PLS HELP!!
The tables show functions representing the growth of two types of bacteria on certain days within an experiment that lasted a total of 10 days.
How do the functions in the table compare?
Since x-intercepts indicate the amount of each
bacteria at the start of the experiment, there was
more of bacteria B than bacteria A at the start.
O Since y-intercepts indicate the amount of each
bacteria at the start of the experiment, there was
more of bacteria B than bacteria A at the start.
O Since the maximum value in the table for bacteria A
is greater than the maximum value in the table for
bacteria B, bacteria A has a faster growth rate than
bacteria B.
O Since the minimum value in the table for bacteria A
is less than the minimum value in the table for
bacteria B, bacteria A has a slower growth rate than
bacteria B

Answer:

-----------------------------------------------

Given polynomial

Factorize it as below:

4ab + 6bn - 2a - 3n​ =    

(4ab - 2a) + (6bn - 3n) =         Regroup        

2a(2b - 1) + 3n(2b - 1) =           Factorize each group using common factors

(2b - 1)(2a + 3n)                       Factorize using common factor

Answer:

[tex](2b-1)(2a+3n)[/tex]

Step-by-step explanation:

Given expression:

[tex]4ab+6bn-2a-3n[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 2b(2a+3n)-1(2a+3n)[/tex]

Factor out the common term (2a + 3n):

[tex]\implies (2b-1)(2a+3n)[/tex]

P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity , Option B is the correct answer.

A polynomial is an expression which consists of variables , Coefficient , indeterminate and mathematical operations.

The polynomial given has  lead term -x⁷

So when x --> ∞  , -x⁷---> - ∞

and when x ---> - ∞  , -x⁷ ---->  ∞

Similarly for the function P(x)

So when x --> ∞  , P(x)---> - ∞

and when x ---> - ∞  ,  P(x) ---->  ∞

P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity

Therefore Option B is the correct answer.

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Answer:

I think YZ 'cause the triangle is iscoceles triangle. As the two sides XY and XZ are equal the longest side is YZ.

It's the sum of a geometric sequence.

Let's rewrite it a bit:

[tex]\displaystyle\\\sum_{n=1}^{10}8\left(\dfrac{1}{4}\right)^{n-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot \left(\dfrac{1}{4}\right)^{-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot 4=32\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n[/tex]

And now let's calculate this sum [tex]\displaystyle \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n[/tex]:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}\\\\a=\dfrac{1}{4}\\n=10\\r=\dfrac{1}{4}\\\\S_{10}=\dfrac{\dfrac{1}{4}\cdot\left(1-\left(\dfrac{1}{4}\right)^{10}\right)}{1-\dfrac{1}{4}}=\dfrac{\dfrac{1}{4}\cdot\left(1-\dfrac{1}{1048576}\right)}{\dfrac{3}{4}}=\dfrac{\dfrac{1048575}{1048576}}{3}=\dfrac{1048575}{3145728}=\\=\dfrac{349525}{1048576}[/tex]

Now let's calculate the initial sum:

[tex]\displaystyle 32\cdot \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n=32\cdot \dfrac{349525}{1048576}=\dfrac{349525}{32768}\approx10.67[/tex]

Answer:

−135z

2

−2z
The 2 is representing Square

Step-by-step explanation:

(3z)
2

−4z+11−(12z)
2

+2z−11

Expand (3z)

2

.

3

2

z

2

−4z+11−(12z)

2

+2z−11

Calculate 3 to the power of 2 and get 9.

9z

2

−4z+11−(12z)

2

+2z−11

Expand (12z)

2

.

9z

2

−4z+11−12

2

z

2

+2z−11

Calculate 12 to the power of 2 and get 144.

9z

2

−4z+11−144z

2

+2z−11

Combine 9z

2

 and −144z

2

 to get −135z

2

.

−135z

2

−4z+11+2z−11

Combine −4z and 2z to get −2z.

−135z

2

−2z+11−11

Subtract 11 from 11 to get 0.

−135z

2

−2z

Answer:

D represents a difference of squares.

Answer: Choice [D] - [tex]\boldsymbol{81-49y^2}[/tex]

Step-by-step explanation:

Hii, do you need to know which expression represents a difference of squares? No problem! (:

   Let's consider it for a moment. The "difference of squares" means we subtract two numbers squared, like [tex]\boldsymbol{a^2-b^2}[/tex].

Now let's check our choices and see where we subtract two numbers squared.

The only choice like that is Choice [D] - [tex]\boldsymbol{81-49y^2}[/tex].

In choice A, we add 2 numbers; in choices B and C we don't subtract two numbers squared.

Voila! There's our solution, cheers! (:

--

Hope that this helped! Best wishes.

[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]

--

The average salary of sanitation workers in the city of Euonymus is overpaid from the one-tail test and the average salary of sanitation workers in the city of Euonymus is not 24230 from the two-tail test.

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

We have:

Average x = 24375

u = 24230

SD = 523

n = 105

Null hypothesis and alternative hypothesis for one-tail test:

H0: the average salary of sanitation workers in the city of Euonymus is not overpaid.

u = 24230

H1:  the average salary of sanitation workers in the city of Euonymus is overpaid.

u > 24230

Assume significance level = 0.05

From the Z-table:

Z(critical) = 1.645

Now,

Z = (x-u)/(SD/√n)

Z = (24375-24230)/(523/√105)

Z = 2.84

Z > Z(critical)

So, reject the null hypothesis.

The average salary of sanitation workers in the city of Euonymus is overpaid.

Now, from the two-tail test:

Null hypothesis and alternative hypothesis for one-tail test:

H0: the average salary of sanitation workers in the city of Euonymus is 24230

u = 24230

H1:  the average salary of sanitation workers in the city of Euonymus is not 24230

u ≠ 24230

Assume significance level = 0.05

From the Z-table for the two-tail test:

Z(critical) = ±1.96

Now,

Z = 2.84

Z > z(critical)

∴ The average salary of sanitation workers in the city of Euonymus is not 24230.

Thus, the average salary of sanitation workers in the city of Euonymus is overpaid from the one-tail test and the average salary of sanitation workers in the city of Euonymus is not 24230 from the two-tail test.

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Answer:

53 hours and 45 minutes

Step-by-step explanation:

since they open for 10 hours and 45 minutes a day.

10*5=50 hours, 45*5=225 minutes

add the minutes and hours together and it is 53 hours and 45 minutes

The fraction of the variability in fuel economy is accounted for by the engine size is 59.91%.

Given that, r= -0.774.

To solve such problems we must know about the fraction of the variability in data values or R-squared.

The fraction by which the variance of the dependent variable is greater than the variance of the errors is known as R-squared.

It is called so because it is the square of the correlation between the dependent and independent variables, which is commonly denoted by “r”  in a simple regression model.

Fraction of the variability in data values = (coefficient of correlation)²= r²

Now, the variability in fuel economy = r²= (-0.774)²

= 0.599076%= 59.91%

Hence, the fraction of the variability in fuel economy accounted for by the engine size is 59.91%.

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The time for the ball to pass the top of the building is determined as 4 s.

The time for the ball to pass the top of the building is obtained when the velocity of the ball is zero.

h = -16t² + 128t + 144

v = dh/dt

v = -32t + 128

at maximum height, v = 0

0 = -32t + 128

32t = 128

t = 128/32

t = 4 s

Thus, the time for the ball to pass the top of the building is determined as 4 s.

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After 8 seconds, the ball will pass the top of the building if the object is thrown upward from the top of a 144​-foot building with an initial velocity of 128 feet per second.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have:

An object is thrown upward from the top of a 144​-foot building with an initial velocity of 128 feet per second.

When the ball pass the top of the building, h = 144 foot

Plug h = 144 foot in h= -16t² + 128t + 144

144 = -16t² + 128t + 144

[tex]\rm -16t^2+128t=0[/tex]

t = 0 or t = 8 seconds

At t = 0, initially, the ball was thrown upward.

At t = 8 seconds, the ball passes the top of the building

Thus, after 8 seconds, the ball will pass the top of the building if the object is thrown upward from the top of a 144​-foot building with an initial velocity of 128 feet per second.

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Answer:

D.

Step-by-step explanation:

It contains all the y-values of the points.

Answer:

Coordinates of all points

first = (-1 , 3)

second = (-2, 1 )

third = (-3 , -3)

fourth = (-4 , -5)

option 3

Answer:

E = [1,2,3,4,5,6,7,8,9,10,11,12]

S = [4,9]

E = [2,4,6,8,10,12]

The number that satisfies both conditions S and E is [4]

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

The numbers in the Venn diagram are given,

S          S∩E         E

1,9          4          2, 6, 8, 10, 12

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

&= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

S = square numbers

This means,

1² = 1

2² = 4

3² = 9

S = {1, 4, 9}

E = even numbers

This means,

E = {2, 4, 6, 8, 10, 12}

Now,

S ∩ E = Numbers that are even and square.

S ∩ E = {4}

Thus,

The numbers in the Venn diagram are given,

S          S∩E         E

1,9          4          2, 6, 8, 10, 12

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Answer:

See below

Step-by-step explanation:

She combined 3x and - 9x   incorrectly

  she should have gotten  - 6 x       not  - 12 x

Answer:

10000×(1+5%)^(15×2)=43219.4238

The equation of the circle is [tex](x-8)^2 + (y-6)^2 = 25[/tex].

The simplified expressions are

1.  990√2

2.  80 √3

3. 30- √35 / √42

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

(11 √40) (9 √5)

= 11*9* √40*√5

= 99*√200

= 99* 10√2

= 990√2

(2 √6) (10 √8)

= 2*10 *  √6 * √8

=20*  √48

= 20* 4 √3

= 80 √3

5 √6 ÷ √7 - √5 ÷ √6

=30- √35 / √42

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Answer:

Step-by-step explanation:

current total of hours work earnings (7hrs): $140

total earnings: $980 per week

49 hours work per week (no overtime)

immagine you're working another 4 hours for overtime payment everyday:
current total of hours work earnings (11hrs): $280 including 4 hours overtime ($120)

total working hours: 77 hours per week

total earnings: $1,960 per week

The surface area of the square pyramid will be 78.08 square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

Given that:-

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base is 6.4 inches. The surface area will be.

The surface area of the square pyramid will be calculated by the formula:-

[tex]SA = P\times\dfrac{l}{2}[/tex]

[tex]SA = 25.6\times \dfrac{6.1}{2}[/tex]

SA = 78.08 square inches

Therefore the surface area of the square pyramid will be 78.08 square inches.

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Answer:

8,957,172 people

Explanation:

Population = 1,218 people per square mile

Land area of New Jersey = 7,354 square miles

Total population:

people living in per square mile × total land area

1,218 × 7,354

8,957,172

Answer: [tex]\frac{\sqrt{113}}{7}[/tex]

Step-by-step explanation:

As X is an acute angle, all 6 trigonometric functions with an argument of X are positive.

Using the identity [tex]1+\tan^{2} X=\sec^{2} X[/tex],

[tex]1+\left(\frac{8}{7} \right)^{2}=\sec^{2} X\\\\\sec^{2} X=\frac{113}{49}\\\\\therefore \sec X=\boxed{\frac{\sqrt{113}}{7}}[/tex]

Answer:

x f(x)

0 0

-2 -4

4 -2

You need to draw y = 2 f (x-1)

So you need to choose x so that x-1 = 0, -2, 4 then you can use the above values

New function

x-1 = 0, x = 1, y = 2 f (x-1) = 2 f(0) = 2 x 0 = 0

x-1 = -2 x = -1 y = 2 f (x-1) = 2 f(-2) = 2 x -4 = -8

x-1 = 4 x = 5 y = 2 f (x-1) = 2 f (4) = 2 x -2 = -4

So 3 points on the new graph are (1, 0) (-1, -8) and (5, -4)

Basically going from y = f(x) to y = f(x-a) where a is a constant positive number you translate (move) y = f(x) a units to the right.

y = f(x) to y = 2 f(x), you dilate f(x) with center (0,0) factor 2, so (a,b) > (2a, 2b)

So basically here you are doing both things.

So if (a,b) is on y = f(x) then after the translation (a,b) > (a+1, b) then after the dilation (a+1,b) > (2a+2, 2b)

Our graph for A was the same, but my B was a bit different. I hope this helps regardless. :)

The Gross pay which Derek gets is 690 dollars.

Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages. The amount remaining after all withholdings are accounted for is net pay or take-home pay.

Here, Total hours worked by Derek = 43 hours

Rate of pay = $15 per hour

Rate of pay beyond 40 hours = $30 per hour

Now,

Rate of pay for the first 40 hours = 40 X 15 = $ 600

Since the pay rate doubles after 40 hours,

Rate of pay for the remaining 3 hours = 3 X 30 = $ 90

Gross Pay = 600 + 90 = $ 690

Thus, the Gross pay which Derek gets is 690 dollars.

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Answer: .00006kg

Step-by-step explanation:

The mean and the standard deviation are 233 and 208.95 respectively.

The mean of a distribution is its average, while the standard deviation is the summary of how far each data in the dataset, is to the mean.

First, we calculate the class midpoint (x) from the given intervals.

The class midpoint is the average of the intervals. So, we have:

X1 = (0+199)/2 = 99.5

X2 = (200+399)/2 = 299.5

X3 = (400+599)/2 = 499.5

X4 = (600+799)/2 = 699.5

X5 = (800+999)/2 = 899.5

X6 = (1000+1199)/2 = 1099.5

X7 = (1200+1399)/2 = 1299.5

So, the table becomes:

X values Frequency (f)

99.5 345

299.5 97

499.5 52

699.5 21

899.5 9

1099.5 8

1299.5 3

The mean of the distribution is:

This gives:

Mean = (99.5*345)+(299.5*97)+(499.5*52)+(699.5*21)+(899.5*9)+(1099.5*8)+(1299.5*3)/(345+97+52+21+9+8+3)

Mean = 124832.5/535 = 233

Therefore, Mean = 233

The standard deviation is calculated as follows:

So, we have:

Б =

√(99.5*(345-233)²+((299.5-233)² * 97)+((499.5-233)² * 52)+((699.5-233)² * 21)+((899.5-233)² * 9)+((1099.5-233)² * 8)+((1299.5- 233)² * 3)/ (345+97+52+21+9+8+3)

Standard Deviation = √(23357155.5)/535

        = √43658.23

        = 208.95

Б = 208.95

Hence, the mean and the standard deviation are 233 and 208.95 respectively.

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Answer:

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

The function is f(x) = log(x - 5).

A line or curve that acts as the limit of another line or curve.

The complete question is

Which function has an asymptote at x = 5 and an x-intercept of (6,0)? a. f(x) = log(x − 5) b. f(x) = log(x 5) c. f(x) = log x − 5 d. f(x) = log x 5

let us take,

f(x) = log(x - 5)

y = 0, then

0 = log(x-5)

x - 5 = [tex]e^{0}[/tex]

x - 5 = 1

x = 6

So, it can be conclude that the x-intercept is at (6, 0)

Hence, the function is f(x) = log(x - 5).

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Answer:

  (b)  median

Step-by-step explanation:

A box-plot is a graphical representation of the 5-number summary of a data set. It includes the minimum, maximum, median, and 1st and 3rd quartiles.

__

The measure of center shown in a box plot is the median.