Answer:
The missing dimension of the prism is (x-4)
Step-by-step explanation:
Here, we want to find the missing dimensions of the prism
To get the volume, we are to multiply three dimensions since we are talking about volume
Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions
The product of the two other dimensions is;
(x-1)(x-9) = x^2-9x-x + 9
= x^2-10x+ 9
So we divide;
(x^3-14x^2+49x-36)/(x^2-10x+ 9)
We can use long division to get this
using long division, the answer here is x-4
The volume of a prism is the product of its dimensions.
The missing dimension of the prism is x - 4
The volume function is given as:
[tex]\mathbf{V(x) = x^3 - 14x^2 + 49x - 36}[/tex]
Let the missing dimension of the prism be y.
So, the volume is calculated using:
[tex]\mathbf{V(x) = y \times (x - 9) \times (x -1)}[/tex]
Multiply the factors
[tex]\mathbf{V(x) = y \times ( x^2-9x-x + 9)}[/tex]
[tex]\mathbf{V(x) = y \times ( x^2-10x + 9)}[/tex]
Equate both expressions of volume
[tex]\mathbf{y \times ( x^2-10x + 9) = x^3 - 14x^2 + 49x - 36}[/tex]
Make y the subject
[tex]\mathbf{y = \frac{x^3 - 14x^2 + 49x - 36}{x^2-10x + 9 }}[/tex]
Factor the numerator
[tex]\mathbf{y = \frac{(x - 4)(x^2-10x + 9 )}{x^2-10x + 9 }}[/tex]
Cancel out common factors
[tex]\mathbf{y = x - 4}[/tex]
Hence, the missing dimension of the prism is x - 4
Read more about volumes at:
https://brainly.com/question/21308855
It takes five people four hours to paint a fence.
How long would it take ten people to paint the same fence at the same rate?
Remember to include units in your answer.
Answer:
2 hours
Step-by-step explanation:
First, we notice that the time taken to paint a fence is inversely proportional to the number people used because as the number of people increase, the time taken to paint the fence decreases.
5 people can paint a fence in 4 hours.
1 person can paint a fence in = 5 x 4
= 20 hours
10 people can paint the fence in = 20/10
= 2 hours
plz mark as brainliest
Evaluate y(5- (6-z) )
if y= 4 z= -6
Answer: -27
Step-by-step explanation:
After jeeves lost 7 pounds, he weighed 124 pounds. How
much did he weigh originally?
Answer:
He now weighs 131 pounds.
Step-by-step explanation:
You can work backwards.
Past weight - 7 = 124
Past weight = 124 + 7
Past weight= 131
can you find matches, (the more the better)
Answer:
There is nothing here to help you with
Step-by-step explanation:
Step-by-step explanation:
where is your question???
CAN ANYBODY HELP ME WITH THIS JUST WITH 7 TO 12 PLEASE IT IS FOR AN GRADE!!
Answer: I think there is a mistake for the first one because I did the math and I got 200 added but then there are more answers to this one, I added all the others by 200 and got the next number but then when I got to 6,300 I can't get the 6,700. I get something else, I add 6,000 with 200, and then I get 6,200 instead of getting 6,300. Then I added that 6,200 and 200 and got 6,400. I am confused with the second one, can you please help me understand that one. The third one is also confusing, The one is 12 nuggets eaten per minute. The fifth I am not sure if that is a solvable question, The sixth one I am not sure but I think that it is 0.066667. The seventh one doesn't even make any sense to me.
Explanation: I am sorry this was so long, I was trying to make sense of these questions. Also if this is ALL wrong sorry for even trying.
There are 80 pupils in a school. If 32 are boys, what percentage are boys?
Answer:
40%
Step-by-step explanation:
32/80=.4
Answer:
40%
Step-by-step explanation:
32÷80=.4×100=40%
For a craft project, Jackie spent 45 minutes beading, 10 minutes painting, and 25
minutes sewing.
How much time did she spend working on her project?
Answer:
1 hour and 20 minutes
Step-by-step explanation:
45+25+10=80 minutes which equal 1 hour and 20 minutes
A cookie factory uses 5/6 of a barrel of oatmeal in each batch of cookies. The factory used 6 2/3 barrels of oatmeal yesterday. How many batches of cookies did the factory make?
Write your answer as a fraction or as a whole or mixed number.
Answer:
8 batches
Step-by-step explanation:
6 2/3= 6 4/6 =40/6
40/6 divided by 5/6= 8
What are the angle measurements in the triangle?
Answer:
c
Step-by-step explanation:
what is 1 times 3 divided by 3 + 25 minus 3 times 100 minus 93 + 4
Answer:
2211
Step-by-step explanation:
1*3 = 3
3/3 = 1
1+25 = 26
26-3 = 23
23*100 = 2300
2300-93 = 2207
2207+4 = 2211
i don’t get this lol help
La suma de un número natural y su cuadrado es de 72. Encuentra el número del que se trata.
Answer:
8
Step-by-step explanation:
Sea el número x El cuadrado será x ^ 2
Entonces la suma será; x ^ 2 + x = 72 x ^ 2 + x-72 = 0
x ^ 2 + 9x-8x-72 = 0
x (x + 9) -8 (x + 9) = 0
(x + 9) (x-8) x = 8 o -9
Como solo estamos considerando números naturales, la respuesta correcta es 8
A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 45 minutes ?
Answer: The car will travel 30 2/3 miles in 45 minutes.
