Tim wants to build a rectangular fence around his yard. He has feet of fencing. If he wants the length to be twice the width, what is the largest possible length? Write an equation and solve.









Answers

Answer 1

Answer:

how many feet of fencing does he have?

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Step-by-step explanation:


Related Questions

Can you pleease help ill mark as brainliest

Answers

Answer:

Step-by-step explanation:

to reflect an object in given line , measure the distance perpendicular to the line from each point and to the other side by line


Now let reflect

Here a picture

Hope this help you

describe the y-intercept in terms of knots and rope length

Answers

Answer:

what is the y-intercept sorry i can't help there isn't enough information

Step-by-step explanation:

The senior class at High School A and High School B is planning seperate trips to the local museum. The senior class at High School A rented and filled 13 vans and 1 bus with 184 students. High School B rented and filled 10 vans and 10 buses with 520 students. Every van and every bus had the same number of students in it. How many students can a van carry? How many students can a bus carry?


Based on my answer, each van can carry students and each bus can carry students

Answers

Answer:

Number of students van can carry = 11

Number of students bus can carry = 41

Step-by-step explanation:

Given the following :

HIGH SCHOOL A:

Number of students = 184

Number of vans(v) = 13

Number of buses(b) = 1

Mathematically,

13v + 1b = 184 - - - - (1)

HIGH SCHOOL B:

Number of students = 520

Number of vans(v) = 10

Number of buses(b) = 10

Mathematically,

10v + 10b = 520 - - - - (2)

Multiply (1) by 10 and (2) by 1

130v + 10b = 1840 - - - (3)

10v + 10b = 520 - - - (4)

Subtract (4) from (3)

120v = 1320

v = 11

Substitute v = 11 into (1)

13(11) + 1b = 184

143 + b = 184

b = 184 - 143

b = 41

Number of students van can carry = 11

Number of students bus can carry = 41

Which relation is a function? Coordinate grid with graph of a vertical line at x equals 3. A coordinate grid with graph of a curve that increases through the third quadrant through the origin and exits the first quadrant A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair. A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin.

Answers

Answer:

the answer is "A coordinate grid containing a U shape with arrows on both ends that opens to the right.  The bottom portion of the U passes through the origin"

I took the test.  Good luck!

A function is a coordinate grid containing a U shape with arrows on both ends that opens to the right, and in which the bottom portion of the U passes through the origin.

A function is a rule that connects outputs to each value. The relationship between value and output is often described with a mathematical formula, where the value is represented by one or more variables, alternatively by a table or graphically by a graph, a relationship diagram or an arrow diagram.

An important property of functions is that they are deterministic (that is, consistent, so that each value always gives the same value). This means that the function can be seen as a machine, which systematically delivers output values ​​as soon as input values ​​are inserted.

Learn more in https://brainly.com/question/23505310

How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?


How many gallons of 15% alcohol should be in the mixture? ____ gal

Answers

Answer:

Step-by-step explanation:

Refer https://brainly.com/question/17122506

write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind only 260 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air. please show step by step

Answers

Answer:

Plane speed = 40 m/s.

Wind speed = 300 m/s.

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.

A bag contains 5 blue marbles, 2black marbles ,and 3 red marbles. A marine is randomly drawn from the bag The probability of not drawing a black marble is___ . The probability of drawing a red marble is____

Answers

Answer:

80%; 30%

Step-by-step explanation:

There is 5 blue marbles, 2 black marbles, and 3 red marbles. In other words, there is a total of 10 marbles.

There are only 2 black marbles and 8 marbles that are not black. Therefore, the probability of not drawing a black marble is 8/10 or 4/5 or 80%.

There are only 3 red marbles out of the 10 total marbles. Therefore, the probability of drawing a red marble is 3/10 or 30%.

Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point C(5, 12).
If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of CD is ___. The point ____ lies on CD.

Answers

Answer:

y = -x + 17

Step-by-step explanation:

A(-10,-3)

B(7,14)

C(5,12)

Need line CD perpendicular to AB through C.

Solution:

slope of AB, m1 = (yb-ya) / (xb-xa) = (14- -3) / (7- -10) = 17/17 = 1

Slope of CD, m2 = -1/m1 = -1 / 1 = -1

Line CD through C, using the point slope form

y-yc = m2(x-xc)

y-12 = -1 (x-5)

rearrange

y = -x + 5 + 12

y = -x + 17

Answer:

x intercept of CD is (17, 0)

Point (-2, 19) lies on CD

Step-by-step explanation:

Please help me on this question

Answers

Answer:

x = [tex]\frac{k(a+r)}{7}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{7x}{k}[/tex] - r ( add r to both sides )

a + r = [tex]\frac{7x}{k}[/tex] ( multiply both sides by k to clear the fraction )

k(a + r) = 7x ( divide both sides by 7 )

[tex]\frac{k(a+r)}{7}[/tex] = x

Answer:

        ak - kr                 k(a - r)

x = --------------  or  x = ------------

             7                          7

Step-by-step explanation:

1. Multiply all three terms by k to eliminate the fraction:

ak = 7x - kr

2.  Subtract kr from both sides:

7x = ak - kr

3.  Divide both sides by 7:

        ak - kr                 k(a - r)

x = --------------  or  x = ------------

             7                          7

What does 3 3/5 * 2 5/7 equal

Answers

Hey there! I'm happy to help!

First, let's turn these into improper fractions. We keep the denominators and to find the new numerator you multiply the denominator by the whole number and add then numerator.

[tex]\frac{18}{5} *\frac{19}{7} =\frac{342}{35} =9\frac{27}{35}[/tex]

Therefore, the answer is 9 27/35. Now you can multiply mixed numbers!

Have a wonderful day!

Answer:

As a mixed number the answer to your question will be 9 27/35 or 6 3/7

The steps will be below.

Step-by-step explanation:

You first have to convert theses mixed numbers to fractions.

3 3/5 ,multiply the 5x3=15 and add the 3 which will be 18/5.

Since we converted 3 3/5 to a fraction now it’s 2 5/7 turn!

2 5/7 will be 19/7 because 7x2=14 and 14+5 will give us 19/7.

Finally since we have our two fractions (18/5) and (19/7), it’s time to find the answer!

Now if we multiply both of the factions we get the answer.

18/5 X 19/7

= 9 27/35 or 6 3/7

(For 6 3/7 we have to multiply the whole numbers and the fractions to get that answer)

Hope this helps!

What is 10^4 in standard notation

Answers

Answer:

10,000

Step-by-step explanation:

Standard notation is just the normal way of writing things. 10 x 10 x 10 x 10 = 10,000.

ANSWER : 10,000

BECAUSE: 10 x 10 x 10 x 10 = 10,000

Plz help meeee -28=n(-7)

Answers

Answer:

n=4

Step-by-step explanation:

-28 divided by -7 is 4

Answer:

4

Step-by-step explanation:

divide -7 on both sides

-28/-7=4

A prism has a volume of 238 cubic millimeters. Which is the correct substitution for finding the length of the prism?

Answers

Answer:

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

Step-by-step explanation:

A prism has a volume of 238 cubic millimeters.

A prism has a length of l millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters.

Which is the correct substitution for finding the length of the prism?

A. V = l w h. 238 = l + 8 and one-half + 3 and one-half

B. V = l w h. V = 238 times 8 and one-half times 3 and one-half

C. V = l w h. l times 8 and one-half times 3 and one-half

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

From the question

V=lwh

Volume of a prism=length)(width)(height)

Volume=238

l= l mm

w= 8 1/2

h= 3 1/2

Substituting all the values

V=lwh

238= l * 8 1/2 * 3 1/2

D. V = l w h. 238 = l times 8 and one-half times 3 and one-half

Answer:

D

Step-by-step explanation:

got it right on edge 2020

Brendon is walking home from a place that is 1.5 miles away. The function y = 7,920 − 270x represents Brendon’s distance in feet from home, y, in relation to the number of minutes he walks, x. Bryan is also walking home. Every 15 minutes, he writes down the number of feet left to reach home, as shown in the table.

Minutes
Feet
0
8,000
15
3,800

Which statements about this situation are true?
Brendon walks faster.
Bryan walks faster.
Brendon and Bryan walk at the same speed.
Brendon was farther away from home when he started walking.
Bryan was farther away from home when he started walking.
Brendon and Bryan were an equal distance from home when they started walking.

Answers

Answer:

Bryan walks faster

Bryan was farther away from home when he started walking.

Step-by-step explanation:

Given the following :

Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x'

y = 7,920 − 270x

For bryan:

Minutes (x) - - - 0 - - - - - 15

Feet ( y) - - 8000 - - - 3800

General form of a linear equation :

y = mx + C

m = gradient / slope

m = (y2 - y1) / (x2 - x1)

m = (3800 - 8000) / (15 - 0)

m = -4200 / 15 = - 280

Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)

Therefore,

Bryan's model:

y = 8000 - 280x

Comparing both functions :

Bryan has a greater speed ( from the gradient)

Bryan was farther away from home when he started walking ( intercept )

Answer:

Answer:

Bryan walks faster

Bryan was farther away from home when he started walking.

Step-by-step explanation:

Given the following :

Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x'

y = 7,920 − 270x

For bryan:

Minutes (x) - - - 0 - - - - - 15

Feet ( y) - - 8000 - - - 3800

General form of a linear equation :

y = mx + C

m = gradient / slope

m = (y2 - y1) / (x2 - x1)

m = (3800 - 8000) / (15 - 0)

m = -4200 / 15 = - 280

Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)

Therefore,

Bryan's model:

y = 8000 - 280x

Comparing both functions :

Bryan has a greater speed ( from the gradient)

Bryan was farther away from home when he started walking ( intercept )

Step-by-step explanation:

Line 'L' is horizontal and passes through (-5,8). Line 'L is vertical and passes through $(4,-1)$. Find the point of intersection of $\ell_1$ and $\ell_2$.

Answers

The two lines intersect at (4,8)

Every y coordinate on the horizontal line is the same, so each point has a y coordinate of y = 8. This is to be able to pass through (-5,8)

Every x coordinate on the vertical line is the same, so each point has an x coordinate of x = 4. This is to be able to pass through (4,-1)

Put this together to get the answer (x,y) = (4,8)

Answer:

The two lines intersect at (4,8).

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?

Answers

Answer:

14 units.

Step-by-step explanation:

Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.

P = 2(l + w)

P = 2(3 + 4)

P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)

P = 14 units and 14 units.

You could also do addition.

P = 3 + 3 + 4 + 4

P = 6 + 8

P = 14 units

Hope this helped!

how do you solve this

Answers

Answer:

[tex](a).\:\:\int _1^{-1}3f\left(x\right)dx\:=-12[/tex]   is the final answer.

Step-by-step explanation:

See the attachment below.

Best Regards!

This is the answer don’t be shy like it

A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?

1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.

Answers

Answer:

n=16 kg

c=44 kg

Step-by-step explanation:

Let

n=nuts at $2.50 per kg

c=cereal at $1 per kg

n+c=60 (1)

2.5n + c=1.40(60) (2)

From (1)

n=60-c

Substitute n=60-c into (2)

2.5n + c=1.40(60)

2.5(60-c) +c=84

150-2.5c+c=84

-1.5c=84-150

-1.5c= -66

Divide both sides by -1.5

c=44 kg

Substitute c=44 into (1)

n+c=60

n+44=60

n=60-44

=16

n=16 kg

The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg.

The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height. Assuming the trunk is at least 96 inches deep can the tv fit into the trunk? Explain

Answers

Answer:

It states that assuming the trunk is 96" long.  So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.

Step-by-step explanation:

The length of the diagonal of the trunk is 56.356011 inches.

What is Pythagoras Theorem?

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.

Given:

height of the trunk= 26 inches

length of the trunk= 50 inches

using Pythagorean theorem,

diagonal length of the trunk=√(height² +length²)

=√(26²+50²)

=√3176

=56.356011 inches

Hence, the length of the diagonal of the trunk is 56.356011 inches.

Learn more about this concept here:

https://brainly.com/question/17106915

#SPJ2

What is the measure of Angle X W Y? Triangle X W Y. The exterior angle to angle W is 74 degrees. 16 degrees 74 degrees 106 degrees 116 degrees

Answers

Answer: 106 degrees

The exterior of angle XWY is 74 degrees, so the angle XWY itself is 180-74 = 106 degrees. The two angles form a 180 degree straight line or angle.

Answer:

the answer is 74

Step-by-step explanation:

i did the cumulative test

The function h is defined by h (x) = x^2 +5.
Find h (4a).
????

Answers

Answer:

16a^2+5

Step-by-step explanation:

Gary runs a recycling centre for a local charity.
New staff have to take part in 7 hours of training before they can
work at the centre,
Gary needs to arrange a training programme for new staff.
The training programme will start on Monday 5th September
Each training day:
1) starts at 10 am and must finish by 5 pm
2)has sessions in 2 hour blocks which include a 15 minute
break
3)has a 1 hour break for lunch

The 15 minute breaks and
lunch do not count towards the 7 hours of training

At the end of the training there will be a 90 minute assessment.

Gary needs to know the least number of days he needs to allocate
for the 7 hours of training and the assessment.
Plan a training programme for Gary.
Show the start and finish times for the sessions on your plan.​

Answers

Answer:

Just use 2 days

Step-by-step explanation:

Train for 2

Break

Train for 2

Break

Lunch

Day 2:

Train for 2

Break

Lunch

Exams

(will give brainliest) Find the area of the shaded regions.

Answers

Answer:

84.78cm^2

Step-by-step explanation:

first we do pi*r^2.

3.14*6^2=113.04

Then, because we know that 1/4 of the circle is missing, just multiply 113.04 by .75.

113.04*.75=84.78cm^2

Answer:

84.78cm^2

Step-by-step explanation:

Convert 18 ft to yards

Answers

Answer:

6 yds

Step-by-step explanation:

We know there are 3 ft in 1 yd

Divide  by 3 ft

18 ft / 3 ft = 6 yds

Answer:

6 yards

Step-by-step explanation

1 yard= 3 feet

Which value makes the inequality x^2 ≥ x false?
A. -1/4
B. 0
C. 1/4
D. 1

Answers

Answer:

D

Step-by-step explanation:

cas if x =1

then 1^2>or=1

1is not >or=1

the answer is D. -1/4 because it would make 1=1 instead of greater than or equal to 1

The circle below has center C. Suppose angle EDF = 84º and DF is tangent to the circle at D.
Find the following. Type your numerical answers (without units) in each blank.

Answers

Answer: [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

Step-by-step explanation:

In the given , we have a circle centered at C , ED is a chord and DF is a tangent touching circle at D, ∠EDF = 84°.

Also, CE = CD = radius

⇒ ∠CED = ∠CDE  ---(i)  [angles opposite to equal sides of triangle are equal]

Since radius makes a right angle with tangent.

So, ∠CDF = 90°

⇒ ∠CDE =∠CDF - ∠EDF

⇒ ∠CDE=  90° - 84°

⇒ ∠CDE = 6°

From (i) ∠CED =∠CDE = 6°

In ΔCDE

⇒∠CED + ∠CDE + ∠ECD =  180°

⇒ 6°+6°+ ∠ECD =  180°

⇒ 12°+ ∠ECD =  180°

⇒∠ECD =  180° - 12°

⇒∠ECD =  168°

Since , Angle measure of the central angle is equal to the measure of the intercepted arc.

Therefore m∠ECD = [tex]m\overbrace{ED}[/tex]

⇒[tex]m\overbrace{ED}[/tex]=  168°

Hence,  [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

100 POINTS!The number of pizzas sold in one weekend at Pete's Pizzas is shown. Pie chart of pizza sales. Data includes: 130 hamburger, 175 pepperoni, 60 cheese, and 35 veggie. a) If Pete's sales remain consistent, how many pepperoni pizzas will he have sold when the total number of pizzas sold reaches 1600? b) How would the circle graph be different if Pete had sold 200 pepperoni pizzas, 100 hamburger pizzas, 50 veggie pizzas, and 50 cheese pizzas?

Answers

Answer:

A) [tex]\boxed{\sf 700 \ pepperoni \ pizzas}[/tex]

B) See the attached file!

Step-by-step explanation:

Total pizza sales in the pie chart = 175+60+35+130

=> 400 total Pizzas

Out of these 400, there are 175 pepperoni pizzas

So,

Pepperoni Pizzas = 175/400 = 7/16 (Simplest form)

So,

Among 1600 pizzas, pepperoni pizzas would be:

=> [tex]\frac{7}{16} * 1600[/tex]

=> 7 * 100

=> 700 pepperoni pizzas

Part B)

See the attached file:

Answer:

[tex]\sf a) \ 700 \\ b) \ \sf view \: attachment[/tex]

Step-by-step explanation:

Part A:

Calculate the total parts:

[tex]130+175+60+35[/tex]

[tex]=400[/tex]

Out of 400 pizzas, 175 are pepperoni.

[tex]\frac{175}{400}[/tex]

The sales remain constant, if the total number of sold pizzas reaches 1600 then:

[tex]\frac{175}{400} \times 1600[/tex]

[tex]=700[/tex]

Out of the 1600 pizzas sold, 700 would be pepperoni.

Part B:

(attachment)

Pepperoni pizza:

[tex]\frac{200}{200+100+50+50} =\frac{1}{2}[/tex]

Hamburger pizzas:

[tex]\frac{100}{200+100+50+50} =\frac{1}{4}[/tex]

Veggie and cheese pizzas:

[tex]\frac{50}{200+100+50+50} =\frac{1}{8}[/tex]

Jessa bought her home for $125,000 in 2010. Property values have increased 15% every year since she has owned the home. Which of the following equations can be used to represent the price of the home x years after 2010?

Answers

Answer:

y= 125,000 (1.15x)

Step-by-step explanation:

Answer: y = 125000(1.15)^x

Step-by-step explanation:

The formula we use is y = p(1 + r)^x p is price and r is rate

the initial price is $125000 and the rate is 15%, or 0.15.

y = 125000(1 + 0.15)^x

y = 125000(1.15)^x

             

Find the smallest four digit number which Is divisible by 18 24 and 32

Answers

Use the ladder method. First list all the numbers. Since 2 is a common factor among all the numbers, it can be factored out, and the 3 numbers can be simplified to 9,12, and 16. Since there are no more common factors, we multiply all 4 numbers to get 3456.

Answer:

The smallest four digit number divisible by 18, 24, and 32 is 1152.

Step-by-step explanation:

The LCM of the 3 numbers are 288

Then, the smallest four-digit number would equal 1152 (288*4)

Take L.C.M. of 18,24,32= 288

Resulting in 1152 :)

Sam's total expenses last month were $1840. What was his total variable cost for last
month?
Expense
Amount
Rent
$100
Groceries and drinks
$1000
$10
Insurance premiums
Loan interest payment
Clothes
$30
$200
&
Utilities
$300
Home security fee
$200​

Answers

Answer:

$1500

Step-by-step explanation:

It is given that

Rent  = $100

Groceries and drinks = $1000

Insurance premiums   = $10

Loan interest payment  =$30

Clothes  = $200

Utilities  = $300

Home security fee  = $200​

Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.

In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.

Groceries and drinks, clothes and utilities are variable cost.

So, total variable cost for last month is

[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]

Therefore, total variable cost for last month is $1500.

Answer:

$1500

Step-by-step explanation:

I just took the test and got it right

Other Questions
The migration of atoms or molecules through a material is called Choose one: biomineralization. precipitation from a gas. solidification of a melt. diffusion. Which of the following steps would you perform to the system of equationsbelow so that the equations have equal x-coefficients?4x+2y = 412x+y = 22A. Divide both sides of the bottom equation by 2B. Multiply both sides of the top equation by 3C. Multiply both sides of the bottom equation by 3D. Divide both sides of the top equation by 3 we are best friends. A) We B) We, Best Friends C) Best A wall 0.12 m thick having a thermal diffusivity of 1.5 10-6 m2/s is initially at a uniform temperature of 97C. Suddenly one face is lowered to a temperature of 20C, while the other face is perfectly insulated. Use the explicit finite-difference technique with space and time increments of 30 mm and 300 s to determine the temperature distribution at at 45 minutes. Brooke is a PhD candidate in the field of nanophysics. She is aware that only 4 percent of physics professionals are women. Brooke has heard peers and even instructors say that this is because women struggle to comprehend complex mathematics. When Brooke scores below her male counterparts on an exam, she may be experiencing:________ which of the following segments of the growth curve would starvation proteins be at their highest detectable levels? Find the mean, median, and mode of the data, if possible. f any of these measures cannot be found or a measure does not represent the center of the data, explain why. A sample of seven admission test scores for a professional school are listed below 11.3 10.6 11.7 9.7 11.7 9.5 11.7 What is the mean score? Select the correct choice below and fill in any answer box to complete your choice A. The mean score is Round to one decimal place as needed.) B. There is no mean score. Does the mean represent the center of the data? A. The mean represents the center B. The mean does not represent the center because it is the smallest data value. C. The mean does not represent the center because it is not a data value. D. The mean does not represent the center because it is the largest data value. What is the median score? Select the correct choice below and fill in any answer box to complete your choice. A. The median score is 0 B. There is no median score. Does the median represent the center of the data? (Round to one decimal place as needed.) A. The median represents the center. B. The median does not represent the center because it is not a data value. C. The median does not represent the center because it is the largest data value. D. The median does not represent the center because it is the smallest data value. What is the mode of the scores? Select the correct choice below and fill in any answer box to complete your choice A. The mode(s) of the scores is (are) B. There is no mode. Does (Do) the mode(s) represent the center of the data? (Use a comma to separate answers as needed.) A. The mode(s) represent(s) the center B. The mode(s) can't represent the center because it (they) is (are) not a data value. C. The mode(s) does (do) not represent the center because it (one) is the largest data value. D. The mode(s) does (do) not represent the center because it (one) is the smallest data value. Solve the following equations and inequalities showing all work.18.1/2(x - 5) + 1 = 2x +419.3-x>-320. - x = 1221. -2 = 822. 1 + 3 = 3 +523.4 - (5x + 6) = 18 - 3x24.-6x + 24 = 4x - 15(x-3)25.4(x 3) 12 =(x-3)26. (15x 2) (-2) = x + 4 One stats class consists of 52 women and 28 men. Assume the average exam score on Exam 1 was 74 ( = 10.43; assume the whole class is a population). A random sample of 16 students yielded an average of a 75 on the first exam (s=16). What is the z-score of the sample mean? Is this sample significantly different from the population? (Hint: Use the z-score formula for locating a sample mean) Find the volume of the cone shown below.T1512A. 9727 unitsB. 972 unitsC. 3247 unitsD. 324 units Choose the correct word or expression.Los pasajeros toman una merienda enel pasillola bufetera who brought Buddhist teachings and holy relics from where to china A charged particle with charge of 2 (uC) and mass 10-20 (kg) is traveling with velocity of 108 (m/s) in space. The charge reaches to a region in space with magnetic field of 0.05 (T) and experience a force of 8 (N) exerted by the magnetic field. A- What is the angle between velocity of particle and magnetic field direction? B- What is acceleration of charged particle while experiencing the force? Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans. x + y = 6. 15 x + 28 y = 116. x + y = 6. 28 x + 15 y = 116. x + y = 116. 15 x + 28 y = 6. x + y = 116. 28 x + 15 y = 6. QUESTION: Explain the difference between a frameshift mutation and a base substitution mutation.Thanks! Rays that pass through a lens very close to the principle axis are more sharply focused than those that are very far from the axis. This spherical aberration helps us understand why:_______ The current particulate standard for diesel car emission is .6g/mi. It is hoped that a new engine design has reduced the emissions to a level below this standard. Set up the appropriate null and alternative hypotheses for confirming that the new engine has a mean emission level below the current standard. Discuss the practical consequences of making a Type I and a Type II error. (continue #5) A sample of 64 engines tested yields a mean emission level of = .5 g/mi. Assume that = .4. Find the p-value of the test. Do you think that H0 should be rejected? Explain. To what type of error are you now subject? Palmer goes to a truck dealership and asks for a truck capable of handling a 5000-pound load. He makes it clear that it is up to the salesman to select an appropriate truck. Without saying anything about the truck's load-carrying capacity, the salesman selects a certain truck for Palmer. Relying on the salesman's choice, Palmer buys the truck in question. However, the truck can only handle a 2500-pound load. Palmer wants to sue the dealership because he didn't get the truck he desired. Which of the following product liability theories gives Palmer his best chance of recovery?A. Express warrantyB. Implied warranty of fitnessC. Implied warranty of merchantabilityD. Section 402A Which of the following is a tertiary source? You have been assigned to write an expository essay about how "Star Trek" became a pop culturephenomenon. which choice would provide an appropriate introductory statementA)"Star Trek is one of my favorite TV shows.B)"Star Trek' or 'Star Wars": which is better?When "Star Trek" premiered in 1966, few expected it to become a hit.D)Captain Kirk might have been a favorite of some, but others have preferredCaptain Picard