Work out the length of AB.
Give your answer to 3 significant figures.
A (-1, 6)
B (5, 3)

Answer:

2 is the answer

i used pemdas/ order of operations

Step-by-step explanation:

Answer:

x = -14

Step-by-step explanation:

Divide each side by -3.

Subtract 9 from each side.

Answer:

x = -14

Step-by-step explanation:

-3(x + 9) = 15

Answer:

2

Step-by-step explanation:

Hello, I Am BrotherEye

Below Are Imformation That Will Nourish You

Answer:

Arc Measure Given In Degrees

Find the circumference of the circle and then multiply by the measure of the arc divided by 360°. Remember that the measure of the arc is equal to the measure of the central angle. where r is the radius of the circle and m is the measure of the arc (or central angle) in degrees.

Step-by-step explanation:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

Answer:

Step-by-step explanation:

complex zeros always occur in pairs.

so zeros are -3,4-i,4+i

so fourth zero also intersects x-axis.

Hence there are two x-intercepts only.

Answer:  4/21

Step-by-step explanation:

1/7 = 6/42

2/3 = 28/42

28+6=34        

42-34=8        

8/42=4/21

Answer:

the top two on the right hand corner go in coressponding the one by the middle of the top row gos in alternative int and the far left gos in alt in bottom two go in cosecutive the middle far right go alt int middle row far left consecutive interior left gos alt ext and middle row right gos alt

Step-by-step explanation:

Sorry if this is late lol. Hope this helps other people too though.

Alternative interior

4 & 6

3 & 5

Corresponding

1 & 5

4 & 7

2 & 6

3 & 8

Alternative

1 & 8

2 & 7

Consecutive

4 & 5

3 & 6

The price of the bed after the markup is $527.80.

The given parameters:

The price of the bed after the discount of 30% is calculated as follows;

P = $580 - 0.3($580)

P = $406

The price of the bed after the markup is calculated as follows;

P = $406 + 0.3(406)

P = $527.8

Thus, the price of the bed after the markup is $527.80.

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Answer:

1) All possible number tickets for group that spends $57: A, B, C, D

2) All possible number tickets for group that spends $95: B, C, E, F

3) Each ticket will cost at most $19

Step-by-step explanation:

We are told that one group spends $57 dollars while the other group spends $95.

Now,we want to find all possible whole number ticket prices for each group and at most how much each ticket​ costs.

To do this, let's first find the factors of both amounts which will give us all possible whole number ticket prices for each group.

57: 1, 3, 19, 57

95: 1, 5, 19, 95

Since each ticket costs same amount, to find out at most how much each ticket costs, we will select the highest common factor of both groups which is 19.

Thus,each ticket will cost at most $19

just replace x with the highest value

f(\(x_{max}\)) = 3(2) + 2

= 8

The greatest value in the range of f(x) is 8.

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

WE are given that the domain for f(x) = 3x + 2 is -3 ≤ x ≤ 2.

We just need to replace x with the highest value;

f(2) = 3(2) + 2

f(2) = 8

Therefore, The greatest value in the range of f(x) is 8.

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Answer:

do you have the graph to solve it?

The number of people who know about the celebrity's proposal will continue to grow exponentially each day, starting from 888 and increasing by 50% each day. Let's analyze the growth in the number of people who know about the celebrity's proposal day by day.

Initially, 888 people know about the proposal. On the first day, the number of people who know increases by 50% of 888, which is (50/100) * 888 = 444 people. Therefore, after the first day, the total number of people who know is 888 + 444 = 1332.

On the second day, the number of people who know increases by 50% of 1332, which is (50/100) * 1332 = 666 people. Thus, the total number of people who know after the second day is 1332 + 666 = 1998.

Following this pattern, we can determine the number of people who know on subsequent days:

- On the third day: 1998 + (50/100) * 1998 = 2997 people.

- On the fourth day: 2997 + (50/100) * 2997 = 4495.5 (rounded to 4496) people.

- On the fifth day: 4496 + (50/100) * 4496 = 6744 people.

- And so on...

The growth in the number of people who know follows an exponential pattern since it increases by a certain percentage each day. The formula to calculate the number of people who know after a certain number of days can be written as:

N = 888 * (1 + 0.5)^d

where N is the total number of people who know after d days

In conclusion, the number of people who know about the celebrity's proposal will continue to grow exponentially each day, starting from 888 and increasing by 50% each day.

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Answer:

Can you? Yes!

Need be same? No.

Step-by-step explanation:

Because adding to or subtracting from the x will translate (shift or slide) your figure left or right (horizontally) and adding to or subtracting from the y will slide or shift the polygon up or down (vertically) So, both can happen and it need not be by the same amount.

The given statement about two consecutive odd numbers is true.

A statistical metric called correlation shows how closely two variables are connected or correlated with one another. It reveals if two variables are related, but it does not reveal whether one variable is the cause of the other. Contrarily, causation describes a link between two variables in which one variable has a direct impact on the other. A cause-and-effect link must be shown in order to prove causation, and this is frequently done through a well planned experiment that may focus on the impact of one variable on another.

Let us suppose the first odd number = x.

The second odd number will be = x + 2.

According to the given condition:

x² + (x+2)² = 8n + 2

2x² + 4x + 2 = 8n

x² + 2x + 1 = 4n

(x+1)² = 4n

Here, we have perfect squares on both sides.

As a result of this demonstrating that the left side is a multiple of four, the right side must likewise be a multiple of four. Hence, "n" has to be an even integer, such as "n = 2m."

Substituting this into the equation, we get:

(x+1)² = 8m

which shows that the left side is a multiple of 8, plus 2.

Hence, the given statement about two consecutive odd numbers is true.

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Answer:

20

Step-by-step explanation:

add 7 to 13 (20) and then subtract 7 from 20 and you get 13. hope it helps :)

Answer:

-9/ 11 ____-5/11 _____ - 2/11

Step-by-step explanation:

-2/11, -5/11, -9/11

All the numbers are negative ; the fraction which is largest is 9/11 ; then 5 /11 ; then 2 /11 ; however, since they are negative, they largest fraction becomes the least value.

Numbers on a number line are arranged from least to highest. Hence the numbers will be arranged in a number line as follows :

-9/ 11 ____-5/11 _____ - 2/11

A solution of \(y" + 2y' + 2y = 3f1(t) + f2(t)\) using the superposition principle is given by: \(y = ((3-f2(t))/8) y1 + ((1+3f1(t))/8) y2\)

It be found by taking a linear combination of the two given solutions y1 and y2. Let c1 and c2 be constants, then the solution y can be expressed as y = c1y1 + c2y2.  To find c1 and c2, we differentiate y twice and substitute it into the given differential equation:

\(y' = c1(2cos(3t) - 6tsin(3t)) + c2(-6e^-{t sin(6t)} - e^{-t cos(6t)})\)

\(y" = c1(-18sin(3t) - 36tcos(3t)) + c2(-36e^{-t sin(6t)} + 12e^{-t cos(6t)})\)

Substituting these expressions for y and its derivatives into the differential equation and simplifying, we get: \((3c1 + c2) f1(t) + (c1 + 3c2) f2(t) = 0\)

Since this must hold for all t, we can equate the coefficients of f1(t) and f2(t) to zero to get the system of equations: \(3c1 + c2 = 3, c1 + 3c2 = 1\)

Solving for c1 and c2, we get \(c1 = (3-f2(t))/8\) and \(c2 = (1+3f1(t))/8.\)

Note that this solution is valid only if f1(t) and f2(t) are continuous and differentiable.

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Step-by-step explanation:

If n represents the number, then you get;

n(13-6) or n(7) or n * 7

Answer:

The square root of negative 11 is 3.31662479 i

The statement if true, for 95% of the samples from the population, the confidence interval we compute will contain the true mean.

In the given question we have to check whether the given statement is TRUE or FALSE.

The given statement is:

For 95% of the samples from the population, the confidence interval we compute will contain the true mean.

Because the underlying approach succeeds on 95% of random samples, we have a 95% confidence that this confidence interval contains the population mean.

Approximately 95% of the estimated intervals will contain the actual value of the population mean if samples are taken frequently and 95% confidence intervals are generated.

So the given statement is true.

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To find the probability that the sample proportion of Republicans will be greater than 60% in a sample of 447447 voters, we need to use the concept of sampling distributions and the normal approximation to the binomial distribution.

To calculate the probability, we can use the normal approximation to the binomial distribution since the sample size is large (447447) and the proportion of Republicans in the population is given (56%).

First, we calculate the mean and standard deviation of the sampling distribution. The mean (μ) is equal to the proportion of Republicans in the population (56%) and the standard deviation (σ) is determined using the formula: σ = sqrt((p * (1 - p)) / n), where p is the proportion of Republicans and n is the sample size.

Next, we standardize the sample proportion of 60% using the formula: z = (x - μ) / σ, where x is the sample proportion we want to find the probability for. In this case, x is 60%.

Finally, we use a standard normal distribution table or a statistical calculator to find the probability corresponding to the standardized value of z. The probability will be the area under the curve to the right of the standardized value.

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Mr. Green should use mean value. The mean temperature is 77.86 degrees Fahrenheit. The Option C.

Temperature refers to the measure of the warmth or coldness of an object or substance with reference to some standard value.

The table values which can be used to represent the temperature are:

To summarize temperatures for each day,he should use the mean (average) temperature because the mean temperature provides a measure of central tendency while taking into account all the data points in the dataset. Therefore, Option C is correct.

Full question:

Mr. Greene created a data set that represents the daily high temperatures, in degrees Fahrenheit, in his city over a week.

The values in the table describe the data set.

Minimum 73

Mean 77.86

Mean Absolute Deviation 2.73

Median 79

InterquartileRange 6

Maximum 82

Mr. Greene wants to use a single number that summarizes the temperatures for each day. Which value should he use? A. interquartile range B. mean absolute deviation C. mean D. maximum.

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Ms. Adams did not invest any amount in the municipal bond or certificate of deposit. She placed the entire $15,000 in the money market account.

Let's break down the information given and solve the problem step by step: Let's assume:

Amount invested in the municipal bond = x

Amount invested in the certificate of deposit = 2x (twice the amount of the municipal bond)

Balance of the money invested in the money market account = Total amount invested - (amount in municipal bond + amount in certificate of deposit)

Interest from the municipal bond:

Interest = Principal (amount invested) × Rate × Time

Interest = x × 0.056 × 1 (assuming 1 year)

Interest from the municipal bond = 0.056x

Interest from the certificate of deposit:

Interest = Principal (amount invested) × Rate × Time

Interest = (2x) × 0.042 × 1 (assuming 1 year)

Interest from the certificate of deposit = 0.084x

Interest from the money market account:

Interest = Principal (amount invested) × Rate × Time

Interest = (Total amount invested - (amount in municipal bond + amount in certificate of deposit)) × 0.038 × 1 (assuming 1 year)

Interest from the money market account = (Total amount invested - 3x) × 0.038

Given that the total interest for one year is $635, we can set up the equation:

Interest from the municipal bond + Interest from the certificate of deposit + Interest from the money market account = Total interest

0.056x + 0.084x + (Total amount invested - 3x) × 0.038 = 635

Simplifying the equation:

0.056x + 0.084x + 0.038(Total amount invested - 3x) = 635

0.056x + 0.084x + 0.038Total amount invested - 0.038(3x) = 635

0.056x + 0.084x + 0.038Total amount invested - 0.114x = 635

0.056x + 0.084x - 0.114x + 0.038Total amount invested = 635

-0.026x + 0.038Total amount invested = 635

To solve for Total amount invested, we need the value of x. Let's rearrange the equation to solve for x:

0.038Total amount invested = 0.026x + 635

Total amount invested = (0.026x + 635) / 0.038

Substituting the value of Total amount invested in the equation:

0.056x + 0.084x - 0.114x + 0.038((0.026x + 635) / 0.038) = 635

Simplifying the equation further:

0.056x + 0.084x - 0.114x + 0.026x + 635 = 635

Combining like terms:

0.052x + 635 = 635

Subtracting 635 from both sides:

0.052x = 0

Solving for x:

x = 0 / 0.052

x = 0

Since x = 0, it means that Ms. Adams did not invest any amount in the municipal bond.

Now, to find the amounts invested in the certificate of deposit and money market account:

Amount invested in the certificate of deposit = 2x = 2 * 0 = 0

Amount invested in the money market account = Total amount invested - (amount in municipal bond + amount in certificate of deposit)

Amount invested in the money market account = Total amount invested - (0 + 0)

Amount invested in the money market account = Total amount invested

Therefore, all $15,000 was placed in the money market account.

In conclusion, Ms. Adams did not invest any amount in the municipal bond or certificate of deposit. She placed the entire $15,000 in the money market account.

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Answer:

245 physics and 156 history

Step-by-step explanation:

401-89=312

312/2=156

156+89=245

245+156=401

245 physics and 156 history

Answer:

43 coupons to existing members

Step-by-step explanation:

Overall, since they provided 6 times as many to potential members as to regular members, 6(potential members) + 1/6 of 6 ( for existing members)=7

301/7=43 existing members

To check our answer, we can do 43 + 43(6 for those potential members) and we get 301! Hope this helps!

Answer:

Ans = 8

Step-by-step explanation:

because -- is + and  −−√70 is positive

so square root =8.366600265340757

and 8 is bigger as 8.366600265340757 is a decimal number.

Answer:

$6.40

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.4

The t-distribution can be used to construct confidence intervals of means when the sample size is more than 30 or when the population's distribution is unknown. the sample size is greater than 30, and the population's distribution is unknown.

The 95% confidence interval can be calculated using the theory-based inference applet:For a 95% confidence interval, the value o\(f t=2.03The 95%\)confidence interval for the average diameter of needles produced by the manufacturing process is(1.614,1.666)c. Since the confidence interval includes 1.65, there is no evidence that the average diameter of needles produced by this manufacturing process is different from 1.65mm.

If the average diameter was 1.65mm, we would anticipate observing data in the interval we just created 95% of the time. As a result, we cannot reject the hypothesis that the average diameter of needles produced by the manufacturing process is different from 1.65mm since the confidence interval contains 1.65mm.

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Answer:

20

Step-by-step explanation:

3x+15=4x-5

3x+15-15=4x-5-15

Using the slope - intercept format, the equation which models the data represented by the graph is d(t) = -50t + 300

According to the general form of a linear regression equation :

Slope, b = (Δy ÷ Δx)

Slope = (200 - 50) ÷ (2 - 5)

Slope = 150 ÷ -3 = -50

Intercept is the point where the regression line crosses the y - axis.

From the graph, the intercept = 300

Hence, the regression equation is y = -50t + 300

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