What is the measure of arc BC?

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Given :

[tex]f(x) = {x}^{3} + 2 {x}^{2} + 3x + 1[/tex]

[tex]g(x) = 4x - 5[/tex]

let's solve for f(x) × g(x) :

[tex]( {x}^{3} + 2x {}^{2} + 3x + 1)(4x - 5)[/tex]

[tex]4x {}^{4} - 5 {x}^{3} + 8 {x}^{3 } - 10 {x}^{2} + 12 {x}^{2} - 15x + 4x - 5[/tex]

[tex]4 {x}^{4} + 3 {x}^{3} + 2 {x}^{2} - 11x - 5[/tex]

therefore, correct choice is : D

Answer:

30

Step-by-step explanation:

took test

700 cubic inches

Step-by-step explanation:

is known :

V = πr²h

V = 3.14 · 5² · 9

V = 3.14 · 25 · 9

V = 78.5 · 9

V = 706.5 cubic inches → Round to the nearest hundredth

V ≈ 700 cubic inches

The Volume of Cylinder is 1271.7 in³.

The volume of a cylinder is the amount of space that it occupies. It is a measure of the total capacity or content enclosed by the cylindrical shape.

The formula for calculating the volume of a cylinder is:

Volume = πr²h

We have, Radius= 5 in

Height= 9 inch

So, the Volume of Cylinder

= πr²h

= 3.14 x 5 x 5 x 9

= 3.14 x 5 x 81

= 3.14 x 405

= 1271.7 in³

Thus, the Volume of Cylinder is 1271.7 in³.

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Answer:

y =  2x - 1

Step-by-step explanation:

To find out the equation of the line, you will always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, we need to choose 2 points from the graph to solve for the slope:

Let (x1, y1) = (0, -1)

(x2, y2) = (3, 5)

Substitute these values into the following slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{5 - (-1)}{3 - 0} = \frac{5 + 1}{3} = \frac{6}{3} = 2[/tex]

Therefore, the slope (m) = 2.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -1) is the y-intercept.  Hence, the y-intercept (b) = -1.

Given our slope, m = 2, and the y-intercept (b) = -1, the linear equation is:

y = 2x - 1

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Answer:

I'm no 100% sure but,

A triangle is 360⁰

So 65 +47 =112

180-112=68

two opposite angles are always equall so

x=68⁰

Sorry if I'm wrong!

Answer:

27

Step-by-step explanation:

15+40+10+40+30=135.

135÷5 I.e the total average of the number.

135÷5=27

Answer:

27

Step-by-step explanation:

15+40+10+40+30=135

135/5

Because 5 is the number of numbers

=27

Answer:bbbbb

Step-by-step explanation:

sssđs

Given : 13 apples for every 2 pies

We know that : 12 = 2 × 6

Therefore, the number of apples will be 13 × 6 = 78

So, the answer is 78

Answer:

ok?

Step-by-step explanation:

Answer:

117600

Step-by-step explanation:

50 x 49 x 48 = 117,600 ways

You have 50 possible for 1st, 49 for 2nd, 48 for 3rd

or

Permutations 50P3 = 117,600

There are total 59280 ways that can the runners finish first, second and third in a race.

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]

Where,

[tex]nP_{r}[/tex] is permutation.

n is total number of objects.

r is number of objects selected.

According to the given question

Total number of runners, n = 40

Total number of runners to be selected for first, second and third position  is 3 i.e. r = 3

Therefore,

The number of ways can the runners finish the first, second and third is given by

[tex]40P_{3} = \frac{40!}{((40-3)!} =(40)(39)(38)=59280[/tex]

Hence, there are total 59280 ways that can the runners finish first, second and third in a race.

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Answer:

the answer is sike not telling you

Step-by-step explanation:

Step-by-step explanation:

Answer:

I would try cymath

I can't solve this so I would use cymath or copy and paste your answer to go 0gle and you might find another brainly question with this

Answer:

362.984 could be the answer but don't judge me I could be wrong.

Step-by-step explanation:

I'm not 100% sure.

From what I've been taught, they're asking for the amount of snow in cm that is melting per minute.

What I did:

I input 17 where r is in the equation for Volume. I solved it and got the answer: 20579.52628 > Rounded to nearest 10th > 20579.5

I then took that number and multiplied it by 0.1 and got: 2057.95

This is most likely incorrect based on the numbers that were given, but it should help to know that how to solve for Volume.

Answer:

2 and a half mile

Step-by-step explanation:

As she runs three miles in 25 minutes so she can run 2 and a half miles in 20 minutes because she needs five minutes to complete the third mile

Answer:

-4.62962962963

Step-by-step explanation:

Answer:

yeah f(x) = 2

Step-by-step explanation:

because there is no x and f(x) is on positive 2

Answer:

i got it right on test⬇️

Answer:

C. QR = 2 • PR

Step-by-step explanation:

According to given information we can draw a right triangle with angle measures as follows :

30-60-90 and for this special right triangle the side length would follow as:

The side length that sees angle measure 30 = a

The side length that sees angle measure 60 = a[tex]\sqrt{3}[/tex]

The side length that sees angle measure 90 = 2a

following this information the:

PR(sees 30 degrees) = a (can be represented as PR in this case)

and so

QR(sees 90 degrees) = 2a (2*PR  in this case)

PQ(sees 60 degrees) = a[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] *PQ in this case)

The correct option is C. QR = 2 • PR

Answer:

92658

Step-by-step explanation:

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nxgsbdxyxbhxgx6666

Answer:

$300

Step-by-step explanation:

90 x 2 = 180

60 x 2 = 120

120 + 180 = 300

Using the z-distribution, it is found that 217 sample measurements should be taken at each site.

The margin of error of a z-confidence interval is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.

In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.

Estimate of the standard deviation of 1.5, thus, [tex]\sigma = 1.5[/tex].

We want the sample for a margin of error of 0.2ºC, thus, we have to solve for n when [tex]M = 0.2[/tex].

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.2 = 1.96\frac{1.5}{\sqrt{n}}[/tex]

[tex]0.2\sqrt{n} = 1.96(1.5)[/tex]

[tex]\sqrt{n} = \frac{1.96(1.5)}{0.2}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96(1.5)}{0.2})^2[/tex]

[tex]n = 216.1[/tex]

Rounding up:

217 sample measurements should be taken at each site.

A similar problem is given at https://brainly.com/question/17039768

Answer:

Don't quite see how this should fall into the mathematics category

Answer:

[tex]f(x) = 2x - 1 \\ g(x) = 3x \\ h(x) = {x}^{2} + 1 \\ f( g(x)) = 2(3x) - 1 = 6x - 1 \\ f( g( - 3)) = 6( - 3) - 1 = - 19 \\ h(f(x)) = {(2x - 1)}^{2} + 1 \\ h(f(0)) = {(2(0) - 1)}^{2} + 1 \\ h(f(0)) = 2[/tex]

Answer: 15,000

Step-by-step explanation:

40 percent *37500

= (40/100)*37500

= (40*37500)/100

= 1500000/100 = 15,000