A machine at a bakery is pouring out flour. The graph shows the amount of flour (in grams) in the machine versus time (in minutes).
(a) What is the amount of flour in the machine at minutes?

(b) Choose the statement that best describes how the time and amount of flour are related. Then fill in the blank.

As time increases, the amount of flour in the machine decreases.
At what rate is the amount of flour decreasing?

As time increases, the amount of flour in the machine increases.
At what rate is the amount of flour increasing?

According to the equation does the graph of the systems of equations solve is B.

1/3x+1=2x-4 is correct.

A graph is a structure consisting of a group of items, some of which are "linked." The objects are mathematical abstractions known as vertices, and each pair of connected vertices is known as an edge.

It is evident from the graph that the two lines intersect at the location:

(3, 2).

To put it another way,

at x =3, y = 2

The point where two lines intersect is:

(x, y) = (3, 2) (3, 2).

Now,

x = 3 is the point  of the x-coordinate

y = 2 is the point of the y-coordinate

Now, examine the equation, 1/3x+1=2x-4, to see if it contains the correct x-coordinate value.

(1/3)x + 1 = 2x -4

subtracting 1 from both side:

(1/3)x + 1 -1  = 2x -4 -1

We get:

(1/3)x = 2x -5

subtract 2x from both sides:

(1/3)x -2x = 2x -5 -2x

We get:

-(5/3)x = -5

on simplifying the equation we get:

x = 3

the value of x = 3

this show that the 1/3x+1=2x-4 is correct.

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Answer: 16

Step-by-step explanation:

Let Skylar is x year old

Hence, they ages is (x+1), (x+2), (x+3)

Thus,

x+(x+1)+(x+2)+(x+3)=70

x+x+1+x+2+x+3=70

4x+6=70

4x+6-6=70-6

4x=64

Divide both parts of the equation by 4:

x=16

The age of Skylar is 16.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the ages of the siblings be x, x+1, x+2 and x+3.

and, the sum of the ages be 70.

So, x+ x+1 + x + 2 +x+ 3 = 70

4x + 6 = 70

4x = 70 - 6

4x = 64

x= 64/4

x = 16.

Then, the age of siblings be 16. 17, 18 and 19.

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The x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2

The x-intercept of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0

The function is given as

f(x) = cos(x)

And the interval is given as

[0, 2)

The above means that we determine the value of x when the function f(x) equals 0

So, we have

cos(x) = 0

The above equation can be solved graphically

See attachment for the graph of the function f(x) = cos(x)

In the interval [0, 2), the graph crosses the x-axis at points x = π/2 and 3π/2

Hence, the x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2

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The information illustrated that A. there is a small difference in the mean number of stray cats placed in homes buy a new lease on life animal clinic each week and the mean number of stray cats placed in homes by no raft staff animal hospital each week.

A mean or average is the ratio of the sum of observations to the number of observations.

For the first case:

Mean = (13*5 + 14*10 + 15*19 + 16*13 + 17*4)/75 = 10.21

For the second case:

Mean =(3*2 + 4*10 + 5*21 + 6*11 + 7*5 + 8*3)/33 = 10.48

Therefore, it should be noted that there is a small difference in the mean number of stray cats placed in homes buy a new lease on life animal clinic each week and the mean number of stray cats placed in homes by no raft staff animal hospital each week.

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The given sequence is an arithmetic sequence and the common difference is 4.

Given, the sequence is :

3,12,48

we need to determine the common difference.

common ratio = a₂/a₁

a₂/a₁ = 12/3

a₂/a₁ = 4

a₃/a₂ = 48/12

a₃/a₂ = 4

hence the common difference is 4.

Therefore, the common difference indicates arithmetic sequence.

There are two approaches to define an arithmetic sequence. It is a "series where the differences between every two succeeding terms are the identical" (or) In an arithmetic sequence, "each term is obtained by adding a fixed number (positive or negative or zero) to its preceding term."

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The total amount the Kiko spent on video game and DVDs is $30.30

What is the relationship between rental price and total cost?

The relationship between rental price and total cost is such that the total cost of renting is determined cost per item multiplied by the number of items rented, in other words, the total amount Kiko spent on video game is the rental price of each video game multiplied by the  number of video games rented

total amount Kiko spent on video game=$3.20*6

total amount Kiko spent on video game=$19.20

total amount Kiko spent on DVDs=$3.70*3

total amount Kiko spent on DVDs=$11.10

total amount Kiko spent=$19.20+$11.10

total amount Kiko spent=$30.30

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The required line representing the rise and the run of the line is created.

And the slope of the line in its simplest form is 9/-18.

Given a line is represented on the graph.

we need to create lines representing the rise and run of the line.

To find the slope of the line we need to determine the rise and run of the line.

The slope of a line is defined as the rise divided by the run, or the ratio of the rise to the run. It gives information about a line's slope in the coordinate plane. Finding the slope between two separate places is comparable to calculating the slope of a line.

The coordinates of the points are:

(9,0) = (x₁ , y₁)

(₋9 , 9) = (x₂ , y₂)

we know that slope (m) = rise/ run

rise  = y₂ ₋ y₁

= 9 ₋ 0

= 9

run = x₂ ₋ x₁

= ₋9 ₋ 9

= ₋18

hence the slope is 9/₋18

The required slope of the line is 9/-18.

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The dimensions of the another rectangle is 2 cm and 4 cm.

According to the statement

We have to find that the perimeter of another rectangle.

So, For this purpose, we know that the

The perimeter of a shape is defined as the total length of its boundary.

From the given information:

The perimeter of a pool is 150 m. the rectangle at the right is a scale drawing of the pool. The length of each square on the grid represents 1 cm. draw another scale drawing of the pool using the scale 25 m to 2 cm.

Then

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

l/b = 1/2

b = 2l ------(2)

From equations (1) and (2),

l + 2l = 75

3l = 75

l = 25 m

Width 'b' = 2(25) = 50 m

Now we've to draw a rectangle with a scale = 25 : 2

Therefore, multiplier factor = 25/l = 25/2

l = 2 cm

Similarly,

50/w = 25/2

w = 4 cm

Now we are able to draw a rectangle with length = 2 cm and width = 4 cm.

So, The dimensions of the another rectangle is 2 cm and 4 cm.

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[tex]f_x(0,0)[/tex] is the partial derivative of [tex]f[/tex] with respect to [tex]x[/tex] evaluated at the origin. By definition of derivative, this is the limit

[tex]\displaystyle f_x(0,0) = \lim_{x\to0} \frac{f(x,0) - f(0,0)}{x-0} = \lim_{x\to0} \frac{f(x,0)}x[/tex]

We have by definition of [tex]f[/tex],

[tex]f(x,0) = \dfrac{x^5}{x^4+0^4} = \dfrac{x^5}{x^4}[/tex]

so

[tex]\displaystyle f_x(0,0) = \lim_{x\to0} \frac{\frac{x^5}{x^4}}x = \lim_{x\to0} \frac{x^5}{x^5} = \lim_{x\to0} 1 = \boxed{1}[/tex]

Answer:

1:17 PM

Step-by-step explanation:

1:59 has 59 minutes

42 minutes is what we must subtract by to find the time of the musical, M

[tex]M = 59 - 42\\M = 17\\M = 1:17[/tex]

A. 1 and 7 and

2 and 8 alternate exteriora

Answer:

∠1 and ∠7, ∠2 and ∠8

Step-by-step explanation:

Alternate exterior angles are on the exterior of the lines and on opposite sides of the transversal.

Answer:

7 oz.

Step-by-step explanation:

$800 x 7 = $5600.

Answer:

7 ounces

Step-by-step explanation:

5600/800=7

Answer: 6 : 3 = 8 : 4 = 1 : 2

Step-by-step explanation:

Here are 3 equivalent ratios

6 : 3 = 8 : 4 = 1 : 2

The system of equation  4x - 3y = 3and  -8x + 6y = -6 has no solution as they are parallel lines.

When two or more linear equations are there we call them a system of equations.

Given a system of equations 4x - 3y = 3...(i) and -8x + 6y = -6...(ii) this is solvable as the number of variables is not more than the number of equations.

Now to solve for x or y first we have to eliminate one of the varibales by any arithmetic operation.

By observing we conclude that if we multiply equation(i) by 2 and then add both of them the x variable will cancel out and we can solve for y which is

      8x - 6y =  6

(+)  -8x + 6y = -6

 ----------------------

As we can see here that both x and y are getting canceled therefore these two equations have no solution and hence they are parallel to each other(lines).

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Answer:

$2.50

Step-by-step explanation:

20 ÷ 8 =  2.50

Answer:

∠ON = 5

Making even jumps, I was able to determine that angles O and N were 5 units apart.

If you need me to put it in radical form or have concerns about this, please inform me. Have a good day!

The statement that describes the shaded region in the Venn diagram is (a) (P u Q)' n S

The Venn diagram represents the given figure

On the Venn diagram, we can see that:

All region that contains set P and Q are not shaded

This means that

(P u Q)'

The only region that is shaded in the diagram is the region of set S

This is then represented as

(P u Q)' n S

Hence, the statement that describes the shaded region in the Venn diagram is (a) (P u Q)' n S

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Answer: Yes

Step-by-step explanation:

Answer:

which one is a factor that effects temperature between Tanzania and Netherlands ?

From the given parameters in the survey; It is not binomial because the probability of success does not remain the same in all trials.

The conditions for a distribution to be called binomial distribution are as follows;

1. The number of observations n is fixed.

2. Each observation is independent.

3. Each observation represents one of two outcomes (either a success or failure).

4. The probability of success (p) is the same for each outcome.

Now, from the given question, we can see that the number of observations is fixed and that each observation is independent. However, we don't know the probability of success for each person and as such we can't call this a binomial distribution.

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The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.

The first number will be 9 and the second number will be 98.

In the second number, the 9 is in the tens position which means that it has the value of 90.

In the first number, the value of 9 is simply 9.

therefore,90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.

The “tens” digit is the digit in the second place to the left of the decimal point. The tens digit of 42936.875 is “3”. The “tenths” digit is the digit directly to the right of the decimal point.Each digit is a different place value. The left digit is the tens' place. It tells you that there are 8 tens. The last or right digit is the ones' place which is 4 in this example

In our decimal number system, the value of a digit depends on its place, or position, in the number. Each place has a value of 10 times the place to its right. A number in standard form is separated into groups of three digits using commas.

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Answer:

4. 7

5. a=7   d=31.5

Step-by-step explanation:

Answer:

Step-by-step explanation: 15 divided by 5 is 3

so the answer is 3

Answer:

997

999

701

703

705

Sper că am ajutat <3

Answer:

f(x) + n - shift a graph of f n units up

f(x) - n - shift a graph of f n units down

f(x + n) - shift a graph of f n units left

f(x - n) - shift a graph of f n units right.

f(x) = x³, g(x) = (x + 3)³ - 4 = f(x + 3) - 4

3 units left and 4 units down.

(x, y) → (x - 3, y - 4)

therefore

(0, 0) → (0 - 3, 0 - 4) = (-3, -4).

Answer: (-3, -4).

Step-by-step explanation:

hope it helpsssss

Answer:

x = -16

Step-by-step explanation:

An exterior angle of a triangle is the angle formed when one side is extended.

The sum of all exterior angles is 360°

Since the 3 exterior angles are given in terms of x we can add them up, set the sum to 360 and solve for x

Adding we get

-9x + 13  
-2x +  3    
-10x +  8
_________

-21x + 24
_________

∴ -21x + 24 = 360

Subtract 24 from both sides:
-21x = 360-24
-21x = 336

Divide both sides by -21
-21x/-21 = 336/-21
x = -16

Hope that helps. Please ask if you need any more explanation

The future value of these funds at the end of the five-years is $287,536.95

What is the future value of an annuity?

The future value of annuity , which is a  stream of level of cash flows of $50,000 each year is determined using the future value formula of an ordinary annuity bearing in mind that that investment for an ordinary annuity is made at the end of each year rather than at the beginning of each year

FV=PMT*(1+r)^N-1/r

FV=future value of the annuity=unknown

PMT=annual investment=$50,000

r=annual interest rate=7%

N=number of annual investments to be made over 5 years=5

FV=$50,000*(1+7%)^5-1/7%

FV=$50,000*(1.4025517307-1)/0.07

FV=$50,000*0.4025517307/0.07

FV=$287,536.95

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Answer:

Step-by-step explanation: since X=3 replace X

3 (3)2 +8 (3)+8  

18+24+8 =50