Answer:
height = 12 cm
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h(a + b)
where h is the height and a, b the parallel bases.
Here A = 120, a = 6 and b = 14 , thus
[tex]\frac{1}{2}[/tex] h (6 + 14) = 120
[tex]\frac{1}{2}[/tex] h × 20 = 120
10h = 120 ( divide both sides by 10 )
h = 12 cm
Use the Remainder Theorem to find the remainder for (2x^3- 3x^2+x)/(x-1) and state whether or not the binomial is a factor of the
polynomial.
As 2x³ - 3x² + x is completely divisible by x - 1 it is a factor of the polynomial.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given a polynomial 2x³ - 3x² + x which is being divided by x - 1.
Now, If 2x³ - 3x² + x is divisible by x - 1 then x = 1 is a root of the polynomial
2x³ - 3x² + x.
Therefore,
2(1)³ - 3(1)² + 1 = 0
2 - 3 + 1 = 0.
3 - 3 = 0.
0 = 0.
So, The binomial x - 1 is a factor of the polynomial.
learn more about the remainder theorem here :
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If the interest charge is 1.5 percent per month on an overdraft, how much interest is due one month after an overdraft of $50?
Rewrite the percentage as a decimal:
1.5% = 0.015
Multiply by the amount of the overdraft:
50 x 0.015 = 0.75
The interest is $0.75
30 points + brainly
Question one ( both questions use the same picture)
The histogram below represents the heights of the Boston Celtics. What size are the intervals on the histogram?
2 inches
3 inches
4 inches
5 inches
Question 2
The histogram below represents the heights of the Boston Celtics. Which of the following statements is true?
The mode interval of this set is 79” – 81”.
There are more players between 73” and 75” than there are between 82” and 84”.
The most number of players are in the interval between 76” and 78”.
The fewest number of players are in the interval between 82” and 84”.
Answer: 3 inches
The mode interval of this set is 79” – 81”.
Step-by-step explanation: You are looking for the mode which means the one that occurs most frequently
A gym has two different membership offers. The usual offer is $10 per month (m) plus a $300 set-up fee. The promotional offer is $30 per month (m) with no set-up fee. Write a system of equations that models the total costs (c) that both memberships offer. Write your equations separately but do not include spaces within each equation.
Can someone help me with this? ;^;
Answer:
The mode would be 10
Step-by-step explanation:
Because it is there more than the others
hope this helps! =D
Answer:
10
Step-by-step explanation:
Two different sports teams are doing fundraising to be able to afford their uniforms. The softball team needs to raise $318.12 between the twelve girls on the team. The hockey team needs to raise $391.92 between the 24 boys on the team. If each player raises the same amount of money, does each softball player or hockey player need to raise more? How can estimation help you solve?
Answer: A softball player will need to raise more.
Step-by-step explanation:
The softball team needs to raise $318.12 among the twelve girls on the team. Each softball player needs to raise:
$318.12 ÷ 12 = $26.51
The hockey team needs to raise $391.92 among the 24 boys on the team. Each hockey player will raise:
$391.92 ÷ 24 = $16.33
A softball player will raise $26.51 while a hockey player will raise $16.33. Therefore, a softball player will need to raise more.
KN and JM are diameters of circle I. Find m LIM.
Answer:
46 degrees
Step-by-step explanation:
If x is 6, then 7x =
Answer:42
Step-by-step explanation:
if x=6 u change the x with 6 then the equation would be 7x6= 42
I will give you all five stars ⭐⭐⭐⭐⭐
Answer:
B
Step-by-step explanation:
Seeing as the change is consistent within the vertices, this would be correct.
I NEED HELP RiGHT AWAY
8−4(−x+5)
Answer:
4x-12
Step-by-step explanation:
CAN YOU HELP ME ON NUMBER 19
WHOEVER COMES FIRST I WILL GIVE 5 STARS I PROMISE :)
Answer:
i think it's b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It would be B because there are different number spikes in the different ages for the different reasons. Therefore there is no association with the two ages
Which fraction is equivalent to 15/30
A 3/4
B 2/4
C 3/5
D 5/6
Answer:
2/4
Step-by-step explanation:
A triangle has angles that measure 59°, 48°, and 73°. What kind of triangle is it?
Answer: it is an isosceles triangle
Step-by-step explanation:
all three angles are lower than 90 degrees. if the angles were all higher than 90 degrees the triangle would be considered obtuse. even though all the angles are lower than 90 degrees, it would also be considered acute.
Help ASAP please ! Also explain how you got it
Answer:
I believe that the answer is C.
Step-by-step explanation:
Which sentence is true?
A. - 3 > - 7
B. - 2 < -9
C. 4 < -1
D. - 5 > 0
Answer:
A
Step-by-step explanation:
I believe A. is true for the question
What is the shape of the graph of the function?
h(t) = 0.32 - 0.5t
Its pretty obvious since the other answer has 1 star, but its B. I got it right on khan academy:)
The correct statement is option A)
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The graph of the function h(t)=0.32-[tex]0.5^t[/tex]
which can be re written as h(t)= [tex]\frac{8}{25}[/tex] - [tex]\frac{1}{2} ^t[/tex]
Thus clearly as the value of t increases or as we move from negative to positive values the graph of the function tends towards zero and is negative for negative values of t.
For instance, at t= -4 we have
8/25 - 16=15.68
and at t=4 we have
8/25 - 1/16 =0.2575
And it intercepts the x-axis at (1.644,0)
Clearly h(t) is smaller for negative values of t and higher for higher values of t and thus has a upward curvature when we input the values from left to right.
Hence, The curve should slowly bend towards x-axis and option A is the correct answer because the graph is higher values for higher values of t.
Learn more about functions here;
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Find the area of the pentagon.
A) 107 inches2
B) 116 inches2
C) 150 inches2
D) 182 inches2
Find the area of the pentagon.
A) 107 inches2
B) 116 inches2
C) 150 inches2
D) 182 inches2
Answer:
A
Step-by-step explanation:
Answer:
A) 107 inches2
Step-by-step explanation:
4*16= 64
64/2 = 32
9+16 = 25
25/2 = 12.50
12.50*6 = 75
32 + 75 = 107
Got it right in USA TESTING
Hattie accepted a job as a makeup artist after being offered a $550 signing
bonus. If she makes $32 an hour, which equation models Hattie's total pay y,
in dollars, as it relates to the number of hours x that she works?
The equation would be y=32x+550. 32 an hour is represented by 32x since she earned 32 an hour. 550 is the extra amount she is getting paid.
I hope this helps.
Answer:
y=32x+550
Step-by-step explanation:
What is the surface area of the rectangular pyramid? m2
Answer:
82.8
Step-by-step explanation:
Help ASAP please ! Explain too if you can
Answer:
B
Step-by-step explanation:
180-118=42 so angle c=42
add 42 +76 =138
in a triangle all degrees ad up to 180 so
subtract 138 from 180=42
Answer:
B) 42 degrees
Step-by-step explanation:
If we're looking for the measure of angle E, we need to know the measures of angles D and C too. (Otherwise we just have nothing to work with.)
So they already give us angle D's measurement, which is 76; we just have to find the smaller angle at C and then solve for E. If this doesn't make sense, just look at C; there's a big angle (118) and a small one that we don't know. We have to find the small one.
Well at C there's just a straight line, so we can assume that the big angle and the small angle add up to 180 degrees, because straight angles are always 180 degrees.
Now to get the small angle, we can take 118 away from 180 to get 62, which will be the measure of the smaller angle. (Comment if you don't know why I did this.)
Now that we know two out of three measures in the triangle, we can find the measure of angle E. All triangles' angles add up to 180 degrees, so we can take away 76 (measure of D) and 62 (measure of small C) from 180 to get the measure of E: 180 - 76 - 62 = 42
So the measure of angle E is 42.
Find the value of x.
Answer:
x=51
Step-by-step explanation:
Formula: 35+16=x
Step 1: Simplify both sides of the equation.
35+16=x
(35+16)=x(Combine Like Terms)
51=x
51=x
Step 2: Flip the equation.
x=51
Hope this helps.
please anwser this picture
Answer:equal
Step-by-step explanation:
Answer equal
Step-by-step explanation:
A manager of a grocery store wants to determine if consumers are spending
more than the national average of $150 with a standard deviation of $30. The
manager collects 10 random receipts and finds that the average customer
spends $160. He then concludes that his customers do spend more than the
national average. a) What do you see as his error in this assumption? b) How
could you redesign the study to correct it?*
Answer:
1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ
2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;
[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]
Step-by-step explanation:
We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, [tex]\bar x[/tex], approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is [tex]\left | \bar{x} - \mu \right |[/tex]
1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ
2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;
[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]
Where:
σ = Population standard deviation = $30
z = z value at 95% confidence level = 1.96
[tex]\bar x[/tex] = Sample mean $160
n = Sample size = 10
Plugging in the values, we have;
$141.4 < [tex]\bar x[/tex] < $178.6
Hence the expected value of the mean should be between $141.4 and $178.6.
many organize a classroom party. there are 20 of cold drinks at the party, 13 of which contain diet Pepsi, what is the probability that randomly selected drink will be a diet Pepsi? answer key
Answer:
so its either 13/20
Step-by-step explanation:
if you get this wrong sorry:(
Solve log2x = log12x by graphing. What equations should be graphed?
Answer:
B and C
Step-by-step explanation:
B and c
Answer:
1st: b,c
2nd: 1
Step-by-step explanation:
Imagine you are at home watching television. You are sitting 6 feet away from your TV which is hung on the wall and the top of it is 8 feet off the ground. Which of the following functions correctly represents the angle θ that you make with the top of your television?
You can trace a right triangle with these features:
- the 6 feet distance represents the horizontal distance from you to the TV, this is the base of the triangle or the adjacent leg
- the 8 feet distance is the vertical distance from the base of the triangle to the TV, this is the height of the triangle or opposite leg.
- the angle theta that you make with the top of your TV is
tan (theta) = opposite leg / adjacent leg = 8/6 =4/3
=> theta = arctan (4/3) = 53.13 degrees.
Answer: 53.103 degrees
Answer:
53.1
Step-by-step explanation:
What number is the opposite of 98?
Answer:
-98
Step-by-step explanation:
hope this is right
Answer:
-98
Step-by-step explanation:
a negative number is the opposite of a positive number
7. A random sample of size n is collected from a considerably larger population
of size N. That sample is used to create a 95% confidence interval to estimate a
population proportion. Using the same sample proportion, the confidence
interval would be narrower if:
(A) A smaller sample size was used.
(B) A t-procedure was used instead of a z-procedure.
(C) A higher confidence level was used.
(D) The population size N was larger.
(E) A lower confidence level was used.
Answer:
B. Larger sample size and lower confidence level
Step-by-step explanation:
The margin of error of a confidence interval is given by the following formula:
In which is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level. The higher the confidence level, the higher the value of Z.
So, the margin of error is direct proportion to the confidence level and inverse proportional to the sample size.
We want to decrease the margin of error.
So the correct answer is:
B. Larger sample size and lower confidence level
Answer:
(E) A lower confidence level was used.
Step-by-step explanation:
The correct answer is (E). With the sample proportion remaining the same, a lower confidence level results in a lower margin of error and a narrower interval.
pls help will mark as brainliest
Answer:
1. Onesimus is the box 1
2. Gauls is box 8
3. Tarsus is box 3
4. Damascus is box 6
5. Ephesus is box 9
6. Colossae is box 12
7. Thessolonica is box 4
8. Ananias is box 2
9. Philippians is box 7
10. Tychicus is box 10
11. Phoebe is box 5
12. Epaphrase is box 11
Step-by-step explanation:
Hope this helps.
what is s10 for 1 + 2 + 4 + 8+...
256
511
1023
2047
Answer:
1023
Step-by-step explanation:
[tex] S_n = \dfrac{a(1 - r^n)}{1 - r} [/tex]
a = first term
r = common ratio
n = number of terms
Here we have
a = 1
r = 2
n = 10
[tex] S_{10} = \dfrac{1(1 - 2^{10})}{1 - 2} [/tex]
[tex] S_{10} = \dfrac{1 - 1024}{-1} [/tex]
[tex] S_{10} = \dfrac{-1023}{-1} [/tex]
[tex] S_{10} = 1023 [/tex]
Of course, since 10 is not such a large number of terms, you can simply do this:
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 = 1023
