What is the value of x?

Answer:

tan =-1

Step-by-step explanation:

tan(θ)=sen(θ)/cos(θ)

so

[tex]tan(angle)=\frac{\frac{-\sqrt{2} }{2} }{\frac{\sqrt{2} }{2} } }\\\\tan(angle)=-1[/tex]

Answer:

Step-by-step explanation:

[tex]cos \: \: theta \: = \frac{ \sqrt{2} }{2} = \frac{1}{ \sqrt{2} } = cos \: \frac{\pi}{4 } [/tex]

[tex]cos \: (2\pi \: - \frac{\pi}{4} ) \: \: ( \frac{3\pi}{2} < theta < 2\pi)[/tex]

[tex] = cos \: \frac{7\pi}{4} [/tex]

Theta = 7π / 4

[tex]sin \: theta = sin \: \frac{7\pi}{4} [/tex]

[tex] = sin \: (2\pi \: - \frac{\pi}{4} )[/tex]

[tex] - sin \: \frac{\pi}{4} [/tex]

[tex] = \frac{ - 1}{ \sqrt{2} } [/tex]

[tex] = - \frac{ \sqrt{2} }{2} [/tex]

Finding tan theta:

[tex]tan \: theta = tan \: \frac{7\pi}{4} [/tex]

[tex] =tan \: (2\pi - \frac{\pi}{4} )[/tex]

[tex] = - tan \: \frac{\pi}{4} [/tex]

[tex] = - 1[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Step-by-step explanation:

x is a random variable. Since we are assuming that x has a normal distribution, then we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 24

σ = 4.2

The indicated probability to be determined is P(x ≥ 30)

P(x ≥ 30) = 1 - P(x < 30)

For P(x < 30),

z = (30 - 24)/4.2 = 1.43

Looking at the normal distribution table, the probability corresponding to the z score is 0.9236

Therefore,

P(x ≥ 30) = 1 - 0.9236 = 0.0764

Answer:

1. 1/x = 8

Answer = 8x-1

2. 8x+1=3

Answer ; x=1/4

3. 7= 14/X

Answer ; x = 2

4.1/2x^2 = 2

Answer ;x=2

Step-by-step explanation:

[tex]\frac{1}{x} =8 \\8x = 1\\\\\\8x+1=3\\Collect -like- terms \\8x =3-1\\8x = 2\\Divide -both -sides- by ;8\\\frac{8x}{8} =\frac{2}{8} \\x = 1/4\\\\\\7= \frac{14}{x} \\Cross -multiply\\7x =14\\Divide-both-sides-by-7\\x = 2\\\\\\\frac{1}{2} x^{2} =2\\\frac{x^{2} }{2} =2\\Cross-multiply\\x^{2} =4\\Squre-root -both-sides\\\sqrt{x^2}=\sqrt{4} \\x = 2\\[/tex]

Answer:

1. 1/x=8 ⇒ 8x= 1

2. 8x+1= 3⇒ x=1/4

3. 7= 14/x ⇒ x =2

4. 1/2x^2= 2 ⇒ x=2 this is a repeat of one above

None is matching x=1/2

Answer:

Step-by-step explanation:

Try this:

    1 wall                           1                   288

------------------------ =  ---------------  =  --------------- min  =  8 min

1 wall        1 wall         24 + 12                 36

(---------) + (---------)      ------------

12 min      24 min           288

Answer:

The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is [tex]x= \frac{1}{12}\cdot y^{2}[/tex].

Step-by-step explanation:

As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:

[tex]x - h = 4\cdot p \cdot (y-k)^{2}[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.

[tex]p[/tex] - Least distance of directrix with respect to vertex, dimensionless.

Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:

[tex]p = x_{D} - x_{V}[/tex]

[tex]p = \frac{1}{48}-0[/tex]

[tex]p = \frac{1}{48}[/tex]

Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is [tex]x= \frac{1}{12}\cdot y^{2}[/tex].

Answer/Step-by-step explanation:

Let's highlight the dimensions of the bedroom and living room using the information given in the question:

==>Squared Bedroom dimensions:

Side length = w = x ft

Area = x*x = x²

==>Rectangular living room dimensions:

width = side length of the squared bedroom = x

length = (x + 9) ft

Area = L*W = x*(x+9) = x² + 9x

Now let's match each given expression with what they represent:

==>"the monomial, x, a factor of the expression x² + 9x" represents "the width of the carpet in the living room"

As we have shown in the dimensions of the squared bedroom above.

==>"the binomial, (x + 9), a factor of the expression x² + 9x" represents "the length of the carpet in the living room" as shown above in the dimensions for living room

==>"the second-degree term of the expression x² + 9x" represents "the area of the carpet in the bedroom"

i.e. the 2nd-degree term in the expression is x², which represents the area of the carpet of the given bedroom.

==>"the first-degree term of the expression x2 + 9x" represents "the increase in the area of carpet needed for the living room".

i.e. 1st-degree term in the expression is 9x. And it represents the increase in the area of the carpet for the living room. Area of bedroom is x². Area of carpet needed for living room increased by 9x. Thus, area of carpet needed for living room = x² + 9x

Answer:

It's the third Answer: It is the portion of internal energy that can be transferred from one substance to another.

Hope this helps

Answer:

c

Step-by-step explanation:

Answer:

A translation; (x,y) --> (x-4,y-5)

Step-by-step explanation:

This is because the figures are congruent and in the same orientation but just in different locations on the coordinate plane.

A(0,3) --> A'(-4,-2)

So, the rule is (x,y) --> (x-4,y-5)

Answer:

x = 7

y = 8

Step-by-step explanation:

4y-4 = 28

4y = 32

y = 8

10x+65 = 135

10x = 70

x = 7

Answer:

Step-by-step explanation:

(4y-4)=28

4y=32

y=8

(10x+65)=135

10x=70

x=7

Answer:

Step-by-step explanation:

We know that'

GCF × LCM = Product of given number

1. Two numbers have a GCF of 2

= 2 × LCM = Product of given number

LCM = Product of given number / 2

LCM is half of given product.

2. Two numbers have an LCM of 2

= GCF × 2 = Product of given number

GCF = Product of given number / 2

GCF is half of given product.

3. Two numbers have a GCF of 3

= 3 × LCM = Product of given number

LCM = Product of given number / 3

LCM is one-third of given product.

4. Two numbers have an LCM of 10

= GCF × 10 = Product of given number

GCF = Product of given number / 10

GCF is one-tenth of given product.

Answer:

40 ml of 73% solution required and 80 ml of 13% solution

Step-by-step explanation:

Let x = amt of 58% solution

It say's the amt of the resulting mixture is to be 120 ml, therefore

(120-x) = amt of 13% solution

A typical mixture equation

0.73x + 0.13(120-x) = 0.33(120)

0.73x + 15.6 - 0.13x = 39.6

0.6x=24

x=40 ml of 73% solution required

and

120 - 40 =80 ml of 13% solution

Answer:

33.333333%

Step-by-step explanation:

If 6/9 (66.66666666%) of the jeans are blue it means that 3/9 of the jeans are not blue. 3/9 as a percentage is 33.333333%

Answer:

33.3%

Step-by-step explanation:

6 ÷ 9 = 66.66666667%

100% - 66.66666667% = 33.3% (Or you can put 33.33333333)

Hope this helped! :)

Answer:

V= 452.39cm³ (to 2 d.p. )

S.A. = 326.73cm² (to 2 d.p. )

Step-by-step explanation:

Vcylinder = π r² h = π (4)² (9) = 144 π = 452.3893421cm³ = 452.39cm³ (to 2 d.p. )

S.A. cylinder = 2π r h + 2π r² = 2π (4)(9) + 2π (4)² = 104π = 326.725636cm² = 326.73cm² (to 2 d.p. )

Answer:

If r = 6 cm, the the circumference is c = 2π(6) = 12π cm

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST

THNXX :)

Answer:

In that year approximately 2114 thousand people visited the park.

Step-by-step explanation:

Since the expression [tex]y(x) = -7.5*x^2 + 103*x + 2142[/tex] models the number of visitors in the park, where x represents the number of years after 2007 and 2021 is 14 years after that, then we need to find "y" for that as shown below.

[tex]y(14) = -7.5*(14)^2 + 103*14 + 2142\\y(14) = -7.5*196 + 1442 + 2142\\y(14) = -1470 + 3584\\y(14) = 2114[/tex]

In that year approximately 2114 thousand people visited the park.

Answer:

240cm³

Step-by-step explanation:

First, let's assume the entire shape is full rectangular prism without that has the middle being cut out.

What this means is that, to get the volume of the solid made out of clay, we would calculate the solid as a full rectangular prism, then find the volume of the assumed middle cut-out portion. Then find the difference between both.

Let's solve:

Find the volume of the rectangular prism assuming the solid is full:

Volume of prism = width (w) × height (h) × length (l)

w = 4cm

h = 7cm

l = 3+6+3 = 12cm

Volume of full solid = 4*7*12 = 336cm³

Next, find the volume of the assumed cut-out portion using same formula for volume of rectangular prism:

w = 4cm

h = 7-3 = 4cm

l = 6cm

Volume of assumed cut-out portion = 4*4*6 = 96cm³

Volume of solid made from clay = 336cm³ - 96cm³ = 240cm³

Answer:

Step-by-step explanation:

The spread of the height of each person in the group depends on the standard deviation. A low standard deviation means that the heights are closer to the mean than that of a high standard deviation. If an individual is picked, the probability of picking one who is more than 68 inches tall is small as this depends on the number of individuals in this category. The probability of picking a sample of four people who average more than 68 inches tall would be higher since average would be taken. Therefore, it is more likely to pick a sample of four people who average more than 68 inches tall

Step-by-step explanation:

x - y = 34

x + y = 212

2x = 246

x = 123

123 + y = 212

y = 89

(123, 89)

ith 0 identical marbles permitted to be included in any of the jars, An expression can be developed to determine the total of marbles in jar arrangements, which is:

E = [(n+j -1)!]*{1/[(j-1)!]*[(n)!]}, where n = number of identical balls and j =number of distinct jars, the contents of all of which must sum to n for each marbles in j jars arrangement. With n = 7 and j = 4. E = 10!/(3!)(7!) = 120= number of ways 7 identical marbles can be distributed to 4 distinct jars such that up to 3 boxes may be empty and the maximum to any box is 7 balls.i think is the answer

Answer:

3x - 300

Step-by-step explanation:

Expand the brackets or use distribute law.

Answer:

solution,

[tex]3(x - 100) \\ = 3 \times x - 3 \times 100 \\ = 3x - 300[/tex]

hope this helps..

Answer: C

Step-by-step explanation:

We can automatically eliminate D because since both matrices are 2x2, the product exists.

[tex]\left[\begin{array}{ccc}1&5\\-3&4\end{array}\right] \left[\begin{array}{ccc}2&6\\6&-1\end{array}\right] =\left[\begin{array}{ccc}1*2+5*6&1*6+5*(-1)\\(-3)*2+4*6&(-3)*6+4*(-1)\end{array}\right]=\left[\begin{array}{ccc}32&1\\18&-22\end{array}\right][/tex]

Answer:

1:27 (D)

Step-by-step explanation:

Given:

Sphere A has a diameter of 2

Sphere A is dilated to create sphere B

Scale factor = 3

Volume of a sphere = 4/3 πr³

Radius = r = diameter/2 = 2/2

r = 1

Volume of sphere A = 4/3 ×π(1)³

Volume of sphere A = 4/3 × π

Volume of sphere B = 4/3 πR³

Since the diameter was dilated, the diameter of B = diameter of A × scale factor

diameter of B = 2×3 = 6

Radius of B = R = diameter/2 = 3

Volume of sphere B = 4/3 × π(3)³

Volume of sphere B = (4/3)(27)π

Ratio of the volume of sphere A to volume of sphere B

= [4/3 ×π]: [(4/3)(27)π]

= (4π/3)/[(4π/3)×27] = 1/27

= 1:27

Answer: 1:27

Step-by-step explanation:

The original volume * scale factor cubed = new volume.

The scale factor is 3 and 3^3 is 27, so the ratio is 1:27

Answer:

26,400 N

Step-by-step explanation:

PLEASE CHECK ATTACHMENT FOR COMPLETE SOLUTION

Answer:

Area to the right is 0.813

Step-by-step explanation:

Since the area under the full normal distribution should render "1" (one), then the area to the right of x  should be:

1 - area to the left of x = 1 - 0.187 = 0.813

The area to the right of x in this normal distribution will be 0.813.

The majority of the observations are centered around the middle peak of the normal distribution, which is a continuous probability distribution that is symmetrical around its mean.

The probabilities for values that are farther from the mean taper off equally in both directions. Extreme values in the distribution's two tails are likewise rare.

Not all symmetrical distributions are normal, even though the normal distribution is symmetrical. 

We know that the total area described in a normal distribution is 1.

Given, that the area to the left of x in a normal distribution is 0.187.

So, the area to the right of x will be,

1 - 0.187.

= 0.813.

learn more about normal distribution here :

https://brainly.com/question/15103234

#SPJ2

Answer:

120,960 ways

Step-by-step explanation:

Assuming that each piece is unique, then the order of each piece matters.

There are 9 pieces in total, there are 3 options for the first piece (3 piano pieces), and the remaining 8 pieces can be permuted. The number of possible arrangements is:

[tex]n=3*\frac{8!}{(8-8)!}\\ n=3*8*7*6*5*4*3*2*1\\n=120,960\ ways[/tex]

The program can be arranged in 120,960 ways.

Answer:

The population under consideration in the data set are all the adults in the United States.

Step-by-step explanation:

Sampling

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

The population of interest are all the residents of New York State.

In this question:

Sample of 765 adults in the United states.

So the population under consideration in the data set are all the adults in the United States.

Answer:

The description is provided following.

Step-by-step explanation:

The given question is incomplete. The complete question will be:

                                     Brain tumors                      No Brain tumors

Cell Phones                          63                                          185

No Cell Phones                    96                                          292                  

The further explanation is given below.

a...

Subjects with these symptoms/diseases are recognized as "cases." Consequently, the majority of the instances would be as follows:

⇒  [tex]63+96[/tex]

⇒  [tex]159[/tex]  

b...

Subjects who might not have the disorder or infection are classified as "controls." Therefore, the amount of controls is as follows:

⇒  [tex]185+292[/tex]

⇒  [tex]477[/tex]

c...

The proportion of control and monitoring of instances:

⇒  [tex]\frac{478}{159}[/tex]

⇒  [tex]3.006[/tex]

Answer:

Option (A)

Step-by-step explanation:

Given:

LM ≅ OP

MN ≅ PQ

∠M ≅ ∠P

To Prove:

ΔLMN ≅ ΔOQP

                   Statements                      Reasons

1). LM ≅ OP                                   1). Given

2). MN ≅ PQ                                 2). Given

3). ∠P ≅  ∠M                                3). Given

4). ΔLNM ≅ ΔOQP                      4). By the SAS postulate of congruence.

                                                         [Side - Angle - Side]                          

Therefore, Option (A) will be the answer.

Answer:

(5x + 6) (x² + 5)

Step-by-step explanation:

5x³ + 6x² + 25x + 30

= x² (5x + 6) + 25x + 30    -- Group 5x³ and 6x²

= x² (5x + 6) + 5 (5x + 6)    -- Group 25x and 30

= (5x + 6) (x² + 5)  -- Both terms have a common factor of 5x + 6