(8 x 3) x 6 = 8 x (3 x 6) is a true statement. Which multiplication property is this an example of?

Answer:

B)The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients.

OR

D) The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{4}{3} \times \pi \times {2}^{3} [/tex]

[tex]v = 33.51 \: {m}^{3} [/tex]

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = \pi \times {2}^{2} \times 6[/tex]

[tex]v = 75.40 \: {m}^{3} [/tex]

[tex]v = 75.40 + 33.51[/tex]

[tex]v = 108.91 \: {m}^{3} [/tex]

Hence, the volume of the given compound shape is 108.91 cubic meters.

sphere:

= 33.51 m^3

cylinder:

= 75.40 m^3

all together:

= 108.91 m^3

The graph represents the function (D) because the graph of the function  is not defined at x = 1 and x = 2 option (D) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function:

If we take the function:

[tex]\rm f(x) = \dfrac{1}{\left(x-1\right)\left(x-2\right)}[/tex]

At x = 1 and x = 2 the function will be not defined, so this region would be hollow and as we can see in the graph of a function.

The function is not defined at x = 1 and x = 2.

Thus, the graph represents the function (D) because the graph of the function is not defined at x = 1 and x = 2.

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Answer

whats the question

Step-by-step explanation:

Answer:

the answer is 11 because there are so many no. repeating so in this case we count total no of terms and say it n if terms are odd then mode

Step-by-step explanation:

mode = n+1÷2

Answer:

Getting sum 6 when rolling two dice

Answer:

B

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Using the Pythagorean Theorem, it is found that the rate of change of the hypotenuse is of -9.8 in/sec.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

Applying implicit differentiation, the rate of change of the hypotenuse is given by:

[tex]2h\frac{dh}{dt} = 2l_1\frac{dl_1}{dt} + 2l_2\frac{dl_2}{dt}[/tex]

[tex]h\frac{dh}{dt} = l_1\frac{dl_1}{dt} + l_2\frac{dl_2}{dt}[/tex]

In this problem, we have that the parameters are given as follows:

[tex]l_1 = 21, \frac{dl_1}{dt} = -7, l_2 = 28, \frac{dl_2}{dt} = -7[/tex]

[tex]h = \sqrt{l_1^2 + l_2^2} = \sqrt{21^2 + 28^2} = 35[/tex]

Hence, the rate of change of the hypotenuse, in inches per second, is given by:

[tex]h\frac{dh}{dt} = l_1\frac{dl_1}{dt} + l_2\frac{dl_2}{dt}[/tex]

[tex]35\frac{dh}{dt} = 21(-7) + 28(-7)[/tex]

[tex]\frac{dh}{dt} = \frac{21(-7) + 28(-7)}{35}[/tex]

[tex]\frac{dh}{dt} = -9.8[/tex]

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Answer:

Step-by-step explanation:

Draw a straight line.

Then draw 2 lines of equal length from the 2 ends of the line at angles of 120 degrees  going up and apart.

Then draw the fourth line joining the ends of these 2 lines.

The 2 angles formed will equal 60 degrees.

The quadrilateral formed is a trapezoid.

It's not hemisphere,It's a complete sphere .

Volume

Volume of each hemisphere.

7000_1.8%=61.2%this is the answer

Answer:

y= ⅓x +2

Step-by-step explanation:

Since the graph is a linear graph, let's use the slope-intercept form to find its equation.

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

The y-intercept is the point at which the graph cuts through the y-axis. In this case, the y-intercept is 2.

Thus, y= mx +2.

Let's find the slope of the graph.

First, identify 2 pairs of coordinates from the graph:

(0, 2) and (3, 3)

Next, substitute these coordinates into the slope formula below:

[tex]\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

slope

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

[tex] = \frac{1}{3} [/tex]

Thus, the equation of the graph is y= ⅓x +2.

[tex]5 \frac{3}{5} \% \: of \: 750[/tex]

[tex]5 \frac{3}{5} = 5.6[/tex]

[tex] \frac{5.6\%}{100} \times \frac{x}{750} [/tex]

[tex] = 42%[/tex]

Total pounds of yogurt they buy (as a mixed number) : [tex]1\dfrac{5}{16}[/tex]

Mass is one of the principal quantities, which is related to the matter in the object  

The main mass unit consists of 7 units of other than other units of mass such as quintals, tons, pounds, ounces:  

Kilogram, kg  

Hectogram, hg  

Decagram, dag  

gram, g  

Decigram, dg  

centigram, cg  

milligrams, mg  

Each unit descends then multiplied by 10, and if one unit increases then divided by 10  

Fraction numbers are known as numerator and denominator

On a number line, fractions are expressed in points that lie between two integers

The general form of fractions is

[tex]\dfrac{a}{b}[/tex]

Mixed fractions consist of integers and ordinary fractions

A mixed number is a combination of a whole number and a fraction

Sara has 14 ounces of vanilla yogurt

Her father's yogurt weighs half of much, so her fathers have yogurt :

= 0.5 x 14 ounces

= 7 ounces

Total ounces of yogurt they buy

= 14 + 7 = 21 ounces

for 1 ounces (oz) the conversion = 0.0625 pounds(lbs)

So for 21 ounces there will be

= 21 x 0.0625

= 1.3125 pounds

if we express as a mixed number , it will be :

[tex]=\dfrac{13125}{10000}[/tex]

[tex]=1\dfrac{5}{16}[/tex]

Hence Total pounds of yogurt they buy (as a mixed number) : [tex]1\dfrac{5}{16}[/tex]

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A parallelogram is a type of quadrilateral(four sides polygon) that has both the pair of opposite sides parallel and equal.

Area of a parallelogram = height× base

from the question,

height= 6cm

base= 5cm

area= 6×5= 30cm^2

The measures for the given angles B and E are 12° .

Triangles are similar when the correspondent angles and the ratio of correspondent sides are equal. Also, it must present the same shape, but it is not mandatory the same dimension.

Like the triangles are similar,  ∠B=∠E. Then,

∠B=∠E

3y=6y-12

3y-6y=-12

-3y=-12

y=4

You can write too:

AC=DF

7a+5=5a+9

7a-5a=9-5

2a=4

a=2

Therefore,

∠B=3y= 3* 4 =12

m∠E=6y-12=6*4-12=21-12=12

AC=7a+5= 7*2+5=14+5=19

DF=5a+9=5*2+9=10+9=19

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Answer:

Question 23: 39

Question 24: 10

Question 25: Airline B

Question 26: 20 to 50

Step-by-step explanation:

Answer:

I guess 25%..

Step-by-step explanation:

Solution,

Here,

Amount of decrease= $180 - $135

= $45

Now,

Percent of decreasement = $45/$180 × 100%

= 25%

Answer:

a.

Step-by-step explanation:

the area of a whole circle (360°) is

pi×r²

in our case

pi×10² = 100pi

but here we don't need the full circle. we only need a fraction of the whole circle : 128/360

so, the area of the sector is

100pi × 128/360 = 100pi × 16/45 = 20pi × 16/9 =

= 111.7010721... cm² ≈ 111.7 cm²

The statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.

To answert the question, we need to know what an atom is.

An atom is the smallest indivisible part of a substance. It is represented by letters.

So, since the atom of this radionuclide contains 31 protons and 36 neutrons.

So, its atomic number is 31. Its mass number is number of protons + number of neutrons = 31 + 36 = 67. Its symbol is superscript 67 and subscript 31.

So, the statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.

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Answer:

143.8 m²

Explanation:

Surface Area of cylinder = 2πr(r + h)

Here given,

Surface Area of cylinder:

⇒ 2π(1.6)(1.6+ 12.7)

⇒ 174.2955 m²

⇒ 143.8 m²        (rounded to nearest 1 decimal place)

Answer:

Answer:

One of these movies was an animated movie rated G for general audiences. Do you think it was movie A, B, or C?    

movie B

Which movie has a dot plot with ages that that center at about 30 years?    

movie C

What is a typical age for the people who were at Movie A?    

40

Step-by-step explanation:

I had the same question but I'm pretty sure that is the correct answer for it, sorry if I am wrong.

Answer:

C = 2(h - 1) + 0.80

Answer:

23

Step-by-step explanation:

Follow the PEMDAS order of operations

3 x (6 + 2) - 3 + 4 ÷ 2

Parenthesis (P):

(6 + 2) = (8)

Exponents (E):

none

Multiply/Divided (MD) left to right:

Multiply: 3 x 8 = 24

           = 24 - 3 + 4 ÷ 2

Divided: 4 ÷ 2 = 2

           = 24 - 3 + 2

Add/Subtract (AS) left to right:

Subtract: 24 - 3 = 21

            = 21 + 2

Add: 21 + 2 = 23

Using it's formula, it is found that the accuracy of the test was of 0.85 = 85%.

The accuracy of a test is given by the number of correct results divided by the number of results.

In this problem, there are 80 tests, and of those, 5 + 7 = 12 had incorrect results, hence 68 had correct results.

Hence the accuracy of the test is given by:

a = 68/80 = 0.85 = 85%.

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Answer: No solutions

Step-by-step explanation:

    There are no solutions to 0 = x² - x + 1.

[Method One]

   We can solve this by rewriting the equation, but it is quicker to graph it when there are no solutions. See attached.

[Method Two]

 I said we can solve this by solving an equation, here it is. We will use the quadratic formula since the equation given is already in the proper form.

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\displaystyle x=\frac{1\pm\sqrt{(-1)^2-4(1)(1)} }{2(1)}[/tex]

[tex]\displaystyle x=\frac{1\pm\sqrt{-3} }{2}[/tex]

   -> Negative numbers don't have real square roots, so there is no solution

Answer:

16

Step-by-step explanation:

The volume of the solid that results, when the region enclosed by the curves, is revolved about the x-axis is 3.35 cubic units.

When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.

The function is given below.

y = - x² + 1

y = 0

Then the volume of the solid will be

[tex]\rm Volume = 2\int \pi y^2 dx\\\\\\Volume = 2 \int _0^1 \pi (-x^2 + 1)^2 dx\\\\\\Volume = 2 \pi \int _0^1 (x^4 - 2x^2 + 1)dx\\\\\\Volume = 2 \pi \left [ \dfrac{x^5}{5} - \dfrac{2x^3}{3} + x \right]^1_0\\\\\\[/tex]

On solving further, we have

Volume = 2π [(1/5 - 2/3 + 1) - 0]

Volume = 2π [8/15]

Volume = 3.35

Then the volume of the solid will be 3.35 cubic units.

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