A 6-ft-tall person walks away from a 11-ft lamppost at a constant rate of 3.3 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 10 ft away from the lampost

Answer:

25

Step-by-step explanation:

The correct equation to calculate the original price of the item is,

⇒ 0.75y = 16

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Store has a sale for 25% off all items.

And, The sale price of an item is $16.

Now, Let the original price of an item = y

So, We can formulate;

⇒ y - 25% of y = 16

⇒ y - 0.25y = 16

⇒ 0.75y = 16

Thus, The correct equation is,

⇒ 0.75y = 16

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Answer:

Ok what is something times 4 to give you 24 that's 6 so what is something times 6 that will give you 18 thats 2 so then what times 6 will give you 60 thats 10 and the same thing for 5 ,5 times 6  equals 30.

Step-by-step explanation:

4/24 is dividing = 6

18/6 = 2

60/6=10

5 x 6 = 60

6,2,10,60 are your answers

Answer:

It's not that hard. Use your eyes to look for it.

Step-by-step explanation:

Answer:

i wish i could help

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

Properties of a rational number:

1). A decimal number which has the repeating numbers after decimal is a rational number.

Example: 2.134134134......

Here 134 is repeating after decimal so the number is a rational number.

2). A decimal number which can be written as a fraction is a rational number.

Example: 0.25 = [tex]\frac{1}{4}[/tex]

Here 0.25 can be written as a fraction [tex]\frac{1}{4}[/tex] therefore, its a rational number.

In the given options,

Option A

No repeating numbers in first number therefore its an irrational numbers.

Option B

0.684 = [tex]\frac{171}{250}[/tex]

Option C

First number is an irrational number.

Option D

First number is an irrational number.

Therefore, Option (B) is the answer.

Answer:D

O D. 0.684 and 0.1222...

Answer:

(-2, 3)

Step-by-step explanation:

Answer:7

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 Units to the right :

-1 = 0 Units

0 = 1 Units

1 = 2 Units

2 = 3 Units

3 = 4 Units

4 = 5 Units

5 = 6 Units

Hope this helps! <3

Answer:

30,340 ft

Hope this helps.

Answer:

a)[tex]1.3887943865 \times 10^{-11}[/tex]

b)P(X>5)=1

Step-by-step explanation:

[tex]P(X=x)=\frac{e^{-\lambda} \lambda^k}{k!}[/tex]

We are given that Messages arrive at a computer at an average rate of 25 messages per second.

[tex]\lambda = 25[/tex]

a) Find the probability that no message arrive in 1 second.

[tex]P(X=0)=\frac{e^{-25} (25)^0}{0!}\\P(X=0)=\frac{e^{-25} (25)^0}{0!}\\P(X=0)=1.3887943865 \times 10^{-11}[/tex]

b) Find the probability that more than 5 messages arrive in a 10-second period.

[tex]P(X>5)=1-P(X \leq 5)[/tex]

[tex]P(X>5)=1-\sum_{0}^{10} (P(X=0)+P(X=1)+........+P(X=5))[/tex]

P(X>5)=1

Answer:

y=560-40x

Step-by-step explanation:

you start with 560 pages and you read 40 pages a day so you take away 40 pages from the total per x.

Answer: B, it fails it he vertical line test.

Step-by-step explanation: If you made vertical line anywhere on the graph line, it would intersect at two points, making it fail the vertical line test.

Answer:

399/500

Step-by-step explanation:

the reason for this is because the area of the devision "1000 randomly selected flights of a major airline showed that 798 of the flights arrived on time" means that this is divided into places to make a full example

The probability of event of a flight arriving on time will be -

P(A) = 399/500.

Probability is the extent to which an event is likely to occur and is measured by the ratio of the favorable cases to the total number of cases possible.

Given is a study of 1000 randomly selected flights of a major airline which showed that 798 of the flights arrived on time.

Let event A represents the arrival of flight on time.

Total number of favorable cases = 798

Total number of possible cases = 1000

Then the probability of event A will be -

P(A) = 798/1000 = 399/500

Therefore, the probability of event of a flight arriving on time will be -

P(A) = 399/500

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Answer:

6

Step-by-step explanation:

If the recipe calls for 4 cups of broccoli and she only has 2/3 cup measure you have to think how many 1/4 are in a cup there are 3 1/4 in 1 cup and you count 1/4, 2/3, 1 cup. So...you have to count the cups is 6.

hope this helps I maybe be wrong sorry☺️

Answer:

i need help on my work because im lost

Answer:

6

Step-by-step explanation:

I don't know how I got the answer but it was right so...

Answer:

Z = 16Y

For instance, let's say we want to know how many ounces there are in 2 pounds.

We'd enter in Z = 16(2). This would be simplified to Z = 32. Now, we know that there are 32 ounces in 2 pounds.

Answer:

(5,-9)

Step-by-step explanation:

use formula [tex]y^2-y^1/x^2-x^1[/tex]

so, 3-(-2)/-5-4

which gives you (5,-9)

Answer:

Step-by-step explanation:

Distribute first!

2 (x-3) + 6(4x +1)

Then add your like terms:

2x-6 + 24x +6

24x + 2x/ 6-6

ANSWER: 26x

Answer:

evaluate the terms within the parenthesis

Step-by-step explanation:

Answer:

F(6)=82

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.85 + 10

The function that Annie can use to calculate both price changes is f(p) = 1.85p+10. Therefore, option A is the correct answer.

Given that, a discount function on each price, d(p)=0.85p and then increase the resulting price is r(p)=p+10.

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Now, the function that Annie can use to calculate both price changes

f(p) = d(p)+r(p)

⇒ f(p) = 0.85p+(p+10)

⇒ f(p) = 1.85p+10

The function that Annie can use to calculate both price changes is f(p) = 1.85p+10. Therefore, option A is the correct answer.

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The payment made for apprentice plumbers is $36.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 60\% \times \$60[/tex]

= $36

Therefore we can conclude that the payment made for apprentice plumbers is $36.

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Answer:

i got -7/-11 but it might be wrong :/ sorry

Step-by-step explanation:

Answer:

x = 21

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x  = 21

Answer:

The answer is below

Step-by-step explanation:

The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? More than 21 days?

Answer: Z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}\\ \\x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that: μ = 14, σ = 3

a) For x < 10

[tex]z=\frac{x-\mu}{\sigma}\\ \\z=\frac{10-14}{3}=-1.33[/tex]

From the normal distribution table, P(x < 10) = P(z < -1.33) = 0.0918

b) For x > 21

[tex]z=\frac{x-\mu}{\sigma}\\ \\z=\frac{21-14}{3}=2.33[/tex]

From the normal distribution table, P(x > 21) = P(z > 2.33) = 1- P(z < 2.33) = 1 - 0.9901 = 0.0099

Answer:

5

Step-by-step explanation:

5*5=25

25*5=125

Answer:

6(4x-1)

Step-by-step explanation:

Answer:

-6-6/2-(-4)=-2

slope=-2

Step-by-step explanation:

Answer:

[tex]a=1[/tex]

[tex]b=-1[/tex]

Step-by-step explanation:

Once [tex](x-1)^2[/tex] is a factor and [tex](x-1)^2 = (x-1)(x-1)[/tex], we have that two roots of the cubic equation are equal to 1. So,

[tex]ax^3+bx^2+1 = (x-1)(x-1)(x-d)=0[/tex]

As [tex]d[/tex] the unknown root.

Expanding

[tex]ax^3+bx^2+1 = (x-1)(x-1)(x-d)=0[/tex]

[tex]ax^3+bx^2+1 = (x^2-2x+1)(x-d)=0[/tex]

[tex]ax^3+bx^2+1 = x^3-2x^2+x-dx^2+2dx-d=0[/tex]

Now, comparing the two expressions, we have

[tex]ax^3+bx^2+1 = x^3+(-2-d)x^2+(1+2d)x-d=0[/tex]

Therefore, know we know

[tex]a=1[/tex]

[tex]b=-2-d[/tex]

[tex]d=-1[/tex]

So,

[tex]b=-2-(-1)=-2+1=-1[/tex]