find the value of c that creates a perfect square trinomial

Answer:

a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel

b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute

Step-by-step explanation:

a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.

Mathematically, the volume of a cylinder;

V = π * r^2 * h

where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case

h is the length here(in place of the conventional height) = 46.9 meters

π = 22/7

Plugging these values into the equation, we have;

V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel

Since 1 m^3 = 1000 liters

then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)

b. Now we want to know the rate at which the fuel is used

What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied

That would be = 2,600,136/8.5 = 305,898.35 liters/minute

Answer: 20x + 20

Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.

So we have 5(4x) + 5(4) which simplifies to 20x + 20.

Answer:

x ≈ 1.893 ( to 3 dec. places )

Step-by-step explanation:

Using the rule of logarithms

log [tex]x^{n}[/tex] = n logx

Given

[tex]3^{x}[/tex] = 8 ( take the log of both sides )

log[tex]3^{x}[/tex] = log8, that is

xlog3 = log8 ( divide both sides by log3 )

x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893

Answer:

70

Step-by-step explanation:

69.65

We look at the tenths place to determine if we round up or leave it alone

.6 is greater then or equal to five so we need to round the 9 up

69.65 rounds to 70

Answer:

C

Step-by-step explanation:

Rounding 69.65 to the whole number would be 70

Answer:

D

Step-by-step explanation:

The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:

[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]

[tex]5625+150\cdot \sqrt{9506.25}=[/tex]

[tex]5625+14625=[/tex]

[tex]20,250[/tex]  square yards, or answer choice D.

Hope this helps!

Sounds like a Bayes Theorem problem.

Events:

F: Roger makes his first serve.  We'll write ~F for "not F".

P(F) = .63

P(~F) = 1 - .63 = .37

W: Roger wins the point.  We don't know P(W) but we are given

P(W | F) = .78

P(W | ~F) = .57

We're asked for

P(~F | W)

The basic conditional probability theorem is

P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)

P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)

We write

P(W) =  P(W | F) P(F) +  P(W | ~F) P(~F)

Substituting gives Bayes' Theorem:

P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) +  P(W | ~F) P(~F) )

We know all the parts so we substitute,

P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294

Let's call that 30%

Answer: 30%

Answer:

0.3

Step-by-step explanation:

We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability  of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.

The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.

We have,

In the given figure, we have a circle with points P, K, L, H, and D on it. Secant RL and secant KH intersect inside the circle, forming an angle with a measure of 92 degrees.

Secant DR and secant LR intersect outside the circle at point R, forming an angle DRL with a measure of 38 degrees.

The intercepted arc closest to angle DRL has a measure of 18 degrees.

Since secant RL intersects the circle at some point, we can consider the arc between that point and point K.

The measure of this arc is given as 102 degrees.

Therefore,

The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.

Learn more about arc lengths here:

https://brainly.com/question/16403495

#SPJ2

Answer:

Yes

Step-by-step explanation:

-20.33 is rational. It has a terminating decimal.

Terminating and repeating decimals are rational. Decimals that are never ending and does not have a repeating pattern of decimals are irrational.

-20.33 = [tex]-20\frac{33}{100}[/tex]

Answer:

See explanation below.

Step-by-step explanation:

First, read this explanation of how to understand probability numbers.

A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.

A probability of 0 means the event will not happen. It is an impossibility.

A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.

A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.

A probability of between 0 and 0.5 is more likely not to happen than to happen.

A probability of between 0.5 and 1 is more likely to happen than to not happen.

Now let's look at each one of the probabilities in your problem.

1. 1/4

1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.

1. b. Unlikely

2. 0.0

0.0 will definitely not happen.

2. e. Impossible

3. 0.50

0.50 can just as easily happen or not happen.

3. d. Equally Likely

4. 100%

100% is the same as 1. A probability of 1 means an event that is certain to happen.

4. a. Certain

5. 75/100

75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.

5. c. Likely

Answer:

6x^8 + x^6 + 4x^4 + 0x^2 - 3

Step-by-step explanation:

Rewrite this in descending order by powers of x:

6x^8 + x^6 + 4x^4 + 0x^2 - 3x^0

or

6x^8 + x^6 + 4x^4 + 0x^2 - 3

Answer:

Option B.

Step-by-step explanation:

Given question is incomplete; find the question in the attachment.

Given figure shows the parking spaces are divided by the parallel lines.

Here the two lines having ∠1 and ∠2 are parallel and a transverse is intersecting these lines.

By alternate interior angles theorem, ∠1 and ∠2 will be equal in measure.

Therefore, Option B. will be the answer.

Answer:

6

Step-by-step explanation:

It’s the average distance between each data value and the mean.

Answer:

one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD

Step-by-step explanation:

Answer:

i cant answer that i'm only in 8th

Answer:

(0,-41)

Step-by-step explanation:

You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!

Answer:

2x+2(x+5)) = 24

Step-by-step explanation:

2x+ 2(x+5) = 24

x is represented by the shorter side. Multiply by 2 because of the 2 sides. For the longer side, since it is 5m longer than the shorter side, you have to write (x+5). Multiply by 2 because of the 2 sides. Finally, add them both together since it is the area and set it equal to 24.

Answer:

x=1

Step-by-step explanation:

just use this app called photomath its free on apple and gives you answers.

Answer:  x = 1

Step-by-step explanation:

–x + (–1) = 3x + (–5)

−x−1−3x=3x−5−3x

−4x−1=−5

Add 1 to both sides.

−4x−1+1=−5+1

−4x=−4

Divide both sides by -4.

x = 1

Hope this helps :)

Answer:

She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years

Step-by-step explanation:

i = prt

i = ($61,000)(.14)(2)

i = $17,080

$78,080

Answer:

$78080

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 61000 × 14/100 × 2

I = $17080

She have = 61000 + 17080 = $78080

We can write this as:

3 books / 1 week

This tells us that Sanjit reads 3 books per week.

Let's say he read for 3 weeks, we would multiply to find the number of books he read.

3 * 3 = 9 books

So, Sanjit can read 3 books in 1 week.

Best of Luck!

Answer:

3 books/1 week

Step-by-step explanation:

3 books

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

1 week

Answer:

Triangle A: acute

Triangle B: acute

Triangle C: obtuse

Triangle D: right

Step-by-step explanation:

acute= less than 90 degrees each angle

obtuse=more than 90 degrees for one angle

right=equal exactly 90 degrees for one angle

Answer:

A=Acute

B. Acute

C.Obtuse

D.Right

Step-by-step explanation:

a,and b, and  are acute becuase there angles are less than 90 degrees.

d is obtuse beucase the angleismore than 90 degrees

D is right beucase the angle is 90 degrees and it hasthat square in the corner.

Answer:

Perimeter =63 inches

Area = 243in²

Step-by-step explanation:

Given data

Length of computer = 18in

Width of computer = 13.5in

From the given data the computer has a rectangular shape

Perimeter of the computer = L+L+W+W= 2L+2W

Perimeter = 2(18)+ 2(13.5)

Perimeter = 36+27=63 inches

Area of rectangular shape = L*W

Area = 18 x 13.5= 243in²

Answer:

Perimeter: 63 inches

Area : 243 square inches  

Step-by-step explanation:

Hi, to answer this question w eave to apply the next formulas:

Perimeter of a rectangle: (2 x width) + (2 x length )

Area of a rectangle: width x length

Replacing with the values given:

Perimeter: 2(18) +2(13.5) = 36+27 = 63 inches

Area = 18 x 13.5 = 243 square inches  

Feel free to ask for more if needed or if you did not understand something.

Answer:

1/6

Step-by-step explanation:

If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)

1/3*1/2= 1/6

Answer:

The answer is 1/6

Step-by-step explanation:

This is because the dice has 6 sides so the possibility of getting a even is 1/6

Answer:

69.8%

Step-by-step explanation:

The weekly interest rate is computed using 52 weeks a year as per standard investment practice.

FV=PV*(1+r/52)^n*52

FV is the future value of $2000

PV is the present worth of $1,000

r is the unknown

n is the number of years which is 1

2000=1000*(1+r/52)^1*52

divide both sides by 1000

2000/1000=(1+r/52)^52

divide the index of the both sides by 52

(2000/1000)^(1/52)=1+r/52

1.013418991 =1+r/52

r/52=1.013418991 -1

r/52=0.013418991

r=0.013418991 *52=69.8%

Answer:

4%

Step-by-step explanation:

not really sure if thats right but i hopes it helps

Answer:

8

Step-by-step explanation:

0 = –x^2 + 4x – 2

This is of the form

ax^2 +bx +c

a = -1  b = 4  x = -2

The discriminant is

b^2 -4ac

4^2 - 4(-1)(-2)

16 - 8

8

find interest and subtract it from 30,000

Answer:

Step-by-step explanation:

factorize the given equation like this

m^2-7m+1

m^2-2m+1-5m

(m-1)^2-([tex]\sqrt{5m}[/tex])^2

(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])

Answer: 8

Step-by-step explanation:

Ella tiene que bajar los 6 pisos, mas 2.

6+2=8

Answer:

8N-2=33+N

Step-by-step explanation: