4 consecutive integers that have a sum of 258

Answer:

y = 15.75x + 25 is the linear equation

$88 would be the total cost

Step-by-step explanation:

First, create the equation using y = mx + b, where x is the number of hours:

y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25

There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:

y = 15.75x + 25

Plug in 4 as x:

y = 15.75(4) + 25

y = 63 + 25

y = 88

So, the total cost would be $88

Answer:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which:

The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:

[tex]x(t) = r\cos{(t)} + x_0[/tex]

[tex]y(t) = r\sin{(t)} + y_0[/tex]

In this question:

[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]

This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Answer:

(x - 3)² + (y + 4)² = 49

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + *y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (3, - 4) and r = 7 , then

(x - 3)² + (y - (- 4) )² = 7² , that is

(x - 3)² + (y + 4)² = 49 ← equation of circle

Answer:

4

Step-by-step explanation:

because

8÷2=4

16÷4=4

24÷6=4

32÷8=4

Answer:

1غىخةضهاثضخ

Step-by-step explanation:

ى7غ-3ص0ض49ة=

Answer: A = 28 B = 47 C = 105 in degrees

Step-by-step explanation:

OKAY JUST A DISCLAIMER:

I did Geometry last year and the concepts are basically gone but I think I remember how to do this one

So I think one of the theorems stated that the inner angle is half of the outer arc.

So.. angle a would be 56/2 = 28

Angle b would be 94/2 = 47

Angle C is a vertical angle to the angle in the triangle, so it would be 180-47-28=105

Answer:

Step-by-step explanation:

f(x) = 65536(b)^x

Find b by substituting a point. (1, 16384)

16384 = 65536(b)^1

b=0.25

Thus,

f(x) = 65536(1/4)^x

Plug in 6,

f(8) = 1

Answer:

4ft

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Slopes of a perpendicular line are the opposite reciprocal.

So, the opposite of 1/3 is -1/3.

Then the reciprocal of -1/3 is -3 (since -3 is -3/1).

Answer:

35/(7/8)=

35*8/7=40 store B

40-35=$5 Saved

Step-by-step explanation:

Hope this helps :D

Answer:

4x² + 28x + 49

Step-by-step explanation:

(x + x + 7)²

(2x+7)(2x+7)

4x² + 28x + 49

Answer:

Step-by-step explanation:

100(133-380)/380=-65%

So the discount was 65%

Answer:

A, C, and D are the exponential functions that have been simplified correctly

Answer:

If a numbers digits add up till 9

Step-by-step explanation:

Answer:

Area of the other polygon = 4 in.²

Step-by-step explanation:

Area of the bigger polygon : Area of the smaller polygon = square of the side length of the bigger polygon : square of the corresponding side length of the smaller polygon

Let "x" represent the area of the smaller polygon

Thus, we have:

100/x = 20²/4²

100/x = 400/16

100/x = 25

Cross multiply

25x = 100

Divide both sides by 25

25x/25 = 100/25

x = 4

Area of the other polygon = 4 in.²

Answer:

it's 2800

Step-by-step explanation:

2×2×2×2×5×5×7

Answer:

the splash down occurs when h(t) = 0

0 = -4,9t2 + 139t + 185

using the quadratic formula,

t = -1.27 or 29.64 seconds

since time can't be negative

t = 29.64 secs

at the peak, h(t) is maximum

applying calculus,

[d{h(t)}}/dt = -9.8t + 139

at h(t) maximum, [d{h(t)}}/dt is 0

0 = -9.8t + 139

9.8t = 139

t = 14.18 secs

substituting,

h(t) = – 4.9t2 + 139t + 185

h(t) = -4.9(14.18^2) + 139(14.18) + 185

= 1170.77 m

Answer:

Step-by-step explanation:

y = ax² + bx + c

D = b² - 4ac

[tex]x_{12}[/tex] = ( - b ± √D ) ÷ 2a

[tex]y_{max}[/tex] = - [tex]\frac{b}{2a}[/tex]

~~~~~~~~~~~~~

h(t) = - 4.9t² + 139t + 185

- 4.9t² + 139t + 185 = 0

D = 139² + 4(- 4.9)(185) = 22947

[tex]t_{12}[/tex] = ( - 139 ± √22947) ÷ 2(- 4.9)

[tex]t_{1}[/tex] ≈ 29.641 ≈ 30 seconds

[tex]t_{2}[/tex] < 0

[tex]h_{max}[/tex] = - 4.9( [tex]-\frac{139}{2(-4.9)}[/tex] )² + 139( [tex]-\frac{139}{2(-4.9)}[/tex] ) + 185 ≈ 1170.7653 ≈ 1171 meters

Answer:

V = J = 92

Step-by-step explanation:

The angles are the same on both shapes.

Answer:

40

Step-by-step explanation:

26 is 65% of 40

Answer:

What is the geometric sequence?

Step-by-step explanation:

Answer:

[tex]Fence = 41.408ft[/tex]

Step-by-step explanation:

Given

[tex]d = 24ft[/tex]

Required

Determine the length of the wall

First, we calculate the circumference (C) of the semi-circle

[tex]C =\pi d[/tex]

[tex]C = 3.142 * 24[/tex]

[tex]C = 75.408[/tex]

The length of the fence is calculated by subtracting the diameter from the circumference:

[tex]Fence = C - d[/tex]

[tex]Fence = 75.408ft - 24ft[/tex]

[tex]Fence = 41.408ft[/tex]

Answer:

8 miles

Step-by-step explanation:

24 miles/6 hours = 4 miles per hour

4 miles per hour x 2 hours = 8 miles

Answer:

8 miles

Step-by-step explanation:

24/6 is your ratio. He runs 4 miles an hour, but we need 2 hours. 4x2=8 miles in 2 hours.

Answer:

f(x)=9sin(6πx)+3

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-coordinate of vertex is 4

Answer:

1) No

2) Yes

3) angle UXS = 120 degrees

4) arc CB = 40 degrees

Step-by-step explanation:

If AB is tangent to the circle, then angle at A would be 90 degrees.

1)

Is 13^2 + 14.6^2 = 19.4^2?

169 + 213.16 = 376.36      No

2)

Is 8^2 + 6^2 = 10^2?

64 + 36 = 100      Yes

3)

arc WS = arc VU + arc TU = 113 degrees

arc ST = arc WV because their chords cross making a pair of vertical angles.

full circle = 360 degrees

360-113 - 113 = 134 degrees

134/2 = 67 degrees for arc ST

arc STU = 67 + 53 = 120 degrees

Angle UXS = 120 degrees

4) arc CB = arc FB =  40 degrees because their chords cross making a pair of vertical angles.

Answer: