A rectangular prism measures 3 cm by 9 cm by 27 cm . What is the length in centimeters of a cube with the same volume ?

Answer:

no 4 will not become negative

Step-by-step explanation:

as 4-5y>18

4-18>5y

-14>5y

-14/5=y

-2.8=y

Answer:

See answer below

Step-by-step explanation:

4 - 5 y > 18

is in fact what is called an "inequality", not an equation. This is because the symbol that links the left side with the right side of the expression is not and equal sign but "<" or ">".

In order to solve for "y" in the inequality, you can operate similarly as you do with an equation (that is adding the same terms to both sides at the same time) and conserving the relationship. With the only difference that when you multiply or divide both sides by a negative number, you need to flip the direction of the inequality.

The area of the square ABCD is approximately 420/π cm².

To find the area of the square, follow these steps:
1. Calculate the radius of the circle:
Since the area of the circle is 105 cm², you can use the formula for the area of a circle,

which is A = πr²,

where A is the area and r is the radius.
105 = πr²
Divide both sides by π:
r² = 105/π
Take the square root of both sides:
r = √(105/π)
2. Calculate the side length of the square:
Since the circle touches all 4 sides of the square, the diameter of the circle is equal to the side length of the square. The diameter is twice the radius (d = 2r), so:
d = 2√(105/π)
3. Calculate the area of the square:
Now, use the formula for the area of a square, which is A = s²,

where A is the area and s is the side length. In this case, s = d:
A = (2√(105/π))²
A = 4 * (105/π)
4. Multiply to find the area:
A = 420/π cm².

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Answer:  b

Step-by-step explanation:

I think

The correct options are:

1) the triangle is isosceles.

2) the leg-to-hypotenuse ratio is 1:√2  

3) the non-right angles are congruent.

4) the ladder represents the longest length in the triangle.

For given question,

the length of the ladder is 12 feet.

the distance from the wall to the base of the ladder is 6√2 feet

Let x be the height of the wall.

Using Pythagoras theorem,

⇒ x² + (6√2)² = 12²

⇒ x² = 72

⇒ x = 8.5 ft

So, the triangle is right triangle.

Here, the hypotenuse = 12 ft

And, the leg-to-hypotenuse ratio is,

6√2 : 12 = 1:√2

We know that the right triangle is an isosceles triangle.

Since the right triangle is an isosceles  triangle, the non-right angles are congruent.

We know that, the hypotenuse is the longest length in the triangle.

So, the ladder represents the longest length in the triangle.

Therefore, the correct options are:

1) the triangle is isosceles.

2) the leg-to-hypotenuse ratio is 1:√2  

3) the non-right angles are congruent.

4) the ladder represents the longest length in the triangle.

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Answer:

1, 2, 4, and 5

Step-by-step explanation:

Edge 2022

The true statement is (b) the random variable is x, the possible values are 0 to 3 and the values are numerical

The table is added as an attachment

From the attached image, we have:

Number of girls (x)          P(x)

0                                         0.125

1                                         0.375

2                                         0.375

3                                         0.125

In the above, the random variable is x, while P(x) represents its probabilities.

Also, the possible values are 0 to 3 as shown in the table.

0 to 3 are numerical digits, and the values are numerical

Hence, the true statement is (b)

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The two types of errors you might make in conducting hypothesis test is type I error occurs when we conclude that the new marketing campaign does not increase sales when it actually does, This would lead to missed opportunities for increased sales and revenue for the company. Type II error occurs when we conclude that the new marketing campaign does not increase sales when it actually does, This would lead to missed opportunities for increased sales and revenue for the company. So, the correct option is A) and D).

Type I error is also known as a "false positive" error, where we reject the null hypothesis (i.e., conclude that the marketing campaign does increase sales) when it is actually false (i.e., the campaign does not have an effect on sales). This would lead to missed opportunities for increased sales and revenue for the company.

Type II error is also known as a "false negative" error, where we fail to reject the null hypothesis (i.e., conclude that the marketing campaign does not increase sales) when it is actually false (i.e., the campaign does have an effect on sales). This would also lead to missed opportunities for increased sales and revenue for the company.

Therefore, it is important to choose an appropriate significance level (alpha) and calculate the power of the test to minimize the risk of both types of errors in a hypothesis test. The correct answers are (A) and (D).

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--The given question is incomplete, the complete question is given

"Suppose you are conducting a hypothesis test to determine if a new marketing campaign increases sales for a particular product. What are the two types of errors you might make in conducting this test? (select all that apply)

a) A type I error occurs when we conclude that the new marketing campaign does not increase sales when it actually does. This would lead to missed opportunities for increased sales and revenue for the company.

b) A type II error occurs when we conclude that the new marketing campaign increases sales when it actually does not. This would lead to wasted resources on the marketing campaign and potentially lost sales if the company shifts resources away from a successful strategy.

c) A type I error occurs when we conclude that the new marketing campaign increases sales when it actually does not. This would lead to wasted resources on the marketing campaign and potentially lost sales if the company shifts resources away from a successful strategy.

d) A type II error occurs when we conclude that the new marketing campaign does not increase sales when it actually does. This would lead to missed opportunities for increased sales and revenue for the company."--

When a car aerial absorbs radio waves, it induces a small electric current in the electrical circuit. This current flows through the circuit, reaching the radio receiver, where it is processed and amplified to produce an audible sound.

The car aerial, also known as an antenna, is designed to capture radio waves from the surrounding environment. These radio waves are electromagnetic waves that carry information in the form of varying frequencies. When the aerial absorbs these radio waves, it acts as a receiving element.

The electrical circuit connected to the car aerial plays a crucial role in the process. The radio waves induce a small alternating current in the aerial. This current is generated due to the interaction between the radio waves and the conductive components of the aerial. The induced current flows through the circuit, which typically includes a coaxial cable, connectors, and the necessary wiring.

The current travels from the aerial to the radio receiver, which is usually located in the car's dashboard. The receiver detects the current and processes it using electronic components such as transistors and integrated circuits. The received signal is amplified and filtered to extract the desired radio frequency. Finally, the amplified signal is sent to the car's speakers, allowing the listener to hear the audio content carried by the radio waves.


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The length of the third side of the quadrilateral is 7.5 cm.

A quadrilateral is a polygon that has four sides and four angles. The sum of interior angles in a quadrilateral is 360°. Types of quadrilateral are square, rectangle, rhombus, kite and so on.

Let x represent the length of the third side, hence:

x = 5 + (5 * sin(20)) + (5 * sin(10)) = 7.5 cm

The length of the third side of the quadrilateral is 7.5 cm.

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Answer:

I just took the k12 quiz its 7.5 100%

Step-by-step explanation:

They both will charge same when they will travel the distance of 17 mile

Let the mile at which they will travel both will be x.

Taxi fares were raised primarily to help increase cabbies' income. They were raised also to help reduce the number of refusals passengers had to take from cabbies.

The result of the move, however, might not have been as desired because of the rising costs of traveling in a taxi. Also, taxi-calling apps have faced opposition ever since they were launched.

It is understandable that taxi drivers seek maximum profits, but taxi companies, as well as their management departments should never forget that passengers' satisfaction should be the highest priority for them.

We know that 1 dollar = 100 cents

so 1 cent = 0.01$

So, taxi company 1 charges can be 8 + 0.33x

similarly, taxi company 2 charges can be 5.76+.46y

Given that both company have same charge

So,

\(8+0.33 x = 5.79 + 0.46 y\\8-5.79 = 0.46x-0.33x\\2.21 = 0.13x\\x =17\)

Therefore, When a customer travels 17 miles with any of the taxi company will charge the same.

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They both will charge same when they will travel the distance of 17 mile

Let the mile at which they will travel both will be x.

Taxi fares were raised primarily to help increase cabbies' income. They were raised also to help reduce the number of refusals passengers had to take from cabbies.

The result of the move, however, might not have been as desired because of the rising costs of traveling in a taxi. Also, taxi-calling apps have faced opposition ever since they were launched.

It is understandable that taxi drivers seek maximum profits, but taxi companies, as well as their management departments should never forget that passengers' satisfaction should be the highest priority for them.

We know that 1 dollar = 100 cents

so 1 cent = 0.01$

So, taxi company 1 charges can be 8 + 0.33x

similarly, taxi company 2 charges can be 5.76+.46y

Given that both company have same charge

So,

\(8+0.33x=5.79+0.46x\\8-5.79=0.46x-0.33x\\2.21=0.13x\\x=17\)

Therefore, When a customer travels 17 miles with any of the taxi company will charge the same.

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The variable associated with the interior and exterior angles in the triangle is equal to 56.

The value of the exterior angle is equal to 116°.

This question presents the case of a geometric system formed by a triangle and a semirray that includes two interior angles and a exterior angle. Please notice that the sum of the measures of interior angles in a triangle equals 180° and the sum of two supplementary angles equals 180°.

First, derive the equation of the missing interior angles in triangle PQR:

m ∠ R = 180° - 60° - x

m ∠ R = 120° - x

Second, obtain the equation for the two supplementary angles:

(120° - x) + (2 · x + 4°) = 180°

124° + x = 180°

x = 56

Third, determine the value of the exterior angle:

θ = 2 · x + 4

θ = 2 · 56 + 4

θ = 116°

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Answer: Third option

Step-by-step explanation: Hope this helps :)

Answer:

C.

Step-by-step explanation:

14/3 = 4.66

/2/=2.33

-14/4 = -3.5

So the numbers are 4.66, 4.3, 2.33, 1.3, -2 and -3.5

So the numbers are -14/4, -2, 1.3,/2/, 4.3, 14/3

I hope I helped! Pls leave a rating and a heart if I did!

Answer:

B

correct me if i wrong

If the class average on the midterm is 50, the predicted average score on the final exam is approximately 64.6.

The professor wants to forecast final exam scores (y) based on midterm exam scores (x). For this purpose, he collected data from different instructors who taught the same class and obtained the following information:

midterm (x): 55 54 65 76 45

final (y): 76 45 76 85 56

r (x,y) = 0.7515

sx = 11.8533

sy = 16.5015

The question asks to predict the average class score on the final exam if the class average score on the midterm is 50.

Since the average score on the midterm is lower than all midterm scores provided, we need to adjust the scores to predict the average score on the final exam.

If the average score on the midterm is 50, we can adjust the scores by subtracting 50 from each midterm score to get the adjusted midterm scores:

55 - 50 = 5

54 - 50 = 4

55 - 50 = -5

66 - 50 = 26

7 - 50 = -5

We now have the following information:

Midterm (x): 5 4 15 26 -5

Final (y): 76 45 76 85 56

r (x,y) = 0.7515

sx = 11.8533

sy = 16.5015

Using the regression equation:

y = a + bx where:a = y - bx and b = r (sy/sx)

We can find the slope (b):

b = r (sy/sx)

= (0.7515)(16.5015/11.8533)

= 1.0463

We can then find the y-intercept (a):

a = y - bx

= (64.6) - (1.0463)(2.35)

= 62.19

Therefore, the equation of the regression line is:y = 62.19 + 1.0463x

In conclusion, if the class average on the midterm is 50, the predicted average score on the final exam is approximately 64.6.

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Glow costs 16/27 dollars, which is equal to 59.3 cents per volume unit.

Let's start by assigning variables to the unknown prices and volumes of the toothpastes. Let x be the price per unit volume of Fresh, y be the price per unit volume of Glow, and z be the price per unit volume of Bright. Let v1 be the volume of Fresh, v2 be the volume of Glow, and v3 be the volume of Bright. From the information given in the problem, we can set up the following equations:

z = 1.6y (a tube of Bright is 60% more expensive than a tube of Fresh)

v3 = 0.75v2 (a tube of Bright has 25% less volume than Glow)

y = 0.75z (a tube of Glow is 25% less expensive than a tube of Bright)

v2 = v1 + 100/3 (a tube of Glow has 100/3 more volume than Fresh)

We can substitute the first equation into the second equation to eliminate z:

v3 = 0.75v2

(substitute v2 = 0.75z and v1 = 1)

0.75v2 = 0.75(0.75z + 100/3)

0.75v2 = 0.5625z + 25

(substitute z = 1.6y and v2 = v1 + 100/3)

0.75(v1 + 100/3) = 0.5625(1.6y) + 25

0.75v1 + 25/3 = 0.9y + 25

0.75v1 = 0.9y + 50/3

We can substitute the third equation into the fourth equation to eliminate y:

v2 = v1 + 100/3

(substitute y = 0.75z)

0.75z = 0.75(0.75y) + 100/3

z = y + 16/9

(substitute z = 1.6y)

1.6y = y + 16/9

y = 16/27

Therefore, the price per unit volume of Glow is 16/27 dollars, or 59.3 cents per unit of volume.

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The value of x, which represents the cost of each carton of ink is $63.

Let's break down the given information:

The subscription fee for the printer ink service is $230.

The company paid a total of $1364, which includes the subscription fee.

The company purchased 18 cartons of ink.

To find the value of x, we need to determine the cost of the ink cartridges alone, excluding the subscription fee. We can subtract the subscription fee from the total payment to get the cost of the ink:

Total payment - Subscription fee = Cost of ink cartridges

$1364 - $230 = $1134

Now, we divide the cost of the ink cartridges by the number of cartridges to find the cost per cartridge:

Cost of ink cartridges / Number of cartridges = Cost per cartridge

$1134 / 18 = $63

Therefore, the value of x, which represents the cost of each carton of ink, is $63.

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The Taylor polynomial of degree 4 centered at a = 4 approximates the square root of 3 to be approximately 1.7321.

To approximate the square root of 3 using Taylor's theorem, we can use a Taylor polynomial of degree 4 centered at a suitable point.

1. Start with the function f(x) = √x.

2. Choose a point to center the Taylor polynomial. In this case, let's choose a = 4, as it is close to the value we want to approximate (√3).

3. Compute the derivatives of f(x) up to the fourth order.

  f'(x) = 1/(2√x)

  f''(x) = -1/(4x^(3/2))

  f'''(x) = 3/(8x^(5/2))

  f''''(x) = -15/(16x^(7/2))

4. Evaluate the derivatives at the chosen point a = 4.

  f(4) = √4 = 2

  f'(4) = 1/(2√4) = 1/4

  f''(4) = -1/(4(4^(3/2))) = -1/32

  f'''(4) = 3/(8(4^(5/2))) = 3/128

  f''''(4) = -15/(16(4^(7/2))) = -15/512

5. Use the Taylor polynomial of degree 4:

  P4(x) = f(a) + f'(a)(x-a) + (f''(a)/2!)(x-a)^2 + (f'''(a)/3!)(x-a)^3 + (f''''(a)/4!)(x-a)^4

6. Substitute the values of a = 4 and the derivatives at a into the polynomial:

  P4(x) = 2 + (1/4)(x-4) - (1/32)(x-4)^2 + (3/128)(x-4)^3 - (15/512)(x-4)^4

7. Use the Taylor polynomial approximation to estimate the square root of 3:

  P4(3) ≈ 2 + (1/4)(3-4) - (1/32)(3-4)^2 + (3/128)(3-4)^3 - (15/512)(3-4)^4

  Simplifying the expression, we get:

  P4(3) ≈ 2 + (-1/4) + (1/32) + (-3/128) + (15/512)

  P4(3) ≈ 1.7321

Therefore, the Taylor polynomial of degree 4 centered at a = 4 approximates the square root of 3 to be approximately 1.7321.

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\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

x = 36 Answer

By Pythagoras Theorem

The number of people who would prefer Choco chocolate chip  is 120.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

In order to determine the number of people who would prefer Choco chocolate chip , multiply the given ratio of people who prefer Choco chocolate chip by the total number of people in the group.

The number of people who would prefer Choco chocolate chip = (ratio of people who prefer choco / sum of ratios) x number of people

(3/5) x 200 = 120

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If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means is normal if populations are non normal and the sample sizes are large.

To test hypotheses about the difference between two populations means we deal with the following three cases.

1) both the populations are normal with known standard deviations.

2)both the populations are normal with unknown standard deviations.

3) both the populations are non normal in which case both the  sample sizes are necessarily large.

So, If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means is normal if populations are non normal and the sample sizes are large.

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Answer:

40° or 2π/9 rad

Step-by-step explanation:

Let f(x) = 0 and solve

2cos (3x) + 1 = 0

2cos (3x) = -1

cos (3x) = -1/2

3x = arccos (-1/2) = 120

x = 40° or 2π/9 rad

Answer:

D

Step-by-step explanation:

(x1 + x2)/2, (y1 + y2)/2

(-6 + 10)/2, (-3 + 9)/2

4/2, 6/2

(2, 3) = Midpoint

(2,3) (10,9)

2+10/2, 3+9/2

12/2, 12/2

6,6

Answer:

D

Step-by-step explanation:

Answer:

200 feet

Step-by-step explanation:

Subtract 500 - 300 = 200

Answer:

The temperature of the oven after 6 minutes is 125 degrees and after 10 minutes its 165 degrees.

Step-by-step explanation:

10 x 6 = 60

60+65=125

10 x 10 = 100

100+65=165

Answer: 35 cm^2

Step-by-step explanation:

The area of a triangle is found by base * height divided by 2.

Base = 10

Height = 7

So, plug those values into the equation and you get:

10*7/2 = 35

Essentially, the formula for the area of a triangle is just dividing the formula for the area of a rectangle by 2, because two triangles make up one rectangle.

Answer:

Step-by-step explanation:

We are given with a triangle whose Height is 7 cm and base is 10 cm.

We have to calculate the Area of triangle.

As we know that area of triangle is calculated by,

Area = ½ × base × height

Putting the required values we get,

Area = 1/2 × 7 × 10

Area = 7 × 5

Area = 35 cm².

Hence, The area of the triangle is 35 cm².

Answer:

23 or 22....

Step-by-step explanation:

because he got 3 questions wrong sooooo yeah... ya✋

Answer:

The student had a total of 25 questions on his test.

Step-by-step explanation:

Given that:

Number of questions answered correctly in the test = 20

Percentage scored in the test = 80%

Let,

x be the total number of questions on test.

We know that 80% of the test is 20 questions, therefore,

80% of x = 20

\(\frac{80}{100}x=20\\0.8x=20\)

Dividing both sides by 0.8

\(\frac{0.8x}{0.8}=\frac{20}{0.8}\\x=25\)

Hence,

The student had a total of 25 questions on his test.

Answer:

d(m) can range up to 1500 meters

Step-by-step explanation:

multiply 20 by 75 since she will be swimming at a constant speed of 75 for 20 minutes

Answer:

the answer is B

Step-by-step explanation:

Answer:

11.

\(1 \times \frac{3}{8} \)

12.

\(2 \times \frac{5}{6} \)