A panda and a giraffe start moving towards each other when they are 300 feet apart. The panda is running at a speed of P feet per minute, and the giraffe is moving G feet per minute faster. How soon will they meet?

The left Riemman sum approximation for f(x) = x^5, between x = 0 and x = 5, considering 5 intervals, is given as follows:

5.3248.

First we must obtain the Delta value, which is the difference between the bounds of the integral, divided by the number of integrals, thus:

[tex]\Delta_x = \frac{b - a}{n} = \frac{2 - 0}{5} = 0.4[/tex]

Then the values of x at which the numeric values are calculated are obtained as follows:

[tex]x_i = a + \Delta_x(i - 1)[/tex]

Thus the values of x are of:

The numeric values are given as follows:

Then the Riemann sum approximation for the integral is given as follows:

[tex]\sum_{i = 1}^{n} \Delta_x f(x_i)[/tex]

Thus:

0.4(0 + 0.01024 + 0.32768 + 2.48832 + 10.48576) = 5.3248.

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Answer:

Step-by-step explanation:

You need to add both of the angles you already know (1 and 2). If you add angle 1 and angle 2 you get 74. This means m < J K M would be 74°.

Answer:

74 degrees

Step-by-step explanation:

You have to add angles 1 and 2

35 +39=74

Therefore, 74 is the answer

Answer:

D

Step-by-step explanation:

The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.

All of the inner angles and all of the vertices must be smaller than 180 degrees for a convex hexagon. There are both regular and irregular convex hexagons.

There are no angles inside a convex hexagon. More specifically, no internal angle may exceed 180 degrees. Any internal angle that exceeds 180 degrees is concave.

Let the side length be x

The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.

Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.

Let the equation be

2116(√2 + 1)  = x²√2 + x²

simplifying the above equation, we get

2116(√2 + 1)  = x²(√2 + 1)

2116 = x²

x = 46

Therefore, the value of AB exists 0.46.

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The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.

A convex hexagon requires that all of the inner angles and all of the vertices be smaller than 180 degrees. Convex hexagons come in both regular and irregular varieties.

The interior of a convex hexagon is flat. No internal angle may be greater than 180 degrees, to be more precise. Concavity is defined as an interior angle greater than 180 degrees.

Let the side length be x

The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.

Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.

Let the equation be

2116(√2 + 1)  = x²√2 + x²

simplifying the above equation, we get

2116(√2 + 1)  = x²(√2 + 1)

2116 = x²

By taking root both sides,

x = 46

Therefore, the value of AB exists 0.46.

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Answer:240 square feet

Step-by-step explanation:

Answer:240

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

28 / 140 = 0.20 which is 20%

Answer:

bottom left: -6 + (-1/3)

Step-by-step explanation:

hope this helps :)

answer:10

Step-by-step explanation:

the graph show it is 1 hour and shows 10 miles and it continues

Answer:

it should be that the miles are 10 times the amount of hours

Step-by-step explanation:

Considering that to bike 10 miles it took 1 hour and to bike 20 miles it took 2 hours it will continue going like that so the miles will always be 10 times the amount of hours

Answer:

48.2 in^3

Step-by-step explanation:

It'd be easier to calculate the volume if you'd change the mixed numbers to mixed numers with decimal fractions:

2 1/2 becomes 2.5

3 2/3 becomes 3.67

5 1/4 becomes 5.25

Then V = L*W*H, or

V = (5.25 in)(3.67 in)(2.5 in) = 48.2 in^3

The gradient of the linear equation 2x + 3y + 6 is (3/2).

The gradient of a linear equation in the form of y = mx + c is m, which represents the slope of the line. The slope is defined as the ratio of the change in y to the change in x. It represents the steepness of the line.

The equation 2x + 3y + 6 is not in the form of y = mx + c. It is in the form of Ax + By + C = 0, which is the general form of a linear equation. To find the gradient of such an equation we need to divide -A/B. In this case, the gradient of the line is -2/3.

The gradient of a line gives us the direction of the line, it is the slope of the line. It tells us how steep the line is and if it is going up or down. A positive gradient means the line is going up and a negative gradient means the line is going down.

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Answer: The first and third options are correct.

Step-by-step explanation:

x*x is x^2, because the ^2 simply means that the x is multiplying by itself

(Ex. if you had x^3, you would have x*x*x, or if you had x^4, you would have x*x*x*x and it goes the other way around as well, meaning x*x*x*x*x would be x^5)

Answer:

B. x²

Step-by-step explanation:

A number/variable multiplied by itself would be a power, in this case to the second power.

For example:

x*x*x = x³

Answer:

7m: multiplied by, times

x^2: squared, to the power of

2 - 4m: less than, difference

3r/b: quotient

4k + 7: increased by, more than, altogether

3(2 + y): multiplied by, per, product

good luck!!

Answer:

p = 81

Step-by-step explanation:

9 = [tex]\frac{p}{9}[/tex]  Multiply both sides by 9

9(9) = [tex]\frac{p}{9}[/tex][tex](\frac{9}{1})[/tex]  another name for 9  is [tex]\frac{9}{1}[/tex]

81 = p

Answer: x= -2, -3

Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

C. 12

Step-by-step explanation:

The deposit to be made to save $10,000 in 5 years is $8189.67 when compounded monthly.

Compound interest is interest on a loan or deposit that is calculated on both the principal amount and the interest accumulated in previous periods. It differs from simple interest, which is calculated on the principal only. Compound interest can be more favorable to the lender and more expensive to the borrower. The frequency of compounding (annual, quarterly, monthly, etc.) also affects the total amount of interest earned or paid.

Given that:

A = $10,000

r = 4% = 0.04

t = 5 years

n = 12 (since the compounding is monthly)

P = ?

The compound interest is given as follows:

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

Substituting the values in the formula we have:

[tex]10000= P(1+\frac{0.04}{12} )^{(12)(5)}\\\\10000= P(1+0.0033 )^{(60)}\\\\10000= P(1.0033 )^{(60)}\\\\10000= P(1.2185)\\\\P= \frac{10000}{1.2185} \\\\P=8189.67[/tex]

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The total cost for Ben to buy 1 binder and P pencils is 2.25 + 0.75 P.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Cost of a binder = 2.25

Cost of a pencil = 0.75

We have to find the total cost for Ben to buy 1 binder and P pencils.

Cost of 1 binder = 2.25

Cost of P pencils = 0.75 × P = 0.75 P

Total cost of 1 binder and P pencils = 2.25 + 0.75 P

Hence the total cost for Ben to buy 1 binder and P pencils is 2.25 + 0.75 P.

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Therefore , the solution of the given problem of equation comes out to be  [tex]x^{2}[/tex]-2x-37/(x-8) (x+5).

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Here,

Given :([tex]x^{2}[/tex]-2x-37)/([tex]x^{2}[/tex]-3x-40)

[tex]x^{2}[/tex]-3x-40

Factor[tex]x^{2}[/tex]-2x-37

[tex]x^{2}[/tex]-2x-37/(x-8) (x+5)

Thus ,

the factors comes out to be [tex]x^{2}[/tex]-2x-37/(x-8) (x+5)

Therefore , the solution of the given problem of equation comes out to be  [tex]x^{2}[/tex]-2x-37/(x-8) (x+5).

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Answer:

red

Step-by-step explanation:

Answer:

Since in this option the minute is paid at $0.40, the best option is 10 minutes for $ 4.

Step-by-step explanation:

Since four friends, Abe, Bob, Carl, and Darrel, are going to a fun park, and they want to ride go-karts, and the price to ride the go-karts is $ 2.15 for 5 minutes, $ 4.00 for 10 minutes, or $ 6.75 for 15 minutes, to determine which price is the best deal, the following calculations must be performed:

2.15 / 5 = 0.43

4/10 = 0.40

6.75 / 15 = 0.45

Therefore, since in this option the minute is paid at $ 0.40, the best option is 10 minutes for $ 4.

The upper bound and lower bound of a using the equation will result to

upper bound value 136015.499

lower bound value 136014.500

Evaluating the given expression a = b + 2c

where

b = 15 to 2 significant figures

c = 68 000 to 2 significant figures

solving for a

a = b + 2c

a = 15 + 2(68000)

a = 136015

The bound values

upper bond value is the largest possible vale of a

upper bond value = 136015.499

lower bound value is the lowest possible value of a

lower bound value = 136014.500

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We are given the expression:

[tex]\frac{\sqrt{2} }{3} = -\frac{2}{3} Sin\theta[/tex]

[tex]\sqrt{2}} = -2 Sin\theta[/tex]                                           [multiplying both sides by 3]

[tex]Sin\theta = \frac{\sqrt{2}}{-2}[/tex]                                                [Dividing both sides by -2]

[tex]Sin\theta = \frac{-1}{\sqrt{2}}[/tex]

which means:

[tex]\theta = Sin^{-1}(\frac{-1}{\sqrt{2}} )[/tex]

[tex]\theta = -Sin^{-1}(\frac{1}{\sqrt{2}} )[/tex]

θ = -45°                                                    [because [tex]Sin^{-1}(\frac{1}{\sqrt{2}})[/tex] = 45°]

Hence, the answer is -45° OR (360-45) = 315°

The median number of hurricanes per year reaching the East Coast from 1944 through 2000 is two.

Median number is the middle value of a set of numbers. It is the number found at the midpoint of a sorted data set, when all the numbers are arranged in numerical order from lowest to highest. The median number is used to determine the average of a set of numbers, and is often used to represent the central tendency of the data. To calculate the median, first arrange the numbers from lowest to highest, then locate the middle value. If there is an even number of values, the median is the average of the two middle numbers.

This is calculated by taking the middle value of the data set. In this case, there were 18 years with one hurricane, 16 years with two hurricanes, 13 years with three hurricanes, and six years with four hurricanes. Thus, the median number of hurricanes in this data set is two.

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Answer:

its 79 k(kkkkkkkkkkkkkkkkk

Answer:

79 i think

Step-by-step explanation:

The range between 3/16 & 3/8 is where the line plot with the difference of daily mileage logged by each racer in a group is still most obvious.

A line graph, liner plot, or line chart is a graph that uses lines to link the individual data points. For a specific time period, quantitative values are displayed as a line graph. Line graphs are widely used in finance to depict the past market movements of a securities or asset.

Here,

calculation

The number line indicates that there's more than or equal to 3 marks when there are 7 markings either on or to the right of 3. The fraction must first have the same denominators.

=> 3/8 x 2 = 6/16

=> 1/2 x 8 = 8/16, 3/8 x 2 = 6/16

=> 5/8 x 2 = 10/16, 1/2 x 8 = 8/16

Since they all have the same numerator, we can now compare them.

=> 3/16 - 1/16 = 2/16

=> 6/16 - 3/16 = 3/16

=> 8/16 - 6/16 - 2/16

=> 10/16 - 8/16 = 2/16

The largest distinction is between 3/16 and 3/8 (6/16 vs. 3/16).

The range between 3/16 and 3/8 is where the line plot with the difference in daily mileage logged by each runner in a group is most obvious.

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The complete question is " Coach Taylor asked his team to record the distance they ran during practice The line plot shows the number of miles the individual members in a group of runners run each day. How many runners run at least 3 miles per day?."

Answer:

Step-by-step explanation:

y=2x-5+2

then you do minus 2 on both sides

Hope this helped!

Step-by-step explanation:

divide 3 by 2 because that would be the radius and you need the radius to find the area so do 1.5 times 1.5 times pi (3.14ish) and you should get around 7.07 then times that by 20 because the jewler is making 20 of them and then you should get about 141.4 inches