Priya can bike 150 meters in 20 seconds. At this rate, how long would it take her to bike 3,000 meters? Complete the table to help determine the number of seconds.

Answer:

81 degrees

Step-by-step explanation:

Applying the inscribed angle theorem, the measure of ∠EAB is: 81°.

The inscribed angle theorem states that an intercepted arc measure is always twice the measure of the inscribed angle in a circle.

Given the following:

We would therefore have the following:

1/2(ADB) = m∠EAB

Substitute

1/2(162) = m∠EAB

m∠EAB = 81°

Therefore, applying the inscribed angle theorem, the measure of ∠EAB is: 81°.

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Answer:

Step-by-step explanation:

As,

In a constant term the power of the variable is zero, so it's degree is 0.

Eg:

[tex]4 {a}^{0} [/tex]

Since,

[tex] {x}^{0} = 1[/tex]

Hence,

4 × 1 = 4

Here, The value remains unchanged hence it is the constant variable.

An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.

The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379

I've added the missing data as an attachment.

An exponential equation is represented as:

[tex]y = ab^x[/tex]

Where:

[tex]a \to[/tex] the first term

[tex]b \to[/tex] rate

[tex]x \to[/tex] years after 1999

[tex]y \to[/tex] depreciated value

When [tex]x = 0\ \&\ y=12500[/tex]

The equation [tex]y = ab^x[/tex] is:

[tex]12500 = ab^0[/tex]

[tex]12500 = a*1[/tex]

[tex]12500 = a[/tex]

[tex]a =12500[/tex]

When [tex]x = 1\, \&\ y = 10750[/tex]

The equation [tex]y = ab^x[/tex] is:

[tex]10750 = ab^1[/tex]

[tex]10750 = ab[/tex]

Substitute [tex]a =12500[/tex]

[tex]10750 = 12500 \times b[/tex]

Solve for b

[tex]b =\frac{10750 }{12500}[/tex]

[tex]b =0.86[/tex]

So, the equation is:

[tex]y = ab^x[/tex]

[tex]y = 12500(0.86)^x[/tex]

To calculate the depreciated value in 2010, we first solve for x in 2010

[tex]x = 2010 - 1999[/tex]

[tex]x = 11[/tex]

So, the depreciated value (y) is:

[tex]y = 12500(0.86)^x[/tex]

[tex]y = 12500 \times 0.86^{11}[/tex]

[tex]y = 2379[/tex]

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Answer:

it might be A but dont trust me

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

any thing times 1 is 1

Answer:

The total work done in pulling the bucket to the top of the well is approximately 3,139.1 ft·lb

Step-by-step explanation:

The given parameters are;

The mass of the bucket, W = 3.6 pounds

The depth of the well, h = 78 feet deep

The mass of water in the bucket = 38 ponds

The rate at which the water is pulled up = 2.9 feet per second

The rate at which water is leaking from the bucket, [tex]\dot m[/tex] = 0.1 pounds per second

We separate and find the work done for lifting the bucket and the water individually, then we add the answers to get the solution to the question as follows;

The work done in lifting bucket empty from the well bottom, [tex]W_b[/tex] = W × h

∴  [tex]W_b[/tex] = 3.6 pounds × 78 feet = 280.8 ft-lb

The work done in lifting bucket empty from the well bottom, [tex]W_b[/tex] = 280.8 ft-lb

The time it takes to lift the bucket from the well bottom to the top, 't', is given as follows;

Time, t = Distance/Velocity

The time it takes to pull the bucket from the well bottom is therefore;

t = 78 ft./(2.9 ft./s) ≈ 26.897

The time it takes to pull the bucket from the well bottom to the top, t ≈ 26.897 s

The mass of water that leaks out from the bucket before it gets to the top, m₂, is therefore;

m₂ = [tex]\dot m[/tex] × t

∴ m₂ = 0.1 lbs/s × 26.897 s = 2.6897

The mass of the water that leaks, m₂ = 2.6897 lbs

The mass of water that gets to the surface m₃ = m - m₂

∴ m₃ = 38 lbs  - 2.6897 lbs ≈ 35.3103 lbs

Given that the water leaks at a constant rate the equation representing the mass of the water as it is lifted can b represented by a straight line with slope, 'm' given as follows;

The slope of the linear equation m = (38 lbs - 35.3103 lbs)/(78 ft. - 0 ft.) = 0.03448[tex]\overline 3[/tex] lbs/ft.

Therefore, the equation for the weight of the water 'w' can be expressed as follows;

w = 0.03448[tex]\overline 3[/tex]·y + c

At the top of the well, y = 0 and w = 38

∴ 35.3103 = 0..03448[tex]\overline 3[/tex] × 0 + c

c = 35.3103

∴ w = 0.03448[tex]\overline 3[/tex]·y + 35.3103

The work done in lifting the water through a small distance, dy is given as follows;

(0.03448[tex]\overline 3[/tex]·y + 38) × dy

The work done in lifting the water from the bottom to the top of the well, [tex]W_{water}[/tex], is given as follows;

[tex]W_{water} = \int\limits^{78}_0 {0.03448\overline 3 \cdot y + 35.3103 } \, dy[/tex]

[tex]\therefore W_{water} = \left [ {\dfrac{0.03448\overline 3 \cdot y^2}{2} + 35.3103 \cdot y\right ]^{78}_0[/tex]

[tex]W_{water}[/tex] = (0.034483/2 × 78^2 + 35.3103 × 78) - (0.034483 × 0 + 38 × 0)  ≈ 2,859.1

The work done in lifting only the water, [tex]W_{water}[/tex] ≈ 2,859.1 ft-lb

The total work done, in pulling the bucket to the top of the well, W = [tex]W_b[/tex] + [tex]W_{water}[/tex]

∴ W = 2,859.1 ft.·lb + 280.8 ft.·lb ≈ 3,139.1 ft·lb

The total work done, in pulling the bucket to the top of the well, W ≈ 3,139.1 ft·lb.

Answer:

$80.24

Step-by-step explanation:

Answer:

vertical angles is the answer

Answer:

442

Step-by-step explanation:

624-183= 442 he needs to drive 442 miles more

Answer:

Standard deviation = 4

Step-by-step explanation:

Given the following data;

Mean = 25

Variance = 16

To find the standard deviation;

Mathematically, standard deviation is given by the formula;

[tex]Standard \; deviation = \sqrt{variance}[/tex]

Substituting into the formula, we have;

[tex]Standard \; deviation = \sqrt{16}[/tex]

Standard deviation = 4

Answer:

51

Step-by-step explanation:

180-86-43=51

Answer:

A

Hope that helps!

Step-by-step explanation:

Answer:

x=(-45)

Step-by-step explanation:

2+8+9+x+7+12=7

38+x=7

x=(-45)

38+(-45)=7

Answer: 128

Step-by-step explanation:

day 1: 1

day 2: 2

day 3: 4

day 4: 8

day 5: 16

day 6: 32

day 7: 64

day 8: 128

ALSO.

you can solve it by doing 2 to the power of 8

2^8 is the expression

Answer:

Step-by-step explanation:

= 4 + (-2)/ -3 + 3

= 4 - 2/ -3 + 3

= 2/0 If the denominator is 0, the value is undefined.

Answer:

2/0, which would be undefined.

Step-by-step explanation:

Answer:

The radius is 12.

Step-by-step explanation:

You're given the center and a point on the circle. The point and the center both have an x-coordinate of -5, so there is no horizontal distance between them. The distance is only in the vertical direction. The distance from 8 to -4 is 12. Since this is the distance from the center to a point on the circle, this equals the radius.

(a) The amount financed is $22,000.

(b) Total amount of monthly payments is $31,500.

(c) Amount of the finance charge is $9,500.

Down payment is the amount which has to be paid at the beginning of a transaction while buying a house or a car.

Given that,

Purchase price of the car = $27,000.00

Down payment = $5,000.00

Number of monthly payments = 60

Amount of monthly payment = $525

(a) Amount financed = Purchase price - Down payment

                                  = $27,000.00 - $5,000.00

                                  = $22,000

(b) Total amount of monthly payments = 60 × $525

                                                                = $31,500

(c) Amount of the finance charge = $31,500 - $22,000

                                                       = $9,500

Hence the amount financed is $22,000.

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#SPJ2

Answer:

w=15

Step-by-step explanation:

The way I found the answer is dividing 120 by 8 which equaled 15 and I made sure it was correct as I multiplied 8 by 15 and the answer was 120.

Answer:

638 in week

Step-by-step explanation:

4100×0,08=328

328+310=638

Answer:

i think b (super clean)

Step-by-step explanation:

Step by step explanation :

The two points are ,

We can find the midpoint by finding the median of x coordinate and y coordinate .

[tex]\tt\to Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint =\bigg(\dfrac{-3+1}{2},\dfrac{-5-3}{2}\bigg)\\\\\tt\to Midpoint = \bigg( \dfrac{-2}{2},\dfrac{-8}{2}\bigg) \\\\\sf\to\boxed{\orange{\tt Midpoint = (-1,-4)}}[/tex]

Answer:

Thanksgiving, median = 17

New year's eve, median = 8

Thanksgiving, IQR = 12

New year's eve, IQR = 10

THANKSGIVING has greater variability

Step-by-step explanation:

The median value of a box plot is the line which lies in the middle of the box :

From the plot, the best estimate :

Thanksgiving, median = 17

New year's eve, median = 8

THE Interquartile range, IQR is the difference between the upper quartile and lower quartile values, Q3 - Q1 ;

Lower quartile = the starting point of the box

Upper quartile = the endpoint of the box

From the plot ; Best estimate :

Thanksgiving :

Q1 = 12 ; Q3 = 24

IQR = Q3 - Q1 = 24 - 12 = 12

New year's eve :

Q1 = 5 ; Q3 = 15

IQR = Q3 - Q1 = 15 - 5 = 10

Thanksgiving :

Range = Maximum - Minimum

Range = (29 - 5) = 24

New year's eve:

Range = Maximum - Minimum

Range = 22 - 3 = 19

Hence, Thanksgiving has greater variability

Answer:

your answer will be 64 inch on your mathematics problem

Answer:

proved

Step-by-step explanation:

hope it helped!!!

Answer:

0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Did not receive an above average grade.

Event B: Did not attend class regularly.

Probability of an student not receiving an above average grade:

100 - 40 = 60% of 70%(attend class regularly).

100 - 10 = 90% of 100 - 70 = 30%(do not attend class regularly).

So

[tex]P(A) = 0.6*0.7 + 0.9*0.3 = 0.69[/tex]

Did not receive an above average grade and did not attend class regularly:

90% of 30%. So

[tex]P(A \cap B) = 0.9*0.3 = 0.27[/tex]

Find the probability that the student did not attend class regularly given that (s)he did not receive an above average grade

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.27}{0.69} = 0.3913[/tex]

0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade

Answer:

Divide the number of students who participate in the after school program by the number of students in the sample. Multiply by 100 to find the percentage.

Step-by-step explanation:

Use the random sample to make an inference about the sample and population.

Answer:

$90

Step-by-step explanation:

The shoes now cost 130% of the original cost

The original cost is 100%

Take the new amount and divide it by 130:

117/130 = .90

Then multiply that number by 100 to get the original percent

.90 x 100 = $90

To check, multiply $90 by 130% or 1.30 to make sure that a 30% increase makes the product $117

$90 x 1.30 = $117

Answer:

If you were marking these fractions on a number line, keep in mine that 1/2 is equivalent to 2/4. If each sides of the number line are divided into four parts per whole number, this info is useful.

Step-by-step explanation:

Hope this helped!