Which graph represents a phase shift of pi/2 units right for the graph of
y = COS X?
A. y = csc x
B. y = sin x
C. y = cos(x+pi/2)
D. y = sec x​

Answer:

[tex]756\pi[/tex]

Solution,

Volume of cone=270 pi cm^3

[tex] \frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm[/tex]

Volume of semisphere:

[tex] \frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi[/tex]

Total:

[tex]270\pi + 486\pi \\ = 756\pi[/tex]

hope this helps...

Good luck on your assignment..

Answer:

-7

Explanation:

7/8 x - 16 x -7 x -1/14 = -7

Answer: -7

7/8 x -16 = -14

-14 x -7 = 98

98 x 1/14 = -7

ANSWER IS -7

Answer:

order:

-3 bills from first envelope (-30 dollars)

-2 bills from second envelope (-40 dollars)

-1 bill from third envelope (-50 dollars)

total least possible amount that can be taken out: 120

Step-by-step explanation:

Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.

Answer:

$120

Step-by-step explanation:

So this question isn't hard either

We can cross out excess information and just find the main points.

a. 3 Envolopes containing 10 bills, 20 bills, and 50 bills

b. 1-3 bills are taken out of each envolope

c. It wants you to find the least possible amt. that could have been token out.

So since we want the least, we must take the smallest out of the largest

In order, 1 from 50 (largest)

2 from 20 (middle)

and 3 from 10 (smallest)

this leaves us the equation (1x50) + (2x20) + (3x10) => 50+40+30 => 120

Thus, we have our answer 120

Hope this helps!

Answer:

B, x≥2

Step-by-step explanation:

54 - 10x ≤ 20 + 7x - subtract 20

34 - 10x ≤ 7x - add 10x to 7x

34 ≤ 17x - divide 34 by 7

2 ≤ x - flip the equation - x ≥ 2

Hope this is helpful!

Answer:

Choice B

Step-by-step explanation:

TRUST ME. IF YOU WANT EXPLANATION:

54 - 10x < = 20 +  7x

54 - 20 < = 7x + 10x

34 < = 17x

34/17 < = x

2 < = x.....or x > = 2....its B trust me

Answer:

Answer Choices??

Step-by-step explanation:

Answer:

28.4 cups

Step-by-step explanation:

If 5 people have a combined weight of 880 pounds, each person sould have a weight of 880/5 = 176 pounds.

Now, we can set up a proportion:

[tex]\frac{176}{50} =\frac{100}{x}[/tex]

Cross Multiply:

176x = 5000

x = 5000/176 = 28.4 cups

The required number of cups that each person has 5.6 cups per 100 pounds.

There are 50 cups of rice and group of 5 combined weight of 880 pounds. To determine how many cups each person should get per 100 pounds.

Fraction is defined as the number of composition constitute the whole.

average wait of people = 880/5 = 176 pounds
Each person can have cup beside the 100 pound weight = 50/5 = 10(max)

Number of cups per 100 pounds = 50/880*100

                                                       = 5.6 cups per 100 pound

Thus, the required number of cups that each person has 5.6 cups per 100 pounds.

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Answer:

3*m+1 and 3+2*m

Step-by-step explanation:

$600.99

Step-by-step explanation:

Because the cab company is located in New York. In New York, cab drivers basically rob you.

Answer:

79

Step-by-step explanation:

If we square m + 1/m we get (m + 1/m)² = m² + 2 * (m * 1/m) + 1/m² = m² + 2 + 1/m². Since m + 1/m = 9, (m + 1/m)² = 81 so that means that m² + 1/m² = 81 - 2 = 79.

Answer:

79 is correct  

Answer:

2^1

According to the product of powers with the same base, a^m * a^n = a^m+n.

Basically, when you're multiplying exponents with the same base, you can add the powers together to get the answer.

2^6 * 2^-5

The bases are the same, so we can apply this rule.

6 + -5 = 1

This gives you the answer of 2^1.

Answer:

B. 7/4

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Plug in the coordinates:

m = (15 - 8)/(9 - 5)

m = 7/4

Answer: D.

Step-by-step explanation:

The common difference between each y-value is 18.

80 - 62 = 18

62 - 44 = 18

44 - 26 = 18

The function stays the same for every interval of the x-values

(1, 26)

(2, 44)

(3, 62)

Since the increase in the y-value is the same with equal intervals of x-values, the function represents the linear function. Thus, option D is correct.

Function is the expression that defines the relationship between the independent and dependent variables.

Determine the difference between the consecutive y-values.

44-26=18

62-44=18

80-62=18

98-80=18

It can be observed that the difference in the consecutive y-values is same, which is, 18.

Since the increase in the y-value is same with equal interval of x-values, the function represents the linear function.

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The techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.

The geometric construction is the method by which the figures of geometry are drawn using the different geometric instruments.

The techniques used in geometric constructions with paper folding are listed below.

Thus, the techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.

Learn more about the geometric constructions here;

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Answer:

Drawing line segments
Marking Points
Folding the paper and aligning marks seen through the paper

Answer:

line PQ and line SR are parallel and line PS and line QR are parallel. And we can amuse QS as the transversal.

answers to pairs of angles:

7. opposite interior angles

8. opposite interior angles

9. adjacent interior angles

10. corresponding angles

11.  opposite interior angles

Hope it helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)180 degrees

b)parallel

c)90 degrees

d)supplementary and adiacent

e)right

f)supplementary

Answer:

a) 180°

b) parallel

c) 90°

d) adjacent  

e) right  angled

f) supplementary

Answer:

A=-3

B=-1

ans:-1-(-3)=2

Step-11by-step explanation:

Ax+By=3,m1= -A/B

x+3y= -5,m2= -1/3

A/B=1/3(parallel)

3A=B

(-7,2)

-7A+2B=3

-7A+6A=3

A= -3

B=-3/3= -1

-1-(-3)=2

Answer:

9:13.

Step-by-step explanation:

$1.30 = 130 cents

So the ratio is 90:130

= 9:13.

Answer:

G

Step-by-step explanation:

168/14=12*13.72=164.64

._.

Answer:

2(8x + 18) and 4(4x + 9)

Step-by-step explanation:

16 and 36 are both evenly divisible by 2 and 4.  Thus, possible equivalents of 16x + 36 are 2(8x + 18) and 4(4x + 9).

Expressions equivalent to 16x + 36 are 4(4x+9) and 2(8x + 18).

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

Given expression

16x + 36

= 4.4x + 4.9

16x + 36 = 4(4x+9)

= 2.2(4x + 9)

16x + 36 = 2(8x + 18)

Hence, 4(4x+9) and 2(8x + 18) are equivalent to 16x + 36.

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Answer:

A

Step-by-step explanation:

f(x)=4^x-2

g(x)=4^x+7

it is horizontal shift 9 unit to the left

hope it works

Answer:

A: A horizontal shift of 9 units left

Hope this helps! :D

Step-by-step explanation:

Answer:

The function was expanded vertically by 5, and then translated vertically upwards 6 units.

Which is the third option in the list of possible answers.

Step-by-step explanation:

Recall that the types of transformations associated with:

A) a function multiplied by a positive factor larger than one consists on the function expanded vertically by that factor.;

B) a positive number added to the function consists on the vertical translation of the function upwards as many units as the number added.

Therefore, the function [tex]f(x) = log(x)[/tex] being transformed into [tex]g(x)=5\,log(x)+6[/tex]

consists of the initial function expanded vertically by 5, and then translated vertically upwards 6 units.

Answer:

It's asking you to write the function in a factored form  for example g(x) or f(x) that's why its asking for you to use the x as the variable.

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

There are 10 letters and only 1 of them is a G so the chance of drawing a G is 1/10 = 0.1.

Answer:

0.1 is the right answer

Answer:

V( 3, -8 )

Step-by-step explanation:

Parable equation is of the form:

( x - h )² = 4p*(y - k)

In that expression, vertex has coordinates V ( h, k )

Then all we have to do is transform the given equation

y = x² - 6x + 1       or     x² - 6x  = y - 1          (1)

We can get a  perfect square trinomial in the first member of the equation according to:

x²  -  6x   =   ( x - 3 )²  - 9

(x - 3 )²   = x² - 6x  + 9

By substitution  en equation (1)

( x - 3 )² - 9 = y - 1

( x - 3 )² = y -1 + 9

( x - 3 )² = y + 8

( x - 3 )² = (y + 8 )

Then vertex coordinates are

V( 3 , -8)

Answer:

99.84

Step-by-step explanation:

Take the original price and subtract the discount

125 - .25 * 125

125 -31.25

93.75

Now add in the tax

93.75+.065*93.75

93.75+6.09375

99.84375

Rounding to the nearest cent

99.84

Answer:

*regular-sized hot dog contest has greater variability

*The difference in the medians of the two contests is approximately 2 times the interquartile range.

Step-by-step explanation:

Variability of the data from both contests can be compared using the range or interquartile range of each set of data from both contests.

The greater the value of the range or interquartile range, the greater the variability.

Range for regular-sized hot dog contest = 32 - 17 = 15

Range for Jumbo-sized hot dog contest = 22 - 8 = 14

Interquartile range for regular-sized hot dog contest = 27 - 22 = 5

Interquartile range for jumbo-sized hot dog contest = 16 - 11 = 5

Median for regular-sized hot dog contest = 23

Median for jumbo-sized hot dog contest = 14

The difference in the median of both contests = 23 - 14 = 9, which is approximately 2 times the interquartile range (5)

Thus, results for the regular-sized hot dog contest has greater variability, be side its range is 5, which is greater than that for jumbo-sized contest.

The difference in the medians of the two contests is approximately 2 times the interquartile range.

The interquartile range of both contests is 5. The median difference between both contests is 9, it is approximately 2 times 5. (i.e. 9/5 = 1.8 ≈ 2).

Answer:

They are equivalent.

Step-by-step explanation:

You can tell because 4:1 can go into 12:3.

If you multiply 4 by 3 you will get 12.

If you multiply 1 by 3 you would get 3.

12:3=4:1

Hope this helps!

Step-by-step explanation: Two ratios are equal if the fractions that represent the are equal.

So we first write the ratios 4 : 1 and 12 : 3 as the fractions 4/1 and 12/3.

Now, to determine whether the two fractions are equal,

we write each fraction in lowest terms.

Notice that 4/1 or 4 is already in lowest terms.

So let's move on.

12/3 can be simplified to 4.

So we have 4 = 4 which is true.

So that's how we know the ratios 4 : 1 and 12 : 3 are equal.

Answer:

81^5/4

Rewrite 81 in index form that is 3⁴

So we get

3⁴ × ^5/4

= 3^5

= 243

Hope this helps

Answer:

243 is correct

Step-by-step explanation:

Answer:

C. 32,768

Step-by-step explanation:

Step 1

Convert the number of hours to minutes

2.5 hours to minutes = 2 hrs 30 minutes to minutes is calculated as

1 hour = 60 minutes

2 hours 30 minutes =

Cross multiply

(60 minutes × 2 hours) + 30 minutes = 150 minutes.

Step 2

We are told in the question that the bacteria population doubles every 10 minute interval

Find the number of intervals in 150 minutes

= 150 minutes / 10 minutes interval

= 15 intervals

Step 3

The number of bacteria present after 2.5 hours is calculated using the formula of

= Amount of bacterium × 2ⁿ

Where n = number of intervals = 15

Amount of bacterium = single bacterium = 1

Number of bacteria = 1 × 2¹⁵

= 32,768

Therefore, when you start with a single bacterium in a petri dish, the number of bacteria that will there be in 2.5 hours is 32,768

Answer:

Step-by-step explanation:

Write and solve an equation of ratios:

 9        4

----- =  -----

 x         10

Then 4x = 90, and x = 22.5

It will take exactly 22.5 cans of paint to cover 10 rooms.  The painter must buy 23 cans.

Answer:

an = an-1 +4  

a1 = 14

Step-by-step explanation:

The recursive formula is

an = an-1 +d  where d is the common difference

a1 = initial term

a1 = 14

d = the difference between the terms

Take the second term and subtract the first term

18-4 = 4

That is the common difference

an = an-1 +4  

a1 = 14

If we will analyze this sequence, we will notice that:

So,

[tex]\boxed{\left \{ {{a_1=14} \atop {a_n=a_{n-1}+4}} \right.}[/tex]

Therefore, the correct option is letter C.