Decide whether the equation has no solution, one solution, or infinitely many
solutions. Put an X in the appropriate box in the table.
Infinitely

The amount of bacteria that will be there in 100 milliliters of water will be: 1.5 × 10⁸.

A standard notation is a method of writing a given number, equation, or expression in a specific format that adheres to certain rules. 4.5 billion years, for example, is written as 4,500,000,000 years.

The main reason for converting numbers to scientific notation is to make calculations involving unusually large or small numbers easier.

Even though zeros are no longer always seemed to set the decimal point, all digits in a scientific notation number are significant.

Here, it is given that,

The number of bacteria found in  1 milliliter of water = 1,500,000.

So,

The number of bacteria in 100 milliliters of water = 1,500,000 x 100

The number of bacteria in 100 milliliters of water = 15,00,00,000

The number of bacteria in 100 milliliters of water = 1.5 × 10⁸.

Correct option: e

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Answer:

0.00000797

Step-by-step explanation:

The triangles are similar by Angle-Angle similarity since they are congruent.

According to the Angle-Angle Similarity Theorem, if two angles in one triangle are equal to two angles in another triangle, the triangles are similar. The triangles are similar if two pairs of corresponding angles in a pair of triangles are congruent. We know this because if two angle pairs are equal, then the third pair must be equal as well.

Two triangles with two angles, starting with Triangle 1, one measuring 47 degrees and the other measuring 53 degrees, are congruent to two angles in Triangle 2. Following the AA similarity theorem, it is assumed that Triangle 1 is similar to Triangle 2.

In this case, angle MNP = angle QPL (corresponding angles, //lines) (A)

angle QLP is common angle (A)

By AA, the 2 triangles are similar.

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The unit rate in acres of land planned by the workers per day is found is 16/35 acres.

For the mentioned question-

Total acres of land planted = 2/5 acres.

Total time taken = 7/8 days.

Thus, unit rate in acres per day = Total acres of land planted / Total time taken

unit rate in acres per day = (2/5) / (7/8)

unit rate in acres per day = (2*8)/(5*7)

unit rate in acres per day = 16/35

Thus, unit rate in acres of land planned by the workers per day is found is 16/35 acres.

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Answer:

7.5%

Step-by-step explanation:

a probability is always

desired cases / totally possible cases

the totally possible cases is everybody in the survey :

24+18+14+10+8+6 = 80

the desired cases are everybody having potatoes a favorite food : 6

the probability the picked person prefers potatoes is

6/80 = 3/40 = 0.075 = 7.5%

Answer:

Lateral Surface Area = 1848 m^2 (does not include the top and bottom)

Step-by-step explanation:

Vol Cylinder = pi*r^2 *h  

h = (3/2)r

Vol = pi*r^2((3/2)r)                     [We are told that the volume is 12,936 m^3]

pi*r^2((3/2)r) = 12,936 m^3  

pi*(3/2)*(r^3) = 12,936 m^3

pi*r^3 = (12,936 m^3)*(2/3)

pi*r^3 = 8,624 m

r^3 = (8,624 m)/(3.14)

r^3 = 2745.1

r = 14.0 m

Lateral Surface = 2*(pi)*r*h  [Lateral is just the curved portion of the right cylinder.

Lateral Surface Area = 2*(3.14)*(14.0)(21.0)

Lateral Surface Area = 1848 m^2

The equation of the line that passes through the point (1, 4) and has a slope of -2 is y = -2x + 6

What is slope-intercept form of a line?

The equation of the line in slope-intercept form is given by:

y = mx + c

Here,

(x, y) = Every point on the line

m = Slope of the line

c = y-intercept of the line

According to the given question:

The given line has slope m = -2 and point (1, 4) passes through the line.

By slope-intercept form general equation of line is y = mx + b where b is

y-intercept.

Substituting values of m and point (1, 4) in this equation to get value of b

y = mx + b

4 = -2(1) + b

b = 6

Hence equation of the line is y = -2x + 6

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Answer:

34 dollars and 6 cents

Step-by-step explanation:

1 percent = 0.26

0.26 x 31 = 8.06

26 + 8.06 = 34 dollars and 6 cents

I believe it is 34.06

A small change in x can change the conclusion of our test.

Given :

how would your conclusion change if your sample mean had been 1.355 mg/l.

t - test :

A t-test is a statistical test that compares the means of two samples. It is used in hypothesis testing, with a null hypothesis that the difference in group means is zero and an alternate hypothesis that the difference in group means is different from zero.

if x = 1.355

t = 1.355 - 1.3 / 0.18 / [tex]\sqrt{30}[/tex]

= 0.055 / 0.18 / [tex]\sqrt{30}[/tex]

= 0.055 * [tex]\sqrt{30}[/tex] / 0.18

= 1.67

df = n - 1

= 30 - 1

= 29

P - value from t table :

p = 0.525

fail to reject [tex]H_0[/tex]

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Full question :

The Environmental Protection Agency has determined that safe drinking water should contain no more than 1.3 mg/liter of copper. You are testing water from a new source, and take 30 water samples. The mean copper content in your samples is 1.36 mg/l and the standard deviation is 0.18 mg/l. There do not appear to be any outliers in your data .

how would your conclusion change if your sample mean had been 1.355 mg/l? what point does this make about statistical significance?

The coordinate (4, 3) is the solution of the following system of equations:

y = 1/2x + 1 and y = -x + 7

y = x - 1 and y = 1/4x + 2

The solution implies that the coordinate is the: point of intersection.

The solution to a system of equations are the coordinate of the point where the two lines that represent the equations of the system intersect each other. The coordinate of x and the coordinate of y, when plugged into  any of the equations would be true.

The graph of the system of equations, y = x - 1 and y = 1/4x + 2 shows that both equations intersect at the point with the coordinate (4, 3) [see the graph in figure 1].

Also, the graph in figure two shows that y = 1/2x + 1 and y = -x + 7 also intersect at (4, 3).

Therefore, we can state that, the system of equations with (4, 3) as the solution are:

y = 1/2x + 1 and y = -x + 7

y = x - 1 and y = 1/4x + 2

The solution means point of intersection.

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Answer:

In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.

Step-by-step explanation:

The dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend. This is because the dividend income is calculated by multiplying the number of shares that an investor owns by the amount of the dividend per share.

For example, if an investor owns W = 100 shares of XYZ stock and XYZ distributes a $Y = 5 per share dividend, then the investor's dividend income will be 100 * 5 = 500 dollars.

In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.

yes 38/53 is the simplest form

Step-by-step explanation:

The fraction is already reduced.

The correct statement regarding the linear function y = 3x + 5 is given as follows:

The line passes through the ordered pair (0,5) and has a slope of 3.

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

The slope and the intercept are given as follows:

In this problem, the function is defined as follows:

y = 3x + 5.

Hence the coefficients have the values given as follows:

m = 3, b = 5.

The statements are given by the image shown at the end of the answer.

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There is a dramatic change in desert temperatures from day to night because B. of the lack of water.

It should be noted that because the air in the desert is so dry, heat escapes quickly at night, the temperature can vary dramatically from day to night. The temperature during the day averages 38°C, while at night it can drop to -4°C in some deserts. The temperature varies greatly depending on where you are in the desert.

During the day, the sand's radiation from the sun's energy superheats the air, causing temperatures to rise. And, because the desert air is so dry, heat escapes quickly at night, according to NASA. The desert biomes are the driest of all biomes.

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Answer:117

Step-by-step explanation:

I’m good at math

Answer:

117 Roses

Step-by-step explanation:

234 *0.5 = 117

Answer:

2x2x2x3

Step-by-step explanation:

In the triangle EFG, ∠E≅∠G, GE = 17 units and FG = 10 units, then the length of the side EF is 10 units

The given triangle EFG

The length of the side GE = 17 units

The length of the side FG = 10 units

The measure of angle E is equal to the measure of angle G

The equation will be

∠E≅∠G

Therefore the triangle is Isosceles triangle

The length of the side FG will be equal to the length of the side FE

The length of the side EF = The length of the side FG = 10 units

Therefore, the length of the side EF is 10 units

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Answer:

Step-by-step explanation:

(5). ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )  

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~~

( 4 , 8 )

y = [tex]\frac{1}{7}[/tex] x - 5 ; slope m = [tex]\frac{1}{7}[/tex]

Slope of line ⊥ to the given line is opposite reciprocal to [tex]\frac{1}{7}[/tex] and equal to ( - 7)

y - 8 = - 7( x - 4 )

(6).  

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{ y_{2} -y_{1} }{ x_{2} -x_{1} }[/tex]

y = mx + b

~~~~~~~~~~~~

( 4 , 3 )

( 5 , 1 )

m = [tex]\frac{1-3}{5-4}[/tex] = - 2

y - 3 = - 2( x - 4 )

y = - 2x + 11

(7). y = - [tex]\frac{1}{2}[/tex] x + 2

The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)

We have to simplify the expression by multiplying the expression as,

=-4x²(x² - 2x + 2)+3x(x² - 2x + 2)+3(x² - 2x + 2)

=-4x⁴+8x³-8x²+3x³-6x²+6x+3x²-6x+6

= -4x⁴+11x³-5x²+6

Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

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The required given Co-ordinates are plotted in graph below.

The numbers on a direction lattice are utilized to find focuses. Each point can be recognized by an arranged sets of numbers; that is, a number on the x-axis  called a x-coordinate, and a number on the y-hub called a y-coordinate. Requested matches are written in enclosures (x-coordinate, y-coordinate).

Graph is characterized as to make an outline that shows a connection between at least two things. An illustration of diagram is to make a progression of bars on charting paper

coordinates plane so that the x-axis extends from -9 to 9 and the y-axis

extends from -6 to 6

Plotted points on the graph are shown in image below.

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Answer:

9 4/6

Step-by-step explanation:

5 + 4 = 9

1/6 + 3/6 = 4/6

9 4/6

Hope this helps! :)

Answer: x= (−∞,∞)

Step-by-step explanation:

3+8x+6 = 5(x+2) + 3x-1

9+ 8x = 5x +10 + 3x -1

9 + 8x = 8x +9

Subtract nine on both sides

8x= 8x

 x = Any number!

Answer:

Step-by-step explanation:

Answer:

Part A

7x² + 5xy – 3

Part B

2x² – 8xy + 8

Step-by-step explanation:

Part A

the canned food collected so far is the sum of the canned food the three friends have by combining the expression

5xy + 2 + 6x² – 5 + x²

= 6x² + x² + 5xy + 2 – 5

= 7x² + 5xy – 3

Part B

The total of cans the friend need to collect to meet their goal is the canned food collected so far minus their targeted goal

= 9x² – 3xy + 5 – (7x² + 5xy – 3)

= 9x² – 3xy + 5 – 7x² – 5xy + 3

= 9x² – 7x² – 3xy – 5xy + 5 + 3

= 2x² – 8xy + 8

i hope this helps

Answer:

Step-by-step explanation:

It is not a prime factorization because the term 8 is common multiplied by 2 and the line has 2 elevated to 3 that itselt is 8.

A prime factorization should be stay equal without any commom multiples.

The measure of the acute angles in the right triangle are 10 and 80 degrees.

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sides of a right angle triangle can be named base on the position of the angles. The sides includes hypotenuse side, opposite side and adjacent side.

The sum of angles in a right angle triangle is 180 degrees.  

The other measures of the right triangle are acute angles.

Any angle that measures greater than 0° and less than 90° is called an acute angle.

Hence, let's find the measure of the acute angles

let

x = measure of one acute angle

Hence,

x + 8x + 90 = 180

9x = 180 - 90

9x = 90

x = 90 / 9

x = 10

Therefore, the measure of the acute angles are 10 and 80 degrees.

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Answer:

a) 45

b) 54

Step-by-step explanation:

a) To be able to round up to the nearest 10, the number in the "ones column" needs to be 5 at the minimum.

You could argue it could be a decimal point however, you shouldn't really have a decimal of a bead ( it's possible but it over complicates the answer ) and, it's to the nearest 10, not nearest one decimal point for example.

Therefore, the min is 45 beads

b) ( The above poster was correct oops, I made a silly mistake )

The max is 54 beads as if anything in the ones column is under 4, you can't round up to the nearest 10. Hence it remains as 50 when rounding

Therefore, the max is 54 beads

The coordinates will be after applying the transformation, I(-5,0) --I'(0, -5), Y(0, 2) - -> Y'(2, 0) and T(4, 4) --> T'(4, 4).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The graph is shown in the picture.

From the picture the coordinates are:

I(-5,0), Y(0, 2), and T(4, 4)

The transformation rule:

(x, y) --> (y, x)

I(-5,0) --I'(0, -5)

Y(0, 2) - -> Y'(2, 0) and

T(4, 4) --> T'(4, 4)

Thus, the coordinates will be after applying the transformation, I(-5,0) --I'(0, -5), Y(0, 2) - -> Y'(2, 0) and T(4, 4) --> T'(4, 4).

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As domain x approaches positive infinity, S(x) approaches positive infinity. Option B is correct.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Given expression for the attendance of the student is,
S(x) = (x - 50)² + 19

The end behavior of their graph is given as after x = 50 the graph starts heigh increasing gradient and it keeps increasing, till x =  infinity, as shown in the graph.

Thus, the curve of the given equation S(x) will increase from x = 50 to x = ∞ .

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Answer:

Step-by-step explanation:

You want the steps involved in factoring 3x² +13x -10 by grouping.

To fill in the blanks, you need to know the product of the first and last coefficients, and the factor pairs of that product that have a sum equal to the middle coefficient.

   3(-10) = -30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)

The sums of these factor pairs are 29, 13, 7, 1. The sum of interest is ...

  -2 + 15 = 13

These are the values that go in the first pair of blanks.

  = 3x² -2 x + 15 x -10

We want to identify the common factor for each pair of terms:

  = x (3x -2) + 5 (3x -2)

Finally, the common factor (3x -2) is removed and we have ...

  = ( x + 5 )(3x -2)