find 16,17 18 and 19

The value of b is 4 after solving the expression 2/b = 16/32, on cross multiplication, the answer is 4.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

2/b = 16/32

After cross multiplication:

32x2 = 16b

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

16b = 64

b = 64/16

b = 4

Thus, the value of b is 4 after solving the expression 2/b = 16/32, on cross multiplication, the answer is 4.

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In equation \(4^x = 2^{(-x):\) the equation simplifies to 3x = 0. Since log(2) is a positive constant, the only solution is x = 0. Therefore, there is only one solution for this equation.

To determine the number of solutions for each expression using algebra, we can analyze the behavior of the equations and look for intersections or common points between the two sides of the equation.

1. \(4^x = 2^{(-x)\):

Taking the logarithm of both sides with the same base, we have:

x log(4) = -x log(2)

2x log(2) + x log(2) = 0

3x log(2) = 0

Since log(2) is a positive constant, the only solution is x = 0. Therefore, there is only one solution for this equation.

2. 2x - 5 = \(3^x\) + 2:

We cannot solve this equation algebraically, but we can determine the number of solutions by analyzing the behavior of the two sides. By plotting the graphs of y = 2^x - 5 and y = 3^x + 2, we can observe the number of intersections.

Upon analyzing the graphs, we find that they intersect at one point. Therefore, there is one solution for this equation.

3. (3/2)x + 2 = \(2^x\) + 1:

Let's rearrange the equation:

(3/2)x -\(2^x\) = -1

By analyzing the behavior of the two sides, we find that they intersect at two points. Thus, there are two solutions for this equation.

4. 3x + 1 = \(2^{(-x)\):

Rearranging the equation:

3x + x = -1

4x = -1

x = -1/4

There is only one solution for this equation.

5. \(4^x + 2 = 3^x - 1\):

Rearranging the equation:

\(4^x - 3^x = -3\)

Thus, analyzing the behavior of the two sides, we find that they do not intersect. Therefore, there are no solutions for this equation.

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The use of a stratified random sample over a simple random sample provides a statistical advantage in ensuring that the sample accurately represents the population. Stratified random sampling involves dividing the population into subgroups or strata based on certain characteristics, such as age or income.

This allows for a more representative sample as it ensures that each stratum is represented proportionally in the sample. In contrast, a simple random sample does not take into account any characteristics or strata of the population, which may result in an unrepresentative sample. Therefore, the use of a stratified random sample provides a statistical advantage by reducing the potential for sampling bias and increasing the accuracy of the study's results.
In the context of your study, a statistical advantage of using a stratified random sample over a simple random sample is that it ensures greater representation and accuracy in the results.

In a stratified random sample, the population is first divided into distinct subgroups or strata based on specific characteristics, such as age, gender, or income. Then, a simple random sample is taken from each stratum. This method helps to better represent each subgroup in the sample, which in turn improves the overall accuracy of the results.

On the other hand, a simple random sample involves selecting individuals from the entire population without considering any specific characteristics. This approach may not adequately represent certain subgroups, leading to potential biases and less accurate results. In summary, stratified random sampling provides a statistical advantage over simple random sampling by ensuring a better representation of subgroups, leading to more accurate and reliable results.

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The correct answer is d. Y(t) = 2 cos 4t + 2 sin 4t.

The solution to the differential equation y" + 16y = 0, y(0) = 2, y'(0) = 8 is:

y(t) = 2 cos(4t) + (8/4) sin(4t) = 2 cos(4t) + 2 sin(4t)

To obtain this solution, we first find the characteristic equation:

r^2 + 16 = 0

Solving for r, we get:

r = ±4i

Thus, the general solution is:

y(t) = c1 cos(4t) + c2 sin(4t)

Using the initial conditions y(0) = 2 and y'(0) = 8, we get:

c1 = 2 and c2 = 2

Substituting these values, we get the solution:

y(t) = 2 cos(4t) + 2 sin(4t) = 2 cos(4t) + (8/4) sin(4t)

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Answer:

The correct answer is: 37.68ft^2

Step-by-step explanation:

Answer:

it a because digkjg

Step-by-step explanation:

1 goes to 2 adnd it stops like that

Answer:

64477 Square miles

Step-by-step explanation:

46055 × 1.4 = 64477 Square miles

Answer:

-1 = x              1 = x  

Step-by-step explanation:

We want to factor this first

-4x^2 = -4

x^2=1

sqrt x^2 = sqrt 1

x = ± 1

x=-1        x=1

The third side is between 33.33 and 132.83 yards long.

In Euclidean geometry, the triangle inequality is the theorem that states that the sum of any two sides of a triangle is greater than or equal to the third side. The theorem basically states that the shortest distance between two points is defined by a straight line.

The triangle inequality has a counterpart in other metric spaces, or spaces with a way to measure distances.

Given that the two sides of the triangle are 99-100 yards (say 99.5) and 33.33 yards, there is a triangle here. The third side's length must be determined using triangle inequality because it is not a right triangle.

The longer side, which is 99.5 yards long, must be shorter than the other two sides taken together. If c is on the second side, then

99.5 < 33.33 + c.

The side c must be longer than 33.33

The side c must be shorter than the sum of the other two sides:

c < 99.5 + 33.33.

c < 132.83

Combining both we will get that

33.33  <  c  <  132.83.

All possible lengths for the third side of the triangle are provided by this interval (33.33, 132.83).

Therefore, the length of the third side varies from 33.33 to 132.83.

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a. The point estimate of p1 - p2 is (290/1000) - (396/1200) = 0.29 - 0.33 = -0.04.
b. To make a 98% confidence interval for p1 - p2, we first need to calculate the standard error.

SE = sqrt(p1_hat*(1-p1_hat)/n1 + p2_hat*(1-p2_hat)/n2)
where p1_hat = x1/n1 and p2_hat = x2/n2.
Substituting the given values, we get
SE = sqrt((290/1000)*(1-290/1000)/1000 + (396/1200)*(1-396/1200)/1200) = 0.0231
The 98% confidence interval for p1 - p2 is (-0.04 ± 2.33(0.0231)) = (-0.092, 0.012).
c. To show the rejection and nonrejection regions on the sampling distribution of pˆ1 - pˆ2, we need to first calculate the standard error of pˆ1 - pˆ2.
SE(pˆ1 - pˆ2) = sqrt(p_hat*(1-p_hat)*(1/n1 + 1/n2))
where p_hat = (x1 + x2)/(n1 + n2).
Substituting the given values, we get
SE(pˆ1 - pˆ2) = sqrt((290+396)/(1000+1200)*(1-(290+396)/(1000+1200))*(1/1000 + 1/1200)) = 0.0243
Using a significance level of 1%, the rejection region is pˆ1 - pˆ2 < -2.33(0.0243) = -0.0564. The nonrejection region is pˆ1 - pˆ2 ≥ -0.0564.
d. The value of the test statistic z for the test of part c is (pˆ1 - pˆ2 - 0) / SE(pˆ1 - pˆ2) = (-0.04 - 0) / 0.0243 = -1.646.
e. At a significance level of 1%, the critical value for a one-tailed test is -2.33. Since the calculated test statistic (-1.646) does not fall in the rejection region (less than -0.0564), we fail to reject the null hypothesis. Therefore, we cannot conclude that p1 is less than p2 at a significance level of 1%.

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Answer:

f(2) = 1/8

Step-by-step explanation:

f(2) = (3 - (2))/((2)2 + 4)

f(2) = 1/8

For A: Bar graph; for B: Histogram; for C: Pie chart; and for D:  Bar graph would be appropriate graphical representations.

a. The number of sales for your online company on each of the seven days in the past week:

The best graphical display to use here would be a bar graph. This is because a bar graph is appropriate for showing the distribution of a categorical variable, and the days of the week can be considered a categorical variable. The bar graph can clearly show the number of sales for each day of the week, making it easy to compare sales across days.

b. The amounts of each of the sales on Monday of the past week:

A histogram would be the best choice for this scenario. A histogram is used to represent continuous data, and sales amounts are continuous data. The histogram can be used to show the frequency of sales amounts within a specific range, providing a clear visual representation of the distribution of sales amounts on Monday.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week:

A Pareto chart would be the best choice for this scenario. A Pareto chart is used to show the relative frequency or size of problems or categories, with the largest categories displayed on the left and the smallest on the right. The Pareto chart can clearly show the number of items bought by each customer, making it easy to see which customers made the most purchases.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week:

A bar graph would be the best choice for this scenario. This is because a bar graph can clearly show the distribution of the total sales amount for each customer, making it easy to compare the total sales among customers.

"

Complete question

Which graphical display should you use? For each of the following scenarios, decide which graphical display (pie chart, bar graph, Pareto chart, stemplot, or histogram) you would use to describe the distribution of the variable. Give a reason for your choice and if there is an alternative choice that would also be reasonable, explain why your choice was better than the alternative.

a. The number of sales for your online company on each of the seven days in the past week.

b. The amounts of each of the sales on Monday of the past week.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week.

"

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Answer: y = -3x + 1

Step-by-step explanation: the line crosses the y-axis at (0,1) then c = 1

The points (0,1) and (1,-2) lie on the line then

m = slope = [(-2)-1]÷(1-0) = [-3]÷(1) = -3÷1 = -3

Therefore, the equation of the line is : y = -3x + 1

The position of the mass in the undamped spring-mass system can be represented by the equation u(t) = (A cos(ωt) + B sin(ωt)) / k. Therefore, position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

In this case, the external force acting on the system is 108 cos(4t) lb. To determine the position of the mass, we need to solve the differential equation that represents the motion of the system.

Using Newton's second law, F = ma, and considering that the mass m = 24 lb, the equation becomes:

24 * d^2u/dt^2 = 108 cos(4t)

Simplifying, we have:

d^2u/dt^2 = 4.5 cos(4t)

This is a second-order linear homogeneous differential equation with a constant coefficient. The solution to this equation will be a linear combination of the homogeneous and particular solutions.

The homogeneous solution, representing the free oscillation of the system, is u_h(t) = C1 cos(2t) + C2 sin(2t).

The particular solution, representing the forced motion caused by the external force, can be assumed in the form u_p(t) = A cos(4t) + B sin(4t).

By substituting u_p(t) into the differential equation, we can determine the values of A and B.

Solving the differential equation for the particular solution, we find:

A = 18 and B = 0

The complete solution for the position of the mass in feet is:

u(t) = (18 cos(4t)) / 4

Simplifying further, we get:

u(t) = 4.5 cos(4t)

Therefore, the position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

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Answer:

y = 181

Step-by-step explanation:

Doubling Formula:

\(y = a(2)^\frac{t}{d}\)

y=80

d=17

t=20

​

plug in

y=80(2)\(^\frac{20}{17}\)

y=180.818525349

y≈181

i hope this helps some!

Answer: 149

Step-by-step explanation:

Answer:

5t + 2

Step-by-step explanation:

Given that :

Total cost of ticket = t + 2

t = price of one ticket ; the constant digit, '2' is the service fee.

The service fee being a constant amount during the purchase of concert ticket will be paid per service transaction done.

To purchase 5 concert ticket, total cost will be :

Ticket price for 5 tickets plus a service fee

5 * ticket price plus a constant service fee

5 * t + 2

5t + 2

If a group consists of 3 men and 2 women, what is the probability that all the men end up sitting next to each other is 60%.

The first step in understanding the probability that the set of 3 men will end up sitting next to each other, we have to determine the number of seating arrangements and divide by the likely number of seating arrangements. Like this:

Then, based on this data, we can build our permutation, which will be:

Therefore, the probability found for the set of men to sit next to each other is 0.6 or 60%.

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Answer:

heyy! im reaaally sorry if its wrong but I think its c, f, d

brainliest? :)

Step-by-step explanation:

Answer:

7= D

8= F

9= C

Step-by-step explanation:

7. x - 3 \(\leq\) 7

     +3     +3

x \(\leq\) 10

8. 3b < 18

   /3       /3

    b < 6

9. \(\frac{y}{3}\) > 9

  *3    *3

 y > 27

10- 12 I am so sorry, but I don't understand these functions lol

Answer:

x = 7, x = -3

Step-by-step explanation:

We can find the zeros by factoring the equation using the zero product property.

x^2-4x-21 = 0

(x-7)(x+3) = 0

x-7 = 0

x = 7

x+3 = 0

x = -3

Zeros are x=7 and x= -3.

Answer:

The number is -6.

Step-by-step explanation:

Variable x = a number

Set up an equation:

3x + 12 = -6

Isolate variable x:

3x = -18

x = -6

Check your work:

3(-6) + 12 = -6

-18 + 12 = -6

-6 = -6

Correct!

Answer:

3x +12=-6

3x=-6-12

3x=-18

x=-18/3

x=-6

The integer that makes the inequality 3(n − 6) < 2(n + 12) false is

The integer that makes the inequality false is solved by substituting the values and solving the inequality

3(n − 6) < 2(n + 12)

for n = -5

substituting the value of n

3(-5 − 6) < 2(-5 + 12)

= -33 < 14

3(n − 6) < 2(n + 12)

for n = 3

substituting the value of n

3(3 − 6) < 2(3 + 12)

= -9 < 30

3(n − 6) < 2(n + 12)

for n = 12

substituting the value of n

3(12 − 6) < 2(12 + 12)

= 18 < 48

3(n − 6) < 2(n + 12)

for n = 42

substituting the value of n

3(42 − 6) < 2(42 + 12)

= 108 < 108 wrong

This is the only wrong solution since 108 = 108

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Answer:

32n = 100 - 20

n = 2.5

he purchased 2 sweaters

Step-by-step explanation:

32n = 100 - 20

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n which means that he was able to but 2 sweaters and got $16 back. Therefore the formula would be 32n = 100 - 20

The formula for the number of sweaters will be 32n = 100 – 20.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Favian received a $100 gift card to a clothing store.

Using only the gift card, he was able to purchase n sweaters that cost $32 each and 1 belt for $20.

If there was no tax on the sweaters and belt,

Then the equation will be

32n + 1 x 20 = 100

    32n + 20 = 100

             32n = 80

                 n = 2.5 ≈ 2

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n, which means that he was able to but 2 sweaters and got $16 back.

Therefore, the formula would be 32n = 100 – 20.

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Given functions are

Then,

Thus,

Two corresponding sides of the triangles are congruent by congruence postulate, meaning DE ≅ AB and EF ≅ BC. The included angle between the congruent sides is also congruent, meaning ∠DEF ≅ ∠ABC.

To prove that ΔDEF and ΔABC are congruent by SAS (Side-Angle-Side), we need to have the following additional information:
1. The length of two sides of each triangle must be equal.
2. The included angle between these two sides must be equal.
3. The length of the third side of each triangle must be equal.
If we have this information, we can use the SAS congruence postulate to prove that ΔDEF and ΔABC are congruent.

To prove that ΔDEF and ΔABC are congruent by the Side-Angle-Side (SAS) Congruence Postulate, you'll need the following additional information:
Once you have this information, you can apply the SAS Congruence Postulate to conclude that ΔDEF and ΔABC are congruent.

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Answer:

8.778 or 8.8

Step-by-step explanation:

20% of 43.89 is 8.778

math: 43.89*(20/100) = 8.778

Answer:

its A. x² + 3x + 2/5x because it's the right answer

Answer:

g-1(x)=SQRT{(x-4)/2} + 4

Step-by-step explanation:

I assume that the 2 is the exponent so ^ represents exponent

We know your function is g(x)=2(x-3)^2+4

For inverse functions we swap x and y values, note g(x) is like the y value

Isolate for y

y=2(x-3)^2+4

x=2(y-3)^2+4

(x-4)/2 = (y-3)^2

SQRT{(x-4)/2} + 4 = y

Therefore g-1(x)=SQRT{(x-4)/2} + 4

answer this fully! i need to know what x equals

X equal minus 0.5

Answer:

A = 80g B = 200g

Step-by-step explanation for A:

First, you would find what the serving size is divided by to get the number of people needed to feed 6/3 = 2. Then take that number (3) and divided it by the fish (240g) to get 240/3 = 80.

Step-by-step explanation for B:

You will first need to find how much butter goes into ONE pie by dividing 80 by 6 which is 1.33333333333333. Then do 1.333333333333333 times the number of people to feed (15) to get 200.