What is the value of x?

Answer:

I really don't know happy

Answer:

ln t^5s^6.

Step-by-step explanation:

5In t + 6In s

= ln t^5 + ln s^6

= ln (t^5*s^6)

= ln t^5s^6.

Answer:

The nth terms: 15,24,33,42,51,60,69,78,87,96,105...

Step-by-step explanation:

The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula

Answer:

21

Step-by-step explanation:

Yes, since 21 has more than two factors i.e. 1, 3, 7, 21. In other words, 21 is a composite number because 21 has more than 2 factors.

The square cake can be distributed in such a way that each person out of 15 guest may get 8  [tex]inch^{3}[/tex], with the least amount left over .

The Correct option is (1).

The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space. It is usually measured in terms of cubic units.

First find the volume of square cake,

= 8 x 8 x 2

=128 [tex]inch^{3}[/tex]

Now there are total 15 guests, Each of get

=[tex]\frac{128}{15}[/tex]

=  8.533 [tex]inch^{3}[/tex]

 2.Volume of round cake (d= 6 inch, r=3 inch, h= 3 inch)

Volume= [tex]\frac{1}{3} \pi r^{2} h[/tex]

= [tex]\frac{1}{3} *3.14 *3^{2}* 3[/tex]

=[tex]3.14*9[/tex]

=28.26  [tex]inch^{3}[/tex]

Now there are total 15 guests, Each of get

=[tex]\frac{28.26}{15}[/tex]

= 1.884[tex]inch^{3}[/tex]

 3.Volume of round cake (d= 8 inch, r=4inch, h= 3 inch)

Volume= [tex]\frac{1}{3} \pi r^{2} h[/tex]

= [tex]\frac{1}{3} *3.14 *4^{2}* 3[/tex]

=[tex]3.14*16[/tex]

=50.24   [tex]inch^{3}[/tex]

Now there are total 15 guests, Each of get

=[tex]\frac{50.24}{15}[/tex]

=  3.349 [tex]inch^{3}[/tex]

 4. Volume = l x b x h

= 6 x 9 x 2

=108 [tex]inch^{3}[/tex]

Now there are total 15 guests, Each of get

=[tex]\frac{108}{15}[/tex]

=  7.2[tex]inch^{3}[/tex]

According to question each person may get 8 [tex]inch^{3}[/tex].

Only the square cake can be distributed in such a way that each person may get 8 [tex]inch^{3}[/tex], with the least amount left over .

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Answer:

Step-by-step explanation:

Answer:

7 1/2 cups

Step-by-step explanation:

First, convert the measure of ice cream from pints to cups:

1 pint = 2 cups

⇒ 4 pints = 4 × 2 = 8 cups

Therefore,

Milkshake = 8 cups of ice cream + 1 1/2 cups of milk

                 = 9 1/2 cups

If he drinks 2 cups of milkshake:

Remaining milkshake = 9 1/2 - 2

                                    = 7 1/2 cups

1pint=2cups

Total cups:-

Cups left:-

The height of the green pyramid constructed  by Natalie while playing with magnetic building tiles is 26.25 cm.

The volume of the orange pyramid is calculated as follows;

V = ¹/₃Ah

where;

V = ¹/₃ x (7²) x 5

V  = ¹/₃ x (245 cm³)

Voume = 21 x [¹/₃ x (245 cm³)]

Volume = 1,715 cm³

V = ¹/₃Ah

3V = Ah

h = 3V/A

h = (3 x 1715) / (14²)

h = 26.25 cm

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Answer:

its a

Step-by-step explanation:

got it right on the test.

Heyo!

RummySokka is here to help!

Here's a picture, that may help you!!

Hopefully, this helps you!!

RummySokka~

The linear regression equation that estimates the heart rate per number of jumping jacks is: y=1.72x + 69.4; the correlation coefficient of the linear regression equation is 0.97.

a. Linear regression equation:

We would make used of graphing calculator in order to determine the linear regression equation by plugging the below given data and then  click on stats  so as to perform a linear regression.

Given table:

(x, y), (0, 68), (10, 84), (15, 104), (20, 100), (30, 120)

Hence:

a = 1.72

b = 69.4

Equation

y = ax + b

y = 1.72x + 69.4

b. Correlation coefficient :

Correlation coefficient = 0.967

Correlation coefficient=0.97  (nearest hundredth)

Analysis:

The above correlation coefficient shows a strong positive correlation between the number of jumping jacks and the heart rate.

Therefore the linear regression equation that estimates the heart rate per number of jumping jacks is: y=1.72x + 69.4; the correlation coefficient of the linear regression equation is 0.97.

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Answer:

D. $17.28

Step-by-step explanation:

Multiply the price of gas per gallon by the number of gallons purchased to get your answer

2.469 x 7 = 17.28

Answer:

to me I think its c but I don't know if I'm right or wrong and I'm sorry if im wrong and I hope I help you

Answer:

1/6

Step-by-step explanation:

Answer:

A)    x = 2, y = 2

Step-by-step explanation:

An asymptote of a curve is a line which the curve gets infinitely close to, but never touches.

From inspection of the graph, we can see there is a horizontal and a vertical asymptote, both indicated by the dashed straight lines.

The horizontal asymptote is y = 2  (blue dashed line)

The vertical asymptote is x = 2  (red dashed line)

Therefore, the asymptotes are:  x = 2, y = 2

Answer:

0 because there is no black socks.

Step-by-step explanation:

Answer:

0 because there are already some in one drawer

Answer:

step 1: 45:82, unsimplified

step 2: 67:90, unsimplified

Step 3: 1:10 simplified

Step-by-step explanation: Using the property of retrostatistical Ratios, we understand that the answers above are correct.

Answer:

[tex]-45y + 70[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex]-30y + (-15y) + 70[/tex]

[tex]-30y - 15y + 70[/tex]

[tex]-45y + 70[/tex]

Answer: [tex]-45y + 70[/tex]

-30y+(-15y)+70 is the same as

-30y-15y+70

-45y+70

hope helpful ~

Answer: The answer is D. the last option

Step-by-step explanation:

The correct answer is option d) The graph is the radical function, y = √x shifted right 1 unit and up 4 units.

The original function is y = √(x - 1) + 4, which represents a radical function.

This function involves taking the square root of the quantity (x - 1) and then adding 4 to the result.

By shifting the function right 1 unit, we are replacing x with (x - 1). This means that the graph will be shifted horizontally by 1 unit to the right compared to the standard square root function.

By shifting the function up 4 units, we are adding 4 to the output of the square root function.

This means that the graph will be shifted vertically by 4 units compared to the standard square root function.

Therefore, the graph of the function y = √(x - 1) + 4 is the radical function y = √x shifted right 1 unit and up 4 units.

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Answer:

single payment variable annuity

Step-by-step explanation:

Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.

To find : What type of annuity is this?

Solution :

Annuity is the form of insurance in which some of the money is paid each year to secure for future.

There are two types of annuity:

Single payment variable annuity - In this annuity the payment is made at the end of each period  over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.

Annuity due - is the opposite of single payment variable annuity as in this the payment is made at the beginning of each period.

In the given situation the annuity is single payment variable annuity because the investment is done each year for 5 years.

The number of people at the party now is 23.

The percentage of a number is the fraction of that number multiplied by 100. Percentages are represented with this sign: %.

3 friends arrive at a party. The percentage of people increase by 20%.This can be represented with this equation:

p x 20% = 3 people

where p is the number of people at the party before the friends arrived.

p = 3 / 20%

p = 3 / 0.20

p = 15 people

The total number of people at the party now : 15 + 8 = 23.

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Answer:

If graph of any function going towards down in a particular interval. Then , function is decreasing in that interval.

From x = -∞ to x = a , function is positive and decreasing.

Here, a graph is attached in the question.

We know that, if graph of any function is going towards down in particular interval. Then function is decreasing in that particular interval.

If graph of any function is going towards up in particular interval. Then function is increasing in that particular interval.

In given graph. it is observed that in interval x = -∞ to x = a , graph of function is above x - axis and graph is going towards down. Therefore, in given interval function is positive and decreasing.

Step-by-step explanation:

Answer:

Find each product.

1. (q + 6)(q + 5) 2. (x + 7)(x + 4)

q2 + 11q + 30 x2 + 11x + 28

3. (n - 4)(n - 6) 4. (a + 5)(a - 6)

n2 - 10n + 24 a2 - a - 30

5. (4b + 6)(b - 4) 6. (2x - 9)(2x + 4)

4b2 - 10b - 24 4x2 - 10x - 36

7. (6a - 3)(7a - 4) 8. (2x - 2)(5x - 4)

42a2 - 45a + 12 10x2 - 18x + 8

9. (3a - b)(2a - b) 10. (4g + 3h)(2g + 3h)

6a2 - 5ab + b2

8g2 + 18gh + 9h2

11. (m + 5)(m2 + 4m - 8) 12. (t + 3)(t2 + 4t + 7)

m3 + 9m2 + 12m - 40 t

3 + 7t

2 + 19t + 21

13. (2h + 3)(2h2 + 3h + 4) 14. (3d + 3)(2d2 + 5d - 2)

4h3 + 12h2 + 17h + 12 6d3 + 21d2 + 9d - 6

15. (3q + 2)(9q2 - 12q + 4) 16. (3r + 2)(9r2 + 6r + 4)

27q3 - 18q2 - 12q + 8 27r3 + 36r2 + 24r + 8

17. (3n2 + 2n - 1)(2n2 + n + 9) 18. (2t2 + t + 3)(4t2 + 2t - 2)

6n4 + 7n3 + 27n2 + 17n - 9 8t

4 + 8t

3 + 10t

2 + 4t - 6

19. (2x2 - 2x - 3)(2x2 - 4x + 3) 20. (3y2 + 2y + 2)(3y2 - 4y - 5)

4x4 - 12x3 + 8x2 + 6x - 9 9y4 - 6y3 - 17y2 - 18y - 10

GEOMETRY Write an expression to represent the area of each figure.

21.

4x + 2

2x - 2

22.

3x + 2

5x - 4

x + 1

23. NUMBER THEORY Let x be an even integer. What is the product of the next two

consecutive even integers?

24. GEOMETRY The volume of a rectangular pyramid is one third the product of the area of

its base and its height. Find an expression for the volume of a rectangular pyramid

whose base has an area of 3x2 + 12x + 9 square feet and whose height is x + 3 feet.

x3 + 7x2 + 15x + 9 ft3

Step-by-step explanation:

Answer:

3.4cm

Step-by-step explanation:

Multiply the 2 numbers 5x24=120 then u will solve trhe surface and V=bxh  so then u U will get that

Answer:

947.41 ft

Step-by-step explanation:

Tan 36 = opp / adj = height / 1304

1304 * tan 36  = height = 947.41 ft

Answer:

270

Step-by-step explanation:

Answer:

the answer is in the picture

I would choose "Elimination" method.

Elimination is the easiest method to solve an equation. Because in this method first we have to find the value of "y" by eliminating "x". And at last,the value of "y" which we have got by elimimating,we need put to any equation as we desire. And finally the equation will be solved.

The total area of cardboard needed is equal to 121.34 square centimeters.

This is equal to the surface of the given chocolate.

First, we will have two sides that are rectangles measuring 16cm by 2.6cm, so the area is:

[tex]A = 16cm*2.6cm = 41.6cm^2[/tex]

Then we have another rectangular side which is the bottom one, that is a rectangle of 2.2cm by 16cm, so the are is:

[tex]A' = 2.2cm*16cm = 35.2cm^2[/tex]

Finally, we have the areas of the two triangular faces, the areas of these are:

[tex]A'' = 2.2cm*3cm/2 = 1.47cm^2[/tex]

Then the total area of cardboard needed is:

[tex]area = 2*A + A' + 2*A'' = 2*41.6cm^2 + 35.2cm^2 + 2* 1.47cm^2 = 121.34 cm^2[/tex]

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Answer: when you stop acting

Step-by-step explanation:

let's firstly convert the mixed fraction to improper fraction and then proceed.

[tex]\stackrel{mixed}{2\frac{3}{5}}\implies \cfrac{2\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{13}{5}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{array}{ccll} liters&hours\\ \cline{1-2} \frac{13}{5}&\frac{2}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~\frac{13}{5} ~~}{x}~~ = ~~\cfrac{~~\frac{2}{4} ~~}{1}\implies \cfrac{~~\frac{13}{5} ~~}{\frac{x}{1}}~~ = ~~\cfrac{2}{4}\implies \cfrac{13}{5}\cdot \cfrac{1}{x}=\cfrac{1}{2} \\\\\\ \cfrac{13}{5x}=\cfrac{1}{2}\implies 26=5x\implies \cfrac{26}{5}=x\implies 5\frac{1}{5}=x[/tex]