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3 years ago

For the date on a table does Y very directly with X if it does why in equation for the right variation

Mathematics

1 answer:

Masja [62]3 years ago

8 0

Y is often the variable used to represent the dependent variable in an equation.

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Here is a right angled triangle work out the value of x using trigonometry

Zolol [24]

$~~~~~\sin 30^{\circ} = \dfrac{\text{Perpendicular}}{\text{Hypotenuse} }\\\\\\\implies \dfrac 12 = \dfrac{8}x\\\\\\\implies x = 8\cdot2\\\\\\\implies x = 16 ~ \text{cm.}$

8 0

1 year ago

Need help on 15 and 16 PLEASEE!!!

melisa1 [442]

Answer:

Part 15) The next three terms are 5/8,3/4 and 7/8

Part 16) The 37th term is -35.5

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and this constant is called the common difference (d)

Part 15) Find the next three terms of the arithmetic sequence

$\frac{1}{8},\frac{1}{4},\frac{3}{8},\frac{1}{2},...$

$a1=1/8\\ a2=1/4\\ a3=3/8\\ a4=1/2\\ a2-a1=1/4-1/8=1/8\\ a3-a2=3/8-1/4=1/8\\ a4=a3=1/2-3/8=1/8$

The common difference is equal to

d=1/8

Find the next three terms of the arithmetic sequence

Find a5

$a5=a4+d$ -----> $a5=1/2+1/8=5/8$

Find a6

$a6=a5+d$ -----> $a6=5/8+1/8=3/4$

Find a7

$a7=a6+d$ -----> $a7=3/4+1/8=7/8$

therefore

The next three terms are

5/8,3/4 and 7/8

Part 16) what is the 37th term of the arithmetic sequence

$4.1,3,1.9,0.8,...?$

$a1=4.1\\ a2=3\\ a3=1.9\\ a4=0.8$

$a2-a1=3-4.1=-1.1\\ a3-a2=1.9-3=-1.1\\ a4=a3=0.8-1.9=-1.1$

The common difference is equal to

d=-1.1

We can write an Arithmetic Sequence as a rule

$an=a1+d(n-1)$

substitute the values

$an=4.1-1.1(n-1)$

For n=37

substitute

$a37=4.1-1.1(37-1)$

$a37=4.1-1.1(36)$

$a37=-35.5$

4 0

2 years ago

1.) (-18, -20) (18, 16)

aleksandrvk [35]

1.) (-18, -20) (18, 16)

m= 1

2.) (-7, 14) (-11, 4)

m= 5/2

3.) (-5, -4) (3, 9)

m= 13/8

4.) (13, -8) (-9, -1)

m= -7/22

3 0

3 years ago

This table shows the daily high temperature, in Fahrenheit, for two cities for ten days. City A 90 85 84 85 80 82 83 85 89 82 Ci

Anni [7]

Since the person didn't write the answer choices they were:

A. On average, city A was warmer than city B.

B. The median and mode are different for city B.

C. The temperature range between the maximum and minimum values for city A is greater than the temperature range between the maximum and minimum values for city B.

D. The median is less for city A than for city B.

I believe it is A personally cause i took the test and got it right

7 0

3 years ago

Read 2 more answers

Which represents a quadratic function ?

mars1129 [50]

Answer:

$\boxed{\boxed{B.\ f(x)=\dfrac{3}{4}x^2+2x-5}}$

Step-by-step explanation:

Quadratic function-

It is a function that can be represented by an equation of the form $f = ax^2 + bx + c$ , where $a\neq 0$

In a quadratic function, the greatest power of the variable is 2.

As in the first option the highest power is 3, so it is not a quadratic function.

Even though the power of x is 2 in the third option, but as it is in the denominator, so the overall power of x becomes -2. Hence it is not a quadratic function.

As the coefficient of $x^2$ is 0 in case of fourth option, so it is not a quadratic function.

Equation in option 2 satisfies all the conditions of quadratic function, hence it is the quadratic function.

8 0

3 years ago

Read 2 more answers