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inn [45]
2 years ago
7

What+js+the+sum+of+3(4v-1)+and+6(10+3v) when v = 8

Mathematics
1 answer:
kondor19780726 [428]2 years ago
7 0

Answer:

297

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

3(4v - 1) + 6(10 + 3v)

<em>v</em> = 8

<u>Step 2: Evaluate</u>

  1. Substitute in <em>v</em>:                                                                                                  3(4(8) - 1) + 6(10 + 3(8))
  2. (Parenthesis) Multiply:                                                                                      3(32 - 1) + 6(10 + 24)
  3. (Parenthesis) Subtract:                                                                                     3(31) + 6(10 + 24)
  4. (Parenthesis) Add:                                                                                            3(31) + 6(34)
  5. Multiply:                                                                                                             93 + 204
  6. Add:                                                                                                                   297
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37

Step-by-step explanation:

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3 years ago
You invest $40,000 in two funds paying 4% and 52% simple interest. The total annual interest is $2080. How much do you invest in
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9514 1404 393

Answer:

  • 4% fund: $39,000
  • 52% fund: $1000

Step-by-step explanation:

Let x represent the amount invested at 52%. Then (40000-x) is the amount invested at 4%. The total annual interest is ...

  0.52x +0.04(40000-x) = 2080

  0.48x = 480 . . . . . . . . . subtract 1600, simplify

  x = 1000 . . . . . . . . . divide by 0.48

Then the amounts invested in each fund are ...

  4% fund: $39,000

  52% fund: $1000

6 0
2 years ago
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​
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Answer:  \bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}

<u>Step-by-step explanation:</u>

Pythagorean Theorem is: a² + b² = c²   , <em>where "c" is the hypotenuse</em>

<em />

9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}

Note: 12² + opposite² = 20²   →   opposite = 16

11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}

Note: adjacent² + 5² = 6²   →   adjacent = √11

12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

5 0
3 years ago
Recall the following study: Over a 17-year period researchers studied a sample of 707 individuals from a single community. They
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Answer:

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Step-by-step explanation:

From the research, it is well known that both the dependent variable and independent variable will be taken into consideration before arriving at a conclusion.

A dependent variable is the variable that is been studied or measured i.e the results of a scientific research.

An independent variable is a variable that is been altered or controlled for and whose effects are compared to the results of the dependent variable, as such the results of  a dependent variable is dependent on the alteration of the parameters of an independent variable.

From the question ; the dependent variable is sample of 707 individuals from a single community while the independent variable ; the number of hours each individual spent watching television during adolescence and early adulthood.

The word confound in statistics implies a variable which has a greater effects on both the dependent and the independent variable.

Hence the answer is option c ; poverty and neighborhood conditions

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3 years ago
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earnstyle [38]

Answer:

y-2 = -(x-2)

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)  where (x1,y1) and (x2,y2) are two points on the line

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y-3 = -1(x-2)

y-2 = -(x-2)

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3 years ago
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