Determine whether the equation represents y as a function of x. LARCOLALG10 2.2.022. Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) h(t)=−t
2
+t+1 (a) h(2) (b) h(−1) (c) h(x+1) This question has several parts that must be completed sequentially. If you skip a part of the question, you will not recei for the skipped part, and you will not be able to come back to the skipped part. LARCOLALG10 2.2.026.MI.SA. /1 Points] Evaluate (if possible) the function at the specified value of the independent variable and simplify. q(t)=(5t
2
+6)/t
2

Time left In an experiment of rolling a die two times, the probability of having sum at most 5 is The probability is approximately 0.3056 or 30.56%.

To calculate the probability of obtaining a sum at most 5 when rolling a die two times, we can consider all the possible outcomes and count the favorable ones.

Let's denote the outcomes of rolling the die as pairs (a, b), where 'a' represents the result of the first roll and 'b' represents the result of the second roll.

The possible outcomes for rolling a die are:

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6).

Out of these 36 possible outcomes, the favorable outcomes (pairs with a sum at most 5) are:

(1, 1), (1, 2), (1, 3),

(2, 1), (2, 2), (2, 3),

(3, 1), (3, 2), (3, 3),

(4, 1), (4, 2),

(5, 1).

There are 11 favorable outcomes out of 36 possible outcomes.

Therefore, the probability of obtaining a sum at most 5 when rolling a die two times is:

P(sum ≤ 5) = favorable outcomes / possible outcomes = 11/36 ≈ 0.3056.

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1. The break-even point in unit sales and in dollar sales is 4,500 units and $324,000 respectively.

2. If the variable expenses per stove increase as a percentage of the selling price, will it result in a higher break-even point.

3. Income statements before and after changes are implement net income of $36,000 and $(28,000) respectively.

4. The company has to sell 5,401 units to achieve the target profit of $35,000 per month.

1. The break-even point in unit sales and dollar sales is computed as follows:

Break-Even Point in Unit Sales = Fixed Costs / Contribution Margin per Unit = $108,000 / ($50 - $32) = 4,500 units

Break-Even Point in Dollar Sales = Fixed Costs / Contribution Margin Ratio = $108,000 / ($50 / $18) = $324,000

2. If variable expenses per stove increase as a percentage of selling price, it will result in a higher break-even point. Since variable expenses would have a higher percentage of revenue, contribution margin would be lower, making it more challenging to cover fixed costs.

3. Present Income Statement

Sales (8,000*$50) $400,000

Less variable expenses (8,000*$32) (256,000)

Contribution Margin $144,000

Less fixed expenses 108,000

Net Income $36,000

Income Statement if Changes are Implemented

Sales (8,000*$45) $360,000

Less variable expenses (8,000*$35) (280,000)

Contribution Margin $80,000

Less fixed expenses 108,000

Net Loss $(28,000)

4. The contribution margin ratio is 36% ($18/$50). So, the sales revenue required to achieve the target profit is:

$35,000 / 0.36 = $97,222

The number of units required to be sold is:

$97,222 / $18 = 5,401 units

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By using percentage, it can be calculated that-

Final price of dog bed = $17.81

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200. These relationships can be generalized as x = PT/100 where x is the quantity equal to a specific percentage P of T and T is the total reference quantity selected to represent 100%. As a result, T is 1,000, P is 1, and x is determined to be 10 in the case for 1 percent of 1,000 chickens.

For example, 3% means \(\frac{3}{100}\). Here, 3 is expressed as a fraction of 100

Price of a dog bed = $19.49

Rate of discount = 15%

Price after discount = $(\(19.49 - \frac{15}{100}\times 19.49\)) = $16.5665

Rate of sales tax = 7.5%

Final price of dog bed = $(\(16.5665 - \frac{7.5}{100}\times 16.5665\)) = $17.81

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Answer:

The length and breadth giving the lowest perimeter is 6 and 10.

Step-by-step explanation:

Area= Length* Breadth
Therefore, we divide 60 into pairs of 2 factors.
(30,2), (20,3), (12,5), (60,1), (15,4), (10,6).
These are the possible values of length and breadth which can give us the area 60.

Perimeter=2*(Length+Breadth)
Now, to minimise perimeter, we take the pair with the lowest sum.

The pair comes out to be 6 and 10 with the sum of 16.

Answer:

Step-by-step explanation:

32/40

=0.8

so it's 20% off since it's a decay.

The average speed that Patrick used to run from his home to a shop and walk back to his home is 1.33 m per second.

The average speed is the total distance divided by the total time.

The average or mean is the quotient of the total value and the total time or number of items in a data set.

The distance from Patrick's home to a shop = 400 m

Running speed from home to the shop = 2 m per second

The total time used in running to the shop = 200 seconds (400/2)

The distance from the shop to Patrick's home = 400 m

Walking speed from shop to the home = 1 m per second

The total time used in walking back to the home = 400 seconds (400/1)

The total distance to and from shop = 800 m (400 x 2)

The total time used to run to and walk from the shop = 600 seconds (200 + 400)

The average speed for the whole journey = Total Distance/Total Time

= 800/600 = 1.33 m per second

Thus, for covering a total distance of 800 m in 600 seconds, Patrick's average speed was 1.33 m per second.

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The rock that has a mass of 35.4 g has a density of: 5.06 g/ cm^3

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

The density formula and the procedure we will use is:

d = m/v

Where:

Information about the problem:

Applying the density formula we get:

d = m /v

d = 35.4 g / 7.0 cm^3

d = 5.06 g/ cm^3

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Correctly written question:

If a rock has a mass of 35.4 g and a volume of 7.0 cm^3. What is the density of the rock in g/cm3

Answer:

Yes, The correct answer is Yes

Step-by-step explanation:

The statement "When two events A and B are independent, the joint probability of the events can be found by multiplying the probabilities of the individual events" is true.

When two events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event. In such cases, the joint probability of both events can be found by multiplying their individual probabilities. Mathematically, this can be expressed as P(A ∩ B) = P(A) * P(B). This rule holds true for independent events and is a fundamental concept in probability theory.

Now, let's examine the other statements:

1. The probability of the union of two events can exceed one:

This statement is false. The probability of an event is always between 0 and 1, inclusive. When you consider the union of two events, the probability of their combined occurrence cannot exceed 1. It is possible for the sum of the individual probabilities of the two events to exceed 1, but the probability of their union will never be greater than 1.

2. When events A and B are mutually exclusive, then P(A ∩ B) = P(A) + P(B):

This statement is false. Mutually exclusive events are events that cannot occur at the same time. If events A and B are mutually exclusive, their intersection (A ∩ B) will be an empty set, and therefore, the probability of their intersection is 0 (P(A ∩ B) = 0). The correct statement for mutually exclusive events is P(A ∪ B) = P(A) + P(B), where P(A ∪ B) represents the probability of the union of events A and B.

3. The union of events A and B consists of all outcomes in the sample space that are contained in both event A and B:

This statement is false. The union of events A and B, denoted as A ∪ B, consists of all outcomes that belong to either event A or event B or both. In other words, it includes all outcomes that are in A, in B, or in both A and B. The intersection of events A and B (A ∩ B) represents the outcomes that are contained in both A and B.

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Answer:

Cada uno de ellos gana:

S/. 24

S/. 36

Step-by-step explanation:

Planteamiento:

a + b = 60

a = 12 + b

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

(12+b) + b = 60

2b + 12 = 60

2b = 60 - 12

2b = 48

b = 48/2

b = 24

de la segunda ecuación del planteamiento:

a = 12 + b

a = 12 + 24

a = 36

Check:

24 + 36 = 60

Answer:

-12

Step-by-step explanation:

Answer:

w = -12

Step-by-step explanation:

Given: w/-2 = 6

Rewriting to make it easier to see what is going on: \(\frac{w}{-2}\) = 6

Multiplying both sides by -2: w = -12

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Since the discriminant given has a value that is greater than zero, hence  the roots of the quadratic equation are real and distinct.

Quadratic equation is an equation that has a leading degree of 2. The discriminant is used to determine the nature of the equation

If D > 0 , the roots of the quadratic equation are real and distinct.

If D < 0 , the roots of the quadratic equation are complex

Since the discriminant given has a value that is greater than zero, hence  the roots of the quadratic equation are real and distinct.

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Given :-

To Find :-

Solution :-

As we know that angles opposite to equal angles are equal . So ultimately all the angles inside the triangle would be equal to each other . Thus the triangle is a equilateral and each angle in a equilateral triangle is 60° . So ,

\(\sf\longrightarrow\)9x - 3° = 60°

\(\sf\longrightarrow\)9x = 60° +3°

\(\sf\longrightarrow\)9x = 63°

\(\sf\longrightarrow\)x = 63°/9

\(\sf\longrightarrow\)x = 7°

Hence the required answer is 7° .

Given :

In the figure, it is given that a triangle with having all sides equal. And we know that, sum of all angles of the triangle is 180°.

⠀

To Find :

⠀

Solution :

\( \implies \sf \:(9x - 3){}^{ \circ} + (9x - 3){}^{ \circ} + (9x - 3){}^{ \circ} = 180{}^{ \circ}\\ \\ \sf \implies \:9x - 3{}^{ \circ} + 9x - 3{}^{ \circ} + 9x - 3{}^{ \circ} = 180{}^{ \circ} \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf 9x + 9x + 9x - (3{}^{ \circ} + 3{}^{ \circ} + 3{}^{ \circ}) = 180{}^{ \circ} \: \: \: \: \: \\ \\ \implies \sf \: 27x - 9{}^{ \circ} = 180{}^{ \circ} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \implies27x = 180 {}^{ \circ} + 9{}^{ \circ}\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \implies27x = 189{}^{ \circ}\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \implies \: x = \frac{189{}^{ \circ}}{27} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf \: { \underline{ \boxed{ \pmb{ \mathfrak{x = 7°}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

Therefore, the required value of x = 7°

The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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The volume of the solid is π/3.

The regions bounded by the curve x = y - y^3 in the first quadrant and the y-axis are to be revolved around the x-axis and the line y = 1, respectively.

The solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the x-axis are obtained by using disk method.

Therefore, the volume of the solid is:

V = ∫[a, b] π(R^2 - r^2)dx Where,R = radius of outer curve = yandr = radius of inner curve = 0a = 0andb = 1∫[a, b] π(R^2 - r^2)dx= π∫[0, 1] (y)^2 - (0)^2 dy= π∫[0, 1] y^2 dy= π [y³/3] [0, 1]= π/3

The volume of the solid is π/3.The solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the line y = 1 can be obtained by using the washer method.

Therefore, the volume of the solid is:

V = ∫[a, b] π(R^2 - r^2)dx Where,R = radius of outer curve = y - 1andr = radius of inner curve = 0a = 0andb = 1∫[a, b] π(R^2 - r^2)dx= π∫[0, 1] (y - 1)^2 - (0)^2 dy= π∫[0, 1] y^2 - 2y + 1 dy= π [y³/3 - y² + y] [0, 1]= π/3

The volume of the solid is π/3.

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Answer:

smallest integer value of m=4

Step-by-step explanation:

Answer:

$4.04

Step-by-step explanation:

$3.15+$1.25=y

y is our variable

so,3.15

   + 1.25

     4.04

Answer:

3, 9, 15, 21, 27, 33, 39, 45,

Step-by-step explanation:

*no step by step explanation*

Answer:

To solve the quadratic equation 3w^2 - 12w = -12, we can use the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -12, and c = -12. Plugging these values into the formula, we get:

w = (-(-12) +/- sqrt((-12)^2 - 43(-12))) / (2*3)

Simplifying, we get:

w = (12 +/- sqrt(144 + 144)) / 6

w = (12 +/- sqrt(288)) / 6

w = (12 +/- sqrt(288)) / 6

w = (12 +/- 16.97) / 6

w = (12 +/- 16.97) / 6

w = 28.97/6 or -4.97/6

w = 4.828 or -0.828

Therefore, the solutions to the equation 3w^2 - 12w = -12 are w = 4.828 and w = -0.828.

Answer:

w = 2

Step-by-step explanation:

\(3w^{2} -12w=-12\\3w^{2} -12w+12 = 0\\\)

\(\frac{-b + \sqrt{b^{2} - 4ac} }{2a}\)

\(\frac{-(-12) + \sqrt{(-12)^{2} - 4(3)(12) } }{2(3)} = 2\)

Answer:

1. My gf with me ;)

2. Ps5

Step-by-step explanation:

THERE :)

Answer:

VR Headset

Neon Nail Polish

New Blankie

Money for a laptop (I almost have enough!)

Step-by-step explanation:

Bc y not

A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

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The value of point farthest from the plane is {Mod-(x + 3y + 4(11 - x² - y²))} / √26 units and the values of x, y, and z for the point is 1/8, 3/8, and 347/32.

What is the distance from a point to a plane?

The length of the perpendicular that is dropped from a point to touch a plane is actually the smallest distance between them.

Distance between point and plane:

The distance from (x₀, y₀, z₀) to the plane Ax +By + Cz + D = 0 is

Distance = {Mod-(Ax₀ +By₀ + Cz₀ + D)} / √(A² + B² + C²)

As given,

Z = 11 - x² - y² and plane x + 3y + 4z = 0.

From formula:

D(x, y, z) = {Mod-(Ax₀ +By₀ + Cz₀ + D)} / √(A² + B² + C²)

Substitute values respectively,

D(x, y, z) = {Mod-(x + 3y + 4z)} / √(1² + 3² + 4²)

D(x, y, z) = {Mod-(x + 3y + 4z)} / √(1 + 9 + 16)

D(x, y, z) = {Mod-(x + 3y + 4z)} / √26

Substitute value of z,

D(x, y, z) = {Mod-(x + 3y + 4(11 - x² - y²))} / √26

For farthest point: Dₓ = 0;

1 - 8x = 0

   8x = 1

    x = 1/8

Similarly, for farthest point: Dy = 0;

3 - 8y = 0

    8y = 3

      y = 3/8

Substitute obtained values of x and y respectively,

z = 11 - x² - y²

z = 11 - (1/8)² - (3/8)²

z = 347/32

So, the farthest points are,

x = 1/8, y = 3/8, and z = 347/32.

Hence, the value of point farthest from the plane is Mod-(x + 3y + 4z)/√26 units and the values of x, y, and z for the point is 1/8, 3/8, and 347/32.

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Step-by-step explanation:

There must be some variables on p or q

If u send those i can help u

Answer:

168 yards

Step-by-step explanation:

The park is a square. Therefore all sides are equal.

Area is length x width.

196=l x w

Square root 196 to get 14.

14 x 14 = 196

All sides equal 14.

You need perimeter if its around.

P= 14 x 4

The perimeter is 56.

It was ran around 3 time though so you have to times that by 3.

56 x 3

168 yards.

Answer:

B

Step-by-step explanation:

6 is being multiplied by a quantity greater than 1, meaning the product will be more than 6.

fractions with the same denominator added together

You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.

What are the parts of fraction?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.

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