Nine subtracted from y is at least - 28.

Answer:

0.0000889

Step-by-step explanation:

Conversion : -

1 mg = 0.00001 hg

8.90 mg

Multiply 8.90 with 0.00001 to convert to hg,

8.90 x 0.00001

= 0.000089 hg

Answer:

??? 208 ???

Step-by-step explanation:

Answer:

Answer:

208

Step-by-step explanation:

The general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base.

Answer: A. Controlled experiment

Answer:

C

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

The quotient of 455 ÷ 36 is 12 with a remainder of 23.

It should be noted that the subtraction of 360 from 455 will be 95.

Then after that 72 is subtracted from 95 and this will be 23.

Therefore, the quotient is 12 with a remainder of 23.

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Answer: \(4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}\) .

Step-by-step explanation:

The given expression: \(\sqrt{\dfrac{16n}{m^3}}\)

'

since \(16=4^2\)

\(m^3=m^{2+1}= m^2\times m\)   [\(a^{n+m}=a^n\times a^m\)]

Now, the given expression becomes,

\(\sqrt{\dfrac{4^2n}{m^2\timesn}}=\dfrac{4\sqrt{n}}{m\sqrt{m}}\)

Since there is root in denominator , so we need to rationalize

\(\dfrac{4\sqrt{n}}{m\sqrt{m}}\times\dfrac{\sqrt{m}}{\sqrt{m}}=\dfrac{4\sqrt{mn}}{m\times\sqrt{m}\times\sqrt{m} }\\\\=\dfrac{4\sqrt{mn}}{m\times m}\\\\=\dfrac{4\sqrt{mn}}{m^2}\)

Hence, the correct option is \(4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}\) .

Answer:

a, b and f

both arent proportianal or it would line up

but m is linear(straight) whil n isnt because it curves

and  they both do increase

You said:

Answer:

A B F if not a and d

Step-by-step explanation:

Answer:

2147483648

Step-by-step explanation:

The pattern being used is x4.

8 x 4 = 32

32 x 4 = 128

128 x 4 = 512

512 x 4 = 2048

2048 x 4 = 8192

8192 x 4 = 32768

32768 x 4 = 131072

131072 x 4 = 524288

524288 x 4 = 2097152

2097152 x 4 = 8388608

8388608 x 4 = 33554432

33554432 x 4 = 134217728

134217728 x 4 = 536870912

536870912 x 4 = 2147483648

The particular antiderivative that satisfies the given condition is: C(x) = (4/9)x^4 - (9/8)x^3 + K1x + 2000

To find the particular antiderivative (or integral) of the given derivative \(C''(x) = 4x^2 - 3x\)  that satisfies the condition C(0) = 2000, we need to integrate the given function twice.

First, we integrate C''(x) to find C'(x):

\(C'(x) = ∫ (4x^2 - 3x) dx\)

To find the antiderivative of \(4x^2\), we use the power rule for integration: the power of x increases by 1 and is divided by the new power. Similarly, the antiderivative of -3x is \(-(3/2)x^2\).

\(C'(x) = ∫ (4x^2 - 3x) dx = (4/3)x^3 - (3/2)x^2 + K1\)

Here, K1 is the constant of integration. Next, we integrate C'(x) to find C(x):

\(C(x) = ∫ (C'(x)) dx = ∫ ((4/3)x^3 - (3/2)x^2 + K1) dx\)

To find the antiderivative of \((4/3)x^3\), we again use the power rule for integration. Similarly, the antiderivative of \(-(3/2)x^2\) is \(-(3/2)(1/3)x^3\).

The constant of integration K1 will also be integrated with respect to x, resulting in another constant of integration, K2.

\(C(x) = (1/3)(4/3)x^4 - (1/2)(3/2)x^3 + K1x + K2\)

Simplifying further, we have:

\(C(x) = (4/9)x^4 - (9/8)x^3 + K1x + K2\)

Now, we can apply the initial condition C(0) = 2000 to find the particular solution for K2:

\(C(0) = (4/9)(0)^4 - (9/8)(0)^3 + K1(0) + K2 = 2000\)

Since all the terms involving x become zero when x = 0, we have:

K2 = 2000

Therefore, the particular antiderivative that satisfies the given condition is: \(C(x) = (4/9)x^4 - (9/8)x^3 + K1x + 2000\)

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Answer:

1 star = 4 points

1 heart = 3 points

Step-by-step explanation:

3 stars (each star is 4 points) = 3 x 4 = 12

5 hearts (each heart is 3 points) = 5 x 3 = 15

12 + 15 = 27

This applies to the other eaxmple as well.

34% of the data in a normal distribution is more than 1 standard deviation above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.

To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.

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Answer:

Step-by-step explanation:So, in the form of (W)(x+c)^2+n,

Answer:

Plugged this into my calculator and got this

cos 75 = 0.2588190451

13. The nth term of the given sequence is ∂n = (2n-1)/n².

14. The nth term of the given sequence is ∂n = (n + 7)/(n + 8).

13. The given sequence is defined by ∂n = (2n-1)/n². This is a fractional sequence where the numerator increases by 2 for each term and the denominator is the square of the term number n.

The nth term is represented by ∂n = (2n-1)/n². For example, when n = 1, the first term is ∂1 = (2(1)-1)/(1²) = 1/1 = 1.

Similarly, for n = 2, the second term is ∂2 = (2(2)-1)/(2²) = 3/4.

Therefore, the nth term of the sequence is given by ∂n = (2n-1)/n².

14. The given sequence has a pattern where the numerator starts at 7 and increases by 1 for each term, while the denominator starts at 8 and increases by 1 for each term.

The nth term can be represented as ∂n = (n + 7)/(n + 8).

For instance, when n = 1, the first term is ∂1 = (1 + 7)/(1 + 8) = 8/9.

Similarly, for n = 2, the second term is ∂2 = (2 + 7)/(2 + 8) = 9/10.

Hence, the nth term of the sequence is given by ∂n = (n + 7)/(n + 8).

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a) i)P(X > 18)= 0.65542

ii)P(7 < X < 15)=0.154

b)The value of a using the standard normal table or a calculator is 12.875

c)the value of b using the standard normal table or a calculator is 9.8

a) Let X be the normal random variable with mean μ = 20 and standard deviation σ = 5. We have to find P(X > 18) and P(7 < X < 15).

(i) P(X > 18)

This can be calculated using the standard normal table or a calculator as follows:

z = (18 - μ)/σ

= (18 - 20)/5

= -0.4

P(X > 18) = P(Z > -0.4)

= 1 - P(Z ≤ -0.4).

Using the standard normal table or a calculator, P(Z ≤ -0.4) = 0.34458

Therefore, P(X > 18) = 1 - 0.34458 = 0.65542

(ii) P(7 < X < 15). This can be calculated using the standard normal table or a calculator as follows:

z₁ = (7 - μ)/σ

(7 - 20)/5 = -2.6z₂

(15 - μ)/σ = (15 - 20)/5

= -1

P(7 < X < 15) = P(-2.6 < Z < -1)

= P(Z < -1) - P(Z < -2.6)

Using the standard normal table or a calculator,

P(Z < -1) = 0.15866P(Z < -2.6) = 0.00466

Therefore, P(7 < X < 15) = 0.15866 - 0.00466 = 0.154

b) We have to find the value of a such that

P(20 - a < X < 20 + a) = 0.99.

This can be calculated as follows:

z₁ = (20 - a - μ)/σ

= (20 - a - 20)/5

= -a/5z₂ = (20 + a - μ)/σ

= (20 + a - 20)/5 = a/5

We need to find a such that

P(z₁ < Z < z₂) = 0.99

Using the standard normal table or a calculator,

P(Z < z₂) - P(Z < z₁) = 0.99P(Z < a/5) - P(Z < -a/5) = 0.99

This can be rewritten as

P(Z < a/5) - [1 - P(Z < a/5)] = 0.99P(Z < a/5) - P(Z < -a/5) = 0.995

From the standard normal table or a calculator,

P(Z < 2.575) = 0.995P(Z < -2.575) = 0.005

Therefore,

2.575 = a/5 or -2.575 = -a/5a = 12.875

Therefore, the value of a is 12.875.

c) We have to find the value of b such that P(20 - b < X < 20 + b) = 0.95.

This can be calculated as follows:

z₁ = (20 - b - μ)/σ

= (20 - b - 20)/5

= -b/5z₂

= (20 + b - μ)/σ

= (20 + b - 20)/5 = b/5

We need to find b such that

P(z₁ < Z < z₂) = 0.95

Using the standard normal table or a calculator,

P(Z < z₂) - P(Z < z₁) = 0.95P(Z < b/5) - P(Z < -b/5) = 0.95

This can be rewritten as

P(Z < b/5) - [1 - P(Z < b/5)] = 0.95P(Z < b/5) - P(Z < -b/5) = 0.975

From the standard normal table or a calculator,

P(Z < 1.96) = 0.975P(Z < -1.96) = 0.025

Therefore,1.96 = b/5 or -1.96 = -b/5b = 9.8

Therefore, the value of b is 9.8.

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Explanation:

The two points (0,0) and (2,1) are on the line. Apply the slope formula to them to get the following

m = (y2-y1)/(x2-x1)

m = (1-0)/(2-0)

m = 1/2

This indicates that each time you go up 1 unit, you must move to the right 2 units.

Slope = rise/run = 1/2

rise = 1, run = 2

Answer:

The product of powers property says that when we multiply powers with the same base, we just have to add the exponents. So, xaxb = x(a + b). As you can see, we keep the base the same and add the exponents together.

Step-by-step explanation:

Answer:

0.04 mol/ Liter

Step-by-step explanation:

If you have 8.1 grams of NaOH in 5 L of solution, what is the molarity? (Round answers to the nearest hundredth)

The formula for molarity = Number of moles/ Volume in Liters

Step 1

Find the Number of moles of NaOH

We find the Molar mass of NaOH

Na = 23, O = 16, H = 1

Molar mass = 23 + 16 + 1 = 40 g/mol

Grams of NaOH in the solution = 8.1 grams

Number of moles = Mass/Molar mass

= 8.1 g/40 g/mol

= 0.2025 moles

Step 2

Molarity = 0.2025moles/ 5 L

= 0.0405 mol/ Liter

Approximately = 0.04 mol/L

Answer:

A

Step-by-step explanation:

An irrational number is one in which it cannot be represented as a fraction.

A) pi - 42.25 cannot be expressed as a fraction

B) 5.2 can be expressed as 26/5

C) 0/3 is already expressed as a fraction

D) 4.37124 can be expressed as 437124/100000

Answer:

y = 3

Step-by-step explanation:

This is a rectangle.

So, the opposite sides of the rectangle are equal.

Therefore,

2y + 4 = 10

Now let us solve for y.

First take 4 to the right side.

2y = 10 - 4

2y = 6

Now divide both sides by 2.

y = 3

Answer:

8 pack.

Step-by-step explanation:

For the 4 pack, price per roll =  2.04 / 4  =  £0.51

For the 8 pack, price per roll =  3.68 / 8  =  £0.46.

Answer:

Answer:

1) b⁵⁴

2) 7⁷

Step-by-step explanation:

When you have an exponent raised to an exponent, like in #1, you simply multiply the exponents.

When you are dividing two numbers with exponents and they have the same base, like in #2, you subtract the denominator exponent from the numerator exponent.

The value of the expression \(4\frac{1}{10}\times-4\times\frac{5}{12}\) is \(-6\frac{5}{6}\).

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

The given, expression is \(4\frac{1}{10}\times-4\times\frac{5}{12}\).

= (41/10) × (- 4) × (5/12).

= (41×-4×5)/(10×12).

= (-820/120).

= - 82/12.

= - 41/6.

= \(-6\frac{5}{6}\).

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Step-by-step explanation:

devide both sides on 3 and x=6

as u can see 3*6=18

u have to find a number hat when its multiplied on 3 equals 18

so x(the number were searching for) is 6

Answer:

x = 6

Step-by-step explanation:

1. Divide Both Sides By The Coefficient

18/3 = 3x/3

6 = x

2. Move the variable to the Left

x = 6

Topic: Mathematics 8, Pre-Algebraic Skills

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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A a gang of 17 bandits stole a chest of gold coins, using Chinese Remainder Theorem the smallest possible number of coins in the chest is given as 7.

The Chinese Remainder Theorem in Mathematics states that, assuming that n and the divisors are pairwise coprime, one may utilise the remainders of n's division by the product of these other numbers to get the unique remainder of n's division by n. (no two divisors share a common factor other than 1).

Apply Chinese Remainder Theorem we get,

x≡3(mod17),

So, (x-3) is divided by 17

so, x = 20

x≡10(mod16),

(x-10) is divided by 16

x = 26

x≡4(mod11)

(x-4) is divided by 11

So, x = 15

x≡0(mod7)

(x-0) is divided by 7.

So, x=7

So smallest possible coin is 7.

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The solution to the system of first-order linear differential equations is given by Y₁(t) = C₁e^t and Y₂(t) = 312t + C₂, where C₁ and C₂ are constants.

We are given a system of first-order linear differential equations. The first equation is Y₁' = Y₁, which is a separable equation. We can solve it by separating variables and integrating both sides with respect to t:

∫(1/Y₁) dY₁ = ∫1 dt

ln|Y₁| = t + C₁

Y₁ = e^(t + C₁)

Y₁ = C₁e^t

The second equation is Y₂' = 312, which is a simple linear equation. We can solve it by integrating both sides with respect to t:

∫dY₂ = ∫312 dt

Y₂ = 312t + C₂

Thus, the general solution to the system of differential equations is Y₁(t) = C₁e^t and Y₂(t) = 312t + C₂, where C₁ and C₂ are arbitrary constants. These constants are determined by initial conditions or additional information given in the problem. The solution represents a family of curves in the (Y₁, Y₂) plane, and specific solutions can be obtained by assigning values to C₁ and C₂.

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In the given set A = {6, 4, 1, {3, 0, 8}, {9} }, the element {3, 0, 8} is indeed present. The statement "{3, 0, 8} ∈ A" is true.

Set A contains several elements, including numbers and other sets. The element {3, 0, 8} is one of the elements in set A. It is a set itself, containing the numbers 3, 0, and 8 as its elements.

When determining whether an element is in a set, we check if it matches exactly with any of the elements in the set. In this case, the set A contains the element {3, 0, 8}, so the statement "{3, 0, 8} ∈ A" is true.

Therefore, the statement is true: "{3, 0, 8} ∈ A".

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