Q2) The number of people signed up for a bus trip increased from 32 to
45. What is the percent increase?

Answer:

9:15 a.m

Step-by-step explanation:

Answer:

your answer will be 22

Step-by-step explanation:

if you add 20 by 2 it will give you 22 use a calculator if not sure but 22 is your answer

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]x\sqrt{x}[/tex]

We can rewrite this function as,

f(x) = [tex]x^{\frac{3}{2}}[/tex]

a). Domain of the function is [0, ∞)

Derivative of the function in this domain,

f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]

     = [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]

Since, f'(x) > 0 in the interval [0, ∞)

Function is increasing in the interval [0, ∞)

b). For local maxima and local minima,

  Second derivative of the function,

  f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]

         = [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex]  > 0

   So the function should have a local minima.

   But the function is continuous in the interval x ≥ 0,

   There is no local minima (only absolute minima).

c). Since, second derivative is undefined at x = 0,

   There are no inflection points.

d). Since, f"(x) > 0 in the interval [0, ∞)

   Concavity of the curve is UPWARDS.

Answer:

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Step-by-step explanation:

From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.

If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:

Angle A

[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)

[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]

[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]

[tex]A \approx 87.395^{\circ}[/tex]

Angle B

[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)

[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]

[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]

[tex]B\approx 57.271^{\circ}[/tex]

Angle C

[tex]C = 180^{\circ}-A-B[/tex]

[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]

[tex]C = 35.334^{\circ}[/tex]

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Answer:

x>2 or x>6

Step-by-step explanation:

2x+6<10 or 2x+8>20

2x>4 or 2x>12

x>2 or x>6

Inequalities help us to compare two unequal expressions. The correct option is D.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The two of the given inequalities can be solved as shown below.

2x + 6 < 10

Subtract 6 from both sides of the equation,

2x + 6 - 6 < 10 - 6

2x < 4

Divide both the sides of the equation by 2,

2x/2 < 4/2

x < 2

2x + 8 > 20

Subtract 8 from both sides of the equation,

2x + 8 - 8 > 20 - 8

2x > 12

Divide both the sides of the equation by 2,

2x/2 > 12/2

x > 6

Hence, the correct option is D.

Learn more about Inequality here:

https://brainly.com/question/19491153

#SPJ2

Answer:

46.2

Step-by-step explanation:

46.188= 46.2

Answer: 1*1/2

Step-by-step explanation: 1*1/2 equals 1/2 which is greater than zero but less than 1

The given statement is true for all real values between 0 and 1.

Important information:

The compound inequality is:

[tex]0<1\times n<1[/tex]

[tex]0<n<1[/tex]

Therefore, the given statement is true for all real values between 0 and 1.

Find out more about 'Compound inequality' here:

https://brainly.com/question/17086294

Answer:

The answer to the question provided is letter c.

Answer:

-1/30

Step-by-step explanation:

just subtract then divide.

(this is simplest form)

        nvm

my bad, i forgot some steps you can delete this answer if wanted.

Answer:

Each of the other side is 184 feet.

Step-by-step explanation:

Given that:

Length of two sides each = 104 feet

Total length of all sides = 576 feet

Let,

x be the length of other one side.

Length of other two sides will be 2x.

Total length of sides = 2x + 2(104)

576 = 2x + 208

2x = 576 -208

2x = 368

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{368}{2}\\x=184[/tex]

Hence,

Each of the other side is 184 feet.

Answer: 11:7

Step-by-step explanation:

66 is divisible by 6 = 11

42 is divisible by 6 = 7

GIVE BRAINLIEST!

Hey there!

DISTRIBUTE

3(–2x – 3) + 4x – 3 = 8

3(–2x) + 3(–3) + 4x – 3 = 8

COMBINE LIKE TERMS

–6x – 9 + 4x – 3 = 8

–2x – 12 = 8

ADD by 12 on BOTH SIDES

–2x – 12 + 12 = 8 + 12

CANCEL out: –12 + 12 because that gives 0

KEEP: 8 + 12 because it helps us solve for x

“8+ 12 = 20”

–2x = 20

DIVIDE by –2 on BOTH SIDES

–2x/–2 = 20/–2

CANCEL out: –2/–2 because that gives 1

KEEP: 20/–2 because that gives you x

“x = 20/–2”

Answer: x = –10 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

12.5%=.125, 1= 100%, .8=80% 8%=.08 .25= 25% .5 = 50% .01= 1% .005= 0.5%

Step-by-step explanation:

On the Decimal numbers just move the decimal place over 2 to the right

and add a percent

Answer:

they need to wash 39 cars

Step-by-step explanation:

600-61=539

539/14=38.5

round to 39

Answer:

A: 2/15

Hope this helped!

Answer:

B=34.2

C=105.8

c=12.0

Step-by-step explanation:

find B using the sine rule

(sin40÷8)=(sinB÷7)

rearrange

sin B= (sin40x7)÷8

sin B=0.562

make sure to use your calculator

then press shift sin to find B

B= 34.2°

to the nearest tenth means to 1 decimal place

sum of angles in a triangle is 180

so 180-(40+34.2)=105.8°=C

use sine rule again to find c

(sin105.8÷c)=(sin40÷8)

rearrange

c= (sin 105.8x8)÷sin40

c=12.0

Answer 1/25 or decimal 0.008

Step-by-step explanation:

Answer:

0.008

Step-by-step explanation:

helo

Answer:

the answer is yellow one

Answer:

The solution to the system of equations given is:

Step-by-step explanation:

First, we must see our two equations given:

We can use the reduction method, with this, we must eliminate a variable, in this case, de x variable, this can do multiply the equation 2 by (-2) and add the two equations:

     3. -4x+12y = -12

Now, we operate the equations 1 and 3:

     4. 13y = 39

We solve the equation 4 and obtain the value for "y":

With the value of "y," we can replace this value in equation 1 or 2 to obtain the value of "x," in this case, we're gonna use the equation 1:

In this form, we know the solution to the system of two equations is: x = 12 and y = 3.

Answer:

Laura's monthly payment will be $501, and her total finance charge over the course of the loan will be $5,060.

Step-by-step explanation:

Given that in a 5-year loan with an annual interest of 7.5%, the monthly payments for every $ 1,000 are $ 20.04, taking into account that Laura took a loan of $ 25,000, to determine the monthly payments and the total interest to be paid, they must be made the following calculations:

20.04 x 25 = X

501 = X

Thus, the monthly payments that Laura will have to make will be $ 501.

(501 x 12 x 5) - 25,000 = X

30,060 - 25,000 = X

5,060 = X

In turn, the total finance charge will be $ 5,060.

Answer:

D. 6

Step-by-step explanation:

Answer:

The given statement  Y = 7, x = 4 is False.

Step-by-step explanation:

We are given:

Y is inversely proportional to x, when Y = 7, x = 4.

We need to tell if the statement is True or False: the constant of proportionality, k, is 20.

Y is inversely proportional to x

We can write it as: [tex]y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}[/tex]

Now, we need to check when Y=7, x = 4 is true or false

We are given k = 20

Now, I can find value of y, by putting values of k and x in the equation:

[tex]y=\frac{k}{x}\\y=\frac{20}{4}\\y=5[/tex]

When we put x = 4, and k =20, we get Y=5 and not Y=7

So, The given statement  Y = 7, x = 4 is False.

Answer:

3

Step-by-step explanation:

n = (30-12) ÷ 6

n = 18 ÷ 6

n = 3

Answer:

the 1st answer is right

Step-by-step explanation:

Answer:

(1, 4)

Step-by-step explanation:

subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3

get rid of the (), which you will get 7x-x-3=3

combine like terms and get 6x-3=3

move 3 to the other side and divide both sides by 6 and get x=1

use the first equation y=x+3 and subsitude 1 for x and get y=1+3

y=4