MATHEMATICS HIGH SCHOOL

Which expression shows the result of applying the distributive property to 14(−3n+32)14(−3n+32) ?

Answers

Answer 1

Answer: -42n+448-42n+448

-84n+896

Answer 2

Answer:

Answer:

-84n + 896

Step-by-step explanation:

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Today only, a table is being sold at a 35% discount. The sale price is $624. What was the price yesterday.

Answers

Answer:

$624

Step-by-step explanation:

brainlyest please:)

For the investment with interest compounded annually, find the final balance using the formula A = P(1 + r)t. $600 for 4 years at 5%

A.
$120

B.
$129.30

C.
$720

D.
$729.30

Answers

A=P(1+r)^t

A=amount
P=presnne amount
R=rate
T=time in years

P=600
T=4
R=5%=0.05

A=600(1+0.05)^4
A=600(1.05)^4
A=729.304

D is answer

Luis walked 2 3/4 miles in 2 hours. How many miles did he walk in one hour?

Answers

The number of miles walked by Louis in 1 hour is given by the equation

A = 11/8 miles = 1 3/8 miles

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of miles walked by Louis in 1 hour be A

Now , the equation will be

The number of miles walked by Louis in 2 hours = 2 3/4 miles

The number of miles walked by Louis in 2 hours = 11/4 miles

Now ,

The number of miles walked by Louis in 1 hour A = ( 1/2 ) x number of miles walked by Louis in 2 hours

Substituting the values in the equation , we get

The number of miles walked by Louis in 1 hour A = ( 1/2 ) x 11/4 )

On simplifying the equation , we get

The number of miles walked by Louis in 1 hour A = 11/8 miles

Therefore , the value of A is 1 3/8 miles

Hence , the number of miles is 11/8 = 1 3/8 miles

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Answer:

1 3/8

Step-by-step explanation: divide by 2 (11/16) then add them together to see if you get 2 3/4

A rotating light on top of a lighthouse sends outrays of light in opposite directions. As the beacon
rotates, the ray at an angle 8 makes a spot of light
that moves along the shore. The lighthouse is
located 500 m from the shoreline and makes
one complete rotation every 2 min.
Determine the equation that expresses the
distance, d, in metres, as a function
of time, t, in minutes.

Answers

Answer:

$\sf d = 500 \cdot (\theta(t))$

Step-by-step explanation:

The equation can be derived using the following trigonometric identity:

That is:

$\sf tan(\theta) =( opposite )/( adjacent)$

In this case, the opposite side is the distance from the lighthouse to the shoreline and the adjacent side is the distance from the lighthouse to the spot of light on the shoreline (500m)

The angle is equal to the angle of the light beam.

It is changeable according to the time. so,

$\sf \theta \textsf{ will be } \theta t$

Substituting these values into the trigonometric identity gives us the following equation:

$\sf tan(\theta t) = (d)/(500)$

Solving for d gives us the following equation:

$\sf d = 500 \cdot (\theta(t))$

Therefore, the equation to express the distance, d, in metres, as a function of time, t, in minutes is:

$\sf d = 500 \cdot (\theta(t))$

A manufacturer of metal washers needs to determine the cross-sectional area of each washer. If the outer radius of the washer is R and the radius of the hole is r, express the area of the washer as a polynomial. Factor this polynomial completely.

Answers

A=π(R+r)(R-r) is the factorization of the polynomial.

What is Polynomial?

Factoring a polynomial exists expressing the polynomial as a product of two or more factors; it stands somewhat like the reverse process of multiplying.

A polynomial exists as an expression consisting of indeterminates (also named variables) and coefficients, that concern only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

The hole in the washer will never contain an area because it does not occupy any surface of the object.

The area of any circle is $\pi r^(2)$ .

To discover the area of this washer, take the area of the outer circle minus the area of the inner circle (the hole).

$A=\pi R^(2)-\pi r^(2)$

$A=\pi\left(R^(2)-r^(2)\right)$

The term $\left(R^(2)-r^(2)\right)$ is a difference in perfect squares.

$A=\pi(R+r)(R-r)$

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The c.s.a. is found by subtracting the area of the hole from the total area (including the hole):
$c.s.a.=\pi R^(2)-\pi r^(2)$
Factorizing completely we get:
$c.s.a.=\pi(R+r)(R-r)$

Andrea bought tacos from a food truck and left a 25% tip 2.00

Answers

What you have to do is multiply 2.00 by 0.25 and you’ll get .50. she left a 50 cent tip

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