Figure ABCD is a rhombus, and m∠BAE = 9x + 2 and m∠BAD = 130°. Solve for x. Rhombus ABCD with diagonals AC and BD and point E as the point of intersection of the diagonals. 3. 4 7 14. 2 65

Answer:

\(\mathsf {4,999,998}\)

Step-by-step explanation:

\(\textsf {The question asks for the number which is 2 LESS than five million.}\)

\(\textsf {Hence, we need to subtract 2 from 5,000,000.}\)

\(\implies \mathsf {5,000,000 - 2}\)

\(\implies \mathsf {4,999,998}\)

The number which is two less than five million will be 4999998.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Since it is known that,

1 million = 10,000,00

2 less than 10,000,00 will be as,

10,000,00 - 2 = 4999998.

Hence "4999998 is the number that is two less than five million".

For more about the number system,

https://brainly.com/question/22046046

#SPJ2

Answer: Yes

Step-by-step explanation:

Step #1: Lacey has 2 3/4 yards of wrapping paper remaining. She has six boxes to wrap, each of which requires 3/8 of a yard of paper. First, you must find the total number of yards of wrapping paper needed for six boxes.

Number of boxes * Number of wrapping paper required for each box

6 x 3/8 = 9/4

Step #2: Subtract the number of yards of wrapping paper remaining by the total number of wrapping for 6 boxes.

2 3/4 - 9/4 = 1/2

Step #3: Determine and solve whether Lacey will have enough wrapping paper left to also wrap a book that requires 1/2 yard of paper. To solve, subtract the remaining amount of wrapping paper by the amount of wrapping required for a book.

1/2 - 1/2 = 0

So, yes Lacey will have just enough wrapping paper to also wrap a book that requires 1/2 yard of paper.

Answer:

First, we have to set it from least to greatest 11, 12, 12, 13, 14, 15, 16, 17, 18

The  interqurtile range is q3 - q1

Q3 is 16.5 and the q1 is 12

16.5 - 12 = 4.5

Step-by-step explanation:

Answer is 4.5

Interquartile range (IQR) :

The interquartile range shows the range in values of the central 50% of the data. To find the interquartile range, subtract the value of the lower quartile ( or 25%) from the value of the upper quartile ( or 75%).

=>  IQR = Q3 – Q1

Here,

First Arrange the data in ascending order.

11, 12, 12, 13, 14, 15, 16, 17, 18

Median = 14.

Q1 = 12 and Q3 = 16.5

IQR = Q3 - Q1 => 16.5 - 12 = 4.5

Answer is 4.5

Learn more about Interquartile range here:

https://brainly.com/question/16311086?referrer=searchResults

#SPJ2

Answer:

\(x^2 - 8x + 7 = 0\)

Step-by-step explanation:

Let the boy's present age be x.

Let his dad's present name be y.

Last year, his dad was 8 times as old as him. Subtract one year from each their ages and multiply the son's age by 8:

(y - 1) = 8(x - 1) ______ (1)

Now, his dad's age is the square of his age:

y = \(x^2\) _________(2)

From (1):

y = 8x - 8 + 1

y = 8x -7

Put this in (2):

\(8x - 7 = x^2\\\\=> x^2 - 8x + 7 = 0\)

This problem has been represented in the form of a quadratic equation.

Answer: ok what do you need help with

Step-by-step explanation:

The numbers 31.3 sec, 41.05 sec, and 42.015 sec represent continuous data since time measurements can take on any value within a given range. Therefore, these numbers are not discrete but continuous.

The numbers, 31.3 sec, 41.05 sec, and 42.015 sec, represent the times taken by the runners to complete their runs. In this case, the numbers are continuous.

Continuous data refers to measurements that can take any value within a certain range or interval. In the context of measuring time, it is possible to have infinitely many possible values between any two given points. For example, between 31.3 sec and 31.31 sec, there can be an infinite number of additional decimal places.

Discrete data, on the other hand, consists of values that are separate and distinct with no intermediate values possible. Discrete data is typically based on counting or whole numbers, such as the number of runners or the number of wins in a competition.

In this scenario, the times of the runners are measured using a continuous scale, where the smallest unit of time can be divided further into smaller increments. Therefore, the times of the runners, 31.3 sec, 41.05 sec, and 42.015 sec, are considered continuous data.

To know more about Continuous data refer here:

https://brainly.com/question/14411881#

#SPJ11

If the initial population is 3800. The population of cockroaches after 3 years will be 1603.

Consider the function:

y = a(1 ± r)ⁿ

where n is the number of times growth/decay, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, there is exponential growth happening by r fraction or r%.

If there is a minus sign, there is exponential decay happening by r fraction or r%.

If the population is currently 3,800 cockroaches.

The expression is given as

y = 3800(0.75)ⁿ

The population of cockroaches after 3 years will be

y = 3800(0.75)³

y = 3800 x 0.4218

y = 1603.125

y ≅ 1603

Hence, the population of cockroaches after 3 years will be 1603.

Read more about exponential growth :

https://brainly.com/question/26106075

#SPJ4

The complete question is:

Colette has an exterminator visit regularly to control an ongoing cockroach problem. it's been working, and the population has declined by 15% every year. if the population is currently 3,800 cockroaches, how many will there be in 3 years? if necessary, round your answer to the nearest whole number.

Answer:

(-3, -5)

Explanation:

Given the function:

First, make y the subject of the equation.

To choose a point that lies on the line, we test the x-values and see if we get the corresponding y-value.

Since the y-value corresponds to the point (-3, -5), the point that lies on the function is (-3, -5).

The variables of farmer are independent variables and dependent variables.

In this scenario, the farmer is testing the impact of different amounts of nitrogen on corn plant height. Her variables are as follows:

1. Independent variable: The amount of nitrogen infused in the soil (one pot has nitrogen-infused soil and the other has regular soil).

2. Dependent variable: The height of the corn plants (measured in feet).

However, it's important to note that the experimental setup has a potential confounding variable, which is the location of the pots (one is outside and the other is in the bathroom). This might influence the results and make it difficult to solely attribute the differences in height to the nitrogen content in the soil.

Learn more about "variables ":

https://brainly.com/question/28248724

#SPJ11

Answer:

13/12

Step-by-step explanation:

I got u  dont worry, i got 13/12 and i might be wrong cause its not a answer choice but use use this website to see if you can get it right... studentdesmosscientifc. Search it up in google!

Answer:

y = 4/6x - 4

Step-by-step explanation:

y = mx + b, m = slope and b = y intercept

Rise over run

Rise = +4

Run = +6

This means the slope is 4/6.

The y intercept is at -4.

Now, plug in the numbers for y = mx + b

y = 4/6x - 4

Answer:

1. x > 13

2. x < -2

3. x < 5

Step-by-step explanation:

2x - 3 > 23

→Add 3 to both sides:

2x > 26

→Divide both sides by 2:

x > 13

2x - 3 > 3x - 1

→Subtract 2x from both sides:

-3 > x - 1

→Add 1 to both sides:

-2 > x

5x - 4 < 21

→Add 4 to both sides:

5x < 25

→Divide both sides by 5:

x < 5

a. U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d.  U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct). This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income.

a. The optimization problem of the representative agent involves maximizing the present discounted value of utility subject to the period-by-period budget constraint. The Euler equation is derived as follows:

At each period t, the agent maximizes the utility function U(ct) = ln(ct) subject to the budget constraint ct = (1 + r)wt + yt, where wt is the agent's wealth at time t. Taking the derivative of U(ct) with respect to ct and applying the chain rule, we obtain: U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. The Euler equation between time 1 and time 3 can be written as U'(c1) = β(1 + r)U'(c2), where c1 and c2 represent consumption at time 1 and time 2, respectively.

Similarly, we can write the Euler equation between time 2 and time 3 as U'(c2) = β(1 + r)U'(c3). Combining these two equations, we fin

d U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. The present discounted value of optimal lifetime consumption can be written as C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d. The present discounted value of optimal lifetime utility can be written as U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct).

This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

e. The present discounted value of lifetime income, denoted as Y0, can be expressed as Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income. The income in each period is multiplied by (1 + γ) to account for the increasing income over time.

This assumption of income growth allows for a more realistic representation of the agent's economic environment, where income tends to increase over time due to factors such as productivity growth or wage increases.

for such more questions on  equation

https://brainly.com/question/17145398

#SPJ8

Answer:

\((5, -5/2)\)

Step-by-step explanation:

The midpoint of any line segment is the average of the x- and y-values of the two endpoints.

Therefore, the midpoint of \(AB\) is \(((3+7)/2, (-8+3)/2)=(10/2, -5/2)=(5, -5/2)\).

So, the answer is \(\boxed{(5, -5/2)}\) and we're done!

The ounces of coffee the patient have each day is 24 oz.

A difference among starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.

Some characteristics of percentage change are-

Calculation for the coffee that the patient consume each day,

Determination for the coffee he consumes daily.

4 cups x 8 oz = 32 oz

Now, multiply the outcome by the decimal equivalent of the percentage (i.e., 25% = 25/100).

32 x (25/100) = 8

Finally, remove the percentage from the weekly coffee consumption.

32-8 = 24 oz per day

Therefore, the consumption of the coffee by the patient reduced to 24 oz per day from 32 oz per day.

To know more about percentage reduction, here

https://brainly.com/question/20758765

#SPJ4

The centripetal force is the force that acts on an object moving in a circular path, directing it towards the center of the circle. option a.

When a car is driving around a curve, the centripetal force is provided by the frictional force between the tires and the road. This force acts inwards, towards the center of the circle, and is responsible for keeping the car moving in a circular path.

The centripetal force is always perpendicular to the direction of motion, so option (b) and (d) can be eliminated.

Additionally, there is no force that acts away from the center of the circle, so option (c) can also be eliminated. Option (e) is not applicable since the question is asking about the direction of the force, not its orientation.

Learn more about motion here:

https://brainly.com/question/3421105

#SPJ4

Answer:

B

Step-by-step explanation:

To calculate the square feet of fertilizer he would be needing to cover his garden, what we need to do is simply find the area of the garden

Mathematically that would be the length of the garden multiplied by its width since it is a rectangular sharped garden

The area is thus;

33 * 39 = 1287 ft^2

Answer:

------------------------

Use a combination formula.

We want to select 2 pennies from a set of 6 and 2 dimes from a set of 8.

The number of ways to do this is:

Therefore, there are 420 possible sets of 4 coins that contain 2 pennies and 2 dimes.

Answer:

C

Step-by-step explanation:

We know that people who have high salaries can afford expensive cars. But they cannot get wealthier by just driving expensive cars. Common sense.

The table for the parabola is

x y

-2 24

0 0

2 8

4 0

6     -24

To create a table for a parabola with equation y = -2x^2 + 8x, we can simply plug in values of x and solve for y.

with x-values from -2 to 6,:

For x = -2, y = -2(-2)^2 + 8(-2) = -24

For x = 0, y = -2(0)^2 + 8(0) = 0

For x = 2, y = -2(2)^2 + 8(2) = 8

For x = 4, y = -2(4)^2 + 8(4) = 0

For x = 6, y = -2(6)^2 + 8(6) = -24

To plot the parabola on a graph, we can plot the points from the table and draw a smooth curve through them. The graph of y = -2x^2 + 8x looks like a downward-facing parabola with its vertex at the point (2, 8).

Learn more about parabola at:

https://brainly.com/question/29635857

#SPJ1

the probability that the sample standard deviation of service times is less than 2.24 minutes is 0.10. we need to know the distribution of the sample standard deviation of service times.

If service times are normally distributed, then the sample standard deviation will follow a chi-square distribution with n-1 degrees of freedom, where n is the sample size.

Using this distribution, we can use a chi-square table or calculator to find the value of the sample standard deviation that corresponds to a probability of 0.10. For example, if the sample size is n=30, then the critical chi-square value is 16.047.

We can then use the formula for the sample standard deviation:

s = sqrt((n-1)*s^2 / chi-square)

where s is the sample standard deviation, s^2 is the sample variance, and chi-square is the critical chi-square value.

If we assume that the sample mean service time is 10 minutes and the sample variance is 4, then the sample standard deviation is 2. Using the formula above with n=30 and chi-square=16.047, we get:

s = sqrt((30-1)*4 / 16.047) = 2.24 minutes

Therefore, the probability that the sample standard deviation of service times is less than 2.24 minutes is 0.10.

To  learn  more about probability click here:brainly.com/question/32004014

#SPJ11

Based on the given information, the estimate for the number of cells in a T75 flask can be calculated by comparing the number of cells in the picture to the field of view area and then scaling it up to the size of the T75 flask.

Given that there are 55 cells in the picture, we can use this information to estimate the density of cells in the field of view. The field of view has dimensions of 1.85 mm x 1.23 mm, which gives an area of 2.7095 square millimeters (\(mm^2\)). To calculate the cell density, we divide the number of cells (55) by the area (2.7095 \(mm^2\)), resulting in an approximate cell density of 20.3 cells per \(mm^2\).

Now, to estimate the number of cells in a T75 flask, we need to know the size of the flask's growth area. A T75 flask typically has a growth area of about 75 \(cm^2\). To convert this to \(mm^2\), we multiply by 100 to get 7500 \(mm^2\).

To estimate the number of cells in the T75 flask, we multiply the cell density (20.3 cells/\(mm^2\)) by the growth area of the flask (7500 \(mm^2\)). This calculation gives us an approximate estimate of 152,250 cells in the T75 flask. It's important to note that this is just an estimate, and actual cell counts may vary depending on various factors such as cell size, confluency, and experimental conditions.

To learn more about area refer:

https://brainly.com/question/25292087

#SPJ11

Answer:

C is the answer

Step-by-step explanation:

16+ (16/2)=16+8=24

Based on the information provided, it can be concluded that it is better for Robert to buy extra larger pizzas rather than larger pizzas .

To calculate this, the best is to know what is the price per inch. The basic formula for this is inches/price. The process is shown below:

Size: 14 inches

Price: $13.99

14 / 13.99 = $1

Size: 20 inches

Price: $23.99

20 / 23.99 = $0.83

Based on this the cheapest option is the extra-large pizzas.

Learn more about prices in https://brainly.com/question/19091385

#SPJ1

For a andrea's record label released her new album, the simplified inequality of absolute value inequality in terms of t is equals to the t ≥ 10. The graph which represents the inequlity is option(b).

Andrea's record label released her new album. Now, she wants to know the sales of at least $20,000 per week. The equation where sales will be at least 20,000 amount is written as 20,000≤ 1000(-2|t - 15| + 30). We have to solve this inequality. Now, the inequality is written as 20,000 ≤ 1000(-2|t - 15| + 30)

dividing by 1000 both sides, \( \frac{20,000 }{1000} ≤ (-2|t - 15| + 30) \)

=> 20 ≤ (-2|t - 15| + 30)

Substracts 20 from both sides

=> 20- 30 ≤ -2|t - 15| + 30 - 30

=> -10 ≤ -2|t - 15|

dividing by (-2) by both sides in above equation,

=> 5 ≤ | t - 15 |

=> -(t - 15) ≤ 5 ≤ (t - 15)

=> - t + 15 ≤ 5 ≤ t - 15

=> - t + 15≤ 5 or 5 ≤ t - 15

=> -t ≤ - 10 or 15 ≤ t

=> t ≥ 10

Hence, required graph is present in option(b)

For more information about inequality, visit :

https://brainly.com/question/24372553

#SPJ4

Complete question:

Andrea's record label released her new album. Andrea wants to know when she has sales of at least $20,000 per week She uses the related equation below to determine when sales will be at least this amount where t represents time in weeks, 20,000≤ 1000(-2|t - 15| + 30). If you simplify the inequality above to a simple absolute value inequality in terms of t (by getting |t - 15| by itself on one side) which of the following graphs represents the solution set to that inequality?

Step-by-step explanation:

rewrite the equation as follows

c2d = a - b

divide both sides by 2d

c = (a - b)/2d

Answer:

A.

While D is partially correct, A is the way to go, because samples are easier to collect than whole populations. The internet quotes, "It is a much quicker process and is more time efficient." This proves the theory why A is the correct answer.

Statistical significance, in an efficacy or effectiveness study, refers to a numerically significant difference between two groups that are measured quantitatively using statistical tests.

In an efficacy or effectiveness study, statistical significance refers to a numerically significant difference between two groups that is measured quantitatively. Statistical significance is an essential concept in research, particularly in evaluating the effectiveness of interventions or treatments.

In statistical analysis, researchers use various statistical tests to determine if the observed difference between groups is statistically significant or if it occurred by chance. The significance level, often denoted as α (alpha), is pre-determined before conducting the study. If the calculated p-value is less than the significance level, typically 0.05, the result is considered statistically significant.

Statistical significance helps researchers draw conclusions about the effectiveness of an intervention or treatment. It indicates that the observed difference is unlikely to have occurred due to random chance alone. Instead, it suggests that the difference is likely attributable to the intervention being studied.

To learn more about Statistical significance, visit:

https://brainly.com/question/15848236

#SPJ11

Answer:

Slope-intercept

y = 3/4(x) - 7

Point slope

y -5= 3/4(x - 16)

Step-by-step explanation:

In slope-intercept

We have the general slope intercept as;

y = mx + b

where m is the slope and b is the y-intercept

in this case, m = 3/4 and b = -7

So we have;

y = 3/4(x) - 7

In point-slope

we have the general form as;

y-y1 = m(x-x1)

So what we have is as follows;

y -5= 3/4(x - 16)

Where we have (x1,y1) = (16,5)