Answer:
a) [tex]2.036x^-\frac{1}{3}[/tex]
b) [tex]\frac{x^2}{\sqrt{x+1} }[/tex]
Step-by-step explanation:
For a cube, all the sides are equal. Let the length of each side be L
a) The volume of a cube (V) = L³
For the first cube:
V = 270x in³
270x = L³
L = ∛(270x) = [tex]6.463x^\frac{1}{3}[/tex]
For the second cube:
V = 32x² in³
32x² = L³
L = ∛(32x²) = [tex]3.175x^\frac{2}{3}[/tex]
Ratio of length = [tex]\frac{6.463x^\frac{1}{3} }{3.175x^\frac{2}{3} }=2.036x^-\frac{1}{3}[/tex]
b) The surface area of a cube (s) = 6L²
For the first cube:
s = 6x⁴ ft²
6x⁴ = L²
L = √6x⁴= 2.45x²
For the second cube:
s = 6(x + 1) ft²
6(x + 1) = L²
L = √6(x + 1)= 2.45√(x + 1)
Ratio of the length = [tex]\frac{2.45x^2}{2.45\sqrt{ (x + 1)}} =\frac{x^2}{\sqrt{x+1} }[/tex]
What is the volume of a cube of side 2cm ?
Answer:
8cm
Step-by-step explanation:
Evaluate for F when C= 20°.
F=9/5C+32
Answer:
work is shown and pictured
4/7 - -3/5 step by step pls explain
Answer:
41/35
Step-by-step explanation:
Simplify the following:
4/7 + 3/5
Put 4/7 + 3/5 over the common denominator 35. 4/7 + 3/5 = (5×4)/35 + (7×3)/35:
(5×4)/35 + (7×3)/35
5×4 = 20:
20/35 + (7×3)/35
7×3 = 21:
20/35 + 21/35
20/35 + 21/35 = (20 + 21)/35:
(20 + 21)/35
| 2 | 1
+ | 2 | 0
| 4 | 1:
Answer: 41/35
the number at the bottom of the exponent is called a power, true or false
Answer:
False.
Step-by-step explanation:
Let's say we had [tex]2^{4}[/tex] we would say 2 to the power of 4.
2 is the base and 4 is the exponent.
Answer:
false
Step-by-step explanation:
the number at the bottom of the exponent is called a base. for example, if your exponent is 2^3, as shown in the image, the 2 would be the base and the 3 would be the power :)
Naruto is choosing between two venues that will deliver food to his house. With probability 1/3 he will choose Ramen Mania (R), and with probability 2/3 he will choose Sushi (S). If he chooses R, 15 minutes after making the call, the remaining time it takes the food to arrive is exponentially distributed with average 10 minutes. If he orders S, 10 minutes after making the call, the time it takes the food to arrive is exponentially distributed with an average of 12 minutes. Given that he has already waited 25 minutes after calling, and the food has not arrived, what is the probability that he ordered from R?
Answer:
39.10%
Step-by-step explanation:
The given timeout distributions are:
Exp (1/10), Exp (1/12)
The equation to use is the following:
F (x) = 1 - e ^ (- a / b); x> 0
So the probability is:
P (food has not arrived after waiting 25 minutes | R) = e ^ (- 10/10) = 0.3679
P (food has not arrived after waiting 25 minutes | S) = e ^ (- 12/15) = 0.2865
So:
P (food has not arrived after waiting 25 minutes) = (food has not arrived after waiting 25 minutes | R) * P (R) + (food has not arrived after waiting 25 minutes | S) * P (S)
Replacing:
P (food has not arrived after waiting 25 minutes) = 0.3679 * 1/3 + 0.2865 * 2/3 = 0.3136
However:
P (R | food has not arrived after waiting 25 minutes) = (food has not arrived after waiting 25 minutes | R) * P (R) / P (food has not arrived after waiting 25 minutes)
P (R | food has not arrived after waiting 25 minutes) = 0.3679 * 1/3 / 0.3136 = 0.3910
It means that the probability is 39.10%
Answer:
39.10%
Step-by-step explanation:
Fair is 5$ and the cost per ride is 0.50 how many rides can you go on if you have 20$
Answer: 30 rides I think
Step-by-step explanation:
Answer:
30 rides
Step-by-step explanation:
y = mx + b
0 = -.5x + 20 - 5
0 = -.5x + 15
-15 = -.5x
30 = x
whats 9+10x+8= i need to know
Answer
x = − 17 /10 + I/ 10
( Fraction symbol = /)
help!! please explain as well!! Thx!
Answer:
0
Check my steps.
Step-by-step explanation:
So there are 125 total in the driver safety course.
There are 28 accidents.
28 / 125
0.224
So... when you round it down, you get 0.
What is the correct equation for the line in slope-intercept form?
