James has 14{,}500\text { g}14,500 g14, comma, 500, start a text, space, g, end text of sand in his sandbox. He brings home another 7{,}400\text { g}7,400 g7, comma, 400, start a text, space, g, end text of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now? \text{kg}kg

Answer:

X=5

15x=75

Step-by-step explanation:

Answer:

6cm

Step-by-step explanation:

Given data

Width= 4.6cm

Length= 9cm

Volume= 82.8cm^3

The expression for the volume is given as

V= lwh/3

82.8= 9*4.6*h/3

cross multiply

82.8*3= 9*4.6*h

248.4= 41.4h

h= 248.4/41.4

h= 6cm

Complete question :

A chef at a restaurant uses 12 pounds of butter each day. About how many grams of butter does the chef use each day? use the conversion factors 16 oz/1 lb and 28.35 grams/1oz

Answer:

5,424 grams

Step-by-step explanation:

To convert using the conversion factor :

Number of pounds of butter * (16 oz/1) * (28.35) /1

Hence,

12 * 16oz/ 1 * 28.35/1

(12 * 16 * 28)

= 5,424 grams

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost per bracelet = 1.50

Cost per necklace = 2.25

Let :

number of necklace = n

Number of bracelet = b

Cost equation C ;

C = 1.5b + 2.25n

Number of necklace that could be sold for exactly $12

5 necklaces and 1 bracelet :

1.5 + 2.25(5) = 12.75

•2 necklaces and 5 bracelets:

1.5(5) + 2.25(2) = 12

• 3 necklaces and 3 bracelets

1.5(3) + 2.25(3) = 11.25

• 4 necklaces and 2 bracelets

1.5(2) + 2.25(4) = 12

• 3 necklaces and 5 bracelets

1.5(5) + 2.25(3) = 14.25

• 6 necklaces and no bracelets •

1.5(0) + 2.25(6) = 13.5

No necklaces and 8 bracelets

1.5(8) + 2.25(0) = 12

Amount charged per Tshirt = c

Setup fee = $40

Number of students in drama club = 21

Total cost of order = $187

Calculate C ;

Total order cost = set up fee + (cost per shirt * number of shirts)

Total order cost = 40 + 21c

187 = 40 + 21c

187 - 40 = 21c

147 = 21c

c = 147 / 21

C = 7

Hence cost per shirt = $7

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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The gross capital gain is option (D) $4330

Gross capital gain is the total amount of profit that an investor makes when they sell an asset, such as stocks, real estate, or other investments, for a higher price than the purchase price.

Zach's gross capital gain is the difference between the selling price and the purchase price of the shares.

Purchase price of 200 shares = 200 x $21.35 = $4,270

Selling price of 200 shares = 200 x $43 = $8,600

Therefore, the gross capital gain is

= $8,600 - $4,270

Subtract the numbers

= $4,330

Therefore, the correct option is (D) $4,330.

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To find two positive numbers with a product of 324 and whose sum is a minimum, we can use the fact that the two numbers that minimize the sum are the ones that are closest in value. Therefore, we need to find the square root of 324, which is 18. The two positive numbers are 18 and 18, which are already in increasing order.

We can then use 18 as one of the numbers and divide 324 by 18 to get the other number, which is 18 as well. Therefore, the two positive numbers with a product of 324 and whose sum is a minimum are 18 and 18.

To find two positive numbers with a product of 324 and whose sum is a minimum, follow these steps:

Step 1: Identify the required conditions.
- The product of the two numbers must be 324.
- The sum of the two numbers should be minimized.

Step 2: Write the given conditions as equations.
Let the two numbers be x and y.
- x * y = 324
- We need to minimize x + y.

Step 3: Rewrite one equation to solve for one variable.
From the first equation, we can solve for y:
- y = 324 / x

Step 4: Substitute the solved variable in the second equation.
- x + (324 / x) = x + y

Step 5: Find the minimum sum by considering the factors of 324.
- Factors of 324 are: (1, 324), (2, 162), (3, 108), (6, 54), (9, 36), and (18, 18).

Step 6: Calculate the sums of the factors.
- Sum of (1, 324) = 325
- Sum of (2, 162) = 164
- Sum of (3, 108) = 111
- Sum of (6, 54) = 60
- Sum of (9, 36) = 45
- Sum of (18, 18) = 36

Step 7: Identify the pair with the minimum sum.
The pair (18, 18) has the minimum sum of 36.

So, the two positive numbers are 18 and 18, which are already in increasing order.

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Answer:

5%

Step-by-step explanation:

Let's first convert 7 hours to minutes:

1 hour = 60 minutes

7 hours = 60*7 minutes = 420 minutes

Now we find the percentage...

21=n%*420

21=n/100*420

21=21n/5

Multiply both sides by 5

105=21n

Divide boths sides by 21

n=5

5% of the 7 hours

Answer:

336

Step-by-step explanation:

Using arithmetic operation, the number of oak trees on the land which is of identical habitat would be 336.

Using the relation:

5 acres = 42 trees - - - - - (1)

40 acres = t - - - - - (2)

Cross multiply

5t = 42 × 40

5t = 1680

t = 1680 / 5

t = 336 oak trees

Therefore, the Number of oak trees would be 336

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Answer:

3 x 180=540

540/5 =108

Answer:

There are 10 cards in the stack, and 5 of them are odd (1, 3, 5, 7, and 9). There are 3 cards (1, 2, and 3) that are less than 4. Since we are replacing the first card before selecting the second, the outcomes are independent and we can multiply the probabilities of each event.

The probability of selecting an odd card on the first draw is 5/10, or 1/2.

The probability of selecting a card less than 4 on the second draw is 3/10, since there are 3 cards that meet this condition out of a total of 10.

Therefore, the probability of selecting an odd card on the first draw and a card less than 4 on the second draw is:

(1/2) x (3/10) = 3/20

So the probability of selecting an odd card on the first draw and a card less than 4 on the second draw is 3/20.

Step-by-step explanation:

Answer:

3/20.

Step-by-step explanation:

To find the probability of two independent events happening together, we multiply their individual probabilities. The probability of the first card being an odd number is 5/10, because there are 5 odd numbers out of 10 cards. The probability of the second card being less than 4 is 3/10, because there are 3 cards (1, 2, and 3) that are less than 4 out of 10 cards. Therefore, the probability of the first card being an odd number and the second card being less than 4 is:

5/10 x 3/10 = 15/100

We can simplify this fraction by dividing both the numerator and denominator by 5:

15/100 = 3/20

So, the final answer is 3/20.

Received message. To find the probability of two independent events happening together, we multiply their individual probabilities. The probability of the first card being an odd number is 5/10, because there are 5 odd numbers out of 10 cards. The probability of the second card being less than 4 is 3/10, because there are 3 cards (1, 2, and 3) that are less than 4 out of 10 cards. Therefore, the probability of the first card being an odd number and the second card being less than 4 is: 5/10 x 3/10 = 15/100 We can simplify this fraction by dividing both the numerator and denominator by 5: 15/100 = 3/20 So, the final answer is 3/20.

Answer:

1. 60 2. 120

Step-by-step explanation:

plz give brailiest

Answer:

1. 60

2. 120

Step-by-step explanation:

the opposite angle is 60

180 - 60 = 120

Step-by-step explanation:

You need to find the total number of students the pie chart will represent:

17 + 35 + 38 = 90

So you know, 360° represents 90 people

You can then find out the angle for each person: 360 ÷ 90 = 4

Each person is 4°

a)

1. 17 people took French so you would do 4° × 17 = 68°

2. 35 people took German so you would do 4° × 35 = 140°

3. 38 people took Italian so you would do 4° × 38 = 152°

b)

17 out of 90 people chose french so the probability would be 17/90

1. Affordably presented by objects or environments, such as a ball providing the opportunity to practice grasping, throwing, and catching.
2. Individuals perceive these affordances and decide to engage with them, based on their current motor abilities and developmental stage.
3. Through interacting with affordances, individuals practice and develop their motor skills by attempting, refining, and mastering the actions associated with affordance.

Affordably is a term used to describe the relationship between an individual's perception of their environment and their ability to interact with it. In terms of motor development, affordances refer to the opportunities for movement that the environment presents. These opportunities can be both physical and social and can include objects to manipulate, spaces to explore, and people to interact with.

The concept of affordance is important for motor development because it provides children with opportunities to practice and refine their motor skills. As children explore their environment, they are able to perceive the various affordances that it presents, and they can use these affordances to develop their motor skills.

For example, a child may perceive that a box can be used as a stepping stool, and they may use this affordance to climb up onto a table. In doing so, they are developing their balance, coordination, and strength. Similarly, a child may perceive that a ball can be thrown, caught, and bounced, and they can use these affordances to develop their hand-eye coordination, spatial awareness, and timing.

Overall, affordance plays an important role in motor development by providing children with opportunities to explore and interact with their environment and to develop their motor skills in the process.
Affordance contributes to motor development by providing opportunities for individuals to interact with their environment, which in turn helps them develop and refine their motor skills. Affordance refers to the potential actions or uses that an object or environment provides to an individual. In the context of motor development, affordances can be seen as opportunities for practicing and enhancing motor abilities.


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Answer:

4.5

Step-by-step explanation:

I just use a calculator for this.

2 sqrt 5 = 4.4721

If we round off to the nearest tenth, it would be 4.5.

Answer:

Solution given:

2√5 =4.5 is your answer.

The probability that a student ordered a hamburger and a Slurpee is Option D) 23 over 137.

Generally, To find the probability that a student ordered a hamburger and a Slurpee, we need to divide the number of students who ordered a hamburger and a Slurpee by the total number of students.

From the table, we can see that 23 students ordered a salad and a water.

There were a total of 38 + 12 + 14 + 18 + 28 + 7 + 23 = 137 students in the cafeteria.

Therefore, the probability that a student ordered a salad and a water is 23/137, or about 0.17.

Therefore, the correct answer is d) 23 over 137.

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The concentration of lycopene solution in the spectrophotomer cell before isomerization, given that the molar absorptivity of lycopene at 471 nm is 0.00001 M.

To calculate the concentration of lycopene solution in the spectrophotometer cell before isomerization, we will use the Beer-Lambert Law. The Beer-Lambert Law states that the absorbance (A) of a solution is directly proportional to its concentration (c) and path length (l), and is expressed as:

A = ε × c × l

where A is the absorbance, ε is the molar absorptivity (given at 471 nm), c is the concentration, and l is the path length of the spectrophotometer cell (usually in cm).

Follow these steps to calculate the concentration:

1. Measure the absorbance (A) of the lycopene solution at 471 nm using a spectrophotometer.

2. Determine the path length (l) of the spectrophotometer cell. This is typically given by the manufacturer or can be measured manually (usually 1 cm).

3. Use the given molar absorptivity (ε) of lycopene at 471 nm.

4. Rearrange the Beer-Lambert Law equation to solve for the concentration (c):

c = A / (ε × l)

5. Plug in the measured absorbance (A), given molar absorptivity (ε), and path length (l) into the equation to calculate the concentration of the lycopene solution before isomerization.

Let's assume that the path length of the cell is 1 cm. Therefore, we can rearrange the Beer-Lambert Law to solve for the concentration, which gives us c = A/εl. Let's say that the absorbance of the lycopene solution before isomerization is 0.5. Then, the concentration of the lycopene solution would be: c = 0.5/(50,000 M^-1cm^-1 x 1 cm) = 0.00001 M. Therefore, the concentration of lycopene solution in the spectrophotometer cell before isomerization is 0.00001 M.

By using the Beer-Lambert Law and following these steps, you can accurately determine the concentration of lycopene in the spectrophotometer cell before the isomerization process occurs.

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Answer:

The slope is 10

The y-intercept is -5

Answer:

Since y=10x-5 is already written in slope-intercept form, I am assuming you want the slope and y-intercept. Slope is 10, and the y-intercept is (0,-5)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A high correlation is insufficient to establish causation on its own.

The equation of a circle can be written as\((x - h)^2 + (y - k)^2 = r^2,\)where (h, k) is the center of the circle and r is the radius.

Circle's basic equation is represented by:

\((x-h)^2 + (y-k)^2 = r^2\)

where the radius is r and the circle's center's coordinates are (h,k).

Let's first consider what a circle is before determining its equation. A circle is a collection of all points in a plane that is uniformly distanced from a fixed point. The fixed point is referred to as the circle's center. The radius of a circle is the separation between the center and any point along its circumference. In this post, we'll go over what a circle equation in standard form is and how to calculate a circle's equation when the origin serves as its center.
Therefore, the equation of a circle whose center is (4, -5) and which has a radius of 3 is:

\((x - 4)^2 + (y + 5)^2 = 3^2\)
Simplifying and expanding the equation gives:

\((x - 4)^2 + (y + 5)^2 = 9\)

And that is the equation of the circle.

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There are three urns, A, B, and C. The probability that the chosen ball came from urn B, given that it was yellow is 0.3036

The formula for the conditional probability is:

P(A|B) = [P(B |A) P(A)] / P(B)

Where:

P(A |B) is read as probability of A given B occurs.

In the given problem:

Urn A contains 6 yellow balls + 11 red balls

Urn B contains 9 yellow balls + 10  red balls

Urn C contains  11 yellow balls + 3 red balls

Total balls = 50

total yellow balls = 26

Applying the conditional probability, the probability that the chosen ball came from urn B, given that it was yellow is P(B | yellow)

P(B | yellow) = [ P(yellow | B) P(B)] / P(yellow)

P(B) = 1/3

P(yellow | B) = 9/19

P (yellow) = 26/50

Hence,

P(B | yellow) = [9/19 x 1/3] / (26/50)

                    = 0.3036

Therefore,  the probability that the chosen ball came from urn B, given that it was yellow is 0.3036

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Answer:

\( l(\widehat {KM}) = 15.07 \: units\)

Step-by-step explanation:

\( Central\: angle \:(\theta) = 96\degree \)

Radius (r) = 9 units

\(l(\widehat {KM}) = \frac{ \theta}{360 \degree} \times 2\pi r \\ \\ l(\widehat {KM}) = \frac{96 \degree}{360 \degree} \times 2 \times 3.14 \times 9 \\ \\ l(\widehat {KM}) = \frac{96 }{360} \times 2 \times 3.14 \times 9 \\ \\ l(\widehat {KM}) = \frac{5,425.92}{360}\\ \\ l(\widehat {KM}) = 15.072\\ \\ l(\widehat {KM}) = 15.07 \: units\)

Answer:

Danny owns 15 shirts.

Step-by-step explanation:

We know

Danny has 6 orange-colored shirts; this is 40% of the shirt he owns.

How many shirts does Danny own?

We Take

(6 ÷ 40) x 100 = 15 shirts

So, Danny owns 15 shirts.

Answer:  15 shirts

Step-by-step explanation:

Step 1: We know that Danny has 6 orange shirts, which is 40% of the total number of shirts he owns.

Step 2: To find out the total number of shirts Danny owns, we can use the following formula:

Total number of shirts = (Number of orange shirts ÷ Percentage of orange shirts) × 100

Plugging in the values, we get:

Total number of shirts = (6 ÷ 40) × 100 = 15

Therefore, Danny owns a total of 15 shirts.

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Answer:

No. of Permutations=3360.

Step-by-step explanation:

\(watch.some.anime\)

The number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

The word is:

"believable"

Total number of letters = 10

b repeated two(2) times

e repeated three(3) times

l repeated two(2) times

No. of Permutations = 10!/(2!3!2!)

No. of Permutations = 15,1200

Thus, the number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

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Two shapes of the same size and shape are congruent. There are five conditions or rules for two triangles to be congruent. They are SSS, SAS, ASA, AAS, and RHS joint properties.

Triangle Congruence:

The congruence of two or more triangles depends on the measurements of their sides and angles. The three sides of a triangle determine its size, and its three angles determine its shape.

Two triangles are considered congruent if their pairs of corresponding sides and corresponding angles are equal.

SSS (side-side-side) :

According to this criterion, two triangles are congruent if his three sides of one triangle are equal to the corresponding sides of the other triangle.

ASA ( Angle-Side-Angle ) :

According to the ASA criterion, two triangles are congruent if any two angles and the inner side of one triangle between them are equal to the corresponding angles and inner sides of the other triangle.

SAS (Side Angle Side)

According to this criterion, two triangles are congruent if two sides and included angles of one triangle are equal to the corresponding sides and included angles of the other corresponding triangle.

AAS ( Angle - Angle Side) :

According to the AAS standard, two triangles are congruent if any two angles and the excluded side of one triangle are equal to the corresponding angles and the excluded side of the other triangle

RHS (Right Angle Two-sided)

According to this criterion, two triangles are congruent if the hypotenuse and side of one right triangle are equal to the hypotenuse and corresponding side of another right triangle.

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The length of the missing side is approximately 6.2 cm.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In mathematical terms, it can be written as:

c² = a² + b²

Where c is the length of the hypotenuse and a and b are the lengths of the other two sides. Using this equation, we can solve for the missing side.

In your case, you have been given the length of the hypotenuse, c, as 8 cm, and one of the other sides, a, as 5 cm. Let's represent the missing side with b. Substituting the given values into the equation, we get:

8² = 5² + b²

Simplifying the equation, we get:

64 = 25 + b²

Subtracting 25 from both sides, we get:

39 = b²

Taking the square root of both sides, we get:

b ≈ 6.2

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Complete Question:

Find the missing side when the value of the side is 5 cm and the hypotenuse is 8 cm. Round to the nearest tenth.

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300