The table below shows the relationship between the approximate number of hours and the corresponding number of days on Saturn.

Saturn
Hours
Days
266 and two-thirds
25
373 and one-third
35
426 and two-thirds
40
586 and two-thirds
55

What is the approximate number of hours in 72 days on Saturn?
603 and two-thirds
658 and two-thirds
743
768

Answers

Answer 1

Considering a line of best-fit, the approximate number of hours in 72 days on Saturn is given by 768.

How to find the equation of linear regression using a calculator?

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, the points are:

(266.67, 25), (373.3, 35), (426.67, 40), (586.67, 55).

Using a calculator, the equation is:

y = 0.09375x + 0.00003455.

For 72 days, we have that y = 72, hence the number of hours is x.

y = 0.09375x + 0.00003455.

72 = 0.09375x + 0.00003455.

x = (72 - 0.00003455)/0.09375

x = 768 hours.

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Related Questions

Samantha opened a savings account and deposited $8192. The account earns 10% in interest annually. She makes no further deposits and does not withdraw any money. In t years, she has $25,710 in this account. Write an equation in terms of t that models the situation.

Answers

The equation in terms of t that models the situation is given by

[tex]8192(1+\frac{0.01}{12} )^{12t} = 25710[/tex].

We know that the interest on a loan or deposit that is accrued on both the initial principal and the total interest from prior periods is known as compound interest and it can be calculated as

[tex]A = P(1+\frac{r}{n})^{nt}[/tex],

where P is the initial principal, r is the rate of interest, n is the number of times interest was charged for each time period, t is the amount of time that has passed and A is the final amount.

Here, P = 8192, r = 10% = 10/100 = 0.01, n = 12 and A = 25,710

So, we can write

[tex]8192(1+\frac{0.01}{12} )^{12t} = 25710[/tex]

Therefore the required equation is

[tex]8192(1+\frac{0.01}{12} )^{12t} = 25710[/tex]

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If x=3 y=4 z=6 then 4x+8yz+3y equals

Answers

Answer:

216

Step-by-step explanation:

4x+8yz+3y

Let x=3 y=4 z=6

Substitute the values into the expression

4(3)+8(4)(6)+3(4)

Multiply first

12+192+12

Then add

216

HELP! ASAP!
A box without a top is to be made from a rectangular piece of cardboard, with dimensions 4 in. by 8 in., by cutting out square corners with side length x and folding up the sides.

(a) Write an equation for the volume V of the box in terms of x.
(b) Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.

Answers

Step-by-step explanation:

Part A:

So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)

v = x(4-2x)(8-2x)

Part B:

The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation

so for the x in front it must be greater than 0 to make sense

for the (4-2x), the x must be less than 2 or else the width is  negative.

for the (8-2x) the x must be less than 4 or else the length is negative

so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0

By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317  

Question 13 of 50
Choose two statements (the original conditional statement and its converse)
that could form the biconditional "The object weighs a ton if and only if the
scale reads 2000 pounds."
A. If the object weighs a ton, then the scale reads 2000 pounds.
B. If the scale does not read 2000 pounds, then the object does not
weigh 2000 pounds.
C. If the scale reads 2000 pounds, then the object weighs a ton.
D. The scale reads 2000 pounds if and only if the object weighs a
ton.


it can be more then one answer too

Answers

Conditional statements are ones that begin with a hypothesis and end with a conclusion. The correct option is A and C.

What are conditional Statements?

Conditional statements are ones that begin with a hypothesis and end with a conclusion. It is sometimes referred to as a "If-then" statement. If the hypothesis is correct but the conclusion is incorrect, the conditional statement is incorrect.

The two statements that among which one is original and the other one is its converse is If the object weighs a ton, then the scale reads 2000 pounds, and  If the scale reads 2000 pounds, then the object weighs a ton.

Hence, the correct option is A and C.

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the data below shows the number of workers employed in the various section s of each a construction company in the Lagos

Carpenter 24
plumber 12
labourers 27
plasterers 15
painters 9
Messengers 3
bricklayers 18

if the Worker is retrenched, what is the probability that he is a plumber or a plasterer?​

Answers

If the Worker is retrenched, the probability that he is a plumber or a plasterer will be  0.0152.

What is probability?

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

The probability that the employee is a plumber;

[tex]\rm P(plumber)= \frac{No \ of \ plumber}{Total \ number \ of \ employ} \\\\ P(plumber)=\frac{12}{108} \\\\\ P(plumber)= 0.11[/tex]

The probability that the employee is a plasterer;

[tex]\rm P(plasterers )= \frac{No \ of \ plasterers }{Total \ number \ of \ employ} \\\\ P(plasterers )=\frac{15}{108} \\\\\ P(plasterers )= 0.13[/tex]

The probability that he is a plumber or a plasterer:

P = 0.13 × 0.11

P= 0.0152

Hence, if the worker is retrenched, the probability that he is a plumber or a plasterer will be  0.0152.

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5
The recursive formula for a geometric sequence is given below. What is the third term in the sequence?
f(1) = 2
f(n) = 3f(n − 1)
-
OA. 18
OB. 54
OC. 162
OD. 12
Reset
Submit

Answers

f(1) = 2
f(2) = 3f(1) = 3(2) = 6
f(3) = 3f(2) = 3(6) = 18 (A)

[tex]\Large{ \boxed{ \tt{ \blue{A}}}}\Large{ \boxed{ \tt{ \pink{N}}}}\Large{ \boxed{ \tt{ \green{S}}}}\Large{ \boxed{ \tt{ \purple{W}}}}\Large{ \boxed{ \tt{ \red{E}}}}\Large{ \boxed{ \tt{ \pink{R}}}}[/tex]

[tex] \: \: [/tex]

A. 18

[tex] \: \: [/tex]

[tex]\Large{ \boxed{ \tt{ \blue{S}}}}\Large{ \boxed{ \tt{ \pink{O}}}}\Large{ \boxed{ \tt{ \green{L}}}}\Large{ \boxed{ \tt{ \purple{U}}}}\Large{ \boxed{ \tt{ \red{T}}}}\Large{ \boxed{ \tt{ \pink{I}}}}\Large{ \boxed{ \tt{ \blue{O}}}}\Large{ \boxed{ \tt{ \pink{N}}}}[/tex]

[tex] \: \: [/tex]

[tex] \mathtt{f(1) = 2}[/tex][tex] \tt{f(2) \: = \: 3f \: (1) \: = \: 3(2) \: = \: 6}[/tex][tex] \tt{f(3) \: = \: 3f(2) \: = \: 3(6) \: = \: 18}[/tex]

[tex]\color{pink}─────────────────────────────────────[/tex]

keep learning

What are the solutions to the quadratic equation below?
x²-2x-168 =0

Answers

Answer:

x= 14, –12

Step-by-step explanation:

The given question might make you believe that it's difficult due to it's frightening digit (168) but in fact in you use the following methods, it's going to be a pieces of cake.

the delta formula:

Δ=b²–4ac===> (–2)²–4(1)(–168)=676

[tex]x 1 = \frac{ - ( - 2) + \sqrt{676} }{2} = 14 [/tex]

[tex]x2 = \frac{ - ( - 2) - \sqrt{676} }{2} = - 12[/tex]

well this can be on of the methods and the other one is

The full square formula:

[tex]x ^{2} - 2x - 168 = 0 \\ {x}^{2} - 2x = 168[/tex]

[/tex]

now what you need to do is to put this on both side of the equation (½b)²=1

[tex] {x}^{2} - 2x + 1 = 168 + 1 \\ {(x - 1)}^{2} = 169 \\ x - 1 = 13 = = > x = 14 \\ x - 1 = - 13 = = = > x = - 12[/tex]

The system of equations y = one-fourth x minus 1 and y = negative one-half x minus one-fourth is shown on the graph below.


On a coordinate plane, 2 lines intersect at (1, negative three-fourths).

Answers

The solution of the system of equations is (1, -3/4)

How to solve the system of equations?

Here we have the system of equations:

y = (1/4)*x - 1

y = -(1/2)*x - 1/4

To solve it, we use the fact that the variable "y" is the same in both equations, then we can write:

(1/4)*x - 1 = -(1/2)*x - 1/4

Now we can solve that for x:

(1/4)*x - 1 = -(1/2)*x - 1/4

(1/4)*x + (1/2)*x = 1 - 1/4

(1/4)*x + (2/4)*x =  1 - 1/4

(3/4)*x = 3/4

x = 1

To get the y-value of the solution, we just evaluate x = 1 in any of the two given lines, using the first one:

y =  (1/4)*(1) - 1 = -3/4

So the solution is (1, -3/4)

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Solve the linear programming problem.
Minimize and maximize
P = 10x + 5y
Subject to
2x+3y 230
2x+y ≤ 26
-2x+3y ≤ 30
x, y 20

Answers

The minimized value is 50 and the maximized value is 130

How to minimize and maximize the function?

The objective function is:

P = 10x + 5y

Subject to

2x+3y ≤30

2x+y ≤ 26

-2x+3y ≤ 30

x, y >0

Next, we plot the graph of the constraints (see attachment)

From the graph, the vertices of the feasible regions are:

(0, 10),(12, 2) and (6,14)

Substitute these values in P = 10x + 5y

P = 10(0) + 5(10) = 50

P = 10(12) + 5(2) = 130

P = 10(6) + 5(14) = 130

Hence, the minimized value is 50 and the maximized value is 130

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I need all of these please

Answers

Answer:

second answer is 120

firsr answer is 25

Detailed Answers:

1) (625/5) * 0.2

= (625/5) * 0.2
= 125 * 0.2
=> 25

2) 83 + (-85)

= 83 + (-85)
= 83 + -85
=> -2

3) 150/-5 * (-4)

= 150/-5 * (-4)
= -30 * -4
=> 120

4) (-34) + (-255)

= (-34) + (-255)
= -34 + -255
=> -289

5) 80 - (-22)

= 80 - (-22)
= 80 + 22
=> 102

6) 28 - (-65)

= 28 - (-65)
= 28 + 65
=> 93

7) -555/-5 * (-6)

= -555/-5 * (-6)
= 111 * -6
=> -666

8) 28 - (-26)

= 28 - (-26)
= 28 + 26
=> 54

9) -3 * 5

= -3 * 5
= -(3 * 5)
=> -15

10) [-19 - (-20) - (-34)] / (-6)

= [-19 - (-20) - (-34)] / (-6)
= [-19 + 20 + 34] / (-6)
= [1 + 34] / -6
= 35/-6
=> 5.83

11) -424/4

= -424/4
=> -106

12) [-18 - (-66) - 22] * 2

= [-18 - (-66) - 22] * 2
= [-18 + 66 - 22] * 2
= 26 * 2
=> 52

13) 19 - 23

= 19 - 23
=> -4

14) -61 - (-21)

= -61 - (-21)
= -61 + 21
=> -40

15) (-72/9) + (-64/8) + (-44/11)

= (-72/9) + (-64/8) + (-44/11)
= -8 + -8 + -4
= -16 + -4
=> -20

16) (16 - 21 + 34) / (-8)

= (16 - 21 + 34) / (-8)
= (29) / (-8)
= 29/-8
=> 3.625

? Question
Select the graph of the transformation.
The graph f(x)=√√ is transformed to form
shows g(x).

Answers

Answer: The vertex of the graph of [tex]y=x^2[/tex] is shifted to the right 4 units and up 3 units.

Use the Factor Theorem to determine whether x−1 is a factor of 4x^3−6x^2+2x+1.

Answers

1234567891011121314151617181920

The square of the difference between a number and 7 is 81 . Find the​ number(s).

Answers

Answer:

16 or -2

Step-by-step explanation:

Let the number be x.

Difference between the number and 7

= x -7 or 7-x

The square of the difference between x and 7

= (x -7)²

(x -7)²= 81

Square root both sides:

[tex]x - 7= \pm \sqrt{81} [/tex]

[tex]x - 7 = \pm9[/tex]

Add 7 to both sides:

[tex]x = 7\pm9[/tex]

x= 16 or x= -2

Thus, the number could either be 16 or -2.

Simplify this expression:

12a−8−5a+12

Answers

12a - 8 -5a + 12

arranging like terms

12a - 5a - 8 + 12

a ( 12-5) - 8 - 12

a(7) - 4(2 - 3)

a(7) -4(-1)

a(7) + 4

7a + 4

simplifing the expressions

Answer:

12a-5a-8+12

=(12-5)a+4

=7a+4

Maria expanded the following square as follows: (x+3)² =x²+9, is this correct?

Answers

Answer:

x² + 6x + 9

Explanation:

[tex]\sf = \left(x+3\right)^2[/tex]

Use perfect square formula: (a + b)² = a² + 2ab + b²

[tex]= \sf x^2 + 2(x) (3) + 3^2[/tex]

simplify the following

[tex]= \sf x^2 + 6x +9[/tex]

Hence Maria is not correct. The correct answer is x² + 6x + 9.

HELP ASAP!!!
At which values of x does the graph of the function F(x) have a vertical asymptote? Check all that apply. x = -8 x = 4 x = 3 x = -3 x = 8 x = -4

Answers

Answer:

A,E

Step-by-step explanation:

Answer:

x = 3
x = -8

Step-by-step explanation:

A $1,000.00 bond at 85 1/4 % pays 6.8 % annual interest. Calculate cost of bond.

Answers

Based on the par value of the bond and the percentage it was issued at, the cost of the bond is $852.50.

What is the cost of the bond?

The current cost of the bond is the present value of the bond's cashflows and its par value.

This is taken into account when the bond is issued at a certain percentage which in this case is 85 ¹/₄%.

The cost of the bond is:

= 1,000 x 85 ¹/₄%

= $852.50

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Complete the following table using the equation: y = -2x²

Answers

The parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The equation of the parabola will be

y = -x²

The given parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.

The graph of the function is given below.

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Find the product write your answer in exponential form 7^-1•7^-7

Answers

Answer:

1/5764801

Step-by-step explanation:

7^-1 × 7^-7

= 1/7(7^-7)

= 1/7(1/823543)

= 1/5764801

8
Diameter;
Radius:
B
(a) Find the perimeter of the square
(b) Find the area of the square Area =
(c) Find the circumference of the circle C = 2πr
(d) Find the area of the circle. Area = πr²
(e) Find the area of the region between the square and the circle

Answers

answer: A: 16

B: 16

C: 12.57

D: 12.57

E: 3.43 (do area of square-area of circle 16-12.57

Write and solve an inequality that means a number plus four is greater than or equal to twelve.​

Answers

Answer:

[tex]x+4\geq 12[/tex]

Step-by-step explanation:

x - a number

x+4 - a number plus 4

x+4[tex]\geq[/tex] - a number plus 4 is greater than or equal to

x+4[tex]\geq[/tex]12 - a number plus 4 is greater than or equal to twelve

Answer:

Inequality:  x + 4 ≥ 12

Solution:  x ≥ 8

Step-by-step explanation:

Plus:  "+" →  to add something to something else

Greater than or equal to:  "≥" → the expression on the left side of the inequality sign is greater than the expression on the right side of the sign.

Let x be the unknown number.

A number plus four is greater than or equal to twelve:

x + 4 ≥ 12

To solve the found inequality, subtract 4 from both sides:

⇒ x + 4 - 4 ≥ 12 - 4

⇒ x ≥ 8

Therefore, the solution to the inequality is x ≥ 8.  The unknown number x can be any real number equal to or greater than 8.

Please help me answer this question

Answers

Answer:

Z = sin(xy)

[tex]\frac{1}{y} \times \frac{\partial Z}{\partial x} =\cos \left( xy\right) =\frac{1}{x} \times \frac{\partial Z}{\partial y}[/tex]

If f(x)=x+2 and g(x)=x2+1 find:a. f(g(x)) b. g(f(x))

Answers

Answer:

Step-by-step explanation:

Answer:

x² + 3 and x² + 4x + 5

Step-by-step explanation:

(a)

to find f(g(x)) substitute x = g(x) into f(x)

f(g(x))

= f(x² + 1)

= x² + 1 + 2

= x² + 3

(b)

to find g(f(x)) substitute x = f(x) into g(x)

g(f(x))

= g(x + 2)

= (x + 2)² + 1 ← expand factor using FOIL

= x² + 4x + 4 + 1

= x² + 4x + 5

Given the coordinate T(8, -4), find the location of T after a dilation using a scale factor of 0.4.

Answers

The new coordinate will be T'(3.2 , -1.6) .

What is the meaning of Dilation ?

Dilation is the transformation that changes the size of the object without changing its shape .

If a coordinate point is (x,y) and a dilation of scale factor f is applied then the new coordinates will be (fx ,fy)

The coordinate given in the question is T(8, -4)

The scale factor is 0.4

The new coordinate is

T'( 0.4 * 8 , 0.4 * (-4))

T'(3.2 , -1.6)

Therefore the new coordinate will be T'(3.2 , -1.6)

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paul asked to order snacks for an office meeting of 180 people. she decides to order desert squares which come in boxes of 24. she estimates she will need 3.5 snacks per person. how many boxes should she buy?

Answers

Answer:

27 boxses

Step-by-step explanation:

calculations is shown in the picture

The graph of a function is shown on the coordinate plane below.



Between which two values of x is the function nonlinear and increasing?

A -5 and -3
B -3 and 1
C 1 and 4
D 4 and 6

Answers

The answer to this question is choice B

Jim takes a piece of plywood that is 45 centimeters long and uses a table saw to make a 53-
centimeter cut from corner to opposite corner. What was the width of the piece of plywood?
centimeters

Answers

Answer:

28 cm

Step-by-step explanation:

The corner to corner cut is a hypotenuse. We know one leg, 45cm. So use Pythagorean theorem to solve for the other leg. See image.

Factor the following expression. x² - 10x +9 2 Factor the following expression . x² - 10x +9 2​

Answers

Answer:

x² - 10x + 9 = (x-9)(x-1)

the factored expression would be (x-9)(x-1)

When factored it would be (x + 10)(x -1)

2) Sarah takes a small business loan for
$25,000. The term for repayment is 60
months and the interest rate is 5.75%.
formula,
Use the loan amortization
what is the estimated monthly
payment?

Answers

Using it's formula, it is found that the estimate monthly payment is of $480.42.

What is the monthly payment formula?

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

P is the initial amount.r is the interest rate.n is the number of payments.

The parameters are given as follows:

P = 25000, n = 60, r = 0.0575.

Hence:

r/12 = 0.0575/12 = 0.00479167.

Hence the payment will be of:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 25000(0.00479167)\frac{(1+0.00479167)^{60}}{(1+0.00479167)^{60}-1}[/tex]

A = 480.42.

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PLEASEEEEEEE PLEASEEEEEE HELPPPPPP ASAPPPP
Find the measure of angle A in degrees.

Answers

Answer:

Angles are 45, 45 and 90 degrees because

AB and BC are congruent so that means the angles eating the sides are also congruent.

So to find the congruent angles:

180-90=90/2=45 degrees

To find AC:

a²+b²=c²

x²+x²=h²

√18=√c²

3√2=c

(I don't know why it says 3√3, but I think the q is wrong)

Hope it helps!

Answer:

45 degrees

Step-by-step explanation:

This is a special right triangle with these lengths. Which leads us to find the angles of 45, 45, 90 and B is 90 so A and C are 45 degrees.

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Carla is writing a formal email to her supervisor. Select the sentences that contain language inappropriate for a formal email.Dear Isak, I spent a lot of time over the weekend thinking about what you said, and I'd like to apply for the vacancy you mentioned last week. I just know I'd be an awesome fit for that role. I believe that I am considerate, popular, and hard-working. Of the other members in the team, I also have more experience than the rest of that lot put together. Please may I be sent more details so I may apply formally? Regards, Carla The first step in determining the solution to the system of equations, y = -x2 - 4x - 3 and y = 2x + 5, algebraically is to set the two equations equal as -x2 - 4x -3 = 2x + 5. What is the next step? How do l do this please help Determine the hybrid orbital of this molecule. Se quieren llenar 100 botellas de agua con una capacidad de 1/4lt cuantos litros de agua son necesarias? Crazymaking is the result of which conflict style? How does a command economy differ from a mixed market economy? 1. sa inyong samahan, ikaw ang ibinutong pangulo ng samahan dahil malaki ang tiwala nila sa iyo.. paano mo ito pahahalahagahan hich condition would require an adjustment in the recommended intake of protein that differs from the RDA The author's tone when recounting his visit to thewaterfall can best be described as:A. joking.B. gloomy.C. pleading.D. reverent. which type of study that a student is doing by exploring the external features of an animal The genesis of the civil war in Guatemala were the social reforms of democratically-elected President Jacobo Arbenz, which conflicted with the interests of __________ adjective of popular Marking brainliest :) and 100 points!! When can a student begin practicing skills related to business information management?A. soon after entering the full-time workforceB. when they enter the part-time workforceC. soon after earning a diplomaD. while they are still in school 0 y-Which of the following exponential equations-2|--12.00412.012332.00140 y=x-3Oy=3*-2-3Oy-3-+2-333-23Gcould be represented by the table below?o12.0372.1112.33334534:0111 Members of a soccer team raised $1818.50 to go to a tournament. They rented a bus for $960.50 and budgeted $35.75 per player for meals. Write and solve an equation which can be used to determine p, the number of players the team can bring to the tournament. convert the proof to the paragraph format Economist and politicians argue that few policies regarding trade restriction can help to create domestic job, increase GDP and make a domestic economy more competitive globally. Explain what are those strategies that can be used for this purpose? The most powerful fmri tests suggest that the language areas of the cortex are: Winston pays a yearly fee to Barbara to rent stall space for his horse at the fairgrounds. Winstons tenancy is best classified as: