What is the distance between -6 and 4 on a number line? Show your work.

Answer

12

Step-by-step explanation:

You need to use cosine because the side length needed is adjacent and you have the hypotenuse.Set up a proportion of "cos23 = x/13" and solve by cross multiplying. Then just round.

Step-by-step explanation:

A = 12x^3y^2

P = 2(4x^2y+3xy)

Answer:

168

Step-by-step explanation:

This is a proportion problem, but with a small trick.

Boys/Girls = 7/6

Here is the trick: add 1 to each side of the equation

(boys/girls) + 1 = (7/6) + 1

(boys + girls)/girls = 13/6

364/girls = 13/6 => 13*(girls) = 6*364 = 2184 => girls = 168

Answer:

[tex]168[/tex] girls

Step-by-step explanation:

Since the ratio of girls to boys is [tex]6:7[/tex], we can let the number of girls be [tex]6x[/tex] and the number of boys be [tex]7x[/tex]. We are given that there are a total of [tex]364[/tex] students, so we can write the following equation to solve for [tex]x[/tex]:

[tex]6x+7x=364[/tex]

Solving for [tex]x[/tex], we get:

[tex]6x+7x=364[/tex]

[tex]13x=364[/tex] (Simplify LHS)

[tex]\frac{13x}{13} =\frac{364}{13}[/tex] (Divide both sides of the equation by [tex]13[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=28[/tex] (Simplify)

Therefore, there are [tex]6x=6*28=168[/tex] girls in the 6th Grade. Hope this helps!

Answer:

V=9

Step-by-step explanation:

9 times 3 equals 27 and that's how I got 9

Answer:

201.6

i think

Answer: I am pretty sure its A

Step-by-step explanation:

Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.

Down is a formula I made!

Main number: 1/9

Repeating how many times: 3

Expression: [tex]\frac{1}{9} ^3[/tex]

Therefore, 1/9 to the 3rd power is 1/729.

[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]

Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.

9514 1404 393

Answer:

  B.  9 x 10^4

Step-by-step explanation:

The square number will be a square multiplied by 10 to an even power. Only one choice has an even power of 10.

  9 x 10^4

1. There are 26 letters in the alphabet. Only one of those letters is A. Thus, the probability of picking A is 1/26.

2. Out of the 26 letters, two are either A or B. Thus, the probability would be 2/26, or 1/13.

3. 1/26 letters in the alphabet are Z thus there is a 1/26 probability in picking this letter.

4. There are 5 vowels in the alphabet. Thus, the probability would be 5/26.

5. There are 21 consonants in the alphabet, thus the probability of selecting a consonant fron the alphabet would be 21/26.

6. 4/26, as there are 4 unique letters from the alphabet in the name Bryn.

7. 8/26, as there are 8 letters before I in the alphabet.

8. 5/26 because there are 5 letters in the alphabet following the letter U

9. 11/26 because there are 11 letters between I and U.

10. 0/26 because there are no numbers in the alphabet.

According to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.

To find the total population of ladybugs in the region after the swarm arrives, we need to add the number of ladybugs in the region before the swarm arrives to the number of ladybugs in the swarm:

Total ladybugs = 8.3 x 10⁶ + 950,000

Total ladybugs = 8,300,000 + 950,000

Total ladybugs = 9,250,000

Therefore, according to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.

Learn more about total population here: https://brainly.com/question/13902749

#SPJ1

Answer:

2 litres of water

Step-by-step explanation:

If Ryan drinks 1 1/2 liters of water every 3/4 of an hour at a constant rate, this can also be expressed as;

1 1/2 litres = 3/4 hour

To get the amount of litres Ryan drank for 1 hour

x = 1 hour

Divide both equations

(3/2)/x = (3/4)/1

3/2x = 3/4

2x * 3 = 3 * 4

6x = 12

x = 12/6

x = 2

Hence Ryan drinks 2 litres of water in an hour

Answer:

4, 14, 14, 16

Step-by-step explanation:

Key skills needed: Casework, Mean, Median, and Mode

1) We start with 4 numbers _ _ _ _

2) We can determine two of the numbers by using the fact that the median is 14 and the mode is 14.

3) The numbers would have to be:

The 2nd one does not work because the last number would have to be a 6 to have a mean of 12, but the range would not be 12.

4) So, our numbers are _ 14 14 _

5) The two numbers add up to 20 (in order to have a mean of 12. If you subtract the bigger one by the smaller one, it will be 12.

6) We can make a system: saying x is the bigger number and y is the smaller number.

x + y = 20

x - y = 12

Add both and you will get 2x = 32 (since the y values cancel out).

7) divide by on both sides, and x = 16.

8) To find y, we can plug x back in to one equation:

16 + y = 20

y = 4

Our smaller number is 4 and our bigger number is 16.

9) Therefore the numbers are: 4, 14, 14, 16

Hope you understood and have a nice day!! :D

Answer:

9.40L

Step-by-step explanation:

Answer:

Perimeter with brackets is: [tex]\mathbf{Perimeter = (t+7)+(t+7)+(t+7)+(t+7)}[/tex]

perimeter without brackets is:

[tex]\mathbf{Perimeter = 4t+28}[/tex]

Step-by-step explanation:

We need to write two expressions for the perimeter of given shape, one with brackets and one without.

Length of side of shape = t+7

The formula used to find perimeter is: [tex]Perimeter = Sum\: of\: all\: sides[/tex]

Since the shape has 4 sides, we get:

[tex]Perimeter = Sum\: of\: all\: sides\\Perimeter = (t+7)+(t+7)+(t+7)+(t+7)[/tex]

So, perimeter with brackets is: [tex]\mathbf{Perimeter = (t+7)+(t+7)+(t+7)+(t+7)}[/tex]

Now, finding perimeter without brackets:

[tex]Perimeter = (t+7)+(t+7)+(t+7)+(t+7)\\Perimeter = t+7+t+7+t+7+t+7\\Combining\:like\:terms:\\Perimeter=t+t+t+t+7+7+7+7\\Perimeter=4t+28[/tex]

So, perimeter without brackets is:

[tex]\mathbf{Perimeter = 4t+28}[/tex]

Answer:

Rotated then reflected.

Step-by-step explanation:

Answer:

[tex]7x - 4y = 42[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (6,0)[/tex]

[tex](x_2,y_2) = (2,-7)[/tex]

Required

Determine the equation in standard form

First, calculate the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{-7 -0}{2 - 6}[/tex]

[tex]m = \frac{-7}{-4}[/tex]

[tex]m = \frac{7}{4}[/tex]

The equation in standard form is calculated using:

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

This gives:

[tex]y - 0 = \frac{7}{4}(x - 6)[/tex]

[tex]y = \frac{7}{4}(x - 6)[/tex]

Cross Multiply

[tex]4y = 7(x - 6)[/tex]

Open bracket

[tex]4y = 7x - 42[/tex]

Subtract 7x from both sides

[tex]-7x + 4y = 7x - 7x - 42[/tex]

[tex]-7x + 4y = - 42[/tex]

Multiply through by -1

[tex]-1(-7x + 4y) = - 42*-1[/tex]

[tex]7x - 4y = 42[/tex]

Answer:

4 + 2t = m

Step-by-step explanation:

Answer:

i think it t=2m

so sorry if im wrong i tried

Step-by-step explanation:

Answer:

3 x 3/12 x 2/11 x 9/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. multiplication property of equality.

2.division property of equality.

Answer:

Never

Step-by-step explanation:

If two equations have the same slopes and the same y-intercepts they are equivalent to each other

Here's why:

The formula for a linear equation is y= mx +b

b= y- intercept

m= slope

m and b are only variable that have to be replaced by a number for the equation to be complete

Therefore, when m and b (or the slope and the y-intercept)  of both equations are the same, the two equations are the same

The answer would be allrealnumbers, not nosolutions

Hope this helps!!!

Answer:

The equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6 will be:

Step-by-step explanation:

Given

We know that the slope-intercept form of the line equation

y = mx+b

where

substituting m = 6 and the point (3, -4) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-4 = 6(3) + b

-4 = 18 + b

switch sides

b = -4 - 18

b = -22

now substituting m = 6 and the b = -22 in the slope-intercept form of the line equation

y = mx+b

y = 6x + (-22)

y = 6x - 22

Therefore, the equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6 will be:

Answer:

339.7705

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

6×5 and 4×2 then subtract

Answer:

30-8=22

Step-by-step explanation:

6*5-4*2

30-8

22

Answer: 2 feet tall

Step-by-step explanation: 5*6=30/60=2

Step-by-step explanation:

2*(1/4)=0.25*2= 0.5 = (2/4)

(2/4) + (3/4)= (5/4) =

Answer:

$9

Step-by-step explanation:

DELTAMATH

Answer:

n₁  > n₂     Sample size of the first sample is bigger

Step-by-step explanation:

CI = 95 %    α = 5 %     α = 0,05

We know the bell shape curve of the normal distribution is symmetrical with respect to the mean, therefore we only need to evaluate one tail of the samples

Then from z-table we find   z(c)  =  1,64

CI   =  (  μ₀ - z(c)*σ /√n   <  X  <   μ₀ + z(c)*σ /√n )

So we must compare the tails of the two CI

Let´s call  n₁    and   n₂   the samples size of two different samples

The CI of the samples begins at

sample 1       μ₀ - z(c)*σ /√n₁        and for sample 2    μ₀ - z(c)*σ /√n₂      

that means   51,7  =  μ₀ - z(c)*σ /√n₁     (1)

and                49,1  =   μ₀ - z(c)*σ /√n₂     (2)

Where   μ₀ ;  z(c) = 1,64 ;  σ  are equal in both equations

Now by simple inspection, we note that the second term on the right side of the second equation should be bigger than the second term on the right side of  the first equation

then    

z(c)*σ /√n₂   >  z(c)*σ /√n₁

Then   n₂    need to be smaller than  n₁

n₁  > n₂