If there are 2mg in every ml of this medication, how many mg is there in 20ml of this medication

Answer:

5

Step-by-step explanation:

in similar figures the side lengths must be proportional:

4/8 = x/10 cross multiply fractions

40 = 8x divide both sides by 8

5 = x

Answer:

1/2 is the answer.................

Answer:

C. 2/3

Step-by-step explanation:

The coordinates of vertex D in the parallelogram are (-7, -10).

We have,

To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.

One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.

Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:

Find the vector representing one of the sides of the parallelogram.

We can use the vector AB.

Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)

= (6 - 8, -4 - 2)

= (-2, -6)

Add this vector to point C to find the coordinates of D.

Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)

= (-5 - 2, -4 - 6)

= (-7, -10)

Therefore,

The coordinates of vertex D are (-7, -10).

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Answer:

it is 48.75

Step-by-step explanation:

Answer:

16:1 is what I think you are asking for

Step-by-step explanation:

correct Ans:

P(H) = 0.60

P(W | H) = P(H and W)/P(H)=

0.33

0.20/0.60

my mistake:

P(H and W) = 0.20

Answer:

Step-by-step explanation:

The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger. To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list.

The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

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Answer:

A right prism has a triangular base .

Length of the base of prism is 9 feet

Height of the base is 8 feet

Height of prism is 2.5 feet

We have been asked to determine the volume of the prism .

\(\\ \bullet{\boxed{ \purple{\bf{ volume \: of \: prism= \: triangular \: base \: area \: \times length }}}}\)

Put the value we obtain

\( \sf \implies \: volume \: of \: prism \: = \bigg(\dfrac{1}{2} \times 9 \times 8 \bigg) \times 2.5 \\ \\ \sf \implies \: volume \: of \: prism \: = 9 \times 4 \times 2.5 \\ \\ \sf \implies \: volume \: of \: prism \: = 36 \times 2.5 \\ \\ \sf \implies \: volume \: of \: prism \: = 90 {feet}^{3} \)

So, the volume of the prism is 90 feet³ .

Your Correct option is 90 ft

Answer:

90 ft 3

Step-by-step explanation:

Answer:

I think its 2/3 x 9

Step-by-step explanation:

My apologies if that isn't correct!

The counterexample for the conditional statement "If two positive numbers are multiplied together, then the product will be greater than both of the two positive numbers" will be 2/3 x 9.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.

It is given if the two positive numbers are multiplied together, then the product will be greater than both of the two positive numbers.

If the two positive numbers are x and y from the given condition,

xy > x

xy> y

The two numbers are obtained as  2/3 and 9.

=2/3 x 9

=6

Thus, the counterexample for the conditional statement "If two positive numbers are multiplied together, then the product will be greater than both of the two positive numbers" will be 2/3 x 9.

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\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

Answer:

Y = 7/{3^(x+1)}

The number 7 is constant in the relation

The denominator is increasingly exponentially with the number 3 as i

So april has 30 days and we know that 3/5 of those days were sunny. Then the number of sunny days in april was:

So there wer 18 sunny days in april. This means that the rainy days are given by:

Then the answer is 12 days.

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

Answer:

z is greater than 27/14

z € ( 37/14 ∞)

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

Question A is the survey that you expect to have fair results regarding attitudes about carnivals

This survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.

Option B uses the adjective "exciting," which could lead people to think positively about carnivals.

Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.

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Answer:

d. x-700=35

Step-by-step explanation:

The statement says that the variations will stay within a range of +5%, so the resistance can be increased by 5% of 700 ohms. To find the highest resistance that can be achieved, you can use the formula:

x = 700 + (700 * 5%) = 700 + 35 = 735 ohms

To find the lowest resistance that can be achieved, you can subtract the same percentage (5%) of 700 ohms:

x = 700 - (700 * 5%) = 700 - 35 = 665 ohms

So the lowest and highest resistance that can be achieved are 665 ohms and 735 ohms respectively.

Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, and has variance given by:

\(V(X) = np(1 - p)\)

In this problem:

The variance is given by:

\(V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7\)

The variance of the number that pass inspection in one day is 5.7.

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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

\(\boxed{\tt \pink{Given:}}\)

\(\red\star\)Diameter of base of a cylinder = 20 cm.

\(\red\star\)Height of cylinder = 5cm.

\(\\\\\)

\(\boxed{\tt \pink{To~Find:}}\)

\(\red\star\)Volume of Cylinder.

\(\\\\\)

\(\boxed{\tt \pink{Solution}}\)

To find volume of Cylinder first we should know radius of Cylinder. We can get radius by diameter using this formula:-

\(\boxed{\rm Diameter = 2 radius}\)

\(\\\\\)

\(\hookrightarrow\sf Diameter = 2 radius\)

\(\\\)

\(\hookrightarrow\sf 20= 2 radius\)

\(\\\)

\(\hookrightarrow\sf \dfrac{20}{2}= radius\)

\(\\\)

\(\hookrightarrow\sf \dfrac{2\times10}{2}= radius\)

\(\\\)

\(\hookrightarrow \sf \dfrac{\cancel2\times10}{\cancel2}= radius\)

\(\\\)

\(\hookrightarrow \sf \dfrac{1\times10}{1}= radius\)

\(\\\)

\(\hookrightarrow \sf 10= radius\)

\(\\\)

\(\hookrightarrow \bf radius = \pmb{\blue{10 cm}}\)

\(\\\\\)

Now Finally Let's find volume of Cylinder.

we know:-

\(\boxed{\rm Volume ~ of ~ Cylinder = \pi radius^2 \times height}\)

\(\\\\\)

So:-

\(\dashrightarrow\sf Volume ~of ~Cylinder = \pi radius^2\times height\\\)

\(\\\\\)

\(\dashrightarrow\sf Volume ~of ~Cylinder = \pi (10)^2\times 5\\\)

\(\\\\\)

\(\dashrightarrow\sf Volume ~of ~Cylinder = \pi 10\times10\times5\\\)

\(\\\\\)

\(\dashrightarrow\sf Volume ~of ~Cylinder = \pi 100\times5\\\)

\(\\\\\)

\(\dashrightarrow\sf Volume ~of ~Cylinder = \pi\times 500\\\)

\(\\\\\)

\(\dashrightarrow\sf Volume ~of ~Cylinder = \dfrac{22}{7}\times 500\\\)

\(\\\\\)

\(\dashrightarrow\sf Volume ~of ~Cylinder = \dfrac{11000}{7}\\\)

\(\\\\\)

\(\dashrightarrow\bf Volume ~of ~Cylinder =\pmb{\blue{1,571.4~cm}}\\\)

\(\begin{gathered}\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc}\small\underline{\sf{\pmb{ \gray{More \: Formulae}}}} \\ \\ \bigstar \: \bold{CSA_{(cylinder)} = 2\pi \: rh}\\ \\\bigstar \: \bold{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bold{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bold{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar\: \bold{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bold{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bold{Volume_{(cube)} ={(side)}^{3} }\\ \\ \bigstar \: \bold{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bold{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\\bigstar \: \bold{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bold{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bold{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\)

The greatest common factor of the expression is 4m⁴.

GCF simply means the greatest common factor.

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Hence,

56m⁵

68m⁴

The greatest common factor of the expression  is the largest positive expression that divides evenly into all numbers with zero .

Hence, the greatest common factor is 4m⁴

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Answer:

2/3

Step-by-step explanation:

sinθ is opposite/hypotenuse (soh cah toa)

If given what sinθ is, you have the opposite leg to θ and the hypotenuse. It helps to draw a triangle. You can figure out the adjacent leg using the pythagorean theorem. \(3^{2}\)-\((\sqrt{5} )^{2}\) = 4

Square root 4 to find the adjacent leg, 2.

To find cosθ, which is adjacent over hypotenuse, substitute in the respective numbers, which gives you 2/3.

The unknown quantity is 512.14 percent, that is 512.14% of 140 is 717

According to the question the formula that we have to use is

                                                   R*B = A        (1)

And we have been given that

                              x%  of 140 = 717          (2)

Thus we have to find the x percent. Comparing equation (1) and (2) we get,

                R =  x%

                B = 140

                A = 717

Therefore to find the value of R we will use the formula,  R = A/B

Thus,   x% = 717/140

           x % = 5.12

           x = 512.14

Hence the unknown quantity is 512.14 percent that is, 512.14% of 140 is 717

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Answer:

Step-by-step explanation:

ur mom

Answer:

13.996 or 14 yd

Step-by-step explanation:

volume of a cylinder = piR^2 * h

solve for R

R = (V/pi*H)^0.5

Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.