Someone help im giving brainliest!

Answer:

3.76

Step-by-step explanation:

2.82×12÷9

33.84

3.76

Answer:

the schedule and the algebraic expression

Answer: S<\-2

Hope i was some help.

Step-by-step explanation: sorry I can’t put the right sign my keybored won’t let me but you know what it stands for.

3s+6s</-5(s+2)

start off with -5(s+2) you multiply -5 with s and it is -5s then you do the same for +2 take -5 and multiply by +2 pos times a neg is always a neg so it’s -10.

3s+6<\-5s-10

So you have to get rid of the -5s so your going to do the inverse which is add 5 to -5 and it will get rid of -5s but then you have to add 5 to 3s and that will be 8s.

8s+6</-10

Now your going to get rid of the +6 and to do that you do the inverse you subtract 6 and it will get rid of it now you have to do the same for -10 so you will subtract 6 to -10 and that will equal -16.

Now you have to divide!

8s/8 </ -16/8

And it should equal s <\-2

The final answer will depend on the specific value of p.

Let's say we need to choose a number of strawberries. Then, using the binomial distribution formula, it is possible to determine the likelihood that there will be exactly 2 rotting strawberries among them:

P(exactly two spoiled strawberries) i= (n choose 2) * p^2 * (1-p)^(n-2)

where p is the probability of each strawberry being rotten.

By setting this to 2/35 and figuring out n, we get at:

2/35 = (n choose 2) * p^2 * (1-p)^(n-2)

2/35 = (n choose 2) * p^2 * (1-p)^(n-2)

(2/35) / p^2 = (n choose 2) * (1-p)^(n-2)

It should be noted that p's value is unknown and would need to be determined by estimation or historical data. The final answer will depend on the specific value of p.

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Data:

Loan=$278 at 10%

A simple interest is calculated for payments on the initial capital.

If the total interest was $174.12.

If the interest is on a year. You calculated the interes of one year. The 10% of $278:

In a year the interest is $27.8.

Then, $174.12 divided into $27.8 is the number of years of the loan:

To show that the points a(0,0), b(0,4), and c(4,0) are the vertices of a right triangle, we need to verify if the distance between these points satisfies the Pythagorean theorem. Let's calculate the distance between each pair of points:

- Distance between a and b:

d(ab) = √[(0 - 0)² + (4 - 0)²] = √16 = 4

- Distance between b and c:

d(bc) = √[(4 - 0)² + (0 - 4)²] = √32 = 4√2

- Distance between c and a:

d(ca) = √[(4 - 0)² + (0 - 0)²] = √16 = 4

Now, if the sum of the squares of the two shorter sides (a and c) is equal to the square of the longest side (b), then we have a right triangle. Let's see if this condition holds:

a² + c² = 4² + 4² = 16 + 16 = 32

b² = (4√2)² = 32

Since a² + c² = b², we conclude that the points a(0,0), b(0,4), and c(4,0) form a right triangle.

To show that the points A(0, 0), B(0, 4), and C(4, 0) are the vertices of a right triangle, we can use the distance formula and Pythagorean theorem.

1. Calculate the distances AB, BC, and AC:
AB = √((0 - 0)^2 + (4 - 0)^2) = √(0 + 16) = 4
BC = √((4 - 0)^2 + (0 - 4)^2) = √(16 + 16) = √32
AC = √((4 - 0)^2 + (0 - 0)^2) = √(16 + 0) = 4

2. Check if the Pythagorean theorem holds for any two sides and the hypotenuse:
AB^2 + AC^2 = 4^2 + 4^2 = 16 + 16 = 32
BC^2 = √32^2 = 32

Since AB^2 + AC^2 = BC^2, the points A(0, 0), B(0, 4), and C(4, 0) are the vertices of a right triangle with the right angle at point A.

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Answer:

2.145

Step-by-step explanation:

edge 2021

This indicates that after accounting for the inflation rate of 7%, the purchasing power of the $1,000 investment decreased by approximately 1.92%.

The real rate of return represents the rate of return adjusted for inflation, which reflects the purchasing power of the investment. To calculate the real rate of return, we subtract the inflation rate from the nominal interest rate.

In this case, the nominal rate of interest is 5 percent, but prices have actually risen by 7 percent, indicating an inflation rate of 7 percent. Therefore, the real rate of return can be calculated as follows:

Real rate of return = Nominal interest rate - Inflation rate

Real rate of return = 5% - 7%

Real rate of return = -2%

The negative sign indicates that the purchasing power of the investment has decreased. To express the real rate of return as a positive value, we take the absolute value, resulting in approximately 2%. Therefore, Gladys earned a real rate of return of approximately -2% or -1.92% (rounded to two decimal places).

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Answer:

46

Step-by-step explanation:

length x width x height

7 x 5 x 3

Answer: surface area = 142

Volume = 105

* make sure to add labels (units^2, etc.)

Step-by-step explanation:

Area = length x height

Volume = length x width x height

Answer:

What is the question?  IF the question is (What is the width of the rectangle, in decimal form?)I do have the answer !

Step-by-step explanation:

Perimeter (P) = 2Length (L) + 2Width (W)

16.8 = 3.6(2) + 2W

16.8 = 7.2 + 2W

-7.2   -7.2

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

9.6   =   2W

---         ----

 2           2

4.8 = W

Answer: M= -3

Solve for m by simplifying both sides of the equation, then isolating the variable.

Thus, the obtained area of sector for the given circle is found as 43.96 in².

Two radii that meet at the centre to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle assessment and radius measurement are both crucial for solving circle-related difficulties.

The curved portion that runs along the circle's perimeter and joins the ends of a two radii that make up a sector is known as the sector arc.

given data:

Formula for the area of sector:

area of sector = Ф /360 * (πr²)

area of sector = 140/360 * (3.14 *6²)

area of sector = 7/18 * 3.14 *36

area of sector = 43.96 in²

Thus, the obtained area of sector for the given circle is found as 43.96 in².

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Answer:

A is 85 degrees

If the sand falls at a rate of 16 cubic millimeters per second, a player would have approximately 6.25 seconds for their turn.

The rate of sand falling from the hourglass is given as 16 cubic millimeters per second. We need to find out the time available for a turn. Let's assume that the hourglass is filled with 'x' cubic millimeters of sand.

We can use the formula:

Volume = Rate x Time

Here, the volume of sand is 'x' cubic millimeters, the rate is 16 cubic millimeters per second, and we need to find the time available for a turn, which we can represent as 't' seconds.

So,

x = 16t

We can rearrange this equation to find 't':

t = x/16

This means that the time available for a turn is equal to the volume of sand in the hourglass divided by the rate at which the sand falls.

We don't know the exact volume of sand in the hourglass, but let's assume it's 100 cubic millimeters.

Then,

t = 100/16

t = 6.25 seconds

So, in this case, a player would have approximately 6.25 seconds for their turn before all of the sand falls to the bottom of the hourglass.

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Answer:

4

Step-by-step explanation:

combine the ones with the x first: 16/4x+1/4x = 17/4x

combine the ones with the n: -1/5n+1/3n = -3/15n+5/15n = 2/15n

combine: 17/4x+2/15n (17/4 is also equal to 4 1/4)

4

Answer:

Step-by-step explanation:

Angle 1 and Angle 2 are identified as vertical pairs

Looks like a vertical pair to me.

Answer:

Step-by-step explanation:

The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.

A. No solution

y = 1/4x+5

x - 4y = 4

You can simplify the second equation into y = 1/4x - 1

Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.

Answer:

4x10x6=240

1x10x4=40

Answer:

the first one is 240

the second one is 40

Step-by-step explanation:

$$3,666.67 should be invested in the CD account by mother for her son's future education.

To calculate the amount of money invested in the CD account:

Let the amount invested in the CD account be x dollars.

Amount mother want to invest =  $11,000.00

The remainder, will be $11,000.00 - x dollars, which is to be invested in the savings bond.

Interest earned on Certificate of Deposit (CD) = 4%

The interest earned from the CD account will be x * 0.04 (4% expressed as a decimal),

Interest earned on savings bond = 7%

i.e (11,000.00 - x) * 0.07 (7% expressed as a decimal).

