Evaluate -32 + (2-6)(10).

Answer:

(c) -4a + 22b

Explanation:

12a + 26b - 4b - 16a

= (12a - 16a) + (26b - 4b)

= -4a + 22b

Answer:

c, minus 44 a plus 22 B

Step-by-step explanation:

12a + 26b -4b – 16a

=12 a - 16 a + 26b - 4b ( like terms )

= -4a+22b

Answer:

70 degrees

Step-by-step explanation:

The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:

x+55+55=180

x+110=180

x=180-110=70

Hope this helps!

The compound inequality which represents the range of possible values of x for the given triangle is  8<x<34.

What is triangle?

A triangle is a specific type of polygon which consists of three sides, three angles and three vertices. There are different types of triangle based on different types of base and angles.

In triangle ABC, the side lengths are AB = 13, AC=21, and BC = x.

Here we use the theorem of triangle that describes , the sum of the length of any two sides of a triangle is always greater than the third side.

So at first considering BC as longer side we get,

AB+AC>BC

putting the values we get,

13+21> x

34>x

34>x

Again considering AC as the longer side and again applying the same argument of triangle we get,

AB+BC>AC

13+x>21

x>21-13

x>8

Hence, the compound inequality which represents the range of possible values of x for the given triangle is  8<x<34.

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Answer:

wouldn't it be 3lb and 7oz

The velocity of the object is that has fallen through a height of 23 ft is 38.37 ft/s.

option B.

The velocity of an object can also be defined as the rate of change in the object's position corresponding to a frame of reference and time.

Mathematically, the formula for estimating the velocity of an object that has fallen through a height of h, is given as;

V = √64h

where;

When the height fallen by the object = 23 ft, the velocity of the object is calculated as;

V = √64h

V = √ (64 x 23 )

V = 38.37 ft/s

Thus, the velocity of the object is that has fallen through a height of 23 ft is 38.37 ft/s.

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Sure, I can help you with that.

```

Given:

y = 10 cm

θ = 32°

To find:

x rounded to 1 DP

Solution:

tan θ = x/y

x = y tan θ

x = 10 tan 32°

x = 10 * 0.624

x = 6.24 cm

x rounded to 1 DP = 6 cm

```

Therefore, x rounded to 1 DP is 6 cm.Answer:

Step-by-step explanation:

Answer:

H =

\(x = \frac{7 + - i \sqrt{71} }{10} \)

I =

\(x = \frac{ - 1 + - i \sqrt{35} }{6} \)

Quadratic Formula

x = -b +- sqrt{b^2 - 4ac}/(2a)

For question H, subtract 4 from 10 and equate to 0. We now let a = 5, b = -7 and c = 6.

Plug into the formula and do the math..

For question I, subtract 7 from 13 and equate to 0. We know let a = 6, b = 2 and c = 6.

Plug into the formula and do the math.

The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

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Pairs of matrices in which AB = BA are: Option 3) A = [1 0 -1 2] B = [5 0 3 2] Option 4) A = [1 0 -2 1] B = [3 0 6 -3]

In the given options, only the matrices in options 3 and 4 satisfy the condition AB = BA. For option 1, matrices A and B do not commute, as AB ≠ BA. Similarly, for option 2, the matrices A and B do not commute either.

For matrices to commute, the order of multiplication must not matter. In options 3 and 4, both matrices have the same dimensions and the products AB and BA yield the same result.

This indicates that the matrices in options 3 and 4 can be multiplied in either order, resulting in the same outcome. Therefore, options 3 and 4 are the correct pairs of matrices that satisfy the condition AB = BA.

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Answer:

Step-by-step explanation:

15) 1

16) 4

17) 21.95

We will investigate how to use ratios to determine the actual distance between cities as per defined scale.

We are given a scale conversion ( ratio ) at which distances are scaled down:

We will use the given scale ratio to determine the actual distance between two citites. The scale distance between Hawthorne and Doyelstown can be read.

Now utilize the scale conversion ratio to determine the actual distance:

Therefore, the distance between Hawthorne and Doylestown is:

Answer:

3/7 divided by 3/0

\(math\)

Step-by-step explanation:

Answer:

Firstly, we know 3^3 ÷ 3^-4 =2187. So, we got to check the value for each expression given below.

3x 3^6 = 2187

3^7 ÷ 3^0 = 2187

3^-3 ÷ 3^4 = 1/2187 (odd one out)

3^3 x 3^4 = 2187

Answer is 3^-3 ÷ 3^4

Hope this helps!

Answer:

I'm pretty sure its 2.9 hours

Step-by-step explanation:

hope this helps

The solution to the recurrence is `T(n) = Θ(lognloglogn)`.

To solve the recurrence T(n)=2T(n​)+(loglogn)2, we use a substitution method.

Making change of variable:

To make the change of variable, we first define `n = 2^m` where `m` is a positive integer.

We substitute the equation as follows: T(2^m) = 2T(2^(m-1)) + log^2(m).

We then define the following: `S(m) = T(2^m)`.

Then, we substitute the equation as follows: `S(m) = 2S(m-1) + log^2(m)`.

Using the master theorem:

To solve `S(m) = 2S(m-1) + log^2(m)`, we use the master theorem, which gives: `S(m) = Θ(mlogm)`

Hence, we have: `T(n) = S(logn) = Θ(lognloglogn)`

Therefore, the solution to the recurrence is `T(n) = Θ(lognloglogn)`.

A substitution method is a technique used to solve recurrences.

It involves substituting equations with other expressions to solve the recurrence.

In this case, we made a change of variable to make it easier to solve the recurrence.

After defining the new variable, we substituted the equation and applied the master theorem to find the solution.

The solution was then expressed in big theta notation, which is a mathematical notation that describes the behavior of a function.

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Answer:

The probability that a customer selected at random has an Apple device or own a smartphone or both is 0.94

Step-by-step explanation:

The percentage of costumers that have a device made by Apple = 60%

The percentage of customers that own a smartphone = 85%

The percentage of customers that use Venmo = 80%

The percentage out of the smartphone users that use Venmo = 80%

The probability both independent events A and B occurring = P(A) × P(B)

The exclusive probability of A or B occurring P(A XOR B) = P(A) + P(B) - 2 × P(A ∩ B)

Therefore, the probability of A or B or both occurring is given as follows;

P(A or B or Both) = P(A) + P(B) - 2 × P(A ∩ B) + P(A) × P(B)

Where A represent the percentage of costumers that have a device made by Apple and let B represent the percentage of users that have a smartphone, we have;

P(A or B or Both) = 0.6 + 0.85 - 2×0.6×0.85 + 0.6 × 0.85 = 0.94

Therefore, the probability that a customer selected at random has an Apple device or own a smartphone (or both), P(A or B or Both) = 0.94

The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.

Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0

Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x

Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).

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Step-by-step explanation:

\(2 + 8(x + 2) = 52 \)

\(2 + 8x + 16 = 52\)

\(8x + 18 = 52\)

\(8x = 52 - 18\)

\(8x = 32\)

\(x = \frac{34}{8} \)

\(x = 4.25\)

Hope it helps u

The value of z is given as follows:

z = 12.

First we apply the Pythagorean Theorem to obtain the altitude of the triangle, as follows:

\(x^2 + 6^2 = (6\sqrt{3})^2\)

\(x = \sqrt{(6\sqrt{3})^2 - 6^2}\)

x = 8.49.

Then the value of z is obtained applying the geometric mean theorem, as follows:

8.49² = 6z

z = 8.49²/6

z = 12.

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The zeros of the polynomial P(x) = x³ + 7x² - x - 7  is  1 , - 1 , - 7 .

In algebraic expressions, exponents may have rational values. A polynomial, on the other hand, is an algebraic assertion with a whole number exponent on any variable. The places where a polynomial turns 0 are referred to as its zeros.

P(x) = x³ + 7x² - x - 7

Now we have to find one zero of given polynomial.

By hit and trial, we get

P(-7) = (-7)³ + 7 (-7)² - (-7) - 7

        = 0

Hence we get one zero = -7

So, -7 is the roots of the equation.

Now, by factorisation :

   P(x) = x³ + 7x² - x - 7

           = x² ( x+7 ) - 1 ( x+3 )

            = (x² - 1) ( x+7 )

            = ( x-1 )( x+1 )( x+7)

Hence the zeros of the polynomial is 1 , - 1 , - 7.

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All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)

P(x) = x3 + 7x2 − x − 7

Answer:

452.16

Step-by-step explanation:

i got it right on test

The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

We have to given that;

Height of cylinder = 6 cm

And, Diameter of cylinder = 12 cm

Hence, We get;

⇒ Radius of cylinder = 12 / 2 = 6 cm

We know that;

The formula for the total surface area of a given cylinder whose radius is r and height is h is,

TSA = 2πr (h + r)

Hence, We get;

TSA = 2πr (h + r)

TSA = 2 × 3.14 × 6 (6 + 6)

TSA = 37.68 × 12

TSA = 452.16 cm²

Thus, The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

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The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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If the family’s monthly income is $3,286, Wren family budgets for entertainment each month is $328.60.

Income, which is typically stated in the monetary terms, is the spending and saving opportunity acquired by an entity within a given duration. Conceptually, income is hard to define, and different fields may have the distinct definitions. For instance, a person's income may differ from their income as defined by law and in an economic sense.

Haig-Simons income, which defines income as Consumption + Change in Net Worth and is commonly applied in economics, is a very significant definition of income.

Income is a total that includes any wages, salaries, profits, interest payments, rent, or other forms of earnings received in a calendar year for families and individuals in the United States, as defined by tax law. Gross income less taxes and other deductions (such as required pension payments) is a common definition of discretionary income and is frequently used as a benchmark to assess the wellbeing of taxpayers.

The idea may include the accumulation of both monetary and non-monetary consumption capacity, with the former (monetary) serving as a stand-in for total income in the field of public economics.

Gross income for a business is the total revenue less the cost of items sold. Costs are subtracted from revenue by cost of goods sold, expenses, depreciation, interest, and taxes to arrive at net income.

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Answer:12:10

Step-by-step explanation:

Answer: 12 to 10

Step-by-step explanation: if you have 12 boys and 8 girls in a class and 2 more girls join the class, you would have a ratio of 12 boys to 10 girls.

Answer:

8.. the release date of Toilet Bound Hanako Kun season 2 will be spring 2021

Step-by-step explanation:

WE STILL DON'T KNOW... BUT READ THE MANGA IS FASTER THAN WAITING FOR SEASON 2

Answer:

B

Step-by-step explanation:

|15-12|/4 = 3/4

|(-21+9)/8| = |-12/8| = 12/8 = 3/2 (Simply)

3/4 - 3/2 = -3/4

So the answer is B.

Solving the question asked, we can say: If you win tonight, your odds of winning the next game are \($58.33\%$\). After that, if you lose, you have a \($38.88 \%$\) chance of winning the game.

Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the disease that a particular event will occur. Another way to express probability is as a percentage from 0% to 100% or 0 to 1. Proportion of occurrences in the complete set of equally likely possibilities leading to a particular occurrence compared to the total number of outcomes.

\($$\begin{aligned}& (2 / 3+1 / 2) / 2=X \\& 1,666 / 2=X \\& 0.58333=X \\& ((2 / 3+1 / 2 / 2) x 2 / 3=X \\& 0.58333 x 0.666=X .3888=X\end{aligned}$$\)

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Answer:

14 and 1/4

Step-by-step explanation:

So the equation would be-

6 x 2 and 3/8

I would break this up, so

6 x 2 = 12

6 x 3/8 = 18/8

Simplify

18/8 = 9/4 = 2 and 1/4

12 + 2 and 1/4 = 14 and 1/4

Answer:

14 and 1/4

Step-by-step explanation: