One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.

Squaring is the process of multiplying an integer by itself. The solution of the given equation is x=126.

A number's square root is a number that when multiplied by itself, equals the required value. Squaring is the process of multiplying an integer by itself.

The given equation is ;

\(\rm \sqrt{2x+4} = 16\)

On squaring both sides we get,

\(\rm 2x+4=256 \\\\ 2x = 256-4 \\\\ 2x= 252 \\\\ \rm x =126\)

Hence the solution of the given equation is x=126.

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For the interval estimation, the proper distribution to use is the d. t distribution with 24 degrees of freedom.

Proper distribution is one that integrates (inside the case of a chance density function for a continuous random variable) or sums (inside the case of a probability mass characteristic for a discrete random variable) to unity. In keeping with possibility theory, all possibility distributions should have this property.

A proper distribution function is a mathematical expression that describes the possibility that a system will tackle a specific fee or set of values. The conventional examples are associated with games of risk.

Distributions (or generalized features) are mathematical gadgets that permit the extension of the concept of the derivative to a miles larger class of (now not always non-stop) capabilities.

Disclaimer: The question is incomplete. Please read below to find the missing content.

Question: From a population that is normally distributed, a sample of 25 elements is selected and the standard deviation of the sample is computed. For the interval estimation of μ, the proper distribution to use is the

a. normal distribution

b. t distribution with 25 degrees of freedom

c. t distribution with 26 degrees of freedom

d. t distribution with 24 degrees of freedom

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Answer: A. find comfort in talking with people that have similar experiences

Step-by-step explanation: A group can be considered to be a gathering which comprises of two or people working or coming together for a common purpose. In the aspect of mental psychology, the group method of applying therapeutic measures is usually applied which involves the coming together of a group of mentally or psychologically traumatized person with the aim of allowing members to share their experience among people who have gone through something simailr in other ot make them more comfortable while sharing their experience since all group members would have passed through something similar or worse. Hence, it gives patients more freedom to express themselves.

Answer: The answer would be A :3

Hope this helps :D

Answer:

\(\longmapsto \sf \: \: - 14x \cdot\sqrt{14x}\)

Step-by-step explanation:

\( \sf \: if \: x > 0 \)

\( \sf 6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } \)

\( \sf Let's \: solve \: for \sqrt{56 {x}^{3} } \: first, \\\longmapsto \sf \sqrt{56 {x}^{3} } = \sqrt{14 \times 4 {x}^{2} \times x } \\ \sf \longmapsto \sqrt{56 {x}^{3} } = 4x \sqrt{14x} \)

Substituting above value in given equation,

\(\longmapsto \sf 6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } \\ \longmapsto\sf 6x \sqrt{14x} - 5 \times 4x \sqrt{14x} \\ \longmapsto \sf \: 6x \sqrt{14x} - 20x \sqrt{14x} \\\longmapsto \sf \: \sqrt{14x}(6x - 20x) \\ \longmapsto \sf \: \: - 14x \cdot\sqrt{14x}\)

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Based on the computation, the series \(\sum \frac{(-1)^n}{n^3}\) converges

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

\(\sum \frac{(-1)^n}{n^3}\)

From the above series, we can see that:

Using the above as a guide, we have the following:

We can conclude that the series converges

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Answer:

Step-by-step explanation:

i need it too :(

The three angle bisectors of a triangle are concurrent. Their point of concurrence is called the incenter.

The triangle's three angle bisectors are contemporaneous, which means they cross at the same place.

The incenter is the location where the angle bisectors coincide.

1. The circle's inscribed center is known as the incenter.

2. The incenter is equidistant from the triangle's sides.

More examples of agreement

The centroid is the location where all of a triangle's medians meet.

The triangle's circumcenter is where the perpendicular bisectors of its sides meet.

The intersection of the perpendiculars emanating from the vertices on the opposing sides of a triangle is known as the orthocentre.

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Answer:

5,4

Step-by-step explanation:

Answer:

3:2 i believe

Step-by-step explanation:

9:6

divide by 3

3:2

The binary representations are a) 0.11000110, b) 0.10000010 and c) 0.10100000.

Let's convert the given real numbers to binary with 8 binary places after the radix point.

A. 0.11:

To convert 0.11 to binary, we can use the following steps:

Multiply 0.11 by 2:

0.11 × 2 = 0.22

Take the integer part of the result, which is 0, and write it down.

Multiply the decimal part of the result by 2:

0.22 × 2 = 0.44

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.44 × 2 = 0.88 (integer part: 0)

0.88 × 2 = 1.76 (integer part: 1)

0.76 × 2 = 1.52 (integer part: 1)

0.52 × 2 = 1.04 (integer part: 1)

0.04 × 2 = 0.08 (integer part: 0)

0.08 × 2 = 0.16 (integer part: 0)

0.16 × 2 = 0.32 (integer part: 0)

0.32 × 2 = 0.64 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.11000110

Therefore, the binary representation of 0.11 with 8 binary places after the radix point is 0.11000110.

B. 0.51:

To convert 0.51 to binary, we can use the same steps:

Multiply 0.51 by 2:

0.51 × 2 = 1.02

Take the integer part of the result, which is 1, and write it down.

Multiply the decimal part of the result by 2:

0.02 × 2 = 0.04

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.04 × 2 = 0.08 (integer part: 0)

0.08 × 2 = 0.16 (integer part: 0)

0.16 × 2 = 0.32 (integer part: 0)

0.32 × 2 = 0.64 (integer part: 0)

0.64 × 2 = 1.28 (integer part: 1)

0.28 × 2 = 0.56 (integer part: 0)

0.56 × 2 = 1.12 (integer part: 1)

0.12 × 2 = 0.24 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.10000010

Therefore, the binary representation of 0.51 with 8 binary places after the radix point is 0.10000010.

C. 0.625:

To convert 0.625 to binary, we can use the same steps:

Multiply 0.625 by 2:

0.625 × 2 = 1.25

Take the integer part of the result, which is 1, and write it down.

Multiply the decimal part of the result by 2:

0.25 × 2 = 0.50

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.50 × 2 = 1.00 (integer part: 1)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.10100000

Therefore, the binary representation of 0.625 with 8 binary places after the radix point is 0.10100000.

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Having Tony Stark review the questionnaire enhances construct validity by ensuring the questions accurately measure the intended traits.

By having Tony Stark review the questionnaire that Dr. Bruce Banner is planning to give to a sample of Marvel characters, the type of validity that is enhanced is construct validity.

Construct validity refers to the extent to which a measurement tool accurately assesses the underlying theoretical construct or concept that it is intended to measure.

In this scenario, by having Tony Stark, who is knowledgeable about the Marvel characters and their characteristics, review the questionnaire, it helps ensure that the questions are relevant and aligned with the construct being measured.

Tony Stark's input can help verify that the questions capture the intended traits, abilities, or attributes of the Marvel characters accurately.

Construct validity is crucial in research or assessments because it establishes the meaningfulness and effectiveness of the measurement tool. It ensures that the questionnaire measures what it claims to measure, in this case, the specific characteristics or attributes of the Marvel characters.

By having an expert review the questionnaire, it increases the confidence in the construct validity of the instrument and enhances the overall quality and accuracy of the data collected from the sample of Marvel characters.

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Answer:

1. Reflection across the x-axis:

  1) (-2,-2)

  2) (-1,-4)

  3) (3,-4)

2. Reflect across the y-acis:

  1) (-1,-3)

  2) (-2,1)

  3) (-4,1)

Brainiest PLZZZ

Answer 6

Step-by-step explanation:

= -6 - (-10 + (-2))

= -6 - (-12).

= -6 + 12

= 6

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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The volume of a sphere with a radius of 3cm is 113.04 cm³, which is approximately equal to 36π cm³. So, the correct option is D).

The formula for calculating the volume of a sphere, V = 4/3πr³, is used to find the amount of space enclosed by a sphere with a given radius. In this case, the sphere has a radius of 3cm. By substituting this value into the formula, we can solve for the volume of the sphere.

V = 4/3πr³

V = 4/3 × 3.14 × 3³ = 113.04 cm³

= approximately 36π cm³

The result is 113.04 cm³, which is approximately equal to 36π cm³. This calculation is important in many applications, such as engineering, physics, and mathematics. The correct answer is D).

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_____The given question is incomplete, the complete question is given below:

What is the volume of sphere r = 3cm? responses A 8π cm³ 8 pi, cm³  B 16π cm³ 16 pi, cm³ C 27π cm³ 27 pi, cm³ D 36π cm³

Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

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Answer:

42.39 sq.cm

Step-by-step explanation:

Ф = 135°

r  = 6 cm

Area of the sector = \(\frac{theta}{360}*\pi *r^{2}\\\)

  \(= \frac{135}{360}* 3.14 *6 * 6\\\\= \frac{135}{10}*3.14\\\\= 27 * 1.57\\\\=42.39\)

The area of sector bounded by 135 ° arc is 42.42 cm ².

Step-by-step explanation:

Radius of the circle , r = 6 cm

Angle of the circle, θ = 135 °

Area of circle bounded by a 135 ° arc.

We know that

\(\small \sf \: Area \: of \: sector \: = \frac{θ}{360} \: \times \pi \times r {}^{2} \\ \)

Substitute the values of r and θ , we get

Area of sector =

\(\small \sf \: Area \: of \: sector \: = \frac{135 °}{360} \: \times \pi \times {6cm}^{2}\\ \)

\(\small \sf \: Area \: of \: sector \: = \frac{135°}{360} \: \times \frac{22}{7} \times 6cm \times 6cm \\ \\ \small \: \sf Area \: of \: circle \: = \frac{135}{360} \times \frac{22}{7} \times 36cm {}^{2} \\ \sf \: \: = \frac{135}{10} \times \frac{22}{7} \\ \sf \: = 42.42cm \: {}^{2} \)

Therefore, The area of sector bounded by 135 ° arc is 42.42 cm ².

The dependent variable in the study where participants were instructed to walk an additional 0.5 miles, 1 mile, or 1.5 miles every day, whereas others were told to go about their normal daily routine with no additional exercise is the change in physical fitness level. However, let's first understand:

what a dependent variable is?

Dependent variable: A dependent variable (DV) is a variable in an experiment or study whose variation or outcome is the effect being studied or measured by the researchers. It is what changes as a result of the variation in the independent variable. The researchers compare the results obtained from the dependent variable across the different groups or conditions to draw conclusions about the effect of the independent variable.

In this study, participants were either instructed to walk an additional 0.5 miles, 1 mile, or 1.5 miles every day or go about their normal daily routine with no additional exercise. The physical fitness level is the dependent variable in the study as it is what changes as a result of the variation in the independent variable, which is the walking instruction given to the participants.

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Answer:

its best no to

Step-by-step explanation:

The only thing you can really change is switching subtraction and addiction, or division and multiplication. In the long run though its best just to say with the regural order and its earier later on.

please, (parentheses)

excuse (exponents)

my (multipliction)

dear (division)

aunt (addiction)

sally (subtraction)

Answer:

see explanation

Step-by-step explanation:

4a + 8               4

2a² + 8a            2a

12a² - 8a           4a

4 - 6a                2

Match each expression with its greatest common factor as follows;

4a + 8               4

2a² + 8a            2a

12a² - 8a           4a

4 - 6a                2

The largest number that is found in the common factors is called the greatest common factor.

The given expression are;

4a + 8              

2a² + 8a            

12a² - 8a      

4 - 6a              

The greatest common factor of the expression are as follows;

4a + 8  = 4(a+2) = common factor = 4    

2a² + 8a = 2a(a+4a) = common factor = 2a

12a² - 8a = 4a(3a-2) = common factor = 4a

4 - 6a = 2(2-3a) = common factor = 2

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Answer:January

Step-by-step explanation: if it is asking to explain based on data given, you can show that -11.6<-10.4, but if it is asking based on other information that you recieved, i cant really help other then to tell you to look at the cylces of day and night, because some parts of alaska get no sun for 6 months, so that could be why january is averagly colder

Answer:

27

Step-by-step explanation:

looked on photomath

a. The slope of a line that is parallel to y = 3/5x + 7 is: 3/5.

b. The slope of a line that is perpendicular to y = 3/5x + 7 is: -5/3.

Given a line is represented by the equation, y = 3/5x + 7, the slope (m) of the line is 3/5.

Any line that is parallel to y = 3/5x + 7 will have a slope (m) = 3/5 [same slope value].

On the other hand, any line that is perpendicular to y = 3/5x + 7 will have a slope of -5/3 [negative reciprocal].

Therefore:

a. The slope of a line that is parallel to y = 3/5x + 7 would be: 3/5.

b. The slope of a line that is perpendicular to y = 3/5x + 7 would be the negative reciprocal of 3/5, which is: -5/3.

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Answer:

I can help! What kind of multiplication do you need assistance with?

Step-by-step explanation:

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/4.A spinner is a gambling tool used for games and competitions. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result.

When it stops, a pointer will land on one of many different numbered segments of the spinner, each of which corresponds to a particular reward or consequence. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result. Probability is the study of the likelihood of events taking place.

Probability is expressed as a fraction, decimal, or percentage and is always between 0 and 1. The probability of an event can be calculated using the following formula: Probability = number of favorable outcomes / total number of possible outcomes. Given the spinner has a polka-dot section, 2 white sections, and 1 shaded section, it has a total of 4 sections.

Therefore, the probability of the spinner stopping at a polka-dot section is 1/4.Also, after the first spin, the spinner still has 2 white sections. Therefore, the probability of stopping at a solid white section is 2/4 or 1/2 (since there are only 2 possible outcomes after the first spin).

To determine the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section, we must multiply the probability of each event.1/4 × 1/2 = 1/8

Hence, the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

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The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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Answer:

9

Step-by-step explanation:

7 + (4 x 1/2)

= 7 + 2

= 9

Answer:

9

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

7+(4*1/2)=2+7=9