Naya had a rectangular carpet, it's too large for her living room.
So she cut off a 1-foot wide strip off each side of the carpet.
As a result, the area of the carpet became 26cubic feet
smaller. What's the original perimeter of this carpet?

The real values of x are -10 and 10

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

(x^2 - 82)^2 = 324

Take the square roots of both sides

So, we have

x^2 - 82 = 18

Add 82 to both sides of the equation

So, we have the following representation

x^2 = 100

Take the square root of both sides

x = -10 and x =10

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Answer:

the answer to it is y = -2x + 8

Step-by-step explanation:

Answer:

6x-3y=12 equals -3y=-6x+12 equals y=2x-4. In slope-intercept form; y=mx+c, m is slope and c is the y-value of the intercept; (0,y). So the slope is 2, and the y-intercept is -4 or (0,-4). answer.

Step-by-step explanation:

pls, tell me if wrong have a good day/night<3

The estimated difference between the areas of the two sizes of portraits is  226.

First, find the area of the large portrait:

A = πr^2 = π(9)^2 = 3.14 * 81 = 253.94

Next, find the area of the medium portrait:

A = πr^2 = π(3)^2 = 3.14 * 9 = 28.26

Finally, subtract the area of the medium portrait from the area of the large portrait to find the difference:

253.94 - 28.26 = 225.68

Rounding to the nearest whole number, the difference is 226.

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The z-score for which the area under the standard normal curve to its left is 0.96 is approximately 1.75.

The z-score for which the area under the standard normal curve to its left is 0.96 can be found using a standard normal table or a calculator with a standard normal cumulative distribution function (CDF).

Using a standard normal table, we find that the z-score that corresponds to an area of 0.96 to its left is approximately 1.75.

Alternatively, using a calculator with a standard normal CDF, we can calculate the inverse CDF of 0.96:

z = invNorm(0.96)

This gives us a z-score of approximately 1.75.

Therefore, the z-score for which the area under the standard normal curve to its left is 0.96 is approximately 1.75, rounded to two decimal places.

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Answer:

Step-by-step explanation:

y=0,16/5

Deposit of $1400 will be double in 14.2 years.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

Given,

Deposited Principal Amount P = $1400

Rate of interest r = 5% = 0.05

Amount A = double the deposit = 2× $1400 = $2800

Let the number of years = n

Amount A = P(1 + r)ⁿ

$2800 = $1400(1 + 0.05)ⁿ

(1 + 0.05)ⁿ = 2

Taking log on both side

n log(1.05) = log2

n =  log2 / log(1.05)

n = 0.3010/0.0212

n = 14.2

Hence, It will take 14.2 years to double the deposit of $1400.

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Answer: 4 aka the one on the bottom

Step-by-step explanation: There is 3 sections, only one filled in to make 1/3, then you split that in half

Answer:

1/6

Step-by-step explanation:

If we know that only 1/3 of the ice cream cake was left, and George ate 1/2 of that, we can use the equation:

1/3 ÷ 2 = 1/6

If we were to divide a fraction, we would take the denominator, in this case its 3, and multiply that by the amount being divided, which is 2.

2 × 3 = 6

Now that we have 6, simply add it back to the fraction denominator with the same numerator which is 1. This would make it 1/6.

Therefore, the picture that best matches this is the last one.

Answer: Let p: Triangle is equilateral. Let q: Triangle is isosceles. Then the symbolic form of the given statement is p ∨ q.

Step-by-step explanation:

The output of the function can be calculated by plugging in 2 for x and evaluating the equation:[tex]f(2) = 2(2^3) + 5(2^2) - 7(2) + 4 = 16 + 20 - 14 + 4 = 26.[/tex]

The Common Core standards for Pre-Calculus focus on the study of functions and their applications, as well as the development of a deeper understanding of the algebraic and geometric principles in the mathematical field. One of the core concepts covered in Pre-Calculus is the concept of polynomial functions. A polynomial function is an expression made up of terms that involve only constants, variables, and exponents. It is represented by the equation [tex]f(x) = ax^n + bx^n-1 + cx^n-2 + … + z[/tex], where a, b, c, …, z are constants and n is a non-negative integer. To find the value of a polynomial function at a given value of x, the equation can be evaluated by plugging in the x value and calculating the output. For example, if a polynomial function is represented by the equation f(x) = 2x^3 + 5x^2 - 7x + 4, and the x value is 2, then the output of the function can be calculated by plugging in 2 for x and evaluating the equation: [tex]f(2) = 2(2^3) + 5(2^2) - 7(2) + 4 = 16 + 20 - 14 + 4 = 26.[/tex]

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Complete question:

What is the output of the polynomial function f(x) = 2x^3 + 5x^2 - 7x + 4 when x = 2?

A parallelogram is a two-dimensional shape with four straight sides that are parallel to one another and with opposite sides that are of equal length. The parallel and equal lengths of the opposing sides give the shape its name.

A rectangle that has been extended or contracted in one direction, or two congruent adjacent rectangles combined, can be used to describe a parallelogram.

a. The scale factor, when a dilation is carried out with centre of dilation A, is the ratio of the lengths of the corresponding sides of the pre-image and image. If the parallelograms ABCD and AB'C'D' have equivalent sides with lengths of AB and AB', respectively, the scaling factor is AB'/AB.

b. Set n equal to the total number of parallelograms ABCD that can fit inside parallelogram AB'C'D'.

Then, by multiplying the area of the parallelogram AB'C'D' by the area of the parallelogram ABCD, the area of the parallelogram AB'C'D' is equal to n times the area of the parallelogram ABCD.

c. The area of the parallelogram AB'C'D' is exactly proportional to the area of the parallelogram ABCD; as a result, if the scale factor of the dilation is k, the area of the parallelogram AB'C'D' is equal to k2 times the area of the parallelogram ABCD.

d. If the area of parallelogram ABCD is 12 square units, then the area of parallelogram AB'C'D' is equal to k2, or k2 times, the area of parallelogram ABCD.

Therefore, A parallelogram's adjacent sides and opposite sides combine to form a pair of neighbouring angles and two parallel lines, respectively.

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The application of the identity tan(a+b) = (tan(a)+tan(b))/(1-tan(a)tan(b)).the result tan(2x) = 2*tan(x)/(1 - tan²(x)).

Statement | Reason

Tangent (2x) | Given= tangent (x + x) | 1= startfraction tangent (x) + tangent (x) over 1 minus tangent (x) tangent (x) endfraction | 2= startfraction 2 tangent (x) over 1 minus tangent squared (x) endfraction | 3.Reason 1 is the application of the identity tan(a+b) = (tan(a)+tan(b))/(1-tan(a)tan(b)). Reason 2 is the application of the identity tan(2x) = 2*tan(x)/(1 - tan²(x)). Reason 3 is the result of the two previous steps, which is the solution to tan(2x). By applying the identities, we have derived the result tan(2x) = 2*tan(x)/(1 - tan²(x)).

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Answer:

Reason 1 is - Addition

Reason 2 is - Tangent Sum Identity

Reason 3 is - Simplify

Step-by-step explanation:

edge

To determine the most common number of candies in a package, the student would need to examine the dot plot and identify the value(s) with the highest frequency.

A dot plot is a type of graph that can be used to display the distribution of data by plotting individual observations as dots on a number line. To determine the most common number of candies in a package, the student would need to look at the dot plot and identify which value appears most frequently.

Typically, the most common number of candies in a package, also known as the mode, would be the value that has the highest number of dots plotted on the number line. If there are multiple values that have the highest frequency, then the data set is considered to have multiple modes. If all values in the data set appear with equal frequency, then the data set is considered to have no mode.

Thus, In conclusion, to determine the most common number of candies in a package, the student would need to examine the dot plot and identify the value(s) with the highest frequency.

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The most common number of candies in a package is 60

To analyze the number  of candies per package for the project

60 candidates make up the majority of packages.

For a project in statistics class, a student chose to examine how many candies are contained in each container.

The maximum number of dots in a dot plot of the candy counts in one package is 60.

60 are the maximum limit of candies that can be placed in each and every package so these are the maximum number of candies that can be placed

The average candidate package has 60

So the most number of candies in each package are 60

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The curve for the relationship between balloon rides and price when the temperature is constant at 50 degrees is illustrated below.

The term constant in math is defined as  a value or number that never changes in expression it's constantly the same.

When the temperature is constant, it means that one of the variables that can affect the demand for balloon rides is eliminated. This allows us to focus on the relationship between balloon rides and price. The relationship between these two variables can be represented by a curve. The curve can show us how the price of a balloon ride changes as the number of rides changes.

Then table for the relationship between balloon rides and price when the temperature is constant at 50 degrees is attached below.

when the temperature is constant, the relationship between balloon rides and price can be shown by a curve. The shape of the curve will depend on the relationship between the two variables, which can be upward-sloping, downward-sloping, or remain constant. The constant temperature allows us to focus on the relationship between balloon rides and price without the interference of other factors that can affect the demand for rides.

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After solving the set we get three unknowns and two equation. So the set S does not spans r^2.

A geometric description of the subspace:

s = {(−1, 4), (4, −1), (3, 3)}

Let the element of R^2 be (x, y).

(x, y) = [tex]c_{1}[/tex](-1, 4) + [tex]c_{2}[/tex](4, −1) + [tex]c_{3}[/tex](3, 3)

(x, y) = (-1[tex]c_{1}[/tex] + 4[tex]c_{2}[/tex] + 3[tex]c_{3}[/tex], 4[tex]c_{1}[/tex] - 1[tex]c_{2}[/tex] + 3[tex]c_{3}[/tex],)

Now the value of

x = -1[tex]c_{1}[/tex] + 4[tex]c_{2}[/tex] + 3[tex]c_{3}[/tex]

y = 4[tex]c_{1}[/tex] - 1[tex]c_{2}[/tex] + 3[tex]c_{3}[/tex]

x - y = -1[tex]c_{1}[/tex] + 4[tex]c_{2}[/tex] + 3[tex]c_{3}[/tex] - (4[tex]c_{1}[/tex] - 1[tex]c_{2}[/tex] + 3[tex]c_{3}[/tex])

x - y = -1[tex]c_{1}[/tex] + 4[tex]c_{2}[/tex] + 3[tex]c_{3}[/tex] - 4[tex]c_{1}[/tex] + 1[tex]c_{2}[/tex] - 3[tex]c_{3}[/tex]

As we can see that there have three unknown and two equations. So we can not solve them.  So the set S does not span R^2.

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1 fluid Pint (U.S.) = 16 fluid Ounces (US)

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The correct option: a) O quantitative data;  defines the cost of the theater ticket.

Data that expresses a definite quantity, amount, or range is known as quantitative data.

Thus, the cost of any theater ticket defines an example of quantitative data.

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Answer:

(36, -4).

Step-by-step explanation:

The scaled point B (9,-2) would be (36,-8) and after the translation up 4 units, the final image of B would be (36, -4).

Answer: Diploid cells divide to form four haploid daughter cells during mitosis.

Step-by-step explanation:

The answer is: Sister chromatids separate to form haploid daughter cells during meiosis.

One of a chromosome's two identical halves that has undergone replication in order to facilitate cell division is referred to as a chromatid. A chromosomal region known as the centromere is where the two "sister" chromatids are fused.

One of the two identical copies of a duplicated chromosome is called a chromatid. At the centromere, a portion of the chromosome, the twin copies of the DNA join together during cell division. Sister chromatids are those that are joined. A chromosome is a protein and DNA-based structure that resembles a thread. It contains an organism's whole genetic makeup. Parents pass this on to their children. One of a chromosome's halves is called a chromatid. There is just one chromatid per chromosome.

The chromatids in each thread-like structure in the chromosome are the result of the chromosome's DNA replicating itself. Haploid cells are produced as a result of the segregation of the chromatids during meiosis II.

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The complete question is as follows:

Answer:

h = 5

Step-by-step explanation:

-3 = -2(h-1) + 5

-3 = -2h + 2 + 5

-3 = -2h + 7

-10 = -2h

h = 5

Let's check

-3 = -2(5-1) + 5

-3 = -2(4) + 5

-3 = -8 + 5

-3 = -3

So, h = 5 is the correct answer.

The equivalent fraction to 4/6 with a denominator of 12 is:

4/6 = 8/12

If we have any fraction a/b, to find a equivalent fraction we just need to multiply both numerator and denominator by the same number (different than zero)

Here we want to find an equivalent fraction to 4/6, such that the new denominator is 12, then we can multiply both numerator and denominator by 2.

We will get:

4/6 = (2*4)/(2*6) = 8/12

So these two are equivalent fractions:

4/6 = 8/12.

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Using the fact that the sum of the interior angles must be 180°, we will get:

∠B  = 101°

XYZ  = 76°

Let's solve the problem for the first triangle.

Ok, remember that the sum of the interior angles of any triangle is always equal to 180°, then we can write:

∠B + ∠C + ∠A = 180°

Replacing the values that we know we will get:

∠B + 44° + 35° = 180°

Now we can solve that equation to get:

∠B = 180° - 44° - 35° = 101°

So the answer is 101°.

For the second triangle, the interior angles are:

(5x + 1)

(3x + 11)

And, the one at the right is:

180° - 12x + 20

Then the sum gives:

(5x + 1) + (3x+  11) + 180° - 12x + 20 = 180

5x + 1 + 3x + 11 - 12x + 20 = 0

-4x + 32 = 0

-4x = -32

x = 32/4 = 8

And XYZ = 12x - 20 = 12*8 - 20 = 76

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The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences.

What is meant by probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability. Calculating a result or an event's likelihood is known as simple probability. To calculate the likelihood of having to pay out a claim, insurance firms employ probability statistics. A simple probability is computed by dividing a particular result by all potential results.

There are now 36 distinct ways the dice can land when two of them are rolled. This amount is calculated by multiplying the first die's possible outcomes (six) by the second die's possible outcomes (six). 6 x 6 = 36.

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Answer:(3*7)

Step-by-step explanation:

Maria has 6.33 flower plants remaining.

A word problem is a short passage presenting a "real-life" situation where an issue has to be solved using math.

Word problems are seen as an essential component of learning in the elementary curriculum because they require students to apply their understanding of various concepts to situations that are representative of "real-life" situations.

Given that the length of the bed is = 37 feet long

The space between plants is = 1 foot

Finding the number of plant flowers to be planted along this bed = 37/1 + 1 = 38 flower plants

Given that

6 flower plants= 1 flat

38*1/6= 6.33

The remaining flower plants are 6.33.

Complete question:

Maria is planting a row of flowers in a bed 27 feet long. The instructions say to space the plants 1 foot apart. The flowers come in flats containing 6 plants per flat.

How many flats will she need?

How many plants will she have left over?

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By definition of midpoint, the coordinates of B is (- 5, 4).

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

The midpoint of AB is M (-2, 1).

And, The coordinates of A are (1,−2).

Now, Let the coordinate of B = (x, y)

Then, By definition of midpoint we get;

⇒ (1 + x) / 2 = - 2

⇒ 1 + x = - 4

⇒ x = - 4 - 1

⇒ x = - 5

⇒ (- 2 + y) / 2 = 1

⇒ - 2 + y = 2

⇒ y = 2 + 2

⇒ y = 4

Thus, The coordinate of B = (- 5, 4)

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The probability that each of the balls will be of a different color is approximately 0.084.

To calculate the probability that each of the balls will be of a different color, we need to consider all possible combinations of 3 balls from the urn. There are a total of 19 balls in the urn, so there are 19 choose 3, or 19!/(3! * (19-3)!) = 191817/3! = 969 possible combinations.

Of these 969 combinations, there are

5 choose 1 * 6 choose 1 * 8 choose 1 = 5 * 6 * 8 = 240 combinations where each of the 3 balls is of a different color. So, the probability that each of the balls will be of a different color is 240/969 = 0.084, or approximately 0.084.

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Answer:

a line

Step-by-step explanation:

2 points make a line

Answer A Line

Step-by-step explanation:

Answer:

The slope of a graph at a point can be found by computing the derivative of the function at that point. The derivative of the function f(t) = 5 - 3/5t is:

f'(t) = -3/5

So the slope of the graph of the function at the point (1/4, 13/5) is -3/5.