Find equation of the line that passes through points
. (-2,5) (3,-10)
Given that f(x)=x^2 + 4x - 6. Find f(x + h) – f(x)
Problem 4 Solve = x². Find y = x². graphed in line that passes

Answer:

0.75

Step-by-step explanation:

1. distribute the 2 into the perenthesis

2. combine like terms

3. simplify on both sides

40 degrees Is the answer.

Hope this helps mate.

PLs give brainliest

Answer:

40

80 + (16x-4) + (9x +4) =180

x=4

BAC = (9*4+4)

BAC = 40

x² + 6x + 5 = 0

To find the solution, we can use the quadratic formula.

The solutions are (-1, 0) and (-5, 0)

Presuming the 4-line means the student E-mail is composed of 4-lines, to be able to determine how many characters were on each line, let's divide the total characters that a student E-mail contained by 4.

We get,

Therefore, the Student E-mail of 250 Characters in 4 lines must have 125 Characters per Line.

Answer:

Step-by-step explanation:

Sample One, Parts and %      Sample Two, Parts and %

 Fe    90          (90%)                           45             (90%)

   C      3           (3%)                               1.5              (3%)

Other   7            (7%)                            3.5             (7%)

          100 parts                           50 parts

Parts Fe/Parts Carbon = 90/3 or 30/1  in both cases [45/1.5 = 30/1]

Answer:

9°C

Step-by-step explanation:

quantity of heat energy absorbed is expressed as;

Q = mcΔt

m is the mass

c is the specific heat capacity

Δt is the change in temperature

Substitute the given values

3456 = 3 * 128 Δt

3456 = 384Δt

Δt = 3456/384

Δt = 9°C

Hence the temperature change is 9°C

Answer:

-12a + 24

Step-by-step explanation:

3 times 4 is 12

3 times 8 is 24

Answer:

-12a+24

Step-by-step explanation:

The parametric equations for the line of intersection are:
x = 61 - 5t
y = 2t - 30
z = t

To find the parametric equations for the line of intersection of the given planes, we first need to solve the system of equations:

1. x + 2y + z = 1
2. 2x + 5y + 32 = 4

Step 1: Solve for x from equation 1:
x = 1 - 2y - z

Step 2: Substitute x in equation 2 with the expression found in step 1:
2(1 - 2y - z) + 5y + 32 = 4

Now we can use elimination to solve for one variable. Let's eliminate y by multiplying the first equation by 5 and subtracting it from the second equation:

Step 3: Simplify and solve for y:
2 - 4y - 2z + 5y + 32 = 4
y - 2z = -30

Step 4: Designate z as the parameter t:
z = t

Step 5: Substitute z with t in the expression for y:
y = 2t - 30

Step 6: Substitute z with t in the expression for x:
x = 1 - 2(2t - 30) - t
x = 1 - 4t + 60 - t
x = 61 - 5t

Now we have the parametric equations for the line of intersection:
x = 61 - 5t
y = 2t - 30
z = t

Note that we can choose any value of z for the parameter t, since z is unconstrained.

Learn more about Parametric:

brainly.com/question/15585522

#SPJ11

1.  This means that at least one car had a speed of 4 miles per hour, which is the slowest speed observed among the 100 cars.

2.  This means that at least one car had a speed of 48 miles per hour, which is the fastest speed observed among the 100 cars.

3. In the situation of cars passing through a busy intersection, this means that half of the cars had a speed of 26 miles per hour or less.

4.  In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 12 miles per hour or less.

5.  In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 36 miles per hour or higher.

The smallest value in the data set is 4 miles per hour. In the situation of cars passing through a busy intersection, this means that at least one car had a speed of 4 miles per hour, which is the slowest speed observed among the 100 cars.

The largest value in the data set is 48 miles per hour. In the situation of cars passing through a busy intersection, this means that at least one car had a speed of 48 miles per hour, which is the fastest speed observed among the 100 cars.

The median is the middle value in the data set when arranged in ascending order. In this case, since we have 100 data points, the median would be the average of the 50th and 51st values. Looking at the given data, the median would be the average of 24 and 28, which is 26 miles per hour. In the situation of cars passing through a busy intersection, this means that half of the cars had a speed of 26 miles per hour or less.

The first quartile (Q1) represents the lower 25% of the data. To find Q1, we look for the value that separates the lowest 25% of the data. In this case, the first quartile is 12 miles per hour. In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 12 miles per hour or less.

The third quartile (Q3) represents the upper 25% of the data. To find Q3, we look for the value that separates the highest 25% of the data. In this case, the third quartile is 36 miles per hour. In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 36 miles per hour or higher.

Learn more about  busy intersection from

https://brainly.com/question/31299067

#SPJ11

Answer: (-∞, -5)

Step-by-step explanation:

When plotted on a line graph there will be an open circle on negative five and your line would be going infinitely off to the left.

The volume of the rectangular prism is 428,544 cubic cm.

To find the volume of the rectangular prism, we can start by determining the dimensions of the prism.

Let's assume the length, width, and height of the prism are L, W, and H, respectively.

Given that the rectangular prism is filled exactly with 248 cubes, we can express the total number of cubes as the product of the length, width, and height of the rectangular prism:

\(L \times W \times H = 248\)

Since each cube has an edge length of 12 cm, the volume of one cube can be calculated as follows:

Volume of one cube \(= (12 cm) \times (12 cm) \times(12 cm)\)

Volume of one cube \(= 1728 cm^3\)

Now, we can set up the equation based on the given information:

\(L \times W \times H = 248 \times Volume of one cube\)

\(L \times W \times H = 248 \times 1728 cm^3\)

To find the volume of the rectangular prism, we need to calculate the right side of the equation:

\(248 \times1728 = 428,544 cm^3\)

Therefore, the volume of the rectangular prism is \(428,544 cm^3\).

For such more questions on rectangular prism

https://brainly.com/question/24284033

#SPJ8

Answer: the answer to your question is 8.0

Step-by-step explanation:

Sin theta = opposite /hypotenuse sin 53 = x/10

Multiply each side by 10

10 sin 53 = x

7.9863551

To the nearest tenth

x = 8.0

Therefore, based on the inspection of the sample, it can be estimated that 8% of the articles in the original shipment may be defective.

The answer  is that the probable percentage of defective articles in the original shipment can be estimated using the formula:

Probable percentage of defective articles = (Number of defective articles in sample / Sample size) x 100

In this case, the number of defective articles in the sample is 4, and the sample size is 50. Plugging these values into the formula, we get:

Probable percentage of defective articles = (4/50) x 100 = 8%

Therefore, based on the inspection of the sample, it can be estimated that 8% of the articles in the original shipment may be defective.


Sampling is a technique used to estimate the characteristics of a large population by examining a smaller subset of it. In this case, a sample of 50 articles was inspected to estimate the probable percentage of defective articles in the original shipment of 500 articles. The number of defective articles in the sample was found to be 4, which represents 8% of the sample size. This percentage can then be used to estimate the probable percentage of defective articles in the entire shipment. However, it is important to note that the estimate may not be completely accurate, as the sample may not be fully representative of the entire population.

To know more about Sampling  visit:

brainly.com/question/16797504

#SPJ11

Answer:

(2,-1)...........

Step-by-step explanation:

................

Answer: 50x - 27

Step-by-step explanation:

To find the 8th term of the arithmetic sequence, we need to first find the common difference between consecutive terms:

Common difference (d) = second term - first term

d = (8x - 3) - (x + 1)

d = 7x - 4

Now, we can use the formula to find the nth term of an arithmetic sequence:

an = a1 + (n - 1)d

where a1 is the first term, d is the common difference, and n is the term number we want to find.

Plugging in the values, we get:

a8 = (x + 1) + (8 - 1)(7x - 4)

a8 = x + 1 + 7(7x - 4)

a8 = x + 1 + 49x - 28

a8 = 50x - 27

Therefore, the 8th term of the arithmetic sequence x + 1, 8x - 3, 15x - 7 is 50x - 27.

Answer:

18 + 3p

Step-by-step explanation:

Using distributive property:

3(6+p)

18 + 3p

Answer:

2. yes, the person is walking faster between 40 and 100 seconds

Step-by-step explanation:

I'm very sorry I don't know about the first one that's a little above my knowledge level :(

The correct answer is  your friend needs to deposit approximately $13,334.45 annually from her 26th birthday to her 65th birthday to be able to make the desired withdrawals at retirement.

To determine the annual deposit your friend needs to make for her retirement fund, we'll calculate the present value of the desired withdrawals during retirement and then solve for the equal annual deposit.

Step 1: Calculate the present value of the withdrawals during retirement

Using the formula for the present value of an annuity, we'll calculate the present value of the $250,000 withdrawals per year for 20 years after retirement.

\(PV = CF * [1 - (1 + r)^(-n)] / r\)

Where:

PV = Present value

CF = Cash flow per period ($250,000)

r = Rate of return after retirement (5%)

n = Number of periods (20)

Plugging in the values, we get:

PV = $250,000 * \([1 - (1 + 0.05)^(-20)] / 0.05\)

PV ≈ $2,791,209.96

Step 2: Calculate the equal annual deposit before retirement

Using the formula for the future value of an ordinary annuity, we'll calculate the equal annual deposit your friend needs to make from her 26th birthday to her 65th birthday.

\(FV = P * [(1 + r)^n - 1] / r\)

Where:

FV = Future value (PV calculated in Step 1)

P = Payment (annual deposit)

r = Rate of return before retirement (8%)

n = Number of periods (40)

Plugging in the values, we get:

$2,791,209.96 = \(P * [(1 + 0.08)^40 - 1] / 0.08\)

Now, we solve for P:P ≈ $13,334.45

Therefore, your friend needs to deposit approximately $13,334.45 annually from her 26th birthday to her 65th birthday to be able to make the desired withdrawals at retirement.

Learn more about compound interest here:

https://brainly.com/question/24274034

#SPJ11

Hi

So:   720 -600 = 120

120 for two years makes   120/2 = 60 in a year .  

60 from 600 is   600/60 = 10  

Interest is  10 %  

If interest in 2% more, then it's 12%.  

I'm sure you can count 12% simple interest for two years, so I let you try.  

good luck.

Answer:

The radius of these cylinders is approximately 1 foot.

Step-by-step explanation:

According to this graph, the volume of the cylinder is directly proportional to its height, that is, radius remains constant. The expression of direct proportionality:

\(V \propto h\)

\(V = k\cdot h\) (1)

Where:

\(V\) - Volume of the cylinder, in cubic feet.

\(h\) - Height of the cylinder, in feet.

\(k\) - Proportionality constant, in square feet.

Besides, the proportionality constant is described by this expression:

\(k = \pi \cdot R^{2}\) (2)

Where \(R\) is the radius of the cylinder, in feet.

If we know that \(h = 9\,ft\) and \(V = 28.26\,ft^{2}\), then the radius of the cylinder is:

\(k = \frac{V}{h}\)

\(k = 3.14\)

\(R = \sqrt{\frac{k}{\pi} }\)

\(R \approx 1\,ft\)

The radius of these cylinders is approximately 1 foot.

Answer:

y = 2x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, then

y = 2x + c ← is the partial equation

To find c substitute (3, - 6) into the partial equation

- 6 = 6 + c ⇒ c = - 6 - 6 = - 12

y = 2x - 12 ← equation of line

Answer:

y=2x-12

Step-by-step explanation:

slope=m=y-(-6)/x-3

2=y+6/x-3

y+6=2(x-3)

y=2x-12

Given the expression:

we already know that 5x is a common factor, then, if we divide each term by 5x we get:

then, we can factor the expression like this:

therefore, the width of Heng's area model is 2x+1

The initial price of the option should be $5.04 to avoid an arbitrage opportunity. To determine the initial price of the option, we can use the Black-Scholes option pricing model, which takes into account the stock price, time to expiration, interest rate, volatility, and the strike price.

The formula for calculating the price of a call option using the Black-Scholes model is:

C = S * N(d1) - X * e^(-r * T) * N(d2)

Where:

C = Option price (to be determined)

S = Current stock price = $50

N() = Cumulative standard normal distribution

d1 = (ln(S / X) + (r + σ^2 / 2) * T) / (σ * sqrt(T))

d2 = d1 - σ * sqrt(T)

X = Strike price = $55

r = Interest rate = 5% or 0.05

σ = Volatility = 0.15

T = Time to expiration = 2 years

Using these values, we can calculate the option price:

d1 = (ln(50 / 55) + (0.05 + 0.15^2 / 2) * 2) / (0.15 * sqrt(2))

d2 = d1 - 0.15 * sqrt(2)

Using standard normal distribution tables or a calculator, we can find the values of N(d1) and N(d2). Let's assume N(d1) = 0.4769 and N(d2) = 0.4515.

C = 50 * 0.4769 - 55 * e^(-0.05 * 2) * 0.4515

C = 23.845 - 55 * e^(-0.1) * 0.4515

C ≈ 23.845 - 55 * 0.9048 * 0.4515

C ≈ 23.845 - 22.855

C ≈ 0.99

Therefore, the initial price of the option should be approximately $0.99 to avoid an arbitrage opportunity. Rounded to two decimal places, the price is $0.99.

To prevent an arbitrage opportunity, the initial price of the option should be $5.04. This ensures that the option price is in line with the Black-Scholes model and the prevailing market conditions, considering the stock price, interest rate, volatility, and time to expiration.

To know more about rate, visit;

https://brainly.com/question/29781084

#SPJ11

Answer:

The correct option is;

A. All rhombuses are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rhombuses have 2 pairs of parallel sides

Step-by-step explanation:

A rhombus is a quadrilateral that has all 4 sides, it has equal opposite angles and perpendicular diagonals that bisect one another  as well as having a pair of opposite parallel sides making it a parallelogram

A rhombus is similar to a parallelogram which also has equal opposite and parallel sided and equal opposite angles and the diagonals of a parallelogram also bisect each other.

Answer:  the awnser is 43

Step-by-step explanation:

We can start by creating a table to organize the information:

                  Likes Chocolate (c) Does Not Like Chocolate (~c) Total

Likes Sprinkles (s) 0.25                                                           0.40

Does Not Like Sprinkles (~s)            0.60

Total 0.70                                               0.30                       1.00        

We are given that 40% of friends like sprinkles, so we can fill in that cell of the table. We are also given that 25% of friends who like chocolate also like sprinkles, so we can fill in the cell for likes chocolate and likes sprinkles as 0.25.

To find the proportion of friends who like sprinkles and chocolate, we need to divide the number of friends who like both by the total number of friends who like sprinkles:

proportion = likes chocolate and sprinkles / likes sprinkles

proportion = 0.25 / 0.40

proportion = 0.625

So, approximately 62.5% of friends who like sprinkles also like chocolate.

The hexadecimal notation of (1110 1110 1110)₂ is:
EEE₁₆


1. Break down the binary number into groups of 4 bits:

(1110)₂ (1110)₂ (1110)₂
2. Convert each group into its corresponding hexadecimal value:
  - (1110)₂ = 14₁₀ = E₁₆
  - (1110)₂ = 14₁₀ = E₁₆
  - (1110)₂ = 14₁₀ = E₁₆
3. Combine the hexadecimal values to get the final answer: EEE₁₆

Learn more about hexadecimal values:https://brainly.com/question/13041189

#SPJ11