Find the volume of a cylinder with a diameter of 13 inches and a height of 17 inches. Round to the nearest tenth

When The Product of 15 and 40 is divided by the sum of 15 and 45 what is the quotient?

BaLLatris [955]

Answer:

10

Step-by-step explanation:

(15 x 40) / (15+40)

solve inside the parenthesis:

600/60

divide:

10

6 0

2 years ago

Identify the type of observational study (cross-sectional, retrospective, or prospective) described below. A research company

shepuryov [24]

Answer:

Cross Sectional

Step-by-step explanation:

A cross sectional is one in which an association is developed between a risk factor or an outcome.

In the given question the device is used to record the viewing habits of about 2500 households, and the data collected today will be used to determine the proportion of households tuned to a particular news program. There will be risk factor in today's research with the future developed program which will the outcome.

For example there are 20 students in my class who cannot write. So I develop a program to help them write. But the next year there may not be any student who would require such help.So there's a risk factor associated with the outcome.

Cross sectional results are recorded in a two ways table showing do's and don'ts.

7 0

2 years ago

SOMEONE EASE ANSWER NUMBER 4?

nlexa [21]

On analyzing the question we can say that the angle ∠JKM of the triangle ΔJKL would be 42 as line MK bisects ∠JKL into ∠JKM & ∠MKL.

From the question it follows that line MK bisects angle ∠JKL into ∠JKM & ∠MKL where M is the point in the interior of ∠JKL.

Therefore, as we have given m∠JKL = 84 & m∠MKL = 42

and we have to find m∠JKM , we will simply write the equation as follow

m∠JKL = m∠JKM + m∠MKL

Inserting values we get,

84 = m∠JKM + 42

m∠JKM = 42

Hence, angle m∠JKM of the triangle ΔJKL is 42.

Learn more about questions related to triangles and their angles here

brainly.com/question/13273388

#SPJ9

5 0

1 year ago

Questions are in the picture

gtnhenbr [62]

The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

(4, 0)

The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

(x1, y1) = (4, 0) and (x2, y2) = (x, 0)

This gives

d = √(x - 4)^2 + (√x - 0)^2

Evaluate the difference

d = √(x - 4)^2 + (√x)^2

Evaluate the exponent

d = √x^2 - 8x + 16 + x

Evaluate the like terms

d = √x^2 - 7x + 16

Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

Cross multiply

2x - 7 = 0

Add 7 to both sides

2x = 7

Divide by 2

x = 3.5

So, we have:

Substitute x = 3.5 in y = √x

y = √3.5

Evaluate

y = 1.9

So, the point is (3.5, 1.9)

The distance is then calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units