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Answer:

[tex]\displaystyle A = 7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Pre-Calculus

Calculus

Integrals - Area under the curve

Area of a Curve Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {f(x)} \, dx[/tex]

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Step-by-step explanation:

*Note:

The area under the curve is essentially the definition of an integral.

Step 1: Define

Parametric

x = t

y = 3t²

1 ≤ t ≤ 2

Step 2: Rewrite

Rewrite parametric to rectangular form and change bounds of integration.

Step 3: Find Area

Integration.

Topic: AP Calculus AB/BC

Unit: Area under the curve

Book: College Calculus 10e

your answer is going to be -3

Answer:

The Answer to 3-6 is -3!

Step-by-step explanation:

Think of it as a regular problem at first, 6-3: Switch the rolls!

6-3= 3 So when you switch the numbers back to 3-6, you get -3.

The answer has to have a negative sign (-) because it is a negative, a number below zero.

3-3= 0, 3 is half of 6, 6 is the number you need to subtract so you have to go below zero because subtraction is all about taking away from that first number. So 3-3= 0, 0-3= -3.

Hope that helped you!

Answer:

Written in slope-intercept form.

y = mx + b

The answer to your question would be

m = 8

Answer:

Step-by-step explanation:

[tex]\text{From the given information:}[/tex]

[tex](a)[/tex]

[tex]\text{ P(ball of each color)=P(1st ball is black \& 2nd (red)) + P(1st(red) \& 2nd(black)})[/tex]

[tex]\text{ P(ball of each color)} = {P(1st (black) \times P(2nd \ red \ | \ 1st black) }+P(1st \ red) \times P(2nd \ black \ | \ 1st \ red)}[/tex]

[tex]\text{ P(ball of each color)} = \Big(\dfrac{10}{20}\Big ) \times \Big(\dfrac{10}{19}\Big ) + \Big(\dfrac{10}{20}\Big ) \times \Big(\dfrac{10}{20}\Big )[/tex]

[tex]\text{ P(ball of each color)} = \Big(\dfrac{10}{19}\Big )[/tex]

[tex](b)[/tex]

[tex]\text{If the combination of total no. of black \& red balls with no =10*10 =100}[/tex]

[tex]Then;[/tex]

[tex]\text{the no. of ways red is less than no. of black = 9}[/tex]

[tex]Thus:[/tex]

[tex]\text{P(ball of each color and number on red ball is 1 less than number of black ball is :)}[/tex][tex]= \text{P(ball of each color) * P(red is 1 less than black [] ball of each color)}[/tex]

[tex]=\Big( \dfrac{10}{19}\times \dfrac{9}{100} \Big )[/tex]

[tex]= \dfrac{9}{190}[/tex]

Answer:

Disect the shape

Step-by-step explanation:

6 x 10 x 18 ÷ 2 = (Answer)

Answer:

Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

You need to end up a mixture that is 60% antifreeze.

You have 90 gallons of 25% antifreeze, which means it has .25*90 = 22.5 gallons of pure antifreeze mixed with a solvent (probably water).

.

You will add 'x' gallons of 70% antifreeze to make the 60% mixture.

So, at the conclusion, you will have (90+x) gallons  60% 'pure' antifreeze. That can be shown with the equation:

.

.25*90 + .7*x = .6*(90+x)

.

Multiply by 100 to eliminate fractions.

.

25*90 + 70x = 60(90 +x)

.

2250 + 70x = 5400 + 60x

.

10x = 5400 -2250

.

10x = 3150

.

x = 315 gallons of 70% antifreeze.

.

How much will you end up having on hand?

90 + 315 = 405 gallons

.

If it is 60% antifreeze, how much 'pure' antifreeze will be in the mixture?

.6*405 = 243

.

In the original 90 gallons, you have 22.5 gallons of pure antifreeze.

In the additional 315 gallons, you have .7*315 = 220.5 gallons.

22.5+220.5 = 243 gallons

Step-by-step explanation:

Answer:

y = -4x-4

Step-by-step explanation:

We need to find an equation of the line that passes through (1,0) and has a slope of m=-4.

The equation of a line is given by :

y = mx+c

Where

m is slope of line

Put all the values,

y = -4x+c

Put x = 1 and y = 0

So,

0 = -4(1)+c

c = -4

So, the required equation is :

y = -4x-4

6'2 = 74 inches.

74-58 = 16

16 inches taller.

Hope this helps ^^

Answer:

84

Step-by-step explanation:

108 / (7+2) = 12

7 x 12 = 84

Answer:

84

Step-by-step explanation:

I'm pretty sure correct me if I'm wrong

Answer:

hope it may help you

Step-by-step explanation:

one number = 661

second number = 205

Answer:

   on the outside of the bracket. The divisor is the number you're dividing by.Set up the division problem with the long division symbol or the the dividend, on the inside of the bracket. The dividend is the number you're dut 32, the divisor, on the outside of the bracket. The divisor is the number you're dividing by.Set up the division problem with the long division symbol or the long division brackPut 487, the dividend, on the inside of the bracket. The dividend is the number yoPut 32, the divisor, on the outside of the bracket. The divisor is the number you're dividing by.

Step-by-step explanation:

Answer:

16 inches

Step-by-step explanation:

The tile is rectangular, so the other 2 sides have lengths 2in and 6in.

The perimeter is 2in + 6in + 2in + 6in = 16in

Answer:

16

Step-by-step explanation:

the long sides are both 6 inches

6+6=12

the short sides are both 2 inches

2+2=4

add all the sides together

12+4=16

Step-by-step explanation:

the answer is in the pic I posted! hope It helps...mark brainliest please!

The measure of BC is 24 cm. So, option B is correct.

Important information:

We need to find the measure of BC.

We have,

AD = AB = 10 cm

We know that the radius of a circle is perpendicular to the tangent at the point of tangency. It means triangle ABC is a right angle triangle.

Using the Pythagoras theorem, we get

[tex](AB)^2+(BC)^2=(AC)^2[/tex]

[tex](10)^2+(BC)^2=(26)^2[/tex]

[tex](BC)^2=676-100[/tex]

[tex](BC)^2=576[/tex]

Taking square root on both sides, we get

[tex]BC=\sqrt{576}[/tex]

[tex]BC=24[/tex]

The measure of BC is 24 cm. So, option B is correct.

Find out more about 'Tangent to circle' here:

https://brainly.com/question/1503247

Answer:

See answers below

Step-by-step explanation:

Given that sin theta = √3/√7

Opposite =√3

Hypotenuse = √7

Get the adjacent

Adj² = (√7)²-(√3)²

Adj² = 7-3

Adj² = 4

Adj = √4

Adj = 2

Cos theta = adj/hyp = 2/√7

csc theta= 1/sin theta = 1/(√3/√7) =

√7/√3

sec theta= 1/costheta = 1/(2/√7) = √7/2

tan theta= opp./adj = √3/2

cot theta =1/tan theta = 1/(√3/2) = 2/√3

= 2√3/3

Answer:

8 in²

Step-by-step explanation:

The area of a triangle is always base times half height. Since this triangle has a 90° corner, the vertical 4 inch is also the height.

So area is 4*4/2 = 8

Answer:

b) median: there are 7 numbers listed; 20 is the middle number among them

range: subtract lowest from highest number 25-2=23

mean: add all the numbers together =129

mode: place numbers in order (smallest to greatest), then see which number appears the most 2, 18, 18, 20, 22, 24, 25=18

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

5.16

Step-by-step explanation:

We multiply the number of weeks by the number of days to find the total amount of days that she ran:

5 weeks × 3 days/week = 15 days

We are looking for the amount of miles/day (which represents the number of miles per day).

So, we take [tex]\frac{77.4miles}{15days}[/tex]= 5.16 miles/day

Answer:

29 3/4

Step-by-step explanation:

Answer:

Please refer to the attachment

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

Step-by-step explanation:

Scale factor is the ratio of the corresponding sides:

Find m using the scale factor:

Answer:

scale factor is 4 and m is 16.

Step-by-step explanation:

This is because these are similar rectangles, so the proportion of each side to the congruent side is the same. This means that to get from 7 to 28 u multiply by a scale factor of 4, and to get m you would multiply 4 by 4.

Answer:

400

Step-by-step explanation:

Answer:

its just 4 because its in the ones place also the comas arent placed correctly

If the commas are placed correctly then it is 400. Pretend there are 2 imaginary zeros after it.

Answer:

5 1/4

Step-by-step explanation:

If each canvas takes up 4 oz of paint then you should take 21 and divide it by 4 to get the answer. Erven can only paint 5 full canvases and 1/4 of another canvas.

Answer: it is b

Step-by-step explanation: just count how many lines between x and x' to the right its positive to the left its negative

Answer:

6

Step-by-step explanation:

19x-4=17x+8

2x=12

x=6

Answer:

6

Step-by-step explanation:

19x-4=17x+8

19x-17x=8+4

2x=12

x=12/2

x=6