Evaluate each of the following expression giving the answer in scientific notation

Because some of the athletes participated in more than one event.

Answer:

Slope = 3500

Sarah's salary will increase by 3500 per year

Step-by-step explanation:

Given that Sarah's salary after working n years is given as :

S=90000+3500n

The equation given is similar to a linear equation :

y = bx + c ;

Where, b = slope of the linear equation

Therefore, relating the equation to that of a linear model ; the slope, b is equivalent to 3500 in Sarah's salary equation.

Slope is simply described as the rate of change, the change in y per unit change in x ;

Therefore, this means Sarah's salary will increase by 3500 per year

Answer:

10010110

Step-by-step explanation:

A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:

10000000

Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:

10010000

We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:

10010100

What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:

10010110

Answer:

$405

Step-by-step explanation:

Total hours = 4 hrs 25 min + 2 hrs 15 min = 6 hrs 40 min = 400 min

4 hrs 25 min = 265 minutes

2 hrs 15 min = 135 min

Donny's share = [tex]\frac{135}{400} of 1200[/tex]

                        [tex]=\frac{135}{400}*1200=135*3\\\\= 405[/tex]

Answer:

Step-by-step explanation:

1 OF 3OR5

Answer:

40

Step-by-step explanation:

The first step is to calculate the base area of the prism

= 15×30

= 450

The volume is then calculated as follows

= 450×h

= 450h

The capacity is 18 liters

= 18×1000

= 18,000

Therefore the height of the rectangular prism can be calculated as follows

450h= 18,000

h= 18,000/450

= 40

Hence the height is 40 cm

Answer:

40.2

Step-by-step explanation:

To better analyze this problem, we can first draw a picture. Looking at the one attached, we can see that the stake is represented by the point in the bottom right of the screen, and the kite is 45 meters away from it, representing the 45. Then, the height is 38, and this is directly above the 45 meters away from the stake.

This forms a right triangle, and we can use sohcahtoa to help use. As we don't have the hypotenuse, we can use tan. Tan(θ) = opposite/adjacent, or 38/45. Thus, arctan(38/45) = θ, and plugging that into a calculator, we get 40.2 as our answer

Answer:

Step-by-step explanation:

1) . .324, 972, 2916

2) ...2500, 12500, 62500

3). . 80, 160, 320

Answer:

√74

Step-by-step explanation:

49 + 25

if brainly deletes this answer, i swear this community is going down in the dumps

Answer:

[tex]\sqrt{74}[/tex] = 8.6

Step-by-step explanation:

use distance formula

points are (4,2) and (-3,-3)

d= [tex]\sqrt{(x_{2}-x_{1) ^{2} + (y_{2} -y_{1} )^{2} }[/tex]

substitute points into formula

Answer:

y = 3x - 7

Step-by-step explanation:

The line rises 3 in y for every run of 1 in x

slope = 3

The y-intercept

is -7

Therefor

y = 3x - 7

Answer:

40% profit

Step-by-step explanation:

There is a profit of $50.

If you were to find the percentage, you would divide 50 by 125. This would give you 0.4

Answer:

opsihsjijjakih

Step-by-step explanation:

jiompzjksuik

Answer:

3x+12

Step-by-step explanation:

-0.5x*2+4x+12

Multiply 0.5x*2=x

= -x+4x+12

Add similar elements -x+4x+12

= 3x+12

Answer:

mark me as a brainleast

Step-by-step explanation:

iam not undeerstand on your qiestion write it beautiful words

Answer:

number of students who like Athletics only = x = 10 students

number of students who like marshal arts only = 2x = 20 students

Step-by-step explanation:

In a class of 37 students, the number of students who like marshal arts only is

double than the number of students who like athletics only. If 3 students like both

and 4 like none of the games, find out how many students like:

i. Marshal arts

ii. Athletics​

Total students in the class = 37

number of students who like Athletics only = x

number of students who like marshal arts only = 2x

Number of students who like both = 3

Number of students who like none = 4

Total = athletics + marshal art + both + none

37 = x + 2x + 3 + 4

37 = 3x + 7

37 - 7 = 3x

30 = 3x

x = 30/3

x = 10

number of students who like Athletics only = x = 10 students

number of students who like marshal arts only = 2x

= 2(10)

= 20 students

Answer:

About 255

Step-by-step explanation:

$30 x 8.5= $225

Answer:

B) Unequal

Step-by-step explanation:

yun po yung sagot

p follow po at pa rate at heart

Answer:

Step-by-step explanation:

x * 18 = 113.4

x = 6.3

Answer:

56

Step-by-step explanation:

Answer:

Kate is 13years and 4 months old,I suggest.

Answer:

81

Step-by-step explanation:

the answer is 81, just out this in the solution

Answer:

81

Step-by-step explanation:

29-2=27

27*3=81

if we divide 81 by 3 we get 27 and 27 plus 2 is 29 so it is 81

Answer:

∠RST = ∠SRU because they are alternate angles.

Step-by-step explanation:

Hope it helps .

Answer:

53 1/3% for the first answer, and 33 1/3% increase for the second answer

Step-by-step explanation:

Ok, lets start up witht eh first question.

We need to find the percentage of studens that find math the be their favorite subject in elementary school.

We know that there are 15 kids in total.

We specificly see that 8 of those kids like math the most.

To find percentage, divide 8 by 15.

Using a calculator you should find 53 1/3% of the students found math to be their favorite subject.

Next we need to find the percentag eof change that history is over elementary school to high school.

This might sound confusing, but this is basically just a change of 3 students to 4 students.

To find percentage, just divide 3 by 4:

This gets you 33 1/3%

Hope this helps!

Answer: A. perpendicular

Step-by-step explanation: First, you have to determine the slope of both lines and you can do so using the slope formula: (y2 - y1)/(x2 - x1). You should get the slope -2/5 for the first line and 5/2 for the second. Because one line has a slope that is the negative reciprocal of the other, these lines are perpendicular.

Answer:

1) yes

2) no

Step-by-step explanation:

1)

[tex]\frac{1}{2} *\frac{2}{2}=\frac{2}{4}[/tex]

This is correct because 1 time 2 equals 2 and 2 times 2 equals 4.

2)

[tex]\frac{1}{2} * \frac{?}{?}= \frac{4}{6}[/tex]

[tex]\frac{1}{2} *\frac{4}{3} =\frac{4}{6}[/tex]

This is incorrect because the numerator multiplied is different from the denominator multiplied.

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

[tex]\frac{1}{2}[/tex] =  [tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{5}{10}[/tex] = [tex]\frac{6}{12}[/tex] ...

Sorry I didn't know how to explain that much but I hope you understand.

Answer:

Step-by-step explanation:

Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,

2j + 32 + 6j - 2 + 30 = 180 and

8j + 60 = 180 and

8j = 120 so

j = 15

Answer:

Step-by-step explanation:

According to exponent rules, when we multiply two power with the same base we ADD the exponents.

[tex]c^{6}*c^{4} = c^{6+4} = c^{10}[/tex]

Answer:

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

[tex]a=\pi r^2/2[/tex]

3.14 will be used for pi!

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

[tex]a=lw[/tex]

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

[tex]32/2=16[/tex]

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

[tex]\pi 16^2/2=401.92[/tex]

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

[tex]14*32=448.[/tex]

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

[tex]401.92+448[/tex]

[tex]=849.92[/tex]

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

Answer:

y = 3x - 1

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept