Write an equation in slope-intercept form of the line perpendicular to y = -1/5 + 1/4 that passes through the point (3, 4).

Answer:

2. m∠1 = 129°

3. m∠1 = 37°

Step-by-step explanation:

We know that the sum of all interior angles in a triangle adds up to 180°.

2. To find measure 1 for problem 2, we can see that ∠1 is a supplementary angle with the interior angle in side

180°-(67°+62°)

180°-129°

51°

Now that we found the missing interior angle, we can find ∠1

180°-51° = 129°

m∠1 = 129°

3. Same thing as well for this problem except we're going to be going reverse we need to find the supplementary angle first, then we can find m∠1.

180°-152° = 28°

Now that we found the interior angle, we can find m∠1

180° - (115°+28°)

180°-(143°)

37°

m∠1 = 37°

Answer:

c = 15x + 10 or 15x + 10 = c

Step-by-step explanation:

15x (number of  t-shirts) plus the shipping fee

Answer:

98/2

Step-by-step explanation:

The numbers in 14 divided by 2/7 are labeled below:

14 = whole number

2 = numerator

7 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

14 x 7

2

 =    

98

2

Thus, the answer to 14 divided by 2/7 in fraction form is:

98

2

To make the answer to 14 divided by 2/7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

98 / 2 = 49

The answer is rounded to the nearest two decimal points if necessary.

98/2 can be simplified to 49/1.

49/1 is an improper fraction and should be written as 49.

the simplest form of 14 divided by 2/7 is 49.

To divide 14 by 2/7, we can convert the division operation into multiplication by taking the reciprocal (flipping) of the divisor. The reciprocal of 2/7 is 7/2. So, we have 14 multiplied by 7/2.

To simplify this further, we can cancel common factors between the numerator of 14 and the denominator of 2. Both 14 and 2 share a common factor of 2. Dividing both by 2, we get 7 and 1 respectively.

Therefore, the division 14 divided by 2/7 simplifies to 7 multiplied by 7/1, which equals 49. Thus, the simplest form of 14 divided by 2/7 is 49.

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I CAN'T UNDERSTAND PLEASE REPEAT THE QUESTION

Answer:

An acute angle

Is there any answer choices??

Answer:

B

Step-by-step explanation:

It correctly represents the situation as it shows that for each adult, you pay 29.35 more and 17.45 for each child.

Answer:

22 feet per second

Step-by-step explanation:

The speed on the zip line is 22 feet per second.

let's use the conversion rate below

1 miles  = 5280 foot

1 hour = 3600 seconds

The  rate is measured in miles per hour. Let's convert it to feet per seconds. Therefore,

Let convert the distance first

1 miles  = 5280 foot

15 miles = ?

cross multiply

distance in miles = 5280 × 15 = 79200 foots

let convert the hours to seconds

3600 seconds = 1 hour

Therefore,

speed in foot per seconds = 79200 / 3600 = 22 ft/secs

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Answer:

$29.01

Step-by-step explanation:

According to my calculations, an item with an original price tag of $82.88 that is marked down by 35% will have a sales price of $53.87 -- a savings of $29.01.

(1 - (30 / 100)) * $30.00

Sale Price = (1 - 0.30) * $30.00

Sale Price = 0.70 * $30.00

Sale Price = $21.00

Answer:

The correct answer is -28.24

Answer:

x=3

Step-by-step explanation:

with pemdas (x=3+2=5) because you do parenthesis first then you would do that x3 which would be 15.

9514 1404 393

Answer:

  40 units²

Step-by-step explanation:

You can figure the side lengths using the distance formula, or you can use a formula for finding area from coordinates. The latter looks like ...

  [tex]\displaystyle A=\dfrac{1}{2}\left|\sum\limits_{k=1}^n{x_k(y_{k-1}-y_{k+1})}\right|\qquad\text{where $y_0=y_n$ and $y_{n+1}=y_1$}[/tex]

So, the area is ...

  A = (1/2)|(-6(-5-1) +2(-1-7) +2(1-3) +3(7+3) +3(3+5) -5(-3+1)|

  = (1/2)|36 -16 -4 +30 +24 +10| = (1/2)(80)

 A = 40

The area of the figure is 40 units².

Answer:

She delivers 6 pizzas in 1 hour

She delivers 30 pizzas in 5 hours

Step-by-step explanation:

1 hour = 6 pizza deliveries

30 pizza deliveries = 5 hours

Answer:

−21.573x

Step-by-step explanation:

simplify it

Answer:

Unit rate: 56.67 miles per hour

9 hours: 510 miles

plz mark brainliest :DD

Answer:

1. 56.66666667

2.504

Step-by-step explanation:

Answer:

B, C and E

Step-by-step explanation:

(5x+6)/2=3-(4x+12)

(5x+6)/2=-4x-9

5/2x+3=3-(4x+12)

5x+6=-8x-18

Step-by-step explanation:

Given the values  9.657 and 6.475. Before we can know how much smaller is the 7 in the second number compare to the first, we need to get their place values first.

