hello everyone
please help me with this question I need the answer and it's full explanation.

and please tell me in which number we multiply and divide
and why!​

Based on the questions, 13 guests are attending her best friend’s baby shower.

Firstly, we need to write down the numbers that are already stated in the question.

43 + 9 × х = 160

Secondly, move the x to continue counting.

9x = 160 – 43

Thirdly, calculate the numbers above.

9x = 117

Then, move the X to get the answer.

X = \(\frac{117}{9}\)

Lastly, try to finish the division.

X = 13

In conclusion, the result shows that 13 guests attend Mrs. Wright’s best friend's baby shower.

The above question is about the algebraic word problem.

A word problem is a math question written in a short story scenario. Usually, it is a simple short story that is easy to understand.

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The area of the circle from the area of the rectangle to find the area of the remaining shape. If the shapes are combined to create a larger shape, you would add the areas together.

Step 1: Identify the shapes within the compound shape. In this case, you mentioned circles, but there may be other shapes like rectangles, triangles, etc.

Step 2: Find the area of each individual shape. For circles, use the formula Area = π * r^2, where r is the radius of the circle. For other shapes, use their respective area formulas.

Step 3: Depending on the arrangement of the shapes within the compound shape, either add or subtract the areas of the individual shapes to get the total area of the compound shape.

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Answer:

\(A= P(1+\frac{r}{n})^{nt}\)

P = 3750

r = 6.35% = 0.0635

n = 365

t = 9

\(A= 3750(1+\frac{0.0635}{365} )^{365*9}\\\\\)

    \(= 3750(1+\frac{0.0635}{365})^{3285} = 6640.63\)

Answer  = $6641

Answer:

50 students

Step-by-step explanation:

Students at a school went on a trip. The given equation models the total cost of the trip, where x is the number of students who went on the trip.

18x = 900

How many students went on the trip?

Given equation:

18x = 900

Where,

x = number of students who went on the trip

Number of students who went for the trip

18x = 900

x = 900/18

x = 50 students

Therefore, 50 students went for the trip

Based on the given sample data and conducting a hypothesis test at the α = 0.05 significance level, the conclusion is that there is not sufficient evidence to support the claim that 79% of workers got their job through college has decreased.

Since the population proportion (p) is given as 0.79 and the sample size (n) is 100, we need to verify if n'p(1-p') ≥ 10.

Calculating n'p(1-p'):

n'p(1-p') = 100 * 0.79 * (1-0.79) ≈ 16.74

Since n'p(1-p') is greater than or equal to 10, it is safe to assume that n ≤ 0.05 of all subjects in the population.

Test the claim:

Null hypothesis \((H_0)\): p = 0.79 (The proportion of workers who got their job through college is 79%)

Alternative hypothesis \((H_a)\): p < 0.79 (The proportion of workers who got their job through college has decreased)

Calculating the test statistic (z-score):

\(z = (n'p - np) / \sqrt{np(1-p)}\\ = (61 - 100 * 0.79) / \sqrt{100 * 0.79 * (1-0.79)}\)

≈ -1.37

Calculating the p-value:

Using a standard normal distribution table or a calculator, the p-value corresponding to a z-score of -1.37 is approximately 0.0853.

Since the p-value (0.0853) is greater than the significance level (0.05), we do not reject the null hypothesis.

The conclusion is that there is not sufficient evidence to support the claim that 79% of workers got their job through college has decreased based on the sample data at the α = 0.05 significance level.

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To solve the exercise you can first take the equation of the given line to its slope-intercept form, that is,

To take the equation of the given line to its slope-intercept form, you can solve for y, like this

Now, two lines are perpendicular if their slopes satisfy the equation

So, in this case, you have

Therefore, the equation that represents a line that is perpendicular to the line 5x + 2y = 12 is

The expression that fails to compute the area of a triangle correctly is option b: (1 / 2) * b * h.

The correct formula to compute the area of a triangle is one-half times the base multiplied by the height, which can be written as (1/2) * b * h. Option a, c, and d correctly represent this formula. However, option b is incorrect because it uses integer division instead of decimal division.

In option b, (1 / 2) is computed using integer division, which results in truncating the decimal part. Therefore, (1 / 2) evaluates to 0 instead of 0.5. As a result, the expression (1 / 2) * b * h would yield incorrect and significantly smaller results than the actual area of the triangle.

To accurately calculate the area of a triangle using this formula, it is essential to use decimal division or explicitly represent the fraction as a decimal. Options a, c, and d correctly account for this by using either 1.0/2.0 or 0.5, ensuring the proper calculation of the area.

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Answer:

1. 2x + 1 ≤ 3.

2. 5x+7 217.

3. 1+ 3x ≥ -5.

4. 5-3x ≥ 11.

I hope it helps

There are 10 members on the board, so there are 10 ways to elect a president, 9 ways to elect a vice president, 8 ways to elect a secretary, and 7 ways to elect a treasurer.

This is because each position can be filled by any of the members, except for the position that the member is already filling. For example, the president can be elected from any of the 10 members, but the vice president must be elected from the remaining 9 members.

The company sea esta has ten members on its board of directors, so it has a lot of different options for how to elect a president, vice-president, secretary, and treasurer. One way to elect a president would be to have the board members vote on who they want to be president.

Another way to elect a president would be to have the members of the company vote on who they want to be president. There are many different ways to elect officers, and it really depends on the company and what they want to do.

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Answer:

Variable: m

3 more than twice as many ringtones as Mary:

3+2m

3+2(5)

3+10

13

Step-by-step explanation:

Answer:

I got you

Step-by-step explanation:

The variable m represents the number of ringtones Mary has. The algebraic expression for this phrase is 2m + 3, where m is the number of ringtones Mary has. If Mary has 5 ringtones, then the total amount of ringtones is 2*5 + 3 = 13.

Hope this helps and let me know if you need me to explain something further!

You did not post enough information.

Answer:

they probably do it just to get more answer points or whatever the brianily thing is called

Step-by-step explanation:

Answer:

y = -2/1x+8

Step-by-step explanation:

slope is -2/1

intercepts y at 8

Answer

D | R

72 | 36

11.8 | 5.9

84.54 | 42.27

311 | 155.5

Explanation

The relationship between diameter and radius is given as

Diameter = 2 (Radius)

Radius = ½ (Diameter)

For this table,

Circle A

Radius = 36

Diameter = 2 (Radius) = 2(36) = 72

Circle B

Diameter = 11.8

Radius = ½ (Diameter) = ½ (11.8) = 5.9

Circle C

Radius = 42.27

Diameter = 2 (Radius) = 2(42.27) = 84.54

Circle D

Diameter = 311

Radius = ½ (Diameter) = ½ (311) = 155.5

Hope this Helps!!!

When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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The 90% confidence interval for the number of chocolate chips per cookie in Big Chip cookies, based on a sample of 52 cookies with a mean of 18.5 and a standard deviation of 3.8, can be calculated.

To calculate the 90% confidence interval, we can use the formula:

Confidence interval = sample mean ± (critical value × standard error)

First, we need to calculate the standard error, which represents the variability of the sample mean. The standard error is calculated by dividing the sample standard deviation by the square root of the sample size:

Standard error = sample standard deviation / √(sample size)

In this case, the sample mean is 18.5, the sample standard deviation is 3.8, and the sample size is 52. Therefore, the standard error is 3.8 / √52 ≈ 0.528.

Next, we need to determine the critical value corresponding to a 90% confidence level. The critical value depends on the desired confidence level and the sample size. Since the sample size is 52 and the confidence level is 90%, we can use a t-distribution and look up the critical value from the t-table or use statistical software. Let's assume the critical value is 1.67 for this calculation.

Plugging the values into the confidence interval formula:

Confidence interval = 18.5 ± (1.67 × 0.528) = 18.5 ± 0.882

Therefore, the 90% confidence interval for the number of chocolate chips per cookie in Big Chip cookies is approximately (17.618, 19.382). This means we are 90% confident that the true mean number of chocolate chips per cookie falls within this interval based on the given sample.

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Answer:

OB

Step-by-step explanation:

a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

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Answer: D) 15.7

Step-by-step explanation:

Start with the formula C=2 πr

Then solve for r r=C2π = 98.62·π = 15.69(7)204

The radius of the circle is 15.7 mm.

The route or boundary that encircles any shape in mathematics is defined by the shape's circumference.

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle.

We have,

The circumference of Circle = 2πr

Also, The circumference of a circle is 98.596 millimeters.

So, circumference of Circle = 2πr

98.596 = 2πr

98.596 = 6.28r

r= 98. 596 / 6.28

r = 15.7 mm

Thus, the radius is 15.7 mm.

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For the M1 angle, we can conclude the size of angle is 90°. Do the angle equation like this :

15x=90

x = 90/15

x = 6

Do the same thing in M2 :

Subtitute the x value to equation, then evaluate the value by using 90 because it's the same.

x+y=90

6+y=90

y=90-6

y=84

M3 value is same, 90°

9z=90

9z/9 = 90/9

z=10

Hope this helps

The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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9514 1404 393

Answer:

  (b)  Each side of the original triangle is 2 times the length of each side of the scale drawing.

Step-by-step explanation:

If the smaller is 1/2 the larger, then the larger is 2 times the smaller. The original triangle's sides are 2 times those of the scale drawing.

\(\frac{18.6}{x} =0.02\)    X is the "something" in this problem

\(x=\frac{18.6}{0.02}\)

\(x=930\)

Hope this helped :)

Answer:

3(x^3-3x+1)

hope this helps!

The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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Answer:

3

Step-by-step explanation:

Midpoint means EF and FG are both 8 the whole thing is 19 so 19 - 16 = 3

The normal approximation can be used in a two-sample test of proportions when the sample sizes are sufficiently large.

The rule of thumb is that each sample should have at least 10 successes and 10 failures. When these conditions are met, the sampling distribution of the difference in sample proportions can be approximated by a normal distribution with a mean equal to the difference in population proportions and a standard deviation calculated from the sample proportions. This approximation allows us to calculate probabilities and make inferences using the standard normal distribution. It is important to note that this approximation may not be accurate for small sample sizes, in which case exact methods such as the Fisher's exact test should be used instead. In summary, the normal approximation can be used in a two-sample test of proportions when the sample sizes are large enough and the conditions are met.

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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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Answer:

when the equations do not intersect they have NO solutions and are parallel

When they intersect at one point, they have ONE solution

When they intersect at all points, they have infinite solutions and are the same line/equation.

Step-by-step explanation:

A system of linear equation has no solution, only one solution, and infinite solutions when the graph of the equation do not intersect, intersect in exactly one point and intersect at all points respectively.

A system of linear equations is a collection of one or more linear equations involving the same variables. A system of linear  equation has

Therefore,

From the graph we can see that " the system of linear equations has no solution, only one solution, and infinite solutions when they do not intersect, intersect in one point, and intersect at all point".

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If 09 people can complete the job in 75 days then 25 people needs 45 days to complete the job.

Let T be the time and L be the Labor (Number of people working on the bridge).

T ∞ 1/√L  (Inverse relationship)

T = K/√L                   ----------------------------- (1)

Since, Constant "K" is introduced once the variation sign (∞) changes to equality (=) sign.

According to the question,

Time (T) = 75 days    and

labor (L) = 09

From the equation (1), we get,

    T = K / √L

⇒ 75   = K/√9

⇒ 75= K/3

⇒ K= 225

First, the relationship between these variables is:

                       T = 225/√L

Therefore, how long it will take 25 people to do it means that we should look for the time.

                           T=225/√L

                      ⇒  T= 225/√25

                      ⇒  T= 225/5

                      ⇒  T= 45 days.

therefore, 25 people needs 45 days to complete the job.

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