David can jog 4 miles in 75 minutes What is David’s jogging rate per hour

The volume of any prisma no matter wich one side it have got the following formula:

V=Ab*h where Ab is the base area and h is called height.

From our data we know the volume (6k^2-13K+5) and we know the base area (2k-1). Inserting this data in the general formula we got:

6k^2-13K+5=(2k-1)*h, solving for our unknown variable the height h

h=6k^2-13K+5/2k-1

factoring numerator :

h=(3k-5)(2k-1)/2k-1 simplifying

h=3k-5

The answer is 3k-5

Remark

The Volume = B * h

V = 6k^2 - 13k + 5

B = 2k - 1

h = ??

The volume will factor into (2k - 1)(3k - 5)

You can tell that one of the factors is 2k - 1 because that is the given amount for the base. You need only find the other factor. 3k is needed to multiply 2k to 6k^2.

- 1 needs - 5 to get the answer to 5

So the other factor is 3k - 5

Solution

V/b = h

(6k^2 - 13k + 5)/(2k - 1)

(3k - 5)(2k - 1) / (2k - 1)   The (2k - 1)s Cancel out

Answer

B = 3k - 5 Second one down.

Y=.25x+176.10 Y is the monthly cost and B would be the cost of the insurance every month. X is the amount of miles driven since the .25 stays constant but the amount of miles you drive in a month is different every month, Hence, needs to be a variable that can be adjusted,

A - The value of b, $176.10, represents the fixed costs like insurance and car payments, which remain constant regardless of the number of miles driven. B - It serves as the baseline monthly cost for driving the car.

(a) To model the monthly cost of driving the car (y) in terms of the number of miles driven (x), you can use the equation y = mx + b, where:

y represents the monthly cost of driving the car.

x represents the number of miles driven.

m represents the cost per mile for gasoline, oil, and routine maintenance, which is $0.25 in this case.

b represents the fixed costs, including insurance and car payments, which are $176.10 per month.

So, the values for m and b in this scenario are:

m = 0.25 (the cost per mile)

b = 176.10 (the fixed monthly costs)

Therefore, the equation to model the monthly cost of driving the car is:

y = 0.25x + 176.10

(b) The value of b, which is 176.10 in this equation, represents the fixed costs associated with driving the car. In this case, it includes the monthly insurance and car payment expenses. These are costs that do not depend on how many miles you drive.

Instead, they remain constant every month. So, b represents the baseline or starting point for the monthly cost of driving the car. Even if you were to drive zero miles in a month, you would still have to pay these fixed costs.

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Answer:

192.5 acres.

Step-by-step explanation:

Total area of farm the farmer had = 420 acre.

Of these he did not plant full but only 7/12th of the total acres.

Planted area with corn = 7/12(420) = 245  acres

Of these 245 acres, 3/14th was affected by crop and the remaining part would be healthy

crop affected by disease = 3/14 (245) = 52.5 acres

Hence healthy corns = area planted for corn-diseased part of area

=245-52.5

= 192.5 acres

What I do is to add up the hundreds and tens in my mind first:

130 + 90 + 160 = 380

and then add the small change:

7.50 + 2.50 + 2.50 = 12.50

and add it back to the first amount

392.50

Its $392.50

All you have to do is add $137.50 + $92.50 + $162.50 = $392.50

Hope the answer helps!

[tex]a_{6}[/tex] = 33

the n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1 )d, hence

[tex]a_{6}[/tex] = 13 + (5 × 4 ) = 13 + 20 = 33

The sixth term (a₆) is 33 in the arithmetic sequence.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The formula to find the general term of an arithmetic sequence is,

aₙ = a₁ + (n-1)d

In arithmetic, sequence d represents the common difference.

Where aₙ is the nth term of the sequence and a₁ is the first term

We have been given that a₁ = 13 and d = 4 in an arithmetic sequence,

Substitute the values in the formula,

⇒ a₆ = 13 + (5 × 4)

⇒ a₆ = 13 + 20

⇒ a₆ = 33

Therefore, the sixth term is 33 in the arithmetic sequence.

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For every 7 animals, you have 5 dogs to 2 cats. So divide 98 by 7 and you get 14 groups of 7.

Multiple 14 times 5 dogs and you get 70

Multiple 14 times 2 cats and you get 28

70 + 28 = 98.

B.) 15d+100

100 is a sure value as he earned it

We do not know how many days he worked, therefore variable d is used to represent d amount of days, but we do know he recieved $15 for everyday that he did work

Answer:

150

Step-by-step explanation:

50 lunches each day.

3 days in total that 50 lunches were severed.

50 x 3 = 150

50 + 50 + 50 = 150

Answer:

y=-0.7

Step-by-step explanation:

−(7y+0.6)=3.6−y

-7y+-0.6=3.6−y

-6y+-0.6=3.6

-6y=4.2

y=-0.7

7 divided by 7 equals 1. So, 7 divided by 1 equals 7.

Hope this helps.

Answer:

49

Step-by-step explanation:

7 squared is 49. 49 divided by 7 = 7

Area = 9π cm².

Decimal approximation ⇒ 28.26 cm².

Work is provided in the image attached.

Use Pythagorean Theorem (a² + b² = c²) to find the lengths of the sides. You can also use the distance formula.

6² + 14² = d²

36 + 196 = d²

232 = d²

15.23 ≅ d

2² + 5² = d²

4 + 25 = d²

29 = d²

5.39 ≅ d

Next, use the Perimeter formula:

P = 2L + 2w

  = 2(15.23) + 2(5.39)

  = 30.46 + 10.78

  = 41.24

For #6, Use the Area formula:

A = L x w

  = 5.39 x 41.24

  = 222.28

96÷16(oz in a pint)= 6

First we know that,

3x+15=5x-65 because of vertical angle thr.

y=y because of reflex property

there are 360 degrees in a circle so..

3x+15+5x-65+2y=360

3x+15=5x-65

x=40

so each 2 of the angles are...(40*3+15)=135

Then your new equation is

135+135+2y=360

2y=90

y=45

Hope this helps :)

Answer:

Domain is -3

Step-by-step explanation:

Given that coordinate of a graph is (-3, -2)

We have to find out the domain.

We know that if A and B are two sets, a mapping from A to B is the subset of cartesian product AxB.

Domain is the set of values of A which have images in B.

Use the above definition.

We have A = {-3,...} and B = {-2,....}

The mapping is from -3 to -2

Hence domain is -3

Answer:

Cost of peach = 0.30$

Cost of honeydew melon = 1.20$

Explanation:

 Let us assume that cost of peach to be x.

 So we have cost for the honeydew melon = Four times of the cost of peach

                                                                        = 4x

   Total cost = Cost of honeydew melon +  Cost of peach

                    = 4x+x = 5x

   We also have total cost = $1.50

   So equating both

               5x = $1.50

                 x = 1.50/5 =0.30$

   So cost of peach = 0.30$

        Cost of honeydew melon = 4x = 4*0.30 = 1.20$

23%

23 / 100

if that is right your welcome

Answer:

c  100

Step-by-step explanation:

Using the long divison method, the remainder when x⁴ + 36 is divided by x² - 8 is 100

_____x²+8

___________

x² - 8 | x⁴ + 36

____ | x⁴ - 8x²

-________8x² + 36

-________8x² - 64

___________100

The remainder is calculated as (36 - (-64)) = (36 + 64) = 100

Therefore, the remainder is 100

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You can just write anything really

Statement: If David likes to do math then he is a good student.

Hypothesis: David likes to do math

Conclusion: He is a good student.

It's basically a if then statement

$358.20 + $358.20 * 17.5% = $420.89

$358 -- Original Price

$358.20 * 17.5% -- Price of Tax

$358.20 + $358.20 * 17.5% -- Both added together

The total cost of the new PlayStation is calculated by adding the initial price ($358.20) and the VAT amount at a rate of 17.5%. The VAT amounts to $62.68. Hence, the total amount paid for the new PlayStation is $420.88.

The total cost of the new PlayStation includes the initial cost and the additional charge due to VAT (Value Added Tax). Here, the initial cost is $358.20 and the VAT is charged at 17.5%. First, we need to calculate the VAT amount.

The VAT amount can be calculated using the formula:

VAT Amount = (VAT rate/100) x Cost without VAT

So, VAT Amount = (17.5/100) x 358.20 = $62.68

Now, we can calculate the total cost including VAT. The total cost including VAT is the sum of the initial cost and the VAT amount, which in this case is:

Total cost = Initial cost + VAT Amount

So, Total cost = 358.20 + 62.68 = $420.88

Therefore, the amount paid for the new PlayStation, taking into account the VAT, is $420.88.

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128 ounces and 16 cups

64÷8=8

64 1/2 gallon

8 cups

3 4/5 = 4l

A = l^2

Divide 3 4/5 by 4.

l = 0.95

0.95^2 = 0.9025

The area of the square is 0.9025 meters.

To find the area of a square with a perimeter of 3 4/5 meters, we first convert the perimeter to an improper fraction, divide by 4 to find the length of one side, and then square this length to get the area, resulting in 361/400 square meters.

The question is asking us to find the area of a square when the perimeter is given as 3 4/5 meters. First, we convert the mixed number to an improper fraction which is (3 × 5 + 4)/5 = 19/5 meters. Since the perimeter of a square is the sum of all its sides (P = 4a), we can find the length of one side (a) by dividing the perimeter by 4.

a = P / 4 = (19/5) / 4 = 19/20 meters.

Now that we have the length of a side, we can find the area by squaring this length:

Area = a · a = (19/20) · (19/20) = 361/400 square meters.

Therefore, the area of the square is 361/400 square meters.

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The equation which represent the number you are thinking x = (1/2)x + 5 your number is 10.

Let's represent the number you are thinking of as "x."

According to the given information, your number is 5 more than one-half of your number. Mathematically, this can be written as:

x = (1/2)x + 5

The equation x = (1/2)x + 5 represents the situation where your number is 5 more than one-half of your number. To find the value of your number (x), you can solve this equation:

Subtract (1/2)x from both sides to isolate x:

x - (1/2)x = (1/2)x + 5 - (1/2)x

(1/2)x = 5

Now, multiply both sides by 2 to get rid of the fraction:

2 * (1/2)x = 2 * 5

x = 10

So, your number is 10.

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ANSWER

The line that is parallel to [tex]y=4x-6[/tex] through [tex](12,10)[/tex] is  [tex]y=2x-14[/tex].

EXPLANATION

The equation that is parallel to the line [tex]y=4x-6[/tex] has a slope that is equal to the slope of this line.

By comparing this equation to the general slope intercept form,

[tex]y=mx+c[/tex],this line has slope [tex]m=2[/tex].

Hence the line parallel to this line also has slope [tex]m=2[/tex].

Let [tex]y=mx+b[/tex] be the equation of the line parallel to the line

[tex]y=4x-6[/tex]

We can substitute [tex]m=2[/tex] to obtain;

[tex]y=2x+b[/tex]

If the line passes through the point [tex](12,10)[/tex],then this point must satisfy its equation.

We substitute [tex]x=12[/tex] and [tex]y=10[/tex] to obtain;

[tex]10=2(12)+b[/tex]

We this equation for [tex]b[/tex].

[tex]\Rightarrow 10=24+b[/tex]

[tex]\Rightarrow 10-24=b[/tex]

[tex]\Rightarrow -14=b[/tex]

We substitute this value of  [tex]b=-14[/tex] in to [tex]y=2x+b[/tex] to get;

[tex]y=2x+-14[/tex].

Hence the equation of the line that is parallel to [tex]y=4x-6[/tex] through [tex](12,10)[/tex] is  [tex]y=2x-14[/tex].

Answer:

33

Step-by-step explanation:

OMG NO I WANT TO HELPA YOU BUT I HAVE NO CLUE HOW

i do to but i'm not good with stuff on paper

A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. We use the symbol ⊙ to represent a circle. The a line segment from the center of the circle to any point on the circle is a radius of the circle

In mathematics, the relationship between the set of points in a plane equidistant from a point is represented by a circle.

In mathematics, the relationship between the set of points in a plane equidistant from a point is represented by a circle.

A circle is defined as the set of all points that are the same distance, called the radius, from a given point, called the center.

For example, if point A is located at (2, 3) and the radius of the circle is 5 units, the equation of the circle would be (x - 2)² + (y - 3)² = 5².

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