What are the solutions to the equation? x2(x+2)(x+6)=0 Enter your answers in the boxes. x = or x = or x =

Answer:

50%

Step-by-step explanation:

If there's only either a gray piece or a white piece on the spinner and you spun it once, the probability of it landing on gray or white is 50%. But if there are more pieces the answer will be incorrect.

The expression for a in terms of c is \(a^{2}= \sqrt{c^{2} -9}\). The correct option is the third option \(a^{2}= \sqrt{c^{2} -9}\)

From the question, we are to determine the expression for a in terms of c

In the given right triangle, we can write that

\(c^{2} = a^{2} +3^{2}\) (Pythagorean theorem)

Thus,

\(c^{2} = a^{2} +9\)

\(a^{2}= c^{2} -9\)

\(a^{2}= \sqrt{c^{2} -9}\)

Hence, the expression for a in terms of c is \(a^{2}= \sqrt{c^{2} -9}\). The correct option is the third option \(a^{2}= \sqrt{c^{2} -9}\)

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The union of two subspaces of V is a subspace of V if and only if one of the subspaces of v is contained in the other

Let \($V_1, V_2$\) be the two subspaces of V. Suppose \($V_1 \cup V_2$\) is a subspace of V.

Then if \($x_1 \in V_1$\) and \($x_2 \in V_2$\) then we must have \($x_1 \in V_1 \cup V_2$\) and\($x_2 \in V_1 \cup V_2$\) so that we must have \($x_1+x_2 \in V_1 \cup V_2$\).

If and only if one of the subspaces is contained in the other, the union of the two subspaces is a subspace.

But this by definition means \($x_1+x_2 \in V_1$\) or \($x_1+x_2 \in V_2$\). Either way, by the existence of additive inverses and the closure properties for the subspaces we have:

\(\left(x_1+x_2\right)+\left(-x_1\right) \in V_1\)

Or

\(\left(x_1+x_2\right)+\left(-x_2\right) \in V_2\)

By the associative/commutative properties, we have:

\(x_2 \in V_1 \text {, or, } x_2 \in V_1\)

Thus we have shown if \($x_1 \in V_1$\) and \($x_2 \in V_2$\) then \($x_1 \in V_2$\) or \($x_2 \in V_1$\). If \($x_1 \in V_2$\) for all \($x_1 \in V_1$\) then we have \($V_1 \subseteq V_2$\). If \($x_2 \in V_1$\) for all \($x_2 \in V_2$\) then \($V_2 \subseteq V_1$\). In either case, we see one subspace is a subset of the other.

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Answer:

minus it

Step-by-step explanation:

Answer:

7x - 8 = 4 + 3x

hope this helps

The rotation of the image given 180° clockwise around the point (-2, 1) gives the image in the second option.

Rotation is a kind of geometric transformation where a figure or point is rotated by a certain degrees about a given point.

The coordinates of the given image are :

(-1, 1), (-2, 1), (-1, 4) and (-2, 4).

Point of rotation is (-2, 1).

The points are not rotated around the origin.

To make it seem like around the origin, subtract the point of rotation from the points.

So the new points are :

(1, 0), (0, 0), (1, 3) and (0, 3)

Now rotate the image with the new coordinates around the origin 180° clockwise.

Rotation is -180°, which is equivalent to rotation of 180° counterclockwise.

Coordinates (x, y) when rotated 180° clockwise becomes (-x, -y).

New coordinates after rotation about origin are :

(-1, 0), (0, 0), (-1, -3) and (0, -3).

Now add the point of rotation (-2, 1) again.

Points are :

(-3, 1), (-2, 1), (-3, -2) and (-2, -2).

Image with these points is the second option.

Hence the required image is the second option.

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Step-by-step explanation:

A two sigma confidence interval is created whenever our alternate hypothesis does not equal a value.

For example if

\(h_{o} = 0.36\)

and

\(h _{a} ≠0.36\)

We used a two sigma confidence interval because we are thinking a portion is either below 0.36 or above 0.36.

When solving these probability for the p value, multiply the inital result by 2 to get the p value

The 2 sigma confidence interval is a principle that states that a result will be considered significant if 95% of the population is two standards deviation from the average value.

The two-sigma confidence level states that 95% of the values obtained in the results from a population should be within2 deviations from the mean. Anything below this acceptable percentage is not considered the 2-sigma confidence level.

If 68% of the score are within 1 standard deviation from the mean, then that will be considered the 1-sigma rule. If 99.7% of the score is 3 standard deviations from the mean then we can refer to that as the 3-sigma confidence interval.

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Answer:

Step-by-step explanation:

yes

yes

no

no

Total Taxable Income = $30,000

Tax Brackets >>>

15% for the first $8000

18% on anything over $8000

So,

Let's calculate 15% of 8000

Now,

30,000 - 8000 = $22,000

The tax rate is 18% on $22,000

Let's calculate 18% of 22,000

Thus, the total tax is

Henry must pay an income tax of $5160 for last year.

Answer:

Step-by-step explanation:

She wins if the numbers 5 or 6 come up. There are 4 other numbers that are equally likely to be face up.

Most of the time she will lose because two out of 6 is much smaller than 4/6. If you were betting on horses, the odds are 1 in 2. That means that who ever you are playing against should put up 2 dollars for every dollar you put up.

That would be a fair game.

Answer:

the correct t answer is d

Answer:

y=3x+12

Step-by-step explanation:

Use this formula: y-y1=m(x-x1)
(y-Your y point=slope(x-Your x point)

Point= (-2, 6), Slope= 3

(Anything negative, you add. Anything positive, you subtract.)

Plug in your values: y-6=3(x+2)
distribute: y-6=3x+6
Add six to both sides of the equation:y-6(+6)=3x+6(+6)
We get our answer: y=3x+12
Hope this helps!! :)

Answer: The quantity supplied likely goes down.

In economics, an increase in price leads to a decrease in quantity supplied, holding all other factors constant. This relationship is known as the law of supply, which states that a higher price leads to an increase in quantity supplied and a lower price leads to a decrease in quantity supplied, ceteris paribus.

When the price of t-shirts rises from $12.00 to $13.00, the increase in price reduces the quantity of t-shirts that producers are willing and able to supply. Producers will be less incentivized to produce as many t-shirts at the higher price, so the quantity supplied goes down.

Step-by-step explanation:

Answer:

Gasoline is a petroleum-derived product comprising a mixture of liquid aliphatic and aromatic hydrocarbons, ranging between C4 and C12 carbon atoms with the boiling range of 30–225°C. It is predominantly a mixture of paraffins, naphthenes, aromatics and olefins. hope that helps love!

Answer:

Answer is below

Step-by-step explanation:

Gasoline has an initial boiling point at about 35 °C or 95 °F and a final boiling point of about 200 °C or 395 °F.

Answer: 2.5

Step-by-step explanation: If you do 5/8 divided by 1/4 in the calculator it is 2.5.

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

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

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

Answer: 336

Step-by-step explanation:

The numbers are all multiples of 6

Answer:

this question is wrong .................

Answer:

39÷(5+(4×5÷2) )

39÷(5+(20÷2) )

39÷(5+10)

39÷15

2.6

The volume of the right rectangular prism is equal to the area base times the height of the prism. The area base (A) is given by

Then, the volume (V) is given as

Therefore, by rounding to the nearest hundreath, the answer is 263.52 cubic centimeters.

Answer:

mean is 5

median is (5+5)/2 = 5

Step-by-step explanation:

Answer:

median is 5

mean is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 ton = 2000 pounds

thus:

0.65T * (2000lb / 1 T) = 1300 lbs

Hope that helps!

This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.

Here,

When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.

According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.

Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.

In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.

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The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

Given the inequality,

    f(x²-2) < f(7x-8) over D₁ = (-∞, 2)

We need to find the values of x that satisfy this inequality.

Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.

First, we can find the values of x that make the expressions inside the function equal:

x² - 2 = 7x - 8

Simplifying, we get:

x² - 7x + 6 = 0

Factoring, we get:

(x - 6)(x - 1) = 0

So the values of x that make the expressions inside the function equal are x = 6 and x = 1.

We can use these values to divide the domain (-∞, 2) into three intervals:

-∞ < x < 1, 1 < x < 6, and 6 < x < 2.

We can choose a test point in each interval and evaluate

f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.

Let's choose -1, 3, and 7 as our test points.

When x = -1, we have:

f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)

Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.

When x = 3, we have:

f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)

Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.

When x = 7, we have:

f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)

Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.

Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

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Answer:

C

Step-by-step explanation:

Pythagorean theorem

A^2 + B^2 = C^2

The nearest Whole number, the best prediction possible for the number of times you will pick a blue or a green marble out of 75 trials is 34.

The number of times you will pick a blue or a green marble when selecting a marble without looking and then putting it back, we need to consider the probability of selecting a blue or a green marble on each individual trial.  there are four colors of marbles: blue, green, red, and yellow. If we know the relative frequencies or probabilities of each color, we can make a prediction.

For the purpose of this example, let's say there are 20 marbles in total, and the distribution of colors is as follows:

- Blue: 5 marbles

- Green: 4 marbles

- Red: 6 marbles

- Yellow: 5 marbles

To calculate the probability of picking a blue or a green marble on each trial, we add the probabilities of the individual events:

P(blue or green) = P(blue) + P(green) = 5/20 + 4/20 = 9/20

Now, we can use this probability to predict the number of times you will pick a blue or a green marble out of 75 trials:

Predicted number = P(blue or green) * Total number of trials

                  = (9/20) * 75

                  = 33.75

Since we round the number to the nearest whole number. Therefore, the best prediction possible for the number of times you will pick a blue or a green marble out of 75 trials is 34.

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Answer:

76 if you add it all together for the f6g

To prepare a July 31 Balance Sheet for Academic Learning Services, you would need access to the financial statements and records provided in the class, as well as the information from Practical Exercise

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Answer:

Step-by-step explanation:

Irfan must walk a distance of 25 blocks east to return to his apartment building.

A compass can be defined as a scientific instrument that contains a magnetized pointer, which is used to show and indicate the following four (4) main cardinal directions:

Distance can be defined as the amount of ground covered (traveled) by a physical object over a specific period of time and speed, regardless of its direction, starting point or ending point.

Next, we would calculate the total distance covered (traveled) by Irfan as follows:

Total distance = 20 + 5

Total distance = 25 blocks.

Since Irfan walked a total distance of 25 blocks west, he would have to walk the same distance in the opposite direction (east) to return to his apartment building.

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when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{x}{6}=\cfrac{6}{8}\implies \cfrac{x}{6}=\cfrac{3}{4}\implies x=\cfrac{18}{4}\implies x=\cfrac{9}{2} \\\\[-0.35em] ~\dotfill\\\\ 8+x\implies 8+\cfrac{9}{2}\implies \cfrac{25}{2}\implies 12\frac{1}{2}=JL\)

Step-by-step explanation:

geometric mean theorem :

the height of a right-angled triangle to the Hypotenuse is the square root of the product of the parts of the Hypotenuse (as the height splits the Hypotenuse into 2 parts : JM and ML).

JL = JM + ML

in short

KM = sqrt(JM × ML)

6 = sqrt(8 × ML)

36 = 8 × ML

ML = 36/8 = 9/2 = 4.5

so,

JL = JM + ML = 8 + 4.5 = 12.5

Answer:c

Step-by-step explanation:

sin(-7pi/6)=1/2

i got it right on edg2022