Answer:
[tex]h = x^2+3x-5[/tex]
Step-by-step explanation:
Given
[tex]V = x^4 + 11x^3 + 34x^2 + 5x - 75[/tex]
[tex]L = x + 5[/tex]
[tex]W = x + 3[/tex]
Required
Determine the height (h) of the prism
Volume is calculated as:
[tex]V =lwh[/tex]
Substitute values for V, l and w
[tex]x^4 + 11x^3 + 34x^2 + 5x - 75 = (x + 5) * (x + 3) * h[/tex]
Factorize the expression on the left-hand side
[tex](x+3)(x^3+8x^2+10x-25)= (x + 5) * (x + 3) * h[/tex]
Further, factorize:
[tex](x+3)(x+5)(x^2+3x-5)= (x + 5) * (x + 3) * h[/tex]
Divide both sides by (x+3)(x+5)
[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= \frac{(x + 5) * (x + 3) * h}{(x+3)(x+5)}[/tex]
[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= h[/tex]
[tex](x^2+3x-5)= h[/tex]
[tex]x^2+3x-5= h[/tex]
[tex]h = x^2+3x-5[/tex]
The height of the prism is [tex]x^2+3x-5[/tex]
Sombody pls help me:(
1: 8:1
2: 2/4:3/4
3: 1:2
4: 32/4:3/4
whoever answers correctly gets brainliest.
Answer:
The answer is 13.72 because 1.4^3=2.744 and 2.744*5=13.72
I’ll give u brainiest pls help me im so lost
Answer:
(f o g)(4)=27
Step-by-step explanation:
(f o g)(4)=2x+5
f(g(4))=2x+5
f(4²-2(4)+3)=2x+5
f(16-8+3)=2x+5
f(8+3)=2x+5
f(11)=2x+5
f(11)=2(11)+5
f(11)=22+5
f(11)=27
Therefore, (f o g)(4)=27
Fiona is typing an essay on her computer. She types 5/8 of a page in 1/2 hour. At this rate, how many pages can Fiona type in 1 hour? Enter the answer as an improper fraction (fraction greater than one).
Answer:
5/4 page
Step-by-step explanation:
5/8 * 2 = 10/8 = 5/4
if f(x) = x2+x, find f(- 3)
=
0-12
03
6
Answer:
-24
Step-by-step explanation:
pls help help meeeeeeeeeeee
Step-by-step explanation:
[tex] 200 = \pi{r}^{2} \\ {r}^{2} = \frac{200}{\pi} = 63.66 \\ r = 7.97 = 8[/tex]
find the slope.make sure to reduce
Point VV is located at (-5,3)(−5,3) on the coordinate plane. Point VV is reflected over the yy-axis to create point V'V ′ . Point V'V ′ is then reflected over the xx-axis to create point V''V ′′ . What ordered pair describes the location of V''?V ′′ ?
Given:
Point V is located at (-5,3) on the coordinate plane.
It is reflected over the y-axis to create point V'.
Point V' is then reflected over the x-axis to create point V''.
To find:
The location of point V''.
Solution:
We have,
Point V= (-5,3)
If point V reflected over the y-axis, then
[tex](x,y)\to (-x,y)[/tex]
[tex]V(-5,3)\to V'(5,3)[/tex]
If point V' reflected over the x-axis, then
[tex](x,y)\to (x,-y)[/tex]
[tex]V'(5,3)\to V''(5,-3)[/tex]
Therefore, the ordered pair (5,-3) describes the location of V''.
Answer:
5,3
Step-by-step explanation:
Point VV is located at (-4,6)(−4,6) on the coordinate plane. Point VV is reflected over the xx-axis to create point V'V
′
. What ordered pair describes the location of V'?V
′
?
Given the side length, determine whether the triangle is acute, right, obtuse or not a triangle.
10, 23, 41
A. Acute
B. Right
C. Obtuse
D. Not a triangle
Since 41 is greater than the sum of the other two sides this is not a triangle.
if you can help i would be happy
Answer:
x =8
Step-by-step explanation
8 - 5 + 3 = 9
What is the value of s?
units
Answer:
s = 17 units
Step-by-step explanation:
In triangle ABD,
(AB)² + (BD)² = (AD)² (by Pythagoras Theorem)
=> 8² + 15² = s²
=> 64 + 225 = s²
=> s = [tex]\sqrt{289}[/tex]
=> s = 17 units
Hope it helps :)
Please mark my answer as the brainliest
what is the inverse of f(x)=2-2x
is 6 greater then 0.8
Answer:
Yup, its greater than 0.8
Answer:
Yes
Step-by-step explanation:
0.8 is less than 1 and 6 is greater than one so 6 is greater than 0.8. :)
The LSA of square based pyramid with equal edges is 144 square root 3. Find the area of base ?
a2=LSA/3–√=144
a a a a a a a a a a a a a
What times 7 will get me to 38?
Answer:
5.428571428571429
Step-by-step explanation: just do 38 divided by 7 on a calculator
can someone tell me the steps on how i got these answers pls answer i’ll give brainlist and points worth 28 points
please help me out and ill give brainliest
What is 'twelve and forty-eight thousandths” in
decimal form?
Answer:
0.1248
Step-by-step explanation:
I think this is right
hope this helps :)
Which shows the difference (p ^ 2 + 6p + 2)/(4p ^ 2) - (10p ^ 2)/(4p ^ 2) ?
Answer:
-9p²+6p+2/4p²Step-by-step explanation:
Given the expression
(p ^ 2 + 6p + 2)/(4p ^ 2) - (10p ^ 2)/(4p ^ 2)
Find the LCM
The LCM = 4p²
[p²+6p+2 - (10p²)]/4p²
Expand
p²-10p²+6p+2/4p²
-9p²+6p+2/4p²
hence the required expression is -9p²+6p+2/4p²
HELP ME PLEASE ITS MATH
Answer:
the answer is C because all you need to do is just count how many there are
Step-by-step explanation:
Answer:
D. 5 units
Step-by-step explanation:
Using the pythagorean theorem:
[tex]a^2 + b^2 = c^2\\a = 3\\b=4\\3^2 + 4^2 = c^2\\9 + 16 = c^2\\25 = c^2\\c= 5[/tex]
Here's a picture of what this looks like and a deeper explanation:
Oliver buys 4 pineapples. Each pineapple is
$2 off the original price. He pays $4. What is
the original price of a pineapple?
Answer:
hello
Step-by-step explanation:
Order the decimals from least to greatest.
0.7, 0.71, 0.07
Answer:
0,07, 0.7, 0.71
Step-by-step explanation:
0.07, 0.7, 0.71
that's it
You roll a spinner that is numbered 1-4. What is the probability of landing on a number less than 3 and then landing on a 4? (determine the answer and explain your process for doing so)
Answer:
The probability is 1/4
Step-by-step explanation:
So there's 4 possible outcomes. So if you roll the spinner and you can only get one outcome. So it'll be 1/4.
Answer:
P(<3, then 4) = 1/2 x 1/4 = 1/8
Step-by-step explanation:
probability of a number less than 3 would mean landing on a 1 or 2, which has a prob. of 1/2
probability of landing on the number 4 is 1/4
multiply the probabilities
PLEASE HELP MEEEEEE I AM SOOOOOOOOOOOO CONFUZED
Calculate the area of the irregular polygon shown below:
24 square inches
44 square inches
54 square inches
84 square inches
Someone help and makes sure the answer is right please :)
Answer:
x=6
Step-by-step explanation:
Since the two lines are parallel, the angles are congruent to each other.
-4+14x=80
14x=84
x=6
Hope this helps!
Answer:
6
Step-by-step explanation:
-4+14x=80
14x=84
x=6
Hopefully, it helps and it's correct!
a bakery sold 123 chocolate cupcakes in a day, which was 41% of the total number of cupcakes sold that day. how many total cupcakes did the bakery sell that day?
Answer:
300
Step-by-step explanation:
took the test adn this is right now PLEASE MARK BRAINLIEST
Answer:
they sold 300 cupcakes
Step-by-step explanation:
please mark brainliest
please help: x+3y=4 x= -2
Answer: If x is -2 then y has to be 2
Step-by-step explanation:
-2+3y=4 move the constant to the right
3y=4+2 calculate
3y=6 divide both sides
Y=2
You rent an apartment that costs $800 per month during the first year, but the rent is set to go up $170 per year. What would be the monthly rent during the 8th year of living in the apartment?
The monthly rent during the 8th year of living in the apartment will be $2160.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
You rent an apartment that costs $800 per month during the first year, but the rent is set to go up by $170 per year.
Then the monthly rent during the 8th year of living in the apartment will be
Let y be the monthly rent and x be the number of years.
Then we have
y = 170x + 800
The rent after 8 years, then the rent will be
y = 170 × 8 + 800
y = 1360 + 800
y = $ 2160
Thus. the monthly rent during the 8th year of living in the apartment will be $ 2160.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
please help me with this slope problem! :) (brainliest)
Answer:
Plot these points
(1,935)
(2,870)
(3,805)
(4,740)
(5,675)
Slope= -65
y intercept = 1000
and what it's saying is that we travel at a speed of 65 units an hour and we start 1000 miles away
Step-by-step explanation:
Just graph these points which you can get by plugging in the numbers
1000-65= 935
(1,935)
1000-65*2=870
(2,870)
1000-65*3= 805
(3,805)
1000-65*4=740
(4,740)
1000-65*5= 675
(5,675)
B:
y= mx+b where m is the slope and B is the y intercept
we can re write the equation as follows
-65x+1000
It's pretty clear that -65 is the slope and 1000 is the y intercept
If Earth's total mass is 6 x 10^24 kg, what proportion of this is lost every year?
Step-by-step explanation:
This is well within the mass uncertainty of 0.01% (6×1020 kg), so the estimated value of Earth's mass is unaffected by this factor. Mass loss is due to atmospheric escape of gases. About 95,000 tons of hydrogen per year (3 kg/s) and 1,600 tons of helium per year are lost through atmospheric escape.