The length and width in terms of the height h is 5h+3 feet and 6h-5 feet respectively, the volume will be [tex]30h^3 - 7h^2 -15h[/tex] units and the height must be in the interval of [tex][0,\infty)[/tex].
According to the question,
The height of the rectangular prism is h.
The length of the rectangular prism is 5h+3 feet
The width of the rectangular prism is 6h-5 feet
The volume of the rectangular prism can be calculated as:
[tex]Length \times width \times height = Volume[/tex]
Substitute the value of height, length and width in the formula:
[tex]V = (5h+3) \times (6h-5) \times h[/tex]
V = [tex](30 h^2 -7h-15)h[/tex]
[tex]V = 30h^3 - 7h^2 -15h[/tex]
The height is always positive. So, the interval in which the In what range must the height fall is [tex][0,\infty)[/tex].
The length and width in terms of the height h is 5h+3 feet and 6h-5 feet respectively and the volume will be [tex]30h^3 - 7h^2 -15h[/tex] units
The height must be in the interval of [tex][0,\infty)[/tex].
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Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each
touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion. The team scored one
fewer 2-point conversions than extra kicks. The team scored 10 times during the game. How many touchdowns were
made during the game? Write and solve a system of equations to get your answer.
Answer:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
There are five touchdowns in the game
There are Five touchdowns were made during the game.
Here,
Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown.
After each touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion.
The team scored one fewer 2-point conversions than extra kicks. The team scored 10 times during the game.
We want to know the number of touchdowns made during the game.
What is system of equations?
A system of equations is a collection of two or more equations with a same set of unknowns.
Now,
Let the number of touch downs be x
So, the total points earned through touchdowns is;
6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So, the total number of score times will be ;
x + y + y - 1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
Hence;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So, now solve this;
From ( ii ), y = 13 - 2x
Put this into ( i )
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
Hence, There are Five touchdowns were made during the game.
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Figure A is a scale image of Figure B.
2
Figure A
18
Figure B
27
45
What is the value of 2?
9514 1404 393
Answer:
30
Step-by-step explanation:
The ratios of corresponding sides in similar figures are proportional.
x/18 = 45/27
x = 18(45/27)
x = 30
Find two numbers if their ratio is 9:11 and their difference is 6.
The numbers can be 27, 33 or __, __
Plz help I'm so dumb -_-
HELPPPP MEE PLEASEEE!!
Answer:
6 , 1
5 , 2
4 , 3
Step-by-step explanation:
Just swap the numbers.
Answer:
x (input) y (output)
6 1
5 2
4 3
3 4
Step-by-step explanation:
Because it is the inverse of the red table, the blue table would be the opposite: (Answers are shown above)
I hope this helps :)
–3х + бу = 12
What is the x and y intercept
Answer:
x = -4. y= 2 is the answer
Step-by-step explanation:
-3x + 6(0) = 12
-3x=12
divide 12 by -3
-4
-3(0) + 6y = 12
6y= 12
12 divided by 6
2
Answer: y=1/2x+2
Step-by-step explanation:
The data set SMOKE.dta contains information on smoking behavior and other variables for a random sample of single adults from the United States. The variable cigs is the (average) number of cigarettes smoked per day. Do you think cigs has a normal distribution in the U.S. adult population? Explain.
Answer and explanation:
First more than half of the population of the United States do not smoke so the data for smokers in the United States cannot be normally distributed.
Cigs variable does not have a normal distribution in the United States because it is skewed while a Gaussian/normally distributed data is symmetric about it's mean meaning that more values close to the mean occur more frequently. A normally distributed data has more data in the center and is bell shaped while a non normal distribution like the smokers data for US has data skewed to the left or right
Find the area of the rectangular field in hectares whose length and breadth are 400 m and 125 m.
Answer:
50,000 m²
Step-by-step explanation:
Clark made four of his truck payments late and was fined four late fees the total change to his saving from late fees was -52 how much was one late fee
The unit rate/price is the rate/price per 1 item is this true or false
What is the answer?!!
Answer:
12.
Step-by-step explanation:
Brainliest if you get right
Answer:
14y + -3
Step-by-step explanation:
9y + 5y = 14y
-3 = -3
14y + -3
10
Which one of the following equations is equivalent to 3.3 – 12 = -9?
A x- 5 = -6
B 7x- 3=4
D2x = 4
D x+3 = x- 1
Answer:
666666600000
Step-by-step explanation:
help asap for brainliest!
Write an equation. Is the given value a solution?
. A truck driver drove 468 miles on Tuesday. That was 132 miles farther than she drove on Monday. Let d represent the distance she drove on Monday. Did she drive 600 miles on Monday?
Answer:No she did not she drove 336 miles
Step-by-step explanation:
Answer:368
Step-by-step explanation:
HELPPP ASAP PLSSS!!!
Answer:
a.) yes
b.) no
c.) yes
d.) yes
Janice is babysitting this summer. She already has $35 in her account before
she begins babysitting. If she makes $25 each week, how much does she have after 3 weeks?
Answer:
110
Step-by-step explanation:
well if she has 35 in her account already and she babysits for 3 weeks and makes $25 each week that would be 25 times 3 or 25+25+25=75 then you would add 75 to 35 witch is 110
Which histogram represents the data?
4, 6, 8, 12, 14, 16, 18, 24, 28, 30, 34, 36, 38, 40, 46, 50, 54
Answer:
The first graph is correct
Step-by-step explanation:
There are 3 numbers in the 0-9 range
There are 4 numbers in the 10-19 range
There are 2 numbers in the 20-29 range
There are 4 numbers in the 30-39 range
There are 2 numbers in the 40-49 range
There are 2 numbers in the 50-59 range
The only graph that has the correct information is the first graph
I hope that this helps :)
need these asap, will give brainiest and points
IF YOU GET THIS RIGHT (First )YOU GET BRAINLIEST AND FIVE STAR RATING AND THANKS
A cowboy rides to the town on Friday. Three days later, he leaves on Friday. How is this possible?
Answer:
The name of the horse is Friday.
Step-by-step explanation:
Cowboy and his Horse !
Abdul receives $10 per week for his allowance. His parents have asked him to put $4 in his savings account and the rest of his allowance is spending money.
Answer:
2.5
Step-by-step explanation:
just trust me it 2.5
what is the answer for-4(2x+y)
Answer:
-8x-4y
Step-by-step explanation:
distrubutive property
Please help! Will give 10 points and brainliest to first...only need 2,4,6,8
Answer:
Step-by-step explanation:
2: 1:4 scale factor
4: 4/5 = x/15. 5x=60. x is 12
6: it's a 2:7 ratio. so x would be 8 and y would be 35
8... it's a 4:7 ratio, as both 52 and 91 are divisible by 13 so there's the scale factor
4/7=x+3/2x-1. 7x+21=8x-4
Like terms on both sides
x=25
The 8th graders are having a bake sale to raise money for their field trip to a water park.
If they sell c cupcakes and b brownies at the prices shown below, then the amount of
money raised is given by the expression 0.4C+0.45b. How much money will be raised if
the 8th graders sell 68 cupcakes and 76 brownies?
Bake Sale Prices
Brownies 450
Eupcakes
40¢
Answer:
27 dollrs for c
76dollra for b
Step-by-step explanation: because you just multiply the 68 and 76 by how much they were for
Scientists from different fields are trying to understand how the global climate is reacting to the changes caused in nature, and by human activities. They have come up with conflicting interpretations. Which of these is the most likely outcome of differences in interpretations made by scientists on the issue of global climate? All old ideas would be discarded. Scientific evidence would be weakened. Scientists would look for new evidence. The limitations of science would be evident.
Answer:
Scientists would look for new evidence.
Step-by-step explanation:
Anytime scientists have different interpretations, they carry out more experments to look for new evidence. But this is after they must have tested their own hypothesis. If non of these are possible, they set out to get fresh evidences. Having different opinions would make them come up with new ideas with hope that their theories are valid. And it would also make them carry out more experiments for confirmation or for denial.
Could someone help me with these please? I’m stuck.
Answer:
1. 23
2. 5.83 (5.8 rounded)
3. 1.18 (or 1.2 rounded)
4. unsure how to solve, sorry
Step-by-step explanation:
your formula: a^2+b^2=c^2
1. 20^2+13^2=c^2
400+169=569
(take the square root of 569)
c=23
2. 15^2+b^2=17^2
225+b^2=289
(subtract 225 from both sides)
b^2= 34
(take the square root of 34)
b=5.83 (or 5.8 rounded)
3. 0.2^2+b^2=1.2^2
0.04+b^2=1.44
(subtract 0.04 from bot sides)
b^2=1.4
(take the square root of 1.4)
b=1.18 (or 1.2 rounded)
4. unsure how to solve, sorry
hat is the speed of a wave if the wavelength is 18 m and the frequency is 35 Hz? (Quick Hurry, need answer)
What is the slope of the line on the graph below?
Answer:I can’t answer there is no graph.
Step-by-step explanation:
If PQ = 8 units, where should the midpoint lie to divide
PQ into two congruent segments?
Answer:
midpoint of PQ will be at 4 units
there are 15 cats. ten are striped and 7 are striped with green eyes. the rest of the cats have green but are not striped how many cats have green eyes but are not striped
Answer:
5
Step-by-step explanation:
10 are striped so that only leaves 5 left that are not striped
Math question! Need help! :D
Answer:
3
Step-by-step explanation:
-21/-7 = 3
negative times negative or negative divided by negative is always positive
Amy sold 10 t-shirts and 2 sweatshirts for $56.
Adam sold 5 t-shirts and 3 sweatshirts for $48.
Write a system of equations to represent this
situation. Let x=cost of a t-shirt and y=cost of a
sweatshirt.
Determine the price of one t-shirt and the price
of one sweatshirt.
Answer:
$3.6 = cost of a t-shirt
$10 = cost of a sweatshirt
Step-by-step explanation:
Given:
10 t-shirts and 2 sweatshirts = $56.
5 t-shirts and 3 sweatshirts = $48.
x = cost of a t-shirt
y = cost of a sweatshirt
Find:
Price
Computation:
10x + 2y = 56.......eq1
5x + 3y = 48........eq2
From 2 x eq2
10x + 6y = 96.........eq3
From eq3 - eq1
4y = 40
y = 10
from eq1
10x + 2(10) = 56
10x + 20 = 56
10x = 36
x = 3.6
$3.6 = cost of a t-shirt
$10 = cost of a sweatshirt