what is the area of a circle with a radius of 2 cm anda circle with a radius of 4 cm

The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -15x² - 31x - 2

On simplifying , we get

The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition

So , on factorizing , we get

A = ( -15x - 1 ) ( x + 2 )

Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )

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The complete question is attached below :

Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)

a- 3x, 5x

b- x, 15x

c- 5x, 3x

d- 15x, x

i hope this help you i am sure that this answer is correct

The area of the triangle is 47.91 units²

When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.

Heron’s formula is:

Area =√s(s−a)(s−b)(s−c)

where,

a, b, c are the side length of the triangle

s is the semi-perimeter. s = (a+b+c)/2

In this case:

Using the knowledge of the radius of a circle. We can say:

a = BC = 3 + 9 = 12 units

b = AC = 5 + 3 = 8 units

c = AB = 5 + 9 = 14 units

s = (a+b+c)/2

s = (12+8+14)/2

s = 34/2

s = 17 units

Area = √s(s−a)(s−b)(s−c)

Area = √17(17−12)(17−8)(17−14)

Area = √17(5)(9)(3)

Area = √2295

Area = 47.91 units²

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The answer is (A) The Ratio Test says that the series converges absolutely.

What is the ratio test?

The Ratio Test is a test used to determine whether an infinite series converges or diverges. It involves taking the limit of the absolute value of the ratio of the (n+1)th term to the nth term as n approaches infinity. If the limit is less than 1, then the series converges absolutely.

We have:

\(|a_{n+1}/a_{n}| = |(e^(n+7)*sqrt(n+3)/((n+4)!)) / (e^(n+6)*sqrt(n+2)/((n+3)!))|\)

\(|a_{n+1}/a_{n}| = e(sqrt(n+3)/sqrt(n+2)) * (n+3)/(n+4)\)

We want to compute:

\(L = lim n- > infinity |a_{n+1}/a_{n}| = lim n- > infinity e(sqrt(n+3)/sqrt(n+2)) * (n+3)/(n+4)\)

We can see that the exponent of e goes to 1 as n goes to infinity, and (n+3)/(n+4) goes to 1 as n goes to infinity. Therefore, L = 1.

Since L < 1, by the Ratio Test, the series converges absolutely.

Hence, the answer is (A) The Ratio Test says that the series converges absolutely.

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The profit that was made last year is -1.16 million.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

A company makes a profit of $1.38 million. This is $2.54 million more than last year.

Let the last year profit be x. This will be illustrated thus:

x + 2.54 = 1.38

x = 1.38 - 2.54

x = -1.16

The profit is -1.16 million.

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Answer:

50

Step-by-step explanation:

\(\frac{9}{5}(10)+32=50\)

Answer:

135 cm

Step-by-step explanation:

Let Jose's height = x

The mean of their heights = 150

Given the Heights:

150cm, 170cm, 140cm, 155cm

The mean is the sum if the heights divided by the number of people

Here :

(150 + 170 + 140 + 155 + x) / 5 = 150

(615 + x) / 5 = 150

615 + x = 750

x = 750 - 615

x = 135 cm

Answer:

oh thats easy look so what you do is     500,000

                                                                   13,000

                                                                     1,000  

                                                                       200            

                                                                         90                    

Step-by-step explanation:                              2

your welcome ^^                                                                  

Step-by-step explanation:

Um sorry but I can not see the image clearly so I think that is why no one is answering. Sorry. No offense.

Answer:

3,125

Step-by-step explanation:

25 out of 200 is 12.5%

and 12.5% of 25,000 is 3,125

(I'm not sure)

perimeter of the shape

Area of the shape

The shape is a composed of two simpler parts which consists of, namely:

Therefore, the perimeter of the shape includes perimeter of semicircle and the perimeter triangle

To complete the perimeter of the triangle we add two sides of the triangle. the opposite and the adjacent of the right triangle is given so we solve for the hypotenuse.

The hypotenuse of the triangle = \(\sqrt{ 7^2 + 6^2}\) = 9.22 units

perimeter of the shape

= perimeter of triangle side + perimeter of semicircle side

= (9.22 + 6) + (3.142 * 3.5)

= 167.37 units

Area of the shape

= area of triangle + area of semicircle

= 1/2 x 7 x 6 + 1/2 x 3.142 x 3.5^2

= 21 + 19.24

= 40.24 square units

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Answer:   10

Step-by-step explanation: 96 divided by 3 is 32  

32 x 10 = 320 you can't get exactly 305.

Answer:

4 : 7

Step-by-step explanation:

Answer:

500 times

Step-by-step explanation:

Divide the thickness of a cat hair by the thickness of a human hair.

4.0 × 10^-1 / 8.0 × 10^-4 =

= 0.5 × 10^3

= 500

500 times

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.

To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:

cos(tan^(-1)(x)) = 1 / √(1 + x^2)

In this case, x is -2/3. Substituting the value into the identity:

cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)

Now, let's calculate the value:

cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)

                   = 1 / √(13/9)

                   = 1 / (√13/3)

                   = 3 / √13

                   = 3√13 / 13

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Answer:

slope == -1

Step-by-step explanation:

y-2 = -(x+1)

; y-2 = -x-1 expanding the bracket

; y = -x-1+2

; y = 1-x

hence slope equals -1

Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Answer:

Step-by-step explanation:

this is hard maybe ask your mom

Answer:

-37 / 4

Step-by-step explanation:

Answer:

OB. 12

Step-by-step explanation:

Since the die is a fair six-sided die and the question uses should... we know that a roll of "4" has a 1/6 chance to land every time the die is rolled.

1. 72 rolls * 1/6 chance to roll a 4 = 12 times

The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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After calculating The perimeter of rectangle is 46.52 in the given rectangle.

What is area of rectangle?

area of rectangle can be defined as the product of length and breadth.

Given ,

A rectangle has a length 20 5 /6 and

breadth = 2 3/7

The perimeter of rectangle  = 2 (l+b)

length = (120 + 5 ) / 6 = 125/ 6

breadth = (14+3) / 7  = 17/7

perimeter  = 2 (125/6 + 17/7 )

= 2 ( (125*7 + 17 * 6) / 42 )

= 2 (875+102) / 42

= 2 * 23.26

= 46.52

Hence, after calculating The perimeter of rectangle is 46.52 in the given rectangle.

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Answer:

I'm pretty sure that's true.

Answer:

cool question I love it

Answer:

where?

Step-by-step explanation:

The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

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Functions, f[g(1)] = 0.5 and g(g(1)) = g(-7) by using the details of question.

What are the Functions?

Given that the graphs of y = f(x) and y = g(x) intersect at (-2.5, 0.5), we know that f(-2.5) = g(-2.5) = 0.5.

To find g(1), we can use the equation of the line passing through the points (-3, 3) and (-2.5, 0.5). The slope of this line is:

m = (0.5 - 3) / (-2.5 + 3) = -2.5

So the equation of the line is:

y - 3 = -2.5(x + 3)

Simplifying this equation, we get:

y = -2.5x - 4.5

Therefore, g(1) = -2.5(1) - 4.5 = -7.

To find f[g(1)], we need to evaluate f(x) at x = g(1). Since we don't have an equation for f(x), we need to use the fact that the graphs of f(x) and g(x) intersect at (-2.5, 0.5). This means that:

f(g(1)) = f(-7) = 0.5

Therefore, f[g(1)] = 0.5.

Finally, to find g[g(1)], we need to evaluate g(x) at x = g(1). Since we know that g(1) = -7, we can write:

g(g(1)) = g(-7)

We don't know the equation of the function g(x), so we can't determine g(-7) without additional information.

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Complete question is: f[g(1)] = 0.5 and g(g(1)) = g(-7)

Answer:

B

Step-by-step explanation:

there is no angle e unless i am reading this incorrectly, but i double-checked all the other answer choices and they are all correct, so B is the answer:)

Answer:

see attached

Step-by-step explanation: