Solve 7x/3 < 2.

Please help !

Answer:

Part 1) [tex][(250)^{2}+(-400)^{2}+(-250)^{2}+(350)^{2}+(100)^{2}+(-50)]=420,000[/tex]

Part 2) The variance is equal to [tex]Variance=70,000[/tex]

Part 3) [tex]Standard\ Deviation=265[/tex]

Step-by-step explanation:

step 1

Find the mean of the areas

we have

[tex][2,400,1,750,1,900,2,500,2,250,2,100][/tex]

To find the mean sum all the values and divide by the number of values

The number of values is 6

so

[tex][2,400+1,750+1,900+2,500+2,250+2,100]/6=2.150[/tex]

The Mean is [tex]2.150[/tex]

step 2

For each number subtract the Mean

[tex][(2,400-2,150),(1,750-2,150),(1,900-2,150),(2,500-2,150),(2,250-2,150),(2,100-2,150)][/tex]

[tex][(250),(-400),(-250),(350),(100),(-50)][/tex]

step 3

Find the Variance

To calculate the Variance, take each difference, square it, and then average the result

[tex][(250)^{2}+(-400)^{2}+(-250)^{2}+(350)^{2}+(100)^{2}+(-50)]=420,000[/tex]

[tex]Variance=420,000/6=70,000[/tex]

step 4

Find the standard deviation

The Standard Deviation is just the square root of Variance

so

[tex]Standard\ Deviation=\sqrt{70,000} =265[/tex]

Answer: B. A cube with side lengths of 4 feet has a volume of 64 cubic feet.

Step-by-step explanation:

We know that the volume of a cube is the cube of the side-length.

Given : The volume of a cube can be written  in function notation as v(s).

The formula to find the volume of cube having sides as 's' will be :-

[tex]\text{V(s)}=s^3[/tex]

Then, the expression [tex]v(4)= 64[/tex], represents that for side =4 units , the volume of cube is 64 cubic units.

Hence for unit = feet , it represents that  A cube with side lengths of 4 feet has a volume of 64 cubic feet.

Answer:

8 minutes if Jane was assumed to be stationary

Step-by-step explanation:

The question is on relative speed

First find the distance covered by Jane when Sally left school

Speed=Distance/Time ⇒⇒ Distance=Time×Speed

Time=10minute=10/60 hrs

Jane's speed= 12mph

Distance covered by Jane when Sally left school was= 12 ×10/60 = 2miles

So, when Sally left school, Jane was 2 miles away. To find the time Sally requires to catch up with Jane;

Time=Distance/speed

Time of meeting =2/15 hrs ⇒⇒ 2/15 × 60 =8minutes

The graph representing Sally's distance from Los Angeles should depict a linear decrease from the point (0, 300) with a slope of -60. The line starts at 300 on the y-axis and consistently drops 60 units for every hour of travel time.

To find which graph could represent Sally's distance from Los Angeles in terms of time, we first determine the equation for Sally's journey. Since Sally drives at an average speed of 60 miles per hour, the distance she has driven after t hours is given by the equation d = 300 - 60t, where 300 is the initial distance from Los Angeles, and 60t represents the distance traveled in t hours.

The graph of this equation would be a straight line starting at the point (0, 300) and decreasing with a slope of -60, which represents the rate at which Sally approaches Los Angeles. This line shows how Sally's distance from Los Angeles decreases over time at a constant rate.

Therefore, the appropriate graph should start at 300 on the y-axis and slope downwards to the right, crossing the y-axis at points that are 60 units lower for each additional hour on the x-axis. This will show a linear decrease in distance over time, which corresponds to Sally's constant speed of 60 miles per hour.

ANSWER

The solution is (-1,2)

EXPLANATION

The system is:

y = 2x + 4

and

y = 8x + 10

Equate the two:

2x + 4 =8x + 10

Group similar terms:

8x-2x=4-10

Combine similar terms,

6x=-6

Divide both sides by 6.

x=-1

This implies that ,

y=2(-1)+4

y=2

The solution is (-1,2)

Answer:

x=-1

Step-by-step explanation:

y=2x+4

y=8x+10

y is = to both so use them together...

2x+4=8x+10

solve...

-2x both sides

4=6x+10

-10 both sides

-6=6x

divide by 6 both sides

x=-1

Answer:

y = -2x + 16

Step-by-step explanation:

A line perpendicular to y = (1/2)x - 6 would have a slope that is the negative reciprocal of 1/2, that is, a slope of -2.  Here the given point is (h, k):  (6, 4)

Applying the point-slope formula of the straight line,

y - k = m(x - h), where (h, k) is the point, we get:

y - 4 = -2(x - 6), or

y       = 4 - 2x + 12, or      

y   = -2x + 16

Answer:B

Step-by-step explanation:

Answer: B.  263.16 hertz

Step-by-step explanation:

We are given the time period of a musical note T= 0.0038 seconds.

Since ,we know that the frequency is given by the reciprocal value of the time period.

Therefore, the frequency of the musical note middle  is given by :-

[tex]\nu=\dfrac{1}{T}\\\\\Rightararow\nu=\dfrac{1}{0.0038}\\\\\Rightararow\nu=263.157894737\approx263.16\ Hz[/tex]

Hence, the  frequency of the musical note middle C = 263.16 Hertz

Answer:

your answer is b

Step-by-step explanation:

Answer:

720 i would think.

Step-by-step explanation:

Answer: Y=mx+b

B is the y intercept and the slope is M

So the answer is Y= -4x+ 0

Step-by-step explanation:

Answer:

y = - 4x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 4 and c = 0, hence

y = - 4x ← is the equation of the line

Answer:

3/2

Step-by-step explanation:

3/4 plus 3/4 is   3/4 + 3/4 = 6/4, and this reduces to 3/2.

Answer:

1 1/2

Step-by-step explanation:

Adding the numerators, three and three, yields six. The resulting fraction is 6/4. The next step is simplifying this fraction. The numerator is greater than the denominator and this indicates that the answer is more than one. Therefore, the numerator is divided by the denominator, which equals one with a remainder of two. This remaining fractional part, 2/4, is simplified by dividing both numerator and denominator by the greatest common factor, which is 2. This becomes 1/2, for a final answer of 1 1/2.

[tex]\bf -\cfrac{1}{10}-\left( -\cfrac{1}{2} \right)\implies -\cfrac{1}{10}+\cfrac{1}{2}\implies \stackrel{\textit{using the LCD of 10}}{\cfrac{-(1)1~~+~~(5)1}{10}}\implies \cfrac{-1+5}{10} \\\\\\ \cfrac{4}{10}\implies \stackrel{simplified}{\cfrac{2}{5}}[/tex]

Answer:

-3/2

Step-by-step explanation:

multiply both sides by y:

y-6 = 5y

subtract y from both sides:

-6 = 4y

divide both sides by 4:

-6/4 = y

y = -3/2

Answer:

[tex]\frac{y-6}{y}=5\quad :\quad y=-\frac{3}{2}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}y\\\frac{y-6}{y}y=5y\\\mathrm{Simplify\:}\frac{y-6}{y}y:\quad y-6\\y-6=5y\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\y-6+6=5y+6\\y=5y+6\\\mathrm{Subtract\:}5y\mathrm{\:from\:both\:sides}\\y-5y=5y+6-5y\\-4y=6\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4y}{-4}=\frac{6}{-4}\\y=-\frac{3}{2}[/tex]

OR

[tex]y-\frac{6}{y}=5\quad :\quad y=6,\:y=-1[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}y\\yy-\frac{6}{y}y=5y\\y^2-6=5y\\\mathrm{Solve\:}\:y^2-6=5y:\quad y=6,\:y=-1[/tex]

Hope this helps!!!!

A. 3, 4, 6

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle. The surface area of a solid is the total area of its outer surface. For a rectangular prism, we have three characteristic sides, which are height, width and depth. If:

[tex]height=a \\ \\ width=b \\ \\ depth=c[/tex]

Then, from the figure below we have:

[tex](1) \ a\times b=24 \\ \\ (2) \ a\times c=18 \\ \\ (3) \ b\times c=12 \\ \\ \\ From \ 1 \ and \ 3: \\ \\ b=\frac{24}{a}=\frac{12}{c} \therefore 24c=12a \ (4) \\ \\ From \ 2: \\ \\ a=\frac{18}{c} \\ \\ 2 \ into \ 4: \\ \\ 24c=12\times \frac{18}{c} \therefore c^2=9 \therefore \boxed{c=3} \\ \\ \\ c \ into \ 2: \\ \\ a=\frac{18}{3} \therefore \boxed{a=6} \\ \\ \\ c \ into \ 3: \\ \\ b=\frac{12}{3} \therefore \boxed{b=4}[/tex]

Finally, the dimensions are:

3, 4 and 6 cm

The answer is a hundred hours a month

dad brings home 3,600 dollars so mom has to make 900 a month

Answer:2

The second one because it is 108in and the first one is 47.6

Answer:

6 inch x 9 inch rectangular cake pan that is 2 inches deep

Step-by-step explanation:

6x9 is 54 x 2 is 108

the round has a volume of 28

the answer is D you’re welcome

Answer:

Step-by-step explanation:

(7x + 9)x + 90               use the distributive property a(b + c) = ab + ac

= (7x)(x) + (9)(x) + 90

=7x² + 9x + 90

Answer:

-2

Step-by-step explanation:

2+14a=-8+9a

-9a          -9a

2+5a= -8

+8      +8

10+5a=0

-10      -10

5a= -10

-10/5a   =-2

Answer:

Step-by-step explanation:

Its range is all real numbers.   FALSE.  Its range is [-1, 1].

Its period is 2pi.   TRUE

Its maximum is –1.    FALSE; -1 is its minimum.

Its domain is all real numbers.    TRUE

Its maximum is 1.  TRUE

The following describes a sine function:

The sine function is one out of the three basic functions we have in trignometry.

Sine theta in a right triangle is the ration of the opposite side of the triangle to its hypotenuse side.

The sine function is positive in the first two quadrants but negative in the other two.

In conclusion, the sine function can be described in so many ways but a few has been listed above.

Learn more about sine function : https://brainly.com/question/2491845

#SPJ2

Answer: 11 times

Step-by-step explanation:

Answer:

The output is 5

Step-by-step explanation:

we have

[tex]y=2x-1[/tex]

In this linear equation the input is the variable x and the output is the variable y

so

If the input is 3

That means ------> x=3

substitute the value of x in the equation and find the value of y (output)

[tex]y=2(3)-1=5[/tex]

Answer: $26

$40*.35=$14 off price of sweater

40-14=$26 sale price

Or

$40*.65=$26 sale price

Answer:

The correct answer is $26.

Step-by-step explanation:

Well, we must first analyze the information we have.

We have a sweater that was marked down 35% off.

We know that the original price of the sweater is $ 40. Now we just have to find out the final price.

But to know that, we must first know what the discount was applied.

And we find out as follows:

[tex]Tax= 40 . 0,35[/tex]

[tex]Tax= 14[/tex]

In this way we show that the price discounted to the sweater was $ 14

Now we just have to make a subtraction between the original price and the discount :

40-14=26

The final price of the sweater is $ 26

to find the ratio of total students, you would have to add the boys and girls together

136 + 184 = 320 total students at wood middle school

308 + 212 = 520 total students at parker middle school

therefore, the ratio of students at wood middle school to students at parker middle school would be 320:520

ratio simplified) 8:13

Answer:

320:520 or 320 to 520 or 320/520

Step-by-step explanation:

1st step: add the two comparisons of numbers together,

= 136 + 184 = 320

2nd step: do the same with the second set of numbers,

= 308 + 212 = 520

3rd step:

Take both sums or total and put them in ratio form,

= 320 and 520

4th step: Rewrite in ration form (There are many ways of doing this, here are a few:)

320:520 or 320 to 520 or 320/520

Answer:

987.76 Hz

Step-by-step explanation:

You have B4's frequency of 493.88 Hz and you want to know the frequency of the note one octave above B4.

When you go up an octave, you double the original frequency.  When you go down an octave, you divide the original frequency by two.

So, since B4's frequency is about 493.88 Hz, an octave above would be 2 x 493.88 Hz or 987.76 Hz

If we were looking for an octave below B4, we would divide 493.88 Hz by 2 to get 246.94 Hz.

Answer:

987.76 Hz

Step-by-step explanation:

493.88*2=987.76

took the test

Answer:

13

Step-by-step explanation:

In the question area!! lol

To find Janak's age, we set up an equation based on the information that his age is twice younger than his father's and six times younger than his sister's with their combined age totaling 118. Upon solving the algebraic equation, we find that Janak is approximately 13 years old.

We are given a problem where Janak is twice younger than his father and six times younger than his sister. The total age of Janak, his father, and his sister is 118 years. To solve for Janak's age, we will use algebra.

Let's assume Janak's age is J, his father's age will be 2J (twice Janak's age), and his sister's age will be 6J (six times Janak's age). We express the total age as the sum of their individual ages:

The equation that represents the total age is:

Combining the terms gives us:

To find Janak's age, we divide both sides of the equation by 9:

After performing the division, we get:

So, Janak is approximately 13 years old.

Answer:

11+x

Step-by-step explanation:

Straight outta Khan

The width of the rectangle with an area of 121-x^2 square meters and a length of 11 - x meters is represented by the expression 11 + x meters.

The area of a rectangle is the product of its length and width. In this case, the area is given as 121-x^2 square meters, while the length is given as 11 - x meters. To find the expression for the width, we divide the area by the length. Therefore, the width w can be represented by the following equation:

w = \(\frac{Area}{Length}\) = \(\frac{121-x^2}{11-x}\).

Due to the structure of the quadratic area (a perfect square difference) and the linear length (a factor of the quadratic), the equation simplifies to:

w = \(\frac{(11+x)(11-x)}{11-x}\).

Canceling out the common factor (11-x), we are left with:

w = 11 + x.

Thus, the expression representing the width of the rectangle is 11 + x meters.

Answer:

3/8

Step-by-step explanation:

That's the only one bigger than 2/6, any smaller will fall out as it's a button. You'd twist it sort of in half to get it in the hole, therefore, 3/8 is the only button that will fit.

I'm not sure if this is correct but this is how I'd go about it :)

Answer:

A. Triangle B

Step-by-step explanation:

Obtuse angles are greater than 90°, but less than 180°.

I am joyous to assist you anytime.

The obtuse triangle is B, the correct option is B.

A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called an obtuse-angled triangle.

Hence, the obtuse triangle is B.

To know more about obtuse triangles click the link given below.

https://brainly.com/question/2617159

Answer:

The general equation is 4x² + 4y² - 8 x + 19 y - 140 = 0

Step-by-step explanation:

* Lets revise the general form of the equation of the circle

- The general form : x² + y² + Dx + Ey + F = 0, where D, E, F are constants

- To find the values of D, E , F we must make three equations contains

  D, E , F and solve them simultaneous

- We can do that if we have three points on the circle to substitute

  x and y in the equation by them

* Now lets solve the problem

- There are three point on the circle (-5 , 0) , (0 , 4) , (2 , 4)

∵ The equation of the circle is x² + y² + Dx + Ey + F = 0

- Lets use the first point

∵ point (-5 , 0) lies on the circle

∴ (-5)² + (0)² + D(-5) + E(0) + F = 0 ⇒ simplify

∴ 25 - 5D + F = 0 ⇒ isolate F

∴ F = 5D - 25 ⇒ (1)

- Lets use the second point

∵ point (0 , 4) lies on the circle

∴ (0)² + (4)² + D(0) + E(4) + F = 0 ⇒ simplify

∴ 16 + 4E + F = 0 ⇒ substitute F form (1)

∴ 16 + 4E + 5D - 25 = 0

∴ 5D + 4E - 9 = 0 ⇒ add 9 to both sides

∴ 5D + 4E = 9 ⇒ (2)

- Lets use the third point

∵ point (2 , 4) lies on the circle

∴ (2)² + (4)² + D(2) + E(4) + F = 0 ⇒ simplify

∴ 4 + 16 + 2D + 4E + F = 0 ⇒ simplify

∴ 20 + 2D + 4E + F = 0 ⇒ substitute F form (1)

∴ 20 + 2D + 4E + 5D - 25 = 0 ⇒ simplify

∴ 7D + 4E - 5 = 0 ⇒ add 5 to both sides

∴ 7D + 4E = 5 ⇒ (3)

- Subtract (3) from (2) to eliminate E

∴ -2D = 4 ⇒ ÷ -2

∴ D = -2

- Substitute the value of D in (3) to find E

∴ 7(-2) + 4E = 5

∴ -14 + 4E = 5 ⇒ add 14 from both sides

∴ 4E = 19 ⇒ ÷ 4

∴ E = 19/4

- Substitute the value of D in (1) to find F

∴ F = 5(-2) - 25

∴ F = -10 - 25 = -35

∴ F = -35

* lets write the equation of the circle

∴ x² + y² - 2x + 19/4 y - 35 = 0 ⇒ × 4

∴ 4x² + 4y² - 8 x + 19 y - 140 = 0

* The general equation is 4x² + 4y² - 8 x + 19 y - 140 = 0