Which function represents the graph of y=10(4)x ?



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Answer: 9 points per minute.

Step-by-step explanation:

Hi, answer this question we have to calculate the unite rate in points per minute; by dividing the number of points (117) by the number of minutes.

Mathematically speaking:

117 points / 13 minutes = 117/13= 9 points per minute

So, the unit rate is 9 points per minute.

Feel free to ask for more if needed or if you did not understand something.

82.80

32.75+39.88=72.63

72.63x1.14=82.7982 rounds to 82.80

4 Aces, 4 2's, 4 3's 4 4's

= 16 cards total out of 52 cards

 so probability would be 16/52 which reduces to 4/13

the probability of selecting a card smaller than 5 is [tex]\ = \frac{2}{5} \).[/tex]

Step 1

To calculate the probability of selecting a card with a number smaller than 5 (considering the ace as 1), we need to determine how many cards meet this condition and divide it by the total number of cards in the deck.

There are 4 suits in a standard deck of cards, each with cards numbered from 1 to 10 (excluding face cards).

For each suit, the numbers smaller than 5 are 1, 2, 3, and 4.

Step 2

So, for each suit, there are 4 cards smaller than 5.

Since there are 4 suits, the total number of cards smaller than 5 is [tex]\(4 \times 4 = 16\).[/tex]

Step 3

The total number of cards in the deck is [tex]\(4 \times 10 = 40\)[/tex], considering 4 suits with 10 cards each.

Therefore, the probability of selecting a card smaller than 5 is [tex]\( \frac{16}{40} = \frac{2}{5} \).[/tex]

Answer:

25

Step-by-step explanation:

Answer with Step-by-step explanation:

We are given a expression:

[tex]11x-2-3(1-7x)^2+(x+1)[/tex]

We have to determine the first step in the solution of the above expression.

First step will be to solve the term [tex](1-7x)^2[/tex]

We will firstly square the term 1-7x

[tex]11x-2-3(1-7x)^2+(x+1)\\\\=11x-2-3(1+49x^2-14x)+(x+1)\\\\=11x-2-3-147x^2+42x+x+1\\\\=-147x^2+54x-4[/tex]

Hence, First step is:

solve the term [tex](1-7x)^2[/tex]

1 3/4 quarts is equivalent to 56 fluid ounces. This conversion is done by first converting the mixed fraction to an improper fraction, and then multiplying by 32, which is the number of ounces in one quart.

The subject of your question is Mathematics, specifically a unit conversion problem. You want to convert 1 3/4 quarts of milk to fluid ounces. We know that there are 32 fluid ounces in one quart. So, to convert quarts to fluid ounces, we multiply the number of quarts by 32:

For 1 3/4 quarts:

1. First, convert the mixed fraction to an improper fraction: (1 * 4) + 3 = 7/4 quarts

2. Multiply by 32(our conversion factor from quarts to fluid ounces): (7/4) * 32 = 56

So, 1 3/4 quarts is equal to 56 fluid ounces.

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1/4a + 1/3a +8 =22

1st step add like terms:

1/4a +1/3a = 3/12a +4/12a = 7/12a

7/12a +8 =22

2nd step subtract 8 from each side:

7/12a = 14

3rd step divide both sides by 7/12 to get a:

a = 14 / 7/12

a = 24

Answer:

.

Step-by-step explanation:

1/4a + 1/3a +8 =22

1st step add like terms:

1/4a +1/3a = 3/12a +4/12a = 7/12a

7/12a +8 =22

2nd step subtract 8 from each side:

7/12a = 14

3rd step divide both sides by 7/12 to get a:

a = 14 / 7/12

a = 24

Answer:

it will take less than one day.

Step-by-step explanation:

A circuit board manufacturer can produce 2,000 boards per hour.

If the company has a 10 hour work shift.

manufacturer can produce in one day  = 2000 × 10 = 20,000

To produce 16,500 boards, they need time = 16,500 ÷ 2000  = 8.25 hours

The company will take to produce 16,500 boards in 8.25 hours less than one day.

Answer:

The correct option is C.

Step-by-step explanation:

The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.

The given terms are [tex]n^3t^2[/tex] and [tex]nt^4[/tex].

The factored form of each term is

[tex]n^3t^2=n\times n\times n\times t\times t[/tex]

[tex]nt^4=n\times t\times t\times t\times t[/tex]

To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.

[tex]LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t[/tex]

[tex]LCM(n^3t^2,nt^4)=n^3t^4[/tex]

The LCM of given terms is [tex]n^3t^4[/tex]. Therefore the correct option is C.

Answer: C) n 3t^4

Step-by-step explanation:

Definition : The least common multiple (LCM) of any two expressions is the smallest expression that is divisible by both expressions.

Given expressions : [tex]n^3 t^2 \text{ and } nt^4[/tex]

Factorization form of [tex]n^3 t^2 \text{ and } nt^4[/tex] will be :

[tex]n^3 t^2 =n\times n\times n\times t\times t[/tex]

tex]nt^4 =n \times t\times t\times t\times t[/tex]

The least common multiple of [tex]n^3 t^2 \text{ and } nt^4[/tex] :

[tex]n^3 t^2 =n\times n\times n\times t\times t\times t\times t=n^3t^4[/tex]

Hence, the LCM of   [tex]n^3 t^2 \text{ and } nt^4=n^3t^4[/tex]

Thus , the correct answer is option C).

Rounding 871 to the nearest ten gives us 870.

We have,

To round 871 to the nearest ten, we look at the ones digit, which is 1.

If the ones digit is 5 or greater, we round up to the next ten.

If the ones digit is less than 5, we round down to the previous ten.

In this case, the ones digit is 1, which is less than 5.

Therefore, we round down.

Rounding 871 to the nearest ten gives us 870.

Thus,

Rounding 871 to the nearest ten gives us 870.

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Answer: addition

Step-by-step explanation: