What value of x is in the solution set of 2(3x - 1) = 4x - 6?
-10
-5
OOO

Answer:

V = 175 yd^3

Step-by-step explanation:

V = B*h

The base is the area of the triangle

B = 1/2 (5*7) = 35/2

so

V = 35/2 * 10

V = 175 yd^3

Answer:

175 yd

Step-by-step explanation:

The volume of a triangular prism can be calculated by the area of the base times its height. The bases are always the odd shapes out, so here it is the triangles with the "height" being the distance between the two bases.

The area of the base here is [tex]\frac{5*7}{2}[/tex]=17.5.

Multiplying that by the "height" gives 17.5×10= 175 yards.

Answer:

Sin(460 radians)= .97054

sin(460 degrees)= 0.98480775301

Step-by-step explanation:

I'm not sure where you are from, but usually you are allowed to use a calculator. (At least I was when I took Algebra 2/Trig in 6th grade.)

You never specified radians or degrees so I will answer both.

sin(460 radians)= .97054

sin(460 degrees)= 0.98480775301

If you are not allowed to use a calc, then I suggest looking at unit circle videos on Khan Academy.

Answer:

4:14 or 2:7

Step-by-step explanation:

there are 4 girls and 14 boys

the ratio is 4:14

correct me if this is wrong

Answer:

2/7

Step-by-step explanation:

two find the answer you need to reduce 4 and 14 into the lowest common denominator.

Answer:

Step-by-step explanation:

The total pressure of a gas is the sum of the partial pressures of the gases that it consists of. It means that

N2 + O2 + H2 + F2 = pressure of mixture

1 kpa = 7.50061683 mmhg

The total pressure of the mixture is 511.56 kPa. Converting to mmHg, it becomes

511.56 × 7.50061683 = 3837.02 mmhg

The pressure of the O2 is 196 kPa. Converting to mmhg, it becomes

196 × 7.50061683 = 1470.12 mmhg

Since the the pressure of the H2 is standard pressure, it means that the pressure is 760 mmhg

Also, pressure of the N2 is 584 mm Hg

Therefore,

1470.12 + 760 + 584 + F2 = 3837.02

2814.12 + F2 = 3837.02

F2 = 3837.02 - 2814.12

F2 = 1022.9 mm Hg

Answer:

the answer for the question is 26√13/12

Answer:

2 and 1/12

Step-by-step explanation:

pls mrk brainliest

Answer: 25/12

Step-by-step explanation: One and two thirds is equal to 5/3, so now all you have to do is divide 5/3 by 4/5. To divide fractions you multiply the first fraction to the reciprocal of the second fraction. The reciprocal simply means to switch the numerator with the denominator. Multiply 5/3 by 5/4. To multiply fractions you need to multiply straight across. 5 times 5 is 25 and 3 times 4 is 12, so the answer is 25/12.

Answer:

1.88

Step-by-step explanation:

From Trigonometry Identity;

Cos 20° = AC/ CB

AC = Cos 20° × CB

= Cos 20° × 2

= 1.879

= 1.88 ( to the nearest hundredth)

Answer:

57.9375

Step-by-step explanation:

Answer:

The answer above this is correct

Answer:

y = x/2 +9/2

Step-by-step explanation:

y = -2x - 6.

The equation of the line perpendicular to the above equation has a slope 1/2

The equation of a slope is

y2-y1/x2-x1 = 1/2

To form an equation of the line we chose a point that lies on the graph which is perpendicular to y = -2x - 6 and an arbitrary point (x,y)

A point is given us already and that point is (3, 6).

Tie all together to compute the slope we have;

y-6/x-3 = 1/2

2(y-6) = x-3

2y-12= x-3

2y = x-3+12

2y= x+9

Dividing through by 2 we have

y = x/2 +9/2

y = x/2 + 4.5

The required equation is 2x-y =0, interception point is (0,0) and the equation is in integers.

Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.

The equation of a line which passes through point (x₁, y₁) with slope m can be given by,

y - y₁ = m(x - x₁)

The given equation of line k is y= -2x-6    (1).

The slope of line k = -2.

Since, line l is perpendicular to line k,

Slope of line l = 2

Line l passes through the point (3,6), therefore, the equation of line l,

y-6= 2(x-3)

⇒2x-y =0   (2)

To find interception point of slope of line l,

Substitute y=0, in equation (2) ,

x intercept = 0

Substitute x=0, in equation (2),

y intercept = 0

The equation is 2x-y =0, and it is in integer form.

To know more about Slope on :

https://brainly.com/question/16180119

#SPJ2

Answer:

its A for the domain and B for the range

domain: (-infinity,infinity) Range: (-infinity,4]

Step-by-step explanation:

Answer:

its 3

Step-by-step explanation:

Answer:

The equation for total cost function is

C(x)=100+270x

Step-by-step explanation:

Variable cost per per board =total cost per day-fixed cost per day/daily output

total cost per day is $5,500

fixed cost per day is $100

20 boards are produced per day

variable cost per board=($5,500-$100)/20=$270 per day

Total cost C(x)=fixed cost per day+ variable per board*number of daily output

Since daily output is represented also by x ,total cost function is given thus:

C(x)=100+270x

The equation for total cost function is C(x)=100+270x

Variable cost per board =total cost per day-fixed cost per day ÷ daily output

Here

total cost per day is $5,500

fixed cost per day is $100

20 boards are produced per day

So,

variable cost per board=($5,500-$100) ÷20

=$270 per day

Now the equation is

C(x)=100+270x

Learn more: https://brainly.com/question/13981855?referrer=searchResults

Answer:

3 units

Step-by-step explanation:

The formula for the volume of the cone is given by

[tex]V=\frac{1}{3} \pi r^{2}h[/tex]

[tex]V=18\pi\ unit^{3} \\\\ r=\frac{2x}{2} =x\ units \\ \\ h=2x\ units[/tex]

Substituting in above formula

[tex]18\pi=\frac{1}{3} \pi*x^{2}*2x\\ \\ 54=2x^{3} \\ \\ x^{3} =27\\ \\ x=\sqrt[3]{27} \\ \\ x=3\ units[/tex]

Thus, the radius of the cone is 3 units.

Answer:

[tex]y^{-1}[/tex]

Step-by-step explanation:

This question is asking us to rewrite the original expression it in the form [tex]y^n[/tex]

First we have

[tex](y^{-4} )y^3[/tex]

By the law of exponents we know that when we are multiplying expressions that have the same base, we need to add up the exponents.

Thus, this would mean that, in order to multiply this expression, we need to sum up the exponents so we have:

[tex]-4+3=-1[/tex]

Thus, this expression can be rewritten as:

[tex](y^{-4} )y^3=y^{-4+3} =y^{-1}[/tex]

Answer:

1/a^n

Step-by-step explanation:

To simplify, you remove the negative by "flipping" what side it is on.

a^-n/1  -> 1/a^n

Answer:

[tex]\frac{1}{a^n}[/tex]

Step-by-step explanation:

[tex]a^{-n}[/tex]

You would apply exponent rule which is [tex]a^{-b}=\frac{1}{a^b}[/tex]:

[tex]=\frac{1}{a^n}[/tex]

Answer:

  4.5 inches

Step-by-step explanation:

Put the given values in the volume formula and solve for width:

  V = LHW

  138.24 = (3.2)(9.6)W

  138.24/30.72 = W = 4.5

The width of the prism is 4.5 inches.

Answer:

According to the Law of Cosines, the correct answer would be D) 50.2 feet

Answer:

x = -1            x = -5/3

Step-by-step explanation:

Assuming we want the zeros

(2x+2) (3x+5) =0

Using the zero product property

2x+2 = 0   3x+5 =0

2x = -2       3x = -5

x = -2/2      x = -5/3

x = -1            x = -5/3

Answer:

x=-1, or -5/3

Step-by-step explanation:

When you add (2x+2)(3x+5)=0, it becomes a equation that you can solve for. I would advise you to separate both the parts of the equation so it becomes (2x+3)=0 and (3x+5)= 0 and that's how you can subract and divide easier in order to get the solutions. Hope this helps!!

Answer:

-2

Step-by-step explanation:

Edge 2020

Answer: B. -2

Step-by-step explanation: On Edge!!!!!

Answer:

2.5π units^3

Step-by-step explanation:

Solution:-

- We will evaluate the solid formed by a function defined as an elliptical paraboloid as follows:-

                                  [tex]z = 4 - x^2 -4y^2[/tex]

- To sketch the elliptical paraboloid we need to know the two things first is the intersection point on the z-axis and the orientation of the paraboloid ( upward / downward cup ).

- To determine the intersection point on the z-axis. We will substitute the following x = y = 0 into the given function. We get:

                                 [tex]z = 4 - 0 -4*0 = 4[/tex]

- The intersection point of surface is z = 4. To determine the orientation of the paraboloid we see the linear term in the equation. The independent coordinates ( x^2 and y^2 ) are non-linear while ( z ) is linear. Hence, the paraboloid is directed along the z-axis.

- To determine the cup upward or downwards we will look at the signs of both non-linear terms ( x^2 and y^2 ). Both non-linear terms are accompanied by the negative sign ( - ). Hence, the surface is cup downwards. The sketch is shown in the attachment.

- The boundary conditions are expressed in the form of a cylinder and a plane expressed as:

                                [tex]x^2 + y^2 = 1\\\\z = 4[/tex]

- To cylinder is basically an extension of the circle that lies in the ( x - y ) plane out to the missing coordinate direction. Hence, the circle ( x^2 + y^2 = 1 ) of radius = 1 unit is extended along the z - axis ( coordinate missing in the equation ).

- The cylinder bounds the paraboloid in the x-y plane and the plane z = 0 and the intersection coordinate z = 4 of the paraboloid bounds the required solid in the z-direction. ( See the complete sketch in the attachment )

- To determine the volume of solid defined by the elliptical paraboloid bounded by a cylinder and plane we will employ the use of tripple integrals.

- We will first integrate the solid in 3-dimension along the z-direction. With limits: ( z = 0 , [tex]z = 4 - x^2 -4y^2[/tex] ). Then we will integrate the projection of the solid on the x-y plane bounded by a circle ( cylinder ) along the y-direction. With limits: ( [tex]y = - \sqrt{1 - x^2}[/tex] , [tex]y = \sqrt{1 - x^2}[/tex] ). Finally evaluate along the x-direction represented by a 1-dimensional line with end points ( -1 , 1 ).

- We set up our integral as follows:

                            [tex]V_s = \int\int\int {} \, dz.dy.dx[/tex]

- Integrate with respect to ( dz ) with limits: ( z = 0 , [tex]z = 4 - x^2 -4y^2[/tex] ):

                           [tex]V_s = \int\int [ {4 - x^2 - 4y^2} ] \, dy.dx[/tex]

- Integrate with respect to ( dy ) with limits: ( [tex]y = - \sqrt{1 - x^2}[/tex] , [tex]y = \sqrt{1 - x^2}[/tex] )

                        [tex]V_s = \int [ {4y - x^2.y - \frac{4}{3} y^3} ] \, | .dx\\\\V_s = \int [ {8\sqrt{( 1 - x^2 )} - 2x^2*\sqrt{( 1 - x^2 )} - \frac{8}{3} ( 1 - x^2 )^\frac{3}{2} } ] . dx[/tex]

- Integrate with respect to ( dx ) with limits: ( -1 , 1 )

                       [tex]V_s = [ 4. ( arcsin ( x ) + x\sqrt{1 - x^2} ) - \frac{arcsin ( x ) - 2x ( 1 -x^2 )^\frac{3}{2} + x\sqrt{1 - x^2} }{2} - \frac{ 3*arcsin ( x ) + 2x ( 1 -x^2 )^\frac{3}{2} + 3x\sqrt{1 - x^2} }{3} ] | \limits^1_-_1\\\\V_s = [ \frac{5}{2} *arcsin ( x ) + \frac{5}{3}*x ( 1 -x^2 )^\frac{3}{2} + \frac{5}{2} *x\sqrt{1 - x^2} ) ] | \limits^1_-_1\\\\V_s = [ \frac{5\pi }{2} + 0 + 0 ] \\\\V_s = \frac{5\pi }{2}[/tex]

Answer: The volume of the solid bounded by the curves is ( 5π/2 ) units^3.

Answer:

(a) The mean of the data is 275.

(b) The median of the data is 85.

(c) The mode of the data is 45.

(d)  The measure of center that works best​ here will be median.

Step-by-step explanation:

We are given below the frequency of cremation burials found in 17 archaeological sites. Arranging those in ascending order we get;

28, 31, 32, 45, 45, 47, 59, 67, 85, 86, 143, 256, 272, 390, 424, 524, 2141.

(a) The formula for calculating mean for the above data is given by;

     Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X}{n}[/tex]

                =  [tex]\frac{28+ 31+ 32+ 45+ 45+ 47+ 59+ 67+ 85+ 86+ 143+ 256+ 272+ 390+ 424+ 524+ 2141}{17}[/tex]

                =  [tex]\frac{4675}{17}[/tex]  = 275

So, the mean of the data is 275.

(b) Since, the number of observations (n) in our data is odd (i.e. n = 17) , so the formula for calculating median is given by;

                    Median  =  [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

                                   =  [tex](\frac{17+1}{2} )^{th} \text{ obs.}[/tex]

                                   =  [tex](\frac{18}{2} )^{th} \text{ obs.}[/tex]

                                   =  [tex]9^{th} \text{ obs.}[/tex] = 85

So, the median of the data is 85.

(c) Mode is that value in our data which appears maximum number of times in our data.

So, after observing our data we can see that only number 45 is appearing maximum number of times (2 times) and all other numbers are appearing  only once.

So, the mode of the data is 45.

(d) The measure of center that works best​ here will be median because there are outliers in our data (means extreme values) and mean gets affected by the outliers.

So, the best measure would be median as it represents the middle most value of our data.

Answer:

its A aka 4

Step-by-step explanation:

Answer:

-14, 14

Step-by-step explanation:

[tex] {x}^{2} = 196 \\ x = \pm \sqrt{196} \\ x = \pm \: 14 \\ x = 14 \: \: or \: \: x = - 14 \\ x = \{ - 14, \: \: 14 \}[/tex]

Answer:

[tex]x = 14[/tex]

x= -14

Step-by-step explanation:

[tex] {x}^{2} = 196 \\ x = \sqrt{196} \\ x = 14[/tex]

x= -14

To check whether the answer is correct,

[tex] {x}^{2} = 196 \\ [/tex]

[tex]x = 14[/tex]

[tex] {14}^{2} = 196 \\ 14 \times 14 = 196 \\ 196 = 196[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: .250

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

colons are used to list

Answer:

B and D

Step-by-step explanation:

<JKB = <FGC (SINCE BITH THEIR BISECTORS BISECT THEM MAKING A 90° ANGLE)

AND

<BKL = 90° (BECAUSE OF THE BISECTOR)

Answer:

B and D

Step-by-step explanation:

B and D

Step-by-step explanation:

-11+3=-8

-8+3=-5

-5+3=-2

From the topic of sequence and series

Answer:

2 and 3

Step-by-step explanation:

Answers

We can use cluster sampling here. In this case, the population is divided into sampling units or clusters, for example, zone within educational or geographical areas. Having divided the population into clusters, we can use simple random sampling to select the clusters to be examined. Consider Asian American as one cluster, African american as another cluster and so on. According to the size of the cluster randomly select individuals from each cluster for a total of 100 individuals.

Generally there would be bias in accordance to the differnce in ethnicity. Also if the selected students are in a younger, then the teachers opnion would play a very big role there.

The question itself is a source of bias and it seems to give an idea to the students to think in these lines. The question can be better worded to get a correct answer. Even if there is equal opportunity, some students may read the question and give a negative answer.