Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.

Step 1: (3x3 – 15x2) + (–4x + 20)

Step 2: 3x2(x – 5) + 4(–x + 5)

Omar noticed that he does not have a common factor. Which accurately describes what Omar should do next?

Omar should realize that his work shows that the polynomial is prime.
Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).
In Step 2, Omar should factor only out of the first expression.
Omar should factor out a negative from one of the groups so the binomials will be the same.

Answer: he can pay for 6 people total (including him)

Step-by-step explanation:

first lets subtract the flat fee from the total amount of money he has

70 - 40 = 30

now lets divide 30 by  $4.50 to see how many people he can pay for

30 / $4.50 = about 6.5

obviously you cant pay for half a person so he can invite 5 people (he also has to pay for himself)

Answer:

6 people

Step-by-step explanation:

Answer:

3 < x

Step-by-step explanation:

3(8 – 4x) < 6(x – 5)

Divide each side by 3

3/3(8 – 4x) < 6/3(x – 5)

(8 – 4x) < 2(x – 5)

Distribute

8-4x < 2x-10

Add 4x to each side

8-4x+4x < 2x-10+4x

8 < 6x-10

Add 10 to each side

8+10 < 6x-10+10

18 < 6x

Divide by 6

18/6 < 6x/6

3 < x

Answer:

7

Step-by-step explanation:

7√5÷5

5/5= 1 then,

√1=1

hence 7(1)=7

Answer:

1≤x≤5

Step-by-step explanation:

The domain is the values that x can take

X goes from 1 to 5

1≤x≤5

Answer:

c.  2 ≤ x ≤ 5

Step-by-step explanation:

The x value is equal to or greater than 2. The x value is equal to or less than 5.

Problem 3

If we peel off the sticker off the side of a 3D cylinder, then we can form a rectangle (imagine we're able to peel it off completely without any folds or tears).

The length of the rectangular sticker is the distance around the curved circular base. So it's C = pi*d = pi*1.5 = 1.5pi inches across. The height of the rectangle is the same as the height of the cylinder. So the height is 5 inches.

The area of the rectangle is: length*width = (1.5pi)*(5) = 7.5pi

That's the exact area in terms of pi

If you use the approximation pi = 3.14, then we'll get 7.5*3.14 = 23.55 square inches as the final answer

==================================================

Problem 4

The square base has area of 38*38 = 1444 square cm

The side panels are 4 identical triangles. Each triangle has area base*height/2 = 38*55/2 = 1045 square cm. Meaning that all four triangles combine to a lateral surface area of 4*1045 = 4180 sq cm.

The total surface area is: 1444+4180 = 5624 square cm.

When you wrote 55*38*2+38*38 on your paper, you had the right idea because that evaluates to 5624

Answer:

43

Step-by-step explanation:

To find the mean, add up all the numbers

(42+ 43+ 44+ 44+ 49+ 40+ 39)=

301

Then divide by the number of terms

301/7

43

Answer:

mean = 43

Step-by-step explanation:

Mean is given by

mean = sum of all numbers / total no. of terms

substitute the values

mean = 42 + 43 + 44 + 44 + 49 + 40 + 39 /

Divide ,

mean = 301 / 7

mean = 43

Answer:

Point S

Step-by-step explanation:

Given that :

Time taken = 1 2/5 hours

Converting to decimal :

1 2/5 = 7/5 = 1.40 hours

From the number line, distance between each successive tick mark represents, 0.05 hours :

Hence, the point which depicts Toby's time on the number line is: point S

Answer:

sin (A) = 8/17

Step-by-step explanation:

Sine = opposite/hypotenuse

Sin (A) = 16/34

Sin (A) = 8/17

Answer:

sin (A) = 16/34

Step-by-step explanation:

SOH (sine = opposite/adjacent)

Answer:

You need to add the eqautions

Step-by-step explanation:

Answer:

i think its 20

Step-by-step explanation:

Answer:

(10^3)^2

Hope this answer is right!!

Step-by-step explanation:

(10^3)^2

(10)^3*2

(10)^5

Answer:

To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent. From the diagram, it is shown that CA is congruent to RM. From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).

Answer:

the second one

Step-by-step explanation:

its the sum oh 90

Answer:

a = 8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cube Formula: V = a³

Step-by-step explanation:

Step 1: Define

Identify variables

V = 512 cm³

Step 2: Find a

Answer:

A

Step-by-step explanation:

270/9=30

========================================================

Explanation:

There are 7 numbers in the set {1,2,...,6,7}. Then we add on 0 to get to the 8th number. So there are 8 numbers overall listed in bold above.

Since the sample space is {0,1,2,...,8,9}, we have 10 digits listed here. So the probability of success is 8/10 = 0.80 = 80%

Side note: The values 8 and 9 would represent a failure. We have 2 failures out of 10 so we get 2/10 = 0.20 = 20%

The groups of numbers could represent a success 80 percent is {0, 1, 2, 3, 4, 5, 6, 7}. Therefore, option C is the correct answer.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, the sample space is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

To simulate an event that has a probability of success of 80%.

