What is the value of x?
What is the value of z?
What is tue value of y?

Answer:

1024 sq inches

Step-by-step explanation:

Surface area is the area of all added together.

So: 2(24 * 10 + 10 * 8 + 24 * 8)

2(240 + 80 + 192)

Answer: 1024

Answer:

Step-by-step explanation:

Remark

This is a cosine law problem.

a = 12

b = 15

C = 83

Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.

Formula

c^2 = a^2 + b^2 - 2ab*cos(C)

Solution

c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)

c^2 = 144 + 225 - 360 * cos(83)

cos(83) = 0.1219

c^2 = 144 + 225 - 360 * 0.1219

c^2 = 369 - 43.884

c^2 = 325.116

sqrt(c^2) = sqrt(325.116)

c = 18.031

To the nearest tenth, the answer is 18.0 and you must include the 0.

Answer:

yes, 29 is a monomial

Step-by-step explanation:

Answer:

reduced traffic on the road

Step-by-step explanation:

just took the test :)

Answer: C) Reduced traffic on the road

Step-by-step explanation: Ive taken this test

Answer:

Answer in attachment photo

Answer:

33x2=66

66+3=69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

PEMDAS their are no parenthesis no exponents but their is multiplication 33 times 2 is 66 their is addition 66 plus 3 is 69

uhm... I’m sorry I don’t actually know the answer to your question but I’m trying to get some points...

Answer:

x = -11

Step-by-step explanation:

−3x + 6 = 39

-3x = 33

x = -11

Step-by-step explanation:

-3x+6=39

-3x=39-6

-3x=33

x=33/-3

x=11

Answer:

I think u add those numbers up because it's saying figure out the volume below. it must be adding.

Step-by-step explanation:

so just separate the shape into 2 . then you will have one cube 8×8×8 and a rectangle 9×4×8 find the volume of both and then add them together

Answer:

We expect 17.82, that is, approximately 18 people to be universal donors.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are universal donors, or they are not. The probability of a person being an universal donor is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Only about 6.6% of the American population has O-negative blood.

This means that [tex]p = 0.066[/tex]

If 270 unrelated people give blood in a certain week, how many of these people do we expect to be universal donors?

This is E(X) when [tex]n = 270[/tex]. So

[tex]E(X) = np = 270*0.066 = 17.82[/tex]

We expect 17.82, that is, approximately 18 people to be universal donors.

Answer:

13

Step-by-step explanation:

plug in the numbers

-2(-3) + 7 = ?

6 + 7 = ?

13

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

-12.6

Step-by-step explanation:

Answer:

a) P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]

b) P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]

Step-by-step explanation:

Given - You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling an odd number is  and the probability of rolling an even number is  , though the probability rolling of each odd number is the same, and the probability of rolling each even number is the same.

To find - What is the probability of:

                a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.

                b) the sum of both dice adding up to 4.

Proof -

The sample space , S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

                                          (2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

                                          (3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

                                           (4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

                                           (5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

                                            (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }

Now,

Given that , Dice 1 is fair

⇒P₁(1) = P₁(2) = P₁(3) = P₁(4) = P₁(5) = P₁(6) = [tex]\frac{1}{6}[/tex]

Also,

Given Dice 2 is unfair

⇒P₂(1) = P₂(3) = P₂(5) = [tex]\frac{2}{3}.\frac{1}{3} = \frac{2}{9}[/tex]

    P₂(2) = P₂(4) = P₂(6) = [tex]\frac{1}{3}.\frac{1}{3} = \frac{1}{9}[/tex]

Now,

a)

P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = P₁(1)P₂(5) + P₁(2)P₂(5) + P₁(3)P₂(5)

= P₂(5) [ P₁(1) + P₁(2) + P₁(3) ]

= [tex]\frac{2}{9}[/tex] [ [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] ] =  [tex]\frac{2}{9}[/tex][tex][\frac{3}{6} ][/tex] = [tex]\frac{1}{9}[/tex]

⇒P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]

b)

P( the sum of both dice adding up to 4) = P₁(1)P₂(3) + P₁(2)P₂(2) + P₁(3)P₂(1)

                                                                   = [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex]  + [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{9}[/tex] + [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex]   =  [tex]\frac{5}{54}[/tex]

⇒P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]

Answer:

3x² - 7

Step-by-step explanation:

3 times (number squared) and sum with (-7)

3 times x² and add (-7)

3x²  + (-7)

3x²  -  7

Answer:

180 sq.cm

Step-by-step explanation:

A = 10 x 10 + 16 x 5 x 1/2 x 2

A = 100 + 16 x 5

A = 100 + 80

A = 180 square cm

Hope that helps!

Answer:

The first answer one is true

Answer:

8

Step-by-step explanation:

We know that ABD is 30 degrees. To find BC, we need to use sin.

Equation:

BC = 16*sin(30 degrees) I recommend using a calculator to find the sine if you don't know what it means and how to use it. Sine is basically the side length opposite of the angle over the hypotenuse of the right triangle.

BC = 16*0.5

BC = 8

Sorry, I couldn't find an image.

Hope this helps!

Answer:

[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Area - Integrals

U-Substitution

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

F: y = √(15 - x)

G: y = √(15 - 3x)

H: y = 0

Step 2: Find Bounds of Integration

Solve each equation for the x-value for our bounds of integration.

F

G

This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.

We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).

Step 3: Find Area of Region

Integration Part 1

Step 4: Identify Variables

Set variables for u-substitution for both integrals.

Integral 1:

u = 15 - x

du = -dx

Integral 2:

z = 15 - 3x

dz = -3dx

Step 5: Find Area of Region

Integration Part 2

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

The bill cost is directly proportional to the calling time.

In this exercise we need to check if the cost of the phone bill (y), in US dollars, is directly proportional to calling time (x), in minutes. Then, the following model has to be fulfilled:

k = y / x

Where k is the constant of proportionality, in US dollars per minute.

The bill model is directly proportional if and only if the constant of proportionality is the same for every pair of values:

k₁ = 12 / 80

k₁ = 3 / 20

k₂ = 9 / 60

k₂ = 3 / 20

There, the bill cost is directly proportional to the calling time.

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#SPJ1

Answer:

-8.45, 0.95, 8.25

Step-by-step explanation:

The easiest way to do this is to convert the fraction to a decimal, and then compare the values.

8 8/32 is equal to 8 and 1/4. Because 1/4 = 0.25, 8 and 8/32 equals 8.25.

Now, let's compare values.

Numbers we need to compare: -8.45, 0.95, 8.25

The smallest number is -8.45, then 0.95, and lastly, 8.25.

Thus the answer is

-8.45, 0.95, 8.25

Answer:

64inches.

Step-by-step explanation:

Let x represent the length of entire rope.

Division Equation:

\frac{x}{4}  = 16

\frac{x}{4} X 4 =16x4 (Multiply each side by 4)

x=64

Answer:

A, E, G

Step-by-step explanation:

Answer:

A

E

G

Step-by-step explanation:

When you divide A, E, and G with the common factor, they all equal 5 : 9

Answer:

13.5 ft

Step-by-step explanation:

base = 18ft

To find the height, take 75% of 18

To do this, take the decimal form of 75% (which is 0.75) and multiply that by 18:

0.75 x 18 = 13.5

13.5 would be the height

Answer:

13.5?

Step-by-step explanation:

Answer:

30.99

Step-by-step explanation:

31 - 0.01 = 30.99

The function that best models for the data is y = -200 (x-4)^2 + 800.

A function is a mathematical expression that describes how factors are related. In this case, how the price is related to the profit.

The best way to determine this is to solve the expression and verify if the answer is correct.

For example, we know that at 4 (x) dollars, the daily profit is $800 (y). Let's now the different options:

A.

B.

C.

D.

This means B and D are possible options, however, when verified with other results such as $6 the correct one is option D.

Learn more about bakery in: https://brainly.com/question/16421624

The quadratic equation is given by y = -200x² + 1600x - 2400.

The standard form of the quadratic equation is:

y = ax² + bx + c

Where a,b,c are constants.

Let y represent the daily profit for x bread price.

At point (2, 0):

0 = a(2)² + b(2) + c

4a + 2b + c = 0    (1)

At point (4, 800):

800 = a(4)² + b(4) + c

16a + 4b + c = 800    (2)

At point (6, 0):

0 = a(6)² + b(6) + c

36a + 6b + c = 0    (3)

From all the equations:

a = -200, b = 1600, c = -2400

The quadratic equation is given by y = -200x² + 1600x - 2400.

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