A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 200 bacteria that grow at a rate of 2% per hour. He will check on the bacteria every 7 hours. How many bacteria will he find in 7 hours? Round your answer to the nearest whole number.

Answer:

k=2

Step-by-step explanation:

6(7k-10)=24

6(7k-10)/6=24/6

7k-10=4

7k-10+10=4+10

7k=14

7k/7=14/7

k=2

Check:

6(7k-10)=24

6(7(2)-10)=24

6(14-10)=24

6(4)=24

24=24

Solution works

Answer:

k=2

Step-by-step explanation:

Sorry if it looks bad I did it in the car xd. You would multiple 6 with 7 and you would get 42 then you would multiply 6 with -10 and you would get -60 then you'd bring down the = 24 and it would look like 42k-60=24 then add 60 to 24 and you'd get 84 then you'd divide 84 by 42 and get 2 so then you would get k=2

When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation

To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.

The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.

In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':

2a + c = 162.97

Rearrange the equation to isolate 'c':

c = 162.97 - 2a

Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.

For example, let's say we choose 'a' = 10:

c = 162.97 - 2(10)

c = 162.97 - 20

c = 142.97

So, when 'a' is 10, 'c' is approximately 142.97.

You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.

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Answer:

The distance in units would be -8, -3.

Step-by-step explanation:

Step-by-step explanation:

To solve for the x-intercept, set y=0 then solve for x.

y=−3x−9. 0=−3x−9. 3x=−9.

x=−3 when y=0.

To solve for the y-intercept, set x=0 then solve for y.

y=−3x−9. y=−3(0)−9. y=−9 when x=0.

Hi there!

Y-intercept:

Set the x value to 0:

y = 3(0) + 9

y = 9 --> (0, 9)

X-intercept:

Set the y value to 0:

0 = 3x + 9

Solve for x:

-9 = 3x

x = -3 --> (-3, 0)

There are 3 types of income.

1) Earned income

2) Portfolio income

3) Passive income

Income can be defined as  the consumption and saving opportunity gained by an entity within a specified timeframe, which is generally expressed in monetary terms. Income is difficult to define conceptually and the definition may be different across fields.

here, we have,

Earned income meaning is the type of  income earned after exerting time and effort in you part. in which , Salary is an earned income. If you stop working, you'll stop having an earned income. The more time spent working, the more income you generate (overtime pay).

Portfolio income can b e stated as better identified as capital gains. This is earned when you sell an asset at a higher price than when you bought it. The difference from the selling price and its cost is the portfolio income. Your portfolio may include stocks, real estate properties, and other assets (antiques, cars).

Passive income is income generated without exerting effort from you. This income is generated from you bought or existing assets. Rental income is an example of this. You will always receive rent from you own real estate property.

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Answer:

Width = 3x^2 + 5

Step-by-step explanation:

Area = Length*Width

(6x^2+10)=2*Width     Divide both sides by 2

3x^2+5 = Width

Answer:

3x^2 +5

Step-by-step explanation:

Take the pink area 6x^2 and divide by 2

6x^2/2 = 3x^2

Take the blue area and divide by 2

10/2 = 5

Add them together to find the width

The width is 3x^2 +5

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments

Degree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45

Mean squares between groups is calculated as follows:

Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58

Mean squares within groups is calculated as follows:

Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places

F ratio is calculated as follows:

F= Mean squares between groups/Mean squares within groups

= 58/8.89

= 6.524184477

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Answer:

give me tha answer please

To find out how many flowers will be in each centerpiece, we can divide the total number of flowers by the number of centerpieces:

Total number of flowers: 1,064

Number of centerpieces: 28

Number of flowers in each centerpiece = Total number of flowers / Number of centerpieces

Number of flowers in each centerpiece = 1,064 / 28 = 38

Therefore, there will be 38 flowers in each centerpiece.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: 38

Step-by-step explanation:

The question is asking you to divided.

1064 divided by 28 = 38

So there will be 38 flowers in each centerpiece

Answer:

SAS

Step-by-step explanation:

Side angle side Test

2 sides are given equal and angle between these two side is equal in both triangle

hence by SAS test

Triangle ABC and EBD are congruent

Resolviendo un par de ecuaciones lineales veremos que pedro tiene 400 pesos.

Sabemos que:

María tiene 900 pesos.

Juan tiene el doble de la tercera parte de María, entonces:

J = (2/3)*$900 = $600

Juan tiene 600 pesos.

Finalmente, sabemos que la suma del dinero de Pedro y Juan es de $1,000 pesos, entonces tenemos que resolver la ecuación lineal:

P + J = $1,000

P + $600 = $1,000

P = $1,000 - $600 = $400

Pedro tiene 400 pesos.

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Answer:

Step-by-step explanation:

STEP

1

:

           10

Simplify   ——

           x

Equation at the end of step

1

:

                       10

 ((((x4)-(5•(x2)))-6x)-——)-3

                       x

STEP

2

:

Equation at the end of step

2

:

                           10    

 ((((x4) -  5x2) -  6x) -  ——) -  3

                           x      

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  x  as the denominator :

                     x4 - 5x2 - 6x     (x4 - 5x2 - 6x) • x

    x4 - 5x2 - 6x =  —————————————  =  ———————————————————

                           1                    x        

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  x4 - 5x2 - 6x  =   x • (x3 - 5x - 6)

Polynomial Roots Calculator :

4.2    Find roots (zeroes) of :       F(x) = x3 - 5x - 6

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -6.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,6

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -2.00    

     -2       1        -2.00        -4.00    

     -3       1        -3.00        -18.00    

     -6       1        -6.00        -192.00    

     1       1        1.00        -10.00    

     2       1        2.00        -8.00    

     3       1        3.00        6.00    

     6       1        6.00        180.00    

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

4.3       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (x3-5x-6) • x - (10)     x5 - 5x3 - 6x2 - 10

————————————————————————  =  ———————————————————

           x                          x        

Equation at the end of step

4

:

 (x5 - 5x3 - 6x2 - 10)    

 ————————————————————— -  3

           x              

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  x  as the denominator :

        3     3 • x

   3 =  —  =  —————

        1       x  

Checking for a perfect cube :

5.2    x5 - 5x3 - 6x2 - 10  is not a perfect cube

Trying to factor by pulling out :

5.3      Factoring:  x5 - 5x3 - 6x2 - 10

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -6x2 - 10

Group 2:  x5 - 5x3

Pull out from each group separately :

Group 1:   (3x2 + 5) • (-2)

Group 2:   (x2 - 5) • (x3)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

5.4    Find roots (zeroes) of :       F(x) = x5 - 5x3 - 6x2 - 10

    See theory in step 4.2

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -10.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,5 ,10

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -12.00    

     -2       1        -2.00        -26.00    

     -5       1        -5.00       -2660.00    

     -10       1       -10.00       -95610.00    

     1       1        1.00        -20.00    

     2       1        2.00        -42.00    

     5       1        5.00        2340.00    

     10       1        10.00       94390.00    

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

5.5       Adding up the two equivalent fractions

(x5-5x3-6x2-10) - (3 • x)      x5 - 5x3 - 6x2 - 3x - 10

—————————————————————————  =  ————————————————————————

            x                            x            

Polynomial Roots Calculator :

5.6    Find roots (zeroes) of :       F(x) = x5 - 5x3 - 6x2 - 3x - 10

    See theory in step 4.2

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -10.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,5 ,10

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -9.00    

     -2       1        -2.00        -20.00    

     -5       1        -5.00       -2645.00    

     -10       1       -10.00       -95580.00    

     1       1        1.00        -23.00    

     2       1        2.00        -48.00    

     5       1        5.00        2325.00    

     10       1        10.00       94360.00    

Polynomial Roots Calculator found no rational roots

Final result :

 x5 - 5x3 - 6x2 - 3x - 10

 ————————————————————————

            x            

Answer:

It's A

Step-by-step explanation:

4^2 = 16 times 1/3 equal 16/3

Answer:

x=25

Step-by-step explanation:

2x-14=36

2x=50

x=25

The area of the given figure is 133 m²

Given is quadrilateral with sides 17m and 9.5m with height of 14m we need to find its area,

The given quadrilateral is a parallelogram, we know that area of the parallelogram is = base x height

Therefore,

The area of the given figure = 9.5 x 14 = 133

Hence, the area of the given figure is 133 m²

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Answer:

  T〈-7,0〉

Step-by-step explanation:

You want a description of the transformation of triangle ABC to triangle A"B"C".

∆A"B"C" has the same orientation as ∆ABC, so no reflection is involved (eliminates choice B).

Point A" is 7 units to the left of point A, so the translation is 7 units left (and no units up or down).

The transformation is ...

  \(\boxed{T_{\langle-7,0\rangle}}\)

Answer:

Ask your guidance counselor or a college admissions counselor

Step-by-step explanation:

The coordinates of point B are (4, 0)

From the question, we have the following parameters that can be used in our computation:

A = (6, 10)

Midpoint = (5, 5)

The midpoint of a line from its endpoints is calculated using the following equation

Midpoint  = (x₂ + x₁)/2 + (y₂ + y₁)/2

Substitute the known values in the above equation, so, we have the following representation

(5, 5) = (6 + x₁)/2 + (10 + y₁)/2

Multiply by 2

(10, 10) = (6 + x₁) + (10 + y₁)

By comparison, we have

x + 6 = 10

y + 10 = 10

Evaluate

x = 4

y - 0

Hence, the point is (4, 0)

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Answer:

1.) 3a

([i couldnt figure out the second one im sorry :(

Step-by-step explanation:

Simplify

\( \frac{a^{2} }{a}\)

\(1.1 \: a^{2} divided \: by \: a^{1} =a^{2 - 1} = a^{1} = a\)

\(3 \times a \: = 3a\)

Answer:

Since f(-1) = 0 and f(-2) = 0, we can set up two equations:

(-1)³ + p(-1)² - q(-1) - 4 = 0

(-2)³ + p(-2)² - q(-2) - 4 = 0

Simplifying each equation, we get:

-1 + p - q - 4 = 0

-8 + 4p - 2q - 4 = 0

Simplifying further, we get:

p - q = 5

2p - q = 6

Solving for p and q, we can add the two equations together to eliminate q:

p - q + 2p - q = 5 + 6

3p - 2q = 11

Then, we can substitute the value of q from the first equation into this equation to solve for p:

3p - 2(q + 5) = 11

3p - 2q - 10 = 11

3p - 2q = 21

3p - 2(5 + p) = 21

p - 10 = 7

p = 17

Substituting this value of p into either equation for q, we get:

q = p - 5 = 12

Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:

-1 | 1 17 -12 -4

|__ -1 -16 28

1 1 12

This gives us the factorization:

f(x) = (x + 1)(x² + x + 12)

To find the solutions, we can use the quadratic formula on the quadratic factor:

x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)

x = (-1 ± sqrt(1 - 48)) / 2

x = (-1 ± sqrt(-47)) / 2

x1 = (-1 + i(sqrt(47))) / 2

x2 = (-1 - i(sqrt(47))) / 2

Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.

Step-by-step explanation:

give me thanks for more! your welcome bud!

Considering the straight line, which is the diagonal line from 1000 at 12 am going to 400 at 8 am, we can create an equation describing this line. We let be the point 12 am as zero since at 24 H time, 12 am is considered as 0:00. We have two points. (0,1000) and (8,400). We can solve for the slope of the line. We have

We use the slope-intercept form of the equation to create an equation of the line describing the decrease of the people online at 12 am - 8 am. We already solve m. In this case, I will use the point (0, 1000). We have

Hence, the equation of the line is

Let's check the number of people at 7:15 AM, which is written in decimal form as 7.25. and also for 7:30 AM, which is written in decimal form as 7.50. We have the following:

There are approximately 456 people online at 7:15 AM and 438 people online at 7:30 AM.

Upon looking at this, we can also check the other straight line from 8 am to 12 pm. We can use the same technique used above to solve the equation of the line and check the number of people at 8:30 AM.

The points are (8,400) and (12,800). The slope of the line is

The equation of the line for this part is

To determine the number of people at 8:30 AM, we use the equation above to solve the value of y. We can rewrite 8:30 Am in decimal form as 8.50. We have

Hence, there are 450 people online at 8:30 AM.

Answer: D) 8:30 AM

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer:

i think it's 1/2 (a-8)

Step-by-step explanation:

so if u take 1/2 (a-8) and do distributive property ull get 1/2a and the 1/2 times 8=4 so u get 1/2a-4 I'm sorry if im wrong but this is what makes sense to me

Answer: 1/2

Step-by-step explanation:

1/3 = 2/6 so 2/6 + 1/6 = 3/6

3/6 = 1/2

Answer:

1/2

Step-by-step explanation:

Since we're dealing with fractions, the total fraction is 1

Mortgage =1/3

Food =1/6

Fraction of income left=x

So we equate everything above to 1

\( \frac{1}{3} + \frac{1}{6} + x = 1\)

\( \frac{1}{3} + \frac{1}{6} + x = 1 \\ lcm = 6 \\ multiply \: each \: term \: by \: 6 \\ 6 \times \frac{1}{3} + 6 \times \frac{1}{6} + 6(x) = 6(1) \)

\( = > 2(1) + 1(1) + 6x = 6 \\ 2 + 1 + 6x = 6 \\ 3 + 6x = 6\)

\(6x = 6 - 3 \\ 6x = 3 \\ x = \frac{3}{6} = \frac{1}{2} \)