Please help with this question and show the working.

Answer:

8 -9788.8

15-273+4+484

Answer:

Step-by-step explanation:

The cup has 33.(66)% more liters than the jar.

The cup has more water than the jar.

The cup has 11/30 more liters of water than the jar.

Answer:

Step-by-step explanation:

[tex]S_{n}=\dfrac{n}{2}(2a + (n-1)*d)[/tex]

Here, n- number of terms ; d - common difference ;  a - first term

[tex]S_{8}=12\\\\\dfrac{8}{2}[2a+(8-1)*d]=12\\\\4[2a+7d]=12\\\\2a + 7d = \dfrac{12}{4}\\\\\\2a + 7d = 3 \ -----------------------(i)[/tex]

[tex]S_{16}=56\\\\\dfrac{16}{2}(2a+15d)=56\\\\\\8(2a+15d)=56\\\\2a + 15d=\dfrac{56}{8}\\\\\\[/tex]

2a + 15d = 7 ----------------(ii)

Subtract (i) from equation (ii)

(ii)         2a + 15d = 7

(i)          2a +   7d = 3  

           -      -          -  

                       8d = 4

                          d = 4/8

d = 1/2

Plugin d = 1/2 in equation (i)

[tex]2a +7*\dfrac{1}{2}=3\\\\\\2a = 3 -\dfrac{7}{2}\\\\\\2a =\dfrac{6}{2}-\dfrac{7}{2}\\\\\\2a=\dfrac{-1}{2}\\\\\\a=\dfrac{-1}{2*2}\\\\\\a=\dfrac{-1}{4}[/tex]

Second term =  first term + d

                      [tex]=\dfrac{-1}{4}+\dfrac{1}{2}=\dfrac{-1}{4}+\dfrac{2}{4}=\dfrac{1}{4}[/tex]

[tex]Third \ term =\dfrac{1}{4}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}\\\\\\Fourth \ term =\dfrac{3}{4}+\dfrac{1}{2}=\dfrac{3}{4}+\dfrac{2}{4}=\dfrac{5}{4}\\\\[/tex]

AP is :

[tex]\dfrac{-1}{4}; \dfrac{1}{4};\dfrac{3}{4};\dfrac{5}{4}.......[/tex]

Answer:

12m,

Step-by-step explanation:

The time difference computed from the personal best given shows that Stan was 15 seconds faster.

From the information given, Stan had a personal best one mile run time of 6 minutes and 35 seconds. After his last run, his new personal best is 6 minutes and 20 seconds.

Therefore, the difference in time till be:

= 6.35 - 6.20

= 15 seconds.

Therefore, Stan was 15 seconds faster.

Learn more about time on:

https://brainly.com/question/4931057

The rate of decay r is -0.139.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The exponential function [tex]y = 3.31(0.87)^x[/tex] can be written in the form

[tex]y = ab^x,[/tex]

where a = 3.31 and b = 0.87.

The formula for the rate of decay for an exponential function in the form

[tex]y = ab^x[/tex]is r = ln(b)

where ln is the natural logarithm.

In this case,

r = ln(0.87) ≈ - 0.139.

Since r represents the rate of decay as a decimal, the answer is r = - 0.139.

Thus,

The rate of decay r is - 0.139.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Answer:

8 x 60

Step-by-step explanation:

Hope it helps.

Answer:

y=2.75x+3

Step-by-step explanation:

$2.75 per sandwich (coefficient)

Solid $3 fee (y-intercept)

y=mx+b ---> y=2.75x+3

Answer:

∞

Step-by-step explanation:

I assume you meant 3×10 + 3456/3629 + 2341×123 + 123 ∞×90 and x is multiplication and not a variable.

Solution (5):

Simplifying the expression.

Solution (6):

Simplifying the expression.

Solution (7):

Simplifying the expression.

Solution (8):

Simplifying the expression.

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

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: (8x + 1) + ( - x + 7)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8x + 1 - x + 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8x - x + 1 + 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: 7x + 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: (8x - 3) - (3 x + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8x - 3 - 3x - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8x - 3x - 3 - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 5x - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 7) + (4x - 10)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x + 7 + 4x - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x + 4x + 7 - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 6x - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: (- 7x + 2) - (3x - 3)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 7x + 2 - 3x + 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 7x - 3x + 2 + 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 10x + 5[/tex]

Answer: n

Step-by-step explanation:

18/17 ≈1.058823529

Answer: You simply need to match each fraction to where they belong

Step-by-step explanation:

Since Angle XYZ equals 70 degrees, thus the sum of the Angle XYW and Angle WYZ equal 70 degrees

      Angle XYW + Ange WYZ = 70

         50 + (3x + 14) = 70

            3x + 14 = 20

              3x = 6

                 x = 2

Hope that helps!

Answer:

x = 2

Step-by-step explanation:

m<XYZ  = 70 and

m<XYZ = m<XYW + m<WYZ

So we can conclude 50 + 3x + 14 = 70 add like terms

64 + 3x = 70 subtract 64 from both sides

3x = 6 divide both sides by 3

x = 2

Answer:

A =33 units^2

Step-by-step explanation:

The area of a rectangle is found by

A = l*w  where l is the length and w is the width

A = 5.5* 6

A =33 units^2

In this case to calculate the limit, you simply plug the x value of -2 into the function

[tex]y = \lim_{x \to \--2}( -3x^3+2x^2-4x+5) = 24 + 8+8+5 = 45\\[/tex]

So the limit equals 45.

Hope that helps!

Answer:

[tex]\displaystyle y = 45[/tex]

General Formulas and Concepts:
Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                                [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle y = \lim_{x \to -2} \big[ -3x^3 + 2x^2 - 4x + 5][/tex]

Step 2: Find Limit

∴ the limit as x approaches -2 of the given function -3x³ + 2x² - 4x + 5 is equal to 45.

---

Learn more about limits: https://brainly.com/question/26091024

Learn more about calculus: https://brainly.com/question/26752465

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Answer:

a) 188.4955592

b) 197.9203372

c) 1

Step-by-step explanation:

Answer:

number one is the best one

The loan option that will allow the customer to pay the least amount of interest is 4-year loan with a 5.2% annual simple interest rate.

Formula for simple interest = P ×T × R/100

P = Principal amount borrowed ($12,000)

T = Time in various years given

R = Rate of simple interest generated

To determine which loan option that would allow the customer to pay the least amount of interest, the simple interest of each option is calculated below

Simple interest of a 4 years loan = 12000×4×5.2/100

= $2,496

Simple interest of a 5 years loan= 12000×5×4.2/100

= $2,520

Simple interest of a 6 years loan= 12000×6×4.7/100

= $3,384

Simple interest of a 5 years loan= 12000×3×8.4/100

= $ 18,144

Therefore, the loan option that will allow the customer to pay the least amount of interest is 4-year loan with a 5.2% annual simple interest rate.

Learn more about simple interest here:

https://brainly.com/question/20690803

Answer:96+ a factor of 3

Step-by-step explanation:

48+48=96

1.5+1.5=3

Answer:

She'll need 3 more hours to complete the project

Step-by-step explanation:

Because (3/4) × (4/3) = 1, you can multiply 9 by 4/3 to find the total amount of time needed for the project. You'll get a total time of 12 hours. To find how many more hours needed you would do 12 - 9 = 3 hours

The probability we consider factors that decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

An engine size greater than 3.9 L

Generally, This can be defined as the possibility of an event occurring with respect to other possible outcomes.

Probability looks at calculating the possibility of a given event's occurrence.

To determine the possibility of selecting an engine size greater than 3.9 L, we consider factors than decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

Hence, the probability we consider factors that decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

For more information on probability

brainly.com/question/795909

Answer:

3.374

Step-by-step explanation:

[tex]\mathrm{Write\:the\:numbers\:one\:under\:the\:other,\:line\:up\:the\:decimal\:points.}[/tex]

[tex]\mathrm{Add\:trailing\:zeroes\:so\:the\:numbers\:have\:the\:same\:length.}[/tex]

[tex]\begin{matrix}\:\:&5&.&3&1&6\\ -&1&.&9&4&2\end{matrix}[/tex]

[tex]\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left}[/tex]

[tex]\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:6-2=4\\[/tex]

[tex]\frac{\begin{matrix}\:\:&5&.&3&1&\textbf{6}\\ -&1&.&9&4&\textbf{2}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{4}\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&5&.&3&\textbf{1}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{\:\:}&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&5&.&\textbf{3}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\textbf{4}&\:\:&10&\:\:&\:\:\\ \:\:&\textbf{\linethrough{5}}&.&3&1&6\\ -&\textbf{1}&.&9&4&2\end{matrix}}{\begin{matrix}\:\:&\textbf{\:\:}&\:\:&\:\:&\:\:&4\end{matrix}}\\[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&\textbf{13}&\:\:&\:\:\\ \:\:&\linethrough{5}&.&\textbf{\linethrough{3}}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&\textbf{12}&10&\:\:\\ \:\:&\linethrough{5}&.&\textbf{\linethrough{13}}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&12&\textbf{11}&\:\:\\ \:\:&\linethrough{5}&.&\linethrough{13}&\textbf{\linethrough{1}}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{\:\:}&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&12&\textbf{11}&\:\:\\ \:\:&\linethrough{5}&.&\linethrough{13}&\textbf{\linethrough{1}}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{7}&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&\textbf{12}&11&\:\:\\ \:\:&\linethrough{5}&.&\textbf{\linethrough{13}}&\linethrough{1}&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{3}&7&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\textbf{\:\:}&12&11&\:\:\\ \:\:&\linethrough{5}&\textbf{.}&\linethrough{13}&\linethrough{1}&6\\ -&1&\textbf{.}&9&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\textbf{.}&3&7&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\textbf{4}&\:\:&12&11&\:\:\\ \:\:&\textbf{\linethrough{5}}&.&\linethrough{13}&\linethrough{1}&6\\ -&\textbf{1}&.&9&4&2\end{matrix}}{\begin{matrix}\:\:&\textbf{3}&.&3&7&4\end{matrix}}[/tex]

=3.374

The water is flowing into the pool at 1.5 gallons per minute and it would take 20 minutes to be filled.

An equation is used to show the relationship between two or more numbers and variables.

The pool holds 30 gallons of water. After 5 minutes, the pool is about one fourth full. Hence:

Time to full the pool = 5 minutes * 4 = 20 minutes

Rate of water flow = 30 gallons/20 minutes = 1.5 gallons per minute

The water is flowing into the pool at 1.5 gallons per minute and it would take 20 minutes to be filled.

Find out more on Equation at: https://brainly.com/question/13763238

Answer:

x = 12

Step-by-step explanation:

I am unable to decipher what "x = 9/36 x/48" means.

I'll assume that the question is to find a value of x such that:

   x/48 = 9/36

If so, cross multiply:

  36x = (48*9)

 36x =  432

  x = 12

Answer:

153.86

Step-by-step explanation:

Area = Pi*R^2

Or

3.14xRadiusx Radius= Area

so 3.14*7*7=153.86

If this helps can I get Brainliest pls.

Answer:

v=72 in3

sa=104 in2

Step-by-step explanation:

hope this helps!

Answer:

10.429% exceed

Step-by-step explanation:

expected:

150x [100+40]/100=210 parents were expected on first night

210x60/100=126 parents expected on the second night

210+126=326 expected

percentage difference=

210+150=360

360/326 x 100=110,429%

110,429%-100%=10,429% exceed