C(x) = 5x^2 + x + 7 and
d(x) = x^2 – 10
d(c(3))

Answer:

1.) 60 students

11.) kindly check attached picture

Step-by-step explanation:

Given that:

Total number of students = n(Total) = 180

Number who participate in sport = n(Sport) = 120

Number who participate in both = n(Sport n Music) = 40

Number who participate only in Music =?

Let number who participate in Music = x

Hence, n(Music only) = x - 40

n(Sport only) = 120 - 40 = 80 students

Summing all should give us n(total)

n(sport only) + n(sport n music) + n(music only) = 180

80 + 40 + (x - 40) = 180

80 + 40 + x - 40 = 180

80 + x = 180

x = 180 - 80

x = 100 students

Therefore,

n(Music only) = x - 40 = 100 - 40 = 60 students

Answer:

the answer would be 13/8

13 divided by 8 can be written [tex]1\dfrac{5}{8}[/tex] as a mixed number.

The division is a mathematical operation that contains decoupling a quantity or number into equal proportions. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to get the quotient.

13 can be split as follows:

13 = 1 × 8 + 5.

It is evident that when 13 is divided by 8, it gives 1 as a quotient and the remainder is 5.

Thus, the fraction [tex]\frac{13}{8}[/tex] in the mixed form is [tex]1\dfrac{5}{8}[/tex].

Learn more about Division here:

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Answer:

10

Step-by-step explanation:

See the picture attached.

Answer:

150

Step-by-step explanation:

There is no way to write 150 in simplest form

that is the only way to write it unless you 2ant to write it like this 150/1

Answer:

3 boxes of maracas

Step-by-step explanation:

9 x 2 = 18

18 ÷ 6 = 3 boxes of maracas

Answer:

He needs to get three boxes.

Step-by-step explanation:

We know that he wants two, we know that he has eight friends coming. He wants two maracas per friend. To find the total number of maracas you must multiply the amount of friends by the amount of maracas.

8 * 2= 16

You add the two maracas for himself to find the total maracas needed.

16+2= 18

Next you divide the amount of maracas needed by six because the are six maracas per box.

18÷6=3

The total number of boxes needed is three

Answer:

It will cost 11 cents a day.

Step-by-step explanation:

1.98/18=11

plzz have brainiest

Answer:

angle P measures 40 degrees

Step-by-step explanation:

triangle with 2 equal sides has 2 equal angles also (isosceles triangle)

if angle Q is 70, then R is 70

sum of all interior angles of a triangle is 180; therefore, angle P must be 180-140

Answer:

The 90% confidence interval would be  narrower than a 95% confidence interval

Step-by-step explanation:

From the question we are told that

  The 95% confidence interval is  0.69 to 0.91.

Generally the width of a confidence interval is dependent on the margin of error

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

Here we see that

           [tex]E \ \ \alpha \ \  Z_{\frac{\alpha }{2} } [/tex]

    Here  [tex]Z_{\frac{\alpha }{2} } [/tex]  is the critical value of half of the level of significance .

    This value increase as the value of confidence level increase and vise versa

So for 90% confidence interval , the confidence level is  90% , hence the value of  [tex]Z_{\frac{\alpha }{2} } [/tex]  will decrease  which will in turn decrease the value of E , hence the width of the interval will reduce

So the 90% confidence interval is narrower than a 95% confidence interval when the sample proportion or sample mean is constant

Answer:

(-1, 0)

I will solve your system by substitution.

(You can also solve this system by elimination.)

2x+y=−2;−3x+2y=3

Step: Solve2x+y=−2for y:

2x+y+−2x=−2+−2x(Add -2x to both sides)

y=−2x−2

Step: Substitute−2x−2foryin−3x+2y=3:

−3x+2y=3

−3x+2(−2x−2)=3

−7x−4=3(Simplify both sides of the equation)

−7x−4+4=3+4(Add 4 to both sides)

−7x=7

−7x

−7

=

7

−7

(Divide both sides by -7)

x=−1

Step: Substitute−1forxiny=−2x−2:

y=−2x−2

y=(−2)(−1)−2

y=0(Simplify both sides of the equation)

Answer:

1

Step-by-step explanation:

8*12=96

96*3=288

4*12=48

48*2=96

96/96=1

Answer:3

Step-by-step explanation:

Im assuming you meant 8ab/2bc

So adding all the numbers you'll have

8x3x12/2x12x4

You first reduce the 12 in the fractions making it

8x3/2x4

and then you reduce the 8 and 2 making it 4

so you'll have

4x3/4

One last time you reduce the two fours making the

answer: 3

Answer:

150.72

Step-by-step explanation:

8 x 6 x 3.14 = 150.72

Answer:

150.72

radius times pi

then you have the value of the inside

times it by the height

and you have the volume

Answer: 12.20

Step-by-step explanation:

because if 6.10 is the amount for one pound, then if u need 2 pounds, then multiply 6.10 with 2.

Answer:

$230

Step-by-step explanation:

hope this helped, im sorry if im wrong too

Answer:

C) The vectors are orthogonal because the angle between them is 90°.

Step-by-step explanation:

got it right on edge :)

The vectors are orthogonal because the angle between them is 90°. Option C is correct.

A vector is a quantity with a magnitude, and direction that follows the law of vector addition.

Given data;

u = ⟨1, 0⟩

v= ⟨0, –3⟩

The angle between the vector is found by the formula as;

[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0[/tex]

Hence option C is correct.

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Answer:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

Step-by-step explanation:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

Answer:

step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.

Step-by-step explanation:

STEP 1: Move all terms not containing n to the right side of the equation.

[tex]2n=-12[/tex]

STEP 2: Divide each term by 2 and simplify.

[tex]n=-6[/tex]

Answer: X = 57.5

Step-by-step explanation:

3x - 65 + x + 15 = 180

4x - 50 = 180

4x = 230

x = 57.5

Answer:

3x-65 degrees

Step-by-step explanation:

Since the angles are vertical angles, y should equal the same value of the corresponding angle.

Answer:

vkigiots88558s,utt8z85a85a5s85t8s84

Answer:

a. She uses 2.5 ounces per personal pizza

b. At this rate, she will need 37.5 ounces of cheese to make 15 pizzas

Step-by-step explanation:

a. 10/4= 2.5

b. (2.5)x15= 37.5

Answer:

35

Step-by-step explanation:

*I'm just gonna answer this*

When you are 70, your brother will be 67.

If you were six, and he was half of that, he was three, meaning he was 3 years younger than you.

Answer:

936

7 2

×  1 3

2  

2 1 6

7 2 0

9 3 6

Brainleist?

Answer: 19.8 acres

Step-by-step explanation:

multiply 54.8 by .35 to get 19.18

Answer:

6 yards 2 feet

Step-by-step explanation:

3 feet per yard making 9 yards and one foot = 28 feet

subtract 8 feet = 20 feet

6 yards 2 feet

Answer:

I believe the answer would be 9

Step-by-step explanation:

I am sorry if I am wrong let me know.

Answer:

0.60515

Step-by-step explanation:

Given that:

Population proportion p = 0.9

Sample size = 64

Probability that sample proportion is more Than 0.89

P(p" > 0.89)

(p" - p) ÷ sqrt(p(1 - p) /n)

P(Z > p")

P(Z > (0.89 - 0.9) ÷ sqrt(0.9(1 - 0.9) /64))

P(Z > (-0.01) ÷ sqrt(0.9 * 0.1) / 64))

P(Z > (-0.01) / sqrt(0.00140625))

P(Z > - 0.26667) = 0.6051

Using the Z probability calculator :

P(Z > - 0.26667) = 0.60515

Answer:

the origin is where the graph starts which is located at 0,0

Step-by-step explanation:

Answer:

From the graph,

it is clear that the slope and y-intercept  have been changed.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the equation of a line

y = 7x + 3

comparing with a slope-intercept form of the line equation

y = mx+b

Here,

The slope = m = 7

y-intercept  = b = 3

Now, the equation changed to y = 2x + 6

y = 2x + 6

comparing with a slope-intercept form of the line equation

y = mx+b

Here,

The slope = m = 2

y-intercept  = b = 6

Thus, if the equation was changed to y = 2x + 6, the slope and y-intercept also get changed from m = 7 to m = 2 and b = 3 to b = 6 respectively.

The lines of both equations is also attached.

From the graph,

it is clear that the slope and y-intercept  have been changed.

Answer:

it will take 1/5 of a day for Amir to catch up to Jesse

Step-by-step explanation:

30x = 35x - 1

30x - 35x = - 1

-5x = -1

-5x/-5 = -1/-5

x = 1/5

Answer: brainliest pls

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total number of workers is our unknown. If 40% of this unknown number are women and the number of women is 1380, then the equation looks like this:

(remember that the word "of" generally means to multiply)

(also remember that we have to use the decimal form of a percent in an equation)

.40(x) = 1380 then divide to get the number of total workers:

x = 3450

Answer:

72.13

Step-by-step explanation:

If you bought a stock last year for a price of $79, and it has gone down 8.7% since then, how much is the stock worth now, to the nearest cent?​

Answer:

67.55 rounded to the nearest cent.

Step-by-step explanation:

The answer is 67.55 because since 100% minus 8.7% is 85.5% and 85.5% of 67.55 is 67.55 rounded.

Answer:

Step-by-step explanation:

Answer: 1. heading and subheading

2. subheading

3. point-by-point

Step-by-step explanation: