Write the slope-intercept form of the line that passes through the point (-3, - 6 ) and is parallel to the line y = 5x+4.​

Answer:

k = 21

Step-by-step explanation:

[tex]xy = k\\\\Plugging\: x = 7\: and\: y = 3,\: we\; find:\\7\times 3 = k\\21 = k\\\huge\red{\boxed{k = 21}}\\[/tex]

Answer:

The angle is 36.87°

Step-by-step explanation:

To find the missing angle, we will have to use inverse SOH-CAH-TOA.

Looking at the angle, as well as the two sides, we can infer that the opposite of the unknown angle is 24. Since the given side is not the hypotenuse but the adjacent, we know that we will be using inverse tangent (TOA).

[tex]tan^{1}[/tex] (x) = [tex]\frac{24}{32}[/tex]

x = [tex]tan^{-1}[/tex] ([tex]\frac{24}{32}[/tex])

x = 36.87°

Answer:

≈ 36.9

Step-by-step explanation:

You are given the opposite and adjacent side, leading you to use tan. However, since you're trying to find the angle measurement, and not the side, you use the inverse of tan: [tex]tan^-1[/tex]

Set it up like this:

[tex]tan^-1 (\frac{24}{32})=?[/tex]

When you solve, you get:

36.86

Round to the nearest tenth:

36.9

Answer:

36.5625 cm^2

Step-by-step explanation:

To find volume, you multiply the three dimensions.

Answer:

36.56 cu. cm

Step-by-step explanation:

Volume = base x height x length

Answer:

51cm^2

Step-by-step explanation:

The formula for the area of a parallelogram is : [tex]base*height[/tex]

To work out the area of a parallelogram you would simply multiply the base of 8.5 by the height of 6, this gives you 51cm^2. This is because the formula for the area of a parallelogram is base multiplied by the height.

1) Multiply 8.5 by 6.

[tex]8.5*6=51cm^2[/tex]

Answer:

272

Step-by-step explanation:

8 people on 1 table * 2 awards= 16 awards per table

16 awards per table * 17 tables = 272

Hope that breaks it down for you. Good luck with homework

Answer:

272 awards

Step-by-step explanation:

Step 1: 8 x 17= 136 (Find how many guest arrived)

Step 2: 136 x 2= 272 (Multiply guest by awards per guest)

Enjoy the answer.

Just solve the equation

Given:

-2(3a+1) = 5(1+a)

-6a - 2 = 5 + 5a

11 a = -7

a = -7/11

Answer:

a = -7/11

Step-by-step explanation:

Distribute -2 and 5 through the parentheses, -6a - 2 = 5 + 5a

Move the Variable and constant  to a proper side, -6a - 5a = 5 + 2

Calculate like terms, -11a = 7

Divide both sides of the equation by -11, a = -7/11

Final answer, a = -7/11

Answer: -19

Step-by-step explanation: when ur adding two negatives it's gonna equal a negative

Answer:

y = -70

Step-by-step explanation:

    212 - y = 282

212 - 282 = y

         -70 = y

            y = -70

Answer:

Step-by-step explanation:

The Standard Deviation is defined as

[tex]\sigma =\sqrt{\frac{\Sigma (x_{i} -\mu)^{2} }{N-1} }[/tex]

Where [tex]\sigma[/tex] is the standard deviation, [tex]\mu[/tex] is the mean and [tex]N[/tex] is the total number of data.

So, first, we need to find the mean of the data set.

[tex]\mu = \frac{10+11+12+10.5+11.25+12.25+10}{7} =11[/tex]

Now, we have to subtract each data with the mean to then elevate the differnece to the square power.

[tex]10-11 = -1 \implies (-1)^{2}=1\\ 11-11 = 0 \\12-11 = 1 \implies 1^{2}=1\\ 10.5-11 = -0.5 \implies (-0.5)^{2} =0.25\\11.25 - 11 = 0.25 \imples (1.25)^{2}=0.0625\\12.25 - 11 = 1.25 \implies (1.25)^{2}=1.5625\\10-11 = -1 \implies (-1)^{2}=1[/tex]

Then, we sum all these results.

[tex]\Sigma (x_{i}- \mu )^{2}=1+0+1+0.25+0.0625+1.5625+1=16.278[/tex]

Next, we divide the sum by [tex]N-1=7-1=6[/tex]

[tex]\frac{\Sigma (x_{i}-\mu )^{2} }{N-1}=\frac{16.278}{6} \approx 2.713[/tex]

Finally, we apply the square root.

[tex]\sigma = \sqrt{2.713} \approx 1.65[/tex]

Therefore, the standard deviation for the given data set is 1.65.

Step-by-step explanation:

Try using Pythagoras theorem. a^2+b^2=c^2. in this triangle c would be the length you are finding. substitute the other lengths into the equation.

Answer:

7(10+5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

8hz

Answer: 48, 52

Step-by-step explanation:

The sum of the two numbers (x, y) is 100. This means that;

x+y=100

Their difference is 4, so;

y=x+4

Now, you can substitute that in for y;

x+(x+4)=100

Simplify;

2x+4=100

2x=96

x=48

Now, we plug in the value of x to the second equation;

y=48+4

y=52

Answer:

48 and 52

Step-by-step explanation:

We have a pair of simultaneous equations and will solve these using substitution.

x + y = 100 (1)

x - y = 4 (2)

Solve for x:

x+y=100 , x - y = 4

x=52

Substitute x with 52

(52) + y = 100  , (52) - y = 4

Simplify:

y = 48

Answer & Step-by-step explanation:

y = 2x - 3

-x - 8y = 7

Since, we have a equation for y, then we can substitute this equation for y to solve for x.

-x - 8(2x -3) = 7

-x - 16x + 24 = 7

-17x + 24 = 7

-17x = -17

x = 1

So, since we know that x is equal to 1, then we can plug in this number for the equation of y to find y.

y = 2(1) - 3

y = 2 - 3

y = -1

So, the solution is (1, -1). X equals 1 and y equals -1.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

-18y = (-1) * 3 * 3 * 2 * y

-27 = (-1) * 3 * 3 * 3

Common factors = (-1) * 3 * 3 = - 9

-18y - 27 = -9*2y - 9 * 3

             =(-9) [2y + 3]

Answer:

It's the first one.

Step-by-step explanation:

The first one cannot be folded into a square because of its shape. This question is more of an IQ question so it's not really something you can teach to someone else, but I hope this helps and that you will get it!

Answer:

D

Step-by-step explanation:

4/3 * pi * r^3 is the formula.

Hey!!!!

Here's your answer:

Solution:

A={2,3,4,5}

B={5,6,7,8}

A U B={2,3,4,5} U {5,6,7,8}

={2,3,4,5,6,7,8}

In case of Union,we have to list all the elements which are present in both sets.

Hope it helps...

Good luck on your assignment

Answer:

C = 2*3.14*10 = 62.8 cm = P of square

Area=1/16 * p2

=

246.49 cm2

So the right answer is 71 degree

Look at the attached picture

Hope it will help you

good luck on your assignment

Answer: They are all of the above.

Step-by-step explanation: A integer is a whole number, a whole number is a integer and a natural number is a whole number. The definition of a whole number is a number with no fractions, the definition of a integer is a number with no fractions, and the definition of a natural number is a positive number.

Answer: D (-/ 13 - -/11) those are supposed to be square root signs lol^^

Step-by-step explanation:

Answer: The total price of the groceries, including discount and tips $110.4

Step-by-step explanation:

Answer:

a

Step by step explanation:

maybe

Answer:

112

Step-by-step explanation:

multiply the mass value by 16

Answer:

112 ounces are in 7 pounds

Step-by-step explanation:

because there are 16 ounces in 1 pound if you multiply 16 by 7 you will get 112 oz.

Well, if a = -1 and b = 4 then when we plug in the values of a and b into the expression we get:

[tex]13(-1)^{-3}\cdot4^{-1}[/tex].

Then simplify it:

[tex]-13\cdot1/4=-\frac{13}{4}[/tex].

The answer is A.

Hope this helps.

Step-by-step explanation:

Step 1:  Substitute -1 for a and 4 for b

[tex]13 * (-1)^-^3 * (4)^-^1[/tex]

[tex]13 * (-1) * \frac{1}{4}[/tex]

[tex]-\frac{13}{4}[/tex]

Answer:  Option A, [tex]-\frac{13}{4}[/tex]

is it

(x+3)² - x?

I may be wrong x

Answer:

77

Step-by-step explanation:

Answer:

To calculate the balance after 6 years with monthly compounding, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

Where:

A = the final amount (balance) after t years

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case:

P = $1500

r = 4% = 0.04 (as a decimal)

n = 12 (compounded monthly)

t = 6 years

Plugging in the values, we get:

A = 1500 * (1 + 0.04/12)^(12*6)

Calculating the right-hand side:

A = 1500 * (1 + 0.003333)^72

A = 1500 * (1.003333)^72

A ≈ 1500 * 1.265032

A ≈ $1897.55

Therefore, the balance after 6 years with monthly compounding, rounded to the nearest cent, is approximately $1897.55.