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avanturin [10]
3 years ago
15

C=-4 D=5 P=2 Q=-1 4cd×10×2p÷50d+20q=??

Mathematics
1 answer:
nata0808 [166]3 years ago
7 0
This is very simple; don't you worry.
     Let's start by breaking down the problem so that it's not overwhelming.
For now, we're only going to focus on the very beginning of the problem -- 4c.
     When a number is next to a letter with no signs in between (in terms of this kind of math), the number is called a coefficient and the letter is called a variable. When you see this in math, it means that the coefficient is being multiplied by the variable. But how do you know what the variable is?
     In other examples of math, you'd have to solve for the variable, but in this case, they already give it to you! Look back at the top... what does C equal? It equals 4! This means that 4c is actually 4x4, or 4(4)!
     What we just did there, changing 4c to 4 multiplied by 4, is called substitution. You just substituted the c with 4. Now you know that to solve this, you need to use the method of substitution. What do you get if you substitute all of the variables with the numbers they equal (as shown above)...?

((4*-4)*5)((10(2*2))/(50(5)))+20(-1). You didn't use parentheses to separate the term /50d + 20q, so I'm assuming that the first part of the problem is only divided by just 50d, and not 50d+20q. In the future, be sure to clarify with parentheses. Anyway...
     ((4*-4)*5)((10(2*2))/(50(5)))+20(-1).<span> Do NOT let this scare you. All the parentheses do is help you see what is being multiplied. All that's left is simple order of operations! You should get -<em>340 </em>as your answer.</span>
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3 years ago
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What is the range of the data in this stem-and-leaf plot? 2 14 19 32.5 Stem and leaf plot. Vertical line separates each stem fro
inysia [295]

Answer:

19

Step-by-step explanation:

Given :

Stem   Leaves

2    |      6, 7, 7

3    |      0, 2, 3, 3, 4.

4    |      0, 5

To Find: What is the range of the data in this stem-and-leaf plot?

Solution :

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So, in the given stem leaf plot the number are :

26,27,27,30,32,33,33,34,40,45

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Range = 19

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4 0
4 years ago
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Factorise 10x²+19x+6<br><br> Show working out please.
stepladder [879]

Answer:

(2x+3)(5x+2)

Step-by-step explanation:

10x²+19x+6

multiply to get 60

add to get 19

10x²+19x+6

(10x²+15x)(+4x+6)

factorise:

10x²+15x

5x(2x+3)

4x+6

2(2x+3)

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8 0
3 years ago
The expression 21 - (2x + 3)2 + 4 (1 - 1) + z3 can be simplified into the form
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Answer:

A=z

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Step-by-step explanation:

First lets simply the equation

21 - (2x +3)2 + 4(1-1) + z^3

21 - (2x^2 + 9) + 4(0) + z ^3

21 - 2x^2 + 9 + z^3

- 2x^2 + z ^3 + 30

This means that:

A=z

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3 years ago
Which statements are true about the trigonometric ratios of this triangle​
rosijanka [135]

Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

By applying the sine and cosine rules in the given triangle,

sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(30°) = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

sin(30°) = \frac{BC}{AB}

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             = \frac{1}{2}

cos(60°) = \frac{BC}{AB}

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              = \frac{1}{2}

sin(60°) = = \frac{AC}{AB}

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              = \frac{\sqrt{3}}{2}

Options (1), (2), (3) and (4) are the correct options.

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