Ms. Dawson's call did a science experiment. The class started out with 635 bacteria cells. The growth rate
predicted was 5.15%. Sketch the graph that represents the situation. Label the y-intercept and the point that
represents the projected bacteria population 23 h from the start of the experiment. Be sure to show your work
on how you obtained your second value. Round to the nearest whole number.

Answer: If the X is a multiplication symbol then it would be 75

Step-by-step explanation:

10(3^2)−(3)(3)−6

=(10)(9)−(3)(3)−6

=90−(3)(3)−6

=90−9−6

=81−6

=75

Answer:

100x2/3-3x/3-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

if Cameron can read 22 pages in 14 min then take 42 min divided by 14 min and get 3 then take 3 times the number of pages 22 so you will get 22x3 equals 66 pages

Dimension of the extended stage is; length = 6 m and width = 2x m

Area of the rectangular outdoor = length x width

New area = area of the outdoor + area of the extended stage

              = 216 + 12x

               = 6(36 + 2x)

New area = 6 (36 + 2x)

So that;

The dimension of the rectangular outdoor = 36 x 6

i.e length = 36 m and width = 6 m

So that the dimension of the extended stage = length x width

                                    = (6 x 2x) m

i.e length = 6 m and width = 2x m

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The length of TU is 8, WU is 10, TX is √39 and TV is 2√39. The solution is obtained using the properties of rhombus.

What is a rhombus?

A parallelogram has a unique variation known as a rhombus. A rhombus has opposing sides that are parallel and opposing angles that are equal.

The given figure TUVW is a rhombus.

We know that the diagonals of a rhombus always bisect each other perpendicularly which means at an angle of 90°.

Since, the diagonals bisect each other, therefore

WX=XU

We are given WX = 5 so, XU = 5

Thus, WU = WX + XU

WU = 5 + 5

WU = 10

In a rhombus, all the sides are equal, therefore,

UV = VX = WT = TU = 8

Since, the diagonals bisect each other perpendicularly, therefore, we have four right angled triangles.

Using pythagoras theorem in triangle UXV, we get

⇒UX^2 + XV^2 = UV^2

⇒5^2 + XV^2 = 8^2

⇒XV^2 = 8^2 - 5^2

⇒XV^2 = 64 - 25

⇒XV^2 = 39

⇒XV = √39

So, TX = √39

TV = TX + XV = √39 + √39 = 2√39

Hence, the length of TU is 8, WU is 10, TX is √39 and TV is 2√39.

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The end with [tex]17\frac{4}{7}[/tex] will have a closed circle representing greater than or equal to and there will be an arrow on the other side representing continous.

A number line is a depiction of a graded straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

To represent an inequality on a number line, such as x>3, first draw a circle around the number (e.g., 3). Fill in the circle if the sign also says equal to (or ). Leave the circle blank if the sign doesn't contain equal to (> or ).

The inequality is

-21 ≤ 7x - 144

⇒ 7x≥ 144 - 21

⇒ x ≥ 123/7

⇒ x ≥ [tex]17\frac{4}{7}[/tex]

The plot on number line will be that the number will start start at x = [tex]17\frac{4}{7}[/tex] and continue on the positive side.

The end with [tex]17\frac{4}{7}[/tex] will have a closed circle representing greater than or equal to and there will be an arrow on the other side representing continous.

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Answer: The measure of A is 59

The areas of the composite figures are 36 square units, 27 square units, 66 square units, 32+2π square units and 68 square units  respectively.

What are composite figures?

A composite figure is a shape that is produced from two or more fundamental shapes. Composite figures are also referred to as compound and complex shapes frequently.

Figure 1

This figure can be broken into two rectangles.

First rectangle with length 5 and width 4.

Second rectangle with length 8 and width 2 (as 6-4 is 2).

Area of rectangle= length*width

So, area of first rectangle= 5*4= 20 square units

Area of second rectangle= 8*2= 16 square units

Thus,

Area of figure= 20+16= 36 square units

Figure 2

This figure can be broken into two rectangles.

First rectangle with length 7 and width 3(as 6-3 is 3).

Second rectangle with length 2 and width 3.

Area of rectangle= length*width

So, area of first rectangle= 7*3= 21 square units

Area of second rectangle= 2*3= 6 square units

Thus,

Area of figure= 21+6= 27 square units

Figure 3

This figure can be broken into two rectangles.

First rectangle with length 12 and width 5.

Second rectangle with length 3 and width 2(as 12-(6+4) is 2).

Area of rectangle= length*width

So, area of first rectangle= 12*5= 60 square units

Area of second rectangle= 3*2= 6 square units

Thus,

Area of figure= 60+6= 66 square units

Figure 4

This figure can be broken into a rectangle and a semicircle.

Rectangle with length 8 and width 4.

Semi-circle with radius 2 ( as diameter is 4).

Area of rectangle= length*width

So, area of rectangle= 8*4= 32 square units

Area of semi-circle= 1/2πr^2

So, area of semi-circle= 1/2π(2)^2= 2π square units

Thus,

Area of figure= 32+2π square units

Figure 5

This figure can be broken into a rectangle and two squares.

Rectangle with length 10 and width 6(as 8-2 is 6).

Both squares with side 2.

Area of rectangle= length*width

So, area of rectangle= 10*6= 60 square units

Area of square= side^2

So, area of first square= 2^2= 4 square units

area of second square= 2^2= 4 square units

Thus,

Area of figure= 60+4+4= 68 square units

Hence, the areas of the composite figures are 36 square units, 27 square units, 66 square units, 32+2π square units and 68 square units  respectively.

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The equation of the regression line is y = -0.43x + 63.27

To determine the equation of the regression line, we make use of a graphing calculator with the following summary:

The regression equation is represented as

ŷ = bX + a

So, we have

b = SP/SSX = -347.33/807.33 = -0.43022

a = MY - bMX = 35.17 - (-0.43*65.33) = 63.27457

This gives

ŷ = -0.43022X + 63.27457

Approximate

y = -0.43x + 63.27

When x = 65, we have

y = -0.43 * 65 + 63.27 = 35.32

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Answer:

-7, -6, -5, -4

Step-by-step explanation:

-7 + (- 6) = -13

-5 + (- 4) = -9

-13 + (- 9)  = -22

Answer:

Lets plug them in!

9, -3

9 is x

-3 is y

-3 = -9 + 6

-9 + 6 = -3

-3 = -3 okay so far this is looking good! Its a solution to the first one

9 - 3(-3) = 18

9 + 9 = 18

18 = 18

Its this one :)

Step-by-step explanation:

The only point that is a solution to the system of linear equations is; (1, 3).

An equation is an expression that shows the relationship between two or more numbers and variables.

Starting with the first point (9, -3),

y = -x + 6

y = -x + 6

The answer (9, -3) cannot be used.

The point (6,1) now:

y = -x + 6

1 = -6 + 6

Since this is untrue, the answer (6, 1) cannot be used.

The points (1,3) now:

y = -x + 6

3 = -1 + 6

Now we have

6x - 3y = 18

6(1) - 3(3) = 0

Since this is untrue, the (1, 3) cannot be used.

The point (-1, 6) last.

y = -x + 6

6 = 1 + 6

Now we have

6x - 3y = 18

6(-1) - 3(6) = -30

As a result, there is only one point that can be used to solve the system of linear equations: (1, 3).

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Answer:

3 yd

Step-by-step explanation:

(108 in)(1 yd/36 in) = 3 yd

Answer:

X = 16

Step-by-step explanation:

Hi again.

To solve this equation, use the logarithm property of equality to rewrite log7 (3x + 1) = 2 as 3x + 1 = 7^2.

We can then solve for x by subtracting 1 from both sides, giving us 3x = 7^2 - 1, then dividing both sides by 3 to get x = (7^2 - 1)/3.

Therefore, the solution is x = (7^2 - 1)/3.

So now, x will be 16.

Hope that can help :)

A Function in Reverse.In this case, we can state that the function f is the inverse of g and g is the inverse of f. = x for every x in the domain of f.

A Function in Reverse.In this case, we can state that the function f is the inverse of g and g is the inverse of f. = x for every x in the domain of f.

When determining the inverse of a function, we write down the function y as a function of x, i.e., y = f(x), and then solve for x as a function of y.(f∘f−1)(x)=(f−1∘f)(x)=x.

The function and its inverse are composed of x as well, but only on an interval, if the domain or range of f(x) is constrained.

If f(x) and g(x) are two functions which are Inverses of each other then either of two will be true.

→fog(x)=x

= 1/ (5 + 1/x)

1/1/x

=x

→ gof (x)=x

⇒fog(x)

=f[g(x)]

→ gof (x)

=g[f(x)]

g (1/x - 5)

= 5 + x -5

= x

Which shows that f(x)  and g(x) are inverses of each other.

→Domain of f(x)= All Real numbers excluding 5=R-{5}

→Domain of g(x)=All Real numbers  excluding 0=R-{0}

→Domain of fog(x)=All Real numbers

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The number of trucks that will be created by the paper depot to deliver 774 cases of toilet paper if each truck loads 18 cases is 43 trucks.

Number of toilet paper a paper depot is delivering = 774 cases

Number of cases a truck will load = 18 cases

Number of trucks that will be created = Number of toilet paper a paper depot is delivering ÷ Number of cases a truck will load

= 774 cases / 18 cases

= 43 trucks

Therefore, 43 trucks are needed by the paper depot to deliver 774 cases of toilet paper at 18 cases per truck.

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Answer:

a=60

Step-by-step explanation:

add 2a+3a+a

6a

set that equal to 360

divide both sides by 6

Answer:

18

40

41

do the operations in parentheses first according to pemdas.

The  function that is periodic is function with option C: correct option is C.

A function is called periodic function if it repeats the values in regular intervals or periods.

From the given graph it is clear that the function is not repainting its values from -6 to 6. It means the function is not periodic.

From the given graph it is also noticed that the amplitudes of the functions are not same, therefore the function is not periodic.

Therefore correct option is C.

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Answer: 2.5 meters

Step-by-step explanation:

If Earl runs 75 meters in 30 seconds

75 meters ÷ 30 seconds = 2.5 meters per second

Answer:

1/40

Step-by-step explanation:

the difference between each denominator is 7 so continue this

12-5=7

19-12=7

26-19=7

33-26=7

x-33=7

x=33+7=40

Answer:

1/40, 33+7=40

1/47, 40+7=47

1/54,

1/61,

1/68

because each denominator is incresing by 7 so you have to add 7 to.the denominator keeping the nominator

The probability of choosing a boy from the eighth-grade class is 19/40 (19 boys out of 40 students).

Probability is the measure of how likely an event is to occur. It is expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. Probability theory is used to study random phenomena, such as the outcome of a coin toss or the results of an election. It is also used to make predictions about the future, such as whether it will rain tomorrow.

The probability of choosing a student selected for the AP math class is 13/40 (6 girls and 7 boys selected for the AP math class).

Therefore, the probability of choosing a boy or a student selected for the AP math class is 32/40 (19 boys plus 13 students selected for the AP math class out of 40 students).

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This is an inequality in the standard form of "ax + b > c" where a, b, and c are constants. In this case, a = 1.70, b = 41.70, and c = 153.90.

To solve this inequality, we need to get x alone on one side of the inequality. We can do this by subtracting 41.70 from both sides, which gives us:

1.70x > 112.20

Then we can divide both sides by 1.70, to get:

x > 66.12

So the solution set to this inequality is all the values of x that are greater than 66.12. This can be written as x > 66.12.

It's important to note that this inequality means that x can be any number greater than 66.12 (66.12 is not included in the solution set)

I hope this helps :)

Answer: C

Step-by-step explanation: The arrow points back to the 6 therefore 6 - 6

2nd one

it should first show the pages she read then the time it took to read.

The distance formula is a mathematical equation used to calculate the distance between two points.

Distance is the measure of length between two points. It is the length of the path between the two points, usually measured in meters, kilometers, miles, or the like. Distance can be measured in time, such as in walking or running, or in terms of space, such as in astronomy or geography. Distance is often used to measure the difference between two places, objects, or people. Distance can also be used to measure changes in position, direction, and speed.

It is a simple equation that takes the coordinates of two points and finds the straight line distance between them. To find the distance between two points on a graph, simply use the distance formula.

Let's say that the two points are (x1, y1) and (x2, y2). The distance formula is:

Distance = √[(x2 - x1)2 + (y2 - y1)2]

For example, let's say point one is (3, 4) and point two is (6, 8). Using the distance formula, we can find the distance between the two points by plugging in the values:

Distance = √[(6 - 3)2 + (8 - 4)2]

Distance = √[32 + 42]

Distance = √[25 + 16]

Distance = √41

Distance = 6.4

So the distance between the two points is 6.4 units. This is the length of the line segment that connects the two points.

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Answer:

Step-by-step explanation:

h(-6) is the same as saying when t=-6

so for this question, every time you see t you plug in -6 instead

so h(t)=6t-6

h(-6)=6(-6)-6

=-36-6=-42

Therefore, h(-6)=-42

The value of 'a' in each parallelogram are,

1) a = 38

2) a = 15

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We know that;

In a parallelogram; the opposite angles are equal to each other.

So, By first figure;

We get;

⇒ 3a° = 114°

⇒ a = 114 / 3

⇒ a = 38

And, For second figure;

We get;

⇒ 40° = (3a - 5)°

Solve for a;

⇒ 40 = 3a - 5

⇒ 40 + 5 = 3a

⇒ 45 = 3a

⇒ 3a = 45

⇒ a = 45/3

⇒ a = 15

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The quadrilateral ABCD's sides add up to (AB + BC + CD + DA), which is its total. The perimeter is (8 + 5 + 13 + 10) cm, which we obtain because we have all the values for the sides.

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Each book weighs 1.6 pounds, if a stack of 6 books weighs 9.6 pounds and all books weight is equal.

The force exerted on an object by gravity is referred to as the weight of an object in science and engineering.

Some common textbooks define weight as a vector quantity, or the gravitational force acting on the object. Others refer to weight as a scalar quantity, or the strength of the gravitational pull. Others define it as the strength of the force applied to a body by mechanisms that counteract the effects of gravity: the weight is the unit of measurement.

So, the weight would be 0 when in free fall. Terrestrial objects are capable of having no weight in this sense. For example, by ignoring air resistance, the famous apple that fell from the tree and collided with the ground near Isaac Newton would have no weight.

If all book weighs equally then each book weighs

9.6/6

= 1.6 pounds

Thus, each book weighs 1.6 pounds, if a stack of 6 books weighs 9.6 pounds and all books weighs equal.

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We can conclude that -

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given are two functions as given in question.

[ 1 ] -

We can write the net change in the value as -

Δf(t) = {f(2 + h) - f(2)}

Δf(t) = {5(2 + h)² - 5(2)²}

Δf(t) = 5(4 + h² + 4h) - 5(4)

Δf(t) = 5{h² + 4h}

[ 2 ] -

f(t) = 5t²

t = (2)   to   t = (2 + h)

Now, for the given intervals, we can write the average rate of change

as -

{r} = Δf(t)/Δt

{r} = {f(2 + h) - f(2)}/{2 + h - 2}

{r} = {5(2 + h)² - 5(2)²}/{h}

{r} = {5(4 + h² + 4h) - 5(4)}/{h}

{r} = 5{(4 + h² + 4h) - 4}/{h}

{r} = 5{h² + 4h}/{h}

{r} = 5h(h + 4)/h

{r} = 5(h + 4)

Therefore, we can conclude that -

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Answer: c

Step-by-step explanation: