What is the sum of the two polynomials?
x² - 4x +5
+3x²+x-2
O 4x4 - 3x² +3
O 4x²-3x +3
O 4x²-3x+7
O 3x²-3x+7
O 3x²-3x +3

50% of women who said ‘no’ out of the total survey population if 15 men and 75 women were asked if they had seen the company’s latest TV advertisement.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Market research was undertaken to determine whether an ad campaign was successful for the software company.

Total number of people = 15 + 75 = 90

The number of people who said yes = (2/5)90 = 36

The number of people who said no = 90 - 36 = 54

The number of men said yes = (6/15)x15 = 6

The number of men said No = 15 - 6 = 9

The number of women who said no = 54 - 9 = 45

Percentage = (45/90)x100

The percentage of women who said ‘no’ out of the total survey population:

= 50%

Thus, 50% of women who said ‘no’ out of the total survey population if 15 men and 75 women were asked if they had seen the company’s latest TV advertisement.

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Answer:

11 inches of wire will cost 66 cents

Step-by-step explanation:

14 inches - 84 cents

find unit rate by dividing 84 by 14

84/14=6

so is is 6 cents per inch

so multiply 6 by 11

11 inches of wire will cost 66 cents

The volume of the solid thus formed is [tex]\frac{26}{27} \pi[/tex] .

Let us think of any region that is enclosed by a function g(x) and the x-axis between x=a and x=b. If this region is rotated about the x-axis, the solid of rotation that results can be thought of as consisting of thin cylindrical discs with a width of dx and a radius of g (x). Therefore, by integrating the volume of this disc, the whole volume of the solid will be revealed.

Volume=[tex]\int^{a}_{b}\pi [g(x)]^2dx[/tex]

The given function is g(x)=(1/3)x+2 ranging from x=1 to x=3

Therefore volume of the solid formed is:

[tex]\int^{3}_{1}\pi [\frac{1}{3}x]^2dx\\=\int^{3}_{1}\pi [\frac{1}{9}x^2]dx\\=\pi \int^{3}_{1} [\frac{1}{9}x^2]dx\\\\=\pi [\frac{1}{27}x^3 ]^3_1\\= \frac{26}{27} \pi[/tex]

The volume of the solid thus formed is [tex]\frac{26}{27} \pi[/tex] .

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Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

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Answer:

The width is 3 feet and the height is 6 feet.

Step-by-step explanation:

Answer: 0.275

Step-by-step explanation:

a. To express 11/40 as a decimal, you need to divide 11 by 40. (Steps shown in image)

b. Sorry, I can't figure out the answer to this. I don't recommend making the denominator a 4 as the numerator would become 1.1.

The correct option is C, if f(x) has a domain only with positive values, the graph will be on the first and fourth quadrant.

We know that the domain of f(x) is only the set of positive real numbers. Now remember that the domain of a function is the set of the inputs of that function (the inputs are on the horizontal axis).

Then the graph of f(x) will only be on the positive side of the horizontal axis.  We know that the two quadrants that are on that region are the first quadrant and the fourth quadrant.

Then if f(x) has a domain only with positive values, the graph will be on the first and fourth quadrant, this means that the correct option is C.

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Answer:

7.4

Step-by-step explanation:

When the decimal in any place is more than 0.5, round up.

The systolic pressure, to the nearest tenth of a millimeter, for a person of age 41 years is; 133.6 mm Hg

We are given the equation that gives a person's blood pressure, p at the age y year is;

p = 0.007y² - 0.003y + 122

To find the systolic pressure for a person of age 41 years, just plug in y = 41 into the given quadratic equation to get;

p(41) = 0.007(41)² - 0.003(41) + 122

p(41) = 11.767 - 0.123 + 122

p(41) = 133.6

Thus, the systolic pressure, to the nearest tenth of a millimeter, for a person of age 41 years is; 133.6

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Answer:

93

Step-by-step explanation:

13 + 26 = 39

39 + 54 = 93

Answer :

1) If x = 6

Substitute 6 for x in the expression.

a) 5x-9

5(6)-9

30-9

21

b) 2x-7

2(6) -7

12-7

5

c) 8x+5

8(6)+5

48+5

53

d) 4(x+3)

4(6+3)

4(9)

36

e) x²-(-4)

6²-(-4)

36+4

40

f) 3x²+1

3(6²)+1

3(36) +1

108+1

109

2) Solve

a) 54 = 3x

Divide both sides by 3.

54/3 = 3x/3

x = 18

b) x-9 = -3

Add 9 to both sides.

x-9+9 = -3+9

x = 6

c) x/7 = 140

Express the 140 over 1 and cross multiply.

x/7 = 140/1

x = 140×7

x = 980

d) x/8 = 72

Express the 72 over 1 and cross multiply.

x/8 =72/1

x = 72×8

x = 576

The following mistakes were made in the solution of the inverse function:

Therefore, the first error is caused by the incorrect variable swap.

The correct expression is:

The following error is:

The correct expression:

Finally, the domain is incorrect.

As a result, the following errors were made in the inverse function solution:

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The correct question is given below:
Identify the errors made in finding the inverse of y = x2 + 12x.

Describe the three errors.

Over a year, a prison's population dropped by 312 inmates. We know that 1 Year = 12 Months.

Additionally, considering that each of the 12 months declined at the same rate.

the Monthly decrease  in members = 312 / 12 = 26

Therefore, the expression used to calculate the monthly drop in prisoner population = Number of prisoners decreased per year / Number of months

Note: If the monthly drop rate is the same, the aforementioned equation is correct ( for all months in that year)

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Answer:7:15 pm

Step-by-step explanation:

We know he went to bed at 9:00 PM and spent 1 hr and 45 minutes playing games. Start by subtracting one hour away, so we get 8:00 PM. subtract 45 minutes from that and he would have started playing at 7:15 PM.

Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

The solution of the geometrical system is (x, y) = (2.5, 48.5).

In this question we have a picture representing two lines and a semirray that brings out two formulae for supplementary angles, these are shown below:

(x + 10) + 30 + (3 · y + 2) = 180

x + 3 · y = 148         (1)

30 + (3 · y + 2) + (5 · x - 10) = 180

5 · x + 3 · y = 158    (2)

And now we resolve the entire system of linear equations by substitution:

By (1):

x = 148 - 3 · y

(1) in (2):

5 · (148 - 3 · y) + 3 · y = 158

740 - 15 · y + 3 · y = 158

12 · y = 582

y = 48.5

By (1):

x = 148 - 3 · 48.5

x = 2.5

The solution of the geometrical system is (x, y) = (2.5, 48.5).

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The answers to the questions are:

This is the term that is used to refer to the graphical representation of a frequency distribution. It helps to show us the frequency that the details in the class would have to fall under.

For example, the most frequent outcome can be seen as the one that has the highest point on the graph. We can see the highest point as 7 and its frequency is 20.

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Answer:

A. 7

B. 12

C. 15

D. 16

E. 15%
F. Bell-shaped

Answer:

The rightmost figure

Step-by-step explanation:

That is the only figure where there are 4 points of intersection. It is a rhombus inscribed in a square

Using a proportional relationship, the fewest number of vegetables that can be used to make this salad is:

C. 4

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, looming at the table, we have that the number of Broccoli is triple the number of carrots, hence the proportional function is:

B = 3C.

When there is one carrot, the number of broccoli is given by:

B = 3 x 1 = 3.

Hence the fewest number of vegetables is of 4, as 1 carrot + 3 broccoli = 4 vegetables, hence option C is correct.

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The required number is 2001.

To solve this problem we need to know the concept of rounding off.

Rounding off a number means making the value of number equal to the nearest tens place.

When we round off 45 we will get 50; when we round off 44 we get 40.

So, if a number has 5 at its unit place then it will be rounded off to the tens place which is ahead of 5 and if a number is less than 5 then it is rounded off to the tens place before that number.

Here it is asked to find the least whole number that rounds off to 2000 when rounded off to nearest hundred which will be 2001.

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The size of the final payment is $5378.08

P1 = One loan payment = $4000

P2 = Second loan payment = $6000

P3 = Payment = $5000

Let P4 = Second payment

n1 = 200 days

n2 = 63 days

n3 = 92 days

r = Interest rate = 8.3%

[P1 * (1+ (r * n1 /365))] + [P2 * (1+ (r * n2 /365))] = P3 + [P4 / (1+(r*n3/365)]

[$4000 * (1+(8.3%*200/365)] + [$6000 * (1+(8.3%*63/365)] = $5000 + [P4 / (1+(8.3%*92/365))]

[$4000 * 1.04547945] + [$6000 * 1.01432603] = $5000 + [P4 / 1.02092055]

$4181.9178 + $6085.95618 = $5000 + [P4/1.02092055]

P4/1.02092055 = $5267.87398

P4 = $5378.080801

Therefore, the size of the final payment is $5378.08

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Three rational numbers between

1/3 and 1/5 are 4/15, 3/10, and 7/30

Given:The two numbers are 1/3 and 1/5

To find:The rational number between two numbers

Solution:Now, to find the rational number, add the numbers and divide their sum by 2.

(i) First rational number between

1/3, 1/5 = 1/3+1/5=8/5

Divide 18/5 by 2------> 8/15 x 1/2= 8/30= 4/15

The series becomes, 1/3, 4/15, 1/5

(ii) Second rational number

= 4/15+1/5 = 7/15

Divide

7/15 by 2 ------> 7/15 x 1/2 = 7/30

Hope this helps!

Answer: 4-3b

Step-by-step explanation:

10-0.5(12+8b)+b    First, distribute -0.5 into 12 and 8b

10-6-4b+b              Then combine like terms

4-3b                        Done!

Answer:

[tex]R=\{0,3,4\}[/tex]

Step-by-step explanation:

We can find the range by finding the set of values the function takes for each element in the domain.

[tex]F(-4)=|-4|=4 \\ \\ F(0)=|0|=0 \\ \\ F(3)=|3|=3 \\ \\ \therefore R=\{0,3,4\}[/tex]

The domain and the range of the function are

From the question, we have the following parameters that can be used in our computation:

f(x) = |x|

The rule of a function is that

Using the above as a guide, we have the following:

Domain, D = {-4,0,-3}

Range, R = {4,0,3}

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Answer:

D

Step-by-step explanation:

Acute angle are angles less than 90°.And 43° is less than 90° and the inverse is not less than 90°.