(8.5-2x)(11-2x)(x) what is the approximate value of x that would allow you to construct an
open-top box with the largest volume possible from one piece of paper

Answers

Answer 1

The largest volume possible from one piece of paper for open-top box is 64.296 cubic unit.

What is meant by the term maxima?The maxima point on the curve will be the highest point within the given range, and the minima point will be the lowest point just on curve. Extrema is the product of maxima and minima.

For the given question dimensions of open-top box;

The volume is given by the equation;

V = (8.5-2x)(11-2x)(x)

Simplifying the equation;

V = x(4x² - 39x + 93.5)

Differentiate the equation with respect to x using the product rule.

dV/dx = x(8x -39) + (4x² - 39x + 93.5)

dV/dx = 8x² - 39x + 4x² - 39x + 93.5

dV/dx = 12x² - 72x + 93.5

Put the Derivative equals zero to get the critical point.

12x² - 72x + 93.5 = 0.

Solve using quadratic formula to get the values.

x = 4.1  and x = 1.9

Put each value of x in the volume to get the maximum volume;

V(4.1) =  4.1(4(4.1)² - 39(4.1) + 93.5)

V(4.1) = 3.44 cubic unit.

V(1.9) = 1.9(4(1.9)² - 39(1.9) + 93.5)

V(1.9) = 64.296 cubic unit. (largest volume)

Thus, the largest/maximum volume possible from one piece of paper for open-top box is 64.296 cubic unit.

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Related Questions

write in slope intercept form and identity the slope and y intercept. a. x/3 + y/2 = 1b. 4x -3y + 2 =0c. x - y = 5(x - y)

Answers

Consider that the slope-intercept form of the straight line with slope (m) and y-intercept (c) is given by,

[tex]y=mx+c[/tex]

a.

Modify the given equation as,

[tex]\begin{gathered} \frac{x}{3}+\frac{y}{2}=1 \\ \frac{y}{2}=-\frac{x}{3}+1 \\ y=-\frac{2}{3}x+2 \end{gathered}[/tex]

Thus, the equation in slope-intercept form can be written as,

[tex]y=-\frac{2}{3}x+2[/tex]

b.

Modify the given equation as,

[tex]\begin{gathered} 4x-3y+2=0 \\ 3y=4x+2 \\ y=\frac{4}{3}x+\frac{2}{3} \end{gathered}[/tex]

Thus, the equation in slope-intercept form can be written as,

[tex]y=\frac{4}{3}x+\frac{2}{3}[/tex]

c.

Modify the given equation as,

[tex]\begin{gathered} x-y=5(x-y) \\ x-y=5x-5y \\ 5y-y=5x-x \\ 4y=4x \\ y=x \end{gathered}[/tex]

Thus, the equation in slope-intercept form can be written as,

[tex]y=x[/tex]

What is the smallest figure in geometry?

Answers

By definition, a point is the smallest figure in geometry.

15 Points and branliest for all three!​

Answers

According to SAS Congruence Theorem and the reflexive property of congruence, it can be proved  that ΔSPQ ≅ ΔTPQ.

It is given to us that -

PQ bisects ∠SPT

SP ≅ TP

We have to prove that ΔSPQ ≅ ΔTPQ

Now, as PQ bisects ∠SPT,

∠SPQ = ∠TPQ

Also, according to the Reflexive Property of Congruence, PQ is a common side of both triangles - ΔSPQ and ΔTPQ.

Thus, according to SAS Congruence Theorem,

"If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent."

Therefore, according to SAS Congruence Theorem, we have proved that ΔSPQ ≅ ΔTPQ.

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Kristy is paid semimonthly. The net amount of each paycheck is$750.50. What is her net annual income?a. $18,012b. $4,503c. $19,513d. $9,006

Answers

SOLUTION

Given the question in the question tab, the following are the solution steps to answer the question.

STEP 1: Define semimonthly

A semimonthly payroll is paid twice in a month.

STEP 2: Calculate the net annual income

[tex]\begin{gathered} Net\text{ annual income means the total money received in a year.} \\ \text{If net amount of each paycheck is \$750.50 and it is a semimonthly payment, then;} \\ \text{monthly payment=\$750.50}\times2=\text{\$}1501 \\ \\ There\text{ are 12 months in a year,} \\ \text{If Kristy earns in month, then the amount earned in a year is:} \\ 12\times\text{\$1501=\$18,012} \end{gathered}[/tex]

Hence, her net annual income will be $18,012

OPTION a

complete the table using y=5x+9 (x)-1,0,1,2,3(y)

Answers

To complete the table, plug each given x value into the equation. Then,

[tex]\begin{gathered} \text{ If x = -1} \\ y=5x+9 \\ y=5(-1)+9 \\ y=-5+9 \\ y=4 \\ \text{ So, you have the point} \\ (-1,4) \end{gathered}[/tex][tex]\begin{gathered} \text{ If x = 0} \\ y=5x+9 \\ y=5(0)+9 \\ y=0+9 \\ y=9 \\ \text{ So, you have the point} \\ (0,9) \end{gathered}[/tex][tex]\begin{gathered} \text{ If x = 1} \\ y=5x+9 \\ y=5(1)+9 \\ y=5+9 \\ y=14 \\ \text{ So, you have the point} \\ (1,14) \end{gathered}[/tex][tex]\begin{gathered} \text{ If x = 2} \\ y=5x+9 \\ y=5(2)+9 \\ y=10+9 \\ y=19 \\ \text{ So, you have the point} \\ (2,19) \end{gathered}[/tex][tex]\begin{gathered} \text{ If x = 3} \\ y=5x+9 \\ y=5(3)+9 \\ y=15+9 \\ y=24 \\ \text{ So, you have the point} \\ (3,24) \end{gathered}[/tex]

Therefore, you would get the table

what digit is in the

Answers

SOLUTION

Given the question in the image, the following are steps to solve the question.

Step 1: Write out the given function to be plotted on the graph.

[tex]x=6[/tex]

Step 2: Plot the function on the graph. Please note that x=6 means that the line on the graph will pass through the point where x-axis is equal to 6. This can be better explained on the graph below.

The red line passing through x-axis at point 6 indicates x=6.

What is the average value of -2/5, 7/10, 1/2, -1/5

Answers

The average of numbers is equal to sum of values to number of values.

Determine the average value of observations.

[tex]\begin{gathered} a=\frac{-\frac{2}{5}+\frac{7}{10}+\frac{1}{2}-\frac{1}{5}}{4} \\ =\frac{\frac{-4+7+5-2}{10}}{4} \\ =\frac{\frac{6}{10}}{4} \\ =\frac{3}{20} \end{gathered}[/tex]

So average value of the numbers is 3/20.

Write an expression for the measure of the given angle

Answers

Solution:

Remember that the angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference. According to this, we can deduce the following expression for the measure of the given angle:

[tex]m\angle UXY=\frac{arc\text{ }UZW}{2}[/tex]

Lynn has 54 pennies, 80 nickels, 22 dimes, 41 quaters, and 3 dollars. How much money does he have in total

Answers

He has 1999 cents that is equal to 20 dollars approximately as per money conversion theory that defines "The ratio between two currencies, which is known as a conversion rate and is most frequently used in foreign exchange markets, indicates how much of one currency must be exchanged for the value of another."

What is money?

Any tangible object or verifiable record that is commonly accepted as payment for goods and services as well as the repayment of debts, such as taxes, in a specific nation or socioeconomic setting is referred to as money.

Here,

Lynn has 54 pennies, 80 nickels, 22 dimes, 41 quarters, and 3 dollars.

1 Penny=1 cent

1  Nickel=5 cents

1 Dime=10 cents

1 Quarter=25 cents

1 dollar=100 cents

by this,

54 pennies=54*1=54 cents

80 nickels=80*5=400 cents

22 dimes=22*10=220 cents

41 quarters=41*25=1025 cents

3 dollars=3*100=300 cents

The total money he has=54+400+220+1025+300

=1999 cents

100 cents make to 1 dollar.

so 1999 cents will make to 19.99 dollars.

According to the money conversion theory, which states that "the ratio between two currencies, which is known as a conversion rate and is most frequently used in foreign exchange markets, indicates how much of one currency must be exchanged for the value of another," he has 1999 cents, which is approximately equal to $20.

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In a dog race of 9 equally talented runners, what is the probability that Dasher, Dancer, and Prancer will finish first,second, and third, respectively?21/907201/3628801/5041/3

Answers

Combinations and Variations of Elements

Let's suppose we have two dogs only, A and B. They can only finish in two possible orders: AB or BA.

If we add a third dog, let's say C, the combinations (better-called variations here) are now ABC, ACB, BAC, BCA, CAB, and CBA, a total of 6 variations.

Note that we added a 3rd element and the variations changed from 2 to 6, that is, the number was multiplied by 3.

If we add a fourth dog, the total number of possible variations is 6*4 = 24

Following this very same pattern, for 9 dogs, there will be a total of

9*8*7*6*5*4*3*2 = 362880 variations.

Out of these possibilities, we are trying to find the probability that the first three places are occupied by three specific dogs, and the other 6 positions can be filled up with a random variation that will give us

6*5*4*3*2 = 720 variations.

Thus the required probability is:

[tex]\begin{gathered} p=\frac{720}{362880} \\ \text{Simplifying the result, we get:} \\ p=\frac{1}{504} \end{gathered}[/tex]

just need help with this one real quick. What do I put for B.I know the maximum value is (3,24)

Answers

We were given:

[tex]\begin{gathered} f(x)=-3x^2+18x-3 \\ f(x)=y \\ \Rightarrow y=-3x^2+18x-3 \\ y=-3x^2+18x-3 \\ a=-3,b=18,c=-3 \end{gathered}[/tex]

We will calculate the minimum point as shown below:

[tex]\begin{gathered} min=c-\frac{b^2}{4a} \\ min=-3-\frac{18^2}{4(-3)} \\ min=-3-\frac{324}{-12} \\ min=-3-(-27) \\ min=-3+27 \\ min=24 \\ \text{This is the maximum value (not minimum)} \\ x=-\frac{b}{2a} \\ x=-\frac{18}{2(-3)} \\ x=\frac{-18}{-6} \\ x=3 \\ \\ \therefore Maximum\text{ point is (3, 24)} \end{gathered}[/tex]

This quadratic equation opens downward because the value of ''a'' is negative. Hence, the function only has a maximum point, it does not have a minimum point

The maximum value of the function is 24 and it occurs at x equals 3

I need help finding point slope form

Answers

We were given two points to find the equation of the line, these are (4,3) and (5,5).

We need to find the point-slope form, which can be writen as follow:

[tex]y-y_1=m\cdot(x-x_1)_{}[/tex]

Where (y1,x1) is one point on the line and "m" is the slope of the line. We first need to find the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (y1,x1) and (x2,y2) are the two known points. We can find the slope by applying the two points given to us:

[tex]m=\frac{5-3}{5-4}=2[/tex]

We can know write the expression of the line:

[tex]y-5=2\cdot(x-5)[/tex]

Find the X-intercept and Y-Intercept of the line. Write your answer as exact values. do not write your answer as order pairs

Answers

The equation of the line is given as,

[tex]8x-5y=14[/tex]

The intercepts are the points at which the curve intersects the coordinate axes.

The x-intercept of the line will be the value of 'y' at which the x-coordinate becomes zero. This can be calculated as follows,

[tex]\begin{gathered} 8x-5(0)=14 \\ 8x=14 \\ x=\frac{7}{4} \\ x=1.75 \end{gathered}[/tex]

Similarly, the y-intercept is the point at which the line intersects the y-axis. This can be calculated as,

[tex]\begin{gathered} 8(0)-5y=14 \\ -5y=14 \\ y=\frac{-14}{5} \\ y=-2.8 \end{gathered}[/tex]

Thus, the x-intercept and y-intercept are obtained as,

[tex]\begin{gathered} \text{ x-intercept}=1.75 \\ \text{ y-intercept}=-2.8 \end{gathered}[/tex]

f(x) = 2x^3+4x^2+2x+1g(x) = x^3 –x^2+7x+9Find (f+g)(x):

Answers

Let's rewrite the functions:

[tex]\begin{gathered} f(x)=2x^3+4x^2+2x+1 \\ g(x)=x^3-x^2+7x+9 \end{gathered}[/tex]

To get (f+g)(x), we just add them together:

[tex](f+g)(x)=f(x)+g(x)=2x^3+4x^2+2x+1+x^3-x^2+7x+9[/tex]

We can simplify be pairing the terms with the same order:

[tex]\begin{gathered} (f+g)(x)=f(x)+g(x)=2x^3+x^3+4x^2-x^2+2x+7x+1+9= \\ =(2+1)x^3+(4-1)x^2+(2+7)x+10=3x^3+3x^2+9x+10 \end{gathered}[/tex]

So:

[tex](f+g)(x)=3x^3+3x^2+9x+10[/tex]

Which graph fits this line? O y= 2x + 1 O A O D. B. x / X E. # Oc. *

Answers

Answer: Option A

Given the above equation

y = 2x + 1

Firstly, we need to find the y and x - intercepts

To find y - intercept, make x = 0

y = 2(0) + 1

y = 0 + 1

y = 1

To find x - intercept, put y = 0

0 = 2x + 1

Collect the like terms

0 - 1 = 2x

-1 = 2x

Divide both sides by 2

2x = -1

2x/2 = -1/2

x = -1/2

Therefore, x = -1/2 and y = 1

(-1/2, 1)

Step 2: Graph the point

Instructions: For the following real-world problem, solve using any method. Use what you've learned to determine which method would be best. Put your answer in the context of the problem and determine the appropriate final answer. A sprinkler is set to water the backyard flower bed. The stream of water and where it hits the ground at the end of the stream can be modeled by the quadratic equation -22 + 14x + 61 = 0 where x is the distance in feet from the sprinkler. What are the two solutions in exact form? 2 x V X or What are the rounded values (to two decimal places)? Which of these answers makes sense in context to be the value of the number of products? x =

Answers

Given the next quadratic equation:

[tex]-x^2+14x+61=0[/tex]

we can use the quadratic formula to solve it, as follows:

[tex]\begin{gathered} x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x_{1,2}=\frac{-14\pm\sqrt[]{14^2-4\cdot(-1)\cdot61}}{2\cdot(-1)} \\ x_{1,2}=\frac{-14\pm\sqrt[]{196+244}}{-2} \\ x_{1,2}=\frac{-14\pm\sqrt[]{440}}{-2} \\ x_1=\frac{-14+\sqrt[]{440}}{-2}=\frac{-14}{-2}-\frac{\sqrt[]{440}}{2}=7-\sqrt[]{110} \\ x_2=\frac{-14-\sqrt[]{440}}{-2}=\frac{-14}{-2}+\frac{\sqrt[]{440}}{2}=7+\sqrt[]{110} \end{gathered}[/tex]

The rounded values (two decimal places) are:

[tex]\begin{gathered} x_1=7-10.49=-3.49 \\ x_2=7+10.49=17.49 \end{gathered}[/tex]

Since x is the distance, in ft, from the sprinkler, it cannot be negative, then the answer which makes sense in the context of this problem is 17.49 ft

can you help me solve this​

Answers

Refer to photo taken.

O GEOMETRY Perimeter involving rectangles and circles A rectangular paperboard measuring 20 in long and 13 in wide has a semicircle cut out of it, as shown below. What is the perimeter of the paperboard that remains after the semicircle is removed? (Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.) Explanation +0 13 in 20 in Check 0 in X in² 5 in³ 3/5 ? Nikida E: 6 C E E 121

Answers

The perimeter of the paperboard that remains after the semicircle is removed is 185.66in.

It is given to us that the measurement of rectangular paperboard are -

Length = 20in

Width = 13in

A semicircle is cut out of it.

We have to find out the perimeter of the paperboard that remains after the semicircle is removed.

Now, according to the given figure,

Radius of the semi circle = 1/2 (Width of the paperboard) ---- (1)

Let us say the radius of the semi circle is "[tex]r[/tex]".

So, from equation (1),

[tex]r = \frac{13}{2}\\ = > r = 6.5[/tex] in ---- (2)

Now, Perimeter of the paperboard that remains after the semicircle is removed =

Bottom length + Left width + Top length + Right circumference of the semicircle

= 20 + 13 + 20 + ([tex]\pi r^{2}[/tex])  [Circumference of semicircle = [tex]\pi r^{2}[/tex]]

= 53 + [[tex]\pi (6.5)^{2}[/tex]]             [From equation (2), we have [tex]r = 6.5[/tex] in]

= 53 + 132.66

= 185.66 in

Thus, the perimeter of the paperboard that remains after the semicircle is removed is 185.66in.

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Jessica and her father are comparing their ages. At the current time, Jessica's father is 24 years older than her l. Three years from now, Jessica father will be five times her age at the pointQUICK PLEASE

Answers

Current ages

Jessica's age = x

Jessica's father = x + 24

In 3 years time, there ages will be:

Jessica's age = x+ 3

Jessica's father = x + 24 + 3 = x + 27

But Jessica's father will be 5 times her age

Hence;

x + 27 = 5(x+3)

Open the parenthesis

x + 27 = 5x + 15

collect like term

5x - x = 27 - 15

4x = 12

Divide both-side of the equation by 4

x = 3

In the current time;

Jessica is 3 years old

Jessica's father is x + 24 = 3 + 24 = 27 years old

Please help me I don’t know how to solve this :(

Answers

You have already found the slope, which is 2

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

= (9200-9000)/(225-125)

= 200/100

= 2

The question tells us that it is a linear function

y = mx +b is the slope intercept form of a linear function

m is the slope and b is the initial value

c(n) = mn+b

c(n) = 2n+b

Using one of the points in the table we can find b

(125,9000)

9000 = 2(125) +b

9000 = 250+b

9000-250 = b

8750 = b

The initial value is 8750

This is also the estimate of c(0) because the initial value is when n=0

We can write the equation

c(n) = fixed cost + unit cost * number of units

The fixed cost is the initial value

the unit cost is the slope or m

c(n) = 8750 + 2n

17% of 800 is what number?

Answers

We want to obtain ;

[tex]17\text{ \% of 800}[/tex]

That number would be

[tex]\begin{gathered} \frac{17}{100}\times800=\text{ }\frac{17\times800}{100} \\ =136 \end{gathered}[/tex]

Therefore, 17% of 800 is 136.

Can you help me find the discriminant of this quadratic question aswell as the number and type of solutions?Problem: 2x^2+2=-5x

Answers

Given the quadratic equation:

[tex]2x²+2=-5x[/tex]

we can write it like this:

[tex]2x²+5x+2=0[/tex]

the discriminant is the expression b²-4ac. In this case, a = 2, b = 5 and c = 2, then, the discriminant is:

[tex]b²-4ac=(5)²-4(2)(2)=25-16=9[/tex]

notice that the discriminant is 9 > 0, therefore, the quadratic function has two real solutions

Two buses leave town 1404 kilometers apart at the same time and travel toward each other. one bus travels 12 km/h faster than the other. if they meet in 6 hours, what is the rate of each bus?rate of faster bus: km/hrate of slower bus: km/h

Answers

Let rate of faster bus be x km/h and rate of slower bus be y km /hr.

The relation between rate of slower and faster bus is,

[tex]x=y+12[/tex]

Two bus are travelling in opposite direction so relative speed is,

[tex]x+y[/tex]

Two buses meet in 6 hours so,

[tex]\begin{gathered} (x+y)\cdot6=1404 \\ x+y=234 \end{gathered}[/tex]

Substitute y + 12 for x in the equation to obtain the value of y.

[tex]\begin{gathered} y+12+y=234 \\ 2y=234-12 \\ y=\frac{222}{2} \\ =111 \end{gathered}[/tex]

Determine the value of x.

[tex]\begin{gathered} x=111+12 \\ =123 \end{gathered}[/tex]

So answer is,

Rate of faster bus is 123 km/hr

Rate of slower bus is 111 km/hr.

Solve and graph on a number line x - 2 > -5 and x - 2 < 4

Answers

ANSWER

Interval notation: (-3, 6)

Inequality form: -3 < x < 6

Number Line Graph:

EXPLANATION

[tex]\begin{gathered} x\text{ - 2 > - 5 OR x - 2 < 4} \\ x\text{ > - 5 + 2 OR x < 4 + 2} \\ x\text{ > -3 OR x < 6} \\ \end{gathered}[/tex]

Hence, -3 < x < 6

A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts. Write a proportional equation where r represents the amount of raisins, and p represents the amount of peanuts.

Answers

A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts. Write a proportional equation where r represents the amount of raisins, and p represents the amount of peanuts.​

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where

k is the constant of proportionality

In this problem we have

p=kr

step 1

Find the value of k

k=p/r

we have the ordered pair (4,6)

substitute

k=6/4

k=1.5

therefore

the proportional equation is

p=1.5r

How do I find the area of different shapes? Is it the same exact as finding the area of a square?Please help! e.g. Trapezoid, Triangle, Octagon

Answers

Then area of each shape can be find ina different form. Each figure have a formula to find the area.

For example

Trapezoid:

[tex]A=\frac{1}{2}(B_1+B_2)\cdot h[/tex]

Where B1 is one of the bases and B2 the other base. h is the vertical height.

Triangle:

[tex]A=\frac{1}{2}(b\cdot h)[/tex]

b is the base and h is the vertical height.

Regular polygon:

[tex]A=\frac{P\cdot a}{2}[/tex]

P is the perimeter of the regular polygon and a is the apothem (the distance for the center of the polygon to the mind-point of a side.

Graph g(x)= 2|x-2|-3 and the parent function f(x)=|x|. Describe the transformations that occurred from f(x) to g(x). Then, describe the domain and range.

Answers

The first thing to do is to graph both equations, as follows:

It is possible to check from the equations that there is no restriction for the value of x in both equations, and from the graph, we see that for each value of x, there is always a value of Y well defined. For this reason, we are able to conclude that the domain of both equations is all the real numbers.

Now, for the range of each, we can see that the values of Y for both are restricted to real numbers higher than the minimum value. For equation g(x), the range is the real numbers higher or equal to -3, while for f(x) the range is the real numbers higher or equal to 0.

1.) Your 3 year investment of $20,000 received 5.2% interested compounded semi annually. What is your total return? ASW

Answers

Let's begin by listing out the information given to us:

Principal (p) = $20,000

Interest rate (r) = 5.2% = 0.052

Number of compounding (n) = 2 (semi annually)

Time (t) = 3 years

The total return is calculated as shown below:

A = p(1 + r/n)^nt

A = 20000(1 + 0.052/2)^2*3 = 20000(1 + 0.026)^6

A = 20000(1.1665) = 23,330

A = $23,330

Enter the equation of the circle with the given center and radius. Center: (7,0); radius: 3 The equation is

Answers

Given data:

The given coordinate of centre of the circle is (7,0).

The given radius of the circle is r=(3)^(1/2).

The equation of the circle is,

[tex]\begin{gathered} (x-7)^2+(y-0)^2=(\sqrt[]{3})^2 \\ (x-7)^2+y^2=3 \end{gathered}[/tex]

Thus, the equation of the circle is (x-7)^2 +y^2 =3.

Diego is trying to write the expression 2 + 1 - in a way that makes it easier tocalculate. He says, “I can switch the order of 1 and and write 2+- 1 then I canget an equivalent expression that's easier to compute.Do you agree with Diego's reasoning? Why or why not?

Answers

While switching the order during adding or substraction,

Other Questions
how much time has elapse? 3:00 A.M to 7:14 A.M Q1 6.6QUESTION 1IF YOU CANT DO QUESTION 1 DO 2 OR 3THANK YOU Based on what you have read, describe how Elizabeth Partridge makes connections between Woody Guthries life and his music. Translate this phrase into an algebraic expression.64 less than twice Greg's heightUse the variable g to represent Greg's height.A+.x & S? The expression 5a + 3c can be used to find the cost of a adults and c children to attend the school play. What is the cost of 4 adults and 9 children to attend the school play? Use the model A = Pe^rt to determine the average rate of return under continuous compounding. Round to thenearest tenth of a percent. Avoid rounding in intermediate steps. I need help please I'll send the rest after we meet Evaluate your answers as a fraction in simplest form [tex]( \frac{1}{3} ) {4} [/tex] For the following reaction, 0.156 moles of sulfuric acid are mixed with 0.567 moles of calcium hydroxide. After crossing a bridge, Brian drives at a constant speed. The graph below shows the distance (in miles) versus the time since he crossed the bridge (in FUse the graph to answer the questions.1140100Distance (miles)5020Time (hours)OR(a) How much does the distance increase for each hoursince Brian crossed the bridaeExplanation Check2022 McGraw Hill LLC. All Rights Reserved. Terms of UsePrivacy Cer2Tyne here to search Samantha likes to run at least 5 miles each day. She plans a new course: from home to the park is 1 1/3 miles, from the park to the library is 2 2/5 miles, and from the park to home is 2/3 mile. Will Samantha run at least 5 miles on this new course? Use only estimation to decide. Then explain if you are confident in your estimate or if you need to find an actual sum. Show your work. High Incomes Don't Bring You HappinessBased on the information in the article, which of the following would improve the happiness of the median U.S. household.A. keeping their income below $52,000B. keeping their income at exactly $52,000C. increasing their income to no higher than $75,000D. increasing their incomes to be greater than $75,000 Turn the following word equation into a symbolic equation: potassium hydroxide and hydrobromic acid react to form potassium bromide and water. you are in class listening to the instructor, but the students on both sides of you are having separate quiet conversations. even though these conversations are distracting, you are able to maintain your focus and attention on the lecture. what skill are you utilizing? a.divided attention b.selective attention c.ignoring d.focused attention Explain when 'p or q' is true. Select all that apply.A. 'p or q' is true when both p and q are false.B. 'p or q' is true when p is true and q is false.C. 'p or q' is true when p is false and q is true.D. 'p or q' is true when both p and q are true. 14 in 8 in 5 in 7 in 9 in 15 in The mass of a bike and cyclist is 75.0 kg. The rider starts at rest at a height of Om. She speeds up to 6.00 m/s. What is the mechanical energy of thebike?The answers would be one of the four choices in the pictures. Outline alpha, betta and gamma radiation in terms of depth of tissue penetration, ionizing effect and speed of radiation. Find the midpoint M of the line segment joining the points C=(8,7) and D= (4,-5) 1. Write an equation for a polynomial with the following properties: it has even degree, it has at least 2 terms, and, as the inputs getlarger and larger in either the negative or positive directions, the outputs get larger and larger in the negative direction.