answer correctly first for your brainliest!! :D solve for x: y=3x+22-2x !

Answer:

4000 nm

Step-by-step explanation:

Conversion from meters to nanometers: 1 meter is 1(10⁹) nm

Step 1: Convert 0.000004 to scientific notation

0.000004 = 4(10⁻⁶)

Step 2: Convert by multiplication

4(10⁻⁶) x 1(10⁹) = 4000 nm

Answer:

True

Step-by-step explanation:

All equiangular triangles are similar.

Answer:

370 mm²

Step-by-step explanation:

The area of this figure can be calculated by taking the whole figure as a full rectangle, and consider the part that is cut out from the middle of the shape as another rectangle.

Find the area of the cut-out part and subtract from the area of the full rectangular shape to get the area of the composite figure.

=>Area of full rectangular shape:

Length = 30 mm

Width = 15 mm

Area = L * B = 30*15 = 450 mm²

=>Area of the cut-out Rectangle part:

Length = 10 mm

Width = 8 mm

Area = 10*8 = 80 mm²

=>Area of composite figure = 450 mm² - 80 mm² = 370 mm²

Answer:

6x + 2(−2x + 1) = 22

Step-by-step explanation:

Answer: The answer is 6x + 2(−2x + 1) = 22

Answer:

tan(X) = 1.05

Step-by-step explanation:

The triangles WXY and VTU are similar using the case AA (angle-angle).

The angle X is equal the angle T, therefore they have the same tangent value.

The tangent value is given by the opposite side to the angle divided by the adjacent side to the angle, so we have that:

[tex]tan(T) = UV / UT[/tex]

[tex]tan(T) = 21 / 20 = 1.05[/tex]

[tex]tan(X) = tan(T) = 1.05[/tex]

Answer:

y-x

Step-by-step explanation:

I assumed you meant that you wanted me to rewrite the expression without the absolute value signs. Since the absolute value of a number will be the same whichever way you place the numbers, you can rewrite |x-y| as y-x, as x is less than y.

Answer:

385 hamburgers.

Step-by-step explanation:

So the data they have given us is that there have been 2 home games, with 70 hamburgers sold. If we divide the number of hamburgers sold by the number of games (70/2), we come up with the average hamburgers sold per game, which is 35. We can use an equation to find the amount of hamburgers sold for every x amount of games. [tex]h = 35x[/tex], with x being the amount of games, and h being the total amount of hamburgers. If you plug in 11 for x, you will get 385.

Answer:

[tex]Side\ B = 6.0[/tex]

[tex]\alpha = 56.3[/tex]

[tex]\theta = 93.7[/tex]

Step-by-step explanation:

Given

Let the three sides be represented with A, B, C

Let the angles be represented with [tex]\alpha, \beta, \theta[/tex]

[See Attachment for Triangle]

[tex]A = 10cm[/tex]

[tex]C = 12cm[/tex]

[tex]\beta = 30[/tex]

What the question is to calculate the third length (Side B) and the other 2 angles ([tex]\alpha\ and\ \theta[/tex])

Solving for Side B;

When two angles of a triangle are known, the third side is calculated as thus;

[tex]B^2 = A^2 + C^2 - 2ABCos\beta[/tex]

Substitute: [tex]A = 10[/tex],  [tex]C =12[/tex]; [tex]\beta = 30[/tex]

[tex]B^2 = 10^2 + 12^2 - 2 * 10 * 12 *Cos30[/tex]

[tex]B^2 = 100 + 144 - 240*0.86602540378[/tex]

[tex]B^2 = 100 + 144 - 207.846096907[/tex]

[tex]B^2 = 36.153903093[/tex]

Take Square root of both sides

[tex]\sqrt{B^2} = \sqrt{36.153903093}[/tex]

[tex]B = \sqrt{36.153903093}[/tex]

[tex]B = 6.0128115797[/tex]

[tex]B = 6.0[/tex] (Approximated)

Calculating Angle [tex]\alpha[/tex]

[tex]A^2 = B^2 + C^2 - 2BCCos\alpha[/tex]

Substitute: [tex]A = 10[/tex],  [tex]C =12[/tex]; [tex]B = 6[/tex]

[tex]10^2 = 6^2 + 12^2 - 2 * 6 * 12 *Cos\alpha[/tex]

[tex]100 = 36 + 144 - 144 *Cos\alpha[/tex]

[tex]100 = 36 + 144 - 144 *Cos\alpha[/tex]

[tex]100 = 180 - 144 *Cos\alpha[/tex]

Subtract 180 from both sides

[tex]100 - 180 = 180 - 180 - 144 *Cos\alpha[/tex]

[tex]-80 = - 144 *Cos\alpha[/tex]

Divide both sides by -144

[tex]\frac{-80}{-144} = \frac{- 144 *Cos\alpha}{-144}[/tex]

[tex]\frac{-80}{-144} = Cos\alpha[/tex]

[tex]0.5555556 = Cos\alpha[/tex]

Take arccos of both sides

[tex]Cos^{-1}(0.5555556) = Cos^{-1}(Cos\alpha)[/tex]

[tex]Cos^{-1}(0.5555556) = \alpha[/tex]

[tex]56.25098078 = \alpha[/tex]

[tex]\alpha = 56.3[/tex] (Approximated)

Calculating [tex]\theta[/tex]

Sum of angles in a triangle = 180

Hence;

[tex]\alpha + \beta + \theta = 180[/tex]

[tex]30 + 56.3 + \theta = 180[/tex]

[tex]86.3 + \theta = 180[/tex]

Make [tex]\theta[/tex] the subject of formula

[tex]\theta = 180 - 86.3[/tex]

[tex]\theta = 93.7[/tex]

Answer:

88.7

Step-by-step explanation:

P(Z < z) = 0.25

z = -0.674

z = (x − μ) / σ

-0.674 = (x − 99.6) / 16.2

x = 88.7

Answer:

see explanation

Step-by-step explanation:

I will begin with part two, first.

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

Given

x² - 18x + y² - 10y = - 6

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is

(x - 9)² + (y - 5)² = 100 ← in standard form

with centre = (9, 5 ) and r = [tex]\sqrt{100}[/tex] = 10

Answer:

x=1 and y=6

Step-by-step explanation:

10x+2y=22

3x-4y=-21

First at all, you have to multiply both sides of this equation of 10x+2y=22, like this,

2(10x+2y)=2*22

*Put the 2 for the both sides.

Then, expand them.

20x+4y=44

When we have 20x+4y=44, we can eliminate with another equation.

20x+4y=44

3x-4y=-21

So, the first equation has +4y and the second equation has -4y, so we can use elimination method to eliminate one variable.

This time we can sum these equation to get one variable to get the answer easily. Like this...

20x+4y=44

3x-4y=-21

to become...

23x=23

x=23/23

x=1

When we get the equation like this, we can divide 23 by 23, so we can get the value of x. So, the value of x is 1.

When we know x is equal to 1, we can do the last part substitute x=1 into the second equation which is 3x-4y=-21.

The following steps is like this:

Substitute x=1 into 3x-4y=-21,

3(1)-4y= -21

3-4y= -21

Move the 3 to the another side, like this;

-4y= -21-3

-4y= -24

y= -24/ -4

y=6

*Be careful! When you calculate -24/-4 , you have to know how to eliminate the negative sign. (-) / (-) = +

Negative number divided by negative number is equal to positive number.

So, here we go! the value of x is 1 and the value of y is 6.

That is my solution and explanation from me. I hope you can understand. Bye!

Answer:

Step-by-step explanation:

( x² + 3 ) ( x³ - x² + 4 )

Multiply the second parentheses by each term from the first parentheses

x² ( x³ - x² + 4 ) + 3 ( x³ - x² + 4 )

Distribute x through the parentheses

x⁵ - x⁴ + 4x² + 3 ( x³ - x² + 4 )

Distribute 3 through the parentheses

x⁵ - x⁴ + 4x² + 3x³ - 3x² + 12

Collect like terms

x⁵ - x⁴ + x² + 3x³ + 12

Use the commutative property to reorder the terms

x⁵ - x⁴ + 3x³ + x² + 12

Hope this helps..

Best regards!!

Answer:

x^5-x^4+3x^3+x^2+12

Step-by-step explanation:

Mulitply each term:

x^5-x^4+4x^2+3x^3-3x^2+12

Now simplify.

x^5-x^4+3x^3+x^2+12

I hope this helps....

Please mark me brainliest!!

Answer:

length = 26.6

width = 11.3

Step-by-step explanation:

1. Set up the equation

(2x + 4)(x) = 300

2. Simplify

2x² + 4x = 300

3. Solve by completing the square

Divide by 2 to make "a" equal to 1

x² + 2x = 150

Find term to complete the square by squaring half of "b"

(2/2)² = 1

x² + 2x + 1 = 150 + 1

Factor perfect square trinomial

√x² + 2x + √1 = 151

(x+1)² = 151

Square root each side

x + 1 = ±12.3

Set up two possibilities and solve

x + 1 = 12.3

x = 11.3

x + 1 = -12.3

x = -13.3

The measurement cannot be negative so width is equal to 11.3

4. Use the width to solve for the length

11.3(2) + 4 = 26.6

The length and width is 26.6 and 11.3.

Since The length of the fence is four more than two times the width.

So here the equation should be

(2x + 4)(x) = 300

[tex]2x^2 + 4x = 300[/tex]

Now

Here we divided by 2

So,

[tex]x^2 + 2x = 150[/tex]

Now we determine the term

[tex](2/2)^2 = 1\\\\x^2 + 2x + 1 = 150 + 1[/tex]

Now applied the Factor perfect square trinomial

[tex]\sqrt x^2 + 2x + \sqrt1 = 151\\\(x+1)^2 = 151[/tex]

Now do the Square root each side

x + 1 = ±12.3

Here we required to set up two possibilities and solve

x + 1 = 12.3

x = 11.3

And,

x + 1 = -12.3

x = -13.3

The measurement should not be negative so the width is equal to 11.3

Now the width is

= 11.3(2) + 4

= 26.6

Therefore, The length and width is 26.6 and 11.3.

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Answer:

14 cards

Step-by-step explanation:

70 - 15 = 55

55/4 = 13.75

Therefore, the highest number of cards someone is able to get is 14.

Answer:

14

Step-by-step explanation:

add!

Answer:

a. True

b. False

c. True

d. False

Step-by-step explanation:

a. Meaning

as we can see that x is an element of Y

So notation is

[tex]x \in Y[/tex]

Therefore x is the subset of Y if each of an element of X is also an element of Y.

So notation is

[tex]X \subseteq Y[/tex]

2. (a) We need to proof

When [tex]A \subseteq B and B \subseteq C \so A \subseteq C[/tex]

We will say that A, B and C are the set that is [tex]A\subseteq B\ and\ B\subseteq C[/tex]

When A = ∅ then [tex]A\subseteq C[/tex] which shows true, as the set of empty is a subset of each set.

Hence, it is safe to say that A is not the empty set.

Now we will proof directly

Let us say x be an element of A

[tex]x \in A[/tex]

As [tex]A \subseteq B,[/tex] each of the element of A is also an element of B

[tex]x \in B[/tex]

As [tex]B \subseteq C[/tex], each if the element of B is also an element of C

[tex]x \in C[/tex]

Therefore, as we can see that each of an element of A is also known an element of C, that states [tex]A \subseteq C[/tex]

So, the given statement is true, as we conclude with a proof.

(b). We will assume {1}, B = {{1},2} and C = {{1},2,3}

As in the point a, which is an element of B, that is [tex]A \in B[/tex] which is true

As all of the elements in B are also an element in C, [tex]B \subseteq C[/tex] which is also correct.

Although, [tex]A \subseteq C[/tex] is false as 1 is an element of A that is not in C.

(c) We need to proof

When  [tex]A \in B\ and \ B \subseteq C[/tex] then [tex]A \in C[/tex]

Let us assume that A, B and C are the sets that [tex]A\in B\ and\ B \subseteq C[/tex]

As, [tex]A \in B, \which\ is\ an\ element\ of\ the\ set\ B[/tex]

[tex]A\in B[/tex]

As, [tex]B \subseteq C[/tex], each of the element of B is also an element of C

[tex]A\in C[/tex]

So, its true.

(d) We will assume {1}, B = {{1},2} and C = {{1},2,3}

As in the point a, which is an element of B, that is [tex]A \in B[/tex] which is true

As {{1},2} is an element of B, [tex]B \in C[/tex] is correct

Although [tex]A \in C[/tex] is not correct as {1) is not an element in C.

SO the statement is false

Answer:

(21, 2)

Step-by-step explanation:

set equations equal to each other because they both equal y.

-1/3x + 9 = 2/3 x - 12

combine like terms by adding 1/3x and 12 to both sides.

21 = x

plug x in.

y = -1/3(21) + 9

y = -7 + 9

y = 2

check with other equation.

y = 2/3(21) - 12

y = 14 - 12

y = 2

solution: (21, 2)

hope this helps :)

Answer:

(21,2)

Step-by-step explanation:

took the quiz on edge

Answer:

The axis of symmetry of parabola is the equation where it cuts the middle of the graph.

So the axis of symmetry is x = 2 .

Answer:

3,500 tons

Step-by-step explanation:

We know that 1,400 tons is 2/5 of the Consolidated Brick Company's output.

This means that 1/5 must be equal to 700 tons if 2/5 is 1,400.

So, we can find the total output by multiplying 700 by 5, since 700 is 1/5 of the total.

700(5) = 3,500 tons

Answer:

volume of trapezoidal prism = 15x^2 cubic units

Step-by-step explanation:

First, area of the trapezoidal bases.

Parallel sides measure x and 2x, for an average of 1.5x.

Height = x

Area of trapezoidal base = 1.5x*x = 1.5x^2

Volume of prism = area base * height

(length does not matter, height does)

= 1.5x^2 * 10 = 15x^2

The volume of the prism is 15x² cubic units if the oblique prism has trapezoidal bases and a vertical height of 10 units option (B) 15x² cubic units is correct.

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

An oblique prism has trapezoidal bases and a vertical height of 10 units.

As we know, the area of the trapezoidal bases:

From the figure:

Height = x

Area of trapezoidal base = (1.5x)(x) = 1.5x²

The volume of prism = area base×height

= 1.5x²×10 = 15x² cubic units

Thus, the volume of the prism is 15x² cubic units if the oblique prism has trapezoidal bases and a vertical height of 10 units option (B) 15x² cubic units is correct.

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Answer:

The total surface area of cone is 70π cm² or 219.9 cm².

Step-by-step explanation:

Given that the formula of total surface area of cone is T.S.A = πr² + πrl where r represents radius and l is slant height. So you have to substitute the values :

[tex]t.s.a = \pi {r}^{2} + \pi{r}l[/tex]

[tex]let \: r = 5 \: , \: l = 9[/tex]

[tex]t.s.a = \pi {(5)}^{2} + \pi(5)(9)[/tex]

[tex]t.s.a = 25\pi + 45\pi[/tex]

[tex]t.s. a = 70\pi \: or \: 219.9 \: [/tex]

Answer:

78.5 yds

Step-by-step explanation:

The circumference is given by

C = pi *d

C = 3.14 * 25

C =78.5

Answer:

[tex]\huge\boxed{C=25\pi\ yd\approx78.5\ yd}[/tex]

Step-by-step explanation:

The formula of a circumference of a circle:

[tex]C=d\pi[/tex]

d - diameter

We have d = 25yd.

Substitute:

[tex]C=25\pi\ yd[/tex]

Use [tex]\pi\approx3.14[/tex]:

[tex]C\approx(25)(3.14)=78.5\ yd[/tex]

Step-by-step explanation:

1. Yes  addition, subtraction, multiplication, and division can be performed on polynomials. like our everyday arithmetic dealings with mathematical operators, polynomials are no exception when it comes to math operators, the four   basic operations addition, subtraction, multiplication, and division can be performed on polynomials as well.

2. It can be less handy plus the operation can get messy if you do not have a good sense/understanding/hold of what you are doing things can get messy.

3. I personally know that the simplest is the addition of polynomials

4. I cant say which is difficult, but the operation that can get things messy  for me most time is the division operation

The constant of proportionality is 3. The relationship that will have the same constant of proportionality will also have a slope of 3

For us to determine the constant of proportionality of the given graph, we must first find the equation of the line.

The standard equation of a line is expressed as y = mx + b

Using the coordinate points (0, 0) and (2, 6)

Get the slope "m"

[tex]m=\frac{6-0}{2-0}\\m=\frac{6}{2}\\m=3[/tex]

Since the line passed through the origin, the y-intercept is 0

Get the required equation:

y = mx + b

y = 3x + 0

y = 3x

From the equation, the constant of proportionality is 3. The relationship that will have the same constant of proportionality will also have a slope of 3

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Answer:

[tex]m^{10}[/tex]

Step-by-step explanation:

[tex]m^2m^5m^3\\=m^{2+5+3}\\\\=m^{10}[/tex]

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

Explanation:

I'm assuming you meant to write m^2 * m^5 * m^3

If so, you add the exponents to get 2+5+3 = 10 which is the exponent over the original base m. The base does not change.

The rule I used is a^b*a^c = a^(b+c). We see that the base stays the same at 'a' the whole time.

-----------

A longer way to do this is to expand out m^2 into m*m. We have two copies of m multiplied together.

Similarly, m^5 = m*m*m*m*m. We have five copies now.

Saying m^2*m^5 will have seven copies because

m^2*m^5 = (m*m) times (m*m*m*m*m) = m*m*m*m*m*m*m = m^7

Tacking on m^3 will add on three more copies of m to multiply out, giving 10 copies of m total to multiply. This alternative method is not advised since there is a possibility to lose track and make an error somewhere. The formula in the previous section is preferred. Though I recommend you try this second method out to see how/why the formula works.

Answer:

$80

Step-by-step explanation: $80.00*.0275= 2.20  80.-2.20=$77.80

The opening price of the stock in the beginning is A = $ 80

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the opening price of the stock in the beginning be A

Now , the percentage of decrease in the stock price = 2.75 %

And , the price after decrease = $ 77.80

On simplifying , we get

The opening price of the stock in the beginning - ( percentage of decrease in the stock price ) x opening price of the stock in the beginning = $ 77.80

A - ( 2.75 / 100 )A = 77.80

( 97.25/100 )A = 77.80

Divide by 97.25 on both sides , we get

A / 100 = 0.8

Multiply by 100 on both sides , we get

A = $ 80

Hence , the opening price of the stock is A = $ 80

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Answer:

53 degrees

Step-by-step explanation:

Complementary angles add to 90 degrees

a+b = 90

a=37

37+b = 90

Subtract 37 from each side

37+b-37 = 90-37

b =53

Answer: 53 degrees

Step-by-step explanation: We can find the measure of <b by taking 90 minus the measure of <a which is 90 - 37 or 53 degrees.

Answer:

C

Step-by-step explanation:

4:10 ≠ 6:8

Answer:

The correct ans is 3.

g(-2) = 2(-2) + 5

=-4 + 5 = 1

f(g(-2)) = 4 - (1)^2

= 4 - 1

=3

Step-by-step explanation:

Answer: k ≥ 2 and k ≤ -3

Step-by-step explanation:

When answering a problem like this, normally, you first isolate the absolute value.  As it is already isolated, the next thing you do is split the equation into 2k + 1 ≥ 5 and 2k + 1 ≥ -5, because the contents of the absolute value could be negative or positive, and simplifying both into k ≥ 2, and k ≤ -3.

Hope it helps <3