What is the measure of angle A?
Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth.

Answer:

5.50 + 2.25 ≥ c

Step-by-step explanation

Movie = 5.50

Popcorn = 2.25

C = The total cost

5.50 + 2.25 = C

The function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

The question is incomplete.

The complete question is:

Which function is increasing and has a domain of (1, ∞);

As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Graph the function f(t) = log(t – 1) + 2 on a coordinate plane.

As we can see in the graph, the graph of a function has a domain:

(0 , ∞)

And the function is increasing.

Thus, the function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.

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Answer:

A. f(t) = log(t – 1) + 2

Step-by-step explanation:

I took the test

The answer will be 7.45628

Answer:

x=19

Step-by-step explanation:

add together (8x-7) and (x+16) and set them equal to 180 because they are supplementary

and solve for x using your new equation

Answer:

f(- 2) = 8

Step-by-step explanation:

To evaluate f(- 2) , substitute x = - 2 into f(x) , that is

f(- 2) = 3(- 2)² + (- 2) - 2 = 3(4) - 2 - 2 = 12 - 4 = 8

Answer:

2000 minutes on 16 miles

Answer:

168.75 minutes

Step-by-step explanation:

Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.

Recalling that distance = speed times time, we recognize that

time = distance / speed

which here is  

(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec

The graph for the first is line segment joining (x, y) = (−2,−4)and (2, 4), sans the end points. The second part is the line through (-2, -6) and (-3, -9), from (-2, -6), excepting (-2, -6). ..

Step-by-step explanation: you are using y for the piecewise function.

Answer:

Yes

Step-by-step explanation:

What we know:

The watch has a 90-day warranty.

A week has 7 days.

6 weeks have 42 days.

To solve:

90 day warranty - 42 days of the 6 weeks = 48 days of warranty still left.

Note:

Hope it helps!

Answer:

D and B and E

Answer:

After 2 and a half years, Derek's bank account will have earned interest of $ 93.27.

Step-by-step explanation:

Given that Derek has a bank account that pays 4.1% simple interest, and he deposits $ 910 and leaves it in for 2.5 years, to determine how much interest does he earn, the following calculation must be performed, knowing that simple interest is not added to the initial capital:

(910 x 0.041) x 2.5 = X

37.31 x 2.5 = X

93.275 = X

Thus, after 2 and a half years, Derek's bank account will have earned interest of $ 93.27.

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

Explanation:

Let n be the number we want to find. We want n to be as small as possible, but also be a positive integer. Intuitively, we can see that n cannot be smaller than 16; otherwise, we don't meet the remainder requirements.

Divide n over 12 and we get some quotient x and remainder 3

So,

n/12 = (quotient) + (remainder)/12

n/12 = x + 3/12

Multiply both sides by 12 to end up with

n = 12x + 3

Similarly, if we divide over 16 we get some other quotient y and remainder 7

n/16 = y + 7/16

which turns into

n = 16y + 7

after multiplying both sides by 16

-----------

We have these two equations

Apply substitution and do a bit of rearranging like so

12x+3 = 16y+7

12x-16y = 7-3

4(3x-4y) = 4

3x-4y = 4/4

3x-4y = 1

The goal from here is to find the smallest positive integers x and y that make that equation true. We have a few options here and they are

Whichever method you use, you should find that (x,y) = (3,2) is the point we want.

Note how:

3x-4y = 1

3(3)-4(2) = 1

9-8 = 1

1 = 1

So that verifies (3,2) is on the line 3x-4y = 1.

Because x = 3 and y = 2, we know that

n = 12x + 3

n = 12*3 + 3

n = 39

and we can see that

n = 16y + 7

n = 16*2 + 7

n = 39

So 39 is the smallest such integer such that when we divide it over 12 and 16, we get remainders 3 and 7 respectively.

Here's a quick verification that we've fit the requirements.

39/12 = 3 remainder 3

39/16 = 2 remainder 7

We know we hit the smallest value of n because (x,y) was made to be the smallest positive integer solution to 3x-4y = 1. There are infinitely many positive integer (x,y) solutions to 3x-4y = 1, which in turn means there are infinitely many numbers n that satisfy the remainder conditions (but n is not the smallest possible in those cases).

Answer:

156.7

Step-by-step explanation:

Answer:

If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.

Answer:

5/8

Step-by-step explanation:

5/8 which is in simplest form

Answer:

5/8

Step-by-step explanation:

3/8+1/4 = 3/8+2/8 = 5/8

Answer:

I think she put it in the 2nd place because it has the smallest amount of x's , and 1 and 3 has more

Answer:

log (16)=2 in base 3x-5

==>16=2^(3x-5)

==>2^4=2^(3x-5)

==>4=3x-5

==>3x=9

==>x=3

Step-by-step explanation:

Answer: 732 mi

Step-by-step explanation:

Assuming you meant 24.4

Answer:

x11

Step-by-step explanation:

mega brain IQ

The relationship between the quantities x and y is option B. The relationship between quantities is ×11.

Direct variations are defined as the functions of the form y = kx, where k is a constant.

Here when y increases, x increases and if y decreases, x also decreases.

Given values of x are 1, 2, 3 and 4.

Given values of y are 11, 22, 33 and 44.

We have to find the relationship between x and y.

Let y = f(x).

f(1) = 11, f(2) = 22, f(3) = 33 and f(4) = 44

Clearly we can see that,

f(x) = 11x, which is a direct variation.

When x = 1, f(1) = 1 × 11 = 11

When x = 2, f(2) = 2 × 11 = 22

When x = 3, f(3) = 3 × 11 = 33

When x = 4, f(4) = 4 × 11 = 44

So the relationship is y = x × 11

Hence the relationship between quantities is ×11.

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Your question is incomplete. The complete question is as given below.

Use the table to find the relationship between the two quantities. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table?

The relationship between quantities is +10.

The relationship between quantities is ×11.

The relationship between quantities is –30.

The relationship between quantities is +20.

Answer:

5.25

Step-by-step explanation:

7x3 = 21

21/4 = 5.25

Answer:

5 1/4

Step-by-step explanation:

Answer:

3 + √5

Step-by-step explanation:

Find the square root of 14+6√5​

Change to √ ( 14 + 6√5 ) = √x + √y

1️⃣ Square.

14 + 6√5 = x + y + 2√xy

14 + 2√45 = ( x + y) + 2√xy

2️⃣ Compare.

(x + y) = 14

xy = 45

3️⃣ Solve.

(x - y)² = (x+y)² - 4xy

( x - y)² = 14² - 180

( x - y)² = 196 - 180

( x - y)² = 16

( x - y) = 4

x + y = 14

x - y = 4

2x = 18

x = 9 .

y = 5 .

14 + 6√5 = √9 + √5 = 3 + √5 .

Answer: 3 + √5 .

Done ✔

Answer:

7

Step-by-step explanation:

If each amount of time is a separate person, then 7

Answer:

Step-by-step explanation:

I think you mean a² + b² = c², not ca.

a = 10, c = 26

b² = c²  - a² = 26² - 10² = 576

b = √576 = 24 ft

Displacement means the distance traveled on a straight line to get to a certain destination. The interpretation of the given equation is option (a):

Given that:

[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]

First, we calculate how far the student traveled to arrive at the school.

This means that we calculate f(0).

So, we have:

[tex]f(0) = (0 + 1)(0 - 2)(0 - 3)[/tex]

[tex]f(0) = ( 1)( - 2)( - 3)[/tex]

[tex]f(0) = 6[/tex]

The student walked 6km to school

When x = 2, it means:

[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]

[tex]f(2) = (2 + 1)(2-2)(2 -3) = 0[/tex]

This means that the student got to school after 2 minutes

When x = 3, it means

[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]

[tex]f(3) = (3 + 1)(3-2)(3 -3) = 0[/tex]

This means that the student walked away, turned back and got to school after 3 minutes.

From the given options, option (a) fits the above description.

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