Solve the equation |2x-3| +7 =10
Simplify all fractions as much as possible. Express your answer as an integer or fraction, and not as a decimal. If the answer is a fraction, provide the answer as "a/b". Do not leave spaces between characters.

(x-4)²+(y+7)²=4² is the equation of the circle represented by the given figure.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

We have to find the equation of the circle for the given figure.

(x-h)²+(y-k)²=r²

(h, k) is the centre of the circle.

From the image the centre is at (4, -7)

So h=4 and k=-7.

y+16=0

r=4

Substituting these values in the standard form we get

(x-4)²+(y+7)²=4²

Hence, (x-4)²+(y+7)²=4² is the equation of the circle represented by the given figure.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

Answer:

I'm going to assume it's a right triangle, but if you're looking for the hypotenuse with the side lengths 5 and 8, then the answer is 9.434

Answer: 2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex]\frac{1}{2} *\frac{10}{1} = \frac{10}{2} = 5[/tex]

Answer:

meidien 39 and the mean 37.2

Step-by-step explanation:

23 32 39 40 52 see 32 is the mediem

add them than dived than u get 37.2

Answer:

B 3

notice that beside the 30 degree there is also 90 degree. please see the attachment.

Maura will have 5, 206 points at either hotel by booking 301 nights.

To find the number of points, we shall assume that nights are denoted as n. The number of points for Hotel Elegance will be shown as :

= Signing up points + ( Number of points per night x Number of nights)

= 89 + 17 n

The number of points for Hotel Paradiso is:

= 691 + 15 n

The number of nights that Maura needs to stay for the points to be the same is :
89 + 17 n = 691 + 15 n

17 n - 15 n = 691 - 89

2 n = 602

n = 602 / 2

n = 301 nights

The number of points would be :

= 691 + 15 n

= 691 + 15 x 301

= 5, 206 points

Find out more on points at https://brainly.com/question/1383113

#SPJ1

To minimize h(c) = E( | X - c | ), we need to find the value of c that makes the difference between X and c as small as possible.

One way to do this is to find the median of the support set. The median is the middle value when the values are arranged in ascending order.

In this case, the median is 5, so c = 5 is the value that minimizes h(c).

To compare c with the value of b that minimized g(b) = E[( X - b )^2], we need to find the value of b that makes the difference between X and b as small as possible squared. One way to do this is to find the mean of the support set.

The mean is the sum of the values divided by the number of values. In this case, the mean is (1 + 2 + 3 + 5 + 15 + 25 + 50) / 7 = 14.57, so b = 14.57 is the value that minimizes g(b).

Comparing c and b, we can see that c = 5 is closer to the median of the support set, while b = 14.57 is closer to the mean of the support set. This is because the median is a measure of central tendency that is less affected by extreme values, while the mean is a measure of central tendency that is more affected by extreme values.

Therefore, c = 5 is the value that minimizes h(c) = E( | X - c | ), while b = 14.57 is the value that minimizes g(b) = E[( X - b )^2].

https://brainly.com/question/28060453

#SPJ1

We discover that only the equation associated with answer option D meets all four criteria and has the right vertex:

[tex]y = -2(x - 2)^2 - 6[/tex]

The supplied coordinates (-1, 7), (0, 0), (4, 0), and are all on the graph of this equation, which has a vertex at (2, -6) (5, 7). Hence, D is the right response.

The equation is a mathematical and physical statement that defines physical occurrences. It usually consists of a variable that only presents a physical quantity, with a possible personal variable such as your energy being pointed out.

The function y = x2 - 6 provides the answer to this equation. The vertex of the parabola is (2, -6), which may be determined by calculating the equation's derivative and setting it to 0. The graph includes the coordinates (- 1, 7), (0, 0), (4, 0), and (5, 7) because they are the answers to the equation.

To know more about equations click-

brainly.com/question/26408808

#SPJ1

Flint is starting a business. Before starting to sell anything, he bought fixtures for £1,200, a van for £6,000 and an inventory of goods for £2,800. Although he has paid in full for the fixtures and the van, he still owes £1,600 for some of the inventory. B. Rub lent him £2,500. After the above, Flint has £200 in the business bank account and £175 cash in hand. Total capital is £10,375

What do you mean by capital?

Any employed financial asset might be considered capital. A company's capital is represented on its balance sheet as the earnings from its ongoing operations. The money in a bank account, the proceeds from the sale of stock shares, and the proceeds from the sale of bonds are a few examples.

A factory and its equipment, intellectual property like patents, or the financial assets of a company or a person are all examples of things that provide value or benefit to their owners and fall within the broad definition of capital.

Fixtures= £1,200, van= £6,000, inventory of goods= £2,800, cash =£375

So, Total assets= £10,375

Payable=  £1,600, loan from Rub= £2,500, Balancing figure= £6,275

Total liabilities= £10,375

To learn more about capital from the given link

https://brainly.com/question/29548445

#SPJ1

Answer:

B. $11

Step-by-step explanation:

At end of 4th year:

[tex]320 {e}^{.03 \times 4} = 360.80[/tex]

At end of 5th year:

[tex]320 {e}^{.03 \times 5} = 371.79[/tex]

Interest earned between end of these two years:

[tex]371.79 - 360.80 = 10.99[/tex]

Answer:

Step-by-step explanation:

Let's start by figuring out how many deposits Jennie will make over the 6 month period. Since she receives two deposits per month, she will receive a total of 2 x 6 = 12 deposits.

Next, let's calculate how much money she will receive from these deposits. Each deposit is for $500, so over 12 deposits she will receive a total of 12 x $500 = $6000.

Now we need to figure out how much money Jennie will spend on living expenses over the 6 month period. She spends $450 every month, so over 6 months she will spend 6 x $450 = $2700.

To find the balance of Jennie's bank account after 6 months, we can use the following equation:

Balance after 6 months = starting balance + total deposits - total living expenses

Plugging in the values we calculated earlier, we get:

Balance after 6 months = $110 + $6000 - $2700

Balance after 6 months = $4400

Therefore, Jennie will have a balance of $4400 in her bank account after 6 months.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{x}{5} = 2}[/tex]

[tex]\large\textbf{Multiply 5 to both sides:}[/tex]

[tex]\mathsf{\dfrac{x}{5} \times 5= 2\times 5}[/tex]

[tex]\large\textbf{Simplify it:}[/tex]

[tex]\mathsf{x = 2\times 5}[/tex]

[tex]\mathsf{x = 10}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 10}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day\bf !}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

it would take approximately 11 hours to complete the order if the number of working machines increased by a factor of 2.

An algebraic expression is a mathematical phrase that consists of variables, constants, and mathematical operations, but does not contain an equals sign. Algebraic expressions are used to represent mathematical relationships and are an important tool in algebra and other areas of mathematics.

Algebraic expressions can be simple, such as x + 2, which consists of a variable (x), a constant (2), and an addition operation. More complex algebraic expressions can contain multiple variables, constants, and operations, such as 2x² + 3xy - 4.

Variables in algebraic expressions represent unknown values that can vary or change, while constants are fixed values that do not change. Mathematical operations, such as addition, subtraction, multiplication, and division, are used to combine variables and constants in algebraic expressions.

We can use the following formula to solve the problem:

(number of machines) x (time to complete the order) = constant

Let's call the constant k. If six machines working simultaneously can complete the order in 22 hours, we have:

6 x 22 = k

k = 132

Now, let's double the number of machines to 12 and find the new time it would take to complete the order:

12 x t = 132

where t is the new time it would take to complete the order with 12 machines. Solving for t, we get:

t = 132/12

t ≈ 11

Therefore, it would take approximately 11 hours to complete the order if the number of working machines increased by a factor of 2.

To know more about machines visit:

https://brainly.com/question/2555822

#SPJ1

Answer

Given the 2 equations

x = y + 4 → (1)

2x - 3y = - 2 → (2)

Substitute x = y + 4 into (2)

2(y + 4) - 3y = - 2 ← distribute and simplify left side

2y + 8 - 3y = - 2

- y + 8 = - 2 ( subtract 8 from both sides )

- y = - 10 ( multiply both sides by - 1 )

y = 10

Substitute y = 10 into (1) for corresponding value of x

x = 10 + 4 = 14

Solution is (14, 10 ) → D

Step-by-step explanation:

Answer:

x=3

x=3y=1

I hope this helps!

Step-by-step explanation:

x+y=4

2x-3y=3

y = 4-x

2x-3(4-x) = 3

2x-12+3x = 3

5x = 15

x = 3

y = 4-x

4-3 = 1

y = 1

Answer:

X = -29/22

Step-by-step explanation:

I used PEMDAS to solve the question

what is combination ?
In mathematics, a combination is a way of selecting items from a collection, such that the order of selection does not matter. The combination formula gives the total number of ways to choose k items from a set of n distinct items without regard to the order in which they are chosen.

The combination formula is given by:

n choose k = n! / (k! * (n-k)!)

Explanation:
If we have 10 color-coded wires, we can choose 2 wires out of them in (10 choose 2) ways.

(10 choose 2) is a combination formula given by:

(10 choose 2) = 10! / (2! * (10-2)!)

= (10 * 9) / 2

= 45

This means that we need to perform 45 tests to cover all possible pairings of 2 wires from 10 color-coded wires.

To know more about combination visit:
https://brainly.com/question/30775735
#SPJ1

Answer:

linear function

(last option)

Step-by-step explanation:

We can see from the table that, as x increases by one unit, y decreases by 4 units

Therefore the slope (rate of change of y wrt x) is constant and = - 4

Hence linear

The properties to the equation are

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

y = 2x^2 - 4x + 8

The above expression is a quadratic equation

Next, we plot the graph

From the graph, we have the following summary

Vertex: (1, 6)

Axis of symmetry: x = 1

Zero(s) = None (complex roots)

See attachment for the graph of the equation

Read more about equation at

https://brainly.com/question/18831322

#SPJ1

Rounding to the nearest whole number, we can conclude that 24 people did not agree with the proposal.

If the idea was rejected by 56% of the group, then 44% of the group, or 100%, agreed with the plan.

Let x be the proportion of the group who rejected the proposition. The percentage of the group that approved of the idea was then 44%, or 0.44 times the total number of group members.

The problem states that there are 43 individuals in the group as a whole. As a result, we may construct the equation shown below:

x + 0.44(43) = 43

When we find x and simplify, we get:

x = 43 - 0.44(43) (43)

x = 23.96

We can estimate that 24, or the nearest whole number, did not support the proposition.

To know more similar question visit:

https://brainly.com/question/30287439

#SPJ1

Answer:

Below

Step-by-step explanation:

.89      '9' is in the hundredths place and is greater than 8

x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°

If a nurse can visit 5 patients each hour. If he has 37 patients to visit in a day.  the nurse can visit all of his patients if he works for at least 8 hours in a day.

Let's start by figuring out how many hours the nurse would need to visit all 37 patients, assuming he could work for a continuous period of time without taking a break:

37 patients ÷ 5 patients/hour = 7.4 hours

However, since the nurse cannot work a fraction of an hour, we need to round up to the nearest hour. Therefore, the nurse would need to work for 8 hours in order to visit all 37 patients.

So, the nurse can visit all of his patients if he works for at least 8 hours in a day.

Learn more about number of hours here:https://brainly.com/question/21289653

#SPJ1

The answer of the question about the points a, b, and c are the sample size is large enough to use the central limit theorem, the mean is $62,000, the standard error $2,700. and the probability of the sample mean is approximately 0.0002.

A) The sample size is large enough to use the central limit theorem for means. This is because the central limit theorem states that the sampling distribution of the mean will approach a normal distribution as the sample size increases, and a sample size of 100 is generally considered to be large enough for the central limit theorem to apply.

B) The mean of the sampling distribution is equal to the population mean, which is $62,000. The standard error of the sampling distribution is equal to the standard deviation of the population divided by the square root of the sample size, or $27,000 / √100 = $2,700.

C) The probability that the sample mean will be more than $2,700 away from the population mean can be found using the standard normal distribution. We can find the z-score for $2,700 using the formula z = (x - μ) / σ, where x is the sample mean, μ is the population mean, and σ is the standard error. Plugging in the values gives us z = ($2,700 - $62,000) / $2,700 = -22.04. Using a standard normal table, we find that the probability of the sample mean being more than $2,700 away from the population mean is approximately 0.0002.

Learn more about income:

https://brainly.com/question/25895372

#SPJ11

Answer:

The correct statement is (B), You can safely carry out the test if your sample size is large and there are no outliers.

Step-by-step explanation:

Step 1: Given Information

A one-sample test about a population mean using a significance level.

Next,  OR Step 2

To identify the correct statement:

(a) False, because if a distribution is moderately skewed, then you can still carry out the test if the sample size is large ( or more).

(b) True, because if the sample size is larger ( or more) and there are no outliers, then you can still safely carry out the test.

(c) False, the sample size should be large ( or more) since the distribution is moderately skewed.

(d) False, the one-sample  test can only be used if the population standard deviation is unknown. You apply the onesample  test if the population standard deviation is known.

(e) False, -procedures are not robust, because they are heavily influenced by outliers.

Thus the answer to your problem is, B.

Learn more about similar topics here:

https://brainly.com/question/27343164

Using Monotone Convergence Theorem,  {aₙ} is an increasing sequence that is bounded above by 3, and thus it is convergent

To show that the sequence {aₙ} defined by a₁ = 1 and aₙ₊₁ = 3 - (1/aₙ) is increasing, we need to prove that aₙ < aₙ₊₁ for all n.

Let's first prove that aₙ < 3 for all n by induction:

Base case: For n = 1, a₁ = 1 < 3.

Inductive step: Assume aₙ < 3 for some arbitrary n. Then we have:

aₙ₊₁ = 3 - (1/aₙ) < 3 - (1/3) = 8/3

Since aₙ₊₁ is positive (because aₙ < 3), we can also write:

aₙ₊₁ = 3 - (1/aₙ) > 3 - 1 = 2

Therefore, we have:

2 < aₙ < 3 < aₙ₊₁

This shows that {aₙ} is an increasing sequence that is bounded above by 3, and thus it is convergent by the Monotone Convergence Theorem.

To find the limit of {aₙ}, we can take the limit of both sides of the recursive definition:

limₙ→∞ aₙ₊₁ = limₙ→∞ (3 - (1/aₙ))

Since {aₙ} is convergent, we can replace limₙ→∞ aₙ with a to get:

a = 3 - (1/a)

Multiplying both sides by a, we get:

a² = 3a - 1

This is a quadratic equation that can be solved using the quadratic formula:

a = (3 ± √(3² + 4))/2

a = (3 ± √13)/2

Since aₙ < 3 for all n, we have:

a = (3 - √13)/2

Therefore, the limit of {aₙ} is (3 - √13)/2.

Learn more on convergence of series here;

https://brainly.com/question/30761859

#SPJ1

The conclusion that the herds are not statistically different is false.

The correct option is B.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

You conducted a t-test to determine whether two herds of elk have statistically different migration dates.

The resulting p-value was .03.

Here, the p-value is less than 0.05.

That means,

the p-value is statistically significant.

And there is a 3% chance that the null hypothesis should be rejected.

Your conclusion is that the herds are not statistically different.

Therefore, your conclusion is incorrect.

To learn more about the hypothesis;

brainly.com/question/29519577

#SPJ1

The answer is option B, 1(1/2) yards.

How to determine the total amount?

We apply the following total sales calculation to get the total sales amount.

Total sales = original price + original price * sales tax rate

To find out how many yards of cloth remain, we need to subtract the amount used for making curtains from the total amount provided:

Total amount of cloth provided = 5(3/4) yards

Amount of cloth used for curtains = 4(1/4) yards

Remaining amount of cloth = Total amount of cloth provided - Amount of cloth used for curtains

= 5(3/4) - 4(1/4) yards

= 5 yards + 0.75 yards - 4 yards - 0.25 yards

= 1(1/2) yards

Therefore, the answer is option B, 1(1/2) yards.

To know more about total amount visit,

https://brainly.com/question/29327002

#SPJ1

After doing some thinking, I believe it's 6 m.