What is the product of the binomials (4a – 1) and (2b 3)? 18ab – 3 8a2b2 10ab – 3 6ab 7a – 2b – 3 8ab 12a – 2b – 3

Step-by-step explanation:

The general form of the equation of a circle is

(x-a)^2 + (y-b)^2 = r^2   where the center is (a,b)

Plugging in the given values:-

(6 - a)^2 + (4-b)^2 = r^2    and

(6-a)^2 + (2-b)^2  = r^2

Subtracting:-

(4-b)^2 - (2 - b)^2  = 0

16 - 8b + b^ - (4 -4b + b^2) = 0

12 - 4b  = 0

-4b =  -12

b = 3

Similarly if we take the 2 points (6,2) and G(10,2)  and make two equations we can find the value of a

(6-a)^2 + (2-b)^2  = r^2

(10.a)^2 + (2-b)^2 = r^2    subtract::-

(6-a)^2 -(10-a(^2 = 0

this will give a = 8

so the center of the circle is  the poit (8,3)

Answer:

Slope of the line DV = -1

Step-by-step explanation:

Let point D (-5, 1) be [tex](x_{1}, y_{1})[/tex]

Let point V (-1, -3) be [tex](x_{2}, y_{2})[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the appropriate values,

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

slope equals -1

Answer:

for L 2, 2 and for LM it is -8,8

Step-by-step explanation:

easy

According to the question,

Time taken by Jesse to run 1 mile = 7 minutes

Also,

Time taken by Jesse to run 1 mile = 2½ minutes + Michael's time [tex]\;[/tex]

Now, we can say that :

⇒ 7 minutes = 2½ minutes + Michael's time

⇒ (7 - 2½) minutes = Michael's time

⇒ (7 - 5/2) minutes = Michael's time

⇒ (14 - 5)/2 minutes = Michael's time

⇒ 9/2 minutes = Michael's time

⇒ 4½ minutes = Michael's time [Answer]

Step-by-step explanation:

Question:-In track practice, Jesse ran a mile in 7 minutes. His mile time was2.5 minutes faster than Michael's time. Write and solve an equation to calculate Michael's mile time.

Solution

Jessie time 7 minute

Michael’s time is 2.5 times slower

Divide 7 minutes by 2.5 to get answer

Jesse = 7

Michael = 2.5 X

7 = 2.5 X

7/2.5 X = 17.5 to check answer divide 17.5 by the 2.5, your answer is 7.

Or if it was 2.5 more

we subtract 2.5 from 7

=> 7 - 2.5

=> 4.5

=> 4 ½

----

A) The equation for the growth of bacteria over time is : n(t) = 27(   [tex]e^{25t}[/tex])

B) The number of bacteria the would be in 5 minutes 1 hour is :

n(5mins) = 215.055 ,  n(1) = 1944132282109.422

C) The time it will take for the bacteria to reach a population of 10,000 is : t = 0.237 hours

Applying the mathematical growth and decay modelling

a. n(t) = [tex]n_{0}[/tex] [tex]e^{rt}[/tex]

[tex]n_{0}[/tex] = initial amount of bacterial

[tex]e^{rt}[/tex] = exponent

r = rate

t = time

n(t) = 27(   [tex]e^{25t}[/tex])

b. for 5 minutes

converting 5 minutes to hours; we divide by 60 minutes

[tex]\frac{5}{60}[/tex] = 0.083 hour

n(5 mins) = 27(   [tex]e^{25t}[/tex])

n(5 mins) = 27(   [tex]e^{25 * 0.083}[/tex])

n(5 mins) = 27(   [tex]e^{2.075}[/tex])

n(5mins) = 27(   7.965)

n(5mins) = 215.055

For 1 hour we have

n(1) = 27(   [tex]e^{25t}[/tex])

n(1) = 27(   [tex]e^{25 * 1}[/tex])

n(1) = 27(   [tex]e^{25}[/tex])

n(1) = 27 * (72004899337.386)

n(1) = 1944132282109.422

c. How long will it take for the bacteria to reach a population of 10,000?

10000 = 27(   [tex]e^{25t}[/tex])

[tex]\frac{10000}{27}[/tex] = (   [tex]e^{25t}[/tex])

370.370 = (   [tex]e^{25t}[/tex])

㏑ (370.370 ) = ㏑ (   [tex]e^{25t}[/tex])

5.915 = 25t

[tex]\frac{5.915}{25}[/tex] = t

t = 0.237 hours

In conclusion this type of question can be done by mathematical modelling

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The set of data is influenced by an extreme x and y values compared to other data points is an outlier.

It should be noted that an outlier simply means data points that diverge in big way from the overall pattern.

Outlier can have extreme x or y value when compared to other data points. Also, it can be distant from the rest of the data without the extreme xor y values.

Learn more about outlier on:

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Answer:a on usa test prep.like it

Step-by-step explanation:

From the computation below, the area of the label is 707 Inches.

This calculation is carried out using the theorem of the area of curved shapes.

The formula for the Curved Surface Area of a Cylinder is given as:

                                               2 [tex]\pi[/tex] rh

                                              =  2 [tex]\pi[/tex] x 7.5 x 15.

This assumes that the label also ends at an equal distance from the top of the lid.  Hence 15in = 20 - (2.5 x2);

Recall that [tex]\pi[/tex] =  22/7, hence

= 2 x (22/7) x  7.5 x 15

= 707.142857143

Approximately, this equals; 707 Inches.

Hence, the area of the label = 707 inches.

Notice that the question is incomplete. From inference, however, the general calculation above contains the principles for calculating the area of a label.

Learn more about Surface Area of Curved Shapes at:
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The Quotients of the given expression (2m + 4) / 8 divided by (m + 2)/6 would be 3/2.

Quotients are the number that is obtained by dividing one number by another number.

Dividend ÷ Divisor = Quotients

(2m + 4) / 8 divided by (m + 2)/6

= (2m + 4) / 8 ÷ (m + 2)/6

= (2m + 4)/8 x (6 / (m + 2) )

= (m + 2)/4 x 6/(m + 2)

= 6/4

= 3/2

Thus, the quotients will be 3/2.

Learn more about Quotients;

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Step-by-step explanation:

There two solutions. X can be zero cause anything divided by zero is undefined.

When dealing with positive numbers:

[tex]least \: to \: greatest \: for \: \: x \geqslant 1[/tex]

[tex] - \frac{1}{x} < \: \: 1 - x \: < \: \: x - 1 \: \: < x[/tex]

When dealing with negative numbers:

[tex]least \: to \: greatest \: for \: \: x < 0[/tex]

[tex] - x \: < x - 1 \: < - \frac{1}{x} \: < 1 - x[/tex]

Answer:

256

Step-by-step explanation:

You get the median by aligning all the numbers then start taking out the number from highest to lowest like this, 1, 2, 3, 4, 5, you take out the 1 and the 5 then the 2 and the 4. The median in the end would 3.

Answer: 1/4

Step-by-step explanation:

ez

Answer:

15.75÷2.25

Step-by-step explanation:

I think it's that I'm not completely sure so yeah

The volume of the prism given its dimensions is equal to 160 cubic units.

The given prism is made up of two prisms. The volume of the prism is the volume of the two shapes.

Volume = 80

Volume = 80

Volume of the prism = 80 x 2 = 160 cubic units.

To learn more about rectangular prisms, please check: https://brainly.com/question/8890358

Answer:

8.5 × 10-2

Step-by-step explanation:

I believe this is it

Answer:

30 quarts

Step-by-step explanation:

4 quarts = a gallon

4 quarts +2 quarts  = 6 quarts

5 containers*6 quarts(each)

5*6=30

Answer:

5/8 (Decimal 0.625)

Step-by-step explanation:

Equation with variables filled is: 1/2 + (3/4 - 5/8)

3/4 - 5/8 is 1/8

Equation is now 1/2 + 1/8

1/2 is also 4/8

4/8 + 1/8 = 5/8

The answer is 5/8.

Brainliest please?  

Answer:

0.0018

Step-by-step explanation:

Slip system can be used to give more than fair chances of selection where the number of slips for one is more than the other.

There are multiple ways of selecting random sample like tossing a coin, flipping a die, lottery system.

Describing a method which can be used to provide more than a fair chance of selection is as follows:

Julie has 3 friends, so make the total number of slips say n

where n is not a multiple of 3.  

If n is not a multiple of 3 then her 3 friends will not get an equal chance of being selected.

Consider n=5

She has 3 friends, so 2 slips has repeated names, thus creating more chance of being selected than the one who has name only on one slip.

Thus, this method may result in more chance of selection of one over other.

Learn more about random sampling, here:

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#SPJ4

Answer:

Here,

Now,

Answer:

£21.36

Step-by-step explanation:

in one litre of any substance there is 1000ml and 500mlx2= 1litre

so it then requires 8 bottles

2.67 x 8 = 21.36

so there is the answer I hope it helped!

Answer:

0.33=33%

0.07=70%

5.43=543%

1.5%=1/5

3%=3

38%=3/8

Step-by-step explanation:

hope this helps if not please let me know

Answer:

1 7/12 in^2.

Step-by-step explanation:

Area = length*width

4 3/4 * 1/3

= 19/4 * 1/3

= 19/12

=   1 7/12 in^2.

Answer:

the product

= (x+4)(x+5)

= x^2 + 5x + 4x +20

= x^2 + 9x + 20
hope this helps!!!

Answer:

Step-by-step explanation:

Applying Distributive Property :

Combining Like-Terms :

Answer:

option d bro

Step-by-step explanation:

the answer is option d x>=0

Answer:

so as you see im in middle school but i can solvee it

Step-by-step explanation:

even im in 6th grade i do well with high school stuff ok now let me xplain you just read it carifully eamil your teacher ask for help and doneee your brain is working bam bam bam

Answer:

(3x-5) (3x-5)

Step-by-step explanation:

<33

I hate text limits!!

Answer:

4 terms

Step-by-step explanation:

Terms being 4w, 7, 3p, 8x.