How can we express the area of the rectangle in terms of the variable x? 15x² + 15x + 7 o 15x?+ 25x + 10 O 8x2+15x + 7 O 8x2 + 25x + 10

Answer:

Ten thousands place.

Answer:

14 is the answer

Step-by-step explanation:

because 14-8=6

Answer: 14

Step-by-step explanation:

8+6 is equal to 14, so ?-8=6 is equal to 14

The power to which a number or expression is raised is called the exponent.

1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.

2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.

3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.

4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:

  - Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.

  - Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).

  - Zero exponent: Always equals 1. For example, \(2^0\) = 1.

  - Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.

5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).

Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.

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Answer:

6.3

Step-by-step explanation:

25.75-19.45=6.3

please give me brainliest!!<3

Answer:

35.7 km and 248.3 °

Step-by-step explanation:

I will attach the diagram to an image to make it easier to understand.

We will use the formula corresponding to the law of cosine

y² = 42² + 28² - (2 * 42 * 25 * cos 58 °)

y² = 2389 - 1112.83 = 1276.17

y = √1276.17

y = 35.72 km

Now, to calculate the surveyor's bearing from her base camp we must use the sine law:

[(Sin 58 °) / y] = [(Sin A) / 42]

Without A = (42 * without 58 °) /35.72

A = sin⁻¹ (0.9971)

A = 85.7 °

Bearing of the surveyor from the base camp = 270 ° - (85.7 ° - 64 °) = 248.3 °

The probability that the document will reach its destination through service B, given that it has already reached its destination through service A, is 0.8.

The conditional probability we are looking for is P(B | A) where B is the document reaching its destination through service B and A is the document reaching its destination through service A.

P(B | A) = P(A and B) / P(A)

We know that the document has already reached its destination through service A,

therefore P(A) = 1.

The probability that it will also reach its destination through service B is the conditional probability P(B | A).

Therefore, P(B | A) = P(A and B) / P(A) can be simplified to P(B | A) = P(A ∩ B) / P(A)

where P(A ∩ B) is the probability that the document reaches its destination through both service A and service B.

Let's assume that the probability of the document reaching its destination through service A is 0.9 and the probability of the document reaching its destination through service B is 0.8.

The probability of the document reaching its destination through both services A and B is the product of the probabilities P(A) and P(B) which is 0.9 x 0.8

= 0.72.

Substituting these values in the equation P(B | A) = P(A ∩ B) / P(A) gives us:

P(B | A) = 0.72 / 0.9 = 0.8

Therefore, the probability that the document will reach its destination through service B,

given that it has already reached its destination through service A, is 0.8.

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Answer:

√28561

Step-by-step explanation:

√ = 169

Square root of 169 = 169²

√28561 = 169

[I apologize if I misunderstood the question.]

A theorem which is used to find the rational solutions of a polynomial equation is known as the rational root theorem.

A polynomial expression is given and after solving them we get the two values known as the roots of the function.

These are also known as the zeros of polynomial as after putting these values in the equation we get the result as 0 .

We should use the rational root theorem only when the value of coefficients are small.

The theorem states that each rational solution x = p ⁄ q, when on simplified satisfies the below mentioned points,

p is an integer factor of the constant term a0, and

q is an integer factor of the leading coefficient an.

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The value of angles in inscribed quadrilateral are μ(∠zyx) is 92⁰ and μ(∠yxw) is 65⁰.

An inscribed quadrilateral is a quadrilateral that can be inscribed in a circle, meaning that its vertices all lie on the circumference of a circle. In other words, the four vertices of an inscribed quadrilateral are concyclic.

The opposite angles of an inscribed quadrilateral are supplementary, which means that they add up to 180 degrees. This property is known as the "interior angle sum" of a quadrilateral.

μ(∠zyx) + μ(∠xwz) = 180⁰ (opposite angle of cyclic quadrilateral are supplementary)

μ(∠xwz) = 88⁰

μ(∠zyx) = 180⁰ - 88⁰ = 92⁰

μ(∠yzw) is an inscribed angle that intercepts the arc 112⁰ and 118⁰. Therefore,

μ(∠yzw)

= (112⁰ + 118⁰)/2

= 230⁰/2

= 115⁰

μ(∠yxw) + μ(∠yzw) = 180⁰  (opposite angle of cyclic quadrilateral are supplementary)

μ(∠yxw) = 180⁰ - 115⁰ = 65⁰

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Answer:

14.

Step-by-step explanation:

this a addition problem since it says "overall".

you simply add them.

Answer:

\(m = (5n/4) -7\)

Step-by-step explanation:

\(n = 4/5(m + 7);m\\(5)n = 4(m + 7)\\5n/4 = m + 7\\m = (5n/4)/7\)

The binary structures U₅ and U₆, consisting of the fifth and sixth roots of unity respectively, are not isomorphic due to the difference in their element compositions.

To determine if the binary structures U₅ and U₆, consisting of the fifth and sixth roots of unity respectively, are isomorphic, we need to compare their algebraic properties.

The group U₅ consists of the fifth roots of unity, which can be represented as {1, ω, ω², ω³, ω⁴}, where ω is a complex number satisfying the equation ω⁵ = 1.

The group U₆ consists of the sixth roots of unity, which can be represented as {1, ξ, ξ², ξ³, ξ⁴, ξ⁵}, where ξ is a complex number satisfying the equation ξ⁶ = 1.

To determine if U₅ and U₆ are isomorphic, we need to check if there exists a bijective function (an isomorphism) between the two groups that preserves their binary operation. In other words, we need to see if there is a mapping between the elements of U₅ and U₆ that preserves the multiplication of the roots of unity.

By comparing the elements of U₅ and U₆, we notice that U₅ does not contain all the elements present in U₆. Specifically, U₅ does not include the element ξ⁵, which is a part of U₆. Since there is no one-to-one correspondence between the elements of U₅ and U₆, we can conclude that U₅ and U₆ are not isomorphic.

In summary, since their elemental compositions differ, the binary structures U₅ and U₆, which represent the fifth and sixth roots of unity, respectively, are not isomorphic.

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Answer:

35

Step-by-step explanation:

1.8 * 15 = 27 total earning

27-20 = 7 profit

$ 7 profit  / $20 cost  = 0.35

0.35*100 = 35%

110.859

Hi its me again

Answer:

1026

Step-by-step explanation:

as everyone knows that up to 4 the number increases so here it is 4 so it decreases we can't increase it .

hope it helps.

Answer:

2.9

Step-by-step explanation:

5% of 58

58 × 5 ÷ 100 = 2.9

Step-by-step explanation:

Convert 5% to a fraction first.

\(5\% = \frac{5}{100} \\ = \frac{1}{20} \)

5% of 58

=

\( \frac{1}{20} \times 58 \\ = \frac{58}{20} \\ = \frac{29}{10} \\ = 2.9\)

It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.

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Answer:

Step-by-step explanation:

The correct answer is d. the chi-square test compares the difference between expected and observed frequency counts.

The chi-square test is a statistical test used to analyze the distribution of categorical data. It compares the observed frequency counts of a categorical variable with the expected frequency counts.

The expected frequency counts are calculated based on a null hypothesis, which assumes that there is no significant difference between the observed and expected frequencies.

The test statistic for the chi-square test is calculated as the sum of the squared differences between the observed and expected frequency counts, divided by the expected frequency counts.

The resulting value is compared to a chi-square distribution with a certain number of degrees of freedom to determine the p-value and assess the significance of the observed difference.

Therefore, options a, b, and c are incorrect because they describe other types of statistical tests that are used to compare means or variances between groups, while the chi-square test is specifically designed for analyzing categorical data.

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Answer:

8 s

Step-by-step explanation:

The time, t it takes the wave to move from its crest highest point to its lowest point is half of its period, T.

That is t = T/2

Given that t = 4 s, and making T subject of the formula, we have

T = 2t

Substituting t = 4 s into T, we have

T = 2t

T = 2 × 4 s

T = 8 s

So, its period is 8 s

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

B

C

E

Step-by-step explanation:

All of them are equivalent to the expression, they all have a decimal of 9.79..

The radical expressions that are equivalent to √96 are:

B. √32 × √3

C. √16 × √6

E. √96

Thus, given:

4√6

It can be expressed as: √(16 × 6) = √96.

The following radical expressions are equivalent to √96:

√32 × √3 = √(32 × 3) = √96

√16 × √6 = √(16 × 6) = √96

√96

Therefore, the radical expressions that are equivalent to √96 are:

B. √32 × √3

C. √16 × √6

E. √96

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The height  of the box that has the smallest possible surface area is  20m .

In the question ,

it is given that ,

the box has a square base ,

let the side of the box = "x" m

and let the height of the box = "y" m

volume of the box is given as 32000 m³,

So , x²y = 32000

y = 32000/x²

let the surface area of the box be "S" , that means

surface area(S) = area of base + total area of the 4 sides

= x²y + 4xy

Substituting the value of y = 32000/x² , we get

= x² + 4x(32000 / x²)

= x² + 128,000 / x,       x > 0

to minimize the area we differentiate it with respect to x,

we get ,

= 2x - 128,000 / x²

= (2x³ - 128,000) / x²

Substituting S' = 0 ,  we get , 2x³ = 128,000

x³ = 64,000

x = 40

and y = 32000/(40)² = 20 m .

Therefore , The height  of the box that has the smallest possible surface area is  20m .

The given question is incomplete , the complete question is

A box with a square base and open top must have a volume of 32,000 m³ . Find the height of the box that has the smallest possible surface area ?

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ML function will not work correctly or fail if implemented using statically allocated activation records. This is because each activation record would have the same memory address for lst[0], which would cause the value to be overwritten each time the function is called recursively. This would result in incorrect results being returned by the function.

Here's an example of a recursive function that would not work correctly if implemented using statically allocated activation records:

def sum_list(lst):

   if not lst:

       return 0

   else:

       return lst[0] + sum_list(lst[1:])

This function takes a list of numbers and recursively sums them up. The problem with implementing this function using statically allocated activation records is that the value of lst[0] would be overwritten when the recursive call is made, since it would be stored in the same location in memory as the previous call's lst[0].

To avoid this problem, dynamic memory allocation is needed so that each activation record can have its own copy of the list, rather than sharing the same memory address. This can be done using techniques like heap allocation or dynamic arrays.

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Answer:

5 feet long

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

it you calculate it from the example you get the answer

Answer:

approximately 4.23 cm

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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The probability of a core of the two odd number be 1/4.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The outcome of one die has no bearing on the outcome of the other since the two dice are independent.

In this instance, a complex event's probability is calculated by adding its component simple event probabilities.

Three odd and three even results occur from each roll of the dice. So, the probability of getting an odd number exists \($\frac{3}{6}=\frac{1}{2}$\)

The probability that this happens with both dice exists \($\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{4}$\)

It is relatively simple to list the "excellent" possibilities in this situation because there are a total of 36 outcomes (all numbers from 1 to 6 for one die and the same for the other die). The positive results are

(1, 1), (1, 3), (1, 5)

(3, 1), (3, 3), (3, 5)

(5, 1), (5, 3), (5, 5)

And in fact, 9 good outcomes over 36 total outcomes means

\($\frac{9}{36}=\frac{1}{4}$$\)

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Answer:

594 > -11n

Step-by-step explanation:

the answer is c lol

Answer:

The answer is C

Proof:

Step-by-step explanation: