Pls Help!!!: Select All The Expressions That Are Equivalent To (1/2) To The Power Of Negative 3. A). (2024)

Answer: 41 1/14

Step-by-step explanation:

41R1 ==> 41 1/14

14|575

-56

____

15

-14

__

1

1) given

2) corresponding angle theorem

3) vertical angle theorem

4) transitive

Rate of change (m) = 10

Starting amount (b) = 14

It takes 9 days to have 104 boondins.

The equation in slope-intercept form is: y = 10x + 14

Its graph is shown below.

How to Write the Equation of a Line?

Where m represents the rate of change and b represents the y-intercept or starting value, the equation of a line can be written in slope-intercept form as:

y = mx + b.

From the information given, the following are given about the line:

x = number of days

y = total number of boondins

If he had 74 boondins in 6 days and he bought 10 more every day, then:

x = 6

y = 74

Starting value (b) = ?

Rate of change (m) = 10

Substitute the values into y = mx + b to find the value of b:

74 = 10(6) + b

74 = 60 + b

74 - 60 = 60 + b - 60

14 = b

b = 14

Therefore:

Rate of change (m) = 10

Starting amount (b) = 14

To write the equation in slope-intercept form, substitute b = 14 and m = 10 into y = mx + b:

y = 10x + 14

To find how many days it takes to have 104 boondins, substitute y = 104 into the equation, y = 10x + 14:

104 = 10x + 14

Solve for x

104 - 14 = 10x

90 = 10x

90/10 = 10x/10

9 = x

x = 9

It takes 9 days.

For 10 days, it would take:

y = 10(10) + 14

y = 114 boondins

The table is:

(x, y)

(0, 14)

(10, 114)

The graph for y = 10x + 14 is given in the attachment.

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Given a function f(x), the transformation(s) that take place in the graph of -f(x + 4) are; Shifting the function by 4 units to the left and reflection about the horizontal axis.

What is the transformation of the function?

We are told that a function f(x) undergoes transformation to get -f(x + 4).

Now, when it comes to transformation, moving the function by say c units to the right simply means subtracting c units from x. However, moving the function by c units to the left simply means adding c units to x.

Now, when we transform f(x) to f(-x), it simply means a reflection about the vertical axis. Whereas, when we transform f(x) to -f(x), it simply means a reflection about the horizontal axis.

Thus, the transformation of f(x) to -f(x + 4) is simply shifting the function by 4 units to the left and reflection about the horizontal axis.

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When the pit stop duration is one minute other cars will gain 3/2 miles

Time duration of a pit stop during the car race = 10 seconds

The distance gained by other cars = 1/4 mile

Pit stop: During a race, a racing car makes a pit stop to get fuel, fresh tires, repairs, mechanical adjustments, a new driver, or any combination of the aforementioned. The pits typically consist of a row of garages where the work is done outside and a pit lane that runs parallel to the start/finish straight and is connected to the main track at each end.

When the duration is one minute or 60 seconds, then the distance gained by other cars will be:

Distance gained by other cars in 10 seconds*6 = 1/4*6 = 3/2 miles

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All the bottles produced in one day represents the population in statistics .

In statistics, a population is a collection of similar things or events that are important to a specific experiment or topic.

A statistical population can be made up of actual objects (such all the stars in the Milky Way galaxy) or hypothetical groups of things that are assumed to be an infinite number of objects based on experience-based generalizations (e.g. the set of all possible hands in a game of poker). A common objective of statistical analysis is to gather information about a chosen community.In statistical inference, a subset of the population (a statistical sample) is chosen to represent the population in a statistical study.The statistical sample must also fairly and accurately represent the population.

Since the population represents all the data for a particular time period , in this case we can conclude that the population for the factory will be all the bottles produced in 1 day.

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The value of functions f(-5) and g(-4) are 90 and -14 respectively.

What are functions and how to evaluate them?An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable.In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.Finding the value of f(x) =... or y =... that corresponds to a certain value of x is what it means to evaluate a function. To accomplish this, merely swap whatever value has been set to x into each of the x variables.

Given functions are:

g(x) = 4x+2

f(x) = 3x²-3x

We have to find f(-5) and g(-4).

f(x) = 3x²-3x, here in the function we replace the x variables with the value given.

f(-5) = 3x²-3x

= 3(-5)² - 3(-5)

= 75 + 15 = 90

g(x) = 4x+2

g(-4) = 4×(-4) + 2

= -16 + 2 = -14

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Answer:

(4a+b)/4

Step-by-step explanation:

Answer:

x= 2 x= -1 5/7

Step-by-step explanation:

I believe this is the answer I used a math site.

The value gotten when -1/2 is added to 2/3 is 1/6.

What is the sum of the fractions?

Addition is the process that is used in mathematics to determine the sum of two or more numbers. The sign that represents addition is +.

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above the line and the denominator is the number below the line. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.

[tex]-\frac{1}{2} + \frac{2}{3}[/tex]

[tex]\frac{-3 + 4}{6}[/tex] = [tex]\frac{1}{6}[/tex]

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Answers:

Rate of change = 3

The function is increasing

===================================================

Explanation:

The notation g(-2) = 6 means the input x = -2 leads to the output y = 6. Therefore, the point (-2,6) is on f(x). The other point given is (2,18).

For linear functions, the terms "rate of change" and "slope" are the same thing.

Let's use the slope formula on the two points (-2,6) and (2,18)

[tex](x_1,y_1) = (-2,6) \text{ and } (x_2,y_2) = (2,18)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{18 - 6}{2 - (-2)}\\\\m = \frac{18 - 6}{2 + 2}\\\\m = \frac{12}{4}\\\\m = 3\\\\[/tex]

The slope is 3, which can be written as 3/1

A slope of 3/1 means we go up 3 and to the right 1.

slope = rise/run = 3/1

rise = 3 = go up 3

run = 1 = go to the right 1

Since the slope is positive, this means the line is going uphill as we move to the right. In other words, the function is increasing.

Using the number line we get the value as 5 .

In basic mathematics, real numbers are shown as a graphic of a graduated straight line called a number line.

Every point on a number line is considered to correspond to a real number, and every real number is assumed to correspond to a point.The integers are typically shown as lines of specially chosen, evenly spaced dots. Even though the picture only shows the integers, as well as numbers that are in between the integers, the line contains all real numbers, going forever in both directions. When teaching fundamental addition and subtraction with negative numbers, it is widely used as a teaching technique.

Now as represented in the number line we subtract the numbers to get

−1−(−6) = 5

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The given linear equation has solutions 1000 and 2000. This are values for which the equation is true.

Solving linear equations

Linear equations are equations that has a leading degree of 1. Given the equation below, we are to determine the value of x from the expression.

Given the linear equation

x/50=20=40

This can be splitted into x/50=20 and x/50 = 40

Solve both equations

x/50=20

Cross multiply

x = 50 * 20

x = 1000

Similarly;

x/50 = 40

Cross multiply

x = 50 * 40

x = 2000

Therefore the solutions to the given system of linear equation are 1000 and 2000

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The slope of the functions f(x) and j(x) will be -1. And the y-intercept of the function j(x) will be 19.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If f(x) = - x and j(x) = f(x) + 19

Then the function j(x) will be given as,

j(x) = f(x) + 19

j(x) = - x + 19

The slope of the functions f(x) and j(x) will be -1. And the y-intercept of the function j(x) will be 19.

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Answer:

Yes, reflecting a shape across the x-axis and then rotating it 90° clockwise about the origin gives the same results as reflecting it

Step-by-step explanation:

Answer: step 1 = C step 2 = A

Step-by-step explanation: 190 abc 123

91
x 43
———-
273
364
+
————
3913

Answer:

3913

Step-by-step explanation:

Step:1 setup

set up your multiplication problem like this

91

43

X_______

Step:2 Multiply 1 x 3=3 Put 3 below the line and 0 as a reminder on top:

91

43

x_______

3

Step 3:Multiply

3 x 9 = 27. Take 27 and add 0 from the previous step to get 27 Enter 27 the bottom:

91

43

X

----------

273

step 4:Add 0 Enter a 0 at the bottom right as a place holder,because you now move over one digit:

91

43

X

_______

273

+ 0

Step 5: Multiply

4 x 1 = 4. Put 4 below the line and 0 as a reminder on top:

91

43

x

________

273

+ 40

Step 6:Multiply

4 x 9 = 36 and add 0 from the previous step to get 36. Enter 36 at the bottom:

91

43

x

__________

273

+ 3640

Step 7: Add to get answer

Add up the bottom two numbers (273 + 3640 = 3913 to get the answer:

91

x 43

_________

273

+ 3640

____________

= 3913

Answer: B

Step-by-step explanation:

A $70 is fixed, we have to add $50 each hour. So, it will be 70 + 50x. If he charged $285 overall, this means that 70 + 50x = 285

50x = 285 - 70

50x = 215

x = 215/50 = 4.3

Given,

Elijah buys $112 worth of exterior equipment from the stereo store.

Processing fee for using the credit card = 2.5%

Therefore,

Total cost of the exterior equipment

= Worth price + procession fee

= 112 + 2.5% of 112

= 112 + 2.8

= 114.8

Hence, the total cost would be $114.8

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The relationship between -5/6 and -7/10 is -5/6< -7/10.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The sign for more than is >. In other words, -7/10>-5/6 means "-7/10 is bigger than -5/6." The sign for less than is <.There is two other sign which represents greater than or equal to and less than and equal to.

It is given that,

Fraction 1,

-5/6 = -0.83

Fraction 2,

-7/10 = -0.7

As we know the value of -0.7 is greater than -0.83.

As a result, the relationship is -5/6< -7/10.

Thus, the relationship between -5/6 and -7/10 is -5/6< -7/10.

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after using each and every details of science class and maths class given in the question

solution of

part a - f(2) = 81

part b - g(2) = 83

part c - Test average for maths class after test 2 is greater

WHAT ARE FUNCTIONS ?

Function is a mathematical phrase, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions are used frequently in mathematics and are crucial for constructing physical links in the sciences.

CALCULATION

f(x) = 0.5x + 80

solving (A) f(2) = 0.5 * 2 + 80

= 1 + 80

= 81

solving (B) : g(2) =83 when x= 2

so :

g(2) = 83

solving (C) : which is greater f(2) or g(2)

in (a) and (b)

f(2) = 81

g(2) = 83

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Answer:

part a - f(2) = 81

part b - g(2) = 83

part c - average for maths class after test 2 is greater

Step-by-step explanation:

Got it right

Answer:

Binomial polynomial means that no negetive power on the no

(1) y² + √2 is correct answer

Answer:

C) square root of 8

=====================

Given expression

Open parentheses 2 to the power of 3 close parentheses to the power of one half.

Convert it to math language and simplify

[tex](2^3)^{\frac{1}{2} =[/tex] Expression as described[tex](8)^{\frac{1}{2} =[/tex] Cube of 2 is 8[tex]\sqrt{8}[/tex] Different form of square root

Correct choice is C

The equation of the line is y = 3x + 6

What are linear equations?

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the equation of the line?

The given parameters are

Slope, m = 3

y-intercept, c = 6

A linear equation is represented as

y = slope * x + y-intercept

i.e.

y = mx + c

So, we have

y = 3x + 6

Hence. the linear equation is y = 3x + 6

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From the diagram in the image below, it can not be assumed that A C D is a right angle. Option A

This is further explained below.

What is a triangle's right angle?

Generally, In a triangle, a right triangle, also known as a right-angled triangle, an orthogonal triangle, or what was previously known as a rectangle triangle, is a triangle in which either one of the triangle's angles is a right angle or two of the sides are perpendicular to one another.

The relationship between the sides of a right triangle and the other angles provides the foundation for the study of trigonometry.

In conclusion, It is not possible to deduce from the diagram in the figure below that the angle ACD are right angles. Alternative A

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Answer: The rectangle has 2, and the triangle has 3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

split 221 students in a ratio of 7:6

let x be 1/13th of the votes

221 = 7x + 6x

221 = 13x

17 = x

julia is the 6 in 7:6

6x

6(17)

102

the answer is c

Answer:

a₁₀ = 26

Step-by-step explanation:

to find a₁₀ substitute n = 10 into the nth term formula

a₁₀ = 3(10) - 4 = 30 - 4 = 26

y=-3

1) Since the graph shows us a horizontal line, where any value of x corresponds to y=-3

(2, -3), (3,-3) etc..

2) Then we have a constant function. y=-3

Answer:

y = - 3

Step-by-step explanation:

the line is horizontal and parallel to the x- axis with equation

y = c ( c is the value of the y- coordinates the line passes through.

the line passes through (- 4, - 3 ) and (2, - 3 ) both with y- coordinate - 3 , so

y = - 3 ← equation of line

We can conclude that the angle ∠RST is 110°.

What are angles?An angle is a figure in plane geometry that is created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is the source of the English word "angle." The common endpoint of two rays is known as the vertex, and the two rays are referred to as the sides of an angle.

So, as we can see line R and line T are parallel to each other.

Join, R and T with a line that makes a right angle with both lines.

(Refer to the image attached below)

Now, we know that ∠R = 90° and ∠SRT = 90 - 60 = 30°.Similarly, ∠T = 90° and ∠STR = 90 - 50 = 40°.

In triangle SRT, we know the two angles which are ∠R = 30° and ∠T = 40°.

We know that sum of all angles in a triangle is 180°.

So, ∠S in triangle SRT will be:

40 + 30 + ∠S = 18070 + ∠S = 180∠S = 180 - 70∠S = 110

Therefore, we can conclude that the angle ∠RST is 110°.

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