Type the correct answer in each box. Use numerals instead of words.
Simplify the following polynomial expression.
(5x2 + 133 – 4) - (17:2 + 74 - 19) + (50 – 7)(3x + 1)
1 2 -
+
Answers
Answer:
14
Step-by-step explanation:
The expression for the polynomial is A = 3x² - 10x + 8
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = ( 5x² + 13x - 4 ) - ( 17x² + 7x - 19 ) + ( 5x - 7 ) ( 3x + 1 ) = ax² - bx + c
Let's simplify the left-hand side of the equation using the distributive property and combining like terms:
A = (5x² + 13x - 4) - (17x² + 7x - 19) + (5x - 7)(3x + 1)
A = 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² - 16x - 7
A = 3x² - 10x + 8
Now we have:
a = 3, b = -10, and c = 8
Hence , the final equation is A = 3x² - 10x + 8
To learn more about polynomials click :
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Step-by-step explanation:
henry earns 42 $ for babysitting for 7 hours . If henry charges at the same rate, how many hours will it take him to earn 66$?
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Answer:
11 hours
Step-by-step explanation:
Val measures the diameter of a ball as 12 inches. How many cubic inches of air does this ball hold
Answers
Answer:
This ball holds 904.78 cubic inches of air.
Step-by-step explanation:
Volume of the ball:
A ball has a spherical format. The volume of a sphere is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In which r is the radius, which is half the diameter.
Val measures the diameter of a ball as 12 inches.
This means that [tex]d = \frac{12}{2} = 6[/tex]
How many cubic inches of air does this ball hold?
[tex]V = \frac{4\pi r^3}{3}[/tex]
[tex]V = \frac{4\pi*6^3}{3}[/tex]
[tex]V = 904.78[/tex]
This ball holds 904.78 cubic inches of air.
Convert 40% as a fraction and multiply the results by 25
Answers
40% = 40/100 = 2/5
Multiply the results by 25 :–2/5×25 = 10....
(✯ᴗ✯)Hence , the answer is 10...(◍•ᴗ•◍)=0.4
0.4 x 25
=10
jill calculates it would take 95 minutes to run 7 miles but it actually take 80 minutes what is percent of error
Answers
Answer:
15.8% = 16%
Step-by-step explanation:
The change (expected result - actual result):
95-80 = 15
Now we divide it by the expected 95 minutes and multiply by 100 to get a percentage.
15/95*100 = 15.8% = 16%
Rewrite each fraction with a denominator of 24 2/3 and 5/8
Answers
Answer:
2/3 = 16/24
5/8 = 15/24
Step-by-step explanation:
2/3= 16/24
5/8= 15/24
because if you multiply across [tex]\frac{2}{3}[/tex] by [tex]\frac{8}{8}[/tex] equal [tex]\frac{16}{24}[/tex]
and if you multiply across [tex]\frac{5}{8}[/tex] by [tex]\frac{3}{3}[/tex] equal [tex]\frac{14}{24}[/tex]
A study has been done to determine to see if the level of education determines how often people move between different states in America. If a person from the survey is randomly selected , what is the probability that they lived in 2 or more states and that they have a college degree? P( 2 state or more U Degree )
0.655
0.111
0.310
0.500
Answers
Solution :
P(2 states or more | college degree)
[tex]$=\frac{\text{P( 2 states or more and college degree)}}{\text{P(college degree)}}$[/tex]
Total number of people = 58
The number of people who lived in two states or more than two states and also have a college degree = 18
Therefore,
[tex]$\text{P(2 states or more states and college degree)} = \frac{18}{58}$[/tex]
The number of people who have a college degree = 20
So, [tex]$\text{P(college degree)} = \frac{20}{58}$[/tex]
Thus,
[tex]$\text{P(2 states or more/college degree)}=\frac{\frac{18}{58}}{\frac{20}{58}}$[/tex]
[tex]$=\frac{18}{20}$[/tex]
= 0.900
Anything for this one?
Answers
Answer:
A. -2
Step-by-step explanation:
Hope this helps
Answer:
A)
Step-by-step explanation:
[tex]x+62=60[/tex]
[tex]-2+62=60[/tex]
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Answers
A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
Question 1 options:
A)
Can't be determined
B)
Obtuse
C)
Right
D)
Acute
Answers
9514 1404 393
Answer:
B) obtuse
Step-by-step explanation:
I like to answer these questions using a "form factor" (f) computed as ...
f = a² + b² - c² . . . . . . . where a, b, c are side lengths with c the longest
Then ...
f = 9² +12² -17² = 81 +144 -289 = -64
The negative value indicates an obtuse triangle (largest angle more than 90°).
__
f = 0 indicates a right triangle; f > 0 indicates an acute triangle.
_____
Additional comments
You may recognize that the two short sides have the ratio 9:12 = 3:4. You know a (3, 4, 5) triangle is a right triangle, so this triangle would be a right triangle if the longest side were 15. Since it is 17, you know the largest angle is more than 90°.
This "form factor" is related to the angle computation you would do to find the measure of the largest angle using the law of cosines. That angle is ...
C = arccos(f/(2ab)) = arccos(-64/216) ≈ 107.2°
Since the factor (2ab) is always positive, the sign of "f" tells you the sign of the cosine of the angle. It is negative for angles greater than 90°.
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
F = 9 over 5C + 32
Which of the following formulas correctly solves for C?
C = 5F − 32 over 9
C = 5 F over 9 − 32
C = 9 over 5(F − 32)
C = 5 over 9(F − 32)
Answers
Answer: Last one is right C = 5 / 9 (F-32)
Step-by-step explanation: Solving C from equation F = (9/5)C + 32 :
1. multiply by 5 you get 5F = 9C + 160 and 5(F-32) = 9C
2. divide by 9 you get (5/9) (F-32) = C
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B- y=4
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D- x=1
Answers
Answer:
Your correct answer is C. y = 1
Hoped this helped!
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Answer: Im not sure about a, but maybe d
Step-by-step explanation:
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Answer:
1. 7
2. 35
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5. 10
Step-by-step explanation:
x=35•2/7
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Answers
Answer:
870,406
Step-by-step explanation:
870,046
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Answers
Answer:
31.4
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
This famous photograph is titled Raising the Flag on Iwo Jima. It shows six soldiers raising the flag after the Battle of Iwo Jima on Mount Suribachi during the final parts of the war in the Pacific.
1/2(n+4)=6 wat is n ?
Answers
Answer:
the correct answer is 8.
Answer:
n = 8
Step-by-step explanation:
1/2(n + 4) = 6
1/2n + 2 = 6
1/2n (+ 2 - 2) = 6 - 2
1/2n = 4
(2/1)1/2n = 4(2)
n = 8
CHECK WORK:
1/2(8 + 4) = 6
1/2(12) = 6
6 = 6
Find the Surface Area of this Prism?
Answers
Answer:
114ft
Step-by-step explanation:
3 times 3=9
9times 2=18
8 times 3=24
24 times 2=48
8 times 3 = 24
24 times 2 =48
48+48+18=114
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Answer:
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Answer:
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Step-by-step explanation:
Answer:
D) -2.6, -2.15,0.58,0.8, 5.1
Step-by-step explanation:
What is the surface area of the rectangular prism?
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Answer: the answer is 2/8/2
Step-by-step explanation:
Is 3.24538 rational
Answers
Answer:
yes
Step-by-step explanation:
3.24538 is rational
Suppose you want to start saving for retirement. You decide to continuously invest $5000 of your income each year in a risk-free investment with a 7% yearly interest rate compounded continuously. If y| is the value of the investment, and t| is in years. dy/dt =| Your answer should be interms of y|. You start investing at t = 0| so y(0) = 0. y(t) =| What is the size of your investment after 40 years. y(40) =|
Answers
Answer:
The size of the investment after 40 years is of $74,872.
Step-by-step explanation:
Continuous compounding:
The amount of money, in continuous compounding, after t years, is given by:
[tex]y(t) = y(0)(1+r)^t[/tex]
In which y(0) is the initial investment and r is the interest rate, as a decimal.
You decide to continuously invest $5000 of your income each year in a risk-free investment with a 7% yearly interest rate compounded continuously.
This means that [tex]y(0) = 5000, r = 0.07[/tex]. So
[tex]y(t) = y(0)(1+r)^t[/tex]
[tex]y(t) = 5000(1+0.07)^t[/tex]
[tex]y(t) = 5000(1.07)^t[/tex]
What is the size of your investment after 40 years?
This is y(40), that is, y when t = 40. So
[tex]y(t) = 5000(1.07)^t[/tex]
[tex]y(40) = 5000(1.07)^{40}[/tex]
[tex]y(40) = 74872[/tex]
The size of the investment after 40 years is of $74,872.
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Answers
Answer:
510
Step-by-step explanation:
17% of 3000 would be 17 in 30 hundreds, think about it that way
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tax was 8%. How much did he pay in sales tax?
Answers
Answer:
Mr. Jones paid $192 in sales tax.
Step-by-step explanation:
8 x 2400 = 19200
19200/100 = 192
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find cos(a+a).
Answers
Answer:
we have
Cos (a+b)=Cos aCosb-SinaSinb
for
Cos (a+a)=Cos aCosa-SinaSina=Cos²a-Sin²a
is a required answer.
Find the Area of the shaded region. Round your answer to the nearest tenth.
Answers
Answer:
610m^2
Step-by-step explanation:
first we find the total area:
25*42=1050
then, we find the area of the white rectangle:
20*22=440
to find the area of the shaded region (which i'm assuming is the blue part), we can subtract the total area by the area of the white rectangle:
1050-440=610
so, the total area is 610m^2.