Answer:
x = 0
Step-by-step explanation:
Any number to the power of 0 is going to equal 1.
Jerry started doing sit-ups every day. The first day he did 16 sit-ups. Every day after that he did 4 more sit-
ups than he had done the previous day. Today Jerry did 32 sit-ups. Enter an equation that could be solved
to find the number of days Jerry has been doing sit-ups, not counting the first day.
The equation
doing sit-ups.
can help find the number of days Jerry has been
Answer:
16+(4*x)=32
Step-by-step explanation:
x is equal to the number of days he did sit ups. You can solve this by solving for x.
Find the surface area and volume. show your work.
9514 1404 393
Answer:
area = 211 +7√205 ≈ 311.22 square unitsvolume = 273 cubic unitsStep-by-step explanation:
Surface area
The length of the hypotenuse of the front facing triangle is given by the Pythagorean theorem:
d^2 = 13^2 +6^2 = 169 +36 = 205
d = √205
So, the perimeter of that triangle is ...
P = 13 +6 +√205 = 19 +√205
The total area of the rectangular faces of this triangular prism is then ...
rectangular face area = (base perimeter)·(prism height)
= (19 +√205)(7) = 133 +7√205
The area of the two triangular faces will be ...
triangular face total area = 2·(triangle area) = 2(1/2)(6)(13) = 78
Then the total surface area is ...
total surface area = rectangular face area + triangular face total area
total surface area = (133 +7√205) +78
surface area = 211 +7√205 ≈ 311.22 . . . . square units
__
Volume
The volume is the product of the area of the triangular base and the height of the prism.
V = Bh
V = (39)(7)
volume = 273 . . . . cubic units
Find each percent decrease.Round to the nearest percent.
Answer:
7. 33%
6. 75%
8. 67%
Step-by-step explanation:
5. 80-15=65
65/85=0.8125 => 81%
6. 100-25= 75
75/100= 0.75=> 75%
7. 60-40=20
20/60=0.333333=>33%
8. 39-13=26
26/39=0.666666667=67%
what is the quotient 6x^4-8x^2 divided by 2x^2, where x does not equal 0?
Answer:
3x^2 - 4
Step-by-step explanation:
6x^4 - 8x^2 ÷ 2x^2
= 3x^2 - 4
Greeks bucked a global trend in which people in most countries expect their lives in five years to be better than their current lives. Even among those countries with much lower currrent life ratings, greater optimism was found because people cannot fathom their lives getting worse. But in Greece, only 25% expect their lives to be better in five years. In a simple random sample of 1100 Greek citizens, what is the probability that less than 27 percent of the sample expect their lives to be better in five years?
Answer:
The value is [tex]P( p < 0.27 ) = 0.67792[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p= 0.25
The sample size is n = 100
Generally given that the sample size is sufficiently large n > 30 , the mean of this sampling distribution is mathematically represented as
[tex]\mu_{x} = p = 0.25[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ \frac{ p(1 - p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{ \frac{ 0.25 (1 - 0.25 )}{100} }[/tex]
=> [tex]\sigma = 0.0433[/tex]
Generally the probability that less than 27 percent (0.27)of the sample expect their lives to be better in five year is mathematically represented as
[tex]P( p < 0.27 ) = P( \frac{ p - \mu_{x}}{\sigma} < \frac{0.27 - 0.25 }{ 0.0433} )[/tex]
[tex]\frac{p -\mu}{\sigma } = Z (The \ standardized \ value\ of \ p )[/tex]
=> [tex]P( p < 0.27 ) = P( Z< 0.4619 )[/tex]
From the z table the area under the normal curve to the left corresponding to 0.4619 is
[tex]P( Z< 0.4619 ) = 0.67792[/tex]
[tex]P( p < 0.27 ) = 0.67792[/tex]
PLEASE HELP! BEST ANSWER MARKED AS BRAINLIEST!!!!!!!!!!!!!!!!!!!
What is the least common multiple of 4, 12, and 15?
Answer:
60
Step-by-step explanation:
4*15=60=12*5
What value goes in cell B?
Answer:
A. 27
B. 125
C. 857 [tex]\frac{3}{8}[/tex]
D. s³
Step-by-step explanation:
The volume of the cube = side × side × side = (side)³
Let us use this rule to complete the table
A.
∵ The side length of the cube = 3 units
∴ Its volume = 3 × 3 × 3 = 3³
∴ Its volume = 27 unit³
B.
∵ The side length of the cube = 5 units
∴ Its volume = 5 × 5 × 5 = 5³
∴ Its volume = 125 unit³
C.
∵ The side length of the cube = 9[tex]\frac{1}{2}[/tex] units
∴ Its volume = 9[tex]\frac{1}{2}[/tex] × 9[tex]\frac{1}{2}[/tex] × 9[tex]\frac{1}{2}[/tex] = (9[tex]\frac{1}{2}[/tex])³
∴ Its volume = 857 [tex]\frac{3}{8}[/tex] unit³
D.
∵ The side length of the cube = s units
∴ Its volume = s × s × s = s³
∴ Its volume = s³ unit³
what is the scale factor from figure A 10,11,18 to figure B 72,44,40
Answer: uhnu
Step-by-step explanation: ugyfdtduyyggy
yjjh
Help pleaseee !!!!!!
-6(5r - 6) + 4(6 + 4r)
Answer: -14r + 60
your welcome.
Round the weight of one dose to the nearest gram
Answer:
whats the weights?
Step-by-step explanation:
(3) 4 is 80% of what number?
Answer:
5
Step-by-step explanation:
5 * . 8 = 4
Decide whether a line with the given slope m=7/6 slants upward or downward from left to right, or whether its horizontal or vertical
The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 per hour. What is the cost of a rental for 3 hours? Show your work.
Answer:
80
Step-by-step explanation:
35 + 15x
x=3
15. 3 =45
45+35=80
the histograms below summarize the average travel time to work for random samples of 70 workers in the los angeles area and 61 workers in thr new york city area.
a) briefly compare the distribution of travel times for these two regions
b) suppose you wanted to make the point that typical travel time is longer in the new york city area than in the los angeles area. which measure of center would you use? justify your answer
Answer:
A) There are more workers in the L.A area that take up to 20 minutes to get to their job.
B)40 minutes or more.
Step-by-step explanation:
Even though the graph from the New York area is more well distributed, you can see a clear increase in the number of cases above 40 minutes in the New York area compared to the Los Angeles, which are probable around 3o workes, while in the New York Area graph those travel times are reserved for more than half of the workers that were interviewed, so we can assure that workers from the New York Area spend more time traveling to their jobs.
What is the slope of the line shown on the graph?
Answer: 2/4
Step-by-step explanation:
Rise=2
Run=4
Rise/Run(2/4)
Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0+1}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]
What is the complete factorization of the polynomial below?
x3 + 9x2 + 26x + 24
A. (x+3)(x+3)(x + 1)
B. (X + 8)(x+3)(x + 1)
C. (x+6)(x + 2)(x + 2)
D. (x + 4)(x+3)(x + 2)
Answer:
D) (x + 4)(x+3)(x+2)
Step-by-step explanation:
Used synthetic division to find factors.
PLEASE HELP ILL GIVE YOU BRAINLIEST I REALLY NEEW THE ANSWER
Answer:
i need more info
Step-by-step explanation:
Answer:
exact form is 31/50
decimal form 0.62
Step-by-step explanation:
A major airline knows that about 2 percent of passengers do not manage to show up for their flight. Consider a small aircraft having 50 seats, and suppose that an airline sells precisely 50 tickets for a specific flight. Assuming that all passsengers are independent and have the same probability of not showing up, compute the probability that
Answer:
a. The probability that the aircraft is fully occupied = 0.3642
b. The probability that between 1 and 5 (including 1 and 5) passengers do not show up is = 0.6354
Step-by-step explanation:
From the given information:
We are to compute the probability that:
a. The aircraft is fully occupied( i.e. all the passengers show up)
b. Between 1 and 5 (including 1 and 5) passengers do not show up
Given that:
Percentage of passengers that do not show up = 2% = 0.02
And the population of the passengers = 50; since 50 tickets are being sold for a specific flight.
