At Danielle’s clothing boutique, if an item does not sell for eight weeks, she marks it down by 15%. If it remains unsold after that, she marks it down an additional 5% each week until she can no longer make a profit. Then she donates it to charity. Rafael wants to buy a coat originally priced $150, but he can’t afford more than $110. If Danielle paid $100 for the coat, during which week(s) could Rafael buy the coat within his budget? Justify your answer.

Answer: 704 feet

Step-by-step explanation: speed of car is V= 60 miles per hour

First convert the speed from miles per hour to feet per second .

[tex]V=\frac{60\times 5280}{60\times 60} \frac{ft}{s} = 88 \frac{ft}{s}[/tex]

Now Length of tunnel , L= speed of car x time taken

Therefore [tex]L=88\times 8 feet=704 feet[/tex]

The decimal form of the given percent 203% is 2.03

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction. The word "percent" means "per hundred." So, whenever you see a number with a percent sign (%), you can imagine it as a fraction,

Percent is from the Latin adverbial phrase per centum meaning “by the hundred.” The Latin phrase entered English in the 16th century.

Example: 10% means 10 out of every 100. So if 10% of 500 people have ice cream, then 50 people have ice cream.

Given that, what is decimal form for the 203 percent,

Since, the percent is any number in its 100th part,

Therefore, 203% = 203/100

Since, it is 100 in the denominator,

The decimal will be put after two digits in the numerator,

Therefore,

203% = 203/100 = 2.03

Hence, the decimal form of the given percent 203% is 2.03

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To find two numbers a and b whose sum a + b is 0 and whose difference a - b is 2, we can set up a system of equations and solve for the values of a and b.

To find two numbers a and b whose sum a + b is 0 and whose difference a - b is 2, we can set up a system of equations:

a + b = 0

a - b = 2

We can solve this system by adding the two equations:

(a + b) + (a - b) = 0 + 2

2a = 2

a = 1

Substituting the value of a back into one of the equations, we find that b = -1.

Therefore, the two numbers are 1 and -1.

The number of yards that she will need to make 8 uniforms and 15 uniforms will be 96 yards and 180 yards, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A pattern for 1 uniform uses 12 yards of material. Boleslaw wants to know how many yards are needed for 8 uniforms will be given as,

⇒ 8 x 12

⇒ 96 yards

Chantal wants to know how many yards she will need to make 15 uniforms will be given as,

⇒ 15 x 12

⇒ 180 yards

The number of yards that she will need to make 8 uniforms and 15 uniforms will be 96 yards and 180 yards, respectively.

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Answer:

[tex]3^{8}[/tex]

Step-by-step explanation:

[tex]3^{8}[/tex]x1 any expression multiplied by 1 remains the same

alternative form - 6561

The statement that explains whether Julio is correct is: A .Julio is correct because the $45,000 equity in the house is the real asset.

Asset is anything that add value to you or things that are valuable. Example of assets are:

Real asset=House worth-- Mortgage

Real asset=$220,000-$175,000

Real asset=$45,000

Based on the information given we are told the asset was only $45,000 which means that the $45,000 equity in the house is the real asset.

Inconclusion the statement that explains whether Julio is correct is: A .Julio is correct because the $45,000 equity in the house is the real asset.

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When a system has one answer or in other words, the graphs of the equations intersect one time, the system is called a consistent system of linear equations and therefore the equations are independent.

When a system has no solution meaning, the graphs of the equations don’t interconnect at all, the system is known to be an inconsistent system of linear equations and the equations are independent.

So therefore, the answer is yes.

The simplification form  of the expression 15x+14y+3x+7y is 18x + 21y option (D) 18x + 21y is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

15x+14y+3x+7y

After simplification,

Adding like terms:

= 18x + 21y

Thus, the simplification form  of the expression 15x+14y+3x+7y is 18x + 21y option (D) 18x + 21y is correct.

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To find the angle of elevation of the sun, set up a right triangle with the height of the tree and the length of the shadow.

To find the angle of elevation of the sun, we need to set up a right triangle with the height of the tree (50 feet), the length of the shadow (60 feet), and the line from the top of the tree to the end of the shadow.

Using the information given, we can apply the tan(angle) = opposite/adjacent formula to find the angle of elevation.

By calculating the inverse tangent of the ratio of the height of the tree to the length of the shadow, we can determine the angle of elevation to be approximately 45 degrees.

The angle of elevation to the nearest degree of the sun is approximately 40 degrees.

To find the angle of elevation to the sun, we can use the tangent function in trigonometry.

Let's denote:

- Height of the tree = h = 50 feet

- Length of the shadow = b = 60 feet

The tangent of the angle of elevation (θ) is given by:

tan(θ) = opposite / adjacent

tan(θ) = h / b

Substitute the given values:

tan(θ) = 50 / 60

tan(θ) = 5 / 6

Now, to find the angle θ, we need to take the arctangent (inverse tangent) of the ratio:

θ = arctan(5/6)

θ ≈ 39.8 degrees

Therefore, the angle of elevation to the nearest degree of the sun is approximately 40 degrees.

The first factor has a degree of 7, the second has a degree of 6, and the third has a degree of 5. The product has a degree of 7, the highest among them.

To determine the degree of each polynomial in the expression[tex]2a^7 - 16a^6 + 18a^5[/tex], we need to understand that the degree of a polynomial is the highest exponent of the variable in that polynomial.

The first factor is[tex]2a^7[/tex]. Here, the highest exponent of the variable 'a' is 7. So, the degree of the first factor is 7.

The second factor is[tex]-16a^6[/tex]. In this case, the highest exponent of 'a' is 6. So, the degree of the second factor is 6.

The third factor is [tex]18a^5[/tex]. Here, the highest exponent of 'a' is 5. So, the degree of the third factor is 5.

Now, to find the degree of the product of these three factors when added together, we need to find the highest degree among them. In this case, the highest degree is 7 (from the first factor). Therefore, the product has a degree of 7.

In summary:

The first factor has a degree of 7.

The second factor has a degree of 6.

The third factor has a degree of 5.

The product has a degree of 7.

These degrees reflect the highest power of 'a' in each term of the polynomial expression.

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first one is 4-5i

second one is 12+18i

The expression (5−2i)−(1+3i) is equal to 4−5i option (d) is correct and the expression  −2i(−9+6i) is equal to 12+18i option (c) is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

It is given that:

(5−2i)−(1+3i)

After using distributive property:

= 5 - 2i - 1 - 3i

= 4 -5i

−2i(−9+6i)

After using distributive property:

= 18i - 12(i)²

= 18i - 12(-1)

= 18i + 12 = 12 + 18i

Thus, the expression (5−2i)−(1+3i) is equal to 4−5i option (d) is correct and the expression  −2i(−9+6i) is equal to 12+18i option (d) is correct.

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Answer:

h(x)=  3x - 6

Step-by-step explanation:

Edge 2020

The inverse of function f(x) =  [tex]\frac{1}{3}x + 2[/tex]  is -

y = 3(x - 2)

We have a function - f(x) = [tex]\frac{1}{3}x + 2[/tex]

We have to find the inverse of a function.

We say that a function f : A → B is invertible if for every b ∈ B there is exactly one a ∈ A such that f(a) = b.

According to question, we have -

y = f(x) =  [tex]\frac{1}{3}x + 2[/tex]

Replace x with y, to find inverse function f, and compute the resulting equation for x. Exchanging the variables, we get -

x =   [tex]\frac{1}{3}y + 2[/tex]

x - 2 = [tex]\frac{1}{3} y[/tex]

y = 3(x - 2)

Hence, the inverse of function f(x) =  [tex]\frac{1}{3}x + 2[/tex]  is -

y = 3(x - 2)

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Answer:

between 67 and 103 beats per minute inclusive

Answer:

{y | y > –4}

Step-by-step explanation:

The range of f(x) = (3/4)^x - 4 is (-∞, -4].

The range of the function f(x) = (3/4)^x - 4 can be determined by finding the minimum and maximum values that the function can reach.

Putting it all together, the range of f(x) is (-∞, -4].

Answer:

17 cars

Step-by-step explanation:

Mike collects toy cars. He decides to put all of his toy cars in a line so that he can count them.

It is given that 9th car in the line ends up being exactly at the middle of the line.

This statement shows that before and after the middle car there were 8 cars.

So the cars in the line is 8 + 1(middle) + 8 = 17 cars

Mike have total 17 cars.

Final answer:

To confirm that a transformation is not a rigid motion, use a protractor to check for any changes in angles within a shape post-transformation. If the angles have changed, the transformation is not rigid. Corresponding side length changes further confirm this.

Explanation:

To confirm that a transformation is not a rigid motion using a protractor, you must look for changes in the shape's size or the angles between any two adjacent sides. A rigid motion, also known as an isometry, will preserve distances and angles between all points on a shape. Therefore, if after a transformation, using a protractor shows that the angles within the shape have changed, or that the corresponding sides are not congruent, then the transformation is not a rigid motion.

For example, if you have a triangle and apply a transformation, such as dilation or shearing, the new angles can be measured with a protractor. If they are different from the original triangle's angles, this confirms the transformation was not a rigid motion. Additionally, if the distances between corresponding points on the figure have changed, which you can measure with a ruler, this also confirms that the transformation is not rigid.

Answer: The answer is C on Quizizz.

Step-by-step explanation:

Answer:

everything except for a quadrilateral

Step-by-step explanation:

The whole container can hold [tex]5\frac{5}{6}[/tex] liters, calculated by setting up a proportion based on the part of the container currently filled with water ([tex]2\frac{1}{3}[/tex]  liters representing 2/5 of the container).

To determine the full capacity of the container, we set up a proportion. Since [tex]2\frac{1}{3}[/tex]  liters represent 2/5 of the container's capacity, we want to find out how much 5/5 (the whole) of the container can hold. To set up the proportion, we have:

(2/5) of the container = [tex]2\frac{1}{3}[/tex]  liters
(5/5) of the container = x liters
Then, we multiply [tex]2\frac{1}{3}[/tex]  liters by 5/2 to solve for x:

x = ([tex]2\frac{1}{3}[/tex] liters) * (5/2)

x = (7/3 liters) * (5/2)

x = 35/6 liters

x =  [tex]5\frac{5}{6}[/tex] liters

So the whole container would hold  [tex]5\frac{5}{6}[/tex] liters.

We are given a graph of a quadratic function y = f(x) .

We need to find the solution set of the given graph of a quadratic function .

Note: Solution of a function the values of x-coordinates, where graph cut the x-axis.

For the shown graph, we can see that parabola in the graph doesn't cut the x-axis at any point.

It cuts only y-axis.

Because solution of a graph is only the values of x-coordinates, where graph cut the x-axis. Therefore, there would not by any solution of the quadratic function y = f(x).

Answer:

Option B. ∅

Step-by-step explanation:

If a quadratic function f(x) is in the form of f(x) = ax²+bx+c then the solution of the function is the value of x.

If we analyze the graph for f(x) ≤ 0 solution of the function is null because parabola doesn't intercept at x axis.

Therefore there is no solution for the graphed function f(x).

Option B is the answer.