which sign makes the statement true?
590 ? 5 × 10^2
(>) (<) (=)

Answer:

Step-by-step explanation:

Let the equation of the function is,

y = mx + b

Here, m = slope of the function

b = y-intercept

y-intercept of function is the y-value of a point where x = 0.

From the table given,

y-intercept 'b' = 1

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line passing through (2, 6) and (4, 2) will be,

Slope = [tex]\frac{6-2}{2-4}[/tex]

          = [tex]-2[/tex]

Equation of the line will be,

y = -2x + 1

B). Slope of the line = -2

x-intercept of the line (at y = 0),

y = -2x + 1

0 = -2x + 1

x = [tex]\frac{1}{2}[/tex]

y-intercept of the line = 1

y-intercept indicates that the power of the battery was 100% when we turn on the laptop.

C). Equation of the line is,

y = -2x + 1

Here, y = power remaining

x = Hours

For y = 75% ≈ 0.75

0.75 = -2x + 1

0.75 - 1 = -2x

-0.25 = -2x

x = 0.125

Therefore, after 0.125 hours battery power will be 75%.

The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the percent of battery after x hours.

From the table using the points (0, 1) and (4, 0.2):

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\ \\ y-1=\frac{0.2-1}{4-0}(x-0)\\ \\ y=-0.2x+1[/tex]

At y = 75% (0.75):

0.75 = -0.2x + 1

x = 1.25 hours

The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.

Find out more on linear equation at: https://brainly.com/question/14323743

Answer:

Probability is represented as a non-negative number between 0 and 1.

Answer:

x = 14

Step-by-step explanation:

It is a 6 sided shape so 6 -2 x 180 = 720 degrees sum of exterior angles

10 x + 6x+10 +9x+4 +7x+2 +12x-8 +8x-16 = 720

52 x - 8 = 720

52x = 728

x =14

Answer:

14mph

Step-by-step explanation:

First, lets find how many 16s can go into 60.

We can find this by doing 60 / 16 = 3.75

Then we need to find his average speed. We can find this by doing

18.4 * 3.75 = 69

To find how much he exceeded the speed limit, we will subtract 55 from 69

69 - 55 = 14

Therefore, Femi's average speed exceeded the speed limit by 14mph.

Answer:

78.3% which would be a C+

Step-by-step explanation:

If the project was worth 20% of your grade and you got 50% on that project, we can multiply the decimal values of these percentages together to know exactly by how much your grade will drop.

0.2 * 0.5 = 0.1 or 10%

Now, we see that your grade will drop 10%. Meaning, that from your 87% you will actually have only 90% of that which is...

87 * 0.90 = 78.3

Therefore, your grade will go down to a 78.3% which would be a C+

Answer:

456

Step-by-step explanation:

The volume of the triangular prism is equal to 456 cubic units.

A triangular prism is a polyhedron constructed of two triangular bottoms and three rectangular flanks. It is a three-dimensional body that has three flank faces.

A prism is a polyhedron in geometry that has n parallelogram faces that connect the n-sided polygon basis, the second base, which is a translated duplicate of the first base, and the n faces.

The volume of the rectangular prism will be calculated by the formula given below:-

V = Bh

B = Area of the base.

h = height of the prism.

From the figure, we can see that the triangular base has a height of 6 and a base of 8 units.

Area of the Base = 6 x 8 = 48 square units.

The volume of the prism will be,

V = 48 x 19

V = 456 cubic units.

Therefore, the volume of the triangular prism is equal to 456 cubic units.

To know more about the volume of the prism follow

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Answer:

Option D

Step-by-step explanation:

Equation of the piecewise function,

f(x) = -x² + 2x  for x ≤ -3

        [tex]2(\frac{1}{3})^{2x}[/tex] for -3 < x < 4

         [tex]\frac{2x-5}{x-7}[/tex] for x ≥ 4

For x = -3,

f(x) = -x² + 2x

f(-3) = -(-3)² + 2(-3)

       = -9 - 6

       = -15

For x = -1

f(x) = [tex]2(\frac{1}{3})^{2x}[/tex]

f(-1) = [tex]2(\frac{1}{3})^{2(-1)}[/tex]

      = [tex]2(\frac{1}{3})^{-2}[/tex]

      = [tex]2\times 3^2[/tex]

      = 18

For x = 4

f(x) = [tex]\frac{2x-5}{x-7}[/tex]

f(4) = [tex]\frac{2(4)-5}{4-7}[/tex]

     = [tex]\frac{3}{-3}[/tex]

     = -1

Therefore, f(-3) + 2f(-1) + f(4) = -15 + 2(18) - (-1)

                                              = -15 + 36 + 1

                                              = 22

Option D will be the correct option.

Answer:

-3, 4

Step-by-step explanation:

See the image below:)

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

36 by 24 in. all you have to do is look at B, hopefully this helps!

Answer:

5,541.77

Step-by-step explanation:

V= πr2h

π · 142 · 9 ≈ 5541.76944

Brainliest?

Answer:

1800 m²

Step-by-step explanation:

Since the cost of constructing the path at rs 40 per sq m is rs 13760, if A is the area of the path then we have

rate × area = cost

area = cost/rate = 13760/40 = 344 m²

Now, let L = length of rectangular field and B = breadth of rectangular field. So, its area is A'= LB. Given that L = 2B, A' = 2B × B = 2B².

Also, since the width of the path is 2 m, the inner field has dimensions L - 2 - 2 = L - 4 as length and B - 2 - 2 = B - 4 as breadth since we subtract 2 m from both ends of the each dimension.

So, the inner area is (L - 4)(B - 4) = (2B - 4)(B - 4) = 2B² - 8B - 4B + 16 = 2B² - 12B + 16.

The area of the rectangular field is thus the inner area plus the area of the uniform path

So, 2B² - 12B + 16 + 344

We equate this the the area of the rectangular field. So,

2B² - 12B + 16 + 344 = 2B²

- 12B + 16 + 344 = 2B² - 2B²

- 12B + 360 = 0

- 12B = -360

B = -360/-12

B = 30 m

Since the area of the field A' = 2B²,

A' = 2(30 m)²

= 2(900 m²)

= 1800 m²

Answer:

60[tex]\pi[/tex] m³

Step-by-step explanation:

Use the cone volume formula, V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

If the diameter is 12 m, the radius will be 6 m.

Plug in the height and radius into the formula, and solve:

V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

V = [tex]\pi[/tex](6²)[tex]\frac{5}{y}[/tex]

V = [tex]\pi[/tex](36)[tex]\frac{5}{3}[/tex]

V = 60[tex]\pi[/tex]

So, the volume of the cone is 60[tex]\pi[/tex] m³

Answer:

a) A = 8000(1 + .06/4)^4t

b) $9,564.95

Step-by-step explanation:

b) A = 8000(1 + .06/4)^12

Answer:

54

Step-by-step explanation:

Answer:

486

Step-by-step explanation:

Area of a parallelogram = base length times height

The parallelogram shown has a height of 18 mm and a base length of 27 mm

Thus, area = 27 * 18

27 * 18 = 486

Thus, the area of the parallelogram is 486mm²

Answer: For this case we can rewrite the expressions as:

That is, we run the decimal three times to the left.

That is, we run the decimal six times to the left.

So:

So, we have that is 0.002996 times bigger than

Answer:

is 0.002996 times bigger than

Step-by-step explanation:

Answer:

Bella is largely mistaken.

Step-by-step explanation:

What she described equals 90

Answer:

0,5

Step-by-step explanation:

u just need to shorted it

Answer:

942 6/7 cm²

Step-by-step explanation:

Since O = Center of bigger circle, OA = Radius of bigger circle.

∴ Area of smaller circle - Area of bigger circle = Area of shaded part.

∴ Area of smaller circle = 22/7 × 10²

                                       = 22/7 × 100

                                       = 2200/7

                                       = 314 2/7 cm²

∴ Area of bigger circle = 22/7 × 20 ²

                                      = 22/7 × 400

                                      = 1257  1/7 cm²

∴ Area of shaded part = 1257 1/7 - 314 2/7

                                     =  942 6/7 cm²

Answer:

y(t) = 720e^0.3466t

y = 2036.6288

Step-by-step explanation:

The exponential relation :

y = Ae^kt

A = initial value ; y = final value ; r ; k = exponential rate, t = time

At t = 0

y = 720e^0 ; y = 720

At t = 2 ; y = 720e^2k

1440 = 720e^2k

1440/720 = e^2k

2 = e^2k

Take the In of both sides

0.6931471 = 2k

k = 0.6931471 / 2

k = 0.3466

Hence, equation becomes :

y = 720e^0.3466t

After 3 hours ;

t = 3

y = 720e^0.3466*3

y = 720e^1.0398

y = 720 * 2.8286512

y = 2036.6288

Answer: The Answer is 3rd

Answer:

450

Step-by-step explanation:

6% = 0.06

0.06x = 27

Divide both sides by 0.06

x = 450

Answer:

no

Step-by-step explanation:

x²-2x-5=0

a=1

b=-2

c=-5

So also you need to correct the equasion according to the schematic below:

x=(-b+-root(b²-4*a*c))/2*a

Answer:

C; D; E

Step-by-step explanation:

✔️Angles in a straight line = 180°

Therefore, m<5 + m<6 = 180° is correct.

✔️Exterior angle of a triangle = the sum of the opposite interior angels based on the exterior angle theorem of a triangle.

Therefore,

m<2 + m<3 = m<6 is correct.

✔️The sum of m<2 + m<3 + m<5 = 180° is correct. This is true based on the sum of triangle theorem.

Answer:

38 degrees

Step-by-step explanation:

angle DFE and angle F are supplementary angles which means they complete each other to 180 degrees

so the measure of DFE is

180 - 142 = 38 degrees

Answer:

-7 & 5

Step-by-step explanation:

Answer:

Factors = - 7 and 5

Step-by-step explanation:

- 35

- 1 and 35

- 5 and 7

- 7 and 5

- 35 and 1

35 - 1 = - 34

- 5 + 7 = 2

- 35 + 1 = - 34

- 7 + 5 = - 2

Factors = - 7 and 5