-2a=12-4a how do you solve this ?

The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).

To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.

Substitute 0 for y in the equation.0 = 3x - 1

Add 1 to both sides1 = 3x

Divide both sides by 3x = 1/3

The x-intercept of the line is (1/3, 0).

To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.

Substitute 0 for x in the equation.y = 3(0) - 1y = -1

The y-intercept of the line is (0, -1).

Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).

Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.

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Answer:

(3,-4)

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

it's going right 6 so its increasing and going down it's decreasing by 3

Answer:

Each x-coordinate decreased by 6, and each y-coordinate increased by 3.

Step-by-step explanation:

The x coordinates went back 6, and the y coordinates went upward by 3.

An equivalent expression for \(6d^(-4) / (21d^7) is 2 / (7d^4)\), or negative \(2 / (7d^3)\) if you prefer to write the exponent as a negative power.

To simplify the expression \(6d^{(-4) }/ (21d^7),\) you can first cancel out common factors between the numerator and denominator. Both 6 and 21 can be divided by 3, and\(d^{(-4)\) and \(d^7\) can be simplified using the rule that a negative exponent means the reciprocal of the corresponding positive exponent:

\(6d^{(-4) }/ (21d^7) = (2d^7) / (7d^{11})\)

This expression can be further simplified by factoring out a 2 from the numerator:

\((2d^7) / (7d^{11}) = 2 / (7d^{(11-7)}) = 2 / (7d^4)\)

Therefore, an equivalent expression for \(6d^(-4) / (21d^7) is 2 / (7d^4)\), or negative \(2 / (7d^3)\) if you prefer to write the exponent as a negative power.

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The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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How to solve your question-  3 2 − 6

Grouping

Solution-  3 ( − 2 ) ⋅

We have to find the equation of a line with a slope m=-1 and pass through the point (3,5).

Then we will check if it goes through the point (-2,7).

We can write the line equation in slope-point form:

Then, it becomes:

Answer:

2.4

Step-by-step explanation:

12 divided by 5

In order to get it

Answer:

2.4 lbs

also 2lbs 6oz (rounded to the nearest ounce)

Step-by-step explanation:

We are comparing pounds of blueberries to pies.



pounds/pies

= 12pounds/5pies

= 12/5

= 2.4 pounds per pie

Mary used 2.4lbs of blueberries in each pie.

If you need to know the ounces, the .4 part of the 2.4 answer is the ounces. (2 is pounds, .4 is parts of a pound)

There are 16 ounces in a pound.

.4 × 16

= 6.4

2.4 pounds is 2pounds6ounces (rounded to the nearest ounce)

Answer:

-25x +  27

Step-by-step explanation:

-7x+9(-2x+3) =  

-7x-18x+27 =

-25x+27 =

The correct description of the function f: Z → Z, given by f(x) = x + 3, is "Neither one-to-one nor onto."

To determine if the function f is one-to-one, we need to check if each input value (x) has a unique output value (f(x)). In this case, for any integer x, f(x) = x + 3. Since the value of f(x) depends solely on the input value x, different input values can yield the same output value. For example, f(1) = 4 and f(2) = 5, indicating that the function is not one-to-one.

To determine if the function f is onto, we need to check if every possible output value has a corresponding input value. In this case, since f(x) = x + 3, any integer y can be obtained as an output value by choosing x = y - 3. Therefore, every possible integer output has a corresponding input value, making the function onto.

As a result, the function f: Z → Z, defined by f(x) = x + 3, is neither one-to-one nor onto.

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f:Z→Z.f(x)=x+3f:Z→Z.f(x)=x+3

Select the correct description of the function f.

One-to-one and onto

One-to-one but not onto

Onto but not one-to-one

Answer: $962.78

Step-by-step explanation:

Formula of the accumulated amount :  \(A =P(1+r)^t\)

P= Principal amount

r = rate of interest ( in decimal)

t= time ( in years )

Given, P = $775

t= 3 years

r \(=7\dfrac{1}{2}\%=\dfrac{15}{2}\%=7.5\%= 0.075\)

Now, the worth of shares after 3 years would be  \(A = 775(1+0.075)^3\)

\(\\\\ = 775(1.075)^3\\\\= 775\times 1.242296875\\\\=962.78\)

Hence, the worth of the stock = $962.78

The ladder will reach 24.27m far from the base of the wall.

The relationship between a right-angled triangle's three sides is described by Pythagoras' theorem, also referred to as the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the hypotenuse's square is equal to the sum of its two other sides' squares. The angles of a right-angled triangle are referred to as Pythagorean triplets.

The length of the wall can be determined by using the Pythagoras theorem.

c² = a² + b²

c = hypotenuse = ladder = 25ft

a = altitude = wall = ?

b = base = 6ft

Putting the values

25² = a² + 6²

625 - 36 =  a²

a² = 589

a = √589

a = 24.27m

Thus, the ladder will reach 24.27m far from the base of the wall.

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Answer:

Angle C and Y are vertical.

Answer:

32

Step-by-step explanation:

Given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units

To understand how to derive the perimeter of \(\triangle AEC\), recall the following related to centroid of a triangle in reference to the image in the attachment below:

Also, note that:

We're going to apply the above stated facts to solve the problem given since we are told that G is the centroid of the isosceles \(\triangle AEC\):

G = centroid  (given)

AB = 6 units (given)

FA = 5 units (given)

EA = EC (equal sides of isosceles triangle)

EF = FA = 5 units

EA = EF + FA

EA = 5 + 5

EA = 10 units

EC = EA (equal sides of isosceles)

EC = 10 units

AB = CB = 6 units

AC = AB + CB

AC = 6 + 6

AC = 12 units

Perimeter of triangle AEC = AC + EA + EC

Perimeter of triangle AEC = 12 + 10 + 10 = 32 units

Therefore, given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units

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Answer:

radius can't be found of a number. radius is used for geometry. If it is the area of circle, soln is below

Step-by-step explanation:

πr²= 484

r² = 484×7/22

r²=22×7

r = √154

r= 12.409 ans

Answer: D. (5, 4)

Step-by-step explanation:

An x-intercept of -1 means the point = (-1, 0)

So find the slope(m) using the formula: \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

\((x_{1},y_{1})=(-4,-2)\\(x_{2},y_{2})=(-1,0)\\\\m = \frac{0-(-2)}{-1-(-4)}=\frac{0+2}{4-1}=\frac{2}{3}\)

Now find the y-intercept(b) by substituting a point into the function:

y = mx + b

\(y=\frac{2}{3} x+b\\\\0=\frac{2}{3} (-1)+b\\\\0=-\frac{2}{3}+b\\\\b=\frac{2}{3}\)

So now the function is determined as \(y=\frac{2}{3} x+\frac{2}{3}=\frac{2}{3}(x+1)\).

Bring each of the coordinates in to see if it fits in:

A. (-6, -5)  \(\frac{2}{3}(-6+1)=\frac{2}{3}(-5)=-3.33\neq -5\)

B. (3, 2) \(\frac{2}{3}(3+1)=\frac{2}{3}(4)=2.67\neq 2\)

C. (4, 5) \(\frac{2}{3}(4+1)=\frac{2}{3}(5)=3.33\neq 5\)

D. (5, 4) \(\frac{2}{3}(5+1)=\frac{2}{3}(6)=4\)

Answer:

D(5,4)

Step-by-step explanation:

Took Quiz

Answer:

use a algebra caculator

Step-by-step explanation:

Answer:

i dont know i think (-6,0)

Step-by-step explanation:

Answer:

\( {5 }^{2} \)

that is an exponent

Step-by-step explanation:

an exponent is a number at the top right corner of a bigger (physichally) number. Exponents can also be said "to the power". for example 5 to the second power, or power of 2. this just means that instead of multiplying 5 x2 you are multiply 5 x itself the amount of times the exponent tells tou for example 5 x 5 (since my exponent is 2) is 25. so 5 to the second power is 25. and if it said 5 to the power of rhree i would have done 5x5x5 =125

The inequalities of the graph in the question and the solution of the system of inequalities are;

6) y < -2·x + 4, y ≥ (1/2)·x - 1

7) The option that is a solution of the system of inequalities is option d

d) (0, -1)

A system of inequalities is a set of two or more inequalities that have common variables.

6) The points on the graph are; (0, 4), (2, 0)

The slope of the graph is; m = -4/2 = -2

The inequality is; y < -2·x + 4

The points on the second inequality are; (0, -1), (2, 0)

The slope is; m = 1/2

The inequality is; y ≤ (1/2)·x - 1

7) The points on the vertices of the solution which is the feasible region obtained from the graph are; (0, -1), (2, 0), (0, 4)

Therefore, the point that is a solution of the system of inequalities from the options is the point (0, -1)

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Answer:

Step-by-step explanation:

Use KCF method.

K- keep the first number

C - change the operation from division to multiplication.

F - flip the second number

\(6\dfrac{3}{4}\) ÷ 2 = \(\frac{27}{4}\) ÷ 2

            \(=\dfrac{27}{4}*\dfrac{1}{2}\\\=\dfrac{27}{8}\\\\=3\dfrac{3}{8}\)

To solve this problem, we can use the binomial probability distribution. Let's define a "success" as scoring a goal and a "failure" as missing a goal.

Then, each attempt by Sky can be considered a Bernoulli trial with probability of success p = 1/2.

Let X be the number of goals that Sky scores in five attempts. Then, X follows a binomial distribution with parameters n = 5 and p = 1/2.

To find the probability that Sky scores at least two goals, we need to calculate the probability of the following events:

P(X ≥ 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

We can use the binomial probability formula to calculate these probabilities:

P(X = k) = (n choose k) * \(p^k\) *\((1-p)^(n-k)\)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n distinct items.

Using this formula, we get:

P(X = 2) = (5 choose 2) * \((1/2)^2\) * \((1/2)^3\) = 10/32

P(X = 3) = (5 choose 3) * \((1/2)^3\) * \((1/2)^2\) = 10/32

P(X = 4) = (5 choose 4) * \((1/2)^4\) *\((1/2)^1\) = 5/32

P(X = 5) = (5 choose 5) * \((1/2)^5\) * \((1/2)^0\) = 1/32

Therefore, the probability that Sky scores at least two goals is:

P(X ≥ 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = (10 + 10 + 5 + 1)/32 = 26/32 = 13/16

So the probability that Sky scored at least two goals is 13/16.

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The total probability of scoring 1 goal is 5 * (1/32) = 5/32.Now we find the complementary probability:1 - (Probability of 0 goals + Probability of 1 goal) = 1 - (1/32 + 5/32) = 1 - 6/32 = 26/32.

Sky attempted to score a goal five times. For each attempt, she was equally likely to make a goal or miss. So the probability that Sky scored at least two goals is 13/16.

To find the probability that Sky scored at least two goals, we can use complementary probability, which means finding the probability that she scored fewer than two goals (either 0 or 1 goal) and subtracting that from 1.1.

Probability of scoring 0 goals: Since there are 5 attempts and she is equally likely to make a goal or miss (1/2 chance for each), the probability of missing all 5 is (1/2)^5 = 1/32.2.

Probability of scoring 1 goal: Sky could score in any of the 5 attempts, so we need to consider all possible ways of scoring one goal.

There are 5 ways (score in the 1st, 2nd, 3rd, 4th, or 5th attempt). The probability for each of these scenarios is (1/2)^5 = 1/32.

Therefore, the total probability of scoring 1 goal is 5 * (1/32) = 5/32.Now we find the complementary probability:1 - (Probability of 0 goals + Probability of 1 goal) = 1 - (1/32 + 5/32) = 1 - 6/32 = 26/32.

To express this as a common fraction, we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:26/32 = (26/2) / (32/2) = 13/16So the probability that Sky scored at least two goals is 13/16.

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To find an equation of the plane that passes through the point (-1, 3, 3) and contains the line of intersection of the planes x+y-2z=5 and 2x-y+4z=3, we can follow these steps:

Step 1: Find the direction vector of the line of intersection of the given planes.

To find the direction vector, we need to find a vector that is orthogonal (perpendicular) to the normal vectors of both planes.

The normal vector of the first plane x+y-2z=5 is (1, 1, -2).

The normal vector of the second plane 2x-y+4z=3 is (2, -1, 4).

Taking the cross product of these two vectors gives us the direction vector: (-12, -9, -3).

Step 2: Use the point (-1, 3, 3) and the direction vector (-12, -9, -3) to form the equation of the plane.

The equation of a plane can be written as Ax + By + Cz = D, where (A, B, C) is the normal vector of the plane.

Plugging in the point (-1, 3, 3), we get: -12(x + 1) - 9(y - 3) - 3(z - 3) = 0.

Simplifying the equation gives us: -12x - 9y - 3z - 12 + 27 - 9 = 0.

Combining like terms, we get: -12x - 9y - 3z + 6 = 0.

Multiply the equation by -2 to get all positive coefficients: 24x + 18y + 6z - 12 = 0.

Therefore, an equation of the plane that passes through the point (-1, 3, 3) and contains the line of intersection of the planes x+y-2z=5 and 2x-y+4z=3 is 24x + 18y + 6z - 12 = 0.

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To fill the wooden box with potting soil precisely up to two-thirds of its capacity, Benito requires a volume of 3,584 cubic inches.

The volume of soil that Benito needs to fill the box two-thirds full can be calculated by finding two-thirds of the total volume of the box.

The volume of the box can be calculated by multiplying the width, height, and length:

16 inches (width) x 12 inches (height) x 28 inches (length) = 5,376 cubic inches.

Two-thirds of this volume can be found by multiplying the total volume by 2/3:

5,376 cubic inches x 2/3 = 3,584 cubic inches.

Therefore, Benito needs 3,584 cubic inches of potting soil to fill the box exactly two-thirds full.

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Answer:

c.1

Step-by-step explanation:

Using the formula for the confidence interval and provided value for mean and the upper interval. The answer is 0.05.

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

The alpha value is 0.025, and the associated critical value is 1.96 for a two-tailed 95% confidence interval. This indicates that we can subtract 1.96 standard deviations from the mean, or the mean, to determine the upper and lower boundaries of the confidence interval.

sample mean = 0.17

upper limit = 0.29

upper limit = sample mean + margin

margin = 0.29-0.17 = 0.12

lower limit = sample mean - margin

=0.17-0.12 = 0.05

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The major branch of statistics that deals with making inferences about a population based on a sample is called inferential statistics.

In this scenario, you collected data from a sample of eight classmates and calculated the average score to be 65.

Based on this sample, you made an inference about the entire class, stating that the average test score for the whole class was less than 70. This inference is an example of using inferential statistics. Inferential statistics allows us to draw conclusions and make predictions about a larger population based on a smaller sample.

By using statistical techniques and assumptions, we can estimate parameters, such as the population mean, using sample statistics. This helps us make informed decisions and generalizations about a population when it is not feasible or practical to collect data from the entire population.

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The Taylor series for f (n)(9) = (−1)nn! 3n(n 1) centered at 9 is  ∑[n=0 to ∞] (-1)ⁿ 3ⁿ (x-9)ⁿ (ⁿ+¹).

Using Taylor's formula with the remainder in Lagrange form, we have

f(x) = ∑[n=0 to ∞] (fⁿ(9)/(n!))(x-9)ⁿ + R(x)

where R(x) is the remainder term.

Since fⁿ(9) = (-1)^n n!(n+1)3ⁿ, we have

f(x) = ∑[n=0 to ∞] (-1)ⁿ 3ⁿ (x-9)ⁿ (n+1)

To find the radius of convergence, we use the ratio test:

lim[n→∞] |(-1)ⁿ 3(ⁿ+¹) (ⁿ+²)/(ⁿ+¹) (ˣ-⁹)| = lim[n→∞] 3|x-9| = 3|x-9|

Therefore, the series converges if 3|x-9| < 1, which gives us the radius of convergence:

r = 1/3

So the Taylor series for f centered at 9 is

f(x) = ∑[n=0 to ∞] (-1)ⁿ 3ⁿ (x-9)ⁿ (ⁿ+¹)

and its radius of convergence is r = 1/3.

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