Ted's debt is 14 less than half of Mike's debt. If we let w represent Mike's debt, write an algebraic expression for Ted's debt.

Answers

Answer 1

Ted's debt can be expressed as 2w - 28

Data;

Mike debt = wTed's debt = x

Algebraic Expression

This is a mathematical expression written to represent word problems.

Given that Ted's debt is 14 less than half of Mike's debt and Mike's debt is represented as w.

Let x represent Ted's debt

[tex]x = \frac{w}{2} - 14\\ x = 2w -28[/tex]

The expression can be written as 2w - 28

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Related Questions

Daryl's Oreo factory is able to produce 3/4 tons of Oreos in 1 1/2 weeks. At this rate, how long will it take to produce 2
tons of Oreos?

Answers

[tex]\bf \begin{array}{ccll} tons&weeks\\ \cline{1-2}\\ \frac{3}{4}&1\frac{1}{2}\\\\ 2&x \end{array}\implies \cfrac{~~\frac{3}{4}~~}{2}=\cfrac{~~1\frac{1}{2}~~}{x}\implies \cfrac{~~\frac{3}{4}~~}{2}=\cfrac{~~\frac{3}{2}~~}{x}\implies \cfrac{~~\frac{3}{4}~~}{\frac{2}{1}}=\cfrac{~~\frac{3}{2}~~}{\frac{x}{1}} \\\\\\ \cfrac{3}{4}\cdot \cfrac{1}{2}=\cfrac{3}{2}\cdot \cfrac{1}{x}\implies \cfrac{3}{8}=\cfrac{3}{2x}\implies 6x=24\implies x=\cfrac{24}{6}\implies x=4[/tex]

Identify the volume and surface area of the hemisphere in terms of π. HELP ASAP!!

Answers

Answer:

D

Step-by-step explanation:

Use the formula for the SA of a hemisphere.

[tex]SA=2\pi r^2[/tex]

Now we can find the radius of the hemisphere, which is 15.

Then, we can square that and multiply it by 2 to get 450.

Now, let's use the formula for the Volume of a hemisphere.

[tex]V=\frac{2\pi r^3}{3}[/tex]

Now we can cube 15 and multiply it by 2 to get 6750.

Then we can divide this number by 3.

2250.

So the answer is D.

which is the polar form of the parametric equations x=4t and y=t^2?


a. r= 16 tan (theta) sec (theta)

b. r= 16 tan^2 (theta)

c. r= 16 sec^2 (theta)

d. r= 16 sec (theta)

Answers

Answer: r=16tan theta sec theta

Step-by-step explanation:

I have this question on my test but all the answers are different except that one

The polar form of the parametric equation is option (A), r = 16 tan theta sec theta is the correct answer.

What is a polar from?

Polar form of a complex number is represented by a line whose length is the amplitude and by the phase angle. A polar form of a vector is denoted by  ( , ) , where represents the distance from the origin and represents the angle measured from the -axis.

Given the parametric equations x=4t and y=t².

Consider x= 4t

⇒ t = x/4

Now substitute  t in y equation,

[tex]y= (\frac{x}{4} )^2[/tex]

[tex]y=\frac{x^2}{16}[/tex]

We know that in polar form,

x= r cosθ and y= r sinθ

Now y becomes

r sinθ= [tex]\frac{r^2\cos^2\theta}{16}[/tex]

16 r sin θ = r² cos²θ

r = 16 sinθ/cos²θ

⇒r =16 tanθ secθ

Hence we can conclude that the polar form of the parametric equation is option (A), r = 16 tan theta sec theta is the correct answer.

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HELP PLEASE! I’m having a hard time answering this.

Joshua has a ladder that is 17 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 16.5 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 70*. Will the ladder be safe at this height? Show work.

Answers

The question is asking to solve a problem that'll "add up", or in other words, makes sense; through the use of Trigonometric functions. The leaning ladder is the hypotenuse of 17ft, adjacent to that is a wall that measures 16.5ft above the ground. The angle both sides make must be <=70°. The function here is Opposite over Hypotenuse i.e 16.5/17 . We use the inverse operation of Sin which is Sin^(-1) to find if the angle is < or = to 70°. Using a calculator, we find the angle to be 76.06°, which is > more than, 70°.

Thus, the ladder will not be safe for its height and therefore won't make sense.

Peter and his four brothers combined all of their money to buy a video game. If 20% of the total money is Peter's, and $4.00 of the total money is Peter's, how much do all five brothers have combined?

Answers

Given that Peter contributes 20% of the total money and his part is $4.00, it is deduced that the total combined amount the five brothers have is $20.00.

To solve this, we can set up a simple proportion where 20% (or 0.20 in decimal form) of the total amount is equal to $4.00.

Step-by-Step Solution:

Let x represent the total combined amount of money that Peter and his brothers have.

Since Peter contributes 20% of the total, we can express this as 0.20 imes x = $4.00.

To find x, we divide both sides of the equation by 0.20, giving us x = $4.00 / 0.20.

By performing the division, we find that x = $20.00.

Therefore, the total combined amount Peter and his brothers have is $20.00.

Find the product. 3(x + 4) (x - 5) A. 3x2 ? 20x B. 3x2 ? 11x ? 20 C. 3x2 ? 3x ? 60 D. 3x2 ? x ? 20

Answers

For this case we must find the product of the following expression:[tex]3 (x + 4) (x-5)[/tex]

We must apply distributive property to the terms of the first parenthesis:

[tex](3x + 12) (x-5) =[/tex]

Again we apply the distributive property:

[tex]3x ^ 2-15x + 12x-60 =\\3x ^ 2-3x-60[/tex]

ANswer:

[tex]3x ^ 2-3x-60[/tex]

Step 1: Distribute the 3 to x and 4

(3x + 12)(x - 5)

Step 2: FOIL (First, Outside, Inside, Last)

Multiply the first of the values in the parentheses together

(3x + 12) (x - 5)

[tex]3x^{2}[/tex]

Multiply the outside values in the parentheses together

(3x + 12)(x - 5)

-15x

Multiply the inside values of the parentheses together

(3x + 12)(x - 5)

12x

Multiply the last values of the parentheses together

(3x + 12)(x - 5)

-60

Step 3: Add all the FOIL values together

3[tex]x^{2}[/tex] + (-15x) + 12x + (-60)

Step 4: Combine like terms

3[tex]x^{2}[/tex] + (-15x) + 12x + (-60)

3[tex]x^{2}[/tex] - 3x - 60

Hope this helped!

Jared has some quarters and dimes that total $5.50. If he has 8 more quarters that dimes, how much dimes does Jared have?

Answers

Final answer:

To determine the number of dimes Jared has, we set up an equation based on the total value of dimes and quarters equaling $5.50. After solving the equation, we find that Jared has 10 dimes.

Explanation:

The student's question asks how many dimes Jared has if he has a total of $5.50 consisting of quarters and dimes, with 8 more quarters than dimes. Let 'd' represent the number of dimes. Since a dime is worth $0.10, the total value of the dimes is 0.10d dollars. Jared has 8 more quarters than dimes, so he has 'd+8' quarters. A quarter is worth $0.25, so the total value of the quarters is 0.25(d+8). The sum of the values of the dimes and quarters is $5.50, so we can set up the equation 0.10d + 0.25(d+8) = 5.50.

Now, solving for d:

0.10d + 0.25(d+8) = 5.50

0.10d + 0.25d + 2 = 5.50

0.35d + 2 = 5.50

0.35d = 5.50 - 2

0.35d = 3.50

d = 3.50 / 0.35

d = 10

Jared has 10 dimes.

12 - 6x - 5 = -23 *

6
5
-5
-6
2x - 4 - 4x = 8 *

16
6
2
-6
4x + 4 - 8x = 16 *
1 point
5
3
-3
-5
-6 + 3x - 5x = 24 *

24
15
-6
-15
3x + 10 + 5x = 50 *

12
5
-5
-12

Answers

Answer:

1.) 5

2.) -6

3.) -3

4.) -15

5.) 5

For a limited time, Sammy’s gas station is offering a discount on the cost of gasoline when amounts greater than 5 gallons are purchased. The table below shows the cost for different amounts of gasoline.

Which of these could be used to determine c, the cost for purchasing g gallons of gasoline with the discount?

A: C=2.65g
B: C=2.65g-12

Answers

Answer:

C = 26.5g - 2

Step-by-step explanation:

We can plug in our given numbers for g and see if the C corresponds.

g = 7, C = 16.55

A) C = 2.65*7 --> C = 18.55

We know that C ≠ 18.55, so it should be B (I think you typed that one wrong, it is C = 2.65g - 2)

Final answer:

The equation C=2.65g could be used to determine the cost for purchasing g gallons of gasoline with the discount.

Explanation:

To determine the cost for purchasing g gallons of gasoline with the discount, we need to examine the given options. Option A states that the cost, C, equals 2.65g, which means the cost is directly proportional to the number of gallons. This could be a valid equation for determining the cost with the discount. However, option B states that the cost, C, equals 2.65g-12. This equation subtracts a constant value of 12, which is not mentioned in the problem, so it is not a valid way to determine the cost with the discount. Therefore, option A could be used to determine the cost for purchasing g gallons of gasoline with the discount.

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A cake has circumference of 25 1/7 inches. What is the area of the cake? Use 22/7 to approximate π. Round to the nearest hundredth. Enter your answer in the box.

Answers

Answer:

50.29 in^2

Step-by-step explanation:

From the circumference we need to find the radius.

Since C = 2*pi*r, r = C / (2*pi).

Here, with C = 25  1/7 in, r = (25  1/7 in) / [ 2(22/7) ], or r = 4 in

The area of the cake is A = pi*r^2, or (here)  A = (22/7)(4 in)^2 = 50.29 in^2

For the function given​ below, find a formula for the riemann sum obtained by dividing the interval​ [a,b] into n equal subintervals and using the​ right-hand endpoint for each c subscript k. then take a limit of this sum as n right arrow infinity to calculate the area under the curve over​ [a,b]. ​f(x)equals2x over the interval ​[2​,4​].

Answers

Final answer:

The Riemann sum for f(x) = 2x on [2,4] is evaluated as n approaches infinity to give the integral from 2 to 4 of 2x dx, resulting in an area of 12 square units under the curve.

Explanation:

To find the Riemann sum for the function f(x) = 2x over the interval [2, 4], we start by dividing the interval into n equal subintervals, with each subinterval of width ∆x = (b - a) / n. For the right-hand endpoint, the kth point c at which f(x) is evaluated is given by c_k = a + k*∆x. Therefore, the Riemann sum is:

∑_{k=1}^{n}f(c_k)*∆x = ∑_{k=1}^{n}2(a + k*∆x)*∆x.

As n → ∞, the Riemann sum approaches the definite integral of the function. For the given function, the integral can be calculated directly, and the limit of the Riemann sum as n approaches infinity gives us the area under the curve, which in this case is equivalent to the area of a right triangle with base 2 and height 4.

Thus, we find that the area under the curve on the interval [2, 4] for f(x) = 2x is simply integral from 2 to 4 of 2x dx, which evaluates to 4^2 - 2^2, or 12 square units.

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Please please help me out

Answers

Answer:

$0.84

Step-by-step explanation:

The expected value of target A = 12% of $7

12% = [tex]\frac{12}{100}[/tex] = 0.12

expected value of A  = 0.12 × $7 = $0.84

Each of

6

students reported the number of movies they saw in the past year. This is what they reported:

6, 8, 16, 7, 19, 20

Find the mean and median number of movies that the students saw.

Answers

The median is 12.

The arithmetic mean is 12.7

The geometric mean is 11.3

What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4

Answers

Answer:

Required logarithmic function is :

[tex]f\left(x\right)=\log_3\left(x\right)[/tex]

Step-by-step explanation:

We have been fiven that table for the logarithmic function is:

x f(x)

9 2

27 3

81 4

which can be rewritten as:

x f(x)

3^2 2

3^3 3

3^4 4

Which are basically powers of 3

So we can use logarithmic function as

[tex]\log_3\left(9\right)=\log_3\left(3^2\right)=2\log_3\left(3\right)=2(1)=2[/tex]

Hence required logarithmic function is :

[tex]f\left(x\right)=\log_3\left(x\right)[/tex]

Given that (0,7) is on the graph of f(x), find the corresponding point for the function f(x+2).

Answers

Answer:  The point is (-2, 7)

Step-by-step explanation:

If we have a function f(x) and we apply the transformation

[tex]y = f (x + h)[/tex] then ::

If [tex]h <0[/tex] the graph of f(x) moves horizontally h units to the right

If [tex]h> 0[/tex] the grace of f(x) moves horizontally h units to the left

In this case we have the function f(x) and the point (0,7) and the transformation [tex]y = f (x + 2)[/tex]

Then [tex]h = 2> 0[/tex]. Therefore the graph of f(x) moves 2 units towards the left.

Therefore the point (0,7) moves 2 units to the left and we have the point (-2, 7) in the transformed function

which are differences of perfect cubes? Check all that apply. 9a3 – 27 125a12 – 72 216a6 – 27y3 8a15 – 27 225a3 – 216

Answers

ANSWER

The correct choices are:

[tex] {8a}^{15} - 27[/tex]

and

[tex]216 {a}^{6} - 27 {y}^{3} [/tex]

EXPLANATION

A difference of perfect cube is of the form:

[tex] {(m)}^{3} - {(n)}^{3} [/tex]

We can rewrite

[tex]216 {a}^{6} - 27 {y}^{3} [/tex]

Try rewriting the terms as powers to an exponent of 3.

[tex]216 {a}^{6} - 27 {y}^{3} = {6}^{3}( {a}^{2})^{3} - {3}^{3} {y}^{3} [/tex]

This implies that:

[tex]216 {a}^{6} - 27 {y}^{3} = ( 6 {a}^{2})^{3} - {(3y)}^{3} [/tex]

Hence this is a difference of perfect cube.

Also, we can rewrite

[tex] {8a}^{15} - 27[/tex]

as

[tex]{8a}^{15} - 27 = {2}^{3} ( {a}^{5})^{3} - {3}^{3} [/tex]

[tex]{8a}^{15} - 27= {(2{a}^{5})}^{3} - {3}^{3} [/tex]

How many different strings can be formed by rearranging the letters in the word troposphere?

Answers

Step-by-step explanation:

The letters of the word troposphere can be sorted to be:

ee h oo pp rr s t

with 7 distinct letters of which 4 are in pairs for a total of 11 letters.

The number of words that can be formed from n distinct letters

= n!/(1!1!1!....1!)   [n times in the denominator]

The number of words that can be formed from n letters of which 2 are duplicated and the rest distinct is

= n!/(2!1!1!....1!)     [n-1 times 1!]

Similarly, the number of words that can be formed from 11 letters, of which there are 4 pairs of duplicated letters is

N=11! / (2!2!2!2!1!1!1!)

= 39916800 / (2*2*2*2*1*1*1)

= 2494800

Padma also pays for a subscription to a sports channel.Yhe channel cost $132 for a year.How much does Padma pay for the sports channel per month? How much does Padma pay each month for the sports channel and the magazine combined?

Answers

Answer:

Padma pays $11 dollars a month for the sports channel. I do not see the question for the magazine:(

Step-by-step explanation:

A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred years. What is the population of the village today?

Answers

Final answer:

This is an example of exponential growth. The population of this village triples every hundred years. Given the village was founded 400 years ago by 20 people, the current population would be 1620 people.

Explanation:

The given situation is an example of exponential growth, which can be found in various scenarios such as population growth. From the information provided, the population of the village triples every hundred years. Since the village was founded four hundred years ago and initially had 20 people, we can calculate the population today using the following steps:

The population after 100 years is 20 (initial population) x 3 (tripling) = 60.The population after the next 100 years is 60 (population after the first hundred years) x 3 (tripling) = 180.The population after three hundred years is 180 (population after two hundred years) x 3 (tripling) = 540.Finally, the population after the fourth hundred years, which is now, is 540 (population after three hundred years) x 3 (tripling) = 1620.

So, the population of the village today would be 1620 people.

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Final answer:

The population of the village today is 720 people.

Explanation:

To find the population of the village today, we need to calculate the number of population doublings that have occurred over the four hundred year period.

Since the population triples every one hundred years, it doubles twice in that time frame.

Doubling a number is the same as multiplying it by 2.

So, the population at the start was 20, then it doubled to 40 after one hundred years, and doubled again to 80 after two hundred years.

Finally, it tripled to 240 after three hundred years, and tripled again to 720 after four hundred years.

Therefore, the population of the village today is 720 people.

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5^12 ÷ 5^4 = _____

A) 5^3
B)5^8
C) 5^16

Answers

Hello!

The answer is:

The correct option is:

B)  [tex]5^{12}\div5^{4}=5^{8}[/tex]

Why?

To solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

[tex]\frac{a^{m} }{a^{n} }=a^{m-n}[/tex]

If we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

So, we are given the expression:

[tex]5^{12}\div5^{4}[/tex]

Which is equal to write:

[tex]\frac{5^{12} }{5^{4}}[/tex]

Then, calculating we have:

[tex]\frac{5^{12} }{5^{4}}=5^{12-4}=5^{8}[/tex]

Hence, the answer is:

B)  [tex]\frac{5^{12} }{5^{4}}=5^{8}[/tex]

or

 [tex]5^{12}\div5^{4}=5^{8}[/tex]

Have a nice day!

Answer:

The correct answer is option B. 5^8

Step-by-step explanation:

Points to remember

Identities

xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾

x⁻ᵃ = 1/xᵃ

To find the correct option

It is given an expression, 5^12 ÷ 5^4  

⇒ 5¹²/5⁴

By using identities we can write,

5¹²/5⁴ = 5⁽¹² ⁻ ⁴⁾

 = 5⁸

Therefore the correct answer is option B. 5^8

A hypothetical population includes 1 million men and 1 million women. Suppose that a sample of this population of 100 included 20 men and 80 women. Identify the misuse of statistical data.


A) Sample bias
B) Loaded questions
C) Data manipulation
D) Overgeneralization

Answers

Answer:

A) Sample bias

Step-by-step explanation:

If a sample of 100 participants includes 20 men and 80 women, then the sample is biased. Women account for;

(80/100)*100 = 80% of the total participants while men only for 20%.

The sample does not represent the entire population in fair proportions hence the sample is biased

What is the scale factor ABC to XYZ???

Answers

Answer:

A) 6

Step-by-step explanation:

This would be your best answer.

A sporting goods store received an order of 80 baseball caps, of which 12 were green. If 1 of the 80 caps is selected at random, what is the probability it will NOT be green?
15%
68%
85%
88%

Answers

Answer:

85%

Step-by-step explanation:

If the sporting goods store received a lot of 80 baseball caps... and 12 of them were green that means that 68 (80-12) were NOT green.

Thus, the probably to randomly pick up a cap that is NOT green is 68 out of 80...

68/80 = 17/20 = 85%

What statement represents the reasonable time when the basketball is in the air

Answers

The ball hits the ground at 2.5sec

The answers aren’t all showing but neither of the top two showing are correct. Pick the answer that fits with the ball being in the air for 2.5sec.

Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina's cycling speed is 10 km/h, how much time longer will Masha need to complete the path?

Answers

Answer:

0.5 hour

Step-by-step explanation:

Given

Speed of Dina = 10 km/h

Distance = 20 km

So the time Dina taken to complete the track is:

[tex]Speed=\frac{distance}{time}\\10=\frac{20}{time}\\time=\frac{20}{10}\\ time=2\ hours[/tex]

The time taken by Dina is 2 hours. As masha started with dina but she was 4 km of the path left to cycle,

her distance covered in 2 hours was:

[tex]Distance\ covered\ by\ Masha\ in\ 2\ hours=20-4\\=16 km[/tex]

So we know the time and distance:

Now,

[tex]Speed\ of\ Masha=\frac{distance}{time}\\ =\frac{16}{2}\\ =8\ kilometer\ per\ hour[/tex]

We have to calculate the time that will be needed by MAsha to complete the track:

As we know the speed and remaining distance

[tex]Speed=\frac{distance}{time}\\8=\frac{4}{time}\\ time=\frac{4}{8}\\time=0.5\ hours[/tex]

Masha needs 0.5 hour to complete the track ..

Answer:

30 minutes

Step-by-step explanation:

Given a polynomial f(x), if (x − 2) is a factor, what else must be true?
A. f(0) = 2
B. f(0) = −2
C. f(−2) = 0
D. f(2) = 0

Answers

Answer:

D. f(2) = 0

Step-by-step explanation:

If x-2 is a factor of a function, then f(2) must be zero

f(x) = p(x) * (x-2) since (x-2) is a factor of f(x)

Substitute in x=2

f(2) = p(2) (2-2)

f(2) = p(2) *(0)

Anything times 0 = 0

f(2) = 0

There are 14 students making sculptures with craft sticks. There are 644 craft sticks in a box. Each student gets an equal number of craft sticks. Explain each step needed to determine the maximum number of craft sticks that each student can get.

Answers

Answer:

46 craft sticks per student

Step-by-step explanation:

The simplest situation would be that in which the available 644 craft sticks are evenly divisible by the number of students receiving them.  If that's the case, all we have to do is to divide:

644 craft sticks

----------------------- = 46 craft sticks per student

     14 students

CAN SOMEONE HELP ME WITH NUMBER 7??
I WILL GIVE BRAINLIEST!

Answers

Answer:

tanx-(\sqrt(11))/(5)cosx>0

Step-by-step explanation:

Because to do this kind of trig you first have to know how to do basic trg

Please please help me

Answers

To work this out, you find out how many triangles can fit into the shape.

To do this, you take the number of sides and subtract it by 2.

So in a polygon with 11 sides, there are:

9 triangles          (11 - 2 = 9)

Remember, the total number of angles in one triangle is 180 degrees.

So to work out the total number of angles in a polygon, you multiply the number of triangles in it by 180.

So the total sum of interior angles in a polygon with 11 sides is:

180 x 9  = 1620 degrees          (180 degrees times number of triangles)

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

Answer:

1620 degrees

Find the values of the 30th and 90th percentiles of the data. Please show your work.
129, 113, 200, 100, 105, 132, 100, 176, 146, 152

Answers

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= [tex]100,100,105,113,129,132,146,176,200[/tex]

The 30th percentile is located at

[tex](\frac{30}{100}\times 10 )}[/tex] -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = [tex]\frac{105+113}{2}=\frac{218}{2}=109[/tex]

The 90th percentile is located at

[tex](\frac{90}{100}\times 10 )}[/tex] -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = [tex]\frac{176+200}{2}=\frac{376}{2}=188[/tex]

Other Questions
how did the revision most likely affect gas consumer in the united states Read this excerpt from Frankenstein, which is from the monster's perspective:But it is true that I am a wretch. I have murdered the lovelyand the helpless; I have strangled the innocent as theyslept and grasped to death his throat who never injured meor any other living thing. I have devoted my creator, theselect specimen of all that is worthy of love andadmiration among men, to misery, I have pursued him evento that irremediable ruin....... long for the momentwhen [these hands) will meet my eyes, when (thatimagination will haunt.my thoughts, no more.How does this passage best illustrate the monster's development as acharacter over the course of the novel?A. It shows that he goes from someone doubtful of his abilities toreach his goal to someone confident in his ability to succeed.OB. It shows that he goes from someone who is repelled by hisappearance to someone who lear's self-acceptance.c. It shows that he goes from someone who seeks revenge tosomeone who forgives those who have hurt hm.OD. It shows that he goes from someone who wants to be part ofsociety to someone who regrets his existence. PLZ HELP ME!!! 50 POINTS!!!!!!Which can make you vulnerable to illness? A. happiness B. strenuous activity C. stress D. regular exerciseWhich of the following are healthy guidelines for hand washing? A.Use cold water. B.Rub your hands vigorously with warm, soapy water, for 15 seconds. C.Use a dirty towel to dry your hands. D.None of the above. Nutrient absorption occurs primarily in the Why does Tybalt want to fight with Romeo?Attachment below What is the x-coordinate of the solution of the following system of equations?3x + y = 6x - y = 6 Select the correct answer. A coin is tossed 5 times in a row. What is the size of the sample space of this experiment? A. 5 B. 7 C. 10 D. 32 What is the value when c =6 and d= 10 5c2 - 3d + 15 Kevin says that lines p and m will eventually intersect.Is Kevin correct? The holy water in the story is symbolic. How does it the meaning differ for the priest and Leon? Use examples from the text as you explain how both men view the holy water An aerosol is a colloidal suspended in a . Evaluate C(8, 8).01n8 Choose the word in each group that doesn't belong.1. los bluejeans los pantalones los pantalones cortos los zapatos2. las botas las sandalias los guantes los zapatos3. el almacn el centro comercial la caja la tienda4. el cinturn la bolsa la camiseta la cartera5. costar gastar llevar regatear HELP!!!!!!!!!!!!!Triangle PQR has vertices P(3,5), Q(-2,6) and R(8,-1). Give the coordinates of the vertices after the translation (x,y)> (x+4,y - 5)1. P(_,_)2.Q (_,_)3.R (_,_) In this triangle, what is the value of x?Enter your answer, rounded to the nearest tenth, in the box.x = Marx argues that social change is necessary to eliminate inequality and injustices do you agree or disagree? Why? Which of these led to the growth of the Roman Empire? Which indicates the presence of oil in tar sands? acids bitumen sandstone shale water Kevin is responsible for delivering sacks of grains to a grocery shop on the tenth floor of a departmental store. Each sack weighs 364 pounds and Kevin weighs 150 pounds. The capacity of the elevator is 2,000 pounds. If six sacks are to be taken at a time, what should be the weight of each sack? Question 6 options: at the most 308 pounds at least 308 pounds exactly 308 pounds at the most 803 pounds On the lines provided, rewrite each of the sentences or pairs of sentences toeliminate any errors in pronoun-antecedent agreement. Write "correct" if the sentence or pair of sentences is correct.1. One of the visitors to Hoover Dam left their camera on the tour bus.2. The drive to the dam took about an hour longer than we thought it would take.3. The tour guide and her assistant took her place above the dam for a photograph.4. Neither my brother nor my father thought that they would enjoy the trip. Both were wrong!5. For several members of the tour, it was his or her first trip to Nevada.6. Everyone on our tour of the Southwest was delighted that they were part of our group. Steam Workshop Downloader