the point (3, 4) is plotted on the coordinate plane below.




What are the coordinates of the point after a 90° counterclockwise rotation about the origin followed by a translation 4 units to the left?

A.
(-1, 4)
B.
(-4, 3)
C.
(0, 3)
D.
(-8, 3)

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Answer:

answer: y+2/3x+5

Step-by-step explanation:

because

Answer:

17

Step-by-step explanation:

34 / 2 = 17

Answer:

11/13

Step-by-step explanation:

4 out of the 26 marbles are blue, meaning that the rest of the 22 marbles are not blue. (26-4=22)

This means that out of the total 26, the chance of not picking a blue marble are 22/26=11/13

Answer:

Step-by-step explanation:

oto begin you should know that all triangles contain 180 degrees and that a flat line contains 180 degrees as well. This means that in order to find this answer you should begin by calculating the remianing angle in the traingle. This is done by 180-(95+51) and gives and angle of 34 degrees. Then take 180-(95+35) in order to get x. This gives an x of 51.

Hope this helps!

Answer:

146°

Step-by-step explanation:

1) 180-51-95 = 34 All the angles in a triangle add up to 180.

2) A straight line is 180, so x = 180 - the interior angle.

3) We figured out in step #1 that the interior angle is 34, so all we have to do now is substitute that into step #2

4) x = 180-34 = 146

Answer:

At least a 94

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The triangle is a right triangle, so the length of r can be found using the Pythagorean theorem.

  r = √(14.2² +7.15²) = √252.7625

  r ≈ 15.8985 ≈ 15.90 . . . meters

__

The angles can be found from the tangent relation.

  Tan = Opposite/Adjacent

  tan(P) = 14.2/7.15

  P = arctan(14.2/7.15) ≈ 63.2738° ≈ 63.27°

Angle Q is the complement of angle P.

  Q = 90° -63.27° = 26.73°

Answer:

-2

Step-by-step explanation:

formula: (-4)-8/6-0 or 8-(-4)/0-6

=-12/6

=-2 (hope this helps)

Answer:

2.30 :) hope this helps!!!!!!! :)

Step-by-step explanation:

w = wheat     c = corn    r = rye

6w + 3c + 6r = 45.90

3w + 6c + 6r = 49.20

6w + 6c + 3r = 41.40

since you want the answer for c, manipulate then add 2 equations that will get rid of 1 variable:

if we multiply the first equation by -1 then add it to the second equation, it will eliminate the r

-6w -  3c -  6r = - 45.90

3w + 6c + 6r =   49.20

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

- 3w +3c  =      3.30    or     w - c = - 1.10

If we multiply the 3rd equation by -2 then add it to the first equation, it will eliminate the  r  again:

-12w - 12c -  6r = - 82.80

  6w + 3c + 6r =    45.90

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

- 6w - 9c         =  - 36.90   or       2w + 3c  =   12.30

now we have 2 equations and 2 variables that we can solve by substitution:

w = c - 1.10

2(c - 1.10)  + 3c = 12.30

2c - 2.20 + 3c   =   12.30

5c = 14.50

c = 2.90      

w = c - 1.10   or  1.80

3r = 41.40 - 6(1.80) - 6(2.90)

3r = 13.20    r = 4.40

I will pick the 2nd equation to check my answers :)!

3(1.80) +  6(2.90)  + 6(4.40)  = 49.20

5.40 + 17.40 + 26.40 =  49.20

As per linear equation, the price per bushel for corn is $22.8.

A linear equation is an equation that has one or multiple variable with the highest power of the variable is 1.

Given, a grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $228.

To another customer, he sold 2 of wheat, 3 of corn, and 5 of rye, for $228.

To a third customer, 3 of wheat, 5 of corn, and 2 of rye, for $228.

Let, per piece of wheat is of $x.

Per piece of corn is of $y.

Per piece of rye is of $z.

Therefore, 5x + 2y + 3z = 228 ....(1)

2x + 3y + 5z = 228 .........................(2)

3x + 5y +2z = 228 ..........................(3)

Multiplying equation(1) by '2' and equation(2) by '5' and substract, we get:

2(5x + 2y + 3z) - 5(2x + 3y + 5z) = 2(228) - 5(228)

⇒ (10x + 4y + 6z) - (10x + 15y + 25z) = - 3(228)

⇒ (- 11y - 19z) = - 684

⇒ 11y + 19z = 684 ......(4)

Multiplying equation(2) by '3' and equation(3) by '2' and substract, we get:

3(2x + 3y + 5z) - 2(3x + 5y +2z) = 3(228) - 2(228)

⇒ (6x + 9y + 15z) - (6x + 10y + 4z) = 228

⇒ - y + 11z = 228 .......(5)

Now, multiplying equation(5) by '11' and then add with equation (4), we get:

 11y + 19z + 11(- y + 11z) = 684 + 11(228)

⇒ 140z = 3192

⇒ z = 22.8

Putting the value of 'z' in equation (5) we get:

- y + 11(22.8) = 228

⇒ y = 22.8

Now, putting the values of 'y' and 'z' in equation (1), we get:

5x + 2(22.8) + 3(22.8) = 228

⇒ 5x = 114

⇒ x = 22.8

Learn more about linear equation here: https://brainly.com/question/22990272

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Answer:

The midpoint of (5,23) and (-2,2) is (3/2,25/2)

hope that helps

Step-by-step explanation:

Answer:

-3/8

Step-by-step explanation:

nothing can be simplified further

Answer:

106

Step-by-step explanation:

this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1)  where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference

a(20) = 49 + 3(20-1)

= 49 + 3(19)

= 49 + 57

= 106

Answer:

24 different options

Step-by-step explanation:

3 cake type options

2 frosting options

4 radius sizes

3 * 2 * 4 = 24 different options

Answer:

90°-33°=57°

57=2x+1

-1. -1

56=2x divide both sides by 2

28=x

x =28

Answer:

x = 28

Step-by-step explanation:

Both of these would add up to 90 degrees.

Equation                              → 2x + 1 + 33 = 90

Add like terms                     → 2x + 34 = 90  

Subtract both sides by 34  → 2x + 34 - 34 = 90 - 34

Divide both sides by 2        → 2x = 56

                                              → x = 28

hope this helps! :)

Answer:

X=14

Step-by-step explanation:

Hope this helps , good luck ^^

Please put how many pizzas there are and how much money he has (please put the full question)

Answer:

60

Step-by-step explanation:

Plug it into the calculator

Answer:

(-1,-2)

Step-by-step explanation:

For a point (a,b) rotated 90° counterclockwise about the origin, it's new coordinates are (-b,a).

So since C is originally (-2,1), it's new coordinates are (-1,-2)

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.29[/tex]

We want to test the hypothesis that this is true, so the alternate hypothesis is:

[tex]H_{a}: p \neq 0.29[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that [tex]\mu = 0.29, \sigma = \sqrt{0.29*0.71}[/tex]

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that [tex]n = 100, X = 0.21[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}[/tex]

[tex]z = -1.76[/tex]

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Answer:

$43.20 total

$3.20 sales tax

Explication:

40*1.08=43.2

Answer:

sales tax = $3.20

total cost = $43.20

Step-by-step explanation:

To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).

Sales tax percent: 8%

In decimal form: 0.08

Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,

(item_price) * (sales_tax)

= (40) * (0.08)

= 3.2

Sales tax amount: $3.20

To find the total cost of the product, add the sales tax amount to the item price,

(item_price) + (sales_tax_amount)

= 40 + 3.20

= 43.20

Answer:

4 bouquets

Step-by-step explanation:

5/5 = 20 flower bouquets.

Find out how much flower bouquets there are when it's 1/5.

5/5 = 20

1/5 = 20 ÷ 5 = 4

Since tulips are 1/5 as 5/5 - 4/5 = 1/5, 4 bouquets are tulips.

Answer:

330.555556%

Step-by-step explanation:

1.19/.36=3.3305555555555555555555555555

therefore it is 330.5555%

Answer:

.....................

Step-by-step explanation:

As an economic indicator. The CPI is the most widely used measure of inflation and is sometimes viewed as an indicator of the effectiveness of government economic policy.

Answer:

-2.03, 2.03

Step-by-step explanation:

The degree of freedom (df) ;

Df total for the two samples = 35

Therefore, obtuaking the critical value using a T-test distribution at 95% confidence level.

(1 - 95%) / 2 = (1 - 0.95) / 2 = 0.05 / 2 = 0.025

Using a T critical value calculator or t table distribution ;

Tcritical, 0.025, df = 35 = 2.03

Left tail = - 2.03

Right = 2.03

Hence, critical cutoff :

(-2.03 ; 2.03)

Answer:

1/12

Step-by-step explanation:

He has a 1/4 pan left and wants to divide that into 3 equal pieces. So in night he will eat 1/3 of what he has left from the 1/4 pan. To figure out how much one slice is from an entire pan:

1/4 * 1/3  = 1/12

Answer:

Translated down 8 units or C

Step-by-step explanation:

Answer:

X=9

Step-by-step explanation:

Well since its a vertical angle, vertical angles are equal Or congruent.

So they equal the same so technically

3x+8=35

Solve

x=9

Answer:

x=9°

vertically opposite Angles are equal therefore (3x+8°)=35°

then 3x=35-8

3x=27

x=9

Answer:

80-foot pounds

Step-by-step explanation:

As per the given data, the work needed to move the 40 pound box a distance of 2 feet is 79.86 foot-pounds.

In physics, work is defined as the product of force and displacement, where force is the applied force and displacement is the distance moved by the object in the direction of the applied force.

To calculate the work needed to move a 40 pound box a distance of 2 feet, we need to use the formula:

Work = Force x Distance x Cos(theta)

where Force is the amount of force applied to move the box, Distance is the distance moved, and Cos(theta) is the cosine of the angle between the force vector and the direction of motion.

Assuming that the force is applied in the same direction as the motion, the angle between the force vector and the direction of motion is 0, and thus Cos(0) = 1. Therefore, the formula simplifies to:

Work = Force x Distance

We are given that the box has a weight of 40 pounds. Since weight is a type of force, we can use the formula:

Force = Mass x Acceleration due to gravity

where Mass is the mass of the box and Acceleration due to gravity is the gravitational acceleration constant, which is approximately 32.2 feet per second squared.

Converting the weight of the box from pounds to slugs (the unit of mass in the English system of units) gives:

Mass = Weight / Acceleration due to gravity = 40 pounds / 32.2 feet per second squared = 1.24 slugs

Therefore, the force required to move the box is:

Force = Mass x Acceleration due to gravity = 1.24 slugs x 32.2 feet per second squared = 39.93 pounds-force

Finally, we can calculate the work needed to move the box a distance of 2 feet as:

Work = Force x Distance = 39.93 pounds-force x 2 feet = 79.86 foot-pounds

Therefore, the work needed to move the 40 pound box a distance of 2 feet is 79.86 foot-pounds.

For more details regarding work done, visit:

https://brainly.com/question/13662169

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