What is the domain of the function y= √x+6-7?

a. x2-7
b. x2-6
c. x26
d. x27

Answer:

diameter is your answer

Recall that to evaluate a function at a given value, we substitute the variable by the given value.

Therefore:

For x=2 we get:

For x=1 we get:

For x=0 we get:

Therefore the y-intercept has coordinates (0,-2).

For x= -1 we get:

Therefore the x-intercept has coordinates (-1,0).

For x=-2 we get:

For x=50 we get:

Therefore (50,-102) is a solution to the given equation.

Answer:

Since at x=50, y=-102 we get that the point (50,-102) is a solution t the given equation.

The x-intercept is (-1,0).

The y-intercept is (0,-2).

Answer:

6.25 pages each day

Step-by-step explanation:

Answer:

a) the average of change for the number of bacteria from 0 to 6.8 hours is

\(the \: average \: of \: change \: = \frac{2292 - 1000}{6.8 - 0} = 190 \: bacteria \: per \: hour\)

b)

\(the \: average \: rate\: of \: change \: from \: 10.2 \: to \: 13.6 \: hours \: = \frac{5080 - 3856}{13.6 - 10.2} = 360\)

The solution of the sum of the numbers will be 5.

To make the addition easier, we can first simplify the fractions by finding a common denominator. The smallest common multiple of 2, 3, and 4 is 12. We can rewrite the fractions with this denominator:

7/4 = (7/4) x (3/3) = 21/12

1/2 = (1/2) x (6/6) = 6/12

5/3 = (5/3) x (4/4) = 20/12

1/3 = (1/3) x (4/4) = 4/12

1/4 = (1/4) x (3/3) = 3/12

1/2 = (1/2) x (6/6) = 6/12

Now we can add the fractions together:

21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12

Combining like terms, we get:

60/12 = 5

So the sum of the original fractions is equal to 5.

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Answer:

5x

Step-by-step explanation:

First, calculate the product.
You gave 7x-3×4x+5x×2​
3x4 is 12 and 5x2 is 10.
Therefore, we now have 7x-12x+10x

Now collect like terms.
7x-12x+10x which will now be (7-12+10)x will give you 5x. 5x is your answer.

Answer:

C. The typical value is greater in set . The spread is greater in set A.

Step-by-step explanation:

Set A data is all over the place meanwhile set b data is clumped in one spot. This means Set A data has its data more spread. Then the value is greater in set B since the arrow is on 8.5 while in set A it is on 4.

The equation of the line passing through the point (2, -6) and parallel to the line 5x - 6y = 3 can be written in standard form as 5x - 6y = c, where c is a constant.

To find the equation of a line parallel to another line, we need to consider that parallel lines have the same slope. The given line has the equation 5x - 6y = 3. We can rewrite this equation in slope-intercept form as y = (5/6)x - (1/2). The slope of this line is 5/6.

Since the desired line is parallel to the given line, it will also have a slope of 5/6. We can use the point-slope form of a line to find the equation. The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Using the given point (2, -6), we substitute x1 = 2 and y1 = -6 into the point-slope form. We get y - (-6) = (5/6)(x - 2), which simplifies to y + 6 = (5/6)(x - 2).

To convert the equation to standard form, we eliminate fractions by multiplying through by 6, resulting in 6y + 36 = 5x - 10. Rearranging the terms, we obtain 5x - 6y = 46.

Therefore, the equation of the line passing through (2, -6) and parallel to 5x - 6y = 3 in standard form is 5x - 6y = 46.

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Neither of the segments is the perpendicular bisector of the other.

To determine which segment is the perpendicular bisector of the other, we need to find the equations of the lines containing each segment and then check if one of the lines is perpendicular to the other and passes through the midpoint of the other segment.

Let's start by finding the midpoint of segment AT. The coordinates of A and T are not given, but we don't actually need them to find the midpoint.

So, the midpoint M of segment AT is:

M = ((AT_x1 + AT_x2)/2, (AT_y1 + AT_y2)/2)

We don't know the actual values of AT_x1, AT_x2, AT_y1, and AT_y2, but we can find their expressions in terms of x using the segment lengths and the coordinates of the endpoints. We have:

AT_x2 - AT_x1 = BT_x2 - AT_x1 = (x + 5) - (2x + 3) = -x + 2

AT_y2 - AT_y1 = BT_y2 - AT_y1 = (BT - AT) = (x + 5) - (2x + 3) = x + 2

Therefore,

AT_x1 = AT_x2 + x - 2

AT_y1 = AT_y2 - x - 2

Now, we can substitute x=2 and the expressions for AT_x1 and AT_y1 into the midpoint formula to find the coordinates of M:

M = ((AT_x1 + AT_x2)/2, (AT_y1 + AT_y2)/2) = ((AT_x2 + 2 - AT_x2)/2, (AT_y2 - 2 - AT_y2)/2) = (1, -1)

So, the midpoint of segment AT is M(1, -1).

Next, let's find the equations of the lines containing segments AT and DT. We can use the point-slope form of the equation of a line, which states that the equation of a line passing through a point (x1, y1) with slope m is y - y1 = m(x - x1).

For segment AT, we have:

m_AT = (AT_y2 - AT_y1)/(AT_x2 - AT_x1) = (x + 2)/(x - 1)

Let's substitute x=2 to find the slope of the line containing segment AT:

m_AT = (2 + 2)/(2 - 1) = 4

So, the equation of the line containing segment AT is:

y - AT_y1 = m_AT(x - AT_x1)

y - (22 + 3) = 4(x - 22 - 1)

y - 7 = 4(x - 5)

y = 4x - 13

For segment DT, we have:

m_DT = tan(m∠ATD) = tan(41x + 8)

Let's substitute x=2 and simplify:

m_DT = tan(82 + 8) = tan(90) = undefined

This means that the line containing segment DT is vertical and its equation is x = DT_x1 = 4*2 + 1 = 9.

Now, we need to check if one of these lines is perpendicular to the other and passes through the midpoint of the other segment.

First, let's check if the line containing segment AT is perpendicular to the line containing segment DT.  We have:

m_AT * m_DT = 4 * undefined = undefined

Since undefined is not equal to -1, the lines are not perpendicular, and we can rule out the possibility that the line containing segment AT is the perpendicular bisector of segment DT.

Next, let's check if the line containing segment DT is perpendicular to the line containing segment AT. We have:

m_AT = 4

So, the slope of the line perpendicular to the line containing segment AT is -1/4. We can use the point-slope form of the equation of a line again:

y - M_y = -1/4(x - M_x)

y - (-1) = -1/4(x - 1)

y + 1 = -1/4x + 1/4

y = -1/4x + 3/4

Now, we need to check if this line passes through point D, an endpoint of segment DT. We can substitute the coordinates of D into the equation of the line and check if the equation holds true:

DT_y1 = 4*2 + 1 = 9

DT_x1 = 9

9 = -1/4*9 + 3/4

9 = -9/4 + 3/4

9 = -6/4

This is not true, so the line containing segment DT does not pass through point D. Therefore, we can conclude that the line containing segment DT is not the perpendicular bisector of segment AT.

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Answer:

4x+3y-23=0

Step-by-step explanation:

4x+3y-23=23-23

4x+3y-23=0

Answer:

Step-by-step explanation:9√5 and 6.5π

The correct option of the given statement "The present value of $5,325 to be received in one period at a rate of 6.5%" is d. 5,000.

it can be found using the formula:

PV = FV/(1 + r),

where

PV is the present value,

FV is the future value,

and r is the interest rate expressed as a decimal.

Here, FV = $5,325 and r = 0.065 (6.5% expressed as a decimal).

Substituting these values into the formula gives:

PV = $5,325/(1 + 0.065)PV

    = $5,325/1.065PV

     ≈ $5,000

Therefore, the present value of $5,325 to be received in one period if the rate is 6.5% is approximately $5,000.

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f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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the awnser would be 24cm^2

We can be 95% confident that the true population mean TV viewing time is between 3.812 and 4.388 hours.

To calculate the 95% confidence interval, we use the formula:

CI = x' ± Zα/2 * (σ/√n)

Where:

x' = sample mean

Zα/2 = the Z-score associated with the desired confidence level (in this case, 95%, so Zα/2 = 1.96)

σ = population standard deviation

n = sample size

Substituting the given values, we get:

CI = 4.1 ± 1.96 * (1.3/√78)

Calculating the standard error (SE) first:

SE = σ/√n

SE = 1.3/√78

SE ≈ 0.147

Then we substitute the SE value in the CI formula:

CI = 4.1 ± 1.96 * 0.147

CI = 4.1 ± 0.288

CI = (3.812, 4.388)

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Answer:

okay i will gladly

Simple linear regression results are indeed sensitive to mild departures from the underlying assumptions.

The assumptions underlying simple linear regression include:

Linearity:

The relationship between the independent variable (x) and the dependent variable (y) is linear.

Independence: The observations are independent of each other.

Normality:

The residuals (the difference between the observed values of y and the predicted values of y) are normally distributed.

Equal variance (homoscedasticity):

The residuals have equal variance for all values of x.

If any of these assumptions are violated, it can lead to biased and inefficient estimates of the regression coefficients, inaccurate standard errors, and incorrect statistical inference.

Even mild departures from these assumptions can affect the accuracy of the results.

It is important to check for these assumptions and, if necessary, use alternative methods such as robust regression or nonparametric regression to obtain more accurate results.

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Answer:

86% or a difference of 743/3

Step-by-step explanation:

The equation for a volume of a sphere is 4/3pi r^3 where r is the radius. Plugging in, we get 288pi for a radius of 6, and 121/3pi for a radius of 5.5. The ratio would be 288:121/3 without pi. Subtracting these two values we get 743/3 which is in simplest terms. As for the decrease in percentage, calculating the percentage of decrease would be the original value subtracted by the new value divided by the original value. This means 288 -121/3 is 743/3, and this divided by 288 is approximately 0.86. This means the percentage decrease is approximately 86% rounded to the nearest hundredths.

Answer:

15%=0.15

1÷7=0.14

1÷5=0.2

1÷4=0.25

1÷3=0.33

Step-by-step explanation:

1/7

Answer:

1/7

Step-by-step explanation:

1/7 × 100 = 14.28%

1/5 × 100 = 20%

1/4 × 100 = 25%

1/3 × 100 = 33.33%

→ We can that 14.28% is the closest to 15% so 1/7 is the answer

I Need help on the same thing

Correct response:

The given parameters are;

ΔABC is an equilateral triangle;

DR = 4 inches

DT = 8 inches

Required:

The height of ΔABC

Solution:

Let θ represent the angle formed by the line from A to D towards the 4 inches side, we have;

4·(sin(60° - θ) = 8·sin(θ)

4·(sin60°·cos(θ) - cos(60°)·sin(θ)) = 8·sin(θ)

Dividing by sin(θ) and multiplying by 2 gives;

4·(√3·cot(θ) - 1) = 8 × 2 = 16

√3·cot(θ) - 1 = 16 ÷ 4 = 4

\(cot(\theta) = \dfrac{4 + 1}{\sqrt{3} } = \dfrac{5}{\sqrt{3} } \)

\(tan(\theta) = \mathbf{ \dfrac{\sqrt{3} }{5} }\)

\(tan(\theta) = \dfrac{DR}{AR} \)

Therefore;

\(AR = \mathbf{\dfrac{DR}{tan(\theta)} }\)

Which gives;

\(AR = \dfrac{4}{\dfrac{\sqrt{3} }{5} } = 4 \times \dfrac{5}{\sqrt{3} } = \mathbf{ \dfrac{20}{\sqrt{3} } }\)

\(RB = \mathbf{\dfrac{4}{tan(60^{\circ})}} = \dfrac{4}{\sqrt{3} } \)

AB = AR + RB by angle addition property

Height = AB × sin(∠B) = (AR + RB) × sin(∠B)

Therefore;

\(Height \ of \ \Delta ABC, \ h = \left(\dfrac{20}{\sqrt{3} } + \dfrac{4}{\sqrt{3} } \right) \times \dfrac{\sqrt{3} }{2} =\dfrac{24}{\sqrt{3} } \times \dfrac{\sqrt{3} }{2} = \mathbf{ 12}\)

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Answer: Sí papi

Step-by-step explanation:

It will take 2 seconds a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s.

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

Given:

A constant acceleration is of 50 meter per second.

A jet to accelerate from 200 m/s to 300 m/s.

Acceleration is 100 meters per 2 seconds.

That means,

it will take = (300 - 200)/ 50 m/s

                = 2 seconds.

Therefore, it will take 2 seconds.

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The mean of T is -10 and the standard deviation of T is √425 when X1 and X2 are independent.

To find the mean of T, we can use the properties of expected values. Since T = 11X1 - 2X2, the mean of T can be calculated as follows: E(T) = E(11X1) - E(2X2) = 11E(X1) - 2E(X2) = 11(10) - 2(20) = -10. To find the standard deviation of T, we need to consider the variances and covariance of X1 and X2. Since X1 and X2 are independent, the covariance between them is zero. Therefore, Var(T) = Var(11X1) + Var(-2X2) = 11^2Var(X1) + (-2)^2Var(X2) = 121(2^2) + 4(3^2) = 484 + 36 = 520. Thus, the standard deviation of T is √520, which simplifies to approximately √425. When X1 and X2 have a correlation of -0.76, the mean and standard deviation of T remain the same as in the case of independent variables. To calculate the probability P(T > 30) when X1 and X2 are independent, normally distributed variables, we need to convert T into a standard normal distribution. We can do this by subtracting the mean of T from 30 and dividing by the standard deviation of T. This gives us (30 - (-10))/√425, which simplifies to approximately 6.16.  We can then look up the corresponding probability from the standard normal distribution table or use statistical software to find P(T > 30). The probability will be the area under the standard normal curve to the right of 6.16.

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Answer:

2.195%

Step-by-step explanation:

Assuming that both planets are a sphere, we have to:

26590 * 28% = 7445.2

7445.2 miles would be the diameter of the moon, now to calculate the volume, we know that the radius is half the diameter, so:

r2 = d2 / 2 = 7445.2 / 2 = 3722.6

and the radius of the planet would be:

r1 = d1 / 2 = 26590/2 = 13295

now the volume of the planet we know is equal to:

v1 = 4/3 * pi * r1 ^ 3

and the volume of the moon would be:

v2 = 4/3 * pi * r2 ^ 3

We want to calculate the percentage by volume, therefore:

v2 / v1 = 4/3 * pi * r2 ^ 3 / 4/3 * pi * r1 ^ 3

v2 / v1 = 3722.6 ^ 3/13295 ^ 3

v2 / v1 = 0.021952

that is, the volume of the moon represents 2.195%

Answer:

Step-by-step explanation:

Rational number between 9.5 and 9.7:

Irrational number between 9.5 and 9.7

Let's find 9.5^2, 9.6^2 and 9.7^2:

One of the numbers could be √91, it is not a perfect square.

Approximate value:

Answer:

Rational.

Step-by-step explanation:

Natural numbers are numbers 1 through infinite.

Whole numbers are numbers 0 through infinite.

Integers are negative numbers (No decimals nor fractions)

Rational numbers are fraction/decimal numbers (can be negative).

Irrational numbers are squared numbers.

Real numbers includes all of the above mentioned.

Hope this helps.

Answer:

A. rational numbers

Step-by-step explanation:

-1/4 belongs to rational number

Answer:

the simplified form of 3/135 is 1/45

Step-by-step explanation:

What i did was 135 divided by 3 which i got 45 then turned it into a fraction which would be 1/45

Answer:

0.28 meters per second.

Step-by-step explanation:

We have that the speed formula is as follows:

v = d / t

In this case they tell us that the distance is 2 km the equivalent of 2000 meters and the time is 2 hours the equivalent of 7200 seconds, we replace and we are left with:

v = 2000/7200 = 0.28

Therefore it ran 0.28 meters per second.

The answer of this question is √17 units