For parallelogram ABCD, find the value of x

Answer:

(-1(3/6))+(-3/5)=(-1(3/6))-(3/5)=(-1.5)-(0.60)=-2.1

-2.1

Answer:

irdk

Step-by-step explanation:

and irdc

Answer:

  19 or 26

Step-by-step explanation:

You want the value of 3n² -8n -9, given that n(n -3) = 10.

We recognize that 10 = 5·2 and that these factors differ by 3. This means n(n -3) = 10 is equivalent to saying n ∈ {-2, 5}.

The value of 3n² -8n -9 will be one of ...

  (3n -8)n -9 = (3(-2) -8)(-2) -9 = (-14)(-2) -9 = 19 . . . . for n = -2

or

  (3(5) -8)(5) -9 = (7)(5) -9 = 26 . . . . . . . for n = 5

The expression 3n² -8n -9 will be either 19 or 26.

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Answer:

To solve the equation:

2/3x - 1/5x = x - 1

First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:

(10/15)x - (3/15)x = 15/15 x - 1

Simplifying the left side:

(7/15)x = 15/15 x - 1

Multiplying both sides by 15:

7x = 15x - 15

Subtracting 7x from both sides:

-8x = -15

Dividing both sides by -8:

x = 15/8 or 1.875

Therefore, the solution to the equation is x = 1.875.

Answer:

x=80

Step-by-step explanation:

This is really simple especially since you have a right triangle, you can easily determine x using trigonometry.

The cosine of an angle in a right triangle is defined by it's adjacent side divided by the hypotenuse.

\( \cos(50) = \frac{51}{x} \)

The angle in question is 50, the hypotenuse is the side facing the 90° angle and the adjacent side is the one next to it.

By cross multiplication i can rewrite this as:

\(x = \frac{51}{ \cos(50) } \)

\(x = \frac{51}{0.64278} \)

\(x = 79.34\)

Round to the nearest ten

\(x = 80\)

9514 1404 393

Answer:

  3

Step-by-step explanation:

The expression can be simplified and then evaluated at h=0.

  ((1 +h)^3 -1)/h = (1 +3h +3h^2 +h^3 -1)/h

  = (3h +3h^2 +h^3)/h

  = 3 +3h +h^2

This evaluates to 3 when h=0.

The limit of interest is 3.

_____

Strictly speaking, the simplified form is only valid when h ≠ 0. However, that form is useful for finding the limit.

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Along with the price of the meal, there is a separate fee for sales tax. The  proportions of tax payment for a dinner that costs $15.00 at a 7% rate is as follows: $1.05.

In light of this issue, the sales tax is calculated using proportions. As the sales tax is calculated by multiplying the cost of the meal by the decimal equivalent of the tax percentage, a proportion is applied.

The decimal equivalent for a percentage of 7% is given as follows:

7/100 = 0.07.

Hence the amount of tax paid is given as follows:

0.07 x 15 = $1.05.

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Answer:

$17,184.80.

Step-by-step explanation:

Jessica's loan for home renovations is for $17,100 for 54 days. The bank charges simple interest at an annual rate of 9.65%. To calculate the interest charged, first, we need to find the daily interest rate, which is 9.65% divided by 365, resulting in 0.0264%. The total interest charged on the loan is $84.80, which is calculated by multiplying the daily interest rate by the loan amount and the number of days (0.000264 x $17,100 x 54). Therefore, Jessica's total amount owed to the bank at the end of the loan term is $17,184.80.

Answer:

First, we rearrange the equation to isolate the y-term on one side:

dy/dx + ytanx = secx

Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1

Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1

Integrating both sides with respect to x, we get:  y |secx| = x + C

where C is the constant of integration. Solving for y, we have:

y = (x + C)/|secx|

Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer:

-----------------------

Substitute 12 and 24 for n into formula and calculate.

So, the 12th term is 63 and 24th term is 123.

9514 1404 393

Answer:

  46 24/25 in

Step-by-step explanation:

Opposite pairs of sides are the same length, so the total length needed is ...

  2(8 4/5 +14 17/25) = 2(8 20/25 +14 17/25) = 2(22 37/25) = 2(23 12/25)

  = 46 24/25 . . . inches

Answer:

1: 4/16 or simplified to 1/4

2: 12/16 or simplified to 3/4

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Answer:

1126.4

Step-by-step explanation:

5.97 x 1024 =6113.28

4.87 x 1024=  4986.88

6113.28-4986.88 =1126.4

Answer:

The probability is 0.857

Step-by-step explanation:

We know that:

There is a total of 440 cars

There are 63 cars with defective turn signals

There are 39 with defective tires.

Now we want to find the probability that a randomly selected car does not have defective turn signals.

If all the cars have the same probability of being selected, this probability will be equal to the quotient between the number of cars that do not have defective turn signals and the total number of cars.

We know that the total number of cars is 440

And 63 of these have defective turn signals, then the rest don't.

440 - 63 = 377 cars do not have defective turn signals.

Then the probability is:

P = 377/440 = 0.857

The height of the goal post is 40.4 ft

The height of the goal post is calculated using trigonometry

Using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

tan 74 = Opposite / Adjacent

tan 74 = x / 10

x = tan 74  * 10

x = 34.87

The height from ground

= 34.87 + 5.5

= 40.37

= 40.4 ft

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Answer: 40.4ft

Step-by-step explanation:

We have an equation of a circle:

From the equation we can identify the center of the circle at coordinates (-1, -3) and a radius of 4 (which is the square root of 16).

Then, from the options, the only graph that match the center at (-1, -3) is the first option:

About 80 necklaces have more than 28 beads. Then the correct option is C.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.

P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)

P(x > 28) = P(x - 24 / 4 > 1)

P(x > 28) = 1 - ∅1

P(x > 28) = 1 - 0.8413

P(x > 28) = 0.1587

Multiply both sides by 500, then we have

500 P(x > 28) = 0.1587 × 500

500 P(x > 28) = 79.35

500 P(x > 28) ≈ 80

About 80 necklaces have more than 28 beads. Then the correct option is C.

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The missing options are given below.

A. About 24 devices have more than 28 beads.

B. About 48 necklaces have more than 28 beads.

C. About 80 necklaces have more than 28 beads.

D. About 96 necklaces have more than 28 beads.

Answer:

B. 14,525

Step-by-step explanation:

If a tablet costs $35 and the school is purchasing tablets for every student, then the total cost to buy tablets for the whole school would be:

$35 x 415 = $14,525

Therefore, the answer is B. $14,525.

The given conic section is a hyperbola since this type of conic section can be represented by the equation:

And the foci of a hyperbola with center at (h, k) are given by:

(h + c, k) and (h - c, k),

where

c = √(a² + b²)

So, for this hyperbola, we have:

h = -2

k = 3

a² = 16

b² = 9

Then, c is given by:

c = √(16+9) = √25 = 5

And the foci are:

(h + c, k) = (-2 + 5, 3) = (3, 3)

and

(h - c, k) = (-2 - 5, 3) = (-7, 3)

Thus, we can write the coordinates of both the foci as:

(-2 ± 5, 3)

Therefore, option C is correct.

Based on the data given, the box plot that represents the data is B.

The minimum value is the smallest value in a given set of data. In other words, it is the lowest number in the set. The minimum value is an important measure of central tendency in statistics and is often used in data analysis to understand the range and distribution of the data.

Based on the data given, the box plot that represents the data is B.

This is because the minimum value of the data set is 22, which is shown by the bottom whisker of the box plot. The first quartile is 23, the median is 25, and the third quartile is 27, which are shown by the box. The maximum value is 28, which is shown by the top whisker. The outlier is not shown in this box plot, but it would be indicated by a small circle or asterisk outside of the whiskers.

Box plot A does not include the maximum value of 28, while box plot C does not include the minimum value of 22. Box plot D shows the minimum and maximum values correctly, but the quartile values and whiskers are incorrect. Box plot Y does not have any boxes or whiskers, and box plot X and Z do not show all of the values correctly.

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Answer:

\(6\sqrt{3}\)

Step-by-step explanation:

because of the 90-60-30 theorem

which \(6*\sqrt{3}=6\sqrt{3}\)

same side interior angles theorem.

hope that helps^^

Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

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Answer:

\(R\) isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.

Step-by-step explanation:

Let \(S\) denote a set of elements. \(S \times S\) would denote the set of all ordered pairs of elements of \(S\!\).

For example, with \(S = \lbrace 1,\, 2,\, 3 \rbrace\), \((3,\, 2)\) and \((2,\, 3)\) are both members of \(S \times S\). However, \((3,\, 2) \ne (2,\, 3)\) because the pairs are ordered.

A relation \(R\) on \(S\!\) is a subset of \(S \times S\). For any two elements\(a,\, b \in S\), \(a \sim b\) if and only if the ordered pair \((a,\, b)\) is in \(R\!\).

A relation \(R\) on set \(S\) is an equivalence relation if it satisfies the following:

The relation \(R\) (on \(S = \lbrace 1,\, 2,\, 3 \rbrace\)) in this question is indeed reflexive. \((1,\, 1)\), \((2,\, 2)\), and \((3,\, 3)\) (one pair for each element of \(S\)) are all elements of \(R\!\).

\(R\) isn't symmetric. \((2,\, 3) \in R\) but \((3,\, 2) \not \in R\) (the pairs in \(\! R\) are all ordered.) In other words, \(3\) isn't equivalent to \(2\) under \(R\!\) even though \(2 \sim 3\).

Neither is \(R\) transitive. \((3,\, 1) \in R\) and \((1,\, 2) \in R\). However, \((3,\, 2) \not \in R\). In other words, under relation \(R\!\), \(3 \sim 1\) and \(1 \sim 2\) does not imply \(3 \sim 2\).