Find the volume of the prism.
8 cm
12 cm
6 cm

Answer:

[tex]f(x)=(x-1)^2-2[/tex]

Step-by-step explanation:

Equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]

Plug in both the given point and vertex to find the value of [tex]a[/tex]:

[tex]y=a(x-h)^2+k[/tex]

[tex]y=a(x-1)^2-2[/tex]

[tex]14=a(5-1)^2-2[/tex]

[tex]14=a(4)^2-2[/tex]

[tex]14=16a-2[/tex]

[tex]16=16a[/tex]

[tex]1=a[/tex]

[tex]a=1[/tex]

Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]

See attached graph below for a visual of the function.

Answer:

25, 32

Step-by-step explanation:

4 - 11

7

11- 18

7

it is increasing by 7 so what is 25 plus 7?

32

Answer:

7.47 seconds

Step-by-step explanation:

From the quadratic equation  the x coordinate of the vertex is

x = -b/(2a)

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

y = -16x² + 239x + 127

x = -239/ ( 2 * (-16) )

x = -239 / (-32)

x = 7.46875

Rounded

x = 7.47

Answer:

(x-4)^2 + (y-4)^2 = 49

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-4)^2 + (y-4)^2 = 7^2

(x-4)^2 + (y-4)^2 = 49

Answer:

x = 53

Step-by-step explanation:

The sum of the angles of a triangle are 180

x + ( x+2) + 72 = 180

Combine like terms

2x+74  =180

2x+74-74 = 180-74

2x =106

Divide by 2

2x/2 = 106/2

x =53

Answer:

8.5=161.50;h= 19 hours

Step-by-step explanation:

So its pretty easy all you have to do is multiply 8.5 x 19

============================================================

Explanation:

Ignore the portions that are 12 and 13 units long.

The base of triangle ABC is 8 units long. The height is 5 units. The base and height are always perpendicular.

The area is base*height/2 = 8*5/2 = 40/2 = 20 square units

---------

Side note:

You could find the area of triangle ABD, where D is at the 90 degree angle location, and then subtract off the area of triangle ACD. This is a slightly longer approach compared to the first section above.

Answer:

x = 6 , y = 7

Step-by-step explanation:

solving  by substitution method

x + y = 13

x = 13 - y                          equation (i)

2x - y = 5

substitute the value of x

2(13 - y) - y = 5

26 - 2y - y = 5

26 - 3y = 5

26 - 5 = 3y

21/3 = y

7 = y

substitute the value of y in equation (i)

x = 13 - y

x = 13 - 7

x = 6

Answer: D. an increase in the number of categories as the data set becomes larger.

Step-by-step explanation:

When too many variables are categorized in an analysis, there are different potential issues may occur, some of these issues include:

• model performance suffers.

• rarely occurring categories may not be captured accurately.

• difficulty in differentiating among observations.

It should be noted that an increase in the number of categories as the data set becomes larger isn't one of the issues. Therefore, the correct option is D.

Answer:

35

Step-by-step explanation:

AEC and AEB form a straight angle(180°)

180-40=140

AEV and AED are equal

140 divided by 4 = 35

step by step explaination

1/5 * 3/8

1*3 5*8

3/40

Answer:

[tex]\frac{3}{40}[/tex]

Step-by-step explanation:

1/5 × 3/8

Answer:

hsjsm

Step-by-step explanation:

mmssdn jnhbxjs ẹnienbsd  sywb

Answer:

$678.83

Step-by-step explanation:

Given :

Principal, P = $600

Rate = 3.09% = 0.0309

Period, t = 4 years

Compounding times per period, n = 12 (monthly)

The compound interest formula :

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

A = 600(1 + 0.0309/12)^(12*4)

A = 600(1 + 0.002575)^48

A = 600(1.002575)^48

A = 600 * 1.1313834

A = 678.83004

Worth in 4 years = $678.83

Answer:

you can prove that they are congruent if their angles are the same.

Answer:

the maximum area enclosed = 1125000sq. ft.

