Sam drive 965 mile from city A to city b ,Rita drive 1,041 mile from city C To city B

The value(s) of c guaranteed by the mean value theorem for integrals for the function over the given interval is proved.

The mean value theorem for integrals states that if a continuous function f is defined on a closed interval [a, b], then there exists a number c in the interval (a, b) such that the average value of the function over the interval is equal to the value of the function at c.

Mathematically, this can be expressed as:

[tex]\frac{1}{b-a} \int_{a}^{b} f(x) dx = f(c)[/tex]

where c is a number in the interval (a, b) and the integral sign represents the area under the function from a to b.

The mean value theorem for integrals tells us that there is always a point in the interval where the average value of the function is equal to the function's value at that point. However, it does not tell us the value of c. To find the value of c, we need to solve for it in the equation above.

In conclusion, the mean value theorem for integrals is a useful tool for understanding the average value of a function over an interval and finding the value of c where the average value is equal to the function's value at that point.

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Answer:C

Step-by-step explanation:

interior angles of a triangle, when added, = 180

so < A + < B + < C = 180

41 + 90 + < C = 180

131 + < C = 180

< C = 180 - 131

< C = 49

< C + < D + < E = 180.....because when added they form a line

49 + 32 + < E = 180

81 + < E = 180

< E = 180 - 81

< E = 99 <======

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Answer:

-3

Step-by-step explanation:

Look at x. Go right until you see 3. Now look below to see what y is.

When x is 3, y is -3.

The solution of the equations -4x-2y= -12 and 4x+8y= -24 is {6, -6).

The question above has 2 equation.

Equation I = -4x-2y= -12

Equation II=4x+8y= -24.

Equation I = -4x-2y= -12, replace to 4x= -2y+12

then substituted 4x= -2y+12 into the second equation, namely 4x+8y= -24.

4x+8y= -24

=(-2y+12) +8y= -24

6y+12= -24

6y = -24-12

6y= -36

y = -6

found the value of y is -6.

The next, substitute the value y= -6 into the equation II

4x+8y= -24

4x+8(-6) =-24

4x-48=-24

4x=-24+48

4x=24

x=24/4

x=6

found the value of x is 6.

Therefore the x and y values of those equation in question are 6 and -6.

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The function, f(x), that models the number of tenrecs after x years is f(x) = 698(2)^x

From the question, we have the following parameters that can be used in our computation:

Initial value, a = 698

Rate, b = 2 i.e. doubles

Using the above as a guide, we have the following:

f(x) = ab^x

Substitute the known values in the above equation, so, we have the following representation

f(x) = 698(2)^x

Hence, the function is f(x) = 698(2)^x

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Since, 1 JPY = 0.0077 USD in Jan 27, 2023 08:45 UTC

Therefore, based on above information :

800 Japanese Yen 5.93 US Dollar.

The yen is the official currency of Japan. It is the third most traded currency on the foreign exchange market, after the US dollar (USD) and the euro. It is also widely used as the third key currency after the US dollar and the euro.

After World War II, the yen lost much of its pre-war value. To stabilize the Japanese economy, the yen exchange rate was fixed at 360 yen per US dollar under the Bretton Woods system. When this system was abolished in 1971, the yen was devalued and became liquid. After peaking at 271 yen per dollar in 1973, the yen appreciated to 271 yen per dollar due to the oil crisis in 1973, reaching 227 yen per dollar in 1980.

Another option is to do the calculations manually using simple mathematical formulas. However, for this you need to know the current exchange rate. As of this writing, one yen is worth $0.007.

Once you know this information, multiply the amount in JPY by the current exchange rate.

The resulting number shows how much you need to spend on your trip in US dollars.

Manual Currency Conversion Example

Suppose you have 100,000 yen and want to calculate how much money you will need to travel to the United States. Using the current exchange rate, the conversion formula would be

100,000 yen x 0.007 = $700

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Answer: $7,291.14

Step-by-step explanation: To calculate the value of the car in 2020, you can use the formula y = 20,000(0.85)^10.

Here, y represents the value of the car in 2020, 20,000 is the initial value of the car, and 0.85 is the depreciation rate. The exponent 10 represents the number of years that have passed, so the formula calculates the value of the car after 10 years by multiplying the initial value by the depreciation rate raised to the power of 10.

To perform this calculation, you can calculate 0.85^10 first, and then multiply that result by 20,000:

0.85^10 = (0.85)(0.85)(0.85)...(0.85) (10 times)

      = 0.364569708

y = 20,000 * 0.364569708

 = 7,291. 139416

So the value of the car in 2020 would be approximately $7,291.14.

a) The position of boat is shown by red point.

b) About 78 degree  should the boat sail on to enter the port.

A pair of rays (half-lines) with a shared terminal are combined to form an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.

Given:

From point 'a', measure around 340 degrees bearing and then put the line there.

Then, from point 'b' measure around 245  degrees when measuring north.

The position of boat is shown by red point.

b) About 78 degree should the boat sail on to enter the port.

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The question attached here is seems to be incomplete and inappropriate The complete question is attached below.

The diagram shows two lighthouses A and B and a port P

A boat is on a bearing of 340° from lighthouse A and 245° from lighthouse B.

a) Mark, with a cross, the position of the boat on the map.

b) What bearing should the boat sail on to enter the port?​

Answer:

No

Step-by-step explanation:

[tex]\frac{p}{13}[/tex] = 3 ( multiply both sides by 13 to clear the fraction )

p = 13 × 3 = 39

then p = 39 is the solution not p = - 39

[tex] \frac{p}{13} = 3[/tex]

[tex]p = 13 \times 3[/tex]

[tex] = 39[/tex]

[tex] \frac{p}{13} = 3[/tex]

[tex] \frac{p}{13} \times 3 = 3 \times 13[/tex]

[tex] \frac{p}{39} = 3[/tex]

[tex]p = 13 \times 3 \\ = 39[/tex]

[tex]\textbf{\textcolor{red}{Thank you!}}[/tex]

Answer:

98 red marbles

Step-by-step explanation:

112 yellow marbles is 40% of total. If we divide 112 by 5 then that is 5% of total, which is 14. Since the red marbles is 35% of total we can multiply 14(which is 5% of total) and 7, which gives the answer of 98.

Answer:36

Step-by-step explanation: 2x6x3=36

Nakeisha has 36 different outfits to choose from.

It is a theorem that states that if there are n things, each with [tex]n_1[/tex] ,[tex]n_2[/tex] , [tex]n_3[/tex], ..... [tex]n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

N=  [tex]n_1[/tex] x [tex]n_2[/tex] x [tex]n_3[/tex] x.....x [tex]n_n[/tex]

Given:

We have 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes.

For the pants we have [tex]n_1[/tex] = 2

For the t-shirts we have [tex]n_2[/tex] = 6

For the shoes we have [tex]n_3[/tex] = 3

Thus, the total number of outfits is given by:

= 2 x 6 x 3

= 36

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Answer:

3,076.5 rounded

Step-by-step explanation:

58 divided by 2.8 = 25.2173913043 for the unit rate. Then multiply by 122 = 3,076.5217391246.

Melanie’s walls still needs to be painted is 231 square feet.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, Melanie’s bedroom walls are 45% painted.

The area of her walls totals 420 square feet.

The area of wall painted

=45% of 420

= 45/100 ×420

= 0.45×420

= 189 square feet

Remaining area = 420-189

= 231 square feet

Therefore, Melanie’s walls still needs to be painted is 231 square feet.

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The cost of the rentals be equal after 2 days

A word problem is a mathematical exercise which is in the form of a hypothetical question that needs mathematical analysis and equations to be solved.

Let d represent the he number of days for which the car is rented

The cost for Hertz can be represented will be

= 115 + 210d,

The cost for Avis will be

= 255 + 190d.

We can set the two costs equal to each other and solve for d:

115 + 210d = 255 + 190d

95 = 45d

d = 95 / 45

d = 2

Hence, the cost of the rentals will be equal after 2 days.

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Divide the number of micrometers by 10,000 to get the equivalent number of centimeters.

To convert micrometers to centimeters, you need to use the conversion factor between the two units. There are 10,000 micrometers in a centimeter.

Here are the steps to convert micrometers to centimeters:

1. Start with the number of micrometers you want to convert.
2. Divide the number of micrometers by 10,000 to get the equivalent number of centimeters.
3. The result is the number of centimeters equivalent to the given number of micrometers.

For example, if you want to convert 50,000 micrometers to centimeters, you would divide 50,000 by 10,000 to get 5 centimeters.

So, the conversion formula is:

centimeters = micrometers ÷ 10,000

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The solution is,  the change John received if she gave the cashier $50 is,

$50 - ($2.85 * 5)

=$50 - $ 14.25

=$ 35.75 , the required expression.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Joan bought 5 yards of fabric for $2.85 a yard, including tax.

i.e. he spend = $2.85 * 5

                      = $14.25

so,  the change John received if she gave the cashier $50 is,

$50 - ($2.85 * 5)

=$50 - $ 14.25

=$ 35.75

Hence, The solution is,  the change John received if she gave the cashier $50 is,

$50 - ($2.85 * 5)

=$50 - $ 14.25

=$ 35.75 , the required expression.

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The values of x and y after solving the simultaneous equations are; x = 37/11 and y = 17⁸/₁₁

The two simultaneous equations given are;

-2x + y = 12   -------(1)

y = -26 - 9x   ------(2)

Let us make y the subject in eq 1 to get;

y = 2x + 12   -----(3)

Subtract eq 2 from eq 3 to get;

0 = 2x + 12 + 26 + 9x

11x + 37 = 0

11x = 37

x = 37/11

Similarly;

y = 2(37/11) + 12

y = 74/11 + 12

y = 6⁸/₁₁ + 12

y = 18⁸/₁₁

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The total area of the rectangular openings which should be painted is 1.3 sq meters.

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m².

Given that, the total area covered by 6 rectangular openings is 1.3 square meters, we need to calculate the total amount of area of rectangular openings which should be painted,

Since, it is already given that the area of the rectangular opening is 1.3 m²

Therefore, the area which need to be painted is 1.3 m²

Hence, the total area of the rectangular openings which should be painted is 1.3 sq meters.

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Therefore, the inverse of the function y = x^2 + 2 is: y = ±√(x - 2)

To find the inverse of the function y = x^2 + 2, we need to switch the roles of x and y, and then solve for y.

Step 1: Write the function with x and y swapped:

x = y^2 + 2

Step 2: Solve for y. To do this, we'll need to isolate the y variable on one side of the equation. We can start by subtracting 2 from both sides:

x - 2 = y^2

Step 3: Take the square root of both sides. When we do this, we'll need to include both the positive and negative square root, since a square can have two possible roots:

±√(x - 2) = y

Step 4: Simplify the answer by using the ± symbol to show that there are two possible inverses:

y = ±√(x - 2)

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The inequality equation is 0 < y ≤ 56/17

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( -56 / y ) - 11 ≤ -28   be equation (1)

On simplifying the equation , we get

Adding 11 on both sides of the equation , we get

-56 / y ≤ -17

On further simplification , we get

( -56 + 17y ) / y ≤ 0

Therefore , the inequality equation is 0 < y ≤ 56/17

Hence , the inequality is 0 < y ≤ 56/17

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Answer:

The slope of the line that travels through the points (4, 4) and (5, 3) is -1.

Step-by-step explanation:

The slope formula is:

m = (y2 - y1) / (x2 - x1)

where m is the slope of the line, (x1, y1) and (x2, y2) are the given points. Plugging in the values for (4, 4) and (5, 3):

m = (3 - 4) / (5 - 4)

m = -1 / 1

m = -1

The slope of the line that travels through the points (4, 4) and (5, 3) is -1.

The expected number of cars that are a color other than silver is 42 cars.

Option D is the correct answer.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

If 16% of the cars passing by are silver, then the percentage of cars that are not silver.

= 100% - 16%

= 84%.

If 50 cars are selected at random on one day, the expected number of cars that are a color other than silver is equal to the total number of cars (50) multiplied by the percentage of cars that are not silver (84%).

= 50 x 84%

= 50 x 0.84

= 42 cars

Therefore,

The expected number of cars that are a color other than silver is 42 cars.

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The ratio of triangles to total shapes is 4:10.

For every two triangles, there are 5 total shapes.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Number of triangles = 4

The number of shapes.

= 4 triangles + 6 squares

= 10

Now,

The ratio of triangles to total shapes.

= 4 : 10

Now,

4 : 10

= 4/10

= 2/5

= 2 : 10

This means,

For every two triangles, there are 5 total shapes.

Thus,

The ratio of triangles to total shapes is 4:10.

For every two triangles, there are 5 total shapes.

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Answer:

c = 6

Step-by-step explanation:

-2+7c = 40

=>add 2 to the both sides

7c = 42

=>divide both sides by 7

c = 6

Answer:

c=6

Step-by-step explanation:

-2+7c=40

so if your 2 is negative we want to make it equal 0 so add 2 and we have to do that on the other side of the =

We now have 7c=42

now we want the c to be alone so we do 42/7

our final answer is c=6

i hope that helps explain the process

The points scored by Cody will be 22 and by Erica be 15.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that Mr Carter administers a 30-point test. Cody scored 8 points less than Erica, and the total of Cody and Erica's scores was 37.

The two equations can be written as:-

C = 2E - 8

C + E = 37

2E - 8 + E = 37

3E = 45

E = 45 /3

E = 15

C = 30 - 8

C = 22

Therefore, Cody will score 22 points, while Erica will score 15.

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The difference of the amounts spent by Jackson and Tim is given by the following expression:

p - 5.10.

Considering p as the price per pound of cherries, the expression for Jackson is given as follows:

J(p) = 8.45 + 5p.

Tim buys a pineapple for ​$3.35 and 4 pounds of cherries, hence the expression is given as follows:

T(p) = 3.35 + 4p.

Then the difference is given as follows:

J(p) - T(p) = 8.45 + 5p - (3.35 + 4p)

J(p) - T(p) = 8.45 + 5p - 3.35 - 4p

J(p) - T(p) = p - 5.10.

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Answer:

The answer to this question is DECAY!

Step-by-step explanation:

this is decay because the decimal is below one if it was above one this would be growth.

good luck!

Answer: D.) 14

Step-by-step explanation:

First, you first calculate the square root of 64 , this gives you 8

Next, you calculate the square root of 36, which gives you 6

Then, since you are asked to add the two, you add 8 + 6 since this is the simplified version of the original equation.

8 + 6 = 14

Therefore, your answer is D.) 14

Answer:

43%

Step-by-step explanation:

Something to do with msth not sure js smart wnough to guess it but trust me thats the answer