can someone help me please? thanks!

Answer:

A

Step-by-Step Explanation:

We want to find the limit:

[tex]\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}[/tex]

Use direct substitution.

Hence:

[tex]\displaystyle{\Rightarrow 2e^\frac{\pi}{2}\cos(\frac{\pi}{2}})[/tex]

Recall the unit circle. cos(π/2) is simply 0. Hence:

[tex]\displaystyle{\Rightarrow 2e^\frac{\pi}{2}(0)=0[/tex]

Therefore:

[tex]\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}=0[/tex]

So, our answer is A.

Answer:

increment :

= 20% × $6000

= $1200

present salary

= $6000 + $1200

= $7200

the answer is B

Answer:

B) 7200 dollars

Step-by-step explanation:

20/100 x 6000 = 1200

6000 + 1200 = 7200

Answer:

x = 5 and y = -5

Step-by-step explanation:

You can use algebra or graphing to solve this. I will be using algebra, with substitution.

Step 1: Move the 5 over in the 1st equation

3x + 2y = 5

x = y + 10

Step 2: Substitute in x

3(y + 10) + 2y = 5

Step 3: Distribute

3y + 30 + 2y = 5

Step 4: Combine like terms

5y + 30 = 5

Step 5: Move the 30 over

5y = -25

Step 6: Divide both sides by 5

y = -5

Step 7: Plug it back in into an original equation to find x

x = -5 + 10

x = 5

Answer:Answer:

x = 5 and y = -5

Step-by-step explanation:

You can use algebra or graphing to solve this. I will be using algebra, with substitution.

Step 1: Move the 5 over in the 1st equation

3x + 2y = 5

x = y + 10

Step 2: Substitute in x

3(y + 10) + 2y = 5

Step 3: Distribute

3y + 30 + 2y = 5

Step 4: Combine like terms

5y + 30 = 5

Step 5: Move the 30 over

5y = -25

Step 6: Divide both sides by 5

y = -5

Step 7: Plug it back in into an original equation to find x

x = -5 + 10

x = 5

Step-by-step explanation:

Answer: Graph C is correct

Step-by-step explanation:

The region below the dashed red line is y < 4/3x +2

The region below the solid purple line is y ≤ -1

The region below and left of the solid green line is y ≤ -3x

Answer:

C is correct

Step-by-step explanation:

Yes, most def

Answer:

The answer is "4"

Step-by-step explanation:

Given:

[tex]{F(x)= \left \{ {{2x+5\ \ \ \ -6 < x \leq 0} \atop {-2x+3 \ \ \ 0<x\leq4} \right.}[/tex]

The domain was its input (or x values) of its function.  

It begins at -6 (and doesn't include) or ends on +4 (it was included)

The final answer is "4", and value is "[tex]-2x+3 \ \ \ 0<x\leq4[/tex]".

Answer:

Step-by-step explanation:

correct one is b

The probability that a student chosen randomly from the class plays basketball or baseball is 0.56. 

We are able to utilize the equation:

P(B or b) = P(B) + P(b) - P(B and b)

where

B speaks to playing ball

and b speaks about playing baseball.

From the given data, we have:

P(B) = 5/27 (the likelihood of playing ball)

P(b) = 12/27 (the likelihood of playing baseball)

P(B and b) = 2/27 (the likelihood of playing both sports)

Substituting these values into the equation, we get:

P(B or b) = P(B) + P(b) - P(B and b)

= 5/27 + 12/27 - 2/27

= 15/27

= 5/9

Hence, the likelihood that an understudy chosen haphazardly from the course plays ball or baseball is 5/9 or around 0.56. 

To know more about probability refer to this :

https://brainly.com/question/24756209

#SPJ1

Hi,

Sammy has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months.

How much is in Sammy's account at the end of the 6 months?

25.50 × 6 = $153

In 6 months she deposits $153 into the account.

So :

125.75 + 153 = $278.75

At the end of the 6 months Sammy has $278.75 in her savings account.

Answer:

3018

Step-by-step explanation:

an = a1 + (n-1)d

a1 is the first term in the sequence = 24

n is the term number which is 500

d is the common difference

Take the second term and subtract the first term to find the common difference

d = 30-24 = 6

a500 = 24 + (500-1) *6

          =24+ 499*6

          =24 + 2994

          =3018

Answer:

3018 is the correct answer.

Answer:

radius x radius x pi = area of circle

6 x 6 = 36

36 x 3.14 = 113.04

113.04

Hope this helps

Step-by-step explanation:

Answer:

C) 962m(squared)

Step-by-step explanation:

Area=pi*r squared

Pi*17.5(squared)

Answer=962m(squared)

Answer:

He is 200 meters south of his house.

Step-by-step explanation:

Say north is positive and south is negative, but your answer will be the absolute value. He goes 250m North. He then goes 450m south which would translate into a problem as 250-450=|-200|=200. In simpler terms think of the road as a number line where north is positive and south is negative and your house is zero, you want the distance on the line from zero.

Answer:

D

Step-by-step explanation:

49x² - 81y² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b) , thus

49x² - 81y²

= (7x)² - (9y)²

= (7x + 9y)(7x - 9y) → D

Answer:

[tex] = (7x - 9y)(7x + 9y) [/tex]

Answer D is correct

Step-by-step explanation:

[tex]49 {x}^{2} - 81 {y}^{2} \\ {7}^{2} {x}^{2} - {9}^{2} {y}^{2} \\ = (7x - 9y)(7x + 9y) [/tex]

hope this helps

Answer:

Region B

Step-by-step explanation:

The solution to the system is the point at which the two lines intersect, which would be in Region B.

Answer:

(5,0) is the only solution out of those points

Step-by-step explanation:

If you graph the 2 inequalities you'll notice the point (0,-2) falls on the dotted line, since the line is dotted this can not be a solution as a dotted line entails that anything on that line is not a solution, for the point (3,13) it doesn't fall in a solution for either inequality due to what I just stated, the point (5,0) on the other hand falls in the domain and range of both inequalities.

Answer:

48 students

Step-by-step explanation:

Girls who sing : girls who don't sing = 1 : 2

Let total number of girl be x

Part of girls who sing = (1/3)x

Part of girls who sing = 8

                              [tex]\frac{1}{3}x=8\\\\x =8*\frac{3}{1}\\[/tex]

                             x = 24

Number of girls = 24

Girls : boys = 1 : 1

Number of boys = number of girls

Total students in the show = 24 + 24 = 48

Answer:

D : x² + y² = 64

Step-by-step explanation:

x² + y² = 8²

x² + y² = 64

therefore, your answer is 64

Answer:

D

Step-by-step explanation:

The circle equation is (x-h)² + (x-k)² = r²

Where (h,k) is the center of the circle and r is the radius

Since the center of this circle is at the origin and the radius is 8,

the equation will be x² + y² = 64

Answer:

Step-by-step explanation:

Let the shape of the vase be a cylindrical shape

the volume of the cylinder is given as

let the depth be h

[tex]v= \pi r^2h[/tex]

Given

radius r= 5 cm

volume v= 1000 cm

height h= ?

Substituting the values we can find the depth(h)

[tex]1000= 3.142*5^2*h\\1000= 3.142*25*h\\\\1000= 78.55*h\\[/tex]

Dividing both sides by 78.55 we have

[tex]h= \frac{1000}{78.55} \\\h= 12.73[/tex]

to 1 dp h= 12.7 cm

C. (-4,-⅔)

Step-by-step explanation:

Elimination Method:

R - 9S = 2

3R - 3S = -10

I'll solve for X first by eliminating S.

R - 9S = 2

-3(3R - 3S = -10)

R - 9S = 2

-9R + 9S = 30

(Add the equations)

-9R = 32

(Divide both sides by -9)

-9R/-5 = 32/-5

R = -4

Substitute the R value into either equation:

R - 9S = 2

(-4) - 9S = 2 (Add 4 to both sides of the equation)

+4 +4

-9S = 6 (Divide both sides of the equation by -9)

-9S/-9 = 6/-9

S = -6/9

Simplify

S = -2/3

Solution: (-4,-⅔)

Hope this helped

Answer:

(-1, 5), (2, -1), (0, 3)

Answer:

Minus sign & it represents that the money is a debt

Step-by-step explanation:

Quiana took a loan of $15,234.68. This is also the same amount of money that Quiana wil return to the lender.

A minus sign (-) was inserted before the amount of money that Quiana borrowed. It represents that the money is a debt that Quiana owes and she will have to return (pay back) to the lender.

Answer:

Step-by-step explanation:

its either

10081/9

1201/1000

1201201/10000000

i hope its one of these

Answer:

8x + 1y

Step-by-step explanation:

3(2x - y) + 2y + 2(x + y)

use destributive property

6x - 3y + 2y + 2x + 2y

combine like terms

6x - 3y + 4y + 2x

6x + 1y +2x

8x + 1y

Answer

The chosen topic is not meant for use with this type of problem. Try the examples below.

(4,4) ⋅ (4,4)

(12,-5) - (5,6)

(-5,8) ⋅ (2,4)

Step-by-step explanation:

Answer:

3a³ - 6a² - 2

Step-by-step explanation:

X²Y - Z

= a²(3a - 5) - (a² + 2) ← distribute both parenthesis

= 3a³ - 5a² - a² - 2 ← collect like terms

= 3a³ - 6a² - 2

Answer:

its B on edge

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

hexagon is 6 sided shape. 10 * 6=60

Answer:

the answer for this question is D

Answer:

Correct answer is actually B

Step-by-step explanation:

I used someone’s answer with their work shown for my test

Answer:

[tex]d=2\sqrt{5}[/tex] units

Step-by-step explanation:

[tex]\text{Distance, }d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$If ( x_1 , y_1 ) = ( 0 , - 5 )$ and ( x_2 , y_2 ) = ( 4 , - 3 )\\\\d=\sqrt{(4-0)^2+(-3-(-5))^2} \\=\sqrt{4^2+(-3+5)^2}\\=\sqrt{4^2+2^2}\\=\sqrt{20}\\\\d=2\sqrt{5}$ units[/tex]