The area of a rectangle is:
Area = length x width
The area given is:
\(2x^2-288\)We can factorize this expression and find the length and width. Shown below is the process:
\(\begin{gathered} 2x^2-288 \\ =2(x^2-144) \\ =2(x+12)(x-12) \\ =(2(x)+2(12))(x-12) \\ =(2x+24)(x-12) \end{gathered}\)So,
Length would be "2x + 24"
Width would be "x - 12"
From the options, our answer is :
BILL GIVE BRAINLEST, please no links and explain please:)
Answer:
180
Step-by-step explanation:
I need to draw a picture to explain.
can someone teach me how this goes? geometry , inscribed angles but circles
Answer:
60
Step-by-step explanation:
So basically all you need to know for this one is that when there is an inscribed angle, the angle measure is 1/2 of the measure of the arc for that angle.
That might sound confusing, but an example from the picture is that angle ABC will be half of arc AC. This means that angle ABC is 1/2 of 120 = 60 degrees.
The answer is 60 degrees.
work out (7×10^5) ÷ (2×10^2)
Answer:
3500 is the correct answer .Step-by-step explanation:
( 7×10^5) ÷ (2×10^2)= (7 × 100000) ÷ ( 2×100)= 700000 ÷ 200= 3500Mark BRAINLIEST
Thank you ☺️☺️
4x-(10-x) =15/2, what does x equal?
The value of x is for the given equation is 7/2.
What is an algebraic expression, exactly?An algebraic expression (or variable expression) is a term that has been combined with addition, subtraction, multiplication, and division operations.
To simplify an algebraic expression, we simply combine similar terms. As a result, variables with similar characteristics will be combined. The same abilities will now be created by combining similar variables.
The given equation is 4x-(10-x) =15/2.
4x - 10 + x + 15/2
5x - 10 = 15/2
Dividing both sides by 5 to obtain:
x - 2 = 3/2
Multiply both sides by 2 to get:
2x - 4 = 3
2x = 3 + 4
x = 7/2
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Find the standard deviation of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. μ = 64 and o = 12; n = 9
The standard deviation of the data sample is 2.55.
What is the standard deviation of the data sample?The standard deviation of the data sample is calculated by applying the following formula;
S.D = √ (x - μ)²/(n - 1)
where;
μ is the mean of the distributionx is the sample datan is the number of sample dataThe given parameters;
mean, μ = 64
x, = 12
number of samples = 9
The standard deviation of the data sample is calculated as;
S.D = √ (12 - 64)²/(9 - 1)
S.D = 2.55
Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.
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Hey guys please help me with my quiz its about finding the values of letters in angles!!
The value of x is given as follows:
x = 24.
The measure of angle DFE is given as follows:
<DFE = 62º.
How to obtain the measures?To obtain the measures, we consider that the sum of the measures of the internal angles of a triangle is of 180º.
The internal angle measures for this problem are given as follows:
180 - (5x - 14) -> each angle is supplementary with it's external.44º.3x - 10.Hence the value of x is obtained as follows:
180 - 5x + 14 + 44 + 3x - 10 = 180
228 - 2x = 180
2x = 48
x = 24.
The measure of angle DFE is obtained as follows:
<DFE = 3(24) - 10
<DFE = 72 - 10
<DFE = 62º.
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Three-quarters of a number is 15 workout four-fifths of the number
Answer:
48
Step-by-step explanation:
15 is 3/4 of 60. 48 is 4/5 of 60. ?/4 = 15.......
Answer:
\( \frac{3}{4} x = 15 \: \: \: \: \: \\ x = 15 \times \frac{4}{3 } \\ x = 5 \times 4 \\ x = 20 \\ \frac{4}{5} \times 20 = 16\)
Step-by-step explanation:
hope it helps.
I just need to know the answer for question 10
One of the arrow is on 4, it is closed and moving towards the right hand side, hence it is x ≥ 4
The other arrow is on -2, it is also closed but moving towards the left-hand side, hence it is x≤ -2
Therefore, x≤ -2 or x ≥ 4
The skate Sports Store offers 4-wheel and 5-wheel inline skates. On display in the store are the left skates for 17 different styles of skates. If there are 74 wheels in the display, how many of the displayed skates have 5 wheels
There are 6 skates in store with 5 wheels.
What is Equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Here, Let the number of 4 wheel skates in display be x
and the number of 5 wheel skates in display be y
Total number of skates = 17
Total number of wheel = 74
Now, according to question
x + y = 17 ................(i)
4x + 5y = 74 ..................(ii)
From equation (i), we get
x = 17 - y ................(iii)
put the value of y in equation (ii), we get
4(17 - y) + 5y = 74
68 - 4y + 5y = 74
y + 68 = 74
y = 6
Put the value of y in equation (iii), we get
x = 17 - 6
x = 11
Thus, there are 6 skates in store with 5 wheels.
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36=12d is a proportional or Non-proportional? Explain
Answer:
non-proportional
Step-by-step explanation:
This equation is non-proportional. A proportional equation contains 2 variables where one is proportional to the other. An example would be:
y = 5x
Y is proportional to the value of X at a rate of 5. 5 is the "constant of variation", or the "constant of proportionality"
36 = 12d is not proportional because there is only one variable. That variable can be solved for, giving only one solution.
proportional:
"corresponding in size, degree or intensity"
"having the same or a constant ratio"
STATISTICS HELP PLEASE #3
Answer: the answer is cant see need to zoom the problem in more
Step-by-step explanation:
I need some help please
Answer:
140 will be his weight of Antony's weight
Solve for the values of x for each of the following exponential equations and inequalities.
1. 82− = 2
3. 5 = 25−2
4. 3+2 ≥ 27
5. 43 = 8−1
Answer:
8
2−x
=2
8^{2-x}=8^{1/3}8
2−x
=8
1/3
2-x=\dfrac{1}{3}2−x=
3
1
x=\dfrac{5}{3}x=
3
5
2.
(\dfrac{1}{2})^{x}<\dfrac{1}{8}(
2
1
)
x
<
8
1
(\dfrac{1}{2})^{x}<(\dfrac{1}{2})^{3}(
2
1
)
x
<(
2
1
)
3
x>3x>3
3.
5^x=25^{x-2}5
x
=25
x−2
25^{x/2}=25^{x-2}25
x/2
=25
x−2
\dfrac{x}{2}=x-2
2
x
=x−2
\dfrac{x}{2}=2
2
x
=2
x=4x=4
4.
3^{x+2}\geq273
x+2
≥27
3^{x+2}\geq3^33
x+2
≥3
3
x+2\geq3x+2≥3
x\geq1x≥1
5.
4^{3x}=8^{x-1}4
3x
=8
x−1
2^{6x}=2^{3x-3}2
6x
=2
3x−3
6x=3x-36x=3x−3
3x=-33x=−3
x=-1x=−1
Step-by-step explanation:
Please help me understand this handwriting can some pls re write and label I DONT UNDERSTAND CURSIVE :(
Answer:
7:01
29%
Doyan of low
Shiman 1-R-1
Flous 1-1 Gambe 1-4-20
12 dual purpose
Martins 1-2-3 Flores 1-2, 1-3, 14
Gamba 2-1-5
Custand 1-4, 2-1
Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI
Flores 1-30
Munting 1-2-4
Gumbon 1-1-3 CDP 1-1-3
Status oppose ending 742 Montoya 1-1, 1-2, 1-3
federal courts challenge
Gamboa 1-R-2 Custom 1-7
CDP 1-L-36, 1-2-4
de Vogue 1-2-1, 2-1-5, 2-L-6
7 expulsions at boders
root causes textul Amer.
Cop 1-L-34, 1-1-2, 1-R-4
Border Report 1-2
CDP 1-R-2, 1-R-3 Montoya 1-8
Custarda 2-2
=
CLOSE
Hopes this helps :)
A piece of lumber 2.8 meters long weighs 24.5 kilograms. A piece 0.8 meter long is cut from
the 2.8-meter length. Determine the weight of the 0.8-meter piece.
The weight of the 0.8-meter piece is 19.6 kilograms.
We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.
Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:
W₁/2.8m = 24.5kg/1m
Solving for W₁, we get:
W₁ = (24.5kg/1m) x 2.8m = 68.6kg
Now we can use the same ratio to find W₂:
W₂/0.8m = 24.5kg/1m
Solving for W₂, we get:
W₂ = (24.5kg/1m) x 0.8m = 19.6kg
Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.
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Find three rational numbers between (-6) and (-7)
Answer: Option (b) 21:18, option(c) 42:36, option(d) 63:54, option(e) 84:62 are equivalent ratios of 7:6
Step-by-step explanation: Hope this helped
Answer: -6 1/4, -6 9/10, -6 11/20
Step-by-step explanation: You find any number in decimals between them, then you covert into fractions if needed.
Please help, brainliest for correct answer
Answer:
800
Step-by-step explanation:
3/4*3.14*(14/2)^3 = 807.77
Answer:
1435.99 rounded.
Step-by-step explanation:
Remark
Just as a note, you would be better off using 22/7 for pi
Formula
V = 4/3 * pi * r^3
Givens
Pi = 3.14
d = 14 units
Solution
r = d / 2
r = 14/2
r = 7
Volume = 4/3 * 3.14 * 7^3
Volume = 1.3333 * 3.14 * 7^3
Volume = 1.3333 * 3.14 * 343
Volume = 1435.99 rounded to the nearest 1/100 th.
Elroy bought a $4210 custom video gam e/ virtual sound system on a special no-interest plan. He made
The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.
How is the last payment determined?The last payment amount is the result of the mathematical operations of subtraction and multiplication.
The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.
Using multiplication, the monthly payments are determined to be $3,400 for 17 months. This is subtracted from the remaining balance to obtain the last payment amount.
The cost of a custom video game/virtual sound system = $4,210
Down payment = $100
The remaining balance for monthly payment = $4,110 ($4,210 - $100)
Payment period = 18 months (1¹/₂ years)
Monthly payments = $200
Payment for the first 17 months = $3,400 (17 x 200)
Last payment = $710 ($4,110 - $3,400)
Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.
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Question Completion:He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?
HELP PLEASE QUICKLY!!!!!!!!
The measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.
From the given triangle ABC,
∠A+∠B+∠C=180° (Angle sum property of a triangle)
∠A+32°+85°=180°
∠A+117°=180°
∠A=180°-117°
∠A=63°
We know that, the formula for sine rule is sinA/a=sinB/b=sinC/c
Here, sin63°/a = sin32°/b = sin85°/42
sin63°/a = sin32°/b = 0.9961/42
sin32°/b = 0.9961/42 and sin63°/a = 0.9961/42
0.5299/b = 0.9961/42
0.9961b=22.2558
b=22.2558/0.9961
b=22.34 feet
sin63°/a = 0.9961/42
0.8910/a = 0.9961/42
0.9961a=37.422
a=37.422/0.9961
a=37.57 feet
Therefore, the measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.
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I am STRESSED. Please answer the following questions below that are HIGHLIGHTED.
Answer:
1.5 tons and 256 pounds OR 1 ton and 1256 pounds
Step-by-step explanation:
Find the length of the right triangle’s other leg. Round to the nearest tenth.
leg = 10 ft
hypotenuse = 12 ft
Answer: 17.32
Step-by-step explanation:
11. Which one of the following is unique? b. mode a. Mean c. Median d. A and B
Among the mean, mode, and median, the unique one is the b. mode.
What is the mode?The mode is the data value that occurs many times more than other data values.
Unlike the mean that shows the average value of all the data values, the mode occurs more. While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.
Similarly, the median can be computed when two values occur as the middle values.
Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.
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can someone please help me
50 points
Answer:.
Step-by-step explanation im not sure
Answer:
Step-by-step explanation:
47.) sin20 = 6/b
b = 6(sin20) = 17.5
c = √6²+17.5² = 18.5
48.) tan61 = y/18
y = 18(tan61) = 32.5
z = √18²+32.5² = 37.1
49.) r = √25²+23² = 34
50). d = √30²+7² = 30.8
51.) sin71 = j/19
j = 19(sin71) = 18
k = √19²-18² = 6.2
52.) y = √4²-1² = √7 = 2.6
53.) sin49 = f/26
f = 26(sin49) = 19.6
h = √26²-19.6² = 17
54.) t = √7²+4² = 8.1
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
At the taco truck an order of 1 taco and 3 quesadillas cost $ 26.50. An order if 3 tacos and 1 quesadilla cost $19.50. for 5 tacos and 1 quesadilla. What is the cost of one taco and the cost of one quesadilla?
Answer:
The cost of 1 taco = $4
The cost of 1 quesadilla = $7.50
Step-by-step explanation:
Let the cost of tacos be x and the cost of quesadillas be y.
Given condition:x + 3y = 26.50 ------------------(1)
3x + y = 19.50 -------------------(2)
Multiply Eq. (2) by 3
3(3x + y) = 19.50 * 3
9x + 3y = 58.5 -----------------(3)
Subtract Eq. (3) from (1)
x + 3y - 9x - 3y = 26.50 - 58.50
x - 9x = -32
-8x = -32
8x = 32
Divide 8 to both sides
x = $4
Put x = 4 in (1)
4 + 3y = 26.50
Subtract 4 to both sides
3y = 26.50 - 4
3y = 22.50
Divide 3 to both sides
y = $7.50
So,
The cost of 1 taco = $4
The cost of 1 quesadilla = $7.50
\(\rule[225]{225}{2}\)
How many kilograms are in 14,500 grams?
Answer: 14.5
Step-by-step explanation: there is 1000 g in a kg
the percentenge of 2:1 ratio
Answer: 200%
Step-by-step explanation: Seeing as 1:1 is a 100% and we all understand that just add 100% more for every number on the left if the other side is = to 1
There are 10
triangles and 4 circles. What is the simplest ratio of circles to total
shapes?
Answer:
5:2 is the simplest ratio of the circles to total
Step-by-step explanation:
5:2 is the answer hope it helps ya
A to D is an example of _____________?
A. reflection across the line y = 1
B. reflection across the line y = x
C. y-axis symmetry
D. x-axis symmetry
Answer:
D
Step-by-step explanation:
A and D are both equidistant from the x- axis, that is
A is 3 units above the x- axis and D is 3 units below the x- axis
then the x- axis is the line of symmetry
Can anyone help me on this one
Hello !
Answer :
\({x}^{ - \frac{8}{3} }\)\(\sqrt[3]{ {x}^{ - 8} }\)\(\sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }\)Explanation :
\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)
\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)
\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)
Have a nice day ;)