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2 years ago

Find the solution to each problem. Show all of your work.

1 answer:

6 0

1. 1 hour = 60 minutes

We convert 3 hours and 25 minutes to minute : 3 x 60 + 25 = 205 (minutes). Since 205 < 230, it took longer to get home than getting to the beach.

2. (Same convertion)

5 hours and 10 minutes = 5 x 60 + 10 = 310 (minutes)

So, the last day rained longer than the day before it.

3. 1 day = 24 hours.

We convert 3 days to hours : 3 x 24 = 72 (hours)

Since 72 > 68, Wendy's family lost their power longer than their neighbors.

4. 1 minute = 60 seconds

Convert 2 minutes and 2 seconds to seconds : 2 x 60 + 2 = 122 (seconds)

Since 122 > 121, it means Paul took longer to finish his race, which mean Jeff finished first (Rip Paul)

5.

Question : Bob bought 2 pizzas for him and his friend, Kevin. They both ate 1 pizza. Bob finished his pizza in 6 minutes and 45 seconds. Kevin finished his pizza in 400 seconds. Who finished first?

Solution : Convert 6 minutes and 45 seconds to seconds : 6 x 60 + 45 = 405 (seconds)

Since 405 > 400, Bob took longer to finish his pizza -> Kevin finished first.

You might be interested in

Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?

Serggg [28]

Answer:

Point-slope equation of this line:

$\displaystyle y - 1 = \frac{1}{2}(x-5)$ .

Step-by-step explanation:

The equation for a line in a cartesian plane can take multiple forms. This question gives

a point on the line, and
the slope of the line.

The point-slope form will the most appropriate.

What is the point-slope form equation of a line $l$ ?

In general,

$l:\; y - y_0 = m (x - x_0)$ ,

where

$x_0$ is the x-coordinate of the given point on the line,
$y_0$ is the y-coordinate of the given point on the line, and
$m$ is the slope or gradient of the line.

In other words, $(x_0,\; y_0)$ the point on the line.

For this line,

The point is $(5,\;1)$ , where $x_0 = 5$ and $y_0 = 1$ .
Gradient of the line $\displaystyle m = \frac{1}{2}$ .

Thus the equation for this line:

$\displaystyle y - 1 = \frac{1}{2} (x - 5)$ .

7 0

3 years ago

Taylor Swift wants to know the proportion of her fans who listened to her new single ME! within the first hour of it being relea

lara31 [8.8K]

Answer:

The parameter is the population proportion of fans who listened to her new single and has an estimated value of 90%.

Step-by-step explanation:

The parameter is a value that corresponds to a population, while an a value that corresponds to a sample is know as statistic.

She takes a sample to estimate, with a point estimate and probably with a confidence interval around this point estimate, the true proportion of fans who listened to her new single.

This is the paramater: the population proportion of fans who listened to her new single.

Its value comes from an estimation based on the sample proportion (point estimate).

The sample proportion is 90%, so we can estimate, as there is no bias, that the population proportion is also 90%.

8 0

3 years ago

The function f(x) = x^3 is transformed to f(x) = 4x^3. Which statement describes the graph of the transformed function?

Natalka [10]

Answer: Option D.

Step-by-step explanation:

The translation is defined as

$g(x)=kf(x)$

Where, k is stretch factor.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

It is given that,

$f(x)=x^3$

After transformation the function becomes

$f(x)=4x^3$

here, k=4>1, so the graph was stretched vertically by a factor of 4.

Therefore, the correct option is D.

8 0

3 years ago

Examine these points on line u and line v. Line u: (9, –8), (5, 4) Line v: (4, 2), (7, –7) How many points of intersection are t

Nezavi [6.7K]

There is no point of intersection between line u and line v.

Given that

These points on line u and line v.

Line u: (9, –8), (5, 4)

Line v: (4, 2), (7, –7)

We have to determine

How many points of intersection are there between line u and line v?

According to the question

To determine the point of intersection follows all the steps given below.

Line u: (9, –8), (5, 4)

The slope of the line u is,

$\rm Slope = \dfrac{4-(-8)}{5-9}\\\\Slope = \dfrac{4+8}{-4}\\\\Slope = \dfrac{12}{-3}\\\\Slope = -4$

And the value of c is at point (5, 4) is,

$\rm y = mx+c\\\\4= -3\times 5+c\\\\c = 4+15\\\\c=19$

The equation of u is y = -3x + 19.

And

Line v: (4, 2), (7, -7)

The slope of line V is,

$\rm Slope = \dfrac{-7-(2)}{7-4}\\\\Slope = \dfrac{-7-2}{3}\\\\Slope = \dfrac{-9}{3}\\\\Slope = -3$

And the value of c is at point (4, 2) is,

$\rm y = mx+c\\\\2= -3\times 4+c\\\\c = 2+12\\\\c=14$

The equation of u is y = -3x + 14.

The slopes of them are equal and their y-intercepted are not equal.

Line u is parallel to line v.

Hence, there is no point of intersection between line u and line v.

To know more about Slope click the link given below.

brainly.com/question/2514839

3 0

2 years ago

Z(x) is a function as defined below:

QveST [7]

3x+3 is the correct answer

3 0

3 years ago