16 x 7 = (10x7) + (6 x p)

Solving the equation: x - 1/x = 15/13

We will see that the value of x is 28/13

For a number x, we define the reciprocal number as 1/x.

We know that the difference between theses two is 15/13, then we can write:

x - 1/x = 15/13

(x² - x)/x = 15/13

(x² - x) = (15/13)*x

x² - x - (15/13)*x = 0

x² - (1 + 15/13)*x = 0

x² - (28/13)*x = 0

x*(x - 28/13) = 0

x = 0 is not a solution, because 1/x exists, then the solution is x = 28/13.

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The nonresponse caused the results of the survey to be biased as C. Those who did not respond caused a violation of the assumption of independence.

It should be noted that each person in a simple random sample of 1,200 received a survey, and 325 people returned their survey. How could nonresponse cause the results of the survey to be biased?

In this case, the nonresponse caused rhe results of the survey to be biased as those who did not respond caused a violation of the assumption of independence. Those who did not respond may differ in some important way from those who did respond

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Answer:  $81.60

Step-by-step explanation:

Bill: $68.00

Tip: $13.60

Total: $81.60

Answer:

81.60

Step-by-step explanation:

Find the total amount of the bill

First, determine the amount of the tip

68 * 20%

68 * .2

13.60

Add this to the bill

68 + 13.6

81.60

Answer:

9.9\(cm^{3}\)

Step-by-step explanation:

Formula:

1/3(area of the base x height)

1/3 [2.175(2.175)(6.3)]

1/3(4.730625)(6.3)

1/3(29.8029375)

9.9343125

Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square.  The area of the square, we need to multiply 2.175 by 2.175.

9.9343125 rounded to the nearest tenth is 9.9

Helping in the name of Jesus.

Answer:

P = \(\frac{40}{V}\)

Step-by-step explanation:

given P is inversely proportional to V then the equation relating them is

P = \(\frac{k}{V}\)

to find k use the condition when V = 8 , P = 5 , then

5 = \(\frac{k}{8}\) ( multiply both sides by 8 to clear the fraction )

40 = k

P = \(\frac{40}{V}\) ← equation of proportion

Answer:

P = 40/V.

Step-by-step explanation:

P = k/V where k is a constant

Substituting the given values:

5 = k/8

k = 5*8 = 40.

So the formula is:

P = 40/V

To determine the theoretical atomic radius of iron with a body-centered cubic (BCC) crystal structure and a cell dimension of 2.86 Å, we will follow these steps:

1. Remember that in a BCC structure, the atoms touch along the body diagonal of the unit cell.
2. The body diagonal length (d) can be found using the formula d = √3 * a, where a is the cell dimension (2.86 Å).
3. In a BCC structure, the body diagonal is equal to 4 times the atomic radius (r), so we can write d = 4r.
4. Combine steps 2 and 3, and solve for the atomic radius (r).

Let's calculate the atomic radius of iron:

1. d = √3 * 2.86 Å ≈ 4.95 Å
2. 4.95 Å = 4r
3. r ≈ 1.24 Å

So, the theoretical atomic radius of iron in a BCC crystal structure with a cell dimension of 2.86 Å is approximately 1.24 Å (Option C).

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Test statistic is 0.42.

Given

Testing:

h0 : p = 0.74

h1 : p < 0.74

Successes x = 33

Subject n = 43

A test statistic is a number calculated by a statistical test. It describes how far your observed data is from the null hypothesis of no relationship between variables or no difference among sample groups.

It measures the accuracy of the predicted data distribution relating to the null hypothesis you use when analyzing data samples.

Test statistics z = \(\frac{p_{hat} - p}{\sqrt{\frac{p(1-p)}{n} } }\)

Where \(p_{hat}\) = Sample proportion = \(\frac{x}{n}\)

p = population proportion

n = sample size

z = \(\frac{(\frac{33}{43})-0.74 }{\sqrt{\frac{0.74(1-0.74)}{43} } }\)

z = 0.42

Hence,

Test statistics is 0.42..

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To calculate the slope between 2 points we use the following equation:

Replacing the points:

In this case, when we find an infinite slope, it means that it is a line parallel to the Y axis. All parallel lines have the same slope.

For the perpendicular case, the slope is equal to:

For the perpendicular case, the slope is zero and would equal one parallel to the X axis.

Answer:

Step-by-step explanation:

The question is asking us to find the slope.

First, we will find the slope of the line that passes through (4,8) and (4,6).

We'll use the slope formula:

\(\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data :

\(\bf{m=\dfrac{6-8}{4-4}}\)

\(\bf{m=\dfrac{-2}{0}}\)

\(\bf{m=not\:de fined}\)

If a line's slope is not defined, then it's a vertical line:

                                       \(\rule{1}{350}\)

------

Now, what is the slope of a line that's parallel to the one above? Well, since parallel lines have equal slopes, that one will have an undefined slope too.

As for perpendicular lines, they have slopes that are negative reciprocals of each other. We got that the slope is -2/0. The negative reciprocal of that is 0/2, which simplifies to 0.

Alternatively, you could look at it this way: a horizontal line (a line with zero slope) is perpendicular to a vertical line. So the slope of that line is m = 0.

\(\rule{350}{1}\)

Answer:

It will take them 7.89 days

Answer:

Step-by-step explanation:

Base is right triangle, so:

B = ¹/₂•4•6 = 12 mm²

H = 7 mm

V = ¹/₃•B•H

V = ¹/₃•12•7 = 4•7 = 28 mm³

Answer:

V=28 mm³

Step-by-step explanation:

V= volume of the pyramide

G = square of the triangle

h = high of the pyramide

V = 1/3 * G* h

G=1/2 *a*b

G = 1/2 * 6 * 4

G = 12

V= 1/3 *12*7

V=28 mm³

Answer:

True

Step-by-step explanation:

because without points there would be no midpoint

P(∅) = 0, P(A∪B) = 0.4 , P(A∩B) = 0.1 ,Since the sample space is not defined in the question, we cannot calculate P(B'). Therefore, we cannot calculate P(A∩B').and  P(A∪B) = 0.4. are the required solutions ofgiven probability check .

a. The probability of an empty set is always zero. Therefore, P(∅) = 0.

b. The probability of the union of two events, A and B, is given by the formula P(A∪B) = P(A) + P(B) - P(A∩B). Substituting the values given in the question, we get:

P(A∪B) = P(A) + P(B) - P(A∩B)

= 0.3 + 0.2 - 0.1

= 0.4

Therefore, P(A∪B) = 0.4.

c. The probability of the intersection of A and B is given by the formula P(A∩B). Substituting the values given in the question, we get:

P(A∩B) = 0.1

Therefore, P(A∩B) = 0.1.

d. The probability of the intersection of A and the complement of B is given by the formula P(A∩B'). The complement of B is the set of all outcomes that are not in B. Since the sample space is not defined in the question, we cannot calculate P(B'). Therefore, we cannot calculate P(A∩B').

e. The probability of the union of A and B is given by the formula P(A∪B). Substituting the values given in the question, we get:

P(A∪B) = P(A) + P(B) - P(A∩B)

= 0.3 + 0.2 - 0.1

= 0.4

Therefore, P(A∪B) = 0.4.

In probability theory, the union of two events A and B is the set of outcomes that belong to either A or B or both. The intersection of two events A and B is the set of outcomes that belong to both A and B. The complement of an event A is the set of outcomes that do not belong to A. These concepts are fundamental in probability theory and are used extensively in solving various problems.

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Answer:

one equation is 37+109

Step-by-step explanation:

I hope this helps. I hope this is what you are looking for. I am sorry if it isn't.

Answer: 216 + 6^2 = 252

Step-by-step explanation:

Answer:

1. 6

2. 8

3. 80

4. 11

5. 60

6. 3

7. 30

8. 0.8

9. 5

10. 600

11. 150

12. 110

13. 15

14. 1.1

15. 36

Hope it helps

Answer:

I think 40 I could be wrong

Answer:

5 degrees dropped per hrhour

Step-by-step explanation:

60/12 is equal to 5/1.

This is just a matter of simplifying.

The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

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Using the substitution method the solution for the system of equations is (x, y) = (7, 6).

The given system of equations is:

2x + y = 20 ---(1)

−5y = −6x + 12 ---(2)

We can use the substitution method to solve this system of equations.

Step 1: Solve one of the equations for one of the variables in terms of the other variable.

Let's solve equation (2) for y:

−5y = −6x + 12

Divide both sides by -5:

y = (6/5)x - 12/5

Step 2: Substitute the expression we found for y into the other equation and solve for x.

Substitute (6/5)x - 12/5 for y in equation (1):

2x + (6/5)x - 12/5 = 20

Multiply both sides by 5 to get rid of the denominator:

10x + 6x - 12 = 100

Combine like terms:

16x = 112

Divide both sides by 16:

x = 7

Step 3: Substitute the value of x into one of the original equations and solve for y.

Let's use equation (2) since we already solved for y in terms of x:

−5y = −6(7) + 12

−5y = −30

Divide both sides by −5:

y = 6

Therefore, the solution for the system of equations is (x, y) = (7, 6).

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Answer:

The answer is A) x ≥ -14

Step-by-step explanation:

Hope this helps! Please give Brainliest!!

The function f(x) = 0.3(1.05)x represents exponential growth.

Option (C) is correct.

What is an exponential function?

An exponential function is a mathematical function of the form f(x) = ab^x, where 'a' and 'b' are constants, and 'x' is a variable. The base 'b' is a positive constant and is raised to the power 'x', which can be a real number. The constant 'a' is the initial value of the function when x = 0

Exponential growth is a pattern of increasing quantity where the rate of change is proportional to the current value.

Option A represents exponential decay because the base, 0.75, is between 0 and 1.

Option B is a linear function because the variable x has a coefficient of 1.

Option C represents exponential growth because the base, 1.05, is greater than 1.

Option D is a linear function because the variable x has a coefficient of 0.2.

Therefore, the function f(x) = 0.3(1.05)x represents exponential growth.

Option (C) is correct.

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Answer: the anwser is B

Step-by-step explanation:

Answer:

Grace, jonah,D'angelo,then Katie.

First,Grace because she finished it 100%

Next,it's Jonah because he finished it 2/3 the way meaning about around 70% of the work.

Then, D'angelo because he completed five more than Katie.

Last,Katie because she was less than jonah.She had 40 but D'angelo had five more than her

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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Answer:

B. One-third

Step-by-step explanation:

First choose two of the points given.

(0,-5) and (3,-4)

Use slope formula.

\(\frac{y2-y1}{x2-x1}\)

\(\frac{-4+5}{3-0}=\frac{1}{3}\)

Hope this helps!

If not, I am sorry.

Answer:

b. 1/3

Step-by-step explanation:

flash = best show

The instantaneous rate of change at x = 5 is 375.

The average rate of change between x₁ = 3 and x₂ = 5 is 116

a) The formula to calculate the average rate of change is given by:

Average rate of change between two points = (f(x₂) - f(x₁))/(x₂ - x₁)

We are given the function y = 5x³ - 4.

Substituting the given values in the formula, we get:

Average rate of change between x₁ = 3 and

x₂ = 5

    = [f(5) - f(3)]/(5 - 3)

    = [(5(5)³ - 4) - (5(3)³ - 4)]/2

    = [625 - 161]/2

    = 232/2

    = 116

Thus, the average rate of change between x₁ = 3 and x₂ = 5 is 116.

b) To calculate the instantaneous rate of change at x = 5, we need to use the difference quotient formula. It is given by:

f'(x) = lim (h → 0) (f(x + h) - f(x))/h

We are given the function y = 5x³ - 4.

Substituting the given values in the formula, we get:

f'(5) = lim (h → 0) [(5(5 + h)³ - 4) - (5(5)³ - 4)]/h

      = lim (h → 0) [(5(125 + 75h + 15h² + h³) - 4) - (625 - 4)]/h

      = lim (h → 0) [(625 + 375h + 75h² + h³ - 4) - 621]/h

      = lim (h → 0) (375h + 75h² + h³)/h

      = lim (h → 0) (375 + 75h + h²)

The limit exists at h = 0.

Thus, substituting h = 0 in the expression, we get:f'(5) = 375

Thus, the instantaneous rate of change at x = 5 is 375.

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Answer:

the tetrahedron has two bases

Step-by-step explanation:

a tetrahedron has only one bases which is a triangle

so this is not true

hope this helps

9514 1404 393

Answer:

  ∠C = 48°

Step-by-step explanation:

The two triangles are congruent by ASA. (The common side BD is between the angles marked congruent.) This means angles A and C have the same measure.

Angle A plus the two given angles will total 180°.

  ∠A = 180° -70° -62° = 48°

  ∠A = ∠C = 48°

Answer:

c=48°

Step-by-step explanation:

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