Simplify the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared.


a. 1,394

b. 1,344

c. 74

d. 24
will give brainliest to whoever answers in the next 15 minutes

Answers

Answer 1

Simplifying  the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared is: c. 74.

Expression

The given expression:

(10 - 3/4 × ✓16)² + (2 - 7)²

Hence,

Now let simplify the expression

(10 - 3/4 × ✓16)² + (2 - 7)²

=(10 - 3)² + (-5)²

= 7² + 5²

= 49+ 25

= 74

Therefore simplifying  the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared is: option c. 74.

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Related Questions

The measure of the complement of an angle is double the
measure of the angle itself. Find the measures of both angles.

Answers

Answer: u need to send a pic of the angle

Step-by-step explanation:

The length of a rectangle is 5 in longer than its width.

If the perimeter of the rectangle is 58 in, find its length and width.

Answers

Answer:

Length = 17 in

Width = 12 in

Step-by-step explanation:

Formula we use,

→ P = 2(L + W)

Then the value of L and W is,

→ P = 2(L + W)

→ 58 = 2(x + 5 + x)

→ 2(2x + 5) = 58

→ 4x = 58 - 10

→ x = 48/4

→ [ x = 12 ]

Then the width will be,

→ W = x = 12 in

Hence, the width is 12 in.

Now the length will be,

→ L = x + 5 = 12 + 5 = 17 in

Therefore, the length is 17 in.

Real number root for V-49

Answers

Step-by-step explanation:

there is no real number solution for the square root of a negative number.

a sqare root multiplied by itself had to deliver exactly the number inside the square root.

so for sqrt(-49), what can be the answer ?

which number multiplied by itself gives -49 ?

it any negative number at that.

because

a × a = a²

and

-a × -a = a² but definitely not -a².

we get a negative number only, when we multiply a positive number with a negative number or vice versa.

the only solution is complex or imaginary (based on the imaginary number i):

i² = -1

i = sqrt(-1)

so, sqrt(-49) = sqrt(49 × -1) = 7×sqrt(-1) = 7i

but again, no real solution.

Andrew can paint the​ neighbor's house 5 times as fast as Bailey. The year Andrew and Bailey worked​ together, it took them 2 days. How long would it take each to paint the​ house?

Answers

Answer:

12 days for Bailey

2.4 days for Andrew

Step-by-step explanation:

If Andrew is 5 times as fast, then Andrew + Bailey are 6 times as fast as Bailey alone.

That means Bailey would take 2*6 = 12 days to paint alone.

Since Andrew is 5 times faster, he'd only take 12/5 = 2.4 days.

Nora has a box of 1 hundred cubes she also has a bag of 70 cubes how many trains of 10 cubes can she make?

Answers

Answer:

17

Step-by-step explanation:

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\\ 10\overline{|\smallspace170}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace7\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace7\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

How many degrees is the angle marked X?

Answers

Answer:

the angle marked X is 60 degree

Oliver threw the discus 43.82 feet. Jason threw the discus 50.02 feet. What is the difference between the two distances?

A 6 feet
B 6.2 feet
C 13.8 feet
D 16.02 feet

Answers

The answer would be B: 6.2 feet. You would take 50.02 minus 43.82 and you would get 6.2. I hope this helps <3

The difference between the distances thrown by Oliver and Jason while discus throwing is 6.2 feet.

The correct answer is Option B.

Given data:

Oliver threw the discus 43.82 feet.

Jason threw the discus 50.02 feet.

Oliver threw the discus a distance of 43.82 feet, while Jason's throw reached a distance of 50.02 feet. The difference is calculated by subtracting the shorter distance from the longer distance, resulting in 6.2 feet.

Difference = Longer distance - Shorter distance

Difference = 50.02 feet - 43.82 feet

On simplifying the equation:

Difference = 6.2 feet

This represents the variation in their performances, with Jason achieving a greater distance by 6.2 feet compared to Oliver's throw.

Hence, the difference is 6.2 feet.

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A college football team will play 14 games next fall each game can result in 2 possible outcomes find the total possible number of outcomes for the season

Answers

There will be an outcome of 16380 times.

What is an outcome?

An outcome is a potential consequence of an event or trial in probability theory. A specific experiment can have any number of outcomes, and they are all distinct and unrelated to one another. 

The football team will play 14 games

and each game can result in one of 2

Hence, the total possible number of outcomes for the season is [tex]2^{14}[/tex].

Now, let us explain

Let the result can be represented by an 'ordered set" i.e. 14- box.

|1|2|3|4|5|6|7|8|9|10|11|12|13|14|

Hence, the first box can be filled in 2 ways.

Similarly, all boxes.

Hence, the total number of cases will be,

2*2*2*2.... 14 times

=  [tex]2^{14}\\[/tex]

=16380 times.

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Emma is baking cookies for her sisters birthday. She is using a bowl in the shape of a hemisphere with a diameter of 11.5 inches. If the bowl is completely full of dough and each cookie is 8.295 cubic inches of dough, how many cookies can she make

Answers

Considering the volume of the hemisphere, it is found that she can make 48 cookies.

What is the volume of an hemisphere?

The volume of an hemisphere of radius r is given as follows:

[tex]V = \frac{2\pi r^3}{3}[/tex]

The radius is half the diameter, hence, for this problem:

r = 11.5/2 = 5.75.

Hence the volume of the bowl in cubic inches is given as follows:

V = 2π(5.75)³/3 = 398.16 cubic inches.

Consider the volume of a single cookie, the number of cookies that she can make is given by:

398.16/8.295 = 48 cookies.

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What is the value of this expression if h 8, j = -1, and k = -12?

Answers

Value of the given expression j³k/h0 is 12

h = 8

j=-1

h = 8

In order to do this, we need to change the values of h, j, and k in the given statement = (-1)^3 (-12) / 8^0  ....(1)

Find the denominator by using (1)

(-1)³ (-12) / 1

Analyze each exponent.

= 12/1

Hence, j³k/h0 = 12

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Complete Question -

What is the value of this expression if h=8 ,j= -1 , and k= -12? j³k/h0

compare the following numbers
2.7×1012;1.5×108

Answers

2.7×1012 (i.e.2,732.4) is greater than 1.5×108 (i.e. 162)

Given two numbers

1)2.7×1012

2) 1.5×108

Two numbers can be equal or one is greater than the other or one is less than the other. there will be no other case rather than these three.

1)2.7×1012=2,732.4

2) 1.5×108=162

The value of the 1st number is 2,732.4 and the value of the 2nd number is 162

1st given number is greater than the 2nd number i.e. 2,732.4>162

Therefore,2.7×1012 (i.e.2,732.4) is greater than 1.5×108 (i.e. 162)

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Identify the lower class limits, upper class limits,
class width, class midpoints, and class boundaries for
the given frequency distribution. Also identify the
number of individuals included in the summary.
Age (yr) when
award was won
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Frequency
27
32
15
3
5
1
1

Answers

The upper class limits are- 29, 39, 49, 59, 69, 79, 89

The lower class limits are- 20, 30, 40, 50, 60, 70, 80

The class midpoints are- 24.5, 24.5, 44.5, 54.5, 64.5, 74.5, 84.5

The class boundaries are- 29.5, 39.5, 49.5, 59.5, 69.5, 79.5

And the number of individuals included in the summary is 84.

Here, we are given the following dataset-

Age (yr) when          Frequency

award was won

20-29                       27

30-39                       32

40-49                       15

50-59                       3

60-69                       5

70-79                        1

80-89                       1

Upper class limit is the largest data value that can go in a class.

Thus, the upper class limits are- 29, 39, 49, 59, 69, 79, 89

Lower class limit is the smallest data value that can go in a class.

Thus, the lower class limits are- 20, 30, 40, 50, 60, 70, 80

The class midpoint is the average of the upper and lower limits of a class. Class midpoint = (upper limit + lower limit)/ 2

Thus, the class midpoints are- 24.5, 24.5, 44.5, 54.5, 64.5, 74.5, 84.5

Class boundary is the midpoint of the upper class limit of a class and the lower class limit of the previous class.

Thus, the  class boundaries are- 29.5, 39.5, 49.5, 59.5, 69.5, 79.5

Frequency gives us the number of individuals/ objects belonging to a particular class.

Thus, the number of individuals included in the summary = 27 + 32 + 15 + 3 + 5 + 1 + 1 = 84

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Write the first trigonometric function in terms of the second for in the given quadrant. (No theta symbol so used word)

sec(theta), tan(theta); theta in Quadrant IV

sec(theta) =

Answers

The expression of [tex] \mathbf{sec( \theta)}[/tex] in terms of [tex]tan( \theta)[/tex] in Quadrant IV is presented as follows;

[tex] sec( \theta) = \sqrt{{tan( \theta)}^{2} + 1} [/tex]

Which trigonometric identity can be used to express the required function?

The given trigonometric functions are;

[tex]sec( \theta)[/tex]

[tex]tan( \theta)[/tex]

[tex] {sec( \theta)}^{2} = {tan( \theta)}^{2} + 1[/tex]

In Quadrant IV, the tangent of an angle is -ve, while the secant is +ve

However, the square of -ve is positive;

(-ve)² = +ve

Therefore;

[tex] \left({tan( \theta)}^{2} + 1 \right) \: is \: positive[/tex]

Which gives;

[tex] sec( \theta) = \sqrt{{tan( \theta)}^{2} + 1} [/tex]

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A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that of the rectangle. what are the dimensions of both the rectangle and the square?

Answers

Answer:

rectangle: 12 ft × 24 ftsquare: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

Setup

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

Solution

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

Additional comment

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

Alternate solution

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

Find the domain and range of the relation. Also determine whether the relation is a function.
{(6,3), (8,5), (-4,-4), (5,5)}

Answers

The domain is:

D: {-4, 5, 6, 8}

The range is:

R: {-4, 3, 5}

And yes, the relation is a function.

How to determine the domain and range?

For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).

Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}

The domain is the set of the first values of each pair, so we have:

D: {-4, 5, 6, 8}

The range is the set of the second values of each pair:

R: {-4, 3, 5}

Now, is this a function?

Yes, it is a function, because each input is mapped into only one output.

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Please help solve question

Answers

Answer:

a) [tex]x=\frac{15}{p}[/tex]

b) x=[tex]-3[/tex]

Step-by-step explanation:

First, you distribute the 4 to open the parentheses.

[tex]4px+4=64[/tex]

Subtract 4 to both sides:

[tex]4px=60[/tex]

Divide by 4p on both sides:

[tex]x=\frac{60}{4p}[/tex]

[tex]x=\frac{15}{p}[/tex]

For the second part, substitute the value of p.

[tex]x=\frac{15}{-5}[/tex]

[tex]x=-3[/tex]

Makayla and Nathan both leave the library at the Same time, but in opposite directions. If Nathan travels 8 mph faster than makayla and after 6 hours they are 192 miles apart, how fast is each traveling?

Answers

The speed of Makayla and Nathan are 12 mph and 20 mph respectively.

What is relation between speed and time?A moving body's speed is the distance it travels in one unit of time. If the distance is in kilometers and the time is in hours, the speed is in kilometers per hour. If the distance is expressed in meters and the time is measured in seconds, the speed is measured in meters per second.

Let the speed of Makayla is 'x' mph.

and the speed of Nathan is 'y' mph.

The total distance travelled by both is 129 miles.

The time taken by each is 6 hours, same for both.

Speed  = distance / time

Distance =  speed × time

Makayla's covered distance = xt

Nathan's covered distance = yt

Total distance = xt + yt

xt + yt = 192

As, Nathan travels 8 mph faster than makayla.

The,

y = x + 8, t = 6 hours substitute;

xt + (x+ 8)t = 192

2x + 8 = 192/6

On simplification;

x = 12 mph (Makayla's speed)

Y = x + 8

y = 12 + 8

y = 20 mph (Nathan's speed)

Therefore, the speed of Makayla and Nathan are x = 12 mph and y = 20 mph respective;y.

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Which expression has a greater value?
(2,040329) x 5
2,040329

Answers

Answer:

2,040329×5

Step-by-step explanation:

you are multiplying 5 more to the number so it will be 5 times larger than the other number

Answer:      (2,040329) x 5 =10.201645

Step-by-step explanation:

they are both equal too so its neither is greater

Trevor has a rectangular patch of dirt that has a length of 50 feet and a width of 30 feet. He wants to divide this area into two rectangular gardens as shown.
Write an expression to represent the area of the
garden on the left.
B. Write an expression to represent the area of the
garden on the right.
C. If the area of the garden on the left is greater, what
is the difference of the areas of the two gardens? Simplify your answer

Answers

Answer:

sweefe

Step-by-step explanation:

EFEFEEa

Translate this sentence into an equation.
The difference of Goran's height and 10 is 57
Use the variable g to represent Goran's height.

Answers

Answer:

g-10=57

Step-by-step explanation:

'Difference' means to subtract.

List a and b for each of them

Answers

1) The intersection of sets A and B is; A ∩ B = {1, 3}

2) The complement of set A is; A' = {4, 5, 6, 9, 10}

How to interpret Mathematical Sets?

We are given the sets;

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 2, 3, 7, 8}

B = {1, 3, 9, 10}

1) The intersection of sets A and B simply means the numbers that are common to both sets. Thus;

A ∩ B = {1, 3}

2) The complement of set A is defined as the set that contains the elements present in the universal set but not in set A. Thus;

A' = {4, 5, 6, 9, 10}

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write 336 mi in 11.2 h as a rate in simplest form

Answers

Answer:

  30 mL/h

Step-by-step explanation:

You want the rate 336 ml in 11.2 h as a rate in simplest form.

Unit rate

The rate can be expressed in simplest form in a number of ways. We usually want rates involving time to be expressed with time units in the denominator:

  (336 mL) / (11.2 h) = 30 mL/h

__

Additional comment

Medicine is often prescribed on a "per day" basis. In 24 hours, this rate would be ...

  (30 mL/h)×(24 h/day) = 720 mL/day

The machine setup to dispense this medicine might use time units of minutes:

  (30 mL/h) / (60 min/h) = (1/2) mL/min

Simplify: 2.4 × 10-4

The four is a exponent

Answers

Answer: 20

Step-by-step explanation:

Multiply 2.4*10-4

Calculate 24-4

the answer is (12x^10000)/5

What is the image of image of the point (-7,-3) after a rotation of 180 degrees counterclockwise
PLEASE

Answers

The image of image of the point [tex](-7,-3)[/tex] after a rotation of [tex]180[/tex] degrees counterclockwise is [tex](7,3)[/tex]

According to the question statement, point [tex](-7,-3)[/tex] is rotated by [tex]180[/tex]  degrees counterclockwise, we are supposed to find out the image of the point after the rotation.

Point [tex](-7,-3)[/tex] lies in the Third quadrant of the Cartesian Plane.

When it will be rotated by [tex]180[/tex] degrees counterclockwise, it will shift to the first quadrant of the Cartesian Plane.

Therefore the coordinates will become as [tex](7,3)[/tex].

Cartesian Plane: The cartesian plane is defined as a two-dimensional coordinate plane that is made or formed by the intersection of the x-axis and y-axis or horizontal and vertical axes.

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need help in algebra 2

Answers

Answer:(-2,2)

Step-by-step explanation:

5. Tad needs to measure where the free-
throw line should be in front of his
basketball goal. He knows his feet are
1 1/8 feet long and the free-throw line
should be 15 feet from the backboard.
How many toe-to-toe steps does Tad
need to take to mark off 15 feet?
10.i

Answers

A basketball court has symmetry; one half of the court is a mirror image of the other. The entire basketball court ( is 94 feet by 50 feet. On each half-court, painted lines show the free throw lane and circle, as well as the three-point arc, whose distance from the basket varies based on the level of hoops being played.

The borders of the court have their own commonsense names:

Along the length of the court, the borders are the sidelines.

Along the ends, the borders are the endlines, or baselines.

Separating both halves of the court is a midcourt line.

In the very center of the midcourt line is the center circle (12 feet in diameter), where the center toss takes place to begin the game.

The free throw lane is the hub of the action in each half-court. This rectangle is 12 feet wide — 16 feet at the men's pro level. Its length, as measured from the basket to the free throw line, is 15 feet at all levels. An offensive player may not stand inside the lane for more than three seconds unless he or one of his teammates is shooting the ball. After a shot is taken, the count starts over again. A defensive player may remain inside the lane for as long as he desires.

A player fouled by another player sometimes receives free throws, also known as foul shots. She takes these shots (they aren't really "throws") from the free throw line at the end of the lane — 15 feet from the basket. The shots are "free" because a defender does not guard the shooter .The remaining players line up alongside the free throw lane (or behind the shooter) and cannot interfere with the shot. They line up in order, on either side of the lane, of defense-offense-defense-offense. (Up to four players may stand on one side of the lane.) If a player opts not to take a spot (say, for example, the second defensive spot), then a player from the opposing team is permitted to step into that spot. The fans behind the basket usually scream, jump up and down, and wave their hands to try to distract an opposing team's shooter during free throws.

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You buy a new computer for $1500. The value of the computer decreases by 6% every year. How much is the computer worth after 4 years?

Answers

Answer: Your computer will be worth $1,171.12

Step-by-step explanation:

[tex]a_n = 1500(0.94)^4\\a_n=\boxed{1171.12}[/tex]

The sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price. What is the total amount paid for the refrigerator?

Answers

The amount paid for the refrigerator is $740.25.

How to calculate the price?

From the information, the sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price.

The price of the refrigerator will be:

= $705 + (0.05 × $705)

= $705 + $35.25

= $740.25

Therefore, the amount paid for the refrigerator is $740.25

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Suppose you make monthly mortgage payments of $1,345 and have 10 years left on the mortgage (next payment due next month). Assuming a 3.6% stated annual interest rate for the mortgage, how much would you need today to pay off the mortgage? ​

Answers

I will need $1,61,884.2 to pay off the mortgage.

This problem is related to simple interest and we have to calculate the amount after 10 years which is payable in the form of mortgage.

The monthly mortgage payment is $1,345.

Rate of interest is 3.6% per annum.

Time is given to be 10 years.

Simple interest for 10 years = 1345×3.6×10/100

                                            = $ 484.2

So, the total money required to clear the mortgage

= $(1345×12×10) + $ 484.2

= $161400 + $484.2

= $ 1,61,884.2

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Simplify negative 2 and 3 over 5 minus 6 and 2 over 7.

Answers

The value of the expression is  -311/35

How to simplify the expression?

The expression is given as

negative 2 and 3 over 5 minus 6 and 2 over 7.

Rewrite properly as

- 2 3/5  - 6 2/7

Express as improper fraction

-13/5 - 44/7

Take the LCM

(-13 * 7 - 44 * 5)/35

Evaluate

-311/35

Hence, the value of the expression is  -311/35

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