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2 years ago

What is the y-intercept of the line shown? -1 0 1

Mathematics

2 answers:

Hatshy [7]2 years ago

7 0

Answer:

-1

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis.

PIT_PIT [208]2 years ago

7 0

Answer:

$\huge\boxed{\sf y-intercept = -1}$

Step-by-step explanation:

<h3><u>Y-intercept is the point of the line of the equation where:</u></h3>

x = 0
the line of the equation passes through the y-axis.

Here,

<h3>y-intercept = -1</h3>

Since, this is the point where x = 0 and where the line passes through the y-axis.

$\rule[225]{225}{2}$

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A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea

erma4kov [3.2K]

Answer:

the volume of the sphere is

$33.51 in^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v = 64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

$v= l*b*h$

$v=l^{3}$

$64= l^{3}$

$l= \sqrt[3]{64}$

$l= 4 in$

also diameter d=length l

Diameter d= $4in$

Radius r = $\frac{d}{2}$ = $\frac{4}{2}$ = ${2 in}$

Height h= $4in$

we know that the volume of a sphere is given by

$v= \frac{4}{3} \pi r^{3}$

substituting into the formula we have

$v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}$

8 0

3 years ago

Ms. Anguiano is enjoying a bicycle ride on a country road

GalinKa [24]

Answer:

The rate is 13 miles per hour

Step-by-step explanation:

* Lets explain how to solve the problem

- Jim lives three miles east of State College

- At noon, he leaves his house and begins to walk due east at a

constant speed of 2 miles per hour

- Annie lives four miles north of State College

- At noon, she leaves her house and begins to bicycle due north at a

constant speed of 8 miles per hour

- The east is perpendicular to the north

* Lets solve the problem

∵ At noon means 12 p.m

∵ They moved till 1 p.m

∵ Jim walked for 1 hour and Annie bicycled for 1 hour

∵ The rate of Jim is 2 miles per hour

∵ The rate of Annie is 8 miles per hour

- The distance = rate × time

∴ Jim walked = 2 × 1 = 2 miles

∴ Annie bicycled = 8 × 1 = 8 miles

- Lets calculate the distance of Jim from the State College till his

position at 1 p.m

∵ Jim lives three miles east of State College

∴ His distance at 1 p.m = 3 + 2 = 5 miles east

- Lats calculate the distance of Annie from the State College till her

position at 1 p.m

∵ Annie lives four miles north of State College

∴ Her distance at 1 p.m = 4 + 8 = 12 miles North

- Lets find the distance between them at 1 p.m

∵ The north ⊥ east

- Use Pythagoras Theorem to find the distance

∴ The distance = √(5² + 12)² = √(25 + 144) = √169 = 13 miles

- The rate = distance/time

∵ The distance between them is 13 miles in 1 hour

∴ The rate = 13/1 = 13 miles per hour

* The rate is 13 miles per hour

6 0

4 years ago

Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They

stellarik [79]

Formula for compound interest is

Interest = Amount - Principal

Interest = $P(1+r)^{t}$ - P

Where r = rate in percent

t = time in years

For Jaina,

P = $300

r= 7%

t = 3 yrs

So, Interest = $300(1+0.07)^{3}$ - 300

For Tomas

P = $400

r= 4%

t = 3 yrs

So, Interest = $400(1+0.04)^{3}$ - 400

So pair of equations for Jaina and Tomas are

Interest = $300(1+0.07)^{3}$ - 300

Interest = $400(1+0.04)^{3}$ - 400

5 0

3 years ago

Read 2 more answers

Whats the answer to (m-n)(-3)

Likurg_2 [28]

The answer is -3m + 3n

3 0

3 years ago

At a food festival, 3/8 of the dishes were from china. Another 12.5% of the dishes were from japan. What percent of the dishes w

MrMuchimi

Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = $\dfrac38x$

Dishes from Japan = $12.5\% \text{ of }x= 0.125x$

Total dishes from China and Japan = $\dfrac38 x+0.125x=0.375x+0.125x=0.5x$

Dishes from other countries $= x- 0.5x= 0.5x$

Percent of dishes from other countries= $\dfrac{0.5x}{x}\times100\%= 50\%$

Hence, dishes from other countries = 50%

5 0

3 years ago