you plan to run 2 miles but only make it 3/4 of the way how many miles did you run in total

If the total value of his change is 620 cents, the man has 12 dimes and 20 quarters in his pocket.

Let's assume that the man has x dimes and y quarters in his pocket. We know that he has 32 coins in total,

x + y = 32.

We also know that the total value of his change is 620 cents, which can be expressed as

10x + 25y = 620.

To solve for x and y, we can use either substitution or elimination. Let's use substitution. Solving the first equation for x, we get

x = 32 - y.

Substituting this into the second equation, we get

10(32 - y) + 25y = 620

Simplifying this equation, we get

320 - 10y + 25y = 620

which yields

15y = 300.

Therefore, y = 20, and x = 32 - 20 = 12.

So the man has 12 dimes and 20 quarters in his pocket. We can check that this is correct by verifying that

12(10) + 20(25)

= 120 + 500

= 620.

In summary, we can solve the problem by setting up a system of equations, either using substitution or elimination to solve for the variables, and then checking our answer to make sure it is correct.

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The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Answer:

please make brainiest

The value of an investment of $10,000 for 11 years at an annual interest rate of 4.55% compounded continuously is approximately $15,177.96.

When an investment is compounded continuously, we use the formula for continuous compound interest, which is given by the equation A = P*e^(rt), where A is the final amount, P is the principal amount (initial investment), e is the base of the natural logarithm (approximately 2.71828), r is the annual interest rate (expressed as a decimal), and t is the time in years.

In this case, the principal amount P is $10,000, the annual interest rate r is 4.55% (or 0.0455 as a decimal), and the time period t is 11 years. Plugging these values into the formula, we get A = $10,000e^(0.045511) ≈ $15,177.96. Therefore, the value of the investment after 11 years is approximately $15,177.96.

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Answer:

C≈25.13ft

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·8≈25.13274ft

Answer: 3x² - 2x - 5

Step-by-step explanation:

The area of a rectangle is simply length * width.  Thus, simply multiply them, and FOIL.

(3x - 5) (x + 1)

3x ^2 + 3x - 5x - 5

Combine like terms

3x² - 2x - 5

Hope it helps :) and let me know if you want me to elaborate.

Answer:

let's start.

Step-by-step explanation:

                         \(\frac{(1+tanx)}{sinx} -secx = cscx\\\)

we can write it as

                        \(\frac{(1 + tanx)}{sinx} = cscx + secx\)

starting with left hand side

LHS    

       \(\frac{(1 + tanx)}{sinx}\)

      \(\frac{1}{sinx} + \frac{tanx}{sinx}\\\\cscx + tanx *\frac{1}{sinx}\\\\cscx + \frac{sinx}{cosx} *\frac{1}{sinx}\\\\cscx + \frac{1}{cosx}\\\\cscx + secx\)  

∴ LHS = RHS

hence,   proved        

Answer:

See below

Step-by-step explanation:

After a reflection across the y-axis, the point keeps the same y-coordinate and changes the sign of the x-coordinate.

So, after reflecting point D across the y-coordinate, its image will be:

D'(-7, -5)

Answer:

(a) 22cm^2

Step-by-step explanation:

(a) 6*3=18

2*2=4

4+18=22

9514 1404 393

Answer:

  (x +3)(x -3)(x +2i)(x -2i)

Step-by-step explanation:

The factoring to quadratics makes use of the fact that -36 = (-9)(4).

  x^4 -5x^2 -36

  = x^4 -9x^2 +4x^2 -36

  = x^2(x^2 -9) +4(x^2 -9)

  = (x^2 +4)(x^2 -9)

The form for factoring the difference of squares comes into play here. Of course -4 = (2i)^2.

  = (x^2 -(2i)^2)(x^2 -3^2)

  = (x -2i)(x +2i)(x -3)(x +3) . . . factored to linear terms

The value of the standard deviation depends on the value of the mean.

As per the given data, we have to determine that the value of the standard deviation depends on the value of the mean

Yes, the value of the standard deviation depends on the value of the mean.

Because you have to know the mean to calculate the standard deviation.

The size of the standard deviation of a data set depends on what the mean is because the calculation of the mean is essential for calculating Standard Deviation.

The standard deviation determines how much the values deviate from the mean.

Besides, Standard deviation in simple terms means the deviation of data from the Mean.

The most popular way to assess dispersion is standard deviation, which is based on all values. As a result, even a small change in one value can modify the standard deviation's value.

Hence, Standard Deviation depends on the Mean.

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Answer:

Maximum-opens down

Step-by-step explanation:

The two pairs of Adjacent angles in the figure are:

∠1 and ∠3, ∠3 and ∠7.

The correct option is c.

In the given diagram with two intersecting lines and angles ∠1, ∠3, ∠5, and ∠7, the adjacent angle pairs are as follows:

Adjacent angles to ∠1:

∠1 and ∠5

∠1 and ∠3

Adjacent angles to ∠3:

∠3 and ∠1

∠3 and ∠7

Adjacent angles to ∠5:

∠5 and ∠1

∠5 and ∠7

Adjacent angles to ∠7:

∠7 and ∠3

∠7 and ∠5

Adjacent angles are angles that share a common side and a common vertex, where the vertex is the point of intersection between the two lines. In this case, the adjacent angle pairs can be identified based on their relationship to each angle (∠1, ∠3, ∠5, ∠7) and the intersecting lines.

from the given choices,

∠1 and ∠3, ∠3 and ∠7

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The System of Equation to represent the situation is:

x+ y = 28

x - y =4

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The sum of ages of two siblings add up to 28 years.

and, the difference of their ages is 4.

If "x" the older brother age and with "y" the younger brother age.

then, the system of equations are

x+ y = 28

x - y =4

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The Translation of Question attached here:

The ages of two siblings add up to 28 years and their difference is four years. What would be the system of equations that represents the problem? Suggestion represent with "x" the older brother and with "y" the younger brother

Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6, then the random in this context is option (D) That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

Here a six sided die is rolling fairly

The sample space = { 1,2,3,4,5,6}

Sample space of the experiment is the all the possible outcomes of the experiment.

Here 1, 2, 3, 4, 5 and 6 are the random outcomes of the experiment

Hence, rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6, then the random in this context is option (D) That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

The complete question is:

Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6. Explain what random means in this context? Choose the correct answer below.

a. That if a 1 is rolled it that means that each other number was not rolled.

b. That the only possible outcomes are​ 1, 2,​ 3, 4,​ 5, and 6.

c. That each result will not be influenced by the previous result of the die roll.

d. That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

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For the given system of equations 3x + 2y = 19 and x + y = 8 , the value of y is equal to 5.

As given in the question,

Given system of equations are :

3x + 2y = 19   ___(1)

x + y = 8        ___(2)

Simplify the given system of equations to get the value of y we have,

Multiply equation (2) by 3 and eliminate variable x by subtracting (1) from it and get the value of y ,

3x + 3y = 24

3x + 2y = 19

0x + 1y = 5

This implies y is equal to 5.

Therefore, for the given system of equations 3x + 2y = 19 and x + y = 8 , the value of y is equal to 5.

The complete question is :

Simplify the given system of equations to find the value of y:

3x + 2y = 19 and x + y = 8.

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The amount of space that the flower pot will take up is: 38.47 cm²

We are given that the bottom of the given flower pot has a diameter of 7 cm.

Now, the space that the flower pot will cover is simply the area the the circle base.

Formula for the area of a circle is:

A = πr²

where:

A is area

r is radius

We have d = 7 cm

Thus: r = 7/2 = 3.5 cm

A =  π * 3.5²

A = 3.14 * 3.5²

A = 38.47 cm²

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Juan can buy 3 roses and 9 carnations for a total cost of $18, which meets his conditions.

Let x be the number of roses Juan buys and y be the number of carnations he buys.

From the problem statement, we know that:

y = 3x (Juan wants to buy 3 times as many carnations as roses)

3x + 1.5y = 6x (Juan wants to spend all his money on flowers)

Substituting y = 3x into the second equation gives:

3x + 1.5(3x) = 6x

Simplifying this equation gives:

6x = 6x

This equation is true for all values of x, which means there are infinitely many solutions. However, we need to check if there is a viable solution that meets Juan's conditions.

Since Juan wants to spend all his money, we know that the total cost of the flowers must be $18. So we have:

3x + 1.5y = 18

Substituting y = 3x into this equation gives:

3x + 1.5(3x) = 18

Simplifying this equation gives:

6x = 18

x = 3

So Juan can buy 3 roses and 9 carnations for a total cost of $18, which meets his conditions.

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Probability for the number of correct answers  is fewer than 4 is 0.3993.

The probability that the number x of correct answers is fewer than 4 can be found using the binomial probability formula:

P(X = x) = (n choose x) * p^x * (1-p)^(n-x)

Where n is the number of trials, x is the number of successes, and p is the probability of success.

For this problem, n = 8, p = 0.45, and we want to find P(X < 4).

To find P(X < 4), we need to find the probability of 0, 1, 2, and 3 correct answers and add them together:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula, we can find each of these probabilities:

P(X = 0) = (8 choose 0) * 0.45^0 * (1-0.45)^(8-0) = 0.0059
P(X = 1) = (8 choose 1) * 0.45^1 * (1-0.45)^(8-1) = 0.0416
P(X = 2) = (8 choose 2) * 0.45^2 * (1-0.45)^(8-2) = 0.1275
P(X = 3) = (8 choose 3) * 0.45^3 * (1-0.45)^(8-3) = 0.2243

Adding these probabilities together, we get:

P(X < 4) = 0.0059 + 0.0416 + 0.1275 + 0.2243 = 0.3993

Therefore, the probability that the number x of correct answers is fewer than 4 is 0.3993.

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Answer:

It's pretty simple

Step-by-step explanation:

First divide 18 and 3 = 6

then divide 30 by 6 = 5

7 multiplied by 6 = 42

Then divide 48 divided by 6 = 8

10 multiplied 6 = 60

hope this works!

Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

Answer:

y= 35

Step-by-step explanation:

y directly proportional to x

where x= 2, y= 10

y=kx

10= k× 2

k= 10/2

k= 5

to find y when x is 7

y = kx

y = 5× 7

y= 35

Answer:

Below

Step-by-step explanation:

For the Quadratic Equation   - 16t^2+ 60t + 80

   the max value will occur at   t = - b/2a =  -60 / (2 * -16) = 1.875 s

     use this value f t in the equation to find max height = 136.25 ft

Answer:

3.6

Step-by-step explanation:

You can make this fraction 60/100, which will tell you that is 3.6. You can also use your calculator to divide 3/5 and it will give you .6 :)

Answer:what

Step-by-step explanation:what does this mean

Answer:

--5x

Step-by-step explanation:

The graph of the absolute function g(x) = -|x + 3| - 4 has vertex at (-3, -4) and touches the y -intercept at (0, -7)

The graph of an absolute value function is called an absolute value graph. The absolute value graph depicts the distance of a number from the origin. The graph of the absolute value function is symmetric about the y -axis. The graph of the absolute value function makes a right angle at the origin.

In this problem the function given is

g(x) = -|x + 3| - 4

To graph this function, we can use a graphing calculator which will enable us to plot all points accurately.

The graph touches the y -axis at (0, -7)

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The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

The ordered pair which is solution of 8x+16y > 32 is (-3,5) , the correct option is (b) .

In the question ,

it is given that ,

the linear inequality is 8x+16y > 32 .

to find the solution set ,

we substitute the options that are given

Option(a)

Substituting (0,2) in 8x+16y > 32 ,

we get ,

8(0) + 16(2) > 32

32 > 32 ,

false , hence it is not a solution .

Option(b)

Substituting (-3,5) in 8x+16y > 32 ,

we get ,

8(-3) + 16(5) > 32

-24 + 80 > 32

56 > 32

true , yes it is the solution .

Option(c)

Substituting (-1,1) in 8x+16y > 32 ,

we get ,

8(-1) + 16(1) > 32

-8 + 16 > 32

8 > 32

False , hence it is not a solution .

Option(d)

Substituting (4,0) in 8x+16y > 32 ,

we get ,

8(4) + 16(0) > 32

32 + 0 > 32

32 > 32

False , hence it is not a solution .

The only solution that satisfy the inequality is (-3,5) .

Therefore  , The ordered pair which is solution of 8x+16y > 32 is (-3,5) .

The given question is incomplete , the complete question is

Which ordered pair is in the solution set of 8x+16y > 32 ?

(a) (0,2)

(b) (-3,5)

(c) (-1,1)

(d) (4,0)

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Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).

A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.

By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).

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