Evaluate the equation below

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 10¹⁵/10⁴ equals 10¹¹.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 10¹⁵/10⁴ can be simplified as,

[tex]\dfrac{10^{15}}{10^4}\\\\= 10^{15} \cdot 10^{-4}\\\\= 10^{15-4}\\\\=10^{11}[/tex]

Hence, the value of the expression 10¹⁵/10⁴ equals 10¹¹.

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The parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

On a coordinate plane, a parent function starts at (0, -1) and then curves up into quadrant 1 and approaches y = 1. Thus, the function of this curve is,

y=logx

A transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6.

y=logx +5

Thus, the parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.

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Answer:

yeah its a

Step-by-step explanation:

yw

Answer:

Step-by-step explanation:

Average rate of change within an interval is the slope of the endpoints.

The endpoints are:

The slope is

Correct choice is C

Answer: -3

--

To find the Average rate of change within an interval use the slope of the endpoints.

(- 1, 6) and (0, 3)

The slope is

[tex]\frac{3-6}{0-(-1)}=\frac{-3}{1}=-3[/tex]

Hope this helps!

Answer:

m∠K = 36°

m∠L = 54°

m∠M = 90°

Step-by-step explanation:

         A triangle's angles add up to 180 degrees. We will add together all the angles and set them equal to 180. Then, we will solve for x. Lastly, we will solve for the angle measurements.

-> The little "box" in angle M means that it is equal to 90°

90° + (2x + 42)° + (4x + 12)° = 180°

90° + 42° + 12° + 2x° + 4x°= 180°

144° + 6x°= 180°

6x° = 36°

x = 6°

[m∠K]

4x + 12

4(6) + 12

36°

[m∠L]

2x + 42

2(6) + 42

54°

Answer:

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Answer:

3/10

Step-by-step explanation:

Decimals and fractions are similar 4/5 is 0.8 and 1/2 is 0.5 The F has to be 0.3 to make a 4/5. 0.3 in fraction is 3/10

Answer:

a. (2x - 3)(x - 4)

b. 17 m, 6 m

c. 46 m

Step-by-step explanation:

a.

2x² -  11x + 12 = (2x - 3)(x - 4)

b.

2x - 3 = 2(10) - 3 = 17

x - 4 = 10 - 4 = 6

c.

P = 2L + 2W = 2(17) + 2(6) = 46

Answer:

it has to be 7 days because the other degrees are higher than 84.

Step-by-step explanation:

80 - 82 = 7 days

Answer:

x=38 degrees

Step-by-step explanation:

Vertical angles are congruent. In the image, angle x is vertical to the angle that is given. Therefore, x=38 degrees

The probability that the flight would leave on time when it is not raining is: 0.522

Probability is the likelihood of an event happening or not.

Analysis:

pr( it will rain) = 0.18

Pr( it will not rain) = 1 - 0.18 = 0.82

Pr ( flight will be delayed) = 0.14

Pr( it will not be delayed) = 1 - 0.14 = 0.86

Pr( it will not rain and flight would leave early) = 0.74

Pr( flight leave early when not raining) = pr( it willnot rain) x Pr( it will not be delayed) x Pr( it will not rain and flight leave on time) 0.82 x 0.86 x 0.74 = 0.522

In conclusion, the probability that flight would leave on time when it is not raining is 0.522

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median = the middle number {always remember this}.

To find the median of a set of numbers we arrange that set of numbers either in ascending order (smallest to biggest value) or in descending order ( biggest to smallest value).

so we are given :

20, 19, 13 , 23, 16, 15 , 17, 17, 15 , 15, 22, 19, .

we rearrange in ascending order (I chose ascending order).

Soo...

13, 15, 15, 15, 16, 17, 17 , 19, 19, 20, 22, 23.

so we cancel out (we cancel out left number, right number)

I mean

cancel out 13, cancel out 23

cancel out 15, cancel out 22

cancel out 15, cancel out 20 and so on.....

after that we will be left with 2 numbers which are 17 and 17.

NOTE: ( if we get 2 numbers instead of 1, then we add those 2 numbers and divide by 2)

so...

17 + 17 = 34

34/2 = 17.

the median of the set of numbers is equal to 17.

Hope this helps.

Good luck ✅.

Answer:

y=3x+7

Step-by-step explanation:

take two points, (1,13) (2,19)

subtract using slope formula

19-13 2-1= 6/1 -> 6-> 3

find your y intercept (b) by using the first term in the 7 row (7)

Answer:

y = 3x +

Step-by-step explanation:

The equation of the line is given by:

----------------------------

The equation of a line, in slope-intercept formula, has the following format:

In which

m is the slope, that is, how much y changes when x changes by 1.

b is the y-intercept, that is, the value of y when x = 0.

----------------------------

Given two points (x,y), the slope is the change in y divided by the change in x.

We have points (-1, -1) and (3,11). Thus:

Then

----------------------------

Point (-1,-1) means that when , and we use this to find b.

Thus

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Answer:

154

Step-by-step explanation:

130 + 24 = 154

Answer:

[tex]\huge\boxed{\sf 2.998 \times 10^{10}}[/tex]

Step-by-step explanation:

Given number:

29,980,000,000

Rules:

The number will become:

2.998 × 10¹⁰

[tex]\rule[225]{225}{2}[/tex]

Answer:

B. 2.998 x 10¹⁰

Step-by-step explanation:

Given :

Steps in solving :

Solving :

Answer:

(b)  33919

(c)  8 ¹/₃

Step-by-step explanation:

⇒ 317 × 107 = (300 + 10 + 7)(100 + 7)

                    = 300(100 + 7) + 10(100 + 7) + 7(100 + 7)

                    = 30000 + 2100 + 1000 + 70 + 700 + 49

                    = 30000 + 2000 + 100 + 1000 + 70 + 700 + 40 + 9

                    = 30000 + 2000 + 1000+ 700 + 100 + 70 + 40 + 9

                    = 30000 + 3000 + 800 + 110 + 9

                    = 30000 + 3000 + 800 + 100 + 10 + 9

                    = 30000 + 3000 + 900 + 10 + 9

                    = 33919

[tex]\begin{aligned} 5\frac{2}{3}+3\frac{1}{2}-\frac{5}{6}&=\dfrac{5 \times3+2}{3}+\dfrac{3 \times 2+1}{2}-\dfrac{5}{6}\\\\&=\dfrac{17}{3}+\dfrac{7}{2}-\dfrac{5}{6}\\\\& =\dfrac{17 \times 2}{3\times 2}+\dfrac{7\times 3}{2\times 3}-\dfrac{5}{6}\\\\ & = \dfrac{34}{6}+\dfrac{21}{6}-\dfrac{5}{6}\\\\ & = \dfrac{34+21-5}{6}\\\\ & = \dfrac{50}{6}\\\\&=8\frac{1}{3}\end{aligned}[/tex]

If the distance between the origin and the points on the path of rotation is equal, the origin will be the center of rotation for any system.

Center of rotation is the point about which the rotation takes place. this point is equidistant from all points in the path of rotation.

We are asked to verify that the center of rotation is the origin.

In this case, the center of rotation will be equidistant from all the points in the locus of rotation. So, the distance between the origin and any point on the path of rotation will be equal.

Thus, if the distance between the origin and the points on the path of rotation is equal, origin will be the center of rotation for any system.

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The given equation is a quadratic equation with a degree of 2 and leading coefficient of 1. The solution to the given quadratic equation are -20 and 20

The given equation is a quadratic equation with a degree of 2 and leading coefficient of 1.

Given the expression

x^2 - 1 = 399

Add 1 to both sides

x^2 = 399 + 1

x^2. = 400

Take the square root of both sides

x = ±√400
x = ±20

Hence the solution to the given quadratic equation are -20 and 20

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Work Shown:

Volume = length*width*height

Volume = 3*7*5

Volume = 105 cubic feet

length × breadth × height

7 × 3 × 5

105 cubic feet

hope it helps...!!!

From the table we can conclude that after 2 minutes the height of the water is increased by 4.

Example: In minute 2 it was 8 inches, in minute 4 it was 12 inches. (12-8=4)

This means that if the height of the water is increased by 4 inches for 2 minutes, then for 1 minute is increased 4/2=2 inches.

The following statement best describes how the slope relates to the height of the water in the pool:

The height of the water increases 2 inches per minute.

Answer:

isosceles triangle

Answer:

x = 17

Step-by-step explanation:

4x + 7 = 75         (as the 2 angles are interior alternate angles)

4x = 75 - 7 = 68

x = 68/4 = 17

Answer:

x = 17

Step-by-step explanation:

4x + 7 = 75         (as the 2 angles are interior alternate angles)

4x = 75 - 7 = 68

x = 68/4 = 17

answer key

78.4

Step-by-step explanation:

Multiply 7 x 4 =28

Then Multiply  28 x 2.8 = 78.4

That's how you get your answer ∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞  hope that helps out

Answer:

less valuable

Step-by-step explanation:

it will be reduced when time goes by

Rand will deprecate

Answer: Skelatal and respiratory because bones show up all over the human body.

Step-by-step explanation:

Answer:

C. Nervous system / Circulatory system

Answer: please mark as brainliest

Step-by-step explanation: a) xz+1 = 2 x 5 + 1 = 11

b) 4x+y = 4 x 2 + (-1) = 7

c) 2 - 2 x -1 x 5= 12

d) 2(-1 + 5) = 2 x 4= 8

e) 2sq - 3 x 5= 4 - 15= -11

Answer:

last option is correct answer

Step-by-step explanation:

[tex]perimeter = 2(l + w) \\ = 2( \frac{5x + 10}{2x + 5} + \frac{x - 2}{2x + 5} ) \\ = 2( \frac{5x + 10 + x - 2}{2x + 5} ) \\ = 2( \frac{6x + 8}{2x + 5} ) \\ = \frac{12x + 16}{2x + 16} [/tex]