Answer:
k = -9
Step-by-step explanation:
f(x) = 2x²+kx-20
From remainder theorem,
x = 10 and f(10) = 90
f(10) = 90
Subsitute the value of x into the expression above.
f(10) = 2(10²)+10k-20 = 90
200+10k-20 = 90
Solve for k by collecting like terms
10 k = 90+20-200
10k = 110-200
10k = -90
k = -90/10
k = -9.
Hence the value of the constant is -9
What is the expression and value of "six less than nine times the sum of a number and eight" when n = 5? 9 (n + 8) minus 6; when n = 5, the value is 111. 6 minus 9 (n + 8); when n = 5, the value is 111. 9 (n) + 8 minus 6; when n = 5, the value is 47. 6 minus 9 (n) + 8; when n = 5, the value is 47.
Answer:
Answer:
The expression is 9(n + 8) - 6, the value is 111 ⇒ answer A plz mark me brainlest
Step-by-step explanation:
* Lets explain how to solve the problem
- We have a statement:
" six less than nine times the sum of a number and eight"
- When we solve we will start by the last part
- The last part is the sum of a number and 8
- Assume that the number is n
∵ The sum is the answer of adding
∴ The sum of a number and eight is ⇒ n + 8
- Nine times the sum
∵ The sum is n + 8
∵ Nine times means multiply the sum by 9
∴ Nine times the sum is ⇒ 9(n + 8)
- Six less than nine times the sum
∵ Nine times the sum is 9(n + 8)
∵ Six less than means subtract 6 from nine times the sum
∴ Six less than nine times the sum is ⇒ 9(n + 9) - 6
* The expression is 9(n + 8) - 6
- Lets evaluate the expression when n = 5
∵ 9(n + 8) - 6
∵ n = 5
∴ The value = 9(5 + 8) - 6
∴ The value = 9(13) - 6
∴ The value = 117 - 6
∴ The value = 111
* When n = 5 the value of the expression is 111
Step-by-step explanation:
Answer:
The expression is 9(n + 8) - 6, the value is 111 ⇒ answer A
Step-by-step explanation:
* Lets explain how to solve the problem
- We have a statement:
" six less than nine times the sum of a number and eight"
- When we solve we will start by the last part
- The last part is the sum of a number and 8
- Assume that the number is n
∵ The sum is the answer of adding
∴ The sum of a number and eight is ⇒ n + 8
- Nine times the sum
∵ The sum is n + 8
∵ Nine times means multiply the sum by 9
∴ Nine times the sum is ⇒ 9(n + 8)
- Six less than nine times the sum
∵ Nine times the sum is 9(n + 8)
∵ Six less than means subtract 6 from nine times the sum
∴ Six less than nine times the sum is ⇒ 9(n + 9) - 6
* The expression is 9(n + 8) - 6
- Lets evaluate the expression when n = 5
∵ 9(n + 8) - 6
∵ n = 5
∴ The value = 9(5 + 8) - 6
∴ The value = 9(13) - 6
∴ The value = 117 - 6
∴ The value = 111
* When n = 5 the value of the expression is 111
Answer:
it A
Step-by-step explanation:
1. What is the decimal equivalent of 3/
9? 0.2 0.3 0.4 0.5
QUESTION 6 / 10
Which of the following is not a source of income?
A. Your monthly student loan payment.
B. The stipend you receive for doing an internship.
C. Your annual salary for doing your job.
D. The wages you receive after a work shift.
Answer:
b. The stipend you receive.
Step-by-step explanation:
It would say paid intern if they were paid.
The temperature was -13 and then rose 9. What is the temperature now?
Answer:
-4
Step-by-step explanation:
bro thats 6th grade math lol and its SO easy just need to try
100 POINTS! PLEASE HELP!!
Hey y'all! I haven't gotten a correct answer/explanation for this question and I struggling so if someone could help, I'd really appreciate it! :)
Suppose RT= 16 in. and ST= 4 in. Is it possible to find the length of TU? If so, show how to find the length. If not, explain why not.
Step-by-step explanation:
yes it possible to find the length of tu
Drag the symbol to complete the solution to this inequality.
Answer:
b po
i hope makatulong eto
The base of a 14-foot ladder is 2 feet from a building. If the ladder reaches the flat roof , how tall is the building
Answer:
Step-by-step explanation:
The height of the building is 8 rad 3
Approximately 13.9 ft
happy april fools day you nerds now take my points
Answer:
WOW THANK YOU SO MUCH!
Step-by-step explanation:
I'm more of a dog lover and not a nerd, but hey I'll take what I can get!
If your like dogs, can you guess what kind of dog this is?
(yes they are all the same breed just different coat colors)
Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]
Answer:
θ = [tex]\frac{\pi }{3}[/tex] (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = [tex]\frac{1}{2}[/tex] , so
θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )
Answer:
[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex][tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]
[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]Carlos has 2.6 meters of wire. He has 3 projects for which he needs 0.9 meters each. Does carlos have enough wires?
Answer: Carlos does not have enough wires by 0.1 meters
Step-by-step explanation:
To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.
= 0.9 + 0.9 + 0.9
= 2.7 meters
Carlos has 2.6 meters of wire but needs 2.7 meters.
Carlos therefore, does not have enough wires.
Please help!!!!!
I will mark you brainliest for the correct answer.
I click a answer choice by accident
Answer:
How much brain we talkin?
Step-by-step explanation:
???
[AB] is a diameter of center C(O, 3cm). M is a point on (C) such that MA=MB. D is the symmetric of A with respect to M.
What is the nature of triangle AMB? Justify.
Answer: I dont know AZ
Leslie invest 42,000 into an account that pays 7%compounded weekly. How much is the account worth after 5 years?
Answer:
$41,998.58
Step-by-step explanation:
The computation of the account worth after 5 years is shown below:
As we know that
Future value = Present value ×(1+ rate of interest)^number of years
= 42,000 × (1 + 0.07 ÷ 52)^5× 52
= 42,000 × (1 + 0.0013461)^260
= $41,998.58
Find the values of x and y that make these triangles congruent by the HL Theorem
Answer:
number 3
because because because because because because because because because
Step-by-step explanation:
because because because because
Together Mike and Sara ran 42 laps on the
track. Sara ran twice as many laps as
Mike did. Write a system of equations and
solve it to see how many laps they each ran.
Answer:
i dont know the system of equations since i only calculated it until i got the right answer but sara did 28 laps and mike did 14
I WILL GIVE BRAINLIEST
Which frequency table shows the test times in minutes) for a reading test?
81, 63, 61, 58, 72, 70, 79, 68, 82, 64, 54, 82, 72, 63, 64, 76, 57, 65, 73, 58
Chloe purchased a sweater that cost $24 and a shirt cost 5-8 times as much as the sweater what amount of change did she receive from clerk $50
Answer:
The answer is "$11".
Step-by-step explanation:
Chloe bought a pull, which costs [tex]\$24[/tex], and a shirt which costs [tex]\frac{5}{8}[/tex] times as much as the pullout.
Sweater cost = [tex]\$24[/tex]
Shirt cost [tex]= \frac{5}{8} \times 24=15[/tex]
Therefore, total shirt and sweater costs[tex]= 24+15=39[/tex].
Then she gave [tex]\$ 50[/tex] to her officer.
Thus, she got changes [tex]= 50-39=11[/tex]
therefore, Chloe received a change of 11 dollars if she gave her employer [tex]\$50[/tex].
Solve for x
Help me please and thxxx
The number of dimes is 3 more than twice the number if nickels.The total value of the coins is $7.05.How many of each type of coin did she find?
Answer:wait can you umm rewrite this i dont get it
Step-by-step explanation:
Ab and cd intersects at e, aec=5x+12 and deb=8x-3
Answer:
x = 5
Step-by-step explanation:
Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.
8x - 3 = 5x + 12
3x = 15
The number of views in a cat and a dog after they uploaded are represented by the following
Answer:
i see nothin
Step-by-step explanation:
5.
If all three angles are exactly the same measure, how big is each angle?
Hint: x + x + x = 180
I a) 180 degrees
I c) 50 degrees
b) 90 degrees
d) 60 degrees
Answer fast for brainliest
Answer:
D 60 degrees
Step-by-step explanation:
D
3x = 180
x = 180 / 3
x = 60
Hope that helps!
Analyze: 30 + 11 when c=4
Answer:
23
Step-by-step explanation:
3c + 11
3(4) + 11
12 + 11
23
Find the apothem or height of the triangle. Round your answer at the end to the nearest tenth.
Answer:22.4
Step-by-step explanation:
Yea I'm bad at explaining
PLSSSSSSSS HELPPPPPP ASAPPPPP
Which expressions are equivalent to this exponential expression?
6-10
6-4
06-6
0 66
0
1
0
O
1
36
Answer:
6*6=36
Step-by-step explanation:
6*6. 6 with exponent of 2=36
what is the solution to the inequality below? w+4≤ -1
Answer:
w≤ -5
Step-by-step explanation:
hello :
w+4≤ -1
w+4-4≤ -1-7
w≤ -5
A survey was conducted on 800 students regarding the number of automobiles in their household. The population mean is 2.7 automobiles with a standard deviation of 0.7.
Which statement is true?
A.
There is a 95% certainty that the sample mean will fall within the interval 2.68 to 2.72.
B.
There is a 95% certainty that the sample mean will fall within the interval 2.67 to 2.73.
C.
There is a 95% certainty that the sample mean will fall within the interval 2.62 to 2.77.
D.
There is a 95% certainty that the sample mean will fall within the interval 2.65 to 2.75.
In a random sample, 3 of 400 computer chips are defective. Based on
the sample, how many chips out of 100,000 would you expect to be
defective?
Answer:
750 of 100,000 chips would be expected to be defective.
Step-by-step explanation:
(3/400) and (?/100,000)
100,000 ÷ 400 = 250.
Multiply 250 by 3 to find the number of defective chips.
250 x 3 = 750.
In a lab experiment, 490 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 29 hours. How many bacteria
would there be after 8 hours, to the nearest whole number?
Answer:
593
Step-by-step explanation:
[tex]490(2)^8^/^2^9 = 593.25[/tex]
593.25 ≈ 593
The number of bacteria after 8 hours is 593.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Number of bacteria placed in petri dish = 490
Time required for bacteria to double = 29 hours
Number of bacteria after 8 hours is
⇒ [tex]490(2)^{\frac{8}{29} }[/tex]
⇒ [tex]490(2)^{0.2758}[/tex]
⇒ [tex]490(1.2107)[/tex]
⇒ [tex]593.25149[/tex]
⇒ [tex]593[/tex]
Hence we can conclude that the number of bacteria after 8 hours is 593.
Learn more about word problems here
brainly.com/question/20594903
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