MATHEMATICS HIGH SCHOOL

Marvin walks at a speed of 7 feet per minute. How many miles per hour is this?

Answers

Answer 1

Answer:

Answer:

$(7)/(88)\ (miles)/(hour)$

$0.08\ (miles)/(hour)$

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s ----> the speed

x ----> the distance

y ----> the time

$s=(x)/(y)$

we have

$x=7\ ft$

$y=1\ min$

Remember that

$1\ mile=5,280\ feet$

$1\ hour=60\ minutes$

$x=7\ ft=(7)/(5,280)\ mi$

$y=1\ min=(1)/(60)\ h$

Find out the speed in miles per hout

$s=((7/5,280))/((1/60))=(420)/(5,280)\ (miles)/(hour)$

Simplify

$(7)/(88)\ (miles)/(hour)$

$0.08\ (miles)/(hour)$

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What is the sum of the arithmetic sequence 149, 135, 121, …, if there are 28 terms?−1,204
−1,176
−1,148
−1,120

Answers

The sum of the arithmetic sequence is -1120.

What is arithmetic sequence?

"It is a sequence of numbers in which the difference between consecutive terms is constant."

What is the sum of arithmetic sequence?

" $S_n=(n)/(2)[2a +(n-1)d]$

where a as the first term,

d the common difference between the consecutive terms,

n is the total number of terms in the sequence."

For given question,

We have been given an arithmetic sequence 149, 135, 121,. . .

The first term of given arithmetic sequence is 149

⇒ a = 149

The common difference is,

⇒ d = 135 - 149

⇒ d = -14

There are 28 terms.

⇒ n = 28

Using the formula for the sum of an arithmetic sequence,

$\Rightarrow S=(n)/(2)[2a +(n-1)d]\n\n\Rightarrow S=(28)/(2)[2* (149) +(28-1)* (-14)]\n\n\Rightarrow S=14*[298-378]\n\n\Rightarrow S=14* (-80)\n\n\Rightarrow S=-1120$

Therefore, the sum of the arithmetic sequence is -1120.

Learn more about the arithmetic sequence here:

brainly.com/question/25749583

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I needed my brother to help me with this one,so here is the answer.
The common difference is -14.

Let's simplify this by expressing each term as
163 - 14n
where n is the number of the term.

Then the sum of the 28 terms is
28 * 163 - 14 (1+2+3+...+28)
= 4,564 - 14 * 28 * 29 / 2
= -1,120

What is diffusion
Explain how blood clots
When was the first world war fought

Answers

Answer:

Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.

Step-by-step explanation:

What are the domain and range of the function f(x) = 3^x + 5

Answers

Answer:

Hence,

Domain: (-∞,∞)

Range: (5,∞)

Step-by-step explanation:

The domain of the function is the possible set of values at which the function is defined.

and the range of the function is the corresponding function values at the points of the domain.

e are given a function f(x) as:

$f(x)=3^x+5$

Clearly the function $3^x$ is defined for all the real values.

Hence, the function:

$f(x)=3^x+5$ is defined for all the real numbers.

Hence the domain of the function is: (-∞,∞) i.e. all of the real line.

Also we know that:

$3^x>0$ for all x.

Hence,

$3^x+5>5$ for all x.

Hence, the range of the function is:

(5,∞).

Hence,

Domain: (-∞,∞)

Range: (5,∞)

The range is y values and domain is x values

y intercept here is 5 and since the function is increasing thus the range would be all real values bigger than or equal to 5

And the domain would be all real numbers.

Volume of a cone is 593.46 cubic in, the radius is 9in what is the height to the nearest inch?

Answers

equation for volume of cone: v = π*r²*(h/3)
substitute the variables with the known number values:
593.46 = V
r = 9
Solve for h
(593.46) = π*(9)²*(h/3)
Solve for h! :-)

How does a digit in the ten thousand place compare to a digit in thousands place?

Answers

The digit in the ten thousands place is printed slightly to the left
of the one in the thousands place.

If they are the same digit, then the value of the one on the left is
ten times the value of the one on the right.

Simplify the following expression: (x + 6y) − (3x − 10y). If the final answer is written in the form Ax + By, what is the value of A?