WILL MARK BRAINLIEST NEED ANSWER ASAP

Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.
How old is Daniel now?

Answer:

if your talking about the point after 6 then it would be 3

Step-by-step explanation:

Answer:

Base

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles which are scalene triangle, isosceles triangle,, equilateral triangle etc..

An isosceles triangle is a triangle in which two of the sides are equal, also two angles are equal. The two equal sides of the isosceles triangle are called base while the other side is the base.

The base of an Isosceles triangle is the side included between the pair of congruent angles.

The center of the sphere is (-5, 3/2, -31), and its radius is \(\sqrt{(5675/4).\)

To write the equation of the sphere in standard form, we need to complete the square for the terms involving x, y, and z.

Given the equation \(x^2 + y^2 + z^2 + 10x - 3y + 62z + 46 = 0\), we can rewrite it as follows:

\((x^2 + 10x) + (y^2 - 3y) + (z^2 + 62z) = -46\)

To complete the square for x, we add \((10/2)^2 = 25\) to both sides:

\((x^2 + 10x + 25) + (y^2 - 3y) + (z^2 + 62z) = -46 + 25\\(x + 5)^2 + (y^2 - 3y) + (z^2 + 62z) = -21\)

To complete the square for y, we add \((-3/2)^2 = 9/4\) to both sides:

\((x + 5)^2 + (y^2 - 3y + 9/4) + (z^2 + 62z) = -21 + 9/4\\(x + 5)^2 + (y - 3/2)^2 + (z^2 + 62z) = -84/4 + 9/4\\(x + 5)^2 + (y - 3/2)^2 + (z^2 + 62z) = -75/4\)

To complete the square for z, we add \((62/2)^2 = 961\) to both sides:

\((x + 5)^2 + (y - 3/2)^2 + (z^2 + 62z + 961) = -75/4 + 961\\(x + 5)^2 + (y - 3/2)^2 + (z + 31)^2 = 3664/4 + 961\\(x + 5)^2 + (y - 3/2)^2 + (z + 31)^2 = 5675/4\)

Now we have the equation of the sphere in standard form:

\((x + 5)^2 + (y - 3/2)^2 + (z + 31)^2 = 5675/4.\)

The center of the sphere is given by the values inside the parentheses: (-5, 3/2, -31).

To find the radius, we take the square root of the right-hand side: sqrt(5675/4).

Therefore, the center of the sphere is (-5, 3/2, -31), and its radius is the square root of 5675/4.

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Answer:

Step-by-step explanation:

LM=CB

MN=BA

LN=CA

5y=90

y=90/5=18

y=18°

7z+6=90

7z=90-6=84

z=84/7=12

z=12°

∠L=180-(90+30)=180-120=60

∠L=60°

LN=2y-12=2×18-12=36-12=24

LN=24

m∠C=m∠L=60

m ∠C=60°

AC=z+12=12+12=24

AC=24

The probability of P(X > 1) can be shown as the expression \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\), which has the value, P(X > 1) = 0.160199752.

The number of times Jack flips the coin = 10.

The number of outcome on each flip = 2 {viz. Heads and Tails}.

Thus, the number of outcomes after flipping the coin 10 times = 2¹⁰.

The number of outcomes of getting all heads or tails = 2.

Thus, the probability = 2/2¹⁰ = 1/2⁹.

This can make a binomial distribution when repeated for 365 days, with parameters, n = 365, and p = 1/2⁹, showing P(X = x) as,

P(X = x) = nCx.pˣ.qⁿ ⁻ ˣ, where q = 1 - p.

Thus, we can calculate the probability P(X > 1) as follows:

P(X > 1)

= 1 - P(X ≤ 1)

= \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\)

= 1 - {365C0.(1/2⁹)⁰.(1 - 1/2⁹)³⁶⁵ + 365C1.(1/2⁹)¹.(1 - 1/2⁹)³⁶⁴}

= 1 - {0.489883478 + 0.34991677}

= 0.160199752.

Thus, the probability of P(X > 1) can be shown as the expression \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\), which has the value, P(X > 1) = 0.160199752.

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Answer:560

Step-by-step explanation: 7x20x4=560

Answer:

x=20⁰

Step-by-step explanation:

Since they are vertically opposite angles

x+20⁰=40⁰

---------

| x=20⁰ |

--------

\(\\ \sf\longmapsto 41sin\Theta=40\)

\(\\ \sf\longmapsto sin\Theta=\dfrac{40}{41}\)

Now

\(\boxed{\sf cos\Theta=\sqrt{1-sin^2\Theta}}\)

\(\\ \sf\longmapsto cos\Theta=\sqrt{1-\left(\dfrac{40}{41}\right)^2}\)

\(\\ \sf\longmapsto cos\Theta=\sqrt{1-\dfrac{1600}{1682}}\)

\(\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{1681-1600}{1681}}\)

\(\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{81}{1681}}\)

\(\\ \sf\longmapsto cos\Theta=\dfrac{9}{41}\)

We know

\(\boxed{\sf tan\Theta=\dfrac{Sin\theta}{Cos\Theta}}\)

\(\\ \sf\longmapsto \dfrac{tan\Theta}{1-tan^2\Theta}\)

\(\\ \sf\longmapsto \dfrac{\dfrac{sin\Theta}{cos\Theta}}{1-\dfrac{sin^2\Theta}{cos^2\Theta}}\)

\(\\ \sf\longmapsto \dfrac{\dfrac{\left(\dfrac{40}{41}\right)}{\left(\dfrac{9}{41}\right)}}{1-\dfrac{\left(\dfrac{40}{41}\right)^2}{\left(\dfrac{9}{41}\right)^2}}\)

\(\\ \sf\longmapsto \dfrac{\dfrac{{40}}{{9}}}{1-\dfrac{{40}^2}{{9}^2}}\)

\(\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{9^2-40^2}{9^2}}\)

\(\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{81-1600}{81}}\)

\(\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{-1519}{81}}\)

\(\\ \sf\longmapsto {\dfrac{40}{\cancel{9}}}\times \dfrac{\cancel{81}}{(-1519)}\)

\(\\ \sf\longmapsto \dfrac{40\times 9}{(-1519)}\)

\(\\ \sf\longmapsto - \dfrac{360}{1519}\)

here is the thing you need to know 4x+2(3x−9)=xSimplify 4x+2(3x−9).Tap for more steps...10x−18=xMove all terms containing x to the left side of the equation.Tap for more steps...9x−18=0Add 18 to both sides of the equation.9x=18Divide each term by 9and simplify.Tap for more steps...x=2

Answer:

433

Step-by-step explanation:

433. . . . . . . ............,.. srry it made me write this much to answer

Answer:

Step-by-step explanation:

Employee's salary: $52,000

Months in a year: 12

52000 / 12 = 4,333.333(r)

Closest answer: D

3 7/9

Step-by-step explanation:

34/9

= 34 ÷ 9 = 3 remain 7

= 34 = 9 × 3 + 7

so

34/9

= 3 7/9

Answer:

34/9 is already in it's simplest form but can be written as a decimal:  3.777778

Step-by-step explanation:

1. Find the HCF of both numbers which is 1

2. Divide them both by the HCF

3. 34/1 = 34

4. 9/1 = 9

5. Therefore there is no simpler fraction but you can write it as a decimal.

The quartic function with zeros -6, 1, 2, and 6 is f(x) = x⁴ - 3x³ - 40x² + 99x + 72.

We must use the function's zeros and the leading coefficient to formulate the equation of a quartic polynomial. We may factor the polynomial as follows since the leading coefficient is 1:

f(x) = (x + 6)(x - 1)(x - 2)(x - 6)

Expanding this expression using FOIL and simplifying, we get:

f(x) = (x⁴ - 3x³ - 40x² + 99x + 72)

This is the equation of the quartic polynomial in standard form, where the coefficients of each term represent the corresponding power of x. Therefore, the quartic function with zeros -6, 1, 2, and 6 is f(x) = x⁴ - 3x³ - 40x² + 99x + 72.

It is crucial to keep in mind that the leading coefficient is supposed to be 1, which makes determining the polynomial easier. We would have to modify the coefficients of each term if the leading coefficient had a different value.

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If n is a vector normal to the tangent plane of the surface F(x,y,z) = 0 at a point, then option (C) the gradient of F is orthogonal to n.

The gradient of F at a point (x₀, y₀, z₀) is defined as the vector (∂F/∂x, ∂F/∂y, ∂F/∂z) evaluated at that point. This gradient vector is perpendicular (or orthogonal) to the level surface of F passing through that point.

The tangent plane to the surface F(x, y, z) = 0 at a point (x₀, y₀, z₀) is defined as the plane that touches the surface at that point and is perpendicular to the normal vector at that point.

Thus, if n is a vector normal to the tangent plane of the surface F(x, y, z) = 0 at a point (x₀, y₀, z₀), then n is perpendicular to the tangent plane. Since the gradient vector of F at the point (x₀, y₀, z₀) is perpendicular to the tangent plane, it is also perpendicular to n.

Therefore, the correct answer is (C) The gradient of F is orthogonal to n.

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Suppose after the shock, the economy temporarily stays at the short-run equilibrium, then the output gap Y2−Y1 is: B< (less than)As the output gap measures the difference between the actual output (Y2) and potential output (Y1), when the output gap is less than zero, that is, the actual output is below potential output.

The inflation gap π2−π1 is 0. C= (equal)When the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.12. Suppose there is no government intervention, the economy will adjust itself from short-run equilibrium to long-run equilibrium, at such long-run equilibrium, output gap Y3−Y1 is 0. C= (equal). As the long run equilibrium represents the potential output of the economy, when the actual output is equal to the potential output, the output gap is zero.13.

The inflation gap π3−π1 is 0. C= (equal) Again, when the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.14. (1 point) Suppose the Fed takes price stability as their primary mandates, then which of the following should be done to address the shock. B monetary tightening When the central bank takes price stability as its primary mandate, it aims to keep the inflation rate low and stable. In the case of a positive shock, which can lead to higher inflation rates, the central bank may implement a monetary tightening policy to control the inflation.

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In the given study comparing the effects of regular-fat cheese to reduced-fat cheese on LDL cholesterol levels, the dependent variable(s) refers to the outcome(s) that are being measured or observed. In this case, the dependent variable in this study is: b. LDL levels

The dependent variable is the variable that is measured or observed to assess the effect of the independent variable(s). In this case, the study is comparing the effects of regular-fat cheese and reduced-fat cheese on LDL cholesterol levels.

LDL cholesterol levels are the outcome being measured to determine the impact of the different types of cheese on cholesterol. Therefore, option b, LDL levels, is the dependent variable in this study. Options a (regular fat cheese) and c (reduced fat cheese) are not the dependent variables but rather the independent variables, as they are the different conditions being compared to assess their effect on LDL levels.

Option d (both a and b) and option e (both b and c) are incorrect because regular-fat cheese (option a) is an independent variable, not a dependent variable.

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Answer: 56 inches

Step-by-step explanation:

To find the length of each side, use Pythagorean's Theorem, a² + b² = c²

Note the bottom sides are the same length and the top two are the same length.

Bottom sides:

5² + 12² = c²

25 + 144 = c²

169 = c²

13 = c

Top sides:

9² + 12² = c²

81 + 144 = c²

225 = c²

15 = c

Add it all together

13 + 13 + 15 + 15 = 56

The perimeter is 56 inches.

Hope this helps!

The inequality that represents the total insurance expenses is x< 23,750.

A company's insurance costs include the cost of the insurance contract as well as any additional premium payments. The company's payment is recorded as an expense for the given accounting period.

The out-of-pocket maximum of $5,000 is the maximum amount the client will pay, which includes the deductible ($250) and the coinsurance (20% of the insured expenses). Therefore, the total insured expenses (x) must be less than the out-of-pocket maximum plus the deductible:

x < $5,000 + $250 = $5,250

Since the client has a 20% co-insurance, the client will pay 20% of the insured expenses and the insurance company will pay the rest. Therefore, the total amount the client will pay for the insured expenses is:

$250 + 0.20x

Since this amount must be less than the out-of-pocket maximum of $5,000:

$250 + 0.20x < $5,000

Solving for x:

x < $23,750

Therefore, The inequality that represents the total insurance expenses is x< 23,750.

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In the given equation r = 2/5 t "r" is the dependent variable.

In mathematics, a variable is a symbol that represents a quantity that can take on different values. In many cases, variables can be divided into two types: dependent variables and independent variables.

An independent variable is a variable that can be changed freely, and its value is not dependent on any other variable in the equation.

A dependent variable is a variable whose value depends on the value of one or more other variables in the equation

Here we have

Lin notices that the number of cups of red paint is always  2/5 of the total number of cups.

She writes the equation r = 2/5 t to describe the relationship.

In the equation, r = 2/5 t, "t" represents the total number of cups, while "r" represents the number of cups of red paint.

Here "t" is the independent variable because it represents the total number of cups, which can be changed arbitrarily.

The value of "r" depends on the value of "t" because the number of cups of red paint is always 2/5 of the total number of cups.

Therefore,

In the given equation r = 2/5 t "r" is the dependent variable.

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Complete Question:

Lin notices that the number of cups of red paint is always  2/5 of the total number of cups. She writes the equation r = 2/5 t to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.

Answer:

B

Step-by-step explanation:

Answer:

21 windows

Step-by-step explanation:

colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

Answer: Let the number of window Colleen father would paint be x while that of her mother be y. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father x = 2y

Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).

Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7

Therefore the total number of windows = 3(y + z) = 3(7) = 21 windows

Answer:

25%

Step-by-step explanation:

The postulate that can be used to prove that the triangles are congruent is: AAS.

The AAS congruence postulate states that if two angles and one non-included side of one triangle are congruent to corresponding two angles and one non-included side of another triangle, it can be proven that both triangles are congruent triangles.

From the image, we know that triangles RST and UVT have:

Two pairs of congruent angles, which are angle RST ≅ angle UVT and angle RTS ≅ UTV (vertical angles)

One pair of non-included congruent sides, which are RT ≅ UT.

Thus, we can conclude that they are congruent triangles based on the AAS congruence postulate.

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Answer:

270 minutes in all

Step-by-step explanation:

First, if we know that Deena spent 45 min painting, and that Clara spent 30 min more, than to find how much Clara painted you do 45 + 30 which equals 75. To find Adam, you do 75 x 2 which = 150.

150 + 75 + 45 = 270

Hope this helps!

Answer:

1/3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.



To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.

To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.

Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.

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It is important to note that the probability of an exact match at all 16 loci is very low, as even small differences in the number of repeats at each locus can result in different genotypes. This makes it unlikely to find two individuals with an exact match at all loci.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.

Here,

To calculate the probability of an identical match at all 16 STR loci, you would need to determine the frequency of each unique genotype at each locus, and then multiply the frequencies of each unique genotype to obtain the probability of all 16 loci having the same genotype in two individuals.

This probability would be based on the genetic makeup of the population of elephants that the individuals are drawn from, and the specific alleles present at each locus in each individual.

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In the n-Firm Cournot Model, where there are n≥2 firms, each firm determines the quantity it produces in a Cournot oligopoly. The aggregate production level, denoted as Q, is the sum of the quantities produced by all the firms (q1+⋯+qn).

To represent this game as a static game with complete information, we can use the normal-form representation. In the normal-form representation, we describe the strategies and payoffs of each firm.

Let's go through the steps to create the normal-form representation of this game:

1. Identify the players: In this case, the players are the n firms participating in the Cournot oligopoly.

2. Determine the strategies: Each firm chooses the quantity it will produce, denoted by qi, where i represents the firm number. The quantity produced by each firm is the strategy of that firm.

3. Define the payoff function: The payoff for each firm depends on the market price, which is determined by the aggregate production level Q. The market price, P(Q), is given by the demand function P(Q) = a - Q.

4. Calculate the payoff for each firm: The payoff for each firm depends on the quantity it produces and the market price determined by the aggregate production level. The payoff can be calculated using the formula πi = P(Q) * qi, where πi represents the payoff for firm i.

5. Construct the normal-form representation: The normal-form representation is typically presented as a matrix, where each row represents a strategy profile (combination of quantities produced by the firms) and each column represents a player's strategy (quantity produced by a single firm). The entries in the matrix represent the payoffs for each firm.

For example, let's consider a 3-firm Cournot oligopoly with demand function P(Q) = a - Q. Firm 1, 2, and 3 have the strategies q1, q2, and q3, respectively. The payoffs can be calculated as follows:

- Payoff for firm 1: π1 = (a - Q) * q1
- Payoff for firm 2: π2 = (a - Q) * q2
- Payoff for firm 3: π3 = (a - Q) * q3

The normal-form representation matrix would look like this:

| Firm 1\2\3 | q1     | q2     | q3     |
|------------|--------|--------|--------|
| q1         | π1,1   | π1,2   | π1,3   |
| q2         | π2,1   | π2,2   | π2,3   |
| q3         | π3,1   | π3,2   | π3,3   |

Each entry in the matrix represents the payoff for each firm based on the combination of quantities produced by the firms.

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The function is not a pdf because c is not defined.It is not bounded either.

a) f(x) = x3 / 4 for 0 < x < c(i) For f(x) to be a pdf, it must satisfy two conditions:It must be non-negative for all xIt must integrate to 1 between the limits of the random variable. That is,It is given that f(x) = x3 / 4 for 0 < x < c

For the above function, we have to find c.c = [4 / (c^4/4)](c^4/4) = 4

Now, the pdf is given by f(x) = x^3 / 4c = 4

(ii) The cdf is given by F(x) = P(X ≤ x)

The limits are from 0 to x. Hence we have

\(F(x) = ∫ f(x) dx = ∫ x^3 / 4c dx = [x^4 / (16c)] from 0 to x\)

Therefore,F(x) = x^4 / (16c)

(iii) The graph of the pdf and cdf can be sketched as below.(iv) Mean of the given pdf is given byμ =

∫x.f(x) dx = ∫0c x.x^3 / 4c dx = ∫0c x^4 / 4c dx= [x^5 / 20c] from 0 to c= c^4 / 80

Therefore,μ = c^4 / 80

Variance of the given pdf is given by

\(σ^2 = ∫(x - μ)^2 . f(x) dx = ∫0c (x - c^4 / 80)^2 . x^3 / 4c dx\)

On evaluating,

\(σ^2 = c^8 / 1280 - (c^4 / 16) + (3c^4 / 80) = c^8 / 1280 + (c^4 / 60)\)

b) f(x) = (3/16)x2 for -c < x < c

(i) For f(x) to be a pdf, it must satisfy two conditions:It must be non-negative for all xIt must integrate to 1 between the limits of the random variable. That is,It is given that f(x) = (3/16)x2 for -c < x < c

For the above function, we have to find c.∫(3/16)x2 dx = 1

Integrating within the limits, we get3/16 [x3 / 3] from -c to c = 1

On solving we getc3 = 16 / 3c = (16 / 3)1/3

Now, the pdf is given by f(x) = (3/16)x2 / c

(ii) The cdf is given by F(x) = P(X ≤ x)

The limits are from -c to x.

Hence we haveF(x) = ∫ f(x) dx = ∫ (3/16)x2 / c dx = [(x3 / 16c)] from -c to x

Therefore,F(x) = (x3 + c3) / 16c

(iii) The graph of the pdf and cdf can be sketched as below.

(iv) Mean of the given pdf is given byμ = ∫x.f(x) dx = ∫(-c)c x.(3/16)x2 / c dx = ∫(-c)c (3/16)x3 / c dx= 0

Therefore,μ = 0

Variance of the given pdf is given byσ^2 = ∫(x - μ)^2 . f(x) dx = ∫(-c)c (x - 0)^2 . (3/16)x2 / c dx

On evaluating,σ^2 = 3c4 / 80

Therefore,σ^2 = c4 / 26c) f(x) = c/student submitted image, transcription available belowfor 0 < x < 1.

Is this pdf bounded?(i) For f(x) to be a pdf, it must satisfy two conditions:It must be non-negative for all xIt must integrate to 1 between the limits of the random variable. That is,It is given that f(x) = c/student submitted image, transcription available belowfor 0 < x < 1Now, we have to find the value of c so that f(x) is a pdf.∫c/student submitted image, transcription available belowdx = 1Integrating within the limits, we getc [ln |x|] from 0 to 1 = 1On solving we getc = 1 / ln (1) = undefined

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