5.
2
C. Use real numbers to represent the following real-life situations.
1. A temperature of 8 degrees below zero
2. A gain of 6 kg in weight
3. A sea level
4. 50 off the original price
5. An additional of 3 points
6. A dropped of 8 in a heart rate
7. A plane ascends 1 000 ft.
8. Micah got a deduction of 2 points for her offense.
9. Daniel went down 4 floors of a building.
10. A slice of a cake that is divided into 8 equal slices.
​

Answer:

27

Step-by-step explanation:

(5+√2)²

you distribute the ² in the ()

so 5²+√2²

5²=25

√2²=2 because the √ and ² cancel each other out and you get 2

so now you have

25+2

which equals

27

Given expression:

             (5 + [tex]\sqrt{2}[/tex])²

Now let us solve this problem by simplifying it;

    (5 + [tex]\sqrt{2}[/tex])²:

   the power implies the expression in the bracket should be repeated twice:

        = (5 + [tex]\sqrt{2}[/tex])  (5 + [tex]\sqrt{2}[/tex])

  Then expand the bracket by distribution;

     =  (5 x 5) + 5([tex]\sqrt{2}[/tex]) + 5([tex]\sqrt{2}[/tex]) + 2

     = 25 + 10[tex]\sqrt{2}[/tex] + 2

     =  27 + 10[tex]\sqrt{2}[/tex]

Area of semicircle =

[tex] \frac{ {\pi \: r}^{2}}{2} [/tex]

Area of the given semicircle = 1232 cm^2

[tex] \frac{ {\pi \: r}^{2}}{2} = 1232 \\ = > {\pi \: r}^{2} =( 1232 \times 2) \\ = > \frac{22}{7} {r}^{2} = 2464 \\ = > {r}^{2} = ( \frac{2464 \times 7}{22} ) \\ = > {r}^{2} = 784 \\ = > r = \sqrt{784} \\ = > r = 28cm[/tex]

[tex]d = r \times 2 \\ d = (28 \times 2 )cm\\ d = 56cm[/tex]

Hence, the diameter of the circle is 56cm

Answer:

Inverse

Step-by-step explanation:

I would use the inverse. Hope this helps!

Answer:

b the exact coordinates

Answer:

The answer to this is agree . Hope it helps.

Answer:

All Real Numbers

Step-by-step explanation:

[tex]\text{Some equations, such as } 2x=2x \text{ have \bf all real numbers }\text{ as the solution.}[/tex]

The equation has infinity solutions. So, in this question as[tex]x\in \mathbb{R} \implies Dom(f)=(-\infty, \infty)=\mathbb{R}[/tex]

Just considering the problem as a function.

Answer:

$3,955

Step-by-step explanation:

Given that:

Initial deposit = $3500

Simple rate of interest = $3.25%

Number of years = 4

Simple interest = (principal * rate * time)

Principal = Initial deposit = $3500

Interest = $3500 * 3.25% * 4

Simple Interest = $455

Amount that will be in account after 4 years :

$3500 + $455 =$3955

Answer:

3/9 or 1/3

Step-by-step explanation:

change in y over change in x is the slope

youre going up 3 and right 9, so 3/9 which simplifies to 1/3

Complete question :

Michael took 12 tests in his math class. his lowest score was 78. his highest score was 98. on the 13th test, he earned a 64. put a check in the correct box to indicate whether the value of each statistic below for his test scores increased, decreased, or cannot be determined when the last score was added.

1. Standard deviation 11) Median 111) Mean

Answer:

Standard deviation - increased

Median - cannot be determined

Mean - decrease

Step-by-step explanation:

The standard deviation will increase because the new (13th) test score does not fall within the range (lowest and highest) of the 12 previous test scores and will hence further increase the variability of the s ires measured

The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.

The mean value will decrease further because, when a score (64) lower that the previously recorded least score (78) is recorded and then the sum is recalculated and average taken. This low new score will cause the new to decrease further than previously recorded.

The value of the mean decreases, the median cannot be predicted, and the value of the standard deviation increases.

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

Michael to 12 tests in his math class.

His lowest test score was 78.

His highest test score was 98.

On the 13th Test, he earns a 64.

Then the mean will decrease because he earns a 64 on the 13th test. That is lower than his lowest score.

The standard deviation will increase because the gap between the mean and 64 will increase.

The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.

More about the statistics link is given below.

https://brainly.com/question/10951564

Answer:

1.6

2.12

3.18

4.7.92

5.40

6.20

7.18

8.8

9.14

hope this helps

please mark as brainliest!!!

Step-by-step explanation:

Answer:

Domain and Range are all real number

Step-by-step explanation:

Answer is above

Answer:

7

Step-by-step explanation:

2x+10+11+(x+2)+(3x-2)=63

2(7)+10+11+(7+2)+(3(7)-2)=63

x=7

7 is the value of x

What are sides of a pentagon with different sides ?

If the sides of a pentagon are not equal in measure, it is termed as an irregular pentagon. In this case, the perimeter of the pentagon can be calculated by using the basic formula, Perimeter = sum of its sides.

Given,

side 1 = 2x

side 2 = 10

side 3 = x+2

side 4 = 11

side 5 = 3x-2

Sum of all the sides of the pentagon,

2x+10+(x+2)+11+(3x-2)=63

2x+10+x+2+11+3x-2=63

6x+21=63

6x=63-21

6x=42

x=42/6

x=7

Read more about pentagon here :

https://brainly.in/question/17054992

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Answer:

x = 31

Step-by-step explanation:

I will make the explanation easy for you to understand.

Step 1: Subtract 12x from both sides.

13x − 15 − 12x = 12x + 16 − 12x

x − 15 = 16

Step 2: Add 15 to both sides.

x − 15 + 15 = 16 + 15

x = 31

Hope it helps!!!

Answer:

we have the width is 8 cm and the diagonal line is 17 cm so to get the length you're going to use Pythagoras theorem so 8 centimetres will be represented by a 17cm will be represented by c then length will be represented by b so b squared is equals to c squared minus a squared say 17 squared - 8 squared 17 squared is 289 while 8 squared is 64 the result will be 225 so b squared is equals to 225 to get b we will get the square root so b is equals to 15 so our length is 15 the area is equals to length x width so 15 * 8 you get 120 square centimetres

120 square centimeters is the area of rectangle FGHK.

Area of a rectangle (A) is the product of its length (l) and width (w).

here, we have,

from the given figure,

we have the width is 8 cm and the diagonal line is 17 cm

so to get the length you're going to use Pythagoras theorem

so 8 centimeters will be represented by a

17cm will be represented by c

then length will be represented by b

so b squared is equals to c squared minus a squared

say 17 squared - 8 squared

17 squared is 289 while 8 squared is 64

the result will be 225

so b squared is equals to 225

to get b we will get the square root

so b is equals to 15

so our length is 15

the area is equals to length x width

so 15 * 8

you get 120 square centimeters.

hence, 120 square centimeters is the area of rectangle FGHK.

To learn more on Area click:

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Answer:

C I am pretty sure.

Step-by-step explanation:

For C, we can alter the equation to be 5 - 9 > 2x or -2 > x which satisfies the graph above. Similarly, we can alter the second equation to be 3x ≥ -3 or x ≥ -1 which again is true from the graph above.

Answer:

6

Step-by-step explanation:

The required value of x is 3 for the given trapezoid.

A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.

Given that EF and HG are the bases and J and K are the midpoints of the legs, we can use the midsegment theorem which states that:

The segment connecting the midpoints of the legs of a trapezoid is parallel to the bases and is equal to half the length of the bases.

We can use this theorem to write the equation:

JK = (EF+HG)/2

Now we are given that:

EF=3x+2 , HG=7x−2 , and JK=15

So we can substitute these values in the equation:

15 = (3x+2+7x-2)/2

15 = (10x)/2

15 = 5x

x = 3

Thus, the required value of x is 3.

Learn more about the trapezoid here :

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Answer:

bro how u have 6.5 jars and how someone take away 1.684 jars???? this dont make no sense

Step-by-step explanation:

4.816 is the answer but i wouldnt know how that would be possible

Answer:

The answer is 5/25 you just switch it

Answer:

number is 5

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex] , thus

n - [tex]\frac{1}{n}[/tex] = [tex]\frac{24}{5}[/tex]

Multiply through by 5n to clear the fractions

5n² - 5 = 24n ( subtract 24n from both sides )

5n² - 24n - 5 = 0 ← in standard form

(n - 5)(5n + 1) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 5 = 0 ⇒ n = 5

5n + 1 = 0 ⇒ 5n = - 1 ⇒ n = - [tex]\frac{1}{5}[/tex]

However, n > 1 , thus n = 5

That is the number is 5

Answer:

156 miles

Step-by-step explanation:

155.79-16.95=138.84

138.84/0.89=156

Answer:

98/9=10.888889

Step-by-step explanation: hope that helps

7/1/9/14

=(7/1)(14/9)

=(7)(14)/(1)(9)

= 98/9

Answer:

im going to have fun with the fam and  shifted one unit right and 5 units up

Step-by-step explanation:

Answer:

Me nether

Step-by-step explanat

Shifed 1 unit left and then 5 units up

We can tell that the whole L shaped angle is 90 degrees because it has the little box in the corner. Now, the 90 degree angle is split into two parts with that line coming from the box. Those two parts of the whole 90 degree angle add up to 90 degrees.

90 = 4v + 2 + 9v - 3

Now, let's solve for v. Combine like terms.

90 = 13v - 1

Add 1 to both sides.

91 = 13v

Divide both sides by 13

7 = v

Answer:

calculator soup .com

Step-by-step explanation:

Answer:

x = 3

z = (-21)/2

x = 9

x = 1/7

Step-by-step explanation:

Solve for x:

6 x - 5 = 2 x + 7

Subtract 2 x from both sides:

(6 x - 2 x) - 5 = (2 x - 2 x) + 7

6 x - 2 x = 4 x:

4 x - 5 = (2 x - 2 x) + 7

2 x - 2 x = 0:

4 x - 5 = 7

Add 5 to both sides:

4 x + (5 - 5) = 5 + 7

5 - 5 = 0:

4 x = 7 + 5

7 + 5 = 12:

4 x = 12

Divide both sides of 4 x = 12 by 4:

(4 x)/4 = 12/4

4/4 = 1:

x = 12/4

The gcd of 12 and 4 is 4, so 12/4 = (4×3)/(4×1) = 4/4×3 = 3:

Answer: x = 3

____________________________________

Solve for z:

3 z - 2 = 5 z + 19

Subtract 5 z from both sides:

(3 z - 5 z) - 2 = (5 z - 5 z) + 19

3 z - 5 z = -2 z:

-2 z - 2 = (5 z - 5 z) + 19

5 z - 5 z = 0:

-2 z - 2 = 19

Add 2 to both sides:

(2 - 2) - 2 z = 2 + 19

2 - 2 = 0:

-2 z = 19 + 2

19 + 2 = 21:

-2 z = 21

Divide both sides of -2 z = 21 by -2:

(-2 z)/(-2) = 21/(-2)

(-2)/(-2) = 1:

z = 21/(-2)

Multiply numerator and denominator of 21/(-2) by -1:

Answer: z = (-21)/2

________________________________________

Solve for x:

5 x + 2 x - 15 = 4 x + 12

Grouping like terms, 5 x + 2 x - 15 = (5 x + 2 x) - 15:

(5 x + 2 x) - 15 = 4 x + 12

5 x + 2 x = 7 x:

7 x - 15 = 4 x + 12

Subtract 4 x from both sides:

(7 x - 4 x) - 15 = (4 x - 4 x) + 12

7 x - 4 x = 3 x:

3 x - 15 = (4 x - 4 x) + 12

4 x - 4 x = 0:

3 x - 15 = 12

Add 15 to both sides:

3 x + (15 - 15) = 15 + 12

15 - 15 = 0:

3 x = 12 + 15

12 + 15 = 27:

3 x = 27

Divide both sides of 3 x = 27 by 3:

(3 x)/3 = 27/3

3/3 = 1:

x = 27/3

The gcd of 27 and 3 is 3, so 27/3 = (3×9)/(3×1) = 3/3×9 = 9:

Answer: x = 9

__________________________________________

Solve for x:

35 x + 2 = 7

Subtract 2 from both sides:

35 x + (2 - 2) = 7 - 2

2 - 2 = 0:

35 x = 7 - 2

7 - 2 = 5:

35 x = 5

Divide both sides of 35 x = 5 by 35:

(35 x)/35 = 5/35

35/35 = 1:

x = 5/35

The gcd of 5 and 35 is 5, so 5/35 = (5×1)/(5×7) = 5/5×1/7 = 1/7:

Answer: x = 1/7

Answer:

C

Step-by-step explanation:

Answer:

length of each side is 2 metres

Step-by-step explanation:

square area = b^2

4 square m = b^2

square root of 4 = b

therfore b = 2

Answer:

10:15

Step-by-step explanation: