Write an equation in slope-intercept form of the line that passes through the given points.

Answer:

Yes

Step-by-step explanation:

Well to figure out if 210879 is divisible by 3 we do,

210879 / 3

= 70 293.

Thus,

210879 is divisible by 3.

Hope this helps :)

Answer: Yes

Explanation: To determine whether 210,879 is divisible by 3, first we need to find the sum of the digits.

Image is provided below.

The divisibility rules tell us that if the sum of the digits is divisible by 3,

then the number is also divisible by 3.

So since 27 is divisible by 3, 210,879 must also divisible by 3.

So our answer is yes, 210,879 is divisible by 3.

To find the volume of the solid obtained by rotating the region under the curve over the interval [4, 7] about the x-axis, we can use the method of cylindrical shells.

The formula for the volume of a solid generated by rotating a curve f(x) about the x-axis, over an interval [a, b], is given by:

V = ∫[a, b] 2πx * f(x) * dx

In this case, the interval is [4, 7], so we need to evaluate the integral:

V = ∫[4, 7] 2πx * f(x) * dx

To find the function f(x), we need the equation of the curve. Unfortunately, you haven't provided the equation of the curve. If you can provide the equation of the curve, I will be able to help you further by calculating the integral and finding the volume.

Please provide the equation of the curve so that I can assist you in finding the volume of the solid.

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The number of possible groups or combination of three men can be formed from 10 is 120.

According to the given question.

Total number of men in a company, n = 10.

Number of men to be selected, r = 3

As we know that, What is a combination in math?

Image result for what is combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Therefore, the number of possible groups or combination of three men can be formed from 10

= \(^{10} C_{3}\)

= 10!/ 3!7!

= 10(9)(8)/3(2)

= 5 × 3 × 8

= 120

The number of possible groups or combination of three men can be formed from 10 is 120.

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To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Answer:

Part 1: 19° C

Part 2: decay

Part 3: 11%

Don't drop out!! You'll hurt yourself if you do that! If you feel trapped/stuck, reach out for help from friends and teachers and parents. Find someone who can help you understand what you're learning and teach you. Study extra if you need to. But don't drop out.

Step-by-step explanation:

You've got the initial temperature down: the constant that the function multiplies is the initial condition/number/temperature/population/&tc. since that constant is 19, the initial temperature is 19° C.

However, this is not an exponential growth function. This is an exponential decay function. There are two ways to surmise this:

As for the percentage at which it is changing… erm, decreasing… that would be 100 times the difference of 1 – r. Here, r is the number in parentheses. First, let's solve for 1 – r. Here, r is 0.89, so 1 – 0.89 = 0.11, and now we just need to multiply by 100. Why?

Percentages are a fraction of 100. For example, 89% is equal to 0.89 and the fraction \(\frac{89}{100}\). Here, we multiply 0.11 to find the percentage of change. So we have 0.11 × 100 = 11%, and our rate of change is 11%. Thanks to breyanamyers5 who indirectly hinted at my mistake here!

I hope this is the explanation you were hoping for! Have a great day, and don't give up!!

Wait a second... this question was 3 months old. Whoops. Oh well.

Sherry needs to invest $2000 in a mutual fund that earns 1% interest a year and $13200 in a mutual fund that earns 4% interest a year.

According to the question,

We have the following information:

Amount to be invested = $15200

Interest earned 1% a year and 4% a year

Total amount interest to be earned at the end of first year = $548

Now, let's take the amount to be invested in 1% interest a year's mutual fund to be $x.

Then, we have the amount to be invested in mutual fund that earns 4% a year:

$(15200-x)

So, we have the following expression by removing percentage sign:

x/100 + (15200-x)4/100 = 548

Taking 100 as the least common factor and using the cross multiplication method:

x+60800-4x = 548*100

-3x = 54800-60800

-3x = -6000

x = 6000/3

x = $2000

Now, the amount invested in second mutual fund:

15200-2000

$13200

Hence, Sherry needs to invest $2000 in a mutual fund that earns 1% interest a year and $13200 in a mutual fund that earns 4% interest a year.

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Answer:

the first one is correct

2) 0.805

3)0.25675

4)234.5

5)190.5

6)1.884666667

7)59.375

Step-by-step explanation:

Answer:

2) 0.805

3)0.25675

4)234.5

5)190.5

6)1.884666667

7)59.375

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

This is a square if you think about it, but it has the abilities of a rectangle and parallelogram. So it is F.

Answer:

You would use an inequality sign because the statement says at least, meaning you have to be above or exactly the age given.

Step-by-step explanation:

You would use an equal sign if it says you must be that exact age, meaning anyone above and under the age of 16 are not allowed to obtain their drivers license.

If the plane is flying at an altitude of 21,000 feet, it is perpendicular to the observer's horizontal line of sight. Thus, I concluded that the given information be assigned to the attachment below.

