The graph shows Sam's earnings. What is the constant
of proportionality between Sam's earnings and the
number of hours he worked?

Answer:

10.8 g

Step-by-step explanation:

Exponential decay equation:  [tex]A=A_0e^{-rt}[/tex]

[tex]A_0[/tex] is the initial amount (at time t = 0, "noon")

r is the decay rate

You have two pieces of information:

Noon   t = 0  [tex]A_0=50[/tex]

3:00 pm  t = 3  [tex]A=30[/tex]

Plug those in to get  [tex]30=50e^{-r(3)}[/tex]

Divide by 50.

[tex]0.6=e^{-3r}[/tex]

Take the natural log of both sides.

[tex]\ln(0.6)=-3r[/tex]

Divide by -3.

[tex]\frac{\ln{(0.6)}}{-3}=r\\\\r \approx .17027[/tex]

Now, for 9:00 pm, use this value of r and  t = 9.

[tex]A=50e^{-.17027(9)} \approx 10.8[/tex]

Answer:

4) Present area of the room:

A = S x S or S²

A = (5)²

A = 25 m²

Extension:

A = lw

A = 5 m • 4 m

A = 20 m²

5) The area after the room is enlarged:

A = 25 m + 20 m

A = 45 m²

Answer:

Present area:

The enlarged area:

Answer:

19,29,76

Step-by-step explanation:

x=first number

x+10=second number

4x=third number

add three numbers to equal 124.

x+(x+10)+4x=124

6x=114

x=19 first number

x+10 0r

19+10=29 second number

4x or

4(19)=76 third number

19+29+76=124

124=124

Answer:

(6.2, 8.8)

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5 hours

Standard deviation = 1.3 hours

About 68% of adults:

Within 1 standard deviation of the mean. So

7.5 - 1.3 = 6.2 hours

7.5 + 1.3 = 8.8 hours.

So the answer is (6.2, 8.8).

Answer:

the short side is equal to 2 feet

Step-by-step explanation:

24 = (2x)*(x-4) = 2x² -8x

you'll just use solve on your calculator and get that the x is equal to -2 or 6

which means the short side must be equal to 2

Answer:

Step-by-step explanation:

Sides are:

The area is the product of the long and short sides:

The short side is:

Answer:

The area of AEBC is 36 cm²

hope it is helpful to you

Answer:

1. 50-x

2. 2x+189

3. x+109

4. x+99

5. x*(76-39)

6. 75+x

7. 45-3x

8. 2x+15

9. 3x-25

10. x*(x+88)

Step-by-step explanation:

Answer: 9.85 inches

Step-by-step explanation:

Each point on the graph represents the total rainfall in one month in this desert. For instance, the 2 points on top of 1.0 inches indicates that there were two months in the year where rainfall was 1.0 inches.

The total rainfall in this desert was therefore:

= 0.4 + 0.5 + 0.5+ 0.6 + 0.85 + 0.85 + 0.95 + 1.0 + 1.0 + 1.05 + 1.05 + 1.1

= 9.85 inches

Answer:

600 pounds of gunk

Step-by-step explanation:

Given data:

Initial volume of water = 200 gallons

Initial mass of gunk = 100 pounds

dumping rate of pipe( contaminated water into tank ) = 16 gallons per minute

concentration of Gunk = 0.6 pounds / gallon

removal rate of second pipe = 14 gallons per minute

Determine how much gunk will be in the tank when the tank is full

Amount of gunk when tank is full = 599.99 pounds ≈ 600 pounds ≈

Attached below is a detailed solution

Answer:

4 * 7/8

Step-by-step explanation:

It's asking to multiply.

Answer:

10 busses

Step-by-step explanation:

285÷30=9.5

9.5 would round up to 10

Answer:

The formula to generate 70% confidence interval is: [tex][\overline{x} - 0.013, \overline{x} + 0.013][/tex], in which [tex]\overline{x}[/tex]  is the sample mean.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.

Now, find the margin of error M as such

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

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.

This means that [tex]\sigma = 0.04[/tex].

Sample of 10 birds:

This means that [tex]n = 10[/tex].

The margin of error is of:

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

[tex]M = 1.037\frac{0.04}{\sqrt{10}}[/tex]

[tex]M = 0.013[/tex]

The lower end of the interval is the sample mean of [tex]\overline{x}[/tex] subtracted by M.

The upper end of the interval is the sample mean of [tex]\overline{x}[/tex] added to M.

Then, the formula to generate 70% confidence interval is: [tex][\overline{x} - 0.013, \overline{x} + 0.013][/tex], in which [tex]\overline{x}[/tex]  is the sample mean.

Answer:

77.40

Step-by-step explanation:

Answer:

12 red marbles in the bag

Answer:

8 x 6 = 48

48 divided by 2 = 24

24 x 2 = 48

10 x 12 = 120

120 x 2 = 240

8 x 12 = 96

Add all given areas:

48 + 96 + 240 = 384 in2 is your answer.

Answer:

A. Joint in knee

Step-by-step explanation:

There's the articular cartilage on top of the bones in the joint, and the meniscus cartilages that act as shock absorbers between the bones.

Answer:

Analysis for these data will be based on a __survey__ design.

Step-by-step explanation:

A survey design is a process through which surveys are conducted to acquire enough insight about a given situation or matter of interest.  In this case, the National Park Service's interest is finding out the amount of money that visitors in the two different national parks spend.  Visitors are sampled from each park to get the required information.  The mean spends are calculated and then compared.

Answer: tens

Step-by-step explanation: after ones comes tens, before ones comes decimal point

Answer:

37

Step-by-step explanation:

top triangels 3 x4 = 12

Side triangels 1 x 5 = 5

the squer   4x 5 = 20

20 +5 +12= 37

Answer:

Step-by-step explanation:

20 inches i think

volume of cone

= ⅓πr²h

= ⅓ × 3.14 × 9 × 9 × 12

= 3.14 × 3 × 108

= 3.14 × 324

= 1017.36 cm³

Answer:

A is 55°

B is 60°

Step-by-step explanation:

A + 125° = 180° (since they're in a straight line, they're a linear pair. Sum of the angles equals 180°)

A = 180° - 125°

A = 55°

A + B + 65° = 180°

A, B and 65° are angles of a triangle, so the sum of these 3 angles equals 180°

A + B + 65° = 180°

Since angle A equals 55°,

55° + B + 65° = 180°

120° + B = 180°

B = 180° - 120°

Angle B equals 60°

Answer:

C=20

Step-by-step explanation:

1. 25÷5=5

2. 5×4=20

I hope this helped☺

Answer:

Same Class lol

Step-by-step explanation:

Answer: It would cost $10 for 2 baseballs

Step-by-step explanation:

1.) You take 45 and divide it by 9 to find the cost of 1 baseball

2.) You then take the cost of a baseball and multiply it by 2

Hi there!

[tex]\large\boxed{P = \frac{1}{4}}[/tex]

We can assume from the image that the region G is approximately 1/4 of the total spinner.

Thus, the probability of the spinner landing on section G is 1/4.

3. True

4. False

5. False

6. True

7. False

I dont know numbers 1, 2, or 8.

The statement 4,5 and 7 are false and the statements 3 and 6.

We have given that,

Ceva's theorem can always be used to determine whether or not medians of a triangle are concurrent.

Ceva's theorem can always be used to determine whether or not the altitudes of a triangle are concurrent.

In Lobachevskian geometry, the sum of the angles of a triangle is less than 180 degrees

In Riemannian geometry, the sum of the angles of a triangle is less than 180 degrees.

In Lobachevskian geometry, the summit angles of a Saccheri quadrilateral are obtuse

In Riemannian geometry, the summit angles of a Saccheri quadrilateral are obtuse

In euclidian geometry, the summit angles of a Saccheri quadrilateral are obtuse

In a circle, if an inscribed angle and a central angle intercept the same arc,

We have to determine the statement true or false.

A Riemannian manifold or Riemannian space, so-called after the German mathematician Bernhard Riemann, is a real, smooth manifold M equipped with a positive-definite inner product gI on the tangent space TIM at each point p.

Therefore, The statement 4,5, and 7 are false, and the statements 3 and 6.

To learn more about the Riemannian geometry visit:

https://brainly.com/question/12497432

#SPJ2

Step-by-step explanation:

B.12x + 1

if it helps brainiest lol