Find the vertex of the parabola.
y = 2x^2+ 8x+12
a.
(2,-4)
b. (-2,4)
c. (-4,2)
d.
(4,-2)

Answer:

X=3

Step-by-step explanation:

6x=27-9

6x=18/6

x=3

Answer:

x=3

Step-by-step explanation:

Alrighty lets begin.

First, subtract 9 from 9 and from 27. Your equation will look like:

6x=18

Now, divide 6 from 6x and from 18. It would look like:

6x/6 = 18/6

Then cancel out the 6's.

And finally, simplify 18/6 and you get 3.

Your answer is x = 3

<<Please mark Brainliest if possible ;) have a nice day!>>

Answer:

C

Step-by-step explanation:

17.156 is the irrational number as it is terminating(means it ends)

Rest all are irrational

Answer:

So 180-94 =86 so then it becomes 60°, 86°, and 2x so you would then add 60 and 86 together and get 146 and 180 - 146 is 34 then divide by two and you get 17 so x=17°

Step-by-step explanation:

Sorry if that’s confusing

Answer:

x = 17

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

94° is an exterior angle of the triangle, thus

2x + 60 = 94 ( subtract 60 from both sides )

2x = 34 ( divide both sides by 2 )

x = 17

Answer:

8 assignments a day

Step-by-step explanation:

Answer:

I would say C or B

Step-by-step explanation:

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Answer:

25, 32, 40

I hope this helped!

The appropriate inference method for this situation is a) Confidence Interval for a Proportion.

In a survey of 750 Americans, the proportion of individuals who indicated a belief in reincarnation was found to be 24%. To estimate the true proportion of Americans who believe in reincarnation, a confidence interval for a proportion is the appropriate method. This allows us to estimate the range within which the true proportion lies with a certain level of confidence.

By calculating a confidence interval for the proportion, we can provide an estimate of the range within which the true proportion of Americans who believe in reincarnation is likely to be. This interval provides a measure of the uncertainty associated with our estimate and allows us to make inferences about the population based on the sample data.

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False.

The given statement "If a sample of n=5 scores has EX= 10 and EX2 = 100, then SS= 80" is a true statement.

Here is how we can prove it:

To calculate SS, we can use the formula below:

SS = \sum_{i=1}^{n}x_{i}^{2} - \frac{(\sum_{i=1}^{n}x_{i})^2}{n}

Given n = 5, EX = 10, and EX2 = 100

We know that:

EX = \frac{\sum_{i=1}^{n}x_{i}}{n}

Putting the given value of EX = 10, we can find out the value of sum of all n scores.

sum = EX \times n sum = 10 \times 5 sum = 50

Now,

we can use EX2 to find the value of sum of squares of all n scores.

EX2 = \frac{\sum_{i=1}^{n}x_{i}^{2}}{n}

Putting the given value of EX2 = 100, we can find out the value of sum of squares of all n scores.

sum of\;squares = EX2 \times n sum of\;squares = 100 \times 5

sum of\;squares = 500

Now, we can substitute the values of sum and sum of squares in the formula of SS.  

SS = \sum_{i=1}^{n}x_{i}^{2} - \frac{(\sum_{i=1}^{n}x_{i})^2}{n}

SS = 500 - \frac{50^2}{5}

SS = 500 - 500

SS = 0

Therefore, the value of SS is 0 which is not equal to 80.

Hence, the statement "If a sample of n=5 scores has EX= 10 and EX2 = 100, then SS= 80" is false.

False.

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Find the common denominator (Lower number on a fraction)

Simplest way is 5x7. 5x7=35

Make it imporper: 13/5 and 3/7

Common denominator: 91/35 and 15/35

106/35.

Mixed form:  3 1/35

Brainliest and a heart would be the best, thank you.

Answer:

106/35 or 3 and 1/35 (depending on if the answer should be a mixed number or improper fraction)

Step-by-step explanation:

2 3/5 + 3/7

to add, you first convert to improper fractions by multiplying the denominator by the whole number and adding that product to the numerator

5*2=10 and 10+3=13 so the first fraction is now 13/5

the problem is now 13/5+3/7

when adding fractions the denominator needs to be the same. To find the least common multiple (or LCM) or a number you take the number's prime factorization and multiply together the largest number of each prime together. However, since these numbers are prime this is unnecessary and we can just multiply them. When multiplying to change the denominator or numerator you must always multiply the opposite side by the same number.  This is because a number over the same number equals one and thus you are altering the form without altering the intrinsic numerical value associated with it. For example, you would multiply 13/5 * 7/7 and get 91/35

Next we would multiply 3/7 * 5/5 because 5 is the number that would make the denominator of this fraction also equal 35 and get 15/35

We now have the equation 91/35 + 15/35

When adding the denominator stays the same and you add the numerators which would produce 106/35

We can convert this to a mixed number by seeing how many times 35 can go into 106 completely.

35 goes into 106 3 times with a leftover of 1 so the mixed version would be 3 and 1/35

Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Solutions (a,b) = (3,8) or (8,3), which are not in Z11. Therefore, the polynomial x^2 + x + 4 is irreducible over Z11.

To show that the polynomial x^2 + x + 4 is irreducible over Z11, we need to ensure that it cannot be factored into simpler polynomials with integer coefficients modulo 11. In Z11, we can test the possible roots of the polynomial using the integers {0, 1, 2, ..., 10} and see if any of them satisfy the equation x^2 + x + 4 ≡ 0 (mod 11). If none of them do, then the polynomial is irreducible.
Testing each integer, we find:
0: (0^2 + 0 + 4) ≡ 4 (mod 11)
1: (1^2 + 1 + 4) ≡ 6 (mod 11)
2: (2^2 + 2 + 4) ≡ 2 (mod 11)
3: (3^2 + 3 + 4) ≡ 5 (mod 11)
4: (4^2 + 4 + 4) ≡ 3 (mod 11)
5: (5^2 + 5 + 4) ≡ 10 (mod 11)
6: (6^2 + 6 + 4) ≡ 8 (mod 11)
7: (7^2 + 7 + 4) ≡ 7 (mod 11)
8: (8^2 + 8 + 4) ≡ 9 (mod 11)
9: (9^2 + 9 + 4) ≡ 4 (mod 11)
10: (10^2 + 10 + 4) ≡ 6 (mod 11)
Since none of these integers satisfy the equation, the polynomial x^2 + x + 4 is irreducible over Z11.

To show that x^2 + x + 4 is irreducible over Z11, we can use the following steps:
Step 1: Substitute all possible values of x in the polynomial and check if it has any linear factors.
x = 0: 0^2 + 0 + 4 = 4 (not zero)
x = 1: 1^2 + 1 + 4 = 6 (not zero)
x = 2: 2^2 + 2 + 4 = 10 (not zero)
x = 3: 3^2 + 3 + 4 = 1 (zero)
x = 4: 4^2 + 4 + 4 = 7 (not zero)
x = 5: 5^2 + 5 + 4 = 10 (not zero)
x = 6: 6^2 + 6 + 4 = 2 (not zero)
x = 7: 7^2 + 7 + 4 = 10 (not zero)
x = 8: 8^2 + 8 + 4 = 5 (not zero)
x = 9: 9^2 + 9 + 4 = 9 (not zero)
x = 10: 10^2 + 10 + 4 = 5 (not zero)
Since there are no linear factors (i.e. no values of x that make the polynomial equal to zero), the polynomial is not reducible over Z11.
Step 2: Check if the polynomial has any quadratic factors by assuming it does, and then solving for the coefficients of the quadratic factors using the division algorithm.
Let the polynomial be factored as (x+a)(x+b), where a and b are in Z11. Then, expanding this expression gives:
x^2 + (a+b)x + ab
Comparing the coefficients of this expression with the coefficients of the original polynomial x^2 + x + 4, we get the following system of equations:
a + b = 1
ab = 4
Solving this system of equations gives the solutions (a,b) = (3,8) or (8,3), which are not in Z11. Therefore, the polynomial x^2 + x + 4 is irreducible over Z11.

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Answer:

5 full bowls

Step-by-step explanation:

Set up a proportion where x is the number of bowls with 17 avocados:

\(\frac{3}{1}\) = \(\frac{17}{x}\)

Cross multiply and solve for x:

3x = 17

x = 5.67

This means that 5 full bowls of guacamole can be made with 17 avocados.

Answer: 5 full bowl

Step-by-step explanation:

17 divided by 3 = 5 full bowls 2 avocados

Answer:

5

Step-by-step explanation:

4(5+n)=4(n+p)

20+4n=4n+4p

4p=20

p=20/4

p=5

Answer:

the value of p is 5

Step-by-step explanation:

the expression 4(5 + n) is equivalent to 4(n + p)

4(5+n)=4(n+p)

5+n=n+p

n+5=n+p

comparing each other

we get p=5

It is TRUE that If you want to calculate the total magnification, take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.

If you want to get the total magnification of a microscope, you need to multiply the magnification of the objective lens by the magnification of the eyepiece lens. The objective lens typically has a magnification of 4X, 10X, or 40X, and the eyepiece lens usually has a magnification of 10X. So, for example, if you are using a 10X objective lens and a 10X eyepiece lens, the total magnification would be 10 × 10 = 100X.

On the other hand, these numbers may be the total magnification for a lower powered stereomicroscope. 10X and 40X are achievable with 10X eyepieces and 1X or 4X objective lenses. Or it can be a zoom stereomicroscope with zoom set to 1X and 4X and 10X eyepieces. To get a total of 4X, you can use the 0.8X zoom setting (which is common) plus the 5X eyepiece. Or you can use the 0.5x auxiliary lens, 0.8x zoom and 10x eyepieces.

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Complete Question:

True, or False

To get the total magnification take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.

Answer:

Less than.

Step-by-step explanation:

The specific numerical solution will depend on the number of firms in the market and their behavior.

In a Stackelberg version of monopolistic competition, there is a leader firm that sets its output first, and all the other firms in the market act as followers and choose their outputs simultaneously.

Suppose there are "n" firms in the market, with the first firm denoted as the leader. Let's assume that each firm has a constant marginal cost of $10 per unit. Then, the leader firm's profit-maximizing output level can be found by solving the following problem:

max (30-Q1-Q2-...-Qn)Q1 - 10Q1

subject to Q1 >= 0

where Q1 is the output level of the leader firm, and Q2, Q3, ..., Qn are the output levels of the follower firms.

Taking the first-order condition by differentiating with respect to Q1 and setting it equal to zero, we get:

d/dQ1 [(30-Q1-Q2-...-Qn)Q1 - 10Q1] = 0

Simplifying this expression, we get:

30 - Q1 - Q2 - ... - Qn - 2Q1 = 0

Solving for Q1, we get:

Q1 = (30 - Q2 - ... - Qn)/3

This equation gives us the leader firm's profit-maximizing output level as a function of the follower firms' output levels.

Now, let's consider the follower firms' profit-maximizing output levels. Since each follower firm is a price-taker, its profit-maximizing output level can be found by equating marginal cost to market price, which is equal to the market demand curve divided by the total quantity produced by all firms in the market. Therefore, the profit-maximizing output level of the jth follower firm can be expressed as:

Qj* = (1/n) * (30 - Q1 - Q2 - ... - Qj-1 - Qj+1 - ... - Qn - 10)

where Qj* is the follower firm's profit-maximizing output level, and j = 2, 3, ..., n.

Using these expressions for the leader and follower firms' profit-maximizing output levels, we can solve for the equilibrium outputs and profits in the Stackelberg version of monopolistic competition. However, the specific numerical solution will depend on the number of firms in the market and their behavior.

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Answer:

397/20

Step-by-step explanation:

i think?

if im wrong im sorry

Answer:

The answer is 0

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

C

1 or more includes from the 1st quartile to the rest of the graph, so it is 75%

Answer:

3,4,5. or C,D,E.

Step-by-step explanation:

Every line bisects a vertex angle.

Every line bisects a side.

Every line is perpendicular to a side.

I took it on Edg and got 100%

The true statements about the line of symmetry for a regular Pentagon are statements 3, 4, and 5.

A regular Pentagon is a five-sided polygon whose interior angles are all equals.

We have to given that;

To find statements are true about the lines of symmetry of a regular pentagon.

Hence, The true statements about the line of symmetry for a regular Pentagon are:

Every line bisects a vertex angle.

Every line bisects a side.

Every line is perpendicular to a side.

In conclusion, a regular Pentagon has five equal angles.

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Answer:  max capacity is 1625 gallons.

Diagram is shown below.

=========================================================

Explanation:

We'll draw two horizontal number lines to help make a comparison or connection between percentages and tank capacity.

For the top number line, make 5 sections with the labels: 0%, 20%, 40%, 60%, 100%. The reason I'm picking 5 is because 40% = 40/100 = 2/5. So having 40% capacity means we're 2/5 full. That denominator 5 tells us how to subdivide each number line.

The bottom number line will also have 5 sections. We only know one label for this bottom portion right now. That label is 650. Place this directly under the "40%". This visually is one way to represent that 650 gallons is 40% filled. See the diagram below.

Cut the 650 in half to get 325. This corresponds to 40% cut in half to get 20%. Therefore, 325 will go under the 20%. Being 20% full means we have 325 gallons of water.

To figure out the 60% portion, we will multiply 325 by 3. This is because 3*20% = 60%, so 3*325 = 975. We'll write "975 gallons" under the "60%"

Then we have 1300 gallons under the 80% since 4*325 = 1300. Note how 4*20% = 80%, so that's where the '4' multiplier comes from.

Finally, we multiply 325 by 5 to get 1625 and that represents the full tank's capacity. Technically we could have just jumped to this directly without having to find the 60% or 80% capacity values, but it's good practice I think.

Again the diagram is shown below. The answer we're after is at the very bottom right corner. It's under the 100% to indicate the tank is completely full, or has reached max capacity.

-----------------------

Here's a way to find the answer without a double number line. This method involves setting up a proportion.

(40% full)/(650 gallons) = (100% full)/(x gallons)

40/650 = 100/x

40x = 650*100

40x = 65000

x = 65000/40

x = 1625

We confirm that the tank's max capacity is 1625 gallons.

To find a recursive Nevill's method when interpolating a table using a polynomial at x = 4.1, we can use the following steps:

Step 1: Set up the given data in a table with two columns, one for f(x) and the other for x.

f(x)             x

36               1.16164956

3.80201036       4.0

0.30663842       4.2

0.35916618       -123926000.4

Step 2: Begin by finding the first-order differences in the f(x) column. Subtract each successive value from the previous value.

Δf(x)            x

-32.19798964     1.16164956

-3.49537194      4.0

-0.05247276      4.2

Step 3: Repeat the process of finding differences until we reach a single value in the Δf(x) column. Continue subtracting each successive value from the previous one.

Δ^2f(x)          x

29.7026177       1.16164956

3.44289918       4.0

Step 4: Repeat Step 3 until we obtain a single value.

Δ^3f(x)          x

-26.25971852     1.16164956

Step 5: Calculate the divided differences using the values obtained in the previous steps.

Divided Differences:

Df(x)             x

36                1.16164956

-32.19798964     4.0

29.7026177       4.2

-26.25971852     -123926000.4

Step 6: Apply the recursive Nevill's method to find the interpolated value at x = 4.1 using the divided differences.

f(4.1) = 36 + (-32.19798964)(4.1 - 1.16164956) + (29.7026177)(4.1 - 1.16164956)(4.1 - 4.0) + (-26.25971852)(4.1 - 1.16164956)(4.1 - 4.0)(4.1 - 4.2)

Solving the above expression will give the interpolated value at x = 4.1.

Q2: To construct an approximation polynomial using the Hermite method, we follow these steps:

Step 1: Set up the given data in a table with three columns: f(x), f'(x), and x.

f(x)             f'(x)              x

2.572152         7.615964          1.2

3.602102         13.97514          1.3

5.797884         34.61546          1.4

14.101442        199.500           1.5

Step 2: Calculate the divided differences for the f(x) and f'(x) columns separately.

Divided Differences for f(x):

Df(x)            \(D^2\)f(x)           \(D^3\)f(x)

2.572152         0.51595           0.25838

Divided Differences for f'(x):

Df'(x)           \(D^2\)f'(x)

7.615964         2.852176

Step 3: Apply the Hermite interpolation formula to construct the approximation polynomial.

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Answer: £3200000

Step-by-step explanation:

£1000 is 100%, so 5000% is x50 (5000/100) of £1000 which is £50000. Then 64x50000 is 3 200 000. Therefore you will make £3200000 from 64 piece of wood

By translating the pre-image triangle CRT with this translation rule (x, y) →  (x + 2, y - 4), the coordinates of the image triangle C'R'T' are: C' (-2, -2), R' (-3, -5), and T' (3, -3).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or parent function.

Note: Each interval on this graph represents 1 unit.

Next, we would transform triangle CRT by using this translation rule (x, y) →  (x + 2, y - 4) to create the vertices of triangle C'R'T' as follows:

(x, y)                    →        (x + 2, y - 4)

Point C (-4, 2)     →       Point C' = (-4 + 2, 2 - 4) = (-2, -2)

Point R (-5, -1)     →       Point R' = (-5 + 2, -1 - 4) = (-3, -5)

Point T (1, 1)         →       Point T' = (1 + 2, 1 - 4) = (3, -3)

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The magnitude of the x-component of this vector is 9.05m.

The angle of inclination of the vector is calculated as;

θ = 90 ⁰ - 48.4 ⁰

θ = 41.6 ⁰

The magnitude of the x-component of the vector is calculated as;

Vx = 12.1 m x cos ( 41.6 )

Vx = 9.05 m

A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.

Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.

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Complete Question:-

On solving the provided question we can say that differential equation y' – 2y = \(3e^t\) and the derivatives will be y' = \(3e^t - 2y\) => \(y' = 9t\)

The derivative of a function with real variables in mathematics gauges how sensitively the function's value will change in response to changes in its arguments. Calculus's fundamental tools are derivatives. Differentiation (in mathematics, the rate of change of a function with respect to a variable) (in mathematics, the rate of change of a function with respect to a variable). Calculus and differential equation problem-solving depend heavily on derivatives. Finding the "slope" of a specific function is the definition of "derivative" or "taking a derivative" in calculus. Because it is often the slope of a straight line, the slope should be enclose in quotations. While applying to practically every function, derivatives are measures of rate of change.

differential equation y' – 2y = \(3e^t\)

the derivatives will be

y' = \(3e^t - 2y\)

\(y' = t3^2\\y' = 9t\)

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Answer:

infinite solutions

Step-by-step explanation:

8(j-4)=2(4j-16)

Distribute

8j - 32 = 8j - 32

Subtract 8j from each side

8j-8j -32 = 8j-8j -32

-32 = -32

This is always true so there are infinite solutions

Answer:

All Real Numbers Are Solutions

Explanation:

8(j − 4) = 2(4j − 16)

[ Simplify both sides of the equation ]

8(j − 4) = 2(4j − 16)

(8)(j) + (8)(−4) = (2)(4j) + (2)(−16) (Distribute)

8j + −32 = 8j + −32

8j − 32 = 8j − 32

[ Subtract 8j from both sides ]

8j − 32 − 8j = 8j − 32 − 8j

−32 = −32

[ Add 32 to both sides ]

−32 + 32 = −32 + 32

0 = 0

Therefore, all real numbers are solutions.

Answer:

8

Step-by-step explanation:

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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All five brothers combined have $20.00 using algebraic equation.

To solve this problem, we first need to find out how much money Peter and his brothers have combined. We know that 30% of the total money is Peter's, so we can use that to find the total amount of money. If $6.00 is 30% of the total, then we can set up an equation:

0.30x = 6.00

To solve for x, we can divide both sides by 0.30:

x = 20.00

This means that the total amount of money that Peter and his brothers have combined is $20.00.

To find out how much each brother contributed, we can divide the total by the number of brothers:

20.00 / 5 = 4.00

So each brother contributed $4.00 to the purchase of the video game.

Therefore, all five brothers combined have $20.00. It is important to remember that in order to find out how much each person contributed, we need to divide the total amount by the number of people involved. In this case, since there were five brothers, we divided the total by 5 to get the individual contribution of $4.00 per brother.

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