1. What is the binomial expansion of (x + 3)5? ​

Answer: c

Step-by-step explanation:

It has been given that the point (3,1) is on the graph.

And in order for the point (3,1) to lie on the graph, of all the given options the closest we can get is when we have Option C

Answer:

$100.5000

Step-by-step explanation:

becuse $9,500 is fived and it got it

90 per cent of the blend is watermelon juice.

Given that, Isabella has a dozen apples of the same size and a dozen watermelons of the same size.

Isabella uses her juicer to extract 15 ounces of watermelon juice from 3 watermelons and 5 ounces of apple juice from 9 apples.

We need to find what per cent of the blend is watermelon juice.

The percentage is a relative value indicating the hundredth part of any quantity. One per cent (symbolized 1%) is the hundredth part; thus, 100 per cent represents the entirety and 200 per cent specifies twice the given quantity.

Given that, she makes a watermelon-apple juice blend from an equal number of watermelons and apples.

So if she takes 9 apples, she can extract 5 ounces of juice.

By taking the same number of watermelons, that is 9 she can extract 15×3=45 ounces of juice.

Per cent of watermelon juice in the blend=45/50 ×100= 90%

Therefore, 90 per cent of the blend is watermelon juice.

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The Chee has to pay $35 to the pizza shop if she bought 12 slices of pizza this month and for x slices, the cost would be ($1.25x + 20)

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The membership costs $20 per month and members get a discounted price of $1.25 per slice of pizza.

Cost for 12 slices = 12×1.25 = $15

Total cost = 20 + 15 = $35 (for this month if  she bought 12 slices of pizza)

The monthly cost for x slices of pizza:

= 1.25x + 20

x is the number of slices

Thus, the Chee has to pay $35 to the pizza shop if she bought 12 slices of pizza this month and for x slices, the cost would be ($1.25x + 20)

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The equation would be y = kx with k being a constant.

Assuming the gravitational force is y and the mass of the body is x. y is directly proportional to the x.

Mathematically,

y = kx where k = constant.

If y = 19.6 Newtons and x = 2 kg, then

k = y/x = 19.6/2 = 9.8.

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Using proportions, it is found that the amount that netball will receive is of:

B. $240,000

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Due to the ratios, the proportion of funding that is destined to netball is given by:

[tex]p = \frac{2}{5 + 3 + 2} = \frac{2}{10} = 0.2[/tex]

Hence, out of $1.200,000, the amount destined to netball is:

A = 0.2 x $1.200,000 = $240,000.

Which means that option B is correct.

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The quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).

Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.

In the question, we are given an exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) and are asked to find the quotient of it.

To find the quotient, we will try to simplify the equation using the laws of exponents in the following way:-

(-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰),

= (-4/5)(a⁽⁸ ⁻ ⁽⁻⁴⁾⁾b⁽⁻² ⁻ ⁽⁻¹⁰⁾⁾) {Using the law of exponent: [tex]\frac{x^{a} }{x^{b} } =x^{(a-b)}[/tex] }

= (-4/5)(a¹²b⁸).

Therefore, the quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).

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Answer:

This point is not on the line, NOT TRUE

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

           b represents the y-intercept

where the format of a point is (x, y)

Given: y = 1/4x + 5, (−1, 6)

we can plug in the point (−1, 6)

6 = 1/4(-1) + 5

6 = -1/4 + 5

6 = 4.75

6 does not equal 4.75 so this point is not on the line

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Answer:26

Step-by-step explanation:

Answer:

52cm, based on my understanding of the question.

Step-by-step explanation:

See attached image.  Please confirm my understanding of the question.

Answer:

9

Step-by-step explanation:

Answer:

42.9%

Step-by-step explanation:

The total number of votes between Carlton and Will is [tex]60 + 45 = 105[/tex].

If we put Carlton's votes in a fraction over the total number of votes, we get [tex]\frac{45}{105}[/tex].

So, if we now multiply this fraction by 100, we will get the percentage amount:

[tex]\frac{45}{105} * 100 = 42.9[/tex]

This means that to 1 decimal place, the percentage of votes that Carlton received is 42.9%.

Answer:

Carton receive:

42.86%    (aprox)

Step-by-step explanation:

45 + 60 = 105

total votes = 105

Carlton received 45 votes

then:

45/105 = 0.4286       (aprox)

0.4286*100 = 42.86%

Answer:

288

Step-by-step explanation:

First position choice:   4 numbers

Second                         6 numbers

Third                             6

Fourth                           6

       TOTAL 4 digit numbers   4 * 6 * 6 * 6 = 864 combos

             2 out of 6 of these will end in 3 or 5  (thus making an odd number)

                    864 * 2/6 = 288 such numbers

C- 1/5

Step-by-step explanation:

a = 2 - 9a

10a = 2

a = 2/10

a = 1/5

Hope u got it (◠‿・)—☆

The unconditional probability of the event A, regardless of which subgroup it comes from is 38%

Let the events be represented as:

So, we have:

P(B) = 60%

P(C) = 40%

P(A | B) = 30%

P(A | C) = 50%

The probability is then calculated as:

P = P(A | B) * P(B)  + P(A | C) * P(C)

Substitute known values

P = 30% * 60% + 50% * 40%

Evaluate the product

P = 38%

Hence, the probability is 38%

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Answer:

105

Step-by-step explanation:

Angles HJG and HJG form a straight line so they add to 180

< HJG  + < FJG  = 180

75 + <FJG = 180

<FJG = 180-75

<FJG = 105

Answer:

C) 105

Step-by-step explanation:

HJG and KJF are vertical angles so they both equal 75 degrees.

A line is 180 degrees so 180-75=105 so 105 = is FJG

Answer:

I did 700 - 15% times that answer by 6 and u get that big answer.

The required amount Ahmet needs to pay after 6 years is $1619.14.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Amount = principal[1 + r/n]ⁿᵃ

Principal = P rate= r Time =a  , n = compounding frequency

Here,

From the given data,
P = 700, r = 15% and t = 6 (n =1)

Now,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 700(1 + 0.15)⁶
Amount = $1619.14

Thus, the required amount Ahmet needs to pay after 6 years is $1619.14.

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Answer:

A).

Step-by-step explanation:

The numbers should be in consecutive order e.g. - 6.2 6.3 6.4

Answer:

c =  68 m

Step-by-step explanation:

To find the hypotenuse 'c' use Pythagorean theorem

       hypotenuse² = base ² + altitude²

                    c²       = 60² + 32²

                               = 3600 + 1024

                               = 4624

                  [tex]\sf c=\sqrt{4624}\\\\ c= \sqrt{2*2*2*2*17*17}=2*2*17\\\\\boxed{\bf c = 68 \ m }[/tex]

Answer: Table 1: Answer = 1. 404

Table 3 Answer = 1.66

Step-by-step explanation: i hope it's right if not, tell me

Answer:

a

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

to find c substitute (6, 4 ) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = [tex]\frac{1}{3}[/tex] x + 2 ← equation of line

Answer:

is it radius or diameter?

Answer:

5 dollars :)

Step-by-step explanation:

ig

Answer:

Inequality: 64+C[tex]\geq 120\\\\[/tex]

               - 64.       -64

We subtract to isolate variable

Solution: [tex]C\geq 56[/tex]

Answer:

a^2+b^2=c^2

Step-by-step explanation:

You can apply this formula to any quadratic equation.

The Pythagorean Theorem is basically a way to find the side of a right triangle from the other two sides.

Take a look at this triangle labeled, a, b, c. (attachment)

Side a and b are called the legs. The largest side,  c  is called the hypotenuse.

In order to find a side, we have to use the formula…

Let’s do an example.

Consider the following triangle.

(attachment)

We want to find side c, which is actually the hypotenuse as it is unknown.

In order to find the missing side, we have to use the formula or the Pythagorean theorem. We substitute our values into a and b, while leaving the c-side as it is because that is what we are trying to find.

[Math Processing Error]

What does 13=c mean? It means that the missing side, c, from the triangle above is 13.

The mid-point of the numbers 3.8 and 4.1 will be 3.95.

Let C be the mid-point of the A and B.

C = (A + B) / 2

The numbers are given below.

3.8 and 4.1

Then the mid-point of the numbers 3.8 and 4.1 will be

C = (3.8 + 4.1) / 2

C = 7.9 / 2

C = 3.95

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ggggggggggggggggggggggg

Answer:

The answer is the second choice: 2, 3, 6, 13, 16.

Step-by-step explanation:

Which set of numbers that has an average of 8. To find the mean, which is the same as average, we have to add the number and divide by how many numbers there are. Let's check the first set of numbers:

3+5+7+8+12=35. 35/5=7. So, we can cross out the first choice.

Let's check the second one:

2+3+6+13+16=40. 40/5=8.

The answer is the second choice: 2, 3, 6, 13, 16.

Hope this helps!

If not, I am sorry.

Answer:

Its B

Step-by-step explanation:

If you add up all the numbers and divide by the number of numbers their is your answer

Using the Fundamental Counting Theorem, it is found that the number of outcomes possible in this scenario is given by:

D. 240.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

The number of options for each selection are given as follows:

[tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 2[/tex]

Hence the number of outcomes is given by:

N = 6 x 4 x 5 x 2 = 240.

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