Evaluate the expression

Evaluate The Expression

Answers

Answer 1

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 2

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

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

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]

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.

To know more about probability follow

https://brainly.com/question/24756209

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

30 degree

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

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 !!

The volume is equal to the area of the base times the height.

Base Area = (20 + 21)in^2 = 41in^2

x = height

(41 x)in^3 = 123in^3

x = (123 : 41)in
x = 3in

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

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.

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

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

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

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

Answer:  Yes

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.

Learn more about the confidence interval of the population for small sample here:

https://brainly.com/question/23008823

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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)



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°.

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.

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]

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

The answer is 6
When distributing, 4x2=8. Subtract 8 from 32, and you get 24. 24 divided by 4 is 6.

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.

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]

answer you get points
Find the measure of the indicated angle to the nearest degree

Answers

the answer is 14.67639.. or to the nearest whole number 14°

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

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

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

To learn more about the sphere visit:

https://brainly.com/question/10171109

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]

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.

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

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

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

To learn more about the equation visit:

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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.

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.

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

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