put the equation below into vertex form.

y=(x+9)(x+25)

Answer:   The formula for the volume of a prism is obtained by taking the product of the base area and height of the prism. The volume of a prism is given as V = B × H where, "V" is the volume of the prism, "B" is the base area of the prism, and "H" is the height of the prism.

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$2300\\ P=\textit{initial amount}\dotfill &\$15100\\ r=rate\to 12.25\%\to \frac{12.25}{100}\dotfill &0.1225\\ t=years \end{cases} \\\\\\ 2300=15100(1 - 0.1225)^{t}\implies \cfrac{2300}{15100}=(1 - 0.1225)^{t}\implies \cfrac{23}{151}=0.8775^t[/tex]

[tex]\log\left( \cfrac{23}{151} \right)=\log(0.8775^t)\implies \log\left( \cfrac{23}{151} \right)=t\log(0.8775) \\\\\\ \cfrac{~~\log\left( \frac{23}{151} \right)~~}{\log(0.8775)}=t\implies 14.4\approx t\qquad \textit{about 14 years and 146 days}[/tex]

The probability that no orange discs are selected is 0.1295 and the probability that exactly 2 discs with numbers ending in a 6 are selected is 0.0721.

The probability that no orange discs are selected will be:

= 200C5 / 300C5

= 0.1295

The probability that exactly 2 discs with numbers ending in a 6 are selected will be:

= (30C2 × 270C3) / (300C5)

= 0.0721

The probability that exactly 2 orange discs with numbers ending in a 6 are selected will be:

= (100C2 × 290C3) / (300C5)

= 0.0092

The mean of the number of pink discs selected will be:

= np

= 5 × 1/3

= 5/3

The variance will be:

= 5 × 1/3 × 2/3

= 10/9 = 1.11

Learn more about probability on:

https://brainly.com/question/24756209

Answer:

x=7.51

Step-by-step explanation:

Tangent would be the easiest option here in this problem so to do this set up the proportion

[tex] \frac{ \tan(30) }{1} = \frac{x}{13}[/tex]

Cross multiply to get x=tan30(13)

Multiply tan30 by 13 to get the answer to x which is

x=7.51 rounded to the nearest hundredth

Answer: How do you not understand this?

I understand it perfectly.

Step-by-step explanation:

The  probability that when Martin takes three pens, exactly two are the same color is 26.53%.

Given:

Blue pens=4

Green pens=3

Hence:

Probability=4³+3³÷(4+3)³

Probability=64+27/343

Probability=91/343

Probability=0.2653×100

Probability=25.53%

Therefore the  probability that when Martin takes three pens, exactly two are the same color is 26.53%.

Learn more about probability here:https://brainly.com/question/24756209

#SPJ6

The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)

A function is a rule that relates two variables.

Let us check the x-intercept, y-intercept, and maximum value for each function.

1)y =-3Sin(x)

for x-intercept put y=0

0 = -3Sin(x)

Sin(x) =0

x=0

for y-intercept put x=0

y=-3Sin0

y=0

The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3

Similarly, for y = -3cos(x)

x-intercept =π/2

y-intercept = 3

Maximum value of function = lower limit  of the range of  3cos(x) i.e. 3

Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)

To get more about functions visit:

https://brainly.com/question/17043948

Answer:

B.    y = –3cos(x)

Step-by-step explanation:

Im extremely sure, have a great day

Answer:

144 [tex]cm^2[/tex]

Step-by-step explanation:

Answer:the answer were to your question is 4

Step-by-step explanation:

Put me on brainlyiest pls

Answer:

525 degrees

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5 158/559

= 5 + 158/559

= 5 + 0.28264758

= 5.28264758

= 5 (rounded to nearest whole number)

Answer:

5

Explanation:

[tex]\rightarrow \sf 5\dfrac{158}{559}[/tex]

[tex]\rightarrow \sf 5.282647585[/tex]

The whole number is the quotient in any fraction.

