Given f (x) and g(x)+k look at the graph below and determine the value of K

Answers

Answer 1

Answer:

Answer:

k=5

Step-by-step explanation:

Let's find the equation for both lines. For the line in blue we know that passes through points (0,-2) and (3,-1) with this information we can use the formula of the line:

$y-y_1=(y_2-y_1)/(x_2-x_1) (x-x_1)$

so making the susbtitution we get:

$y-(-2)=(-1-(-2))/(3-0)(x-0)$

$y=(1)/(3)x-2$

For the red line we know that passes through points (0,3) and (3,4) doing the same steps as above we get that

$y-(3)=(4-3)/(3-0)(x-0)$

$y=(1)/(3)x+3$

the value of k is 5 that's why because we need to move 5 units along the y axis to reach the 3 in the red line

Answer 2

Answer: The value of K is 5 because its going up 5 from the f(x) graph

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Hunter swims 1/3 mile in 1/6 of an hour. How far will he swim in one hour ?

Answers

Answer:

2 miles

Step-by-step explanation:

⅓ ÷ ⅙

⅓ × 6 = 2

Answer:

2 Miles.

Step-by-step explanation:

A bottle of cranberry juice contains 32 fluid ounces and costs $2.56. What is the unit rate?

Answers

$unit\ rate=(cost)/(number\ of\ ounces)\n\n unit\ rate=(2.56\$)/(32ounce)=0.08(\$)/(ounce)\n\n Unit\ rate\ is\ 0.08\$\ per\ one\ ounce.$

True or False The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units

Answers

Answer:

True

Step-by-step explanation:

Given: Statement :"The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units"

We have to choose whether the given statement s true or false.

Consider the given statement.

The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units

We first find the area of circle with 14 units radius and area of a sphere with 7 units radius and compare the two values.

We know,

Area of circle = $\pi r^2$

given : r = 14 units

So, Area of circle = $\pi (14)^2$

Simplify, we have,

Area of circle = $196\pi$ units²

Now,

Area of sphere = $4\pi r^2$

given : r = 7 units

So, Area of sphere = $4\pi (7)^2$

Simplify, we have,

Area of sphere = $196\pi$ units²

Since, Area of circle with radius 14 units is equal to the area of sphere with radius 7 units.

Thus, The given statement is true.

The answer is true. The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units

The baker recipe for loaf of bread calls 12 ounces of flour if he uses all of his flour to make loves of bread how many full loaves can he bake in two weeks

Answers

Answer:

102 full loaves of bread

Step-by-step explanation:

The complete question includes the next datum:

A baker uses 5.5 pounds of flour daily

In two weeks, that is, 14 days, he will use: 5.5 pounds * 14 = 77 pounds

The equivalency between pounds and ounces is

1 lb = 16 oz

Then, 77 pounds * 16 = 1232 ounces

Each loaf of bread calls 12 ounces of flour, so 1232 ounces / 12 ≈ 102 full loaves of bread

12 times 2 equals 24 so the Baker can make 24 loaves of bread

Describe two different methods to find the elapsed time from 2:30pm to 2:58pm

Answers

Answer:

We know that:

" Elapsed time is the time or difference between a beginning time and an ending time ".

Now the two different methods to find the elapsed time is:

Method 1:

Subtract 2:30 directly from 2:58.

2:58 - 2:30 = 0:28

Hence, the elapsed time is 28 minutes.

Method 2:

Round 2:58 to 3:00, subtract 2:30 from 3:00, and at the end subtract 2 to get the desired time(2:58 + 2 = 3:00)

( Since it is easy to calculate the whole numbers).

2:58 is approximately 3:00

3:00 - 2:30 = 30 min

30 min - 2 min = 28 min.

Hence, elapsed times is 28 minutes.

You could substract or you can count up till you get to 2:58pm from 2:30pm

The Pet Palace is replacing its dog training arena with a new arena with dimensions thatare twice as large ? Old arena 10ft in ht base 15ft.New arena 20ft in ht base 30ft How much greater is the new arena compare to the old one.answers given (a)450ft²(b) 280ft²(c)225ft²(d) 300ft²

Answers

(A) 450 ft squared.

First, calculate the old arena's dimensions.
10 x 15 = 150.

Calculate the new arena's dimensions.
20 x 30 = 600.

Now subtract 150 from 600.
600 - 150 = 450.

Hope I helped!

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