Mrs. Chin paid a 20 percent tip on the bill for lunch. Percents Total 20% 20% 20% 20% 20% 100% $2.75 $2.75 $2.75 $2.75 $2.75 If the tip amount was $2.75, what was the bill for lunch before the tip was added to it?

Answer:

So starting off with 1a f(4)

We simply substitute x with 4 for the function

f(4)=2(4)-5

f(4)=8-5

f(4)=3

Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).

gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.

g(4)=4^2+3

g(4)=16+3

g(4)=19

and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57

For the next two, I may be wrong, but I'm still going to try:

anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2

And then for g^-1, we'll have 1/g(x)=[tex]\sqrt{x-3} \sqrt{x-3}[/tex]

Hope I helped :)

Answer:

Probably 1

Step-by-step explanation:

I'm not sure, but I would think that if we wanted to round it to 5,000, we would want the number to be as close to 5,000 as possible.

Answer:

1 or 2

Step-by-step explanation:

5160.5 is less than 5,500 therefore it rounds down to 5,000.

5260.5 is less than 5,500 therefore it rounds down to 5,000.

Answer:

c. (x + 3)

Step-by-step explanation:

using factor theorem

if x - 3 is a factor then p(a) = 0

p(a)= x^3 - 3x^2 - 4x + 12

a.(x-3)

p(3) = (3)^3 - 3(3)^2 - 4(3) + 12

= 27 - 27 - 12 + 12

= 0

therefore x-3 is a factor

b.(x + 2)

p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12

= -8 -12 + 8 + 12

,= 0

therefore x + 2 is a factor

c.(x + 3)

p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12

= -27 -27 + 12 + 12

= -30

therefore x + 3 is not a factor

d.(x-2)

p(2) = (2)^3 - 3(2)^2 - 4(2) + 12

= 8 -12 - 8 + 12

= 0

therefore x - 2 is a factor

Answer:

Step-by-step explanation:

All the measuring angles above 180 degrees and less than 360 degrees are termed Reflex angles.

Eg: 239° is greater than 180° and lesser than 360° So it's a reflex angle

Answer:

49+49%2=73.5mile is the required answer

Answer:

6^8

Step-by-step explanation:

(6^2)^3*6^2

= 6^(2*3)*6^2

= 6^6*6^2

= 6^(6+2)

= 6^8

Answer:

111

Because other ones ends with even numbers (6, 2, 8)

Answer:

SOHCAHTOA

-opposite = 45

adj = x (32 degrees)

Tan(32)/x = 45/x

cross multiply to get your answer

Answer:

Step-by-step explanation:

angle k is 98 degree because angle k and 98 degree are alternate exterior angles and alternate exterior angles are equal.

Answer:

The answer is 1/8

Step-by-step explanation:

There are 4 marbles in the box and one of them is a yellow marble. The odds of getting a yellow marble fr the box is 1/4.

A number cube labeled 1 through 6 has 6 numbers, which are 1, 2, 3, 4, 5 and 6. The odd numbers in the cube are 1, 3 and 5. The probability of getting an odd number from the cube is 3/6, which is simplified to 1/2.

To find the probability of both cases occurring, both fractions should be multiplied.

1/4 * 1/2 = 1/8

Answer:

91.3 degrees celsius

Step-by-step explanation:

Here, we want to calculate the mean temperature of the 30 cups

From what we have here, if we multiplied the mean by the count of cups, we have the total

That means, we have the total temperature of all as;

(10 * 89.6) + (20 * 92.1) = 2,738

So to get the temperature of the thirty, we divide this by 30 as follows;

2,738/30 = 91.3

Answer:

A circle centred at (-1,3) and radius 3.

Step-by-step explanation:

Reject the null hypothesis and come to the conclusion that there is enough evidence to imply that the percentage of adults who are familiar with the company's name is much more than 40%.

In order to evaluate whether the percentage of individuals who recognize the company's brand name differs considerably from the company's target of 40%, we must conduct a hypothesis test.

Let p represent the percentage of adults who can name the company's brand. The corporation hopes that more than 40% of adults will recognize its brand name, hence the alternative hypothesis is that p > 0.4.

A one-sample z-test can be used to examine this claim. The test statistic is determined as follows:

[tex]z = \dfrac{(p' - p)} { \sqrt{\dfrac{(p (1 - p)} { n}}}[/tex]

Where p is the null hypothesis value, n is the sample size, and p is the sample proportion.

In this instance, n = 420, p = 0.4, and p' = 181/420 = 0.431. With these values entered into the formula, we obtain:

[tex]z = \dfrac{(0.431 - 0.4)} { \sqrt{(0.4 \times \dfrac{0.6} { 420} }}= 1.65[/tex]

The likelihood of obtaining a z-value of 1.65 or higher is 0.0495 using a basic normal distribution table or calculator (assuming the null hypothesis is true). This is the test's p-value.

When the p-value is less than 0.05, which is considered to be significant (and corresponds to a 95% confidence level), we

Hence, based on this sample of 420 adults, we would advise the company to keep running Super Bowl advertisements as it seems to be succeeding in raising brand recognition among the general public.

To know more about the null hypothesis follow

https://brainly.com/question/15980493

#SPJ6

Answer:

The polygons are similar.

Step-by-step explanation:

By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.

Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.

The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is [tex]\frac{3}{3.75}[/tex].

The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is [tex]\frac{5}{6.25}[/tex].

If these polygons are similar, these proportions must be equal.

[tex]\frac{3}{3.75}=\frac{5}{6.25},\\0.8=0.8\:\checkmark[/tex]

Checking, we see that these proportions are equal, and therefore the polygons are similar.

Answer:

15

Step-by-step explanation:

youre welcome have a great summer

Answer:

Step-by-step explanation:

It is in changing solving with the sign of | |

Answer:

8 cm

Step-by-step explanation:

Congruent means same. so x is 8

=====================================================

Explanation:

Use of a calculator will show that

2/3 = 0.6666...

where the 6's go on forever. Your teacher only wants 2 significant figures though. That means you'll round to the nearest hundredth to get 0.67

The 0 to the left of the decimal point is not a significant figure. The reason being is because we can rewrite 0.67 into 6.7*10^(-1); we can see the coefficient 6.7 having two sig figs.

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.

A scalene triangle is a triangle in which all the three sides of the triangle have different lengths hence, all the angles of the triangle also have different lengths.

Therefore the set of straw lengths that can be used a scalene triangle must have different lengths, for example:

5, 7 , 8

Answer:

C and E

Step-by-step explanation:

Answer:

2000 represents the original amount of butterfly's

3/4 represents the change in butterfly's

To find c) plug 3 in for t and solve.

Answer:

Following are the solution to the given question:

Step-by-step explanation:

For point a:

[tex]6.5 - 4.9 = 2.4 \\\\\frac{2.4}{1.2} = 2 \\\\\sigma \ \ so \ k = 2[/tex]

For point b:

[tex]\frac{3}{1.2}\ \ \sigma\ \ so \ k =\frac{3}{1.2} \ \ so\ \ 1- \frac{1}{k ^2} = 0.84[/tex]

For point c:

Once again, we have k = 2 though with Chebyshev discrepancy of witness numbers in the same number of standard deviations off mean = at least 75 percent.

Answer:

The radius is 25 cm

A

Step-by-step explanation:

Area =[tex]\pi[/tex]* r^2

Area = 625 * [tex]\pi[/tex]

625 [tex]\pi[/tex] = [tex]\pi[/tex] * r^2                     The [tex]\pi[/tex]s cancel out

r^2 = 625                              Take the square roots of both sides              

sqrt(r^2) = sqrt(625)

r = 25

Answer:

1570.8

Step-by-step explanation:

Radius=1/2 Diameter

V=PiR^2h

v=3.1416(10m)^2x5

v=1570

note: the answer can vary slightly depending on how many decimal points are used for Pi.

Answer:

option D

Step-by-step explanation:

4 hours = 40 miles/per hour

? hour = 55 miles/per hour

step one, find rate :

40 divided by 40

1 hour = 10 miles/per Hour

If 4 x 10 = 40

then  n x 10 = 55

It takes 5.5 OR 5.50 Hours/per hour for a Distance of 55 miles

Answer is Option D

Answer:

12

Step-by-step explanation:

Answer:

So the point of intersection would be -x=2x+6

and then we'll subtract 2x on both sides and get -3x=6

this will result in x=-2

Then we'll substitute that into y=-x, so y=2

Therefore the point of intersection is (-2,2)

Hope I helped, have a nice day :)

Answer:

6. The word ‘COMMITTEE’ has 9 letters.

So it can be permuted in 9 ways, but we’ve got letters repeating there. To avoid the same arrangements happening again, we eliminate the repetitions.

M repeats twice. T Twice. E twice.

7. If it must be greater than  2000 , the first digit must either be  2  or  3 , which means you will have  2  choices. After that, there will be  3  choices for the second digit. Then there will be  2  choices for the third digit. Lastly there will be just  1  choice for the last digit.

The number of permutations becomes  2×3×2×1=12 .

Step-by-step explanation:

Answer:

The word has 9 letters with 2 Ms, 2Ts and 2Es

We need 2 Ts together, this reduces the number of positions by one.

The number of ways:

Digits 0, 1, 2, 3

Number should be greater than 2000, it means the number is:

or

Total permutations:

Answer:

The capacity of tin is 0.17 liter.

Step-by-step explanation:

radius, r = 3 cm

height, h = 6 cm

The capacity of the tin is given by

[tex]V =\pi r^2 h\\\\V =3.14 \times 3\times 3\times 6\\\\V = 169.56 cm^3[/tex]

Now

1000 cubic cm = 1 liter

So, the capacity in liter is

V = 0.169 liter = 0.17 liter