The area (A) of a rectangle varies jointly as the length (l) and the width (w), and whose A = 60 sq. cm when l = 4 cm and w = 3 cm. What is the area of rectangle if the length is 6 cm and whose width is 3 cm? ​

Answer:

B

Step-by-step explanation:

C its C hopes this helps

Answer:

The size of the bacteria after 8 hours will be of [tex]1.2 \times 10^{52}[/tex] squared inches.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]F(t) = F(0)(1+r)^{t}[/tex]

In which F(0) is the initial value and F is the growth rate.

A bacteria with an initial size of 180in2 grows by 27% every minute.

This means that [tex]F(0) = 180, r = 0.27[/tex]. So

[tex]F(t) = F(0)(1+r)^{t}[/tex]

[tex]F(t) = 180(1+0.27)^{t}[/tex]

[tex]F(t) = 180(1.27)^{t}[/tex]

In which t is measured in minutes,

What will the size of the bacteria be after 8hours

8 hours has 8*60 = 480 minutes, so this is F(480).

[tex]F(480) = 180(1.27)^{480} = 1.2 \times 10^{52}[/tex]

The size of the bacteria after 8 hours will be of [tex]1.2 \times 10^{52}[/tex] squared inches.

Answer:

U: (5,9)

W: (7,9)

V: (6,10)

T: (6,7)

Step-by-step explanation:

Answer: 12 is the awnser

Step-by-step explanation: simple math.

Probability of an Event P(E) = Number of times an event occurs / Total number of trials.

7/10= 70%

Answer:

Step-by-step explanation:

Sine of U = 8/17

opposite /hypotensue

Answer:

[tex]x = \frac{y}{3} - \frac{5}{3}[/tex]

Step-by-step explanation:

Given

[tex]y = 5 + 3x[/tex]

Required

Solve for x

Subtract 5 from both sides

[tex]y-5 = 5 -5+ 3x[/tex]

[tex]y-5 = 3x[/tex]

Divide through by 3

[tex]\frac{y}{3} - \frac{5}{3} = x[/tex]

[tex]x = \frac{y}{3} - \frac{5}{3}[/tex]

Answer:

0.214 ; 0.064 ; 0.3859 ; 0.9966 ; 0.135

Step-by-step explanation:

Given the distribution :

Poor ___ Acceptable ____ Excellent

0.25 _____ 0.6 _________ 0.15

The data scientist receives three items produced by the manufacturing process.

Find the chance that:

a. all of items are Acceptable

0.6 * 0.6 * 0.6 = 0.6^3 = 0.214

b. none of the items is Acceptable

P(not acceptable) = 1 - p(acceptable) = 1 - 0.6 = 0.4

0.4 * 0.4 * 0.4 = 0.4^3 = 0.064

c. at least one of the items is Excellent

P(atleast one) = 1 - P(none)

P(not excellent) = 1 - 0.15 = 0.85

P(none is excellent) = 0.85^3 = 0.614125

Hence,

P(atleast one is excellent) = 1 - 0.614125 = 0.3859

d. not all of the items are Excellent

P(not all) = 1 - p(All)

P(all excellent) = 0.15^3 = 0.003375

P(not all are excellent) = 1 - 0.003375 = 0.9966

e. there is one item of each class:

P(poor) * p(acceptable) * p(excellent) * (number of classes)!

0.25 * 0.6 * 0.15 * 3!

= 0.135

Answer:

7 servings

Step-by-step explanation:

If you can make the spice rub with 2 tbsp, then divide 14 by 2 to get 7.

If you need reassurance multiply 7 x 2.

Answer:

1,2,3,4,5,6,7,8,9, and 10

Step-by-step explanation:

they are the union of A and B.

I think i helped mark me as brainlist.

thank you have a nice day

Answer:

The coefficient is 5.

(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)

Answer:

A : 3080

Step-by-step explanation:

In order to find volume, you have to multiply all the 3 sides. (Multiply height, length and width)

22 x 10 = 220.

220 x 14 = 3080.

Therefore the volume of the water is 3080 in.

Hope this helps!

Answer: B

Step-by-step explanation: A=πr2

The formula for calculating the area of a circle is A = π​r​2 where pi (π) equals 3.14 and the radius (​r​) is half the diameter.

You must times 5 by 5 because of exponents and then times it by pie

5 times 5 = 25

25 times pie is 78.5

9514 1404 393

Answer:

  9 7/12

Step-by-step explanation:

12 is a suitable common denominator.

  (7 3/4) + (1 5/6) = (7 9/12) + (1 10/12) = (7+1) +(9/12 +10/12)

  = 8 + 19/12 = 9 + 7/12 . . . . . . change 19/12 to 1 7/12

  = 9 7/12

_____

My calculator works with mixed numbers very nicely, as many graphing calculators do.

Step-by-step explanation:

convert the fractions to whole numbers. the first one is:

4 × 7, then add 3, or 31/4.

the second one is 6 × 1, then add 5, or 11/6.

then you have 31/4 + 11/6. then you make a common denominator, which would be 12 (6 and 4 both go into 12).

3 × 31 = 93, so then the first fractions becomes:

93/12

second fraction becomes 11 × 2 = 22, then:

22/12.

so now you have 93/12 + 22/12 = 115/12, or 9 7/12

Answer:

Value of z = 23°

Step-by-step explanation:

Given:

∠1 = 62°

∠2 = 95°

∠3 = z°

Find:

Value of z

Computation:

Using angle sum property

∠1 + ∠2 + ∠3 = 180°

62 + 95 + z° = 180

Value of z = 23°

Answer:

2/3 of 4=8/3or 2 2/3 is your answer

Answer:

I have 2.66667 As a fraction it is 4/1

Step-by-step explanation:

I'm not completely sure I'm new to this :|

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

We are given two fractions and are asked to simplify it.

So

[tex](-\frac{4}{5} )^9 / (-\frac{4}{5} )^{10}[/tex]

We can follow the exponent rule of subtracting them since both fractions are the same value.

[tex](-\frac{4}{5} )^{9-10}[/tex]

[tex](-\frac{4}{5} )^{-1}[/tex]

Now do the negative exponent rule :

[tex]\frac{1}{-\frac{4}{5} }[/tex]

Move the negative in between the fraction :

[tex]-\frac{1}{\frac{4}{5} }[/tex]

And apply the fraction switcharoo :

[tex]\frac{5}{4}[/tex]

Answer:

i dont know

Step-by-step explanation:

Answer:

[tex]\frac{19}{14}x + \frac{97}{56}[/tex] =

^^^hope this helps! :)

The circumference of the circle with a diameter of 6 cm will be 18.84 cm.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let d be the diameter of the circle. The circumference of the circle will be given as,

C = πd units

The diameter of the circle is 6 cm. Then the circumference is given as,

C = π x 6

C = 3.14 x 6

C = 18.84 cm

The circumference of the circle with a diameter of 6 cm will be 18.84 cm.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ1

Answer:

37.5 ( i didn't round cause the answer looked simple already)

Step-by-step explanation:

formula for triangle is base x height divided by 1/2

Base(5) x Height(15) = 75 now divide by 1/2

75 divided by 1/2 = 37.5

(Could i have brainliest if i'm right?)

Answer:

Step-by-step explanation:

y - 3 = -(x + 2)

y - 3 = -x - 2

y = -x + 1

Answer:

6.14

Step-by-step explanation:

Given the function f(x)=x^(2)-5x-7, when f(x) = 0

x^(2)-5x-7 = 0

Using the general formula

x = 5±√5²-4(-7)/21(1)

x= 5±√25+28/2

x = 5±√53/2

x = -5±7.28/2

x = 5+7.28/2 and 5-7.28/2

x = 12.28/2 and -2.28/2

x = 6.14 and -1.14

Hence the positive zero is 6.14

Answer:

[tex]2(4n+3)[/tex]

[tex]8n+6[/tex]

Step-by-step explanation:

We are given that

Let n represent the width of pool

Length of pool=[tex]3n+3[/tex]

We have to find two expression which represent the perimeter of the pool.

We know that

Perimeter of rectangle=[tex]2(l+b)[/tex]

Where l=Length of rectangle

b=Width of rectangle

Using the formula

Perimeter of pool=[tex]2(n+3n+3)[/tex]

Perimeter of pool=[tex]2(4n+3)[/tex]

Perimeter of pool=[tex]8n+6[/tex]

Hence,  two expressions that represent the perimeter of the pool is given by

[tex]2(4n+3)[/tex]

[tex]8n+6[/tex]

Answer:

200 cm3

Step-by-step explanation:

Multiply 10x4x5=200

Answer:

144

Step-by-step explanation:

6^2 = 6x6 = 36

36 x 4 = 144