What is the slope of the line that contains the points (-2,2) and (3,4)?

Answer:

The lengths of each side are:

a = 4 cm.

b = 7 cm.

c = 8 cm.                

Step-by-step explanation:

To solve this, we will write the equation out of the word problem given in the question, and this is done as follows;

sides of the triangle from smallest to longest = a, b, c

perimeter of the triangle = a + b + c = 19 cm - - - - - - - - - (1)

Length of the longest side is twice that of shortest side; c = 2a - - - - - - (2)

length of longest side is equal to 3 cm less than the sum of the lengths of the other two sides; c = (a + b) - 3  - - - - - - - (3)

therefore:

a + b + c = 19 - - - - - (1)

c = 2a - - - - - - - - - - (2)

c = (a + b) - 3 - - - - - - - - (3)

putting equation (2) into equation (1)

a + b + (2a) = 19

3a + b = 19 - - - - - - (4)

Substituting for c in equation (3) using equation (2)

c = (a + b) - 3 - - - - - - - - (3)  (replacing c with 2a from equation 2)

2a = a + b - 3 (making b the subject)

2a - a = b - 3

∴ b = 2a - a + 3

b = a + 3 - - - - - - -(5)

substituting for the value of b in equation (4), using equation 5

3a + b = 19 - - - - - - (4)  ( replacing b with equation 5)

3a + (a + 3) = 19

4a + 3 = 19

4a = 19 - 3 = 16

∴ a = 16 ÷ 4 = 4

since, we know 'a', calculating for b, using equation 5;

b = a + 3 - - - - - - -(5) (where a = 4)

∴ b = 4 + 3 = 7

Finally calculating for c, using equation 2

c = 2a - - - - - - - (2) (where a = 4)

c = 2 × 4 = 8

Therefore:

a = 4; b = 7 ; c = 8

Answer:

C Option is the right one. (•‿•)(•‿•)(•‿•)(•‿•)

Answer:

Its B

Step-by-step explanation:

Distribute and do not forget the minus in the middle and the 4 is negative

Answer:

y=35x+20

Step-by-step explanation:

The equation for the given pattern of values is y = 85x - 80, found by determining the slope and y-intercept from the provided data.

The task is to find an equation for the pattern given by x = 1, 2, 3, 4, 5, and y = 5, 90, 125, 160, 195, which we can determine by using the equation for a line, y=mx+b.

To find m, the slope, we calculate the change in y divided by the change in x between two data points. Based on the given numbers, m = (90-5)/(2-1) = 85.

Once we have m, we substitute a known point (1, 5) into y=mx+b and solve for b, giving b=5- 85*1 = -80. So, our equation for the given pattern is y = 85x - 80.

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Answer:

x=4

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

3x+10−10=22−10

3x=12

Step 2: Divide both sides by 3.

3x/3=12/3

x=4

if i can get brainliest that would be great

Answer:

The answer is : 73.3% (to 1 decimal place)

Step-by-step explanation:

The question is asking us to convert the proportion of a certain amount into percentage, and this is done as shown below:

vacation cost = $2252

amount charged = $1650

%of vacation cost that was charged = X%

∴ X% of 2252 = 1650

[tex]\frac{X}{100}[/tex] × 2252 = 1652

[tex]\frac{2252X}{100} =1650[/tex]

2252X = 165000 (dividing both sides by 2252)

[tex]\frac{2252X}{2252}=\frac{165000}{2252}[/tex]

∴ X = 165000 ÷ 2252

X = 73.3%

Answer:

mrs smith drove 50 miles and mr stein drove 50 mile

Step-by-step explanation:

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Total watches in an inventory = 1000

Number of shipments sent out = 168, 231, 411

So, Remaining inventory of watches would be :

[tex]1000-(168+231+411)\\\\=1000-810\\\\=190[/tex]

New receipts = 21, 145 and 11

So, Number of watches on hand becomes :

[tex]190+(21+145+11)\\\\=367[/tex]

Hence, Third option is correct.

Answer:

Y=5

Step-by-step explanation:

If x = 8 then y = 5

Plug x into the equation and solve

 5x - 2y = 30 <- Rewrite

5(8) - 2y = 30 <- Plug x in

 40 - 2y = 30 <- Simplify

-40          -40 <- Get y alone

        -2y = -10 <- Simplify

            y = 5 <- Divide both sides by -2 to get y

Since all sectors have the same area, the spinner is equaly likely to land on each of them. There are:

Obviously, this implies that there are 11 sectors in total.

So, the spinner will land on a certain color with probability

[tex]p=\dfrac{\text{\# of sectors for that color}}{\text{11}}[/tex]

Use this formula to deduce the probability of green.

Finally, you can multiply the probability of red by 11 to get the expected number of reds in 11 spins.

Answer:

3^-2 = 1/3^2 = 1/9

Step-by-step explanation:

3^4 * 3^-6

Using the properties of exponents

We know that a^b * a^c = a^(b+c)

3^4 * 3^-6 = 3^-2

If we only want positive exponents

We know that a^-b = 1/a^b

3^-2 = 1/3^2  = 1/9

We can also look at it

The negative exponent puts the 3's in the denominator

3*3*3*3 * 1/ (3*3*3*3*3*3)

Canceling

1/ (3*3)

1/9

Answer:

The answer to your question is 6x

Step-by-step explanation:

Data

f(x) = 3x

g(x) = 2x

(g°f)(x) = ?

Process

1.- To find (g°f)(x) substitute the value of f(x) in g(x) and simplify

-Substitution

(g°f)(x) = 2(3x)

-Simplification

(g°f)(x) = 6x

The third choice is correct

Out of the two units, ounce is smaller than pound and both have traditionally been used for different purposes. Whereas ounces are used to measure precious metals and spices as they are required in smaller quantities, pounds are used to measure fruits and vegetables, and interestingly, mass of people also.

The conclusions that can be drawn are 3, two of a direct type and the other of an indirect type.

The direct ones are the values. Team A has an average of 68 points per game, which means that it has a good point average and, in the same way, team B, which has an average of 67, which is still a good point average per game.

The hint is the comparison of both teams, and that is that team A is one point above team B, which in terms of points per game makes them better.

Answer:

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

Explanation:

The following multiple choice responses are provided to complete the question:

A) The Pearson correlation results should be reported because it shows a stronger correlation with a smaller p-value (more significant).

B) The Pearson correlation results should be reported because the two variables are normally distributed.

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

D) The Spearman correlation results should be reported because the p-value is closer to 0.0556.

Further Explanation:

A count variable is discrete because it consists of non-negative integers. The number of polyps variable is therefore a count variable and will most likely not be normally distributed.  Normality of variables is one of the assumptions required to use Pearson correlation, however, Spearman's correlation does not rest upon an assumption of normality. Therefore, the Spearman correlation would be more appropriate to report because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 118

p = 118/200 = 0.59

q = 1 - 0.59 = 0.41

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.98 = 0.02

α/2 = 0.02/2 = 0.01

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.01 = 0.9

The z score corresponding to the area on the z table is 2.326. Thus, confidence level of 98% is 2.326

Therefore, the 98% confidence interval is

0.59 ± 2.326√(0.59)(0.41)/200

= 0.59 ± 0.08

The lower boundary is

0.59 - 0.08 = 0.51

The upper boundary is

0.59 + 0.08 = 0.67

The correct option is

B. We are 98​% confident that the true proportion of all students receiving financial aid is between 0. 51 and 0. 67

Answer:

There are 12 cookies (c). It takes 2 hours (h) to bake 1 cookie. How long will it take to bake 12 cookies?

Answer:

MN = 12 units

NP = 16 units

PM = 20 units

Step-by-step explanation:

You can find MN and NP by counting on the graph. To find PM you will need to use the formula a^2 + b^2 = c^2 ( ^ stands for exponent)

MN and NP will be a and b.

Example: 12^2 + 16^2 = c^2

Simplify.

Example:

144 + 256 = c^2

144 + 256 = 400

Then find the square root of 400 which is 20.

To check your work put all of the sides into the formula and it should be true.

Answer:

5.5 seconds

Step-by-step explanation:

The function that gives the height of the object after t seconds falling is:

h = -16t^2 + 484.

To find the time when the object reaches the ground, we just need to use the value of h = 0 in the equation, and then find the value of t:

0 = -16t^2 + 484.

16t^2 = 484

t^2 = 30.25

t = 5.5 seconds

So the object will reach the ground after 5.5 seconds

Answer:

5.5 sec

Step-by-step explanation:

The height h of the object after t seconds is given by the equation

h =- 16 t²+ 484

The height would be zero when the object hits the ground. therefore equating the above equation to zero

0 = - 16 t²+ 484 (solving for t)

16 t²= 484

t² = 484/16

t²= 30.25

taking square root on B.S

t= 5.5 sec

Answer:

She need to cut the string 19 times

Step-by-step explanation:

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

19 cut.

Jill needs to make 19 cuts in the piece of string to have 20 smaller pieces, as each cut adds one additional piece and the first piece does not require a cut.

To determine how many times Jill needs to cut the string to get 20 smaller pieces, we need to understand the relation between cuts and pieces. Imagine having a single piece of string. Once you make a single cut, you now have two pieces.

Therefore, the number of cuts is always one less than the number of pieces you want to have because the first piece does not require a cut.

