The perimeter of a rectangular playground shown is 140 feet what is the area of the playground if the length is 40 feet

Step-by-step explanation:

Using Pyhtagorean Theorem,  calculate length  BD

  then you have two right triangles' areas to add together

       area = 1/2 *  Leg1 * Leg2

Caliban's diminished threat and importance by the end of the play serves a specific purpose in Shakespeare's "The Tempest." It highlights the theme of colonization and power dynamics, as well as challenges stereotypes and prejudices associated with "the other."

Caliban, initially depicted as a savage and dangerous creature, gradually loses his menacing presence as the play unfolds. This transformation is intentional, aiming to convey a deeper message about the dehumanizing effects of colonization. By the end, Caliban's character becomes a symbol of the oppressed and marginalized, reflecting the consequences of exploitation and subjugation. Through this portrayal, Shakespeare prompts the audience to question their preconceived notions and biases, challenging the notion that power and civility are inherently linked to physical appearance or societal status. Additionally, Caliban's character serves as a contrast to the other characters in the play. While Prospero represents civilization and control, Caliban embodies the natural and untamed. This stark dichotomy underscores the broader theme of the clash between the civilized and the wild. Ultimately, Caliban's transformation serves to provoke introspection and stimulate conversations about the treatment of those deemed different or inferior in society.

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Answer:

Sale price of the watch = $60

Step-by-step explanation:

Given that:

Cost of the watch at Macy's = $150

Discount on watch = 60%

Amount of discount = 60% of cost

Amount of discount = \(\frac{60}{100}*150\)

Amount of discount = 0.60*150 = $90

Price after discount = 150-90

Price after discount  = $60

Hence,

Sale price of the watch = $60

Answer:

1 block and 7 blocks

Step-by-step explanation:

You can split 8 blocks into 1 and 7.

Hope this helps :)

what do you need help with?

Answer:

Step-by-step explanation:

Look at the input and apply the rule. For example, if the rule is "Subtract 5" and the input is 9 then you subtract 5 from 9 to get 4, and 4 is the output. Let's take a look at some examples:

Yes, it is possible to have a function f defined on [2, 3] that meets the given conditions. To satisfy the condition of not being continuous on [2, 3], we can create a function with a removable discontinuity at a specific point.

One way to achieve this is by defining f(x) as a piecewise function. We can let f(x) be equal to a constant value c for x in [2, a) and [a, 3], where a is a value between 2 and 3. This will create a hole in the graph of the function at x = a, resulting in a removable discontinuity.

To ensure that f takes on both a maximum and minimum value, we can choose different constant values for f(x) in the intervals [2, a) and [a, 3]. For example, we can let f(x) be a high value like 100 in [2, a) and a low value like -100 in [a, 3]. This way, f(x) will have a maximum value of 100 and a minimum value of -100.

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Answer:

happy to help.........................................

Answer:

x+35=38

Step-by-step explanation:

the equation says results which is answer so now know the 38 is on the outside

35 is positive so x+35

Answer:

B

Step-by-step explanation:

According to the Factor Theorem, if (x - a) is a factor (where a is a zero) of the polynomial P(x), then P(a) must equal zero.

Our zeros are 4, √7, and - √7. Hence, when evaluating P(4), P(√7), and P(-√7), all must evaluate to zero.

Testing each choice, we can see that only choice B is true. That is:

\(\displaystyle \displaystyle \begin{aligned} f(4)&= (4)^3 - 4(4)^2 - 7(4) + 28 \\ &= (64) - (64) - (28) + 28 \\ &= 0 \stackrel{\checkmark}{=}0 \\f(\sqrt{7}) &= (\sqrt{7})^3 - 4(\sqrt{7})^2 - 7(\sqrt{7}) + 28 \\ &= (7\sqrt{7}) - (28) - (7\sqrt{7}) + 28 \\ &= 0 \stackrel{\checkmark}{=} 0\\ f(-\sqrt{7}) &= (-\sqrt{7})^3 - 4(-\sqrt{7})^2 - 7(-\sqrt{7}) + 28 \\ &= (-7\sqrt{7}) - (28) + (7\sqrt{7}) + 28 \\ &= 0 \stackrel{\checkmark}{=} 0 \end{aligned}\)

In conclusion, our answer is B.

The significance of the slope in regression can be determined by conducting a hypothesis test

The slope of the regression line in a regression analysis shows how  dependent variable changes as the independent variable increases by a unit. A hypothesis test on a slope coefficient, commonly referred to as the beta coefficient or the regression coefficient, can be used to ascertain the significance of the slope. The slope coefficient is compared to a null hypothesis value of zero in the hypothesis test.

The null hypothesis is rejected and it is determined that there is a significant association between the independent and dependent variables if the p-value for the slope coefficient is less than the significance threshold. Therefore, slope is not equal to zero and there is an association amongst changes in the independent variable and those in the dependent variable.

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Answer:

Your answer is A, 3x - 2x.

Step-by-step explanation:

Triple a number means to multiply it by 3.

Double a number means to multiply it by 2.

Difference means to subtract.

Hope this helps!

Answer:cim not sure tho

Step-by-step explanation:

Hey there! :)

Answer:

a) 24 cm²

b) 40.04 cm²

--------------------

Use the formula A = l × w to solve for each rectangle's area:

a)

8 × 3 = 24 cm².

b)

5.2 × 7.7 = 40.04 cm²

Answer:

a) 24

b) 40.04

Step-by-step explanation:

a) Area of a rectangle: length x width

length = 8

width = 3

Plug these values into the equation above:

8 x 3 = 24

b) Same steps as above except with different values for length and width

5.2 x 7.7 = 40.04

Answer:

1/2

Step-by-step explanation:

you're trying to put the variable(y) by itself. it would be divided by 14 on both sides, which 7/14 is 1/2

Answer:

stated in final line in the pic

Step-by-step explanation:

refer to the picture

Step-by-step explanation:

\(\huge\mathcal\blue{here's \: your \: solution} \\ \\ x = 2y - 14 \: \: \: (given) \\ \\ equation \: = 5x - 7y = - 43 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 5(2y - 14) - 7y = - 43 \\ \\ 10y - 70 - 7y = - 43 \\ \\ 3y - 70 = - 43 \\ \\ 3y = + 70 - 43 \\ \\ 3y = 27 \\ \\ y = 27 \div 3 \\ \\ y = 9 \\ \\ now \: put \: the \: value \: of \: y \: in \: equation \\ \\ x = (9 \times 2) - 14 \\ \\ x = 18 - 14 \\ \\ x = 4 \\ \\ \huge\mathfrak\red{hope \: it \: helps..}\)

Step-by-step explanation:

The fraction she will complete is   1/2  /  3/5   = 1/2 * 5/3 =  5/6 completed

Because the temperature is greater, the relative humidity of the atmosphere is higher.

Water vapor is also measured by relative humidity (RH), which is stated as a percentage but RELATIVE to the air's temperature. In plenty of other terms, it is a comparison between the quantity of water vapor that is really present in the air and the maximum amount water vapor that is possible for the air at the current temperature.

By deducting the temperature just on wet-bulb thermometer from of the temperature just on dry-bulb thermometers and utilizing a relative humidity chart, one may determine the relative humidity.

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Step-by-step explanation:

To determine the surface area of a prism, we need more information about its dimensions. A prism typically consists of two congruent parallel bases and rectangular faces connecting these bases.

If you can provide the necessary measurements, such as the length, width, and height of the prism, I can assist you in calculating the surface area.

Thank you

To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.

By calculating,

600/10=60 and 59 students which is less than 10% of the population.

A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.

Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values

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Answer:

Step-by-step explanation:

Candice = 25mph for 4 hours.

Candice has driven= 25 * 4= 100miles.

Liz =50mph

Liz time to catch up to candice= 50 * 2= 100miles.

Therefore, It would have taken Liz two hours to catch up with Candice

To determine the angle from the vernal equinox to the station at the time of measurement, we need to use the following formula:

Angle = (Sidereal Time at Greenwich + Longitude of the Station - Hour Angle of the Object) * 15 degrees/hour

First, we need to determine the Hour Angle of the Object, which is the amount of time since the object (in this case, the radar measurement) passed over the Greenwich meridian. We know that the radar measurement occurred 2.8 hours after noon on January 1, so the Hour Angle of the Object is:

Hour Angle = 2.8 hours * 15 degrees/hour = 42 degrees

Next, we can plug in the values we know into the formula:

Angle = (100 degrees + (-4 degrees) - 42 degrees) * 15 degrees/hour
Angle = 54 degrees * 15 degrees/hour
Angle = 810 degrees/hour

Therefore, the angle from the vernal equinox to the station at the time of the radar measurement is 810 degrees/hour.

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Let:

x = Amount of first brand

y = Amount of second brand

so:

where:

So:

so:

Answer:

44 mm of the first brand

176 mm of the second brand

Jackson spent 4.60+p more than Tim in buying fruits.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, two friends shop for fresh fruit. Jackson buys a watermelon for ​$7.85 and 3 pounds of cherries.

Let the variable p to represent the​ price, in​ dollars, per pound of cherries.

So, the total cost is 7.85+3p

Tim buys a pineapple for ​$3.25 and 2 pounds of cherries.

Here, the total cost is 3.25+2p

Difference in there price is 7.85+3p -(3.25+2p)

4.60+p

Therefore, Jackson spent 4.60+p more than Tim in buying fruits.

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x represents the cost of each bottle of juice. Given that he bought a pack containing 6 bottles of juice, the cost of the 6 pack juice bottles would be $6x

Given that the total cost of a bag of popcorn which costs $2.11 and a 6-pack of juice bottles is $11.41, it means that

2.11 + 6x = 11.41

6x = 11.41 - 2.11

6x = 9.3

x = 9.3/6

x = 1.55

The cost of each bottle of juice is $1.55

Answer:

{ 1,2,3,4,5,6}

Step-by-step explanation:

To help you evaluate the function F(x) = [[x]] for the indicated values:

(a) f(4.1): To evaluate the function at this value, we need to find the greatest integer less than or equal to 4.1.

Since 4 is the greatest integer less than or equal to 4.1, f(4.1) = 4.

(b) f(4.9): Similarly, for 4.9, the greatest integer less than or equal to 4.9 is 4. So, f(4.9) = 4.

(c) f(-5.5): For -5.5, the greatest integer less than or equal to -5.5 is -6. Therefore, f(-5.5) = -6.

(d) f(11/2): Since 11/2 = 5.5, we need to find the greatest integer less than or equal to 5.5. The greatest integer less than or equal to 5.5 is 5, so f(11/2) = 5.

In summary:
a) f(4.1) = 4
b) f(4.9) = 4
c) f(-5.5) = -6
d) f(11/2) = 5

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