A math teacher claims that the students' test scores are directly proportional to the amount of time spent studying. Amy studies 17 hours for a test and gets a score of 68. At this rate, how many hours would she have to study to get a score of 97?

The answer is

i) - c

ii) - b

iii) - b

iv) - a

v) -  d

Answer:

See below.

Step-by-step explanation:

17.)

[tex]x+100+120+100=360\\x+320=360\\x=40[/tex]

18.)

[tex]x+150+77+48=360\\x+275=360\\x=85[/tex]

19.)

[tex]x+122+92+76=360\\x+290=360\\x=70[/tex]

20.)

[tex]x+115+85+60=360\\x+260=360\\x=100[/tex]

Using Pythagorean triplet

[tex]\\ \sf\longmapsto AB^2=AC^2-BC^2[/tex]

[tex]\\ \sf\longmapsto AB^2=4^2-3^2[/tex]

[tex]\\ \sf\longmapsto AB^2=16-9[/tex]

[tex]\\ \sf\longmapsto AB^2=7[/tex]

[tex]\\ \sf\longmapsto AB=\sqrt{7}[/tex]

[tex]\\ \sf\longmapsto Velocity=\dfrac{Displacement}{Time}[/tex]

[tex]\\ \sf\longmapsto Velocity=\dfrac{\sqrt{7}}{35}[/tex]

[tex]\\ \sf\longmapsto Velocity=\dfrac{2.6}{35}[/tex]

[tex]\\ \sf\longmapsto Velocity=0.07m/s[/tex]

Answer:

A

Step-by-step explanation:

f(x) = x+4 when x is equal to or less than - 2. f(-4)=0

Answer:

4 to 3

Step-by-step explanation:

The ratio of salt to pepper is

2/3 to 1/2

Multiply both fractions by 6

6 * 2/3 to 6 * 1/2

4 to 3

Answer:

59 cm ³

Does the answer help you?

Answer:

A function is a set of ordered pairs where there is exactly one y value for each x value.

This is the case with this graph, so this graph IS a function.

Let me know if this helps!

Answer:

Sin( 30 ) is 1/2 .

A is the best / correct answer .

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{12}[/tex] ← divide numerator and denominator by 3

= [tex]\frac{1}{4}[/tex]

Answer:

The answer is 235

Step-by-step explanation:

it's just basic long divistion.

Answer: 53 and 54

Explanation

Let the consecutive numbers be x and x + 1

ATQ

x + x + 1 = 107

2x = 107 - 1

x = 106/2

x = 53

Therefore the numbers are 53 and 54

Must click thanks and mark brainliest

Answer:

x = 53, x + 1 = 54

Step-by-step explanation:

Consecutive integers are two numbers that are after each other. (This is confusing wording, but hopefully this example helps):

Regular consecutive numbers: 1, 2, 3

Even consecutive numbers: 2, 4, 6

Since in this problem the numbers are not given you will use variables.

x + x + 1 = 107

Solve:

x + x + 1 = 107

2x + 1 = 107

      -1      -1

----------------

2x = 106

---    -----

2      2

  x = 53

x + 1

53 + 1 = 54

Hope this helped.

Answer:

It's C, 164

Step-by-step explanation:

Answer:

MAD - mean absolute deviation is indication of the distance of data points from the mean.

Data set B shows the greater variability since has greater MAD.

It means the B data set is more spread compared to A data set.

Hi there!

[tex]\large\boxed{x = -3}[/tex]

Begin by distributing the 5:

5(2x) + 5(-12) = -90

Simplify:

10x - 60 = -90

Add 60 to both sides:

10x = -90 + 60

10x = -30

Divide both sides by 10:

x = -3

Answer:

x = -3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, divide 5 from both sides of the equation:

5(2x - 12) = -90

(5(2x - 12))/5 = (-90)/5

2x - 12 = -90/5

2x - 12 = -18

Next, add 12 to both sides of the equation:

2x - 12 (+12) = -18 (+12)

2x = -18 + 12

2x = -6

Finally, divide 2 from both sides of the equation:

(2x)/2 - (-6)/2

x = -6/2

x = -3

-3 is your answer for x.

~

Answer:

because of its bark

Step-by-step explanation:

the answers have corresponding letters so answer the questions and put the letter next to the question above the answer

some of the answers are repeated

Answer:

[tex]\frac{dy}{dx} = \frac{13}{8} [/tex]

Step-by-step explanation:

[tex] y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } } [/tex]

When x = 4,

[tex]\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8} [/tex]

Answer:

Hello,

Answer 13/8

Step-by-step explanation:

[tex]y=2x+\dfrac{3}{\sqrt{x} } \\\\y'=2+6*\dfrac{-1}{2} x^{\frac{-3}{2} }\\\\y'=3-\frac{3}{\sqrt{x^3}} \\\\\\For x=4, \\\\y'(4)=2-\dfrac{3}{8} =\dfrac{13}{8}[/tex]

0Answer:

A

Step-by-step explanation:

Find the zeros by letting y = 0 , that is

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Since the coefficient of the x² term (a) > 0

Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals

(-∞, - 2) and (3, ∞ ) → option A

Answer:

50

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 degrees

since one of the angle is given as 80 the remaining is 100

The given is an isosceles triangle which means two of its side length and so its angles are equal in measure so 100/2 = 50

Answer:

4/5 t

Step-by-step explanation:

why?

80%xt by definition of p%=p/100

80/100t

80/100t reduce the fraction with 20

so the answer is;

4/5 t

Hope it helps

Answer:

-1

Step-by-step explanation:

I know that i^4 = 1

i^10 = i^4 * i^4 * i^2

     = 1 * 1 * i^2

We know that i^2 = -1

    =1 *1 *-1

    = -1

Answer:

B) f(x) = 1/x-1

Step-by-step explanation:

You can type it into desmos graphing calculator- hope this helps

Option (B) is correct.

"Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation"

For the given graph,

The functions are

(A) [tex]f(x)=\frac{1}{x}[/tex]

(B) [tex]f(x)=\frac{1}{x-1}[/tex]

(C) [tex]f(x)=\frac{1}{x+1}[/tex]

Plot all these functions in the graph. We can obtain the graph as shown for option (B).

Hence we can conclude that option (B) is correct.

Learn more about graphing functions here

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Answer:

x = 61

Step-by-step explanation:

Supplementary angles add up to 180 degrees. We can create an equation and solve for x.

(2x + 6) + (x - 9)= 180

~Combine like terms

3x - 3 = 180

~Add 3 to both sides

3x = 183

~Divide 3 to both sides

x = 61

Best of Luck!

Answer:  Choice A)  3x3

The 3x3 refers to the number of rows and the number of columns in that order.

As another example, this matrix

[tex]\begin{bmatrix}1 & 7 & 9\\13 & 41 & 2\\5 & 8 & 7\\92 & 3 & 5\end{bmatrix}[/tex]

is a 4x3 matrix because it has 4 rows and 3 columns.

Answer:

OK, so I thought I could solve this but now I'm not so sure. I got [tex]\sqrt{x^{2}+4}[/tex] = [tex]\sqrt{x^{2}+4}[/tex] but this whole thing is such a huge mess I have no idea if it's right or wrong. I tried my best to get it right and I hope this helps.

Step-by-step explanation:

First, let's simplify the left side:

let's make (x + 3) = a and (x + 2) = b

so a · b or ab =

Now let's solve for a:

ab = [tex]\sqrt{x^{2}+4}[/tex]

ab/b = ([tex]\sqrt{x^{2}+4}[/tex]) / b

a = ([tex]\sqrt{x^{2}+4}[/tex]) / b

Now we can substitute a:

[([tex]\sqrt{x^{2}+4}[/tex]) / b] · b = [tex]\sqrt{x^{2}+4}[/tex]

{[([tex]\sqrt{x^{2}+4}[/tex]) / b] · b} / [([tex]\sqrt{x^{2}+4}[/tex]) / b] = ([tex]\sqrt{x^{2}+4}[/tex]) / [([tex]\sqrt{x^{2}+4}[/tex]) / b}

b =  ([tex]\sqrt{x^{2}+4}[/tex]) / [([tex]\sqrt{x^{2}+4}[/tex]) / b]

Now we can substitute a and b:

[([tex]\sqrt{x^{2}+4}[/tex]) / b] · ([tex]\sqrt{x^{2}+4}[/tex]) / [([tex]\sqrt{x^{2}+4}[/tex]) / b] = [tex]\sqrt{x^{2}+4}[/tex]

[tex]\sqrt{x^{2}+4}[/tex] = [tex]\sqrt{x^{2}+4}[/tex]

Let h be height of building

then In ΔABC

AB/BC =tan60degree

h/100 = root 3

h= 100 root 3

PLEASE MARK BRAINLIST!!

​

The required angle of elevation of the building is 16.7°.

Given that,
what is the angle of elevation to a building 1000 m away that is 300 m high is to be determined.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

Here,
The angle of the elevation is given as,
TanФ = 300/1000
Ф = tan⁻¹(3/10)
Ф = 16.7°

Thus, the required angle of elevation of the building is 16.7°.

Learn more about trigonometry equations here:

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Answer:

90

Step-by-step explanation:

36/x * 40/100 = 3600/40x

and you get x = 90

Answer:

It is given that

4x/3−7x/3=1

Step-by-step explanation:

By further calculation

−3x/3=1

So we get

−x=1

x=−1.

Answer:

The vertical line test is basically a way to determine whether or not a graph is a function.  All three of the options are accurate, so I would select all three.

Let me know if you have any other questions!