TIME REMAINING
57:11
Solve the equation for a.

K = 4a + 9ab

a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.

Answer:

$989

Step-by-step explanation:

860*0.15 is = 129

129 + 860 is 989

Answer:

The independent variable (x) is the amount of time John fixes a computer. The dependent variable (y) is the amount, in dollars, John earns for a computer.

y-intercept: (0,50)

Slope: 45

[tex]t = p*k[/tex]  is the formula that will help eric determine how much the potatoes he buys will cost in bulk.

An equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.

According to the question,

In order to calculate the price of the fruit we need to multiply the amount of food in kilograms by the price per kilogram of that specific food.

Since we are given specific variables for each piece of information needed for the variable.

All we need to do now is to create the formula to calculate the total price of the potatoes that Eric needs to buy.

[tex]t = p*k[/tex]

By using this formula lets Eric calculate the total price of an order of fruit or vegetables.

Therefore,

A formula that will help eric determine how much the potatoes he buys will cost in bulk is  [tex]t = p*k[/tex]

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Answer: C

Step-by-step explanation:

[tex]\sqrt{48x^{5}}=\sqrt{16x^{4}}\sqrt{3x}=\boxed{4x^{2}\sqrt{3x}}[/tex]

Answer:

4x+5 ≤29. Answer = $6 or less

Step-by-step explanation:

1. x= the price of the rice bowl

2. 4x= price of 4 rice bowls

3. So we get 4x+5(The total amount of their purchase)

4. Kara has only $29 so she can spend that much

5. The inequality 4x+5≤29 represents how much can she spend on each rice bowl.

6. The answers include $6,$5,$4,$3,$2, and $1 or less.

Answer:

29/10

Step-by-step explanation:

7/2+(-3/5)

7/2-3/5

35/10-6/10

29/10

The value of y will be -4 when the value of x is 4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The equation of the given condition will be given as:-

y = [tex]\dfrac{k }{x}[/tex]

At y = 8 when x = -2 so

8 = [tex]\dfrac{k}{-2}[/tex]

k = -16

The value of y at x = 4 will be calculated as:-

y = [tex]\dfrac{-16}{4}=-4[/tex]

Therefore the value of y will be -4 when the value of x is 4.

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Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

[tex]A=\frac{bh_b}{2}[/tex]

[tex]h_b=\sqrt{a^2-\frac{b^2}{4} }[/tex]

There are 2 solutions for [tex]b[/tex]

[tex]b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } }[/tex] ≈ [tex]10cm[/tex][tex]b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm[/tex]

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

Answer:

A: Table W.

Step-by-step explanation:

A function for tables are where the X-input NEVER repeat.

Graph W. Doesn't have any repeating inputs on the x side

Y can repeat as much as the problem make wants but the x CAN NOT.

The equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex]  + 6y²Sin[tex]\theta[/tex].

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The value of the expression will be given as:-

r³ = r(x² + y²)

( 6Sin[tex]\theta[/tex])³ = 6Sin[tex]\theta[/tex] (x² + y²)

216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex]

Therefore the equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex]  + 6y²Sin[tex]\theta[/tex].

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Answer: No answer

Step-by-step explanation:

You can calculate for x, because the equation isn't equal to anything.

Answer:

V ≈ 500 cm³

Step-by-step explanation:

Volume of a sphere: ⁴⁄₃πr³ (where r is the radius)

Substitute the given values into the formula:

⇒ V = ⁴⁄₃πr³

⇒ V ≈ (⁴⁄₃)(3)(5)³

⇒ V ≈ (⁴⁄₃)(3)(125)

⇒ V ≈ (⁴⁄₃)(375)

⇒ V ≈ 500 cm³

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Given: [tex]\textsf{Diameter = 10 cm, Volume = 4/3} * \pi*r^3[/tex]

Find:  [tex]\textsf{Determine the volume}[/tex]

Solution: First we need to determine the radius by dividing the diameter by 2 and after that we can plug in the information into the equation and simplify it until we get the volume.

Determine the radius

Plug in the values

Simplify the expression

After completing the steps we were able to determine that volume of the sphere that was provided is 500 cubed centimeters.

Answer:

2,4,8,16

Step-by-step explanation:

2,4,8,16

difference is multiplied by 2

Answer:

Its 250 the answer which i got.

Answer:

After investing for 5 years at 5% interest, your $1,000 investment will have grown to $1,276

Step-by-step explanation:

Answer:

y= 1/4 x-62+1

Step-by-step explanation:

The area of the triangle is given as: ≈ 70.50cm²

Area of shaded region = Area of the sector less Area of the Triangle.

This is represented as:

π r² (∅/360) - 1/2 x b x h

= π x 14² x (46/360) - (1/2) x 14 x 10.0708

= 78.6794 - 70.4956

= 8.1838 cm²

Hence, the area of the triangle is (1/2) x 14 x 10.0708

= 70.4956 cm²

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In quadrilateral PQRS, ∠P and ∠S are opposite angles.

Answer:

C. 4 radians

Step-by-step explanation:

[tex]20=\frac{\pi (Ctrl.Angle)(5)}{180}[/tex]

Ctrl Angle = ∅

∅ = [tex]\frac{(20)(180)}{5\pi } =\frac{3600}{5\pi } =\frac{720}{\pi }[/tex]

in radians:

∅ = [tex]\frac{720}{180} =4[/tex]

Hope this helps

Answer: 8

Step-by-step explanation:

We know that:

[tex]\frac{10^{12}}{10^{4}}=10^{12-4}=10^{\boxed{8}}[/tex]

Answer:

(x - 8x)²

(x - 8x) (x - 8x).

using the identity

( a - b) ² = a² + b² - 2ab

a = x

b = 8x

x² + 64x - 16x²

Answer:

$14.18

Step-by-step explanation:

just multiply 12 with 100 for percentage and divide it by 85 because there was 15 percent off and you'll get the answer

Answer:

2 goals

Step-by-step explanation:

After 5 games the team scored 1.8*5=91.8∗5=9 goals.

After 6 games the team scored 9+3=129+3=12 goals.

The mean after 6 games is \frac{12}{6}=2

6

12

​

=2 goals.

Answer:

-14/15

Step-by-step explanation:

"of" means multiply, thus:

-8/15 * 21/12

-8 * 21 / 15 * 12

-2 * 7 / 15

-14/15

Answer:

-14/15

Step-by-step explanation:

So first you need to get rid of the negative sign. Don't worry you will add it back later!

So, you will do

-8/15×21/12

Once you cross cancel, you will have

-2/5x7/3

That would be equivalent to

-14/15

That's your answer!

Hope this helped :)

Answer:

4 hours

Step-by-step explanation:

First we need to subtract the one pay fee (the helmet rental fee, $15)

So 51 - 15 = 36

Then we need to divide 36 by the amount of money it costs for each hours to find how many hours he rented the bike

So 39/9 = 4

Answer:

well not sure but I think it is 8° or 17.8°

The name of an item that a person can only buy once in one's lifetime are:

These are known to be a product that one can buy and a person can use for a lifetime until they grow tired of using it.

Note that not all product can or need to last forever but there are a lot of products that can actually do. some of which are:

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Using sampling concepts, it is found that the 33,043 infants represent the sample.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, all infants represent the population, while 33,043 infants represent the sample.

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The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.

It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.

As we know the sin function is represented by:

y = Asin(Bx) + C

Here,

A = The amplitude  =  3

C = The vertical shift  = 1

B - The period in terms of π

B = 2π/amplitude

B = 2π/4

B = π/2

The becomes:  

[tex]\rm y = 3sin(\dfrac{\pi }{2}x)+1[/tex]

Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.

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The function that describes the car's distance from little rocks would be option A; y = 45x + 280

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Point 1:

(x, y) = (0, 280)

Since we are told the car's initial position is 280 miles in the time 0 h

Point 2:

(x, y) = (4, 100)

Since we are told the car's final position is 100 miles after 4h.

Let's find the Slope :

m = 45

Now, the equation of the line is:

y = mx + b

y = 45x + 280

Then, The function that describes the car's distance from little rocks would be option A; y = 45x + 280

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