Help meeeeee please

Answer:

2. sec x + c

1.1 view attached pic

1.2 view attached pic

Step-by-step explanation:

g = number of girls

2g = twice the number of girls

2g+5 = add on 5 to the previous value

2g+5 = number of boys

-------------------

Since there are 89 students we can say

girls + boys = 89 total

g + (2g+5) = 89

3g+5 = 89

3g = 89-5

3g = 84

g = 84/3

g = 28 is the number of girls

2g+5 = 2*28+5 = 61 is the number of boys

Check: girls+boys = 28+61 = 89 total, so it confirms the correct count for each.

The largest number of sections into which the rectangle that is separated when 4 line segments are drawn through the rectangle is 11 sections .

A rectangle is given, that contains the line segment MN .

We can see that, if No lines are added in the rectangle then there is only 1 section.

When 1 line is added, the number of sections is 2

When 2 line is added, the number of sections is 4

When 3 lines are added, the number of sections are 7

So, on observing the pattern, each time  line is added, that many segments gets added to the number of segments formed.

So, when 3 lines are added there will be = 4 + 3 = 7 sections.

So, according to the pattern when 4 lines are added the number of segments = 7 + 4 = 11

Therefore, the number of sections formed are 11 sections.

-- The given question is incomplete , the complete question is

In the rectangle below, line segment MN separates the rectangle into 2 sections. What is the largest number of sections into which the rectangle can be separated when 4 line segments (including MN) are drawn through the rectangle?" --

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Answer:

a = 10.5  b = 8  

Step-by-step explanation:

a). Range = Biggest no. - Smallest no.

= 10.5 - 0 = 10.5

b). IQR = 8 - 0 = 8

c). MAD means mean absolute deviation.

\(\frac{7}{1600632}\) is the probability of winning the prize.

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

A number cannot be picked again once it has been selected. So, in order to answer this question, we employ the hypergeometric distribution.

\(P(X=x)=h(x,N,n,k)=\frac{C_{k,x}*C_{N-k,n-x} }{C_{N,n} }\)

The following formula yields the likelihood that x will succeed:

that where:

The number of successes is x.

N is the population's size.

The size of the sample is n.

The total number of desired outcome is k.

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

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

48 numbers, then N = 48

7 numbers picked, so n = 7

Total of desired outcomes(any number which the player picks is desired) is 7, so k = 7.

6 successes, so x = 6

\(P(X=6)=h(6,48,7,7)=\frac{C_{7,6+C_{46,1} } }{C48,7}=\frac{322}{73629072}=\frac{7}{1600632}\)

\(\frac{7}{1600632}\) is the probability of winning this prize

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The probability that at least 2 of the dinners selected are pasta dinners is approximately 0.858.

In a selection of 5 frozen dinners from a set of 18 (10 pasta, 5 chicken, and 3 seafood), we want to determine the probability of selecting at least 2 pasta dinners. To solve this problem, we can use the concept of combinations and the principle of inclusion-exclusion.

Calculate the probability of selecting exactly 2, 3, 4, or 5 pasta dinners:

: Sum up the probabilities calculated in Step 1 to obtain the probability of selecting at least 2 pasta dinners.

: Simplify the expression obtained in Step 2 to find the final probability.

After performing the calculations, we find that the probability of selecting at least 2 pasta dinners out of the 5 chosen is approximately 0.858. Therefore, there is an 85.8% chance that the student will select at least 2 pasta dinners.

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Answer:

\(y=2x^2-4x-16\)

Step-by-step explanation:

Factored form of a quadratic equation:

\(y=a(x-r_1)(x-r_2)\)

where:

Given:

Substitute the given values into the formula and expand:

\(\implies y=2(x-4)(x-(-2))\)

\(\implies y=2(x-4)(x+2)\)

\(\implies y=2(x^2+2x-4x-8)\)

\(\implies y=2x^2-4x-16\)

The problem describes three children riding on the edge of a merry-go-round with given masses. The task is to calculate the angular momentum of the system.

To calculate the angular momentum of the system, we need to consider the angular momentum of both the merry-go-round and the children.

Calculating the moment of inertia of the merry-go-round: \((1/2) × 142 kg × (1.60 m)^2 = 181.76 kg·m^2.\)

The angular momentum of the merry-go-round is then: angular momentum = \(181.76 kg·m^2 × (21.3 rpm × 2π/60) = 766.34 kg·m^2/s.\)

For the children, we calculate their individual angular momenta using the formula: angular momentum = mass × velocity × radius. Since the children are riding on the edge of the merry-go-round, their velocities are equal to the tangential velocity of the merry-go-round.

Calculating the angular momentum for each child:

Child 1: 22.4 kg × \((1.60 m × 21.3 rpm × 2π/60) = 471.95 kg·m^2/s\)

Child 2: 29.5 kg × \((1.60 m × 21.3 rpm × 2π/60) = 622.20 kg·m^2/s\)

Child 3: 40.8 kg × (1.60 m × 21.3 rpm × 2π/60) = 855.01 kg·m^2/s

The total angular momentum of the system is the sum of the angular momenta of the merry-go-round and the children:

Total angular momentum = \(766.34 kg·m^2/s + 471.95 kg·m^2/s + 622.20 kg·m^2/s + 855.01 kg·m^2/s = 2715.50 kg·m^2/s.\)

Therefore, the total angular momentum of the system consisting of the merry-go-round and the three children is \(2715.50 kg·m^2/s.\)

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Answer:

20% gained

Step-by-step explanation:

25 - 20 = 5

5 / 25 * 100 = 20%

Answer:  Which shows Angle P O Q?  Option (A)

(A)    Q   Line segments Q O and O P combine to form an angle.

         P

         R

         P

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Answer:

9 months

Step-by-step explanation:

Becase in 8 months he can pay 3200 but another month also need to pay ramining money

Answer:

Not really,maybe he just went in to find something,just that he didn't that's why maybe he didn't steal anything

Step-by-step explanation:

Answer:

Not necessarily. The robbers might've seen something or someone in your house and ran. They also could've heard something and thought you were home. So, if a robber breaks into your house but runs almost immediately you migt want to get your house checked out. Or, the robbers did think you were poor. Sorry.

Step-by-step explanation:

To solve this problem, we can use the binomial distribution formula, which calculates the probability of a certain number of successes (in this case, business travelers who say their reason for the trip was an internal company visit) out of a given number of trials (950 business travelers). The formula is:
P(x) = (n choose x) * p^x * (1-p)^(n-x)

Where:
- P(x) is the probability of getting x successes
- n is the number of trials (950 business travelers)
- x is the number of successes we're interested in (between 133 and 171)
- p is the probability of success (19% or 0.19)

To find the probability that between 133 and 171 business travelers say their reason for the trip was an internal company visit, we need to calculate the sum of the probabilities of getting 133, 134, 135,..., 170, 171 successes. This can be quite tedious to do by hand, but fortunately, we can use a calculator or a statistical software program to do it for us.

Assuming that we use a calculator or software, we can find that the probability of getting between 133 and 171 business travelers who say their reason for the trip was an internal company visit is approximately 0.919. This means that out of three random paragraphs of this length, it's likely that one would show the probability of the business travelers who say their reason for the trip was an internal company visit to be between 133 and 171.

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To prove that angle W is equal to angle Z in a kite-shaped structure where WX = ZX and WY = ZY, we can use the fact that opposite angles in a kite are congruent.

In a kite, the diagonals are perpendicular bisectors of each other, and the opposite angles are congruent. Let's denote the intersection of the diagonals as O.

We have the following information:

- WX = ZX (given)

- WY = ZY (given)

- OW is the perpendicular bisector of XY

We need to prove that angle W is equal to angle Z.

Proof:

Since OW is the perpendicular bisector of XY, we know that angle XOY is a right angle (90 degrees).

Using the fact that opposite angles in a kite are congruent, we can conclude that angle WOY is equal to angle ZOY.

Also, since WX = ZX, and WY = ZY, we have two pairs of congruent sides. By the Side-Side-Side (SSS) congruence criterion, triangles WOX and ZOX are congruent, and triangles WOY and ZOY are congruent.

Since the corresponding angles of congruent triangles are equal, we can say that angle WOX is equal to angle ZOX, and angle WOY is equal to angle ZOY.

Now, let's consider the quadrilateral WOZY. The sum of its angles is 360 degrees. We know that angle WOX + angle WOY + angle ZOX + angle ZOY = 360 degrees.

Substituting the equal angles we found earlier, we have:

angle W + angle W + angle Z + angle Z = 360 degrees.

Simplifying, we get:

2(angle W + angle Z) = 360 degrees.

Dividing by 2, we have:

angle W + angle Z = 180 degrees.

Since the sum of angle W and angle Z is 180 degrees, we can conclude that angle W is equal to angle Z.

Therefore, we have proven that angle W is equal to angle Z in the given kite-shaped structure.

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Answer:

p=1

Step-by-step explanation:

5(p+3)=18+2p

5p+15=18+2p

5p-2p=18-15

3p=3

p=3

3

p=1

At t = 1, the surge function C(t) is increasing and decreasing at an inflection point.

To determine the behavior of the surge function C(t) at t = 1, we need to analyze its first and second derivatives.

The first derivative of C(t) with respect to t is:

C'(t) = 10e^(-0.5t) - 5te^(-0.5t)

The second derivative of C(t) with respect to t is:

C''(t) = 2.5te^(-0.5t) - 10e^(-0.5t)

To find out whether C(t) is decreasing or increasing at t = 1, we need to evaluate the sign of C'(t) at t = 1. Plugging in t = 1, we get:

C'(1) = 10e^(-0.5) - 5e^(-0.5) = 5e^(-0.5) > 0

Since C'(1) is positive, we can conclude that C(t) is increasing at t = 1.

To determine whether C(t) is increasing at an inflection point or decreasing at a maximum, we need to evaluate the sign of C''(t) at t = 1. Plugging in t = 1, we get:

C''(1) = 2.5e^(-0.5) - 10e^(-0.5) = -7.5e^(-0.5) < 0

Since C''(1) is negative, we can conclude that C(t) is decreasing at an inflection point at t = 1.

In summary, at t = 1, the surge function C(t) is increasing and decreasing at an inflection point.

The fact that the second derivative is negative tells us that the function is concave down, meaning that its rate of increase is slowing down. Thus, even though C(t) is increasing at t = 1, it is doing so at a decreasing rate.

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The correct statement is: the volume of the cylinder is 8 cubic inches more than that of the cone.

The volume of cone (V) = 1/3 * πr²h

Volume of cylinder (V) = πr²h

Where, r is the radius of their bases.

The base area formula for the cone = πr²

Calculate the area of the base of the cone that has a radius (r) of 2.5 in:

Area of the base of the cone = π(2.5)² ≈ 19.6

The volume of the cone (V) = 1/3 * πr²h = 1/3 * π * 2.5² * 6.5

≈ 42.5 cubic inches

Volume of cylinder (V) = πr²h = π * 2² * 4

≈ 50.3 cubic inches

The difference in volume = 50.3  - 42.5

= 7.8 ≈ 8 cubic inches

Therefore, the only statement that is true is: the volume of the cylinder is 8 cubic inches more than that of the cone.

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Answer:

A squared+B squared=Csquared

Step-by-step explanation:

Use Pythagorean theorem.

Answer: its easy okay all u have to do is

find the missing angle to the nearest tenth like this

i will do one and it should help with the rest

Step-by-step explanation:

so u it's 30 for the first one

The sum of 7/10 and 2/5 is 29/50.

Answer: 11/10 is the correct answer to this question.

Step-by-step explanation:

First, we take 7/10 and 2/5. The L.C.M of denominators is equal to 10. As the denominator in 7/10 is already 10 we don't change it but as the denominator in 2/5 is 5 we multiply the numerator and denominator with 2 in order to equalize both. Hence we get 7/10 and 4/10. On adding both the numerators we get 11/10.

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Answer:

Step-by-step explanation:

I think the answer should be (-6,-1)

Thanks From India

Answer:

its 10

Step-by-step explanation:

Solution is x≈3.2  & y≈22.8

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

An online furniture store sells chairs for $200 each and tables for $450 each.

Every day, the store can ship a maximum of 26 pieces of furniture and must sell at least $6000 worth of chairs and tables.

Let, x represents the number of tables sold and y represents the number of chairs sold.

Then, the inequalities are,

we get,

$200y + $450x ≥ 6000

and, x+y≤26

Solving we get,

x≈3.2

y≈22.8

Hence, we get, Solution is x≈3.2  & y≈22.8

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The common factor from each expression in 6a^9 + 18a^6 - 6a^4 is 6a⁴

6a^9 + 18a^6 - 6a^4

Factors of

The highest common factor of 6a and 18a is 6a

= 6a⁴(a^5 + 3a² - 1)

Check:

6a⁴(a^5 + 3a² - 1)

= 6a^9 + 18a^6 - 6a^4

Therefore, the common factor from each expression in 6a^9 + 18a^6 - 6a^4 is 6a⁴

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Answer:

-8

Step-by-step explanation:

do exactly the same as you would for a positive number.

a negative and a positive make a negative so your answer should be negative

Answer:

-64 divided by 8 Equals

-8

The solution sets for the inequality 10+y<10-3y and -6≥10-8x are y>-2.5 and x≤0.75, respectively.

Inequality is a mathematical concept used to compare two expressions and determine whether one is larger or smaller than the other. It is represented by symbols such as <, >, ≤, and ≥.

To find the solution set of 10+y<10-3y, we must first isolate the variable y on one side of the equation.

To do this, we need to subtract 10 from both sides of the equation, leaving us with y<-10-3y.

We can then divide both sides by -4 to get

=> y>-2.5.

Thus, the solution set of 10+y<10-3y is y>-2.5.

To find the solution set of -6≥10-8x, we must first isolate the variable x on one side of the equation.

To do this, we need to subtract 10 from both sides of the equation, leaving us with

=> -6≥-8x.

We can then divide both sides by -8 to get

=> x≤0.75.

Thus, the solution set of -6≥10-8x is x≤0.75.

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Answer: The equation of a line can be written in slope-intercept form as:

y = mx + b

where m is the slope and b is the y-intercept.

We are given that the line has a slope of -3 and passes through the point (2, 2). We can use the point-slope form of the equation of a line to find the equation of this line:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope.

Substituting the given values, we get:

y - 2 = -3(x - 2)

Expanding the right side:

y - 2 = -3x + 6

Adding 2 to both sides:

y = -3x + 8

Therefore, the equation of the line that has a slope of -3 and passes through the point (2, 2) is:

y = -3x + 8.

So the correct answer is:

y = -3x + 8

Step-by-step explanation:

Answer:

y=-3x+8

3x+y=8

y-2=-3(x-2)

u have a blessed day bru

Each goldfish cost less than $3.

Now, According to the question:

As per the question information:

Tyrone went to the pet store to buy 5 goldfish for his fish tank.

He spent less than $15 in all to buy the fish.

Let x represent how much each goldfish cost.

which inequality describes the problem?

5x < 15 ,    5x ≤ 15

To solve the inequality :

Based on the given condition :

Formulate:

x = 15 ÷ 5

Reduce the fraction :

x = 3

Hence, Each goldfish cost less than $3.

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The given question is incomplete, the complete is :

Tyrone went to the pet store to buy $5 goldfish for his fish tank. He spent less than$15  in all to buy the fish. Let x represent how much each goldfish cost. Which inequality describes the problem?

5x < 15 ,    5x ≤ 15

Solve the inequality. Then, complete the sentence to describe the solution. Each goldfish cost less than $

Answer:

42.7

Step-by-step explanation:

We have to blend two mixtures of ethanol (E7 and E10) to make an E9 mixture.

We know that the amount of E10 mixture is 4000 gal.

Let x be the amount of E7 mixture.

As we have x gallons of E7 and 4000 gallons of E10, the volume of the E9 mixture will be (x+4000).

The volume of ethanol in the E7 mixture will be 0.07*x gallons.

The volume of ethanol in the E10 mixture is 0.1*4000 = 400 gallons.

The volume of ethanol in the E9 mixture will be 0.09*(x+4000) gallons.

As the sum of the ethanol volume in the E7 and E10 mixtures has to be equal to the ethanol in the E9 mixture, we can write:

We can use this equation to solve for x:

Then, the volume of the E7 mixture has to be 2000 gallons.

Answer: 2000 gallons of E7 mixture.