simplifying radicals pt.4 please help ASAP and explain if possible

Answer: 40

Step-by-step explanation:

The smallest number that all three numbers go into evenly is 40.

Therefore the LCM of 8, 11, and 20 is 40.

Answer:

440

Step-by-step explanation:

To find the Least common multiple (L.C.M) of 8, 11 and 20, it means that:

8 = 2,2,2

11 = 1, 11

20= 2,2,5

LCM of 8,11,20 = 2× 2 × 2 × 11 × 5

= 440

Answer:

C

Step-by-step explanation:

Find the difference between $94.79 and $89.00 then do (5.79/89)*100 which is 6.50561797753, then round the initial answer so you get 6.50

Have a great day <3

To determine the theoretical yield and percent yield of iron(II) nitrate in the given reaction, we need to calculate the amount of iron(II) nitrate that should be produced based on the stoichiometry of the reaction and compare it with the actual yield obtained.

From the balanced equation, we can see that the molar ratio between iron(II) chloride and iron(II) nitrate is 1:1. This means that the amount of iron(II) nitrate produced should be equal to the amount of iron(II) chloride used.

First, we need to convert the mass of iron(II) chloride used (5.51 grams) into moles. Using the molar mass of iron(II) chloride (FeCl2), which is 126.75 g/mol, we can calculate:

moles of FeCl2 = mass of FeCl2 / molar mass of FeCl2

Next, we compare the moles of iron(II) chloride to the moles of iron(II) nitrate based on the stoichiometry of the reaction. Since the ratio is 1:1, the moles of iron(II) nitrate produced should be equal to the moles of iron(II) chloride used.

Finally, we convert the moles of iron(II) nitrate back into grams by multiplying it by the molar mass of iron(II) nitrate (Fe(NO3)2), which is 179.85 g/mol. This gives us the theoretical yield of iron(II) nitrate.

The percent yield can be calculated by dividing the actual yield (6.01 grams) by the theoretical yield and multiplying by 100.

By performing these calculations, we can determine the theoretical yield and percent yield of iron(II) nitrate in the given reaction.

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Answer:

468

Step-by-step explanation:

The equation is: 51x² + y + 3​

Let's first find x.  It says x= 3, so let's subsitute that in.

51(3)² + y + 3​

3² is 9 because 3 times 3 is 9, which means:

51(9) + y + 3​.  

It is 51 times 9 and not 519 because x was supposed to be squared by itself and 51 was next to it.  When a number is close to another number, especially with parentheses, it wants you to multiply the two together.  

For example: 3(3) is 9 and 4(5) is 20.

Now that we found x, let's get y.  The problem states that y= 6...let's subsitute that in.  

51(9) + 6 + 3​.  

Now that we got all the variables out of the way, we can simplify!

51 times 9= 459

459+6+3 is the same thing as 459+9, since 6+3= 9.

459+15= 468  :)

the given expression is

= 3(5x +7 ) - 6(4 - 2x )

= 15x + 21 - 24 + 12x

= 27x - 3

thus the answer is 27x - 3, correct option is D

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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Answer:

steps

-5-5(-5/3)

=-5-(-25)

=10/3

=3 1/3

Step-by-step explanation:

Answer:

This might help you.....

Answer:

Step-by-step explanation:

Let the length of the side of the square be x

Perimeter of the square = 4x

Let the sides of the triangle be s1, s2 and s3

If each side of the triangle is 3 inches longer than each side of the square, then

s1 = x+3

s2 = x+3

s3 = x+ 3

Perimeter of the triangle P = s1+s2 + s3

If the square and thr triangle have the same perimeter then;

perimeter of square = perimeter of triangle

4x = s1+s2+s3

4x =  x+3+ x+3+ x+3

4x = 3(x+3)

Hence the required equation is 4x = 3(x+3) where x is the side of the square.

The equation of line B is y = (1/5)x + 0, which can be simplified to y = (1/5)x.

An equation is a statement that shows the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, exponentiation, or roots. An equation can be solved by finding the value(s) of the variable(s) that make the equation true. Equations are used extensively in mathematics, science, engineering, and other fields to describe relationships between different quantities and to make predictions or solve problems.

Here,

Since line B is perpendicular to line A, the product of their gradients is -1. Therefore, the gradient of line B is 1/5.

a) To find the y-intercept of line B, we need to know a point on the line. Since we don't have one, we can use the fact that the y-intercept is the point where the line intersects the y-axis. To find this point, we can set x = 0 in the equation of line B:

y = (1/5)x + c

0 = (1/5)(0) + c

c = 0

Therefore, the y-intercept of line B is (0,0).

b) The equation of line B is y = (1/5)x + 0, which can be simplified to y = (1/5)x.

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The null hypothesis has been true but the sample information has resulted in the rejection, when the Type I error has been made

The null hypothesis is that two possibilities are the same. The null hypothesis is that the observed difference is due to chance alone.

A type I error occurs if an investigator rejects a null hypothesis that is actually true in the population.
Hence, the null hypothesis has been true but the sample information has resulted in the rejection, when the Type I error has been made

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Given:

One variety of gift wrappers sells for 50 cents a sheet the other for 25 cents a sheet.

In dollars,

One variety of gift wrappers sells for 0.5 dollars a sheet the other for 0.25 dollars a sheet.

The assortment will cost $7.

Let x be the number of 50 cents sheets.

Let y be the number of 25 cents sheets.

It is also given that,

The number of 50 cents sheets is 3 times the number of 25 cent sheets.

x=3y ........ (1)

0.5x+0.25y=7 ....... (2)

Substitute (1) in (2) we get,

Hence, x=3(4)

x=12

So, the number 50 cents sheets are 12 and the number of 25 cents sheet is 4.

Hence, the age of his brother when brain is \(11\) is \(19.\)

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Brian is \(8\) and his brother is twice his age.

As age of brain is \(8\).

His brother is twices than his age is \(8(2)=16\)

When the age of brain is \(11\) then \(3\) added to his present age.

Then the age of his brother is \(16+3=19\)

Hence, the age of his brother when brain is \(11\) is \(19.\)

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Answer:

Step-by-step explanation:

\(\frac54(a-8)=\frac23\)                 multiply both sides by \(\frac45\)

\(\frac45\cdot\frac54(a-8)=\frac23\cdot\frac45\)

\(a-8=\frac8{15}\)                      add 8 to both sides

\(a=8\frac8{15}\)

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

The midsegment theorem indicates that the lengths of the segments are;

What is the midsegment theorem?

The midsegment theorem states that a segment drawn by joining the midpoints of two sides of a triangle is parallel to and half of the length of the third side of the triangle.

Whereby the segment BD is the midsegment of the triangle ACE, we get;

BD = (1/2) × AE

CD = (1/2) × CE (Definition of D the midpoint of CE)

BC = (1/2) × AC (Definition of B the midpoint of AC)

Therefore;

1. CD = (1/2) × CE ; If CD = 19 cm, then (1/2) × CE = CD = 19 cm

A. 19 cm

2. BD = (1/2) × AE; If BD = 21 cm

AE = 2 × BD = 2 × 21 cm = 42 cm

BD+ AE = 21 cm + 42 cm = 63 cm

B. 63 cm

3. BD = (1/2) × AE; If BD = 2·x - 1, AE = x + 4, we get;

2·x - 1 = (1/2) × (x + 4) = x/2 + 2

2·x - 1 = x/2 + 2

2·x - x/2 = 2 + 1 = 3

(3·x/2) = 3

x = 3 × 2/3 = 2

BD = 2 × 2 - 1 = 3

C. 3

4.  BD = (1/2) × AE; If AE = 32 cm, then (1/2) × BD is; (1/2) × (1/2) × 32 = 8

(1/2) BD = 8 cm

D. 8 cm

5. BC = (1/2) × CA; If CA = 56 cm, then BC = (1/2) × 56 cm = 28 cm

(1/2) × BC therefore is; (1/2) × 28 cm = 14 cm

A. 14 cm

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Answer:

Yes. |8|+|-7| = 15

Step-by-step explanation:

the absolute cancels out the -, so it would mean that -7 is now positive 7, so yes it'd be 15

(i) The relationship between the OLS estimators of α₂ and ᵝ₂ can be determined by considering the relationship between the consumption function and the savings function. Since X = Y + Z, we can substitute this into the consumption function equation to obtain Y = α₁ + α₂(Y + Z) + e. Simplifying the equation, we get Y = (α₁/(1 - α₂)) + (α₂/(1 - α₂))Z + (e/(1 - α₂)). Comparing this equation with the savings function Z₁ = ᵝ₁ + ᵝ₂X + u₁, we can see that the OLS estimator of ᵝ₂ is related to the OLS estimator of α₂ as follows: ᵝ₂ = α₂/(1 - α₂).

(ii) The residual sum of squares (RSS) will not be the same for the two models of Y₁ = α₁ + α₂X₁ + e and Z₁ = ᵝ₁ + ᵝ₂X₁ + u₁. This is because the error terms e and u₁ are different for the two models. The RSS is calculated as the sum of squared differences between the observed values and the predicted values. Since the error terms e and u₁ are different, the predicted values and the residuals will also be different, resulting in different RSS values for the two models.

(iii) The R² terms of the two models cannot be directly compared. R² is a measure of the proportion of the total variation in the dependent variable that is explained by the independent variables. Since the consumption function and the savings function have different dependent variables (Y and Z, respectively), the R² values calculated for each model represent the goodness of fit for their respective dependent variables. Therefore, the R² terms of the two models cannot be compared directly.

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Answer:

there are 400 meters in a track

400 times 12 = 4800

4800 divided by 1600 =3

Joyce ran 3 miles

Step-by-step explanation:

The required probability is P(A and B) = 2/36 = 1/18.P(A or B) = P(A) + P(B) - P(A and B) = (1/6) + (1/3) - (1/18) = 5/9

Two events are said to be mutually exclusive if they have no outcomes in common. The sum of probabilities for mutually exclusive events is always equal to 1.

A and B are not mutually exclusive events since the events may occur simultaneously.

The probabilities of A and B are as follows,

P(A) = the probability that they are equal = 6/36 = 1/6 since each number on one dice matches with a particular number on the other dice.

P(B) = the probability that their sum is a multiple of 3.

A sum of 3 and 6 are possible if the 2 numbers that come up on each die are added.

Therefore, the possible ways to obtain a sum of a multiple of 3 are 3 and 6. The following table illustrates the ways in which to obtain a sum of a multiple of 3.  {1,2}, {2,1}, {2,4}, {4,2}, {3,3}, {1,5}, {5,1}, {4,5}, {5,4}, {6,3}, {3,6}, {6,6}

Therefore, P(B) = 12/36 = 1/3 since there are 12 ways to obtain a sum that is a multiple of 3 when 2 number cubes are thrown.

To determine P(A or B), add the probabilities of A and B and subtract the probability of their intersection (A and B).

We can write this as,

P(A or B) = P(A) + P(B) - P(A and B)Let's calculate the probability of A and B,

Both dice must show a 3 since their sum must be a multiple of 3.

Therefore, P(A and B) = 2/36 = 1/18.P(A or B) = P(A) + P(B) - P(A and B) = (1/6) + (1/3) - (1/18) = 5/9

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Answer:

260

Step-by-step explanation:

By PEMDAS, we know multiplican comes first. 53*5=265. Then, subtract 5 to get 260.

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Answer:

260

Step-by-step explanation:

the rule is to start with multiplication first 53*5=265 then subtract 5

53 × 5-5= 265-5=260

Answer:

Step-by-step explanation:

Take you ruler and draw a horizontal line from point (0,-2)

When you do, the point where y = -2 is when x = - 3

Answer:

x = -3

Step-by-step explanation:

the question asks for what x the function = -2

if you imagine horizontal line passing through -2 then you cann see that it crosses graph when x = -3 and 0

Answer:

3+2= 5

5+5=10

Step-by-step explanation:

your answer is 10

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:

Present Value = Future Value / (1 + Discount Rate)^n

Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)

Plugging in the given values into the formula:

Present Value = $12,200 / (1 + 0.05)^4

Calculating the exponent first:

(1 + 0.05)^4 = 1.05^4 = 1.21550625

Dividing the future value by the calculated exponent:

Present Value = $12,200 / 1.21550625

Calculating the present value:

Present Value = $10,027.51

Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

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Answer

Check Explanation

Explanation

A function is an expression that takes up each value of an independent variable (x) and gives a corresponding value of a dependent variable (y) without the same values of the independent variable (x) giving different values of the dependent variable (y).

So, if a given group of data shows the same values of x that give different values of y, that relation is not a function.

Hope this Helps!!!

I hope this is help full to u

thank you

Answer:

x = 3.8

Step-by-step explanation:

take 53 degree as reference angle

using cos rule

cos 53 = adjacent/hypotenuse

0.60 = x /6.3

0.60*6.3 = x

3.78 = x

3.8 = x ( after converting the answer to nearest tenth)

Answer:

y = 4/3 x - 3.

Step-by-step explanation:

III

y - 5 = 4/3(x - 6)

y = 4/3(x - 6) + 5

y = 4/3 x - 8 + 5

y = 4/3 x - 3.

Answer:

The answer is A

Step-by-step explanation:

55mi x   1hr    x   1min  x 1.61*103m = 24.6m/s

1 hr     60min      60sec        1mi

And then you round 24.6 to 25 so your answer is A