Enter the terms and the coefficients of the expression.
5x -50y - 40

Answer:

40/3 hrs = 13.3 hrs

Step-by-step explanation:

Let me = K , my brother = P

K digs a hole in 8 hrs

K in 1 hr digs 1/8 of a hole

K + P dig a hole in 5 hrs

K + P in 1 hr dig 1/5

Let the portion of the hole Plan digs in 1 hr be x

1/8 + x = 1/5

x = 3/40

3/40 of the hole is dug by P in 1 hr

1 of the hole is dug by P in 40/3 hrs

= 40/3 hrs

=13.3 hrs

My brother alone will take 13 hours and 20 minutes to dig the same hole.

Work is the completion of any task for example if you have done your homework in 5 hours then you have done 5 hours.

Work is basically the time duration of any task which you have done.

Given that,

I take 8 hours to dig a hole

8 hours of my → 1 work

1 hour of my → 1/8 part of the work

My Brother and I take 5 hours,

5 hours of combined → 1 work

1 hour of combined  → 1/5 part of work

Let's say my brother alone takes T time to dig the hole,

T hour of brother  → 1 work

1 hour of brother → 1/T part of work

Now,

1 hour of my work + 1 hour of my brother's work = 1 hour of our combined work

1/8 + 1/T = 1/5

1/T = 3/40

T = 13.333 = 13 hour and 20 minutes.

Hence "My brother alone will take 13 hours and 20 minutes to dig the same hole".

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Answer:

Pretty sure it’s D

Step-by-step explanation:

Answer:

I'm so sorry I don't know the answer but I thought you should know that your pfp is pogchamp :))

Dream Team is life :p

Answer:

yes she will

Step-by-step explanation:

just find the perimeter

14+14+10+10 or (14*2)+(10*2)

the add and you get 48 feet

48<50

Hope this helps

The area bounded by the polar curve r = sin(θ) + cos(θ), where θ ranges from 0 to π/2, is equal to 1. The first paragraph provides the summary of the answer.

To find the area bounded by the polar curve, we can integrate the expression for the area element, which is given by 1/2 r^2 dθ.

In this case, the polar curve is r = sin(θ) + cos(θ), and we want to find the area for 0 ≤ θ ≤ π/2.

We can rewrite the polar curve as r^2 = (sin(θ) + cos(θ))^2.

Expanding and simplifying, we have r^2 = sin^2(θ) + 2sin(θ)cos(θ) + cos^2(θ).

Using the trigonometric identity sin^2(θ) + cos^2(θ) = 1, we can simplify the expression to r^2 = 1 + sin(2θ).

Now we can integrate the area element: A = (1/2) ∫[0,π/2] (1 + sin(2θ)) dθ.

Integrating, we get A = (1/2) [θ - (1/2)cos(2θ)] from 0 to π/2.

Evaluating the integral limits, we have A = (1/2) [(π/2) - (1/2)cos(π)] - (1/2) [(0) - (1/2)cos(0)].

Simplifying, A = (1/2) [(π/2) + (1/2)].

Therefore, the area bounded by the polar curve r = sin(θ) + cos(θ), where θ ranges from 0 to π/2, is equal to 1.

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Step-by-step explanation: Answer is 10

For this type of problem, we need to create a slope intercept equation for both.

Let's start by making one for plan a. We know that there is 20 dollars per month, this is the y intercept. Now, although it says per month which can change by x, the problem is mainly asking for minutes.

Remember, a slope intercept equation is

y=mx+b

M is the slope, and x is multiplied to the slope. The slope for an example can be used for this, adam eats 5 apples per day or x, how many apples can he eat in 5 days? We are wanting to know how many he can eat in 5 days, so we of course would multiply 5 by 5. This is basically a slope equation.

So, for plan a, we have y=0.05x+20 where x is minutes

For plan b, we should get

y=0.10x+15 where x is also minutes. The problem is asking use to find which value that we plug in will make both plan a and b correct. Basically, the value we find is x, so we solve for x by setting the two equations equal.

0.05x+20=.10x+15 Use inverse operations

20=.05x+15

5=.05x

x=10

We know if we plug in 10 for x, both would equal the same or 21 dollars.

The subtended arc for the second circle is 31.2 cm long.

Given a circle with a radius of 6 cm and a subtended arc of 15.6 cm, we can find the angle's measure in radians using the formula: angle (in radians) = arc length/radius. Plugging in the values, we get angle = 15.6 cm / 6 cm = 2.6 radians.
For the second circle with a radius of 12 cm, we can find the subtended arc length by rearranging the formula: arc length = angle (in radians) * radius. Using the angle of 2.6 radians, we get arc length = 2.6 radians * 12 cm = 31.2 cm. Therefore, the subtended arc for the second circle is 31.2 cm long.

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201 numbers are less than 2017

If and only if it is odd, a number is the sum of two successive integers.

Only if it is a multiple of 5 is a number considered to be the sum of 5 consecutive integers. If you have any doubts, remember that the product of five consecutive integers equals five times the integer in the middle (this remains true if instead of 5 you put in any odd positive integer).

Consequently, you are seeking odd multiples of 5 below 2017. There are 403 multiples of 5 immediately below 2017, or 2015/5. Of those, 202 are odd. It is necessary to eliminate the number 5 because it is not completely positive when expressed as the sum of its successive integers, which is (-1)+0+1+2+3.

There are 201 numbers left.

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The selection of the appropriate immune suppressant is made by healthcare professionals based on the specific needs of each patient.

The most commonly used immune suppressant in medical practice is a medication called "cyclosporine." Cyclosporine belongs to a class of drugs known as calcineurin inhibitors and is primarily used to prevent organ transplant rejection.

The activity of T-cells, which are a type of immune cell involved in the body's immune response.

Cyclosporine is also used in the treatment of various autoimmune diseases, such as rheumatoid arthritis and psoriasis, where the immune system mistakenly attacks the body's own tissues.

T-cell activity, cyclosporine helps to reduce the inflammatory response and prevent further damage to the affected organs or tissues.

It's important to note that there are several other immune suppressants available, and the choice of medication depends on the specific condition being treated, the patient's overall health, and individual factors.

A commonly used immune suppressants include corticosteroid methotrexate, azathioprine, mycophenolate mofetil, and tacrolimus.

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Complete question:

While studying the T- and B-cell immune suppressors, the nursing students learn that the most commonly used immune suppressant is what?

Answer:

The slope of the line is  \(-\frac{1}{7}\)

Step-by-step explanation:

The rule of the slope of a line which passes through points

(x1, y1) and (x2, y2) is

∵ The line passes through points (19, 8) and (-2, 11)

∴ x1 = 19 and x2 = -2

∴ y1 = 8 and y2 = 11

→ Use the rule above to find the slope of the line

∵ \(m=\frac{11-8}{-2-19}=\frac{3}{-21}\)

→ Simplify the fraction by divide up and down by 3

∴ \(m=-\frac{1}{7}\)

∴ The slope of the line is  \(-\frac{1}{7}\)

Answer:

x=11

Step-by-step explanation:

(3x-21) + (x-4)=19

3x-21+x-4=19

4x-25=19

4x=44

x=11

Answer:

perimeter: 90z+176

Explanation:

perimeter = measure of all length sides

perimeter for this shape:

45z + 40 + 15z + 48 + 20z + 60 + 10z + 28

group terms like this ↓

45z+15z+20z+10z+40+48+60+28

addition of terms ↓

45z+15z+20z+10z+176

this is how final result would look ↓

90z+176

Answer:

No

Step-by-step explanation:

The function is not one to one because there are multiple x-values for each y-value.

Answer:

Slope is -2.8 so D

Step-by-step explanation:

I got -14/5 which converted is -2.8

Answer:

x=-(In(-\(\sqrt{e}\)+5)/2

Step-by-step explanation:

The probability of landing on yellow is less than the probability of landing on blue

Probability is the likelihood of a desired event happening.

Since there are one orange, two purple, two yellow, and three blue and the spinner divided into eight equal colored sections.

Thus, we can write the probabilities as follow:

probability of orange = 1/8

probability of purple = 2/8 = 1/4

probability of yellow = 2/8 = 1/4

probability of blue = 3/8

Therefore, the probability of landing on yellow is less than the probability of landing on blue is the true statement

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The Taylor polynomial T2 centered at a = 0 for f(x) = 13 tan(x) is T2(x) = 13x, and the Taylor polynomial T3 centered at a = 0 is T3(x) = 13x + (26/3)x³.

To calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = 13 tan(x), we need to find the first few derivatives of f(x) and then evaluate them at a = 0.

1. Find the first few derivatives:
f'(x) = 13 sec²(x)
f''(x) = 26 sec²(x)tan(x)
f'''(x) = 26 sec²(x)(tan^2(x) + 2)

2. Evaluate derivatives at a = 0:
f(0) = 13 tan(0) = 0
f'(0) = 13 sec²(0) = 13
f''(0) = 26 sec²(0)tan(0) = 0
f'''(0) = 26 sec²(0)(tan²(0) + 2) = 52

3. Form the Taylor polynomials:
T2(x) = f(0) + f'(0)x + (1/2)f''(0)x² = 0 + 13x + 0 = 13x
T3(x) = T2(x) + (1/6)f'''(0)x³ = 13x + (1/6)(52)x³ = 13x + (26/3)x³

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The length of the shadow of Hayden is approximately 32 inches.

Charlie and Hayden are standing outside.  Charlie is 64 inches tall and casts a shadow of 30 inches.

Hayden is 68 inches tall. The length of the shadow of Hayden can be calculated as follows:

Using proportion,

64 / 30 = 68 / x

where

x = length of the shadow of Hayden

Therefore,

64 / 30 = 68 / x

cross multiply

64x = 68 × 30

64x = 2040

divide both sides by 64

x = 2040 / 64

x = 31.875

Hence,

Length of the shadow of Hayden = 32 inches

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2     9     1

   x      x

3     4      3

The 2 and the 4 cross out each other making it a 1 and a 2  

9 and 3 cross each other making it 1 and 3

The 3 and 3 cross out each other making 1 and 1

1     1     1

   x      x

1     2      1

making it 1/2

(i)The smallest number that should divide 6125 to make it a perfect cube is 7. (ii)The smallest number that should divide 47916 to make it a perfect cube is 56.

(i) 6125: To begin, we can determine whether 6125 is a perfect cube by determining the prime factors that make up 6125:

6125 =

To create a perfect cube, 6125 must be divided by the smallest number possible, which is 7.

6125 divided by 7 equals: 6125 / 7 = 875

The result of raising the number 5 to the power of 3 is 875.

(ii) 47916: We can start by determining its prime factorization to see if 47916 is a perfect cube:

47916 =

To the power of two times three yields: 47916 / (2 x 2 x 2) = 5990.5

47916 / 7 = 6845.14 is the result of raising 7 to the power of 3.

47916 divided by 56 equals 855 (47916 / 56).

Increasing the 2 to the power of 3 and the 7 to the power factors

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Answer:

55.1

Step-by-step explanation:

solo se multiplica

1.90*29 =55.1

The number of Dimes are 28 and there is one nickel.

Two or more expressions with an Equal sign is called as Equation.

$1.90 in dimes and nickels.

Total of 29 dimes and nickels

We form equations by given data

0.1D+0.05N=1.9...(1)

D+N=29..(2)

D=29-N

Substitute value of D in equation 1.

0.1(29-N)+0.05N=1.9

2.9-0.1N=1.9

2.8N=1.9

Divide both sides by 2.8

N=0.678

Now substitute N value in 2.

D+0.678=29

substitute 0.678 from both sides

D=29-0.678

D=28.322=28

Hence, the number of Dimes are 28 and there is one nickel.

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Answer:

D

Step-by-step explanation:

It passes through -1 and has a negative gradient

The required probability that there are at least 1 blue candy and 1 green candy left in the jar when you have taken out all the red candies is 7/12 .

Probability is defined as the ratio of total numbers of outcomes of an event to the favouable outcomes of an event.

We have , Red candies in the jar = 10

green canides in the jar = 30

blue candies in the jar = 20

total number of candies in jar = 60 i.e total number of outcomes = 60

The Probability that the last of sixty candies drawn is one of thirty green candies = 30/60 = 1/2

Ignoring green canides, probability that the last of the thirty other candies drawn is one of twenty blue = 20/30 = 2/3

The Probability that the last of sixty candies drawn is one of twenty blue candies = 20/60 = 1/3

The Probability that the last of sixty candies drawn is not one of twenty blue candies = 1 - 1/3

= 2/3

Probability that last draw would be blue and the last not blue would be green = 20/60 × 30/40

= 1/4 ----(1)

Probability that last draw would be green and the last not green would be blue = 30/60× 20/30

= 1/3 ------(2)

Now , Required probability that last draw would be either blue or green canidy = sum of above probabilty from equation (1)and (2)

= 1/4 + 1/3 = 7/12

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Answer:

Step-by-step explanation:

52%

Answer:

If the coin is fair then there is a 1/2 chance of the coin landing on heads or tails . So the probability of 6 consecutive heads would be (1/2)6 = 1/64

Answer:

18.152866242 = h

Step-by-step explanation:

The curved surface area of a cylinder is calculated using the formula, curved surface area of cylinder = 2πrh, where 'r' is the radius and 'h' is the height of the cylinder.

1368 = 2(3.14)(12)(h)

1368 = 75.36(h)

1368/75.36 = h

18.152866242 = h

Round as necessary.

a. The expression for the number of bacteria after t hours is given by N(t) = 500 x \(2^{t/3}\). b. The number of bacteria present after 4 hours is N(4) = 500 x \(2^{4/3}\) = 5,000. c. And the time when the population will reach 30,000 bacteria is t = 3 + 3×log2(30), which is approximately 16.94 hours.

we can use the given information to set up an exponential growth model for the bacteria population. We know that the initial population is 500 and that after 3 hours, the population has grown to 8,000. Using the formula for exponential growth, N(t) = N0 x \(e^{kt}\), where N0 is the initial population, k is the growth rate, and t is time, we can solve for k and then use it to find N(t) for any time t.

First, we can use the information given to find k. We know that N(0) = 500 and N(3) = 8,000, so we can set up the following equation: 8,000 = 500 x \(e^{3k}\)). Solving for k, we get k = ln(16)/3.

Using this value of k, we can find N(t) for any time t using the formula N(t) = 500 x \(e^{((ln(16)/3) t) }\). Simplifying, we get N(t) = 500 x 2^(t/3), which gives us the expression for the number of bacteria after t hours.

To find the number of bacteria present after 4 hours, we simply plug t = 4 into the expression for N(t) and get N(4) = 500 x \(2^{4/3}\) = 5,000.

Finally, to find the time when the population will reach 30,000 bacteria, we set N(t) = 30,000 and solve for t. This gives us 30,000 = 500 x 2^(t/3), which simplifies to \(2^{t/3}\) = 60. Solving for t, we get t = 3 + 3×log2(30), which is approximately 16.94 hours.

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Plot the points on the picture above, that should be the answer. :)

The execution of the code segment will result in statement2 being executed. The code segment contains a conditional statement that uses the logical OR operator (||) to combine two conditions.

The first condition checks whether the result of dividing num1 by num2 is less than 0, while the second condition checks whether the product of num1 and num2 is greater than 0.

Given that num1 is 0 and num2 is 10, the first condition will evaluate to false, because 0 divided by any positive number is 0. However, the second condition will evaluate to true, because the product of two non-zero numbers with the same sign is always positive.

Since the logical OR operator requires only one of the conditions to be true for the entire statement to be true, the overall result will be true. As a result, statement1 will not be executed, and statement2 will be executed instead.

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