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Question 1

Which ordered pairs lie on the graph of the exponential equation

f(x) = 25(2.2)^x ?


Select EACH correct answer.

A. (0, 0)

B. (0.5, 37.08)

C. (1, 55)

D. (2, 121)




THE FIRST PICTURE GOES WITH QUESTION 2 ONLY

Question 2

The function f(x) = (3/8)^x is shown on the coordinate plane.

Determine which expressions describe the end behaviors of the function.


Select EACH correct answer.

A. As x increases without bound, the graph of f(x) decreases without bound.

B. As x increases without bound, the graph of f(x) approaches y = 1.

C. As x decreases without bound, the graph of f(x) increases without bound.

D. As x decreases without bound, the graph of f(x) approaches y = 0.

The value of the mean is 155.96mm

Calculation of the mean is:

n=5

Mean= [tex]\frac{\sum fx}{n}[/tex]

Mean=[tex]\frac{156.9+153.2+153.6+157.5+158.6}{5}[/tex]

Mean=779.8/5

Mean=155.96mm

The question was incomplete, the complete question is given below:

Auto pistons at Wenming​ Chung's plant in shanghai are produced in a forging​ process, and the diameter is a critical factor that must be controlled. from sample sizes of 10 pistons produced each​ day, the mean and the range of this diameter have been as​ follows:

Day Mean X(mm) Range R (mm)

1   156.9          4.2

2   153.2         4.6

3   153.6         4.1

4   157.5         4.8

5   158.6         4.7

What is the value of mean in mm, (round your response to 2 decimal places)

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( 1 ) The y-intercept for the first graph is 50. The correct option is B.

( 2 ) The y-intercept for the second graph is 12. The correct option is C.

( 3 ) The y-intercept for the third graph is 0. The correct option is C.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

The y-intercept of the first graph:-

y = mx + c

m= ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 350 - 50 ) / ( 4 ) = 75

y = mx + c

50 = 75 x 0 + c

c = 50

The y-intercept of the second graph:-

y = mx + c

m= ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 30 - 12 ) / ( 4 ) = 4.5

y = mx + c

12 = 4.5 x 0 + c

c = 12

The y-intercept of the third graph:-

y = mx + c

m= ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 6 - 3 ) / ( ( 8 - 4 ) = 3 / 4

y = mx + c

3 = ( 3 / 4) x 4  + c

c = 0

Therefore, the y-intercept of all the graphs is calculated above.

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We can conclude that the value of angle y is 70° and x is 35°.

So, a measure of 'x':

We can see that ∠BAC = ∠DAE (Inversely opposite angles)

Let 2x be y for instance:

Now, we know that y = 70 and similarly 2x = 70.

Now, solve for 'x' as follows:

Therefore, we can conclude that the value of angle y is 70° and x is 35°.

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The value for g is 2, meaning that each family bowled 2 games.

How to solve linear equations?
Given that the largest power of the variable (or pronumeral) in these equations is 1, linear equations are also known as first-degree equations. A line on the quadratic system is represented by a linear equation. This equation's general form is axe + b = 0, where a, b, and x are all integers and x is the variable. The y-axis is parallel to this form of equation's single solution, which it symbolizes.
The steps that should be followed while solving linear equations are listed below:
1) We must first determine which variable we need to isolate.
2) Next, make a distinction between variables and constants.
3) Arrange the constants on the right and the variables on the left.
4) Using established axioms, we carry out algebraic operations to determine the variable's value.

Given, the equation is 6(8g + 2) + 45 = 153
Following the steps in the available literature, we have the equation as:
6(8g + 2) + 45 = 153 ⇒ 48g + 12 + 45 = 153 ⇒ 48g = 153 - 45 - 12 = 96
⇒ g = 96/48 ⇒ g = 2
Thus, g as suggested will determine number of times each family bowled.

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Given:

Let's graph the the absolute value equation.

From the equation let's solve for x.

Since |x| = -2, there is no possible value of x that can satisfy this equation. This is because an absolute value can never be a negative number.

Therefore, we can say there is no solution.

This absolute value equation can not be graphed.

ANSWER:

No solution

64 fluid ounces is equivalent to 1920 milliliters in measurement.

Conversion of units means to convert between different units of measurement for the same quantity. Their are many different units that can be used to represent the same quantity. Some examples of units are m, cm, litre etc.

Given is Kamryn’s whose doctor recommended that she drink 64 fluid ounces of water every day and are about 30 milliliters in 1 fluid ounce.

A fluid ounce is a unit of capacity equal to one twentieth of a pint (approximately 0.028 litre)

In one fluid ounces → 30 milliliters.

Then, in 64 fluid ounces there will be → 64 x 30 = 1920 milliliters.

Therefore, 64 fluid ounces is equivalent to 1920 milliliters in measurement.

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Step-by-step explanation:

1. Transform by dividing both sides by Highest common factor which is 10 in this case.

2. Final answer is 50:1

Answer:

60 tulips

Step-by-step explanation:

1 daffodils : 3 tulips

Since she planted 20 daffodils

20 × 3 = 60 tulips

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Represent the two coins

Let N represents Nickels

Let Q represents quarters

STEP 2: Get the first equation

Equation 1: Eric has 130 coins consisting of quarters and nickels. This is given as:

STEP 3: Get the second equation

The total value of all of the coins is $15.90. Each quarter represents .25 and each nickel represents .05, then the second equation is:

STEP 4: Multiply Equation 2 by 100 to remove the decimals

STEP 5: Make N the subject of Equation 1

Answer:

that's a good question

Step-by-step explanation:

Use the distributive property to expand the binomials.

3(2x - 1) = 6x - 3
2(2x + 5) = 4x + 10

6x - 3 + 4x + 10

Combine like terms.

6x + 4x + 10 - 3

10x + 7

Step-by-step explanation:

3(2x-1)+2(2x+5)

6x-3+4x+10

6x+4x+10-3

10x+7

Answer:

[tex]y-6=7(x-1)[/tex]

Step-by-step explanation:

The equation of a line with slope [tex]m[/tex] and that passes through [tex](x_1, y_1)[/tex] in point-slope form is [tex]y-y_1=m(x-x_1)[/tex].

Answer:

it is 25 or 35

Step-by-step explanation:

The average rate of change of the equation g(x) =−x²+2x−4 from x = 2 to x = 5  is -15  .

The average of change of the function f(x) from x=a to x=b is given by the formula

Average rate of change = (f(b)-f(a))/(b-a)

In the question ,

it is given that

the function is g(x) =−x²+2x−4

we need to find g(2) and g(5) .

g(2) = −(2)²+2(2)−4

= -4 + 4 -4

= -4

g(5) = −(5)²+2(5)−4

= -25 +10 -4

= -15 -4

= -19

So , Average rate of change = (g(5) - g(2))/(5-2)

Substituting the values , we get

Average rate of change = (-19 - (-4))/3

= (-19+4)/3

= -15/3

= -5

Therefore , the average rate of change of the equation g(x) =−x²+2x−4 from x = 2 to x = 5  is -15  .

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Answer:

1,3,9,5

Step-by-step explanation:

Answer:

9, 5, 1, 3

Step-by-step explanation:

i forgot my vocabulary

But i still know decent engrish

Answer:

9

Composite numbers under 10:

4,6,8, and 9.

The only one of those 4 that is not a multiple of 2 is 9

Step-by-step explanation:

Hope it helps! =D

The number of apples in the bag are 6

What are algebraic equations?

Algebraic equation are the equation containing coefficients and variable Which can be solved by various method like substitution and elimination.

We are given that, Ms. Yoto is putting together bags of fruit that contain 1 pear for every 2 apples.

Also the total number of fruits in the bag are 9

Now mr. Yoto is putting 3 fruit at a time and the bag contains total of 9 fruits that means 3 such sets were put

in each set there were 2 apples and 1 pear

Hence there were 6 apples and 3 pear

Hence the number of apples in the bag is 6

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Answer: 1.28

Step-by-step explanation:

1. P(Z > 0.99) = 1 -Ф (0.99) = 1-0.8389 = 0.1611

2.P(Z <-0.99) = Ф(-0.99) = 0.161 (known that from [a] by symmetry)

3.P(Z <0.99) = Ф(0.99) = 0.8389

4. P(Z >0.99) = P(Z <-0.99) + P(Z > 0.99) = 2(0.1611) = 0.3222

The value z = 10.0 is out because it is too large. On comparing with the largest value, z = 3.99,

we get

5. P(Z < 10.0) > P(Z <3.99) = 1.0

6.P(Z > 10.0)<P(Z > 3.99) =10.0

7. On solving the equation

Ф(Z) = 0.9

for Z.

In Table A4, find the value of z corresponding to the probability 0.9. The  nearest value is Ф(1.28) = 0.8997. Therefore, z ≈ 1.28

72.3 - 39.1 = 4 tens - 7 ones - 2 tens is the correct order after rewriting.

Given the formula 72.3 + (-39.1)

removing the parentheses:

= 72.3 + (-39.1) (-39.1)

= 72.3 - 39.1

converting decimal numbers to place values

72.3 = 7tens plus 2units plus 3tenths

72.3 = 7(10) (10)

+2(1)+3(1/10)

72.3 =70+2+0.3

Similarly, 39.1

39.1 = 3tens plus 9units plus 1tenth

39.1 = 3(10)+9(1)+1(1/10)

39.1 =30+9+0.1

72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)

72.3 - 39.1 = 70+2+0.3 - 30-9-0.1

72.3 - 39.1 = 70-30+2-9+0.3-0.1

72.3 - 39.1 = 40 - 7 +0.2

Hence after rewriting we get 72.3 - 39.1 = 4 tens - 7 ones - 2 tens

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The function which can be the reflection along y-axis will be F(-x, y).

A function may be defined as an expression in which for every input variable x there is only one output variable y. The input variable is known as independent variable and output variable is known as dependent variable. Reflection may be defined as the changes which occur on a graph for a given curve. If reflection of a point occurs along x axis, then there will be change in the y coordinate and if reflection along y axis, then there will be change in the x coordinate. We have a function F(x, y) and we need to find reflection along y axis so there will be change in the x coordinate, so new function will be F(-x, y).

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Answer:

30 + x + x + x = 180

so, 30 + 3x = 180

sub 30 on both sides

3x = 150

divide 3 on both sides

x = 50

Answer:

Chloe has 10 songs.

Step-by-step explanation:

40 ÷ 4 = 10

The equation which forms the correct slope-point form equation is

y - 9 = 2( x - 5). Thus, option (1) is the answer.

The point-slope form is a method that uses the slope of the line and a random coordinate on any point of the line to create an equation of that line.

The equation in the point-slope form is written in the format: [tex]y-y_{1}=m(x-x_{1})[/tex] , where m is the slope and [tex]x_{1}[/tex] and [tex]y_{1}[/tex]are the coordinates of the point on the line.

The given slope is 2, the x-coordinate is 5, and the y-coordinate is 9. There will be no addition symbol in the equation. There is only a subtraction of the coordinates in the equation form. Since options 2, 3, and 4 have addition signs, they do not show the correct equation.

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It will take 6 seconds for the acorn to be 1 foot above the ground.

A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

A typical form linear equation is, for instance, 2x+3y=5. When an equation is provided in this format, finding both intercepts is rather simple (x and y).

Given:

acorn is falling from 13 feet

Every seconds it descends = 4.8 feet

let us assume that the equation for the distance between the acorn from the ground is

x =13 - 4.8 y

where is y is time in seconds and x is the distance

if x = 1 foot

1 = 13 -4.8y

-12  = -4.8y

y = -12 / -4.8

y = 2.5 seconds

Hence, it will take 6 seconds for the acorn to be 1 foot above the ground.

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Using Linear equation, The total number of fishes in the aquarium is found to be 50.

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting, multiplying, dividing same number to both sides.

Given that number of fishes jake has in the aquarium = 30

And that number of fishes Emi has is 1/3 the number of fish that jake has .

Therefore, Number of fishes that Emi has = 1/3 (30) = 10

Also given that Emi has 1/2 the number of fish that Tobin has .

Let Tobin has x fishes

⇒  1/2(x) = Number of fishes Emi has

⇒ (1/2)x = 10, this is an linear equation in x

Multiplying both sides by 2, We get:

⇒ 2× (1/2)x = 2 ×10

⇒ x = 20

∴ Tobin has 20 fishes

If the three students combined all their fish in the school's aquarium,

the Total number of fishes = 30+20+10 = 50

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Answer:

£16.30

Step-by-step explanation:

0.5*14=7 litres for 2 weeks

The total cost to buy 7 litres = 7 × 2.35 = 16.45

The cost of 7 litres with the 1 litre jars is £16.45

The total cost to buy 7 litres = (4.65 × 3) + 2.35 = 16.30

The cost of 7 litres with the 2 and 1 litre jars is £16.30

16.45-16.30=15p

The lowest price Beth can buy this mayonnaise for £16.30.

The study of numbers and their operations, which are crucial to all other fields of mathematics, is included in the field of arithmetic operations. Addition, subtraction, multiplication, and division are the four basic operations of these systems.

It is given that, A coffee business is owned by Beth. Every day, she consumes half a litre of mayonnaise. A 1-litre jar of mayonnaise costs £2.35, and a 2-litre container costs £4.65. Beth purchases 14 days' worth of mayonnaise.

We have to find the cheapest price Beth can get this mayo for,

0.5*14=7 litres for 2 weeks

The total cost to buy 7 litres is,

= 7 × 2.35

= 16.45

The cost of 7 litres with the 1-litre jars is £16.45

The total cost to buy 7 litres is,

= (4.65 × 3) + 2.35

= 16.30

Thus, the cheapest price Beth can buy this mayonnaise for £16.30.

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The graph of the function f(x) = (4/5)^(x) is decreasing.

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Answer:

20 Combos

Step-by-step explanation:

6C3 = 6! / ( 3! * 3!) = 20 COMBOS