Someone please help me

Answer: The first step would be to divide both sides by 5/6 to isolate x.

Answer:

Your answer is: x = 7/10

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

The option that is not a factor that affects your auto insurance premiums is; C: The Colour of your Car

The amount you'll pay for car insurance is determined by a number of  factors. Now, the factors that mainly determines the bottom line on your auto policy include;

Now, looking at the various factors and comparing to the given options, the only odd one out is the colour of your car.

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The color of your car is not a factor that affects your auto insurance premiums.

Option C is the correct answer.

Auto insurance premiums are calculated based on a variety of factors, including the year, make, and model of your car, where you live, your driving history, your age, and the overall value of your car.

We have,

Insurance companies use statistical models to assess the risk associated with insuring a particular driver and car, and these models take into account a wide range of factors that are known to impact accident rates and insurance claims.

However, the color of your car is not typically considered a significant factor in determining insurance premiums.

While some people believe that red cars or other bright colors may be more likely to get pulled over or be involved in accidents, there is little evidence to support this idea.

Insurance companies are more concerned with the make and model of your car, as well as other factors that are known to impact risk.

Thus,

The color of your car is not a factor that affects your auto insurance premiums.

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Multiply the perimeter of the original figure by the scale factor

Answer:

x = 7

Step-by-step explanation:

To get rid of the x^2, do the opposite of x^2: radicals, or square roots.

x^2 = 121

x = √121

Think about what number can multiply by itself to get 121...

7 • 7 or 7^2 = 121

So, in x^2 = 121, x = 7.

x^2 = 121

x = √121

7 = √121

7 = 7 ✔

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Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Given:

She is required to read a total = \(10\dfrac{5}{6}\) hours a week.

Monday she read \(1\dfrac{1}{3}\) hours.

Tuesday she read \(\dfrac{3}{4}\) of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = \(10\dfrac{5}{6}\) hours a week.

Total time she already read \(=1\dfrac{1}{3}+\dfrac{3}{4}+3\) hours

                                              \(=\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3\) hours

                                              \(=\dfrac{4}{3}+\dfrac{3}{4}+3\) hours

                                              \(=\dfrac{16+9+36}{12}\) hours

                                              \(=\dfrac{61}{12}\) hours

Now,

Remaining time = Total time - Total time she already read

                         \(=10\dfrac{5}{6}-\dfrac{61}{12}\)

                         \(=\dfrac{65}{6}-\dfrac{61}{12}\)

                         \(=\dfrac{130-61}{12}\)

                         \(=\dfrac{69}{12}\)

                         \(=\dfrac{23}{4}\)

                         \(=5\dfrac{3}{4}\)

Therefore, the required time is  \(5\dfrac{3}{4}\) hours.

Given that of the new books the new books the new liberian ordered;

-1/3 are science

-2/5 are biography

Let s, b and f represent the fraction of science, biography and fiction of the new book.

substituting the values of s and b given;

Answer:

There are no choices. You forgot to add them mate

Step-by-step explanation:

Answer:

We need the answers to choose from

Step-by-step explanation:

You forgot to attach the answers :-)

A)√500 is the correct answer.

It is an expression that has the same value but does not look the same. If you simplify an expression, you're  trying to write it in the simplest way possible.

According to the question,

The given expression is 10√5.

By computing the number out of the square root,

So,

\(=10 \sqrt{5} \\=\sqrt{10^2(5)} \\=\sqrt{100 (5)} \\=\sqrt{500}\)

Therefore,

The equivalent expression for 10√5 is √500.

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Answer:

y=mx+b

y=-4x +12 is your equation

m= yo

your slope

Step-by-step explanation:

Answer:

The equation of the line that passes through the points (-1,8) and (2,-4) is:

Step-by-step explanation:

Given the points

\(\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:-4\right)\)

\(m=\frac{-4-8}{2-\left(-1\right)}\)

\(m=-4\)

As the point-slope form of the line equation is

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope.

substituting the values m = -4 and the point (-1,8)

\(y-\(8\right=-4\left(x-\left(-1\right)\right)\)

\(y-8 = -4(x+1)\)

Add 8 to both sides

\(y-8+8=-4\left(x+1\right)+8\)

\(y=-4x+4\)

Therefore, the equation of the line that passes through the points (-1,8) and (2,-4) is:

The values of w typically vary, on average, from the mean of the distribution about 3.46.

The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.

For a geometric(p = 0.25) distribution, the variance is computed here as:

Var(X) = (1 - p)/ p2 = (1 - 0.25) / 0.252 = 12

Therefore, the standard deviation is computed as:

= ✓(12) = 3.46 observations.

This is the standard deviation of the given distribution here.

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By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.

Checking for Rational Roots

Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).

The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).

Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:

Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).

Attempt 2: Factoring by Grouping

Rearranging the terms, we have:

Factoring out common factors, we obtain:

Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:

Therefore, the fully factored form of \(f(x) = -4x⁴  + 26x³  - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).

Solutions to the polynomial equations:

Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +

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The equation of the parabola in factored form is: y = 16(z - 1/2)(z - 8)

What is parabola?

A parabola is a symmetrical plane curve that is shaped like an arch. It is a quadratic function and is defined by the equation y = ax² + bx + c, where a, b, and c are constants.

Ryan's reasoning is justified because the z-intercepts of a parabola are the points where the parabola intersects the z-axis, which are the points where x = 0. Therefore, if the parabola can be expressed in the form y = a(x + 1)(x - 4), then its z-intercepts are at x = -1 and x = 4. This is because when x = -1, (x + 1) = 0 and when x = 4, (x - 4) = 0, which makes y = 0, indicating that the parabola intersects the z-axis at these two points.

To find the value of a, we need to use the given information that the y-intercept of the parabola is at (0, 2). Substituting x = 0 and y = 2 into the equation y = a(x + 1)(x - 4), we get:

2 = a(0 + 1)(0 - 4)

2 = -4a

Therefore, a = -1/2. So the equation of the parabola is y = (-1/2)(x + 1)(x - 4), in factored form.

To find the equation of the parabola in factored form y = a(z-p)(z-g), we can use the given information about its intercepts and symmetry axis. Since the symmetry axis is parallel to the y-axis, the parabola is of the form y = a(z - h)² + k, where (h, k) is the vertex. We know that the a-intercepts are -2 and 3, which means that the points (-2, 0) and (3, 0) lie on the parabola. Substituting these points into the equation, we get:

0 = a(-2 - h)² + k

0 = a(3 - h)² + k

Solving for h and k, we get:

h = 1/2

k = 4

Therefore, the vertex is at (1/2, 4), and the equation of the parabola is:

y = a(z - 1/2)² + 4

We can find the value of a by using the fact that the y-intercept is 4. Substituting z = 0 and y = 4, we get:

4 = a(0 - 1/2)² + 4

4 = a(1/4)

a = 16

Therefore, the equation of the parabola in factored form is:

y = 16(z - 1/2)(z - 8), which is sometimes referred to as intercept form because it explicitly shows the intercepts of the parabola on the z-axis.

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2x−5y =−7

2x−5y+5y =−7+5y (Add 5y to both sides)

2x=5y−7
2x/2 = 5y−7/2 (Divide both sides by 2)

x=5/2 y+ −7/2

I gave up

X=-1

Y=1

The correct statement regarding the variation of the two measures is given as follows:

C. Yes, they vary directly. When one quantity increases, the other quantity also increases.

For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.

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Answer:

15200 cm²

Step-by-step explanation:

from inspection of the diagram, we can see that the prism comprises:

Triangle

Area of triangle = 1/2 x base x height

Given:

⇒ area = 1/2 x 60 x 40 = 1200 cm²

Base rectangle

Area of a rectangle = width x length

Given:

⇒ area = 60 x 80 = 4800 cm²

Side rectangle

Area of a rectangle = width x length

Given:

⇒ area = 50 x 80 = 4000 cm²

Total area = 2 triangles + base rectangle + 2 side rectangles

⇒ total area = (2 x 1200) + 4800 + (2 x 4000) = 15200 cm²

Step-by-step explanation:

h o g   =   6 ( x^2 + x - 2)   + 1

             = 6x^2 + 6x -12 + 1

             = 6x^2 + 6x -11              put in -7 for 'x'

                  6 (-7^2) + 6 (-7) - 11

               = 241

* * * edited * * *

The Union of South American Nations (UNASUR) is not a regional alliance.

What is the Union of South American Nations?

The Union of South American Nations was formed in 2008 to further the interests of South American nations. It was an intergovernmental union and that was meant to bring more prosperity to the region.

There are also plans to make UNASUR a single-currency union. The Union of South American Nations was never meant to be a regional alliance however.

complete question is

the union of south american nations (unasur) is considered all of the following except (5 points) group of answer choices a supranational organization an intergovernmental union a single-currency union a regional alliance

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The length of WY  is 4.9.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From two triangles the proportional sides are

11.1/5.55=8/4=9.8/WY

2=2=9.8/WY

So 2=9.8/WY

WY=9.8/2

WY=4.9

Hence, the length of WY  is 4.9.

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Answer:

\(x^\frac{9}{5}\)

Step-by-step explanation:

\(\sqrt[5]{x}\) is the same thing as \(x^{\frac{1}{5}}\).

Now if we have \(x^{\frac{1}{5}}\) to the power of 9, the exponents are multiplied.

\(x^{\frac{1}{5} \cdot9} = x^{\frac{9}{5} }\).

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Therefore, the point on the graph of the function where the slope of the tangent line is -3 is approximately (-7/16, -123/16).

To find the point on the graph of the function \(f(x) = 8x^2 + 4x - 9\) where the slope of the tangent line is -3, we need to find the x-coordinate of that point and then evaluate the corresponding y-coordinate.

First, we find the derivative of the function f(x) to determine the slope of the tangent line at any point:

\(f'(x) = d/dx(8x^2 + 4x - 9) = 16x + 4\)

We set the derivative equal to -3 and solve for x:

16x + 4 = -3

16x = -3 - 4

16x = -7

x = -7/16

Next, we substitute the value of x into the original function to find the corresponding y-coordinate:

\(f(x) = 8x^2 + 4x - 9\)

\(f(-7/16) = 8(-7/16)^2 + 4(-7/16) - 9\)

f(-7/16) = 49/16 - 7/4 - 9

f(-7/16) = 49/16 - 28/16 - 144/16

f(-7/16) = -123/16

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Answer:

6

Step-by-step explanation:

You have to divide 24 by four.

a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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Answer:

There are two possible coordinates for A:  Either A (-5, 10) or A (-5, -6)

Step-by-step explanation:

To find the possible coordinates of A, we will need to find the possible y-coordinate.

We can do this using the distance (d) formula, which is

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where (x1, x2) are one set of coordinates and (y1, y2) are the other set of coordinates

We can allow point B (1, 2) to be our x1 and x2 coordinates and A (-5, y2) to be our x2 and y2.  Thus, we must plug into the formula 10 for d and solve for y2:

\(10=\sqrt{(-5-1)^2+(y_{2}-2)^2}\\ 10=\sqrt{(-6)^2+(y_{2}-2)^2}\\ 10=\sqrt{36+(y_{2}-2)^2}\\ 100=36+(y_{2}-2)^2\\64=(y_{2}-2)^2\\\)

To finish solving, we must take the square root of both sides.  Whenever you take a square root, there is both a positive answer and a negative answer, since squaring a negative number also yields a positive number (e.g., 5 * 5 = 25 and -5 * -5 = 25):

Positive answer:

\(8=y_{2}-2\\10=y_{2}\)

Negative answer:

\(-8=y_{2}-2\\-6=y_{2}\)

To check our answers, we can plug in both 10 for y2 into the formula and -6 for y2 into the formula and check that we get 10 each time:

Plugging in 10 for y2:

\(10=\sqrt{(-5-1)^2+(10-2)^2}\\ 10=\sqrt{(-6)^2+(8)^2}\\ 10=\sqrt{36+64}\\ 10=\sqrt{100}\\ 10=10\)

Plugging in -6 for y2:

\(10=\sqrt{(-5-1)^2+(-6-2)^2}\\ 10=\sqrt{(-6)^2+(-8)^2}\\ 10=\sqrt{36+64}\\ 10=\sqrt{100}\\ 10=10\)

Thus, the two possible coordinates of A are (-5, 10), where 10 is the y-coordinate or (-5, -6), where - 6 is the y-coordinate.

Answer:

-5, - 2, 3

Step-by-step explanation:

y=2x+3, y=-7, x=-5; y=-1, x=-2, y=9, x=3

Answer:

AC = 24

Step-by-step explanation:

In a rectangle, the diagonals are the same so AC = BB

3x - 9 = x + 13

3x - x = 13 + 9

2x = 22

x = 11

AC = 3x - 9 = 3(11) - 9 = 33 - 9 = 24

77 is the third quartile, by using the median formula.

For the third quartile, we need to organize the given scores

74, 73, 77, 77, 71, 68, 65, 77, 67, 66.

In ascending order. 65, 66, 67, 68, 71, 73, 74, 77, 77, 77

We have 10 scores, which means there is no middle score in this data set, so we cannot use the formula:

Q₂ = Median of the data set.

Instead, we can use the following steps to find the third quartile.

The median of the first five scores is 67.

The median of the last five scores is 77.

The median of the entire data set is the value that lies halfway between the fifth and sixth values.

67, 68, 71, 73, 74 | 77, 77, 77

The median is (73 + 74) / 2 = 73.5

Thus, the third quartile is 77.

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After 35 minutes there will be 40 bacteria remaining.

The process of a constant percentage rate decrease in an amount over time is referred to as "exponential decay." The formula to calculate exponential decay is given as, \(N_t=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{1/2}}}\). Here, Nt is the quantity after time t, N0 is the initial quantity, t1/2 is the half-life, and t is time.

For the first situation, Nt=360, N0=900, t=10 minutes. Therefore, substituting the given values get the value of t1/2. So,

\(\begin{aligned}360&=900\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}} \\\frac{360}{900}&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\0.4&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\ \ln(0.4)&=\frac{10}{t_{1/2}}\ln(0.5)\\t_{1/2}&=10\times\frac{\ln(0.5)}{\ln(0.4)}\\&=7.6\end{aligned}\)

Now, for the second situation,  Nt=40.  We have to find the time at which there will be 40 bacteria remaining. Then,

\(\begin{aligned}40&=900\left(\frac{1}{2}\right)^{t/7.6}\\0.04&=\left(\frac{1}{2}\right)^{t/7.6}\\\ln(0.04)&=\frac{t}{7.6}\ln(0.5)\\t&=7.6\times\frac{\ln(0.04)}{\ln(0.5)}\\&=7.6\times4.64\\&=35.26\\&\approx35\end{aligned}\)

The answer is 35 minutes.

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