According to the given problem, the total interest earned after one year is $660.00. The equation we get,

x * 0.04 + (11,000.00 - x) * 0.07 = $660.00

Simplifying and solving this equation:

0.04x + 770.00 - 0.07x = $660.00

-0.03x = $660.00 - $770.00

-0.03x = -$110.00

x = -$110.00 / -0.03

x = $3,666.67

Therefore, $3,666.67 was invested in the CD account.

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The probability that Tara first paints her bedroom green is 1/16.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

In this case, Tara picks out 4 paint colors (beige, blue, green, and gray) to paint 4 rooms in her house (living room, dining room, main bedroom, and kitchen).

The probability of painting bedroom = 1/4

The probability of picking green = 1/4

Therefore, the probability that Tara first paints her bedroom green is:

P(bedroom) × P(green)

= 1/4 × 1/4

= 1/16

The probability is 1/16.

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To estimate the mean HDL cholesterol of all 20- to 29-year-old females within 2 points with 99% confidence, the required sample size can be calculated. If the doctor is content with 95% confidence, the decrease in confidence will affect the sample size required.

1. Determine the desired margin of error (E) for the estimate. In this case, it is 2 points.

2. Identify the desired confidence level (C). In the first scenario, it is 99%, and in the second scenario, it is 95%.

3. Determine the standard deviation (s) of the population based on earlier studies. In this case, s is given as 19.4.

4. Determine the critical value (Z) corresponding to the desired confidence level. Use a Z-table or statistical software. For a 99% confidence level, Z is approximately 2.576, and for a 95% confidence level, Z is approximately 1.96.

5. Use the formula: sample size (n) = (Z^2 * s^2) / E^2.

  - For the first scenario with 99% confidence: n = (2.576^2 * 19.4^2) / 2^2 = 419.78.

  - For the second scenario with 95% confidence: n = (1.96^2 * 19.4^2) / 2^2 = 289.09.

6. Round up the sample size to the nearest whole number.

  - For the first scenario: n = 420.

  - For the second scenario: n = 290.

In conclusion, to estimate the mean HDL cholesterol within 2 points with 99% confidence, a sample size of 420 subjects is needed.

If the doctor is content with 95% confidence, the required sample size decreases to 290. Decreasing the confidence level reduces the margin of error and, therefore, the sample size needed for estimation.

However, it is important to note that decreasing the confidence level also increases the risk of making a Type I error (incorrectly rejecting a true null hypothesis).

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Answer:

\((2,2)~ \text{and}~ (-2,-2)\)

Step by step explanation:

\(x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\\)

\(\text{Hence,}~ (x,y) = (\pm2, \pm 2)\)

Vector \(u = \left[\begin{array}{c}-1\\-9\end{array}\right]\) and Vector  \(v = \left[\begin{array}{c}2\\3\end{array}\right]\) such that u + v is not in W.

Consider a vector:   \(W = \left[\begin{array}{c}x\\y\end{array}\right]\)  : XY ≥ 0.

if  \(Z = \left[\begin{array}{c}x\\y\end{array}\right]\) is in W then the vector c.Z = \(c \left[\begin{array}{c}x\\y\end{array}\right]\) = \(\left[\begin{array}{c}cx\\cy\end{array}\right]\) is in W.

therefore, xy ≥ 0. ( cx ) . ( cy ) = c² . (xy) ≥ 0.

Note: We can only take 'u' and 'v' as [2 x 1] Matrix because 'u' and 'v' lies in W and W is [2 x 1] Matrix.

Take \(u = \left[\begin{array}{c}-1\\-9\end{array}\right]\) then -1 x -9 = 9 ≥ 0 then vector 'u' lies in W.

also, \(v = \left[\begin{array}{c}2\\3\end{array}\right]\) then 2 x 3 = 6 ≥ 0 then vector 'v' lies in W.

Now, u + v \(= \left[\begin{array}{c}-1\\-9\end{array}\right] + \left[\begin{array}{c}2\\3\end{array}\right] = \left[\begin{array}{c}1\\-6\end{array}\right]\) here 1 x (-6) is not ≥ 0.

therefore, u + v is not in W.

Hence, Vectors  \(u = \left[\begin{array}{c}-1\\-9\end{array}\right] v = \left[\begin{array}{c}2\\3\end{array}\right]\) such that u + v is not in W.

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Disclaimer: The question given was incomplete on the portal. Here is the complete question.

Question: Let W be the union of the first and third quadrants in the XY

plane. That is, Let   \(W = \left[\begin{array}{c}x\\y\end{array}\right]\) : XY ≥ 0.

Find specific vectors u and v in W such that u + v is not in W. This is enough to show that W is not a vector space. Also read the question from the attached image.

Explanation:

The x coordinates are -4 and 14. They add up to -4+14 = 10. Then this cuts in half to get 10/2 = 5. This is the x coordinate of the midpoint.

We'll follow this same idea for the y coordinates as well.

10+0 = 10 which cuts in half to 10/2 = 5, and this is the y coordinate of the midpoint.

Therefore, the midpoint is (5,5).

Coincidentally, the x and y coordinates are the same for the midpoint (both are 5). This won't always happen.

The student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

\(\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}\)

We have:

Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper.

The line of best fit is:

y  = 70.28x + 425.77

Plug x = 3 in the line of best fit:

y  = 70.28(3) + 425.77

y = 21.084 + 425.77

y = 636.61 minutes ≈ 637 minutes

Thus, the student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.

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The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).

Let's simplify the given expression step by step using the given terms:
Expression:

\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)

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The steel cube will float in mercury, completely submerged. The submerged depth of the cube is 0.25 m.

Given that,Length of the side of the steel cube = 0.25 mSpecific gravity of steel = 7.6Specific gravity of mercury = 13.6To determine the submerged depth of the cube.Let us calculate the buoyant force on the cube of steel,

The buoyant force acting on the steel cube is given as;B = V × ρfluid × g... (1)Where,V = Volume of the displaced fluidρfluid = Density of the fluidg = Acceleration due to gravityLet us find out the volume of the displaced fluid;As we know, Volume of the cube = l³ = 0.25³ = 0.015625 m³.

The volume of the displaced fluid is equal to the volume of the cube, therefore, Volume of the displaced fluid = 0.015625 m³.

Now, let us find out the density of the fluid.The density of the fluid is given as;ρfluid = ρ0 × SGfluidWhere,ρ0 = Density of water = 1000 kg/m³SGfluid = Specific gravity of mercury = 13.6,

Density of mercury = ρ0 × SGfluid= 1000 × 13.6= 13600 kg/m³.

Now, putting the values in equation (1), we get;B = V × ρfluid × g= 0.015625 × 13600 × 9.8= 2089 NThus, the buoyant force acting on the cube of steel is 2089 N. Now, let us find out the weight of the cube of steel.

The weight of the cube of steel is given as,W = m × g.... (2)Where,m = Mass of the steel cubeg = Acceleration due to gravityAs we know, Density of steel, ρ = 7.6 kg/m³.

Volume of the steel cube = l³ = 0.25³ = 0.015625 m³Mass of the steel cube,m = Volume × Density = 0.015625 × 7.6 = 0.118 kgPutting the values in equation (2), we get;W = m × g= 0.118 × 9.8= 1.1564 N.

Thus, the weight of the steel cube is 1.1564 N.The cube of steel will float in mercury, because, the buoyant force acting on the steel cube (2089 N) is greater than the weight of the steel cube (1.1564 N).Hence, the cube of steel will float completely submerged in the mercury, therefore, the submerged depth of the cube is 0.25 m. 

The buoyant force acting on the steel cube is calculated as B = V × ρfluid × g. The volume of the displaced fluid is equal to the volume of the cube (V).

The density of mercury is given by ρ0 × SGfluid, where the density of water, ρ0 = 1000 kg/m³ and SGfluid = Specific gravity of mercury = 13.6.

Therefore, the density of mercury is given by ρfluid = ρ0 × SGfluid = 1000 × 13.6 = 13600 kg/m³. The buoyant force acting on the cube of steel is 2089 N. The weight of the cube of steel is given by W = m × g, where the mass of the steel cube is m = Volume × Density = 0.015625 × 7.6 = 0.118 kg.

Therefore, the weight of the steel cube is 1.1564 N. Since the buoyant force acting on the steel cube (2089 N) is greater than the weight of the steel cube (1.1564 N), the cube of steel will float completely submerged in the mercury. The submerged depth of the cube is 0.25 m.

The steel cube will float in mercury, completely submerged. The submerged depth of the cube is 0.25 m.

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