If Jill wants 20 pieces of string, she will need to make 19 cuts. This is because every cut adds one additional piece to the total count. After the first cut, there are two pieces. After the second cut, assuming she cuts one of those two pieces, there are three pieces, and so on. When she makes the nineteenth cut, she will have twenty pieces.

Answer:

r=1

Step-by-step explanation:

Because the table has the same input and output, the constant of proportionality is 1

Answer:

63

Step-by-step explanation:

3x3= 9x7= 63

The probability that a randomly selected table will have a red tablecloth is 1/4, since there are 4 red tablecloths out of 16 tables.

The question asks for the probability that a randomly selected table will have a red tablecloth given that there are 16 tables and 4 have red tablecloths. To find the probability, we use the formula:

Probability (P) of choosing a red tablecloth = (Number of red tablecloths) / (Total number of tables)

Substituting the given numbers:

P(red tablecloth) = 4 / 16 = 1 / 4

Therefore, the probability is 1/4 or 0.25 when expressed as a decimal.

It is important to round answers to relative frequency and probability problems to four decimal places when required, but in this case, the fraction 1/4 is already as simple as it can be.

Answer:

The parabola would stretch both vertically and horizontally by a factor of 2.

Step-by-step explanation:

I just took the quiz on Edg.

Answer: 4/5 of 45 is 36

Step-by-step explanation: If you were to divide 45 by 5 you would get 9. 9 is 1/5 of 45 so if you multiplied it by 4 you would 4/5 of 45 which is 36.

The ( 4/5 )th of the number is 120 and the equation is ( 30 / 100 ) N = 45 , where N is the number and N = 150

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be represented as N

A = 30% of a number is 45

Substituting the values in the equation , we get

( 30/100 ) N = 45   be equation (1)

Multiply by 100 on both sides of the equation , we get

30 N = 4500

Divide by 30 on both sides of the equation , we get

N = 4500 / 30

N = 150

Therefore , the value of N is 150

Now , ( 4/5 )th of the number be calculated as

Let the ( 4/5 ) of the number be = B

So , the equation will be

B = ( 4/5 ) x 150

B = 4 x 30

B = 120

Hence , the number is 150 and ( 4/5 ) th of the number is 120

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Jen's speed was 1/25 miles per minute or 2.4 miles per hour. This was found by dividing the distance travelled by the time it took.

To find Jen's speed, we need to divide the distance she rode by the time it took her. In this case, Jen rode 1/5 of a mile in 5 minutes. To get her speed in miles per minute, we perform the division:

1/5 mile ÷ 5 minutes = 1/25 miles per minute

This means that Jen's speed was 1/25 miles per minute. You could also convert this to miles per hour if you prefer, by multiplying the result by 60 (since there are 60 minutes in an hour). In that case:

1/25 miles per minute x 60 minutes/hour = 2.4 miles/hour.

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Jen's speed was 1/25 miles per minute, calculated by dividing the distance traveled, 1/5 mile, by the time taken, 5 minutes.

To determine Jen's speed, we would divide the distance she traveled by the time it took her to get there. Jen rode her bike for 1/5 of a mile, and it took her 5 minutes. To find her speed in miles per minute, we perform the following calculation:

Speed = Distance ÷ Time

Speed = (1/5) mile ÷ 5 minutes = 1/5 ÷ 1/5 = 1/25 miles per minute.

We don't need to convert the units since we are asked to provide the answer as a proper fraction. Therefore, Jen's speed was 1/25 miles per minute.

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Answer:

A. Rashid solved the problem correctly.

Step-by-step explanation:

The missing option is given as:

Which is the most accurate description of Rashid’s work?

A. Rashid solved the problem correctly.

B. Rashid multiplied the dividend by the divisor instead of finding the reciprocal.

C. Rashid multiplied the denominators instead of finding a common denominator.

D. Rashid multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Rashid solve the problem correctly as he gave the answer in lowest form.

[tex]\frac{3}{4}[/tex] ÷ [tex]9[/tex]

[tex]\frac{3}{4} *\frac{1}{9} \\\frac{3 * 1}{4 * 9} \\\frac{3}{36} =\frac{1}{12}[/tex]

So, Rashid final answer is correct 3/36 or 1/12

Answer:

Rashid Missed This Step: [tex]\dfrac{3}{4 X 9}[/tex]

Step-by-step explanation:

Rashid solved a fraction division problem using the rule "multiply by the reciprocal."

[tex]\dfrac{3}{4} \div 9\\ =\dfrac{3}{4} X \dfrac{1}{9}\\=\dfrac{3}{36}\\=\dfrac{1}{12}[/tex]

Rashid misses a step which will now be shown below:

[tex]\dfrac{3}{4} \div 9 =\dfrac{3}{4} X \dfrac{1}{9}\\=\dfrac{3}{4 X 9}\\=\dfrac{3}{36}\\=\dfrac{1}{12}[/tex]