which rule would best describes this pattern 8,4,10,6,12,8,14

Answer:

false

Step-by-step explanation:

Complete Question:

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by [tex]x(t) = -4t^2 + 20t + 60[/tex], where is the number of hours since 10 AM:

a) Find an expression for the revenue per hour as a function of x, R(x)

b) Find and simplify, R(x(t))

Answer:

a) R(x) = 2x

b) [tex]R(x(t)) = -8t^2 + 40t + 120[/tex]

Step-by-step explanation:

a) This is a very trivial exercise.

[tex]x(t) = -4t^2 + 20t + 60[/tex]

The number of hot dogs sold per hour is given by x

Charge per hot dog = $2

An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x

b) [tex]x(t) = -4t^2 + 20t + 60[/tex]

R(x(t)) = 2(x(t))

[tex]R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120[/tex]

Answer:

[tex]40[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the number.

[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]

[tex]\frac{9}{20} x=18[/tex]

[tex]x=18 \times \frac{20}{9}[/tex]

[tex]x=40[/tex]

If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40

Let the given number be represented by x

One-fourth of the number = x/4

One-fifth of the same number = x/5

One-fourth of the number is added to one fifth of the same number =

x/4  +  x/5  

The result is 18

This can be represented mathematically as:

x/4  +  x/5     =  18

Simplifying the equation above

(5x + 4x)/20  =  18

Cross multiply

5x +  4x  =  18(20)

9x  =  360

x   =  360/9

x   =  40

The number = 40

Learn more on word problem here: https://brainly.com/question/21405634

m<TSU=85°

please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

Answer:

Jemima is wrong because perimeter is sum of all sides and the perimeter of this figure would be the outer sides of it and not the inner sides.

Answer:

See below.

Step-by-step explanation:

She is wrong because  3 times the perimeter  of one triangle is the sum of 9 sides of the triangles.

In the shape  we see that some of the sides of the triangles are 'shared' and dare not part of the perimeter of the shape,  - the perimeter is only the length of 5 sides of a triangle.

So the perimeter is less than the sum of the sides of the 3  triangles.

Answer:

450

Step-by-step explanation:

Since we are estimating, we can round 596 to 600, and 77 to 75

So, we need to find 75%, or 3/4 of 600

600 * 3/4 = 150 * 3 = 450

Answer:

450 meters

Step-by-step explanation:

Answer:

i might be 25

Step-by-step explanation:

Answer:

[tex]\mathrm{2.325 \: hours}[/tex]

Step-by-step explanation:

[tex]\frac{139.5}{60}=2.325[/tex]

[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]

Answer: -7

Step-by-step explanation:

-3 is across from -7 on the chart, so -7 is the x that houses with the f(x) -3

Answer:

Use the Vertical Angles Theorem

Step-by-step explanation:

The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.

Answer:

See below.

Step-by-step explanation:

Answer:

Step-by-step explanation:

School allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Answer:

sup!

the answer is

a point on (0,-1) and (1,3)

Step-by-step explanation:

hope this helps

Answer:

9.72

Step-by-step explanation:

53.43/11 = 4.86

4.86*1 = 9.72

Answer:

2 pens will weigh about 9.7 grams.

Step-by-step explanation:

1. First, you divide 53.43 by 11 which gives you 4.85 grams (I used the first 2 digits.)

2. Since you know that 1 pen weighs about 4.85 grams, you multiply 4.85 by 2 to find the amount of grams for 2 pens. The answer is 9.7 grams.

Answer:

Step-by-step explanation:

The number of small cubes that Edmund used is 8. Let us assume that the volume of each small cube is 1m³. This means that the volume of the cube made is 8m³. Since volume of cube = s³, then s = 3√8 = 2m

Each side of the cube made is 2m

Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. It means that the sides of the cuboid are

Length = 2 × 2 = 4m

Width = 3 × 2 = 6m

Height = 4 × 2 = 8m

Volume = length × width × height

Volume = 4 × 6 × 8 = 192 m³

Number of small cubes used is 192/1 {= 192

The number of cubes that Samuel used more that Edmund is 192 - 8 = 184 small cubes

Answer:

First seven terms apart from 10 are

13, 16, 19, 22, 25, 28, 31

Step-by-step explanation:

Given recursive rule aₙ = a ₙ ₋ ₁ + 3

a1 = 10

[tex]x_{1} = 10\\x_{2} = x_{2-1} + 3= x_{1} + 3 = 10 + 3 = 13\\x_{3} = x_{3-1} + 3= x_{2} + 3 = 13 + 3 = 16\\x_{4} = x_{4-1} + 3= x_{3} + 3 = 16 + 3 = 19\\x_{5} = x_{5-1} + 3= x_{4} + 3 = 19 + 3 = 22\\x_{6} = x_{6-1} + 3= x_{5} + 3 = 22 + 3 = 25\\\x_{7} = x_{7-1} + 3= x_{6} + 3 = 25 + 3 = 28\\x_{8} = x_{8-1} + 3= x_{7} + 3 = 28 + 3 = 31[/tex]

Thus, first seven terms apart from 10 are

13, 16, 19, 22, 25, 28, 31

Answer:

8.12.15

Step-by-step explanation:

mark brainliest plz

Answer:

T₋₄, ₃ (x, y)

Step-by-step explanation:

The coordinates of rectangle ABCD are;

A = (-6, -2)

B = (-3, -2)

C = (-3, -6)

D = (-6, -6)

The coordinates of the image are;

A' = (-10, 1)

B' = (-7, 1)

C' = (-7, -3)

D' = (-10, -3)

We note that for A and A', x - x' = -6 + 10 = 4 and y - y' = -2 - 1 = -3

For B and B', x - x' = -3 + 7 = 4 and y - y' = -2 - 1 = -3

For C and C', x - x' = -3 + 7 = 4 and y - y' = -6 + 3 = -3

For D and D', x - x' = -6 + 10 = 4 and y - y' = -6 + 3 = -3

Therefore, the transformation rule used to translate the image of rectangle ABCD is T₋₄, ₃ (x, y)

Answer:

T₋₄, ₃ (x, y)

Step-by-step explanation:

Answer:

25/8

Step-by-step explanation:

Given That:

R = 8x+4y

X= 8

R = 30.

So, 8 x 8 +4y = 30

Simplify, Rearrange and solve.

64 + 4y = 30

4y = 30/64 = 15/32

y = 15/32 divided by 4

y = 15 / 32 x 1/4

y = 15/(32 x 4) = 15/128

hope this helps

Answer:

see below

Step-by-step explanation:

90/7  ÷ 1 3/4

Change to an improper fraction

90/7 ÷ (4*1+3)/4

90/7 ÷7/4

Copy dot flip

90/7 * 4/7

360 /49

The exact answer is 7 17/49

To estimate I would round 49 to 50 and 360 to 350

350/50 is approximately 7 and since I rounded the numerator down and the denominator up,  the answer would be a little higher

Answer:

B. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.

Step-by-step explanation:

Answer:

[tex]3(8x ^{2} + x + 2)[/tex]

factor out 3 polynomial 8xsqurd +x+2 not factored as it doesn't have any rational roots

Answer:

This cannot be simplified any further.

Step-by-step explanation:

Answer:B

Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero

Answer: I believe it’s B

Step-by-step explanation:

Answer:  17.8 yds

Step-by-step explanation:

The length of the arc of the ENTIRE circle is the circumference (C = 2πr).

We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.

The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]

Given r = 17, θ = 60°

[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]

Answer:

48.56 ft

Step-by-step explanation:

==>Given:

A rectangular figure joined with a half circle with the following dimensions:

Length of rectangle (l) = 10ft

Width of rectangle (w) = 8ft

Diameter of the half circle (d) = the width of the rectangle = 8ft

π = 3.14

==>Required:

Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle

==>Solution:

Perimeter of rectangle = 2(l + w)

Perimeter of half circle = ½ of circumference of a circle = ½πd

Perimeter of the figure = 2(10 + 8) + (½*3.14*8)

= 2(18) + (3.14*4)

= 36 + 12.56

Perimeter = 48.56 ft (to the nearest hundredth)

Answer:56.56

Step-by-step explanation:

For the perimeter of a rectangle

P = 2 × (a + b)

P = 2 × (8 + 10)

P = 2 × 18

P = 36

For the perimeter of a semicircle

P = (pi × r) + (2 × r)

Diameter = 8

Radius = 8/2

Radius = 4

P = (3.14 × 4) + (2 × 4)

P = 12.56 + 8

P= 20.56

Perimeter of this figure

P = r + c

P = 36 + 20.56

P = 56.56

Answer:

Hope this is correct

Step-by-step explanation:

HAVE A GOOD DAY!

Answer:

1/3

Step-by-step explanation:

We are given to find the slope of the line shown on the graph.

We note that

the line on the graph passes through the points (3, -4) and (6, -3).

The slope of a straight line passing through the points (a, b) and (c, d) is given by

m=\dfrac{d-b}{c-a}.m=

c−a

d−b

.

Therefore, the slope of the given line is

\begin{lgathered}m=\dfrac{-3-(-4)}{6-3}\\\\\\\Rightarrow m=\dfrac{-3+4}{3}\\\\\\\Rightarrow m=\dfrac{1}{3}.\end{lgathered}

m=

6−3

−3−(−4)

⇒m=

3

−3+4

⇒m=

3

1

.

Thus, the required slope of the line is \dfrac{1}{3}.

3

1

.

Option (B) is CORRECT.

Answer:

The triangles are similar by the AA similarity postulate

Step-by-step explanation:

The only thing we know is that the three angles are the same

70+30 +80 = 180 so the missing angle in each triangle is  80  in the first and 70 in the second

The triangles are similar by the AA similarity postulate

Answer:

A.

Step-by-step explanation:

We have AC = DF, ∠A =∠D, so

we need AB = DE.

We get SAS congruence.

The Greatest Common Factor of 32 and 48 is 16.

The longest necklace she can make is of 16 inches length.