Answer:

5x+8x-10g+hd

Step-by-step explanation:

please mark me as brainlest

Hey there!

3x + 2x + 6v - 9g + hd + 2v - 1g

= 3x + 2x + 6v - 9g + 1hd + 2v - 1g

COMBINE the LIKE TERMS

= (3x + 2x) + (6v + 2v) - (9g - 1g) + (1hd)

= 3x + 2x + 6v + 2v - 9g - 1g + 1hd

= 5x + 7v - 10g + 1hd

= 5x + 7v - 10g + hd

= hd - 10g + 8v + 5x

Therefore, your answer is:

hd - 10g + 8v + 5x

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

[(30 x 8,25) + (20 x n)] / 50 = 8,4

247,5 + 20 x n = 420

n = (420 - 247,5) : 20

n = 8,625

Answer:

[tex]\huge\boxed{\sf x = 10}[/tex]

Step-by-step explanation:

Since the two angles are complementary angles, the measures of these angles add up to 90 degrees.

5x + 25 + x + 5 = 90

5x + x + 25 + 5 = 90

6x + 30 = 90

Subtract 30 to both sides

6x = 90 - 30

6x = 60

Divide 6 to both sides

x = 60 / 6

x = 10

[tex]\rule[225]{225}{2}[/tex]

The area of a rectangular shelf with length of 1 2 / 3 ft and width of 5 / 8 ft is  [tex]1\frac{1}{24}[/tex] ft

A rectangle is a quadrilateral. It has 2 opposite sides equal to each other.

Therefore,

area of rectangle = lw

where

Therefore,

length = 1  2 / 3  = 5 / 3 ft

width = 5 / 8 ft

area = 5 / 3 × 5 / 8

area = 25 / 24 ft

area = [tex]1\frac{1}{24}[/tex] ft

learn more on rectangle here: https://brainly.com/question/1106604

50% of the sixth-grade students at Madison Middle School raised more than $40

A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.

From the diagram, the median is $40. Hence 50% of the student raised more than $40

Find out more on box plot at: https://brainly.com/question/14277132

Let's solve this inequality:-

3x<18

Divide both sides by 3:-

x<6

So numbers less than 6 will make this inequality [tex]\sf{true}[/tex].

You haven't listed any numbers, so I don't know what options you have,

Please list the numbers in the comments & I will edit my answer :)

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

The possible answers are all numbers above 6.

Step-by-step explanation:

3x>18

3x/3> 18/3

x> 6

Answer:

it is D 63.7 × 10`2 I am not sure if it right tho

Hey there!

• QUESTION READS….

“The radius of the Earth is approximately 6,370 kilometers. What is the distance in scientific notation?”

• THE QUESTION ASKED IN EASIER WAYS

“The SPACE of Earth is about 6,370 km (kilometers). What is the length of the the Earth in scientific notation?”

• GETTING TO KNOW SCIENTIFIC NOTATION…..

It’s the writing of a number in a certain term of a product of an thing anywhere between the numbers 1 - 10 and the other thing is at the power of the number 10

• ANSWERING THE QUESTION BY DOING PROCESS OF ELIMINATION….

Option A.
637 km × 10^2 kn

= 637 km × 10 km × 10 km

= 637 km × 100 km

= 63,700 km

Option A. is incorrect because it is too big.

Option B.
6.37 km × 10^3 km
= 6.37 km × 10 km × 10 km × 10 km

= 6.37 km × 100 km × 10 km

= 6.37 km × 1,000 km

= 6,370 km

Option B. could possibly be your answer

Option C.
637 km × 10^1 km

= 637 km × 10 km

= 6,370 km

Option C. could also possibly be your answer.

Option D.
63.7 km × 10^2 km

= 63.7 km × 10 km × 10 km

= 63.7 km × 100 km

= 6,370 km

Option D. could also possibly be your answer along with B - C.

This is a tricky answer because we have MORE THAN one result.

So, we will just ELIMINATE A, C, D to make it easier.

Thus, we will say your result is:

Option B. 6.37 × 10^3 kilometers

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Shyam would be 43 years old

Step-by-step explanation:

Ram is 49 years old, since she is 3 years younger than Shyam and Krishna is 48 years old than Shyam

Answer:

To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%. The second case involves a fraction. If the given number is in fractional form, first convert it to a decimal value and multiply by 100.

Step-by-step explanation:

. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%

hope this will help

Answer:

28 - 15 + 5 = 18. Add and subtract will get you ,your answer. Bryce has $18

Step-by-step explanation:

Simple math hope this helped

Answer:

5%

Step-by-step explanation:

(240 - 252/240)×100

Answer:

55

Step-by-step explanation:

This is the Fibonacci sequence! Filling out the rest of the numbers, 55 is the 11th number in this sequence.

The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.

An hemisphere is half of a sphere. Therefore,

volume = 2 / 3 πr³

where,

Therefore,

r = 7 feet

volume = 2 / 3 × 3.14 × 7³

volume = 2 / 3 × 3.14 × 343

volume = 2154.04 / 3

volume = 718.013333333

volume = 718.013

Therefore,

density = mass / volume

93 =  mass / 718.013

mass = 718.013 × 93

mass = 66775.24

mass ≈ 66775 pounds

learn more on hemisphere here: https://brainly.com/question/14527816

Answer:

68 degrees

Step-by-step explanation:

The straight horizontal line is a straight angle with 180 degrees it is split in a way that you know under the right angle, is another right ange making up part of the 180° line, add 22 and then subtract what you get from 180 to get 68.

A simpler way, add the angles in the X and 22 degree things and there is a right angle, 90 degrees, subtract 22 from 90 and get 68

Two different ways, either will work

Hope this helps!

Angles are complementary

x is 68°

Answer:

The ratio of red tiles to blue tiles is 1 to 4.

Step-by-step explanation:

Since 1/5 of the tiles are red, 4/5 of the tiles are blue, giving the ratio of red tiles to blue tiles as 1 to 4.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {4}^{n} - 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{2}) }^{n} - 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{n}) }^{2} - 1} [/tex]

Now we will use this identity in denominator

[ a² - b² = (a + b)(a - b) ]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ \cancel{(2 {}^{n} - 1)}}{ {( {2}^{n} }^{} + 1) \cancel{( {2}^{n} - 1)}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ 1}{ {( {2}^{n} }^{} + 1) } [/tex]

Answer:

[tex]\sf \dfrac{1}{2^n+1}[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf \dfrac{2^n-1}{4^n-1}[/tex]

Rewrite [tex]\sf 4^n[/tex]:   [tex]\sf 4^n=(2^2)^n=2^{2n}=(2^n)^2[/tex]

Rewrite 1:  1 = 1²

[tex]\sf \implies \dfrac{2^n-1}{(2^n)^2-1^2}[/tex]

Apply difference of two square formula to the denominator

[tex]\sf a^2-b^2=(a+b)(a-b)[/tex]

[tex]\sf \implies \dfrac{2^n-1}{(2^n+1)(2^n-1)}[/tex]

Cancel out the common factor [tex]\sf 2^n-1[/tex] :

[tex]\sf \implies \dfrac{1}{2^n+1}[/tex]

Answer:

first convert mixed fraction to improper fraction then solve by taking LCM

hope the above process helps

Answer:

5  7/12

Step-by-step explanation:

1/6 can be converted to 2/12
1 3/4 can be converted to 1 9/12
Add them together, you'll get 1  11/12
7  1/2 is equal to 7  6/12
7  6/12 - 1  11/12 = 5  7/12

              5 /12 is your answer

Answer:

A. −2x+y=−2

Step-by-step explanation: