4. Which expression is a simplified form of -5(8x)?
a. 40x
b. -40%
C. 3x
d. -40x?

Answer:

a)

b)

Answer:

a.) 12 + 5√2 - 2√6

b.) 24

Step-by-step explanation:

a) √25 + √50 - √24 + √49

Calculate the square root .

Simplify the radical expression.

Combine like terms.

b.) √2 ( 2√8 - 3√32 + 4√50 )

Simplify the radical expression.

Evaluate the power.

Calculate the products.

Combine like terms.

Multiply.

Answer:

The larger number is -6, the smaller number is -15

Step-by-step explanation:

We have two numbers, a and b.

We know that one number is larger than another by 9.

Then we can write:

a = b + 9

then a is larger than b by 9 units.

If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:

(a + 10) + 3*b = -41

So we got two equations:

a = b + 9

(a + 10) + 3*b = -41

This is a system of equations.

One way to solve this is first isolate one variable in one of the two equations:

But we can see that the variable "a" is already isolated in the first equation, so we have:

a = b + 9

now we can replace that in the other equation:

(a + 10) + 3*b = -41

(b + 9) + 10 + 3*b = -41

now we can solve this for b.

9 + b + 10 + 3b = -41

(9 + 10) + (3b + b) = -41

19 + 4b = -41

4b = -41 -19 = -60

b = -60/4 = -15

b = -15

then:

a = b + 9

a = -15 + 9 = -6

a = -6

By definition of conditional probability,

P(B | A) = P(A ∩ B) / P(A)

==>   P(A) = P(A ∩ B) / P(B | A) = 0.15/0.75 = 0.2

By definition of complement,

P(B') = 1 - P(B)

==>   P(B) = 1 - P(B') = 1 - 0.7 = 0.3

Now by the inclusion/exlcusion principle, we have

P(A U B) = P(A) + P(B) - P(A ∩ B)

==>   P(A U B) = 0.2 + 0.3 - 0.15 = 0.35

Answer:

12,6,4,3

Step-by-step explanation:

factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

if you take 12,6,4,3 and add them together they equal 25 which is greater than 21 but less than 30

Answer:

3, 4, 9, and 12

3, 6, 6, and 12

Step-by-step explanation:

First, list out the factors of 36.

1, 2, 3, 4, 6, 9, 12, 18, and 36

The combinations of 4 numbers could be:

9 and 4, and 12 and 3  =  28

6 and 6, and 12 and 3  =  27

Answer:

p^3 - 7p^2q^2 + 2pq

Step-by-step explanation:

3pq +5p^2q^2 + p^3 = p^3 + 5p^2q^2 + 3pq

Let the number be x.

x + p^3 + 5p^2q^2 + 3pq + p^3 - pq

= 3p^3 - 2p^2q^2 + 4pq

x + p^3 + p^3 + 5p^2q^2 + 3pq - pq

= 3p^3 - 2p^2q^2 + 4pq

x + 2p^3 + 5p^2a^2 + 2pq

= 3p^3 - 2p^2q^2 + 4pq

x

= 3p^3 - 2p^2q^2 + 4pq - (2p^3 + 5p^2q^2 + 2pq)

= 3p^3 - 2p^2q^2 + 4pq - 2p^3 - 5p^2q^2 - 2pq

= 3p^3 - 2p^3 - 2p^2q^2 - 5p^2q^2 + 4pq - 2pq

= p^3 - 7p^2q^2 + 2pq

Therefore,

p^3 - 7p^2q^2 + 2pq should be added.

Answer:

Step-by-step explanation:

In  [tex]\frac{rs}{a}=k[/tex] begin by multiplying both sides by a to get

rs = ak  and divide away the s to get

[tex]r=\frac{ak}{s}[/tex]

Answer:

A.

Step-by-step explanation:

85.9 > 85.31 > 85 > 84.52

Dallas, Fort Worth, San Antonio, Austin

Answer:

A: Only (2,3)

Step-by-step explanation:

1. 3-3 = 5(2-2) WORKS! (2,3)

2. 2-3 = 5(3-2) Does not work :(

Answer:

Only A

Step-by-step explanation:

If you plug in x or y into the equation, only (2, 3) works

Hi there!

-10-2 is equal to -12, not -8. This changes everything.

The fraction would be -12/16, which simplifies to -3/4.

I hope this helps!

Answer:

1st red box:

-10 - 2 = -12

2nd box above:

-3

3rd box:

4

Answer:

It's D.  6x^3-5x^2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

4x^3+x^2+2(x^3-3x^2)

4x^3 + x^2 + 2x^3 -6x^2 (Distributed 2 through the parenthesis)

= 6x^3 -5x^2

Answered by Gauthmath

Answer:

3 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hyp

sin 60 = ZY / 6

6 sin 60 = ZY

6 (sqrt(3) /2) = ZY

3 sqrt(3) = ZY

Answer:

2/5

Step-by-step explanation:

slope = rise/run

rise is a vertical distance

run is a horizontal distance

We need to find the rise and run between two points on the line.

Look at the point where the line crosses the y-axis. We need to go to another point on the line by going only vertically and horizontally.

Now start at that point, go 2 units up. The rise = 2. Now turn right and go 5 units to the right. The run = 5. You got to another point on the line.

rise = 2

run = 5

slope = rise/run

slope = 2/5

See the picture below.

Answer:

-x+5

hope this help!!!

Step-by-step explanation:

Answer:

I am currently taking a unit test and I just got this question. I believe it is the answer but I haven't submitted yet.

Step-by-step explanation:

The answer I chose seems to be the only logical answer.

Answer:

The margin of error associated with a 98% confidence interval that estimates the proportion of them that are involved in an after school activity is of 0.1219.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A simple random sample of 49 8th graders at a large suburban middle school indicated that 84% of them are involved with some type of after school activity.

This means that [tex]n = 49, \pi = 0.84[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].  

Margin of error:

[tex]M = 2.327\sqrt{\frac{0.84*0.16}{49}} = 0.1219[/tex]

The margin of error associated with a 98% confidence interval that estimates the proportion of them that are involved in an after school activity is of 0.1219.

Answer:

The graph solution is defined in the attachment file please find it.

Step-by-step explanation:

The first line equation:

[tex]\to Y= 0.22x + 67.5\\\\[/tex]

The second line equation:

[tex]\to Y= 0.15x + 75.507\\\\[/tex]

Intersection points:

[tex]\to (114.387,92.665)\\\\[/tex]

By adding the value of the first year (1970) into the x-value that is

[tex]\to 114.387+1970=2084.387[/tex]

Answer:

Step-by-step explanation:

10 people don’t play volleyball 120-10=110 110 play one or both games 90+72 =162 which is > 110 by 52

There are 52 people who play volleyball as well as football.

Let A, B be two different sets the,

n (A ∪ B) = n (A) + n (B) − n (A ∩ B) .

"A Venn diagram is a diagram that uses overlapping shapes to illustrate the logical relationships between two or more sets."

For given situation:

Let set A: People playing volleyball

set B: People playing football

⇒ n(A) = 90

⇒ n(B) = 72

Given group is of 120 people.

10 people play neither of games.

This means, only 110 people play football or volleyball or both.

⇒ n(A ∪ B) = 110

Using the Inclusion Exclusion Principle,

n (A ∪ B) = n (A) + n (B) − n (A ∩ B)

⇒ 110 = 90 + 72 - n (A ∩ B)

⇒ n(A ∩ B) = 52

Therefore, 52 people play volleyball as well as football.

Venn-diagram for given information is as shown below.

Learn more about Venn diagram here:

https://brainly.com/question/14344003

#SPJ2

Answer:

dx. = yex ⇒ dy y. ∫. = x ... 2 xx dx. ∫. , i.e. yx = 4. 4 x c. +. Hence y = 3. 4 x c x.

Answer:

30

Step-by-step explanation:

Angle PNM = 180-105

                   = 75

IF PM = PN  then

<PNM = <PMN = 75

<PMN + <PNM + <P = 180 since they form a triangle

75 + 75 + x = 180

150+x = 180

x = 180-150

x = 30

Answer:

Step-by-step explanation:

180° - <PNQ = <PNM ( Angles in a straight line )

180° - 105° = 75°

<PMN = < PNM = 75°

<PMN + <PNM + <MPN = 180°

75 ° + 75° + <MPN = 180°

<MPN = 180° - 150°

<MPN = 30°

Answer:

GH

Step-by-step explanation:

A secant is a straight line which cuts the circle at 2 points

GH and FE both do this but FE is a special secant, that is the diameter

Then GH is a secant

Answer:

3 9/50

Step-by-step explanation:

3.18 is 3 18/100

Simplifying it further you get: 3 9/50

Answer:

OAmalOHopeO

Answer:

96 yuan

Step-by-step explanation:

We know how much one yuan is, so we can convert that to $1, Then multiply by 600. To find a USD, we need to divide the yuan by the dollar.

[tex]1/6.11=0.16[/tex]

Now we have a full dollar, and we need to multiply the yuan by 600 to get our 600 dollar value.

[tex]0.16*600=96[/tex]

Answer:

x = 6

Step-by-step explanation:

Since <F = <F, this shows that the triangles are similar. Therefore:

XZ/DF = XY/DE

12/8 = 9/X

Cross multiply

12X = 9*8

12X = 72

X = 72/12

X = 6

Hence the value of x is 6

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

see this attachment ☝☝

Answer:

8/27

Step-by-step explanation:

Step 1: G_ _ gle

  Answer: 8/27

Answer:

cos x= 11/19

x=54.62

Step-by-step explanation:

use cosine to find the angle

Answer:

(-7, 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify

y - 3 = 4(x + 7)

↓ Compare to Point-Slope Form

Point (-7, 3)

Slope m = 4

Answer:

1/2.

Step-by-step explanation:

The inclination of the line to the x axis = 1/3*√3

= √3/3.

This is the tangent of the angle.

The sine of the angle =√3/hypotenuse.

The hypotenuse = √( √3)^2 + 3^2)    (By the Pythagoras theorem)

= √12

= 2√3

Therefore the required sine is  √3/  2√3

= 1/2.

I think that's what you want!!

Answer:

72 sq ft

Step-by-step explanation:

A = l × w

320 = 20w

------    ------

20       20

16    =    w

16 + 16 + 20 + 20

^      ^

  32 + 20 + 20

            ^       ^

    32 + 40

         72

The perimeter is 72 square feet.

Hope this helped.

Answer:

I think the answer is C.