What is the missing term?

Answer:

Step-by-step explanation:

The dimensions of the rectangle will be 16 inches long and 7 inches wide,

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 112 square inches. Then the equations are given as,

LW = 112           ...1

L = 2W + 2       ...2

From equations 1 and 2, then we have

(2W + 2)W = 112

2W² + 2W - 112 = 0

W² + W - 56 = 0

W² + 8W - 7W - 56 = 0

W(W + 8) - 7(W + 7) = 0

(W + 8)(W - 7) = 0

W = 7, -8

Neglect - 8 because of negative signs. Then the length is given as,

L = 2 x 7 + 2

L = 14 + 2

L = 16

The dimensions of the rectangle will be 16 inches long and 7 inches wide,

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Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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Answer:

15

Step-by-step explanation:

With the two twins sister in mind we be dividing the difference of James's age with the combined ages

42-12/2

= 30/2

= 15

The age of his two sisters are 15

Answer:

63.6% (rounded to nearest tenth)

Step-by-step explanation:

To find the percent change, you need to find the change first. So subtract 55 from 90 and you get 35. Then you divide 35 and 55 to get the percent change (you also need to multiply that answer to get the percent.)

Answer:

2

Step-by-step explanation:

Hope this helps, and good luck!

Answer:x=2

Step-by-step explanation:

Answer:

The dotted line does not divide the data in two as the left and right side have an unequal, odd number of points 3 and 5 respectively

Step-by-step explanation:

The steps to follow in the divide the center method includes

1) Plot data

2) A dotted line is then drawn that divides the data in two, such that each side has an even number count of points

3) Mark the center of the data on each side of the dotted line as x

4) Draw a straight line through the x marks to extend to the plot area edges

5) The line drawn is the line of best fit.

Answer:

I think maybe b! but I'm not sure

The height of the flagpole is given as follows:

8.7 meters.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For the angle of 36.8º, we have that:

Hence the height is obtained as follows:

tan(36.8º) = h/11.6

h = 11.6 x tangent of 36.8 degrees

h = 8.7 m.

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Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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The graph on the right depicts the linear function y=2x.

Linear function graph is a straight line that depicts linear function y = f(x) = mx + k. It tells the dependent variable y changes by a constant amount as the independent variable x also changes by a constant amount. Whilst variable k is the y-intercept.

The slope of the graph, m, is determined by:

m = (y₂-y₁) / (x₂-x₁)

We are given two graphs. The left graph depicts the line y=x. We want to know what the right graph depicts.

Firstly, we pick two random points on the left graph to find the slope of the graph. Let's say we pick (1,2) and (5,10).

m = (y₂-y₁) / (x₂-x₁)

   = (10-2) / (5-1)

   = 8 / 4

   = 2

Then we find the y-intercept (k), the point where the graph intersects the y-axis. Its value is 0.

Now we put the value of m and k into the linear function:

y = f(x) = mx + k

           = 2x + 0

           = 2x

Thus, the graph on the right shows the line y=2x

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The two kinds of Java primitive variable types are Integer types and floating-point types. Integer types store whole numbers, while floating-point types store real numbers. The cast operator is used to convert one type to another type.

Here are two kinds of Java primitive variable types:

Integer: This type stores whole numbers, such as 1, 2, 3, and so on. The range of values that an integer can store depends on the size of the integer. For example, a byte can store values from -128 to 127, while a long can store values from -2^63 to 2^63 - 1.

Floating-point: This type stores real numbers, such as 1.0, 2.5, and 3.14159. The range of values that a floating-point number can store depends on the precision of the floating-point type. For example, a float can store values with a precision of 7 decimal places, while a double can store values with a precision of 15 decimal places.

To convert one type to another type, you can use the cast operator. For example, the following code converts an integer to a floating-point number:

int i = 10;

float f = (float) i;

The cast operator takes the value of the integer variable i and converts it to a floating-point number. The result of the cast operation is stored in the floating-point variable f.

Here are some other examples of type conversion in Java:

byte b = (byte) 10; - This code converts the integer value 10 to a byte value.

short s = (short) 10000; - This code converts the integer value 10000 to a short value.

float f = (float) 3.14159; - This code converts the floating-point value 3.14159 to a float value.

double d = (double) 1000000000.0; - This code converts the floating-point value 1000000000.0 to a double value.

It is important to note that type conversion can sometimes lose precision. For example, if you convert the integer value 10000 to a short value, the result will be 32767, which is the maximum value of a short value.

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Answer:

Line 1: Is parallel Line 2: Is Neither Line 3: Is parallel

Answer:

x=1

Step-by-step explanation:

4x-10+1.5x-4x+11=8.5-6

Combine like terms

1.5x+1=2.5

Subtract 1 from each side

1.5x+1-1=2.5-1

1.5x = 1.5

Divide by 1.5

1.5x/1.5 = 1.5/1.5

x=1

Answer:

x=1

Step-by-step explanation:

Given :

4x-10+1.5x-4x+11=8.5-6

4x+1.5x-4x=8.5-6-11+10

1.5x=1.5

x=1

Value of x=1

Answer:

x < 3.89

Step-by-step explanation:

12.99x < 50.50

Divided by 12.99 into both sides, and you get

x < 3.89

So, the answer is x < 3.89

The calculated height of the kite is 10.61 feet

From the question, we have the following parameters that can be used in our computation:

Length of the string = 15 feet

Angle with the ground = 45 degrees

Since the string is a straight line, we have

Height of the kite = Length of the string/√2

This is because the angle is 45 degrees

substitute the known values in the above equation, so, we have the following representation

Height of the kite = 15/√2

Evaluate

Height of the kite = 10.61

Hence, the height of the kite is 10.61 feet

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Answer:

4x + 2x would be 6x

Step-by-step explanation:

The temperature (t) needs to be greater than 60

So you would have t > 60

Answer:

t > 60

Explanation:

In order to answer this question we must determine two things: what two terms will be compared in the inequality and what symbol we will use to compare them. Let's start by finding, 'what two terms will be compared.'

Read the following quote from the problem...

"Forest fires are most likely to occur when the air temperature (t) is greater than 60°F."

Since the temperature (t) must be greater than sixty degrees to start a forest fire, these are the two terms that we will be comparing in the inequality.

Now, let's find out what symbol we will use to compare the terms.

Because the problem uses the phrase "greater than" to represent the comparison between the temperature of the air and an average of sixty degrees, the symbol we will be using in the inequality is the greater than sign, >.

Finally, use all the facts we have established to write the inequality.

· t = air temperature

· > = greater than

· 60 = max temp. before forest fire occurs

Therefore, the inequality for the solution is t > 60.

Answer:373248

Step-by-step explanation:

72^3 = 373248

Answer:

x=2

Step-by-step explanation:

Answer:

Future population = 720800

Step-by-step explanation:

Below is the calculation of population after 15 years.

Given the present population = 340000

Growth in population = 5.25%

Use below formula to find the values:

Future population = Present population ( 1 + r)^n

Future population = 340000 ( 1 + 5.25%)^15

Future population = 340000 (2.15)

Future population = 720800

P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

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The distance of the object from the helicopter based on the information about the height given will be 460 feet.

Your information is incomplete and the diagram wasn't found. This will be solved based on assumed figures.

From the information given, we are told that the helicopter hovering above a command post shines a spotlight on an object on the ground 250 feet away from the command post and we want to calculate the distance of the object from the helicopter.

Let's assume that the helicopter climbs 20 feet per seconds

Also, based on the information given, let us assume that the object is 10 seconds away.

Therefore, the distance will be calculated thus:

d = 250 + 21t

d = 250 + 21(10)

d = 250 + (21 × 10)

d = 250 + 210

d = 460 feet

Hence, based on the information, the distance of the object from the helicopter will be 460 feet.

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Answer:

y=-28

Step-by-step explanation:

-17-y=11

-y=11+17

-y=28

y=-28

Answer:

Point F is the furthest.

Step-by-step explanation:

The null hypothesis for this test is that the mean ECLSE test score for the university is equal to 1200. The alternative hypothesis is that the mean is not equal to 1200.

To perform the test, you will need to calculate the t-statistic and the p-value. The t-statistic is calculated by:

t = (sample mean - hypothesized mean) / (sample standard deviation/sqrt (sample size))

In this case, the sample mean is 1180, the hypothesized mean is 1200, the sample standard deviation is 100, and the sample size is 100. Plugging these values into the equation gives:

t = (1180 - 1200) / (100 / sqrt(100)) = -20 / 10 = -2

Next, you will need to calculate the p-value. The p-value is the probability of observing a t-statistic as extreme as the one calculated, given that the null hypothesis is true.

To calculate the p-value, you will need to use a t-distribution table or a software package to find the t-critical value for a one-tailed test with 99 degrees of freedom (since you have a sample size of 100) and a significance level of 0.05. The t-critical value is the value that defines the rejection region for the test. If the t-statistic falls in the rejection region, you can reject the null hypothesis.

If the p-value is less than the significance level of 0.05, you can reject the null hypothesis and conclude that the mean ECLSE test score for the university is not equal to 1200 at the 95% significance level. If the p-value is greater than or equal to 0.05, you cannot reject the null hypothesis and cannot conclude that the mean is different from 1200.

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Answer:

I think that it should be

\( {(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)\)

Step-by-step explanation:

Here,

we take , a - b = A,b-c = B , c - a= C

A+B+C = 0

we know that,

\( {a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca)\)

Here , A+B+C = 0

so,

A^3 +B^3 + C^3 = 3 ABC

now we put the values

\({(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)\)

I am done .

I think that it should be

{(a - b)}^{3}  +  {(b - c)}^{3}  +  {(c - a)}^{3}  = 3(a - b)(b - c)(c - a)

Step-by-step explanation:

Here,

we take , a - b = A,b-c = B , c - a= C

A+B+C = 0

we know that,

{a}^{3}  +  {b}^{3}  +  {c}^{3}   - 3abc = (a + b + c)(  {a}^{2}  +  {b}^{2}  +  {c}^{2}  - ab - bc - ca)

Here , A+B+C = 0

so,

A^3 +B^3 + C^3 = 3 ABC

now we put the values

{(a - b)}^{3}  +  {(b - c)}^{3}  +  {(c - a)}^{3}  = 3(a - b)(b - c)(c - a)

I am done .

The constant of proportionality, k = 0.59

25 pounds of bananas cost $14.75