2(x - y)2 - 9(x - y) + 10​

There are multiple possible solutions for x, two examples are x = 0° and x = 360°.

We need to solve the equation:

sin(2x) = sin(x)

Then we need to find a value x such that the sine of 2x is equal to the sine of x.

Now, because of the periodicity of the sine equation, there are a lot of possible values of x.

One example, trivial, is x = 0, this is because 2*0 = 0, then we would have:

sin(2*0) = sin(0)

sin(0) = sin(0).

Another case is if we take x = 360° (remember that 360° is the period of the sine function), then we can have:

sin(2*360°) = sin(360°)

sin(720°) = sin(360°) = 0

Then x = 360° is another solution.

If you want to learn more about the sine function, you can read:

https://brainly.com/question/9565966

The angle made by the apothem and the radius is 30 degrees. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The apothem of a regular hexagon measures 8 cm.

Then the side length of the hexagon will be

[tex]\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm[/tex]

The perimeter of the hexagon will be

Perimeter = 6 × 9.24 = 55.43 cm

The area of the hexagon will be

Area = 0.5 × 8 × 9.24 = 36.95 cm².

The angle made by the apothem and the radius is 30 degrees.

More about the polygon link is given below.

https://brainly.com/question/17756657

Answer:

2, 4, & 5

Step-by-step explanation:

I did it

Answer: 2d+3<=9

Step-by-step explanation:2 times a number is 2d plus 3 is +3 less than or equal to is <=

Answer:

The number line "D" represents the solution to 5+8x<3(2x+4)

Answer:

Solve;

5 + 8x < 3(2x + 4)

Perform the distributive property:

5 + 8x < 6x + 12

-5              -5

8x < 6x + 7

-6x     -6x

2x < 7

/2   /2

x < 3.5, so your answer is D.

Answer:

x=-5/2

Step-by-step explanation:

Hi there!

We are given the following equation:

[tex]6^{x+3} = \sqrt{6}[/tex]

We want to find the value of x

This is an exponential equation. In order to find the value of x, we need to make sure that both sides of the equation are at the same bases before we solve the equation

On the left side, we have 6 (the base) raised to the power of x+3

On the right, we have √6

Here's a trick to make this problem easier: the square root of a number is equal to that number, raised to the power of 1/2. In other words, √a is equal to [tex]a^\frac{1}{2}[/tex]

Therefore, √6 is equal to [tex]6^\frac{1}{2}[/tex]

Rewriting the equation then:

[tex]6^{x+3}=6^\frac{1}{2}[/tex]

Both sides have the same base (6)

Now we can solve the equation for x. Simply take what the exponents are, and then set them equal to each other.

This means:

x + 3 = 1/2

Subtract 3 from both sides

x+3=1/2

  -3   -3
___________

x = -5/2

Hope this helps!

Answer:

x = 1

Step-by-step explanation:

To find the vertical asymptote(s) we set the denominator to 0, but first we have to factor and simplify the function

[tex]f(x)=\frac{(x+1)(x-7)(x+10)}{(x-1)(x-7)(x+10)}[/tex]

step 1 the function is already factored so we just have to simplify it by canceling like terms

[tex]f(x)=\frac{x+1}{x-1}[/tex]

step 2 set denominator to 0 and solve for x

x - 1 = 0  

step 3 add 1 to both sides

x = 1

Answer: x = 1

By "doing the math" from the function given:

      Given:

[tex]f (x) =\displaystyle \frac{(x+1)(x-7)(x-10)}{(x-1)(x-7)(x-10)}[/tex]

      Terms in both the numerator and denominator are equal to 1:

 [tex]f (x) =\displaystyle \frac{(x+1)}{(x-1)}[/tex]

      We cannot have a denominator equal to 0, because you cannot divide by 0, so the vertical asymptote is x = 1 since 1 - 1 = 0. This can also be found by setting the denominator equal to 0 and solving for x.

By graphing:

      A vertical asymptote, put simply, is a vertical line "within" the domain, but not a part of the graph. I will graph the equation given and see what we come up with.

-> See attached

      Either way, the answer to your problem is:

x = 1

Answer:

Taking like terms ( i.e. terms with same variables ) to left side and constant terms ( i.e. simple numbers ) to right side . .

Answer:

x = 9

Step-by-step explanation:

#1) Simplify each side.

#2) Bring x terms to the left side and numbers to the other side.

#3) Divide both sides by 4.

Answer: They both will get 2 pizzas

Step-by-step explanation: 4 divided by 2

Answer:

the answer for question 15 is going to be D. since wen u draw the line on a graph there is only one point that connects to the points we are given in the question so it's (-8,4)

Answer:

5 days

Step-by-step explanation:

26+35+41+ 18 = 120

120/24 = 5

Using the t-distribution, as we have the standard deviation for the sample, we could claim that the mean weight in pounds is in the interval (79.1, 85.7).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 100 - 1 = 99 df, is t = 2.6259.

The other parameters have values given by:

[tex]\overline{x} = 82.4, s = 12.6, n = 100[/tex].

We could claim that the mean is any value in the 99% confidence interval, which has bounds given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 - 2.6259\frac{12.6}{\sqrt{100}} = 79.1[/tex]

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 + 2.6259\frac{12.6}{\sqrt{100}} = 85.7[/tex]

More can be learned about the t-distribution at https://brainly.com/question/16162795

The dimension of the box is 50in by 10in by 15in

The volume of an object is the quantity of substance it contains.

The formula for calculating the volume of the box is expressed as:

V = lwh

where:

Given the following parameters

length = 5w
height = w + 5

Substiute

7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0

Factorize to determine the width

On factorizing, the width of the box is 10 inches

Recall that:

l = 5w
l = 5(10)

l = 50inches

Get the height

h = w + 5
h = 10 + 5
h = 15inches

Hence the dimension of the box is 50in by 10in by 15in

Learn more on volume of box here: https://brainly.com/question/14957364

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

[tex]x=5\pm10i[/tex]

Step-by-step explanation:

[tex]y=x^2-10x+125\\\\0=x^2-10x+125\\\\0-100=x^2-10x+125-100\\\\-100=x^2-10x+25\\\\-100=(x-5)^2\\\\\pm10i=x-5\\\\5\pm10i=x\\\\x=5\pm10i[/tex]

Answer:

answer A

Step-by-step explanation:

Option C is correct, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.

Speed is the time rate at which an object is moving along a path,

The Coriolis Effect causes moving objects, including air, to be deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere.

As air moves from the equator towards the poles, it experiences a change in latitude, which causes it to be deflected.

This deflection results in the formation of high-pressure and low pressure systems that move weather patterns around the globe.

The speed of the air is affected by a number of factors, including temperature, pressure, and the Coriolis Effect.

However, the Coriolis Effect does not directly affect the speed of the air as it moves from the equator towards the poles.

Therefore, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.

To learn more on Speed click:

https://brainly.com/question/28224010

#SPJ2

Answer:

11, 15, 20

Step-by-step explanation:

[tex]there \: would \: be \: 11 \: between \: 4 \: and \: 9 \\ 4 + 11 = 15 \\ 11 + 9 = 20 \\ 20 + 15 = 35 \\ \: please \: rate \: brainliest[/tex]

The numbers in the grid are:

4     11     9

  15     20

     35

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 + x = a _____(1)

9 + x = b ______(2)

And a + b = 35

From (1) and (2),

4 + x = a

9 + x = b

13 + 2x = a + b   ( Adding )

Now,

13 + 2x = a + b

13 + 2x = 35

2x = 22

x = 11

Thus,

4     11     9

  15     20

     35

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

area of triangular prism:

[tex]\dashrightarrow \sf (4+3+5) \ x \ 7 \ + 3 \ x \ 4[/tex]

[tex]\dashrightarrow \sf 96 \ ft^2[/tex]

Answer:

Step-by-step explanation:

A =  7 ft

B = 5 ft

C = 3 ft  (base of the triangle)

D =  4 ft  (height of the triangle)

Surface area of prism = base *height + ( B + C + D)*A

                                    = 4*3 + (5 + 3 + 4) * 7

                                    = 12 + 12 *7

                                    = 12 + 84

                                     = 96 square ft.

Answer: 1.8 cubic cm

Step-by-step explanation:

Answer: The answer is 13, read on to find out

Step-by-step explanation: The traingles are simliar so the values are similar as well. Find a lowest common factor of the values.

The lowest common factor is 4 because all the numbers can be divided by the number 4.

20 divided by 4 is 5 which is already shown on the graph

48 divided by 4 is 12

All we have to do now is 52 divided by 4

Hope I helped you answer the question! Have a great day/afternoon!

Answer:

Step-by-step explanation:

Using the formula for the growth of investment:

           .....[1]

where,

A is the amount after t year

P is the Principal

r is the growth rate in decimal

As per the statement:

Scott invests $1000 at a bank that offers 6% compounded annually.

⇒P = $1000 and r = 6% = 0.06

substitute these in [1] we get;

⇒

Therefore, an equation to model the growth of the investment is,

Hope the picture will help you!!

Answer: $17.24

Step-by-step explanation:

6.78 + (1.49 x 4) + 4.50= 17.24

The equation of the line that is perpendicular to y = 4x + 5, in slope-intercept form is: y = -1/4x - 2.

Lines that are perpendicular to each other have slope that are negative reciprocal to each other.

Slope of y = 4x + 5 is 4.

Negative reciprocal of 4 is -1/4.

Substitute m = -1/4 and (a, b) = (8, -4) into y - b = m(x - a):

y - (-4) = -1/4(x - 8)

y + 4 = -1/4x + 2

y = -1/4x + 2 - 4

y = -1/4x - 2

Equation of the perpendicular line is: y = -1/4x - 2.

Learn more about equation of perpendicular lines on:

https://brainly.com/question/7098341

Answer: 2.23 hours

Step-by-step explanation:

dimensions of the room------------------- >16*13

1 in---------------- >0.0833333 foot

3 in----------------- >x

x=3*.0833333=0.25 ft

Let

C-------------- > dimensions of the piece of carpet that Charlotte must purchase

C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft²

The answer a the question 1) is 16.50 feet X 13.50 feet

The answer a the question 2) is 222.75 ft²

3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?

if two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour

four person carpet crew can lay 100 square feet of carpet---------- > 1 hour

therefore

if  100 ft² carpet----------------------- > 1 hour

222.75 ft² carpet--------------------- > x

x=222.75/100=2.2275 hours=2.23 hours

The answer is 2.23 hours

The volume of the cone is 58.875 cubic inches. The volume of the cylinder is 176.625 cubic inches. The volume of the cylinder is three (3) times the volume of the cone.

The volume of a cone is equal to one-third (1/3) of the area of the circular base as well as the height product.

Mathematically, the volume of a cone can be expressed as:

[tex]\mathbf{V_{cone} = \pi r ^2 \dfrac{h}{3} }[/tex]

where;

[tex]\mathbf{V_{cone} = 3.14 \times (2.5 ^2)\times \dfrac{9}{3} }[/tex]

[tex]\mathbf{V_{cone} = 3.14 (2.5 ^2)\times 3 }[/tex]

[tex]\mathbf{V_{cone} =58.875\ inches ^3}[/tex]

The volume of a cylinder implies the amount of quantity of material being carried in the cylinder. The volume of the cylinder can be expressed as:

V = πr²h

V = π(2.5)² × 9

V = 3.14 × (2.5)² × 9

V = 176.625 inches³

The volume of the cylinder is three times the volume of the cone because:
[tex]\mathbf{=\dfrac{176.625 \ in^3}{ 58.875\ in^3}}[/tex]

=  3

Learn more about the volume of cone and cylinder here:

https://brainly.com/question/1310192

Answer:

Anything between 4 and 14

Step-by-step explanation:

When two lengths of a triangle are added together, they must be greater than the third side. Therefore the unknown length cannot be equal to or less than 4 nor equal to or greater than 14.

Answer:

that is 4.6 m that the answer

Answer:

17190 years.

Step-by-step explanation:

The half-life of carbon-14 is

5730 years.

Therefore, after1 half-life there is 50%=12 of the original amount left.2half-lives there is 25%=14of the original amount left.3 half-lives there is 12.5%=18 of the original amount left.

1−78=18

So, your answer would be the time it takes for carbon-14 to elapse 3 half-lives.

5730⋅3=17190

Answer:

41/20

Step-by-step explanation:

or 2 1/20

The volume of the cylinder with the same radius and height as the cone is: 135 cm³.

Relating both volumes, we would have:

Volume of a cylinder = 3(volume of a cone), if they both have equal height and radius.

Given that a cone and a cylinder have the same radius (r) and the same height (h), and the cone has a volume of 45 cm³, therefore:

Volume of the Cylinder = 3(45)

Volume of the Cylinder = 135 cm³.

Learn more about volume of cylinder on:

https://brainly.com/question/9554871

Answer:

x²-x-20

Step-by-step explanation:

Using Vieta's formula

x²-(sum of roots)x+(product of roots)=0

x²-(5+-4)x+(5×-4)=0

x²-x-20=0

Answer:

The slope is -1/2

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{k-2k}{3k-k}\\ \\m=\frac{-k}{2k}\\ \\m=-\frac{1}{2}[/tex]