Enter your answer as a proper fraction, or mixed number.

Answer:

[tex]\frac{27}{20}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} + \frac{6}{8}[/tex]

adjust the denominators;

= [tex]\frac{3*8}{5*8} + \frac{6*5}{8*5}[/tex]

[tex]=\frac{24}{40} + \frac{30}{40} \\\\=\frac{24+30}{40} \\\\=\frac{54}{40} \\\\simplify\\\\=\frac{27}{20}[/tex]

The percent of calories from protein from one serving of the food is found as 15.88%.

A relative value representing the hundredth part of any quantity One percent (denoted 1%) is one hundredth part; thereby the, 100 percent describes the entire amount and 200 % identifies twice the given amount.

For the given information;

The total calories is 277.

Nutrients information in food.

Protein - 11g

Carbohydrate - 45g

Fat -  6g​

The protein contains 4 calories per gram.

Thus, 11 grams of protein contains 4×11 = 44 calories per grams.

Find the % content of protein out of 277 calories;

p% of 277 = 44

p% = (44×100)/277

p% = 15.88%.

Therefore, the percentage of protein contained in the serving food is 15.88%.

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The sales tax on this computer in 62 dollars and 93 cents

The given parameters

Price = $899

Tax rate = 7%

The sales tax on this computer in dollars and cents is calculated as

Sales tax = Price * Tax rate

This gives

Sales tax = $899 * 7%

Evaluate

Sales tax = $62.93

Hence, the sales tax on this computer in 62 dollars and 93 cents

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Step-by-step explanation:

Replace x with y and y with x.

Then, try to isolate the y.

x=12y+7

x-7=12y

(x-7)/12=y

f^-1(x)=(x-7)/12

Answer: x ≤ 0. Interval Notation: (-∞, 0]

The coordinate of point X such that the ratio of MX to XJ is 3:1 is 12

The coordinates are given as:

M = 2

J = 18

The ratio is given as:

Ratio = 3 : 1

The location of the point X is then calculated as:

X = Ratio * (J - M)

This gives

X = 3/(3 + 1) * (18 - 2)

Evaluate

X = 3/4* 16

This gives

X = 12

Hence, the coordinate of point X such that the ratio of MX to XJ is 3:1 is 12

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Step-by-step explanation:

show how to work out the question

[tex]i {}^{372} = 1 \\ i {}^{527 } = - i[/tex]

Step-by-step explanation:

Greetings !

Note that:-

[tex]i {}^{2n} = 1.\: if \: n \: is \: even \\ \: \: \: \: \: \: \: = - 1. \: if \: n \: is \: odd[/tex]

And also

[tex]i {}^{2n + 1} = i. \: if \: n \: is \: even \\ \: \: \: \: \: \: \: \: \: \: = - i.\: if \: n \: is \: dd[/tex]

Thus, remembering these general formula plug in values in the place of n and solve.

Therefore,

[tex]i {}^{2(186)} = i {}^{372} = 1[/tex]

where n is even thus its 1 from the above explanation

[tex]i {}^{2(263) + 1} = i {}^{527} = - i[/tex]

following the same procedure the values exceeds to be -i.

Hope it helps !!!

Answer:

Answer

Step-by-step explanation:

Answer times the power of infinity

The perimeter of the given rectangle is a 3.31 meter.

According to the statement

We have to find that the perimeter of rectangle.

So, For this purpose, we know that the

Perimeter is the distance around the edge of a shape.

From the given information:

The length of the tabletop is 1.83 meters and the width is 0.74 meter.

Then the formula to find the perimeter is a

P =l +2w

Here substitute the values then

P =l +2w

P = 1.83 +2*0.74

Now add the terms to get a perimeter of the rectangle.

Then

P = 1.83 +1.48

P = 3.31.

So, The perimeter of the given rectangle is a 3.31 meter.

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Answer:

10x + x^4/x-2

Step-by-step explanation:

Combine like terms

(10x + x^4)/(x-2)

The average rate of change of the function over the interval is -9.25

The given parameters are

h(x) = x^2 - 5x + 11

−8 ≤ x ≤ 4

Calculate h(4) and h(-8)

So, we have

h(4) = (4)^2 - 5(4) + 11 = 7

h(-8) = (-8)^2 - 5(-8) + 11 = 115

The average rate of change of the function over the interval is then calculated as

Rate = [h(4) - h(-8)]/[4 - -8]

This gives

Rate = [7 - 118/[12]

Evaluate

Rate = -9.25

Hence, the average rate of change of the function over the interval is -9.25

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Given the mass and volume of the sample, the density of the copper sample is approximately 8.91 g/cm².

The density of a substance is simply the mass of that substance per unit of its volume.

Density is expressed mathematically as;

Density = Mass / Volume.

Given the data in the question;

Plug the given values into the formula above and solve for density.

Density = Mass / Volume

Density = 15.6 g / 1.75 cm³

Density = 8.91 g/cm²

Given the mass and volume of the sample, the density of the copper sample is approximately 8.91 g/cm².

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enter the correct letters in the boxes on the left with the negative statements on the right

E    Apples make good pies      A  seven is not a prime number

F    the sun is hot today             B   a line does not contain at least two points

D    3+2=7                                   C a right angle does not measure < 90degre

C    a right angle measure < 90  D  3+2[tex]\neq[/tex]7

 A  seven is a prime number       E apples does not make good pies

 B   a line contain at least two points   F  the sun is not hot today

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The angles EFG and GFH are 71 and 109 degrees

The given parameters are:

EFG =2n + 25

GFH = 4n + 17

Linear pair angles are supplementary angles

So,we have

2n + 25 +4n + 17 = 180

Evaluate the like terms

6n= 138

Divide by 6

n = 23

Substitute n = 23 in EFG =2n + 25 and GFH = 4n + 17

EFG = 2 * 23 + 25 =71

GFH = 4 * 23 + 17 = 109

Hence, the angles EFG and GFH are 71 and 109 degrees

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Based on the given parameters, the numerical length of PT is 9 units

The given parameters are:

P is a point on ST such that P is between S and T.

SP = x + 3,

PT = 2x - 1

ST = 17

The statement "P is a point on ST such that P is between S and T" implies that

ST = SP + PT

Substitute the known values in the above equation

17 = x + 3 + 2x - 1

Evaluate the like terms

17 = 3x + 2

Add 2 to both sides of the equation

3x = 15

Divide both sides of the equation by 3

So, we have

x = 5

Substitute x = 5 in PT = 2x - 1

So, we have

PT = 2 x 5 - 1

Evaluate

PT = 9

Hence, the numerical length of PT is 9 units

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The value of y is am-z/7

The expression is given as follows

3y +z= am-4y

The first step is to collect the like terms in both sides, this way the numbers that both have y as their coefficient will be on the same side

3y + 4y= am-z

y(3+4)= am -z

7y= am-z

Divide both sides by the coefficient of y which is 7

7y/7= am-z/7

y= am-z/7

Hence the value of y in the expression is am-z/7

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Answer:

Step-by-step explanation:

you can't really solve for x because there is no equal sign to determine how much x needs to be in order to get the sum.

Answer: -12 7/24

Step-by-step explanation:

Convert the mixed numbers to fractions (59/8 and -5/3) then multiply across to get -295/24. Simplify for -12 7/24.

Hope this helps :)

Answer: decimal -12.29  fraction -295/24

Step-by-step explanation:

Answer:

Step-by-step explanation:

25. 5 < x < 7

Answer:

+ 12 yards

Step-by-step explanation:

8-3 = 5
5 + 12 - 5 = 12

Answer:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25

Answer:

Commutative property because it states that the numbers can be moved around or swapped from their position without making any difference to the answer.

well, we know it's a rectangle, so we know the opposite sides are perpendicular, so if we just get say the sides AD as its length and BA as its width, that'd give us its area, since it'll just be AD * BA.

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad D(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-4}) ~\hfill AD=\sqrt{(~~ -3- (-1)~~)^2 + (~~ -4- 4~~)^2} \\\\\\ ~\hfill AD=\sqrt{( -2)^2 + ( -8)^2}\implies \boxed{AD=\sqrt{68}} \\\\\\ B(\stackrel{x_1}{3}~,~\stackrel{y_1}{3})\qquad A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{4}) ~\hfill BA=\sqrt{(~~ -1- 3~~)^2 + (~~ 4- 3~~)^2}[/tex]

[tex]~\hfill BA=\sqrt{( -4)^2 + (1)^2} \implies \boxed{BA=3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Area}}{(\sqrt{68})(3)\implies (\sqrt{2^2\cdot 17})(3)}\implies (2\sqrt{17})( 3)\implies \LARGE \begin{array}{llll} 6\sqrt{17} \end{array}[/tex]

Answer: 0.05t ==> 1st blank

1 ==> 2nd blank

-0.1t+6 ==> 3rd blank

Step-by-step explanation:

The equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.

Roots are the points where the graph intercepts with the x-axis ( y = 0 ).

Given the roots in the question;

x = 2, -2, 3

Now, the root of x = 2 was found solving for x when x - (2) = y but y = 0.

Hence, (x - 2) is a factor.

Next, the root of x = -2 was found solving for x when x - (-2) = y but y = 0.

Hence, (x + 2) is a factor

And the root of x = 4 was found solving for x when x - (4) = y but y = 0.

Hence, (x + 2) is a factor

Now, combine all the factors into a single equation and simplify.

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

( x² + 2x - 2x - 4 )( x - 4) = 0

( x² - 4 )( x - 4) = 0

x( x² - 4 ) -4( x² - 4 ) = 0

x³ - 4x - 4x² + 16 = 0

x³ - 4x² - 4x + 16 = 0

x³ - 4x² - 4x + 16 = 0

Therefore, the equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.

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Answer:

DETERMINE COMMON FACTORS

Step-by-step explanation: