What is the remainder when 316 is divided by 13?

Answer:

M(-3;3/2)

Step-by-step explanation:

substitute in this formula of finding midpoint coordinate:M(x1+x2÷2;y1+y2÷2)

The greatest percent error among the predictions time of the race is: 3.15 %

Although part of your question is missing, you might be referring to this dot plot that shows the predictions for the winning time (see image attached)

To solve this exercise, we have to apply the percentage formula:

Error (%) = [(prediction time – real time) / real time] * 100

Information about the problem:

Applying the percentage formula, we have:

Error (%) = [(prediction time – real time) / real time] * 100

Error (%) = [(22.9 seconds – 22.2 seconds) / 22.2 seconds] * 100

Error (%) = [(0.7 seconds) / 22.2 seconds] * 100

Error (%) = 0.0315 * 100

Error (%) = 3.15 %

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

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Option c is correct i.e., |81 - ( -29)|

On January 1, the high temperature was 81 F in Kona and the low temperature was - 29 F in Barrow.

We have to find the difference between the two temperatures.

So the difference between is

    = 81 - (- 29)

    = 81 + 29

    = 110

Therefore the difference the two temperatures is 110.

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The amount after 10 years is $11,842.43

In continuous compounding the number of times by which compounding occurs tends to infinity.

In order to calculate the amount use the following formula

A= Pe^rt

where P represents the initial amount, e is the mathematical constant having value 2.7182, r is the rate of interest and t is the time period

Here the principal amount is $6000, r is 6.8 and time period t is 10 years

A = $6000 x 2.718⁽¹⁰ ˣ ⁶·⁸ %⁾

A = 6000 x 2.718⁽¹⁰ ˣ ⁶·⁸÷¹⁰⁰⁾  

A = 6000 x 2.718 x 0.68

A = $ 11,842.43

Therefore the total amount calculated after 10 years is $ 11,842.43

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The value of the expression 8² + 3 × 78² + 3 × 7 will be 18337.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ 8² + 3 × 78² + 3 × 7

Simplify the expression, then we have

⇒ 8² + 3 × 78² + 3 × 7

⇒ 64 + 3 × 6084 + 21

⇒ 85 + 18252

⇒ 18337

The value of the expression 8² + 3 × 78² + 3 × 7 will be 18337.

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Answer:20

Step-by-step explanation:

We need to know about logarithm to solve this problem. The greatest integer that is less than the value of log 5 is 0.

Logarithm is the exponent that is raised to a base to get a certain number. There are a few rules of algorithm, log a+ log b can be written as log ab, log a -log b can be written as log a/b, when a number whose logarithm is being calculated is raised to a certain power then the power can be directly multiplied to the log itself. Logarithm when written as log has a base of 10, the logarithm of a number that is same as it's base is always 1, the log of 1 is always zero, because any nonzero number raised to 0 is 1.We will find the value of log 5 first and then choose the nearest integer that is less than log 5.

log 5=log 10/2 =log 10-log 2=1-0.30=0.7

Therefore the greatest integer that is less than the value of log 5 is 0.

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Answer:

2.8888722e+12

Step-by-step explanation:

calculator

Answer: 161+7n

Explanation: Let the number be n.

7(23+n)

=161+7n

Hope this helps you! Have a great day!!!!! :) :D

Let us organize the information first. The game consists in picking up a numbered duck. Let us denote the number of the duck as xx. The possible prizes are

1≤ x≤ 60 consolation prize

60 ≤ x ≤ 70 stuffed duck

70≤ x ≤ banana

We have 75 possible numbers equally likely to select, and 1111 outcomes where we win the stuffed duck

60, 61, 62, 63, 64, 65, 66, 67, 68, 69 and 70

Therefore, the probability of winning a stuffed duck is

p(60 ≤ x ≤ 70) = 11/75= 0.146

The event of not winning a duck or a banana is that of winning the consolation prize, that is, picking a number 1 ≤x ≤ 60.

Those are 59 equally likely to occur outcomes. Then we have

c= 59/75= 0.786

To check whether this result is right, we can use the complementary events law. That is, the probability of not winning a duck or a banana is 11 minus the sum of the probabilities of winning a duck or a banana. Mathematically this is

p (1 ≤ x ≤ 60) = 1-(p (60≤x≤70)+p(70≤x≤75)

p (1≤ x ≤ 60) = 0.786

which is a desired result.

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Answer:

10 = -6

Step-by-step explanation:

Answer:

X = - 39

Step-by-step explanation:

ANSWER: x+3x7/3 = - 6

Hope this helps u : )

Sum of all the positive integers from √14 to √80=30

Definition of a perfect square-A number system that can be stated as the square of a specific number from the same system is called a perfect square.Assume that N may be expressed as the product of x and x = x²,if x is a perfect square of a number N. Square roots can be used to understand this in another way. We compute the square root of a given number to determine if it is a perfect square or not. The supplied number is a perfect square if the square root is a whole number.However, if the square root value is not a whole number, the given number is not a perfect square.Now according to given question we have to find sum of all the positive inetegers between √14 to √80

∴Sum =30

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The result of the linear expression [tex]5-\frac{t}{3}[/tex] is 1.

What is linear expression?

An algebraic expression that uses either a constant or a variable raised to the first power for each term is known as a linear expression. This means that none of the exponents can be greater than 1.

Given [tex]5-\frac{t}{3}[/tex]

Also given that t = 12

Substitute the value of t and we get

[tex]5-\frac{12}{3}\\=5-4\\=1[/tex]

Therefore, the result of the linear expression [tex]5-\frac{t}{3}[/tex] is 1.

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The volume of the tepee is 100.48 feet³

The formula for the volume of tepee is same as the volume of cone which is given as :

               V = 1/3 πr²h        (1)

where V = volume

           r = radius of the tepee

           h = height of the tepee

According to the question we have been given that

            radius = 4 feet

             height = 6 feet

Putting the required values in equation (1) we get

                V = 1/3 π (4)²(6)

                   = 1/3 (3.14)(96)

                   = 301.44/3

                   = 100.48 feet³

Hence the volume of the tepee is  100.48 feet³

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The maximum value of the data is being incorrectly shown by the box plot diagram.

We are given the data:

93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86

We are also given the box plot diagram of the data which shows that:

Minimum value of the data = 74

Lower quartile = 83

Median quartile = 86.5

Upper quartile = 92.75

Maximum value = 99

We need to tell which is the wrong interpretation among these.

We can see that, the maximum value of the data is only 93 and not 99.

So, that is the wrong representation by the box plot.

Therefore, we get that, the maximum value of the data is being incorrectly shown by the box plot diagram.

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Graham drove 32.58 miles in one hour and it took 1.84 minutes to drive a mile

Miles Graham drove in 13 hours = 423 miles

Unitary method: A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. It is a technique that we employ for the majority of math calculations.

Part a:

Miles driven in one hour = Total miles driven/Total no. of hours taken

= 423/13 = 32.58 miles

Part b:

Hours took to drive a mile = Total no. of hours taken/ Total miles driven

= 13/423  = 0.030 hours or 1.84 minutes

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Ari loss 53.94% of his account balance for this live tv streaming service.

Given,

The charge for a live tv streaming service that is automatically deducted from Ari's bank account each month = $8.99

This deduction continues for 6 months.

We have to find the change in Ari's bank account after 6 months for this service.

Charge for 1 month = 8.99

Charge for 6 months = 6 × 8.99 = 53.94

That is if Ari had $100 in his account, now after 6 months 53.94% deducted for the tv streaming service charge.

Now, he has an account balance:

100 - 53.94 = 46.06

In terms of amount, he has an account balance of $46.06.

In terms of percentage,

Ari lost 53.94% from his account balance and now he has 46.06% account balance.

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Answer:

If 0.65 is a decimal, then as a fraction it would be 65/100. This can be simplified though. 65 and 100 are both divisble by 5.

100 divided by 5 is 20 and 65 divided by 5 is 13. This is as simplified as it can go, so the answer is 13/20.

For clarification the answer is

13/20

Step-by-step explanation:

The respective prices are given below as

The price of the sandwich is 20/3 dollars.

The salad may be purchased for a price of $16/3.

There is a fee of $2 for the drinks.

Let's say that the price of the sandwich is x.

Allow the price of salad to equal y.

Allow the price of drinks to equal z.

The new total for this meal is $46. It includes three sandwiches, three beers, and two salads. Thus;

3x + 3y + 2z = 40 ——- (eq 1)

The price of $29 covers two sandwiches, two drinks, and one salad.

Thus;

2x + 2y + z = 26 ——-(eq 2)

It will cost you $54 for four sandwiches, one drinks, and three salads. Thus;

4x + y + 3z = 38 ———-(eq 3)

The following are the results of concurrently solving the three equations:

x = 20/3

y = 16/3

z = 2

Therefore, the following is how much each item costs:

There is a charge of $20/3 for the sandwich.

The salad may be purchased for a price of $ 16/3.

There is a fee of $2 for the drinks.

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It will take 4.63 years to double the principal.

The formula for calculating the amount (A) on a principal (P) invested at the rate of r%, compounded continuously after t years is-

A = P[tex]e^{rt}[/tex]

Here r = 6.5%

= 0.065

Let the principal amount be P,

then the amount after t years = 2P

A = P[tex]e^{rt}[/tex]

2P = P[tex]e^{rt}[/tex]

2P/P = [tex]e^{rt}[/tex]

2 = [tex]e^{0.065t}[/tex]

Taking log on both sides-

Log 2 = log [tex]e^{0.065t}[/tex]

Log 2 = 0.065t log e

Log 2 = 0.065t

0.65t = Log 2t

= log 2/ 0.065t

= 0.301/ 0.065 t

= 4.63

Thus, it will take 4.63 years to double the principal.

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Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

y = 7x , that is y = 7x + 0 ← in slope-intercept form

with gradient 7 and y- intercept (0, 0 )

--------------------------------------------------------------

y = 6x - 8 ← is in slope- intercept form

with gradient 6 and y- intercept (0, - 8 )

Step-by-step explanation:

for the lengths of BC and AC we can count the squares, because the lengths of these lines are the sum of the side lengths of each inducing square.

1.

BC = 7 - -2 = 7 + 2 = 9 cm

2.

AC = 13 - 1 = 12 cm

3.

but for AB we cannot do that, because AB consists of the lengths of all the diagonals of the squares. and a diagonal must always be longer than any side.

just look at the triangle : it is clear that AB must be longer than AC.

no, for a line that goes across the grid squares we need other methods.

in our case, we have a right-angled triangle and can use Pythagoras

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs of the triangle (enclosing the 90° angle).

AB is in our case the Hypotenuse, and we get

AB² = 12² + 9² = 144 + 81 = 225

AB = sqrt(225) = 15 cm

4.

as explained, we used Pythagoras.

5.

the coordinates for a midpoint between 2 points (x1, y1) and (x2, y2) are simply

((x1+x2)/2, (y1+y2)/2)

A = (13, -2)

B = (1, 7)

C = (1, -2)

midpoint AC = ((13+1)/2, (-2 + -2)/2) = (14/2, -4/2) =

= (7, -2)

the x coordinate is 7.

6.

midpoint BC = ((1+1)/2, (7+ -2)/2) = (2/2, 5/2) = (1, 2.5)

the y coordinate is 2.5

7.

midpoint AB = ((13+1)/2, (-2+7)/2) = (14/2, 5/2) =

= (7, 2.5)

Answer:

Step-by-step explanation:

True

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Answer:

12

Step-by-step explanation:

Area of a triangle = 1/2*b*h

[tex]144=(\frac{1}{2})*(2x)*(x)\\12=x[/tex]

x=3.4

Im writing this bc the app says the answer is too short

The equation that shows how the total number of loads done, y, depends on how many weekdays have passed, x will be y = 3 + x.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario. It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.

In this case, Cohen family desperately needs to catch up on doing laundry. Over the weekend, Mr. and Mrs. Cohen got 3 loads done. Now, during the week, they plan to do 1 load per day.

The equation that shows how the total number of loads done, y, depends on how many weekdays have passed, x will be:

y = 3 + 1(x)

y = 3 + x

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