jeremy rides his bike at a rate of 12 miles per hour below is a table that represents the number of hours and miles Kevin rides assume both bikers ride at a constant rate which biker rides at a greater speed

Answers

Answer 1

The correct answer would be, Jeremy rides at a greater speed than Kevin.

Step-by-step explanation:

Jeremy rides at a rate of 12 miles per hour

Kevin rides at a rate given in the table

Let Y be the distance traveled by Jeremy

And X be the number of hours

Then for Jeremy:

y/x = 12/1

=> y= 12 x

For Kevin:  

(46-23)/(4-2)

= 23/2

= 11.5

So for Kevin, Y = 11.5 x

So when Jeremy's and Kevin's rates are compared,

12 > 11.5

which means Jeremy rides at a greater speed.  

Learn more about Time and Distance problem at:

brainly.com/question/3581191

#LearnWithBrainly

Answer 2
Final answer:

To determine which biker rides at a greater speed, Jeremy's speed of 12 miles per hour must be compared with data from Kevin. Without specific information about Kevin's travel distance and time, we cannot conclude who is faster.

Explanation:

To determine which biker rides at a greater speed, we must first establish the speed at which Jeremy rides his bike. Then we need to compare that speed to the information given for Kevin. Unfortunately, the question as stated does not provide specific details for Kevin's hours and miles. However, we know that Jeremy rides at 12 miles per hour.

Speed is calculated by dividing the distance traveled by the time it takes to travel that distance. For example, if a cyclist like Jeremy travels 12 miles in 1 hour, his speed is 12 mph. In another example, if Billy rides 6 miles in 0.5 hours (30 minutes) at a speed of 12 km/h, we can calculate his speed in miles per hour by realizing that 1 kilometer is approximately 0.621371 miles.

Without Kevin's data, we cannot compare his speed to Jeremy's directly. To determine which biker rides faster, we would need information on the distance Kevin travels and the time he takes to do so.


Related Questions

A particular bacterial colony doubles its population every 15 hours. A scientist running an experiment is starting with 100
bacteria cells. She expects the number of cells to be given by the formula, where t is the number of hours since the
experiment started.
C = 100 (2 ^t/15)
After how many hours would the scientist expect to have 300 bacteria cells?
Give your answer to the nearest hour.
A) 2 hours
B) 24 hours
C) 1,048,557 hours
D) 104,857,699 hours​

Answers

Answer:

d

Step-by-step explanation:

Answer:

24 hours

24 hours is the solution to 300=10(2)^t/15

A snowboard is on sale for $476. If the
original price was $560, what is the
percent discount?

Answers

Answer:

15%

Step-by-step explanation:

we call the original price 100% and to find the discount amount :

Multiply 100 by $476 then divide by $560

100 × $476 ÷ $560 = 85

$476 is 85% of the original price therefore the amount of discount as in percentage is 100 - 85 = 15%

Please help!! question is in the picture

Answers

Answer:

C

Step-by-step explanation:

Total number of rolls = 96

There are three even numbers: 2, 4 and 6.

Number 2 was rolled 13 times

Number 4 was rolled 17 times

Number 6 was rolled 20 times

Hence, even number was rolled [tex]13+17+20=50[/tex] times.

The experimental probability is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.

Therefore,

[tex]P=\dfrac{50}{96}=\dfrac{25}{48}[/tex]

The perimeter of a rectangle must be less than 172 feet. If the length is known to be 53 feet, find the range of possible widths for the rectangle. (Note: The formula for the perimeter of a rectangle is P=2l+2w , where l is the length and w is the width).

Express your answer in interval notation. Use decimal form for numerical values.

Answers

Answer:

1 - 32.5

Step-by-step explanation:

If the perimider is less then 172, that the limit is 171. 171 - (53)2 = 65. divide that by the two sides that are the width it equals 32.5

Perimeter is the sum of the length of the sides used to make the given figure. The range of the width of the rectangle is (0,33).

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given that the perimeter of a rectangle must be less than 172 feet. Also, given that the length of the rectangle is 53 feet. Therefore, we can write inequality of the width of the rectangle as,

2(Length) + 2(Width) < Perimeter

2(53 feet) + 2(Width) < 172 feet

106 feet + 2(Width) < 172 feet

2(Width) < 172 feet - 106 feet

2(Width) < 66 feet

Width < 66feet / 2

Width < 33 feet

Hence, the range of the width of the rectangle is (0,33).

Learn more about Inequality here:

https://brainly.com/question/19491153

#SPJ2

You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Each customer uses one paper cup. How many paper cups will you need if you sell all of the lemonade? (1 gal ≈ 3785 cm3)

Answers

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = [tex]\frac{Diameter}{2}=\frac{9}{2}=4.5\ cm[/tex]

Height of cups = 12 cm

We will find volume of cup.

[tex]Volume = \frac{1}{3}\pi r^2h\\[/tex]

Putting all the values

[tex]Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3[/tex]

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

[tex]\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05[/tex]

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

brainly.com/question/1836777brainly.com/question/1993757

#LearnwithBrainly

You invest $15,000 to start a hot dog stand at the local sports complex. It costs you $.65 to produce each hot dog. How many hot dogs must you sell before your average cost per hot dog is $1.15?

The answer should be 30,000. I just do not understand how to get to it.

Thank you in advance!

Answers

Answer:

Below is the procedure to find the answer: 30,000 hot dogs.

Explanation:

The average cost is found dividing the total cost by the number of hot dogs:

         [tex]Average\text{ }cost=Total\text{ }cost/Number\text{ }of\text{ }hot\text{ }dogs[/tex]

The total cost is the the sum of amount that you invest plus the product of the cost of producing each hot dog times the number of hot dogs:

[tex]Total\text{ }cost=investment+Number\text{ }of\text{ }hot\text{ }dogs\times cost\text{ }to\text{ }produce\text{ }each\text{ }hot\text{ }dog[/tex]

Substitute the values:

           [tex]Total\text{ }cost=15,000+0.65x\\ \\ Averate\text{ }cost=(15,000+0.65x)/x=1.15[/tex]

Where x is the number of hot dogs.

Solve for x from the equation:

         [tex](15,000+0.65x)/x=1.15\\ \\ 15,000+0.65x=1.15x\\ \\ 15,000=1.15x-0.65x\\ \\ 15,000=0.5x\\ \\ 15,000/0.5=x\\ \\ 30,000=x\\ \\ x=30,000[/tex]

Which shows you how you can find that the answer is 30,000 hot dogs.

Final answer:

To find the number of hot dogs needed to achieve an average cost of $1.15, including a fixed investment of $15,000 and a variable cost of $.65 per hot dog, the calculation reveals that 30,000 hot dogs must be sold to reach this target.

Explanation:

The question asks how many hot dogs must be sold before the average cost per hot dog is $1.15, given an initial investment of $15,000 and a production cost of $.65 per hot dog. To find the break-even point in terms of units sold to reach the target average cost, we use the formula to calculate average cost: Average Cost = (Fixed Costs + Variable Costs) / Quantity. Here, the fixed cost is the initial investment of $15,000, and the variable cost is $.65 per hot dog.

To find the number of hot dogs needed to achieve an average cost of $1.15, we set up the equation: $1.15 = ($15,000 + $.65Q) / Q. Solving for Q gives us 30,000 hot dogs as the break-even point where the average cost per hot dog would be $1.15.

This calculation allows the business owner to understand how many units need to be sold to overcome the initial investment and start making a profit on each hot dog sold at or above $1.15.

Which equation has the solutions x = StartFraction 5 plus-or-minus 2 StartRoot 7 EndRoot Over 3 EndFraction?
3x2 – 5x + 7 = 0
3x2 – 5x – 1 = 0
3x2 – 10x + 6 = 0
3x2 – 10x – 1 = 0

Answers

Answer:

3x^2 - 10x - 1 = 0 $OPTION D ON EDGE$

Step-by-step explanation:

Answer:

3x2 – 10x + 6 = 0

Step-by-step explanation:

Givena general quadratic equation

ax²+bx+c = 0

The general formula for finding x is;

x = -b±√b²-4ac/2a

Where a,b and c are the coefficient of x², x and x° respectively

Given the solution in question to be;

x = 5±2√7/3

The quadratic equation that has thw above general solution will be;

3x²-10x+6 = 0

From the equation, a = 3, b= -10 and c = 6

Substituting this value in the general formula to get x we have;

x = -(-10)±√(-10)²-4(3)(6)/2(3)

x = 10±√100-72/6

x = 10±√28/6

x = 10±√7×4/6

x = 10±2√7/6

Dividing through by 2 gave;

x = 2(5±2√7)/6

x = 5±2√7/3 (which gives the solution in question)

A park has a 333 meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis tall tether ball pole and a 6.8\,\text{m}6.8m6, point, 8, start text, m, end text tall flagpole. The lengths of their shadows are proportional to their heights.
Which of the following could be the lengths of the shadows?
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
Tether ball pole shadow: 1.35\,\text{m}1.35m1, point, 35, start text, m, end text
Flagpole shadow: 3.4\,\text{m}3.4m3, point, 4, start text, m, end text

(Choice B)
B
Tether ball pole shadow: 1.8\,\text{m}1.8m1, point, 8, start text, m, end text
Flagpole shadow: 4.08\,\text{m}4.08m4, point, 08, start text, m, end text

(Choice C)
C
Tether ball pole shadow: 3.75\,\text{m}3.75m3, point, 75, start text, m, end text
Flagpole shadow: 8.35\,\text{m}8.35m8, point, 35, start text, m, end text

(Choice D)
D
Tether ball pole shadow: 0.6\,\text{m}0.6m0, point, 6, start text, m, end text
Flagpole shadow: 1.36\,\text{m}1.36m1, point, 36, start text, m, end text

(Choice E, Checked)
E
Tether ball pole shadow: 2\,\text{m}2m2, start text, m, end text
Flagpole shadow: 4.8\,\text{m}4.8m

Answers

Answer:

b and d

Step-by-step explanation:

The following D Tether ball pole shadow: 0.6\,\text{m}0.6m0, point, 6, start text, m, end text Flagpole shadow: 1.36\,\text{m}1.36m1, point, 36, start text, m, end text and E Tether ball pole shadow: 2\,\text{m}2m2, start text, m, end text Flagpole shadow: 4.8\,\text{m}4.8m could be the lengths of the shadows. Correct Option is 4 and 5.

Let's assume "x" is the length of the tether ball pole shadow, and "y" is the length of the flagpole shadow.

According to the information given, the proportional relationship can be expressed as:

Tether ball pole height / Tether ball pole shadow length = Flagpole height / Flagpole shadow length

The height of the tether ball pole is 333 meters, and the height of the flagpole is 6.8 meters.

So, we have the following equation:

333 meters / x = 6.8 meters / y

Now, let's solve for "y" in each choice and check which choices satisfy the proportional relationship:

Choice A:

333 / 1.35 = 6.8 / 3.4

246.67 ≈ 2

Choice B:

333 / 1.8 = 6.8 / 4.08

185 ≈ 1.67

Choice C:

333 / 3.75 = 6.8 / 8.35

88.8 ≈ 0.81

Choice D:

333 / 0.6 = 6.8 / 1.36

555 ≈ 5

Choice E:

333 / 2 = 6.8 / 4.8

166.5 ≈ 1.42

The two choices that satisfy the proportional relationship are:

(Choice D) Tether ball pole shadow: 0.6 m, Flagpole shadow: 1.36 m

(Choice E) Tether ball pole shadow: 2 m, Flagpole shadow: 4.8 m

Try to know more about lengths :

https://brainly.com/question/32060888

#SPJ2

what does 6x +2(5x -6)

Answers

Answer:

Step-by-step explanation:

Is you simplify, you get 16x-12

6x+2(5x-6)

6x+10x-12

16x-12

Answer:

Assuming you just want it simplified, the answer would be 16x - 12

Step-by-step explanation:

6x + 2(5x - 6)

6x + 10x - 12

16x - 12

The diagonals of a rhombus are 14 and 48 cm Find the length of a side of the rhombus

Answers

The answer is square root of 31. Attached is a picture with step by step explanation

Of the 40 students in Ms. Carr's class, 87.5% live less than 10 miles from school. How many of the students in Ms. Carr's class live less than 10 miles from school.

Answers

Answer:

35

Step-by-step explanation:

Total number of students in class is 40

87.5% of the class = 87.5/100 *40 =35

The students in Ms. Carr's class that live less than 10 miles from school are 35 students.

To find out how many students in Ms. Carr's class live less than 10 miles from school, we can use the percentage provided in the question.

1. Identify the total number of students in the class:

  Ms. Carr has a total of 40 students in her class.  

2. Determine the percentage of students living less than 10 miles from school:

  We know that 87.5% of these students live less than 10 miles from school.  

3. Convert the percentage to a decimal for calculation:

To convert 87.5% to a decimal, we divide by 100:  

[tex]\[ 87.5\% = \frac{87.5}{100} = 0.875 \][/tex]

4. Calculate the number of students:  

Now, multiply the total number of students by the decimal:  

Number of students = 0.875 × 40 = 35

5. Conclusion:

Therefore, 35 students in Ms. Carr's class live less than 10 miles from school.

A blue rope is three times as long as the red rope. A green rope is five times as long as the blue rope. If the total length is 508.25 meters, what is the length of the blue rope?

Answers

Answer:

The length of the blue rope is 80.25 meters.

Step-by-step explanation:

B = Blue Rope

G = Green Rope

R = Red Rope

B=3R (Blue is 3 x as long as Red)

G=5B (Green is 5 x as long as Blue)

B+G+R = 508.25 (The three ropes together are 508.25 meters)

Since B=3R, I will rewrite the equation above

3R + G + R = 508.25

Now, I will write G in terms of R:

G=5B

B=3R, so 5B = 15R (multiply both sides by 5) which means that G=5B=15R, so G=15R.

Rewrite the equation again in terms of R:

3R + 15R + R = 508.25

19R = 508.25 (combine like terms)

R = 26.75 (divide both sides by 19 to solve for R)

Now, use the value 26.75 (R, which is the length of the red rope) to solve for B (the length of the blue rope):

B=3R

B=3(26.75)

B=80.25 meters

Write two fractions that are equivalent to 5

Answers

Answer:

5/1, 25/5

Step-by-step explanation:

Select and place the symbol that will make the statement true.

6 ? 8

Answers

Answer:

6<8

Step-by-step explanation:

This is actually simple since the 6 is less than 8 the thing will face away from the 6 and towards the 8.

Given that (3,-8) is on the graph of f(x), find the
corresponding point for the function
f(x+4).

Answers

If I remember correctly, the x-coordinate 3 goes 4 left and the new ordered pair is (-1,-8). Don't take my word for it unless I'm actually right.

Which number line represents the solutions to x + 4 = 2?
A
+
-7
-6
+
-5
+
-4
+
-3
-2
+
-1
0
1
2
+
3
+
4
+
5
+
6
+
7
A
+
-7
+
-6
+
-5
+
-4
+
-3
+
-2
+
-1
+
0
+
1
+
3
2
+
5
4
+
6
+
+
7
+
I
+
+
+
+
-7
+
-6
+
-5
+ + + +
-4 -3 -2 -1
+
1
2
+
3
+
4
+
5
6
+
7
to to
+
+
-7
-6
-5
-4
-3
-2 -1
1
2
3
+ +
4
5
6
7

Answers

Answer:

-2

Step-by-step explanation:

The solution of the expression x + 4 = 2 is shown in image.

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

Expression is,

⇒ x + 4 = 2

Now, We can simplify as;

⇒ x + 4 = 2

Subtract 4 both side,

⇒ x + 4 - 4 = 2 - 4

⇒ x = - 2

Thus, The solution of the expression is,

\⇒ x = - 2

Learn more aboput the line segment visit:

https://brainly.com/question/280216

#SPJ7

enter the explicit rule for the geometric sequence.
3/2, 3/4, 3/8, 3/16, 3/32, . . .
an=​

Answers

The denominator is getting multiplied by 2

What is the value of x?

