( 10 x 4 + 3 x 2 − 5 x + 4 ) + ( 7 x 5 − 5 x 4 + 2 x − 9 )<br><br> Add/subtract the polynomial

A children's roller coaster ride travels along 3,300 feet of track at an average rate of 15

Olenka [21]

Answer:

150 seconds

Step-by-step explanation:

Remember that

$1\ mile=5,280\ feet$

To convert miles to feet multiply by 5,280

$1\ hour=3,600\ seconds$

To convert hours to seconds, multiply by 3,600

step 1

Convert the average rate of miles per hour to feet per second

$15\frac{mi}{h}=15(\frac{5,280}{3,600})=22\frac{ft}{sec}$

step 2

Find out how many seconds does the ride take to travel this length of track

we know that

The length of the track is 3,300 ft

so

Divide the total length of the track by the speed

$\frac{3,300}{22}= 150\ sec$

4 0

2 years ago

What is the measurement of angle z PLSS HELP ASAP!!!

Ierofanga [76]

Answer:

77

Step-by-step explanation:

85-69=16

16/2=8

69+8=77

8 0

3 years ago

Read 2 more answers

Compute the total cost of the meal to the nearest cent: meal costs $24.62 plus 6% tax and 15% tip.

matrenka [14]

The total cost of the meal is $30.02

Step-by-step explanation:

Given,

Cost of meal = $24.62

Tax = 6%

Tax amount = 6% of cost of meal

$Tax\ amount=\frac{6}{100}*24.62\\Tax\ amount=\frac{147.72}{100}\\Tax\ amount=\$1.48$

Cost after sales tax = 24.62+1.48 = $26.10

Tip = 15%

Tip amount = 15% of cost after sales tax

$Tip\ amount=\frac{15}{100}*26.10\\\\Tip\ amount=\frac{391.5}{100}\\Tip\ amount=\$3.92$

Total cost of meal = Cost after sales tax + Tip amount

Total cost of meal = 26.10+3.92 = $30.02

The total cost of the meal is $30.02

Keywords: percentage, sales tax

Learn more about percentages at:

#LearnwithBrainly

7 0

3 years ago

A solid right pyramid has a square base. The length of the base edge is4 cm and the height of the pyramid is 3 cm period what is

Illusion [34]

Answer:

The volume of this pyramid is 16 cm³.

Step-by-step explanation:

The volume $V$ of a solid pyramid can be given as:

$\displaystyle V = \frac{1}{3} \cdot b \cdot h$ ,

where

$b$ is the area of the base of the pyramid, and
$h$ is the height of the pyramid.

Here's how to solve this problem with calculus without using the previous formula.

Imaging cutting the square-base pyramid in half, horizontally. Each horizontal cross-section will be a square. The lengths of these squares' sides range from 0 cm to 3 cm. This length will be also be proportional to the vertical distance from the vertice of the pyramid.

Refer to the sketch attached. Let the vertical distance from the vertice be $x$ cm.

At the vertice of this pyramid, $x = 0$ and the length of a side of the square is also $0$ .
At the base of this pyramid, $x = 3$ and the length of a side of the square is $4$ cm.

As a result, the length of a side of the square will be

$\displaystyle \frac{x}{3}\times 4 = \frac{4}{3}x$ .

The area of the square will be

$\displaystyle \left(\frac{4}{3}x\right)^{2} = \frac{16}{9}x^{2}$ .

Integrate the area of the horizontal cross-section with respect to $x$

from the top of the pyramid, where $x = 0$ ,
to the base, where $x = 3$ .

$\displaystyle \begin{aligned}\int_{0}^{3}{\frac{16}{9}x^{2}\cdot dx} &= \frac{16}{9}\int_{0}^{3}{x^{2}\cdot dx}\\ &= \frac{16}{9}\cdot \left(\frac{1}{3}\int_{0}^{3}{3x^{2}\cdot dx}\right) & \text{Set up the integrand for power rule}\\ &= \left.\frac{16}{9}\times \frac{1}{3}\cdot x^{3}\right|^{3}_{0}\\ &= \frac{16}{27}\times 3^{3} \\ &= 16\end{aligned}$ .

In other words, the volume of this pyramid is 16 cubic centimeters.

5 0

2 years ago

Bob wants to buy a TV that cost $500 plus 8% tax. He is getting a bonus of $45 and a birthday gift of $85 which he plans to use

Genrish500 [490]

Answer:

He needs to work for 40 whole hours

Step-by-step explanation:

In this question, we are tasked with calculating the amount a Tv will cost Bob in terms of the number of hours he needs to work.

Let’s look at the total cost he has to pay.

a. $500

b. 8% tax = 8/100 * 500 = $40

c. He is paying 2 bills of $35 each making a total of 2 * $35 = $70

The total amount he is to pay is thus; 500 + 40 + 70 = $610

Let’s look at his income ;

a. Bonus $45

b. Birthday gift $85

The total amount of money he has asides his salary to offset the bill is 45 + 85 = $130

The balance to pay from his salary would be $610 - $130 = $480

The number of hours he has to work since he earns $12 per hour would be 480/12 = 40 hours of work

5 0

3 years ago

Read 2 more answers

( 10 x 4 + 3 x 2 − 5 x + 4 ) + ( 7 x 5 − 5 x 4 + 2 x − 9 ) Add/subtract the polynomial