Answer:
Please Mark as Brainliest!!
Step-by-step explanation:
The car will travel 30 2/3 miles in 45 minutes.
The car will travel 40 miles in 1 hour
What is the answer ♀️
Answer:
c. 15in
Step-by-step explanation:
Answer:
C. 15 inches
Step-by-step explanation:
The perimeter of a traingle is all of the sides added together. If three sides equal 36, and 2 equal 21, then the remaining side would be 15. Hope this helps!
A miniature portrait of Frosty the Snowman is square and has an area of 100 square
centimeters. How long is each side of the portrait?
Answer:
25 centimeters
Step-by-step explanation:
Well a square has 4 sides, and 100 divided by 4 is 25.
resolve into factors (4a+b)(4a-b)
Answer : [tex]16^a - b^2[/tex]
[tex](4a + b) (4a - b )[/tex]
[tex]= (4a + b) (4a - b )[/tex]
[tex]= (4a) (4a) + ( 4a) (-b) + (b)(4a) + (b) (-b)[/tex]
[tex]= 16^a - 4ab + 4ab - b^2[/tex]
[tex]= 16^a - b^2[/tex]
Solve the following system of equations.
- 7x-9y= 10
3x – 2y = 25
Answer: first one x= -9/7y+-10/7, second x=2/3y+25/3
1. Step-by-step explanation:
add 9y to both sides -7x-9y+9y=10+9y
divide both sides by -7. -7x/-7=9y+10/-7
2. Add 2y to both sides. 3x-2y+2y=25+2y
divide both sides by 3. 3x/3=2y=25/3
m−2 over 4 =5 over 20
Mount Mauna Kea is the tallest mountain when measured from its base. It rises from 5854m below sea level to 4349m above sea level. How tall is Mount Mauna Kea? Use numbers and words to explain your thinking. *
Answer:
10,203 meters tall
Step-by-step explanation:
Sea Level is given a value of 0 and is measured as the starting point. Anything below sea level would be a negative value. Therefore, to calculate the total height of Mount Mauna Kea we would need to add the height below sea level with the height above sea level as both positive values.
5854m + 4349m = 10,203m
Finally, we can see that Mount Mauna Kea is 10,203 meters tall.
need help btw i am in middle school
Answer:2
Step-by-step explanation:HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!! YOU CAN ALSO PUT IT AS A QUESTION< THIS IS NOT A JOKE THIS IS SOMETHING VERY SEROUIS AND DANGEROUS AND SHOULD BE TAKEN VERY SEROUISLY
I could use some help on this one! Thanks!
Answer:
A.) 458 R2
4 5 8
9 | 4 1 2 4
3 6
5 2
4 5
7 4
7 2
2
458 with a remainder of 2
A NIKE T-SHIRT WAS REDUCED FROM $60 TO $45. BY WHAT PERCENT WAS THE T-SHIRT REDUCED?
20%
30%
15%
25%
Answer:
25%
Step-by-step explanation:
the formula is:
1-(new price/old price), which =
1-(45/60)=
1-3/4=
4/4-3/4=
1/4=
.25 or 25%
Hope this helps! :)
There were 43 cars in the race. They all finished the 265 miles of the race and they each used about 1 gallon of gas to go 5 miles. About how many gallons og gas did the cars use altogether to finish the race?
Answer:
2,279 gallons of gas.
Step-by-step explanation:
Given;
total number of cars in the race, t = 43 cars
total distance traveled by each car, d = 265 miles
5 miles ---------------- 1 gallon of gas
265 miles ------------ x gallon of gas
x = 265 / 5
x = 53 gallons
Total gallons of gas used by the 43 cars in the race is given as;
Total gallons of gas = 53 gallons x 43 cars
Total gallons of gas = 2,279 gallons of gas.
Therefore, the toal gallons of gas the cars used altogether to finish the race is 2,279 gallons.
A triangle has points: A (2,1); B (3, -3); C (-1, 0). If dilated by a scale factor of 1/2, what is point A prime?
Please help me with this one!
(-8,-3) and (-2,-11) finding slope
Answer:
-4/3
Step-by-step explanation:
the slope is -4/3
how many times does 50 go into 102?
Answer: 2 times with a remainder of 2. Remainder basically means whats left over and in this case, it's 2
Step-by-step explanation: 2 times 50= 100
Andre took a trip from Boston, Massachusetts to Paris, France. In 6 2/3 hours, the plane flew 3,669 4/5 miles. How far had the plane traveled in 1 hour?
550 47/100 miles per hour.
Answer:
550.47
Step-by-step explanation:
3669 4/5 ÷ 6 2/3 = 550.47
Hope this helps:)
Choose the correct solution for this equation X/2-12 = 24
Answer:
[tex]x=72[/tex]
Step-by-step explanation:
[tex]\frac{x}{2} -12=24[/tex]
[tex]x-24=48[/tex] (multiply [tex]2[/tex] on both sides)
[tex]x=72[/tex]
Hope this helps :)
I’m kind of having troublehelp?
Answer:
13
Step-by-step explanation:
a^2 + b^2 = c^2
11^2 + 7 ^2 = c^2
121 + 49 = 170
√170 = 13.04
Answer:
c = 13.0
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
c² = 11² + 7² = 121 + 49 = 170 ( take the square root of both sides )
c = [tex]\sqrt{170}[/tex] ≈ 13.0 ( to the nearest tenth )