Rachel wants to paint her cupboard. The length of the cupboard is 2.5 meters, its width is 1 meter, and its height is 2 meters. How much area will she need to paint if she paints both the bases and all the lateral faces?

The result is g'(x) = -2x.

Given g(x) =[tex]7 - x^2.[/tex]

Evaluate g(x+h)
=[tex]7 - (x+h)^2[/tex]
= [tex]7 - x^2 - 2xh - h^2.[/tex]

Compute g(x+h) - g(x)
=[tex][7 - x^2 - 2xh - h^2] - [7 - x^2][/tex]
= [tex]-2xh - h^2.[/tex]

Divide by h:
(g(x+h) - g(x)) / h
= [tex](-2xh - h^2) / h[/tex]
= -2x - h.

Take the Limit as h Approaches 0: As h approaches 0, the expression -2x - h approaches -2x.
Therefore, g'(x) = -2x.

So, the derivative of g(x) when h = 0 is -2x.

2.50 / 1.00 = 250% gross margin percentage

1.00 + 0.25 = 1.25

1.25 x 250% = 1.25 x 2.5 = 3.125

 the unit selling price needs to be increased by 0.63 cents  to $3.13

Answer:

a) 8 : 11

b) 8:3

Step-by-step explanation:

Given: The total number of apples in the basket = 11

The number of green apples = 3

Then , the number of red apples = [tex]11-3=8[/tex]

a) The ratio of red apples to all apples in the basket will be :-

[tex]\dfrac{\text{Number of red apples}}{\text{Total apples}}=\dfrac{8}{11}=8 : 11[/tex]

b) The ratio of red apples to green apples will be :-

[tex]\dfrac{\text{Number of red apples}}{\text{Number of green apples}}=\dfrac{8}{3}=8 : 3[/tex]

To find Taylor's home street address number, we can determine the value of each digit based on the given information and then calculate the sum.

In this problem, we are given that Taylor's home street address number has five digits.

We also know that two of the digits have values of 60,000 and 300, and the last digit is 9.

The value of each of the other digits is ten times the value of the digit on the right.

Let's break down the information we have:

Putting all the digits together, we get the address number: 60,000 + 300 + 3,000 + 30,000 + 9 = 93,309.

The rate of change of the function f(x)=(-4/5)x+8 is -4/5, as this is the slope of the linear function which is constant.

To find the rate of change of the function f(x)=-4/5x+8, we can identify the coefficient of the x term, which in this case is -4/5. This coefficient represents the slope of the line, which is the rate of change of the function.

Hence, the rate of change of the function f(x) is -4/5. No additional calculations are needed because the function is linear, and its rate of change is constant.

In terms of calculus, for linear functions, the rate of change is equal to the derivative, which for f(x)=-4/5x+8 is -4/5.

Answer:

The remainder is 100.

Step-by-step explanation:

The divisor is [tex]x^2-8[/tex].

Dividend is [tex]x^4+36[/tex].

We have to find the remainder of

[tex]\frac{x^4+36}{x^2-8}[/tex]

It can be written as

[tex]\frac{x^4+36}{x^2-8}=\frac{x^4-64+64+36}{x^2-8}[/tex]

[tex]\frac{x^4+36}{x^2-8}=\frac{(x^4-64)+100}{x^2-8}[/tex]

[tex]\frac{x^4+36}{x^2-8}=\frac{(x^4-64)}{x^2-8}+\frac{100}{x^2-8}[/tex]

[tex]\frac{x^4+36}{x^2-8}=\frac{(x^2-8)(x^2+8)}{x^2-8}+\frac{100}{x^2-8}[/tex]       [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]\frac{x^4+36}{x^2-8}=x^2+8+\frac{100}{x^2-8}[/tex]

Therefore the remainder is 100.

Answer: There are 9 kennels containing 3 dogs per kennel.

Step-by-step explanation:

27 divided by 3 = 9

Kirk needs 6 more songs to reach a total of 100, so the integer representing the number of songs he needs is +6.

Kirk needs 6 more songs to have a total of 100 songs for his MP3 player.

The integer to represent how many more songs Kirk needs is +6.

This is because an integer is a whole number (not a fraction or decimal) and can be positive, negative, or zero. In this case, since Kirk is adding songs to reach a total, we use a positive integer.

The +6 indicates that 6 more units (songs, in this context) are needed to reach the goal of 100.

The value of the digit 5 in the number 75 is 5. This is because in the number 75, 5 is in the ones place and thus represents 5.

The value of the digit 5 in the number 75 is actually 5 itself. In any two-digit number like 75, the place values are tens and ones. The first digit represents the tens place and the second represents the ones place. Therefore, in 75, the digit 7 represents 70 (as it is in the tens place) and the digit 5 represents 5 (as it is in the ones place). Hence, the value of the digit 5 in the number 75 is 5.

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110/5 = 22, that is the middle number

now use the 2 numbers below that and the 2 numbers above that

so you have 20 + 21 + 22+ 23+24 = 110

the 4th number is 23

Answer:

The bus travels 15 miles more per hour than the train.

TTM ;)

Bus covers greater distance per hour as a form of transportation.

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)        {Two point - slope form}

x/a + y/b = 1                                         {intercept form}

x cos(β) + y sin(β) = L                           {Normal form}

We have Jared wants a quick trip by bus or train to New York. The bus’s average speed is shown in the graph. The train’s average speed is shown in the table.

Distance covered per hour by the train = m[T] = (135 - 90)/(3 - 2) = 45 miles/hour.

Distance covered per hour by the bus = m[B] = (300 - 0)/(5 - 0) = 300/5 = 60 miles/hour

Therefore, Bus covers greater distance per hour as a form of transportation.

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Answer:

its option C

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 5+3×2-6 can be rewritten with parenthesis to equal it with 10 is (5+3)×2-6.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 5+3×2-6 can be rewritten with parenthesis to equal it with 10 is,

(5+3) × 2 - 6

= 8 × 2 - 6

= 16 - 6

= 10

Hence, The given expression 5+3×2-6 can be rewritten with parenthesis to equal it with 10 is (5+3)×2-6.

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Answer:

the answer is actually is $2,258.33

Step-by-step explanation: