Simplify (√3 − √7)^2

Answer:D

between 3 and 4

I got it right in khan!

Step-by-step explanation:

The required number of boxes that the Taylor family eats in a week is 3 3/4 boxes.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
As of the given conditions,
1 person can eat 3/4 of box in one week
There are 5 persons in the family,
Total box of cereal that can be eaten = 5(3/4)
= 15/4
= 3 3/4

Thus, the required number of boxes that the Taylor family eats in a week is 3 3/4 boxes.

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Answer:

1

Step-by-step explanation:

5m + 9n

5(-7) + 9(4)

-35 + 36

1

Answer:

1

Step-by-step explanation:

5m + 9n

Plug in the numbers

5(-7) + 9(4)

Multiply

- 35 + 36

Solve.

36-35=1

Answer: x=4 y=14 z=4

Step-by-step explanation:

On edge it is that

The required exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.

Using math and algebraic principles, simplification entails removing pointless variables, factors, or operations from an expression. Getting an expression that is simpler to use, manipulate, or solve is the aim. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.

Here,
To simplify the given expression, we need to use the rules of exponents:

= [(x²y³)⁻¹ / (x⁻²y²z)²]²

= [(1 / x²y³) / (x⁻⁴y⁴z²)]²

= [(1 / x²y³) * (x⁴ / y⁴z²]²

= x⁴ / y¹⁴z⁴

Therefore, the exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.

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Answer:

735.13268 units^2

Step-by-step explanation:

A=2πrh+2πr2=2·π·9·4+2·π·92≈735.13268

Answer:

I think they are the range, the interquartile range. Tell me if if wrong!

Step-by-step explanation:

Answer:

c = 1/2

Step-by-step explanation:

Solve for c:

c + 4 (c + 3) = c + 14

4 (c + 3) = 4 c + 12:

4 c + 12 + c = c + 14

Grouping like terms, 4 c + c + 12 = (c + 4 c) + 12:

(c + 4 c) + 12 = c + 14

c + 4 c = 5 c:

5 c + 12 = c + 14

Subtract c from both sides:

(5 c - c) + 12 = (c - c) + 14

5 c - c = 4 c:

4 c + 12 = (c - c) + 14

c - c = 0:

4 c + 12 = 14

Subtract 12 from both sides:

4 c + (12 - 12) = 14 - 12

12 - 12 = 0:

4 c = 14 - 12

14 - 12 = 2:

4 c = 2

Divide both sides of 4 c = 2 by 4:

(4 c)/4 = 2/4

4/4 = 1:

c = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

Answer: c = 1/2

The value of the annuity at the end of 5 years, rounded to the nearest dollar is $10,833.

The formula that can be used to determine the future value of the annual annuity is:

Yearly deposity x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

2000 x {[(1.04^5) - 1] / 0.04} = $10,832.65

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Answer:

[tex]y = 40\cdot k[/tex]

Step-by-step explanation:

Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:

[tex]y \propto x[/tex]

[tex]y = k \cdot x[/tex]

Where [tex]k[/tex] is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:

[tex]y = 40\cdot k[/tex]

Answer:

The first answer is ''y=45 x''

1800 people for the second one

Answer:

[tex] 12.0^\circ [/tex]

Step-by-step explanation:

Think of a right triangle. It may help you to draw it.

Start at a point. Draw a point and label it point A. That is where the plane takes off from. Now draw a diagonal segment tilted up to the right and stop at a point and label it B. Segment AB is the path of the airplane. Now draw a segment down  vertically to a point you will label C, so that points A and C are on the same horizontal line. Connect points A and C.

You now have a right triangle. Angle C is the right angle. AB is the hypotenuse and is 5.4 km. That is the actual distance the plane traveled. BC is 1.12 km (since 1120 m = 1.12 km) and is a leg of the right triangle. The angle you are looking for is angle A.

For angle A, BC is the opposite leg. AB is the hypotenuse.

The trig ratio that relates the opposite leg to the hypotenuse is the sine.

[tex] \sin A = \dfrac{opp}{hyp} [/tex]

[tex] \sin A = \dfrac{1.12~km}{5.4~km} [/tex]

[tex] \sin A = 0.2074 [/tex]

[tex] A = \sin^{-1} 0.2074 [/tex]

[tex] A = 12.0^\circ [/tex]

Answer: 12.0 degrees

Answer:

[tex]76.0m^2[/tex] (you have to have the .0 since it says to round to the nearest tenth)

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

[tex]A=2(wl+hl+hw)[/tex]

So just plug in the values.

Height= 4

Width=2

Length=5

[tex]A=2((2)(5)+(4)(5)+(4)(2))\\A=2(10+20+8)\\A=2(38)\\A=76m^2[/tex]

Answer:

c

Step-by-step explanation:

it has to be a negative graph so a and d aren't right and the y intercept is 3 so c is right

Answer:

the answer is C

Step-by-step explanation:

1st step to write the slope intercept form then first u need to find the two points that ur going to use, then u get the slope

FIND THE SLOPE:

point 1: (2,0)

point 2: (0,3)

slope= y2-y1/x2-x1

s= 3-0/0-2

s= -3/2

2nd step is to find the y-intercept, to find that u take the slope intercept form which is y=mx+b

m=slope

b=y-intercept

and now substitute the variable for the known value

pick any of the two points, so u can substitute the variable X and Y

x=2

y=0

b=-3/2

0=2(-3/2)+b

solve to find B

distribute 2

2(-3/2)=-6/2 or -3

0=-3+b

and now add 3 to both sides

0+3=-3+3+b

b=3

now the slope intercept formula is y=-3/2x+3

to check the answer u can substitute the X and Y of one of the points and see if u get the solution as 0 or 3 (it depends on which point u chose)

Answer: 97

Step-by-step explanation:

This can be translated to:

The Grandfather, Don José, is a old man, but is not over 100 years old.

Last year his age was a multiple of 8, and next year will be a multiple of 7.

Find the age of Don José.

Ok, if the age of Don José is X, we have that:

X is a number of two digits.

X + 1 is a multiple of 7

X - 1 is a multiple of 8.

ok, the multiples of 7 are:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

the multiples of 8 are:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

Now we must find any two numbers (one for each set) that are distanced by 2 units (because the difference between X + 1 and X - 1 is: (X + 1) - (X - 1) = 2)

We also must have that the larger number comes from the set of the multiples of 7, and the smaller number comes from the set of multiples of 8, the numbers are:

98, is multiple of 7 and this is X + 1

96 is multiple of 8 and this is X - 1

then X = 97,

Answer:

X= -14

Step-by-step explanation

4(x + 2) =3(x-2)

4x + 8 = 3x - 6

4x - 3x= - 8 - 6

X = - 14

Answer:

3/2

Step-by-step explanation:

it's the slope because it's before x.

Answer: 3/2 is the answer

Answer:c=5

Step-by-step explanation:

Answer:

1/80

Step-by-step explanation:

The probability of selecting each of the event in the sample space is; 1/80

We are given;

Sample Space = 80 separate events

Now, we are told that each event is equally likely to be selected.

Thus;

Probability of selecting each event = 1/80

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Hello!

[tex]\boxed{ \bf w~=~4}[/tex]

________________________________________________

7(w + 9) = 91

First, we must multiply everything in the brackets by 7.

= 7(w) + 7(9) = 91

= 7w + 63 = 91

Now, we must solve for w. To do this, we will need to isolate it by perfoming the opposite operation on 63. Since it is +63, we'll need to subtract it from both sides of the equation.

= 7w + 63 = 91

         - 63   - 63

7w = 28

Since w is being multiplied, we'll have to perform the opposite operation (which is division).

[tex]\frac{7w}{7} = \frac{28}{7}[/tex]

w = 4

The right answer is 4.

look at the attached picture

Hope it will be helpful to you..

Answer: The distance across the middle of the circle

Step-by-step explanation:

Answer:

5.5 is the number.

Step-by-step explanation:

14-(-2x)=25

Solve the equation.

2x=11

x=5.5

The value of number is -13.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. . In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Fourteen subtracted from the product of a number and -3 is 25

let the number be x

product of a number and -3= -3x

and, Fourteen subtracted from the product of a number and -3

= -3x- 14

So, -3x -14 = 25

-3x = 25+14

-3x = 39

x= -13

Hence, the value of x is -13.

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Answer:

Domain- {IR} all real numbers or {infinity,infinity}

Range-{0,infinity}

Step-by-step explanation:

plug into calculator

Answer:

His estimate is not accurate because the total of those five items costs more than how much he has to spend. His total would be $23.52.

Answer:

The complete question is as below:

Stacy and Melissa work as waitresses.  They both earn $7.75 per hour, plus tips. Last weekend, Stacy worked x number of hours and earned $153.95 in tips. Melissa worked y number of hours and earned $129.02 in tips.  Stacy determined that using the expression 7.75x + 153.95 + 7.75y + 129.02 will calculate the amount the girls earned together last weekend.  Select another expression the girls could also use.

A. 7.75x + y + 282.97

B. 7.75(x + y) + 282.97

C. 7.75(xy) + 282.97

D. 7.75x + 7.75y – 282.97

Option B,7.75(x + y) + 282.97  is correct

Step-by-step explanation:

Stacy already calculated total earnings of both of them with expression

7.75x + 153.95 + 7.75y + 129.02

The expression can be rewritten by simplifying it

first and foremost we can arrange the expression as follows:

7.75x+7.75y+153.95+129.02

7.75 is common to 7.75x+7.75y

7.75(x+y)+153.95+129.02

the sum of these two numbers 153.95+129.02=282.97

7.75(x+y)+282.97

From all indications,option B is the correct answer out of all options provided

Option D is obviously because of the negative sign introduced since the requirement is to compute total earnings not the difference between the two earnings

Answer: I did get a chance to look for the new one on my way back from the Senate and I will be there at the same time as the first time in the new season and then we going to go look for it and I get it to you tomorrow

Step-by-step explanation:

Answer:

No, the correct answer is -4

Step-by-step explanation:

-2 x (5 - 3)

(5 - 3)= 2

-2 x 2= -4

-4

Chase is not correct because the product of -2 and 2 is not 4 but the product of -2 and 2 is -4

From the question,

The expression Chase simplified is–2 ×­ (5 – 3).

First, we will simplify this expression properly and then check if Chase is correct or not.

To simplify the expression –2 ×­ (5 – 3)

First, we will evaluate the expression in the bracket

The expression in the bracket is 5 - 3

5 -3 = 2

Therefore, the expression –2 ×­ (5 – 3) becomes

–2 ×­ (2) = –2 ×­ 2

Now, we will complete the simplification by evaluating –2 ×­ 2

–2 ×­ 2 = -4

∴ Simplifying the expression –2 ×­ (5 – 3) gives -4

Now, to determine if Chase is correct or not, we will compare answers.

Since Chase found –2 ×­ 2 = 4, Chase is not correct because –2 ×­ 2 = –4. He did not add the negative sign.

Hence, Chase is not correct because the product of -2 and 2 is not 4 but the product of -2 and 2 is -4

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Answer:

a

Step-by-step explanation:

Question:

Gabriel started to calculate the area of the triangle. His work is shown.

A = 1/2 bh=1/2 (1/2) (3/4)

A triangle has a base of three-fourths inch and a height of one-half inch

What is the area of the triangle?

The area of the triangle is ___in.²

Answer:

Area of the triangle = [tex] \frac{3}{16} inch^2 [/tex]

Step-by-step explanation:

We are given the dimensions of the triangle as:

Base, b = ¾ inch

Height, h= ½ inch

To find the area of the triangle, let's use the formula :

Area of a triangle = ½base *height

Solving further, we have:

Area of a triangle = [tex] \frac{1}{2}*\frac{3}{4} * \frac{1}{2} = \frac{3}{16} [/tex]

Area of the triangle = [tex] \frac{3}{16} inch^2 [/tex]

Answer:

99, 103, 91, 104, 109, 107, 97

Step-by-step explanation:

The bold is the outlier

113, 115, 103, 154, 109, 111, 119

141, 151, 111, 142, 149, 140, 150

131, 135, 131, 99, 138, 136, 140

Answer:

a(n) = 2 + 2(n - 1)

Step-by-step explanation:

Since each new term is derived from the previous term by adding 2, this is an arithmetic sequence, and the "common difference"  is 2.

Then a(n) = 2 + 2(n - 1)

Answer:

5x-(9x+14)=−4x−14

3(x+10)-2=3x+28

So, 3(x+10)-2 is greater than 5x-(9x+14)