What is a possible value for the missing term of the geometric sequence 1250?.

The system of inequality for the problem is

x +  y ≤ 12

22x + 10y ≥ 170

y ≥ 2

And we have identified the solution of these inequality as (4.167,7.833)

System of inequality

System of inequalities consists of at least two linear inequalities in the same variables. And the solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

Given,

Abigail is working two summer jobs, making $22 per hour tutoring and making $10 per hour landscaping. In a given week, she can work a maximum of 12 total hours and must earn at least $170. Also, she must work a minimum of 2 hours landscaping.

Here we need to find the system f inequality, then plot it on the graph to identify the solution of it.

Let us consider the following:

x refers the number of hours spent tutoring

y refers the number of hours spent landscaping.

Cost for 1 hour of tutoring = $22

Cost for 1 hour of landscaping = $10

So, we know that, she can work a maximum of 12 total hours, so it can be written as,

x + y ≤ 12

And she must earn at least $170,

22x + 10y ≥ 170

Here we also know that, she must work a minimum of 2 hours landscaping, so,

y ≥ 2

When we plot these inequality then we get he graph like the following.

While we looking into the graph, we have identified that the solution is (4.167,7.833) which means 4.167 hours of tutoring and 7.833 hours of landscaping will earn $170.

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Week 1: 55 visitors

Week 2: 2 * 55 = 110 visitors

Week 3: 2 * 110 = 220 visitors

Week 4: 2 * 220 = 440 visitors

Week 5: 2 * 440 = 880 visitors

To find the total number of visitors in the first 5 weeks, we can add up the number of visitors from each week:

Total number of visitors = 55 + 110 + 220 + 440 + 880 = 1705 visitors

Therefore, the total number of visitors to the website in the first 5 weeks is 1705.

Answer:

the difference in their ages is 31/2

Step-by-step explanation:

151/2=2x15+1/2=31/2

===========================================

Work Shown:

4x^2 - y^2

(2x)^2 - (y)^2

(2x-y)(2x+y)

When going from the second step to the third step, I used the difference of squares rule. That rule is a^2-b^2 = (a-b)(a+b). In this case, a = 2x and b = y.

Side note: (2x-y)(2x+y) is the same as (2x+y)(2x-y). We can multiply in any order.

Answer:

y=x doesent that mean 2=3 so what you do is the line that goes up thats y and the one that goes sideways thats x so at the to go to 2 then at the side go to 3

Answer:

Step-by-step explanation:

y=x doesent that mean 2=3

Answer:

i can help you

Step-by-step explanation:

you will need 40 tickets in total if you want to get $1000

Answer:

68 tickets

Step-by-step explanation:

1000 = 25x - 700

x is the number of tickets

You want to raise 1000 dollars, which will equal the number of tickets times the price for each ticket minus the 700 dollars spent renting the hall.

Add 700 to both sides and then divide both sides by 25 to isolate x.

1700 = 25x

x = 68 tickets

To solve the inequality we can subtract 10 as:

Then, dividing by 2, we get:

-7 < x ≤ 4

Answer: -7 < x ≤ 4

Answer:

A is the answer

Step-by-step explanation:

Valve guides can be measured for roundness and diameter using a micrometer or a bore gauge. Both of these tools are commonly used in the automotive industry to measure the dimensions of engine parts such as valve guides.

A micrometer is a precision measuring tool that uses a calibrated screw to measure the diameter of an object with high accuracy. It can be used to measure the diameter of the valve guide at different points along its length to check for roundness. A bore gauge, also known as an inside micrometer, is a specialized tool used to measure the inside diameter of a cylinder, such as the bore of an engine block or the valve guide. It consists of a probe that is inserted into the cylinder and expands to take a measurement. A bore gauge is particularly useful for measuring the internal dimensions of complex shapes like valve guides, which can have irregular or non-circular profiles. Both micrometers and bore gauges come in various sizes and types, and the specific tool used will depend on the size and shape of the valve guide being measured.

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Answer:

pay ($), y

Step-by-step explanation:

Well, in the number of hours you work determines your pay in this case. So, pay is dependent of the number of hours.

And, the dependent variable is usually represented by y in a x,y graph.

the researcher can conclude that private hospitals pay more than government-owned hospitals based on the sample data.

To test whether private hospitals pay more than government-owned hospitals, we can use a two-sample t-test with equal variances.

The null hypothesis is that there is no difference in mean salary between the two groups:

H0: μprivate = μgovernment

The alternative hypothesis is that private hospitals pay more than government-owned hospitals:

Ha: μprivate > μgovernment

We can use a significance level of 0.01, which corresponds to a critical value of t = 2.364 (with degrees of freedom = 898).

First, we need to calculate the pooled standard deviation:

Sp = sqrt(((n private - 1)s^2private + (n government - 1)s^2government) / (n private + n government - 2))

where n private and n government are the sample sizes, s^2private and s^2government are the sample variances, and s^2pooled is the pooled variance.

Plugging in the values, we get:

Sp = sqrt(((100-1) * 186^2 + (800-1) * 176^2) / (100 + 800 - 2)) = 176.43

Next, we calculate the test statistic:

t = (x(bar)private - x(bar)government) / (Sp * sqrt(1/n private + 1/n government))

where x(bar)private and x(bar)government are the sample means.

Plugging in the values, we get:

t = (26,800 - 25,400) / (176.43 * sqrt(1/100 + 1/800)) = 3.14

Since our test statistic (3.14) is greater than the critical value (2.364), we reject the null hypothesis and conclude that private hospitals pay more than government-owned hospitals at a significance level of 0.01.

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Yes, sure student can reject the cost.

A more detailed explanation of the answer.
To reject the claim that the mean cost of science textbooks are less than $200. Student must perform a statistical test. The most common test is the two-tailed hypothesis test, which involves setting up a null hypothesis (H0) and an alternative hypothesis (HA).

H0: Mean cost of science textbooks is no more than $200
HA: Mean cost of science textbooks is higher than $200

The student must then collect data and use the data to calculate the sample mean. The student can then compare the sample mean to the given mean in the claim. If the sample mean is significantly higher than the given mean, the student can reject the claim.

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Answer:

I could but can you please put down the problem.

Step-by-step explanation:

Answer:

To solve this system of congruences, we can use the Chinese Remainder Theorem.

From the first congruence, we know that x is of the form x = 5k + 3, where k is an integer.

Substituting this into the second congruence, we get:

5k + 3 ≡ 5 (mod 7)

5k ≡ 2 (mod 7)

Multiplying both sides by the inverse of 5 modulo 7, which is 3, we get:

k ≡ 6 (mod 7)

So, k is of the form k = 7m + 6, where m is an integer.

Substituting this back into x = 5k + 3, we get:

x ≡ 5(7m + 6) + 3 (mod 35)

x ≡ 35m + 33 (mod 35)

Therefore, the solution to the system of congruences is x ≡ 33 (mod 35).

So, the answer is x = 33 mod 35.

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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The given statements are as follows:

b. If f is not one-to-one on the interval (a,b), then the area of the surface generated when the graph of f on [a,b] is revolved about the x-axis is undefined.

The statement in part b is false. A counterexample would be the graph of f(x) = x^2 on the interval [-1,1). The function is not one-to-one on this interval since both -1 and 1 map to the same value, but the surface area generated when the graph is revolved around the x-axis is approximately 7.62 square units. Therefore, the statement is not true.

The statement claims that if a function is not one-to-one on an interval, then the surface area generated by revolving its graph around the x-axis is undefined. However, the counterexample of f(x) = x^2 on [-1,1) disproves this statement. Even though the function is not one-to-one on the interval, it still has a well-defined surface area when revolved around the x-axis. Therefore, the statement is false.

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Answer:

the top right

Step-by-step explanation:

Answer: p = 24  − 5 q /2

Step-by-step explanation:

Answer:

\(p = \frac{ - 5}{2} q + 24\)

Step-by-step explanation:

Let's solve for p:

\(2p+5q=48\)

Step 1: Add -5q to both sides.

\(2p+5q+−5q=48+−5q\)

\(2p=−5q+48\)

Step 2: Divide both sides by 2.

\( \frac{2p}{2} = \frac{ - 5q + 48}{2} \)

\(p= \frac{ - 5}{2} q+24\)

The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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Answer: 1236

its the answer from deltamath

Answer: B(0,-6); C(-2,0)

Step-by-step explanation:

A was translated 4 units to the right (x) and 5 units down (y)

Do the same for the other points

B(-4+4, -1-5)                        C(-6+4, 5-5)

B(0, -6)                                C(-2, 0)

Answer:

Q1 - 2

Q1 - 5

Q3 - 7

maximum 9

minimum 1

Step-by-step explanation:

order the numbers from least to greatest

Answer:

English.........plzpzl

The correct answer is B. $144. By purchasing the projector from Office & Beyond instead of the Office Spot, you can save $144.

To determine how much money is saved by purchasing the projector from Office & Beyond instead of the Office Spot, we need to calculate the final price difference between the two companies after applying the discounts. Let's break it down step by step:

Office Spot's discount: The Office Spot is offering a 20% discount on the retail price of $1,200. To calculate the discounted price, we subtract 20% of $1,200 from the original price:

Discounted price at the Office Spot = $1,200 - (20/100) * $1,200 = $1,200 - $240 = $960.

Office & Beyond's price match and additional discount: Office & Beyond has stated that they will match the Office Spot's advertised special and take an additional 15% off the competitor's advertised price. Therefore, they will match the discounted price of $960 and then apply an additional 15% off.

Price after matching the Office Spot's discount at Office & Beyond = $960.

Additional discount at Office & Beyond = (15/100) * $960 = $144.

Final price at Office & Beyond = $960 - $144 = $816.

Calculate the price difference: To find the amount of money saved by purchasing from Office & Beyond instead of the Office Spot, we subtract the final price at Office & Beyond from the discounted price at the Office Spot:

Savings = Discounted price at the Office Spot - Final price at Office & Beyond

= $960 - $816

= $144.

Therefore, the correct answer is B. $144. By purchasing the projector from Office & Beyond instead of the Office Spot, you can save $144.

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Answer:

What?  there is no question here

Step-by-step explanation:

Answer:

6,075

Step-by-step explanation:

To find the volume of popcorn that must be added to the machine, we need to calculate the difference between the current volume and the maximum volume of the machine.

The volume of the popcorn machine can be calculated by multiplying its dimensions:

Volume = Length × Width × Height

Given dimensions:

Length = 20 inches

Width = 25 inches

Height = 15 inches

Volume of the machine = 20 in × 25 in × 15 in = 7,500 cubic inches

To find the volume of popcorn that must be added, we subtract the current volume (1,425 cubic inches) from the maximum volume (7,500 cubic inches):

Volume of popcorn to be added = Maximum volume - Current volume

= 7,500 cubic inches - 1,425 cubic inches

= 6,075 cubic inches

Therefore, the volume of popcorn that must be added to the machine is 6,075 cubic inches.

The statement holds true for the base case and it holds true for any k=n assuming it holds true for k=n, we can conclude that the statement holds true for all positive integer values of k. Hence, if we remove the root of a \($\mathrm{k}^{\text {th }}$\) order binomial tree, it results in k binomial trees of the smaller orders.

The statement to be proven is: "If we remove the root of a \($\mathrm{k}^{\text {th }}$\) order binomial tree, it results in \($\mathrm{k}$\) binomial trees of the smaller orders."

We will prove this statement by mathematical induction.

Base case k=1 :

Inductive step:

Suppose the statement holds true for some \($\mathbf{k}=\mathbf{n}$\), i.e., if we remove the root of an \($\mathbf{n}^{\text {th }}$\) order binomial tree, it results in \($\mathrm{n}$\) binomial trees of the smaller orders. We need to show that it also holds true for \($\mathbf{k}=\mathbf{n}+1$\)

using definition of mathematical induction.

Consider a \($(\mathrm{n}+1)^{\text {th }}$\) order binomial tree, which can be formed by joining two \($\mathrm{n}^{\text {th }}$\) order binomial trees. If we remove the root of this \($(\mathrm{n}+1)^{\text {th }}$\) order binomial tree, we are left with two nth order binomial trees. By the induction hypothesis, each of these \($\mathbf{n}^{\text {th }}$\) order binomial trees will result in n binomial trees of the smaller orders. Hence, the result of removing the root of the \($(n+1)^{\text {th }}$\) order binomial tree will be n + n = 2n binomial trees of the smaller orders, which implies that the statement holds true for \($\mathrm{k}=\mathrm{n}+1$\) as well.

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The system of inequalities is y ≤ 32 - x and y ≥ (168 - 15x)/25.

Jordan is working for two summer jobs. The amount made per hour by walking dogs is $15. The amount made per hour by clearing tables is $25. Jordan can work for a maximum of 32 hours a week. He must earn at least $168.

The number of hours spent walking dogs is represented by "x". The number of hours spent clearing tables is represented by "y". The inequalities formed are :

x + y ≤ 32

15x + 25y ≥ 168

The graph of the common shaded region is attached below. The solutions lie in the first quadrant, where the region is shaded for both the inequalities.

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