Let assume X be the random variable that follows a binomial distribution, thus, the number of passengers from the aircraft with 50 passengers can be represented as:
[tex]X \sim Bin (n = 50, p =0.02)[/tex]
Thus;
The probability that the aircraft is fully occupied i.e. all the passengers show up is:
[tex]= (1 - 0.02)^{50}[/tex]
= 0.98⁵⁰
= 0.3642
Hence, The probability that the aircraft is fully occupied = 0.3642
b. The probability that between 1 and 5 (including 1 and 5) passengers do not show up is:
= P(X = 1) + P(X =2) + P(X = 3) + P(X = 4) + P(X = 5)
= [tex]=(^{50}_1) 0.02(1-0.02)^{50-1} +(^{50}_2) 0.02(1-0.02)^{50-2} + (^{50}_3) 0.02(1-0.02)^{50-3} + ... + (^{50}_5) 0.02(1-0.02)^{50-5}[/tex]
[tex]=(^{50}_1) 0.02(0.98)^{49} +(^{50}_2) 0.02(0.98)^{48} + (^{50}_3) 0.02(0.98)^{47} + ... + (^{50}_5) 0.02(0.98)^{45}[/tex]
= 0.6354
Hence, The probability that between 1 and 5 (including 1 and 5) passengers do not show up is = 0.6354
Find the midpoint of the segment with the following endpoints (-3,-3) (1,2)
What’s 4/9z - 3/9z + 5 - 5/9z - 8
Answer:
=−4/9z−3
Step-by-step explanation:
4
9
z−
3
9
z+5−
5
9
z−8
=
4
9
z+
−1
3
z+5+
−5
9
z+−8
Combine Like Terms:
=
4
9
z+
−1/3
z+5+
−5
9
z+−8
=(4/9z+−1/3z+−5/9z)+(5+−8)
A Christmas tree is supported by a wire that is 9 meters longer than the height of the tree. The wire is anchored at a point whose distance from the base of the tree is 41 meters shorter than the height of the tree. What is the height of the tree
Answer:
The height of the tree is 80 meters.
Step-by-step explanation:
Let the height of the Christmas tree be x meters.
Then the length of the wire will be, (x + 9) meters.
And the wire will (x - 41) meters away from the base of the tree.
Consider the diagram below.
Use Pythagoras theorem to solve for x as follows:
[tex]AB^{2}=AC^{2}+CB^{2}[/tex]
[tex](x+9)^{2}=x^{2}+(x-41)^{2}\\\\x^{2}+18x+81=x^{2}+x^{2}-82x+1681\\\\x^{2}-100x+1600=0\\\\x^{2} -80x-20x+1600=0\\\\x(x-80)-20(x-80)=0\\\\(x-80)(x-20)=0[/tex]
The value of x is either 80 or 20.
If x = 20, then the base CB will be -21. This is not possible as length is always positive.
Thus, the value of x is 80.
Hence, the height of the tree is 80 meters.
Please help with this question
Answer:
$8.25 is the answer.
Step-by-step explanation:
Answer:
8.25
Good luck!
Difference of 9p3q2 and 13p3q2
Select all tables that represent a proportional relationship between x and y.
x 2 6 7 10
y 8 24 28 40
x 0 5 10 15
y 10 15 20 25
x –2 0 3 5
y –6 0 9 15
x 0 1 2 3
y 4 5 6 7
x –8 –6 –4 –2
y –9 –7 –5 –3
The answer is B, D , and E
Step-by-step explanation:
You have to look for the same pattern on both rows, wether they come out even or odd.
Question 4 If 5 pounds of oranges costs $11.55, how much would it cost for 12 pounds of oranges?
Answer:
4.8125
Step-by-step explanation:
divide 5 by 12 then multiply 11.55
SOMEONE HELP ME LOL
Answer:
y=3x+1
Step-by-step explanation:
Use the distributive property to express 24 + 36. *
O. 3 (8 + 13)
O. 6 (4 +5)
O. 12 (1 + 4)
O. 12 (2 + 3)
Answer:
12(1 + 4) AND 12(2 + 3) are the correct answers.
Step-by-step explanation:
24 + 36 = 60
12(1 + 4)=
12(5) = 60
12(2 + 3)
12(5) = 60
Hope this helps and pls do mark me brainliest if you can:)
12.5, 25, 37.5, 50 (What is the pattern?)
Answer:
adding 12.5
Step-by-step explanation:
12.5 --> 25 through +12.5
25 --> 37.5 through +12.5
37.5+12.5 = 50 = 50
Answer:
You are adding 12.5 every time.
Step-by-step explanation:
12.5+12.5=25
25+12.5= 37.5
37.5+12.5=50
Hope this helps!
Find the inverse of the matrix:
A =
4 2
3 2
Step 1: Calculate the determinant:
Answer:
The answers are correct.
Step-by-step explanation:
Please rate the answer and like it if it helped.