What is the length (magnitude) of the vector (7, -2)?

A. 5
B. sqrt53
C. -22 sqrt5
D. sqrt2

Answer:

I think its x-2

Step-by-step explanation:

Sorry if its wrong! :)

Answer:

The hypotenuse is 10 cm long.

Step-by-step explanation:

We can find the hypotenuse by using the following formula where "c" is the length of the hypotenuse and "a" and "b" are the lengths of the legs.

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

Now we just substitute the values and get...

[tex]c = \sqrt{a^{2} + b^{2} }\\c = \sqrt{6^{2} + 8^{2} } \\c = \sqrt{36 + 64} \\c = \sqrt{100} \\c = 10[/tex]

Therefore the hypotenuse is 10 cm long.

Answer:

the answer of this question is -1

Answer:

i think it's c id

Step-by-step explanation:

The statement that is supported by the information in his graphs is C. It can be inferred that pizza and chicken nuggets should be the only meals offered in the cafeteria to please the most students each day.

This refers to the use of evidence to support a claim based on available data to show its validity.

Hence, we can see that from the information in the graphs, we can see that 50% of students prefer using trays and they represent half of the students from the students that prefer trays, they prefer to eat pizza and chicken nuggets and option C is the correct answer.

Read more about supporting details here:

https://brainly.com/question/884525

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Answer:

AB = 3π units

Step-by-step explanation:

The arc length is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{45}{360}[/tex]

     = 2π × 12 × [tex]\frac{1}{8}[/tex]

     = 24π × [tex]\frac{1}{8}[/tex]

     = 3π units

Answer:  [tex]X+Y=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex]

Step-by-step explanation:

Given:  [tex]X=\begin{pmatrix}3&-5\\ -4&2\end{pmatrix},\ \ Y=\begin{pmatrix}6&7\\ -4&-3\end{pmatrix}[/tex]

To calculate: [tex]X+Y[/tex]

Consider [tex]X+Y= \begin{pmatrix}3&-5\\ -4&2\end{pmatrix}+\begin{pmatrix}6&7\\ -4&-3\end{pmatrix}[/tex]

[tex]=\begin{pmatrix}3+6&\left(-5\right)+7\\ \left(-4\right)+\left(-4\right)&2+\left(-3\right)\end{pmatrix}\\\\=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex][[tex]\mathrm{Add\:the\:corresponding\: elements\: and\: simplify}[/tex]]

Hence, [tex]X+Y=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex]

Answer:

9

Step-by-step explanation:

The interquartile range of the given list is 11 oz.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

To find the interquartile range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3) of the data.

To do this, we first need to order the data set from smallest to largest:

8 oz, 8 oz, 12 oz, 16 oz, 16 oz, 18 oz, 20 oz, 20 oz

Next, we find the median of the data set. Since there are 8 data points, the median is the average of the two middle values:

Median = (16 oz + 16 oz)/2 = 16 oz

Now we can find Q1 and Q3. Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half of the data set.

Lower half: 8 oz, 8 oz, 12 oz, 16 oz

Upper half: 16 oz, 18 oz, 20 oz, 20 oz

Q1 = (8 oz + 8 oz)/2 = 8 oz

Q3 = (18 oz + 20 oz)/2 = 19 oz

Finally, we can calculate the IQR as the difference between Q3 and Q1:

IQR = Q3 - Q1 = 19 oz - 8 oz = 11 oz

Therefore,

The interquartile range of the given list is 11 oz.

Learn more about the interquartile range here:

https://brainly.com/question/29204101

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Answer:

4) 4

5) 6.5

6) 14

Step-by-step explanation:

Question 4 equation: [tex](\frac{12*5}{2} * 2) + (\frac{5x}{2} *2) = 80[/tex] ⇒ [tex]60 + 5x = 80[/tex] ⇒ [tex]5x = 20[/tex] ⇒ [tex]x=4[/tex].

Question 5 equation: [tex]16x=104[/tex] ⇒ [tex]x=6.5[/tex].

Question 6 equation: [tex]\frac{10x}{2} = 70[/tex] ⇒ [tex]5x=70[/tex] ⇒ [tex]x=14[/tex].

Answer:

{ x | -3 <= x < +1 }

Step-by-step explanation:

We note that the graph occupies from x=-3 to x=+1, while -3 is a value included (endpoint is solid), and +1 is excluded (endpoint hollow).

Thus the domain is { x | -3 <= x < +1 }

Answer:

The original price was $16

Step-by-step explanation:

$4= 25% of What price?

4= .25 x W

Divide both sides by .25

This leaves the equation as 16=W

Answer: 46738294738290748392074893021748930217849032784932017483920174839021784930271849032718904372819047389210748390217489302174893021784930217849302174839021784937894073289147384738473847387483748374384750

Step-by-step explanation:

Answer:

The correct option is - D.

Step-by-step explanation:

To find - Select the correct answer. The parent tangent function is transformed such that its period is halved. Which graph could represent the transformed function?

Solution -

We know that,

The parent tangent function is -

f(x) = tan(x)

Period of Parent function = [tex]\pi[/tex]

Now,

If Period is half,

Then

The function is transformed to

f(x) = tan(2x)

So,

The graph becomes

The correct option is - D.

Answer:

Hello, Im Mack. Hope your doing well :)

Correct Answer is (Option D)

Step-by-step explanation:

Answer:

12 meters

Step-by-step explanation:

We can solve this problem simply by dividing area by the known width value (because length x width = area):

96/8 = 12

Answer:

{-1, 10}

Step-by-step explanation:

Next time please share the entire set of instrutions.

x^2 - 9x - 15 = -5 should be rewritten in standard quadratic form:

x^2 - 9x - 10 = 0 = (x - 10)(x + 1) = 0.

Setting each factor equal to zero and then solving for x yields {-1, 10}

Answer:

{-1,10}

Step-by-step explanation:

[tex]x^2-9x-15=-5[/tex]   given

[tex]x^2-9x-10=0[/tex]   addition property of equality

[tex]x^2+(x-10x)-10=x^2+x-10x-10=0[/tex]   x-10x = -9x

[tex]x(x+1)-10(x+1)=0[/tex]   distributive property ( x( y + z ) = xy + xz

[tex](x-10)(x+1)=0[/tex]   distributive property (backwards)

[tex]x-10=0;x=10;x+1=0;x=-1[/tex]   at least one factor of 0 has to be 0

{-1,10}

Answer:

The Answer is B 5 is the height

Hey there!

-2<3x+1

= 3x + 1 < -2

SUBTRACT 1 to BOTH SIDES

3x + 1 - 1 < -2 + 1

CANCEL out: 1 - 1 because that gives you 0

KEEP: -2 + 1 because that helps you solve for x

-2 + 1 = -3

New EQUATION: 3x > -3

DIVIDE 3 to BOTH SIDES

3x/3 > -3/3

CANCEL out: 3/3 because that gives you 1

KEE3 -3/3 because that helps us compare for x

-3/3 = -1

Answer to the equation: x > -1

OVERALL Answer: x > -1; It is an OPENED circle shaded to the right starting at -1 (Option A.)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

y = 2x - 8

Step-by-step explanation:

y = 2x + b

-2 = 2(3) + b

-2 = 6 + b

-8 = b

Answer: 70$

Step-by-step explanation: Hope this helps <3

Answer:

The answer to this is B, $135.

Step-by-step explanation:

I took the test.

Answer:

$135 is the correct answer, I took the test and got it right

Step-by-step explanation:

Answer:

188.496 I believe

Step-by-step explanation:

could I get brainliest please? :)

1-Step-by-step explanation:

Answer:

17

Step-by-step explanation:

to find the median you arrange from least to greatest

12, 12, 14, 17, 18, 20, 22,

then you find the number in the middle which in this case is 17

Answer:

Step-by-step explanation:

using formula

=

=3[tex]\sqrt{3}[/tex]/2*6^2

=108[tex]\sqrt{3}[/tex]/2

=54[tex]\sqrt{3}[/tex]

=93.5

Answer: V= 750

Step-by-step explanation: The formula for the volume of a rectangular prism is given as: Volume of a rectangular prism = (length x width x height) cubic units. So try The length, width, and height of a rectangular prism are 15 cm, 10 cm, and 5 cm, respectively.

Answer:

 320 cu. yd.      

Step-by-step explanation:

V = Bh   where B is the area of the base (triangle) and h is the height of prism

B = bh/2 = 8(8)/2 = 64/2 = 32

height of prism = 10

V = 32(10) = 320 cu. yd.