Given two points write the equation of the line in slope-intercept form.

(3,-5) and (2,-1)

Question 3 options:

y=4x+7


y=3x-5


y=-4x+7


y=2x-1
will give a brainliest

Answer:

1-9, 1929

Step-by-step explanation:

You do the arithmetic and then study the us government postal codes and then you do kid behavior with my names. So, you get 1929 basically, in a nutshell, forever incessantly. thank yopu  

It is not possible for the population to be 1207 people using this formula.

Part 1: To calculate the slope of the line, we need to find the change in population over the change in years. From the graph, we can see that the population changes by 1000 people over a period of 10 years. Therefore, the slope of the line is:

slope = (change in population) / (change in years)

         = 1000 / 10   =   100 people per year

So the slope of the line is 100 people per year.

To find the initial value of the line, we need to find the population when the year is 0. From the graph, we can see that the population in the year 1980 is about 4000 people. Therefore, the initial value of the line is 4000 people.

Part 2: To find a formula for the population of the military base, P, in terms of the number of years, n since 1980, we can use the point-slope form of the equation of a line: P - 4000 = 100n

Simplifying this equation, we get: P = 100n + 4000

To predict the population of the military base in 1993, we need to find the value of P when n = 13 (since 1993 is 13 years after 1980). Substituting n = 13 into the formula, we get: P = 100(13) + 4000 = 5300

Therefore, the population of the military base in 1993 is predicted to be 5300 people.

To predict the year in which the population is expected to be 1207 people, we can set the formula equal to 1207 and solve for n:

1207 = 100n + 4000

Subtracting 4000 from both sides, we get: 100n = -2793

Dividing both sides by 100, we get: n = -27.93

Since n represents the number of years since 1980, we cannot have a negative value for n. Therefore, it is not possible for the population to be 1207 people using this formula.

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Answer:

The answer is the CD was for 3 years.

Step-by-step explanation:

First, write the equation.

I=Prt

Next, substitute the given values.

$198=$1,200×5.5%×t

Next, write the percent as a decimal.

$198=$1,200×0.055×t

Next, simplify.

$198=$66×t

Then, solve for t.

3=t

Ivy will receive $300 in interest at the end of one year.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the interest Ivy will receive at the end of one year, we need to multiply the amount she invested by the interest rate:

Interest = Principal x Rate

Here, the principal is $150,000 and the rate is 0.2% or 0.002 (as a decimal):

Interest = $150,000 x 0.002

Interest = $300

Thus,

Ivy will receive $300 in interest at the end of one year.

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To perform the calculation using the correct order of operations, we need to apply the operations in the following order: parentheses, then multiplication/division from left to right, and finally addition/subtraction from left to right. The given expression is 4.01/0.25 - (12.46 - 0.3 + 27.62). By following the correct order of operations, we can find the result.

Let's break down the given expression and apply the order of operations step by step:

First, we evaluate the expression inside the parentheses: 12.46 - 0.3 + 27.62 = 12.16 + 27.62 = 39.78.

Next, we perform the division: 4.01/0.25 = 16.04.

Finally, we subtract the result from step 2 from the result of step 1: 16.04 - 39.78 = -23.74.

Therefore, the final result of the given expression, following the correct order of operations, is -23.74.

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Box B has the smaller range of masses, with a range of 49 grams, compared to Box A's range of 97,649 grams.

The question asks which of the boxes has the smaller range of masses and what is the value of this range in grams (g).
To find the range, we need to subtract the smallest value from the largest value in each box.
In Box A, the smallest value is 4 and the largest value is 97653. So, the range in Box A is 97653 - 4 = 97649 g.
In Box B, the smallest value is 2 and the largest value is 8762. However, we are given that key 35 represents a mass of 53 g and key 51 represents a mass of 51 g. So, the actual largest value in Box B is 51. Therefore, the range in Box B is 51 - 2 = 49 g.
Comparing the ranges, we can see that the range in Box B (49 g) is smaller than the range in Box A (97649 g).

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Answer:

12 onces of yellow paint should be use

Step-by-step explanation:

3:5

= 3 x 4 =12    and   = 5 x 2 = 20

Answer:

12:20

Step-by-step explanation:

12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20

The  rate of change of Wayne's hours of sleep with respect to each day is  5  hours per day.

The rate of change of Wayne's hours of sleep with respect to each day is calculated as follows;

Mathematically, the formula is given as;

rate of change of sleep = change in sleep / change in time of sleep

The change in the sleep pattern = 30 - 15 = 15 hours

The change in the time of sleep = 6 - 3 = 3 days

The  rate of change of Wayne's hours of sleep with respect to each day is calculated as

rate of change of sleep = ( 15 hours ) / ( 3 days )

rate of change of sleep = 5  hours per day

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Answer:

A

Step-by-step explanation:

The solution to the equation √x - 3 = 4 is x = 49. There are no extraneous solutions.

To solve the equation √x - 3 = 4, we can follow these steps:

1. Add 3 to both sides of the equation to isolate the square root term:

  √x - 3 + 3 = 4 + 3

  √x = 7

2. Square both sides of the equation to eliminate the square root:

  (√x)^2 = 7^2

  x = 49

So, the solution to the equation is x = 49.

To check for extraneous solutions, we need to substitute the obtained solution back into the original equation and verify if it satisfies the equation.

√(49) - 3 = 4

7 - 3 = 4

4 = 4

Since the equation is true when x = 49, there are no extraneous solutions.

Therefore, the solution to the equation √x - 3 = 4 is x = 49.

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Answer:

Jaha meine circle ki hu woh hai answer

Answer:

7.5

Step-by-step explanation:

750/100=7.5

Answer:

7.5 meters

Step-by-step explanation:

If 100cm=1m

Then 750cm= 750÷100

Therefore 750cm to meters= 7.5m

There are n different values that the remainder r can take on when \(n^2\) is divided by n 4.

We can use the Remainder Theorem to solve this problem. The Remainder Theorem states that when a polynomial f(x) is divided by (x-a), the remainder is f(a).

Using this theorem, we can see that \(n^2\) divided by n 4 leaves a remainder of \(n^2 - kn 4\), where k is some integer. We want to find how many different values r can take on, which is the same as finding how many different values \($n^2 - kn 4$\) can take on.

Let's rewrite \(n^2 - kn 4 as n(n - k 4)\). This expression tells us that n and n - k 4 have the same remainder when divided by n 4. Therefore, n - k 4 can only take on n different values, namely \(0, n, 2n, \ldots, (n-1)n.\)

For each of these n values, we can find a corresponding value of k that satisfies\($n^2 - kn 4 \equiv r \pmod{n 4}$\), namely \(k = (n^2 - r)/(n 4).\) Therefore, there are exactly n different values that r can take on.

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Answer:

Step-by-step explanation:

-5 and 5 make

if you add them you will get 0

-5+5

=0

therefore

Answer:

150

Step-by-step explanation:

maybe it could be like this

0.40x = 240

we could get x = 600

then 0.25x = 600 × 0.25 = 150

Answer:

X=45

Step-by-step explanation:

45+3x=180

180-45=135

135/3=45

x has to be 45

x=45

Answer:

  x = 30°

Step-by-step explanation:

The arcsin (inverse sine) function can be used. Be sure to set your calculator to degrees mode.

  sin(x) = 1/2

  arcsin(sin(x)) = arcsin(1/2)

  x = arcsin(1/2)

  x = 30°

Answer:

30

Step-by-step explanation:

Sum of the ratios = 3 + 4 + 5 = 12

Smallest share = 18 bags

Ratio of the smallest share = 3

Let the largest share = x

From the question

18 ------------ 3

x --------------5

Cross multiply

3x = 18 × 5

Dividing bothsides by 3

X = 18 × 5/ 3

X = 90 / 3

X = 30

Therefore.

The largest share = 30

solve for n:  n>0,x=0

or

solve for x : x=0,n>0

The differential equation of  the amount of a subject memorized in time t > 0 is k. a(t) + da(t)/dt = km, where k is a constant representing the rate  at which a subject is memorized.

Translate the given word problem into an algebraic expression.

Let m be the total amount of a subject to be memorized.

Let  a(t) be the amount memorized in time t > 0.

Let c(t) be the amount that is left to be memorized in time t > 0.

Then,

c(t) = m - a(t)

From the problem, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized. It means:

da(t)/dt = k. c(t),  where k is a constant

da(t)/dt = k. (m - a(t))

k. a(t) + da(t)/dt = km

Hence, the differential equation is k. a(t) + da(t)/dt = km

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Answer:

26

Step-by-step explanation:

2(9)-(-3)+5

2(9)+3+5

18+8

26

Answer:

 26

Step-by-step explanation:

2x^2 -x+5

x=-3

2(-3)^2 -(-3)+5

2(9)-(-3)+5

18-(-3)+5

negative multiplied by negative is positive so you have

18+3+5= 26

Have a nice day :)

Answer:

2 more classes than Ha? Provide more information, please.

Answer:

NEED MORE INFO

Step-by-step explanation:

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

\(\sqrt{69}\)

Step-by-step explanation:

from the pythagorean theorem:

\(a^2 + b^2 = c^2\\10^2 + b^2 = 13^2\\100 + b^2 = 169\\b^2 = 69\\b = \sqrt{69}\)

Answer: B: 0 < a < 1

Step-by-step explanation:

The equation we have is:

f(x) = a^(x + h) + k.

k is the value at where we have the horizontal line. In this particular case, we can see that we have a horizontal line at y = -4, then we can conclude that:

k ≈ -4

a is the rate of growth. If a is positive and greater than 1, we would have an increasing function, for example with a = 2, k = 0 and h = 0 we have:

2^1 = 2

2^2 =4

2^3 = 8

This is an increasing function.

Now if a is greater than 0 and smaller than 1, we have a decreasing function (as seen in the graph). For example for a = 0.5, k = 0 and h = 0 we have:

0.5^1 = 0.5

0.5^2 = 0.25

0.5^3 = 0.125

This is a decreasing function.

Then the correct option is B, 0 < a < 1

Answer:

its b

Step-by-step explanation:

a p e x

The particular solution satisfying the initial conditions is y(t) = (1/2)*cos(2t) - (1/8)*sin(2t) + (1/4)t - 1/2 and the graph has been plotted.

The given differential equation is y′′ + 4y = (t − ) − (t − 2). To solve this equation, we will first find the general solution to the homogeneous part, y′′ + 4y = 0, and then find a particular solution to the non-homogeneous part, (t − ) − (t − 2).

The characteristic equation for the homogeneous part is obtained by assuming the solution is of the form. Substituting this into the equation, we get r² + 4 = 0. Solving this quadratic equation, we find two complex roots: r = ±2i. Therefore, the general solution to the homogeneous part is y_h(t) = c₁cos(2t) + c₂sin(2t), where c₁ and c₂ are arbitrary constants.

To find a particular solution to the non-homogeneous part, we will use the method of undetermined coefficients. Since the non-homogeneous part contains terms (t − ) and (t − 2), we assume a particular solution of the form y_p(t) = At + B, where A and B are constants to be determined.

Taking the derivatives, we have y′_p(t) = A and y′′_p(t) = 0. Substituting these into the differential equation, we get 0 + 4(At + B) = (t − ) − (t − 2). Equating the coefficients of the like terms on both sides, we get 4A = 1 and 4B = -2.

Solving these equations, we find A = 1/4 and B = -1/2. Thus, the particular solution is y_p(t) = (1/4)t - 1/2.

The general solution to the original differential equation is given by the sum of the homogeneous and particular solutions: y(t) = y_h(t) + y_p(t).

y(t) = c₁cos(2t) + c₂sin(2t) + (1/4)t - 1/2.

We are given the initial conditions y(0) = 0 and y′(0) = 0.

Substituting these values into the general solution, we get:

y(0) = c₁cos(0) + c₂sin(0) + (1/4)*0 - 1/2 = 0.

This equation simplifies to c₁ - 1/2 = 0, which gives c₁ = 1/2.

Differentiating the general solution with respect to t, we get:

y′(t) = -2c₁sin(2t) + 2c₂cos(2t) + 1/4.

Substituting t = 0 and y′(0) = 0 into the above equation, we have:

y′(0) = -2c₁sin(0) + 2c₂cos(0) + 1/4 = 0.

This equation simplifies to 2c₂ + 1/4 = 0, which gives c₂ = -1/8.

Therefore, the particular solution satisfying the initial conditions is:

y(t) = (1/2)*cos(2t) - (1/8)*sin(2t) + (1/4)t - 1/2.

The graph will show how the solution varies with the input value t. It will illustrate the oscillatory nature of the cosine and sine functions, along with the linear term (1/4)t, which represents a gradual increase. The initial condition y(0) = 0 ensures that the graph passes through the origin, and y′(0) = 0 implies the absence of an initial velocity.

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Answer:

Solution given;

area of semi circle=½πr²=1/2×3.14×4²=25.12in²

area of rectangle ABCD=l×b=8×13=104in²

area of rectangle CEFI=l×b=3×6=18in²

Total area =25.12+104+18=147.12in²

Area of circle

Area of centre rectangle

Area of right rectangle

Total