what is the eqquation for the line that passes through points (10,-6) and (6,6)

Given the ratio for dinosaur stamps to airplane stamp, the correct ratio is 18 : 12

Dinosaur stamps = 18

Airplane stamps = 12

John wrote:

ratio of dinosaur stamps to airplane stamps = 12 to 18

Correct ratio:

ratio of dinosaur stamps to airplane stamps = 18 : 12

= 18/12

= 3/2

= 3 : 2

Number of carrots per rabbits = 52 ÷ 6

= 8.67 carrots per rabbits.

Therefore, Jenny's expression is correct.

Learn more about ratio:

https://brainly.com/question/1781657

Answer:

10

BEEP

BPEE

BEPE

EEPB

EEBP

EBEP

EPEB

PBEE

PEEB

PEBE

Answer:

12

Step-by-step explanation:

4! is 4*3*2*1

since there were 4 letters 4 could be chosen at the first letter

since one of the letters were chosen only 3 could be chosen as the second letter

and then it is 2 because there are 2 letters left

and 1 because there is only 1 letter left

so 4!

Then you divide by 2 because the 2 es are indistinguishable

717177Step-by-step explanation:

Answer:

no

Step-by-step explanation:

if you're referring to 4 multiplied by 10 to the 4th power (10^4) and 3 multiplied by 10 to the 5th power (10^5) then no. because the first equation comes out to 40,000 and the second one comes out to 300,000.

It can be seen that the expression simplifies to x - 1.

This division is typically performed using polynomial long division or synthetic division.

However, because the degree of the numerator (3) is just one more than the degree of the denominator (2), we can directly look for a simple expression in the form of x + a, where 'a' is a constant.

Solving for 'a', we get \((x^3 - 9) = (x^2 + 1)(x + a). \\\)

Expanding the right side, it's \(x^3 + ax^2 + x + a.\)

Equating coefficients, a = -1, as there is no \(x^2\) term on the left side.

So, the expression simplifies to x - 1.

Read more about equations here:

https://brainly.com/question/22688504

#SPJ1

The Complete Question

(x³ -9) : (x ² + 1)
divide the polynomial (x³ - 9) by the polynomial (x² + 1).

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Learn more about hypothesis on:

brainly.com/question/15980493

#SPJ12

Answer:

$2122.17 (correct to the nearest cent).

Explanation:

To find the amount after 5 years, we use the compound interest formula below:

Substitute the given values:

After 5 years, you will have $2122.17 (correct to the nearest cent).

Answer:

\(3\frac{1}{3}\ ft^3\)

Step-by-step explanation:

A rectangular prism is a polyhedron with six rectangular faces. The volume of a prism is given by:

Volume = width * height * length

From the diagram, the rectangular prism is made up of cubes. Each cube is has a size of 1/3 ft by 1/3 ft.

The height of the prism is made up of 5 cubes. Height = 5 * 1/3 = 5/3 ft.

The length of the prism is made up of 3 cubes. length = 3 * 1/3 = 1 ft.

The width of the prism is made up of 2 cubes. Width = 2 * 1/3 = 2/3 ft.

The volume of the prism = width * height * length = 2/3 * 5/3 * 1 = 10/9 ft³ =  \(3\frac{1}{3}\ ft^3\)

Answer:

it is 3 1/3 good day

Step-by-step explanation:

Using the concept of bearing and displacement, the seal is 3.276km from it's starting point.

To determine how far north the seal is from its starting point, we need to find the northward component of its displacement.

Given that the seal swims on a bearing of 055 degrees, we can consider this as the direction with respect to true north. To find the northward component, we need to calculate the sine of the angle.

The northward component can be found using the formula:

Northward component = Displacement * sin(Bearing)

In this case, the displacement is 4 km, and the bearing is 055 degrees.

Northward component = 4 km * sin(55 degrees)

Using a calculator, we find that sin(55 degrees) ≈ 0.8192.

Northward component ≈ 4 km * 0.8192

Northward component ≈ 3.276 km

Therefore, the seal is approximately 3.2768 km north of its starting point.

Learn more on bearing here;

https://brainly.com/question/22719608

#SPJ1

Answer:

B

Step-by-step explanation:

Answer:

r+2.75=3÷0.5

r+2.75=6

r=6-2.75=3.25

Answer:

3.25

Step-by-step explanation:

It's the answer on Khan

Confidence interval = (y ± t∗s/√n)g1 = y - t*s/√ng2 = y + t*s/√n Substituting the values, g1 = 26.22 - 1.860*(0.11)/√9 = 25.84g2 = 26.22 + 1.860*(0.11)/√9 = 26.59Therefore, the statistics g1 and g2 that will satisfy the required inequality are 25.84 and 26.59 respectively.

The formula for finding the confidence interval is as follows: n − 1, where t is the value of the t-distribution corresponding to the specified confidence level and the sample size minus one.

As per the given exercise 7.11, suppose that in the forest fertilization problem the population standard deviation of basal areas is not known and must be estimated from the sample.

If a random sample of n = 9 basal areas is to be measured, find two statistics g1 and g2 such that p(g1 ≤ (y - u) ≤ g2) = 90

To find the statistics g1 and g2 that will satisfy the required inequality

the following formula can be used: Confidence interval = \((y ± t∗s/√n)\)

From the formula, we can see that the confidence interval depends on the values of y, s, t and n.

The value of y is the sample mean

the value of s is the sample standard deviation

And the value of n is the sample size.

The value of t depends on the confidence level desired and the degrees of freedom for the t-distribution. In this case, the confidence level is 90%, which means that we want to find the value of t that will give us a total area of 0.90 under the t-distribution curve with 8 degrees of freedom .Using the t-table, the value of t can be found to be 1.860, where the value for 90% and 8 degrees of freedom is 1.860.t = 1.860Now, we need to calculate the value of s, which is the sample standard deviation.

Since we do not have any information about the population standard deviation, we will use the sample standard deviation as an estimate of the population standard deviations = σ/√nσ = s*√nσ = 0.11*√9σ = 0.33Substituting the values in the confidence interval formula

for such more questions on statistics

https://brainly.com/question/30915447

#SPJ11

To find an equation of a plane through a given point and perpendicular to a given line, you can follow these steps:

1. Find the direction vector of the given line. This can be done by subtracting the coordinates of any two points on the line. Let's denote this vector as "d".

2. Find the normal vector of the plane. Since the plane is perpendicular to the line, its normal vector will be the same as the direction vector of the line. So, the normal vector of the plane is "d".

3. Use the coordinates of the given point on the plane to find the equation of the plane. Let's denote the coordinates of the point as (x₀, y₀, z₀).

The equation of the plane can be written as:

Ax + By + Cz = D,

where A, B, C are the components of the normal vector "d", and x, y, z are the variables representing any point on the plane.

To find the values of A, B, C, and D, substitute the coordinates of the given point into the equation:

A(x₀) + B(y₀) + C(z₀) = D.

Therefore, the equation of the plane through the given point and perpendicular to the line is:

d₁(x - x₀) + d₂(y - y₀) + d₃(z - z₀) = 0,

where (d₁, d₂, d₃) are the components of the direction vector "d" of the line, and (x₀, y₀, z₀) are the coordinates of the given point.

to know more about perpendicular here:

brainly.com/question/12746252

#SPJ11

Find the equation of the plane passing through the point (−1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0.

Answer:

I don't under stat it write the whole question

Answer: It is equidistant from the segment's endpoints

Step-by-step explanation:  This can also be called "a locus of point" and this is now the perpendicular bisector theorem.

The statement "in every instance of the stable matching problem, there is a stable matching containing a pair (m, w) such that m is ranked first on the preference list of w and w is ranked first on the preference list of m" is true.

Stable pairing is a way which guarantees that all elements from two sets (men and women, children and toys, people and vacation destinations, whatever) are paired with an element from the other set AND that pair is the "best available match".

According to the statement, men are free to create a list of women's according to their preferences. There will be order sequence of women and men places them in queue of their preference. The men proposes the women with highest ranking in the list then it is possible that all men gets their preferred choice.

The pairing is a best available match and therefore can be called as a stable matching problem. Hence the statement is true.

To know more about stable matching,

https://brainly.com/question/17143857?referrer=searchResults

#SPJ4

The mean of given data is 5.

To find: Mean of the given data

Given data: 5

Mean: Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Here sum of observation is 5

Arithmetic mean refers to the average amount in a given group of data. It is defined as the summation of all the observation is the data which is divided by the number of observations in the data

Total number of observation is 1

The number of observations provides information on the total number of values that are contained in the Dataset. This property is intended to provide an indication of the size of a Dataset

Now substitute the values in above formula

=\(\frac{5}{1}\)=5

Therefore, the mean is 5.

For more questions on mean

https://brainly.com/question/29021104

#SPJ4

Answer:

Circumference ~ 106.8

Step-by-step explanation:

Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is 17. Plug 17 into the formula 2(pi)r to find the Circumference. The answer is 106.8 rounded to the nearest tenth.

Based on the context of the problem, the range of the exponential function y = \(45,529(0.78)^x\) is y > 0.

The exponential function for depreciation given in the problem is:

y = 45,529(0.78)^x

This function gives us the value of Sharlene's truck in dollars after x months of ownership, assuming that the depreciation follows a constant rate and is modeled by an exponential function.

To find the range of the function, we need to consider the minimum value that y can take. Since depreciation leads to a decrease in value over time, y should always be greater than zero. In other words, the range of the function is:

y > 0

In practical terms, this means that Sharlene's truck will always have some positive value, even if its market value has decreased due to depreciation. In other words, a truck is never worth zero or less than zero (unless it has additional debts associated with it), and Sharlene's truck will always have some resale or scrap value even if it has depreciated significantly.

For such more questions on exponential

https://brainly.com/question/30127596

#SPJ8

The area of the shaded region is 200. 96 square units

From the diagram shown, we have that the shape of the shaded area is spherical.

Now, the formula for calculating the area of a sphere is expressed as;

A = 4πr²

Such that the parameters of the formula are expressed as;

Substitute the values, we have;

Area = 4 × 3.14 × 4²

Find the squares, we have;

Area = 4 × 3.14 ×16

Multiply the values, we have;

Area = 200. 96 square units

Learn more about area at: https://brainly.com/question/25292087

#SPJ1

The linear equations of the candles are y = 0.5x + 8 and y = 0.4x + 8. And both relationships are the function.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A candle burns down at the rate of 0.5 inches per hour.

The original height of the candle was 8 inches.

Let y be the height of the candle and x be the number of hours.

Then the linear equation will be given as

\(\rm y = mx + c\)

where m is the rate and c is the initial value. Then the linear equation of the candle will be

y = -0.5 x + 8

The function is a linear function.

If the value of m is replaced by 0.4. Then the linear equation will be

y = 0.4x + 8

And this will also be a linear function.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

\(m=\frac{\Delta y}{\Delta x}=\frac{-2-6}{16-(-30)}=\frac{-8}{46}=\boxed{-\frac{4}{23}}\).

Hope this helps.

Answer:

P(A) = f / N

Step-by-step explanation:

Probability determines the likelihood of an event occurring: P(A) = f / N. Odds and probability are related but odds depend on the probability. You first need probability before determining the odds of an event occurring.

Thus, minimum of 3 usual smokers out of 22 adults is found when using the Range Rule of Thumb.

Using the Range Rule of Thumb, we can estimate the minimum number of usual smokers in a sample of 22 adults by considering the expected proportion of smokers in the population and applying it to the sample size.

According to this rule, the range of a distribution can be approximated as six times the standard deviation.

To estimate the minimum number of usual smokers we can expect to get out of 22 adults, we first need to find the standard deviation.

Given that 14% of the population smokes, we can express this proportion as a decimal: 0.14.

To determine the expected number of smokers in the sample, we simply multiply the proportion by the sample size: 0.14 * 22 = 3.08.

Since we cannot have a fraction of a person, we round the result to the nearest whole number.

In this case, we can expect a minimum of 3 usual smokers out of 22 adults when using the Range Rule of Thumb.

Know more about the Range Rule of Thumb

https://brainly.com/question/14449159

#SPJ11

Using it's concept, the rate of change between point C and point D is of 2.

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

\(r = \frac{f(b) - f(a)}{b - a}\)

Considering the points of the given linear function, we have that:

Hence the rate of change between point C and point D is given by:

r = (4 - 2)/(2 - 1) = 2.

More can be learned about the average rate of change of a function at https://brainly.com/question/24313700

#SPJ1

Hello! I'd be happy to help you evaluate the integral ∫sin³(t)cos(t)dt using the substitution u = sin(t). Let's follow the steps:

1. Substitute: Replace sin(t) with u, so sin³(t) becomes u³. To find the differential, take the derivative of the substitution equation: du/dt = cos(t).

2. Rewrite integral: Multiply both sides of the equation du/dt = cos(t) by dt to get du = cos(t)dt. Now, the integral becomes ∫u³du.

3. Evaluate the integral: To evaluate ∫u³du, use the power rule for integration, which is ∫u^n du = (u^(n+1))/(n+1) + C. In this case, n = 3, so we have:

∫u³du = (u^4)/4 + C.

4. Resubstitute: Replace u with the original expression, sin(t), to obtain the final answer:

∫sin³(t)cos(t)dt = (sin^4(t))/4 + C.

To know more about ∫sin³(t)cos(t)dt :-

https://brainly.com/question/30371023

#SPJ11

To evaluate the integral ∫sin3 t cos t dt by making the substitution u = sin t, we need to follow these steps:

1. First, we need to express sin3 t in terms of u. Using the identity sin^2 t = 1 - cos^2 t, we can rewrite sin^3 t as sin t * sin^2 t = sin t * (1 - cos^2 t) = sin t - sin t * cos^2 t. Since u = sin t, we can substitute sin t = u and cos t = √(1 - u^2) to get sin^3 t = u - u * √(1 - u^2).

2. Next, we need to find the derivative of u with respect to t, which is du/dt = cos t. We can solve for dt in terms of du by rearranging to get dt = du/cos t. Since we have cos t = √(1 - sin^2 t) = √(1 - u^2), we can substitute cos t = √(1 - u^2) and dt = du/√(1 - u^2).

3. Now we can substitute u and du/√(1 - u^2) into the integral to get: ∫(u - u * √(1 - u^2)) * √(1 - u^2) * (du/√(1 - u^2)).

4. Simplifying the expression gives us: ∫(u√(1 - u^2) - u^3) du.

5. Integrating this expression gives us: (1/2) * (1 - u^2)^(3/2) - (1/4) * u^4 + C, where C is the constant of integration.

6. Finally, we need to substitute back u = sin t to get the final answer in terms of t: (1/2) * (1 - sin^2 t)^(3/2) - (1/4) * sin^4 t + C.

To know more about integral visit:

https://brainly.com/question/31584559

#SPJ11

The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

Hello,

\(sin(45^o)=\dfrac{\sqrt{2} }{2} \\\\sin(45^o)=\dfrac{a}{c} \\\\\dfrac{\sqrt{2} }{2}=\dfrac{a}{6} \\\\a=6*\dfrac{\sqrt{2} }{2}=3\sqrt{2}\\\)

Answer A