A line is graphed below.
Write an equation in the form y = mx + b that represents this line

Step-by-step explanation:

Notice that:

1st column = (5 - 1)² = 16

2nd column = (11 - 4)² = 49

Therefore 3rd column = (18 - *)² = 121, * = 7.

Answer:

7 is the missing number

Step-by-step explanation:

Let the missing number be x.

Lets study the pattern of the numbers. In each column , we find that the bottom number is the square of the difference of first 2 numbers.

In 1st column ,

Difference of first 2 numbers = 5 - 1 = 4

The bottom number = 16 = 4²

In 2nd column ,

Difference of first 2 numbers = 11 - 4 = 7

The bottom number = 49 = 7²

Similarly ,

Difference of first 2 numbers = 18 - x

The bottom number = 121

[tex] = > {(18 - x)}^{2} = 121[/tex]

[tex] = > {(18 - x)}^{2} = {11}^{2} [/tex]

[tex] = > 18 - x = 11[/tex]

[tex] = > x = 18 - 11 = 7[/tex]

Answer:

21:84

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have a box with 84 chocolates

63 are dark, milk=84-63=21

21/63=1/3 is the ratio

for each 1 milk chocolate we have 3 dark chocolates

Answer:

The formula for the gray squirrel population is [tex]n = 3125\cdot 2^{\frac{t}{6} }[/tex].

Step-by-step explanation:

The statement indicates that gray squirrel population increases geometrically, population is doubled every 6 years. That is:

[tex]\frac{n_{t+6}}{n_{t}} = 2[/tex] (1)

If the population after 30 years is 100000, then we construct the following relationship:

[tex]\frac{n_{6}}{n_{o}} \cdot \frac{n_{12}}{n_{6}}\cdot \frac{n_{18}}{n_{12}}\cdot \frac{n_{24}}{n_{18}}\cdot \frac{n_{30}}{n_{24}} = 2^{5}[/tex]

[tex]n_{30} = 2^{5}\cdot n_{o}[/tex]

[tex]n_{o} = \frac{n_{30}}{2^{5}}[/tex] (2)

[tex]n_{o} = \frac{100000}{2^{5}}[/tex]

[tex]n_{o} = 3125[/tex]

A geometric progression for the grey squirrel population is defined by the following formula:

[tex]n = 3125\cdot 2^{\frac{t}{6} }[/tex] (3)

Where:

[tex]t[/tex] - Time, measured in years.

[tex]n[/tex] - Population of gray squirrels.

Answer:

Step-by-step explanation:

Given function:

a) Maximum height is the vertex of the graph. Time needed:

If we double this time then diver will pass the peak point and it doesn't double the height

b) Maximum height is at vertex:

c) Distance from water after 2 seconds:

Answer:

I think it´s 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

because 15% (or 0.15) times 80 equals 12.

Answer:

n + 0.215n

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )

10x = 40 ( divide both sides by 10 )

x = 4

Answer:

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Step-by-step explanation:

Answer:

A translation is converting another language into English

Step-by-step explanation:

Answer:

D$62.40

Step-by-step explanation:

first start calculating how much the price is 30% then you add to the price she paid..then you get the original price of the sweater

Answer:

[tex]\sqrt{106}[/tex] units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 9, 5)

d = [tex]\sqrt{(-9-0)^2+(5-0)^2}[/tex]

   = [tex]\sqrt{(-9)^2+5^2}[/tex]

   = [tex]\sqrt{81+25}[/tex]

    = [tex]\sqrt{106}[/tex]

The value of x is 20.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Sin 30 = 10 / x ______(10

We know that,

Sin 30 = 1/2 _____(2)

So,

Substituting (2) in (1).

1/2 = 10/x

x = 10 x 2

x = 20

Thus,

The value of x is 20.

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Answer:

x = 1

Step-by-step explanation:

Answer:

i think its 32 pints

Step-by-step explanation:

im pretty sure but sorry if im wrong ❤️

The remaining honey in the beehive is 4 gallons and 2 quarts, or 4 quarts and 2 ounces.

we need to convert the given measurements to quarts and ounces and then subtract them from the original 5 gallons.

1 gallon is equal to 4 quarts, and 1 quart is equal to 32 ounces.

4 gallons can be converted to quarts by multiplying by 4:

4 gallons × 4 quarts/gallon = 16 quarts

1 pint is equal to 2 cups, and 1 cup is equal to 8 fluid ounces.

1 pint and 2 ounces can be converted to ounces:

1 pint × 2 cups/pint × 8 ounces/cup = 16 ounces

2 ounces (already in ounces) = 2 ounces

Now, let's add up the converted measurements:

16 quarts + 16 ounces + 2 ounces = 16 quarts and 18 ounces

To find the remaining honey, we subtract the converted measurements from the original 5 gallons:

5 gallons - 16 quarts - 18 ounces = 4 gallons and 2 quarts

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Answer:

11.7

Step-by-step explanation:

Answer:

What about the wink face?

Step-by-step explanation:

Answer:1 black 4 white

Step-by-step explanation:

It must be 2:3 so you have to change the current ratio from black to white(7:8) to 2:3

So the first number has to be the closets multiple of 2(8) and you have to divide 8 by 2 to get 4 and multiply that by 3 to get the ratio 8:12 which is equivalent to 2:3

Answer:

288

Step-by-step explanation:

First Divide 180/5=36. So then do 3 times 36=108. (108=People Singing, 180=People not singing). So add 108+180 to get 288.

The total number of people who attend the concert is 288.

Given that, for every 3 people at the concert singing along, there are 5 people not singing along.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Ratio of the number of people singing along at the concert to the number of people not singing along

= 3:5

Now, 3+5=8

The number of more people not singing along = 180

Let the total number of people be x

So, 5/8 × x=180

⇒ x=(180×8)/5

⇒ x=36×8

⇒ x=288

Therefore, the total number of people who attend the concert is 288.

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Answer:

have a good day too

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given is the quadratic function:

This gets maximum value at vertex, which is achieved at:

In our case:

Maximum height is at vertex:

Time the ball hits the ground, h(t) = 0:

Answer:

it would be colder because its negative

Step-by-step explanation:

Answer:

Well, it would depend on the type. In farenheight it would mean colder.

Step-by-step explanation:

In studies, it shows that below 30 degrees in farenheight is colder. Also meaning that it's below freezing temperature.

Answer:

x = 43000/9 or 4777.7 (i'm not 100% sure on this, so i apologize if i'm incorrect)

Step-by-step explanation:

The equation you were given was:

amount of solution • rate of concentration = amount of pure acid

By looking at the question, you can conclude that the amount of solution being used is 18%. You need to turn that into a decimal, therefore it'd be 0.18.

You can also conclude that the amount of pure acid being used is 860 milliliters. So, from this, you're able to fill in 2 parts of the equation:

0.18 • x = 860 mL

Now, all there's left to do is solve for x! To do this ,you'll need to rearrange the multiplication problem into a division problem.

860 / 0.18 = x

x = 43000/9 or 4777.7

Answer:

D

Step-by-step explanation:

Answer: 8x−3

Step-by-step explanation:

Let's simplify step-by-step.

7−x−−5x−10+4x

=7+−x+5x+−10+4x

Combine Like Terms:

=7+−x+5x+−10+4x

=(−x+5x+4x)+(7+−10)

=8x+−3

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

8 x -3

Step-by-step explanation:

because you do the equation on math w a y

Answer:

b

Step-by-step explanation:

Answer:

75 an 35 YEE YEE.

Step-by-step explanation:

im pretty sure

Answer:

wouldnt it be d

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The answer of this question is 60 degree

Answer:

1200

Step-by-step explanation:

18/30 is the ratio of the girls compared to the class

you can simplify it to 3/5.

the equation to solve how many girls are in the school is 3/5= x/2000

cross multiply to get 5x=6000

x=1200

Answer:

The decibel level of this second sound is 48.021 decibels.

Step-by-step explanation:

The acoustic intensity ([tex]B_{dB}[/tex]), measured in decibels, is defined by the following formula:

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex] (1)

Where:

[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.

[tex]I[/tex] - Real sound intensity, measured in watts per square meter.

If we know that [tex]B_{dB} = 42\,dB[/tex] and [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex], then the real sound intensity of the first sound is:

[tex]\frac{B_{dB}}{10} = \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]

[tex]\frac{I}{I_{o}} = 10^{\frac{B_{dB}}{10} }[/tex]

[tex]I = I_{o}\cdot 10^{\frac{B_{dB}}{10} }[/tex]

[tex]I = \left(10^{-12}\,\frac{W}{m^{2}} \right)\cdot 10^{\frac{42\,dB}{10} }[/tex]

[tex]I = 1.585\times 10^{-8}\,\frac{W}{m^{2}}[/tex]

The real sound intensity of the second sound is four times greater, that is:

[tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex]

If we know that [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex] and [tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex], then the acoustic intensity of the second sound is:

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I'}{I_{o}} \right)[/tex]

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{6.340\times 10^{-8}\,\frac{W}{m^{2}} }{10^{-12}\,\frac{W}{m^{2}} } \right)[/tex]

[tex]B_{dB} = 48.021\,dB[/tex]

The decibel level of this second sound is 48.021 decibels.