Answer:
y=-5x+35
Step-by-step explanation:
The equation for a line in slope intercept form is y=mx+b, where m is the slope of the line and b is the y intercept, or where the line meets the y axis.
First, we should calculate the slope of the line. The slope of any line is rise over run. We can select any two points- I will select (6,5) and (4, 15).
We see that the rise is 10 units, because 15-5=10, and the run is -2 units, because 4-6=-2. We have rise over run which is 10/-2, or -5.
So, we find that the m value is equal to -5.
The y intercept is easier to find, it is just where the line meets the y axis. The lines meets the y axis at the point (0,35) so the y intercept is 35.
Thus we have the equation of the line is y=-5x+35.
Hope this helps!
The number of apples in 15 pound boxes sold at a farm is normally distributed as shown below.
Number of apples in a box
What approximate percentage of boxes have less than 20 apples?
a. 84%
b. 15%
c. 16%
d. 20%
Answer: 16%
Step-by-step explanation:
Answer:
Sample answer from Edm and Plato
Step-by-step explanation:
Keisha estimates 259+372 by rounding each number to the nearest 10. What is Keisha's estimate of the sum?
Answer:
630
Step-by-step explanation:
259 rounded to the nearest 10 is 260
372 rounded to the nearest 10 is 370
260+370=630
Hope this helps!
I need help with this question ASAP please!!!
At Lewisville University, they are looking into how often students
attend football games. Here are the results:
● 45% of students regularly attend football games
● Of those that attend football games regularly, 35% are first-year
students and 64% are upper-class students.
● Of those that do not attend football games, 25% are first-year
students and 34% are upper-class students
What is the approximate probability that a randomly selected person
will be attending the football game given they are an upper-class
student?
Answer:
60.63%
Step-by-step explanation:
Prob. of students who regularly attend = 45%
Prob. of students who don't attend = 55%
Upper Class Students who attend = 64 % of 45 %
= 0.64 × 0.45 × 100 = 28.8% = 0.288
Upper Class Students who don't attend = 34 % of 55% = 0.34 × 0.55 × 100 = 18.7% = 0.187
Total for Upper Class Students = 28.8% + 18.7% = 47.5% = 0.475
Probability that an Upper Class Student randomly selected will be attending = ( 0.288 / 0.475 ) × 100 = 0.6063 × 100 = 60.63%
An item is regularly priced at $80 . It is on sale for 30% off the regular price. How much (in dollars) is discounted from the regular price
Answer:
24
Step-by-step explanation:
You take 80 and multiply it by .3 which gives you 24
13 Points!
Use a net to find the surface area of the right triangular prism shown below
(Please show/tell an explanation on how you got your answer) :
104 square feet
412 square feet
468 square feet
504 square feet
Answer:
468 square feet; Option C
Step-by-step explanation:
We can see that the base of this triangular prism has dimensions 15 feet by 10 feet, so for starters let us compute the area of this base:
Area ⇒ 15 * 10 = 150 ft^2
Now the rectangular surface next to this base, has dimensions 9 feet by 10 feet, provided that 9 feet is a uniform height of the triangular prism:
Area ⇒ 9 * 10 = 90 ft^2
This third rectangle is provided with one dimensions, of 10 feet. If we were to imagine what part of the 3-d shape is is, it would in fact be the slanted top. To find the second dimension, you would imagine it to be 12 feet. Using that, the area of this rectangle is thus ⇒ 10 * 12 = 120 ft^2
Now the two triangles at the corners each have an area of ⇒ 1/2 * base * height = 1/2 * 12 * 9 = 6 * 9 = 54 ft^2, so they have a total area of ⇒ 108 ft^2
This means the surface area of the right, triangular prism is:
150 + 90 + 120 + 108 = Answer: 468 square feet
What are three ways you can solve a proportion?
Answer:
Vertical.
Horizontal.
Diagonal (often called "cross-products")
Step-by-step explanation:
Complete the equation describing how x and y are related. I think the answer is 2?
Answer:
yes, the answer to this question is y=2x
Determine the arc length of AC, where the arc measures 70' and the diameter of the circle is 24 units. Round your answer to the nearest hundredth.
Answer:
AC = 14.65
Step-by-step explanation:
arc length = 2 * pi * R * (theta /360)
= 2 * pi * (24/2) * (70/360)
= 14.65 (ANS)
PLEASE HELP ANSWER!
is y+7=2x+3y linear or nonlinear?
Answer:
linear
Step-by-step explanation:
its is linear I know this for a fact I had this same question
The pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the gas. If the pressure is 6 pounds per square inch when the temperature is find the pressure exerted when the temperature of the gas is
(SHOW WORK)
Answer:
5.18 pounds per square inch
Complete question:
If the pressure is 6 pounds per square inch when the temperature is 440° F,find the pressure exerted when the temperature of the gas is 380°F.
Step-by-step explanation:
According to the Gay Lussac's Law:
[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2}[/tex]
where, P and T are the pressure and temperature of an enclosed ideal gas.
Given:
Initial pressure [tex]P_1[/tex] = 6 pounds per square inch
Initial Temperature [tex]T_1[/tex]=440° F
Final Temperature [tex]T_2[/tex]=380° F
Final Pressure [tex]P_2[/tex]=?
Substituting all values in the formula
[tex]\frac{6}{440} =\frac{P_2}{380}[/tex]
[tex]P_2[/tex] = [tex]\frac{6\times380}{440}[/tex]
[tex]P_2[/tex]= 5.18pounds per square inch
When the large prism was reduced, the surface area changed by a factor of:
Answer: 16/25
Step-by-step explanation:
Answer:
The answer is 16/25
Step-by-step explanation:
Since the original scale factor was 4/5 then you would need to square four and five in order to get the new scale factor.
When you square 4 you get 16 and when you square 5 you get 25. Therefore the answer should be 16/25.
*I also got it right on the edge quiz
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Step 1) Divide up the figure
In this figure, there is a triangle, a small rectangle, and two larger rectangles. The triangle is 6 in x 9 in, the small rectangle is 3 in x 18 in, one of the large rectangles (center) is 8 in x 14 in, and the other large rectangle (bottom) is 5 in x 9 in.
Step 2) Find the area of each shape in the figure
Triangle: A = 1/2 x 6 x 9 = 27
Small rectangle: A = 3 x 18 = 54
Large rectangle (center): A = 8 x 14 = 112
Large rectangle (bottom): A = 5 x 9 = 45
Step 3) Add the area of each shape together
A = 27 + 54 + 112 + 45 = 238 square inches
Hope this helps! :)
Answer:
247 square inches
Step-by-step explanation:
Divided the diagram into a triangle and three rectangles.
The triangle is 6 in * 6 in = 36 square inches
1st rectangle is 4 in * 3 in = 12 square inches
2nd rectangle is 11 in * 14 in = 154 square inches
3rd rectangle is 9 in * 5 in = 45 square inches
Therefore, 36+12+154+45 = 247 square inches
Omar is participating in a -day cross-country biking challenge. He biked for 67,60 ,69 ,68 , and 70 miles on the first five days. How many miles does he need to bike on the last day so that his average (mean) is 67 miles per day?
Answer:
68 miles
Step-by-step explanation:
Distance biked on the first five days =67,60 ,69 ,68 , and 70 miles
Let the distance biked on the sixth day=x miles
We want his average for the 6 days =67 miles per day
Therefore:
[tex]Average=\dfrac{67+60+69+68+70+x}{6} \\67=\dfrac{334+x}{6}\\$Cross multiply\\67*6=334+x\\402=334+x\\x=402-334\\x=68 miles[/tex]
He needs to bike 68 miles on the sixth day to get an average of 67 miles per day/
What’s the equation of a line??
Find the volume of the right pyramid shown below.
Answer:
75 cm
Step-by-step explanation:
I used the formula and my calculator. Hope this helps! if you are still confused please comment!
Answer:
75cm³Step-by-step explanation:
[tex]V= \frac{lwh}{3} = \frac{(5)(5)(9)} {3} =75[/tex]What is the value of b?
36
63
40
75
Each student in a class recorded how many books they read during the summer. Here is a box plot that summarizes their data. What is the greatest number of books by a student in this group
Answer:
15
Step-by-step explanation:
.
The greatest number of books by a student in this group is 15.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
From the box plot,
We can see that,
Median = 6
First quartile = 2
Third quartile = 10
Smallest number = 2
Highest number = 15
Thus,
The greatest number of books by a student in this group is 15.
Learn more about the interquartile range here:
https://brainly.com/question/29204101
#SPJ3
there are 9800 films on netflix. 11% of the films are romance. how many films are romance?
Answer:
[tex]1078[/tex]
Step-by-step explanation:
[tex]9800 \times \frac{11}{100} = 1078[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Enter the slope intercept equation of the line Shown below.
Answer:
The answer is y = 3x + 3.
Step-by-step explanation:
Hope it helped!
One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54inches. What are the dimensions of the rectangle? Which of the following could be used to solve the problem?
Answer:
15 and 12
Step-by-step explanation:
Set the two sides as x and y
y=x-3
P = 2w+2l
2x+2(x-3) = 54
4x-6=54
4x=60
x=15
y=12
what’s the answer to 10a - 13a being factored
Answer:
a(10 - 13)
Step-by-step explanation:
The only common factor between these numbers is a, as 10 and 13 do not share factors (13 is prime). We can only factor out a.
Answer:
correct
Step-by-step explanation: