How do you find the slope of two points x1 y1 and x2 y2?

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco

Answer:

true

Step-by-step explanation:

The population size after four days is 121.

Given that,

a population of protozoa with a constant relative growth rate of 0.8603 per member per day

let P be the population size and let t be the time interval then the given system modeled by the differential equation

\(\frac{dP}{dt}\) = 0.8603

by solving the separable equation and expifying both sides we get,

P = A \(e^{0.8603t}\)

From the condition that on day zero the population consist of four members,

i.e. P(0) = 4, A = 4

Therefore population size after four days is

P(4) = 4\(e^{4(0.8603)}\)

      = 4 \(e^{3.441}\)  

      = 4 × 30.295

P(4) =  121.2

nearest whole number is 121

i.e P(4) = 121

Hence the population size after four days is 121.

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Step-by-step explanation:

"to solve for h" just means to transform the equation, so that instead of V we get h alone on one side of the equation.

V = pi×r²×h

h = V / (pi×r²)

that's it.

for the slope question :

the slope is the factor of x (2/3 and 3/2) and indicates how steep the line is. and it is expressed as y/x ratio defining how many units y changes, when x changes a certain amount of units.

the bigger the number, the steeper the line.

so, the 4th answer option is correct. g(x) is steeper than f(x).

the lines are not parallel, because they do not have the same slope.

they are not perpendicular, because perpendicular slopes turn the y/x ratio upside down AND flip the sign.

e.g. the perpendicular slope of 2/3 would be -3/2.

The Z score that is equivalent to the raw score 92.5 is B. -1.25.

A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:

Z = (92.5 - 100) / 15

Z = -7.5 / 15

Z = -0.5

Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.

The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.

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Answer:

x = 4

Step-by-step explanation:

2x + 9 = 17

2x = 17 - 9

2x = 8

x = 8/2

x = 4

.

.

Hope it helps

Answer:

\(2x + 9 = 17 \\ 2x = 17 - 9 \\ 2x = 8 \\ x = \frac{8}{2} \\ \boxed{x = 4}\)

Yes, the sample size would be large enough if the population is school-aged children and young adults in the United States as this is a simple random sampling.

Simple random sampling is used for randomly selecting the sample size for research. No member in the population has a higher chance in comparison to others for selection in sampling. Every individual has an equal chance to be a part of the sample for the study. This is a type of probability sampling method.

The probability sampling method states that every individual has a fair and equal chance to be selected as a research sample. It includes simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Here the researchers have picked around 150 students and young adults which is an appropriate amount of simple random sample for the study.

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Answer:

5/2

Step-by-step explanation:

Rise = 5

Run    2

Now, with that,  our y intercept is -6 because the line hits the y axis at -6 units. Then, we can setup our own equation for y=

and that is y=5/2 x -6

Then I have attached a graph below to certify my answer.

Answer:

jjjjzkzkskdndjdididndjid

Answer:

6x+ 21

Step-by-step explanation:

Find the area of the whole thing

find the are of the small shape

minus this from the whole thing

whole thing = (x+5)(x+5)   = x^2+ 2x+ 25

small = (x-2)(x-2) = x^2 -4x +4

(x^2+ 2x+ 25)-(x^2 -4x +4)= 6x+ 21

Answer:

D

Step-by-step explanation:

Focus on the x-axis only, not the y-axis.

0.4 + 0.4 = 0.8

0.8 + 0.4 + 1.2

etc.

Hope this helps!

Answer:

Student A

Step-by-step explanation:

Student a median: 33

Student b median: 32

student a

the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution

Answer:

$75.14 is the correct answer

Answer:

ert4tt45poti3905835049098534085983344533453

Step-by-step explanation:5

34534534353433434

5

3

5

3

45

3

543

354

3

53

4

53

5

34

5

44543

353

1) The complement is that fewer than 16 of the cell phone batteries are defective. 2) The complement is that less than 16 cell phone batteries are defective. 3) The complement is that at most 16 cell phone batteries are defective. 4) The complement is that at least 16 cell phone batteries are defective.

From samples of 100 phone batteries, Exactly 16 of the cell phone batteries are defective. The complement is: The number of cell phone batteries which are defective is not 16. At least 16 of the cell phone batteries are defective. The complement is: 15 or fewer cell phone batteries are defective. More than 16 of the cell phone batteries are defective. The complement is: 16 or fewer cell phone batteries are defective. Fewer than 16 of the cell phone batteries are defective. The complement is: 16 or more cell phone batteries are defective.

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Answer:

19/15 is the answer

So, you need to deposit $628.86 monthly to accumulate $100,000 in 15 years with an APR of 7%.

To create a college fund for your child, you must determine the amount you need to deposit every month. The fund that offers an APR of 7% will help you accumulate the amount in the future. Here are the steps to find out how much you need to deposit monthly.
Step 1: Determine the total amount required for college funds.
The first step is to determine the total amount you need to pay for college funds. Suppose you want to create a college fund for your child that requires $100,000 in 15 years. Use a present value calculator or online present value calculator to determine the future value of the college fund.
Step 2: Determine the interest rate
The second step is to determine the interest rate you will receive on your savings. Suppose the fund offers an APR of 7%.
Step 3: Determine the number of years
The third step is to determine the number of years you have until you need the money. Suppose you have 15 years.
Step 4: Use the annuity formula
The fourth step is to use the annuity formula to determine how much you need to deposit every month. The formula is:
PMT = FV × i / ((1 + i)n - 1)
Where PMT is the monthly payment, FV is the future value, i is the interest rate, and n is the number of payments.
Using the given values:
PMT = 100,000 × 0.07 / ((1 + 0.07)^15 - 1)
PMT = 100,000 × 0.07 / 11.283
PMT = $628.86

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Answer:

#1: s'(t)= -32t+20

#2: -32t+20=0

t=2/3

#3: s(2/3)=-16(2/3)^2+20(2/3)+3=83/9

Step-by-step explanation:

first find the derivative of the original funtion #1

set the equation equal to 0 because when s't=0 is the maximum height

put the t at highest point into the funtion to solve for distance

Answer:

1/10

Step-by-step explanation:

your equation is 4/5 divided by 8/1.

Lets solve that problem with the acronym KCF, or

Keep

Change

Flip.

K: "keep" the first fraction, or the one you are multiplying with, so 4/5 stays the same.

C: "change" the division sign to a multiplication sign, so 4/5x8/1

F: "flip" the second fraction, so 8/1 becomes 1/8.

now our equation is 4/5x1/8. If we solve that, we get 4/40, which reduced is 1/10.

Answer:

2nd and 5th answer options

Step-by-step explanation:

Multiply the vertices of polygon ABCD by One-half.

Reflect the intermediate image.

Answer: 18

Step-by-step explanation:

Answer:

(0, 15)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² - 8x + 15

Step 2: Find y-intercept

Answer: 0.43ft²

Step-by-step explanation:

You didn't really specify part A but In assuming that the question you posted is part A. Anyways in this case, area will be calculated by multiplying the length by the width.

Since the piece of wood has a length that is 2.45 feet and width that is 2.097 inches, then the area will be:

= 2.45 × 0.17475

= 0.4281375 ft²

= 0.43ft² to nearest hundredths

Note 1 foot = 12 inches

Therefore, 2.097 inches = 2.097/12 = 0.17475 feet

The cosine of the angle of intersection is approximately 0.965.

The point of intersection between the curves r1(t)=⟨t,3−t,9 t2⟩ and r2(s)=⟨1−s,s 2,s2⟩ can be found by setting their respective components equal to each other and solving for the values of t and s. This gives us the following system of equations:
t = 1 - s
3 - t = s^2
9t^2 = s^2

Solving for t in the first equation and substituting into the second equation gives us:
3 - (1 - s) = s^2
s^2 - s - 2 = 0

Using the quadratic formula, we find that s = 2 or s = -1. Substituting these values back into the first equation gives us t = -1 or t = 2.

The point of intersection is therefore (x,y,z) = (-1,2,9) or (2,1,4).
To find the angle of intersection, we can use the dot product formula:
cos(θ) = (r1(t) · r2(s)) / (|r1(t)| |r2(s)|)

Substituting in the values of t and s from the point of intersection and simplifying gives us:
cos(θ) = (-1)(1-2) + (2)(2) + (9)(4) / (√((-1)^2 + 2^2 + 9^2) √((1-2)^2 + 2^2 + 4^2))
cos(θ) = 41 / (√86 √21)
cos(θ) = 41 / √1806

Therefore, the cosine of the angle of intersection is approximately 0.965.

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The equation for the plane through P₀ (-1, -7, 2) perpendicular to the following line. x = -1+t , y= -7-5t , z= -2t is x - 5y - 2z = 30

The plane is passing through point P₀(-1, -7, 2)

And the parametric equation of the line is:

x = -1+t , y= -7-5t , z= -2t

L: (-1, -7, -2) + t(1, -5, -2)

The required plane passes through P₀ and perpendicular to line L.

The direction vector of L is V = <1, -5, -2>.

The equation of a plane with normal vector <1, -5, -2> passing through a given point P(x₁, y₁, z₁) is

1(x - x₁) - 5(y - y₁) - 2(z - z₁) = 0

The equation of plane P passing through point P₀ (-1, -7, 2) is:

1(x - (-1)) - 5(y - (-7)) - 2(z - 2) = 0

(x + 1) - 5(y + 7) - 2(z - 2) = 0

x - 5y-2z + 1 - 35 + 4 = 0

x - 5y - 2z = 30 is the required equation of the plane

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The complete question is:

Find the equation for the plane through P₀ (-1, -7, 2) perpendicular to the following line. x = -1+t , y= -7-5t , z= -2t

Answer:

120-90

=30

the change in stock price is $30 per share

Answer:

11 in = 33 in.

Step-by-step explanation:

6 in. = 18 in.

the second triangle is 3 times bigger than the smaller one.

The velocity of the book after 5 seconds is -15 m/s (falling), the acceleration of the book at any time is -9.8 m/s², and the velocity of the book when it hits the water is approximately -30.68 m/s (negative value).

a. To find the velocity of the book after 5 seconds, we need to calculate the derivative of the height function \(\(h(t)\)\) with respect to time \((\(t\)).\) The derivative of \(\(h(t)\)\) gives us the rate of change of height with respect to time, which represents the velocity of the book.

Taking the derivative of \(\(h(t) = -4.9t^2 + 34t + 118\)\) with respect to \(\(t\),\) we get:

\(\(v(t) = \frac{dh(t)}{dt} = \frac{d}{dt}(-4.9t^2 + 34t + 118)\).\)

Differentiating each term separately, we have:

\(\(v(t) = -9.8t + 34\).\)

Now, we can substitute \(\(t = 5\)\) into the velocity equation to find the velocity of the book after 5 seconds:

\(\(v(5) = -9.8(5) + 34 = -49 + 34 = -15\) m/s.\)

Since the velocity after 5 seconds is -15 m/s (negative value), the book is falling at this point.

b. The acceleration of the book at any time \(\(t\)\) can be found by taking the derivative of the velocity function \(\(v(t)\)\) with respect to \(\(t\).\) Differentiating \(\(v(t) = -9.8t + 34\)\) with respect to \(\(t\),\) we get:

\(\(a(t) = \frac{dv(t)}{dt} = \frac{d}{dt}(-9.8t + 34)\).\)

The derivative of a constant term (34) with respect to \(\(t\)\) is zero, and the derivative of \(\(-9.8t\)\) with respect to \(\(t\) is \(-9.8\).\)

Therefore, the acceleration of the book at any time \(\(t\) is \(a(t) = -9.8\)\) m/s².

c. The velocity of the book when it hits the surface of the water can be found by setting the height function \(\(h(t)\)\) equal to zero and solving for \(\(t\).\) Since the book hits the water, the height is zero.

Setting \(\(h(t) = -4.9t^2 + 34t + 118\)\) equal to zero, we have:

\(\(-4.9t^2 + 34t + 118 = 0\).\)

Solving this quadratic equation, we can find the values of \(\(t\)\) when the height is zero. The two solutions represent the times when the book hits the water.

Using the quadratic formula, we get:

\(\(t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\),where \(a = -4.9\), \(b = 34\), and \(c = 118\).\)

Solving the equation, we find two values for \(\(t\): \(t_1 \approx 6.6\)\) seconds and \(\(t_2 \approx 16.4\)\) seconds.

Since we are interested in the time when the book hits the water, we take the positive value \(\(t = t_1 \approx 6.6\)\) seconds.

To find the velocity of the book at \(\(t = 6.6\)\) seconds, we substitute this value into the velocity equation:

\(\(v(6.6) = -9.8(6.6) + 34 \approx -64.68 + 34 \approx -30.68\)\) m/s.

Therefore, the velocity of the book when it hits the surface of the water is approximately -30.68 m/s (negative value).

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Answer:

3r(1 + 2r)

Step-by-step explanation:

3r + 6r^2

take common

3r(1 + 2r)

Answer:

3r(1+2r2)

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

given x varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

to find k use the condition x = 14 when y = 7

14 = 7k ( divide both sides by 7 )

2 = k

x = 2y ← linear equation

when y = 8 , then

x = 2 × 8 = 16

As long as the prevalence of diabetes is the same in both communities, the PPV of Test 1 would not change. The answer is B. Not change.

If Test 1 was administered to community Y, whose diabetes prevalence is equal to the diabetes prevalence in community X, then the PPV would not change. This is because the PPV is dependent on the prevalence of the disease in the population being tested, not on the population itself. Therefore, as long as the prevalence of diabetes is the same in both communities, the PPV of Test 1 would not change. The answer is B. Not change.

If Test 1 was administered to community Y, whose diabetes prevalence is equal to the diabetes prevalence in community X, then the Positive Predictive Value (PPV) would B. Not change. This is because the PPV is influenced by the prevalence of the condition in the population being tested, and since the prevalence is equal in both communities, the PPV would remain the same.

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Given a raw probability of admission to a graduate program at Ivy League colleges of 0.14 and 12,284 independent student applicants, approximately 1,719.76 students, give or take, will be accepted.

Ivy League colleges are renowned for their highly competitive admission processes, particularly for graduate school programs. The raw probability of admission to these programs is approximately 0.14, which means that only a small fraction of applicants are accepted. To estimate the number of students who will be accepted out of the 12,284 applicants, we can multiply the probability by the total number of applicants. Therefore, 0.14 multiplied by 12,284 equals approximately 1,719.76. However, since we are dealing with a discrete number of students, it is important to note that the actual number of accepted students may vary slightly. Therefore, the estimate of 1,719.76 students should be interpreted as an approximation. In conclusion, approximately 1,719.76 students, give or take, are expected to be accepted into the graduate program based on the provided information.

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Answer:

y+4=-2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-4)

y+4=-2(x-4)