Answers

Answer: x = 15

Step-by-step explanation: The first thing to note is that what we have here are two similar triangles. First we have triangle ABC and secondly we have triangle EDC. Line BD is a transversal that cuts line AE at point C. Hence we can deduce that angle ACB is equal in measurement to angle ECD (opposite angles). Next we also observe that the other two angles are right angles, that is, 90° in size. Therefore we can conclude that the other two angles (angle ABC and angle EDC) are also of the same measurement.

We can now establish the ratio of the similar sides.

Line AB = Line ED

Line AC = Line EC

AB/ED = AC/EC

24/40 = 2x/3x + 5

3/5 = 2x/3x + 5 {the left hand side has been reduced to it's simplest form}

Next we cross multiply and that gives us

3(3x + 5) = 5(2x)

9x + 15 = 10x

Subtract 9x from both sides of the equation

15 = 10x - 9x

15 = x

Need help ASAP please

Answers

The answer is 32.5 . Ask me if you need work/ explanation

Find the circumference of this figure. Show your calculations.

Answers

Answer:

Circumference of circle= 37.68 units

Circumference of sector= 6.28 units

Step-by-step explanation:

The given figure is a circle with given radius OB= 6 units.

The circumference of a circle is the total length of its boundary.

For the complete circle its circumference can be calculated by;

           Circumference= [tex]2\pi r[/tex]

                                 [tex]=2*3.14*6\\=37.68[/tex] units

For the circumference of the Sector with 60° in the figure, the circumference can be calculate by:

                              [tex]=\frac{60}{360}* 2*\pi*6\\\\=\frac{1}{6}*12*3.14\\\\ =2*3.14\\\\=6.28[/tex] units

So, the circumference of the full circle is 37.68 units and the circumference of the sector is 6.28 units.

The width of a rectangular painting is 3in. More than twice the height. A frame that is 2.5 in. Wide goes around the painting

Answers

Question:

A width of a rectangular painting is 3 in. More than twice the height. A frame that is 2.5 in. Wide goes around the painting

a. write an expression for the combined area of the painting and frame.

b. use the expression to find the combined area when the height of the painting is 12 in.

c. use the expression to find the combined area when the height of the the painting is 15 in.

Answer:

a) (h + 5)(2h + 8) is the expression for the combined area of the painting and frame

b) The combined area when h = 12 is 544 square inches

c) The combined area when h = 15 is 760 square inches

Solution:

Given that,

A frame that is 2.5 inches wide goes around the painting

The frame will go around all 4 sides of the painting.

That means that the length of each side of the painting will increase by 2.5 inches

Therefore,

The height of painting and frame is:

h = h + 2.5 + 2.5

h = h + 5

(2.5  inches on the top and the bottom)

Also given that,

Width of a rectangular painting is 3 inches more than twice the height

w = 3 + 2h

Now the width of painting and frame is:

w = 3 + 2h + 2.5 + 2.5

(Again, 2.5 inches on the top and the bottom)

w = 2h + 8

Thus the combined area of the painting and frame is:

[tex]Combined\ area = (h+5)(2h+8)[/tex]

B) Substitute h = 12 inches

[tex]Combined\ area = (12+5)(2(12)+8)\\\\Combined\ area = 17 \times (24+8) = 17 \times 32\\\\Combined\ area = 544[/tex]

Thus the combined area when h = 12 is 544 square inches

C) Substitute h = 15 inches

[tex]Combined\ area = (15+5)(2(15)+8)\\\\Combined\ area = 20 \times (30+8) = 20 \times 38\\\\Combined\ area = 760[/tex]

Thus combined area when h = 15 is 760 square inches

If the function f(x) = (2x - 3)^3is transformed to g(x) = (-2x - 3)^3, which type of transformation occurred?
A. vertical shift
B. horizontal reflection
C. horizontal shift
D.vertical reflection

Answers

The answer is C. Horizontal shift

How to do 2(x+1.25)=3.5 by dividing both sides first.

Answers

Answer:

1/2

Step-by-step explanation:

2(x+1.25)=3.5

2x+2.5=3.5

2x=3.5-2.5

2x=1

x=1/2

Boyle’s law states that the volume of gas varies inversely with applied pressure. Suppose the pressure on 60 cubic meters of gas is raised from 1 atomsphere to 3 atmospheres. What new volume does the gas occupy?

Answers

Answer: 20m³

Step-by-step explanation:

From the statement

V <> 1/p --------------------- 1

V = k/p --------------------- 2

K. = VP ---------------------- 3

V = 60 , p = 1

To find k which is a constant, we put those values in equation 3

K = 60 x 1

= 60.

Now from the second statement

V = k/p where p is 3

Therefore,

V = 60/3

= 20m³

the amount in a savings account increased from $200 to $216. what was the percent increase?

Answers

Answer:

7.41%

Step-by-step explanation:

16/216 =

16 ÷ 216 =

0.074074074074074 =

0.074074074074074 × 100/100 =

0.074074074074074 × 100% =

(0.074074074074074 × 100)% ≈

7.407407407407% ≈

7.41%;

Find the minimum value of the
parabola
y = x2 − 4x − 5 .

Answers

Answer:

-2x-5

Step-by-step explanation:

in rectangle PQRS, shown below, the diagonal PR is 15 meters. if the sine of angle SPR is 7/10, what is the value of RS?

Answers

Answer:sin =perpendicular/hypotenuse

Step-by-step explanation:

Sin angle is given use tan theta or cos theta to find the RS


I NEED HELP ASAP The base of a triangle is 21 in. The height is 14 in. What is the area of the triangle?
A) 35 in2
B) 98 in2
C) 147 in2
D) 294 in2

Answers

Answer:

C 147in2

Step-by-step explanation:

Formula: [tex]\frac{bh}{2}[/tex]

b=base

h=height

21*14=294

294/2=147

Does anyone know this?

Answers

Basically add the rest of the numbers and take away by 1260

180 times7

Use this formula to get the total angle measurement of the figure:

T=180(n-2)

Since there are 7 sides, the total measurement must be:

180(7-2)

180(5)

900 degrees

Set up an equation and solve for x:

123+121+127+128+139+125+x=900

763+x=900

x=137

So the missing angle is 137 degrees.

Hope this helped!

A line passes through the origin and through points A(−2, b−14) and B(14−b, 72). What is the greatest possible value of b?

Answers

Answer:

The greatest possible value for b is 26.

Step-by-step explanation:

Given that the line passes through the Origin O(0, 0); A(-2, b - 14) &

B(14 - b, 72).

Let us assume the points are in the order: AOB.

Since the line passes through all these points the slope of the line segment AO = The slope of the line segment AB.

Slope of a line with two points: [tex]$ \frac{y_2 - y_1}{x_2 - x_1} $[/tex]   where [tex]$ (x_1, y_1) $[/tex] and [tex]$ (x_2, y_2) $[/tex] are the points given.

[tex]$ (x_1, y_1) = (0,0) $[/tex]

[tex]$ (x_2, y_2) = (-2, b - 14) $[/tex]

Therefore, the slope of the line segment AO = [tex]$ \frac{b - 14}{-2} $[/tex]

Similarly, for the slope of the line segment OB.

The two points are [tex]$ (x_1, y_1) = (0, 0) $[/tex] and [tex]$ (x_2, y_2) = (14 - b, 72) $[/tex].

The slope is:  [tex]$ \frac{72}{14 - b } $[/tex]

Since, the slopes are equal we can equate:

[tex]$ \frac{b - 14}{-2} = \frac{72}{14 - b} $[/tex]

[tex]$ \implies \frac{b - 14}{-2} = \frac{72}{-(b - 14)} $[/tex]

[tex]$ \implies (b - 14)^2 = 72 \times 2 = 144 $[/tex]

[tex]$ \implies (b - 14)^2 = 12^2 $[/tex]

Taking square root on both sides we get:

[tex]$ \implies (b - 14) = \pm 12 $[/tex]

[tex]$ \implies b = 2 \hspace{2mm} or \hspace{2mm} 26 $[/tex]

Therefore, the maximum value of b = 26.

Hence, the answer.

Other Questions
thatWhich of these best describes the secondary enforcement of seat belt laws?A. Police officers stop and ticket people for not wearing a seat beltwithout observing any other infraction.B. Police officers lecture people for not wearing a seat belt when theyget pulled over for driving while intoxicated.C. Police officers ticket people for not wearing a seat belt when theyget pulled over for speeding.D. Police officers arrest someone for not wearing a seat belt whenthey get pulled over for speeding. At December 1, 2017, Swifty Corporation Accounts Receivable balance was $12770. During December, Swifty had credit sales of $34200 and collected accounts receivable of $27360. At December 31, 2017, the Accounts Receivable balance is _____________.a) $19610 creditb) $1 debitc) $46970 debitd) $19610 debit Find the slope of the line. y=6 What is the maximum number of moles of N-acetyl-p-toluidine can be prepared from 70. milliliters of 0.167 M p-toluidine hydrochloride and an excess of acetic anhydride in an acetate buffer? Enter only the number with two significant figures. You are a network technician for a small corporate network. Today you moved an unused workstation to the IT Administration office, and now you need to connect the computer to the Ethernet local area network and the internet. In this lab, your task is to connect the workstation to the wired network as follows:_______ In the Networking Closet, use the appropriate twisted pair cable to make a connection between the patch panel and switch. Use port IT Adm on the patch panel. Use port 5 on the switch. In the IT Administration office:_____ Connect the ITAdmin workstation to the local area network using the appropriate twisted pair cable. Configure ITAdmin to obtain IP and DNS addresses automatically from the server on the local network. Use the Network and Sharing Center to confirm that the workstation is properly connected to the local area network and the internet. ____ twisted pair is the least quality twisted pair wire that should be used in a data/voice application. The cost to ship a package is a flat fee of 75 cents plus 25 cents per pound. 1. Declare a constant named CENTS_PER_POUND and initialize with 25. 2. Get the shipping weight from user input storing the weight into shipWeightPounds. 3. Using FLAT_FEE_CENTS and CENTS_PER_POUND constants, assign shipCostCents with the cost of shipping a package weighing shipWeightPounds. definition of motion? Please answer quickly what are 3 options for students with disabilities after high school a car is traveling at a speed of 60 miles per hour. Represent this situation with an equation. Define d as the distance the car has traveled and t as the number of hours it has traveled A. d = 60tB. D = + tC. T = 60 + dD. T = 60d Agents that paralyze skeletal muscle by simple competitive inhibition of acetylcholine at muscle receptor sites are called? Which of the following cells is formed by meiosis?A.a bacterial cellB. A egg cellC. A stem cellD a brain cell What was the initial impact of the movement of nomadic peoples into territorial states and urban centers in the first millennium BCE? What chance factors at Hiroshima added to the inherent destructiveness of the atomic bomb and produced more deaths and devastation than american scientists had expected Definition: This is an organism that relies on other organisms for its food and energy supply; also called a heterotroph. PLEASE HELPThe panpipe usually has ____or more pipes of gradually increasing lengththat are stopped at one end.A. twelveB. tenC. sixD. eight The editors job is to construct the overall form of the movie. To this end, what three aspects must the film editor manage? In many universities, graduate students are employed to teach introductory undergraduate courses, even though the full professors at these universities have more experience and could potentially teach these courses better. Which of the following best explains why universities choose to hire graduate students instead of full professors to teach their introductory courses?A. The opportunity cost of teaching an introductory course is higher for graduate students than for full professors.B. The opportunity cost of teaching an introductory course is higher for full professors than for graduate students.C. Graduate students are cheaper.D. Introductory classes are the best place for graduate students to build their teaching skills. Colton takes out a $16,000 student loan to pay his expenses while he is in college. After graduation, he will begin making payments of $103.09 per month for the next 25 years to pay off the loan. How much will Colton end up paying for the loan than the original value of $16,000