Evaluate the expression when x=10, y=−2, and z=−5.

|xz−y|=

a. |u + v| = 4

b.  |(u + 2v) × v| = 16

Vectors are known as quantities having both magnitude and direction.

Given that;

a.  |u + v|

Substitute the values of the vectors

|u + v| = 1 + 3

|u + v| = 4

b.  |(u + 2v) × v|

Expand the bracket

|u. v + 2v² |

But u. v = -2

We then have;

-2 + 2(3)²

-2 + 2(9)

-2 + 18

16

Thus, the values are 4 and 16 respectively.

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Answer:

∠ EBF = 47°

Step-by-step explanation:

since BE bisects ∠ ABF , then

∠ ABE = ∠ EBF = 2(w + 11) = 2w + 22

∠ ABF = ∠ ABE + ∠ EBF ( substitute values )

8w - 6 = 2w + 22 + 2w + 22

8w - 6 = 4w + 44 ( subtract 4w from both sides )

4w - 6 = 44 ( add 6 to both sides )

4w = 50 ( divide both sides by 4 )

w = 12.5

Then

∠ EBF = 2w + 22 = 2(12.5) + 22 = 25 + 22 = 47°

Answer:
-8

Step-by-step explanation:

Given the following question:

-8 + 13 + (-13)
Use PEMDAS to solve this question:
13 + (-13) = 0
-8 + 0 = -8
= -8

Hope this helps.

Hello..!

[tex] \: \: \ \: \: \: \: \: \: \: \: \: \: \ \sf \red{ - 8 + 13 + ( - 13)}[/tex]

[tex] \blue{\underline{ \green{ \underline{\sf \green{Explantation: }}}}}[/tex]

First, to solve the problem we take into account the Law of Signs:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \green{\underline{ \blue{\underline{ \red{\sf Law \: of \: \: Signs:}}}}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \times + = - [/tex]

Once we have the law of signs, we will eliminate the parentheses to subtract, taking into account the law of signs

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \green{ - 8 + 13 - 13}[/tex]

Then we must subtract knowing that when there is a minus and a plus it is automatically minus

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \blue{- 5 - 13}[/tex]

Well, now we will subtract the only thing we have left, which in this case is 5 -13, which gives us -8

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: The \: \: result \: \: is \: \: from \\ \: \: \: \: \: \: \: \sf \green\longmapsto \pink{ - 8}[/tex]

¿Doubts? in the comments

Answer:

207  2 hundreds seven ones

Step-by-step explanation:

Answer: D

Step-by-step explanation:

16/30 x100= 53.3%

As per given condition of Joyce bought twice of she had at first ,number of stickers bought by Joyce is equal to 32.

As given in the question,

Let x represents the number of Michelle stickers

and y represents the number of Joyce stickers

As per given condition,

Michelle and Joyce had an equal number of stickers

x =y __(1)

Joyce bought twice she had at first and had 4 times as many stickers as Michelle

2y = 4(x-8) __(2)

From (1) and (2) ,

2y = 4 ( y-8)

⇒ 2y = 4y -32

⇒4y -2y = 32

⇒ 2y = 32

Therefore, as per given condition of Joyce bought twice of she had at first ,number of stickers bought by Joyce is equal to 32.

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Answer:

As per given condition of Joyce bought twice of she had at first ,number of stickers bought by Joyce is equal to 32.

Step-by-step explanation:

The 73rd term of  the arithmetic sequence 18,30,42 = 882.

An arithmetic sequence seems to be a series of numbers that are ordered and share a common difference amongst each succeeding term. There are arithmetic sequences 3, 9, 15, 21, and  27, for example, the common difference is 6. An arithmetic progression is another name for an arithmetic sequence.

The sequence is not arithmetic if the difference between subsequent terms is not constant. Subtracting two consecutive elements from the sequence yields a common difference.

Let us now look for the explicit rule for with this arithmetic sequence. We have the following:

aₙ = a₁ + (n - 1) * d

  = 18 + 12 * (n - 1)

  = 12n + 6.

The 73rd term is 12 (73) + 6 = 882.

The 73rd term of  the arithmetic sequence 18,30,42 = 882.

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Answer: f < 9

Step-by-step explanation:

first, cross multiply 2 and 2:

f - 5 < 4

f < 9

Answer:

f < 9

Step-by-step explanation:

=> (f-5)/2 < 2

multiplying both sides by 2

=> 2(f-5)/2 < 2×2

=> f-5 < 4

adding 5 to both sides

=> f-5+5 < 4+5

=> f < 9

Answer:

Step-by-step explanation:

Answer:

147 different choices.

Step-by-step explanation:

(7)(3)(7) = 147

Hope this helps

∠DFG and ∠JKL are complementary angles

Measure of each angle

Given :

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,

and m∠JKL = x − 1

When two angles are complementary then the sum of angles is 90 degrees

∠DFG and ∠JKL are complementary angles.

So,

Now replace the expressions and solve for x

Now replace x with 43 and find out each angle

Answer:

1: 7.2         2: 2012          3: 2014 and 2015        4: 2011       5: 6.6       6:1

Step-by-step explanation:

I don't have time to explain.

It just is.

The quadrilateral A'B'C'D' is the result of reflecting and translating the quadrilateral ABCD.

In this problem we find a representation of a quadrilateral and its image on a Cartesian plane. That image is the result of the following rigid transformations, that is, transformations applied on geometric loci such that Euclidean distance is conserved at every point of the locus.  

After a careful inspection, we find that the following two rigid transformations were done:

Now let is prove this steps:

Given: A(x, y) = (- 5, - 7), B(x, y) = (- 5, - 2), C(x, y) = (- 3, - 4), D(x, y) = (- 3, - 7)

Reflection:

A''(x, y) = (- 5, - 7) + (0, 14)

A''(x, y) = (- 5, 7)

B''(x, y) = (- 5, - 2) + (0, 4)

B''(x, y) = (- 5, 2)

C''(x, y) = (- 3, - 4) + (0, 8)

C''(x, y) = (- 3, 4)

D''(x, y) = (- 3, - 7) + (0, 14)

D''(x, y) = (- 3, 7)

Translation

A'(x, y) = (- 5, 7) + (7, 0)

A'(x, y) = (2, 7)

B'(x, y) = (- 5, 2) + (7, 0)

B'(x, y) = (2, 2)

C'(x, y) = (- 3, 4) + (7, 0)

C'(x, y) = (4, 4)

D'(x, y) = (- 3, 7) + (7, 0)

D'(x, y) = (4, 7)

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The length of the arc is calculated for the given semicircle as 15.7 units.

For, the given question.

The radius of the semicircle is 5 units.

The length of the arc of semicircle is equal to the perimeter of the semicircle.

The formula for perimeter;

P = πr

where, r is the radius and π = 3.14.

Put the values in the formula.

Perimeter = 3.14×5

Perimeter = 15.7 units.

Therefore, the length of the arc of the semicircle is 15.7 units.

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This statement in the article is wrong because $2.69 is not the mean price ($2.81)

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

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Answer:

  16∛2

Step-by-step explanation:

It looks like you want to simplify ...

  6∛16 +∛128

Radicals are simplified by removing any powers corresponding to the index of the radical. Here, we're taking cube roots, so the expression is simplified by removing cubes from under the radical.

  [tex]6\sqrt[3]{16}+\sqrt[3]{128}=6\sqrt[3]{2^3\cdot2}+\sqrt[3]{4^3\cdot2}\\\\=6\cdot2\sqrt[3]{2}+4\sqrt[3]{2}=(12+4)\sqrt[3]{2}\\\\=\boxed{16\sqrt[3]{2}}[/tex]

The numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;

Bowling alley A: 5 or more games.

Bowling alley A;

Their charges per game is $4 per game

Charges to rent shoes is $3.75

If number of games is x, then we have;

Total Cost = 3.75 + 4x

Bowling alley B;

Their charges per game is $4.50 per game

Charges to rent shoes is $2.50

If number of games is x, then we have;

Total Cost = 2.5 + 4.5x

Now, for the total cost, including a pair of rental shoes, less at bowling alley A, it means that;

2.5 + 4.5x > 3.75 + 4x

Rearrange to get like terms gives;

4.5x - 4x > 3.75 - 2.5

0.4x > 1.25

x > 1.25/0.4

x > 3.125

Thus, the numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;

Bowling alley A: 5 or more games.

B)  Bowling alley A increases the cost per game by $0.50. Thus, the inequality is now;

3.75 + 4.5x > 2.5 + 4.5x

This means that the total cost will now always be greater at Bowling alley A

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Answer:

Step-by-step explanation:

-4p+-2= -6p
-6p+2= -4p
-4p+3= -1p

= -1p

Answer:

10 and 28

Step-by-step explanation:

let x be one number then the other is x + 18 ( 18 more than the other ), then

x + x + 18 = 38

2x + 18 = 38 ( subtract 18 from both sides )

2x = 20 ( divide both sides by 2 )

x = 10

and x + 18 = 10 + 18 = 28

the 2 numbers which divide 38 into the 2 parts are 10 and 18

The plane will be at an altitude of 21,000 feet, 6 minutes after lift off.

For any equation, x = y + a, if we are given the value of any one of the variables, that is either x or y, we can find the value of the other.

Here, we are given an equation

a = 3400t + 600

where a = altitude of the plane in feet

and t = time (in minutes) passed after the plane's lift off

If the altitude of the plane is 21,000 feet

⇒ a = 21,000

Substituting this in the equation, we get

21,000 = 3400t + 600

21,000 - 600 = 3400t

20,400 = 3400t

3400t = 20,400

t = 20,400/ 3,400

t = 204/ 34

t = 6

Thus, the plane will be at an altitude of 21,000 feet, 6 minutes after lift off.

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The cost to waterproof a canvas truck cover that is 15’ x 24 will be D. $180.

It should be noted that from the information, it costs $0.50 per square yard to waterproof canvas.

Therefore, the cost to waterproof a canvas truck cover that is 15’ x 24 will be:

= 15 × 24 × $0.50

= $180.00

In conclusion, the correct option is D.

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[tex]\huge\mathcal {♨Answer♥}[/tex]

Let's get the width as [tex]\large\texttt {x}[/tex]

So,

The length of the rectangle is [tex]\large\texttt {2x +2}[/tex]

The perimeter of the rectangle is [tex]\large\texttt {82 inches}[/tex]

Let's get the answer for width,

☆ 2 (2x + 2) + 2x = 82

4x + 4 + 2x = 82

6x + 4 = 82 - 4

6x ÷ 6 = 78 ÷ 6

x = 13

Let's get the answer for length,

☆ 2x + 2

2 × 13 + 2

28

Then,

[tex]\large\texttt {↪The width is 13 inches}[/tex]

[tex]\large\texttt {↪The length is 28 inches}[/tex]

☆...hope this helps...☆

_♡_mashi_♡_

Answer:

Answer:

No

Step-by-step explanation:

The question is asking for difference which is another term for subtraction.In that regard Amy is correct, however the question asks for the difference between 3 and -5 which means she'd have to subtract 3 from -5 not the other way around.

======================================================

Work Shown:

First replace every copy of n with 2

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_2 = 3*(a_{2-1}) - 6\\\\a_2 = 3*(a_{1}) - 6\\\\a_2 = 3*(7) - 6\\\\a_2 = 21 - 6\\\\a_2 = 15\\\\[/tex]

Notice how the second term [tex]a_2[/tex] relies on the first term [tex]a_1[/tex]

Then repeat for n = 3

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_3 = 3*(a_{3-1}) - 6\\\\a_3 = 3*(a_{2}) - 6\\\\a_3 = 3*(15) - 6\\\\a_3 = 45 - 6\\\\a_3 = 39\\\\[/tex]

Same goes with n = 4

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_4 = 3*(a_{4-1}) - 6\\\\a_4 = 3*(a_{3}) - 6\\\\a_4 = 3*(39) - 6\\\\a_4 = 117 - 6\\\\a_4 = 111\\\\[/tex]

Finally plug in n = 5

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_5 = 3*(a_{5-1}) - 6\\\\a_5 = 3*(a_{4}) - 6\\\\a_5 = 3*(111) - 6\\\\a_5 = 333 - 6\\\\a_5 = 327\\\\[/tex]

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

We have this summary:

[tex]a_1 = 7\\\\a_2 = 15\\\\a_3 = 39\\\\a_4 = 111\\\\a_5 = 327\\\\[/tex]

The first five terms are:  7, 15, 39, 111, 327

Answer:

The value of s is 15

Step-by-step explanation:

so first you count all the sides and add them up

s+6+s+6+s+2s+s=102

6s+12=102

6s=90

s=15!!

After that you plug that into to the equations for the answer.

Hope this helps!

Based on the given parameters, the numerical length of PT is 9 units

The given parameters are:

P is a point on ST such that P is between S and T.

SP = x + 3,

PT = 2x - 1

ST = 17

The statement "P is a point on ST such that P is between S and T" implies that

ST = SP + PT

Substitute the known values in the above equation

17 = x + 3 + 2x - 1

Evaluate the like terms

17 = 3x + 2

Add 2 to both sides of the equation

3x = 15

Divide both sides of the equation by 3

So, we have

x = 5

Substitute x = 5 in PT = 2x - 1

So, we have

PT = 2 x 5 - 1

Evaluate

PT = 9

Hence, the numerical length of PT is 9 units

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