f(a) = (a + 2)
g(a) = 5a + 4
Evaluate.
g(f(-2)) =

Answer:

$100

Step-by-step explanation:

you have eight bowls so you divide 160 by 8 and you get 20 so each bowl is 20 so 5x20=100

Answer:

100

Step-by-step explanation:

First, calulate the cost of each bowl, so, 160/8=20

Next, calculate how much total it costs, so 20x5, which the answer is $100

1) Answer:

\(h = \frac{3}{2} \)

2) Answer:

\(a = \frac{160}{3} \)

3) if you mean,

\( \frac{3}{5} x = 12\)

Then the answer is. x = 20.

but, if you mean

\( \frac{3}{5x} = 12\)

then the answer would be, x = 1/20.

4) Answer:

\(y = \frac{5}{7} \)

5) If you mean,

\( \frac{14}{3} = - \frac{7}{9b} \)

then the answer would be, b = -1/6

but if you mean,

\( \frac{14}{3} = - \frac{7}{9} b\)

then the answer would be, b = -6

The Solution:

Given:

We are asked to find the output when the input is 3.2

That is, find y when x = 3.2

Therefore, the correct answer is 5.4 [option 4]

hi

Step-by-step explanation:

a

12/22 aaannnssswwweeerrr

Answers:

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

Explanation:

BC = 78 is parallel to the midsegment DE.

This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39

-------

DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.

-------

BE = 34 for two reasons

--------

We don't use the info that AC = 48.

Answer:

32

Step-by-step explanation:

a-8=24

clt

a=24+8

a=32

Answer:

Step-by-step explanation:

CREAMNY

Answer:

168−2

Step-by-step explanation:

that is the answer update me if I’m wrong or right

Answer:

(4a^4)/b

Step-by-step explanation:

Rewrite the expression using the negative exponent rule
Then rewrite it as (4a^4)/b

Answer:

Therefore, your bill would have been approximately $421.75.

Step-by-step explanation:

Bill = 4267 kWh x $0.09884/kWh

= $421.75 (rounded to the nearest cent)

To find the arc length, we can use the formula:

\(\[ L = \frac{\theta}{360} \times 2\pi r \]\\Given:\( r = \frac{d}{2} = \frac{30}{2} = 15 \) ft\( \theta = 42 \) degrees\( \pi = 3.14 \)\\Substituting the given values into the formula:\[ L = \frac{42}{360} \times 2 \times 3.14 \times 15 \]\[ L = \frac{42}{360} \times 94.2 \]\[ L = \frac{3956.4}{360} \]\[ L \approx 10.99 \] ftTherefore, the arc length traveled by the car, to the nearest hundredth, is 10.99 feet. The correct option is c.\)

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Answer:

V = 648 in^3

Step-by-step explanation:

V = lwh

V = 9 x 6 x 12

V = 648 in^3

Answer:

648in^3

Step-by-step explanation:

V=whl=6·12·9=648in³

Answer:

1000

Step-by-step explanation:

see how to solve in pic

Product of first 10 natural numbers is 3628800.

What is natural numbers?

In arithmetic, the natural numbers are those numbers used for enumeration and ordering. Numbers used for enumeration are referred to as cardinal numbers, and numbers used for ordering are referred to as ordinal numbers

Main body:

The first ten natural numbers are 1,2,3,4,5,6,7,8,9,10.

The product is the multiple all numbers.

Product of first 10 natural numbers is given by,

P = 1*2*3*4*5*6*7*8*9*10

P =3628800.

Therefore, Product of first 10 natural numbers is 3628800.

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The total cost  of he meat with tax and tip is $ 22.42

To calculate the total cost with tax and tip, we need to follow these steps:

multiply the meal cost by the tip rate. when  the tip rate is 18%, we have:

Tip amount = $19.00 * 0.18 = $3.42

Add the meal cost, sales tax, and tip amount to get the total cost:

Total cost = Meal cost + Sales tax + Tip amount

= $19.00 + $3.42

= $ 22.42

Therefore, the total cost with tax and tip is $22.42

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Step-by-step explanation:

Original cost = 900

Cost after VAT = 990

VAT amount = 990 - 900 = 90

Rate of VAT = 90/900×100 = 90/9 = 10%

Answer:

9 days

Step-by-step explanation:

We are given that Mike has $36, if he spends 1/3 of this amount, the amount spent is the product of 36 and 1/3, that is:

Therefore, he spends $12 on the movie.

Now we are told that he spends 2/9 of the money, therefore, he spent:

In total, he spent $8 on the sandwich.

The money he has left is:

Therefore, he can't buy an $18 dollars book.

Answer:

I believe it's choice (3) because the exponent of x is 25 and it's the largest exponent of the choices.

Step-by-step explanation:

Answer:

C. 25x^10+3x-15

Step-by-step explanation:

The degree of 3x^8-2x^7+x^6 is 8

The degree of 5x-100 is 1

The degree of 25x^10+3x-15 is 10

The degree of 134x^2 is 2

Therefore the largest degree is 10

Answer:

I think the answer is C

Step-by-step explanation:

If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%

The expression best describes the new length of the cookie will be 1.25y.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The initial length of the cookie is y after baking the length is increased by 25%

=   y  +  25%y

=   y   +  ( 25 / 100 ) y

=   y  +  0.25 y

=  1.25 y

Therefore the expression best describes the new length of the cookie will be 1.25y.

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The final answers are as follows gross profit $321,600, cost of goods sold of $528,000 and balance due $782,980.

(a) The terms of the sale are 3/10, n/30 which means that if Cullumber Company pays the invoice within 10 days, they will receive a 3% discount on the total invoice amount. However, if they pay within 30 days, they will not receive a discount.

To calculate the amount due if Cullumber Company takes the discount:

$914,000 x 3/100 = $27,420

$914,000 - $27,420 = $886,580

To calculate the gross profit:

$914,000 - $592,400 = $321,600

(b) The return of merchandise means that Cullumber Company is returning $104,600 worth of merchandise and thus the amount due to Marin will be:

$886,580 - $104,600 = $782,980

And the cost of goods sold will be:

$592,400 - $64,400 = $528,000

(c) On March 12, Marin Company received the balance due from Cullumber Company which is $782,980.

This means that the net amount received by Marin Company after the discount and return of merchandise is $782,980.

Therefore, The final answers are as follows gross profit $321,600, cost of goods sold of $528,000 and balance due $782,980.

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Find the surface area of a Cuboid of length, breadth, and height equal to 12 cm, 8 cm and 5 cm respectively.

\( \bullet \) Length (l) of a Cuboid is 12 cm.

\( \bullet \) Breadth (b) of a Cuboid is 8 cm.

\( \bullet \) Height (h) of a Cuboid is 5 cm.

The surface area of a Cuboid.

We know,

Formula of surface area of a Cuboid is 2(lb + bh + lh) sq units.

So, Surface area of a Cuboid = 2(12×8 + 8×5 + 12×5) sq cm.

= 2(96 + 40 + 60) sq cm.

= 2 × 196

= 392 sq cm

Answer:

Median- 9

Minimum- 1

Step-by-step explanation:

Answer:

x=7

y=-5

Step-by-step explanation:

that is the answer

Answer:

B.84 sq.units

Step-by-step explanation:

Adding both rectangles

12 + 72

84sq.units

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The expected value of X is 100/663.

Let's consider the sequence of 3 number cards as an individual block, then we can see that there are 10 such blocks in the deck (2-3-4, 3-4-5, ..., 9-10-J, 10-J-Q), and there are 39 non-number cards in the deck.

Now, we can consider flipping the cards one by one and keep track of the number of times we see the beginning of a new block of 3 number cards. There are 50 positions in the deck where a block of 3 number cards could begin (the first 2 cards cannot start a block and the last 2 cards cannot end a block). For each position, the probability of seeing the beginning of a new block is given by:

P(new block) = P(first card is a number) x P(second card is the next number) x P(third card is the next number) = 10/52 x 4/51 x 4/50 = 2/663

Therefore, the expected value of X is:

E(X) = P(new block at position 1) + P(new block at position 2) + ... + P(new block at position 50) = 50 x P(new block) = 50 x 2/663 = 100/663

So, the expected value of X is 100/663.

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Answer:

180 km

Step-by-step explanation:

Let total length of journey = x

By train = 2/5x

By bus = 1/3x

By car = 1/4x

By foot = 3km

(2/5)x + (1/3)x + (1/4)x + 3 = x

L. C. M of 5, 3 and 4 = 60

(24x + 20x + 15x) / 60 = x

24x + 20x + 15x + 180= 60x

24x + 20x + 15x - 60x = - 180

-x = - 180

x = 180

Hence, total length of journey = 180km

The closest answer choice to this value is option 1, 33. Therefore, the best estimate for the unicity distance for an affine cipher is 33.

To find the best estimate for the unicity distance for an affine cipher, we can use the following formula:

Unicity Distance  (U) = (keyspace / entropy) × log2(1 / redundancy).

Given the answer choices:
1. 33
2. 35
3. 33
4. 26
5. 17.5

For an affine cipher, the keyspace is 26^2 (since there are 26 possibilities for both 'a' and 'b' in the equation

y = (ax + b) mod 26).

The entropy of English text is roughly 1.5 bits/character, and the redundancy is approximately 0.7.

Using the formula, we have:

U = (26^2 / 1.5) × log2(1 / 0.7)

U ≈ 33.49

Therefore, the best estimate for the unicity distance for an affine cipher is 33.

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