Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x+6)^2 - 49
lesser x=
greater x =

Answer: The first three odd prime numbers are 3, 5, and 7. A number is a multiple of two but not three of these prime numbers if it is divisible by two of them, but not the third.

To find the number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers, we can count the number of multiples of each pair of prime numbers and subtract the number of multiples of all three prime numbers.

There are 200 multiples of 3 and 5 between 1000 and 2000 (200 numbers for each, for a total of 200 * 2 = 400). There are 133 multiples of 3 and 7 between 1000 and 2000 (133 numbers for each, for a total of 133 * 2 = 266). There are 80 multiples of 5 and 7 between 1000 and 2000 (80 numbers for each, for a total of 80 * 2 = 160). There are no multiples of all three prime numbers between 1000 and 2000.

Thus, the total number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers is 400 + 266 + 160 = 826.

Step-by-step explanation:

Answer:

the LCM of 18 25 40 80 81 and 72 is 226800

i hope this helps you

Step-by-step explanation:

by which method

prime factorization , division or defination method

Answer:

above is the solution to the question

Answer:

the answer will be 5.3. area is 0ne over two base times height

Answer:

29 when rounded up 27 when rounded down and 28.56 in genral

Step-by-step explanation:

Answer:

28 or 30

Step-by-step explanation:

42 to 40 and 68 to 70 then

hope this helps :b

15= 1/2 + 3/2x + 10

X=3

The distance between the two spheres is 6 - √5 units.

To find the distance between the spheres x² + y² + z² = 4 and x² + y² + z² = 8x + 8y + 8z - 47, first rewrite the second equation:

x² - 8x + y² - 8y + z² - 8z = -43

Now, complete the squares for x, y, and z terms:

(x - 4)² - 16 + (y - 4)² - 16 + (z - 4)² - 16 = -43

Combine the constants:

(x - 4)² + (y - 4)² + (z - 4)² = 5

Now, we have two spheres with centers (0, 0, 0) and (4, 4, 4) and radii 2 (from √4) and √5 (from √5), respectively. To find the distance between the spheres, subtract their radii from the distance between their centers:

Distance = √[(4 - 0)² + (4 - 0)² + (4 - 0)²] - 2 - √5
Distance = √(64) - 2 - √5
Distance = 8 - 2 - √5

So, the distance between the two spheres is 6 - √5 units.

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We can see that the constant of proportionality between x and y is k = 8, using that we can see that when x = 12 the value of y is 96

We know that x and y vary directly, then we can write the equation that relates these variables as.

y = kx

Where k is a constant

We know that y = 48 when x = 6, then we can write.

48 = k*6

48/6 = k

8 = k

The relation is:

y = 8*x

Then if x = 12, we have.

y = 8*12

y = 96

That is the value of y.

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(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

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Answer: C

Step-by-step explanation:

From the p-value of the test, it is found that the conclusion is:

There is sufficient evidence that there is a difference in mean weight loss between men and women.

At the null hypothesis, it is tested if there is no difference between the mean weight loss of men and women, that is:

\(H_{0} : \mu_{m}-\mu_{w} =0\)

At the alternative hypothesis, it is tested if there is difference, that is:

\(H_{0} : \mu_{m}-\mu_{w} \neq 0\)

The p-value is of 0.03 < 0.05, hence the null hypothesis is rejected, and it is found that there is significant evidence to conclude that there is a difference.

Hence,

From the p-value of the test, it is found that the conclusion is:

There is sufficient evidence that there is a difference in mean weight loss between men and women.

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Answer:

a= b/x + c/x

x= b/a + c/a

c= -b + ax

b= ax - c

Step-by-step explanation:

It depends on what your solving for so here are the answers for all.

After using the formula for the area of the triangle, we know that the area is 200 cm² when the height is 25 cm and the base is 16 cm respectively.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

The easiest approach I've found to know for sure if an angle is 90 degrees is to use the 3:4:5 triangle.

According to this criterion, a triangle is a right triangle if the diagonal between its two points measures 5, even though one of its sides measures 3 and the other measures 4.

So, the formula for the area of the triangle is:

A = 1/2 *  base  *  height

Now, calculate the area by inserting the values as follows:\

A = 1/2 *  base  *  height

A = 1/2 *  16 *  25

A = 8 * 25

A = 200 cm²

Therefore, after using the formula for the area of the triangle, we know that the area is 200 cm² when the height is 25 cm and the base is 16 cm respectively.

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Answer:

1. (2,5),(1,3.5),(4,8),(6,11)

2. This is not a proportional relationship (explanation below)

Step-by-step explanation:

For the plotting, if you take some random x values and multiply by 1.5 and add 2 to them.  

This can't be a proportional relationship. A proportional relationship means the x and y values' ratios have to stay the same. However, because 2 is added to 1.5x, the equation is not proportional.

The four x and y values that make the equation true are (0,2), (-1.333,0), (1,3.5), and (1,3.5).

Therefore,

We select several x and y values,

1) Take x=0,

y = 1.5(0) + 2 =2.

The point is (0,2).

2) Take y=0,

0 = 1.5x + 2

x = -2/1.5 = -1.333

The point is (-1.333,0).

3) Take x=1,

y = 1.5(1) + 2 = 3.5

The point is (1,3.5).

4) Take y=1,

1 = 1.5x +2

1.5x = -1

x = -1/1.5 = -0.666.

The point is (-0.666,1).

The four sets of x and y numbers that make the equation true are (0,2), (-1.333,0), (1,3.5), and (0,2).

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Answer:

the missing number is 12

Step-by-step explanation:

what divided by 6 (total # of values given) + 78 (sum of 5 given values) =  15

let x be the missing value:

(x+78)/6 = 15

x + 78 = 90

x = 12

Answer:

look at the pic below and just connect the points

Step-by-step explanation:

We define x as the number that we are looking for

now, we will write the equation following the conditions that they give us

Now we pass -x to the right with opposite sign, and 17 to the left with opposite sign

The we solve the substraction and we have

Finally, we can check if our answer actually fulfill the conditions given below

Answer:

The financial incentive had a significant effect on the proportion of individuals who quit smoking

Step-by-step explanation:

To determine if the financial incentive had a significant effect on the proportion of individuals who quit smoking, we can conduct a hypothesis test.

Null hypothesis: The proportion of individuals who quit smoking in the financial rewards group is the same as the proportion who quit smoking in the traditional group.

Alternative hypothesis: The proportion of individuals who quit smoking in the financial rewards group is greater than the proportion who quit smoking in the traditional group.

We can use a one-tailed z-test for proportions to test this hypothesis, with a significance level of 0.05.

First, we calculate the pooled proportion of individuals who quit smoking:

p = (number of individuals who quit smoking in financial rewards group + number of individuals who quit smoking in traditional group) / (total number of individuals in both groups)

p = \(\frac{(0.15 * 439 + 0.05 * 439)}{878}\)

p = 0.1

Next, we calculate the standard error of the difference between the two proportions:

SE = \(\sqrt{(p(1-p) * ((1/n1) + (1/n2)))}\)

where n1 is the sample size of the financial rewards group (439) and n2 is the sample size of the traditional group (439).

SE = \(\sqrt{(0.1 * 0.9 * ((1/439) + (1/439)))\)

SE = 0.022

Finally, we calculate the test statistic:

z = (p1 - p2) / SE

where p1 is the proportion of individuals who quit smoking in the financial rewards group (0.15) and p2 is the proportion of individuals who quit smoking in the traditional group (0.05).

z = (0.15 - 0.05) / 0.022

z = 4.55

The critical z-value for a one-tailed test with a significance level of 0.05 is 1.645.

Since our calculated z-value is greater than the critical z-value, we reject the null hypothesis and conclude that the proportion of individuals who quit smoking in the financial rewards group is significantly greater than the proportion who quit smoking in the traditional group.

Therefore, we can say that the financial incentive had a significant effect on the proportion of individuals who quit smoking.

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You cant do it on normal calculators you will need somthing like the TI-84 or CASIO FX-9860GII .

Answer:

b

Step-by-step explanation:

because he borrowed $2 everyday and now he owes 10 so b

yw! :)

pls make me brainliest

Single Sampling Plan: AQL = 0, LTPD = 3.41, AOQ = 1.79 Double Sampling Plan: AQL = 0, LTPD = 2.72, AOQ = 1.48

The values for the ASN (Average Sample Number) curves for the given single sampling plan and double sampling plan are:

Single Sampling Plan (n=80, c=3):

ASN curve values: AQL = 0, LTPD = 3.41, AOQ = 1.79

Double Sampling Plan (n1=50, c1=1, r1=4, n2=50, c2=4, r2):

ASN curve values: AQL = 0, LTPD = 2.72, AOQ = 1.48

The ASN curves provide information about the performance of a sampling plan by plotting the average sample number (ASN) against various acceptance quality levels (AQL). The AQL represents the maximum acceptable defect rate, while the LTPD (Lot Tolerance Percent Defective) represents the maximum defect rate that the consumer is willing to tolerate.

For the single sampling plan, the values n=80 (sample size) and c=3 (acceptance number) are used to calculate the ASN curve. The AQL is 0, meaning no defects are allowed, while the LTPD is 3.41. The Average Outgoing Quality (AOQ) is 1.79, representing the average quality level of outgoing lots.

For the equally effective double sampling plan, the values n1=50, c1=1, r1=4, n2=50, c2=4, and r2 are used. The AQL and LTPD values are the same as in the single sampling plan. The AOQ is 1.48, indicating the average quality level of outgoing lots in this double sampling plan.

These ASN curve values provide insights into the expected performance of the sampling plans in terms of lot acceptance and outgoing quality.

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Answer: The arc length of the clock is 31.42cm

Step-by-step explanation:

1. Use your section formula: S = r (Radius) θ (Theta: Angle in radians)

2. Convert your 180 degrees to radians by multiplying it by π / 180, resulting in π radians.

3. Take your radius of 10cms and multiply it by π, leaving 31.42cm. This is the length of the 180 degree arc.

Answer:

The Answer is 14 feet. your answer

Answer:

t=2

Step-by-step explanation:

this is the t answer k

Answer:

Use Photo math. It will explain the steps.

Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event.

True. The notation P(a | b) represents the conditional probability of event a given that event b has occurred. It is read as "the probability of a given b."

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Answer:

The missing side = 30 cm

Step-by-step explanation:

Pythagorean Theorem

a^2 + b^2 = c^2

40^2 + b^2 = 50^2

1600 + b^2 = 2500

-1600             -1600

b^2=900

square root of both sides

b=30 cm

C. 2%; exponential decay

You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.

The percent rate of change in given function is -2%

The function represents exponential decay.

For finding this, first find how much the output y changes if we change x from x to x + 1.

Output when x = x:   \(y = (0.98)^x\)

Output when x = x+1:  \(y = (0.98)^{x+1}\)

Difference in output if x goes from x to x+1: \((0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x\) (this change occurs if we increase input x by 1 unit, thus this also represents the rate)

Rate of change of function per unit increment = \(-0.02 \times (0.98)^x\)

The percentage of rate of change is found as:

\(\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%\)

Thus, the percent rate of change is -2%

The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.

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The tangent line to the curve at (1 ,- 1) is  found by using the point-slope formula: is, y + 1 = 0

Now, We can find the value of x and y values corresponding to t=1.

Hence, They are:

⇒ x= (1) = 1

And,  y = (1) - 2 = - 1

And, The slope of the tangent line to the graph is

⇒ dy/dx =   dy/dt / dx / dt = (2t - 2) / 1          

Thus, dy/dx (at t=1)

dy / dx = 0

3.  Now we have both a point (1, - 1) on the graph and the slope of the tangent line to the curve at that point: 0

Hence, The tangent line to the curve at (1 ,- 1) is  found by using the point-slope formula:

⇒ y - y₁ = m(x - x₁)

⇒ y - (-1) = 0 (x - 1),

or y + 1 = 0

Thus,  The tangent line to the curve at (1 ,- 1) is  found by using the point-slope formula: is, y + 1 = 0

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Answer:

  yes; AB ⊥ BC

Step-by-step explanation:

If the triangle is to be a right triangle, the slopes of two sides must be opposite reciprocals. The slope is the ratio of rise to run.

  mAB = rise/run = -3/4

  mBC = rise/run = 4/3

These slopes, -3/4 and 4/3 are opposite reciprocals (their product is -1), so ...

  AB ⊥ BC . . . the triangle is a right triangle