Find the equation of the parabola that has zeros of x = –1 and x = 3 and a y-intercept of (0,–9). Question 1 options: A) y = 3x2 – 6x – 9 B) y = x2 – 2x + 9 C) y = 3x2 – 6x + 9 D) y = x2 – 2x – 9

There are 3 red out of 7 total so red will be 3/7

There are 4 blue out of 7 total so blue will be 4/7

After he picks one he puts it back so every red will be 3/7 and every blue will be 4/7

B) multiply the probability of picking a red one by the probability of picking a red one again:

3/7 x 3/7 = 9/49 probability of picking 2 red ones.

Answer:

40

Step-by-step explanation:

I think that the answer would be 0.52 if you round it

Answer:

x=√-16

Step-by-step explanation:

Since x^2+16=0

Substrate 16

X^2=-16

Square root of both sides

X=√-16

So therefore the final answer is

X=√-16

There are only two angle measures here, an angle, a bunch of congruent copies, and its supplement, with a bunch of congruent copies.

∠1 ≅ ∠3 ≅ ∠5 ≅ ∠7 are all supplementary to ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8

Answer:

The solution is D, -11.

Step-by-step explanation:

Answer:

First problem: 89.07 grams

Second problem: 3910.15 days

Step-by-step explanation:

We can solve these problems with the exponencial equation:

P = Po * (1+r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the time.

In the first problem, the half-life is 119.77 days and Po = 100, so we have that:

P = 100 * (1-0.5)^(t/119.77)

So after 20 days, we will have:

P = 100 * (1-0.5)^(20/119.77) = 89.07 grams

For the second problem, we have the half-life of 5730 days, and the final value over the inicial value is 62.31%, so:

P/Po = (1-0.5)^(t/5730)

0.6231 = 0.5^(t/5730)

log(0.6231) = log(0.5^(t/5730))

-0.4730 = (t/5730)*log(0.5)

-0.4730 = (t/5730)*(-0.6931)

(t/5730) = 0.6824

t = 0.6824 * 5730 = 3910.15 days

Using the formula for half-life calculation, approximately 82.57 milligrams of Selenium left after 20 days. Based on the amount of Carbon-14 left, the last eruption of the volcano occurred approximately 3896 years ago.

The calculation of remaining amount of a given isotope relies on the understanding of what is called a half-life. In the case of selenium, with a half-life of 119.77 days, we are looking at 20 days had passed. This would be a fraction of the half-life (20/119.77 = 0.167). The amount left can be calculated by the formula N = N0 * (1/2)^(t/T), where N is the final amount, N0 is the initial amount, t is the elapsed time, and T is the half-life. This becomes 100 * (1/2)^(0.167) which results in approximately 82.57 milligrams of Selenium left.

For the interval of carbon-14 relating to the volcano eruption using a half-life of 5730 years, we know from the sample that 62.31% of the original amount remains. This relates to 0.623 as the fraction of half life that has passed. Using the formula log2(1/0.623) we get approximately 0.68 half-lives. From this, we can find the time passed, which is half-life times the number of half-lives. This results in 5730 * 0.68 = approximately 3896 years ago for the last eruption.

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Answer: 2(x + 2) + 2 = 2(x + 3) + 1

Steps:

2x + 6 = 2x + 7

Subtract 6 from both sides

2x + 6 - 6 = 2x + 7 - 6

Simplify

2x = 2x + 1

Subtract 2x from both sides

2x - 2x = 2x + 1 - 2x

Simplify

0 = 1

The sides are not equal.

NO SOLUTION

Answer:

1, 2, and 5

Step-by-step explanation:

Answer:

432

Step-by-step explanation:

Answer:

y - 1 = -4(x+3)

Step-by-step explanation:

We will use the point slope form of a line

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is the point

y - 1 = -4(x--3)

y - 1 = -4(x+3)

Answer: The radius is 11.5 meters (to the nearest tenth)

Step-by-step explanation: The circle with center H has an arc TX that measures 24 meters, and also the angle subtended by YX equals 120°.

The length of an arc is given b the formula;

Length of arc = (∅/360) x 2πr

Where the length of the arc is 24 and ∅ is 120, the formula becomes;

24 = (120/360) x 2(3.14) r

24 = (1/3) x 6.28 r

By cross multiplication we now have,

(24 x 3)/6.28 = r

72/6.28 = r

11.4649 = r

r ≈ 11.5

Therefore, the radius is approximately 11.5 meters

Answer:

The distance in miles that the cities are apart is 40 miles

Step-by-step explanation:

To get from 1 inch to 8 inches, you multiply by 8. This means you multiply 5 miles by 8 to get 40 miles.

Answer:40 miles

Step-by-step explanation:

because 1 inch is 5 miles and the cities are 8 miles apart so 8x5=40.

An employee at a cell phone store sold 40 phones for $450 each, totaling $18,000 in sales. Based on her commission rate of 2.5%, she earns $450 in commission for the week.

The subject of this question is how to calculate the employee's commission based on her sales. First, we need to calculate the total sales the employee made. She sold 40 phones at $450 each, so her total sales would be 40 * $450 = $18,000.

Next, we need to figure out what 2.5% of her total sales is because this is her commission rate. The calculation would be $18,000 * 2.5/100 = $450.

So, the employee's commission for this week is $450.

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Answer:

what are the statements lol

Step-by-step explanation:

Answer:

answer is a

Step-by-step explanation:

the volume is everything on the inside of the tank

surface area would only be the amount of water it take of cover one side

area would just be the size of the glass on bottom

the perimeter would just be the length of all four edges of each side of the fish tank

For the maximum amount of water it takes to fill a rectangular fish tank, we need to know the volume of the fish tank.

Option A is the correct answer.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

The volume of any container gives us the maximum amount the container can hold.

Now,

For the maximum amount of water it takes to fill a rectangular fish tank, we need to know the volume of the fish tank.

Thus,

The volume of the fish tank gives us the maximum amount it can hold.

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Answer:

lateral surface area means surface area of vertical walls.

there are 3 vertical walls and each is a rectangle.

hence

lateral surface area = 3 × area of one wall

= 3× ( 8×5 )

= 3 × 40

= 120 square units

Step-by-step explanation:

Given the geometric sequence

8 + 6 + 4.5...

A geometric sequence has a constant ratio and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}[/tex]

[tex]\frac{6}{8}=\frac{3}{4},\:\quad \frac{4.5}{6}=\frac{3}{4}[/tex]

[tex]\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}[/tex]

[tex]r=\frac{3}{4}[/tex]

[tex]\mathrm{The\:first\:element\:of\:the\:sequence\:is}[/tex]

[tex]a_1=8[/tex]

[tex]\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:[/tex]

[tex]a_n=8\left(\frac{3}{4}\right)^{n-1}[/tex]

[tex]\mathrm{Geometric\:sequence\:sum\:formula:}[/tex]

[tex]a_1\frac{1-r^n}{1-r}[/tex]

[tex]\mathrm{Plug\:in\:the\:values:}[/tex]

[tex]n=25,\:\spacea_1=8,\:\spacer=\frac{3}{4}[/tex]

[tex]=8\cdot \frac{1-\left(\frac{3}{4}\right)^{25}}{1-\frac{3}{4}}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]

[tex]=\frac{\left(1-\left(\frac{3}{4}\right)^{25}\right)\cdot \:8}{1-\frac{3}{4}}[/tex]

[tex]=\frac{8\left(-\left(\frac{3}{4}\right)^{25}+1\right)}{\frac{1}{4}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

[tex]=\frac{8\left(-\frac{3^{25}}{4^{25}}+1\right)}{\frac{1}{4}}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]

[tex]=\frac{\left(1-\frac{3^{25}}{4^{25}}\right)\cdot \:8\cdot \:4}{1}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:8\cdot \:4=32[/tex]

[tex]=\frac{32\left(-\frac{3^{25}}{4^{25}}+1\right)}{1}[/tex]

[tex]=\frac{32\cdot \frac{4^{25}-3^{25}}{4^{25}}}{1}[/tex]               ∵ [tex]\mathrm{Join}\:1-\frac{3^{25}}{4^{25}}:\quad \frac{4^{25}-3^{25}}{4^{25}}[/tex]

[tex]=32\cdot \frac{4^{25}-3^{25}}{4^{25}}[/tex]

[tex]=\frac{\left(4^{25}-3^{25}\right)\cdot \:32}{4^{25}}[/tex]

[tex]=\frac{2^5\left(4^{25}-3^{25}\right)}{2^{50}}[/tex]        ∵ [tex]\mathrm{Factor}\:32:\ 2^5[/tex],  [tex]\mathrm{Factor}\:4^{25}:\ 2^{50}[/tex]

so

[tex]=\frac{4^{25}-3^{25}}{2^{45}}[/tex]        ∵ [tex]\mathrm{Cancel\:}\frac{\left(4^{25}-3^{25}\right)\cdot \:2^5}{2^{50}}:\quad \frac{4^{25}-3^{25}}{2^{45}}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a\pm \:b}{c}=\frac{a}{c}\pm \frac{b}{c}[/tex]

[tex]=\frac{4^{25}}{2^{45}}-\frac{3^{25}}{2^{45}}[/tex]      

[tex]=32-\frac{3^{25}}{2^{45}}[/tex]            ∵  [tex]\frac{4^{25}}{2^{45}}=32[/tex]

[tex]=32-0.024[/tex]        ∵  [tex]\frac{3^{25}}{2^{45}}=0.024[/tex]

[tex]=31.98[/tex]            

Therefore, the sum of the first 25 terms in this geometric series: 31.98

Answer:

$5.5 per hour

Step-by-step explanation:

You divide the cost  by the number of hours

Answer:

About 10 minutes, which is 1/6 of an hour.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

f(x) = 10/2 + 8 = 5 + 8 = 13

Look at the attached picture⤴

Hope it will help u...

[tex]width: 2x^2-3\\height:7\\S=7(2x^2-3)\\S=14x^2-21[/tex]

The measure of angle VU is 240°.

Given that arc SV has a measure of **120°** and angle STV is **82°**, we can find the measure of angle VU.

1. The central angle STV is equal to the measure of arc SV. Therefore, ∠STV = 120°.

2. The sum of angles around a point (360°) is equal to the sum of the central angle and the inscribed angle. So, ∠VU + ∠STV = 360°.

3. Solving for ∠VU:

  - ∠VU + 120° = 360°

  - ∠VU = 360° - 120°

  - ∠VU = 240°

Therefore, the measure of angle VU is 240°.

The shapes don't really play a role in this story, do they.  Both points are on the horizontal line y=5 so the distance between them is the absolute difference of the x coordinates, 5- -3 = 8

Answer: 8

The distance between the centers of the circle and triangle is 8.

The distance between two points of a line is given as:

Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

Where (a, b) and (c, d) are the two points.

We have,

The centre of a circle = (5, 5)

The centre of a triangle = (-3, 5)

Consider (a, b) = (5, 5) and (c, d) = (-3, 5)

The distance between the centre of a circle and the centre of the triangle.

= √(-3 - 5)² + (5 - 5)²

= √(64 + 0

= √64

= 8

Thus,

The distance between the centres is 64.

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Answer:

8 ads

Step-by-step explanation:

To start off, we know we have a budget of $500 which means we cannot go above that amount. Ads cost $75 each but in our case they are now 20% cheaper. Lets figure out the new price of the ads. Remember to change 20% into its decimal form (20% -> 0.2)

75 x 0.2 = 15

Now we subtract 15 from 75 to get our new ad price.

75 - 15 = 60

Now to figure out how many ads we can get with a budget of $500, we simply divide 500 by 60. Don't forget to round the answer to the nearest whole number since we cannot go over our budget.

500 / 60 = 8 ads

Answer: 128

Step-by-step explanation:

Answer:

The image will be congruent to the pre-image because n = 1.

Answer:

Awsner number 2

Step-by-step explanation:

Answer:

each clinic serves about 300 people

Step-by-step explanation:

Population of 24742 is served by 83 clinics

Then each clinic will serve

24742/83 =298.157

≈ 300

Answer:

c. 300

Step-by-step explanation:

24,742/83

298.0963855

Approximately 300

Answer:

Kayla will not have enough because the total will be $225.67

Step-by-step explanation:

2 * 9.98 = 19.96

3 * 24.99 = 74.97

19.96 + 25.99 = 45.95

45.95 + 74.97 = 120.92

120.92 + 89.99 = 210.91

0.07 * 210.91 = 14.76

210.91 + 14.76 = 225.67

Kayla will not have enough because the total will be $225.67

Since there is a budget of $200. The sales tax rate is 7%

Also, the following items should be purchased

2 T-shirts, $9.98 each

1 pair of pants, $25.99

3 dresses, $24.99 each

1 pair of shoes, $89.99

So, the calculations should be

2 of 9.98 = 19.96

3 of 24.99 = 74.97

Now the total should be

19.96 + 25.99 = 45.95

45.95 + 74.97 = 120.92

120.92 + 89.99 = 210.91

0.07 of 210.91 = 14.76

And, finally

210.91 + 14.76 = 225.67

Therefore, Kayla will not have enough because the total will be $225.67

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Answer: x=1,y=0

Step-by-step explanation:

X-2y=1.....equation 1

2x-y=2.....equation 2

X=1+2y.......equation 3

Substitute equation 3into 2

2(1+2y)-y=2

2+4y-y=2

2+3y=2

3y=2-2

3y=0

Y=0/3

Y=0

Substitute for y=0 in equation 1

X-2y=1

X-2(0)=1

X-0=1

X=1

X=1 & Y=0

Answer:

x=1

y=0

Step-by-step explanation:

Answer:

-3r -16

Step-by-step explanation:

2 (r - 3) - 5(r + 2)

Distribute

2r-6 - 5r - 10

Combine like terms

-3r -16