Find the value of x.

Answer:

x=0

Step-by-step explanation:

use a website called 'tiger-algebra.com'

i hope this helped!

Answer:

221 cubic metre.

Step-by-step explanation:

Volume of water in tank (v) = π × {3}^{2} × 6

= 54π cubic metre

Volume of tank (v') = π × {5}^{2} × 11

= 275π cubic metre

More Water that can be fit in the tank = v' - v

=275π - 54π

= 221π cubic metre.

ANS.

Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer:

90 gallons premium gas

230 gallons regular gas

Step-by-step explanation:

We can use the given information to form a system of equations.

First, let's set the variables:

Regular gas: r

Premium gas: p

Throughout the entire day, they sold 320 gallons of r and p combined.

r+p=320

Now, regular gas sells for 2.30 per gallon, which can be written as 2.30r

premium can be shown similarly as 3.00p. After all the gallons they sold, they got 799 in total.

2.30r + 3.00p = 799

As a system of equations, it can be written like this...

r+p=320

2.30r + 3.00p = 799

Now solve. (I won't explain much of the steps here but I'll show it. Comment questions if you have any, and I'll try to answer them.)

r=320-p

2.30r + 3.00p = 799

2.30(320-p)+3.00p=799

736+0.7p=799

0.7p=63

p=90 gallons of premium gas

Now we can solve for regular by just plugging in 90 gallons premium into the top equation.

r+p=320

r+90=320

r=230 gallons of regular gas

check work.

230(2.30)+90.0(3.00)=799

529+270=799

799=799

Answer:

Slope = 6

Step-by-step explanation:

Use the slope formula:

\(m=\frac{y_1-y_2}{x_1-x_2}\\m=\frac{-4-8}{3-5}\\m=\frac{-12}{-2}\\m=6\)

Answer:

6

Step-by-step explanation:

(3,-4) and (5,8)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(8 - (-4)) / (5 - 3)

Simplify the parentheses.

= (8 + 4) / (5 - 3)

= (12) / (2)

Simplify the fraction.

12/2

= 6

This is your slope.

Hope this helps!

Step-by-step explanation:

Movement from one place to another

The standard form of the equation of the parabola with a focus of (4, -3), and a directrix of x = 0 is; (y + 3)² = 8·(x - 2)

The equation of a parabola with a focus (4, -3) and a directrix of x = 0, can be found using the definition of the curve of a parabola, which is a curve that describes the location of a point that is equidistant from the focus and the directrix.

Let (x, y) represent the coordinate of the point, therefore;

The distance of the point from the point to the focus is therefore;

Distance = √((x - 4)² + (y + 3)²)

The distance from between the point and the directrix = |x|

According to the definition of the locus of a parabola, therefore;

√((x - 4)² + (y + 3)²) = |x|

(x - 4)² + (y + 3)² = x²

x² + y² - 8·x + 6·y + 25 = x²

x² - x² + y² - 8·x + 6·y + 25 = 0

y² - 8·x + 6·y + 25 = 0

y² + 6·y + 25 = 8·x

However, we get; Directrix, x = h - p

focus = (h + p, k)

Therefore;

h + p = 4

k = -3

h - p = 0

2·h = 4 + 0 = 4

h = 4/2 = 2

h = 2

p = 4 - 2 = 2

p = 2

The equation of a parabola is; (y - k)² = 4·p·(x - h)

The equation of the parabola is; (y - (-3))² = 4 × 2 × (x - 2)

The standard form of the equation is therefore;

(y + 3)² = 8·(x - 2)

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Answer:

answer is 0

Step-by-step explanation:

Answer:

its zero

Step-by-step explanation:

28 divided by 4 is 7

7 to the power of 2 is 49

49 divided by 7 is 7

7-7 is 0

Given the equation:

the given equation is for logarithm function with a base of 4

The domain will be all real numbers of x

So,

We will find the value of f(2)

So, substitute with x = 2 and solve

so,

So, the answer will be:

Answer:

-2y + 10

Step-by-step explanation:

Substitution method:

On the second equation of the system, we have to find x as a function of y.

-x - 2y = -10

We have to find x as a function of y, so:

\(-x = -10 + 2y\)

Multiplying both sides of the equality by -1:

\(x = -2y + 10\)

So -2y + 10 is the answer to this question.

Answer:

(x-3) (x-4)/(x-4)

x(x-4)-3 (x-4)/(x-4)

this is the answer!

if you have any problem tell me I will help you

Answer:

the answer is on the picture

answer: I guess it is (-x,-y)

Answer:

See attached

Step-by-step explanation:

Refer to picture

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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The mean using sigma notation is $2.4

The list of costs per cup are given as:

$2.85, $2.15, $1.95, $3.00, $2.05 and $2.40

The mean using sigma notation is calculated as:

\(\bar x = \frac{\sum x}{n}\)

This gives

\(\bar x\) = ($2.85 + $2.15 + $1.95 + $3.00 + $2.05 + $2.40)/6

Evaluate the sum

\(\bar x\) = $14.4/6

Evaluate the quotient

\(\bar x\) = $2.4

Hence, the mean using sigma notation is $2.4

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Answer:

20.68976

Step-by-step explanation:

Convert the percentage into decimal :

58% = 0.58

0.58 × x = 12

Divide both sides by 0.58 :

x = 12÷0.58

x = 20.689655...

x = 20.68976

So the method to these types of question is to make the question into an equation by converting the percentage into a decimal, rearrange to make the unknown number the subject and solve .

Hope you understood and have a good day

Answer:

Step-by-step explanation:

The volume of the cylinder is the extension of the base area throughout its length thus the volume of the given cylinder will be 198.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

The volume of the cuboid = length × height × width.

As per the given cylinder,

The radius of the base of the cylinder = 3

Height = 7

Base area = π(radius)²

Base area = π(3)²

Base area = 9π

The volume of the cylinder = Base area × Height

Volume = 9π × 7 = 198.

Hence "The volume of the cylinder is the extension of the base area throughout its length thus the volume of the given cylinder will be 198".

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Answer:

5...?

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The answer is 7 because a 2 reversed looks like a 5 and 2+5=7

Answer: See bolded below

Step-by-step explanation:

With the given f(x) and g(x) given, we can directly plug them in to solve. The inverse is to replace the y with x and x with y, then solve for y.

A. f(g(-4))=143

g(-4)=3(-4)+1

g(-4)=-12+1

g(-4)=-11

With g(-4), we plug that into f(x) to find f(g(-4)).

f(-11)=(-11)²-2(-11)

f(-11)=121+22

f(-11)=143

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

B. 9x²-1

(3x+1)²-2(3x+1)

(9x²+6x+1)-6x-2

9x²-1

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

C. g⁻¹(x)=(x-1)/3

x=3y+1

x-1=3y

(x-1)/3=y

Answer:

0.0657534

Step-by-step explanation:

divide 2 by 30.417

\(3x^2-15x= 15\\\\x^2 -5x = 5\\\\x^2-5x-5=0\\\\\Delta = 25+20\\\\\Delta = 45\\\\\\x = \dfrac{5\pm \sqrt{\Delta}}{2}\\\\\\x = \dfrac{5\pm \sqrt{45}}{2}\\\\\\x = \dfrac{5\pm 3\sqrt{5}}{2}\\\\\\\)

Answer:

\((y-5)^2=12(x+2)\)

Step-by-step explanation:

Since the focus point is directly right of the vertex, the axis of symmetry will be horizontal, which means that we use the equation \((y-k)^2=4p(x-h)\) where \((h,k)\) is the vertex and \((h+p,k)\) is the focus point.

Since we know our vertex to be \((h,k)\rightarrow(-2,5)\) and our focus point to be \((h+p,k)\rightarrow(1,5)\), the distance from the vertex to the focus point is \(p=3\).

Hence, the equation is:

\((y-5)^2=4(3)(x-(-2))\\\\(y-5)^2=12(x+2)\)

Answer:

<A = 75degrees

Step-by-step explanation:

From the triangle given;

arcDA + arc AD  + arcBD = 360 degrees

131 + 79 + arcBD = 360

210 + arcBD = 360

arcBD = 360 -210

arcBD = 150 degrees

Since the angle at the vertex <A is half that at the arc BD, hence;

<A = 1/2 arcBD

<A = 1/2 * 150

<A = 75degrees

Hence the measure of angle A s 75degrees

Answer:

2. unlikely

Step-by-step explanation:

The probability of rolling a 2 is 1/6, 0r 0.1666...  .

Probabilities and their meanings:

0   -   impossible

between 0 and 0.5   -   from unlikely to almost as likely as not

0.5   -   as likely as not

between 0.5 and 1   -   from as likely as not to almost certain

1   -   certain

This probability is 0.1666... which is in the category from 0 to 0.5. It is closer to 0 than to 0.5, so although it is not impossible, it is unlikely.

Answer: 2. unlikely