For 9.657

The place value of 7 in this value is 7 thousandth

7 thousandth = 7/1000 = 0.007

For 6.475

The place value of 7 in this value is 7 hundredth

7 hundredth= 70/1000 =7/100 = 0.07

Hence the value of 7 in the first is smaller that that of the second.TO know by how much, we will take the ratio of the two values

Find their ratios:

0.07/0.007 = 7/100 ÷ 7/1000

= 7/100×1000/7

= 7000/700

= 10

This means that the place value of 7 in 9.657 is 10 times smaller than the value of 7 in 6.475

The equation of the line that passes through the point (-6, -2) and has a slope of -1/6 will be y = -(1/6)x - 3.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope is - 1/6. Then the equation is given as,

y = -1/6 x + c

The equation passes through (-6, -2). Then we have

-2 = - (1/6) (-6) + c

- 2 = 1 + c

c = - 3

Then the equation is given as,

y = - (1/6)x - 3

The equation of the line that passes through the point (-6, -2) and has a slope of -1/6 will be y = -(1/6)x - 3.

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Answer:

Possibly A, cause you didn't give the first number.

Answer:

12000

Step-by-step explanation:

If you mean one side of the stepping stone is 20 inches then you would multiply 20 by 20 to get the area of one, since that would be multiplying length times width (the area formula). The area of one would result in 400 and you would then multiply this by the thirty tiles (400 times 30) to get 12000.

Answer:

12000

Step-by-step explanation:

Answer:

Use your calculator, its 57 meters.

Step-by-step explanation:

380/20 = 19

19x3=57

The p-value for the test statistic: [tex]Z_o=-1.96[/tex] is 0.025.

In statistics, the p-value is a measure that quantifies the strength of evidence against a null hypothesis. It represents the probability of observing a result as extreme as, or more extreme than, the one obtained in a statistical test, assuming that the null hypothesis is true.

The null hypothesis, denoted as H₀, represents the default or initial assumption that there is no significant difference or relationship between variables or no effect of a treatment. The alternative hypothesis, denoted as H₁, suggests the existence of a significant difference or relationship.

The p-value for the test statistic: [tex]Z_o=-1.96[/tex]:

p-value = P{[tex]Z_o < -1.96[/tex]}

             = 0.025.

So, the required p-value is 0.025.

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The complete question is given below:

For The Hypothesis Test H0:-7 Against H 1: 7 And Variance Known, Calculate The P Value For The Following Test Statistic: [tex]Z_o < -1.96[/tex]. Round your answer to three decimal places (e.g. 98.765).

Answer: y=-5x+2

Step-by-step explanation: Luckily for you, they already pretty much gave you all the information you need for this problem. Keep in mind that the standard form for linear equations is y=mx+b, where m is slope and b is figure 0, or the y-intercept. So, all you have to do is substitute the values for the given information. You know that -5 is the slope, m, and (0,2) is the y-intercept, or b (you know that this is the y-intercept because x is at zero). So, you'd be left with y=-5x+2.

Hope this helps,

Lacia :)

Complete Question

Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places

           x        1        2         3           4          5

         P(x)      0     0.31     0.12     0.23       0.4

Answer:

The value is  [tex]\sigma = 0.89[/tex]

Step-by-step explanation:

From the question we are told that

  The probability distribution is  

           x        1        2         3           4          5

         P(x)      0     0.31     0.12     0.23       0.4

So

           [tex]x^2[/tex]     1           4         9          16           25  

Generally the mean is mathematically represented as

            [tex]E(X) = \sum [x * P(x)][/tex]

=>         [tex]E(X) = (1 * 0) + (2 * 0.31 ) + (3 * 0.12 ) + (4 * 0.23) + (5 * 0.4 )[/tex]

=>         [tex]E(X) = 3.9[/tex]

Generally  

      [tex]E(X^2) = \sum [X^2 * P(x)][/tex]

=>   [tex]E(X^2) = (1 * 0) + (4 * 0.31 ) + (9 * 0.12) + (16 * 0.23) + (25 * 0.4)[/tex]

=>   [tex]E(X^2) =16[/tex]

Generally the variance of this probability distribution is

      [tex]V(X) = E(X^2) - [E(X)]^2[/tex]

     [tex]V(X) = 16 - 3.9^2[/tex]

    [tex]V(X) = 0.79[/tex]

Generally the standard deviation of this probability distribution is  

       [tex]\sigma = \sqrt{V(x)}[/tex]

=>    [tex]\sigma = \sqrt{0.79}[/tex]

=>    [tex]\sigma = 0.889[/tex]

Answer:

4

Step-by-step explanation:

The slope-intercept form of the equation is y = (4/5)x -1.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that slope=4/5 passing through (5,3). The equation of the line can be written as,

y = mx + c

3 = ( 4 x 5/5) + c

c =-1

The equation will be:-

y = mx + c

y = (4/5)x -1

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