What is the y-intercept of the graph of the equation y=3(2^x) a.6 b.3 c.2 d.8

three families are traveling the same route across country. the first family stops every 240 kilometers. the second family stops

kogti [31]

Answer:

The three families will stop at the same place at 1,200 kilometers.

Step-by-step explanation:

1. Let's check all the information given to answer the question:

Family A or 1 stops every 240 kilometers

Family B or 2 stops every 200 kilometers

Family C or 3 stops every 300 kilometers

2. After how many kilometers will they stop at the same place?

Family A or 1 will stop at 240, 480, 720, 960 and 1,200 kilometers.

Family B or 2 will stop at 200, 400, 600, 800. 1,000 and 1,200 kilometers.

Family C or 3 will stop at 300, 600, 900. and 1,200 kilometers.

As we can check the first common stop will be at 1,200 kilometers.

7 0

3 years ago

Find the geometric mean of 11 and 23. Round your answer to the nearest tenth.

djyliett [7]

Answer: 15

Step-by-step explanation:

4 0

3 years ago

An estimated regression equation that was fit to estimate ductility in steel using its carbon content was found to be significan

AnnZ [28]

Answer:

At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.

Step-by-step explanation:

Hello!

Considering the dependent variable:

Y: Ductility in steel.

And the independent variable:

X: Carbon content of the steel.

The linear regression was estimated and a prediction interval was calculated.

The prediction interval is calculated to predict a value that the variable Y (response variable) can take for a given value of the variable X (predictor variable) in the definition range of the linear regression line. Symbolically [Y/X= $x_{0}$ ]

In this case 95% prediction interval for Y/X=0.5

At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.

I hope it helps!

6 0

3 years ago

What is the area of this polygon?

ra1l [238]

Step 1) Draw a line from point F to point S. A rectangle forms (rectangle FSCW)

Step 2) Find the area of this rectangle. The area is 18 square units because it is 2 units high and 9 units across (9*2 = 18). You can count out the spaces or you can note how we go from x = -4 to x = 5 so subtracting the values gives -4-5 = -9 which has an absolute value of 9.

Step 3) Find the area of triangle FSN. The base is 9 units and the height is 6 units (count out the spaces or subtract y values). So the area is A = b*h/2 = 9*6/2 = 54/2 = 27

Step 4) Add up the area of the rectangle to the area of the triangle: 18+27 = 45

Final Answer: 45 square units

note: another way to find the answer is to find the area of rectangle WABC where point A is at (-4,4) and point B is at (5,4). Then subtract off the triangular areas of AFN and BNS

6 0

3 years ago

Read 2 more answers

In ΔVWX, \text{m}\angle V = (7x-1)^{\circ}m∠V=(7x−1) ∘ , \text{m}\angle W = (4x+16)^{\circ}m∠W=(4x+16) ∘ , and \text{m}\angle X

Anika [276]

Answer:

m∠X= 22°

Step-by-step explanation:

In ΔVWX:

m∠V=(7x−1) ∘

m∠W=(4x+16) ∘ ,

m∠X=(3x−17) ∘ . Find M∠X.

Step 1

We find the variable x

The sum of angles in a triangle is 180°

Hence,

ΔVWX = m∠V + m∠W +m∠X

180° = (7x - 1)° + (4x + 16)° + (3x - 17)°

180° = 7x - 1 + 4x + 16 + 3x - 17

180° = 7x + 4x + 3x - 1 + 16 - 17

180° = 14x -2

Collect like terms

180° + 2 = 14x

182° = 14x

x = 182°/14

x = 13°

Step 2

We find m∠X

m∠X = (3x−17) ∘

x = 13

m∠X = (3 × 13 − 17)°

m∠X = (39 − 17)°

m∠X = 22°

5 0

2 years ago

What is the y-intercept of the graph of the equation y=3(2^x)a.6b.3c.2d.8