Find the value of x. Then find the measure of each labeled angle

The product of the two equation in which one is binomial equation another quadratic equation,  is 12a³+2a²+23a+18.

To multiply the two equation, each term of the first equation is multiples from the second term.

The first equation given in the problem is,

\(3a+ 2\)

The second equation given in the problem is,

\(4a^2 -2a+ 9\)

The product of these two equations are,

\(p=(3a+2)\times (4a^2 -2a+ 9)\\p=12a^3-6a^2+27a+8a^2-4a+18\\p=12a^3+2a^2+23a+18\)

Hence, the product of the two equation in which one is binomial equation another quadratic equation,  is 12a³+2a²+23a+18.

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Answer: D:   12a^3 + 2a^2 + 23a + 18

Step-by-step explanation: got it right :)

Answer:

\(y = x + 2\)

Step-by-step explanation:

y=x+2

22 units

it's 4 on the y side and 7 on the x side

7 + 4 = 11 x 2 = 22

Use the Pythagorean Theorem to relate the lengths of the legs of the right triangle on the picture to the length of the hypotenuse:

Solve for a:

Therefore, the value of a is:

The tree in Naomi's backyard lost 120 leaves in 12 days. Therefore, the required expression is A. 120÷12

Hope this helps :)

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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Answer:

Step-by-step explanation:

-x-3y-3z=16

x=-3y-3z-16

-6x+3y+2z=-27

6x=3y+2z+27

x=3/6 y + 2/6 z +27/6

x=1/2y+1/3z+9/2

4x+6y+4z=-22

4x=-6y-4z-22

x= -6/4y -4/4 z -22/4

x=-3/2y -z-11/2

Answer:

(x, y, z) = (2,-3,-3)

Step-by-step explanation: 4x+6y+4z = -22 Divide both sides by = 2x + 3y+2z= -11

To solve the system , rewrite it as two systems each consisting of two equations.

1) {-x-3y-3z = 16} {-6x+3y+2z = -27}

2) {-x-3y-3z=16} {2x+3y+2z=-11}

Solve the system of equations

1) -7x-z=-11

2)x-z=5

Write as a system of equations

{-7z-z=-11} {x-z=5}

Solve the system of equations

z = -3

x= 2

Substitute the given value of z, x into the equation : -x-3y-3z = 16

-2-3y-3x(-3)= 16

Solve for Y

y= -3

Answer:

2

Step-by-step explanation:

\(\dfrac{-8(17-12)}{-2(8-(-2))}= \\\\\\\dfrac{-8(5)}{-2(10)}= \\\\\\\dfrac{-40}{-20}= \\\\\\2\)

Hope this helps!

Answer:

\( 132 \pi \: cubic\: cm\)

Step-by-step explanation:

\(V_{cone} = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \times \pi \times {6}^{2} \times 11 \\ \\ = \frac{1}{3} \times \pi \times 36 \times 11 \\ \\ = \pi \times 12 \times 11 \\ \\ = 132\pi \: {cm}^{3} \)

Answer:

29.25

Step-by-step explanation:

15x1.95= 29.25

Hope this helps :)

if 1 article = 1.95

then if u want to find how much 15 articles = to

you just have to multiply 1.95 * 15 which is equal to 29.25

hope this helps

:)

Answer:

$11.99

Step-by-step explanation:

Answer:

Rule (where m is months, and t is total saved): 200 + 30m = t

After 12 months: $560

Step-by-step explanation:

So, we start with $200, and we save $30 each month. Let's call 'month' M.

And we can just use t to stand for total

The arithmetic rule would be: 200 + 30m = t

Alrighty, let's plug in 12 for our m value

200 + 30(12) = t

200 + 360 = t

t = $560

Answer:

\($x_{1}=\frac{3}{2}+\frac{i}{2}\\$\)

\($x_{2}=\frac{3}{2}-\frac{i}{2}$\)

Step-by-step explanation:

It is a Quadratic Equation

\(2x^2-6x+5=0\)

Once it cannot be easily factored, you solve it using the quadratic formula or completing the square. I will use the quadratic formula.

\($x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$\)

\($x=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot 2\cdot 5}}{2\cdot 2}$\)

The discriminant is negative, therefore we got complex solutions.

\(\Delta= \sqrt{-4}= \sqrt{4i} =2i\)

\($x=\frac{6\pm 2i}{4}$\)

\($x_{1}=\frac{3+i}{2} $\)

\($x_{2}=\frac{3-i}{2} $\)

Now, just rewrite the roots in standard complex form

\($x_{1}=\frac{3}{2}+\frac{i}{2}\\$\)

\($x_{2}=\frac{3}{2}-\frac{i}{2}$\)

The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263

The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.

Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.

So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is

Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today

Experimental probability = 20 / 76

Experimental probability = 0.263

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the common ratio of the geometric sequence 24, −6, 32, −38, ... is -1.5.

The common ratio for the geometric sequence 24, −6, 32, −38, ... is -1.5.What is a geometric sequence?A geometric sequence is a sequence in which each term after the first is found by multiplying the preceding term by a fixed number. It is a sequence in which each term is obtained by multiplying the previous term by a constant value or ratio.In a geometric sequence, the ratio between any two consecutive terms is the same. The nth term of a geometric sequence can be represented as an = a1rn-1, where a1 is the first term, r is the common ratio, and n is the number of terms.Using the given terms 24, −6, 32, −38, ...The ratio between the second term and the first term is given as : (-6)/24 = -1/4Similarly, the ratio between the third term and the second term is given as: 32/(-6) = -16/3The ratio between the fourth term and the third term is given as: (-38)/32 = -19/16So, the sequence is not a constant ratio because the ratios are not the same for all of the terms.However, if you observe the ratios, you'll find that the ratio between any two consecutive terms is obtained by dividing the second term by the first term and it's the same as the ratio between the third term and the second term, and it's also the same as the ratio between the fourth term and the third term.

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The system of equations that model the situation is:

4c + 2s+ 3b == $29.51

c + 4s + 2b = $21.83

2c + 5s = $21.93

Simultaneous equations are more than one equation that would have to be solved jointlu in order to determine the required values.

Methods of solving simultaneous equations are:

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Answer:

120960

Multiply the numbers together, Hope this helps :)

Answer:

120,960

Step-by-step explanation:

The equation of the line in point-slope form is y - (-6) = (4/5)(x - 4).

To rewrite the equation y + 4 = −3(x + 1) in Ax + By = C form, we need to first distribute the -3 on the right side, and then move all the terms containing x and y to the left side:

y + 4 = −3x - 3

3x + y = -7

So the equation in Ax + By = C form is 3x + y = -7.

To write the equation of a line in point-slope form, we use the formula:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope of the line. Substituting in the given values, we get:

y - (-6) = (4/5)(x - 4)

Simplifying the right-hand side, we get:

y + 6 = (4/5)x - (16/5)

Subtracting 6 from both sides, we get:

y = (4/5)x - (46/5)

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Answer:

NKKNKND FG

Step-by-step explanation:

The equation of the straight line is y = -2x - 4, the value of x₁ is -1 and the value of y₁ is -2.

To find the equation of a straight line given its slope and one point, we use the point-slope form of the equation:

−y − y₁​ = m(x−x₁ )

where m is the slope of the line, and (x₁, y₁) is the given point.

In this case, m = -2 and the point is (-1, -2). So we have:

x₁ = -1

y₁ = -2

m = -2

Substituting these values into the point-slope form, we get:

y−(−2)=−2(x−(−1))

Simplifying and rearranging terms, we get the equation of the line:

y + 2 = -2x - 2

y = -2x - 4

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Answer:

slope: -3; y-intercept: (0,15)

Step-by-step explanation:

The slope is -3, simply move 3x to the right side for slope intercept form, the y-intercept is where x =0 so set x equalt to zero. 3(0)+y=15, y=15

Answer:

Brainliest Please

Step-by-step explanation:

Answer:

Center: (-3, 2)

Step-by-step explanation:

Vertex 1: (2, 2)

Vertex 2: (-8, 2)

Focus 1: (1, 2)

Focus 2: (-7, 2)

Eccentricity: 4/5

Approximately 32% of students scored above 86 on the university exam.

To determine the percentage of students who score above 86, we can use the 68-95-99.7 rule, also known as the empirical rule or the three-sigma rule.

According to this rule, in a normal distribution:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Given that the mean is 78 and the standard deviation is 8, we can calculate the z-score for 86 using the formula:

z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

z = (86 - 78) / 8 = 1

Since 86 is one standard deviation above the mean, we know that approximately 68% of students scored below 86. Therefore, the percentage of students who score above 86 can be estimated as 100% - 68% = 32%.

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Answer:

one equation is 37+109

Step-by-step explanation:

I hope this helps. I hope this is what you are looking for. I am sorry if it isn't.

Answer:

Data handling refers to the process of collecting, storing, manipulating, and analyzing data. This can include tasks such as inputting data into a computer system, organizing and storing data in a database, cleaning and preprocessing data to make it usable, and performing statistical or other types of analysis on the data. It also includes visualization of data to make it more understandable. Data handling is an important aspect of many fields, such as business, science, and technology, as it allows for the efficient management and analysis of large amounts of information.

Answer:

Data handling is the process of ensuring that research data is stored, archived or disposed off in a safe and secure manner during and after the conclusion of a research project. This includes the development of policies and procedures to manage data handled electronically as well as through non-electronic means .

Answer:

25h

Step-by-step explanation:

Pages read in 1 hour = 25

So pages read in h hours = 25 × h = 25h

The c is equal to half of the definite integral of the function over the interval [0, 2].

To determine c such that f(c) is the average value of the function on the interval [0, 2], we can use the formula for the average value of a function:

avg = 1/(b-a) * ∫(a to b) f(x) dx

In this case, a = 0 and b = 2, so the formula becomes:

avg = 1/2 * ∫(0 to 2) f(x) dx

We want to find the value of c such that f(c) = avg, so we can set these two expressions equal to each other and solve for c:

f(c) = avg
f(c) = 1/2 * ∫(0 to 2) f(x) dx

We can then use calculus to solve for c by finding the derivative of both sides with respect to c and setting them equal to each other:

f'(c) = 1/2 * (f(2) - f(0))

Solving for c gives us:

c = (1/2) * ∫(0 to 2) f(x) dx

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Answer:

(8,0)

Step-by-step explanation

Answer:

A and E

Step-by-step explanation:

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\) ← distance formula

it is important that the x and y coordinates are placed correctly, that is not mixed together.

First version

let (x₁, y₁ ) = X (- 5,  4 ) and (x₂, y₂ ) = Y (7, 15 ) , then

XY = \(\sqrt{(7-(-5)^2+(15-4)^2}\) → A

or

Second version

let (x₁, y₁ ) = Y (7, 15 ) and (x₂, y₂ ) = X (- 5, 4 ) , then

XY = \(\sqrt{(-5-7)^2+(4-15)^2}\) → E