12 and 3/6 -5 and 2/12

\(\color{plum}\tt \: Answer \: \: part \: \: 1 :\)

All cubes have six faces. Likewise, the cube shown above also has 6 faces.

\(\color{plum}\tt \: Answer \: \: part \: \: 2 :\)

Length of side of one face of cube = 3 inches

Area of one face :

= Side × Side

= 3 × 3

= 9 inch²

Therefore, the area of one face of this cube = 9 inch²

\(\color{plum}\tt \: Answer \: \: part \: \: 3 :\)

Area of cube = sum of the area of all faces

Then, the area of this cube :

\( = 9 + 9 + 9 + 9 + 9 + 9\)

\( = 9 \times 6\)

\( = 54 \: \: {inches}^{2} \)

Therefore, the area of this cube = 54 inches²

Answer: 54

Step-by-step explanation:

Answer:

2(n+18)

18(2+n)

2•(18•n)

I hope this helps

The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).

Given expression is,

[15 / (x - 6)] + [7 / (x + 6)]

Cross multiplying the two fractional expressions,

= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]

= [15x + 90 + 7x - 42] / [x² - 6²]

= (22x + 48) / (x² - 36)

Hence the equivalent expression is D.

Learn more about Expressions here :

https://brainly.com/question/28170201

#SPJ1

Answer:

16

Step-by-step explanation:

Printers : 2, 4, 8, 16

Computers : 5, 10, 20, 40

Hope this helps! Please leave any questions or concerns in the comments! byeee <3

According to the information, we can infer that the area of this polygon is 34 units².

To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.

Rectangle 1

6 * 3 = 18

Rectangle 2

2*4=8

Triangle 1

2 * 4 / 2 = 4

Triangle 2

2 * 4 / 2 = 4

Total Area

18 + 8 + 4 + 4 = 34

Based on the above, we can infer that the total area of the polygon is 34 ² units.

Learn more about polygons in: https://brainly.com/question/24464711

#SPJ1

Answer:

so simple! n÷4=remainder 3.

2n÷4=3×2=6.

HOPE THIS HELPS AND PLSSS PLSSS MARK AS BRAINLIEST

THNXX :)

The value of iⁿ is -1 \(i^n\) = \(-i\).

Complex numbers are numbers which are of the form \(a + ib\), where a and b are real numbers and i is the imaginary number called iota whose value is \(i^2\) = -1.

We have to find the value of iⁿ if the remainder of  n/4 is 3.

The remainder of n/4 is 3 means that the value of n is 1 less than the multiple of 4.

When 1 is taken less to any of the multiple of 4, then the number will be an odd number.

So n is an odd number.

Now, the value of \(i^2\) = -1.

\(i^3\) = \(i^2\) × \(i\) = \(-i\)

\(i^4\) = \(-i\) × \(i\) = \(-i^2\) = 1

From the pattern it is seen that any number, n which is 1 less than the multiple of 4 will have, \(i^n\) = \(-i\).

Hence the value of \(i^n\) = \(-i\).

Learn more about Complex Numbers here :

https://brainly.com/question/11230333

#SPJ2

Answer:

yes no what yes no what yesp

Answer:

so ya 4 kg 600 1 kg

= 600÷4 = 150 rs

Answer:

a. 17.18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

w = 17

x = 29

z = 8

w + (1/x) + (1/z)

Step 2: Evaluate

The expressions which could be used to represent how much Leila pays in total for the model is 1.07x

Total = x + (7% of x)

= x + (0.07 × x)

= x + 0.07x

= 1.07x

Therefore, the expressions which could be used to represent how much Leila pays in total for the model is 1.07x

Learn more about algebra:

https://brainly.com/question/4344214

#SPJ1

Answer:

Number 7: \(m=\frac{6}{4}\)

This graph displays the change in wage per years of service. Since the slope is positive, this means the wage has a positive growth.

Number 8: \(m=\frac{-400}{3}\)

This graph displays the amount of people evacuating per hour. Since the slope is negative, this means the amount of people evacuating per hour is reducing.

Step-by-step explanation:

Number 7:

Step 1: Identify the points on the line to use for slope formula.

The two points are (2, 11) and (6, 17).

\(x^1\) and \(y^1\) will be \((2,11)\)

\(x^2\) and \(y^2\) will be \((6, 17)\)

Step 2: Plug in points into slope formula.

\(m=\frac{y^2-y^1}{x^2-x^1}\)

\(m=\frac{17-11}{6-2}\)

Step 3: Subtract.

\(m=\frac{6}{4}\)

Step 4: Simplify.

improper fraction: \(\frac{3}{2}\)

mixed number: \(1\frac{1}{2}\)

decimal: \(1.5\)

Number 8:

Step 1: Identify the points on the line to use for the slope formula.

The two points are (3, 1200) and (6, 800)

\(x^1\) and \(y^1\) will be \((3,1200)\)

\(x^2\) and \(y^2\) will be \((6, 800)\)

Step 2: Plug in points into slope formula.

\(m=\frac{y^2-y^1}{x^2-x^1}\)

\(m=\frac{800-1200}{6-3}\)

Step 3: Subtract.

\(m=\frac{-400}{3}\)

Step 4: Simplify.

Cannot be simplified further.

mixed number: \(m=\frac{-400}{3}\)

decimal: \(133.333333333\)

Heh- i saw u like 5 times already today

the best way to solve this is using a system. let's pretend the two numbers we have are notated using the variables x and y.

our first equation is this:

x + y = -46. the sum of the two numbers x and y is -46.

our first equation is this:

x + 13 = y. here, the variable doesn't really matter. so, what this says is that y is 13 greater than x.

now, you know how to represent y in terms of x. plug the second equation into the first and you get this:

x + ( x + 13) = -46.

solve this:

2x + 13 = -46

2x = -59

x = -29.5

now, we know what x equals. using the second equation we created,

x + 13 = y, we can figure out what y equals. so, let's plug x in.

-29.5 + 13 = y

y = -16.5

you've got x and y now! i hope i helped you.

xoxo

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

For more questions on Compounded .

https://brainly.com/question/31474686

#SPJ8

Answer:

24 degrees

Step-by-step explanation:

6x = x+120 (vertically opposite angles)

6x-x=120

5x=120

x=120/5

= 24

Answer:

Yes

Step-by-step explanation:

g(x) = 1/4 x

g(x) = x/4

f(x) = 4x

If you plugin f(x) in g(x) and g(x) into f(x), you should get x:

f(g(x))=

4(g(x)= => plugin g(x) for x in f(x)

4(x/4)=

4*x/4=x √

g(f(x))=

f(x)/4= ==> plugin f(x) for x in g(x)

4x/4 = x√

Hence, f(x) and g(x) are inverse of each other.

Answer:

a) A. The relevant variable is the population mean work week (in hours) for workers aged 18-25.

b) Null hypothesis:\(\mu \leq 40\)  

Alternative hypothesis:\(\mu > 40\)  

c) \(t=\frac{45.6-40}{\frac{14.6}{\sqrt{893}}}=11.46\)    

The p value for this case would be:

\( p_v = P(t_{110} >11.46) \approx =0\)

d) Since the p value is a very low value we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case exceeds 40 hours.

Step-by-step explanation:

Information provided

\(\bar X=45.6\) represent the sample mean

\(s=14.6\) represent the sample standard deviation

\(n=893\) sample size  

\(\mu_o =40\) represent the value to verify

t would represent the statistic  

\(p_v\) represent the p value

a. Identify the relevant and parameter variable. Choose the correct relevant variable below.

A. The relevant variable is the population mean work week (in hours) for workers aged 18-25.

b. State the null and alternative hypotheses. State the null hypothesis.

We want to verify if the population mean is higher than 40, the system of hypothesis would be:  

Null hypothesis:\(\mu \leq 40\)  

Alternative hypothesis:\(\mu > 40\)  

c. Calculate the statistic

\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\)  (1)  

Replacing the info given we got:

\(t=\frac{45.6-40}{\frac{14.6}{\sqrt{893}}}=11.46\)    

The p value for this case would be:

\( p_v = P(t_{110} >11.46) \approx =0\)

d. Conclusion

Since the p value is a very low value we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case exceeds 40 hours.

Answer:

hmm are they options.

Step-by-step explanation:

if so I would say c

Answer:

v=pi×r^2×h so the answer is 452.16

The standard deviation of the sample is 0.63

What is standard deviation?

A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

To find the standard deviation of the sample, we need to first find the mean of the distribution. The mean of a distribution is given by the expected value of the random variable, which can be calculated as follows:

       \(E[X] = \int\limits {xf(x)dx}\)

Substituting the given pdf for f(x), we get:

     \(E[X] = \int\limits {x(x2 + Źosxs1)dx}\)

Evaluating the integral, we get:

   \(E[X] = (x3/3) + (Źosxs2/2) |0\\\\ E[X] = (1/3) + (0/2)\\\\ E[X] = 1/3\)

Next, we need to find the variance of the distribution. The variance of a distribution is given by the expected value of the squared deviation of the random variable from its mean, which can be calculated as follows:

\(Var[X] = E[(X - E[X])2]\)

Substituting the value of E[X] that we just found, we get:

Var[X] = E[(X - (1/3))2]

Var[X] = ∫((x - (1/3))2)(x2 + Źosxs1)dx

Evaluating the integral, we get:

Var[X] = ((x - (1/3))2)(x2 + Źosxs1) |0

Var[X] = ((1 - (1/3))2)(1 + 0) - ((0 - (1/3))2)(0 + 0)

Var[X] = (4/9)(1) - (1/9)(0)

Var[X] = 4/9

Finally, the standard deviation of the distribution is the square root of the variance, which is:

\(Std\ Dev[X] = \sqrt{Var[X]}\\\\ Std\ Dev[X] = \sqrt{(4/9) } \\\\Std\ Dev[X] = 0.63\)

Rounding off to the second decimal place, the standard deviation of the sample is 0.63.

Hence, The standard deviation of the sample is 0.63

To know more about standard deviation visit,

https://brainly.com/question/475676

#SPJ4

Answer:y=-6x-1

Step-by-step explanation:

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To know more about Confidence interval visit: https://brainly.com/question/29680703

Answer:

65

Step-by-step explanation:

Joshua has 390 photos, you need to divide that number by the each amount of photos in each page to figure out how many pages he needs to paste all them.

So you'd divide it like. 390 / 6


And that gives you 65.

Answer:

65

Step-by-step explanation:

It is 360 divided by 6 and you will get 65 (if you need help with long division contact me)

Answer:

63%

Step-by-step explanation:

Given the following :

Average cholesterol level or mean (m) = 194

Standard deviation (sd) = 15

what percentage of children have a cholesterol level lower than 199?

P(X < 199)

Assume a normal distribution :

Find the z-score :

Z = (score - mean) / standard deviation

Score = 199

Z = (199 - 194) / 15

Z = 5 / 15

Z - score = 0.3333

P(Z < 0.33) :

Using the z - table ; 0.33 = 0.6293

P(Z < 0.33) = 0.6293

0.6293 * 100% = 62.93%

= 63% (nearest whole percent)

Answer:

8.8 per plate is the correct answer.

Answer:

\(sin(A - B) = \frac{4}{5}\)

Step-by-step explanation:

Given:

\(sin(A) = \frac{24}{25}\)

\(sin(B) = -\frac{4}{5}\)

Need:

\(sin(A - B)\)

First, let's look at the identities:

sum: \(sin(A + B) = sinAcosB + cosAsinB\)

difference: \(sin(A - B) = sinAcosB - cosAsinB\)

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = \(\frac{24}{25}\)

cos(A) = \(\frac{7}{25}\)

sin(B) = \(-\frac{4}{5}\)

cos(B) = \(\frac{3}{5}\)

Plug these values into the difference identity formula.

\(sin(A - B) = sinAcosB - cosAsinB\)

\(sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})\)

Multiply.

\(sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})\)

Add.

\(sin(A - B) = \frac{4}{5}\)

This is your answer.

Hope this helps!

Answer:

\(\mathsf {sin (A - B) =\frac{4}{5} }\)

Step-by-step explanation:

\(\textsf {Trigonometric Identities to keep in mind :}\)

\(\textsf {To find cos A and cos B, we can use the Pythagorean Theorem} \\\textsf {to find the missing sides so we can take the ratio.}\)

\(\textsf {Finding the adjacent side of angle A :}\)

\(\implies \mathsf {24^{2} + x^{2} = 25^{2} }\)

\(\implies \mathsf {x^{2} = 625 - 576 }\)

\(\implies \mathsf {\sqrt{x^{2} } = \sqrt{49} }\)

\(\implies \mathsf {x = 7}\)

\(\textsf {Hence, cos A will be :}\)

\(\implies \textsf {cosA = 7/25 (as cos is positive in the 1st Quadrant)}\)

\(\textsf {Finding the adjacent side of angle B :}\)

\(\implies \mathsf {4^{2} + x^{2} = 5^{2} }\)

\(\implies \mathsf {x^{2} = 25 - 16 }\)

\(\implies \mathsf {\sqrt{x^{2} } = \sqrt{9} }\)

\(\implies \mathsf {x = 3}\)

\(\textsf {Hence, cos B will be :}\)

\(\implies \textsf {cos B = 3/5 (as cos is positive in the 4th quadrant)}\)

\(\textsf {Finding sin (A - B) :}\)

\(\implies \mathsf {sin (A - B) = (\frac{24}{25} \times \frac{3}{5}) - (\frac{7}{25} \times -\frac{4}{5}) }\)

\(\implies \mathsf {sin (A - B) = \frac{72}{125} + \frac{28}{125}}\)

\(\implies \mathsf {sin (A - B) = \frac{100}{125} = \frac{4}{5} }\)

Hence the required quadratic equation is +13x+22.we can find by multiplying of given factor.

Quadratics equation is a polynomial equation of a second degree which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Quadratic equations have many applications in everyday life. Quadratic equations must be used directly or indirectly in every field that involves calculating speed.

Now we have \(x1\)=2    \(x2\)=-11

then quadratic function will be

(x+2) (x+11)

\(x^2+2x+11x+22\)

\(x^2+13x +22\)

this is our required quadratic equation.

To learn more about quadratic equation visit;

#SPJ1

Complete question is: Write a quadratic function f whose zeros are 2 and -13.

Hence the required quadratic equation is +13x+22.we can find by multiplying of given factor.

Quadratics equation is a polynomial equation of a second degree which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Quadratic equations have many applications in everyday life. Quadratic equations must be used directly or indirectly in every field that involves calculating speed.

Now we have x¹ = 2    x² = -11

then quadratic function will be

(x+2) (x+11)

x² + 2x + 11x + 22

x² + 13x + 22

This is our required quadratic equation.

To learn more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ1

The complete question is-

Write a quadratic function f whose zeros are 2 and -13.

Answer:

44-7x

Step-by-step explanation:

Answer: first one is 12 then second one is 10.5 then the third 9 then the fourth one is 7.5

Step-by-step explanation:

Answer:

AB = 38

BC = 4

Step-by-step explanation:

It kinda depends if the image is to scale or not

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188