A teacher of a dance class collected data and created a histogram as shown.


Which statement accurately describes the information in the graph?
A.
The data describes the ages of the teachers of an art class.
B.
The data describes the ages of the students in an art class.
C.
The data describes the ages of the students in a dance class.
D.
The data describes the ages of the teachers of a dance class.

Answer:

8.7kilos

Step-by-step explanation:

70.22 divided by 8

hope this helps!

Answer:

Pi is used to find the area and circumference of a circle. Pi can be used to find an area by multiplying the radius of the circle squared times pi.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

Answer:

108 miles

Step-by-step explanation:

144m/4h = 36m/1h or 36mph

36mph · 3 = 108m

4 units left means change in x

So

Solve for domain

Option A

The domain of g is x ≥ -2, which is option B.

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Given that,

the graph of g is a translation 2 units left of the graph of f(x) = x√x.

When f(x) is translated k units to the left, the new function will be f(x + k).

So the new function g is,

g(x) = (x + 2) √(x + 2)

In order for the function to be defined, the part inside the square root must be greater than or equal to 0.

x + 2 ≥ 0

x ≥ -2

Hence the domain is x ≥ -2.

Learn more about Translation here :

https://brainly.com/question/29288435

#SPJ3

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic= }{ \bf { \textcolor{orange}{mathematics= }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]

3a+2(4a-b)=

3a+8a-2b=

[tex] \bf \textcolor{green}{ \underbrace{11a - 2b}}[/tex]

Answer:

B. It is isometric because all side lengths and angle measures remained the same

Step-by-step explanation:

Answer:

B) It is isometric because all side lengths and angle measures remained the same.

Step-by-step explanation:

Got it right on edge <3

Answer:

Step-by-step explanation:

Easy just divide this into 2 shapes.

The area of a rectangle is lenght Times Width.

2 Rectangles. So the One on the left would be

5X12=60 is the area of the first one.

The Second rectangle is

6X10=60

Both rectangles have the same area.

Now just add up both areas

60+60= 120 square units

SonicIsCoool, if you need more help I'm at your service

:)

Answer:

C. 120 units² or square units

Step-by-step explanation:

View the attached picture

Hope it helps!

Derivation of f(x):

   [tex]f'(x) = \frac{g(x)*8x-4x^2*g'(x)}{(g(x))^2} -\frac{1}{x+2}[/tex]

    Since g(3) = 6 and g'(3) = 3

   [tex]f'(3) = \frac{g(3)*8*3-4(3)^2*g'(3)}{(g(3))^2} -\frac{1}{3+2} \\f'(3) = \frac{6*8*3-4*9*3}{36} -\frac{1}{5} \\f'(3) = \frac{36}{36} -\frac{1}{5} =1-\frac{1}{5} =\frac{4}{5}\\ f'(3) = 0.8[/tex]

Thus f'(3) = 0.8

Hope that helps!

A couple of identities I used in derivation:

[tex]\frac{d}{dx} (ln x) = \frac{1}{x}[/tex]

Answer:

12.16 inches.

Step-by-step explanation:

Use pythagoras thereom since they are right angle triangles. A² = c² - b².

For NP triangle:

10² - 4² = 84. square root of 84 is 9.165.

For MN triangle:

5² - 4² = 9. square root of 9 is 3.

finally, add them up:

3 + 9.165 = 12.165, to 2 d.p., it is 12.16 inches.

The parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.

A parabola is a collection of points on a plane that are all at the same distance from a particular point and line. The point is called the focus of the parabola while the line is called the directrix. The directrix is perpendicular to a parabola's axis of symmetry and does not contact it.

As we know that the directrix is perpendicular to the axis of the parabola, now since the directrix is at x=-4, the parabola will be horizontal and will be opening either towards the left or the right.

As it is given that the vertex of the parabola is at (0,0) and we know that the parabola can not touch the directrix, therefore, the parabola's vertex will be at (0,0) and will open towards the right side. As shown below.

Hence, the parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.

Learn more about Directrix:

https://brainly.com/question/2629634

Answer:

right

Step-by-step explanation:

Answer:

2x1 mabe

Step-by-step explanation:

im just doing that because they are next to eatch other but im in 6 grade so if i get it wrong dont blame me

Answer:

1020 cans

Step-by-step explanation:

100-25

=75%

0.75x1600

1200cans

100-15

=85%

0.85x1200

=1020 cans

Answer:

Step-by-step explanation:

To check , substitute x = -5 and y = 5 into the given equation:

y = x

5 = -5

which is not true so (-5, 5) is not a solution.

Answer:

The answer would be k=5/2

Step-by-step explanation:

2.5 (4k+2)12k <- distribute the 2.5 into the parentheses  

10k+5=12k <- take the parentheses out of the equation

10k-12k= -5 <- Move the like terms to one side and change the sign

-2k= -5 <- Collect the like terms & divide by -2 on both sides of the equation

k=5/2 <- Answer at the end

Answer: 3/2

Step-by-step explanation:

Let's consider the points (6,9) and (4,6).

The difference in the y coordinates is 3, and the diffeence in the x coordinates is 2.

So, the slope is 3/2.

Answer:

24.62°

Step-by-step explanation:

sin^-1 (5/12)

=24.62

Answer:

24.62°

Step-by-step explanation:

sin^-1(5÷12) = 24.62°

(if you are allowed to use calculator)

Answer:

hi

Step-by-step explanation:

Answer:

$1,680

Step-by-step explanation:

i think it is right because 12,000 at 2 percent=280 then 280×7= 1,680

The frequency of these visible light waves that our eyes see is equal to [tex]4.47\times 10^{-14}\;Hz[/tex]

Wavelength refers to the distance between two (2) successive crests (troughs) of a wave.

Mathematically, the frequency of a wave is given by this formula:

[tex]F = \frac{V}{\lambda}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]F=\frac{3 \times 10^8}{6.7 \times 10^{-7}} \\\\F=4.47\times 10^{-14}\;Hz[/tex]

Read more on frequency here: https://brainly.com/question/19250621

102 is what percent of 120? = 85.

Answer:

122.4

Step-by-step explanation:

this is easy, all we need to do is multiply 120 by 1.02, since it is 2%, and it is increasing not decreasing. when we do that, we get 122.4. to check, you can also do .02x120, to get 2.4. please mark as brainlest.

Answer: (-3, 0) and (-1, 0)

Step-by-step explanation:

[tex]-4x^2-16x-12[/tex]

[tex]\mathrm{Rewrite\:}-16\mathrm{\:as\:}-4\cdot \:4[/tex]

[tex]\mathrm{Rewrite\:}-12\mathrm{\:as\:}-4\cdot \:3[/tex]

[tex]=-4x^2-4\cdot \:4x-4\cdot \:3[/tex]

[tex]\text{Factor out common term -4}[/tex]

[tex]=-4\left(x^2+4x+3\right)[/tex]

[tex]x^2+4x+3[/tex]

[tex]=\left(x^2+x\right)+\left(3x+3\right)[/tex]

[tex]=x\left(x+1\right)+3\left(x+1\right)[/tex]

[tex]\mathrm{Factor \ out \ common \ term \ x+1}[/tex]

[tex]=\left(x+1\right)\left(x+3\right)[/tex]

[tex]=-4\left(x+1\right)\left(x+3\right)[/tex]

Roots:

x + 3 = 0    and    x + 1 = 0

x = 0 - 3               x = 0 - 1

x = -3                   x = -1

Therefore, the zeroes of the function are (-3, 0) and (-1, 0)

Answer: 107 meters

Step-by-step explanation:

There are 2 ways to solve this:

1. The formula for arc length is: arc length = angle (in radians) * radius.

Thus, convert 123 degrees to radians by multiplying it by (pi/180), and then multiply this number by 50 (half of the diameter is the radius) in order to get 107.

2. Find the circumference of the track using C = pi*diameter and get 314.16. Then, set up a proportion: 314.16 meters / 360 degrees = x meters / 123 degrees and solve to get 107 :)

Answer:

(2x + y)(2x - y - 1)

Step-by-step explanation:

4x² - y² - 2x - y

4x² - y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4x² - y²

= (2x)² - y²

= (2x - y)(2x + y)

expression is now

(2x - y)(2x + y) - (2x + y) ← factor out (2x + y) from each term

= (2x + y)(2x - y - 1)

Answer:

Damain has bought enough juice.

Step-by-step explanation:

1 qt(quart) = 2 pints.

3 qt = 6 pints.

6 pints > 5 pints (6 pints is bigger than 5 pints)

Therefore, Damain has bought enough juice.

Please mark as brainliest!

Answer:

you may check in your book this question is related with stastics

Answer:

(S)=0

Step-by-step explanation:

i dont knowkkkkkkkkkkkkk

Using the Central Limit Theorem, we have that:

a) Since there are at least 10 successes and 10 failures, the condition is met.

b) Using the formula [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], with n = 400 and p = 0.11, the standard error is of 0.0156.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

Item a:

44 are found to be defective, hence:

Which means that the conditions are met.

Item b:

We have that the parameters are:

[tex]n = 400, p = \frac{44}{400} = 0.11[/tex]

Hence, the standard error is given by:

[tex]s = \sqrt{\frac{0.11(0.89)}{400}} = 0.0156[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Answer:

625

Step-by-step explanation:

becuase 20% is equivilant to 1/5 you need to multiply by 5 to get 1t or full.

part b: 187.5

part c: 125 gallons is 25%. this is because you can fit 4 of it into one 500 gallon tank

Answer:

625 gal, 187.5 gal, 80%

Step-by-step explanation:

[tex]\frac{125}{x}[/tex]=[tex]\frac{20}{100}[/tex] 125*100/20=625

[tex]\frac{x}{625}=\frac{30}{100}[/tex] 30*625/100=187.5 or 625*.3=187.5

[tex]\frac{500}{625}=\frac{x}{100}[/tex] 500*100/625=80