Find the equation of the linear function represented by the table below in slope- intercept form. x O 1 1 2 3 4 W у -9 -3 co 9 15 Answer: Y Submit Answer attempt 1 out

The solutions to the equation 5 + 6 * log2(x) = 14 are x = 2√2 and x = -2√2.

To find the solution to the equation 5 + 6 * log2(x) = 14, we can solve it step by step:

Subtract 5 from both sides of the equation:

6 * log2(x) = 14 - 5

6 * log2(x) = 9

Divide both sides of the equation by 6:

log2(x) = 9/6

log2(x) = 3/2

Rewrite the equation in exponential form:

x = 2^(3/2)

Simplify the right side of the equation:

x = √(2^3)

x = √8

x = ±√(4 * 2)

x = ±2√2

Therefore, the solutions to the equation 5 + 6 * log2(x) = 14 are x = 2√2 and x = -2√2.

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Using the combination formula and the probability concept, it is found that there is a 0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.

Combination formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Desired outcomes:

Hence:

\(D = C_{3,2}C_{3,1}{C_{10,1}} = \frac{3!}{2!1!} \times \frac{3!}{1!2!} \times \frac{10!}{1!9!} = 90\)

Total outcomes:

Four marbles are taken from a set of 13, hence:

\(T = C_{13,4} = \frac{13!}{4!9!} = 715\)

Then, the probability is:

\(p = \frac{D}{T} = \frac{90}{715} = 0.1259\)

0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.

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Answer:

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

Step-by-step explanation:

We are given several functions, and we want to figure out which one is linear.

A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.

Let's go through the list.

Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.

Even though y has a power of 1, this is NOT linear, because x has a power of -1.

Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.

For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.

This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.

This means that \(y=\frac{x}{4}\) is linear.

When the double cone is sliced at the apex by a plane parallel to the base of the cone, the resulting degenerate conic is a point.

A degenerate conic is a conic that does not have the usual geometric properties of its non-degenerate counterpart. 

It is formed by slicing a cone with a plane in a way that produces a special type of conic section.

This is because the plane cuts through both halves of the cone, resulting in the two halves becoming one point at the apex of the cone. The other degenerate conics that can be formed by slicing a double cone with a plane are:

If the plane intersects both halves of the cone, but does not pass through the apex, the resulting degenerate conic is a pair of intersecting lines.

If the plane intersects only one half of the cone, the resulting degenerate conic is a single line.

If the plane intersects both halves of the cone, passing through the apex, the resulting degenerate conic is a single line.

If the plane is parallel to one of the generating lines of the cone, the resulting degenerate conic is a parabola.

If the plane intersects both halves of the cone, but at an angle that is not parallel to the base or perpendicular to a generating line, the resulting degenerate conic is a hyperbola.

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Answer:

i think it number 1 113.0 in

Answer:

113.0

Step-by-step explanation:

Answer:

49200

114800

32800

Step-by-step explanation:

196800/12=ans

ans * 3

ans * 7

ans * 2

The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.

∠1 + 88 = 180°( angles on a straight line)

∠1 = 180 - 88 which is 92°

∠3 = 64°( corresponding angles are equal)

∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)

∠2 + 92° + 64° = 180

∠2 = 180 - 92 - 64

∠2 = 24°

∠4 + 81 + ∠3 = 180 ( angles on a straight line)

∠4 + 81 + 64 = 180

∠4 = 180 - 64 -81

∠4 = 35°

∠5 = 81°( alternate angles are equal)

In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.

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Answer:

2sinxcosx - cosx OR cosx(2sinx - 1)

Step-by-step explanation:

Use the double angle identity for sin2x.

sin2x = 2sinxcosx

Substitute sin2x with 2sinxcosx.

2sinxcosx - cosx

Factor out cosx, if needed.

cosx * (2sinx - 1)

Answer:

\({ \tt{ \sin2x - \cos x }} \\ = { \tt{(2 \sin x \cos x) - \cos x }} \\ = { \tt{ \cos x(2 \sin x - 1) }}\)

Answer:

2. -y + 4y^2 + 21

5. 12y^5 - 3y^3 + 27y^2

I'm positive on that.

Btw I like your prpfile pic !

Answer:2,4

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Since the degree of an arc corresponds the degree of an angle, we can see that arc ACB would be one-half of the circle (or a semicircle). Both would be 180° and so your answer would be B.

Answer:

Tuesday

Step-by-step explanation:

Answer:

Reduced fat had the greater spread.

Step-by-step explanation:

Answer:

-2.4f - g -6

Step-by-step explanation:

Distribute the negative to +2.4f and +g

a negative * a positive equals a negative

so the +2.4f turns to a negative and the +g turns to a negative

The -6 is outside the parenthesis, so you do not distribute the negative sign to this.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the dimension of the dam is not given.

However, a general way of calculating volume is to calculate the base area and the multiply by height.

Take for instance,the dam has a rectangular base of 20m by 30m.

The base area will be

Area = 20m * 30m = 600m²

If the height of the water in the dam is 40m, then the volume is:

Volume = 600m² * 40m

Volume = 24000m³

Answer:

A.y = −8x + 80B

Step-by-step explanation:

first you have to find the slope :

P1(2,64). P2(6,32)

slope=Y2-Y1/X2-X1

slope=64-32/2-6

slope= -8

y= -8x + b. now solve for "b" by using one of the coordinates given above.

y= -8x + b. I will use coordinate p(2,64)

64= -8(2) + b

64 + 16 = b

80= b

you can use any of the coordinates i.e either P1(2,64)or P2(6,32) it doesn't affect the value of "b".

line of equation is :

.y = −8x + 80B

Answer: y= -8x+80

Step-by-step explanation:

Answer:

4 seems to be it

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

19-44=25

45-64=19 25+19=44 44-64=20

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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Answer:

Step-by-step explanation: the answer is d

Answer:

The correct answer are B and E.

Step-by-step explanation:

I took the test

The confidence interval of the prevalence of the disease is between a probability of 0.21 and 0.39.

The formula for confidence interval of proportion is defined as;

CI = p ± z√(p(1 - p)/n)

where;

CI is confidence interval

p is sample proportion

n is sample size

z is z-score at confidence level

We will find the sample proportion as;

p = x/n

p = 30/100

p = 0.3

The z-score at a confidence level of 95% is 1.96

Thus;

CI = 0.3 ± 1.96√(0.3(1 - 0.3)/100)

CI = 0.3 ± 0.09

CI = (0.3 - 0.09), (0.3 + 0.09)

CI = (0.21, 0.39)

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Answer:

x=-pie/12

sinxcosx=-1/4

multiply both sides by 2

sin2x = 2sinxcosx we know

now equation will be

sin2x = -1/2

2x=-pie/6

x=-pie/12

Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

Answer:

2 * 3 * 5

Step-by-step explanation:

The factors of 30 are 1,2,3,5,6,10,15, and 30. Lets just pick out the prime numbers from this and see if they multiply to 30.

\(2\times 3\times 5=30\)

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer: 11/12 or 0.916

Step-by-step explanation: hope this helps!

After cοmpleting the task, we can state that The whοle number clοsest tο  expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.

The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.

Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.

√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.

Therefοre, √51 is clοsest tο the whοle number 7.

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