A local public library decides to track the number of hours that a certain computer is being used. The table represents the number of hours, y, which is dependent on the number of days, x.

x
y
3
21
5
37
7
53

What is the linear equation that represents this situation?
y = 8 x + 45
y = 8 x minus 3
y = 2 x + 16
y = 2 x minus 32

Answers

Answer 1

That statistic is based on a pinterest quote, the actual statistic is closer to 8-10%


Related Questions

Which statement is true about angles 3 and 6?

A. They Are adjacent angeles
B. They Are complementary angles
C. They are supplementary angles
D. They are vertical angles​

Answers

Answer: They are vertical angles​

Step-by-step explanation:

Intersecting lines form vertical angles.

a fruit vendor bought 75 Kg of bananas she gave 10kg of the bananas to a poor family she sold the remainder at $28 per kg if she make a loss of $55 on the transaction calculate the cost price of the bananas​

Answers

Answer:

$25

Step-by-step explanation:

the fruit vendor sold 75-10 = 65 kg of bananas. 65*28 = 1820 dollars. so the fruit vendor earned 1820 dollars.

since she lost 55 dollars, 75 * cost = 1875, divide by 75 to get cost = 25

Help pls!
Which rational function has zeros at x = -1 and x = 6 ?

Answers

Answer:

[tex]f(x) = \frac{x^{2} -5x-6}{x^{2} -4}[/tex]

Step-by-step explanation:

Let's factorize the 1st option :

⇒ [tex]f(x) = \frac{x^{2} -5x-6}{x^{2} -4}[/tex]

⇒ [tex]f(x) = \frac{x^{2}+x-6x-6 }{(x+2)(x-2)}[/tex]

⇒ [tex]f(x) = \frac{(x+1)(x-6)}{(x+2)(x-2)}[/tex]

===============================================================

Finding the zeros :

⇒ Factors of numerator should be equated to 0

x + 1 = 0 ⇒ x = -1x - 6 = 0 ⇒ x = 6

=============================================================

Solution :

[tex]f(x) = \frac{x^{2} -5x-6}{x^{2} -4}[/tex]

Answer:

first option

Step-by-step explanation:

the zeros are determined by the numerator of the rational function.

given that the zeros are x = - 1 and x = 6 , then the corresponding factors are

(x + 1) and (x - 6) , that is

(x + 1)(x - 6) ← expand using FOIL

= x² - 5x - 6

the rational function is then

f(x) = [tex]\frac{x^2-5x-6}{x^2-4}[/tex]

What is the value of the expression below when y=2 6y^2 +8y-9

Answers

Answer:

6y^2+7

Step-by-step explanation:

when you put in the two for y you get tour answer. i tried to simplify it down to the simplest form.

The value of the expression 6y² + 8y - 9 at y = 2 is 31.

What is substitution?

Substitution in mathematics is when we replace some specific numerical values with variables according to our wants or given in the problem.

Given, An expression 6y² + 8y - 9.

Now, The value of the expression at y = 2, can be obtained by replacing

y = 2.

Therefore, 6(2)² + 8(2) - 9.

= 6(4) + 16 - 9.

= 24 + 16 - 9.

= 40 - 9.

= 31.

So, The value of the expression at y = 2 is 31.

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Please help soon!!!!!!

Answers

Solving the exponential function, it is found that the times that will take to have the desired measures are given by:

a) 3.6 hours.

b) 38.51 hours.

c) 56.98 hours.

What is the exponential function for the amount of Carbon-10 after t hours?

The function is given by:

[tex]A(t) = 140(0.5)^{\frac{t}{19.255}}[/tex]

Solving for t, we have that:

[tex](0.5)^{\frac{t}{19.255}} = \frac{A(t)}{140}[/tex]

[tex]\log{(0.5)^{\frac{t}{19.255}}} = \log{\frac{A(t)}{140}}[/tex]

[tex]\frac{t}{19.255} = \frac{\log{\frac{A(t)}{140}}}{\log{0.5}}[/tex]

[tex]t = 19.255\frac{\log{\frac{A(t)}{140}}}{\log{0.5}}[/tex]

In item A, we have that A(t) = 123, hence:

[tex]t = 19.255\frac{\log{\frac{123}{140}}}{\log{0.5}}[/tex]

t = 3.6 hours.

In item B, we have that A(t) = 35, hence:

[tex]t = 19.255\frac{\log{\frac{35}{140}}}{\log{0.5}}[/tex]

t = 38.51 hours.

In item C, we have that A(t) = 18, hence:

[tex]t = 19.255\frac{\log{\frac{18}{140}}}{\log{0.5}}[/tex]

t = 56.98 hours.

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Which piece of additional information can be used to prove CEA CDB

Answers

Based on the angle-angle similarity theorem, the piece of additional information can be used to prove ΔCEA ≅ ΔCDB is: A. ∠BDC and ∠AED are right angles.

What is the Angle-angle Similarity Theorem?

Based on the angle-angle similarity theorem, if two triangles have two pairs of corresponding angles that are congruent, then both triangles are similar.

In the diagram given, we can establish that the two triangles have one pair of congruent angles, ∠CEA ≅ ∠CDB.

Thus, an additional information that is needed to prove that both triangles are similar is: A. ∠BDC and ∠AED are right angles.

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Answer: A. ∠BDC and ∠AED are right angles

Step-by-step explanation:

What is the value of t?


1.4t - 0.4(t-3.1) = 5.8



enter the answer as a decimal in the box.

Answers

Answer:

  4.56

Step-by-step explanation:

After this equation is simplified, it is solved the way any 1-step linear equation is solved.

__

1.4t -0.4(t -3.1) = 5.8 . . . . . . given

1.4t -0.4t +1.24 = 5.8 . . . . . eliminate parentheses

t +1.24 = 5.8 . . . . . . . . . collect terms (now you have a 1-step equation)

t = 4.56 . . . . . . . . .  .subtract 1.24

4.56 is the answer

I got 100% on the quiz
I hope this helps
Please Brainliest
Proof my answer is correct and not Incorrect

Does this graph represent a function? Why or why not?
OA. Yes, because it passes the vertical line test.
OB. Yes, because it is a curved line.
OC. No, because it is not a straight line.
OD. No, because it fails the vertical line test.

Answers

This graph represents a function Because it passes the vertical line test.

Let us first understand the Vertical Line Test.

In this test, we draw a few random vertical lines on a graph and check whether any one or more than one lines intersect the graph, no matter once or more.

If there exists a line that intersects the graph, we say the graph passes the vertical line test.

What is the vertical line test?

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

Hence this graph passes the vertical line test because there are many vertical lines that intersect it.

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let a={1,2,3,4,5} number of functions f from A to A such that f(m) +f(n)=7 whenever m+n = 7

Answers

Answer:

Correct option is A)

A={1,2,3,4,5,6}

f:A→A

∴ Number of onto function=n!

       =6!

                                           =6×5×4×3×2×1

∴ Number of onto function=720

Step-by-step explanation:

Is not a polygon because ???

Answers

Answer:

The shape includes a curve; all polygons are supposed to have straight sides, which this shape does not.

Answer: The shape includes a curve

Step-by-step explanation:

        Polygons are closed shapes with at least three straight sides.

        This shape is closed, but it includes a curve. This means the answer to our question is the second option from the top,

                 "The shape includes a curve"

can i have help with this

Answers

Answer:

6^a+v

Step-by-step explanation:

a^m * a^n = a^(m+n)

so, 6^a * 6^v = 6^a+v

Answer:

[tex] {6}^{a+v} [/tex]

Step-by-step explanation:

We want to find the value of

[tex]{6}^{a} \times 6 ^{v} [/tex]

We can do so by using basic exponent laws.

Multiplying exponents with the same base law:

(note that the base is the number under the exponent, in this case both bases have a value of 6 so we use this law)

[tex]a ^{m} \times {a}^{n} = {a}^{m+n} [/tex]

Explanation of law : We simply keep the bases the same and add the exponents.

Applying this law to 6^a * 6^v

We acquire

6^a * 6^v

==> keep the bases the same and add the exponents

6^a+v

Please helpp!!!!!! Quick

Answers

The area of the parallelogram in the given diagram is 103.68 cm²

Calculating area of Parallelogram

From the question, we are to determine the area of the given parallelogram

The area of a parallelogram can be calculated by using the formula,

A = bh

Where A is the area

b is the base

and h is the perpendicular height

From the given diagram,

b = 14.4 cm

h = 7.2 cm

Putting the parameters into the equation, we get

A = 14.4 × 7.2

A = 103.68 cm²

Hence, the area of the parallelogram in the given diagram is 103.68 cm²

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pls help!!!! i have eight more minutes to answer
eeeeeeeeee

Answers

Answer: B) 16 units

Step-by-Step Explanation:

As we can observe from the graph,

Length (l) = 5 units
Breadth (b) = 3 units

Perimeter = 2(l + b)

Therefore,
= 2(l + b)
= 2(5 + 3)
= 2(8)
= 2 * 8
=> 16

Perimeter = 16 units

the ___ of an acute angle of a right triangle is the ratio if the length of the adjacent leg to the length of the hypotonuse

Answers

Answer:

  cosine

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the answer to this question. It tells you ...

  Cos = Adjacent/Hypotenuse

__

The cosine of an acute angle is the ratio of the adjacent leg to the hypotenuse.

use the probability model listing all 6 possible outcomes when rolling a six-sided number cube. what is the probability of rolling 5 or greater

Answers

Answer:

The probability of it rolling 5 or above is 45%

Step-by-step explanation:

I have passed the test of it

2. At the sale, Jessica bought 4 pairs
sunglasses. How much did she
of
spend?
8.78176.60
A $51.58
B $51.80
C$55.80
D$54.80

Answers

How much did each of the pair sunglasses cost?

What value is missing from the table ?

Answers

Answer:

17 Gallons

Step-by-step explanation:

From the table, it is given:

1 gallon = $1.05

$1.05 = 1 gallon

$1 = [tex]\frac{1}{1.05}[/tex] gallons

$17.85 = [tex](\frac{1}{1.05} )(17.85)\\= 17 gallons[/tex]

solve
[tex] \frac{2x - 3}{4} = 3x[/tex]
with working out pls ​

Answers

[tex]~~~~~~\dfrac{2x-3}{4} = 3x\\\\\implies 2x-3 = (3x)(4)\\\\\implies 2x -3 = 12x \\\\\implies 12x -2x = -3\\\\\implies 10x = -3\\\\\implies x = -\dfrac{3}{10}[/tex]

Answer:

x = -3/10

Step-by-step explanation:

Given :

[tex]\frac{2x-3}{4} = 3x[/tex]

============================================================

Multiply both sides with 4 :

⇒ [tex]4 \times \frac{2x-3}{4} = 4 \times 3x[/tex]

⇒ 2x - 3 = 12x

============================================================

Subtract 2x from both sides :

⇒ 2x - 3 - 2x = 12x - 2x

⇒ -3 = 10x

x = -3/10

On Monday the temperature was -7 degrees Fahrenheit in Akron Ohio on Tuesday the temperature was colder than Monday what is a possible temperature in degrees Fahrenheit for Tuesday

Answers

the degrees Fahrenheit is -9

A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the
translation?
OT₁-9(x, y)
OT_1-9(x, y)
OT9, 1(x, y)
OT_9,-1(x, y)

Answers

Function rule describes the translation OT_1-9(x, y)

What is translation?

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation.

A square on a coordinate plane is translated 9 units down and 1 unit to the right.

Let's (x, y) be the coordinate.

where x be the horizontal move and y be the vertical move.

As, it is translated 9 units down and 1 unit right.

then

(x, y) = (x +1, y - 9)

and the translation be

(x, y ) = (x+1, y-9)

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You deposit $150 into an account that yields 2% interest compounded quarterly. how much money will you have after 5 years?

Answers

Answer:

2 divided by 100 multiply 150

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 4200 (1.07)

Answers

For the given exponential function there will be an exponential growth of 7%.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

we have

[tex]f(x) = 4200(1.07)^x[/tex]

This is an exponential function of the form

[tex]f(x)=ab^x[/tex]

where

a -  is the initial value

b -  is the base

If b > 1 ----> is a exponential growth

0 < b < 1 ----> is a exponential decay

r is the per cent rate

b = 1 + r

In this problem we have

a = 4200

b = 1.07

We can see that 1.07 > 1 -----> is a exponential growth

Find out the per cent rate

b = 1 + r

r = 1.07 - 1

r = 0.07

r = 7 x 100 = 7%

Therefore the given exponential function there will be an exponential growth of 7%.

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Find the measure of angle b.
29°
61
71
141
151

Answers

61°
Subtract 90 minus 29. You get 61°
Making sense?

Find the width of the rectangle shown with an area of 18 mm2 and a length of 6 mm.

Answers

Given:
Area = 18
Length = 8
Width = ?

Area = length * width
(Substitute the values)
18 = 6 * width
Width = 18 / 6
Width = 3mm
Therefore, width of the rectangle is 3mm

To check if the answer is correct
Area = length * width
Area = 6 * 3
Area = 18 mm2

What figure is graphed from the following points? Graph the figure. (0, 2) (2, 7) (4, 2) (6, 7)

Answers

Answer:

Rhombus

Step-by-step explanation:

The first and third points have the same y-coordinate along with the second and fourth. None have the same x-coordinate. This figure has two sets of parallel sides but no right angles.

Through a regular hexagon whose base edge is 8cm and whose height ii 12cma hole in the shape of the right prism with ots end being rhombus with diagonals of 6cm and 8cm is drilled find the total surface area and volume of the remaining soild?

Answers

The total surface area of the remaining solid is 48(4+✓3) centimeters square.

How to calculate the surface area?

Through a regular hexagonal prism whose base edge is 8 cm and the height is 12 cm, a hole in the shape of a right prism.

The formula for the total surface area will be:

= Total surface area=2(area of the base)+ parameter of base × height

where,

Height= 8cm

Parameter of base=12(2) = 24

Area of the base= ✓3/4×4² = 64✓3/4

The surface area of the remaining solid will be:

= 2(64✓3/4) + 24 × 8

= 2(64✓3/4 + 192

With the hole is a rhombus prism with the following parameters:

diagonal 1 = 6, diagonal 2 = 8, height = 12

The volume is:

V1 =0.5 × d1 × d2 × h

V1 = 0.5 × 6 × 8 × 12

V1 = 96

The dimensions of the hexagonal prism are:

Base edge (a) = 8

Height (h) = 12

The volume is

V2 = (3✓(3)/2)a²h

V2 = (3✓3)/2) × 8² × 12

V2 = 1152✓3

The remaining volume is

V = V2 -V1

V = 1152✓3 - 96

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Juan plays 2 hours of video games per day. How many hours does he play in 6 days?

Answers

One day = 2 hours
6 days = 2 * 6 = 12 hours

You have to multiply hours he plays per one day with 6 days.

You have two sticks. each stick has one blue side and one pink side. you throw the sticks 10 times and record the results. use the table to find the experimental probability of the event.
1. tossing 2 pink
2. tossing 1 blue and 1 pink
3. not tossing all pink
outcome | frecuency
2 blue | 1
2 pink | 3
1 blue, 1 pink | 6

Answers

Answer:

1. 30%, 2. 60%, 3. 70%

Step-by-step explanation:

According to table the total frequencies is:

1 + 3 + 6 = 10

Probability = Favorable outcome frequency / total frequency

Find each probability according to equation above:

1. P(2 pink) = 3/10 = 30%

2. P(blue and pink) = 6/10 = 60%

3. P(not all pink) = (10 - 3)/10 = 7/10 = 70%

The experimental probability of the event are: 3/10; 3/5; 7/10.

Experimental probability

Frequencies=1 + 3 + 6

Frequencies = 10

Hence:

Tossing 2 pink:

P(2 P) = 3/10

P(2 P) =30%

Tossing 1 blue and 1 pink:

P(B and P) = 6/10

P(B and P)=60% or 3/5

Not tossing all pink:

P(not all P) = (10 - 3)/10

P(not all P)= 7/10

P(not all P)=70%

Therefore the experimental probability of the event are: 3/10; 3/5; 7/10.

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I need help to this equation Ive been stuck for awhile

Answers

Answer:

try 1500 in the top slot and 5 in the bottom slot

Step-by-step explanation:

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which is the graph of the linear inequality y < 3x + 1?

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded.
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.

Answers

The attached graph represents the graph of the inequality

How to determine the graph of the inequality?

The points on the line are given as:

(-3,-7) and (0,2)

Start by calculating the linear equation using:

[tex]y = \frac{y_2 -y_1}{x_2 -x_1}(x -x_1) + y_1[/tex]

This gives

[tex]y = \frac{2 + 7}{0 + 3}(x -0) + 2[/tex]

Evaluate the fraction expression

y = 3(x -0) + 2

Evaluate the difference

y = 3x + 2

From the question, we understand that the line of the inequality is a dashed line and the left of the line is shaded.

This means that the inequality is greater than i.e. >

So, we have:

y > 3x + 2

See attachment for the graph of the inequality

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