Question 3


Next, verify that point C divides the line in the ratio required by using the distance formula to calculate AC and CB. Show your work

Answer:

1/4 x

Step-by-step explanation:

from 1 to 3 is 2, and from 2 to 6 is 4

2/4 simplifies to 1/2

can i get brainliest please?

To verify the inequality without evaluating the integrals, we can use the properties of integrals.

First, we know that the integral of a positive function gives the area under the curve. Therefore, the integral of √(1-x^2) from -1 to 1 gives the area of a semicircle with radius 1. This area is equal to π/2, which is approximately 1.57.
Next, we can use the fact that the integral of a function over an interval is less than or equal to the product of the length of the interval and the maximum value of the function on that interval. Since the function √(1-x^2) is decreasing on the interval [-1,1], its maximum value is at x=-1, which is √2/2.
Using this property, we have:
∫1 -1 √(1-x^2) dx ≤ (1-(-1)) * √2/2 = √2
Finally, we can use a similar argument to show that the integral is greater than or equal to 2. Therefore, we have:
2 ≤ ∫1 -1 √(1-x^2) dx ≤ √2
To verify the inequality 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2 using properties of integrals, let's first establish that the integrand is non-negative on the interval [-1, 1]. Since 0 ≤ x^2 ≤ 1, we have 0 ≤ 1 - x^2 ≤ 1, so √(1 - x^2) is non-negative.
Now, consider the areas of two squares: one with side length 2 and the other with side length √2. The area of the first square is 2² = 4, and the area of the second square is (√2)² = 2. Since the integrand lies between 0 and 1, the area under the curve is less than the area of the first square but more than half of it (as it resembles half of the first square).
Therefore, 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2, as the area under the curve is between half of the first square's area and the second square's area.

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Answer:

The total number of customers for the two days is 16x + 8

Step-by-step explanation:

Number of customers on Monday = 10x - 8

Number of customers on Tuesday = 6x + 16

Total numbers of customers for the two days = 10x - 8 + 6x + 16

Total numbers of customers for the two days = 16x + 8

Answer:

hbvjhhjgfbhfhghhjv5bjbhu6hjbhhi8jvhbkhbjgug7hbguf76

Answer: Let us assume that the radius of the circle is r where the corresponding sector area and arc length are 37.5sq. cm and 7.5cm. From the given arc length of 7.5cm, the subtended angle at the circle center theta radian can be Theta /2π =7.5/2πr or

Theta radian =7.5/r. For the radian, 7.5/r subtended angle sector area can be 7.5/r/2π^2 or 7.5/2πr*πr^2 or 7.5r/2. We already have given sector area as 37.5, then 7.5r/2=37.5, or r will be 37.5*2/7.5 which gives us 10.

Step-by-step explanation:

Let us assume that the radius of the circle is r where the corresponding sector area and arc length are 37.5sq. cm and 7.5cm

By the arc length of 7.5cm, the subtended angle at the circle center theta radian will be

Theta /2π =7.5/2πr or

Theta radian =7.5/r

For the 7.5/r radian subtended angle sector area is

7.5/r/2π^2 or 7.5/2πr*πr^2 or 7.5r/2

We have given the sector area 37.5, so now 7.7r/2=37.5, or

r=37.5*2/7.5=10cm

The expression that correctly describes completing the square is;

Option C; x² + ax + (a/2)²

Let's say we have an expression;

x² + ax + c = 0

Let us first rearrange to get;

x² + ax = -c

Add (a/2)² to both sides to get;

x² + ax + (a/2)² = -c + (a/2)²

Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²

But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²

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Answer:

2,-2

you just have to look at the "menu" of choices and determine which one of the choices

fits the question... the f(-4) says you have to see which one of the three

choices has -4 in it ...

the middle one does -4≤x≤1 -4 is for sure in the range

this question #1 answer is "2" because the result is always a 2 for that choice...

the next question put in 3 ... three is greater than 1 (that is the third choice)

so the result is -(3) + 1 = -2

your answers are 2, and -2

Step-by-step explanation:

Answer:

  -49

Step-by-step explanation:

You want to evaluate the expression -3² +(2 -6)(10).

The Order of Operations tells you the expression in parentheses is evaluated first, followed by the term containing the exponent.

  -3² +(2 -6)(10) = -3² +(-4)(10)

  = -9 +(-4)(10)

  = -9 -40

  = -49

The value of the expression is -49.

__

Additional comment

The leading minus sign applies to the result from the squaring operation. If the square of -3 is wanted, it is put in parentheses: (-3)² = 9.

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Pam needs to save $905 per year for seven years to have enough for her first year with the help of her two grandfathers.

Pam needs to save $903 each year to have enough for her first year of college tuition with the help of her two grandfathers.

To calculate this, we first need to add up the total amount of money Pam's two grandfathers are offering to contribute:

Grandfather 1: $6321

Grandfather 2: $6321

Total Contribution: $12642

We then subtract this total contribution from the total cost of tuition for the first year:

Tuition: $6321

Total Contribution: -$12642

Total Amount Needed: $6321

Finally, we divide this total amount needed by the number of years Pam has to save:

Total Amount Needed: $6321

Years: 7

Amount Needed to Save Each Year: $903

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Answer: 2

Step-by-step explanation:

1/4 ÷ 1/8 = 1/4 x 8 = 8/4 = 2

The matches between the angles of rotation and the resulting vector matrices are:

1. 45 degrees: [7√2, 7√2]

2. 90 degrees: [2, -2]

3. 180 degrees: [-6, 2]

To determine the resulting vector matrices after rotating the vector [6, -2] at different angles, we need to apply rotation matrices. The rotation matrix for a given angle θ is:

R(θ) = [cos(θ), -sin(θ)]

[sin(θ), cos(θ)]

Now, let's match the angles of rotation with the corresponding vector matrices:

1. 45 degrees:

R(45°) = [√2/2, -√2/2]

[√2/2, √2/2]

The resulting vector matrix after rotating [6, -2] by 45 degrees is:

[√2/2 * 6 + -√2/2 * -2, √2/2 * -2 + √2/2 * 6] = [7√2, 7√2]

2. 90 degrees:

R(90°) = [0, -1]

[1, 0]

The resulting vector matrix after rotating [6, -2] by 90 degrees is:

[0 * 6 + -1 * -2, 1 * -2 + 0 * 6] = [2, -2]

3.180 degrees:

R(180°) = [-1, 0]

[0, -1]

The resulting vector matrix after rotating [6, -2] by 180 degrees is:

[-1 * 6 + 0 * -2, 0 * -2 + -1 * 6] = [-6, 2]

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Answer:

Step-by-step explanation:

a = -1.0

b = -1.4

c = -1

d = 2

e = 9

how this is correct

Answer:

x=65

y=25

Step by step explanation:

90+90+25+x+x+y= 360

2x+y=155  (1)

90+25+x= 180

x= 65   (2)

sub (2) into (1):

2(65)+y=155

y= 25

Answer:

2(a - 2b)

Step-by-step explanation:

2 is a common factor of 2a - 4b. The a's and b's cannot be part of the common factor.

2(a - 2b) is the answer.

Notice that both sides of the minus sign are effected by the two being taken out.

The surface area painted blue will be 1,488 square cm.

The correct option is: (D)

Surface area is the amount of space covering the outside of a three-dimensional shape.

We have, The plan is to paint 40% of the total surface area.

The surface area is :

Surface Area = (17 + 17 + 18 + 30 + 18) x 24 + 8 x 30 + 2 x 30 x 18

Surface Area  = 100 x 24 + 8 x 30 + 60 x 18

Surface Area = 2400 + 240 + 1080

Surface Area = 3720 square cm

Blue paint will be applied to 40% of the overall surface area of the doorstop, including the bottom face then

= 0.40 x 3720

= 1488 square cm

Therefore, the surface area painted blue will be 1,488 square cm.

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The function notation of the given equation y = x - 3 is f(x) = x - 3 and the value of the function f(x) = x - 3 is 13

The given equation is y = x - 3.

To write this equation in function notation, we can replace y with f(x) to get:

f(x) = x - 3

To find f(16), we substitute x = 16 into the function:

f(16) = 16 - 3

f(16) = 13

Therefore, when x = 16, the value of the function f(x) = x - 3 is 13, so f(16) = 13.

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Answer:

jjrbhss3

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

x+y=23

x-y=13

2x=23+13

2x=36

x=18

18+y=36

90

Answer:

2.7027027027027027

Step-by-step explanation:

1,000 grams make a kilogram

Answer:

28

Step-by-step explanation:

8÷2/7 = 8 x 7/2 = 56/2 = 28

^Its the same as this^

Hope this helps :D

Answer:

28

Step-by-step explanation:

8÷2/7 = 8 x 7/2 = 56/2 = 28

Hope this answers your question!

Answer:

Scalene

Step-by-step explanation:

The reason is because all the sides are different.

Answer:

Triangle scalene

Step-by-step explanation:

So no sides are equal and no angles are equal.

Answer:

no its not

Step-by-step explanation:

a repeating decimal is one that repeats a number but this is a terminating decimal since it stops.

Answer:

nuber 1 is sum 2 is quotient 3 is produckproduct

Step-by-step explanation:

number 1 is sum, 2 is quotient , 3 is product.

A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.

here, we have,

an expression with grouping symbols.

When an expression has more than one set of grouping symbols,

So, the answer is,

number 1 is sum, 2 is quotient , 3 is product.

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Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

sec 300 = sec60 = 1/(1/2).= 2

So first you find 10% which is 34.5

Then you multiply 10% by 4 to get 40% which is = 138s

Yw

Answer:

A

Step-by-step explanation:

Answer:

A represents the position of -2.2

Answer:

207

Step-by-step explanation:

The perfect square after 144 is the number 169 .

The Perfect Square is defined as the number that can be expressed as  product of an integer by itself .

For example, 36 is a perfect square because it is product of integer 6 by itself, 6 × 6 = 36 . Whereas , the number 15 is not a perfect square because it cannot be expressed as product of two same integers .

The number 144 is the perfect square of integer 12 ,

so the next integer 13 , the square of 13 is = 13 × 13 = 169 .

Therefore , the next perfect square after 144 is 169 .

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Answer:

4 black pieces

Step-by-step explanation:

There are 12 pieces.

We have to find 1/3 of 12.

We get 4, so it is your answer.

All I got to do is have some knowledge of it what is your PP and pow usually it's the pp u take of ppw

The solution set of the given quadratic equation using factorization will be {-3,11}

Given equation is

\(x^{2} -8x-33 = 0\)

The polynomial equation whose highest degree is two is called a quadratic equation. The equation denoted by ax² + bx + c = 0, where a is non-zero.

Let us calculate the roots by factorization

\(x^{2} -11x+3x-33=0\)

\(x(x-11)+3(x-11)=0\)

\((x-11) (x+3)=0\)

\(x-11=0\\x=11\\x+3=0\\x=-3\)

Hence, the solution set of the given quadratic equation will be {-3,11}

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

X=5      2x+y=10

you already have x

just need to find y

2x+ y=10

2 (5)+y=10

10 + y=10

y=10- 10 ( when you change the number place the sign should change too, if it was - it will turn +)

y=10-10

y=0

(5,0)

I really hope it work