Use the following function rule to find g(-p). Simplify your answer.
g(x) = 9W + 4
g(-p) =

The equation of the line that forms the hypotenuse is y = -3/4 x + 5

A line is defined as the shortest distance between two points. The equation of a line in slope-intercept form is expressed as:

y = mx + b

where:

m is the slope

b is the intercept

The coordinate points that gives the largest distance will be used. the points form the largest distance;

Using the coordinate points A(0,5), B(4,2)

Slope = 2-5/4-0
Slope = -3/4

The intercept is (0,5)

Determine the equation

y = mx + b

y = -3/4 x + 5

This gives the required equation.

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Answer:5.3ft

Step-by-step explanation: 1. find the sum of the rest of the sides

14.9+19.9+6.5+39.8+6.5+14.9+14.9=117.4

2. subtract 117.4 from 122.7 to find the missing side length

122.7-117.4=5.3

When you solve   w = __Z,

you will get the value of X ( but there should be a variable' X' in the blank space). This is the method in Algebra.

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When calculating the modulus of a negative number, the minus sign is disregarded. The expression of |9-5| - |5-9| exists 0.

A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count. A function with absolute values is another name for it. No matter what input was provided to this function, the outcome is always favorable.

When calculating the modulus of a negative number, the minus sign is disregarded. The modulus of a number is denoted by writing vertical lines around the number.

Let the expression be |9-5| - |5-9|

Subtracting the numbers, we get

|9-5| - |5-9| = |4| - |-4|

simplifying the above expression, we get

= 4 - 4

= 0

Therefore, the correct answer is option D. 0.

The complete question is:

Simplify |9-5| - |5-9|

A. -8

B. -6

C. -4

D. 0

E. 8

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The correct responses for the arithmetic and exponential sequence and function are;

1. First part; 32 pennies

Second part; Approximately 50 days

2. 24.6 gallons

3,738.5 minutes

3. $67.2

Approximately 24 months

4. 1106.14 gallons

66.56 minutes

The difference is 1 is an arithmetic sequence while 3 is an exponential function

An arithmetic sequence is a group of numbers in which the difference between subsequent terms is a constant

1. The given parameters are;

The initial amount Savannah placed in the piggy bank = 5 pennies

The amount given to Savannah each day = 3 pennies

Required;

First part;

The amount Savannah will have after 10 days

Solution;

The mathematical model for the situation is an arithmetic sequence or progression

The equation for an arithmetic progression is;

[tex]a_n = a_1 + (n - 1) \times d[/tex]

Where;

[tex]a_n[/tex] = The amount after n days

[tex]a_1 [/tex] = The first amount Savannah placed in the piggy bank = 5 pennies

n = The number of days

d = The common difference between the amount present in consecutive days = 3 pennies

The amount after 10 days is therefore;

[tex]a_{10} = 5 + (10 - 1) \times 3=32[/tex]

The money after 10 days is 32 pennies

Second part;

The number of days it would take for there to be $1.50 in the piggy bank.

Solution;

100 pennies = $1.00

Therefore;

$1.50 = 150 pennies

Which gives;

150 = 5 + (n - 1) × 3

(n - 1) × 3 = 150 - 5 = 145

(n - 1) × 3 = 145

n - 1 = 145 ÷ 3

n = 145 ÷ 3 + 1 ≈ 49.3 ≈ 50

It will take approximately 50 days for the amount in the piggy bank to be $1.50

2. The volume of the pool = 1,500 gallons

The initial amount of water in the pool = 5 gallons

The rate at which water enters the pool = 2 gallons in 5 minutes

Required;

First part

The volume of water in the pool after 50 minutes

Solution;

2 gallons in 5 minutes = (2/5) gallons/minute = 0.4 gallons/minute

Therefore;

[tex]a_{50} = 5 + (50 - 1) \times 0.4 =24.6[/tex]

After 50 minutes, 24.6 gallons will be in the pool

Second part;

The time it will take to fill the pool is given by the equation;

[tex]1500 = 5 + (n - 1) \times 0.4[/tex]

number

Which gives;

n = 3738.5

It will take 3,738.5 minutes to fill the pool

3. The formula for finding the amount in the account is the compound interest formula;

[tex]\displaystyle{A = P\cdot (1 + r)^n }[/tex]

Where;

A = The amount in the account after n months

P = The initial amount in the account = $50.0

r = The interest rate = 3.0%

n = The number of periods (months)

After 10 months, we have;

[tex]\displaystyle{A = 50 \times (1 + 0.03)^{10} \approx 67.2 }[/tex]

The amount in the account after 10 months is therefore, approximately $67.2

Second part;

Double the initial amount is 2×$50 = $100

Which gives;

[tex]100 = \displaystyle{50 \times (1 + 0.03)^{n} \approx 67.2 } [/tex]

Which gives;

n ≈ 23.45

Therefore it will take approximately 23.45 months or approximately 24 months for the amount to double

4. Using the exponential function formula, we have;

Number of 5 minutes in 50 minutes = 10

[tex] \displaystyle{1500 \times (1 - 0.03)^{10} \approx 1106.14} [/tex]

The water remaining after 50 minutes is approximately 1106.14 gallons

The time it takes for there to be less than 1,000 gallons in the pool is given as follows;

[tex] \displaystyle{ 1000= 1500 \times (1 - 0.03)^{n}} [/tex]

Which gives;

n = 13.3

Therefore;

The water in the pool will be less than 1000 gallons after 13.3, 5 minute periods or 13.3 × 5 minutes≈ 66.56 minutes

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Answer:

The other number is 120.

Step-by-step explanation:

30×360 =90xx

x=(30×360)/90

x=120

(HCFXLCM= Product if the two

numbers)

Based on the mass of the molecules of oxygen that the scientist determined, the number of significant digits in the solution is 2.

When counting the significant figures in a number, the first rule is that any digit that isn't a zero would be considered a significant digit.

Zeros that are trailing in a number however, and are not considered decimals, are not counted as significant digits. This means that both the 2 number 2s in the figure will be significant figures.

The three zeros are trailing but not decimals so they are not considered significant. This means that in the mass of oxygen according to the scientist, has only 2 significant figures.

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The amount of money that Britta will pay is; SEK2500

Let the amount paid by Britta scabetala be x

Now, we are told that Britta scabetala half as much as Agda. Thus;

Amount paid by Agda = 2x

Now, Cornelia must pay SEK 1,500 less than Britta. Thus,

Amount paid by Cornelia = x - 1500

Agda must pay five times as much as Cornelia. Thus;

2x = 5(x - 1500)

2x = 5x - 7500

5x - 2x = 7500

3x = 7500

x = 7500/3

x = SEK2500

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The tax that is paid on the item purchased to the nearest cent is $0.13,

Tax is a form of transfer of wealth from individuals or businesses to the government. Taxes increase the cost of a good or service. When tax is levied on a good or service, the tax is paid when the good or service is paid for. It is added to the purchase price of the good or service.

In order to determine the tax paid, multiply the cost of the item by the tax rate. Multiplication is the process that is used to determine the product of a number. The sign that denotes multiplication is ×.

Tax paid = cost of the item x tax rate

$3 x 4.4%

$3 x 0.044 = $0.13

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Answer:

I say b

Step-by-step explanation:

The likelihood that someone has received a vaccination equals one minus the likelihood that no one has. The likelihood that a randomly chosen individual in a large population IS NOT immunized = 1 - 0.54 = 0.46.

The likelihood that the three randomly chosen individuals are not all immunized is 0.463, hence the likelihood that at least one of them has been immunized is 1 - 0.463.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

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Answer:

If you slice a cone parallel to the base, the cross section is a circle.

Step-by-step explanation:

ik this isn't all but i hope this helps

Answer:

The answer is "If it does not have four legs, then an animal is not a fish

To form the contrapositive, switch the hypothesis and the conclusion and negate both.

The hypothesis is the "if" part and the conclusion is the "then" part.

Answer:

If it is not a fish, then it has four legs.

Step-by-step explanation:

If A  then  B

the contrapositive of this is

If Not B then not A.

Answer:

Yes, this is an arithmetic sequence.

The difference is -3, so a(n+1) = a(n) - 3

The 21st term is -53, calculated as follows:

a(21) = 7 + (21 - 1)(-3) = -53

The next three terms are -5, -8, and -11.

Previously available balance = $320.39

Deposit made by Mrs. Hammonds = $100

Cheques used for withdrawal,

$97.54

$48.27

The new balance = $320.39 + $100 - $97.54 - $48.27

= 420.39 - 145.81

= 274.58

So, the new balance in her account is $274.58.

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Answer:

104 ;108;112;116;120;124;128;132;136 ;140;144;148

Answer:

104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148

Step-by-step explanation:

A multiple of 4 can generally be defined as divisible by 4.

We can define an equation for it: [tex]4n[/tex] where n is an integer.

From here we can see that if n=25, we have a number of 100 which indeed is a multiple of 4 since dividing it by 4 results in 25 which makes sense since 100 is the result of 4 * 25.

Now starting from 100 (excluding 100 since between 100 and 150), or n=25, we can increase the value of the number by 4, or n by 1 which is doing the same thing.

So start at 100, then 100+4 = 104, then 104+4=108 and so on... until you reach a number greater than or equal to 150, and if it is 150 make sure to exclude it since it says between 100 and 150 which implies it's excluding the end points.

This gives us a result of: 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148

The integer that can be used to represent the difference in the two temperatures is -37°.

From the information, the temperature in Anchorage, Alaska was -13 degrees and on the same day, there was a Polar Vortex over the northeast, and there was a recorded temperature of -24 degrees in Caribou, Maine.

Therefore, the integer can be used to represent the difference in the temperatures will be:

= -13 + (-24)

= -13 - 24

= -37

The difference in temperature is -37°.

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Multiply both sides by 2:

Add x to both sides:

Subtract 2 from both sides:

Divide both sides by 2:

Answer:

Answer: x = -5

Both points have the same x value and only have different y values, meaning that the equation of the line must be x = -5.

The 8 consecutive numbers are 12, 13, 14, 15, 16, 17, 18, 19 respectively.

Algebraic expressions are simply described as arithmetic expressions that are made up of arithmetic terms, constants, variables, factors and coefficients.

These expressions are also made up of arithmetic operations which includes;

Based on the information given, we have;

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 + x + 7 = 124

Now, collect like terms, we get;

8x + 28 = 124

8x = 124 - 28

Subtract like terms

8x = 96

To determine the value of x, make it the subject by dividing both sides by 8, we have;

8x/8 = 96/8

x = 12

Then,

x = 12

x + 1 = 13

x + 2 = 14

x + 3 = 15

x + 4 = 16

x + 5 = 17

x + 6 = 18

x + 7 = 19

Hence, the values are 12, 13, 14, 15, 16, 17, 18 and 19 respectively.

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The most appropriate choice for profit and loss will be given by

Uncle Ben will feed his cows 2 pounds of grain supplement.

What is profit and loss?

If the selling price is more than the cost price, then the difference between the selling price and the cost price will give the profit.

If the selling price is less than the cost price, then the difference between the selling price and the cost price will give the loss.

Here,

For 1 pound

Cost price of grain supplement  = [tex]0.70 \times 1[/tex]

                                                      = $[tex]$0.70[/tex]

Selling price of milk = [tex]0.20 \times 5[/tex]

                                 = $[tex]1[/tex]

Profit = $([tex]1 - 0.70[/tex])

         = $0.30

For 2 pounds

Cost price of grain supplement  = [tex]0.70 \times 2[/tex]

                                                      = $[tex]$1.40[/tex]

Selling price of milk = [tex]0.20 \times 9[/tex]

                                 = $[tex]1.80[/tex]

Profit = $([tex]1.80 - 1.40[/tex])

         = $0.40

For 3 pounds

Cost price of grain supplement  = [tex]0.70 \times 3[/tex]

                                                      = $[tex]$2.10[/tex]

Selling price of milk = [tex]0.20 \times 12.3[/tex]

                                 = $2.46

Profit = $([tex]2.46 - 2.10[/tex])

         = $0.36

For 4 pounds

Cost price of grain supplement  = [tex]0.70 \times 4[/tex]

                                                      = $[tex]$2.80[/tex]

Selling price of milk = [tex]0.20 \times 15.5[/tex]

                                 = $3.1

Profit = $([tex]3.1 - 2.80[/tex])

         = $0.30

For 5 pounds

Cost price of grain supplement  = [tex]0.70 \times 5[/tex]

                                                      = $[tex]$3.50[/tex]

Selling price of milk = [tex]0.20 \times 18[/tex]

                                 = $3.60

Profit = $([tex]3.60 - 3.50[/tex])

         = $0.10

For 6 pounds

Cost price of grain supplement  = [tex]0.70 \times 6[/tex]

                                                      = $[tex]$4.20[/tex]

Selling price of milk = [tex]0.20 \times 20[/tex]

                                 = $4

Loss = $([tex]4.20 - 4[/tex])

         = $0.20

For 7 pounds

Cost price of grain supplement  = [tex]0.70 \times 7[/tex]

                                                      = $[tex]4.90[/tex]

Selling price of milk = [tex]0.20 \times 21.5[/tex]

                                 = $[tex]4.30[/tex]

Loss = $([tex]4.90 - 4.30[/tex])

         = $0.60

For 8 pound

Cost price of grain supplement  = [tex]0.70 \times 8[/tex]

                                                      = $[tex]$5.60[/tex]

Selling price of milk = [tex]0.20 \times 22.5[/tex]

                                 = $[tex]4.50[/tex]

Loss = $([tex]5.60 - 4.50[/tex])

         = $1.10

For 9 pounds

Cost price of grain supplement  = [tex]0.70 * 9[/tex]

                                                      = $[tex]6.30[/tex]

Selling price of milk = [tex]0.20 * 23[/tex]

                                 = $[tex]4.60[/tex]

Loss = $([tex]6.30 - 4.60[/tex])

         = $1.70

Since profit from 2 pounds of grain supplement is the most, Uncle Ben will feed his cows 2 pounds of grain supplement.

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Complete Question

Farmer Ben knows that feeding a grain supplement to his cows will produce more milkaccording to the following schedule:

ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the price of milk is $0.20 per pound and the price of grain supplement is $0.70 per pound?

The table has been attached here

Answer:

$8.50 per pound

Step-by-step explanation:

[tex]44.20 \div 5.2 = 8.50[/tex]

Answer:

Step-by-step explanation:

Answer:

In the solution below

Step-by-step explanation:

According to the question.

$257.62 + $18.19 × 2 + $11.18 = $305.18

$400 - $305.18 = $154.82

$154.82 ÷ $77.41 = 2

So she can buy 2 new biking outfits

I hope this helps you

:)

The exact area of the shaded region is: (2 - √6)/8 cm².

The area of a triangle = 1/2(base)(height).

The area of the shaded region = area of triangle ABD - area of triangle ACD.

Area of triangle ABD:

Base of triangle ABD = AD = √2/2

Height of triangle ABD = BD = √2/2

Area of triangle ABD = 1/2(√2/2)(√2/2)

Area of triangle ABD = 2/8 = 1/4 cm²

Area of triangle ACD:

Base of triangle ACD = AD = √2/2

Height of triangle ACD = CD = √3/2

Area of triangle ACD = 1/2(√2/2)(√3/2)

Area of triangle ACD = √6/8 cm²

Area of the shaded region = 1/4 - √6/8

Area of the shaded region = (2 - √6)/8 cm²

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The numerical value of the third number in an improper and mixed fraction form is 93/10 and 9 3/10 respectively.

Given the data in the question;

Let 'x' represent the third number

First, convert the numbers form mixed fractions to improper fractions

Sum of the three numbers = 24 4/5 = ( 24×5 + 4 )/5 = 124/5

First number = 8 2/3 = ( 8×3 + 2 )/3 = 26/3

Second number =  6 5/6 = ( 6×6 + 5 )/2 = 41/6

Now, to determine the third value, equate the sum of the three numbers to the total and solve for x

26/3 + 41/6 + x = 124/5

( 156 + 123 )/18 + x = 124/5

( 279 )/18 + x = 124/5

31/2 + x = 124/5

x = 124/5 - 31/2

x = ( 248 - 155 )/10

x = ( 93 )/10

x = 93/10

x = 9 3/10

Therefore, the value of the third number is 93/10 or 9 3/10.

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