Sammie pays $30 for a bag that she buys at a discount of 50%. What is the price of the bag without the discount?

A.
$30
B.
$45
C.
$60
D.
$80

Answer:

remember to round numbers to 1 significant figure

Step-by-step explanation:

usually in an exam when you're asked to estimate the answer to a calculation, usually you round each number to 1 sf and then work on from there.

A polygon is called non-convex if there are "dents" or indentations in it, where the internal angle is greater than 180 degrees.

In other words, a non-convex polygon is a polygon whose line segments intersect, creating an interior angle greater than 180 degrees. This is in contrast to a convex polygon, where all of the interior angles are less than 180 degrees and none of the line segments intersect.

Non-convex polygons can have a variety of shapes and sizes, and can be composed of any number of sides. However, they are generally more difficult to work with mathematically than convex polygons, and often require more advanced techniques to analyze and understand their properties.

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The surface integral ∫SF⋅ dS∫SF⋅ dS where F=〈5x,−4z,4y〉F=〈5x,−4z,4y〉 and SS is the part of the sphere x² +y² +z² =9x² + y² +z² = 9 in the first octant, with orientation toward the origin is 45π / 2.

It should be noted that a surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analogue of the line integral. Given a surface, one may integrate a scalar field over the surface, or a vector field

The integral will be:

45∫π/2 0 (-cos)|π/2 d

= 45( π/2 - 0)

= 45π / 2

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Answer:

log_(12(144))=2

Step-by-step explanation:

Answer:

\(log_{12}\) 144 = 2

Step-by-step explanation:

Using the rule of logarithms

\(log_{b}\) x = n ⇔ x = \(b^{n}\)

Given

12² = 144 ← in index form

with b = 12, n = 2, x = 144, then

\(log_{12}\) 144 = 2 ← in logarithmic form

Answer: 30

Step-by-step explanation: you start with the base and go up, you have to options for cones each option has five options to go on top so two times five is ten, the next item is toppings which you have three options, three times ten is 30

Answer:

I believe the answer is 30

Step-by-step explanation:

You have

2 different types of cones V and U

5 flavors A B C D E

3 toppings 1 2 3

so you would have

VA1

VA2

VA3

VB1

VB2

VB3

VC1

VC2

VC3

VD1

VD2

VD3

VE1

VE2

VE3

and

UA1

UA2

UA3

UB1

UB2

UB3

UC1

UC2

UC3

UD1

UD2

UD3

UE1

UE2

UE3

if I'm wrong I'm sorry

The line that is tangent to both parabolas at this point will have the slope 2x = 2 * 0 = 0 and y-intercept equal to 0, giving us the equation y = 0.

To graph the two parabolas y = x^2 and y = -x^2 + 2x - 5 in the same coordinate plane, we can use a tool such as a graphing calculator or plot the points of the parabolas by hand. The first parabola, y = x^2, will be a downward-facing parabola centered at the origin with a vertex at (0,0), while the second parabola, y = -x^2 + 2x - 5, will be an upward-facing parabola that is shifted to the right by 1 unit and downward by 5 units.

Next, we want to find the lines that are simultaneously tangent to both parabolas. To do this, we find the derivative of each parabolic function, which gives us the slope of the tangent line at any point on the graph.

For the first parabola, y = x^2, the derivative is 2x, so the slope of the tangent line at any point (x, x^2) is 2x.

For the second parabola, y = -x^2 + 2x - 5, the derivative is 2x - 2, so the slope of the tangent line at any point (x, -x^2 + 2x - 5) is 2x - 2.

To find the equations of the two lines simultaneously tangent to both parabolas, we set the slopes equal to each other and solve for x. This gives us the x-coordinate of the points of tangency on both parabolas, and from there we can use the original functions to find the y-coordinate.

For example, setting the slopes equal to each other, we get:

2x = 2x - 2

0 = -2

So, x = 0, and this point (0, 0) lies on both parabolas. Therefore, the line that is tangent to both parabolas at this point will have the slope 2x = 2 * 0 = 0 and y-intercept equal to 0, giving us the equation y = 0.

We can repeat this process to find the equation of the second tangent line.

Note: There may be other points of tangency that are not shown on the graph, and these can be found using the same process.

Therefore, the line that is tangent to both parabolas at this point will have the slope 2x = 2 * 0 = 0 and y-intercept equal to 0, giving us the equation y = 0.

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Answer:

its negative 1/3

Step-by-step explanation:

shawtyyyy

I even tried this and couldn't figure it out

Step-by-step explanation:

Supplementary angle are angles that have their sum to be 180°. According to the question, since ∠1 and ∠2 are supplementary and ∠2 and ∠3 are supplementary, then;

m∠1+m∠2=180° .... 1

m∠2+m∠3=180°.... 2

In order for Daniella to get m∠1 and m∠3 to both equal the same expression, he will need to take the difference of the two equation as shown

(m∠1-m∠3)+(m∠2-m∠2) = 180°-180°

(m∠1-m∠3)+0 = 0

m∠1-m∠3 = 0

Add m∠3 to both sides of the equation

m∠1-m∠3+m∠3 = 0+m∠3

m∠1 = m∠3 Proved!

Answer:

f(0) = 0 , f(- 4) = 2

Step-by-step explanation:

f(0) means what is the value of y when x = 0

From the graph this is the point (0, 0 ) , so

f(0) = 0

(b)

f(- 4) means what is the value of y when x = - 4

From the graph this is the point (- 4, 2 ) , so

f(- 4) = 2

For the piecewise-defined function, f(-4) = 42.

The given function is a piecewise-defined function, which means that it is defined differently depending on the value of x. In this case, we have two different formulas for the function depending on whether x is less than or greater than 3. For values of x less than 3, the function is given by f(x) = 22 - 5x, while for values of x greater than 3, the function is given by f(x) = 2x + 5.

To find f(-4), we need to determine which part of the function applies to the value of x = -4. Since -4 is less than 3, we use the first part of the function, which gives us f(-4) = 22 - 5(-4) = 22 + 20 = 42. This means that if x is equal to -4, the function f(x) evaluates to 42.

Piecewise-defined functions can be useful in modeling real-world problems where the relationship between variables changes depending on certain conditions or constraints. By defining the function differently depending on the value of x, we can more accurately capture the behavior of the system being modeled.

In this case, the function could be used to model a situation where the value of a variable has different relationships to other variables depending on whether it is less than or greater than a certain threshold value.

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Answer:

Step-by-step explanation:

let the total cost be y

and the number of minutes be m

Plan A

$20 and additional 6cent

6cent to dollar =$0.06

the linear expression is given as

y=20+0.06m---------1

Plan B

$31.5 and additional 4cent

6cent to dollar =$0.04

the linear expression is given as

y=31.5+0.04m----------2

Equating 1 and 2 we can find m

20+0.06m=31.5+0.04m

20-31.5=0.04m-0.06m

-11.5=-0.02m

m=11.5/0.02

m=575

therefore m>575

Answer:

\(\displaystyle y + 5 = \frac{-1}{7}(x - 14)\)

General Formulas and Concepts:

Algebra I

Coordinate Planes

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify.

Slope m =  \(\displaystyle \frac{-1}{7}\)

Point (14, -5)

Step 2: Write Equation

Step-by-step explanation:

if p+iq =5+3i so

p=5 & q=3

There are 24 ways in which we can arrange 4 letters of the word "SOLVE" if no letter can be used more than once.

Given a word of 4 letters of the word "SOLVE".

We are required to find the number of ways the four letters of the word SOLVE if no letter can be used more than once.

Permutation is an arrangement of objects in a definite order of things.

Factorial of a number is the product of it and its lesser numbers upto 1.

Number of letters=4

Number of ways=4!

=4*3*2*1

=24 ways

Hence there are 24 ways in which we can arrange 4 letters of the word "SOLVE" if no letter can be used more than once.

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Algorithms should be executed in a reasonable time because when an algorithm takes too long to execute, the user may lose interest, and it may not be useful for real-time applications.

As a result, the algorithm's performance should be as good as possible so that the user does not have to wait a long time to get the answer. Additionally, as the number of data sets grows, an algorithm's execution time grows exponentially, making it more difficult to process more significant data sets.

The goal of an algorithm is to accomplish a specific task. When an algorithm can perform a task quickly and efficiently, it is considered successful. The performance of an algorithm can be measured in terms of its execution time, also known as runtime. The runtime is the time it takes for an algorithm to complete its task from start to finish.

A reasonable time for an algorithm is critical since it decides the algorithm's effectiveness in achieving its goal. In general, algorithms must be effective and accurate, but they must also be quick and efficient. If an algorithm does not execute efficiently, it may be useless to the user because it may not be able to process large data sets quickly or in real time.

Algorithms must be executed in a reasonable time to ensure the algorithm's effectiveness and user satisfaction.

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Answer:

Step-by-step explanation:

x=#of minutes

y= cost

Laceys equation: y=3x+398

Sebastions equation: y=x+466              

intersection (34, 500)

itll take 34 minutes and cost $500

Answer:

Step-by-step explanation:

Any time you have compounding more than once a year (which is annually), unless we are talking about compounding continuously, you will use the formula

\(A(t)=P(1+\frac{r}{n})^{(n)(t)}\)

Here's what we have:

The amount after a certain time that she has in the bank is 4672.12; that's A(t).

The interest rate in decimal form is .18; that's r.

The number of times the interest compounds is 12; that's n

and the time that the money is invested is 3.5 years; that's t.

Filling all that into the formula:

\(4672.12=P(1+\frac{.18}{12})^{(12)(3.5)}\) Simplifying it down a bit:

\(4672.12=P(1.015)^{42}\) Raise 1.015 to the 42nd power to get

4672.12 = P(1.868847115) and divide to get P alone:

P = 2500.00

She invested $2500.00 initially.

Answer:

The highest rate of birds is during the years 4 to 3

(remember that the lowest digit of number of negative is the highest and the highest is the lowest)

Step-by-step explanation:

Rate of Changes:

1 to 2: 5080.86 - 5238/ 2 - 1

=  -157.14/1

= (convert to decimal) -157.1

2 to 3: 4928.43 - 5080.86/ 3 - 2

= -152.43/ 1

= -152.43

3 to 4: 4780.58 - 4928.43/ 4 - 3

= -147.85/ 1

= -147.85

Answer: E

Step-by-step explanation:

The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.

Answer:

c. x = 1/a

Step-by-step explanation:

4ax + 5ax = 3ax + 6

9ax = 3ax + 6 (addition property of equality)

6ax = 6 (subtraction property of equality)

6ax/6 = 6/6 (division property of equality)

ax/a = 1/a (simplify)

x = 1/a

The value of x for the equation  4ax + 5ax = 3ax + 6  is 1/a.

One or two variables make up a linear equation. Neither the numerator nor the denominator of a fraction can be a variable in a linear equation raised to a power higher than 1.

By employing multiple processes, simplification refers to reducing the expression to a simpler form.

The given liner equation is

4ax + 5ax = 3ax + 6

Simplifying the linear equation

=> 4ax + 5ax = 3ax + 6

=>  9ax = 3ax + 6

=> 9ax - 3ax = 6

=>  6ax = 6

=> x = 6/6a

=> x = 1/a

Therefore, the simplified value of the equation 4ax + 5ax = 3ax + 6 is 1/a.

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The variable X has a binomial distribution when the cards are drawn with replacement.

A binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials, where each trial has the same probability of success. In the given scenario, we have 10 cards with numbers from 1 to 10, and we are interested in the variable X, which represents the number of successes (or the number of times a specific number appears) in a fixed number of trials.

To have a binomial distribution, two conditions must be met:

1. The trials must be independent: Each card drawn is independent of the others, meaning that drawing one card does not affect the probability of drawing another card.

2. The probability of success must be the same for each trial: In this case, the probability of drawing a specific number from the 10 cards is 1/10 since each card has a different number.

In the given scenario, if the cards are drawn with replacement (i.e., after drawing a card, it is put back into the set before the next draw), both conditions are satisfied. Each draw is independent, and the probability of drawing a specific number remains the same for each trial.

Therefore, when the cards are drawn with replacement, the variable X, representing the number of times a specific number appears, follows a binomial distribution.

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The population mean  of interest for this example is all of the tire pressure gauges in the shipment of 2000.

1. The problem states that 2000 tire pressure gauges were shipped to an automotive company warehouse.

2. Fifty of the tire gauges were randomly selected from various parts of the shipment and the percent of those that were defective was determined.

3. If the percentage of defective tire gauges was greater than 5%, the shipment was sent back.

4. Therefore, the population of interest for this example is all of the tire pressure gauges in the shipment of 2000.

This example involves an automotive company warehouse receiving a shipment of 2000 tire pressure gauges. Fifty of the tire gauges were randomly selected from various parts of the shipment and the percent of those that were defective was determined. If the percentage of defective tire gauges was greater than 5%, the shipment was sent back. Therefore, the population of interest for this example is all of the tire pressure gauges in the shipment of 2000 since this is the sample from which the percentage of defective gauges was determined.

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The domain of the equation \(y = \sqrt[4]{3 -x}\) is (-∝, 3]

From the question, we have the following parameters that can be used in our computation:

\(y = \sqrt[4]{3 -x}\)

The above equation is a root function

The rule of this type of function is that

For the domain, we set the radicand greater than or equal to 0

So, we have

3 - x ≥ 0

Evaluate

3 ≥ x

In interval notation, we have

Domain = (-∝, 3]

So, the domain is (b) (-∝, 3]

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Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

There are no repeated inputs, hence the relation is a function and option A is correct.

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Answer:

x=15

Step-by-step explanation:

Use the Pythagorean Theorem: a^2+b^2=c^2

1. a = 20, b = x, c = 25

2. 20^2+b^2= 25^2

3. Expand: 400+b^2= 625

4. Subtract + Simplify: b^2= 625-400

5. Fully Solve: b^2 = 225 -> Square root of b^2 = Square root of 225

6. Last Step: Simplify: b = 15.

Here is a similar problem for you to solve, put your answer in the comments.

a= 12, b=5, c=?

Solve for c using the Pythagorean theorem.

The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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The XYZ corporation will receive $1500000 for all the shares sold.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Now,

Given: Cost of 1 share = $15

To find: Money received on selling 100000 shares.

Finding:

By unitary method,

Money received on selling 1 share = $15

Money received on selling 100000 shares = 15(100000) = $1500000

Hence, The XYZ corporation will receive $1500000 for all the shares sold.

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Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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