In figure #2, identify all of the vertical pairs of angles,

In figure #3, identify all of the complementary pairs of angles,

In figure #4, identify all of the vertical pairs of angles,

And so on for numbers 5-10.

Answer:

\(20\:\mathrm{in}\)

Step-by-step explanation:

The lateral surface area of a cone is given by \(A=\pi r\ell\), where \(r\) is the radius of the base of the cone and \(\ell\) is the cone's slant height.

Solving for \(\ell\):

\(200\pi=10\pi\ell,\\\ell=\frac{200\pi}{100\pi}=\boxed{20\:\mathrm{in}}\)

*Note: It is implied that the surface area of 200 pi square inches is lateral surface area and not total surface area, because it is impossible to obtain a total surface area of 200 pi with a radius of 10 inches.

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer:

y = x

Step-by-step explanation:

an equation that an equation that forms an angle of 45 ° and passes through the origin of the axes is the bisector, and its equation is y = x.

The correct answer is 21/20

1/9•24/25=1.06 making 21/20 the closest option because 21/20 is 1.05 :)

The three solutions of the equation y = -2x - 1 are (–2, 3), (1, –3), and (2, –4).

To find the solutions, we substitute different values of x into the equation and solve for y.

For the first solution, when x is –2, we have y = -2(-2) - 1 = 3. Therefore, the first solution is (-2, 3).

For the second solution, when x is 1, we have y = -2(1) - 1 = -3. Thus, the second solution is (1, -3).

For the third solution, when x is 2, we have y = -2(2) - 1 = -4. Hence, the third solution is (2, -4).

These three points satisfy the equation y = -2x - 1, and therefore, they are the solutions of the equation. They represent coordinate pairs (x, y) where the equation holds true.

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\(\huge\begin{array}{ccc}A=75ft^2\end{array}\)

The formula:

\(\huge\boxed{A=l\cdot w}\)

\(l\) - length of a rectangle

\(w\) - width of a rectangle

\(l=25ft,\ w=30ft\)

substitute:

\(A=25\cdot30=750ft^2\)

Answer:

y = 2x - 10

Step-by-step explanation:

\(y=mx+b\)

\(y=2x+b\)

\(-2=2(4)+b\)

\(-2=8+b\)

\(b=-2-8\)

\(b=10\)

\(y=2x-10\)

Equation:

\(\sf{y = 2x - 10}\)

Explanation:

First, I will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

Where:

Plug in the data:

\(\sf{y-(-2)=2(x-4)}\)

\(\sf{y+2=2(x-4)}\\\sf{y+2=2x-8}\\\sf{y=2x-8-2}\\\sf{y=2x-10}\)

Hence, the answer is y = 2x - 10.

Answer:Step-by-step explanation:

tsa of cube = 6a²

                  =6*10*10

                   =600.

1 / 3 of peanut butter cookies as the number of boxes of lemon cookies sold

Given: Lila sold 1/3 as many boxes of lemon cookies as peanut butter cookies

What is algebra?

Algebra is a domain in mathematics that is used to describe a problem statement in a short and more precise way, simply by pointing the key points. If consist a sequence or combination of characters containing letters, numbers, symbols and more. It is very helpful in assuming conditions where a single or multiple object or element is under the influence of single or multiple objects or elements. We can easily describe it with the help of algebra. Sometimes the assumed expression itself becomes a solution for a given problem when the unknown variable values are known.

We can also make predictions with our expressions for a future event.

Hence algebra plays an important in our life knowingly or unknowingly and even our names, words etc. all can be thought of as the unknown variables with a name and we are the instances which are acting as values for particular names in unique ways.

Every problem's solution is unique to the problem but it can be extended to make relations with other problems with a similar approach or thoughts.

Now let's solve the given question:

Let the number of boxes of lemon cookies sold be x and the number of boxes of peanut butter cookies sold be y.

According to the question,

boxes of lemon cookies = 1/3 boxes of peanut butter cookies

Hence Lila sold 1 / 3 of peanut butter cookies as the number of boxes of lemon cookies.

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Answer:

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7. The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.

Step-by-step explanation:

Answer: x= 3

Step-by-step explanation:

Answer: x=3.5

Step-by-step explanation:

-4x+3=-11

-3 -3

-4x=-14

/4

x=3.5

Answer:

12

Step-by-step explanation:

Given

\(\frac{1}{2}\) x - \(\frac{5}{4}\) + 2x = \(\frac{5}{6}\) + x

Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions

6x - 15 + 24x = 10 + 12x

Answer:

12

Step-by-step explanation:

\(12( \frac{1}{2}x - \frac{5}{4} +2x= \frac{5}{6} + x)\)

6x-15+24x=10+12x

Answer:

q = - 5 , q = \(\frac{7}{5}\)

Step-by-step explanation:

5q² + 18q = 35 ( subtract 35 from both sides )

5q² + 18q - 35 = 0 ← in standard form

consider the factors of the product of the coefficient of the q² term and the constant term which sum to give the coefficient of the q- term

product = 5 × - 35 = - 175 and sum = + 18

the factors are + 25 and - 7

use these factors to split the q- term

5q² + 25q - 7q - 35 = 0 ( factor the first/second and third/fourth terms )

5q(q + 5) - 7(q + 5) = 0 ← factor out (q + 5) from each term

(q + 5)(5q - 7) = 0 ← in factored form

equate each factor to zero and solve for q

q + 5 = 0 ( subtract 5 from both sides )

q = - 5

5q - 7 = 0 ( add 7 to both sides )

5q = 7 ( divide both sides by 5 )

q = \(\frac{7}{5}\)

solutions are q = - 5 , q = \(\frac{7}{5}\)

a. The puck will have two different distances from the bell at different times after Marissa hits the spring.

b. Additional information or an equation where y = 0 is needed to determine if the puck will hit the bell after Marissa hits it.

Part A:

The equation 0.16x^2 + 32x + 20 represents the relationship between the distance (y) of the puck from the bell and the time (x) after hitting the spring. To determine the type of solution(s), we can analyze the discriminant of the quadratic equation, which is the expression under the square root in the quadratic formula.

The discriminant (b^2 - 4ac) for the given equation is:

(32^2) - 4(0.16)(20) = 1024 - 12.8 = 1011.2

Since the discriminant is positive (greater than zero), the equation has two distinct real solutions. This means that the puck will have two different distances from the bell at different times after Marissa hits the spring.

Part B:

To determine whether the puck will hit the bell, we need to consider the distance (y) when it becomes zero. If the distance becomes zero, it means the puck has reached the bell.

To find the time (x) when y = 0, we can set the equation 0.16x^2 + 32x + 20 = 0 and solve for x. However, since the given equation does not provide a value for y = 0, we cannot determine if the puck will hit the bell based on the given information.

Additional information or an equation where y = 0 is needed to determine if the puck will hit the bell after Marissa hits it.

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Answer:

we cant see the full picture :(

Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.

To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.

The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.

The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.

Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.

Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.

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It will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

To solve this problem, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future Value

P = Payment (deposit amount)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, Vincent deposits $165 at the end of each quarter, so P = $165. The annual interest rate is 6%, compounded quarterly, so the interest rate per compounding period, r, would be 6% divided by 4 (since there are 4 quarters in a year), which is 0.06/4 = 0.015.

We want to find the number of years, n, it will take for Vincent's savings to reach $9,000. Let's substitute the given values into the formula and solve for n:

9,000 = 165 * [(1 + 0.015)^n - 1] / 0.015

To solve this equation, we can use algebraic techniques or a financial calculator. Solving the equation, we find that n is approximately 15.83.

Since n represents the number of quarters, we need to convert it to years by dividing it by 4 (since there are 4 quarters in a year):

n (in years) = 15.83 / 4 ≈ 3.96

Therefore, it will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

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Answer:

#5

Ratio of corresponding sides of ΔACE and ΔBCD:

The triangles have similar sides and common included angle C.

#6

Let's verify if the sides (from the least to greatest length) have same ratio:

The ratios are same, it means:

the product of negative 1/3 ⁵⁰

The expression is :

Since the product of negative to negative is positive

and negative x negative x negative = negative

Thus, if we multiply the negative upto odd number times the resultant will be negative

if we multiply the negative upto even number times the resultant will be positive

In the given expression we multiply (-1/3) upto 50 times

50 is the even number so the the resultant value will be positive

Answer : Positive

becasue if we multiply the negative upto odd number times the resultant will be negative & if we multiply the negative upto even number times the resultant will be positive

In "Dracula," the opposing philosophies of science and reason versus superstition and the occult are not fully reconciled, but the characters, such as John Seward and Abraham Van Helsing, approach the matter differently, highlighting the complex interplay between the two.

In Bram Stoker's novel "Dracula," the themes of science and reason versus superstition and the occult are indeed presented as opposing philosophies. However, it is important to note that the novel does not necessarily reconcile these opposing viewpoints completely.

Throughout the story, there are instances where science and reason clash with the superstitions surrounding Dracula and the occult. Characters like Dr. John Seward, who represents the scientific approach, initially struggle to explain the supernatural events they witness using rational explanations. They are faced with a dilemma as the truth of one philosophy seems to contradict the existence of the other.

On the other hand, Abraham Van Helsing, another prominent character, takes a different approach. Van Helsing is knowledgeable in both scientific and occult practices, blending elements of reason and superstition. He recognizes the existence of the supernatural and combines scientific methods with folklore and ancient wisdom to combat Dracula.

While Van Helsing's approach incorporates both science and superstition, it does not necessarily reconcile the two completely. Instead, the novel presents them as complementary forces, suggesting that understanding the supernatural requires an open-mindedness that encompasses both rationality and belief in the unexplained.

In conclusion, "Dracula" presents science and reason as opposed to superstition and the occult. While the characters, such as Seward and Van Helsing, approach the matter differently, the novel doesn't provide a definitive reconciliation between these opposing philosophies. Instead, it explores the tension and overlap between them, showcasing the complexity of understanding the supernatural.

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Answer:

x = 1 .  Hopefully im reading this correct

Step-by-step explanation:

8x - 5 = 3

8x = 5 + 3

8x = 8

x = 8/8

x = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x is 1

Step-by-step explanation:

AC =PR

AB =PQ

8x - 5 =3

8x =3+5

8x =8

x=8/8

x=1

The greatest common factor of 12 and 80 is 12, so we can use the distributive property to factor that out.

Identify the greatest common factor (GCF). In this case, it's 12.

Rewrite the expression so the GCF is outside of the parentheses. 12 + 80 = 12(1 + 80/12).

Simplify the expression inside the parentheses. 1 + 80/12 = 7.

Substitute the simplified expression back into the original equation. 12 + 80 = 12(7).

Simplify the expression. 12 + 80 = 84.

Therefore, 12 + 80 = 84 after applying the distributive property to factor out the greatest common factor of 12.

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Answer:

1 inch = 54.7

Answer:

Last option is correct

x<2

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

If Ariana removes the $4,800 rent from the set, the mean and median of the remaining rents will decrease because $4,800 is a very high value compared to the other rents.

Before removing the $4,800 rent, the mean can be calculated by adding up all the rents and dividing by the total number of rents (5):

Mean = (1,000 + 1,200 + 1,300 + 1,400 + 4,800) / 5 = 2,540

The median is the middle value in the set, which is 1,300.

After removing the $4,800 rent, the new mean can be calculated by adding up the remaining rents and dividing by the new total number of rents (4):

New Mean = (1,000 + 1,200 + 1,300 + 1,400) / 4 = 1,225

The new median is still 1,300 because it is the middle value in the remaining set.

Therefore, removing the $4,800 rent will decrease both the mean and median of the remaining rents.

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(a) The cardinality of A is 37.

The set A is defined as {2, 3, 4, 5, ..., 38}, which is a set of consecutive integers. To find the cardinality of A, we count the number of elements in the set. We can do this by subtracting the smallest element from the largest element and then adding 1:

|A| = 38 - 2 + 1 = 37

Therefore, the cardinality of A is 37.

(b) The cardinality of A is 16.

The set A is defined as the set of all complex numbers of the form a + bi, where a and b are integers such that -1 ≤ a ≤ 2 and -2 ≤ b ≤ 1. To find the cardinality of A, we count the number of elements in the set.

The set of possible values for a is {-1, 0, 1, 2}, and the set of possible values for b is {-2, -1, 0, 1}. Therefore, the set A has 4 × 4 = 16 elements.

Alternatively, we can write out all the elements in the set:

A = {-1 - 2i, -1 - i, -1, -1 + i, 0 - 2i, 0 - i, 0, 0 + i, 1 - 2i, 1 - i, 1, 1 + i, 2 - 2i, 2 - i, 2, 2 + i}

Therefore, the cardinality of A is 16.

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there are infinitely many pairs of positive numbers that satisfy the condition that their product is 384. Examples include (384, 1), (192, 2), (96, 4), and so on.

To find two positive numbers subject to the condition that their product is 384, we can set up an equation and solve for the unknowns.

Let's assume the two numbers are x and y. According to the given condition, their product is 384:

xy = 384

To find the values of x and y, we can use various methods such as substitution or factoring. In this case, we'll use substitution.

We can solve the equation for one variable in terms of the other. Solving for x, we have:

x = 384/y

Now we substitute this value of x into the other equation:

(384/y) * y = 384

Simplifying the equation:

384 = 384

This equation is true for any value of y, as long as it is a positive number. Therefore, y can take any positive value.

To find the corresponding value of x, we substitute the value of y back into the equation x = 384/y:

x = 384/y

For example, if we choose y = 1, then x = 384/1 = 384. Similarly, if we choose y = 2, then x = 384/2 = 192. We can find various pairs of positive numbers that satisfy the condition.

In summary, there are infinitely many pairs of positive numbers that satisfy the condition that their product is 384. Examples include (384, 1), (192, 2), (96, 4), and so on.

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The answer to the given question is that option C: Graph (a) is a one-to-one function; graph (b) is not a one-to-one function.

Here is the reason:One-to-One FunctionA one-to-one function is defined as a function in which one input has only one output. The following definition is a restatement of the definition of a one-to-one function; a function f(x) is one-to-one if no two different input values have the same output value.

There are many ways to illustrate whether a function is one-to-one or not. We'll use the vertical line test to figure out whether a function is one-to-one or not.The given graphs for the respective functions are shown below:Graph (a):Graph (b):By looking at the graphs, it is clear that the graph (a) is a one-to-one function, whereas graph (b) is not a one-to-one function.The graph (a) does not pass the horizontal line test, implying that it is a one-to-one function. Each x-value has a unique corresponding y-value. On the other hand, graph (b) does not pass the vertical line test, implying that it is not a one-to-one function because two or more x-values have the same y-value.

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