Given the function h(x)=-x^2 + X+4 determine the average rate of change of function over interval -1< x < 5

Answer:

B. four less than three times a number

The dimensions for the width and height of the fish tank will be 4 feet and 2 feet .

Dimension is the measurable extent of a particular kind, such as length, breadth, depth, or height.

According to the given problem,

let , b = is the width of the fish tank

h = is the height of the fish tank given that , hold at least 35 cubic feet of water .

so ,

4×b×h ≥ 35

⇒ h ≥ 35/4b

now , surface area of the fish tank

⇒ 4b + 2× 4h + 2× bh

now substitute the value of h

here

⇒ ≥ 4b +70/b + 35/2

⇒ ≥ 40(70)^1/2 + 35/2 (if and only if b= (70)^1/2 / 2 , the equal sign holds )

therefore ,

= (70)^1/2 / 2 b ≈ 4.18 so b is 4 . when b = 4 ,

h = 35 / 4 × 4 = 2.1875 round off h = 2

so , the minimum surface area of fish tank is

⇒ 4×4+ 2× 4×2 + 2× 4×2⇒ 48

hence , the height and the width of the fish tank is 2 and 4 .

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Answer:

[tex]Mean=83.05^{\circ}[/tex]

Step-by-step explanation:

Given that,

The two measures of a center are 82.5 degrees and 83.6 degrees.

We need to find the value of the mean.

We know that,

[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Total no of observations}}[/tex]

So,

[tex]M=\dfrac{82.5 +83.6 }{2}\\\\M=83.05^{\circ}[/tex]

So, the value of the mean is equal to [tex]83.05^{\circ}[/tex].

Answer:

103.424

Step-by-step explanation:

Answer:

The answwer is 103.424 I am taking this CFA 5th grade test right now because school is almsot going to end.

Step-by-step explanation:

Answer:

y - x= - 13   -------(1)

- 4x + 3y = -51 -------(2)

(1) => y = - 13 + x

Substitute y in (2)

- 4x + 3( - 13 + x) = -51

- 4x - 39 + 3x = -51

- x = -51 + 39

- x = -12

x = 12

Substitute x in (1)

y = - 13 + x = -13 + 12 = - 1

x = 12, y = -1

Answer & Step-by-step explanation:

Simplify the expression.

Exact Form:

7/12

Decimal Form:

0.583

Hope this Helps!!! :)

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Answer:

Independent  [tex]\to[/tex]  Domain

Dependent [tex]\to[/tex] Range

Step-by-step explanation:

Required

Fill in the gaps

A function is represented as:

[tex]y = f(x)[/tex]

Where, x represents the set of input values (or the domain) and y, the set of output values (or the range).

Since the input values are represented by x, they are referred to as the independent variables while the output values are referred to as the dependent values because they depend on the x values for their output.

Answer:

Step-by-step explanation:

take angle A as reference angle

using tan rule

tan A=opposite/adjacent

tan A=5/12

tan A=0.41

A=tan 22.5

A=22.5

for ratio,

tan A=5/12

Answer:

x=9

Step-by-step explanation:

−4(2x+5)+5x−1= −48

-8x-20+5x-1=-48

-3x-21=-48

-3x=-27

x=-27/-3

x=9

Answer:

63/100

Step-by-step explanation:

Im Pretty sure this the correct answer

Answer:

5x² + 13x - 6

Step-by-step explanation:

F - First ( multiply the first terms from each bracket )

I - Inner ( multiple the last term of the first bracket and the first term of the second bracket )

O - Outter ( multiply the outer terms i.e the first term of the first bracket with the last term of the 2nd bracket )

L - Last ( multiply the last terms of the brackets i.e the last term in the second bracket and the last term in the second bracket )

dont forget to take sign convention into consideration .

Answer:

6.1 = 610%

0.6 = 60%

Step-by-step explanations:

         [tex]= \frac{6.1}{1} * \frac{100}{100} =\frac{610}{100}[/tex]

         [tex]= \frac{610}{100}[/tex] = 610%

          [tex]=\frac{0.6}{1} * \frac{100}{100} =\frac{60}{100}[/tex]

          = [tex]=\frac{60}{100} =[/tex] 60%

Step-by-step explanation:

6.1=61 percent

0.6=6 percent

Answer:

circumference of the circle=2πr

=2×3.14×17

=106.76cm

35%c=127

i hope this helps

Answer:

c = 620 | (217 x 100) / 35

Step-by-step explanation:

To solve this problem you multiply 217 by 100 and then divide the total by 35 as follows: (217 x 100) / 35

Answer:

The volume of the cone is 25.13, the other one is 167.55

Step-by-step explanation:

v = 1/3pi(2)^2(6)

simplify and divide the above.

v = 25.13

1/3pi(4)^2(10)

= 167.55

Hence, the slope of the line means for every one dollars the person earn the saving decrease by 1 dollars

The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.

Therefore,

y = 100x + 50

Using the linear equation model,

y = mx + b

where

Therefore,

slope = 100

y-intercept = 50

Hence, the slope represents for every one dollars the person earn the saving decrease by 1 dollars

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Answer:

Step-by-step explanation:

Frequency of Section 1 is 28 and total number of  frequencies is 80.

Answer:

the frst person id wight!

Step-by-step explanation:

Answer:

dependant clause I think so I don't know sorry

Answer:

x = - 7

Step-by-step explanation:

- 2x = 5 + 9

- 2x = 14

x = - 14 / 2

x = - 7

Hope this answer helps you  :)

Have a great day

Mark brainliest

Answer:

x ≤ -7

Step-by-step explanation:

−2x−9 ≥ 5

add 9 to both sides

-2x -9 +9 ≥ 5+9

-2x ≥ 14

divide -2 on both sides

since we're dividing by a negative number we need to flip our inequality sign

-2x/-2 ≥ 14/-2

x ≤ -7

Answer:

B)

Step-by-step explanation:

Answer:

tens place

Step-by-step explanation:

543/7≈77.5714285714

the first digit of the quotient is in the tens place

The first digit of the quotient is in tens place.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Jake wants to distribute 543 marbles equally among 7 of his friends.

Now,

Since, Jake wants to distribute 543 marbles equally among 7 of his friends.

Hence, Number of marbles get by each friend = 543/7

                                                                         = 77.57

Thus, The first digit of the quotient is in tens place.

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Answer:

$12

Step-by-step explanation:

At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter. F(d), models the fee (in dollars) for climbing d meters. F(d)=110+0.12d, What is the increase in price for every 100 meters climbed?

Given:

F(d) = 110 + 0.12d

Where,

F(d) = the fee (in dollars)

d = number of meters climbed

What is the increase in price for every 100 meters climbed?

F(d) = 110 + 0.12d

$110 is the fixed fee

0.12 is the increase in price per meter.

Increase in price per 100 meters climbed = 0.12d

= 0.12 × 100

= 12

Increase in price per 100 meters climbed = $12

Answer:

number 2 is the answer by looking at the slopes of the lines.

According to the property of proportions,

Product of means = Product of extremes

So, simply we did cross multiplication.

Step-by-step explanation:

56/3 is the answer. Refer to the attachment for the solution. :)

Answer:

2018

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hi there!

[tex]\large\boxed{\text{A. } 320 cm^3}[/tex]

We can begin by finding the area of the base in order to solve for the volume.

Use the formula for the area of a trapezoid:

A = 1/2(b1 + b2)h

Substitute the given values:

A = 1/2(10 + 6)5

A = 1/2(16)5

A = 40 cm²

Multiply by the depth of the prism to solve for the volume:

40 × 8 = 320 cm³