(0,4)
(3,-2)

The slope is m
and the y-intercept is b =

Answer:

0.4

Step-by-step explanation:

The question is to find the problity of random events.

The total:17+8+14+16=55

8+14=22

p=22/55=2/5=0.4

The formula for time, t, is: t = (A - P)/Pr

This formula tells us how long it will take for a principal investment of P dollars to grow to a value of A dollars at a simple annual interest rate of r.

To solve the formula A = P + Prt for time, t, we need to isolate the variable t.

First, we can start by subtracting P from both sides of the equation to get:

A - P = Prt

Next, we can divide both sides by Pr to isolate t:

(A - P)/Pr = t

So, the formula for time, t, is:

t = (A - P)/Pr

This formula tells us how long it will take for a principal investment of P dollars to grow to a value of A dollars at a simple annual interest rate of r.

It's important to note that this formula assumes a constant interest rate, so it may not accurately predict the actual growth of an investment in real life where interest rates can fluctuate. Nonetheless, it can be a useful tool for estimating the time it takes to reach a certain investment goal.

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Answer:

Answer D or 15

Step-by-step explanation:

I took the test

EXPLANATION

Given the dimensions of a rectangular prism:

Length = 113 yards

Width: 212 yards

Height: 4 yards

We have to find its volume.

The volume of a prism is the product of its dimensions,

Hence, the volume of this prism is 95,824 cubic yards.

Answer:

-15 is the next number in the sequence

Answer:

(4r-5)(r+1)=0

Step-by-step explanation:

If you multiply this out, you will get the original equation.

Answer:

m<C = 110

Step-by-step explanation:

<a = <b

<b = 35 so,

<a = 35

<c = x

<a + <b + <c = 180

35 + 35 + x = 180

70 + x = 180

x = 180 - 70

x = 110

The complex numbers -2.7e^(√7) + 4.3e^(√5) can be expressed as approximately -6.488 - 0.166i in rectangular form and approximately 6.494 ∠ -176.14° in polar form.

To express the given complex numbers in rectangular form and polar form, we need to understand the representation of complex numbers using exponential form and convert them into the desired formats. In rectangular form, a complex number is expressed as a combination of a real part and an imaginary part in the form a + bi, where 'a' represents the real part and 'b' represents the imaginary part.

In polar form, a complex number is represented as r∠θ, where 'r' is the magnitude or modulus of the complex number and θ is the angle formed with the positive real axis.

To convert the given complex numbers into rectangular form, we can use Euler's formula, which states that e^(ix) = cos(x) + isin(x), where 'i' is the imaginary unit. By substituting the given values, we can calculate the real and imaginary parts separately.

The real part can be found by multiplying the magnitude with the cosine of the angle, and the imaginary part can be obtained by multiplying the magnitude with the sine of the angle.

After performing the calculations, we find that the rectangular form of -2.7e^(√7) + 4.3e^(√5) is approximately -6.488 - 0.166i.

To express the complex numbers in polar form, we need to calculate the magnitude and the angle. The magnitude can be determined by calculating the square root of the sum of the squares of the real and imaginary parts. The angle can be found using the inverse tangent function (tan^(-1)) of the imaginary part divided by the real part.

Upon calculating the magnitude and the angle, we obtain the polar form of -2.7e^(√7) + 4.3e^(√5) as approximately 6.494 ∠ -176.14°.

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Answer:

you can get 44 bagels

Step-by-step explanation:

20/.45=44.44 (round down) 44 bagels

The surface of revolution formed by revolving the given curve around the x-axis is \(S = \pi * (2/3) * (37^{(3/2)} - 1)\).

What is curve?

In mathematics, a curve refers to a continuous and smooth geometric object that can be represented by a set of points in a coordinate system. It is a one-dimensional figure that can be either straight or curved.

To find the surface of revolution when the curve defined by \(x(t) = t^2 - 5\)and y(t) = 4t, for t ∈ [0, 3], is revolved around the x-axis, we can use the formula for the surface area of revolution:

S = 2π∫[a,b] y(t) * \(\sqrt(1 + (dx/dt)^2) dt\)

where [a, b] represents the interval of t-values, and dx/dt is the derivative of x(t) with respect to t.