Now, 8/10 ×100

= 8×10

= 80%

Therefore, option C is the correct answer.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ7

Answer:

[tex]195[/tex]

Step-by-step explanation:

Let [tex]a[/tex] represent the number of math problems Matthew solved on Sunday. From the problem, we know he solved [tex]5a[/tex] problems on Saturday.

Therefore, we have:

[tex]5a+a=234,\\6a=234,\\a=39[/tex]

Substitute [tex]a=39[/tex] into [tex]5a[/tex]:

[tex]5(39)=\boxed{195}[/tex]

B neither perpendicular nor parallel

Answer:

B

Step-by-step explanation:

B. neither perpendicular nor parallel

because, the line are not crossing nor are they aside from each other.

Answer:

(5a+2)(a+4)

=5a^2+20a+2a+8

=5a^2+22a+8

Answer:

[tex]5 {a}^{2} + 22a + 8[/tex]

Step-by-step explanation:

[tex](5a + 2)(a + 4) \\ 5a(a + 4) + 2(a + 4) \\ 5 {a}^{2} + 20a + 2a + 8 \\ 5 {a}^{2} + 22a + 8 \\ [/tex]

Answer:

Slope/gradient is 4/3

Step-by-step explanation:

Have a nice day

Answer:

this answer kajjsnnsnsnsnsnsnsnsnssnnsnssnjxxjxnxnxxnndnsndnsndndnd

Answer

g(5)=22

g(-2)=1

g(a+1)=(a+1)^2-3

g(a+1)= (a+1)(a+1)-3

g(a+1)=a^2+2a-2

Step-by-step explanation:

if you wanted to solve for a you would need to use the quadratic formula and solve for a.

Answers:

=================================================

Explanation:

To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores

Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632

Divide that over n = 8 to get 632/n = 632/8 = 79

The mean is 79

You have the correct answer. Nice work.

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

The mode is the most frequent value.

In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.

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

To get the median, we need to sort the items from smallest to largest

{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}

Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5

The values 76,87 are in slots four and five in that order. Add them up and divide by 2:  (76+87)/2 = 163/2 = 81.5 is the median

Answer:

A = 24

Step-by-step explanation:

Figure shown is a trapezoid

Area of a trapezoid = [tex]\frac{a+b}{2} h[/tex]

where a and b = base lengths and h = height

The trapezoid shown has the following dimensions

Shorter base length (a) = 6

Longer base length (b) = 10

Height (h) = 3

Using these dimensions , plug in the values into the area formula

A = [tex]\frac{6+10}{2} 3[/tex]

add 6 + 10 = 16

[tex]A=\frac{16}{2} 3[/tex]

divide 16/2 = 8

[tex]A = (8)(3)[/tex]

multiply 8 times 3

A = 24

Answer: 30%

Step-by-step explanation:

Answer: yes

Step-by-step explanation: because if you can draw a line through the graph and hit most of the dots it would be considered linear.

Answer:

Yes

Step-by-step explanation:

The correlation of the dots is very strong although it can't be a straight line.

Hope this helps

Answer:

[tex]\frac{31}{(5x+2)^2}[/tex]

Step-by-step explanation:

See image for quotient rule

f(x)= numerator = 3x-5

g(x)= denominator = 5x+2

so we have

[tex]\frac{(5x+2)(3x-5)'-(3x-5)(5x+2)'}{(5x+2)^2}\\(3x-5)'=3\\(5x+2)'=5\\\frac{(5x+2)(3)-(3x-5)(5)}{(5x+2)^2}\\\frac{15x+6-(15x-25)}{(5x+2)^2}\\\frac{31}{(5x+2)^2}[/tex]

Answer:

-13

Step-by-step explanation:

Adding a negative means that you subtract the number as + (-) = -

This means that the equation is -4-9=-13.

Answer:

-13

Step-by-step explanation:

Answer:

Given that [tex]\int\limits^a_b {\frac{1}{2\pi } e^{-1/2} x} \, dx[/tex]   is not the easiest equation to solve, and that

the values at the convenient ± 1 sigma,± 2 sigma,± 3 sigma are irrational

using the "rule-of-thumb" "empirical rule" is typically "close enough"

given that the whole probability analysis by definition has some uncertainty in it

Step-by-step explanation:

The percentages of a normal distribution data lies within three standard deviations of its mean for empirical rule while it's definite for actual percentages.

The empirical rule is also referred to as the 68-95-99.7 rule and it can be defined as a rule in statistics which states that:

In Statistics, there is a difference between percentages calculated by using the empirical rule and the actual percentages because a normal distribution data lies within three standard deviations of its mean for the former but it is definite for the latter.

In conclusion, the empirical rule is more important to researchers and statistician because it can be used to determine outcomes and gain insight even when all the data aren't available.

Read more on normal distribution here: https://brainly.com/question/4637344

#SPJ6

Step-by-step explanation:

No, 1% of 40 is the same as 40% of 1. Which is 0.025% You cant have 0.025% of a learner or a human so this isn't possible.