Simplify:
√-27
A. 7-271
B. 311-3
C. Зіз
D.27i

Answer:

x = 3.33

Step-by-step explanation:

2(4x-3)-8=4+2x

solve the brackets first

8x - 6 - 8 = 4 + 2x

8x - 16 = 4 + 2x

now transpose

8x - 2x = 4 + 16

6x = 20

x = 20 ÷ 6

x = 3.33

Answer: x = 3 (if you don't understand why the answer is 3, look at the attachment above)

Please find the answer attached above in this:-

\( {4}^{3} = 63\)

Answer: $25.41

Convert the percentage into a decimal, and then multiply that decimal by the total price to find the tip. Subtract the tip amount from the total price to find the price before the tip.

15 ÷ 100 = 0.15

15% of 29.90 = 0.15 · 29.90 = 4.48500 ≅ $4.49

$29.90 - $4.49 = $25.41

∴ the price before tip, b, of Mr. Johnson's lunch is $25.41.

Answer:

4y - 9 > 17

Step-by-step explanation:

Translate the sentence into an inequality. Nine subtracted from the product of 4 and a number is greater than 17. Use the variable y for the unknown number.

Unknown variable = y

Nine subtracted from the product of 4 and a number is greater than 17

4 multiplied by unknown variable 'y' = (4 * y) = 4y

9 subtracted from (4y) = 4y - 9

Then, the result is said to be greater than 17

4y - 9 > 17

Hence, The Inequality expression equivalent to the sentence above is 4y - 9 > 17

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

it is suggested that students allocate around 2-3 hours of study time per credit hour per week for a college-level course. However, the actual study time required may vary based on individual learning styles, prior knowledge, and the specific requirements set by professors or institutions.

Let's apply this general guideline to your scenario:

One three-credit class that is less demanding:

Assuming 2-3 hours of study per credit hour, for a three-credit class, you would ideally spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Two three-credit classes that are typically demanding:

Similarly, for each of the two three-credit classes, you would spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Since you have two such classes, the total time would be:

2 * (6-9) hours = 12-18 hours per week.

One four-credit class that is very challenging:

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

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Answer: The answer may be, (2x+3) (2x-3)

Rewrite 4x^ as (2x)^

As- (2x)^-9

Then Rewrite 9 as 3^

Use the formula, 9^ - b^=(a+b) (a-b) where a= 2x and b=3.

(2x+3) (2x-3)

Also, the sign ^, stands for the 2 sqaure root.

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

x = 3

4x² - 9 = 4(3)² - 9 = 4(9) - 9 = 36 - 9 = 27

Trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degree is sine.

Catalina extends a ladder 15 feet and places it diagonally on a tree to get her cat that is perched on the lowest branch

We have to find the trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degrees angle with the ground.

We know that sine is the ratio of opposite side by hypotenuse

Here the ladder acts as the hypotenuse.

Hence, trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degree is sine.

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Catalina extends a ladder 15 feet and places it diagonally on a tree to get her cat that is perched on the lowest branch Which trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degrees angle with the ground? Enter your answer as a single word (either sine, cosine)

Since an adult movie ticket costs $8 and a kid movie ticket costs $6, the equation for the given condition is 8x+6y=40.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical phrase with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

The cost of movie ticket for adult= $8

The cost of movie ticket for adult= $6

Total amount to spend= $40

Let x be the number of adult and y be the number of children,

8x+6y=40

The equation for the given condition is 8x+6y=40 as the cost of movie ticket for adult is $8 and for children, it is $6.

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Answer:

19

Step-by-step explanation:

f(x) = 3x^2-3x + 1

Let x = -2

f(-2) = 3( -2)^2-3*-2 + 1

       = 3 * 4+6+1

       = 12 +6+1

       = 19

Answer:

Increasing

Step-by-step explanation:

The computation is given below:

Given that

y = 74 × (1.01)^8

= 74 × 1.082856706

= 80.1314

As it can be seen that the initial amount is 74 but after solving the given equation the value is increased as it shows 80.1314

Therefore it is increasing

Answer: 720, 1440, 2160, 2880

Step-by-step:

Create arbitrary variable a, such that 7200 = a + 2a + 3a + 4a.

Reduce to get 720 = a

and plug in a into the set {a, 2a, 3a, 4a} to get the answer

\(\huge\boxed{Hi!}\)

We are given 2 points that the line passes through, so we can determine its slope by using this formula:

\(\displaystyle\frac{y2-y1}{x2-x1}\)

However, there's a shortcut.

If you look at the two points, you will see that the x-coordinates of these 2 points are the same.

Let's plug in the numbers and see what we get:

\(\displaystyle\frac{9-5}{12-12}\)

Subtract:

\(\displaystyle\frac{4}{0}\)

Do you see what I see?

Remember, we cannot divide by zero, because division by 0 is

undefined.

Thus, the slope of the line is also undefined.

Now, is Phoebe right? Yes, sure!

The slope of the given line is undefined.

Here's something you should remember:

\(\bigstar\) If we are given 2 points, and their x-coordinates are the same, then the slope of the line is undefined.

\(\bigstar\) If we are given 2 points, and their y-coordinates are the same, then the slope of the line is 0.

Hope it helps! Enjoy your day!

~Just a determined gal

*The crown would be greatly appreciated ;)

\(\bf{erutaNtneliS\)

Paul's monthly payment is $142.

What is the monthly payment?

What you pay each month to the lender to pay back your loan is known as your monthly payment. Your mortgage loan's terms will determine how much you pay each month. This includes both the loan's interest and principal, which is the actual amount owed.

Here, we have

The price of the TV is £1600 plus 20% VAT and he deposited £500 and the balance in ten equal monthly payments.

We have to calculate each monthly payment.

By applying monthly payment formula, we get

Price of the TV = $1600

20% VAT = $(1600 ×(1+ 20/100))

= $1920

He pays a £500 deposit.

So, balance = $(1920 - 500) = $1420

When this balance is paid in ten equal monthly payments, then the amount of each payment is $(1420/10)  = $142

Hence, Paul's monthly payment is $142.

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The radius of convergence is infinity, which means the power series converges for all values of x.

The integral ∫ x tan^-1 (x^2) dx can be evaluated as a power series by using the formula for the power series expansion of tan^-1(x):

tan^-1(x) = ∑ (-1)^n (x^(2n+1))/(2n+1)

Substituting this into the integral and integrating term by term, we get:

∫ x tan^-1 (x^2) dx = ∑ (-1)^n (x^(2n+2))/(2n+2)(2n+1)

This is the power series expansion of the given integral. To find the radius of convergence, we can use the ratio test:

lim |a(n+1)/a(n)| = lim |x^2/(2n+3)| = 0 as n -> ∞

Therefore, the radius of convergence is infinity, which means the power series converges for all values of x.

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Answer:

Rate of change is 1

Step-by-step explanation:

Well rate of change in a function is basically slope

theres 1 rise and.1 run

1/1=1

So rate of change is 1

The volume of remaining solid is 7 in³.

The whole three-dimensional area occupied by a cube is its volume.

A cube is a solid 3-D object with six square faces and equal-length sides.

The cube is one of the five platonic solid shapes and is also referred to as a regular hexahedron.

The cubic units are used to represent the cube's volume.

Imagine performing each cut individually.

A box 2*2*3 is eliminated in the initial cut. Two boxes with dimensions of 2*2*0.5 are removed during the second cut, and the third cut eliminates the same number of boxes on the final two faces.

Therefore, the sum of all cuts is 12 + 4 + 4 = 20.

∴Volume of rest of cube = 3³-20

                                         = 7 in³

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Answer:

There are 0 solutions

Answer:

Zero

Step-by-step explanation:

Let's solve the equation first.

For now, I will focus on the LHS and simplify that:

3(x + 2) = 3x + 1

3x + 6 = 3x + 1

Rearrange

3x - 3x = 1 - 6

Simplify

0x = -5

0 = -5 which isn't true

So 3(x + 2) = 3x + 1 has 0 solutions.

The intersection points between the two lines y > (3x-4) and y > -(1/2)x+3, from the graph is (x, y) = (2, 2)

To graphically solve the system of inequalities, we will first graph the two boundary lines, which are the lines obtained by replacing the inequality symbols with equality symbols in each of the given inequalities:

y > 3x - 4 (red dotted line)

y > -(1/2)x + 3 (blue dotted line)

When we plug (0, 0) into y > 3x - 4, we get:

⇒ 0 > 3(0) - 4

⇒ 0 > -4

This inequality is true, so we shade the half-plane above the solid line,

y = 3x - 4

When we plug (0, 0) into y > -(1/2)x + 3, we get:

⇒ 0 > -(1/2)(0) + 3

⇒ 0 > 3

This inequality is not true, so we shade the half-plane below the dashed line, y = -(1/2)x + 3

The solution set is the region that is shaded in both half-planes, which is the triangular region above the solid line and below the dashed line.

Now, we have to determine the intersection points between the two lines y > (3x-4) and y > -(1/2)x+3, from the graph, we get; (x, y) = (2, 2)

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Graph of the solution-

The angles a and b are complementary in the fact that they will add up to 90 degrees.

Answer:

B. complementary angles

Step-by-step explanation:

Vertical angles:

Two angles opposite of each other when 2 straight lines intersect. These are always congruent.

Complementary angles:

Two or more angles that add up to 90 degrees.

Supplementary angles:

Two or more angles that add up to 180 degrees.

The purpose of this test is to evaluate the effects of rotational acceleration on the semicircular ducts and dynamic equilibrium. This test is called Rotational Acceleration Test.

The purpose of the rotational acceleration test is to assess how the semicircular ducts and the body's dynamic equilibrium respond to rotational movements. The semicircular ducts are part of the vestibular system, which is responsible for detecting changes in head position and rotational movements.

During the test, the individual is subjected to controlled rotational acceleration, usually in a specially designed chair or device. The rotational acceleration induces a sense of spinning or movement, stimulating the semicircular ducts.

By observing the individual's responses, such as eye movements or changes in body posture, healthcare professionals can gather information about the functioning of the vestibular system and the body's ability to maintain balance.

This test is particularly useful in diagnosing disorders of the vestibular system, such as vestibular dysfunction, vertigo, or balance disorders. It helps healthcare providers determine the extent of the impairment and develop appropriate treatment plans or interventions to improve balance and reduce symptoms.

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Answer:

Square root of 56 so in simplest radical form 4 root 4

Step-by-step explanation:

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line

Step-by-step explanation:

Remeber what a slope is :-)

Answer:

c

3 |x+3 |=12

|x+3|=4

x+3=4 or x+3=-1

x=-1 x=-4

All parts of the problem given have been explained and provided below.

Variables in any particular dataset are defined as any characteristics, numbers, or quantity that can be measured or counted to give information about any object, on which the dataset is based.

So, the variables in this given dataset are;

Overall score

Recommended

owner satisfaction

Overall miles per gallon

Acceleration (0-60) sec

Categorical or qualitative variables are those which can't be quantified or measured. Their values are defined by an order relation between the different categories.

the categorical variables in this dataset are,

Recommended

Owner satisfaction

Quantitative variables are those which can be measured in an order to provide information about an object.

the quantitative variables in this dataset are,

Overall score

Overall miles per gallon

Acceleration (0-60) sec

In the given dataset, 7 vehicles are recommended,

So their percentage would be,

7/15 × 100 = 46.67%

The average overall miles per gallon of these 15 vehicles is 25.4.

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An algebraic expression which could equal n for some integer t include the following: C. 4t - 1.

In Mathematics, an integer can be defined as a whole number that may either be positive, negative, or zero (0). This ultimately implies that, a positive integer simply refers to a whole number that is greater than or equal to one (1)

Since the remainder is equal to three (3) when a positive integer n is divided by 4, we would write an algebraic expression for the word problem and then evaluate it as follows;

n = 4t + 3

n = 4(t - 1) + 3

n = 4t - 4 + 3

n = 4t - 1.

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When a positive integer n is divided by 4, the remainder is 3. Which of the following could equal n for some integer t?

(A) 4t +2

(B) 4t

(C) 4t - 1

(D) 4t - 2

(E) 4t - 3

Answer:

number of miles driven

Step-by-step explanation:

the number of miles that a vehicle can go depends on the amount of gas the car has, the number of gallons of gas is the independent variable

Answer:

the answer is.-

2,250 tickets

The Solution.

By Trigonometrical Ratios, we have,

SOH, CAH, TOA

Where S

Where in the case at hand,

H = 11

To find the value of x in the given problem,

Taking 25 degrees as our angle of interest, we have,

One of the required expressions is:

Similarly, taking 65 degrees as the angle of interest, we have

The other required expression for finding x is:

The correct answers are;

x = 11 sin 65 degrees

x = 11 cos25 degrees