of students after one year = 15000 × 1.04

d) Complete the equation y = ?

The equation for the same will be  =

y = 15000(1.04)ˣ

Hence, the words regarding growth factor for the blanks are a) 15000, b) 0.04, 1.04, c) 15000 × 1.04 and d) y = 15000(1.04)ˣ

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Answer:

No

Step-by-step explanation:

W are given that a concrete patio is [tex]5\frac{2}{3}[/tex] feet wide

and area of of concrete patio is [tex]36\frac{5}{6}[/tex]

We have to find out the length of concrete slab is 7 foot or not.

We know that area of rectangle =[tex]l\timesb[/tex]

Let length of concrete patio =x foot

Breadth of concrete patio =[tex]\frac{17}{3}[/tex] feet

Area of concrete patio =[tex]\frac{221}{6}[/tex]

Using formula

[tex]\frac{221}{6}=\frac{17}{3}\times x[/tex]

[tex]\frac{221}{6}\times \frac{3}{17}=x[/tex]

[tex]x=\frac{13}{2}[/tex] foot=6.5 foot

Hence, length of concrete slab is 6.5 foot not 7 foot.Therefore, 7 foot picnic table will no fit.

The concrete slab is not long enough to fit the picnic table.

The concrete patio is in the shape of a rectangle. A rectangle is an object that has four sides. The diagonal is the length from angle of the rectangle to the other angle of the rectangle.

The area of a rectangle = length x width

length = area / width

[tex]36\frac{5}{6}[/tex] ÷ [tex]5\frac{2}{3}[/tex]

Convert to improper fractions

[tex]\frac{221}{6}[/tex] ÷[tex]\frac{17}{3}[/tex]

[tex]\frac{221}{6}[/tex] x [tex]\frac{3}{17}[/tex] = [tex]\frac{13}{2}[/tex]

length = 6.50 feet

The length of the patio is less than the length of the picnic table.

A similar question was answered here: https://brainly.com/question/6636974?referrer=searchResults

he read  2 1/3 pages to her one

so 2 1/3 * 3 =

7/3 * 3 = 21/3 = 7 pages

Answer:

C

Step-by-step explanation:

The length of [tex]AC[/tex] is [tex]6[/tex].

Given:

In triangle [tex]ABC, \angle A\cong \angle C,AB=x+4,BC=3x-8,AC=x[/tex].

To find:

The length of [tex]AC[/tex].

Explanation:

In the given triangle, two angles are congruent and we know that the base angles of an isosceles triangle are congruent. It means the triangle [tex]ABC[/tex] is an isosceles triangle with [tex]AB=BC[/tex].

[tex]x+4=3x-8[/tex]

[tex]x-3x=-4-8[/tex]

[tex]-2x=-12[/tex]

Divide both sides by [tex]-2[/tex].

[tex]x=6[/tex]

Now,

[tex]AC=x[/tex]

[tex]AC=6[/tex]

Therefore, the length of [tex]AC[/tex] is [tex]6[/tex].

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Answer:

Option B is correct

all the powers have the value of 1 because the exponent is zero

Step-by-step explanation:

Using the exponent rule:

[tex]a^0 = 1[/tex] for any real number a.

Given that:

[tex]4^0 = 1[/tex]

[tex](-2)^0 = 1[/tex]

[tex](\frac{1}{3})^0 = 1[/tex]

⇒all the powers have the value of 1 because the exponent is zero

Therefore, the  Statement describes what these four powers have in common is, all the powers have the value of 1 because the exponent is zero

there are 6  1/6 per hour

multiply 1/3 by 6

1/3 * 6 = 6/3 = 2 miles per hour

Answer:

Step-by-step explanation:

Answer:

y=2.2x

y=3x

Step-by-step explanation:

Took the test and got it correct

Answer:

Its 2

Step-by-step explanation:

i did the test :)

we know that

To find the average speed divide the total distance by the time

In this problem we have

[tex]total\ distance=15\frac{3}{4}\ miles[/tex]

[tex]time=5\frac{1}{4}\ hours[/tex]

Convert mixed numbers to an improper fractions

[tex]total\ distance=15\frac{3}{4}\ miles=\frac{15*4+3}{4} =\frac{63}{4}\ miles[/tex]

[tex]time=5\frac{1}{4}\ hours=\frac{5*4+1}{4} =\frac{21}{4}\ hours[/tex]

Divide the total distance by the time

[tex]\frac{(63/4)}{(21/4)} =\frac{63}{21} =3\frac{miles}{hours}[/tex]

therefore

the answer is

the average speed is  [tex]3\frac{miles}{hours}[/tex]