(x + 1)(x-4) = 0
How would I solve this using the zero product properly

Answer:

c: between 10 and 11

Step-by-step explanation:

The root of 112 is 10.58 which is between the number 10 and 11

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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Answer:

B is the correct answer I believe (๑・ω-)～♥”

If I was right please mark me brainliest! (๑・ω-)～♥”

if 18.75 - 3 = 15.75

if every 2 years you get 15.75

if from 2023 to 2031 is 8 years

then 8 divided by 2 = 4

so 15.75 * 4 = 63

then the answer is 63

Answer:

the woodpecker was 7m above the ground

The height where the bird pecked is 7m above the ground.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A woodpecker pecked at a 17 m wooden pole until it cracked and the upper part fell with the top hitting the ground 10 m from the foot of the pole.

Therefore, If the length of the pole that fell down is 10m then the length of the remaining pole is,

= (17 - 10)m.

= 7m.

So, The bird pecked away where the pole had cracked is 7m.

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Answer:

The numbers are 2 and 3. 2^2+3^2=4+9=13

Step-by-step explanation:

Answer:

13 is your answer.

let two no. be x and y

by question

x+y=5

x=5-y...........(1)

xy=6.............(2)

putting the value of x in equation 2) we get

(5-y)y=6

5y-y²=6

y²-5y+6=0

y²-3y-2y+6=0

y(y-3)-2(y-3)=0

(y-3)(y-2)=0

either

y=3

or

y=2

putting the value of y in equation 1

when y=3

x=5-3=2

when

y=2

x=5-2=3

now

when

x=3 y=2

the sum of the square of the numbers=x²+y²=3²+2²=9+4=13

Step-by-step explanation:

8x-2=46

collect like terms

8x=46+2

8x=48

Divide both sides by 8

8x÷8=48÷8

x=6

9514 1404 393

Answer:

  c = 1.20s + 3.00

Step-by-step explanation:

1.20 times the sum, s, is written as 1.20s. Adding 3.00 to that gives ...

 c = 1.20s + 3.00

__

The sum is ...

  s = L +W +H

so the equation could be written ...

  c = 1.20(L +W +H) +3.00

The wording of the question suggests the independent variable should be s.

Answer:

\(\frac{\sqrt[4]{30} }{3}\)

Step-by-step explanation:

The multiplicative rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their probabilities.

Therefore, the multiplicative rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their probabilities.

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Answer:

B

Step-by-step explanation:

First simplify the first term to get

10y^4

then multiply 10y^4 by 4 square root 6y^3

40y would be all you needed to get answer

Answer:

40y^5√6y (B)

Step-by-step explanation:

Let's multiply 2√25y^8 * 4√6y^3:

8√150y^11 (When you multiply exponents with the same base, you can just add the exponents and keep the same base:

Ex. 4^5 * 4^9 = 4^14)

Let's simplify 8√150y^11

√150 = 5√6

√y^11 = y^5√y

So our final answer would be:

40y^5√6y

Answer:

15

Step-by-step explanation:

So first you need to find out how many groups of 6 cups of oatmeal there are. So for this just do 18/6=3

So now you should be able to find the amount of flour by doing 5*3=15

The flour is needed for a big batch of cookies that uses 18 cups of oatmeal would be 15 cups.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

In order to find out how many groups of 6 cups of oatmeal there are.

So, For every 6 cups of oatmeal = 18/6=3

Now,

For 5 cups of flour = 5 x 3 = 15

The flour is needed for a big batch of cookies that uses 18 cups of oatmeal would be 15 cups.

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Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The value of n is n = 2.56 cm

Option D is correct option.

Step-by-step explanation:

Perimeter of hexagon = 14.7 cm

Five sides have length = n cm

One side has length = 1.9 cm

We need to find value of n

The formula used to find Perimeter of hexagon is : \(Perimeter = Sum\;of\:all\:sides\)

We can write:

\(Perimeter = Sum\;of\:all\:sides\\14.7=5n+1.9\\\)

Because 5 sides have length = n so, 5n and one side has length = 1.9

Now, solving to find n

\(14.7-1.9=5n\\5n=12.8\\n=\frac{12.8}{5}\\n=2.56\)

So, The value of n is n = 2.56 cm

Option D is correct option.

The officer can conclude the driver exceeded the speed limit because, by the Mean Value Theorem, at some time c, the car was travelling at a speed of miles per hour.

The Mean Value Theorem states that a differentiable function f(x) over a given interval (a,b) has to have at least one point c between a and b such that the derivative of f(x) at c is equal to the slope of the line joining f(a) and f(b).

Given the scenario where a state patrol officer saw a car start from rest at a highway on-ramp, and when the car reached the location of the second officer 22 minutes later, it was clocked going 60 mi/hr, the officer can conclude that the driver exceeded the speed limit because if the driver was driving at a speed equal to the speed limit, then there would not have been any need for him to speed up.

Therefore, Because of the Mean Value Theorem, the officer can determine that the driver went above the speed limit because the car was moving at a speed of miles per hour at time c.

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Answer:

Step-by-step explanation:

I thinkin it -43

Answer:

15

Step-by-step explanation:

because when the y value stays the same, the slope is 0

Step-by-step explanation:

Given that,

The length of a carton, h = 9 cm

Width, b = 13 cm

height, h = 24 cm

I drink one-third of the fruit juice, then two third will be left. So, the volume is :

\(V=\dfrac{2}{3}\times lbh\\\\V=\dfrac{2}{3}\times 9\times 24\times 13\\\\V=1872\ cm^3\)

Since, 1 L = 1000 cm³

1872 cm³ = 1.8 L

or

= 1800 mL

Hence, this is the required solution.

The point (2,2) may be considered an anomaly and should be investigated further to determine if it is a valid data point or if it should be excluded from the analysis.

The relation of the point (2,2) to the line of best fit can be determined by analyzing the residual value of this point. The residual value is the difference between the actual y-value and the predicted y-value based on the line of best fit. If the residual value is close to zero, then the point lies on the line of best fit. If the residual value is positive, then the actual y-value is higher than the predicted y-value, and if the residual value is negative, then the actual y-value is lower than the predicted y-value.

Unfortunately, the data necessary to determine the residual value of the point (2,2) is not provided in the question. Therefore, it is impossible to determine the exact relation of this point to the line of best fit.

However, we can make some generalizations based on the location of the point relative to the trend of the data.

If the point (2,2) lies close to the line of best fit, with a residual value close to zero, then it can be said that the point follows the trend of the data and is a typical data point. However, if the point lies far away from the line of best fit, with a large positive or negative residual value, then it can be said that the point is an outlier and does not follow the trend of the data.

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Answer:

5x

Step-by-step explanation:

UwU

Answer:

17x - 12x should be 5x.

same variable means u can subtract it w out properties of inequality

Step-by-step explanation:

According to the given statement the overall time required for the flocculation is approximately 10.67 minutes.

To calculate the overall time required for the flocculation step, we need to use the formula:.

Overall Time = Total Volume / Flow Rate

First, we need to find the total volume of the two parallel flocculation basins.

Total Volume = Length x Width x Depth x Number of Basins

Since there are two basins, the length of each basin is 12 m.

The width is 4 m, and the water depth is also 4 m.

Total Volume = (12 m + 12 m) x 4 m x 4 m = 192 m³

Next, we need to convert the flow rate from m³/s to m³/min.

Flow Rate = 0.3 m³/s x 60 s/min = 18 m³/min

Finally, we can calculate the overall time by dividing the total volume by the flow rate.

Overall Time = Total Volume / Flow Rate = 192 m³ / 18 m³/min ≈ 10.67 min

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The overall time required for the flocculation step in this plant is approximately 10.67 minutes. This means it takes approximately 10.67 minutes for the water to pass through the two parallel flocculation basins.

To calculate the overall time required for the flocculation step, we need to consider the hydraulic detention time in the flocculation basins. The hydraulic detention time is the average time it takes for water to pass through the flocculation basins.

First, let's calculate the volume of water that can be held in the basins:
Volume = length × width × depth = 12 m × 4 m × 4 m = 192 m³

Since the plant treats 0.3 m³/s, we can calculate the hydraulic detention time:
Hydraulic Detention Time = Volume / Flow Rate = 192 m³ / 0.3 m³/s = 640 s

Now, let's convert this time to minutes:
Overall Time = Hydraulic Detention Time / 60 = 640 s / 60 = 10.67 min (rounded to two decimal places)

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The probability is 0.6480.

The probability is 0.9629.

1. This can be computed using the standard normal distribution as follows:

z = (70 - 69.0) / 2.8 = 0.357

Using a standard normal table or calculator, we find that P(Z ≤ 0.357) ≈ 0.6480. Therefore, the probability that a male passenger can fit through the doorway without bending is approximately 0.6480.

2. = 2.8/√25 = 0.56 inches.

We want to find P(x < 70), which is the probability that the mean height of the 25 men is less than 70 inches. This can be standardized using the standard normal distribution as follows:

z = (70 - 69.0) / 0.56 = 1.79

Using a standard normal table or calculator, we find that P(Z < 1.79) ≈ 0.9629. Therefore, the probability that the mean height of the 25 men is less than 70 inches is approximately 0.9629.

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Answer:7

Step-by-step explanation:

Answer:

Use the pythagoreum theorum to find the length of the sides and multiply the length and width to find the area of the square.

Using Excel we find the probability as 0.858

Number of green slots = 2

Total number of slots = 38

It's a binomial experiment where n = 25,

p = 2/38 and

we need to find P(k <= 2)

The renowned binomial test of statistical significance is built on the binomial distribution. Given a success probability of "p" for each trial in the experiment, the binomial distribution represents the likelihood for "x" successes of an experiment in "n" trials. The binomial distribution utilized here has two parameters, n and p. The variables "n" and "p" stand for the number of trials and the probability of each outcome, respectively. A test with a single outcome, such as success or failure, is also known as a Bernoulli experiment, and a test with a string of results is known as a Bernoulli process.

Using excel, the answer is 0.858

Hence we get the required answer.

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Answer: the height of the pole is 16.782 meters

Step-by-step explanation: Let us take the height of the pole as "h".

i) Finding the height of the pole:

distance from the pole is 20m.

The angle of elevation is 40°

\(tan(40°) = h/20\)

Multiply both sides by 20:

\(20 * tan(40°) = h\)

\(h ≈ 20 * 0.8391 ≈ 16.782 meters\)

Therefore, the height of the pole is 16.782 meters.

ii) Finding the angle of depression

The angle of depression is the angle formed between the horizontal ground and the line of sight from the point of observation to the foot of the pole.

angle of depression = angle of elevation = 40°

Therefore, the angle of depression of the foot of the pole from the point of observation is 40°.

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Using trigonometric methods, it is determined that the height of the pole is found by using the formula for tangent, and adding the height of the observer. The angle of depression equals the angle of elevation, so both are 40 degrees.

To solve the problem, we use the properties of a right triangle and trigonometric functions. Since we know the angle of elevation and the length of one side, we can find the length of the other side using the tangent function.

For the height of the pole: we know that tan(θ) = opposite/adjacent, so,
tan(40) = height/20
height = tan(40) * 20

Let's denote the observer's height as h=1.54m, so the total height of the pole is height + h.

For the angle of depression: In a right triangle, the angle of depression and the angle of elevation are equal. Therefore, the angle of depression is also 40 degrees.

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Since the problem does not specify the region r, we cannot provide a specific iterated integral. However, we can provide the general formulas for writing an iterated integral over a region using vertical or horizontal cross-sections.

a) For vertical cross-sections, we integrate with respect to x first, and then integrate with respect to y over the range of y values that correspond to each vertical strip of the region. The formula is:

∫∫ f(x,y) dA = ∫ [y_min(x), y_max(x)] ∫ f(x,y) dy dx

where y_min(x) and y_max(x) are the lower and upper bounds for y that correspond to the region bounded by the vertical line x.

b) For horizontal cross-sections, we integrate with respect to y first, and then integrate with respect to x over the range of x values that correspond to each horizontal strip of the region. The formula is:

∫∫ f(x,y) dA = ∫ [x_min(y), x_max(y)] ∫ f(x,y) dx dy

where x_min(y) and x_max(y) are the lower and upper bounds for x that correspond to the region bounded by the horizontal line y.

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The best course of action for Milo is to use consumer protection laws to get his money back. The Option A is correct.

These laws protect consumers from fraudulent or unfair business practices, so, Milo can file a complaint with the relevant agency or department that handles consumer protection in his area.

So, he can consider seeking legal advice to help him navigate the process. He should gather any documentation he has regarding the deposit and rental agreement to support his case.

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Answer:

I. 33,56,65

Step-by-step explanation:

____________

Data

• owed $9 to Juanita

• owed 8 times that much to Miguel

Procedure

We know that Hondo owes $9 dollars to Juanita, which can be written algebraically as follows:

where J represents how much Hondo owes to Juanita.

The next part which says "He owed 8 times that much to Miguel" we can write it algebraically as follows:

where M represents how much Hondo owes to Miguel. As we know the value of J, we can replace it in the expression:

Answer: Hondo owes Miguel $72.