Answer:
160 [tex]cm^{2}[/tex]
Step-by-step explanation:
The lateral surface area is the area of the considered plane side of a given figure or shape. To calculate that of a prism, it is the product of the base of a prism and its height.
Thus for the given prism;
lateral surface area = (perimeter of its base) x height
perimeter of the base = 6 + 6 + 2 + 2
= 16
Lateral surface area of the prism = 16 x 10
= 160 [tex]cm^{2}[/tex]
Therefore, the lateral surface area of the prism is 160 [tex]cm^{2}[/tex].
Factor out the gcf
-240c^2+ 30c^5+ 18c^4
Answer:
6c^2(-40 + 5c^3 + 3c^2)
Step-by-step explanation:
These three terms have the common factor c^2. Thus:
-240c^2+ 30c^5+ 18c^4 = c^2(-240+ 30c^3+ 18c^2).
Recognizing that 6 is common to all three terms inside the parentheses, we get:
6c^2(-40 + 5c^3 + 3c^2) This is as far as factoring of this expression can be taken.
During Marta's last youth league soccer game, the starting players for each team had varied heights. The following is a list of their heights in inches.
61, 59, 64, 67, 60, 63, 60, 58, 63, 58, 64, 65, 60, 64, 63, 59, 65, 58, 66, 59, 63, 56
What is the median height for a starting player on the two teams?
What value(s) of x will make x2 = 36 true? O A. 8 and -8 O.B. 6 C. 6 and -6 D. 6
Answer:
C and D
Step-by-step explanation:
If you mean x^2 (x squared), then C and D are both right.
Find the surface Area of the rectangular prism. 7mi, 4 mi, and 2 mi
Answer:
I believe the answer is 100miStep-by-step explanation:
=_=
Whats the opposite of 8x
Answer:
-8x
Step-by-step explanation:
Answer:
x/8
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
What is the base of the expression 11 and 12 square? 3 11 12 21
Answer:
your answer is 11
Step-by-step explanation:
An exponential has the base at the bottom
Heber pays $40 each month to stream Disney+ on one device.
To stream Disney+ on multiple devices Heber must pay an additional $15 per device.
If for one month, Heber's bill was $115, on how many additional devices did Heber stream Disney+?
hurry plz
Answer:
5
Step-by-step explanation:
take your price and subtract the monthly price
115-40=75
now you have the price of all your extra devices summed up
75÷15=5 extra devices
Can someone help me with this please .
I’ll mark you as a brainliest.
Step-by-step explanation:
hey ya go, mate anyways I switched to PC and I find these yw
i need to find the measure of angle L
Answer:
Angel L = 52°
Step-by-step explanation:
In ∆ JKL,
J = 8x + 6°
K = 2x + 2°
L = 4x+ 4°
L =?
Let's solve this question with the help of Angle Sum Property of a Triangle (ASPT).
We know that all angles in a triangle add up to 180°.
180 = ∆JKL
180 = J + K + L
180 = (8x + 6) + (2x + 2) + (4x + 4)
180 = 8x + 6 + 2x + 2 + 4x + 4
180 = 8x + 2x + 4x + 6 + 2 + 4
180 = 14x + 12
14x = 180 - 12
14x = 168
x = 168/14
x = 12°.
Now, L° = 4x + 4
= 4(12) + 4
= 48 + 4
= 52°.
7 1/5 improper fraction
Answer:
12/5
Step-by-step explanation:
7 1/5=
Answer:
[tex] \frac{36}{5} [/tex]
Step-by-step explanation:
consider downloading photomath
Determine the slope between the points ( 4, 5 ) and 3, -1 )
Answer:
6
Step-by-step explanation:
Aviation:
An airplane goes down from 42,000 feet to 18,000 feet in 12 minutes. What is the rate of change of the altitude in feet per minute?
Change in altitude:
42,000 - 18,000 = 24,000 feet
Rate of change = 24,000 feet / 12 minutes = 2,000 feet per minute
Because the plane was going down, the rate of change would be negative.
The rate would be -2,000 feet per minute.
Johnny read an entire series of books with a total of 5,336 pages. In the equation below, d is the number of days it took Johnny to read the book series. 5,336 = 29d What is the unit rate in the equation?
Answer:
29 pages
Step-by-step explanation:
Lola's hair today is 24" long. It grows 1.5" per month. She is a pretty tall girl for her age, about 60" right now! Her brother has long hair too. His hair is about 12" long. What does the y stand for?
If I'm correct, you're asking which variable is the dependent variable y from the question
Answer and explanation:
The equation can be modelled:
y= 1.5x
Where y is the current length of the hair
x is the number of months of hair growth
We can see from the equation therefore that y is a dependent variable that depends on x the independent variable, the number of months, to get a value. In other words given that her hair grows at a constant rate of 1.5 inches per month, her hair length is based on number of months x of growth in inches of hair.
There are 12 rolls of film in a box, and 4 are defective. Two rolls are to be selected, one after the other, sampling without replacement. What is the probability of selecting two defective rolls?
Group of answer choices
None of the answers is correct.
7/23
12/132
16/144
1/4
12/144
Using the hypergeometric distribution, it is found that the probability is 12/132
------------------------------------
The rolls are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.
------------------------------------
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
------------------------------------
12 rolls means that [tex]N = 12[/tex]4 defective means that [tex]k = 4[/tex]2 are chosen, which means that [tex]n = 2[/tex]------------------------------------
What is the probability of selecting two defective rolls?
This is P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,12,2,4) = \frac{C_{4,2}*C_{8,0}}{C_{12,2}} = \frac{4 \times 3}{12 \times 11} = \frac{12}{132}[/tex]
12/132 is the probability.
A similar problem is found at https://brainly.com/question/24229905
If the simple interest rate on $6000 for 8 years is $2880, then what is the interest rate?
PLEASE HELP I WILL MARK BRAINLIEST!!
Answer:
12.5%
Step-by-step explanation:
Sorry if it's not right A bit rusty with percentages
Answer: 6
Step-by-step explanation:
can anyone help me asap? Thank you
Answer:
Step-by-step explanation:
Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?
Answer:
Step-by-step explanation:
the answer is m<1 = m<2
Help please help me
Answer:
Step-by-step explanation:
Range = maximum value - minimum value
= 25 - 6 = 19
Option D is the correct answer
Evaluate of the expression when b = -2 and c = 3 ?
9b + 8C + 1 - 6b - 5C - 6.
The value when b = -2 and c = 3 is ?
Simplify the following Complex Numbers.
\frac{1-3i}{2+5i}
2+5i
1−3i
Answer:
{1-3i}{2+5i}
Step-by-step explanation:
1(2+5i)-3i(2+5i)2+5i-6i+15i22+5i-6i+15(-1)2+5i-6i-152-15+5i-6i-13-i (answer)Answer:
[tex]\frac{-13 - 11i}{29}[/tex]
Step-by-step explanation:
You need to multiply the numerator and denominator by the conjugate of
2 + 5i, which is 2 - 5i
So, [tex]\frac{(1 - 3i)(2 - 5i)}{(2 + 5i)(2 - 5i)} = \frac{2 - 11i - 15}{4 +25} = \frac{-13 - 11i}{29}[/tex]
Solve for x
-18 = 9 - 3x
Answer:
3x=9+18
=27
x =27÷3
x=9
the answer of x is 9
Rewrite the equation so that the x term is on the left:
9 - 3x = -18
Move the number to the right and change the sign:
-3x = -18 - 9
-3x = -27
Change the sign of both terms:
3x = 27
Move the 3 to the right and change the sign:
x = 27 ÷ 3
x = 9 is your answer.
ok I don't really know how you would begin to solve this question
Answer:
y = 40.96
Step-by-step explanation:
Given
4 = [tex]\frac{y}{10.24}[/tex] ( multiply both sides by 10.24 to clear the fraction )
4 × 10.24 = y , that is
y = 40.96
arrange the following and ascending and descending order first one is 1 by 12 1 by 23 1 by 5 1 by 7 1 by 50 1 by 9 1/17
if tell the right answer I will give you brainleast
Answer:
Ascending order is given by
1/50<1/23<1/17<1/12<1/9<1/7<1/5
Descending order is given by
1/5>1/7>1/9>1/12>1/17>1/23>1/50
Step-by-step explanation:
We are given that
1/12,1/23,1/5,1/7,1/50,1/9,1/17
We have to arrange the numbers in ascending and descending order.
LCM of 12,23,5,7,50,9,17
[tex]23\times 5\times 12\times 7\times 50\times 17\times 9[/tex]
=73899000
[tex]\frac{1}{12}\times \frac{6158250}{6158250}=\frac{6158250}{73899000}[/tex]
[tex]\frac{1}{23}\times \frac{3213000}{3213000}=\frac{3213000}{73899000}[/tex]
[tex]\frac{1}{5}\times \frac{14779800}{14779800}=\frac{14779800}{73899000}[/tex]
[tex]\frac{1}{7}\times \frac{10557000}{10557000}=\frac{10557000}{73899000}[/tex]
[tex]\frac{1}{50}\times \frac{1477980}{1477980}=\frac{1477980}{73899000}[/tex]
[tex]\frac{1}{9}\times \frac{8211000}{8211000}=\frac{8211000}{73899000}[/tex]
[tex]\frac{1}{17}\times \frac{4347000}{4347000}=\frac{4347000}{73899000}[/tex]
14779800>10557000>8211000>6158250>4347000>3213000>1477980
Therefore,
Ascending order is given by
1/50<1/23<1/17<1/12<1/9<1/7<1/5
Descending order is given by
1/5>1/7>1/9>1/12>1/17>1/23>1/50
There are 5 times as many orange popsicles as grape popsicles in Reid's freezer. There are 12 more orange popsicles than grape popsicles. How many grape popsicles are there in Reid's freezer?
Answer:
3 grape popsicles
Step-by-step explanation:
Let us represent
Orange popsicles = x
Grape popsicles = y
There are 5 times as many orange popsicles as grape popsicles in Reid's freezer.
x = 5y ..... Equation 1
There are 12 more orange popsicles than grape popsicles.
x = y + 12..... Equation 2
Hence, we substitute 5y for x in Equation 2
5y = y + 12
5y - y = 12
4y = 12
y = 12/4
y = 3
Note that, Grape popsicles = y
y = 3 grape popsicles.
Therefore, the number of grape popsicles that are there in Reid's freezer is 3 grape popsicles
Answer:
17b popsicles
Step-by-step explanation:
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What is the LCM (least common multiple) of 2 and 7
Answer:
14
Step-by-step explanation:
Answer: 14
Step-by-step explanation:
The greatest common multiple of 2 and 7 is 1, because they are both prime numbers (numbers that cannot be divided by anything other than one or themselves).
Why bother with the greatest common multiple?
There's a very sneaky formula you can do to calculate the LCM with this.
[tex]lcm(a, b) = \frac{|a * b|}{gcd(a, b)}[/tex]
where lcm(a, b) = the least common multiple of integers a and b (1)
a = integer a (2)
b = integer b (7)
gcd(a, b) = greatest common divisor of integers a and b
So let's use it, we have all the available numbers.
[tex]lcm(a, b) = \frac{|2 * 7|}{1} = 14[/tex]
They aren’t asking for the total cost, right? Just the commission?
Yes there asking for just commission and the answer is 46.05
#10) Karen's mailbox is 30 feet from her front door. What is this distance in
meters?
Answer:
9.14400m
Step-by-step explanation:
cindy claims that 4^x/12^x=1/3
The temperature in the
morning was 45°. Later in
the afternoon, the
temperature was measured
to be 62°. What was the
percent change in
temperature? (Round to
the nearest percent.)
Answer:
8 % i think
Step-by-step explanation:
45 d ..... 62 d
0.45
62 - 45 = 17
17 x 0.45= 7.65