Answers
Answer:
The correct polynomial is F. Calculation errors combining h terms and distributing -1.
Step-by-step explanation:
[tex]( - 4h + 3)( {h}^{2} + 9h - 1)[/tex]
[tex] - 4 {h}^{3} - 36 {h}^{2} + 4h + 3 {h}^{2} + 27h - 3[/tex]
[tex] - 4 {h}^{3} - 33 {h}^{2} + 31h - 3[/tex]
Related Questions
Karina gets a 3% interest rate per year for her savings account. She has $8,500 in her savings account. How much money does she have in her account after 1 year?
Answers
Answer:8755
Step-by-step explanation:100%+3%=103% in decimal form 1.03
8500x1.03=8755
Find the value of A+B
5/x²+6x+8 = A/x+2 + B/x+4
Answers
Step-by-step explanation:
[tex] \frac{5}{ {x }^{2} + 6x + 8} = \frac{a}{x + 2} + \frac{b}{x + 4} \\ factorizing \: the \: denominator \: of \: the \: first \: term \\ {x}^{2} + 6x + 8 \\ {x}^{2} + 4x + 2x + 8 \\ ( {x}^{2} + 4x)( + 2x + 8) \\ x(x + 4) + 2(x + 4) \\( x + 2)(x + 4) \\ \\ \\ \\ \frac{5}{(x + 2)(x + 4)} = \frac{a}{x + 2} + \frac{b}{x + 4 } \\ multiplying \: by \: the \: lcm = (x + 2)(x + 4) \\ 5 = a(x + 4) + b(x + 2) \\ put \: x = - 4 \\ 5 = a( - 4 + 4) + b( - 4 + 2) \\ 5 = a(0) + b( - 2) \\ 5 = 0 - 2b \\ 5 = - 2b \\ b = \frac{5}{ - 2} \\ b = - 2 \ \frac{1}{2} \\ substituting \: b = - 2 \frac{1}{2} and \: put \: x = - 2 \\ 5 = a( - 2 + 4) + b( - 2 + 2) \\ 5 = a(2) + b(0) \\ 5 = 2a \\ a = 2 \frac{1}{2} \\ a + b = 2 \frac{1}{2} + ( - 2 \frac{1}{2} ) \\ 2 \frac{1}{2} - 2 \frac{1}{2} \\ a + b = 0[/tex]
Sassan finds that 2 pints 1 cup of water has evaporated from the class aquarium. How many pints of water are left in the aquarium
Answers
The pints of water left in the aquarium is 2.5 pints
Converting cups to pintUsing the conversion rule sho below:
1 cup = 0.5 pint
If Sassan finds that 2 pints 1 cup of water have evaporated from the class aquarium, the total pint that evaporated is expressed as:
Total pint = 2 pints + 0.5 pint
Total pint = 2.5 pints
Hence the pints of water left in the aquarium is 2.5 pints
Learn more on pints and cups here: https://brainly.com/question/26941359
is (1,9) included in the graph p=3m+6
Answers
Find the length of the third side. If necessary, round to the nearest tenth.
9
13
Answers
Answer:
15.8
I think there is a part of the question missing (the triangle is a right triangle)
hope this helps
+let me know if you need an explanation
Solve the word problem below.
Jane took out $135 from her checking account. If Jane now has a balance of $650 in her
account, how much did Jane have in the account before she took out any money?
Step 1: If x represents the variable in the word problem above, explain what the variable should
represent.
Step 2: Write an equation to model the situation.
Step 3: Solve the equation and write your answer in sentence form. Show your work.
Answers
Answer:
x = the amount of money Jane had before she took out any
x - 135 = 650
x = 785
Step-by-step explanation:
Let x = the amount of money Jane had before she took out any
Set up the equation
x - 135 = 650
To solve the equation, we must add 135 on both sides to cancel the -135 on the left side of the equal sign.
x - 135 = 650
x = 785
I hope this helps and please mark me as brainliest!
2. a survey of 200 college graduates who have been working for at least three years found that 75 owned only mutual funds, 35 only stocks, and 90 owned both. a. what is the probability that an individual owns a stock
Answers
Using it's concept, it is found that there is a 0.625 = 62.5% probability that an individual owns a stock.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 200 graduates, 35 + 90 = 125 of them own stocks, hence:
p = 125/200 = 0.625.
There is a 0.625 = 62.5% probability that an individual owns a stock.
More can be learned about probabilities at https://brainly.com/question/14398287
what is the Median of the numbers 45, 40, 47, 50, 45, 49, 40, 46?
Answers
Answer: 45
Step-by-step explanation:
The Median is the Middle # in the set.
I hope this helps!
please answer these for me! Right answers only. Thanks
Answers
Answer:
For all of these triangles apply the formula;
A = BH x 1/2
Where 'B' represents the base, 'H' stands for the height, and 1/2 just means to divide the product of the two lengths (base x height) by 2.
1.
Base = 9.1
Height = 31.2
Plug into formula:
A = BH x 1/2
A = 9.1(31.2) x 1/2
A = 283.92 x 1/2
A = 283.92/2
A = 141.96 square centimetres.
2.
Base = 5
Height = 3 3/4 which can be considered 3.75
Plug into formula:
A = BH x 1/2
A = 5(3.75) x 1/2
A = 18.75 x 1/2
A = 18.75/2
A = 9.375 square kilometres.
3.
Base = 2.4
Height = 3.2
Plug into formula:
A = BH x 1/2
A = 2.4(3.2) x 1/2
A = 7.68 x 1/2
A = 7.68/2
A = 3.84 square inches.
4.
Base = 11
Height = 60
Plug into formula:
A = BH x 1/2
A = 11(60) x 1/2
A = 660 x 1/2
A = 660/2
A = 330 square millimetres.
5.
Base = 10
Height = 13 1/2 which can be considered 13.5
Plug into formula:
A = BH x 1/2
A = 10(13.5) x 1/2
A = 135 x 1/2
A = 135/2
A = 67.5 square feet.
Answer:
1. 141.96 cm²
2. 9⅜ km²
3. 3.84 in
4. 10.39mm
5. 66.67 ft
Step-by-step explanation:
Formula of Area of Triangle : ½ × base × height
1. = ½ × 9.1 × 31.2
= 9.1 × 15.6
= 141.96 cm²
2. = ½ × 3¾ × 5
= ½ × 15/4 × 5
= 15/8 × 5
= 75/8 = 9⅜ km²
3. = ½ × 3.2 × 2.4
= 3.84 in
4. = tan c = AB/BC
c = tan -¹ (AB/BC)
c = tan -¹ (60/11)
c = 79.61
A = 90 - 79.61 = 10.39mm
5. = ½ × 13⅓ × 10ft
= 66.666 ≈ 66.67 ft
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Look at attachment below please help
100 POINTS AND BRAINLYIEST
Answers
Answer:
x = 28 unitsy = 14 unitsStep-by-step explanation:
Given is 30 x 60 x 90 right triangle
The side ratios of this triangle is
y : 14√3 : x = 1 : √3 : 2Find the value of x and y using this ratio
y = 14√3/√3 = 14x = 2y = 2*14 = 28Let's find
sin60=14√3/x√3/2=14√3/xx=14×2x=28unitsAnd
tan60=14√3/y√3=14√3/yy=14unitsWhat is the absolute value of -|-4| ?
Answers
Answer:
- 4
Step-by-step explanation:
the absolute value function always give a positive result , that is
| - a | = | a | = a
then
- | - 4 | = - | 4 | = - 4
Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78. Her steps for finding the variance are shown below. Variance squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction Variance squared = StartFraction (9) squared minus (32) squared +
BACK
Answers
Answer:
The answer is 274
Step-by-step explanation:
Given;Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78.To Find;Variance:-Now,
Definition of Variance:
Variance is the value of the squared variation of the random variable from its mean value, in probability and statistics.So,
[tex] \frac{ {(87 - 78)}^{2} + ( {46 - 78)}^{2} + (90 - 78) {}^{2} + ({78 - 78)}^{2} + ( {89 - 78)}^{2} } {5} [/tex]
[tex]Var(X) \: = \frac{1370}{5} = 274 \\ [/tex]
Thus, The variance of the sequence is 274.
A mobile set after allowing a discount of 10% on its marked price, was sold at a gain of 20%,Had it been sold after allowing 20% discount,there would have been a profit Rs.350. Find the cost price and marked price of the mobile set.
Answers
Answer:
Let x be the cost price.
Let y be the marked price
Gain = 20%
Then , sale price = 120/100 * x = 1.2x
Now , sale price is after 10% discount from marked price.
Hence , marked price, y = 1.2x/90 * 100 =
y * 0.9 = x * 1.2
Now, with 20% discount, sale price = y * 80/100 = 0.8y
Now, profit = 0.8y — x
Now, 0.8y — x = 350
0.8 * x * 1.2/0.9 — x = 350
1.0667x — x = 350
Hence, x = 350/0.0667= Rs.5250
Hence marked price = (5250 + 350) * 100/80 = Rs.7000
Identify the graphed linear equation.
A: y=2x +2
B: y=2x +3
C: y=3x +2
D: y=3x +3
Answers
Answer:
B: y = 2x + 3
Step-by-step explanation:
The 2x is the slope, and the 3 is the y-intercept
The y-intercept is kinda like how far the slope is from zero, but it can only be applied to the y-axis.
The slope is... well... the slope-- like how steep it is. If a slope is 2/1, like in the graph, it will go higher 2 units every 1 unit across. Or, if the slope is 1/4: The slope will go 1 unit higher every 4 units
Tyger spends 25 minutes studying mathematics, 35 minutes studying science and 40 minutes studying history. What percentage of his time is spend studying science?
Answers
Answer:
35%
Step-by-step explanation:
First, we add :)
25 + 35 + 40 = 100
Now we divide :)
35/100 = 0.35 = 35%
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
30%
Step-by-step explanation:
You Do it
Write the statements of the following algebraic expressions!
A- a+1
B- q-9
C- 3y+7
D- x/3+9
E- 3x+10
Answers
Answer:
See below ↓↓↓↓↓
Step-by-step explanation:
A - the sum of a number 'a' and 1B - the difference between a number 'q' and 9C - 7 plus the product of a number 'y' and 3D - 9 plus the quotient of a number 'x' and 3E - 10 plus the product of a number 'x' and 3= 1 more than a number (a)
B- q-9= q less than 9
C- 3y+7= 3 times y added to 7
D- x/3+9= a number (x) divided by 3 more than 9
E- 3x+10= 3 times x added to 10
16+(5 to the 2nd power -7)divided by 3
Answers
answer:
11.3(repeating) or [tex]\frac{34}{3}[/tex]
explanation:
attached
--
if this helped, please consider giving brainliest !
The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is
true?
O x2 + x = 42
O x2 + 2x = 42
O x2 + x + 42 = 0
O x2 + 2x + 42 = 0
ark this and return
Answers
Answer:
x² + x = 42
Step-by-step explanation:
let x = a number
then x² is the square of the number
x² + x is the sum of the square of the number and the number.
x² + x = 42
Please help I will give brainliest.
Answers
Answer:
The weight, in pounds, of one bag of beans.
Step-by-step explanation:
Since we know that there are 15 bags of beans, we can eliminate the first option and anything about something other than th e beans. Also, we know that we are not given the information on how heavy the bag of beans are, so with process of elimination, the 3rd one is the answer.
I hope this helped!
It would be greatly appreciated if you marked this answer as brainliest!
Michael has $1,059.35 in his checking account. He is going to spend $466.43 on a new television, and he will spend the rest on speakers that cost $43.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$466.43 < $43.00x + $1,059.35
B.
$1,059.35 < $43.00x + $1,059.35
C.
$466.43 + $43.00 + x < $1,059.35
D.
$43.00x + $466.43 < $1,059.35
Answers
Answer:
D. $43.00x + $466.43 < $1,059.35
Step-by-step explanation:
He has $1,059.35.
The amount of speakers he buys is x.
Each speaker is $43.00, and he is buying one television, which is $466.43.
All of the speakers he buys and(+) the television must be less than $1,059.35 because that's all he has. It cannot be more, which is why the equation is $43.00x + $466.43 < $1,059.35.
Hope this helps!
Answer:
D
Step-by-step explanation:
its $43 each and he wants to buy more than one so that means thats x
that marks out C
so 43.00x +466.43 is less than 1,059.35
I really feel like one of them should have less than/greater than or equal to sign but without I think its D
What is the period of rotation of the wheel for which the height of a rider (in feet) above the ground after riding the wheel for t seconds dunce passing the farthest right position on the wheel given by h(t)=60+45 sin (30t)?
Answers
According to the given sine function, it is found that the period of rotation is of 0.21 seconds.
What is the period of a sine function?Suppose a sine function modeled by:
[tex]y = A\sin{[B(x + c)]}[/tex]
The period is given by:
[tex]P = \frac{2\pi}{B}[/tex].
In this problem, the function is:
h(t)=60+45 sin (30t).
The vertical shift and the amplitude do not interfer in the period, hence B = 30 and:
[tex]P = \frac{2\pi}{30} = 0.21[/tex]
The period of rotation is of 0.21 seconds.
More can be learned about the period of a sine function at https://brainly.com/question/16818112
What is 8 1/3 - 3 1/2?
Answers
Answer:
4 5/6
Step-by-step explanation:
Turn both 8 1/3 and 3 1/2 into improper fractions (just to make it less complicated).
8 1/3 = 25/3
3 1/2 = 7/2
Then, try and make the denominators the same by finding the LCD (least common denominator).
The least common denominator of 3 and 2 is 6. Multiply both the denominators (3 and 2) to get 6, multiply the numerator with it as well (I can't explain this part properly, but the fractions will somehow explain).
[tex]\frac{25*2}{3*2}[/tex] = [tex]\frac{50}{6}[/tex]
[tex]\frac{7*3}{2*3}[/tex] = [tex]\frac{21}{6}[/tex]
So, then subtract (50/6 - 21/6).
50/6 - 21/6
= 29/6 = 4 5/6
So, 8 1/3 - 3 1/2 is 4 5/6.
PLS HELP
it is the last question ignore the lesson and pg number ;)
Answers
Answer:
the last answer is -1 :))))))
The graph of the function is of the form
f(x) = a * sin(kc – c) + h.
Answers
Explain
There 0,3 on the graph
You use this formula
f(x)=asin(kx-c)+h
and the maximum and minimum value of this function
a+ h and -a+ h
So a=3 and h=0
So we have
We have; f(x)= 3sin(kx - c)
and we have from the graph;
f(O)=3
So
Sin(-c) =-1
Therefore C=. Pi/ 2 +2pi n
We have period of the function is pi
2pi/ k
k=2
So it will equal Pi
Do you have any doubts ?
Evaluate the expression when a=5 and b=28.b+(30)/(a)
Answers
Answer:
34
Step-by-step explanation:
Just substitute in the valuesThis would give 28 + 30/5 = 28 + 6 = 34A frog starts jumping from the middle of a circular pond.
The pond is 12 metres across, from one side to the other.
43
The frog always jumps half the distance left to the edge of the pond.
How far is the frog from the edge after 3 jumps?
Answers
Answer:
Step-by-step explanation:
Remark
You could do this simply by taking 3 jumps, without using a formula. That would work as well, but I think it is easier just to make 3 jumps.
Jump One
The frog starts out 6 meters from an edge. (He/she starts at the middle). The frog makes 1 jump.
He lands 3 meters (1/2 the distance) from the edge.
Jump Two
He jumps in such a way that he is 1/2 the distance from the edge. So far he is 3 meters away. His jump puts him 1 1/2 meters from the edge.
Jump Three
The frog makes one last jump. It is 1 1/2 meters from the edge. The third jump takes it 1/2 * 3/2 = 3/4 a meter away from the edge.
Answer: 3/4 of a meter from the edge.
Please help. this is beyond confusing. it’s stressing me out.
Answers
Answer:
D = 1120
Step-by-step explanation:
Given:
W = 70T = 4Substitute the values into the equation:
⇒ D = WT²
[tex]\text{D = WT}^{2} \ \text{can also be written as D = (W)(T)(T)}[/tex]
⇒ D = (W)(T)(T)
⇒ D = (70)(4)(4)
Simplify the RHS:
⇒ D = 280(4)
⇒ D = 1120
Expand and simplify (x+6)(x−11)
Answers
Answer:
x^2 - 5x - 66
Step-by-step explanation:
1. Distrubute the x to the x and -11 so you will get x^2 - 11x
2. Distrubute the 6 to x and -11 and you get 6x - 66
3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66
Convert equation to standard form
18) y+1=4/5(x-5)
Answers
Answer:
4x - 5y = 25
Step-by-step explanation:
Determine which postulate or theorem can be used to prove that ABC = DCB.
Answers
Answer:
I believe it is B
Step-by-step explanation:
it has somewhat some thing to do with the lines at BC it's had to put in words
The postulate or theorem can be used to prove that ΔABC ≅ ΔDCB is ASA.
The correct option is A.
What is Congruency?Congruency is a concept in geometry that refers to the equality of shape and size between two or more geometric figures. When two figures are congruent, it means that they have exactly the same shape and size, and their corresponding sides and angles are equal.
In ΔABC and ΔDCB
<BAC= <BDC (given)
<BCA= <DBC(given)
CB = CB (common)
So, by ASA criteria ΔABC ≅ ΔDCB.
Learn more about congruency here:
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