When writing a number in scientific notation, why is it always written "X 10 to a power"?

Answer:

9978

Step-by-step explanation:

10000 - 22 = 9978

9978 is the answer

Answer: 9978

Step-by-step explanation:

Stack the numbers up like this 10000

                                                          22

     borrow from the one make the zero a ten, and then borrow from that to make the next one and make it a nine and then do it to the last one and subtract. Hope this makes sense

Answer:

Hello! answer: x = 3

each rectangle = 48 Hope that helps!

Answer:

m(arc RT) = 148°

Step-by-step explanation:

From the picture attached,

Segment RT is a chord and segment RS is a tangent of a circle O meeting at R.

By the property of tangent chord angle,

"Angle formed by an intersecting tangent and chord measures half of the intercepted minor arc"

m(∠SRT) = [tex]\frac{1}{2}(\text{minor arc RT})[/tex]

[tex]74^0=\frac{1}{2}m(RT)[/tex]

[tex]m(\text{arc RT)}=2(74^0)[/tex]

                 [tex]=148^0[/tex]

Therefore, measure of minor arc RT is 148°.

Answer:

its 80ft

Step-by-step explanation:

Answer:

a season your welcome: ]

Answer:

Seasons shouldn't be capitalized

Answer:

n= 36

Step-by-step explanation:

18=n-18 (add 18 to both sides of the equation, 18 and -18 cancel out)

36=n

The solution for n in equation 18 = n - 18 is 36.

To solve the equation 18 = n - 18, we need to isolate the variable n. Here's how:

Start with the equation: 18 = n - 18.

Add 18 to both sides of the equation to move the constant term to the other side: 18 + 18 = n - 18 + 18.

Simplify 36 = n.

Therefore, the solution for n is 36.

By adding 18 to both sides of the equation, we eliminate the -18 on the right side, leaving n isolated on the right side. Thus, the value of n that satisfies the equation is 36.

To check the solution, we substitute n = 36 back into the original equation: 18 = 36 - 18. Simplifying this equation results in 18 = 18, which confirms that n = 36 is indeed the solution to the equation.

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Answer:

2000

Step-by-step explanation:

1 kilometer is = 1000 meters

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Answer:

0.07

Step-by-step explanation:

lets make a chart first

           small | medium | large

hot     |   5      |     48     |    22

cold   |   8      |       1      |     5

1. add all the hot drinks

5+48+22=75

2. find 5/75,

5/75=0.0666666

Answer:

7

Step-by-step explanation:

a^2 + b^ = c^2

x^2 + 24^2 = 26^2

x^2 = 100

x=10

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Answer:

x = 10

Step-by-step explanation:

This is a right triangle problem

use the Pythagorean Theorem

a^2 + b^2 = c^2

x^2 + 24^2 = 26^2

x^2 + 576 = 676

Subtract 576 from both sides

x^2 = 100

Take the square root of both sides

x = 10

Square bases is not an attribute of a right rectangular prism. Option D

A right rectangular prism can be described as a three-dimensional solid shape with 6 faces, 12 edges, and 8 vertices.

It is sometimes called a cuboid.

All the faces of the right rectangular prism are rectangular in shape.

Examples of  right rectangular prisms are books, bricks and aquarium.

Some properties of a right rectangular prism include;

These prisms have no square base(s)

Hence, the right option is square bases.

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Answer:

a = 3

Step-by-step explanation:

The point (- 5, 7a ) satisfies the equation

Substitute the coordinate points into the equation and solve for a

7a = 7(- 5) + 56 = - 35 + 56 = 21 ( divide both sides by 7 )

a = 3

Answer:

key note is that when the angles are added it equals 180 degrees

a) The average rate of change of a function over an interval is the change in the function's output (f(b) - f(a)) divided by the change in the function's input (b - a). So, to find the average rate of change of f over the interval -4 <= x <= 3, we can use the formula:

(f(3) - f(-4)) / (3 - (-4)) = (sqrt(25 - 9) - sqrt(25 - 16)) / (3 - (-4)) = (-2sqrt(7) + 4sqrt(3)) / 7

b) To find the derivative of f(x), we need to use the power rule and the chain rule. The power rule states that the derivative of x^n is nx^(n-1), and the chain rule states that the derivative of f(g(x)) is f'(g(x)) * g'(x).

So, the derivative of f(x) = sqrt 25 - x^2 is:

-2x

c) To find the equation of the line tangent to the graph of f at x = -3, we need to use the point-slope form of a line, which is:

y - y1 = m(x - x1)

where m is the slope of the line (which is f'(-3) = -6), (x1, y1) is the point on the graph where the line touches (which is (-3, f(-3)) = (-3, sqrt(25 - 9) = 2sqrt(7))

so we have: y - 2sqrt(7) = -6(x + 3)

d) To check if g(x) is continuous at x = -3, we need to check if the limit of g(x) as x approaches -3 exists and is equal to g(-3).

Since g(x) = f(x) for -5 <= x <= -3 and g(x) = x + 7 for -3 <= x <= 5, we have:

g(-3) = f(-3) = sqrt(25 - 9) = 2sqrt(7)

and the limit of g(x) as x approaches -3 is:

lim x->-3 g(x) = lim x->-3 (x + 7) = -3 + 7 = 4

Since g(-3) = 2sqrt(7) and lim x->-3 g(x) = 4, g(x) is not continuous at x = -3.

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a) The given relation is function.

b) The function is, $x = 18.5 y

c) The value of (f+ g)(9) is 5.

d) The he original amount of her loan is 6000.

A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.

Given:

a) The given relation is function because is input have have output, no two outputs have same input.

b) After 8 hours, a person earned $148 in wages.

So, the unit rate change = 148/ 8

                                        = 18.5

So, if y represents the number of hour and $x the wages, then the function is $x = 18.5 y.

c)  Let f(x)=x and g(x)=x-13

(f+ g)(9)

= (x+  x-13) (9)

= 2x -13

= 2(9)- 13

= 5

d) The modeled function. P(m) = 6000 - 300m.

so, the original amount of her loan is 6000.

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Answer:

g(f(x)) means that the x of the g function is the f(x) function, if that makes sense.

so you do 8(x-10)-5

8x-80-5

8x-85

hope that answers your question

Don't hesitate to comment if you don't understand something.

Step-by-step explanation:

Answer:

z ∗ = 2.326

Step-by-step explanation:

The percent of broken bulb will be 5%.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

He takes a random sample of 500 bulbs.

He finds that 25 bulbs arrived broken.

The percentage of broken bulb will be,

= (25/500) * 100

= 0.05 * 100

= 5%

Thus, 5 percent of bulb are broken.

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Answer:

Axis of Symmetry = -4

Vertex = (-4,7)

Step-by-step explanation:

Answer: c 1/6

Step-by-step explanation

Becouse it has six numbers so that means that 1 is a factor so taking in every other number the answer should be 1/6

Answer:

Average rate of change

=

26.5

Explanation:

Use the slope formula to find average rate of change:

m

=

y

2

−

y

1

x

2

−

x

1

To use the slope formula, you need 2 points on the curve - we only have to x values, so we need to find f(8) and f(10).

f

(

8

)

=

92

f

(

10

)

=

145

These means are points are

(

x

1

,

y

1

)

=

(

8

,

92

)

and

(

x

2

,

y

2

)

=

(

10

,

145

)

.

m

=

145

−

92

10

−

8

m

=

53

2

m

=

26.5

Step-by-step explanation:

The average rate of change on the interval from 0 to 10 is 30

The function is given as:

f(x)=3x^2-8

The interval is given as:

0 to 10

Calculate f(0) and f(10)

f(0)=3 *(0)^2 -8

f(0) = -8

f(10)=3 *(10)^2 -8

f(10) = 292

The average rate of change is then calculated as:

Rate = (f(10) - f(0))/(10 - 0)

This gives

Rate = (292 +8 )/(10 - 0)

Evaluate

Rate = 30

Hence, the average rate of change on the interval from 0 to 10 is 30

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PLEASE MARK BRAINLIEST

Find the percent decrease from 133 to 120. Round your answer to the nearest tenth

1. Subtract  

133-120= 13

2. Find

13/133 x 100

1300/133

= 9.77443609

3. Round

9.77 rounded is 9.8

Answer: 9.8%

Answer:

9.8 is your answer

the percentage decrease from 133 to 120 is 9.7744

but rounded to the nearest tenth is 9.8

Answer:22 days

Step-by-step explanation: since 6days are each given 5ml spoons of medicine three times a day,

Therefore consumption of each day is 90 ml and we have 2000 ml(2litre=2000 ml)

so, 2000/90 = we will get number of days

therefore 22.22 days

Which emplies 22 days.

Answer:

114.12

Step-by-step explanation:

Answer:

in step 2, she calculated 2.5^2 incorrectly.

Step-by-step explanation:

its right tho

Answer:

b.

Source:

trust me bro

Answer:

[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]

Step-by-step explanation:

The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].

[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]

We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].

Now add these equations together to get our equation.

[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]

Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].

=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]

5

9x⁵=5

5y³=3

so 5>3=5

pls mark me as brainlist

Answer:

tree = 8

snowman = 1

deer = 4

snowflake = 4

Step-by-step explanation:

say t = tree, s = snowman, d = deer, f = snowflake

1. For 2d + f, since you know d is equal to f, replace the snowflake with a deer, turning the equation into 3d = 12. To find the value of d divide by 3 on both sides. This will result in 4. So, the value of deer = 4.

2. Now, find the value of the snowman using the value of the deer.

4-3 = 1. This means the value of the snowman = 1.

3. Plug in the value of the snowman into 2t + s = 17.

     2t + 1 = 17

  Subtract on both sides to get 2t by itself and then simplify

      2t = 17 -1 --> 2t = 16

  Divide by 2 on both sides to find the value of the tree

      2t/2 = 16/2 --> t = 8

Answer:

A

Step-by-step explanation:

√11²+13² is the answer due to pythagoras theorem. You imagine the line between them is the hypotenuse for the right angled triangle so it’s A as 121 plus 169 is 290

Answer:

24(w+2)

Step-by-step explanation:

You must look for a common denominator between the two parts of the expression. In this case, 48 is divisible by 24. 48/24 = 2. So you can now move the common denominator out to the front. Then use this common denominator and divide each term by it. 24w/24 = w and 48/24 = 2. Therefore, your expression factored is 24 (w+2)