First, let's calculate dx/dt:

\(dx/dt = d/dt(t^2 - 5) = 2t\)

Now we can substitute the expressions for y(t) and dx/dt into the surface area formula:

S = 2π∫[0,3] (4t) * \(\sqrt(1 + (2t)^2) dt\)

To solve this integral, let's simplify the expression inside the square root:

\(1 + (2t)^2 = 1 + 4t^2 = 4t^2 + 1\)

Now the surface area formula becomes:

S = 2π∫[0,3] (4t) * \(\sqrt(4t^2 + 1) dt\)

To integrate this expression, we can use substitution. Let \(u = 4t^2 + 1\), then du = 8t dt:

S = π∫[1,37] sqrt(u) du (limits of integration change due to the substitution)

Now we integrate with respect to u:

\(S = \pi * (2/3) * u^{(3/2)} |_1^{37}\)

Applying the limits of integration:

\(S = \pi * (2/3) * (37^{(3/2)} - 1^{(3/2)})\)

Finally, we can calculate the surface of revolution:

\(S = \pi * (2/3) * (37^{(3/2)} - 1)\)

This is the surface area of the revolution around the x-axis for the given curve.

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Answer:

x = 2.5

Step-by-step explanation:

added in the picture

Answer:

10?

Step-by-step explanation:

it is either 10x or 100x :)) can i get brainliest? hope ur having a good day btw :DD

The place value of 2 will be 100 times greater than before.

Place value is a numerical value that every digit in a number has based on its position.

For example; in a number 2398, the place value of 3 is 300, as it is placed at hundredth place.

Given that, A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place,

At tens place, the value of a number will multiplied by 10 as it is at tenth place,

At tens place = 20

Similarly,

At thousand place, the value of a number will multiplied by 100 as it is at thousand place,

At thousand place = 2000

2000 / 20 = 100

Hence, the value of 2 will be 100 times greater than before.

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Answer:

20

Step-by-step explanation:

\(4 \times 5 = 20\)

Answer:

4,060,000,000

Step-by-step explanation:

Take 4.06 remove the decimal then add a zero for the number beside ten. So 10^7 add 7 zeros behind 406.

Answer:

c; y = 2x

Step-by-step explanation:

if it was without the coupon the fee would be the $2 per mile (2x) with the $35 which would be

y = 2x + 35

but with the coupon the $35 reservation is removed so only 2x is left

y = 2x

The probability that materials to the construction site will not be delivered on schedule is 0.435. And the probability that it will be caused by train transportation is 0.3448 (rounded to four decimal places).

Given: 73% of the materials are transported by trucks and the remaining 27% by trains.

The probability of on-time delivery by trucks is 0.70, whereas the corresponding probability by trains is 0.85.

To find: The probability that materials to the construction site will not be delivered on schedule.

Solution: Let A be the event that materials are transported by truck and B be the event that materials are transported by train. Since 73% of the materials are transported by trucks, then P(A) = 0.73 and since 27% of the materials are transported by trains, then P(B) = 0.27

Also, the probability of on-time delivery by trucks is 0.70, then

P(On time delivery by trucks) = 0.70

And the probability of on-time delivery by trains is 0.85, then P(On time delivery by trains) = 0.85

The probability that materials to the construction site will not be delivered on schedule

P(Delayed delivery) = P(not on time delivery)

P(Delayed delivery by trucks) = P(not on time delivery by trucks) = 1 - P(on time delivery by trucks) = 1 - 0.70 = 0.30

P(Delayed delivery by trains) = P(not on time delivery by trains) = 1 - P(on time delivery by trains) = 1 - 0.85 = 0.15

The probability that materials to the construction site will not be delivered on schedule

P(Delayed delivery) = P(Delayed delivery by trucks) ⋃ P(Delayed delivery by trains) = P(Delayed delivery by trucks) + P(Delayed delivery by trains) - P(Delayed delivery by trucks) ⋂ P(Delayed delivery by trains)P(Delayed delivery) = (0.3) + (0.15) - (0.3) x (0.15)

P(Delayed delivery) = 0.435

Venn diagram: Probability that it will be caused by train transportation = P(Delayed delivery by trains) / P(Delayed delivery)

Probability that it will be caused by train transportation = 0.15 / 0.435

Probability that it will be caused by train transportation = 0.3448 (rounded to four decimal places)

Therefore, the probability that materials to the construction site will not be delivered on schedule is 0.435. And the probability that it will be caused by train transportation is 0.3448 (rounded to four decimal places).

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Answer 1:

D. 24 sq feet

The formula to find surface area of a cube is \(a=6a^{2}\)

Substitute 2 for a, \(2^{2} = 4\)

6 x 4 = 24, so 24 sq feet

Answer 2:

B. 62 sq feet

The formula to find surface area of a rectangular prism is \(a = 2(wl+wh+hl)\)

Substitute 3 for w, 5 for l, 2 for h and multiply

a = 62 sq feet

Answer 3:

C. 1296 sq inches

The formula to find surface area of a rectangular prism is \(a = 2(wl+wh+hl)\)

Substitute 24 for w, 12 for l, 10 for h and multiply

a = 1296 sq inches

the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

To form a third-degree polynomial function with real coefficients such that the complex number 6 + i and the real number 7 are zeros, we can use the fact that complex zeros come in conjugate pairs.

Given that 6 + i is a zero, its conjugate 6 - i will also be a zero. Thus, the zeros of the polynomial are 6 + i, 6 - i, and 7.

To find the polynomial function, we start by forming the factors corresponding to each zero:

(x - (6 + i))   --> This corresponds to the zero 6 + i

(x - (6 - i))   --> This corresponds to the zero 6 - i

(x - 7)        --> This corresponds to the zero 7

To simplify the factors, we multiply them out:

(x - (6 + i))(x - (6 - i))(x - 7)

= ((x - 6) - i)((x - 6) + i)(x - 7)

= ((x - 6)² - i²)(x - 7)

= ((x - 6)² + 1)(x - 7)

Expanding the squared term:

= (x² - 12x + 36 + 1)(x - 7)

= (x² - 12x + 37)(x - 7)

Therefore, the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

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\(10=2d\)

Given:

The sum of the first three terms of a sequence Is 42.

The fourth term is 24.

To find:

The  u₁ and the common difference

Step-by-step explanation:

nth term of a sequence is

\(u_n=u_1+(n-1)d\)

where, u₁ is first term and d is common difference.

4th term is 24.

\(u_4=u_1+(4-1)d\)

\(24=u_1+3d\)           ...(i)

Sum of nth term of an AP is

\(S_n=\dfrac{n}{2}[2u_1+(n-1)d]\)

Sum of first three terms is 42.

\(S_3=\dfrac{3}{2}[2u_1+(3-1)d]\)

\(42=\dfrac{3}{2}[2u_1+2d]\)

Divide both sides by 3.

\(14=u_1+d\)          ...(ii)

On subtract (ii) from (i), we get

\(10=2d\)

\(5=d\)

Put d=5 in equation (ii).

\(14=u_1+5\)

\(14-5=u_1\)

\(9=u_1\)

Therefore, the first term is \(u_1=9\) and common difference is \(d=5\) .

Answer:

Option C.

The two sums are equal.

Step-by-step explanation:

In geometry, the sum of the exterior angles of any polygon will always give 360 degrees. This is regardless of the type of polygon, whether it is a triangle, quadrilateral, pentagon, or a decagon.

This means that the sum of the exterior angles of a square is equal to that of the pentagon.

As the number of sides that they have increases, the sizes of their internal angles get smaller, making the sum of their external angles remain at 360 degrees

The equation of the transformed exponential function g(x) is g(x) = 2^-x - 1

From the question, we have the following parameters that can be used in our computation:

Parent function: y = 2^x

The graph of the transformed exponential function g(x) passes through the points  (-2,3), (-1,1), (0,0), (1,-0.5) and (2, -0.75)

So, we have the following transformation steps:

1st Transformation:

Reflect y = 2^x across the y-axis

So, we have

y = 2^-x

2nd Transformation:

Translate y = 2^-x down by 1 unit

So, we have

y = 2^-x - 1

This means that

g(x) = 2^-x - 1

Hence, the equation of the function g(x) is g(x) = 2^-x - 1

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Answer:

2hours

Step-by-step explanation:

2.5×8

=20

36-20

=16

16/8

=2hours

Answer: 40

Step-by-step explanation:

25/100 x ? = 10

multiply both sides by 100/25

x= 10 x 100/25

x=10

To determine if the significant effect in the hand-signature condition is large or important, we would need to know the effect size, Cohen's d, associated with the test statistic. The effect size measures the magnitude or strength of the relationship between the variables being studied.

It provides a standardized measure that allows us to compare the effect across different studies.
In this case, knowing the effect size would give us a better understanding of the practical significance of the results. For example, a large effect size would suggest that the hand-signature condition has a substantial impact, while a small effect size would indicate a more modest effect.
While statistical significance tells us that the results are unlikely to occur by chance, it does not provide information about the size of the effect. Therefore, option c, "We would need to know the effect size, Cohen's d, associated with this test statistic," is the correct answer. By calculating Cohen's d, we can determine if the significant effect in the hand-signature condition is large or important.
It's important to consider both statistical significance and effect size when interpreting research findings.

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Answer:

P = 0.2517

Step-by-step explanation:

In this case we must calculate the probability of event, which would be the number of specific events (that is, at least one woman and the rest men, 4), then it would be to choose 1 of 6 women by 4 of 9 men divided by the number of total events, which would be to choose 5 (committee size) out of 15 (9 men + 6 women, total number of people)

P (at least one woman) = 6C1 * 9C4 / 15C5

we know that nCr = n! / (r! * (n-r)!)

replacing we have:

6C1 = 6! / (1! * (6-1)!) = 6

9C4 = 9! / (4! * (9-4)!) = 126

15C5 = 15! / (5! * (15-5)!) = 3003

Therefore it would be:

P (at least one woman) = 6 * 126/3003

P = 0.2517

That is, approximately 1 out of 4 women.

The rich citizen (R) and the poor citizen (P) have different incomes and preferences regarding road cleaning services. By maximizing social surplus, the government aims to determine the optimal level of cleaning and tax burden.

The government is considering public provision of cleaning services but can only impose a single tax rate on both citizens.

a) Since R values the road cleaning service more than P, it is expected that mR (cleaning demanded by R) will be higher than mP (cleaning demanded by P). This expectation is based on the fact that R depends on the road for work and has a higher income, while P works in Khatmal and has a lower income, indicating different preferences for road cleaning.

b) To solve mathematically, we need to maximize the utility functions of R and P. Taking derivatives of their respective utility functions with respect to m, we can set them equal to zero to find the optimal levels of cleaning demanded by each citizen (mR and mP). Substituting these values back into the utility functions will give us the resulting utility of R and P. The social surplus in the economy can be calculated as the sum of their utilities.

c) To maximize social surplus, the government should provide the level of cleaning that equates to the marginal utility of cleaning for R and P (mR = mP). Under this level of provision, the utilities of R and P may differ from those in part b due to the equalization of cleaning demanded. The social surplus can be calculated as the sum of their utilities under this provision.

d) The sum of the individual's marginal rates of substitution may not equal the price ratio because the tax imposed by the government affects the relative price of the private good for each citizen. This tax burden may alter their preferences and marginal rates of substitution.

e) With the ability to distinguish between R and P for differential taxation, the government can provide a different amount of cleaning. The tax burden is divided according to the tax rates imposed on R and P. The sum of the individual's marginal rates of substitution can be calculated, and it may differ from part d due to the differential taxation. The resulting individual and social surplus can also be calculated under this scenario.

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