If p= (5,4) find the image of p under 90 degree counterclockwise about the origin

Answer:

1.1  R5.83

1.2 R70.01

1.3 58.34%

Step-by-step explanation:

Given that he buys a pack of 12 racing cars  for  R49,99 then the unit cost for a car which is the total cost divided by the number of cars in a pack

= R49,99/12

= R4.17

If each car is sold for R10 then the profit made on each car which is the difference between the cost and the selling price

= R10 - R4.17

= R5.83

The profit margin on one pack of 12 racing cars

Profit margin is the ratio of the profit to the total selling price

The total profit (profit on one pack of 12 racing cars)

= R5.83 * 12

=R70.01

Total selling price = R10 * 12

=R120

Margin = R70.01 / R120

= 58.34%

Answer:

The answer is -2

Step-by-step explanation:

Hope it helps :)

The simplified form of the expression [tex]\sqrt[5]{1215}[/tex] is [tex]3\sqrt[5]{5}[/tex].

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

Given, A radical [tex]\sqrt[5]{1215}[/tex].

Now we'll prime factor 1215.

= [tex]\sqrt[5]{5\times243}[/tex]

= [tex]\sqrt[5]{5\times3\times81}[/tex].

= [tex]\sqrt[5]{5\times3\times3\times3\times3\times3}[/tex].

= [tex]3\sqrt[5]{5}[/tex].

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Answer:

78 cm³ of space is left inside the closet.

Step-by-step explanation:

Given that,

A closet is is 5 feet wide, 3 feet long, and 6 feet tall. A box with dimensions 2 ft × 3 ft × 2 ft is inside the closet.

We need to find the space is left inside the closet around the box.

Space left = volume of the closet - volume of the box

= 5×3×6 - 2×3×2

= 90 - 12

= 78 cm³

So, 78 cm³ of space is left inside the closet.

Answer:

where is the other part of the question

The three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4  and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.

What is ratio?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

First we have to write the equivalent ratios for 75%.

Since, 75% can be written as,

75/100

Simplifying this, 15/20

Again simplifying this, 3/4

Hence, the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4.

Now to write the equivalent ratios for 100%.

Since, 100% can be written as,

100/100

Simplifying this, 20/20

Again simplifying this, 4/4

Hence, the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.

Therefore,  the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4  and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.

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she will be able to knit 13 scarfs

Given ,

To Find : Scarfs Mr John will be able to make if he has 30.42 yards of yarn

2.34 yards of yarn = 1 scarf

30.42 yards of yarn = [tex]\frac{30.42}{2.34}[/tex]

                                 = 13 scarfs

Hence , the number of scarfs Mr John will make with 30.42 yards of yarn is 13

Answer:

-5

Step-by-step explanation:

[tex]\frac{5}{12.5} = \frac{-4}{2x}[/tex]

[tex]5 \cdot 2x = 12.5 \cdot -4[/tex]

[tex]10x = -50[/tex]

[tex]x=-5[/tex]

Answer:

~22381

Step-by-step explanation:

a=starting value = 18000

r=rate = 2%=0.02

Exponential Growth:

b=1+r=1+0.02=1.02

b=1+r=1+0.02=1.02

Write Exponential Function:

y=18000(1.02)^x

y=18000(1.02)

x

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=18000(1.02)^{11}

y=18000(1.02)

11

Evauate:

y= 22380.73755

y=22380.73755

Round:

y\approx 22381

y≈22381

Answer:

125 students

Step-by-step explanation:

according to this survey, she surveyed 80 people, and of the 80 people she surveyed, 25 of them said they like pop best

set up a proportion to find how many students will like pop if there are 400 students at her school:

25/80=x/400

80x=10000

x=125

125 students

the inequalities that represent the situation are,

Ox+y≤ 30

0y≤6

0 x ≥ 10

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

Here, given that,

A chef makes small and large snacks to sell at a local art show.

He cannot make more than 30

snacks before the show, with no more than 6 large snacks.

The chef must make at least 10 small snacks to earn a profit.

Let,

x represent the number of small snacks

and y represent the number of large snacks.

Given x ≥ 0 and y 20

So, we get,

the inequalities that represent the situation are,

Ox+y≤ 30

0y≤6

0 x ≥ 10

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Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.

Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every ahead and move form may indeed be resolved to a set of triangles. Amazingly intricate connections exist between geometry and other areas of mathematics, particularly arithmetic, real or abstract, infinite series, arithmetic, and infinite series.

Here,

Sin 30 = Opposing Side/High

1/2 = 5 / y

y = 5 / (1/2)

y = 10

Cos 30 = Adjustment Side/ Hyp

√3/2 = x/y

√3/2 = x/10

x = 10√3 / 2

x = 5√3

In light of this, the given fractional problem's answer is

x = 5√3 and y = 10.

Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.

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Answer:

Okay

Step-by-step explanation:

I will try to help you

Answer:

Ok I also have a code: F5LS4F

Step-by-step explanation:

I heard you can get tickets in their discord community or something like that.

Answer:

6x + 18

Step-by-step explanation:

2(3х + 9)

6x + 18

2 * 3x = 6x

2 * 9 = 18

Answer:

b

Step-by-step explanation:

Answer: 448

Step-by-step explanation: Parallelogram formula base times height

9514 1404 393

Answer:

  7/36

Step-by-step explanation:

It can be helpful to make a chart similar to the attached that lists all 36 possible outcomes from the roll of two dice.

You can see there are 4 ways to roll a sum of 5. There are 2 ways to roll a sum of 11, and 1 way to roll a sum of 12.

Getting a sum of 5, 11, or 12 on a roll of 2 dice can be achieved 4+2+1=7 of the 36 ways the dice can fall.

  P(5, 11, or 12) = 7/36

The given quadratic equation has two possible roots as -

{x} = -1/2 and {x} = 1.667.

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is the statement as -

"12 x squared minus 14 x equals 10"

The given function can be written as -

f(x) = 12x² - 14x - 10

Refer to the graph attached. The x - intercepts show the solution of the given quadratic equation. So, we can write -

(x + 1/2)(x - 1.667) = 0

(x + 1/2) = 0     and     (x - 1.667) = 0

x = -1/2     and      x = 1.667

Therefore, the given quadratic equation has two possible roots as -

{x} = -1/2 and {x} = 1.667.

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Answer: 1/6

Step-by-step explanation: It was the first question on my quiz, hope it helped:)

The equivalent value of the expression [tex]36^{-(\frac{1}{2})[/tex] is, 1/6.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression [tex]36^{-(\frac{1}{2})[/tex].

We know, 6×6 = 36 = 6².

Therefore, [tex]36^{-(\frac{1}{2})} = (6^2)^{-(\frac{1}{2})[/tex].

[tex](6^2)^{-(\frac{1}{2})} = (6)^{2\times{-(\frac{1}{2})[/tex].

= 6⁻¹.

= 1/6.

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Answer:

The geometric mean is 9.798

Step-by-step explanation:

Answer:

13.416407864998738

Answer:

(a) They asked for one value of x

but I'll give you both

They're 2 and -2

(b)g(-1) = 4

Step-by-step explanation:

For (a) they're are looking for the value of x that is corresponding to 1 on the y axis

If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers

for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4