Baby Madison wants to arrange 4 blocks in a row. How many different arrangements can she make

A machine costs 7500. Its value decreases by 5% every year due to usage. what will be its price after 1 year?

Arada [10]

Answer:

12000 will be the price of machine after 1year.

Step-by-step explanation:

As i got.

5 0

3 years ago

What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?

klemol [59]

Answer:

$(x-3)^{2} +(y-2)^{2}=41$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(8,-2)\\E(-2,6)$

substitute the values

$d=\sqrt{(6+2)^{2}+(-2-8)^{2}}$

$d=\sqrt{(8)^{2}+(-10)^{2}}$

$d=\sqrt{164}\ units$

$d=2\sqrt{41}\ units$

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

$C=(\frac{8-2}{2},\frac{-2+6}{2})$

$C=(3,2)$

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

$(x-h)^{2} +(y-k)^{2}=r^{2}$

we have

(h,k)=(3,2)

$r=2\sqrt{41}/2=\sqrt{41}\ units$ ---> the radius is half the diameter

substitute

$(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}$

$(x-3)^{2} +(y-2)^{2}=41$

4 0

3 years ago

Select the correct answer from each drop-down menu.

ruslelena [56]

The independent variable in the relationship is the Number of Months and should be placed on the x-axis

The dependent variable in the relationship is the Number of Fish and should be placed on the y-axis

Step-by-step explanation:

Let us explain the independent and dependent variables of a relation

The independent variable is the input of the relation

The dependent variable is the output of the relation
The values of dependent variables depend on the values of independent variables
When the relation represented graphically the independent variable placed on the x-axis and the dependent variable placed on the y-axis

The table:

→ Number of Months: 0 : 1 : 2 : 3 : 4

→ Number of Fish : 1,024 : 1,280 : 1600 : 2,000 : 2,500

Let us check is their any constant ratio between the consecutive values of the number of fish

∵ 1,280 ÷ 1,024 = 1.25

∵ 1,600 ÷ 1.280 = 1.25

∵ 2,000 ÷ 1,600 = 1.25

∵ 2,500 ÷ 2,000 = 1.25

∴ The table represent an exponential function, where the input

is the number of months and the output is the number of fish

∵ The input is independent variable

∴ The independent variable is the number of months

∵ The output is the dependent variable

∴ The dependent variable is the number of fish

∵ The independent variable is placed on the x-axis

∴ The number of months should be place on the x-axis

∵ The dependent variable is placed on the y-axis

∴ The number of fish should be place on the y-axis

The independent variable in the relationship is the Number of Months and should be placed on the x-axis

The dependent variable in the relationship is the Number of Fish and should be placed on the y-axis

Learn more:

You can learn more about the relation in brainly.com/question/10708697

#LearnwithBrainly

6 0

3 years ago

Pleaseeeee helpp me question 2 .

OLga [1]

Answer: If you are supposed to graph a line, it will be a horizontal line (parallel to the x-axis) passing through +3 on the y-axis. The slope is 0.

it is a function.

If you are doing range and domain, the range is [3] and the domain is [1,2,3,4,5]

Step-by-step explanation: If there are directions above question 1 that apply to question 2, please add them to the comments.

Maybe someone else will be able to help if it is too late for me to edit this answer.

8 0

3 years ago

Lynn has a box of crayons.

Scrat [10]

Answer:

There are 72 crayons in the box

Step-by-step explanation:

Fractions

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

$1-\frac{4}{9}=\frac{5}{9}$

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

$\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}$

Thus, the portion of yellow crayons is:

$\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}$

This fraction of x crayons is equal to 14, thus:

$\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}$

x = 72

There are 72 crayons in the box

7 0

2 years ago