Step-by-step explanation:

Let each side perpendicular to the river be "x".

Then the side parallel to the river is "3000-2x".

Now, area of the rectangle

A(x) = (3000-2x)x

A(x) = -2x^2+3000x

Which is a quadratic equation with a = -2 and b = 3000

Maximum area occurs where x = -b/2a

x = -3000/(-2×2) = 750 ft.

Therefore, width of rectangle x = 750 ft

Now, length = 3000-2(750) = 1500 ft.

Therefore, the maximum area enclosed = 1500×750 =  1125000 sq. ft.

Answer:

1008 letters were delivered on Monday

Step-by-step explanation:

Total mail received = 1344

1/6 were magazines

1/12 were packages

the rest were letters

We have to find the exact number of magazines and packages received

Magazines = 1/6 of the total mail

Magazines = 1/6 × 1344

= 224 magazines

Packages = 1/12 of the total mail

Packages = 1/12 × 1344

= 112 packages

So now that we know the exact number of packages and magazines

We add those two numbers and subtract the result from the total mail

And the remainder is the letters delivered

Magazines = 224

Packages = 112

Magazines + Packages

224+112 = 336

Therefore, the letters received = 1344 - 336

= 1008

Which means that 1008 letters were delivered

Step-by-step explanation:

DRAW VENN disgarm

say there are 100

33 - 9 = 24 study only Bio

16 - 9 = 7 study only chemistry

that is a total of 24 + 9 + 7= 40 that study at least one of them

so

100 - 40 = 60% play hockey instead

Answer:

b

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

leslie wants to carry no more than 20 pounds. this means she wants to carry less than 20 pounds

w < 20

Answer:

A

Step-by-step explanation:

m = Y2 - Y1/ X2 - X1

m= -7 - 5/ 4 - 10

m = -12/ -6

m = 2

y - y1 = m ( x - x1)

y - 5 = 2 (x - 10)

Answer:

x = 24 i think

Step-by-step explanation:

Answer: X=0 , 1.03355778

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Let's solve the equation:

9x + 27 =  9 ( x + 2 ) + 9 ← Distribute 9 to the x and 2

9x + 27 = 9x + 18 + 9 ← Combine like terms

9x + 27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x

0 = 0  

{Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.}

hope this helps..........

Answer:

x=1

Step-by-step explanation:

9x+27=9(x+2)+9

9x+27=9x+18+9

9x+27=9x+27

9x=9x

x=1

Answer:

Problem-solving is one of those skills that is in high demand. Many employers rate it as one of the most important traits they look for in prospective employees. It is also usually listed as an important learning outcome in many of the classes you in take in college including math classes, psychology classes, and even this class! But, it is often not taught at all or very well.

One reason why this is the case is because of a confusion relating to what kinds of problems are being solved. It is often assumed that by practicing any kind of problems for which you don't have an answer you will learn the skills appropriate to solve any problem. But, this is simply not true. Since there are different types of problems learning how to solve one type won't necessarily help you build the skills you need to solve the other type. So, let's begin by distinguishing two types of problems: puzzles and mysteries.

In his book Curious: The Desire to Know and Why Your Future Depends on It, Ian Leslie defines these two types of problems very well: puzzles and mysteries.

"Puzzles have definite answers. Puzzles are orderly; they have a beginning and an end. Once the missing information is found, it's not a puzzle anymore." Most of the problems you encounter in your college math courses are in reality puzzles. They have definite answers and are orderly. Also, the information you need to solve them is right there in the question! And, if you need extra help you can just turn back to the chapter in the text which discusses how to solve these particular type of problems.

I know what you're thinking. Sure, these are real world problems and I've even faced some of them but how can I build the skills I need to solve these problems before taking these problems on? It does no good to practice on these very difficult problems.  

2. Learn as much as you can about as many topics as you can. Solving mysteries often involves drawing on knowledge from a variety of sources. It is quite likely that many of the things you're now learning (even those you think are irrelevant) may turn out to be helpful at some point in solving a problem. So, take advantage of the opportunity to really learn about psychology, biology, history, mathematics, and all the other subjects you're learning now. That time will pay off.

3. Make connections. A lot of problems are solved by finding interesting, creative connections between seemingly unrelated topics. A good example here is Steve Jobs' application of his knowledge of calligraphy to the Apple operating system. Another is the psychiatrist Jeffrey Schwartz's development of a treatment for OCD (obsessive compulsive disorder) by combining Buddhism and Austrian economics.

4. Read books about mysteries, problem solving, and even mystery novels. Sherlock Holmes is a great place to start. Reading the Conan Doyle's stories of the great detective reveal some basic principles of problem solving which can apply to everyday life. Daniel Smith's book How to Think Like Sherlock is another good resource.

5. Solve simpler mysteries first. Rather than taking on the more complex type of real world problems mentioned above, begin with simpler, but still real, problems. Never mind solving your work-life balance problem right off. Start with solving this problem: How can I keep from losing my phone every time I get ready to go somewhere?

6. Adopt a problem-solving mindset. Be observant of your surroundings and attuned to what you can do to improve how you live, work, or do simple things. Thomas Edison exemplifies this mindset very well. He often presented his lab assistants with the following challenge. He would hand them some ordinary item (like an iron or a fountain pen) and say "There's a better way. Find it." Adopt that mentality in your life. Whatever you're doing ask whether there is a better way: easier, more efficient, more effective.

7. Learn about design thinking. Lastly, you may want to learn about design thinking. I've made a few resources available that provide a brief introduction to the basic ideas of design. The important feature is to solve problems with the end user in mind. When you're trying to solve a problem be sure you understand for whom you are solving it and what their needs are. That will allow you to focus on the best solutions given what they're facing.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Problem solving strategies are required in solving the problems that we face everyday. To solve a particular problem, we've to understand the problem, devise a plan that will be used in carrying out the problem and then implement the solution.

In conclusion, problem solving strategies are required by everyone to solve the challenges that we face.

Read related link on:

https://brainly.com/question/24511305

Answer:

11 1/5

Step-by-step explanation:

I put into a calculator lol

Answer:

Hence the calculated

Step-by-step explanation:

Now,

[tex]121+121v=144v^{2} + 144 v^{3} =K\\121(1+v)=144v^{2} (1+v)\\v^{2} =\frac{121}{144} \\\\v=\frac{11}{12}[/tex]

Then K is calculated as,

[tex]K=121(1+v)\\K=121(1+\frac{11}{12} )\\K=\frac{121(23)}{12} \\\\K= 231.916[/tex]

Here we get,

[tex]i=\left | \left ( \frac{v-1}{v} \right ) \right |\\i=\left | \frac{\frac{11}{12}-1}{\frac{11}{12}} \right |\\i=\frac{1}{11}[/tex]

Answer:

24°

Step-by-step explanation:

360/15 = 24

Using the percentage concept, the amount that is closest to the percentage of students in the population who are licensed drivers is given by:

B. 24%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Higher sample sizes lead to more accurate estimates, hence the percentage is given by:

[tex]P = \frac{24}{100} \times 100\% = 24\%[/tex]

Which means that option B is correct.

More can be learned about percentages at https://brainly.com/question/10491646

#SPJ1

Answer:

She bought

22 of the 52 cent stamps and

26 of the 23 cent stamps.

Step-by-step explanation:

Given :

Total stamp increase = 48

Let number of 52 cent stamp = x

Number of 23 cent stamp = 48 - x

The cost equation :

0.52*x + 0.23*(48-x) = 17.42

0.52x + 11.04 - 0.23x = 17.42

0.52x - 0.23x = 17.42 - 11.04

0.29x = 6.38

x = 6.38 / 0.29

x = 22

Hence,

She bought 22 ; 52-cent stamps

And (48 - 22) = 26, 23-cent stamps

Answer:

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

Step-by-step explanation:

m = slope

m = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]            

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

m = [tex]\frac{-6}{-9}[/tex]

m = [tex]\frac{6}{9}[/tex]

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