Answer:
[tex]V =\frac{12}{5}\ cm^3[/tex]
Step-by-step explanation:
The Volume of Rectangular Prism
Given a rectangular prism of dimensions W, L, and H, its volume is the product of the three dimensions:
V = WLH
The figure shows the dimensions:
L=3 cm
[tex]W=\frac{4}{3}\ cm[/tex]
[tex]H=\frac{3}{5}\ cm[/tex]
Thus, the volume is:
[tex]V =3*\frac{4}{3}*\frac{3}{5}\ cm^3[/tex]
[tex]V =\frac{36}{15}\ cm^3[/tex]
Simplifying:
[tex]\boxed{V =\frac{12}{5}\ cm^3}[/tex]
Pedro’s car odometer measures the distance driven in kilometers. Pedro determines that, for every 810 kilometer he drives, he drives the equivalent distance of 510 mile. What is that ratio as a unit rate of kilometers to miles?
Answer:
The ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.
Step-by-step explanation:
Given;
distance measured by odometer in kilometer, = 810 km
distance measured by odometer in miles, = 510 miles
The ratio of a unit rate of kilometers to miles of the distance measured by the odometer is calculated as;
[tex]d = \frac{810 \ km}{510 \ miles} \\\\d = \frac{810 \ km \ \times \ \frac{1}{810 \ km} }{510 \ miles \ \times \frac{1}{810 \ km} } \\\\d = \frac{1 \ km}{\frac{510}{810} \ miles } \\\\d = \frac{1 \ km}{\frac{17}{27} \ miles} \\\\d = 1 \ km : \frac{17}{27} \ miles\\\\d = 1 \ km : 0.63 \ miles[/tex]
Therefore, the ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.
Dr. Fisher is researching the growth of a culture of bacteria. He records the count of bacteria, y, after x hours. He wants to determine whether there is a relationship between the amount of time passed and the count of bacteria. He finds that the linear model that best fits the data is
Answer:
its B hope this helps:))
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
im smart
14. The screen size of a television is measured along
the diagonal of the screen from one corner to
another. If a television has a length of 28 inches
and a diagonal that measures 32 inches, what is
the height of the television set to the nearest
tenth?
Answer:
15.5 inches
Step-by-step explanation:
height² = diagonal² - length²
height = √(32² - 28²) ≅ 15.5 inches
At first, you have 15 bottles of coke, and you drink 2 bottles each day. After a certain number of days, there are 3 bottles left. Write and solve an equation for, d, when there are 3 bottles left?
Answer:
After 6 days, 3 bottles will be left.
Step-by-step explanation:
Given that:
Number of bottles = 15
Number of bottles drank each day = 2
Let,
d be the number of days
y be the number of bottles left
y = 15 - 2d
Now,
We have to find the number of days when 3 bottles will be left.
Putting y=3
3 = 15 - 2d
2d = 15 - 3
2d = 12
Dividing both sides by 2
[tex]\frac{2d}{2}=\frac{12}{2}\\d=6[/tex]
Hence,
After 6 days, 3 bottles will be left.
What is the inverse of the function f(x) = 4x + 8?
Answer:
h(x) = (1/4)x - 2 which is choice A
Step-by-step explanation:
Replace f(x) with y. Then swap x and y. Lastly, solve for y to get the inverse.
f(x) = 4x+8
y = 4x+8
x = 4y+8
x-8 = 4y
4y = x-8
y = (x-8)/4
y = x/4 - 8/4
y = (1/4)x - 2
h(x) = (1/4)x - 2
A mom mixes 9 oz of juice and adds 3 oz of water. What percent of the drink is juice?
Answer:
75% is juice
Step-by-step explanation:
3/4 equals 75%
Answer:
75% of the drink is juice i did the calculations in my head.
Step-by-step explanation:
i Hope this helps you :)
A warehouse contains ten printing machines, four of which are defective. A company selects five of the machines at random, thinking all are in working condition. The company repairs the defective ones at a cost of $20 each. In what interval would you expect the repair costs on these five machines in dollars to lie 75% of the time
Answer:
Step-by-step explanation:
There from ypergemetric distribution
mean number of defective in sample =n×m/N =5×4/10=2
and std deviation =sqrt(mn/N*(1-m/N)*(N-n)/(N-1))
=sqrt(5*4/10*(1-4/10)*(10-5)/(10-1))=0.816
from Tchebysheff's theorem ; 75% values fall within 2 standard deviation from mean
therefore interval in terms of defective
=2-2*0.816 ; 2+2*0.816 =0.367 ; 3.633
interval in terms of repair costs =20*0.367 ; 20*3.633 =$7.34 ; $ 72.66
Solve the systems of equations 9x+5y=41 and x+y=9 by combining the equations
Step-by-step explanation:
multiplying the 2nd eqn by 9 we get,
9x+9y=81
then,subtracting 1st and 2nd eqn
9x+5y=41
9x+9y=81
- - -
__________
0. -4y=-40
we get y = 10
then we get x=9-y
x=9-10
x= -1
so x is -1 and y is 10
What specific measure of a geometric figure is shown in the image?
Answer:C, A 70 angle
Step-by-step explanation:
Answer:
The specific measure of a geometric figure is shown in the image is a 70° angle.
Thus, option 'A' is correct.
Step-by-step explanation:
We know that protectors normally have:
two sets of numbers going in opposite directions.From the figure, it is clear that:
The center point of the protector lies on the vertex of the angle.The zero mark is the bottom edge of the protractor.It is clear that the other ray tends to cross the protractor at the measure 70 degrees.
Therefore, the specific measure of a geometric figure is shown in the image is a 70° angle.
Thus, option 'A' is correct.
A farmer raised a watermelon that weighed 20 Lb. From his experience with raising watermelons, he estimated that 95% of the watermelon's weight in water. Question: In pound's how much water of the watermelon is water.
Answer:
19
Step-by-step explanation:
5%= 1
95%=19
The water is 95% of the total weight of watermelon. Multiply 95% by the total weight to get the weight of the water.
water = 95% × 20
water = 0.95 × 20
water = 19
The weight of the water is 19 lbs
Did I do this right math functions need fast
Answer:
The rate of change of Function A is less than the rate of change of function B.
Other than that, everything else you put is correct.
Step-by-step explanation:
None.
Answer:
Option A, B and D are correct options.
Step-by-step explanation:
First we will find rate of change of function A and function B
Rate of Change of Function A
The formula used to calculate rate of change is: [tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have x_1=1, y_1=5, x_2=2, y_2=7
Putting values in formula and finding rate of change
[tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{7-5}{2-1}\\Rate\:of\:Change=\frac{2}{1}\\Rate\:of\:Change=2[/tex]
So, Rate of change of Function A = 2
Now, finding y-intercept.
y-intercept is found by putting x =0
Looking at the function, we can write the equation: y=2x+3
Now, put x =0
y=2(0)+3
y=3
So, when x =0, y=3
So, y-intercept is 3 for function A.
Rate of Change of Function A
The formula used to calculate rate of change is: [tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have x_1=1, y_1=1, x_2=2, y_2=4
Putting values in formula and finding rate of change
[tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{4-1}{2-1}\\Rate\:of\:Change=\frac{3}{1}\\Rate\:of\:Change=3[/tex]
So, Rate of change of Function B = 3
Now, finding y-intercept.
y-intercept is found by putting x =0
Looking at the graph, when x=0, y is -2
So, y-intercept is -2 for function B.
We get following answers:
Rate of change of Function A = 2
Rate of change of Function B = 3
y-intercept is 3 for function A.
y-intercept is -2 for function B.
So, The correct options are:
The rate of change of function A and B are positive
The rate of change of function A is less than the rate of change of function B. (Because 2 is less than 3)
The y-intercept of function A is positive, while y-intercept of function B is negative.
So, Option A, B and D are correct options.
What is the value of the expression below when x=4?
2x2+x-5
Answer:
2x2+x-5
using x=4
(2×2)+4-5
4+(-1)
4-1=3
Answer:
3
Step-by-step explanation:
(2×2)+x-5
=4+x-5
=4+(4)-5
=8-5
=3
what is 0.6 million add 345000
Answer:
945000
Step-by-step explanation:
do you mean adding..? if so thats your answer
The answer is 0.945 million or 945000
What is AdditionAddition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division.
The addition of two whole numbers results in the total amount or sum of those values combined.
1 million = 10 lakhs = 1000000
0.6 million = 600000
On addition of 0.6 million and 345000 we get
945000
Therefore the answer is 0.945 million or 945000
To know more about Addition
https://brainly.com/question/14092461
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Laura graphs these equations and finds that the lines intersect at a single
point, (1.5, -1.5)
Answer:
they are the only values that makes both equations true
Step-by-step explanation:
just took the test
A triangle can be formed with side lengths 1 in, 3 in, and 7 in. *
True or
False
Answer:
False.... i think
Step-by-step explanation:
A quality-control manager randomly selects 80 bottles of soda that were filled on March 11 to assess the calibration of the filling machine. What is the sample in the study?
Answer:
The sample is the 80 bottles that were randolmy selected on March 11.
Step-by-step explanation:
can anyone help me with this, I gave a picture so you can figure it out
Answer:
X=2
Step-by-step explanation:
If the smaller triangle's base is 1.5ft and the bigger triangle's base is 6ft then in order to find x you have to find how much bigger the big triangle is compared to the small triangle in order to do that you have to divide 6 by 1.5 (6÷1.5) which is 4 now you know that the bigger triangle is 4 times as big as the smaller triangle now to find X divide the 8 by 4 (since the 8 is on the same side as the X only the 8 is on the bigger triangle) which is 2
Strawberries cost $3.00 per pound. How many punds of strawberries can you buy for $1.00
Answer:
1/3 or .75 pounds of strawberries
Answer:
No pounds
Step-by-step explanation:
you need three (3.00) dollars to get a pound and you only have one (1.00)
6849 to the nearest 100
I need help please!:D
Which best describes the solutions to the inequality x greater than 10?
Answer: x>10
Step-by-step explanation:
I don't know what this is asking but the inequality x greater than 10 is simplified as x>10
50 POINTS
Marcus says that a store overcharged him on the price of the video game he bought. He thought that the price was marked of the original price, but it was really off the original price.
He misread the advertisement.
If the original price of the game was $48, what is the difference between the price that Marcus thought he should pay and the price that the store charged him?
Answer:
$14
Step-by-step explanation:
Since the original price of the game was $48 and the store wanted to sell it with 1/4 off the total price, we can say that (48) - (48 *1/4) = 36. Since marcus thought that he was buying the game for 1/4 of the original price, that would be 48 * 1/4 = 12.
The difference between 36 and 12 is 14, which would be the answer.
I need help ASAP please! Giving brainliest!!
Answer: i think b
Step-by-step explanation:
so sorry if im wrong
Mariam went to the store to buy some apples. The price per pound of the apples is $6 per pound and she has a coupon for $2.25 off the final amount. With the coupon, how much would Mariam have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.
Answer:
tell mariam to ask the shop keeper
Step-by-step explanation:
can someone help pls
Which one of the
following sets of side
lengths could representa
right triangle?
(А)12 inches, 9 inches, 15 inches
(В) 9 inches, 8 inches, 15 inches
(C) 8 inches, 10 inches, 12 inches
6 inches, 8 inches, 12 inches
(D) 6 inches, 8 inches, 12 inches
Answer:
A 12 inches 9 inches 15 inches
How to solve for x?
Answer:
159
Step-by-step explanation:
35x-1 =-35 plus 34x20
Please help me! Will give brainleist! ✨
Answer:
3/10
Step-by-step explanation:
You could multiply straight across and get 21/70 and when the numerator and denominator are divided by 7 you'd get 3/10.
help meeeeeee plz brainlest in my hand
Answer:
1. 80
2. 28
Step-by-step explanation:
if you have questions of how to get the answer tell mw :>
I will mark as brainlyist IF u Are right. No one answers anyway so...
Answer:
PN
Step-by-step explanation:
The segment PN is the exact same as AB, just smaller.
Answer:
The segment parallel to the one given is PN
Step-by-step explanation:
PN could be the only segment parallel
Select the correct answer. Which statement is true about this quadratic equation? y=2x^2 + 9x-12 a There is one complex solution b there are two complex solutions c There is one real solution d There are two real solutions
Answer:
There are 2 complex solutions
Step-by-step explanation:
Both imaginary Solutions