I need help determining if the following lengths of a given triangle is acute, right, or obtuse.

Answer:

9880

Step-by-step explanation:

\(C^3_{40}=\frac{40!}{3!(40-3)!} =\frac{40!}{3!*37!}=13*19*40=9880.\)

Answer: 319.74 square mm

Step-by-step explanation:

\(6(7.3)^2=319.74\)

so here we get two outcomes one is 2 and other is 4.

so there is total 2 outcomes.

total no. of possibility is 5

so the probability of waiting between 2 and 4 minutes to use the ATM is 2/5.

EXPLANATION

Given the equations in the problem, we just need to replace each p-term by -1/4 in order to see if this is a solution to each equation:

A.) 3*(-1/4) +2 = 5/4 = 5/4 --------> p = -(1/4) is a solution of this equation. ✔✔

B.) 5*(-1/4) - 2 = -13/4 ≠ 3/4 -------> p = -(1/4) is NOT a solution of this equation.✘✘

C.) 3*(-1/4) -2 = -11/4 ≠ 5/4 -------> p = -(1/4) is NOT a solution of this equation.✘✘

D.) 5*(-1/4) +2 = -11/4 ≠ 5/4 -------> p = -(1/4) is NOT a solution of this equation.✘✘

The correct answer is option D. 250 milliliters, is the capacity of a small cup. This is a proportion exercise.

It is given that, the  total capacity of two large cups and two small cups is 1,500 milliliters. If the total capacity of one large cup and two small cups is 1,000 milliliters.

To find the capacity of a small cup

Let small cup capacity  be 's' and large cup capacity be 'l'

From the given information we can write,

2l + 2s = 1500

Then l + s = 750

one large cup and two small cups is 1,000 milliliters.

l + 2s = 1000

l + s + s = 1000

(l + s) + s = 1000

750 + s = 1000

s = 1000 - 750 = 250

The correct answer is option D. 250 milliliters

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Full Question:

The total capacity of two large cups and two small cups is 1,500 milliliters. If the total capacity of one large cup and two small cups is 1,000 milliliters, what is the capacity of a small cup?

A. 375 milliliters

B. 200 milliliters

C. 500 milliliters

D. 250 milliliters

If Jolene invests her savings in two bank accounts, one paying 3% and the other paying 12% interest per year. The amount that was invested in each account is

Let x  represent the amount at the 12% account.

Let the  amount at 3% interest account be 2x  dollars.

Setup equation:

0.012×x + 0.03×(2x) = 5382

Hence,

x = 5382 / 0.12 + 0.03 × 2

x = 5382 / 0.12 + 0.06

x = 5382 / 0.18

x = $29,900 (at 12%)

Amount at 3% interest account be 2x

2($29,900)

= $59,800 (at 3%)

Therefore she invested $29,900 and $59,800.

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The price of the two stocks will be same in 1 hours .

in the question ,

it is given that

the price of the stock A at 9 A.M is $15.21

price increases at the rate of 0.07 each hour .

so the price of the stock A at 12 P.M. is 15.21 + 0.21 = $15.42

and the price of the stock A after x hours from 12 P.M. is given by the equation

stock A = 15.42 + 0.07(x)

the price of stock B at 12 P.M. is $15.96

price decreases at the rate of 0.15 each hour .

the price of the stock B after x hours from 12  P.M. is given by the equation

stock B = 15.96 - 0.15(x)

since the price of the two stocks is same , we equate both the equations .

15.42 + 0.07(x) = 15.96 - 0.15(x)

15.42 + 0.07x = 15.96 - 0.15x

0.15x + 0.07x = 15.42 - 15.21

0.22x = 0.21

x = 0.9545

x ≈ 1

Therefore , The price of the two stocks will be same in 1 hours .

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Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).

The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".

These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).

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Answer:

How many pink erasers do the students in your class have?

The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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the first one is 0.00001

Step-by-step explanation:

its on the screen

Answer:

Try the underline first

1. 1/7^7 or 10^-6

2. 1/100000 or 10^-5

3. 1/9 or 3^-2

4. 1/512 or 2^-9

I am going to draw the solution:

The answer is 2.5.

Using both the trapezoid rule and Simpson's rule with n = 6 to approximate the arc length of the curve y = e^x^2 for x from 0 to 1,

Trapezoid rule: L ≈ 18.954

Simpson's rule: L ≈ 18.947

To use the trapezoid rule to approximate the arc length of the curve y = e^x^2 for x from 0 to 1, we first need to compute the values of y at the endpoints and the midpoint of each subinterval:

x                            y

0                         1

0.2                      1.221

0.4                      1.648

0.6                      2.718

0.8                      5.522

1                         15.155

Then we can use the trapezoid rule formula:

L ≈ ∆x/2 × [f(x₀) + 2f(x₁) + 2f(x₂) + ... + 2f(xₙ₋₁) + f(xₙ)]

where ∆x = (1-0)/6 = 1/6 and n=6.

Substitute the values, we get:

L ≈ 1/12 × [1 + 2(1.221) + 2(1.648) + 2(2.718) + 2(5.522) + 15.155]

L ≈ 18.954

Now, let's use Simpson's rule with n = 6 to approximate the arc length of the same curve.

To use Simpson's rule, we first need to compute the values of y at the endpoints, the midpoint of each subinterval, and the two quarter-points of each subinterval:

x                                    y

0                                   1

0.2                                1.221

0.4                                1.648

0.6                               2.718

0.8                               5.522

1                                  15.155

x                               y

0.1                             1.048

0.3                            1.352

0.5                            1.959

0.7                            3.036

0.9                            7.261

Then we can use the Simpson's rule formula:

L ≈ ∆x/3 * [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + ... + 2f(xₙ₋₂) + 4f(xₙ₋₁) + f(xₙ)]

where ∆x = (1-0)/6 = 1/6 and n=6.

Substituting the values, we get:

L ≈ 1/3 × [1 + 4(1.048) + 2(1.221) + 4(1.352) + 2(1.648) + 4(1.959) + 2(2.718) + 4(3.036) + 2(5.522) + 15.155]

L ≈ 18.947

Therefore, the arc length of the curve y = e^x^2 for x from 0 to 1, approximated using Simpson's rule with n = 6, is approximately 18.947.

Both methods provide very similar results, with Simpson's rule being slightly more accurate.

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Answer:

20.

Step-by-step explanation:

5! / (n - r)!

= (5*4*3*2*1) /  3*2*1

= 5*4

= 20.

The value of x for which the two lines are parallel is given as follows:

x = 60º.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

x + 2x = 180

3x = 180º

x = 180º/3

x = 60º.

The figure is given by the image presented at the end of the answer.

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Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

Answer:

Step-by-step explanation:

As per diagram we have:

As per 30° right triangle property:

Area of triangle:

Answer:

The answer would be A

You are trying to find an area and A is the only correct way to do an area.

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

Answer:

  a/b = 2/3

Step-by-step explanation:

  (81/16)^(-1/4) = (16/81)^1/4 = ((2^4)/(3^4))^(1/4) = (2^(4/4))/(3^(4/4)) = 2/3

_____

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  a^-b = 1/(a^b)

And the reciprocal of a fraction is ...

  1/(a/b) = b/a

Answer:

C.

Step-by-step explanation:

f(3) is referring to 3 on the left side and it is beside 1 which is on the left so it's 1.

Answer:

Step-by-step explanation:

4.  m < 1 + m < 4 + m < 5 = 180

(x - 4y) / w = 9

Multiply both sides by w

x - 4y = 9w

Add 4y to both sides

x = 9w + 4y

The probability of flipping heads twice followed by tails three times is 1/32 or approximately 0.031.

Each coin flip is an independent event, meaning the outcome of one flip does not affect the outcome of any other flip. Therefore, the probability of getting heads on any one flip is always 1/2, regardless of previous outcomes.

Using this information, we can calculate the probability of flipping heads twice followed by tails three times as:

P(heads) = 1/2

P(tails) = 1/2

P(heads on first flip) = 1/2

P(heads on second flip) = 1/2

P(tails on third flip) = 1/2

P(tails on fourth flip) = 1/2

P(tails on fifth flip) = 1/2

P(heads twice followed by tails three times)

= P(heads on first flip) x P(heads on second flip) x P(tails on third flip) x P(tails on fourth flip) x P(tails on fifth flip)

= (1/2) x (1/2) x (1/2) x (1/2) x (1/2)

= 1/32

Therefore, the probability of flipping heads twice followed by tails three times is 1/32 or approximately 0.031.

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Answer:

They are critical ecosystem service providers for the sustenance of humanity.The soil system is a dynamic ecosystem that has inputs, outputs, storages and flows. The quality of soil influences the primary productivity of an area..

Step-by-step explanation:

mark me the Brainliest pls

If it's not Symmetric Property of Similarity, my bet's on possibly Symmetric Property of Congruence.

If he drives the car 218.4 miles in 2.4 hours. Then the speed of the car will be 91 miles per hour.

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units of time, then that object's speed will be given as

Speed = Distance traveled/Time taken

        S = D/T

Phillip is competing in a race car competition.

He drives 218.4 miles in 2.4 hours.

Then the speed of the car will be

S = 218.4/2.4

S = 91 miles per hour

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