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
Micki bought 4 gallons of apple cider. How many quarts did she buy?
Answer:
16
Step-by-step explanation:
There are four quarts in a gallon. 4x4=16.
Answer:
4 quarts per gallon
4 quarts times 4 gallons= 16 quarts
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].
License plates in the tiny country of Venn follow a unique pattern. The first character is one of 41 Egyptian hieroglyphs, the second is one of 39 emojis, and the third character is one of 10 polygons. How many 3 character license plates are available to the people of Venn?
Answer:
12710 license plates
Step-by-step explanation:
Given that :
First character = one of 41 different hieroglyphs
Second character = one of 31 emojis
Third character = one of 10 polygons
A license plate consists of 3 characters
Number of 3-character license plates available :
Number of hieroglyphs * Number of emojis * number of polygons
41 * 31 * 10 = 12710 license plates.
slope of 1/2 and y-intercept is -5.
Answer:
Y= 1/2x-5
Step-by-step explanation:
32 oz = _______ lb
Please answer the question
Answer:
2 lb
Step-by-step explanation:
1lb = 16 pounds.
If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (revolutions per minute)? [There are 63,360 inches in 1 mile) Round your final answer to 2 decimal places .
Answer:
The tires are spinning at 660.49 revolutions per minute.
Step-by-step explanation:
The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:
[tex] \omega = \frac{v}{r} [/tex]
Where:
r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches
[tex]\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm[/tex]
Therefore, the tires are spinning at 660.49 revolutions per minute.
I hope it helps you!
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
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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
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.
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
plz help me I only have 5 minutes left winner gets brainliest
In what year did the Apartheid Laws in South Africa end?
1990
1972
1994
1958
Answer:1994.
Step-by-step explanation:I need brainliest I helped with your other questions in comments pls
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
[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
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.
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
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.
Analyze: 30 + 11 when c=4
Answer:
23
Step-by-step explanation:
3c + 11
3(4) + 11
12 + 11
23
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
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]Plz, answer this question plz!
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
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
What is the value of n in the equation below?
StartFraction a Superscript n Over a cubed EndFraction = a Superscript 9
Answer:
ok ok it it 12
Step-by-step explanation:
stay safe 2021
Answer:
12
Step-by-step explanation:
Edge
1. What is the decimal equivalent of 3/
9? 0.2 0.3 0.4 0.5
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.
Find the total surface area of this cone.
Leave your answer in terms of .
4ft
3ft
SA = [?] ft2
Enter
Total surface area is: 21 ft²
Lateral area is: 12π ft²
The total surface area of this cone is 21π square feet.
What is the total surface area of the cone?The total surface area of the cone is given by the following formula;
[tex]\rm Surface \ area=\pi r(r+l)[/tex]
Where h denotes the height of the cone and r is the radius and l is the slant height.
The radius of the cone = 3
The height of the cone = 4
Substitute all the values in the formula
[tex]\rm Surface \ area=\pi r(r+l)\\\\\rm Surface \ area=\pi 3(4+3)\\\\\rm Surface \ area=3\pi \times 7\\\\\rm Surface \ area=21\pi[/tex]
Hence, the total surface area of this cone is 21π square feet.
Learn more about the surface area here;
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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)
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:
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