find the dot product of the pair of vectors and determine whether they are normal. (4,-3) and (-3,-4)​

Step-by-step explanation:

x - 2y = -3,____1 , 8x - 6y = 16____ 2

x - 2y = -3

x = 2y -3 ____ equation 3

eqn 3 in 2

2=> 8x - 6y = 16

8(2y-3) - 6y = 16

16y - 24 - 6y = 16

10y = 16 + 24

10y = 40

y = 40 / 10

y = 4

y=4 in eqn 3

3=> x = 2y - 3

x = 2(4) - 3

x = 8 - 3

x = 5

x = 5 , y = 4

-2y-2y = 20 , x - 7y = 14___ 1

-2y-2y = 20

-4y = 20

y = 20/ -4

y = -5

y = -5 in eqn 1

1=> x - 7y = 14

x - 7(-5) = 14

x - (-35) = 14

x + 35 = 14

x = 14 - 35

x = -21

x = -21 , y = -5

Answer:

the answer to this question should be 14.85

Answer:

Let DC be the tower and BC be the building. Then,

∠CAB=45

o

,∠DAB=60

o

,BC=20 m

Let height of the tower, DC=h m.

In right △ABC,

tan45 o = AB/BC

1=20/AB

AB=20m

In right∆ABD,

tan 60°=BD/AB

√3=h+20/20

h=20(√3-1)m

√a × √b = √ab

only if at atleast one among a,b is positive

here both a,b is non negative so not possible

Step-by-step explanation:

Remember when expanding radicals,

[tex] \sqrt{ab} = \sqrt{a} \times \sqrt{b} [/tex]

When expanding radicals into two radicals, we don't let our radicand have two negative answers.

[tex]i = \sqrt{ - 1} [/tex]

[tex] {i}^{2} = - 1[/tex]

We don't do this

[tex] (\sqrt{ - 1} ) {}^{2} = \sqrt{ - 1 \times - 1} [/tex]

[tex] - 1 = \sqrt{1} [/tex]

[tex] - 1 = 1[/tex]

Answer:

See below ~

Step-by-step explanation:

Graph 1 : y = -3x + 3

Graph 2 : y = 6x + 6

Graph 3 : y = 6x + 9

Graph 4 : y = -7x + 1

Recall slope intercept form of a line

where b is y intercept

Whatever m be b is constant for line .

So we can find the equations through y intercepts

#1

The most probable according to our options is 3

So equation is

#2

Y intercept just over 5 .It must be 6

#3

y intercept around 10

.Most probable according to options is 9

#4

Just above the origin the y intercept is present.

Using trigonometric ratio, the length of the ladder that reached the window is 20.03 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let l represent the length of the ladder, using trigonometric ratio:

sin(64) = 18/l

l = 20.03 feet

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Answer:

{27.5, 29, 34}.

Step-by-step explanation:

In order they are

24 27 28 28 29 31 32 36 38

The Median = middle value = 29.

Lower quartile =  mean of 27 and 28 =  27.5.

Upper quartile =  mean of 32 and 36 = 34.

Answer:

{27.5, 29, 34}

Step-by-step explanation:

Arrange in increasing order :

Lower Quartile :

Median :

Upper Quartile :

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that is lands tails up at least nine times is given by:

[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098[/tex]

[tex]P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001[/tex]

Hence:

[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108[/tex]

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

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Answer:

8.318

Step-by-step explanation:

writing a number in three decimal places means writing the number in a way that there will be three digits in the number after the decimal point.

to three decimal places= 8.318

Answer:

5

Step-by-step explanation:

It's in the middle of all the numbers

If you do need a more in-depth explanation just comment under here and I'd be happy to show you how I did it :)

well, the cheap answer is, simply multiply the top and bottom of one fraction by the other fractions denominator, Check the picture below.

Answer:

Find the radius.

Step-by-step explanation:

The task is to solve for area of a circle, and you are given the diameter.

The formula for area is :

Area of a circle = π × (radius)²

In this formula, there is only one input value, and that is the radius.

To find the radius, you must know the relation :

Radius x 2 = Diameter

Hence, the radius must be computed first and foremost.

Answer:

option 3, [tex]972\pi in^{3}[/tex]

Step-by-step explanation:

The formula to find the volume of a sphere is [tex]\frac{4}{3} \pi r^{3}[/tex]

where r os the radius

given: diameter = 18in

radius = diameter / 2

radius = 18 / 2

r = 9in

Plug in radius:

[tex]\frac{4}{3} \pi (9)^{3}\\\\\frac{4\pi (9)^{3}}{3} \\\\Factor (9)^{3}: (3)^{6}\\\\\frac{(3)^{6} * 4\pi }{3} \\\\[/tex]

cancel common factor: 3

[tex]3^{5} * 4\pi \\3^{5} = 243\\243 * 4\pi\\972\pi[/tex]

Let me know if you have any questions !

Step-by-step explanation:

1: MD = 17.621

VD = 27.41

2:

60 degrees

3: sinC

Answer:

X Intercepts: (2, 0), (-6, 0),

Y Intercepts: (0, – 12)

minimum: (-2,-16)

Step-by-step explanation:

A) what are the x intercepts

X- axis interception points of x²+ 4x– 12:

(2,0), (-6,0)

B)what is the y intercepts

Y-axis interception point of x² + 4X – 12:

(0, – 12)

X Intercepts: (2, 0), (-6, 0), Y Intercepts: (0, – 12)

C)what is the maximum and minimum value

Parabola equation in polynomial form

The parabola params are:

a=1, b=4,c= -12

xv= -b/2a

xv= -4/2.1

simplify

xv=-2

Plug in xv = -2 to find the yv value

yv= -16

Therefore the parabola vertex is (-2, – 16)

If a<0. then the vertex is a maximum value

If a>0. then the vertex is a minimum value

a=1

minimum=(-2,-16)

Answer: vertical angles theorem

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that:

We don't know:

Let's count up by tenths:

It suddenly stops at 0.8.

Let's count up by hundredths:

It stops at 0.85.

0.85 is your answer.

An example of a statistcal question that Sam could write about is the weight of the members of a sample of 100 dogs.

Statistical question can be regarded as the question that needed alot of data processing before one can answer it.

When choosing a Statistical question, one should know that it will involve collection of data for processing such as classification of the pet base on their weights.

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Answer:

kinda hard

Step-by-step explanation:

h² = c² + c²

([tex]\sqrt{11}[/tex])² = ([tex]\sqrt{11}[/tex]/2)² + x²

x² = ([tex]\sqrt{11}[/tex])² - ([tex]\sqrt{11}[/tex]/2)²

answer: x = [tex]\sqrt{11}[/tex]  - [tex]\sqrt{11}[/tex]/2

Answer:

x = 27.4

Step-by-step explanation:

[tex]\sf \angle Q+ \angle R+ \angle S=180^{o} [/tex]

[tex]\sf 34.6 + 118 + x = 180[/tex]

Add 34.6 and 118 = 152.6

[tex]\sf 152.6+x=180[/tex]

Subtract 152.6 from both sides.

[tex]\sf x=180 - 152.6[/tex]

Subtract 152.6 from 180 = 27.4.

Therefore, the missing angle "x" is 27.4.

Answer:

$20.13

Step-by-step explanation:

$4.70x3=$14.10+$6.20 = $20.13

The calculated value of the height of figure 1 is (d) 4 units

from the question, we have the following parameters that can be used in our computation:

The figures

The figure 1 is similar to figure 2

So, we have

4x/(x + 1) = 2x/x

When evaluated, we have

4x = 2x + 2

So, we have

2x = 2

Evaluate

x = 1

This means that

Height = 4 * 1

Evaluate

Height = 4

Hence, the height of figure 1 is 4 units

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Answer:

240

Step-by-step explanation:

see photo for solution

Answer:

y=x+4

Step-by-step explanation:

y intercept should be at positive 4 and a straight line going in the positive direction

Using the normal distribution, it is found that a weight of 3125 grams would given a newborn a z-score of −0.75.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, it is found that the mean and the standard deviation for the weight of newborns is given as follows:

[tex]\mu = 3500, \sigma = 500[/tex]

Hence, the weight associated with Z = -0.75 is given by X:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.75 = \frac{X - 3500}{500}[/tex]

X - 3500 = -0.75(500)

X = 3125.

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Answer:

9/19  or  47.4% (nearest tenth)

Step-by-step explanation:

A roulette wheel is numbered 1 to 36 with 0 and 00.

Therefore, there is a total of 38 evenly-spaced pockets.

The number of odd numbers from 1 to 36 is 18

(1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35)

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \textsf{Probability of odd number}= \sf \dfrac{18}{38}=\dfrac{9}{19}=47.4\%[/tex]

Roulette wheel contains 1 to 36 numbers excluding 0 and 00

Total odd nos

{1,3,5,7,9,11,13,15,17,19,21,23,25,29,31,33,35}

Probability

Answer:

1) 9y^10

2) 560u^16 v^15

Step-by-step explanation:

The value of a, b and c from the given expression above are 15, 1 and 4 respectively

Indices are written in form of exponential expression. Given the expression

[tex]\sqrt[4]{15}[/tex]

We are to write the expression in the form

[tex]a^{b/c}[/tex]

This is simplified as shown

[tex]\sqrt[4]{15}= 15^{1/4}[/tex]

Compare both expression

a = 15

b = 1

c = 4

Hence the value of a, b and c from the given expression above are 15, 1 and 4 respectively

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Answer:

74 I believe

180 - 32 = 148

148/2 = 74

Hope this helps!

Answer:

[tex]x + x + 32 = 180(sum \: of \: inside \: the \: triangle \: is180) \\ 2x = 180 - 32 \\ x = \frac{148}{2} \\ x = 74[/tex]

Answer:

133°

Hope this helps!!!