Given -

( Observer at point O, plane flying at point P

( Plane at 55° angle to horizontal line of sight, altitude of 21,000 feet

The distance ( x ), is represented by the line segment OP, with which we have to determine the length of. Therefore we can conclude the following -

\(Sin( 55 ) = Altitude / Distance,\\Sin( 55 ) = 21,000 / x,\\----------------\\x = \frac{21,000}{Sin( 55 )},\\x = 21,000 / 0.81915204428\\\\x = ( About ) 25636 feet\\\)

As you can see, the distance from the plane to the observer is about 25,636 ft!

Answer:

25,636 feet

Step-by-step explanation:

I took the test on FLVS and got 100%

Answer:

256

Step-by-step explanation:

Emma your face is always so blank, Like Give us an expression! And your nose so flat Like you've been hit with a pan Just like your chest. Sebastion Must be blind if he has a thing for You, I mean look at your flat lookin self you he must be built reta.rded. Maybe that's why his Mama Left him.

The solution to the given inequality is; a > 6

The given inequality is;

a - 2 > 4

Now, to start to solve this, we add 2 to both sides of the inequality using addition property of equality to get;

a - 2 + 2 > 4 + 2

a > 6

Now, the inequality when shown on a line plot is as attached and it shows that the arrow points to the right hand side.

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Carson would have approximately $268111 in his account when Makayla's money has tripled in value.

To solve this problem, we'll need to calculate the amount of money in Carson's account when Makayla's money has tripled in value.

First, let's determine the time it takes for Makayla's money to triple. We'll use the formula for compound interest:

\(A=P(1+\frac{r}{n} )^{nt}\)

Where

A is the final amount

P is the principal amount

r = interest rate

n is the number of times interest is compounded per year

t is the time in years

For Makayla's investment:

P = $80,000

r = 4 7/8% = 0.04875 (convert to decimal form)

n = 365 (compounded daily)

t is the unknown we need to find

We want to solve for t when A = 3 * P (triple the initial amount):

3 * P = \(P(1+\frac{r}{n} )^{nt}\)

3 = \((1+\frac{r}{n} )^{nt}\)

Taking the natural logarithm of both sides:

ln(3) = \(ln((1+\frac{r}{n} )^{nt})\)

ln(3) = (n*t) * ln(1 + r/n)

Solving for t:

t = ln(3) / (n * ln(1 + r/n))

Substituting the given values:

t = ln(3) / (365 * ln(1 + 0.04875/365)

Using a calculator, we find:

t = 22.5 years

Now, we can calculate the amount of money Carson would have in his account after approximately 22.5 years. The continuous compounding formula is:

A = \(Pe^{rt}\)

Where:

A is the final amount

P is the principal amount

r = interest rate

t is the time in years

For Carson's investment:

P = $80,000

r = 5 3/8% = 0.05375 (convert to decimal form)

t = 22.5 years

Using the formula:

\(A = 80000\times e^{0.05374\times 22.5}\)

Using a calculator, we find:

A = $268111.15

Rounding to nearest dollar

= $ 268111

Therefore, Carson would have approximately $268111 in his account when Makayla's money has tripled in value.

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Answer:

m=1/128

Step-by-step explanation:

Answer:

m=128

Step-by-step explanation:

-7/8m=-112

Answer:

boom box second one one my bad just need points my g

Step-by-step explanation:

Answer:

3

decreasing

negative

Step-by-step explanation:

The graph of function g crosses the x-axis at (3,0), so there is a zero at x = 3.

As the values of x increase, the values of g(x) decrease, so function g is decreasing along all intervals, including the interval [-5, 5].

As the values of x approach positive infinity, cube root functions either approach positive infinity or negative infinity. Since this function is decreasing, the values of g(x) approach negative infinity.

Answer:

use formula,

P(x,y)=P'(-y,x)

so.

R(-2,-2)=R'=(2,-2)

S(1,1)=S'(-1,1)

T(-1,-3)=T'(3,-1)

Step-by-step explanation:

plot R,S,T and R',S',T' in the graph

The p-value of the test for the hypothesis that mothers with low socioeconomic status deliver babies with different birth weights is 0.0505.

Based on the information you provided, the first step is to state the null and alternative hypotheses.

The null hypothesis is that the mean birth weight of babies born to low SES mothers is the same as the population mean, while the alternative hypothesis is that there is a significant difference.

Assuming that all the conditions are met, we can use a t-test since the sample size is less than 30 and the population standard deviation is not known.

Using a t-distribution table with 99 degrees of freedom (n-1), we can find that the t-score for a one-tailed test with a significance level of 0.05 is approximately 1.660.

Calculating the t-score for the given sample, we get:

t = (115 - μ) / (s / √n)

Where μ is the population mean, s is the sample standard deviation, and n is the sample size.

Since the null hypothesis assumes that μ = 115, we can substitute the values and get:

t = (115 - 115) / (s / √100) = 0

Therefore, the t-score is 0.

Next, we calculate the p-value using the t-distribution table and the one-tailed test. Since the t-score is 0, the area to the right of the t-score is 0.5. Therefore, the p-value is:

p-value = 0.5 - 0.4495 = 0.0505

Rounding to four decimal places, the p-value is 0.0505.

So, the p-value of their test is 0.0505.

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Answer:

option (D) is the answer

Answer:

\(-4x^{2} + 6x + 4\)

Answer choice D

Step-by-step explanation:

Answer:

1/5 of 55 is 11

Step-by-step explanation:

(1/5) * 55 = 11

Transfer function of the system is:X(s)/Y(s) = 10/(s^2+1.6s+4)We need to find the following:

a) Y(t); b) Percent overshoot; c) Ultimate value of Y(t); d) Maximum value of Y(t) and e) Period of oscillation.

(a) Calculation of Y(t):The transfer function of the system isX(s)/Y(s) = 10/(s^2+1.6s+4)Now, applying the Laplace inverse on both sides,Y(s) = 10/(s^2+1.6s+4) × X(s)Taking the inverse Laplace of Y(s),y(t) = L^-1 {10/(s^2+1.6s+4) × X(s)}Using partial fraction decomposition to find the inverse Laplace of Y(s), we get:y(t) = 1.2508{ 2.22 e^(-0.8t) - 0.22 e^(-3.2t)}Therefore, the value of Y(t) is 1.2508{ 2.22 e^(-0.8t) - 0.22 e^(-3.2t)}.

(b) Calculation of percent overshoot:The transfer function of the system isX(s)/Y(s) = 10/(s^2+1.6s+4)The damping ratio (ζ) can be given asζ = 1/2 √(ζ²-4)ζ = 1/2 √(1.6²-4)ζ = 0.6For a second-order system with a damping ratio of 0.6, the percent overshoot is given as:%OS = e^(-ζπ/√(1-ζ²)) × 100%OS = e^(-0.6π/√(1-0.6²)) × 100OS = 26.12%Hence, the percent overshoot is 26.12%.

(c) Calculation of the ultimate value of Y(t):The transfer function of the system isX(s)/Y(s) = 10/(s^2+1.6s+4)For the ultimate value of Y(t), we take the limit of sY(s) as s tends to 0.The value of Y(s) is given as:Y(s) = 10/(s^2+1.6s+4) × X(s)On simplifying the above equation, we get:sY(s) + 1.6 Y(s) + 4 Y(s) = 10 X(s)Now, taking the limit of sY(s) as s approaches 0,sY(s) = lim s→0 sY(s) = 0Therefore, 1.6 Y(s) + 4 Y(s) = 10 X(s)Taking the limit of Y(s) as s approaches 0,0 = 10 X(0)Y(0) = 2.5Hence, the ultimate value of Y(t) is 2.5.

(d) Calculation of the maximum value of Y(t):The maximum value of Y(t) is given as:Ymax = 2.5 + (1+ζ²)^0.5 e^(-ζπ/√(1-ζ²)) / (ζ√(1-ζ²))The value of ζ is 0.6Hence, substituting the value of ζ in the above equation, we get:Ymax = 2.5 + (1+0.6²)^0.5 e^(-0.6π/√(1-0.6²)) / (0.6√(1-0.6²))Ymax = 3.129

(e) Calculation of the period of oscillation: The period of oscillation is given as:T = 2π / ωnWhere,ωn = √(1-ζ²) / (2ζ)Therefore,ωn = √(1-0.6²) / (2 × 0.6)ωn = 1.302Therefore,T = 2π / ωnT = 4.830sHence, the period of oscillation is 4.830s.

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The count of letter f (any case) in ' if fred is from a part of france, then of course fred's french is good', is 8.

A word, phrase, or sentence in which no letter of the alphabet appears more than once is known as a heterogram (from the prefix hetero-, meaning "different," and the suffix -gram, meaning "written"). The same idea has also been denoted by the phrases isogram and nonpattern word.

Language on Vacation: An Olio of Orthographical Oddities, written by Dmitri Borgmann in 1965, mentions the idea, however he refers to it as an isogram. Borgmann asserts that he "introduced" the term "isogram" in a 1985 essay. Although he uses the term "isogram" in the paper itself, he also offers the name "asogram" to prevent confusion with lines of constant value like contour lines.

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Answer:

I don't clearly understand your question, but if this is on a graph or relating to math simply check the difference in the y intercept. OR see the difference and revers it such as if was mulltiplied by an EXPONENT.

Step-by-step explanation:

Graph:

Check y intercept and the differences in both values.

Regular triangle:

Imagine te steps being taken or revers the original steps.

Answer:

It should be 5x-6y=30

Step-by-step explanation:

none of the above

I think it will be 5x-30

A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

Answer:

Step-by-step explanation:

x      - an angle

x - 150°     - the angle's suplementary angle

Measure of suplementery angles adds to 180°

x + x - 150° = 180°

2x = 180° + 150°

2x = 330°

 x = 330°÷2

 x = 165°

x-150° = 165° = 150° = 15°

Answer:6.7

Step-by-step explanation: Just divide 80 by 12 you get 6.6 so round up