Express your answer in scientific notation. 4.9 x 10^4 - 8200

Answer:

See explanation

Step-by-step explanation:

A circle is a figure where all of the points on its graph are equidistant from a single, central point. You can define a circle in a plane with the formula (x-h)^2+(y-k)^2=r^2, where h represents the x coordinate of the center, k represents the y coordinate, and r represents the radius. Hope this helps, and feel free to ask for more clarification!

A circle is the set of all points in a plane that are a fixed distance, called the radius, from a fixed point, called the center.

In addition, all radii of a given circle are congruent.

Answer:

Q matches to a and P matches to b

Step-by-step explanation:

This is a volume question so we can use the volume of a cylinder to see which one corresponds to what.  Volume of a cylinder is [tex]\pi[/tex][tex]r^{2}[/tex]h.  We know that the heights of the cylinders are the same since the diagram says so.  We also know pi is the same since thats a constant.  The only thing thats different is the radius (as you can see radius of P is bigger than Q).  If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q.  More volume means more time to fill up.  Since Q has less volume, it will take less time to fill up.  So now we look at the graph.  A shows that the height of water increases at a faster rate than that of B.  This is because there is less volume in that container (less volume=less time to fill up).  Therefore a matches to Q and therefore b matches to P

Answer:

x=-4

x=-5

Step-by-step explanation:

Answer:

-4 or -5

Step-by-step explanation:

Well, you have to first understand variables a, b, and c. A in this equation is 1, b is 9, and c is 20. Then you plug those into -b ± sqrt (b^2-4ac)/2a and find that the discriminant, or what is under the square root, is one. Your two roots will be -4 and -5.

Answer:28

Step-by-step explanation:

3.5 times 8 is 28

Find attached to this question, the diagram of the prism

Answer:

740m

Step-by-step explanation:

The first step determine what type of Prism we are trying to solve. Looking at the diagram, the prism is a triangular prism.

The surface area of a triangular prism is calculated as

Surface Area = bh + 2ls + lb

Where

b = base = 16m

h = height = 15m

l = length = 10m

s = side edge or length = 17m

Surface Area of the triangular prism = (16×15)m + 2(10×17)m + (10×16)m +

= 740m

Answer:

740m

Step-by-step explanation:

Answer:

Step-by-step explanation:

l = 12 inches

w = 7 inches

h = 4.5 inches

Surface area = lw + 2wh + 2hl

                     = 12*7 + 2*7*4.5 + 2*4.5*12

                    = 84 + 63 + 108

                    = 255 square inches

If it is a closed box, surface area = 2*(lw +wh + hl)

As it is open, surface area = lw + 2wh + 2hl

Down part of the box : length *width

Upper part of the box = length*width

So, for closed box, 2lw

For open box , lw

Answer:

B

Step-by-step explanation:

edg 2021

Answer:

The range of x values for which y is unique is 2·π

Step-by-step explanation:

For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x

Hence, f(x) = cos(x - π/4) gives

the x intercept at two penultimate points of the graph of cos(x - π/4) are;

x = 2.36, and x = 8.64

x = 3/4·π, and x = 2.75·π = [tex]2\tfrac{3}{4}\cdot \pi[/tex]

Hence the range of x values for which y is unique is presented as follows

[tex]2\tfrac{3}{4}\cdot \pi - \frac{3}{4}\cdot \pi = 2}\cdot \pi[/tex]

The range of x values for which y is unique = 2·π.

Answer:

10 sqrt(3) + 2 sqrt(5)

Step-by-step explanation:

2√75+ √20

We know sqrt(a*b) = sqrt(a) sqrt(b)

2 sqrt(25*3) + sqrt(4*5)

2 sqrt(25)sqrt(3) + sqrt(4) sqrt(5)

2 * 5sqrt(3) + 2 sqrt(5)

10 sqrt(3) + 2 sqrt(5)

Answer:

Step-by-step explanation:

Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

This relationship is:  

This is not proportional.

Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

This relationship is:  

This is proportional.

So the answer is:

Answer:

It could be 2:5 or 6pi:15pi

Step-by-step explanation:

If you write the ratio of the surface area as a fraction, you would get [tex]\frac{20\pi *yd^{2} }{125\pi *yd^{2} }[/tex]. Simplifying it would leave [tex]\frac{4}{25}[/tex]. But this is NOT the answer because that is the ratio of the surface area. You have to square root it to find the scale factor. The square root is [tex]\frac{2}{5}[/tex]. The answers would be 2:5 and 6pi:15pi.

Answer:

6π : 15π

2 : 5

Answer:

step 2

Step-by-step explanation:

72/8 does not equal 8.  It equals 9

Answer:

Step 2

Step-by-step explanation:

here are the steps to 8d=72

[tex]\frac{8d}{8}[/tex] = [tex]\frac{72}{8}[/tex]

d = 9

Derek did step to wrong because he divided wrong. 72/8 is not 8.

its 9.

therefore Derek did step 2 is wrong

answer: step 2

hope this helps! ;)

Answer:

I don't really know whats going on in the picture but here is how you solve absolute value inequalities

Step-by-step explanation:

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the           quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Answer:

r u in advanced bc thats to hard

Step-by-step explanation:

Answer:

(-9, -9)

Step-by-step explanation:

3x + 5y = −72 and 2x + 3y = –45 is equivalent to:

3x + 5y = −72

2x + 3y = –45

Let's eliminate x.  To do this, multiply the first equation by -2 and the second equation by +3.  We get:

-6x - 10y = 144

6x +  9y = -135

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

      -y = 9

So y = -9.  Substituting -9 for y in the first equation, we get

3x + 5(-9) = -72, or

3x - 45 = -72.  Then 3x = -27, and x = -9.

The solution to this system is (-9, -9).

The solution to the system of equation is (-9, -9)

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

3x + 5y = −72 and 2x + 3y = –45 is equal to;

3x + 5y = −72...(1)

2x + 3y = –45...(2)

Let's eliminate x. In order to do this, we will multiply the first equation by -2 and the second equation by +3.  We will get;

-6x - 10y = 144...(3)

6x +  9y = -135...(4)

-y = 9

Now, y = -9.  Substituting -9 for y in the first equation, we will get;

3x + 5(-9) = -72, or

3x - 45 = -72 ; Then 3x = -27, and x = -9

Answer to the given system of equations is (-9, -9)

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ6

Answer:

68°

Step-by-step explanation:

If its 4.5 by 4 is 56 that means it's 56 on the other side

Answer:

In 350 cm there are 3.5 m . Which is the same to say that 350 centimeters is 3.5 meters

Answer:

Hey!

There are different measures equivalent to 350 cm!

Step-by-step explanation:

SOME ARE: 137.795 inches

                    3.5 metres

                    3500 millimeters  

                    11.4829  feet          

HOPE THIS HELPS!!                                                      

Answer:

the first one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The y axis or interval (0,Infinity) is forever going more lower and the x is forever going to the negatives

Answer:

40

Step-by-step explanation: 13 + 6 + 15 + 6 = 40 ( : - ]

Answer:

x = 12.6

Step-by-step explanation:

When you have one fraction equated to another one, the means-extremes property allows you to cross multiply, as follows:

[tex]\frac{a}{b} = \frac{c}{d} [/tex]

can be rewritten as:

a*d = c*b

For this case:

[tex]\frac{5}{7} = \frac{9}{x} [/tex]

5*x = 7*9

x = 63/5

x = 12.6

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

the probability that the player will not win on Monday or Tuesday, but will win on Wednesday is the same as the probability of winning on the third trial.

This is an example of a geometric probability distribution because trials are repeated until the first success is gotten. Since chance of winning a prize on a given ticket is about 17%, it means that the probability of success, p = 17/100 = 0.17.

Let x represent the number of days before the person wins. The probability that it takes three days before the player wins is expressed as

P(x = 3)

By using the geometric distribution calculator,

P(x = 3) = 0.12

Answer:

204

Step-by-step explanation:

Plug it into a calculator

or

20 multiplied by -4.25 then subtracted by 16 times -4.25 squared.

Answer:

solar prominence is the 2nd one

solar wind is the 1st one

gamma ray photon is the 3rd one

Answer:

sorry cant :(

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the area of square is 10²=100

Area of a circle is πr²=π(10/2)²=25π

100-25π=100-25*3.14=100-78.5=21.5

Step-by-step explanation:

Multiply 10 by 10, then find the area of the circle (78.54) then subtract, 100-78.54= 21.46. Then round. So its A. 21.5 meters squared

Answer:

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. [tex]\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\[/tex]

[tex]{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}[/tex]

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

[tex]\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}[/tex]

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

[tex]\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}[/tex]

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

[tex]\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}[/tex]

Hence,

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Answer:

Sample answer A triangular pyramid with an equilateral triangle for a base has four faces the equilateral triangular base and

three congruent isosceles triangular faces

Step-by-step explanation:

Answer:

5

Step-by-step explanation: