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2 years ago

Which of the following rules describes the pattern in the table?

Mathematics

1 answer:

sattari [20]2 years ago

6 0

Answer:

b = e + 4

b = e + 4 i think that is the pattern in the table

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A cat us running away from a dog .after 5 seconds it is 16 feet away from the dog and after 11 seconds it is 28 feet away from t

kvasek [131]

11< or equal to x i think

8 0

2 years ago

Read 2 more answers

Ethan's taxable income is $87,525. Use this tax schedule to calculate the total amount he owes in taxes.

V125BC [204]

Answer: $18,617.75 is the answer

$87,525-$77,100=$10,425 (the amount over $77,100)

$10,425 x .28=$2,919 (the 28% taxed amount over $77,100)

$2,919+$15,698.75 (the already taxed amount in the chart)=$18,617.75

Step-by-step explanation:

6 0

2 years ago

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A paddleboat can move at a speed of 4 km/h in still water. The boat is paddled 12 km downstream in a river in the same time it

Bas_tet [7]

Answer:

Speed of the river = $\frac{4}{3}$ km per hour

Step-by-step explanation:

Speed of the boat in still water = 4 km per hour

Let the speed of the river = v km per hour

Speed of the boat upstream = (4 - v) km per hour

Time taken to cover 6 km = $\frac{\text{Distance}}{\text{Speed}}$

= $\frac{6}{4-v}$ hours

Speed of the boat downstream = (4 + v) km per hour

Time taken to cover 12 km = $\frac{12}{4+v}$ hours

Since, time taken by the boat in both the cases is same,

$\frac{6}{4-v}= \frac{12}{4+v}$

6(4 + v) = 12(4 - v)

24 + 6v = 48 - 12v

12v + 6v = 48 - 24

18v = 24

v = $\frac{24}{18}$

v = $\frac{4}{3}$ km per hour

3 0

2 years ago

The reproduction function for a sardine is f(p) = −0.0005p2 + 4p, where p and f(p) are in hundred metric tons. Find the populati

tensa zangetsu [6.8K]

Answer:

Population (p) = 4,000 hundred metric tons

Size of the yield (f(p)) = 8,000 hundred metric tons

Step-by-step explanation:

The population of sardines 'p', for which the derivate of the function f(p) is zero, is the population that gives the maximum sustainable yield:

$f(p) = -0.0005p^2 + 4p\\\frac{df(p)}{dp}=-0.0010p+4\\-0.0010p+4 =0\\p=4,000$

The size of the maximum sustainable yield is:

$f(p) = -0.0005p^2 + 4p\\f(4,000) = -0.0005(4,000^2) + 4*4,000\\f(4,000) = 8,000$

Population = 4,000 hundred metric tons

Size of the yield = 8,000 hundred metric tons

3 0

2 years ago

In ΔCDE, the measure of ∠E=90°, the measure of ∠D=23°, and EC = 1.3 feet. Find the length of DE to the nearest tenth of a foot?

Rina8888 [55]

Answer:

DE = 1.2ft

Step-by-step explanation:

It's actually a lot easier for someone to just draw a diagram. I recommend it in the future!

This is a right-angle triangle, so I'm guessing it's Sohcahtoa.

cos23° = DE/1.3

DE = 1.3cos 23°

DE = 1.1966...

Rounded:

DE = 1.2

5 0

2 years ago