ANSWER THE FOLLOWING:​

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 5

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 35 by the x-value.

[tex]\sf y=\dfrac{35}{x}[/tex]

**I believe there is a typing error in the table and that the y-value of x = 3 should be 11.67**

Question 6

As the x-value increases, the y-value increases.  The y-value increases by a factor of 5 for each x-value increase of 1 unit.

Therefore, this is an exponential relationship.

[tex]\sf y=5^x[/tex]

The probability that the selected number is even, multiple of 4 and prime are 7/15, 1/5 and 2/5 respectively

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given the following set

S=​{1, ​2, 3,​ 4,..., 15}

n(S) = 15

If the selected number is even

E = {2, 4, 6, 8, 10, 12, 14}

n(E) = 7

Pr(selecting even number) = n(E)/n(S)

Pr(selecting even number) = 7/15

If the selected number is a multiple of 4

E = {4, 8, 12}

n(E) = 3

Pr(multiple of 4) = n(E)/n(S)

Pr(multiple of 4) = 3/15 = 1/5

If the selected number is a prime number

E = {2, 3, 5, 7, 11, 13}

n(E) = 6

Pr(prime number) = n(E)/n(S)

Pr(prime number) = 6/15 = 2/5

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Answer:Yes

Step-by-step explanation:His complaint is valid.

Step-by-step explanation:

Jacinta is completely right while Tess made a mistake on the 3rd step.

she mistakenly plugged in the y value as X, and plugged in the X value as y.

so Tess is incorrect

Answer:

[tex]\sf 9y^3(3-y)[/tex]

Step by step explanation:

[tex]\sf 27y^3-9y^4[/tex]

Factor out common term 9 :

[tex]\sf \implies 9(3y^3-y^4)[/tex]

Apply exponent rule [tex]\sf a^{bc}=a^{b+c}=a^ba^c[/tex] :

[tex]\sf \implies 9(3y^3-y^{1+3})[/tex]

[tex]\sf \implies 9(3y^3-y^1y^3)[/tex]

Factor out common term [tex]\sf y^3[/tex]:

[tex]\sf \implies 9y^3(3-y^1)[/tex]

Apply exponent rule [tex]\sf a^1=a[/tex] :

[tex]\sf \implies 9y^3(3-y)[/tex]

Answer:

n+6=x

Step-by-step explanation:

Each number is six more than the previous number.  Adding six to the previous number, n, gets us the next term in the sequence, x.

Answer:

Cost Price = Marked Price -Discount - Profit

CP = 4000-400-400

Cost price = 3200

Rs. 3200

The answer iis in the above picture hope you like it. Pls mark brainliest

Step-by-step explanation:

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Step-by-step explanation:

let b represent the number of books

b×b×b

b3

Answer:

angle S = 61

Step-by-step explanation:

triangles angles should all add up to 180.

so, if you do 68+51 it should equal 119

then you will do 180-119 which gives you 61.

Answer:

i believe the answer is 61

Step-by-step explanation:

I added the current angles together to get 119 and then subtracted 180 from it and got 61.

Answer:

795.6?

Step-by-step explanation:

The Area of Bathroom is 391.714 square feet.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

Area of Gym = 2387 square feet.

Area of Bathroom is 7 times less than the area of the gym.

So, Area of Bathroom

7x = 2387 + 341

7x = 2728

x= 391.714

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Step 1: Figure out how many years 2020 is after 1998

2020 is 22 years after 1998, therefore we should plug in 22 for x.

Step 2: Plug in known values

The only unknown variables in this equation are S and x. We just found out what x is, which leaves S for us to figure out by solving.

S - 1.5(22) = 5.1

Step 3: Solve

Now, all that's left to do is solve for S.

S - 1.5(22) = 5.1

S - 33 = 5.1

S = 38.1

Answer: 38.1 billion dollars

Hope this helps!

[tex]\dfrac{d}{dx} \csc(5x)\\\\=-\csc(5x) \cdot \cot (5x) \cdot \dfrac{d}{dx} (5x)\\\\=-5\csc(5x) \cdot \cot(5x)[/tex]

if its diameter is 14, then its radius is half that or 7.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}[/tex]

Answer:

[tex]1436.76... units^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a sphere.

[tex]V = \frac{4}{3} \pi r^3[/tex]

The question gives you diameter. As you know, diameter is twice the radius. Therefore, to convert diameter into radius, you divide the diameter by 2.

[tex]r = 14/2[/tex] [tex]= 7[/tex]

Now that you have the radius, all you need to do is plug it into the volume formula.

[tex]V = \frac{4}{3}\pi 7^3[/tex] = [tex]1436.76... units^3[/tex]

Answer:

1N

Step-by-step explanation:

Assuming acceleration of gravity=10m/s²

Force=100/1000kg×10m/s²=1N

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=10297\\ h=21 \end{cases}\implies 10297=\pi r^2(21)\implies \cfrac{10297}{21\pi }=r^2 \\\\\\ \cfrac{1471}{3\pi }=r^2\implies \sqrt{\cfrac{1471}{3\pi }}=r\implies 12\approx r[/tex]

Answer:

Step-by-step explanation:

If the function f(x) is change to g(x) what transformation has occurred?

(5 Points)

f (x) = 3x - 7 and g (x) = 3x + 3

The graph of g is a vertical strecth.

The graph of g is 3 units above f

• The graph of g is 10 units above f

Answer:

it will take approximately 6.67 annum(years) to double the price of an item that is inflated by 15% each annum(year)

Answer,:

Answer and Explanation: 1

1.

Calculation for operating loss is shown below:

Break-even point in dollars = Cost + Operating expenses

Break-even point in dollars = $208.40 + (36% * $208.40)

Break-even point in dollars = $208.40 + $ 75.024

Break-even point in dollars = $283.424

Reduced price = Original price - (Original price * Mark down)

Reduced price = $292.60 - ($292.60 * 40%)

Reduced price = $292.60 - $117.04

Reduced price = $175.56

Operating loss = Break-even point in dollars - Reduced price

Operating loss = $283.424 - $175.56

Operating loss = $107.864

2.

Calculation of absolute loss is shown below:

Absolute loss = Cost - Reduced price

Absolute loss = $208.40 - $175.56

Absolute loss = $32.84

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THIS ANSWER IS CORRECT

The ladder and the outside wall form a right triangle

The distance from the base of the ladder is 7.89 feet

The given parameters are:

Length (L) = 18 feet

Angle of elevation (θ) = 64 degrees

The distance (D) from the base of the ladder is calculated using the following cosine ratio

cos(θ) = D/L

So, we have:

cos(64) = D/18

Make L the subject

D = 18 * cos(64)

Evaluate the product

D = 7.89

Hence, the distance from the base of the ladder is 7.89 feet

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Answer:

x = 1 ± [tex]\sqrt2[/tex]

Step-by-step explanation:

Hope this helped! Have a nice day!
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Answer:

Step-by-step explanation:

a.16×25×10×4

= 100 * 160

= 16,000

b,49×99​

= 49 * 100 - 49

= 4900 - 49

= 4,851.

Answer:

x = 4; y = 3; z = 2

Step-by-step explanation:

3x + 2y + z = 20

x - 4y - z = -10

2x + y + 2z = 15

6x + 4y + 2z = 40

 x  - 4y  - z   = -10

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

7x            + z = 30

 x  - 4y  -    z = -10

8x + 4y  + 8z = 60

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

9x            + 7z = 50

z = 30 - 7x

9x + 7(30 - 7x) = 50

9x + 210 - 49x = 50

-40x = -160

x = 4

z = 30 - 7(4)

z = 2

2x + y + 2z = 15

2(4) + y + 2(2) = 15

y = 3

x = 4; y = 3; z = 2

Answer:

Answer

i dont know i jus want the points

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 6½

There 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats.

We have to determine the number of grams of carbohydrates available in 2 1/4 cups of dry oats.

Let x grams of carbohydrates be available in 2 1/4 cups of dry oats.

As per the given information, we can write the ratio would be as:

27 grams of carbohydrates : 1/2 cup of dry oats = x grams of carbohydrates : 2 1/4  cup of dry oats

⇒ 27/ (1/2) = x/(2 1/4)

⇒ 27/ (1/2) = x/(9/4)

Reciprocal the term in the numerator,

⇒ 27 × 2 = x × 4/9

Apply the cross-multiplication operation,

⇒ x = 54 × 9/4

⇒ x = 121.50

Thus, there are 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.

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An exponential function that has the x-axis as an asymptote, and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=ab^x[/tex]

Here, x is the variable in the power of a number.

State the equation of the exponential function that has the following features.

[tex]-1=ab^{(0)}\\-1=a\times1\\a=-1[/tex]

For the point (-1,-3)

[tex]-3=ab^{(-1)}\\-3=\dfrac{a}{b}\\[/tex]

Put, the value of -1 in the above equation,

[tex]-3=\dfrac{-1}{b}\\b=\dfrac{1}{3}[/tex]

Thus, the exponential function,

[tex]y=-1(\dfrac{1}{3})^x\\y=-\left (\dfrac{1}{3}\right)^x[/tex]

Hence, an exponential function that has the x-axis as an asymptote and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.

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