Find the distance between each pair of coordinates.
G(1,-4), H(9,2)

Answer:

x=0

Step-by-step explanation:

We can first add 49 to both sides to get (x+7)^2=49

We can then take the square root of both sides and get x+7=7

Subtract 7 to both sides and you get x=0

Answer:

\(x=-14\text{ and } x=0\)

Step-by-step explanation:

We are given:

\((x+7)^2-49=0\)

And we want to solve for x.

First, we can add 49 to both sides:

\((x+7)^2=49\)

Now, we can take the square root of both sides. Since we are taking an even root, we will need plus-minus. Hence:

\(x+7=\pm\sqrt{49}\)

Evaluate:

\(x+7=\pm7\)

Subtract 7 from both sides:

\(x=-7\pm7\)

So, we have two solutions:

\(x=-7+7\text{ and } x=-7-7\)

Evaluate:

\(x=0\text{ and } x=-14\)

So, from least to greatest, our solutions are:

\(x=-14\text{ and } x=0\)

Answer:

Minor is partly

Step-by-step explanation:

The fault must partly have been in me.

5th line

According to the question the potato will be 75 feet from the ground at 5 seconds.

Ground is the solid surface of the Earth. It is composed of soil, rocks, and sediment. Ground allows us to walk, build, and grow plants. It also provides a habitat for many different species of animals and plants. Ground can be affected by human activities such as construction and farming, or natural events such as earthquakes, volcanoes, and erosion.

The function h(t)=-16t^2 + 100t + 5 is a quadratic equation that describes the height of the potato (h) at any given time (t).
The first term, -16t2, describes the acceleration due to gravity.
The second term, 100t, describes the initial velocity at which the potato was launched.
The third term, 5, describes the initial height of the potato, which is 5 feet.
Therefore, to find the height of the potato at any given second, we simply plug in the value of t into the equation. For example, if we want to find the height of the potato at t = 5 seconds, we plug in 5 for t and solve for h:
h(5) = -16(5)2 + 100(5) + 5 = 75 feet
Therefore, the potato will be 75 feet from the ground at 5 seconds.

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We plug in 5 seconds for t and solve for h:

\(h(5)=-16(5)^2+100(5)+5=75\) feet

In five seconds, the potato will be 75 feet above the earth.

The function \(h(t)=-16t^2+100t+5\)

Describes the height of the potato (h) at any given moment using a quadratic equation. (t).

The acceleration brought on by gravity is described by the first term, \(-16t^2\).

The potato's original launch velocity is indicated by the second term, 100t.

The third term, 5, refers to the potato's original height, which is 5 feet.

Therefore, we only need to enter the value of t into the equation to determine the height of the potato at any particular time.

For instance, we plug in 5 for t and solve for h to determine the height of the potato at t = 5 seconds.

\(h(5)=-16(5)^2+100(5)+5\\\\h(5)=75\ feet\)

The potato will therefore be 75 feet above the earth in 5 seconds.

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ANSWER

C. (2×+1)(×-6)

EXPLANATION

We want to find the equivalent expression to the one given.

To do that, we have to factorise the expression.

We need to separate -11x into two numbers such that the sum of those numbers is -11 and the product of those numbers is -12 (i.e. -6 * 2).

The two numbers are -12 and 1.

So, the expression becomes:

So, the equivalent expression is Option C.

Answer:

22

Step-by-step explanation:

The median of a data set is found by putting the data set in ascending numerical order and identifying the middle number. If there are an odd number of data values in the data set, the median is a single number. If there are an even number of data values in the data set, the median is the average of the two middle numbers. Sorting the data set for the values entered above we have:

\(12, 17, 17, 22, 25, 31, 35\)

Since there is an odd number of data values in this data set, there is only one middle number. With 7 data values, the middle number is the data value at position 4. Therefore, the median is 22.

Answer is 22

use formula -N+1/2

Answer:

24.8

Step-by-step explanation:

To answer this we must divide 446.4 by 18 and we get 24.8

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

10

Step-by-step explanation:

sqrt. 100 = 10

because base x height = area

base and height must be same length in a square

Answer:

17.085

Step-by-step explanation:

  +1

12.835

+  4.25

  17.085

Answer:

Refer to the attachment given for explanation.

✐ The answer will be 17.085.

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# ꧁❣ RainbowSalt2²2² ࿐

Answer: 42 gallons

Step-by-step explanation:

given data:

average gas mileage/day = 29miles/gallon

distance travelled each day by James = 87miles

How much gas does he use in 14days drive.

solution:

james drives 87miles daily, so in 14 days he would have travelled

= 87miles * 14

= 1218miles travelled.

gas used in 14days

1218miles distance traveled in 14 days

29miles/gallon

= 1218miles / 29miles

= 42gallons of gas have been used by janew to fuel his truck in 14days.

Answer:

No

Step-by-step explanation:

x-y less than -2

4x+y less than 3

4x less than 3+y

4x less than 3y

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,

PR = PQ + QR

Putting the given values of PQ ,QR & PR

=> 4x - 12 + 2x + 7 = 31

=> 6x - 5 = 31

=> 6x = 31 + 5

         = 36

=> x = 36/6 = 6

Answer:

2x = 3

Step-by-step explanation:

Here we have a balanced equation using the hanger method.

The left side shows two x'es, so the left side of the equation should be 2x.

The right shows three units with a value of "1", so the right side of the equation should be 3.

As a result, 2x = 3 is our final answer.

Answer:

Division can be thought of as the opposite of multiplication. Let's say you want to divide 8 by 2. Another way to think of this example is what can be multiplied by 2 to equal 8? 4 does. There are many different methods to come up with a solution. I honestly cannot explain division with one universal method. Start with thinking about what is division. It took me awhile to figure it out, unfortunately I don't think I can help much that's what I can explain.  Anybody with more knowledge than my 10th grade math skills please help? This is important.

Step-by-step explanation:

Step-by-step explanation:

When we divide any number, divisor must be smaller than the number of dividend. Subtract the product from the number of dividend every time and then take the next number until all number finished. Quotient is always written above the line and product below the number of dividend.

=====================================================

Work Shown:

A = 18 take bio

B = 13 take Spanish

C = 5 take both

A+B-C = 18+13 - 5 = 26 students total

------------------------------

Another approach:

18 take bio and 5 take both, so 18-5 = 13 take bio only

13 take Spanish and 5 take both, so 13-5 = 8 take Spanish only

We then have 13+8+5 = 26 students

Both methods only work when each student is in either bio, Spanish, or both. We cannot have a student who is in neither class.

If the credit card did not have a promotional offer, Lori would have had to pay approximately $110.58 more in interest.

a. To determine how long it will take Lori to pay off the balance, we need to calculate the number of months it will take for the total balance to reach zero.

Let's assume it takes n months for Lori to pay off the balance. Each month, Lori pays $75 towards the balance. Since there is no interest during the promotional period, the balance decreases by $75 each month.

The initial balance is $562, so the remaining balance after n months can be represented as:

Remaining balance = Initial balance - (Monthly payment * Number of months)

0 = 562 - (75 * n)

Solving this equation for n:

75n = 562

n = 562 / 75

n ≈ 7.49

Therefore, it will take Lori approximately 7.49 months (or rounded up to 8 months) to pay off the balance.

b. To calculate the total interest paid, we need to subtract the initial balance from the total amount paid over the repayment period. The total amount paid is the monthly payment multiplied by the number of months.

Total interest paid = Total amount paid - Initial balance

Total amount paid = Monthly payment * Number of months

Total interest paid = (Monthly payment * Number of months) - Initial balance

Total interest paid = (75 * 8) - 562

Total interest paid = 600 - 562

Total interest paid = $38

Therefore, Lori will pay a total of $38 in interest.

c. If the credit card did not have a promotional offer, the interest would have been charged at a rate of 19.7% compounded daily after the promotional period.

To calculate the additional interest, we can use the formula for compound interest:

Additional interest = Initial balance * (1 + interest rate)^Number of months - Initial balance

Additional interest = 562 * (1 + 0.197/365)^(30 * 4) - 562

Calculating this value:

Additional interest ≈ $110.58

Therefore, if the credit card did not have a promotional offer, Lori would have had to pay approximately $110.58 more in interest.

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Population in 20 years is 2654 .So option(2) is correct

A percentage is a percentage of something expressed as a number between 0 and 100 rather than as a fraction. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent.

Given that a population of 1000 people were to increase by 5% every year

We have to determine the population be in 20 years

P = 1000

R = 5

T = 20

Population in 20  years = P[(1+(r/100)]t

= 1000[1 + 5/20]20

= 1000(21/20)20

= 1000 x 2.6538

= 2653

Therefore population in 20 years is 2654

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The values of x in the equation 1/3 * |x - 3| + 4 = 10 are x = 21 and x = -15

The equation statement is given as:

one third times the absolute value of the quantity x minus 3 end quantity plus 4 equals 10

Rewrite the equation as follows:

1/3 * |x - 3| + 4 = 10

Subtract 4 from both sides of the equation

1/3 * |x - 3| = 6

Multiply both sides of the equation by 3

|x - 3| = 18

Expand the equation

x - 3 = 18 and 3 - x = 18

Solve for x in both equations

x = 21 and x = -15

Hence, the values of x in the equation 1/3 * |x - 3| + 4 = 10 are x = 21 and x = -15

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Answer:x=21 and x=-15

Step-by-step explanation:

The standard error is 0.105.

The standard error is an important statistical measure and it is related to the standard deviation. The accuracy of a sample that represents a population is known through this formula. The sample mean deviates from the population and that deviation is known as standard error formula. In statistics, the word sample refers to the specific group of data that is collected. For example, the sample may be the data we collected on the height of players on the school’s team. A population is an entire group from which we take the sample. There are many ways to define a population, and we always need to be very clear about what is the population. Many computations are required for this collection.

In order to determine how well the sample is representing the population, we need to go out and measure the standard error in the specific measurements. Standard Error is telling how well the sample mean estimates the true population means. A large standard error will indicate that there is a lot of variability in the population. A small standard error would mean that the population is in a uniform shape.

Sample space = n = 50

Mean = μ = 1.5

Variance = σ² = 0.56

∴ Standard deviation = σ = √0.56 = 0.748

Standard error =  σ/√n

= 0.748/√50

= 0.105

Thus, the standard error is 0.105.

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Answer:

500

Step-by-step explanation:

Answer:

500

put the 8,000 into the 40,000 mark. you will get a five and if you tried to put it in the last two, you would get 0. 8000*5=40000 so subtract 40,000 and you should get a 0 there. keep putting the zeroes until you get to the end.

Null Hypothesis is the claim that no difference or relationship exists between two sets of data or variables being analyzed.

Type I error: A. Reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when that percentage is actually equal to 55%.

Type II error: D. Fail to reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when the percentage is actually different from 55%.

In statistics, the null hypothesis is a statement that there is no significant difference between two populations or sets of data. It is a hypothesis that is assumed to be true until proven otherwise. The null hypothesis is often denoted as H0 and is used to test the validity of an alternative hypothesis (Ha). The goal of hypothesis testing is to determine whether the evidence supports rejecting the null hypothesis in favor of the alternative hypothesis.

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Answer:

1. D

2. A.

3. D.

The amount of time the tennis ball will be in the air after launch is √2 seconds.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

The height of the tennis ball is given by the function h = - 16t² + 36, where t represents time in seconds.

Now, The amount of time the tennis ball will be in the air can be determined by the time when it hits the ground and at that time height of the ball should be zero.

Therefore, The time in the air is,

0 = - 16t² + 36.

16t² = 36.

t² = 2.

t = + √2 seconds, as time can not be negative.

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Answer:

9

Step-by-step explanation:

13 + 14 = 27

27 / 3 = 9 cans.

For a 90 degrees clockwise rotation,

A' = (y, -x) = (1, -2)

B' = (y, -x) = (3, -3)

C' = (y, -x) = (2, -5)

To plot a triangle onto a coordinate plane, these instructions must be followed:

Begin by drawing x and y axes to establish the necessary framework.

Choose three points upon which to place the vertices of the triangle on the graph.

Then connect the selected points through straight lines, thus resulting in the appearance of three sides; representing each point's distance from one another respectively.

Subsequently attach letter designations such as A, B, and C to each vertex.

Lastly, inspect the measurements of the sides and angles between them to confirm that they correspond with requisites specific to your chosen triangle type (such as an equilateral or Isosceles shape).

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Answer:

Step-by-step explanation:

Answer:

the 3rd one I think hope this helps

Step-by-step explanation:

Answer:

10.7a−8.1b

I hope I helped you!

Answer:

\(x=10\)

Step-by-step explanation:

1) Subtract 10 from both sides of the equation

\(9x+10=11x-10\\9x+10-10=11x-10-10\)

2) Simplify

a. Subtract the numbers

b. Subtract the numbers again

\(9x=11x-20\)

3) Subtract 11x from both sides of the equation

\(9x=11x-20\\9x-11=11x-20-11x\)

4) Simplify

a. Combine like terms

b. Combine like terms again

\(-2x=-20\)

5) Divide both sides of the equation by the same term

\(-2x=20\\\frac{-2x}{-2} =\frac{-20}{-2}\)

6) Simplify

a. Cancel terms that are in both the numerator and denominator

\(\frac{-2x}{-2} =\frac{-20}{-2} \\x=\frac{-20}{2}\)

b. Divide the numbers

\(x=\frac{-20}{-2x} \\x=10\)

Answer:

42

Step-by-step explanation:

ur welcome like 5 star