15 POINTS!!

Graph the equation. y=2(x-4)^2+5

Answer:

A. There are 8 seventh grade students

B. There are 14 total questions on the test

Step-by-step explanation:

Answer:

11.25minutes

Step-by-step explanation:

From the question we are told that lifts unloads 576 skiers per hour at the top of the slope, this is expressed as;

576skiers = 1hr

To determine the time it will take 108skier, we can write

108skier = x

Divide both expressions

576/108 = 1/x

576x =108

x = 108/576

x = 0.1875hr

Convert to minute

x = 0.1875×60

x = 11.25minutes

Hence it took the ride 11.25minutes

Answer:

=B2*C2+B3*C32.29*20 = 45.80 and 3.49*35 = 122.15.

Step-by-step explanation:

Step-by-step explanation:

step 1. 4/.5 x 50 = 400 ounces needed

step 2. 400 ounces (1 lb/16 oz) = 25 lbs.

25 pounds of raw sausages are required to feed 50 people.

Cooked sausage per person = 4 ounces

Amount of cooked sausage required =

(Number of ounce per person × number of persons)

(4 × 50) = 200 ounces of cooked sausage

Yield of sausage once cooked = 50% of raw of sausage

Hence, to obtain 200 ounces of cooked sausage,

Then ; the amount of raw sausage required will be :

(200 ounces) ÷ 50% = 200 ÷ 0.5 = 400 ounces

Converting ounces to pounds :

1 ounce = 0.0625 pounds

400 ounce = (400 × 0.0625) = 25 pounds

Hence, 25 pounds of raw sausages are required

Learn more : https://brainly.com/question/24397941

Answer:

y = 1/20x + 6

Step-by-step explanation:

The number of minutes is your x-value. The amount charged is your y-value.

Let's convert the numbers in the table into coordinates.

(30, 7.5)

(120, 12)

(220, 17)

Now, we will take two points and use the slope formula to plug into the slope-intercept equation: y = mx + b

I chose the first and last points given. All three points do not lie on the same line, but using the first and last point should be closer to the line of best fit.

(30, 7.5) & (220, 17)

m = (y₂ - y₁) / (x₂ - x₁)

m = (17 - 7.5) / (220 - 30)

m = (9.5) / (190)

m = 0.05 = 5/100 = 1/20

m = 1/20

Plug m into your equation.

y = 1/20x + b

To find b, plug in a point for x and y.

17 = 1/20(220) + b

17 = 11 + b

b = 6

Plug b into your equation.

y = 1/20x + 6

Hope this helps!

Answer:

72 degrees

Step-by-step explanation:

let the ratio be 2x and 3x

2x + 3x =180° ( co interior angles )

5x = 180°

x = 180 ÷ 5

x = 36°

And the smaller angle = 2 × 36° = 72°

Answer:

I need more info to answer this question.

Step-by-step explanation:

Answer:

[tex]\frac{11}{36}[/tex]

Step-by-step explanation:

= 1/6 + 1/6 - 1/6^2

Answer:

4

Step-by-step explanation:

1 / 4 x (21 - 5) =

1/4 x 16 = 4

Hope that helps!

Answer:

25 students are in the chess club

Step-by-step explanation:

100×5=500

500÷20=25

I hope it's correct:)

Answer:

25 students

and how?

its 2          5         S       T      U       D          E         N        T         S

72 nuts mix the trail 4 ➕ 8

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

5y-7=5d+3y

we will subtract 3y from both sides

5y-3y-7=5d

we will add 7 on both sides

2y=5d+7

we divide by 2

y=(5d+7)/2

or

y=5d/2+7/2

Answer:

Step-by-step explanation:

142/596 ≅ 0.238 = 23.8%

[tex] \frac{142}{596} \times 100[/tex]

= 23.8255....

= 23.8%

Answer:

0.05

Step-by-step explanation:

checked via khan academy

Rounding to the nearest hundredth, 0.06 = 6% probability that the first new customer places the 5th order.

Probability is the extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.

We want to find that the first order placed by a new customer is the 5th.

We have that:

8% = 0.08 probability that an order is placed by a new customer.

1 - 0.08 = 0.92 = 92% probability that an order is placed by an old customer.

Probability that the first order placed by a new customer is the 5th:

First four all old, each with 0.92 probability.

Firth new, with 0.08 probability. So

[tex]p=(0.94)^4\times 0.08=0.0573[/tex]

Rounding to the nearest hundredth, 0.06 = 6% probability that the first new customer places the 5th order.

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Answer:

2cm³

Step-by-step explanation:

Answer:

10:9

Step-by-step explanation:

Answer:

a) [tex]S(t) = 42(0.9995)^t[/tex]

b) It will take 10,692 years.

Step-by-step explanation:

Exponential function to determine the amount of substance:

An exponential function to determine the amout of substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

(a) Write an equation to determine the amount of substance, S, left after t years.

Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].

We use this to find r. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]

[tex](1-r)^{1300} = 0.5[/tex]

[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]

[tex]1 - r = 0.9995[/tex]

[tex]r = 0.0005[/tex]

Sample of 42 grams means that [tex]A(0) = 42[/tex]. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

Replacing A by S, just for notation purposes

[tex]S(t) = 42(0.9995)^t[/tex]

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

This is t when [tex]S(t) = 0.2[/tex]. So

[tex]S(t) = 42(0.9995)^t[/tex]

[tex]0.2 = 42(0.9995)^t[/tex]

[tex](0.9995)^t = \frac{0.2}{42}[/tex]

[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]

[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]

[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]

[tex]t = 10692[/tex]

It will take 10,692 years.

Answer:

$67.49 and 1/4 of a cent

Step-by-step explanation:

25% of 89.99 = 224975

89.99-22.4975=67.4925

Answer:

25%=1/4  1/4 of 90= 22.5  90-22.5=67.5

Step-by-step explanation:

Answer:

x=140times0.4

Step-by-step explanation:

then subtract your anser from 140

Answer:

he has 0.56 cents

Step-by-step explanation:

Answer:

I think the answer is 30.24

take off that is because 35 - 20% equals$28 plus 8% tax equals 30.24 so that's how I got that

Answer:

$2,462,825.99 is the interest accrued

Step-by-step explanation:

hope this helps

Answer:

2.60

Step-by-step explanation:

Given that:

n = 1600

[tex]\hat p = 0.34[/tex]

[tex]P_o = 0.31[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{\hat p - P_o}{\sqrt{ \dfrac{P_o\times (1-P_o) } {n} }}[/tex]

[tex]Z = \dfrac{0.34-0.31}{\sqrt{ \dfrac{0.31 \times (1-0.31) } {1600} }}[/tex]

[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.31 \times (0.69) } {1600} }}[/tex]

[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.2139} {1600} }}[/tex]

[tex]Z = 2.60[/tex]

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.

Kenji ran faster than the class average by 0.25 of a standard deviation while Nedda was slower than the average in her class.

b.

Rachel: average - 1st deviation

Kenji: average - 0.25 standard deviation

Nedda: slower than average so it's definitely not her.

Since Rachel is faster than the average and differs by the most standard deviations compared with Kenji,

So, Rachel is the faster one.

Answer:

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Answer:

The half-life (t1/2) is the time taken for the activity of a given amount of a radioactive substance to decay to half of its initial value.

P/S 1: Are you sure that your question is related to maths?

+ Bonus: The half-life can be calculated from the decay constant as follows: half-life = ln (2) / (decay constant).

P/S 2: Not sure which is right tho:( Really sorry about that.

Answer:

300

Step-by-step explanation: