Which terms describe this shape? Choose all that apply.

rectangle

parallelogram

square

rhombus
Submit
hi

First, divide.

26 / 130 = 0.2

Second, multiply.

0.2 * 100% = 20%

Therefore, 26 is 20% of 130

Best of Luck!

The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

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Answer:

D, StartRoot 3 EndRoot x + 3 y = 0

Step-by-step explanation:

The equation which represents the rectangular form of 5pi/6​ is √3x-y=0.

We are given that;

The expression 5pi/6​

Now,

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

The rectangular form of a polar point (r, θ) is given by (x, y) where x = r cos(θ) and y = r sin(θ).

Therefore, the rectangular form of 5π/6 is given by (x, y) where x = 5 cos(5π/6) and y = 5 sin(5π/6).

Using the unit circle, we can find that cos(5π/6) = -√3/2 and sin(5π/6) = 1/2.

Hence, the rectangular form of 5π/6 is (-5√3/2, 5/2).

Therefore, by the equation answer will be √3x-y=0.

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Answer:

Sure. Here are the values that you requested:

Future Value: The future value of the investment is $1,388,903.23.

Interest Earned: The total interest earned is $1,263,903.23.

Number of Payments: The total number of payments is 160 (40 years * 4 quarters/year).

Average Balance: The average balance of the account is $432,203.28.

Here is the formula that I used to calculate the future value of the investment:

FV = PV * (1 + r)^n

Where:

FV is the future value

PV is the present value (the initial deposit)

r is the interest rate

n is the number of years

In this case, the present value is $2,500, the interest rate is 2%, and the number of years is 40.

FV = 2500 * (1 + 0.02)^40 = 1388903.23

Here is the formula that I used to calculate the interest earned:

Interest = FV - PV

In this case, the future value is $1,388,903.23 and the present value is $2,500.

Interest = 1388903.23 - 2500 = 1263903.23

Here is the formula that I used to calculate the number of payments:

Number of Payments = Years * Periods/Year

In this case, the number of years is 40 and the number of periods per year is 4.

Number of Payments = 40 * 4 = 160

Here is the formula that I used to calculate the average balance of the account:

Average Balance = (PV + FV)/2

In this case, the present value is $2,500 and the future value is $1,388,903.23.

Average Balance = (2500 + 1388903.23)/2 = 432203.28

Step-by-step explanation:

a. The sales tax is 6% of the original price of $60, which is:

0.06 x $60 = $3.60

So the total cost of the watch including tax is:

$60 + $3.60 = $63.60

b. The discount is 15% of the original price of $60, which is:

0.15 x $60 = $9

So the sale price of the watch is:

$60 - $9 = $51

c. To find the total cost of the watch including tax, we need to calculate the sales tax on the discounted price of $51:

0.06 x $51 = $3.06

So the total cost of the watch for your friend is:

$51 + $3.06 = $54.06

d. The percent change in the total cost can be calculated using the formula:

percent change = (new value - old value) / old value x 100%

For you, the old value was $60 and the new value (including tax) was $63.60. So the percent change is:

(percent change) = ($63.60 - $60) / $60 x 100% ≈ 6%

For your friend, the old value was $60 and the new value (including tax and discount) was $54.06. So the percent change is:

(percent change) = ($54.06 - $60) / $60 x 100% ≈ -9% (note that this is a decrease, since the new value is less than the old value)

For the scenario, use a t-interval. The critical value for a 90% confidence interval is 1.669. Use t.test() to calculate the confidence interval. To control width within 0.7 mpg, determine sample size with pwr.t.test().

(a) In this scenario, a t-interval is appropriate to use because the standard deviation of the general gas usage is estimated from past experience.

(b) To find the critical value for a 90% confidence interval using R, you can use the qt() function. The code would be:

```

q <- qt(0.95, df = 59)

```

The critical value is approximately 1.669.

(c) To construct a 90% confidence interval for the mean of the general gasoline usage using R, you can use the t.test() function. The code would be:

```

data <- c(...) # Insert the 60 gasoline usage values here

result <- t.test(data, conf.level = 0.90)

result$conf.int

```

The confidence interval will be displayed in the output.

(d) To determine the sample size required to control the width of the confidence interval within 0.7 mpg, you can use the pwr.t.test() function in R. The code would be:

```

pwr.t.test(d = 0.7, sig.level = 0.10, power = 0.90, type = "two.sample", alternative = "two.sided")

```

The output will provide the required sample size based on the specified parameters.

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Answer:

1.25 lawns/per hour

Step-by-step explanation:

Answer: I think the answer is 25 units squared

Step-by-step explanation:

A= l*w

A= 5*5

A=25^2

Answer: I think it's 80

Compound interest is interest that is calculated on both the principal amount and any accumulated interest from previous periods. This results in the interest earning interest over time, leading to exponential growth.

If you deposit $2,000 in a savings account with an interest rate of 6 percent, the interest rate is the return you get for lending your money to the bank. The interest is calculated on an annual basis, and the compounding period, which is the frequency at which interest is added to the account, can vary. In this case, assuming that the interest is compounded annually, it would take approximately 12 years for the $2,000 to become $4,000.

To calculate this, you can use the formula for compound interest: FV = PV x (1 + r)^n, where FV is the future value, PV is the present value, r is the interest rate, and n is the number of compounding periods. In this case, FV is $4,000, PV is $2,000, r is 6 percent (0.06), and n is the number of years. So, you would solve for n as follows:

$4,000 = $2,000 x (1 + 0.06)^n

Dividing both sides by $2,000 and taking the logarithm of both sides, you get:

log(2) = n x log(1.06)

Solving for n, you get:

n = log(2) / log(1.06) = 11.9

Therefore, it would take approximately 12 years for $2,000 to become $4,000 if it is deposited in a savings account with an interest rate of 6 percent and compounded annually.

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Answer:

-25

Step-by-step explanation:

\(-5^2=-25\)

To find the angle of least nonnegative measure that is coterminal with θ = -570°, we can add or subtract multiples of 360° until we get an angle between 0° and 360°.

We can start by adding 360° to -570°:

-570° + 360° = -210°

This is still negative, so we can add another 360°:

-210° + 360° = 150°

This is between 0° and 360°, so the angle of least nonnegative measure that is coterminal with θ = -570° is 150°. Therefore, 0c is 150°.

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Answer:

a. x + 2 ≤ 6 or x + 2 ≥ 10 b. x  ≤ 4 or x  ≥ 8

Step-by-step explanation:

a. Write a compound inequality

Let x be the number.

Since x + 2 is no more than 6 then x + 2 ≤ 6 and x + 2 is no less than 10 then x + 2 ≥ 10

So, the compound inequality is x + 2 ≤ 6 or x + 2 ≥ 10

b. Solve the inequality

Solving each inequality, we have,

x + 2 ≤ 6

x  ≤ 6 - 2

x  ≤ 4

x + 2 ≥ 10

x  ≥ 10 - 2

x  ≥ 8

So,  x  ≤ 4 or x  ≥ 8

Profit fall in one year = 116.8$

What is profit?

In accounting, a profit is an income that is given to the owner throughout a successful market producing process. Profitability, which is the owner's primary interest in the income-formation process of market production, is measured by profit. There are several profit metrics that are frequently used.

Let cost price = C

And selling price before reducing = S

Profit for 1 day = S-C

Now, After reducing selling price to = S-0.32

Profit= S - 0.32 - C for 1 day

Profit fall by = (S-C)-(S - 0.32 - C)

                     = S - C - S + 0.32 + C

Profit fall by = 0.32 for 1 day

Profit fall by one year = 0.32×365

                                    = 116.8$

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The simple interest equation for this problem is given as follows:

A = 500 + 10t.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

The parameter values for this problem are given as follows:

P = 500, r = 0.02.

Hence the equation is given as follows:

A = 500(1 + 0.02t)

A = 500 + 10t.

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Answer:

<1 = 107.5 degrees

<2 = 72.5 degrees

Step-by-step explanation:

<1 = x

<2 = x -35

x + x - 35 = 180

2x = 180+35

x = 215/2

x = 107.5

<1 = 107.5

<2 = 72.5

x+∠QSR+∠UST=180x+∠QSR+∠UST=180 (straight line =180) and ∠R+∠T=90∠R+∠T=90 (as PRT is a right angle)

(1) The length of line segment QR is equal to the length of line segment RS --> triangle QRS is isosceles --> ∠RQS=∠QSR=180−∠R2∠RQS=∠QSR=180−∠R2 (as ∠RQS+∠QSR+∠R=180∠RQS+∠QSR+∠R=180 --> 2∗∠QSR+∠R=1802∗∠QSR+∠R=180 --> ∠QSR=180−∠R2∠QSR=180−∠R2). Not sufficient.

(2) The length of line segment ST is equal to the length of line segment TU --> triangle UST is isosceles --> ∠SUT=∠UST=180−∠T2∠SUT=∠UST=180−∠T2. Not sufficient.

(1)+(2) x+∠QSR+∠UST=180x+∠QSR+∠UST=180 --> x+180−∠R2+180−∠T2=180x+180−∠R2+180−∠T2=180 --> x+360−(∠R+∠T)2=180x+360−(∠R+∠T)2=180 --> since ∠R+∠T=90∠R+∠T=90 --> x+360−902=180x+360−902=180 --> x=45x=45. Sufficient.

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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Answer:

90

Step-by-step explanation:

each dot = 45 bc 540 / how many dots there are which is 12 = 45 then there are 2 dots worth of 45 making it 90

math

540/12=45

45 x 2 = 90

Answer: 135 students

Step-by-step explanation:

1. Divide 540 (total number of students) by the number of dots (12)

2. So then 540/12= 45

3. Then see how many dots are more then 5 miles away so that is 3 dots (2dots on 6 miles, and 1 dot on 7 miles)

4. After 45*3= 135

The appropriate response is B. When using stratified random sampling, the population is first divided into subpopulations or strata.

From each stratum, a simple random sample is obtained whose size is proportional to the size of the subpopulation. The advantage of this method is that it ensures that no subpopulation is missed, and it allows for more precise estimation of population characteristics within each stratum.

b. The population is first divided into subpopulations (strata). From each stratum, a simple random sample is obtained whose size is proportional to the size of the subpopulation. The advantage of this method (stratified random sampling) is that it ensures that no subpopulation is missed, and it can lead to more precise estimates as it accounts for the variability within each stratum.

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The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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Answer:

45 meters per 30 seconds

Step-by-step explanation:

To figure this question out you first gave to find the unit rate of meters per second by dividing 105 by 70.

105 divided by 70 = 1.5

So Susan can swim 1.5 meters per second.

Then we multiply that amount by 30 to find the number of meters she can swim in 30 seconds.

1.5 x 30 = 45 meters

So, in conclusion, Susan can swim 45 meters per 30 seconds

Answer:

228 kilometers away

Step-by-step explanation:

Answer:

I believe the answer is A

Step-by-step explanation:

three times x can be equal to, but never greater than -6

Answer:

A. 3x ≤ -6

Step-by-step explanation:

the sentence ‘3x is at most -6

means that the most 3x is allowed to be is -6

it can be -6 or any number less than -6

So, the phrase 3x is at most -6

’ means ‘

3x ≤ -6

To estimate the quotient of 828 ÷ 23, round the numbers. The estimate is 40. The exact quotient is 36. By multiplying the quotient and divisor, you can check the answer.

To estimate the quotient of 828 ÷ 23, you can round both numbers. Let's round 828 to 800 and 23 to 20. Divide 800 by 20 to get an estimate of 40 as the quotient.

To find the exact quotient, divide 828 by 23. The exact quotient is 36.

To check the answer using multiplication, multiply the quotient (36) by the divisor (23). The product should be equal to the dividend (828). 36 × 23 = 828, which confirms that the answer is correct.

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Line segment is a a measurable part of a line that consists of two points, called endpoints.

a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Given that measurable part of a line that consists of two points, called endpoints is a line segment.

A line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.

Hence, line segment is a a measurable part of a line that consists of two points, called endpoints.

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Let,

From the expression (2).

Substitute y=-17.5 in the expression (1)

Thus, the solutions are x=-24.5 and y=-17.5.

The standard deviation is 7.35.

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group

In order to determine the standard deviation, take the following steps:

Determine the mean of the observation: (87 + 91 + 74 + 73 + 80 + 84 + 68 + 75) / 8 =79

Determine the difference between each value and the mean and then square the result:

(87 - 79)² + ( 91 - 79) ² + (74 - 79)² + (73 - 79)² + (80 - 79)²  + (84- 79)²  + (68 - 79)²  +( 75- 79) ²

64 + 144 + 25 + 36 + 1 + 25 + 121 + 16 = 432

Determine the mean of the sum of the squared differences and then find the square root of the mean:

√432 / 8 = 7.35

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Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

T = temperature

-52 < T < 108

Temperatures fall between the values of -52 and 108.  D is the number line that shows this.