By copying and completing the working below, work out 3 + 1 16 Give your answer as a fraction in its simplest form.

9514 1404 393

Answer:

  6 = ∛216

Step-by-step explanation:

The equivalent exponential form is ...

  6³ = 216

Then the index form is ...

  6 = ∛216

The circumference of a circle is the total length of the boundary of the circle. So that the length of lace trim required is 597.1429 cm.

The diameter of the table is 60 cm, which has 65 cm tablecloth hanging on its sides. The diameter of the cloth required would be the length from one side to the other side. So that the total diameter of the tablecloth is:

= 60 cm + 2*65 cm

= 60 cm + 130 cm

= 190 cm

The diameter of the tablecloth required is 190 cm.

Thus to determine the circumference of the tablecloth, we have;

C = 2[tex]\pi[/tex]r

   = [tex]\pi[/tex]D

where D is the diameter of the tablecloth.

C = [tex]\frac{22}{7}[/tex] x 190

   = 597.1429

C = 597.1429 cm

Therefore, the length of lace trim required for the edge of the tablecloth is 597.1429 cm.

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Answer:

$345

Step-by-step explanation:

2415 divided by 7 equals your total per ticket.

Answer:

1:3

Step-by-step explanation:

To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.

The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2

Hope it helps

Answer:

12

Step-by-step explanation:

412 ÷ 34 = 12.1176...

Round down to 12 cakes

If  Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes then Lin can bae 12 cakes.

A division is a process of splitting a specific amount into equal parts.

Given that Lin is baking cakes. Each cake needs 34 cup of brown suga

Lin uses 412 cups of brown sugar for the entire batch of cakes

We need to find the number of cakes Lin bake with 412 cups of brown sugar.

To find this we have to divide 412 by 34 cup.

412/34

Four hundred twelve by thirty four

12.111

Hence, if  Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes then Lin can bae 12 cakes.

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Answer:

an exponent is the small number written above and to the right of a number

on a keyboard it is written like (^) that

ex. If you were saying 2 to the power of 2, you would write it as 2^2

when you see that number, that number is telling you how many times you multiply that number by itself, ex. 2^2 is telling you to multiply 2 by itself

Step-by-step explanation:

to be honest i dont remember srry

Answer:

Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.

Step-by-step explanation:

the answer is y=1x because you have to use rise over run and the y intercept is 0.

Answer:

-6/5

Step-by-step explanation:

The slope of perpendicular lines multiply to -1

5/6 * p = -1

Multiply each side by 6/5

6/5 * 5/6 * p = -1 * 6/5

p = -6/5

The slope of the perpendicular line is -6/5

Answer:

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the  values in a function such as ). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an  value in.

Step-by-step explanation:

Answer:

A 4 kilo hopes this helps :)

Step-by-step explanation:

Answer: g=2

Step-by-step explanation:

Remove the parentheses

7- (-3)g=13

Move the constant to the right

7+3g=13

Calculate

3g=13-7

Divide both sides

39=6

Answer:

g=2

Answer:

w is 10 and l is 5

Step-by-step explanation:

l=w-5

lw=50

w^2-5w-50=(w-10)(w+5) since the negative solution does not make sense w=10 and therefore l is 5 so the length is 5 while the width is 10

Answer:

10

Step-by-step explanation:

2 → $3500

? → $17500

? = 17500 x 2 / 3500 = 3500/3500 = 10

OR

3500 → 2

3500/2 = 1750

17500/1750 = 10

Therefore, whatever method you use, you will get 10 as an answer.

Answer:

it would be A

Step-by-step explanation:

because 4x-7=1

x=2

4(2)-7=1

8-7=1

I hope this helps you

Answer:

1/10

Step-by-step explanation:

-3/10+4/10=4/10-3/10

                =1/10

Answer:

10u-16

Step-by-step explanation:

Formula for perimeter of a rectangle is 2l+2w, where l and w represent length and width respectively. Applying this formula here, we get 2(5u-10)+2(2), which is a simple expression to simplify:

2(5u-10)+2(2) = 2(5u)-2(10)+2(2) = 10u-20+4 = 10u-16

Answer:

Step-by-step explanation:

Perimeter = 5u - 10 + 5u - 10 + 2 + 2

= 10u - 16...ans

⇒

A bank statement is a list of all transactions for a bank account over a set period, usually monthly. The statement includes deposits, charges, withdrawals, as well as the beginning and ending balance for the period.

The top of a bank statement generally shows the name of the account holder along with sensitive information such as bank account number and branch number. It also contains a summary table that shows the time period, opening balance, deposits, withdrawals, and closing balance.

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Answer: 3pi

Step-by-step explanation:

Guessed and it was right, sorry don’t have an explanation.

The rate of change of the area of the circle at that instant in square meters per hour will be 3π.

The pace at which one quantity changes in relation to another is known as the rate of change function.

Given that the circumference of a circle is increasing at a rate of π / 2 m/h at a certain instant the circumference is 12 π meters.

The rate of change of circumference will be calculated as,

dc/dt = π/2

d (2πr)/ dt = π / 2

dr / dt = 1 / 4

The rate of change in the area,

A = πr²

dA / dt = ( 2πr )  dr / dt

dA/dt = 12π x ( 1 / 4)

dA/dt = 3π

Therefore, the rate of change of the area of the circle at that instant in square meters per hour will be 3π.

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Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I'll help you with your problem today. I hope you are having a nice day!

The Function

First of all, to figure out the function and how it will work, with that, we can see that it is a parabola, a parabola is a function which looks like a curve in which the multiplication of the [tex]x[/tex] cation, when more smaller, is more wider.

Parabola's also have two ways they go, them being upwards and downwards which in the quadratic formula are figured out by the a catition.

[tex]ax^2+bx+c=0[/tex]

Solving

So, we know to find for [tex]f(1)[/tex] we have to find what is y when x is 1. To solve for that, we can look at the function's graph and see that when x is one, y is 5.

Solution

To solve for this, we can usually just look at the graph to see where the point where we need to find is, but, we also might have to graph the equation if the graph is not already given.

So our answer would be [tex]y=5[/tex] and/or [tex](1,5)[/tex]

Cheers!

Answer:

most of them would be 0

Step-by-step explanation:

Answer:   3^4 · 3^-9 = 3^4 · 1/3^9

Step-by-step explanation:

Answer:

I already answered this for someone, but what you want to do is combine/cancel out like terms. So cancel out x on 2+7x/x to get 2+7/1. The first step in solving most rational equations is combining/canceling like terms, so follow through with that here.

Answer:

the number that appears the most in a data set

Step-by-step explanation:

example

3,4,5,2,3,3,3,7,7

Mode:3

Answer:

y = 2/3x-6

Step-by-step explanation:

up 2, right 3

Answer:

Below.

Step-by-step explanation:

f) (a + b)^3 - 4(a + b)^2  

The (a+ b)^2 can be taken out to give:

= (a + b)^2(a + b - 4)

= (a + b)(a + b)(a + b - 4).

g)  3x(x - y) - 6(-x + y)

=  3x( x - y) + 6(x - y)

= (3x + 6)(x - y)

= 3(x + 2)(x - y).

h) (6a - 5b)(c - d) + (3a + 4b)(d - c)

=  (6a - 5b)(c - d) + (-3a - 4b)(c - d)

= -(c - d)(6a - 5b)(3a + 4b).

i)  -3d(-9a - 2b) + 2c (9a + 2b)

= 3d(9a + 2b) + 2c (9a + 2b)

=  3d(9a + 2b) + 2c (9a + 2b).

= (3d + 2c)(9a + 2b).

j)  a^2b^3(2a + 1) - 6ab^2(-1 - 2a)

=  a^2b^3(2a + 1) + 6ab^2(2a + 1)

= (2a + 1)( a^2b^3 + 6ab^2)

The GCF of a^2b^3 and  6ab^2 is ab^2, so we have:

(2a + 1)ab^2(ab + 6)

= ab^2(ab + 6)(2a + 1).

Answer:

Step-by-step explanation:

(1 - i) / (sqrt(3 + 4i)

= (1 - i) / [tex]\sqrt{3 + 4i}[/tex]

=> multiply and divide by conjugate of denominator

= [tex](1 - i) / \sqrt{3 + 4i} * \sqrt{3 - 4i} / \sqrt{4 - 3i}[/tex]

= [tex](1 - i)*(\sqrt{3 - 4i} ) / (\sqrt{3 + 4i} *\sqrt{3 - 4i})[/tex]

= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - 16i^{2} )[/tex]

= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - (-16) )[/tex]

= [tex](1 - i) * \sqrt{3 - 4i} ) / \sqrt{25}[/tex]

= [tex](1 - i) * \sqrt{3 - 4i} / 5[/tex]

= [tex]\sqrt{(1 - i)^{2} } * \sqrt{3 - 4i} / 5[/tex]

= [tex]\sqrt{(1 + -1 -2i)*(3 - 4i)} / 5 \\\sqrt{-2i * (3 - 4i)} / 5\\\sqrt{-6i + 8*-1} /5 \\\sqrt{-6i - 8 } / 5[/tex]

Answer:

880 feet per hour.

Step-by-step explanation:

26 inches to foot = 2.2

9 seconds to hour =  0.0025

2.2/0.0025 = 880 feet per hour.

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