the ratio of boy to girls in a school 1s 5:7. if there are 780 students in the school, how many boys are in the school?

9514 1404 393

Answer:

  1)  f⁻¹(x) = 6 ± 2√(x -1)

  3)  y = (x +4)² -2

  5)  y = (x -4)³ -4

Step-by-step explanation:

In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.

__

1) x = f(y)

  x = (1/4)(y -6)² +1

  4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4

  ±2√(x -1) = y -6 . . . . square root

  y = 6 ± 2√(x -1) . . . . inverse relation

  f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form

__

3) x = √(y +2) -4

  x +4 = √(y +2) . . . . add 4

  (x +4)² = y +2 . . . . square both sides

  y = (x +4)² -2 . . . . . subtract 2

__

5) x = ∛(y +4) +4

  x -4 = ∛(y +4) . . . . . subtract 4

  (x -4)³ = y +4 . . . . . cube both sides

  y = (x -4)³ -4 . . . . . . subtract 4

Answer:

true

Step-by-step explanation:

because 0.21 ×1.8 is 0.378

Answer:

13

Step-by-step explanation:

It is a square so the length of 1 side = [tex]\sqrt{169}[/tex] =  13

Answer:

C

Step-by-step explanation:

60+70=130

M=50

K=130

m+k=180 it all adds up

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation: 115-95=20

Answer:

I am not sure but I think it is c

Step-by-step explanation:

Answer:

[tex]y+6=-2(x-4)[/tex]

Step-by-step explanation:

Point-slope form is a way of representing a line by using one of its points and the slope of a line. Its general format is the following,

[tex](y-y_1)=m(x-x_1)[/tex]

Where (m) represents the slope, ([tex]x_1[/tex]) and ([tex]y_1[/tex]) represents a point on the line.

It is given that the slope of the line is (-2), and that the line has point (4, -6). Substitute this into the formula.

[tex](y-(-6))=-2(x-4)[/tex]

[tex]y+6=-2(x-4)[/tex]

Answer:

hii

have a good day for you!

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]m = -\frac{1}{2}[/tex]

[tex](x_1,y_1) = (-1,2)[/tex]

Required

Graph the line

First, is to determine the equation of the line using:

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

So:

[tex]-\frac{1}{2} = \frac{y - 2}{x - -1}[/tex]

[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]

[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]

Cross multiply:

[tex](y -2) * 2 = -1 * (x + 1)[/tex]

[tex](y -2) * 2 = -x -1[/tex]

Solve for y - 2

[tex]y -2 = -\frac{x}{2} -\frac{1}{2}[/tex]

Solve for y

[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]

[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]

[tex]y = -\frac{x}{2} +\frac{3}{2}[/tex]

The above equation will then be plotted on the graph (See attachment)

Answer:

11/12

Step-by-step explanation:

I am assuming the spinner is divided into 12 equal sectors and numbers 1-12 are written on them. Comment if I am wrong.

Spinning the 12 sided spinner, there is a 1/12 chance of spinning a specific number. So we take the opposite of that, which is 11/12. The chances of not rolling a two mean it comes out true if you roll numbers 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

Answer:

You would find the area if each individual shape inside the shape and then add all the areas together to get your final product

Answer:

Step-by-step explanation:

5 number summery

Minimum: 56

Maximum: 68

Median: 62

First quartile: 59

Third quartile: 63

hi

150/1.5 = 100  

so 100 tickets  

Answer:

Oh Stop!!!! This is sooooooooooooo easy! If you would just pay attention in school and not spend all your time trying to buy the new ipad pro maybe you would not have to go to Branily to get a simple answer! Do you think your teacher would like you cheating like this???? I dont think so. So get of of Branily and start studying!!!!  

Step-by-step explanation:

Answer:

The % of women above 50 having mammograms as devised from the survey is 70%.

Step-by-step explanation:

Given

60% of women older than age 50 have annual mammograms

Out of 1000 surveyed women of  age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms

The % of women above 50 having mammograms as devised from the survey is 70%.

Answer:

74 and 76

Step-by-step explanation:

I'm pretty sure

Answer:

8 and 9

Step-by-step explanation:

8 x 8 = 64

9 x 9 = 81

75 is the number between 64 and 81

9514 1404 393

Answer:

  A

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

__

Using these rules, along with the distributive property, we can simplify the given expression.

  [tex]\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2\\\\=\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5^2a^{4\cdot2}b^{4\cdot2})\\\\=(9)(3)a^{3+3}b^{6+2}+(9)(7)a^{3+2}b^{6+2}-25a^8b^8=27a^6b^8+63a^5b^8-25a^8b^8\\\\=\boxed{-25a^8b^8+27a^6b^8+63a^5b^8}\qquad\text{matches A}[/tex]

Answer:

527

Step-by-step explanation:

because i did it in the calculator

The algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

[tex]8[/tex] more than [tex]5[/tex] times a number

Now,

Let a number [tex]=x[/tex]

So,

According to the question,

We get, [tex](8+5x)[/tex]

So, this is the algebraic expression .

We have,

[tex]4(n + 6)[/tex]

So,

According to the question,

[tex]4(n + 6)[/tex] will be written as four times the sum of a number and six.

So, this is the verbal expression .

Hence, we can say that the algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.

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Answer:

25

Step-by-step explanation:

Answer:

mcm= 210

Step-by-step explanation:

We decompose into its prime factors

42- 70 | 2

21 - 35 | 3

7 - 35 | 5

7 - 7 | 7

1 - 1

mcm= 210

Greetings!

Answer:

The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 4 - 1 = 3

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.638

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.638\frac{22.01}{\sqrt{4}} = 18.03[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 52.63 - 18.03 = $34.60

The upper end of the interval is the sample mean added to M. So it is 52.63 + 18.03 = $70.66.

The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.

Answer:

yes

to determine if the statement is true, divide the ratio of goats by the ratio of pigs

13/4 = 3 1/4

there are 3 1/4 more goats as their are pigs

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Fits the definition

Answer:

60 Units

Step-by-step explanation:

The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.

The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of the sides of the triangle are

The measure of side AB = 61 units

The measure of side BC = 11 units

The measure of side AC = 60 units

And , the triangle is rotated by 90° counterclockwise  about the origin

The coordinates of the triangle after rotation is A'B'C'

And ,

The measure of side A'B' = 61 units

The measure of side B'C' = 11 units

The measure of side A'C' = 60 units

The length of the sides of the triangle does not change during a transformation of rotation by any degree

Hence , the measure of side A'C' of triangle is 60 units

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Answer:

12209034563 will be your answer.

Step-by-step explanation:

just add it.

Answer:

WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.

12209034563

more info can be giving on usecalculator.com

Step-by-step explanation:

Answer:

[tex]4x {}^{2} - 36 \\ = (2x + 6)(2x - 6) \\ hence \: option \: b \: is \: correct[/tex]

Answer:

The mean absolute deviation is 2.4

Step-by-step explanation: