Find the equivalent exponential expression (11^5)^2

The length of a rectangle is 55  inches and the width of the rectangle is  17 inches

Given that The length of a rectangle is four more than triple the width.  If the perimeter is 144 inches and asked to find the dimensions of the rectangle

Length of a rectangle = 4 + triple the width

Let's assume the length of a rectangle is "l" and the width is "b"

l= 4 + 3b

perimeter of rectangle =2 ( l +b )

perimeter of rectangle = 2 ( 4 +3b +b)

perimeter of rectangle = 2 ( 4 + 4b )

Given that perimeter of rectangle = 144 inches

144 inches =  2 ( 4 + 4b )

72 inches = 4 + 4b

b= 17 inches

l= 4 + 3b

l=4+51

l=55 inches

Therefore the dimensions of rectangle are 55 inches and 17 inches

Hence,The length of a rectangle is 55  inches and the width of the rectangle is  17 inches.

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Answer:

(X'U'Y) + (XUY')

Step-by-step explanation:

Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:

[Xn(X'nY)]' = (Xn)' + (X'nY)'

Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:

(Xn)' + (X'nY)' = (X'U'Y) + (XUY')

where U represents the logical operator "or".

Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').

Answer:

Use sine rule.

Explanation:

\(\begin{tabular}{|c|c|c|c|} \cline{1-2} \multicolumn{2}{|c|}{\bf {SOH CAH TOA Formula's}} \\ \cline{1-2} \cline{1-2} \rm{sine rule} & sin(\theta) \sf = opposite/hypotenuse \\ \cline{1-2} \rm{cosine rule} & cos(\theta) \sf = adjacent/hypotenuse \\\cline{1-2} \rm{tan rule} & tan(\theta) \sf = opposite/adjacent \\ \cline{1-2}\end{tabular}\)

If opposite side of an angle and hypotenuse is given.

Use sine rule: sin(θ) = opposite/hypotenuse

For example:

Given that opposite of the angle is 10 cm and hypotenuse is 20 cm.

To find the angle:

sin(θ) = 10/20

θ = sin⁻¹(10/20)

θ = sin⁻¹(1/2)

θ =  30°

Several ways

You can use sin directly

As

Then you can find Ø from it

Otherwise

You may find adjacent using Pythagorean theorem

Then you can use cos

You may use tan even

Answer:

\(\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|\)

Step-by-step explanation:

Cost of a bowl of salad = $5.00

Cost of a slice of pizza = $2.00

If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:

Next, we make P the subject of the equation above.

2P=E-5S

\(P=\dfrac{E-5S}{2} \\P=0.5(E-5S)\)

Therefore, The quantity of pizza he buys can be represented by the equation:

When E=$40, we are required to complete the table below.

\(\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|\)

When S=0, E=$40

From P=0.5(E-5S)

P=0.5(40-5(0))=20

When S=4, E=$40

P=0.5(40-5(4))

=0.5(40-20)

=0.5*20

=10

When P=0, E=$40

P=0.5(E-5S)

0=0.5(40-5S)

40-5S=0

5S=40

S=8

Therefore, the completed table is:

\(\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|\)

Answer:

3

Step-by-step explanation:

given

3 + 11t - 9u

if t = 9, and u = 11, substitute these numbers into the equation:

3 + 11(9) - 9(11)

= 3 + 99 - 99

= 3

Answer: 3

Step-by-step explanation:

3+11t-9u=3+11(9)-9(11)

            =3+99-99

            =102-99

            =3

Answer:

The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).

Step-by-step explanation:

To find the interval, we can just make the conversion of the values from pounds to kilograms.

Each kilogram has 2.2 pounds. So, to realize the conversion from pounds to kilograms, we divide by 2.2.

Confidence interval: (102.3 pounds, 106.5 pounds).

102.3 pounds = 102.3/2.2 = 46.5 kilograms

106.5 pounds = 106.5/2.2 = 48.41 kilograms

The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).

Answer:

I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!

Answer:

Slope = -0.020/2.000 = -0.010

 x-intercept = 3000/1 = 3000.00000

 y-intercept = 3000/100 = 30

Step-by-step explanation:

I think

The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

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See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population

To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.

First, let's find the multiplicative inverse of (4/3 - 4/9):

Multiplicative inverse = 1 / (4/3 - 4/9)

To simplify the expression, we need a common denominator:

Multiplicative inverse = 1 / ((12/9) - (4/9))

= 1 / (8/9)

= 9/8

Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:

Subtracted value = (7/12 + 7/8) - (9/8)

To perform this calculation, we need a common denominator:

Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)

= (14/24 + 21/24) - (9/8)

= 35/24 - 9/8

To simplify further, we need a common denominator:

Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)

= 35/24 - 27/24

= 8/24

= 1/3

Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).

Step-by-step explanation:

The solution would be 6

Answer:

The vertex is where the lines create a point. Which would make the answer (4,-1)

Step-by-step explanation:

The vertex is where the lines create a point. Which would make the answer (4,-1).

The solution is : (4,-1)  is the vertex of the absolute value function below.

In geometry, a vertex is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.

here, we have,

A vertex is an inflection point where a function changes its direction.

So, to answer this question, we have to find that inflection point where the absolute functions returns.

If you observe the given graph, you will see that such inflection point is at (4,-1).

That means the vertex is located in that position.

Therefore, the right answer is provided by the first choice. (4,-1)  is the vertex of the absolute value function below.

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The required amount invested in accounts with 8% and 12% are $1470 and $1820 respectively.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Lydia has money in two savings accounts one rate is 8% and the other is 12%  and the total interest is $336. Let the amount invest in accounts be x and y respectively.
According to the question,
0.08x + 0.12y = 336 - - - - - -(1)

Again,
she has $350 more in 12% account
y = x + 350 - - - - - -(2)

Put y in equation 1,
0.08x + 0.12[x + 350] =336
0.08x + 0.12x + 42 = 336
0.20x = 336 - 42
x = 294/0.20
x = $1470

Now

y = 1470 + 350
y = $1820

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Answer:

She borrowed php4737.00.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

\(E = P*I*t\)

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

\(T = E + P\)

6% interest:

This means that \(I = 0.06\)

19 months:

An year has 12 months, so \(t = \frac{19}{12} = 1.5833\)

She paid an interest of php 450. How much money did she borrow​

This is P when \(E = 450\). So

\(E = P*I*t\)

\(450 = P*0.06*1.5833\)

\(P = \frac{450}{0.06*1.5833}\)

\(P = 4737\)

She borrowed php4737.00.

Answer:

3/4

Step-by-step explanation:

Joe's monthly payment is $581.87, and the total interest cost of the loan is $110,675.20.

To calculate Joe's monthly payment, we can use the formula for a fixed-rate mortgage:

Monthly Payment = Loan Amount × Monthly Interest Rate / (1 - (1 + Monthly Interest Rate)^(-Number of Payments))

First, we need to calculate the loan amount. Since Joe put down 20%, the loan amount will be 80% of the home price:

Loan Amount = $140,000 × 0.8 = $112,000

Next, we need to calculate the monthly interest rate. The annual interest rate is 5.1%, so the monthly interest rate will be:

Monthly Interest Rate = Annual Interest Rate / 12 = 0.051 / 12 = 0.00425

Now, we calculate the number of payments. Joe obtained a mortgage for 30 years, which is equivalent to 30 × 12 = 360 monthly payments.

Using these values, we can calculate Joe's monthly payment:

Monthly Payment = $112,000 × 0.00425 / (1 - (1 + 0.00425)^(-360))

Using a financial calculator or spreadsheet software, we can evaluate this expression and find Joe's monthly payment to be approximately $581.87 (rounded to the nearest cent).

To calculate the total interest cost of the loan, we can subtract the loan amount from the total payments made over the 30-year period.

Total Interest Cost = (Monthly Payment × Number of Payments) - Loan Amount

Total Interest Cost = ($581.87 × 360) - $112,000

Using a financial calculator or spreadsheet software, we can evaluate this expression and find the total interest cost of the loan to be approximately $110,675.20 (rounded to the nearest cent).

Therefore, Joe's monthly payment is $581.87, and the total interest cost of the loan is $110,675.20.

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Answer:

yha bro its not a  a complete sentence   if thats what your looking for

Step-by-step explanation:

The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

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Answer:

-0.375

All you do is divide the two numbers  (-3 divided by 8)

Answer:

-0.375

Step-by-step explanation:

(❁´◡`❁)

Answer:

The correct answer is 96 miles!!

Step-by-step explanation:

Jaxon drove 96 miles

Sense Jaxon was driving at the constant rate of 48 miles per hour for two hours you would do the equation 48 x 2 = 96.

Hope this helps!!

Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is essentially what probability means.

The die has 10 faces, with numbers 1 through 10, but we are interested in the number of times it will land on a number less than 10. That means, there are 9 possible outcomes for each roll to be less than 10.

The expected number of times the die will land on a number less than 10 can be calculated by multiplying the probability of getting a number less than 10 on each roll by the total number of rolls.

The probability of getting a number less than 10 on each roll is 9/10, since there are 9 faces with numbers less than 10 out of the total of 10 faces.

Therefore, the expected number of times the die will land on a number less than 10 is:

E = (9/10) x 40 = 36

Therefore, Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.

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☆ 36 times.

— your in college ? im in seventh grade and got this question !

Answer:

$546000

Step-by-step explanation:

($65000×8%)(2)

Answer:

0.35808

Step-by-step explanation:

Given a normal distribution :

Mean (m) = 50 lb

Standard deviation (σ) = 1.1 lb

Proportion of bags with mass more than 50.4 lbs

X : X > 50.4 lbs

Using the Zscore relation :

Zscore = (x - m) / σ

Zscore = (50.4 - 50) / 1.1

Zscore = (0.4) / 1.1

Zscore = 0.3636363

P(Z > 0.3636) = 1 - P(Z < 0.3636)

P(Z < 0.3636) = 0.64192

1 - P(Z < 0.3636) = 1 - 0.64192 = 0.35808

Answer:

a. 2

b. The 90% confidence interval for the difference between the two population means is (1.02, 2.98).

c. The 95% confidence interval for the difference between the two population means is (0.83, 3.17).

Step-by-step explanation:

Before solving this question, we need to understand the central limit theorem and the subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

\(\mu_1 = 13.6, s_1 = \frac{2.2}{\sqrt{50}} = 0.3111\)

Sample 2:

\(\mu_2 = 11.6, s_2 = \frac{3}{\sqrt{35}} = 0.5071\)

Distribution of the difference:

\(\mu = \mu_1 - \mu_2 = 13.6 - 11.6 = 2\)

\(s = \sqrt{s_1^2+s_2^2} = \sqrt{0.3111^2+0.5071^2} = 0.595\)

a. What is the point estimate of the difference between the two population means?

Sample difference, so \(\mu = 2\)

b. Provide a 90% confidence interval for the difference between the two population means.

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.9}{2} = 0.05\)

Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.05 = 0.95\), so Z = 1.645.

The margin of error is:

\(M = zs = 1.645(0.595) = 0.98\)

The lower end of the interval is the sample mean subtracted by M. So it is 2 - 0.98 = 1.02

The upper end of the interval is the sample mean added to M. So it is 2 + 0.98 = 2.98

The 90% confidence interval for the difference between the two population means is (1.02, 2.98).

c. Provide a 95% confidence interval for the difference between the two population means.

Following the same logic as b., we have that \(Z = 1.96\). So

\(M = zs = 1.96(0.595) = 1.17\)

The lower end of the interval is the sample mean subtracted by M. So it is 2 - 1.17 = 0.83

The upper end of the interval is the sample mean added to M. So it is 2 + 1.17 = 3.17

The 95% confidence interval for the difference between the two population means is (0.83, 3.17).

Answer:

13.6

Step-by-step explanation:

5 divided into 68 is basically the same thing as 68 divided by 5.

68/5 is equal to 13.6

The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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Answer:

linear function

Step-by-step explanation:

straight line then add up

Answer:

Electric car = Exponential function (decreasing cost)

Gasoline car = Exponential function (increasing cost)

Step-by-step explanation:

The given data the Electric car, we have;

Time (years)   \({}\)     Cost (thousands of dollars)

0                           \({}\)      35

5                           \({}\)      27

10                           \({}\)     21

15                           \({}\)     16

20                           \({}\)    12.5

The difference between successive term is such that each term decreases by approximately the same percentage given as follows

1st and 2nd term (35 - 27)/35 × 100 ≈ 22.8571% decrease

2nd and 3rd term (27 - 21)/27 × 100 ≈ 22.222% decrease

3rd and 4th term (21 - 16)/21 × 100 ≈ 23.81% decrease

4th and 5th term (16 - 12.5)/16 × 100 ≈ 21.875% decrease

Therefore. the electric car is best approximated by exponential function

The given data the Gasoline car, we have;

Time (years)   \({}\)     Cost (thousands of dollars)

0                           \({}\)      35

5                           \({}\)      40.2

10                           \({}\)    46.3

15                           \({}\)    53.2

20                           \({}\)    61.2

The difference between successive term is such that each term increases by approximately the same percentage given as follows

1st and 2nd term (40.2 - 35)/35 × 100 ≈ 14.857% decrease

2nd and 3rd term (46.3 - 40.2)/40.2 × 100 ≈ 15.174% decrease

3rd and 4th term (53.2 - 46.3)/46.3× 100 ≈ 14.9% decrease

4th and 5th term (61.2 - 53.2)/53.2× 100 ≈ 15.03% decrease

Therefore. the Gasoline car is best approximated by exponential function