Answers
Answer:
36
Step-by-step explanation:
Given expression:
[tex](10 - 3 + 5)^{2}} \times \dfrac{1}{4}[/tex]
Simplify the expression in the parenthesis
[tex]\implies (12)^{2} \times \dfrac{1}{4}[/tex]
Simplify the exponents in the expression:
[tex]\implies (12) \times (12) \times \dfrac{1}{4}[/tex]
[tex]\implies 144 \times \dfrac{1}{4}[/tex]
∴ Recall that: (a × 1/b = a ÷ b)
[tex]\implies 144 \div 4[/tex]
Simplify the expression:
[tex]\implies 144 \div 4[/tex]
[tex]\implies \boxed{36}[/tex]
Answer:
C) 36
Step-by-step explanation:
Given expression:
[tex]\dfrac14(10-3+5)^2[/tex]
Following the order of operations, carry out the operations inside the bracket first:
[tex]\implies \dfrac14(7+5)^2[/tex]
[tex]\implies \dfrac14(12)^2[/tex]
Now carry out the exponent:
[tex]\implies \dfrac14(144)[/tex]
Finally:
[tex]\implies \dfrac{144}{4}=36[/tex]
Related Questions
What is the perimeter? If necessary, round to the nearest tenth.
Answers
Answer:
180
Step-by-step explanation:
a^2 + b^2 = c^2
(18^2)+(80^2)=6724
square root of 6724 is 82
82+18+80 = 180
find the slope of the line passing through the points (4,-6) and (3, -9)
btw the answer will be a fraction
Answers
Answer:
3/1 is the slope.
Step-by-step explanation:
Slope formula: y2 - y1/x2 - 1
Plugging in the given values, we get:
-9 - (-6)/3-4
-3/-1
Two negatives cancel each other out, so:
3/1 is the slope.
A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is equally likely to occur. construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find the probability that a sequence will contain exactly one 0. a. 000, 001, 010, 011, 100, 101, 110, 111; the probability is startfraction 7 over 8 endfraction. b. 001, 011, 101, 111; the probability is startfraction 2 over 8 endfraction. c. 000, 010, 011, 101, 111; the probability is startfraction 2 over 8 endfraction = one-fourth. d. 000, 001, 010, 011, 100, 101, 110, 111; the probability is startfraction 3 over 8 endfraction.
Answers
The probability that a sequence will contain exactly one 0 is 3/8.
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1,
We should consider sequences of three digits, where each digit is either 0 or 1. A sequence has three places .
where each place has two possibilities, i.e., 0 or 1, so, for the multiplication rule
we know that the sample space will have (2)(2)(2) = 8 sample points.
Specifically, the sample space is
S = {111, 110, 101, 011, 100, 010, 001, 000},
There are three sequences with exactly one 0.
Therefore the probability that a sequence will contain exactly one 0 is 3/8.
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Ik this isn’t a math question but I just want to know how much is worth cause I think I got it like 10 years ago i don’t know I just forgot I had it
Answers
Answer:
well just look at the price tag it should cost the same price sense it was only about ten years ago its not like it is a thousand years old.
Use the Distributive Property to solve: 4(x + 2) = 32
Answers
Answer:
The value of x = 6
Step-by-step explanation:
=> 4(x + 2) = 32
=> 4x + 8 = 32
=> 4x = 32 - 8
=> 4x = 24
=> x = 24/4
=> x = 6
When distributing, 4x2=8. Subtract 8 from 32, and you get 24. 24 divided by 4 is 6.
You are buying bags of flour and bags of sugar for a bakery. You must buy three times as many bags of sugar as there is bags of flour. Also, you are on a budget of $720. Of flour costs $6 per bag and sugar costs $4 per bag, how many bags of flour and how many bags of sugar can you buy
Answers
The number of bags of flour would be 40.
And, the number of bags of sugar would be 120.
Given that,
You must buy three times as many bags of sugar as there are bags of flour.
And, you are on a budget of $720. Flour costs $6 per bag and sugar costs $4 per bag.
Let us assume that,
The number of bags of flour = x
And, the number of bags of sugar = y
Hence, we get;
y = 3x .. (i)
And, 6x + 4y = 720 .. (ii)
Substitute x = 3y in (ii);
6x + 4 (3x) = 720
6x + 12x = 720
18x = 720
x = 720/18
x = 40
From (i);
y = 3 × 40
y = 120
Thus, The number of bags of flour = 40
And, the number of bags of sugar = 120
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When mixed together in varying degrees, the three primary additive colors, consisting of ________, can produce all the other colors in the spectrum.
Answers
Answer:
Red, Blue, Yellow
Step-by-step explanation:
The three primary colors are red, blue, and yellow.
can someone please help me work out this question i really don't understand
Answers
Answer:
108 cm^2
Step-by-step explanation:
rectangle + 2 triangle = total area
L x W + 2 * 1/2 base * height = total area
(5x12) + 2 * 1/2 * 12 * 4 = total area
60 + 48 = 108 cm^2
Answer:
108 cm²
Step-by-step explanation:
To do:
1. find area of rectangle 2. find area of triangles 3. add them together
area of a rectangle = bxh = 5x12 = 60
area of triangle = (bxh)/2 = (12x4)/2 = 24
60+24+24=108
answer you get points
Find the measure of the indicated angle to the nearest degree
Answers
Answer:
30
Step-by-step explanation:
I see that the square in the triangle is a right triangle, so it's automatically a 90 degrees. the triangle should add up to 180, so I figured that since we have 90, we just needed to find the other angles that help add up to that, which is 60 and 30
im sorry if im wrong
Solve Me Mobiles puzzle #20 I need help please I'll give 36 points. I just need help trying to solve this puzzle!!!!
Answers
Answer:
Pink Trapezoid = 15
Green Cresent = 11
Step-by-step explanation:
The total weight of the mobile is 30.
Because the mobile is evenly balanced between both sides, and we know the diamonds weigh 2 each, we can use simple math tofind the values of the other shapes.
So the total weight (30) divided by the 2 sides = 15 on each side.
This means the pink trapezoid weighs 15 and the rigt side weighs 15.
So 15 - 2 - 2 = 11
So the green Crescent weighs 11.
Find the value of W
Answers
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
[tex]sum \: of \: angles\: of \: a \: polygon \: = \\(n - 2) \times 180\degree[/tex]
in the question , we've been given a five sided figure , i.e. , a pentagon.
sum of angles of a pentagon = ( 5 - 2 ) × 180°
[tex]\implies \: 3 \times 180\degree \\ \implies \: 540\degree[/tex]
thus we can say that ,
angle sum property of pentagon states that the sum of all the angles of a pentagon equals 540°.
therefore ,
Step-by-step explanation:
[tex]125\degree + 117\degree + (x + 6)\degree + x + (x - 44)\degree = 540\degree \\ \\ 125\degree + 117\degree + x + 6\degree + x + x - 44\degree = 540\degree \\ \\ 204\degree + 3x = 540\degree \\ \\ 3x = 540\degree - 204\degree \\ \\ 3x = 336\degree \\ \\ x = \cancel\frac{336}{3} \\ \\ x = 112\degree[/tex]
hope helpful ~
[tex]{\huge{\fcolorbox{purple}{blue}{\red{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{yellow}{Answer}}}}}}}}}}}}}[/tex]
To find :-
The value of x in the angles of Pentagon
Given :-
Here we have been provided 5 angles in Pentagon
x°, (x - 44)°, (x + 6)°, 125°, and 117°
Solution :-
We will find the value of x with the angle sum property.
Now, we will find the sum of angles of Pentagon
there is a formula
(n - 2) × 180°
n = no. of sides of above shape
here n = 5
(5 - 2) × 180°
3 × 180° = 540°
Now will add the above given angle in the diagram and put equal to 540°.
x° + (x - 44)° + (x + 6)° + 125° + 117° = 540° (angle sum property)
[tex]3x + 204{\degree} = 540{\degree} \\ 3x = 540{\degree} -204{\degree} \\ 3x = 336{\degree} \\ x = \frac{336{\degree}}{3} \\ x = 112{\degree}[/tex]
x = 112°
further we will find further 2 angles related to x.
x - 44 = 112 - 44 = 68°
x + 6 = 112 + 6 = 118°
Result :-
The all angles of Pentagon are
125°, 117°, 118°, 112°, and 68°.
A salesperson sells $2100 in merchandise and earns a commission of $273, What is the commission rate?
Answers
if we take 2100 to be the 100%, what is 273 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 2100 & 100\\ 273& x \end{array} \implies \cfrac{2100}{273}=\cfrac{100}{x}\implies \cfrac{100}{13}=\cfrac{100}{x} \\\\\\ 100x=1300\implies x=\cfrac{1300}{100}\implies x=13[/tex]
A 95 % confidence interval for the proportion of democrat voters in the State of Florida based on a poll is (0.34, 0.43). Based on this confidence interval, is it reasonable to claim that less than 45 % of Floridian voters are democrats
Answers
Reason:
The confidence interval for the population proportion p is (0.34, 0.43)
This is equivalent to saying 0.34 < p < 0.43
We're 95% confident p is somewhere between 0.34 and 0.43
Both of these endpoints are smaller than 0.45, meaning that all of the proportions p in the interval are smaller than 0.45
So it's fairly reasonable to assume that less than 45% of the Floridian voters are democrats (since it seems to be between 34% and 43%). Keep in mind that there's always a margin of error with statistics, so we cannot say this with 100% certainty.
Yes, it is reasonable to claim that less than 45 % of Floridian voters are Democrats.
How to calculate a confidence interval for the population mean for a small sample?If the sample size is given to be n < 30, then for finding the confidence interval for the mean of the population from this small sample, we use a t-statistic.
Let the sample mean given as[tex]\overline{x}[/tex] and
The sample standard deviation s, and
The sample size = n, and
The level of significance = [tex]\alpha[/tex]
Then, we get the confidence interval in between the limits
[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]
where, [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for a specific level of significance and degree of freedom n - 1.
The confidence interval for the population proportion p is given as (0.34, 0.43)
This is equivalent to 0.34 < p < 0.43
We're 95% confident that p is somewhere between 0.34 and 0.43
Both of these endpoints are smaller than 0.45, seems that all of the proportions p in the interval are smaller than 0.45
So it's fairly reasonable to assume that less than 45% of the Floridian voters are Democrats. So there's always a margin of error with statistics, so we cannot say this with 100% certainty.
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An isosceles triangle has an angle that measures 120°. What measures are possible for the other two angles? Choose all that apply.
1) 10 Degrees
2) 30 Degrees
3) 120 Degrees
4) 70 Degrees
Answers
The sum of isosceles triangle is 180 degree. And this triangle 2 sides have to be equal.
So one of our angle is 120 degree. Two angle will be 180-120 = 60 degree
Now one angle 60/2=30
Find the derivative of the following function at x = 12. f(x) = 7x2
Answers
[tex]\text{Given that,}\\\\f(x) = 7x^2\\\\f'(x) = 7\cdot 2 x = 14x\\\\\text{At x = 12,}\\\\f'(12) = 14 \times 12 = 168[/tex]
determinan MAtriks beikut! -10-311-39-301-20012-4
Answers
Answer:
-20677
Step-by-step explanation:
-23 . - 29 . -31
10. A sphere has a volume of 7,234.56 units?. Using 3.14
for pi, find the radius of the sphere. Record your answer
on the grid.
Answers
The radius of the sphere has a volume of 7,234.56 units^3 is 1728 units.
We have the sphere has a volume of 7,234.56units^3
V=7,234.56units^3
What is the formula for the volume of a sphere?
[tex]V=(4/3)(pi)(r^3)[/tex]
Where r is the radius.
Solving this for r^3, we get
[tex]r^3=\frac{V}{(4/3)(pi)}[/tex]
[tex]r^3=\frac{V}{(4/3)(3.14)}[/tex]
[tex]r^3=\frac{7,234.56}{4.19}[/tex]
[tex]r=1728[/tex]
Therefore we get the radius of the sphere is r = 1728 units
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please help asap il mark brainliest
Answers
Answer: Square is rhombus
Rectangle not rhombus
Last one rhombus
Step-by-step explanation:
They have to have parallel lines that never meet
All sides have to be the same size
I got the same question right to it should be right
If your quiz is out of 14 and you get 80 percent how many questions did you get wrong
Answers
Answer: 2.8
Step-by-step explanation: 80/100 of 14 = 11.2
Wrong = 14 - 11.2
Answer:
You got 11.2 questions right and 2.8 questions wrong.
Step-by-step explanation:
80% * 14 is 11.2
And 14-11.2 is 2.8
on monday lexi rode 3 miles on a bike on tuesday she rode 3 times more than she did monday on wednesday she rode an additional 4 miles
Answers
Answer:
Lexi rode a total of 13 miles in 3 days.
Step-by-step explanation:
3x3+4=13
Answer: The other answer is wrong it Lexi road 16 miles and not 13
16 is rigth
A box is shaped like an octagonal prism. Here is what the base of the prism looks like. I already got question one solved, but question two is If the volume of the box is 123in cubed, what is the height of the box?
Answers
Answer:
287(inches)³
!! PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST !!
Base Area = (20 + 21)in^2 = 41in^2
x = height
(41 x)in^3 = 123in^3
x = (123 : 41)in
x = 3in
The area of a rectangle is 44 square units. Its length measures 11 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.
Answers
Answer:
about 11.7 units
Step-by-step explanation:
[tex]11w = 44[/tex]
[tex]w = 4[/tex]
[tex] \sqrt{ {11}^{2} + {4}^{2} } = \sqrt{121 + 16} = \sqrt{137} = 11.705[/tex]
The new aircraft model has a passenger section that is 100 feet long. Using appropriate variables, write an equation expressing the relationship between the number of rows of seats on the airplane and the seat pitch. Assume that the seatbacks in the last row are flush against the wall
Answers
Answer:
16x257
Step-by-step explanation:this eqals that and stuff
In two or more complete sentences, explain how to solve the cube root equation, 3_/x+1 -2 = 0.
Answers
Answer:
You do the thing, then the other thing than BAM! An answer!
Step-by-step explanation:
POINTS
Please help super fast I will give brainliest
Answers
Answer: hii
1 is the only correct expression.
Step-by-step explanation:
Anything raised to 0 is 1.
Hopefully this helps you
- Matthew <3
Answer: A, B, C, D
All four answers are to be checked off
Explanation:
Anything of the form [tex]x^0[/tex] will be equal to 1, whenever x is nonzero.
So [tex]5^0 = 1[/tex]
All of the answer choices mentioned simplify to 1. Dividing any nonzero value over itself yields 1, so that explains A and B.
Choice C should be fairly obvious, and choice D there isn't any simplification needed.
What is the volume of a cylinder with a base of 24 meters and a height of 6 meters
Answers
Answer:
Volume = 2714.34
Step-by-step explanation:
This is answer because the formula to finding cylinder volume is: [tex]\pi[/tex][tex]r^{2}[/tex]h
Radius = [tex]\frac{Diameter or Base}{2}[/tex]
Radius = 12
12 squared = 144
144*6 = 864
864[tex]\pi[/tex] = 2714.34 (rounded)
6. We want to build the smallest cube possible using bricks with dimensions 8 cm - 12 cm 20 cm. How many bricks do we need?
Answers
Answer:
1200
Step-by-step explanation:
We’ll need a number that is evenly dividable by all three values: 8,12 & 15. We can develop the generic common multiple by multiplying all three numbers and get 1440. But is that the smallest common multiple? The quick and dirty way to factor the number is to divide it by it’s various elements and see what works. In this case 1440/12=120 which is the smallest common multiple of the three numbers. The smallest length is therefore 120.
In order to find how many bricks just divide (120x120x120)/(8x12x15)=1200 bricks
I need help asp pleaseee!!!
Answers
Answer:
Option B, [tex]396\ units^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the bottom
[tex]A = l * w[/tex]
[tex]A = 12\ units * 8\ units[/tex]
[tex]A = 96\ units^2[/tex]
Step 2: Determine the area of the back
[tex]A = l * w[/tex]
[tex]A = 9\ units * 8\ units[/tex]
[tex]A = 72\ units^2[/tex]
Step 3: Determine the hypotenuse
Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]
[tex]12^2 + 9^2 = c^2\\[/tex]
[tex]144 + 81 = c^2[/tex]
[tex]225 = c^2[/tex]
[tex]\sqrt{225} = \sqrt{c^2}[/tex]
[tex]15 = c[/tex]
Step 4: Determine the area of the top
[tex]A = l * w[/tex]
[tex]A = 15\ units * 8\ units[/tex]
[tex]A = 120\ units^2[/tex]
Step 5: Determine the area of the triangles
[tex]A = \frac{h\ *\ b}{2}[/tex]
[tex]A = \frac{9\ units\ *\ 12\ units}{2}[/tex]
[tex]A = \frac{108\ units^2}{2}[/tex]
[tex]A = 54\ units^2[/tex]
Step 6: Determine the surface area
[tex]96\ units^2 + 72\ units^2 + 120\ units^2 + 2(54\ units^2)[/tex]
[tex]396\ units^2[/tex]
Answer: Option B, [tex]396\ units^2[/tex]
12 What is the solution to this equation?
-12x-7 = 53
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
Answers
Answer:
x=-5
Step-by-step explanation:
add 7 to 53 then divide -12 to itself and 60.
Solve for x.
X=?
5x-16 x+10
Answers
Answer:
The answer is x= 31
Step-by-step explanation:
(5x-16)+ (x+10)= 180 (Linear Pair)
Now, open the brackets
5x-16+x+10= 180
Arrange the like terms together
5x+x-16+10= 180
=> 6x-6= 180
=> 6x= 180+6
=> 6x= 186
=> x= 186/6 = 31
∴x= 31
Hope it helps!!
[tex]\bold{ANSWER:}[/tex]
x = 31
[tex]\bold{EXPLANATIONS:}[/tex]