Solve the equation V^3=36

Answer:

-1

Step-by-step explanation:

i just inserted it into an online graphing calculator called desmos.

The constant of proportionality for the paints portraits is estimated as 5.

For, the given question;

The relation between the portraits and the time for their drawing made by Drew is-

In 5 hours ----> 1 portrait

Thus, 5/1 = 5

In 10 hours ------> 2 portrait

Thus, 10/2 = 5

In 15 hours -----> 3 portrait

Thus, 15/3 = 5 .....and so on.

Therefore, the constant of proportionality is found as 5.

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Answer: 2/189

Step-by-step explanation:

The name of each midpoint and the segment it bisects include the following:

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

In this scenario, the name of each midpoint and the segment it bisects include the following:

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Complete Question:

Name each midpoint and the segment it bisects.

After solving the equation ln x = -2, x is the value of equal to  [tex]e^{-2}[/tex]

We have been asked to find x in ln x = -2

⇒ ln x = -2

⇒ x = [tex]e^{-2}[/tex]

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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The solution for y is given as :  y = (34+x)/36

According to the question we have been the linear equation in two variable as :

                       2y - x = 34 (-y + 1)

We need to solve the above equation for y. For that we will do step by step.

First we will open the brackets on the right hand side of the equation we get

                        2y - x = -34y + 34

then we will combine the terms on the left hand side of the equation.

                        2y + 34y = 34 + x

                          36y  = 34+x

dividing both the sides by 36 we get

                         36y/36 = (34+x)/36

                             y = (34+x)/36

Hence the solution for y is given as :  y = (34+x)/36

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Answer:

10 hours

$352

Step-by-step explanation:

Given costs:

Define the variables:

Create a system of equations using the given costs and defined variables:

[tex]\begin{cases}y=132+22x\\y=152+20x \end{cases}[/tex]

To find how many hours Ryan would need to rent the boat in order for the cost of both companies to be the same, substitute equation 1 into equation 2 and solve for x:

[tex]\begin{aligned}132+22x & = 152+20x\\132+22x-20x & = 152+20x-20x\\132+2x & = 152\\132+2x-132 & = 152-132\\2x & = 20\\\dfrac{2x}{2} & = \dfrac{20}{2}\\x & = 10\end{aligned}[/tex]

Therefore, the number of hours Ryan would need to rent the boat in order for the cost of both companies to be the same is 10 hours.

Substitute x = 10 into one of the equations to find the cost at both companies if Ryan rented a boat for this many hours:

[tex]\begin{aligned}x=10 \implies y & = 132+22(10)\\& = 132+220\\& = 352\end{aligned}[/tex]

Therefore, the cost at both companies if Ryan rented a boat for 10 hours would be $352.

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The numeric values of the expressions are given as follows:

3. 36.

5. 38.

7. 16/61.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

In item 3, we have that:

4|m - n|, m = -7, n = 2.

Hence the numeric value is:

4|-7 - 2| = 4|-9| = 4 x 9 = 36.

In item 5, we have that:

s²t - 10 with s = -8, t = 3/4.

Hence the numeric value is:

(-8)² x 3/4 - 10 = 48 - 10 = 38.

In item 7, we have that:

(a + b)^5/(a - 2b²), a = 6, b = -8.

Hence the numeric value is:

(-2)^5/(6 - 128)

-32/-122 (negative divided by negative is positive).

32/122 (simplify by 2).

16/61.

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Answer:

0.025

Step-by-step explanation:

Divide 4 by 139 and get the number as a decimal

The number that can be equal to 2x² -50 =  2(x + 5)(x - 5).

For the given equation;

= 2x² -50

Take 2 common;

= 2(x² - 25)

This could be written as;

= 2(x² - 5²)

Now use per the property of (a² - b²)  = (a + b)(a - b).

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

Thus, the given expression 2x² -50 can be represented as 2(x + 5)(x - 5).

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(12x^5 + x² + 4) /4.

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers common terminology like terms, degree, standard form, monomial, binomial and trinomial.

Given equation

x²/4+3x^5+1

Find common denominator

x²/4+3x^5 . 4/4+4/4

Combine fractions with common denominator

(x²+3x^5 . 4+4)/4

Multiply the numbers

(x²+12x^5 +4)/4

Rearrange terms

(x²+12x^5 +4)/4

(12x^5 + x² + 4) /4

Thus , solution of the given polynomial is (12x^5 + x² + 4) /4. we can also write it as -

3x^5 + x² / 4 + 1.

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The magnitude of the Pennsylvania earthquake is 4.

An exponent is a logarithm. You may convert any exponential expression to logarithmic form. As an illustration, if 8 = 23, the base is 2, the exponent is 3, and the outcome is 8. This may be represented as 3 = log2 8 in logarithmic notation.

The equation y=logb(x+h)+k shifts the logarithmic function, y=logbx, by k units vertically and h units horizontally.

Using the formula,

log I₁ / I₂ = M₁ - M₂

M₁ = 7.7,     I₁ / I₂ = 4900

log 4900 = 7.7 - M₂

log 4900 ≈ 3.69

On calculating,

M₂ ≈ 4

The magnitude of the Pennsylvania earthquake is 4.

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By option verification,

i.e., substituting the options by given equation and verifying

Given -2x + 3y > = 1  and - 5x + 6y <= 1

Substituting option A i.e., ( x , y ) = ( 6,6)

-2x + 3y >=1 --> -2 * 6 + 3 * 6 >= 1

                   --> -12+ 18 >= 1    

                  ---> 6>=1

-5x + 6y<=1--> -5 * 6 + 6 *6 <=1

                 --> -30+ 36 <=1

                -->6<=1

False

Substituting option B i.e., (x ,  y)= (7 ,8)

-2x + 3y>=1  --> -2* 7 + 3 * 8>=1

                   --> -14 + 24>=1

                  --> 10>=1

-5x + 6y<=1 --> -5 *7 + 6* 8<=1

                  --> -35 + 48<=1

                  --> 13<=1

False

Substituting option C i.e., (x, y) = ( 8 ,7)

-2x + 3y >=1 --> -2* 8 + 3* 7>=1

                    --> -16 + 21>=1

                   --> 5>=1

-5x + 6y <=1 --> -5 * 8 +  6 * 7 <=1

                   --> -40 + 42<=1

                  --> 2<=1

False

Substituting option D i.e., (x ,y ) = (9, 7)

-2x + 3y >= 1 --> -2* 9 + 3 * 7 >=1

                    --> -18 +21>=1

                   --> 3>=1

-5x + 6y <=1 --> -5* 9 + 6 * 7 <=1

                    --> -45 + 42<=1

                   --> -3<=1

True

Therefore (x ,y ) = (9, 7) is the solution of the given equation -2x + 3y>=1 and -5x = 6y <=1

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Answer: For the people who were just as confused with the answer above, the answer is D-

Step-by-step explanation:

Answer:

3 = x ÷ 4

Step-by-step explanation:

Given expressions:

8 = x - 2 ⇒ x = 8 + 2= 10

3 = x ÷ 4  ⇒ x = 3*4 = 12

x - 6 = 5  ⇒ x = 5 + 6 = 11

x - 3 = 9  ⇒ x = 9 + 3 = 12

3 of them involves addition, one of them - multiplication

The second expression doesn't belong

The domain of the function C(t) is R - { -5. -2}.

The domain of a function is the set of all values for which the range of the function is defined.

To achieve an immediate response to a particular drug's effects the concentration, C, in mg/L, of a particular medication after being injected into a patient is given by the function

C(t) = [tex]\frac{-18t^2 + 54t}{t^2 + 7t + 10}[/tex] where t represents time in hours.

We know that a function is undefined when its denominator becomes zero.

∴ We have to factor the quadratic equation t² + 7t + 10 which is,

t² + 5t + 2t + 10 = 0.

t(t+5)+2(t+5) = 0.

(t+5)(t+2) = 0.

So, t = -5 or t = -2 are the two values of this equation which makes the function c(t) undefined.

∴ The domain of the function [tex]\frac{-18t^2 + 54t}{(t+5)(t+2)}[/tex] is all real numbers except -2 and - 5 which can be written as

Domain of C(t) is R - { -5, -2}, where R represents all real numbers.

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The expression to represent the total amount of juice left in the jar is: (.25 + .30+  .75) -.20 and  the property used in each step is addition and extraction of Liquid from the mixture.

Expression:

(AJ+GP+PJ)-M

Where:

Apple juice=AJ

Grape juice=GP

Pineapple juice=PJ

Mixture=M

Hence,

(.25 + .30+  .75) -.20

b. Simplifying the expression

(.25 + .30+  .75) -.20

=1.3-.20

=1.10

Therefore the expression to represent the total amount of juice left in the jar is: (.25 + .30+  .75) -.20 and  the property used in each step is addition and extraction of Liquid from the mixture.

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Tonya's total earnings for a month where her total sales were $80,000 is $5,450

What made up Tonya's total earnings?

Tonya's total earnings in any month comprises the basic salary of  $650 , 3% of sales as sales commission on sales revenue of up to $32,000 and 8% as commission on sales in excess of $32,000

total earnings=basic salary+(3%*sales of up to $32,000)+(8%*sales of above $80,000)

basic salary=$650

3%*sales of up to $32,000=3%*$32,000

3%*sales of up to $32,000=$960

8%*sales of above $80,000=8%*($80,000-$32,000)

8%*sales of above $80,000=8%*$48,000

8%*sales of above $80,000=$3,840

Tonya's total earnings for a month=$650+$960+$3,840

Tonya's total earnings for a month=$5,450

Note that the total earnings based on the basic salary of $650 and sales revenue of $80,000 is $5,450

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The equivalent expression is (p3)(6p^4 - 12p^3 - 2p^2 + 4p).

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

(p^3)(2p^2 - 4p)(3p^2 - 1)

Now further solving

(p^3)(2p^2 * 3p^2 - 2p^2 * 1 - 4p * 3p^2 + 4p)

=(p^3) (6p^4 - 2p^2 - 12 P^3 + 4p)

=(p3)(6p^4 - 12p^3 - 2p^2 + 4p)

Hence, the value of expression is (p3)(6p^4 - 12p^3 - 2p^2 + 4p).

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The given function is a linear function because variable have first degree power.

The terms "linear function" in mathematics refer to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

A linear function is a function that represents a straight line on the coordinate plane. As an illustration, the equation y = 3x – 2 represents a linear function because it is a straight line in the coordinate plane.

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Answer:

2

Step-by-step explanation:

8-4=4

4/2=2

Answer:

so you take 2×4=8 and 2×2=4 I think that's how to do it

The variance of the data sets is 77.7

Variance is the average of the squared differences from the Mean.

Therefore, to find the variance we have to find the mean, Then for each number: subtract the Mean and square the result.

Then work out the average of those squared differences.

Hence,

mean = 4 + 16 + 21 + 32 + 11 + 12 / 6 = 96 / 6 = 16

Therefore, lets find the difference and square it.

(4 - 16)² + (16 - 16)² + (21 - 16)² + (32 - 16)² + (11 - 16)²+ (12 - 16)²

144 + 0 + 25 + 256 + 25 + 16 = 466

Therefore,

variance = 466 / 6

variance = 77.6666666667

variance = 77.7

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Using operations with functions, we have that:

a) w(t) = -3t + 5.

b) The pool will leak all the water in 1.67 hours.

c) 1.67 hours.

d) Functions f(t) and d(t) intersect on the graph when all the water of the pool has been leaked.

e) The domain of the function is 0 ≤ t ≤ 1.67.

The amount of water in the pool is determined by the subtraction of the amount flowing into the pool by the amount being drained out the pool.

For this problem, these following functions are given:

Hence the amount of water in the pool is given by:

w(t) = f(t) - d(t)

w(t) = t² + 8t + 9 - t² - 11t - 4

w(t) = -3t + 5.

Hence:

The function is: w(t) = -3t + 5.

The pool will have leaked all the water when:

w(t) = 0.

Hence:

-3t + 5 = 0.

3t = 5

t = 1.67.

The pool will leak all the water in 1.67 hours.

Equaling f(t) and d(t), we have that:

t² + 8t + 9 = t² + 11t + 4.

3t = 5.

t = 1.67.

Functions f(t) and d(t) intersect on the graph when all the water of the pool has been leaked.

The domain of a function is the set that contains all input values of the function. For this problem, the input is the time, hence:

Hence:

The domain of the function is 0 ≤ t ≤ 1.67.

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Greetings from Brasil...

90X - 128 = 24X + 50

90X - 24X = 50 + 128

Answer:

Step-by-step explanation:

The most appropriate choice for modulus function is given by-

values of [tex]x[/tex] = [tex]\frac{48}{29}[/tex] and [tex]\frac{50}{27}[/tex]

What is modulus function?

Modulus function returns the absolute value of a function.

[tex]|x| = \left \{ {{x, x \geq 0} \atop {-x, x < 0}} \right.[/tex]

Here,

For [tex]14 - 8x \geq 0[/tex]

[tex]7(14-8x) = 2x + 2\\98 - 56x = 2x + 2\\56x + 2x =98 -2\\58 x = 96\\x = \frac{96}{58}\\ \\x = \frac{48}{29}[/tex]

For [tex]14 - 8x < 0[/tex],

[tex]7(8x - 14) = 2x + 2\\56x - 98 = 2x + 2\\56x - 2x =98 +2\\54 x = 100\\x = \frac{100}{54}\\ \\x = \frac{50}{27}[/tex]

So,  [tex]x = \frac{48}{29}[/tex] and [tex]x =\frac{50}{27}[/tex]

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The height of building is 0.2 miles.

The given points form a right angled triangle. Top of the building to base of building is the perpendicular, base of building to the angle of elevation is base and angle of elevation to top of the building is hypotenuse. So, considering this, tan of angle of elevation related the two sides of triangle as follows -

tan theta = perpendicular ÷ base

tan 6° = perpendicular ÷ 2

Perpendicular = 2 × tan 6°

Keep the value of tan 6°

Perpendicular = 2 × 0.1

Performing multiplication

Perpendicular = 0.2 miles

Hence, the height of the building is 0.2 miles.

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