A large emerald with a mass of 378.24 grams was recently discovered in a mine. If the density of the emerald is 2.76 grams over centimeters cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.

Answer:

package with 2.09 pounds

Step-by-step explanation:

When rounding to the nearest whole number, if the first number after the decimal point is equal or greater than 5, add 1 to the number before the decimal. If this is not the case, add 0 to the number before the decimal point.

to round 2.56 to the nearest whole number equals 3.

While to round 2.09 to the nearest whole number equals 2.

Because Emma needs 2 pounds, she would go with 2.09 pounds

Answer:

the value of x is 9, in this expression

Step-by-step explanation:

Answer:

Don't have an answer but I will explain what to do.

Step-by-step explanation

You're going to mark the point's on your graph paper, then make a right triangle, after that you're going to count over how many square's there are until you run to the end of the right triangle and also do that for both sides. After you found out what the number is you are going to multiply that number by it for both of them. Then after you found that out your going to take your calculator and press 2nd and X2 and put your number after that. Hope this helps!

In the given scenario ladder is 6.52 feet long.

Given that,

The angle between ground and ladder = 62 degree

The distance of ladder from ground and ladder = 3 feet

We have to find the length of  ladder.

Since we know that,

The trigonometric ratio

cosθ = adjacent/ Hypotenuse

Here we have,

Adjacent =  3 feet

Hypotenuse = length of ladder

Thus to find the length of ladder we have to find the value of hypotenuse.

Therefore,

⇒ cos62 = 3/ Hypotenuse

⇒    0.46 = 3/ Hypotenuse

⇒ Hypotenuse =  3/0.46

                          = 6.52

Thus,

length of ladder  = 6.52 feet.

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Answer:

$18.84

Step-by-step explanation:

volume = πr²L = (3.14)(1²)(12) = 37.68 cm³

37.68 cm³ x 0.50 per cm³ = $18.84

Answer:

the differentiation d/dx will be ..... -5x^-6

1. The vertices of image are: N′(1, 2), M′(−2, 1), O′(−1, 3), graph is represented below.

2. The correct answer is (d) x-axis.

3. Line of reflection that produces Y'(9, 3) is the vertical line x = 0.

A line of reflection is a line that acts as a mirror, reflecting a point, a line segment, or a geometric shape over the line.

1. Keep in mind the following when reflecting over a vertical line in the form:  x = a is

\((x, y)\) → \((-x + 2a, y)\)

For reflected over x = -2, so a = -2, apply the above rule;

\((x, y)\) → \((-x + 2(-2))\)

\((x, y)\) → \((-x -4)\)

Apply the preimage reflection over x = −2

N(−5, 2) →  N′ (-(-5)-4, 2) →  N′(1, 2)

M(−2, 1)  → M′(-(−2)-4, 1)  → M′(-2, 1)

O(−3 , 3)  → O′(-(−3)-4, 3) → O′(−1, 3)

Therefore, the vertices of image are: N′(1, 2), M′(−2, 1), O′(−1, 3)

2. For graph ABCD;

Let's label the vertices of the original polygon as A(-6, -2), B(-4, 5), C(1, 5), and D(-1, -2). The vertices of the image polygon are A'(-6, 2), B'(-4, -5), C'(1, -5), and D'(-1, 2).

The midpoint of AA' is ((-6+(-6))/2, (-2+2)/2) = (-6, 0)

The midpoint of BB' is ((-4+(-4))/2, (5+(-5))/2) = (-4, 0)

The midpoint of CC' is ((1+1)/2, (5+(-5))/2) = (1, 0)

The midpoint of DD' is ((-1+(-1))/2, (-2+2)/2) = (-1, 0)

As we can see, all the midpoints lie on the line x = -2, which is vertical. Therefore, the line of reflection used to create the image is the vertical line x = -2.

So, the correct answer is (d) x-axis.

3. To determine the line of reflection that produces Y'(9, 3), we need to find the perpendicular bisector of the segment between Y(-9, 3) and Y'(9, 3).

The midpoint of YY' is ((-9+9)/2, (3+3)/2) = (0, 3).

The segment between Y(-9, 3) and Y'(9, 3) has a slope of (3-3)/(9-(-9)) = 0, which means it is a horizontal line.

The perpendicular bisector of a horizontal line is a vertical line passing through its midpoint. Therefore, the line of reflection that produces Y'(9, 3) is the vertical line x = 0.

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The maximum value of the sum of the roots of the equation (x−a) (x−b) + (x−b) (x−c) = 0 is 16.5

Given,

The equation; (x−a) (x−b) + (x−b) (x−c) = 0

We have to find the maximum value of the sum of the roots of the equation

Here, a, b and c be three distinct on-digit numbers;

Now,

(x−a) (x−b) + (x−b )(x−c) = 0

2x² − ax − 2bx − cx + ab + bc = 0

2x² − (a + 2b + c) x + ab + bc = 0

According to Vieta's formulae, the sum of the roots in this quadratic equation is just (a+2b+c) / 2. It is obvious that maximizing the 2b term is necessary for this total to be at its highest level. Consequently, b = 9. (the largest one-digit number). Since both of the coefficients of a and c are equal, their values can be either the second-largest one-digit number (8) or the third-largest one-digit number ( 7 ). This is due to the fact that a, b, and c are three separate one-digit numbers.

Then,

(8+2 × 9+7) / 2 = 16.5

That is,

The maximum value of the sum of the roots of the equation (x−a) (x−b) + (x−b) (x−c) = 0 is 16.5

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Answer: B

Step-by-step explanation:

Answer:

The answer is B. because it matches up with whats written up top

The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.

In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.

Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘

To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘

Therefore, the measure of angle L is 64 degrees.

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

Step-by-step explanation:

Answer: CLICK TO VIEW

16x^3+5x?

Using Hypothesis testing,

a) Two samples are independent.

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ : an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Null hypothesis is accepted.

so, an expectant mother's cigarette smoking has no effect on the bone mineral.

We have given that,

A study which is conducted for check an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

For new-born whose mother's cigarette smoking

sample size , n₁= 77

X-bar, x₁-bar = 0.098 g/cm

standard deviations, s₁ = 0.026 g/cm

For new-born whose mother did not cigarette smoking

sample size , n₂ = 161

standard deviations, s₂ = 0.025 g/cm.

mean (X-bar) , x₂-bar = 0.095 g/cm

a) the two samples are independent since they are different types of mothers, smoking mothers and non smoking mothers

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ: an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Test statistic:

t = (x₁-bar - x₂-bar )/S (√1/n₁+1/n₂)

where , S = √(s₁²(n₁ - 1) + s₂²(n₂ -1))/n₁+n₂ - 2

S = √((0.026)²(76) +(0.025 )²(160))/236

= 0.0253

then, t = (0.098 - 0.095 )/0.0253(√1/77 +1/161 )

=> t = 0.859

Using the critacal table critical t is

Critical t = ±1.970065

Degrees of freedom =236.0000

P-Value=0.3935 which is greater than α(0.05),

So , we accept H₀

Thus, an expectant mother's cigarette smoking has not effect on the bone mineral content of her otherwise healthy child.

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The number 9550000 can be arranged in a total of 8!/(4!4!) = 70 different ways.

Digits are numerals or numbers used for counting, measuring, and representing quantities. They are the building blocks of mathematics, and are used to express amounts, relationships, and orders of magnitude. Digits are also used in computers and other digital devices to store and communicate information.

The 8 digits of 9550000 can be arranged using the formula for permutation: nPr = n!/(n-r)!

In this case, n = 8 and r = 8. So, the number of permutations of the 8 digits of 9550000 will be 8!/(8-8)! = 8!/(0!) = 8! = 40320.

However, we need to account for the fact that there are 4 zeros in the number 9550000. To do this, we need to divide the number of permutations by 4! (factorial of 4) to account for the 4 identical digits.

Therefore, the total number of ways the digits in the number 9550000 can be arranged is 40320/4! = 70.

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According to the Technological Design Process, Sally and Juan's next step should be C. Evaluating the design.

After testing their plane and achieving an average flight time of ninety-two seconds, it is important for them to evaluate the design and performance of their plane. This evaluation will help them assess the success of their modifications and determine if any further improvements can be made.

By evaluating the design, they can analyze the factors that contribute to the plane's performance, identify any weaknesses or areas for improvement, and gather feedback on the design from others, such as their science teacher or classmates. This evaluation process will provide valuable insights and inform their next steps in refining the plane to meet the challenge requirements.

Once they have completed the evaluation and gathered feedback, they can then proceed with further iterations of the design, incorporating any necessary changes or improvements to enhance the plane's flight performance.

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Complete question is below

Sally and Juan’s science teacher challenged her students to build a paper airplane that would stay airborne for ninety seconds. The students have two days to design and test their planes. The assignment will end with a “fly-off.” First Sally and Juan researched plane designs. Then they built their first plane. Whenever they tested the plane, it would take a nose dive straight into the floor. They changed the design by reshaping the nose of the plane and adding some weight to the tail. The plane flew but did not get very far. Finally, they tried to change the way they threw the plane. After many tries, their plane stayed in the air for an average of ninety-two seconds.

According to the Technological Design Process, what should their next step be?

A. Designing a product C. Evaluating the design

B. Identifying a problem D. Implementing (testing) the design

The discussed topic revolves around physics, emphasizing the application of aerodynamics principles in the creation and adjustment of paper airplanes to improve their in-air performance.

The subject of this text is physics, more specifically, the principles of aerodynamics involved in the flight of paper airplanes. Sally and Juan's initially unsuccessful planes underwent tweaks to their design, signifying an application of the method of trial and error in engineering and physics to improve performance. Their final achievement of a plane that stays airborne for ninety-two seconds implied understanding and application of key principles of aerodynamics, such as balance, center of gravity, lift, and thrust. These principles influenced how they reshaped the nose of the plane, added weight at the tail, and adjusted the way the plane was thrown - all of which contributed to the plane's improved flight time.

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We were given that:

At equilibrium, we have:

The rectangular coordinates of the points of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ), the equations can be converted to rectangular form. However, solving the resulting system of equations algebraically may be challenging. Alternatively, graphing the polar curves and visually identifying the points of intersection can provide an effective method.

To find the rectangular coordinates of the points of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ), the equations can be converted to rectangular form, the rectangular coordinates of the above points are given below:

For the equation r = 2sin(2θ):

x = 2sin(2θ)cos(θ)

y = 2sin(2θ)sin(θ)

For the equation r = 2sin(θ):

x = 2sin(θ)cos(θ)

y = 2sin^2(θ)

The rectangular coordinates of the point(s) of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ) can be found by converting the polar equations to rectangular form and solving for the x and y coordinates.

To convert the polar equations to rectangular form, we can use the relationships x = rcos(θ) and y = rsin(θ). Substituting these expressions into the given polar equations, we get:

For the equation r = 2sin(2θ):

x = 2sin(2θ)cos(θ)

y = 2sin(2θ)sin(θ)

For the equation r = 2sin(θ):

x = 2sin(θ)cos(θ)

y = 2sin^2(θ)

To find the points of intersection, we need to set the x and y coordinates of both equations equal to each other and solve for θ. However, solving this system of equations algebraically can be complex due to the trigonometric functions involved.

Graphing the polar curves and visually inspecting the points of intersection may provide a more intuitive approach to finding the rectangular coordinates. By plotting both polar curves on a graph, the points where the curves intersect can be determined by their shared coordinates.

In summary, to find the rectangular coordinates of the points of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ), the equations can be converted to rectangular form. However, solving the resulting system of equations algebraically may be challenging. Alternatively, graphing the polar curves and visually identifying the points of intersection can provide an effective method.

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The inverse function theorem states that if f is a differentiable function with a nonzero derivative at a point x, then there exists a neighborhood of x where f is invertible and the inverse function g is also differentiable.

If f has k continuous derivatives, then we can apply the theorem k times to obtain a neighborhood of x where f is k times differentiable and invertible with a k times differentiable inverse function g. To show that g also has k continuous derivatives, we can use induction.

For k = 1, we know that g'(y) exists and is continuous by the inverse function theorem. Now assume that g has k continuous derivatives, and let's show that g has (k+1) continuous derivatives. By the chain rule, we have (g o f)(x) = x, which implies that (g' o f)(x) f'(x) = 1. Differentiating both sides with respect to x, we get (g'' o f)(x) f'(x)^2 + (g' o f)(x) f''(x) = 0. Solving for (g'' o f)(x), we obtain (g'' o f)(x) = - (g' o f)(x) f''(x) / f'(x)^2.

Since f has k continuous derivatives, we know that f'' is continuous. By the induction hypothesis, g' o f has k continuous derivatives. Since f' is nonzero, we know that f' is continuous and hence 1/f'(x)^2 is also continuous. Therefore, (g'' o f) is continuous as a product of continuous functions, and g has (k+1) continuous derivatives.

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A. Find the unknown term of each proportion.

1. Answer: X=5

Step-by-step explanation:

x/7=15/21 ==> 21x=7(15) ==> 21x=105

21x/21=105/21 ==> x=5

2. Answer: X=40.5

Step-by-step explanation:

27/x=x/3 ==> 27(3)=x(x) ==> 81=2x

81/2=2x/2 ==> x=40.5

3. Answer: X=16

Step-by-step explanation:

8/x+2=4/9 ==> 8(9)=4(x+2) ==> 72=4x+8

72-8=4x+8-8 ==> 64=4x ==> 64/4=4x/4 ==> x=16

4. Answer: X=8

Step-by-step explanation:

3/x=30/80 ==> 3(80)=30x ==> 240=30x

240/30=30x/30 ==> x=8

5. Answer: M=56

Step-by-step explanation:

m/8=m+7/9 ==> 9m=8(m+7) ==> 9m=8m+56

9m-8m=8m-8m+56 ==> m=56

B. Solve the following.

1. Answer: 80 and 100

Step-by-step explanation:

4:5 ==> 4x+5x=180 ==> 9x=180

9x/9=180/9 ==> x=20

4(20)= 80            5(20)=100

2. Answer: 235.29

Step-by-step explanation:

3400/8 ==> 425

100,000/425= 235.29

Answer:

y = -9

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

since 2y is adding to positive 6 we take 6 to the right side where there its like term 12. we subtract 6 from 12 which is giving us 6. we are remaining with 2y=6 we divide both sides by 2 giving us y=3

answer is x=8

hope that helps lol

It will take 15 months for the number of basic subscriptions to match the number of deluxe subscriptions.

Let's denote the number of months passed by "m".

In m months, the number of basic subscriptions will be 288 - 5m (since 5 basic subscriptions are decreasing each month), and the number of deluxe subscriptions will be 93 + 8m (since 8 deluxe subscriptions are increasing each month).

We want to find out when the number of basic subscriptions will match the number of deluxe subscriptions, so we can set the two expressions equal to each other:

288 - 5m = 93 + 8m

We can then solve for m:

288 - 93 = 8m + 5m

195 = 13m

m = 15

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Answer:

A

Step-by-step explanation:

The picture is how you solve it

Answer:

V =904.7786842 m^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The diameter is 12 so the radius is  d/2 = 12/2 = 6

V = 4/3 pi 6^3

V = 288 pi

Let pi = 3.14

V =904.32

If we use the pi button

V =904.7786842

text mentions a scale model... wich we can't see here unless you post it

Answer:

Step-by-step explanation:

ok i try if i can

The probability that one or fewer workers will leave within the first year is 0.472

To calculate the probability, we sum up the probabilities of exactly 0 and exactly 1 employee leaving within the first year.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Using the binomial probability formula, we can calculate each term:

P(X = 0) = (36 choose 0) * (0.18^0) * (0.82^36)

P(X = 1) = (36 choose 1) * (0.18^1) * (0.82^35)

Let's calculate these probabilities:

P(X = 0) = (1) * (1) * (0.82^36) = 0.155

P(X = 1) = (36) * (0.18) * (0.82^35) = 0.317

Now, we can sum up these probabilities:

P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.155 + 0.317 = 0.472

Therefore, the probability that one or fewer workers will leave within the first year is 0.472 (rounded to three decimal places).

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Answer:

\(\\ m=3\)

Step-by-step explanation:

\(\\ m=\frac{y_2-y_1}{x_2-x_1}\\\\ m=\frac{2-(-1)}{0-(-1)}\\\\ m=\frac{2+1}{1}\\\\ m=3\)

Hope this helps you. Have a nice night.

Answer:

w = 7 feet

Step-by-step explanation:

Volume of a rectangle prism = length × width × height

Length = 7 feet

Width = ?

Height = 3 1/4 feet

Volume = 159 1/4 cubic feet

Volume of a rectangle prism = length × width × height

159 1/4 = 7 × w × 3 1/4

637/4 = 7 × w × 13/4

637/4 = 7 × 13/4 × w

637/4 = 91/4w

w = 637/4 ÷ 91/4

= 637/4 × 4/91

= 637*4 / 4*91

= 2548 / 364

w = 7 feet

Answer:

Step-by-step explanation:

convert 3 5/6 and 3 3/5 into a improper fraction

x=23/6 and y = 18/5

23/6 ÷ 18/5 multiply both sides by 6 to cancel it out

23 ÷ 108/5 multiply both sides by 5 to cancel it out

answer 115/108

Answer:

1 1/45

Step-by-step explanation: