PLEASE ANSWER

For Saturday’s debate tournament, Sarah ordered 3 cookies for each student participant and a tray of 30 cookies for the sponsors’ hospitality room. This relationship can be expressed by the function C = 3s + 30, where s is the number of student participants and C is the number of cookies ordered. Which is the dependent quantity in this functional relationship?

A. The number of cookies ordered
B. The number of trays ordered
C. The number of student participants
D. The number of sponsors

Answer:

16

Step-by-step explanation:

Answer:

[tex] {4}^{2} [/tex]

Step-by-step explanation:

[tex] {4}^{7} \times {4}^{ - 5} [/tex]

when the bases are same we add the powers to find the multiplier

So the answer is 7 + (-5) = 2

Answer:

Step-by-step explanation:

First, replace f(x) with y

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y .

Replace y with f−1(x) f − 1 ( x ) .

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Final answer:

To find the inverse of a function, you reverse the original operation, whether it's an exponential with its natural log, a square with a square root, or logarithms with their exponential counterpart. These inverses, like ln(e^x) = x, demonstrate how they 'undo' each other. The inverse log can be used to find the original number from its logarithm.

Explanation:

Understanding Inverse Functions

To find the inverse of a function, you essentially want to reverse the original operation. For example, an exponential function and its inverse, the natural logarithm (ln), undo each other. If you have an equation y = ex, taking the natural logarithm of both sides would give you ln(y) = x, which effectively isolates x. This demonstrates that ln(ex) = x and eln(x) = x, showing how these functions are inverses of each other.

Similarly, other function pairs such as sine and arcsine, or a power function and its corresponding root function, act as inverse operations. For instance, if you have a2 = c2 - b2, as in the Pythagorean Theorem, you would take the square root of both sides to find a. This 'undoes' the square, showing that (√()2) is the inverse function of squaring.

When it comes to logarithms, the process of finding an inverse is similar. If you take a logarithm of a number, you can find the original number by taking the inverse log or calculating 10to the power of the logarithm. If you have log10(x) = y, then 10y = x.

Answer:

Humberto multiplied 4 by 3, but that is incorrect, you are supposed to first do 3^2 and the multiply the answer by 4 to get 36.

The correct value is:  36

Step-by-step explanation:

Step 1:  Set t to 3

4t^2

4(3)^2

4(9) -> Correct way

36 -> Correct

Humberto

4(3)^2

(12)^2 -> Made mistake

144 -> Incorrect

Humberto multiplied 4 by 3, but that is incorrect, you are supposed to first do 3^2 and the multiply the answer by 4 to get 36.

The correct value is:  36

Answer:

The y-coordinates are the same

Step-by-step explanation:

Solution:

Given that,

zahra earns $80 each day plus a 6% commission on her sale at an appliance store

zahra has $900 in sales

Find the commission amount

commission amount = 6 % of 900

[tex]commission\ amount = \frac{6}{100} \times 900\\\\commission\ amount = 54[/tex]

Zara earnings including commission amount = 80 + 54 = 134

Thus Zara earned $ 134 on friday including commission

Answer:

y=-x+4

Step-by-step explanation:

Since the two lines are parallel, the slope would be negative x and the y intercept is 4

Answer:

y= - x + 4

Step-by-step explanation:

the two lines are parallel so the slope would be negative

Answer:

a. 990   b. 243   c. 693

Step-by-step explanation:

a.  1,800 * 0.55 = 990

b. 1,800 * 0.45 = 810

810 * 0.3 = 243 pretzels

c. 1,800 * 0.55 = 990

990 * 0.7 = 693 croissants

There are 990 croissants in the bakery shop. Out of 810 pretzels, 243 are coated with chocolate, and out of 990 croissants, 693 are coated with chocolate.

Number of Croissants and Coated Pastries

Let's begin by calculating the number of croissants in the bakery shop. If 45% of the pastries are pretzels, then the remaining 55% are croissants. We can calculate the number of croissants as follows:

Number of croissants = 55% of 1800
= 0.55 × 1800
= 990

This means there are 990 croissants in the bakery shop.

Next, let's find out how many pretzels are coated with chocolate. We already know that 45% of the pastries are pretzels, so first we determine the total number of pretzels:

Number of pretzels = 45% of 1800
= 0.45 × 1800
= 810

Now, 30% of these pretzels are coated with chocolate:

Chocolate-coated pretzels = 30% of 810
= 0.30 × 810
= 243

So, 243 pretzels are coated with chocolate.

Finally, we need to calculate how many croissants are coated with chocolate. We determined that there were 990 croissants, and 70% of them are coated with chocolate:

Chocolate-coated croissants = 70% of 990
= 0.70 × 990
= 693

Therefore, 693 croissants are coated with chocolate.

Answer:

Part A: What would be worth the car's worth in 2 years?

V(2) = $ 391,114.50

Part B. In how many years will the car be worth $325,000?​

t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days

Step-by-step explanation:

Part A: What would be worth the car's worth in 2 years?

If V(t) = 420,000(0.965) ^t, therefore:

V(2) = 420,000(0.965)²

V(2) = 420,000 * 0.931225

V(2) = $ 391,114.50

Part B. In how many years will the car be worth $325,000?​

If V(t) = 420,000(0.965) ^t, therefore:

325,000 = 420,000(0.965) ^t

325,000/420,000 = (0.965) ^t

0.7738 = 0.965^t

t = log 0.965(0.7738)

t = log 0.7738/log 0.965

t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days

0.2 years = 0.2 * 12 = 2.4 months

Step-by-step explanation:

[tex]10x - 4x + 6x = 12x = 6x + 6x \\ \\ 8(1 + 9y) = 8.1 + 8.9y = 8 + 72y[/tex]

Answer:

12x, 6x+6x for row one

8*1+8×9y, 8+72y for row two

Step-by-step explanation:

10x-4x is 6x, because they're like terms. 6x+6x=12x

Using the Distributive Property, 8(1+9y)=

(8*1)+(8*9y)

=

8+72y

Step-by-step explanation:

[tex]x = 70 \degree..(vertical \: \angle s) \\ \\ y = 70 \degree..(alternate \: \angle s) \\ \\ 2z = 70 \degree..(corresponding \: \angle s) \\ \\ \therefore \: z = 35\degree[/tex]

Answer:

Approximately 42 times larger

Step-by-step explanation:

The diameter of a sphere is 2,160 mm.

The diameter of a second sphere is 7,520 mm.

To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:

[tex]k = \frac{7520}{2160} [/tex]

[tex]k = 3.481[/tex]

To see how many times larger the volume is, we cube both sides

[tex] {k}^{3} = {3.481}^{3} [/tex]

This implies that

[tex] {k}^{3} = 42.181[/tex]

Therefore the volume of the second sphere is approximately 42 times larger

Answer: the answer is 926299.6

Step-by-step explanation: I hope this helps you

Answer:

[tex]926,299.6[/tex]

Step-by-step explanation:

[tex]8993.2 \\ \times 103 \\ =926,299.6[/tex]

thanks

hope this helps....

Answer:

12

Step-by-step explanation:

Let x be the number of gallons of water in lake Mead.

Given that  there is 326099 gallons in 1 acre-foot, we calculate Mead's gallons as:

[tex]1 acrefoot=326099g\\28945000acrefoot=x\\\\x=\frac{28945000acrefoot\times326099g}{1acrefoot}\\\\x=9.4\times 10^{12} \ gallons[/tex]

We now equate x to [tex]9.4\times10^a[/tex];

[tex]9.4\times 10^a=9.4\times 10^{12}\\\\a=12[/tex]

Hence, a=12

Answer:

x = 11 | Scale factor = 2

Step-by-step explanation:

As you can see, the 3 turns into a six meaning it multiplied by 2. Apply this to 5.5 to get 11. The 2 is your scale factor.

Answer:

it is 2 but whats under or over 2 because no one reads the question or says the right question or answer  

Step-by-step explanation

ill just put 2/2

Answer: You can use the formula  [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] (SEE EXPLANATION)

Step-by-step explanation:

Since the points are not written correctly, I will give you a general explanation about the procedure you should follow in order to find the distance between the two points.

By definition, the distance between two points can be calculated with the following formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

As you can observe, if you have two points:

 [tex](x_1,y_1)\\\\(x_2,y_2)[/tex]

The steps you must follow in order to solve the exercise, are the shown below:

Step 1. You can substitute the values of [tex]x_1,y_1,x_2[/tex] and [tex]y_2[/tex] into the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)}[/tex].

Step 2. You must evaluate in order to find the distance between those two points.

Height of Jaylah's fort =  243 inches

Step-by-step explanation:

Step 1:

Height of Cherie's fort = 181 inches

Height of Jaylah's fort = 62 inches taller than Cherie's fort

We need to find the actual height of Jaylah's fort

Step 2 :

Since we are given that Jaylah's fort is 62 inches taller than Cherie's fort the actual height of Jaylah's fort can be determined by adding the height of Jaylah's fort to that of Cherie's fort.

Hence

Height of Jaylah's fort = 181 + 62 = 243 inches

Step 3 :

Answer :

Height of Jaylah's fort =  243 inches

Answer:

  $5599.20

Step-by-step explanation:

The quarterly interest rate for the first two years was ...

  7%/4 = 0.0175

So, the multiplier each quarter for those 8 quarters was 1+0.0175 = 1.0175. At the end of the first 8 quarters, the account value had been multiplied by ...

  1.0175^8

For the next 8 quarters, the quarterly interest rate was 10%/4 = 0.025. So at the end of those 8 quarters, the balance had been multiplied by ...

  1.025^8

Then the balance at the end of 4 years was ...

  $4000(1.0175^8)(1.025^8) ≈ $5599.20

The balance was $5599.20.

Janet's family should save $13,000 per year for the next 6 years to achieve their goal of $78,000 for her college education.

To calculate this, we divide the total cost by the number of years until Janet starts college.

Total cost for a four-year college education: $78,000.

Number of years until college: 6 years.

Annual savings required: Total cost / Number of years

= $78,000 / 6 years

= $13,000 per year.

Answer:

y=-2x-7 D

Step-by-step explanation:

[tex]1)\ 3(2x + 5) = 6x + 15\\\\2)\ 7(p + 3q) = 7p + 21q\\\\3)\ 3m(n - 2m) = 3mn - 6m^2\\\\[/tex]

Solution:

Given that,

We have to expand the brackets

Use distributive property,

a(b + c) = ab + bc

Multiply the number in front of parenthesis with each term inside the parenthesis and then add them together

1)

[tex]3(2x + 5) = 3 \times 2x + 3 \times 5\\\\3(2x + 5) = 6x+15[/tex]

-------------------------------------------------

2)

[tex]7(p + 3q) = 7 \times p + 7 \times 3q\\\\7(p + 3q) =7p + 21q[/tex]

----------------------------------------------------

3)

[tex]3m(n-2m) = 3m \times n - 3m \times 2m\\\\3m(n-2m) = 3mn - 6m^2[/tex]

Thus the given expressions are expanded using distributive property

Answer:

4.8 miles

Step-by-step explanation:

6 : 55

X : 44

X/44 = 6/55

X = 4.8

x/44 = 6:55

6(44) = 55

6 (44) = 264

55x = 264

Divide both sides by 55

55x/ 55 = 264/55

Cancel out: 55x/55 because that gives you 1

Keep: 264/55 because it gives us our answer

Thus x = 4.8

Your answer: 4.8

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

i think the answer is 0.287

Step-by-step explanation:

i divided 28.7/100 which gave me 0.287

Answer:

The mass of a lead cube whose sides have length 1.5 cm is 40.5 grams

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Mass of the cube made out of lead = 12 grams

Side of the cube = 1 cm

2. What would be the mass of a lead cube whose sides have length 1.5 cm?

For answering the question, let's calculate the volume of the cube and then its density, this way:

Volume = Height * Width * Length

Volume = 1 * 1 * 1

Volume = 1 cm³

Let's recall the formula of the density:

Density = Mass/Volume, therefore:

Density of the lead = 12/1 = 12 gr/cm³

Now, let's calculate the volume of the second cube:

Volume = Height * Width * Length

Volume = 1.5 * 1.5 * 1.5

Volume = 3.375 cm³

Finally, let's calculate the mass, using the density of the lead we already know:

Density = Mass/Volume

12 = Mass/3.375

Mass = 12 * 3.375

Mass = 40.5 grams

Answer:

6,010,500,000

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

x              15

------  =   -----

20          100

20x5 is 100

What times 5 is 15? 3

Answer:

670$ gain

Step-by-step explanation:

After accounting for both the wage increase and the increased health insurance contribution, on average, each worker experiences a net gain of $670 annually.

The first step is to calculate the increase in wages due to the 3% increase in salary. This is calculated as follows: 3% of $39,000 is $1,170.

Next, we need to calculate the additional amount contributed toward health insurance, which has increased from 10% to 15%. This represents an increase of 5%. Thus, the added cost of health insurance is 5% of $10,000, which equals $500.

Finally, we can calculate the net change for the worker. This is achieved by subtracting the increase in health insurance contributions from the increase in wages. So, $1,170 - $500 equals $670 gain.

Hence, the correct option is (b), $670 gain.

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Answer:6

Step-by-step explanation:quick maths

Multiply the number of geese by the percent that will be alive:

1500 x 0.60 = 900

There will be 900 geese alive next year.

Answer:

900 geese

Step-by-step explanation:

Each year they decrease by 40%

part/whole

x/1500 = 60/100

60 x 1500 = 90000

90000/100 = 900

Answer:

0.16

To two decimal places

Step-by-step explanation:

0.4 + (0.5 + 0.2)

A question with more than one sign will be solved using the rule of BODMAS. Bracket Of Division, Multiplication, Addition and Subtraction.

In this question, we have Bracket and addition and it will be answered in that order.

0.4 + (0.5 + 0.2)

0.4+(0.7)

1.1 divided by 7

0.16

To 2 decimal places

Answer:

Exact Form:

√485

Decimal Form:

22.02271554…

Step-by-step explanation: