solve plzz!?!!?!?!?!?

Solve Plzz!?!!?!?!?!?

Answers

Answer 1

Answer:

[tex]([7]x+[2])^2[/tex]

Step-by-step explanation:

Given:

[tex]49x^2+28x+4[/tex]

We need to factorize the given trinomial.

To solve the above expression we will Split the product of first term and third term to get the second term by either adding or subtracting.

So we get;

[tex]49x^2+14x+14x+4\\\\7x(7x+2)+2(7x+2)\\\\(7x+2)(7x+2)\\\\(7x+2)^2[/tex]

Hence Final Answer is:

[tex]([7]x+[2])^2[/tex]


Related Questions

A fotball team won 10 matches out of the total number of matches played.if their win percentage was 40, then how many matches did they play in all

Answers

Answer:

this is the correct ans

Good evening ,

Answer:

25 matches

Step-by-step explanation:

it’s clear that we are in proportionality situation:

10 —————->40%

x  —————>100%

then  x = (10×100)÷40 = 25.

:)

How many eighths are in 3/4

Answers

Answer:

There are 6

Step-by-step explanation:

X * 1/8 = 3/4

X = (3/4) * 8

X = 6

how much time is needed for $600 to accumulate $72 in simple interest at a rate of 4%

Answers

The time is 3 years that needed for $600 to accumulate $72 in simple interest at a rate of 4%.

How to calculate simple interest amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest,

then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.

To calculate;

4% of 600 is 24.

We have;

72/24=3

3 years, months, weeks, etc.

The time is 3 years that needed for $600 to accumulate $72 in simple interest at a rate of 4%.

Learn more about simple interest here:

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Sean has a toy race car track in his room. It takes
3/4
of a minute for a race car to travel
4 1/2
times around the track. At this rate, how long does it take the race car to go around the track 1 time?

Answers

Answer:

It would take the race car 10 seconds to go around the track one time.

Step-by-step explanation:

3/4 minutes = 45 seconds

This means 4 1/2 laps of the track is 45 seconds

4 1/2 = 45

Divide both sides by 4 1/2 to find the length of time to complete 1 lap

1 time around the track = 10 seconds

Answer:

1/6

Step-by-step explanation:

3/4 divided by 4 1/2 = 1/6

1. The science club constructed a pyramid with a square base out of paper clips. The height of the pyramid is 2.5 feet. One side of the square measures 2.5 feet. What is the slant height of the pyramid?

2. A modern skyscraper is being built with triangular shaped windows. One window is a right triangle with the longest side measuring 24 inches and another side measuring 12 inches. What is the length of the third side of the window?

3. The height of a cone-shaped building is 50 feet, and the radius of its base is 20 feet. Find the building's slant height. Show all work

Answers

Answer:

Part 1) The slant height of the pyramid is [tex]2.80\ ft[/tex]

Part 2) The length of the third side of the window is [tex]20.78\ in[/tex]

Part 3) The building's slant height is [tex]53.85\ ft[/tex]

Step-by-step explanation:

Part 1) we know that

To find out the slant height of the pyramid, apply the Pythagorean Theorem

Let

l ----> the slant height of the pyramid

h ---> the height of the pyramid

b ---> the length side of the square base

[tex]l^2=h^2+(b/2)^2[/tex]

we have

[tex]h=2.5\ ft\\b=2.5\ ft[/tex]

substitute the given values

[tex]l^2=2.5^2+(2.5/2)^2[/tex]

[tex]l^2=2.5^2+(1.25)^2[/tex]

[tex]l^2=7.8125[/tex]

[tex]l=2.80\ ft[/tex]

Part 2) Let

c ----> the hypotenuse of a right triangle (the greater side)

a ---> the measure of one leg of the right triangle

b ---> the measure of the other leg of the right triangle

Applying the Pythagorean Theorem

[tex]c^2=a^2+b^2[/tex]

we have

[tex]c=24\ in\\a=12\ in[/tex]

substitute the given values and solve for b

[tex]24^2=12^2+b^2[/tex]

[tex]b^2=24^2-12^2[/tex]

[tex]b^2=432[/tex]

[tex]b=20.78\ in[/tex]

Part 3) Let

l ----> the building's slant height

h ---> the height of the building

r ---> the radius of the base of the building

Applying the Pythagorean Theorem

[tex]l^2=h^2+r^2[/tex]

we have

[tex]h=50\ ft\\r=20\ ft[/tex]

substitute the given values

[tex]l^2=50^2+20^2[/tex]

[tex]l^2=2,900[/tex]

[tex]l=53.85\ ft[/tex]

(A) all values at which F has a local maximum:

(B) all local maximum values of F:

Answers

Answer:

  (a) {-3, 2}

  (b) {3, 4}

Step-by-step explanation:

The high points are (-3, 3) and (2, 4).

The x-values at which the function has a local maximum are {-3, 2}.

The local maximum values are {3, 4}.

_____

Your answer box probably doesn't want the curly brackets and maybe not the spaces, either. Those brackets are used to identify a set of values.

The best answers to your questions are :

All values at which f  has a local maximum =  ( -3, 2 ) All local maximum values of  f = ( 3, 4 )

From the graph attached the high points that can be seen on the graph are ;  (-3,3) and (2, 4).

therefore the x-values at which the function f will have a local maximum will be  ( -3, 2) while  All local maximum values will be ( 3, 4 )

The Local maximum point on the graph of a function is a point (x,y) where the value of y ( y coordinate ) has the highest value when compared with the value of other y-coordinates.

Hence ; All values at which f has a local maximum = ( 3,2 ) while All local maximum values of f = ( 3,4 )

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mai spends 7 3/5 hours in school each day her lunch period is 30 minutes long and she spends a total of 42 minutes switching rooms between classes the rest of her day is spent in 6 classes that are all the same length how long is each class

Answers

Answer:

hi there!

the correct answer is:  one hour and 4 mins

Step-by-step explanation:

well first of all you want to convert 7 3/5 hours to minutes which you will get 456 minutes

then you want to subtract 72 mins (30+42) from 456 and you get 384

then since there are 6 classes a day, you will divide 384 by 6 to get 64 so each class is one hour and 4 mins

Answer:

1 1/15 hours each class

Step-by-step explanation :

I'm pretty sure this is the answer and here is why :

7 3/5 = 456 in minutes

30  + 42 = 72

384 divided by 60 = 6.4

and

6.4 divided 6 = 1. 066666667 so the answer choices :

1 1/15 hr - 1 3/20 - 1 11/60 - 1 4/15

There would only be one correct answer and it is 1 1/15 here's why :

We get that the one stands for hours but 1 divided by 15 equals = 0.066666667 and it matches our answer from before.

Y= 5x+32 , y=-4x-22 how to solve the system of equations

Answers

Answer:

x = -6; y = 2 is the solution of the given system of equations.

Step-by-step explanation:

The given equations are :

y = 5x + 32        .......(1)

y = -4x - 22        .......(2)

Substituting the value of 'y' from equation (1) in equation (2), we get

   5x + 32 = -4x - 22

⇒5x + 4x = -22 - 32

⇒9x = -54

x = (-54) ÷ 9

x = -6

Put x = -6 in equation (1), we get

y = 5 × (-6) + 32 = -30 + 32 = 2

So, x = -6; y = 2 is the solution of the given system of equations.

Answer:

Step-by-step explanation:

y = 5x + 32

y = -4x - 22

u can solve this by substitution......u can start with either equation....i will start with the first one....y = 5x + 32.....so sub in 5x + 32 in for y, back into the second equation.

y = -4x - 22

5x + 32 = -4x - 22....add 4x to both sides

5x + 4x + 32 = -22 ....subtract 32 from both sides

5x + 4x = -22 - 32 ....combine like terms

9x = - 54 ....divide by 9

x = -54/9

x = -6

now we sub -6 in for x in either of the original equations to find y

y = 5x + 32

y = 5(-6) + 32

y = -30 + 32

y = 2

lets check it..  (-6,2)

y = 5x + 32                                y = - 4x - 22

2 = 5(-6) + 32                            2 =  -4(-6) - 22                  

2 = -30 + 32                               2 = 24 - 22

2 = 2 (correct)                            2 = 2 (correct)

yep, ur solution is : x = -6 and y = 2......or (-6,2)

If f(x) = (x-3)^2+1, what is (6)

Answers

Answer:

f(6)=10

Step-by-step explanation:

6-3=3

3^2=3*3=9

9+1=10



The cost per week of running a boarding house is partly constant and partly
varies with the number of students in the hostel. If it costs N3500.00 a week for
25 students, and N6000.00 for 50 students. Find the cost of running the boarding
house for 600 students.​

Answers

Answer:

the cost of running the boarding

house for 600 students is N61,000

Step-by-step explanation:

Let C represents cost

K1 represents first constant

K2 represents second constant

C= k1+k2n

3500 = k1 + 25 k2............. Eqn(1)

6000= k1 + 50 k2 .............. Eqn(2)

Subtract eqn(1) from eqn(2)

2500= 25k2

K2= 2500/25

K2= 100

To get k1 from eqn(1)

3500 = k1 + 25 k2

Substitute the value of k2

3500 = k1 + 25 (100)

3500= k1 +2500

K1= 3500- 2500

K1= 1000

The equation connecting them;

C= 1000+ 100n

The cost of running the boarding

house for 600 students is

n= 600

C= 1000+ 100(600)

C= 1000+60000

C= N 61,0000

Determine weather the following table represents an exponential function. EASY!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Rate of change for x is constant:

1-0 = 1

2-1 = 1

3-2 = 1

it's all the same so it's constant.

Ratio of y is not constant:

12/8 ≠ 24/12 ≠ 52/24

I'm guessing it's A. Previous answer was my bad

Answer: Choice A) No. All of the x values have a constant difference, but the y values do not have a constant ratio.

Explanation:

The x values increase by 1 each time. So the constant difference is 1. We can see this by subtracting adjacent values such as 4-3 = 1 or 5-4 = 1 and so on.

The y values do not have the same constant ratio. Divide each y term by its previous value

12/8 = 1.5

24/12 = 2 ... we can stop here but I'll keep going to list all the ratios

52/24 = 2.167 approximately

We get different results each time we divide the y values. So this shows we do not have an exponential function.

Please help 20 Points
This is pretty Easy but I'm dumb so please help me​

Answers

Answer:

left A

bottom B

long slant C

left (A) and bottom (B) can mix and match though.

Marion and Trinka are high jumpers. Marion highest jump is 62 inches. Trinka's highest jump is 58 inches. Write an equation that could be used to find the difference between their highest jumps. Please help.

Answers

Answer:

62-58=d

Step-by-step explanation:

Answer:

um 62 - 58 = x?

oo or m - t = 4 but prolly the first one lol

Find the missing side length leave your answers as radicals in the simplest form.

Answers

Answer:

Part 1) [tex]x=\frac{10\sqrt{3}}{3}\ units[/tex]

Part 2) [tex]y=5\ units[/tex]

Step-by-step explanation:

step 1

Find the value of x

In the right triangle of the figure

[tex]sin(30^o)=\frac{(5\sqrt{3}/3)}{x}[/tex] ---> opposite side angle of 30 degrees divided by the hypotenuse

Remember that

[tex]sin(30^o)=\frac{1}{2}[/tex]

substitute

[tex]\frac{1}{2}=\frac{(5\sqrt{3}/3)}{x}[/tex]

solve for x

[tex]x=\frac{5\sqrt{3}}{3}(2)[/tex]

[tex]x=\frac{10\sqrt{3}}{3}\ units[/tex]

step 2

Find the value of y

In the right triangle of the figure

[tex]cos(30^o)=\frac{y}{x}[/tex] ---> adjacent side angle of 30 degrees divided by the hypotenuse

we have

[tex]x=\frac{10\sqrt{3}}{3}\ units[/tex]

[tex]cos(30^o)=\frac{\sqrt{3}}{2}[/tex]

substitute

[tex]\frac{\sqrt{3}}{2}=\frac{y}{\frac{10\sqrt{3}}{3}}[/tex]    

[tex]y=(\frac{\sqrt{3}}{2})(\frac{10\sqrt{3}}{3})[/tex]

[tex]y=5\ units[/tex]

if ab=7 and a+b=6 what is a”squared” + b "squared”

Answers

Answer:

a² + b² = 22

Step-by-step explanation:

Note that

(a + b)² = a² + 2ab + b², thus

a² + b² = (a + b)² - 2ab = 6² - (2 × 7) = 36 - 14 = 22

Can anyone help me solve this

Answers

Sin(A)=0.928
Cos(A)=0.371
Tan(A)=2.5

if three X equal to 216 then find the value of 3 X - 2 ​

Answers

3X-2

=216-2

= 214

214 is the answer...

what must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
x-4
x-2
x+2
x+4

Answers

Answer:

x+2

Step-by-step explanation:

we know that

To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial

Remember that

The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero

In this problem

Looking at the graph

For x=-2, f(x)=0

so

x=-2 is an x-intercept or zero of the polynomial

To find out the factor move the constant to the left side and equate to zero

[tex]x=-2[/tex]

adds 2 both sides

[tex]x+2=-2+2\\x+2=0[/tex]

therefore

The factor is (x+2)

Answer:

the answer is C

X+2

Step-by-step explanation:

A group of cats and dogs are going to the vet. Each cat weighs an average of 16 pounds, and each dog weighs an average of 35 pounds. They are traveling in a van that can carry a maximum of 8 animals, whose total weight cannot exceed 225 pounds. Write a system of inequalities to represent this situation. Let C stand for the number of cats and let D stand for the number of dogs.

Answers

Answer:

Step-by-step explanation:

c = cats, d = dogs

c + d < = 8......thats less then or equal (because there can be no more then 8 animals in the van ...thats all it can carry

16c + 35d < = 225.....thats less then or equal (because each 16 lb cat and each 35 lb dog CANNOT have a total weight over 225...it would have to be less or equal to

tanya baked 100 cupcakes one morning in a bakery. She used 64 ounces of frosting to decorate the cupcakes. If each cupcake had the same amount of frosting, how much frosting did Tanya put on each cupcake?​

Answers

Answer:

0.64 ounces

Step-by-step explanation:

64 ounces in total ÷ 100 equal sized cupcakes

Hope my explanation helped

Answer: The answer is 0.64 ounces

Step-by-step explanation:

5. Green sea turtles can grow to be more than 3 feet long. The
aquarium has one sea turtle that weighs 264 pounds and a younger
turtle that weighs 186 pounds. To the nearest hundred, what is the fa
weight of the 2 sea turtles together?

Answers

Answer:

The weight of the turtles together is [tex]500\ pounds[/tex]

Step-by-step explanation:

we know that

To find out the weight of the 2 sea turtles together, adds the weight of one turtle plus the weight of the other turtle and then round to the nearest hundred

step 1

Adds the weight of the two turtles

[tex]264+186=450\ pounds[/tex]

step 2

Round to the nearest hundred

Remember that

To Round a number

a) Decide which is the last digit to keep  

b) Leave it the same if the next digit is less than [tex]5[/tex] (this is called rounding down)  

c) But increase it by  [tex]1[/tex] if the next digit is  [tex]5[/tex] or more (this is called rounding up)

In this problem we have

[tex]450[/tex]

We want to keep the digit [tex]4[/tex]

The next digit is [tex]5[/tex] which is 5 or more, so increase the "4" by 1 to "5"

therefore

The weight of the turtles together round to the nearest hundred is [tex]500\ pounds[/tex]

4. James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They
deposit $500 into the account each month. How much will be in the account after 20 years?
a. S159,744.59
b. S48,407.45
c. $580,894.18
d. $330,600.15

Answers

$ 159,744.59 will be in the account after 20 years.

Answer: Option A

Step-by-step explanation:

Need to find out the amount present in the account after 20 years. The formula to find out the future value is,

          [tex]\text {Future value}=p \times\left(\frac{\left(1+\frac{r}{n}\right)^{n t}-1}{\frac{r}{n}}\right)[/tex]

Here  

p : amount deposit monthly =$500

r : rate of interest  = [tex]\frac{2.75}{100}[/tex] = 0.0275

n : 12(compound monthly)

t : time =20

By substituting all the given datas in the above equation, we get

    [tex]\text { Future value }=500 \times\left(\frac{\left(1+\frac{0.0275}{12}\right)^{240}-1}{\frac{0.0275}{12}}\right)[/tex]

    [tex]\text {Future value}=500 \times\left(\frac{(1+0.002291)^{240}-1}{0.002291}\right)=500 \times\left(\frac{(1.732)-1}{0.002291}\right)[/tex]

   [tex]\text { Future value }=500 \times\left(\frac{0.732}{0.002291}\right)=500 \times 319.511=\$ 159,744.99[/tex]

5.4 puzzle time what has four legs but can't walk answer key

Answers

Answer:

A table

Step-by-step explanation:

A table has four legs ( supports) but cannot possibly walk because it is not a living thing. For example, see the table in the attachment, it has four legs (supports) but cannot possibly walk.

Answer:

Table

Step-by-step explanation:

WIll gie brainliest 4. (06.02) Which of these is the algebraic expression for "seven more than the product of three and some number?" (3 points) 7 + 3 + x 3 + 10 ÷ x 3x + 7 3 + 7x

Answers

Answer:

3x+7

Step-by-step explanation:

product means to multiply

decimal that is equivalent to 7/8

Answers

Answer: .875

Step-by-step explanation: To write 7/8 as a decimal, it's important to understand that 7/8 means the same thing as 7 divided by 8 so we need to treat this as a division problem.

The first thing you want to ask yourself is how many times does 8 go into 7. Well, 8 doesn't go into 7 so we need to add a decimal point and then a 0 and then ask yourself how many times does 8 go into 70 which is 8 times. So we put an 8 above the 0 and 8 x 8 is 64 so we have 70 - 64 which is 6.

Now, we are not done yet because we still have a remainder. Now ask yourself how many times does 8 go into 6. Since 8 doesn't go into 6, we add another 0 and bring it down and we can now ask ourselves how many times does 8 go into 60 which is 7 times. 7 x 8 is 56 and we subtract it from 60 to get a difference of 4.

We still don't have a remainder of 0 so we continue this process. 8 doesn't go into 4 but it does go into 40 5 times. 5 x 8 is 40 and 40 - 40 is 0. Now we have a remainder of 0 and we know that 7/8 is equivalent to .875.

This would be an example of a terminating decimal because it eventually ends.

Brett has 2 dogs. Meaghan has four times as many cats as Brett adopts two more dogs, how many cats must meaghan adopt to maintain the same ratio of cats to dogs

Answers

Meaghan must adopt 8 cats to maintain the same ratio of cats to dogs.

Step-by-step explanation:

Currently , Brett has 2 dogs while Meaghan has four times as many cats. This means Meaghan has 4*2 cats, hence current ratio for dogs to cats is;

2dogs : 8 cats

2:8

1:4

Brett adopts two more dogs, meaning total number of dogs will be; 2+2 =4

New ratio

dogs :cats

4:8

However to maintain the previous ratio of 1:4, number of cats should be ;

1=4

4=?----cross product

=16

For the ratio to be maintained, dogs to cat number should be

4:16

The number of cats to be adopted should be ; 16-8 =8 more cats

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Keywords : dogs, cats. ratio, adopt, maintain

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Answer:

8.

Step-by-step explanation:

A basketball is launched from a sling shot. Its height, h(x), can be represented by a quadratic function in terms of time x, in seconds.

After 1 second the ball is 121 feet in the air; after 2 seconds, it is 224 feet in the air.

Find the height in feet of the ball after 3 seconds in the air

Answers

Answer:

309 feet

Step-by-step explanation:

given that the height can be represented by a quadratic equation, we can say that the general form of the equation will look something like this:

h(x) = Ax² + Bx + C

we know that at the starting point of the launch that time = 0 (i.e x = 0) and hence h (x) = 0, if we substitute this into our equation, we can find the value for C

h(0) = A(0)² + B(0) + C = 0

C = 0

Hence the equation becomes

h(x) = Ax² + Bx

Given when x = 1, h(1) = 121,

121 = A(1)² + B(1)

A + B = 121 ------> eq 1

Given when x = 2, h(2) = 224,

224 = A(2)² + B(2)

4A + 2B = 224 (divide both sides by 2)

2A + B = 112------> eq 2

Solving the system of equations which comprise eq 1 and eq 2 using your favorite method, we end up with A = -9 and B = 130

our equation becomes:

h(x) = -9x² + 130x

when x = 3

h(3) = -9(3)² + 130(3) = 309 feet

Write a one-variable inequality to represent each problem.

1. Taxi A charges $0.60 per mile and an initial fee of $4. Taxi B charges $0.90 per mile and an initial fee of $3. When will the cost of Taxi B be greater than Taxi A, where m is miles?

2. Renting video games from Store A costs $4.50 per game plus a monthly fee of $8.50. Renting video games from Store B costs $6.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v rented. When will the monthly cost at Store A be less than the monthly cost at Store B?

Answers

Answer:

1. 0.90m + 3 > 0.60m + 4; 2. 4.50v + 8.50 < 6.00v  

Step-by-step explanation:

1. Taxis

  Let A = cost of Taxi A

 and B = cost of Taxi B

Then A = 0.60m + 4

 and B = 0.90m +3

If B > A, then

0.90m + 3 > 0.60m + 4

2. Video games

  Let A = monthly cost at Store A

 and B = monthly cost at Store B

Then A = 4.50v + 8.50

  and B = 6.00v

If A < B, then

4.50v + 8.50 < 6.00v

Serenity has $0.46 worth of pennies and nickels. She has a total of 14 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Serenity has.

Answers

Answer:

The number of pennies are 6 and number of nickels are 8.

Step-by-step explanation:

Given:

Serenity has $0.46 worth of pennies and nickels.

She has a total of 14 pennies and nickels altogether.

Now, to find the number of pennies and the number of nickels she has.

Let the number of pennies be [tex]x[/tex].

And the number of nickels be [tex]y[/tex].

So, the number of pennies and nickels altogether are:

[tex]x+y=14.[/tex]

[tex]x=14-y.[/tex]........( 1 )

As given total worth = $0.46.

And the value of a penny is $0.01 and the value of a nickel is $0.05.

Now, the total worth of pennies and nickels:

[tex]0.01x+0.05y=0.46[/tex]

Putting the value of equation ( 1 ) in the place of [tex]x[/tex].

[tex]0.01(14-y)+0.05y=0.46[/tex]

[tex]0.14-001y+0.05y=0.46[/tex]

[tex]0.14+0.04y=0.46[/tex]

Subtracting both sides by 0.14 we get:

[tex]0.04y=0.32[/tex]

Dividing both sides by 0.04 we get:

[tex]y = 8.[/tex]

So, the number of nickels = 8.

Now, putting the value of [tex]y[/tex] in equation ( 1 ) we get:

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

[tex]x=6.[/tex]

Thus, the number of pennies = 6.

Therefore, the number of pennies are 6 and number of nickels are 8.

Translate 60% of one-half x?

Answers

0.3
This Is How
(60% of 1)/2 equals 0.3
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que canta el demonio? fill in the blanks:_ __ ___ ____ andar de pelo suelto 4cos+4sin^2=5 find cos Two recommended online resources designed to assist in interpreting signs and symptoms are the __________ online and the Family Physicians website. How have the arts and culture most affected New Mexico's economy since World War II?A. Artists use up most of the state's funding for public programs.B. Artists pay higher taxes than other New Mexicans.C. Artists make up the single largest occupation in New Mexico.D. Artists attract tourists from other states. For a galvanic cell that uses the following two half-reactions, Cr2O72-(aq) + 14 H+(aq) + 6 e- 2 Cr3+(aq) + 7 H2O(l) Pb(s) Pb2+(aq) + 2 ehow many moles of Pb(s) are oxidized by three mol es of Cr2O72-?A) 3B) 6C) 9D) 18 Assume that the Deschutes River has straight and parallel banks and that the current is 0.75 m/s. Drifting down the river, you fall out of your boat and immediately grab a piling of the Warm Springs Bridge. You hold on for 40 s and then swim after the boat with a speed relative to the water of 0.95 m/s. The distance of the boat downstream from the bridge when you catch it is______________. Show the ERD with relational notation with crowfoot. Your ERD must show PK, FKs, min and max cardinality, and correct line types.Drexel University Financial Office has made contracts with several local banks to help students to easily obtain small loans up to $10,000 for qualified students for each year. A student can apply for loans up to 3 banks each year. For each application, student must indicate bank name, loan amount, and requested date. Obviously, a bank approves some student loans and also decline some loans depending on the student status (which is beyond the scope of this database). For each approved loan, there is a loan#, interest rate, approved amount, monthly payment amount, and the beginning date of loan payments. For each loan, the office also keeps tracks of history of payments to the loan, including payment date and payment amount. The office will record student ID, name, major, and year. For banks, we just keep bank number and name.You may add other unstated, but common-sense oriented, facts to the ERD, but you must represent the facts stated above. Which of the following is true about Gran Dolina adult hominids? a. They were more modern than Homo erectus, and like later Homo sapiens, had a wide nasal aperture. b. They had a larger cranial capacity than later Homo sapiens. c. They were able to produce spectacular art, similar to later Homo sapiens. d. They were similar to modern humans but with a narrow, Homo erectuslike nasal aperture. A man who weighs 200 pounds would require how many drinks before reaching an inappropriate level of intoxication_________. The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There are four batteries in a package. What lifetime value is such that the total lifetime of all batteries in a package exceeds that value for only 5% of all packages? (Round your answer to two decimal places.) How did military spending influence the end of the Cold War Judges must base their decisions only on the federal and state constitutions, statutes, and earlier court decisions. This concept is called:_________A. Stare basisB. OriginalityC. ObjectivityD. Procedurism find The sum of two numbers is 33.the larger number is 3 more than two times the smaller number.what are the numbers? Which sentence contains the BEST use of dialogue to convey that Harry is afraid of the snake he has found in his back yard? A)"Yikes! It's a snake! Run and get dad!" Harry yelled fearfully. B)"Look! It's a snake. Let's catch it and play with it," Harry said to Tom. C)"A snake! Let's keep looking. There may be a whole family in our back yard." Harry said excitedly. D)"There's a snake over by the swing in the back yard. I wonder if it's poisonous?" Harry pondered thoughtfully simplify the following expression -12[ 3y - 4x] - 10y which expression is equal to (x+5)(-3x^2+15x-1)? a. -3x^3+74x-5b. -3x^3+30x^2-76x-5c. -3x^3-76x-5d. -3x^3+30x^2+74x-5 You are given the following information for Lightning Power Co. Assume the companys tax rate is 22 percent. Debt: 12,000 6.1 percent coupon bonds outstanding, $1,000 par value, 27 years to maturity, selling for 109 percent of par; the bonds make semiannual payments. Common stock: 450,000 shares outstanding, selling for $63 per share; beta is 1.14. Preferred stock: 19,500 shares of 3.9 percent preferred stock outstanding, currently selling for $84 per share. The par value is $100 per share. Market: 5 percent market risk premium and 4.9 percent risk-free rate. What is the company's WACC? The perimeter of a rectangle is 53 inches. The length of the rectangle is 5 less than twice its width. Solve the system using 2 equations. If one were researching asthma triggers, which of the choices is a conclusion that can be supported by this passage?A)You cannot improve the environment for someone who suffers from asthma.B)People with asthma should move to someplace with low humidity and no pollution.C)Asthma's effects are often exaggerated, so care should be taken not to worry over asthmatic symptoms.D)You can improve the environment by not allowing smoking in the house or car, keeping the humidity low to prevent mold growth and bathing pets weekly to reduce allergens. Steam Workshop Downloader