final due today hurry please! Question Category: Comparing Functions
Select the correct answer.

The given table shows the number of customers, c(x), in a diner when the diner has been open for x minutes.

x 30 45 60 75 90 105
c(x) 40 48 50 48 40 30
Which statement is supported by the table?

The number of customers in the diner is increasing on the interval (30,60).
The maximum number of customers in the diner is 60.
The number of customers in the diner is increasing on the interval (75,105).
The maximum number of customers in the diner is 105.

Answer:

The longest side of the cross-section is: [tex]2.4cm[/tex]

Step-by-step explanation:

Given

See attachment for pyramid

Required

The longest side of the cross-section

The base of the pyramid is a rectangle with the following dimension (in terms of length)

[tex]Long = 6cm[/tex]

[tex]Short = 3cm[/tex]

For the cross-section, we have:

[tex]Long = x[/tex]

[tex]Short =1.2cm[/tex]

Since both are parallel, then the following relationship exist between both

[tex]Ratio = Long : Short[/tex]

So, we have:

[tex]6cm : 3cm = x: 1.2cm[/tex]

Express as fraction

[tex]\frac{6cm }{ 3cm }= \frac{x}{1.2cm}[/tex]

[tex]2= \frac{x}{1.2cm}[/tex]

Make x the subject

[tex]x = 2 * 1.2cm[/tex]

[tex]x = 2.4cm[/tex]

Answer:

1.5

Step-by-step explanation:

base x height x 0.5

Pythagorean theorem: c^2 - a^2 = b^2

b = square root of (2.5)^2 - (1.5)^2

= 2

b = height

area = 0.5 x 1.5 x 2 = 1.5

Answer:

1.5

Step-by-step explanation:

Use the Pythagorean Theorem. A^2 + b^2 = c^2

A and b being the sides and C being the hypotenuse.

2.5^2 - 1.5^2 = 4

Square root of 4 is 2.

Then you use the area of a triangle formula. 1/2 * base * height = Area of a triangle.

1.5 * 2 * 0.5 = 1.5

Answer:

6.7

Step-by-step explanation:

For this questions we have the oppsotie side and need the adjacent

out of SOH, CAH, TOA we will sue TOA

tan(56)=10/x

tan(56)/10=1/x

10/tan(56)=x

x=6.745 which rounds to 6.7

5x + 3y = 6

Answer's too short so here's some extra text.

Answer:

<KLN and <MLN

Step-by-step explanation:

adjacent angles have a common vertex and a common side

Answer:

bell-shaped curve

Step-by-step explanation:

A density curve is scaled so that the area under the curve is 1

Answer:

I think it might be 0.3 i'm not sure though

Step-by-step explanation:

Answer:

I think that it is C. hope this is correct

Answer:

x = 45

Step-by-step explanation:

2x - 56 = 34

2x = 34 + 56

2x = 90

x = 45

Answer:

x = 45

Step-by-step explanation:

2x-56=34 add 56 to both sides

2x = 90 divide both sides by 2

x = 45

Answer: Median: 10

Step-by-step explanation:

Answer: 10

Step-by-step explanation: First you place the numbers in order from least to greatest (5,5,7,9,11,12,16,23) then you take away one from each side at a time so 5,23 then 5,16 etc. you end up with 9 and 11 left so you find the middle of 9 and 11 which is 10.

Answer:

[tex]sin x=-\frac{5}{13}[/tex]

Step-by-step explanation:

From the question we are told that:

Radius [tex]r=13[/tex]

Co-ordinate of x axis at C [tex]x'=12[/tex]

Let

x' represent the x axis

y' represent the y axis

Since the intercept across the radius has values on the x' and y' axis

Therefore

Generally the Trigonometric equation for cos x is mathematically given by

 [tex]cos x=\frac{x'_c}{r}[/tex]

 [tex]cos x=\frac{12}{13}[/tex]

Generally the Trigonometric equation for sin x is mathematically given by

[tex]sin x=\sqrt{1-cos^2x}[/tex]

[tex]sin x=\sqrt{1-(\frac{12}{13})^2}[/tex]

[tex]sin x=\frac{5}{13}[/tex]

Since x is in the IV quadrant sin x is negative

[tex]sin x=-\frac{5}{13}[/tex]

Answer:

I'm pretty sure it's $5.00.

Answer:

The probability of getting a 1, 2, 3 on three rolls respectively is [tex]\frac{1}{216}[/tex].

Step-by-step explanation:

Since you are rolling three dies, and each die has six sides, that means there are a total of 216 possible outcomes. Out of the 216 different outcomes, only 1 of them meet the requirement of rolling a '1' on the first die, a '2' on the second die, and a '3' on the third die, so the fraction to represent the situation would be [tex]\frac{1}{216}[/tex].

Answer:

[tex]\implies Dividend = x^3-3x^2+4x-3[/tex]

Step-by-step explanation:

Given :-

And we need to find out the Dividend. We know that ,

[tex]\implies Dividend = Quotient\times Divisor + Remainder [/tex]

Substituting the respective values :-

[tex]\implies Dividend = (x-3)(x^2-2)+7x-9 \\\\\implies Dividend = x^3-2x-3x^2+6+7x-9 \\\\\implies Dividend = x^3-3x^2+4x-3[/tex]

Answer:

2,4

Step-by-step explanation:

Answer:

c g(x)=2x^2

Step-by-step explanation:

hi

the awnser is 799 by 983

Step-by-step explanation:

Answer:

I think the possible answer is C.12

hope its right but if its wrong please feel free to correct me.

Answer:

7,000 LBs

Step-by-step explanation:

1 ton is 2,000, half of a ton is 1,000

Answer:

7000 lbs

Step-by-step explanation:

The formula for tons to pounds is to multiply the value by 2000

Hi there!

f''(4) = -4 means that at x = 4, the second derivative is equal to -4. This is equivalent to the instantaneous rate of change of the graph of f'(x) at x = 4 as well.

Answer:

Step-by-step explanation:

if the second derivative is -4 means that the function is concave down and that at point 4 the function has a maximum

Answer:

are you asking to convert to fractions and decimals?

1. .05 1/20

2..17 or 17/100

3. 7/2

Answer:

D

Step-by-step explanation:

every time the mile increases he burns more calories you can see that when you look at it closely

Answer:

[tex] 88 \: {in}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 in and 4 in + Area of two right triangles with base (7 - 4 = 3) 3 in and height 8 in

[tex] = 16 \times 4 + 2 \times \frac{1}{2} \times 3 \times 8 \\ \\ = 64 + 24 \\ \\ = 88 \: {in}^{2} [/tex]

Answer:

1 /2

Step-by-step explanation:

The theoretical probability is the possibility of an event occurring based on reasoning and not on the outcome of a trial or experiment. Hence, for the question above, the outcome of the tosses or trials would have no effect on the theoretical probability that a coin lands oon head or tail.

Theoretical probability of an event =

Favorable outcome / Total possible outcomes

Favorable outcomes = number of heads in a coin = 1

Total possible outcomes = number of faces on a coin = 2 (head and tail)

Therefore,

Theoretical probability of landing on head = 1 /2

Answer:

1 1/2

one and one half.

Step-by-step explanation:

Answer:

81/16

Step-by-step explanation:

Answer:

I remember my teacher saying that when you get the answer you have to * when you get the answer

Answer:

10

Step-by-step explanation:

(3 + 12) - 3² + 8 · 2 ÷ 4

15 - 9 + 16 : 4

6 + 4

10

Answer: 24 days

Step-by-step explanation

h every worker, 4 workers will still take 12 days. If the work is to shake every other worker's hand, 4 workers will only take 37 x 12 days.

Answer:

D.

Step-by-step explanation:

4 x (26 + 72) is 4 time more than the expression of 26 + 72