Nolan rides his bike 63 miles in 270 minutes. What is his average speed in miles per hour?

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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Answer: 50x + 0.25t

Step-by-step explanation:

trust, cmon man

Answer:

50+.25(x)

Step-by-step explanation:

We can write the amount of cards that Luis keep as:

For Roberto, this is:

(x is the amount of cards Luis gave, so 3x is the amount of cards Roberto gave away)

We know that the amount kept by the two is the same, so we have:

The number of cards that Luis gave away is 15 cards.

Answer:

60 slices

Step-by-step explanation:

1 pizza = 10 slices

6 pizzas = 10 slices * 6 = 60 slices

The scoring above 23 on the mathematics portion of the exam is 1.327.

We are given that;

Total students = 200

Now,

The formula for the test statistic is:

t = (x - u) / (s / n)

where X is the sample mean, u is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the values given in the question, we get:

\(t = (23.3 - 23) / (3.2 / √200)\)

t = 0.3 / 0.226 t = 1.327

Therefore, by Statistics the answer will be 1.327.

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Answer:

Take 148÷37. Which equals 4. The answer is C.

The correct option for the function in this problem is:

D- An exponential function is appropriate to model this scenario because, at the end of each year after purchase, the value of the equipment was 0.9 times its value 1 year before.

A decaying exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

For this problem, during each 1 -year period after the equipment was purchased, the value of the equipment at the end of the period was 10% less than its value at the beginning of the period, hence r = 0.1 and the equation is:

\(A(t) = A(0)(1 - 0.1)^t\)

\(A(t) = A(0)(0.9)^t\)

Which means that option D is correct.

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Answer: 1.To find the mean, we sum up all the scores and divide by the number of scores:

Mean = (5 + 12 + 8 + 14 + 11) / 5 = 50 / 5 = 10

To find the variance, we first find the deviation of each score from the mean:

5 - 10 = -5

12 - 10 = 2

8 - 10 = -2

14 - 10 = 4

11 - 10 = 1

We square each deviation and sum them up:

(-5)^2 + 2^2 + (-2)^2 + 4^2 + 1^2 = 26

Then, we divide by the number of scores to find the variance:

Variance = 26 / 5 = 5.2

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √5.2 = 2.28

2. To construct a simple random sample of size 2, we can choose any two scores from the population. The number of ways to do this is given by the combination formula:

C(5,2) = 5! / (2! * (5 - 2)!) = 10

Therefore, there are 10 simple random samples of size 2 that can be constructed.

3.The mean of the sampling distribution of the sample means is equal to the population mean, which we found to be 10. The variance of the sampling distribution is equal to the population variance divided by the sample size:

Variance of sampling distribution = Variance / Sample size = 5.2 / 2 = 2.6

The standard error of the sampling distribution is the square root of the variance:

Standard error = √2.6 = 1.61

4.The variance of the sampling distribution is 2.6, as we found in part

5. Since this is considered to be data from a simple random sample, we can use the sample mean as a point estimate of the population mean. Therefore, the point estimate of the population mean is 10.

Similarly, we can use the sample variance as a point estimate of the population variance. However, we need to correct for the bias in the sample variance by dividing by (n-1) instead of n:

Point estimate of population variance = Variance * (n / (n-1)) = 5.2 * (5 / 4) = 6.5

Step-by-step explanation:

Answer:

3y = 80v - x

Step-by-step explanation:

she need to change the operation. x should be –

Using trigonometric ratios, the sin, cos and tangent of angle z are 24/25, 7/25 and 24/7 respectively.

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and are defined as the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

In the given problem, we have all the sides and we simply need to find the trigonometric ratio of angle z.

for angle z;

sin(Z) = opposite / hypothenuse = 24 / 25

cos(Z) = adjacent / hypothenuse = 7/25

tan(Z) = opposite / adjacent = 24 / 7

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Answer:

D.12

Step-by-step explanation:

College brother told me its 12 which is D.

Answer:x=1

Step-by-step explanation:

The minimum age of Johnny is 21 as calculated by linear inequality.

Let Johnny 's age be x.

hence bobby's age = (x+5)/2

Now the sum of their ages is over 66 years.

So we will set an inequality to find the minimum age of Johnny.

x + (x+5)/2 > 66

or, 2x + x + 5 > 66

or, 3x > 61

or, x > 20 1/3

Therefore age cannot be fraction hence the minimum age of Johnny is 21 years.

In mathematics, an inequality is a connection that makes an unequal comparison between two numbers and maybe other mathematical expressions. On that number line, size comparisons between two numbers are typically done. Different notations can be used to represent various kinds of inequalities, including:

A is smaller than b, as shown by the symbol a < b.

When the expression a > b is employed, it means that a is greater than b.

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Answer:

1.25 potatoes

Step-by-step explanation:

When dicing you need 1.25 potatoes to reach the 1 cup mark.

38 inches.

(3 x 12) + 2 = 38 inches.

To evaluate f(-x) when f(x) = x/(x^2 + 1), we need to substitute -x for x in the function.

So f(-x) = (-x)/((-x)^2 + 1)

Simplifying the denominator we get:

f(-x) = (-x)/(x^2 + 1)

The function f(-x) is equivalent to the function f(x) with the x-value negated. The value of the function f(-x) is the same as the value of the function f(x) but with the x-value negated.

It's important to note that we can also express this as f(-x) = -f(x)

So the value of f(-x) is x/(x^2 + 1) with the x-value negated.

Answer:

yes

Step-by-step explanation:

simply substitute the x and y value coordinates in the equation.

4x-2y=6

4(1)-2(-1)=6

4+2=6

6=6

since it is true that 6=6,yes it is a solution

Answer:

300

Step-by-step explanation:

30+30+w+x+y+z = 360 (all angles round a point add up to 360)

Simplifying :

60 + w+x+y+z = 360

Subtracting 60 from both sides :

w+x+y+z = 300

Hope this helped and brainliest ?

Sum of entire angle=360°

so

Answer:

Step-by-step explanation:

4/mx

The money Jane will have after 20 years will be $2,233 in her account.

To calculate the money that Jane will earn in interest after 20 years, we must perform a rule of three as shown below.

According to the above, Jane will earn $1,233 in interest, which means that after 20 years she will have $2,233.

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(c) The argument is valid, and we can conclude that Penelope missed class because she got a detention.

(e) The argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.

(c) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:

Let "M(x)" be the predicate "x missed class", and "D(x)" be the predicate "x got a detention".

Hypotheses: M(Penelope), D(Penelope)

Conclusion: M(Penelope)

Using modus ponens, which states that if P implies Q and P is true, then Q must be true, we can conclude that M(Penelope) is true:

From M(Penelope) and "Every student who missed class got a detention", we have D(Penelope)

From D(Penelope), we have M(Penelope)

So, the argument is valid, and we can conclude that Penelope missed class because she got a detention.

(e) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:

Let "M(x)" be the predicate "x missed class", "D(x)" be the predicate "x got a detention", and "A(x)" be the predicate "x got an A".

Hypotheses: A(Penelope), ~D(Penelope)

Conclusion: ~M(Penelope)

Using modus tollens, which states that if P implies Q and Q is false, then P must be false,

we can conclude that M(Penelope) is false:

From A(Penelope) and "Every student who missed class or got a detention did not get an A",

we have ~M(Penelope) & ~D(Penelope)

From ~D(Penelope), we have ~M(Penelope)

So, the argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.

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Answer: y = 6, x = 5

Step-by-step explanation:

3x + 7y = 57 −6x + 2y = −18

2*(3x + 7y = 57)−6x + 2y = −186x+14y=114−6x+2y=−1816y=96y = 6

3x + 7(6) = 57 ; 3 x = 57 – 42 ; 3x = 15 ; x = 5

CHECK:−6(5) + 2(6) = −18 ; -30 + 12 = - 18 ; -18 -= -18

CORRECT! Solution Set: y = 6, x = 5

The solution of the given system of equations is y = 3, x = 10

We have given a system of linear equation

3x-7y=9.....(1)

3x-9y=3...(2)

1. The substitution method

2. The elimnation method

3. Graphing method

We use the elimination method

subtract equation 1 from  2

   3x - 7y = 9

-

    3x - 9y = 3

    0x+2y=6

2y=6...(3)

y=6/2=3

Use this value of y in equation 1 so we get,

3x-7y=9

plug value of y

3x-7(3)=9

3x-21=9

add like terms

3x=9+21

3x=30

divide bot side by 3

x=10

So the solution set is y=3 and x=10

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To calculate y, we use the sum() function with an argument of x < 5 to count the number of entries in x that are strictly less than 5. To calculate z, we use the sum() function with an argument of (x > -5) & (x < 5) to count the number of entries in x that are both greater than -5 and less than 5.

y = sum(x < 5)

z = sum((x > -5) & (x < 5))

y = sum(x < 5)

 = sum(TRUE, FALSE, FALSE, TRUE, FALSE, FALSE, TRUE, FALSE, TRUE, TRUE, TRUE, FALSE)

 = 5

z = sum((x > -5) & (x < 5))

 = sum(TRUE, FALSE, FALSE, TRUE, FALSE, FALSE, TRUE, FALSE, TRUE, FALSE, TRUE, FALSE)

 = 4

The first variable, y, is the number of entries of x that are strictly less than 5. To calculate y, we can use the sum() function with an argument of x < 5. This will count the number of entries in x that are less than 5. For example, if

x <- c(-5, 7, 9, 3, 14, 9, 5, 10, 2, -2, 0, 12), then y will be equal to 6 because there are 6 entries in x that are strictly less than 5.

The second variable, z, is the number of entries of x that are strictly between -5 and 5. To calculate z, we can use the sum() function with an argument of (x > -5) & (x < 5). This will count the number of entries in x that are both greater than -5 and less than 5. For our example, z will be equal to 4 because there are 4 entries in x that are strictly between -5 and 5.

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Answer:

C. -4

Step-by-step explanation:

65+79+40+x=180 because sum if angles in a triangle is equal to 180

184+x=180

x=180-184

x=-4

Answer:

(-8, -2)

Step-by-step explanation:

Subtract 2 from -6, so -6 -2 which gives -8.

Subtract 3 from 1 so, 3-1 = -2.

Answer:I just had to do this in Math class and the answer is (-8,-2)

Step-by-step explanation:

Answer:

y=1/2+3

Step-by-step explanation:

For the first one, 0 and 3. 0/2 is not possible so we just add 3.

Second, 1/2 is 0.5 of 1/2. Plus 3 is 3 1/2.

Third, 2/2 = 1 + 3 = 4.

And last, 3/2 = 1.5 or 1 1/2. 1 1/2 + 3 is 4 1/2

--

Hope this helps!

A sample size of 873 is required to meet the specified margin of error.

Calculate the z-score associated with a 90% confidence level:

The z-score associated with a 90% confidence level is 1.645.

Calculate the margin of error:

The margin of error = z-score × standard error

Standard error =  √(p × (1-p × )/n)

The margin of error = 1.645 × √(0.4(1-0.4)/n)

Solve for n:

To solve for n, rearrange the equation and solve for n.

n = (1.645 × √(0.4(1-0.4))/0.03)2

Calculate the sample size:

n = (1.645 × √(0.4(1-0.4))/0.03)2

n = 872.09

Round the sample size up:

Since the sample size cannot be a fraction, the sample size must be rounded up.

Calculate the sample size:

The sample size must be rounded up to 873.

Hence, to satisfy the desired margin of error, a sample size no smaller than 873 is needed.

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The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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Answer:

Step-by-step explanation:

First, simplify the question.

8 1/2 - [ 3 1/6 ÷ 5 1/3 + 11-(3 - 5/4 - 5/8 }]

then solve