1. Find the measurement of angle J.

2. (5x - 13) (3x + 17)

Answer:

[tex]k = 0[/tex]

1) Cancle 4 on both sides.

[tex]6k = 0[/tex]

2) Divide both sides by 6.

[tex]k = 0[/tex]

Therefor, the answer is option C.

Answer:

t = 15

Step-by-step explanation:

t - 12 = 3

t = 3 + 12

t = 15

Answer:

y = 1/4x - 19/4

Step-by-step explanation:

Use the equation y = mx +b

x (x coordinate) = -1

y (y coordinate) = -5

slope (m) = 1/4

Plug in!

-5 = 1/4(-1) + b

-5 = -1/4 + b

-5 + 1/4 = b (Add 1/4 to both sides)

-20/4 + 1/4 = b

-19/4 = b

y = 1/4x - 19/4

Answer:

y = 40

Step-by-step explanation:

For #7, we are told that y = 10 when x = 2

We are also told that 'y varies directly as x'. That means there is some constant number, k, so that

Formula -->  y = kx

Since y=10 and x= 2, we substitute those numbers into the formula.

We get 10 = k × 2.  

So k has to be 5, right?

k = 5

So what is y when x = 8?

Use the formula.

y=kx ---> That gives us y = k × 8. But we know k is 5.

                                 So y = 5 × 8 = 40

                                       y = 40

9514 1404 393

Answer:

  7. y = 5x; y = 40

  8. y = 1/3x; y = 8/3

Step-by-step explanation:

In the direct proportion equation y=kx, the value of k can be found as ...

  k = y/x . . . . . divide both sides by x to solve for k

__

7. k = 10/2 = 5

The equation is ...

  y = 5x

For x=8, the value of y is found using the equation:

  y = 5(8) = 40

__

8. Same deal, different numbers.

  k = 6/18 = 1/3

  y = 1/3x . . . . . the equation

  y = 8/3 . . . . . y for x=8

Answer: x = 12

Step-by-step explanation:

You're on the right track! You're right in saying that each angle has to be 60 degrees since they're supposed to add up to 180. However, the question is asking what x equals, so we set up the equation:

5x = 60

x = 12

Answer: x=4

For this equation, you are solving for x. So first you want to get the 1/2x on a side by its self to make it easier to solve. So to do that subtract both sides by 3. (2=1/2x) Once you do that multiply both sides by 2 to get rid of the 1/2 so x is on one side by itself. (4=x) And that's your answer!

Hope this helped you!

Answer:

x = 10

Step-by-step explanation:

Angles 12x and 10x + 20 are "vertical angles," meaning that they are identical (same value).  Therefore we can write the equation 12x = 10x + 20, which reduces to 2x = 20, or x = 10.

Answer:

x=10

Step-by-step explanation:

Hey There!

Those are a pair of vertical angles

Therefore they are congruent

congruent meaning identical in form

So we would setup and equation and because the angles are congruent the equation would be

12x=10x+20  and solve for x

Step 1 subtract 10x from each side

10x-10x cancels out

12x-10x=2x

now we have

2x=20

Step 2 divide each side by 2

2/2 cancels out

20/2=10

Therefore x=10

We want our exponential function to look like

y = ab^x.

Let a = the initial y-value.

Our initial value is the first number given for f(x). So, a = 3.

Let b = the number that is needed to go from 3 to 6 to 12 to 24 to 48.

We find b by division.

So, b = the next number divided by the previous.

So, b = 6/3 = 2.

We now plug in our values into the general formula above.

y = ab^x

Answer: y = (3)(2)^x

Answer:

5 is the amount of days shes been saving for

13 would be the total money she has now

Step-by-step explanation:

Days / Money saved

0 / 3

1 / 5

2 / 7

3 / 9

4 / 11

5 / 13

Answer:

Step-by-step explanation:

water:cleaner = 12:1.5 = 8:1

Answer:

15 cups ??? i dont know tho pay attention in class

Step-by-step explanation:

.....

Answer:

area = 28.26 in²

Step-by-step explanation:

area = 3²(π) = 9(3.14) = 28.26 in²

Answer:

28.27 in^2

Step-by-step explanation:

Area of a circle = pi*r^2

pi*9=28.27

Answer:

The sample proportion is p = 0.04.

Step-by-step explanation:

The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ...

Sample of 200 pills.

Eight have failed to retain their full potency.

So the sample proportion is:

[tex]p = \frac{8}{200} = 0.04[/tex]

Answer:

just draw a diagonal of the figure and you note it turns into two triangles.

hence sum = 2 × 180= 360 degree

Answer:

-6

Step-by-step explanation:

First we need to factorize the given expression

2x^2 - 5x - 3,

2x^2 - 6x+x - 3

The two number that we are going to use to split -5x are -6 and 1

Hence the required two numbers are -6 and 1

Let p = -6

Let q = 1

p+q = -6 + 1 = -5

Take the product

p*q = -6 * 1

p*q = -6

hence the product is equal to -6

Answer:x=-16

Step-by-step explanation:

Subtract 6 from both sides

x/8=-2

Multiply the number by 8 on both sides to get x by itself

x=-16

Hope you are having a good day and if you could, brainliest would be nice

Answer:

aaaaa

Step-by-step expaalanation:

aa

Answer:

It should be answers one and three

Answer:

A. y + 7 = 2/5(x + 4)

Step-by-step explanation:

so,

[tex] \rm y - y1 = m(x - x1)[/tex]

[tex] \rm y - ( - 7) = \frac{2}{5} (x - ( - 4))[/tex]

[tex] \boxed{ \rm y + 7 = \frac{2}{5} (x + 4)}[/tex]

Answer:

Brainliest PLEASE!

Step-by-step explanation:

a = seattle

b = wilderness

t = time traveling at 132 mph

(4-t) = time traveling at 110 mph

distance traveled at 132 mph = 132(t)

distance traveled at 110 mph = 110(4-t)

but the two distances are equal so:

132t = 110(4-t), solving for t

t = 1.82 hrs

d= 1.82 hrs * 132 m/hr = 240 miles

Answer:

x=12

y=44

z=25

Step-by-step explanation:

Since it's an equilateral triangle, all 3 angles have to equal 60.

5x=60

x=12

y+16=60

y=44

3z-15=60

3z=75

z=25

Answer:

552 supporters of the home team.

Step-by-step explanation:

92% × 600 = 552

Answer:

552

Step-by-step explanation:

92% divided by 100= .92

600x.92+552

Let's set the base of the triangle to x.

(x* 3/5) / 2= 2/5

Now just solve

x*3/5=4/5

x=4/3

The base has length 4/3

Hope it helped!

The length of the base is 4/3 meters.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The area of a triangle is given by the formula:

A = (1/2)bh

where A is the area, b is the base length, and h is the height.

We are given that the area of the triangle is 2/5 square meters and the height is 3/5 meters.

Plugging these values into the formula, we get:

2/5 = (1/2)bh

b = (2/5) / [(1/2)(3/5)]

b = (2/5) / (3/10)

b = (2/5) * (10/3)

b = 4/3

Therefore,

The length of the base is 4/3 meters.

Learn more about triangles here:

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Answer:

A. f(x) = −2|x| + 1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Use the slope intercept formula(y=mx+b) to find the slope of a line.

First, you will want to put everything into it's proper order, so you will get -y=-x+5.

You cannot have a negative y, so divide everything by -1 and you will get y=x-5.

1 is the slope. Now that you know that, you will want to find the reciprocal. To find the reciprocal, you will need to swap the numerator and the denominator and then swap it's sign, whether that is positive or negative..

The reciprocal of 1 is -1. -1 is the slope of the perpendicular line

Well, this is a guess. Jim goes before john, but after joe. So Jim is second. John is third, so that leaved Joe.

Joe, Jim, John. But I don't know about the other 2.

---

sorry if this doesn't help

Answer:

Step-by-step explanation:

∠ABC = 1/2 ∠AOC

since we know ABC = 30° we can solve for AOC with a bit of Algebra

30 = 1/2 AOC

60 ° = AOC

:)  does it make sense?

the formula about is for inscribed angles , that is an angle that touches the outside of the circle and then goes through the other side.  :) Like ∠ABC

The 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.

Here,

To calculate the 95% confidence interval for the average number of units that students in their college are enrolled in, we can use the formula for a confidence interval for a population mean when the population standard deviation is unknown but can be estimated using the sample standard deviation.

The formula for the confidence interval is given by:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Error)

where:

Sample Mean (x) is the mean of the sample (12.1 units in this case).

Critical Value is the value from the t-distribution corresponding to the desired confidence level and the sample size.

For a 95% confidence level and a sample size of 45, the critical value is approximately 2.013 (you can look this up in a t-table or use a calculator).

Standard Error is the standard deviation of the sample mean, which is calculated as the sample standard deviation divided by the square root of the sample size.

Given the information in the problem:

Sample Mean (x) = 12.1 units

Sample Standard Deviation (s) = 1.5 units

Sample Size (n) = 45

Confidence Level = 95%

Critical Value ≈ 2.013

Now, let's calculate the standard error:

Standard Error = s / √n

Standard Error = 1.5 / √45 ≈ 0.2236

Now, calculate the confidence interval:

Lower bound of the confidence interval:

12.1 - (2.013 * 0.2236) ≈ 11.66

Upper bound of the confidence interval:

12.1 + (2.013 * 0.2236) ≈ 12.54

So, the 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.

Learn more about confidence interval here:

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