What is the length of BC?

if /sqrt equals this [tex]\sqrt{21}[/tex] then the answer lies between 4-5

Answer:

3*2*3^m*4^m=3^8*2^n

3^m+1*2^2m+1=3^8*2^n

m+1=8

m=7

2m+1=n

n=15

Step-by-step explanation:

Answer

inductive reasoning to prove a statement.

Step-by-step explanation:

contains a table with a logical series of statements and reasons. uses a visual chart of the logical flow of steps needed to reach a conclusion. contains a set of sentences explaining the steps needed to reach a conclusion.

Answer:

4(12+x) > 16

Hope it's helpful :p

Answer:

the answer is infact C.

Step-by-step explanation:

its c.

Answer:

3⁴

Step-by-step explanation:

Exponent Rule: [tex](b^m)(b^n) = b^{m+n}[/tex]

Apply the Exponent Rule.

3² · 3² = 3²⁺² = 3⁴

Answer:

I think its 81

Step-by-step explanation:

3^2=3x3=9

3^2=3x3=9

9x9=81

Answer:

4/3

Step-by-step explanation:

slope equation is y2-y1 over x2- x1. resulting in your slope of 4/3

Answer:

k Nishant

Step-by-step explanation:

the answer is option B

Answer:

125

Step-by-step explanation:

Any number to the power of 0 equals 1

5^0 = 1

5^3 = 5 × 5 × 5

5 × 5 × 5 = 25 × 5 = 125

1 × 125 = 125

Answer:

125

Step-by-step explanation:

5⁰×5³

1×5³

1×125

125

The bar was x units long.

Your friend took 1/4x

Subtract what your friend took from the original length:

X - 1/4x = 3/4x remaining.

Answer:

I would say yes because if you divide it it would terminate

Step-by-step explanation:

Answer:

$481.54

Step-by-step explanation:

672.33-(102.25+(2)44.27)

672.33-(102.25+88.54)

672.33-190.79

481.54

The probability is 0.771.

The answer rounded to the nearest thousandth.

The probability that the Yankees would score 5 or more runs when they win the game can be calculated by using the formula for conditional probability. It can be determined by dividing the probability that the Yankees win and score 5 or more runs by the probability that the Yankees win.

The formula for conditional probability is:

Conditional Probability = P(A and B) / P(B)Where A and B are two events.

In this case, the two events are the Yankees win and the Yankees score 5 or more runs. So, the probability that the Yankees would score 5 or more runs when they win the game is:
P(Yankees score 5 or more runs | Yankees win) = P(Yankees win and score 5 or more runs) / P(Yankees win)Using the given values:

P(Yankees score 5 or more runs | Yankees win) = 0.44 / 0.57 = 0.771.

This means that when the Yankees win a game, there is a 77.1% chance that they would score 5 or more runs.

The answer is rounded to the nearest thousandth.

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Answer:

B

Step-by-step explanation:

traditional notation states h:g

which is h/g

Answer:

[tex] - \frac{6}{7}p + \frac{1}{7} [/tex]

Step-by-step explanation:

Get rid of the parenthesis then combine like terms

Answer:

it's alphabetically backwards

Step-by-step explanation:

Answer:

a) 16

b) 36

c) 4

d) 81

Explanation:

Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers. The square root of a number, n, written below is the number that gives n when multiplied by itself.

Answer:

(-infinity, 6] U [-6, infinity)

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Evaluate

[tex](1+\sqrt{2})^3 + (1-\sqrt{2})^3[/tex]

As we have the Cube binomials:

[tex]\boxed{(a+b)^3=a^3+3a^2b+3ab^2+b^3}[/tex]

[tex]\boxed{(a-b)^3=a^3-3a^2b+3ab^2-b^3}[/tex]

[tex](1+\sqrt{2})^3 =1^3 + 3\cdot 1^2 \cdot\sqrt{2} + 3 \cdot 1 \cdot (\sqrt{2}) ^2 + (\sqrt{2}) ^3 = \boxed{7+5\sqrt{2}}[/tex]

[tex](1-\sqrt{2})^3 =1^3 - 3\cdot 1^2 \cdot\sqrt{2} + 3 \cdot 1 \cdot (\sqrt{2}) ^2 - (\sqrt{2}) ^3 = \boxed{7-5\sqrt{2}}[/tex]

[tex]\therefore (1+\sqrt{2})^3 + (1-\sqrt{2})^3 =7+5\sqrt{2} + 7-5\sqrt{2} = \boxed{14}[/tex]

Answer:

a. How many bowls could you glaze?

6 bowls

How many plates could you glaze?

10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

How many plates can you glaze?

2 plates

How much glaze will be left over?

8/9 of glaze would be left

c. How many of each object could you glaze so that there is no glaze left over? Explain how you found your answer.

4 4/23 bowls and 4 4/23 plates

Step-by-step explanation:

We are told in the question

Number of pints of glaze = 6 pints

Number of pints to glaze a bowl= 7/8 of pint

Number of pints to glaze a plate = 9/16 of a pint

a.

How many bowls could you glaze?

7/8 pint = 1 bowl

6 pints = x

Cross Multiply

x = 6 pints/ 7/8

= 6 × 8/7

= 48/7

= 6.8571428571 bowls

We can only glaze whole numbers of a bowl, hence, we can only glaze 6 bowls

How many plates could you glaze?

9/16 pint = 1 bowl

6 pints = y

y = 6 pints/ 9/16

= 6 × 16/9

= 10.666666667 plates

We can only glaze whole number of a plate, hence, we can only glaze 10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

1 bowl = 7/8 pints

5 bowls = z

Cross Multiply

z = 5 × 7/8pints

= 4 3/8 pints of glaze would be used for bowls

How many plates can you glaze?

The rest is for plates, hence:

The amount of glaze left for plates is calculated as:

6 pints - 4 3/8

1 5/8 pints of glaze would be left over to glaze plates.

So therefore,

9/16 pints = 1 plate

1 5/8 pints =

= 2 8/9

Hence we can only glaze 2 plates

How much glaze will be left over?

2 8/9 pints - 2 pints

= 8/9 pints of glaze.

c. How many of each object could you glaze so that there is no glaze left over?

We have 6 pints of glaze

Number of pints to glaze a bowl= 7/8 of pint

Number of pints to glaze a plate = 9/16 of a pint

Let the number of each objects be represented by x

7/8 × x + 9/16 × x = 6 pints

= 4 4/23 bowls and 4 4/23 plates

Answer:

5y=50

Step-by-step explanation:

3y - 8 = 22, right? So y would equal to 10 because 3x10 is 30 and 30 minus 8 is 22. Then you times 5 by 10 and get 50.

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Answer:

15

Step-by-step explanation:

Shawn: 35x - 250

Nick: 25x - 100

35x - 250 = 25x - 100

          10x = 150

              x = 15

Answer:

120km/h

600km in 5 hours.

Step-by-step explanation:

1000 meters is equal to 1 kilometer. 1 meter is equal to .001 kilometer.

You can set up an equation like this to solve for the car's rate in kilometers.

[tex]\frac{1 km}{1000 m} = \frac{x km}{35m}[/tex]  or  [tex]\frac{1000 m}{1000 km} = \frac{x m}{35km}[/tex].

Now crossmultiply either fraction to solve for x.

[tex]\frac{1 km}{1000 m} = \frac{x km}{35m}\\\frac{1 km}{1000 m}*35 = \frac{x km}{35m}*35\\\frac{35 km}{1000 m} = xkm[/tex]

The car is going at .035km/sec. Now we need to multiply this to get kilometers per hour. There are 60 seconds in a minute and there are 60 minutes in a hour.

[tex]\frac{35}{1000} * 60 * 60[/tex]

The car travels at 120km per hour.

Since we now know the rate in kilometers per hour. We can multiply the rate by 5 since the question asks how many kilometers the car will travel in 5 hours.

120 * 5 = 600

The car will travel 600km in 5 hours.

Step-by-step explanation:

to solve for a,

f(-1) = 5

a(-1)^2 + 1 = 5

a + 1 = 5, so a=4

The required value is [tex]a=4[/tex]

The given point is (-1,5)

And the graph is [tex]f(x)=ax^2+1[/tex]

Now, substituting the point into the given equation we get,

[tex]f(-1)=a(-1)^2+1=5\\a+1=5\\a=5-1\\a=4[/tex]

So, the required value is [tex]a=4[/tex].

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Answer:

I think 8 is the geometric

Answer:

69

Step-by-step explanation:

Answer:

[tex]\huge\boxed{No \ solutions}[/tex]

Step-by-step explanation:

Our first goal is to transform these words into numbers for an expression.

Let's break it down.

-7 times a number

We'll assume that the number is [tex]n[/tex]. -7 times a number can be represented as [tex]-7n[/tex].

8 times the sum of the number and 1

We can break this complex statement down.

8 times the sum of the number and 1

The sum of the number and 1 will be [tex]n+1[/tex]. 8 times that will be [tex]8(n+1)[/tex]. Since it says at the beginning the sum of, we add [tex]8(n+1)[/tex] to [tex]-7n[/tex].

[tex]-7n + 8(n+1)[/tex]

Is the same as the number minus 7.

"Is the same" means we use an equal sign. The number minus 7 will be [tex]n-7[/tex]. So we get [tex]-7n + 8(n+1)=n-7[/tex]

Now we can solve for n by reversing the equation until we have n isolated on one side.

[tex]-7n + 8n + 8 = n-7[/tex]

[tex]n + 8 = n-7[/tex]

[tex]8 = -7[/tex]

We end up with 8 = -7. This is not possible. Therefore, there are no real values of x that satisfy this equation.

Hope this helped!