Solve the system of equations. − 4 � + 3 � = − 2 � = � − 1 ​ −4x+3y=−2 y=x−1 ​ � = x=x, equals � = y=y, equals

Answer:

The median of the data set is 18.5

Step-by-step explanation:

To find the median of this set of data values, we need to first arrange them in numerical order:

10, 14, 15, 17, 20, 21, 22, 25

The middle value is the median. If there is an odd number of values, there will be exactly one middle value, and if there is an even number of values, the median will be the average of the two middle values.

In this case, there are 8 values, which is an even number. So, we take the average of the sum of the 2 middle numbers:

Median of Data Set = (17 + 20)/2 = 18.5

Therefore, the median of the data set is 18.5.

The sum of the first 31 terms in the new sequence is 5.

Let S = {-4, 0, 2, 3}

New Sequence = {-4, 0, 2, 3, -4, 0, 2, 3, -4, 0, 2, 3, ...............}

The four terms are repeatedly separated, as we can see above. Below are some of the first four terms = -4 + 0 + 2 + 3 = 1

Now, first four terms sum = 1

Next four terms sum = 1.

So sum of first 28 terms is given as

1 + 1 + 1 + 1 + 1 + 1 + 1 = 7

Now we find sum of first 31 terms = 7 - 4 + 0 + 2 = 5

So, sum of first 31 terms of new sequence {-4, 0, 2, 3, -4, 0, 2, 3, -4, 0, 2, 3, ...............} is 5.

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In a case whereby concrete sidewalk is being put around a square park. If the diagonal line across the center of a square park is 24 feet, the exact length of each side is 12 feet.

Based on the given condition from the question, We know that A diagonal is a line segment that joins two opposing polygonal vertices (or corners). In other terms, a diagonal is a line segment that joins two polygonal vertices that are not next to one another. One type of straight line is the diagonal. There is no straight up, down, or across in a diagonal line. It is a line that joins two shape's corners.

Then we can formulate as 24/2

= 12 feet.

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The airplane is approximately 1.7 miles from the runway at the start of the approach.

What is trigonometry?

Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry

To solve this problem, we need to use trigonometry. The angle of descent is 7 degrees, which means that the angle between the horizontal ground and the plane's flight path is 7 degrees. We can use the tangent function to find the distance from the runway:

tangent (7 degrees) = opposite / adjacent

The opposite side is the height of the plane above the ground, which is 1069 feet. The adjacent side is the distance from the plane to the runway, which we need to find.

tangent (7 degrees) = 1069 / adjacent

We can solve for the adjacent side by multiplying both sides by the denominator:

adjacent = 1069 / tangent(7 degrees)

Using a calculator, we get:

adjacent = 1069 / 0.122173048

adjacent = 8743.3 feet

To convert this to miles, we divide by the number of feet in a mile:

adjacent = 8743.3 / 5280

adjacent = 1.655 miles

Rounding to the nearest tenth of a mile, we get:

The airplane is approximately 1.7 miles from the runway at the start of the approach.

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A serving of skinny popcorn has 4 grams of fiber, which is about 16% of the recommended daily amount of fiber. The recommended daily amount of fiber is 25 grams.

If a serving of skinny popcorn has 4 grams of fibre and provides 16% of the necessary daily fibre intake, we can apply a proportion to calculate the entire recommended daily fibre intake:

If x is the required daily fibre intake in grams, we may calculate the following proportion:

4 / x = 16 / 100

We may cross-multiply and simplify to find x:

4 × 100 = 16 × x

400 = 16x

x = 25

As a result, the daily fibre recommendation is 25 grams.

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The combination of weights listed above would balance a mass of 45 grams on the balance scale.

A instrument used to determine an object's mass is a balancing scale. It is made out of a beam suspended from a fixed point, with two pans or trays hanging from either end. The beam is balanced when the mass of the objects on one tray equals the mass of the objects on the other tray. The principle of moments, according to which, when the beam is in equilibrium, the moment of force on one side of the balance is equal to the moment of force on the other, governs how a balancing scale functions.

Given that, Rosa can balance a mass of 45 grams using the given combinations.

Thus, total weight on the two sides are:

Left side: 32g + 6g + 6g + 1g = 45g

Right side: 8g + 8g + 2g + 2g = 20g

Hence, the combination of weights listed above would balance a mass of 45 grams on the balance scale.

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Answer:

The volume of one cone-shaped cup can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the cone and h is the height. Substituting the given values, we get:

V = (1/3)π(5 cm)^2(10 cm)

V ≈ 261.8 cm^3

Therefore, one cup can hold approximately 261.8 cubic centimeters of flower petals.

To find the total volume of petals that all 150 cups will hold, we can multiply the volume of one cup by the total number of cups:

Total volume = 150 cups × 261.8 cm^3/cup

Total volume ≈ 39,270 cm^3

Rounding to the nearest whole number, we get that the total volume of petals that all the cones will hold is approximately 39,270 cubic centimeters.

Answer:

I forgot how to do this sorry

The point [-8,-6] would be graphed 8 units left and 6 units down from the origin (0,0) on a coordinate grid.

A coordinate grid, also called a Cartesian plane, is a two-dimensional plane formed by a horizontal x-axis and a vertical y-axis that intersect at the origin (0,0). It is used to graph and locate points in a two-dimensional space by their x- and y-coordinates.

The coordinate grid is formed by two perpendicular lines, the horizontal x-axis and the vertical y-axis.

The point [-8,-6] represents an ordered pair where -8 is the x-coordinate and -6 is the y-coordinate.

To graph this point on a coordinate grid, start at the origin (0,0), which is where the x-axis and y-axis intersect. Then, move 8 units to the left along the x-axis since the x-coordinate is negative.

After that, move 6 units down along the y-axis since the y-coordinate is negative. The point where you end up after moving left 8 units and down 6 units is the point (-8,-6).

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Glenn has 1/20 of the granola bar left.

How to find?

If Glenn has 2/5 of a granola bar and eats 7/8 of it, we need to find out how much is left.

First, we need to find out how much Glenn ate. To do this, we can multiply the fraction of the granola bar that Glenn had (2/5) by the fraction that he ate (7/8):

2/5 × 7/8 = (27)/(58) = 14/40

Simplifying this fraction, we get:

14/40 = 7/20

So, Glenn ate 7/20 of the granola bar.

To find out how much is left, we can subtract the fraction that he ate from the fraction that he had:

2/5 - 7/20

To subtract these fractions, we need to find a common denominator. The least common multiple of 5 and 20 is 20, so we can convert both fractions to have a denominator of 20:

2/5 = 8/20

7/20 = 7/20

Now we can subtract the fractions:

8/20 - 7/20 = 1/20

So, Glenn has 1/20 of the granola bar left.

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Answer:

Step-by-step explanation:

-14.76: Rational

-sqrt(64): 64 is a perfect square so it is rational

1.4444444… rational numbers repeat their decimal digits at one point or another, so this is rational

pi is irrational, so 19pi is irrational.

sqrt(2)*sqrt(2) is rational, but not 2sqrt(2). Irrational.

The 95% confidence interval for tthe population mean, μ of all venture-capital investments in the fiber optics business sector is equals to the 4.472 ≤ μ ≤ 7.990 that is ( 4.472, 7.990).

We have a random sample of venture capital investments in the fiber optics business sector.

Sample size, n = 10

Standard deviations, σ = $2.84 million

Sum of data, ∑xᵢ = $62.32 million

Confidence interval, CI = 95% = 0.95

We have to determine the 95% confidence interval for the mean amount.

Sample mean is defined as the sum of observations divided by number of observations. Mathematically, X-bar

= ∑xᵢ /n

= 62.32/10 = 6.232

Now, using the Z distribution table, the critical value at 0.05 significance level for two tailed test is = Z₀.₀₅/₂ = Z₀.₀₂₅

= 1.96

So, 95% confidence interval for the population mean is written as

CI₀.₉₅ = X-bar - Z(σ/√n ) ≤ μ ≤ X-bar + Z(σ/√n)

= 6.232 - 1.96(2.84/√10) ≤ μ ≤ 6.232 +

1.96(2.84/√10)

= 6.232 - 1.760 ≤ μ ≤ 6.232 + 1.760

= 4.472 ≤ μ ≤ 7.990

Hence, required interval is ( 4.472, 7.990).

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The statement: If ∠F is a 60° angle, then cos (F) = sin (F), is never true.

Two of the six trigonometric functions used to connect angles to the sides of a right triangle are sine and cosine. The length of the opposite side of an angle divided by the length of the hypotenuse of a right triangle is known as the sine function. The length of the adjacent side of an angle divided by the length of the hypotenuse of a right triangle is known as the cosine function.

We know that,

If angle F is 60 degrees, then the value of cos F = 1/2 and sin F = sqrt(3)/2.

Therefore, cos F is not equal to sin F and the statement is never true.

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5. Vertex: (2, 2)

Dοmain: All real numbers

Axis οf symmetry: x = 2

Increasing οn: (-∞, 2)

Decreasing οn: (2, ∞)

A quadratic functiοn is a pοlynοmial functiοn οf degree 2, where the highest pοwer οf the variable is 2. It has a parabοlic graph and is cοmmοnly used tο mοdel real-wοrld phenοmena.

5. Vertex: (2, 2)

Dοmain: All real numbers

Axis οf symmetry: x = 2

Increasing οn: (-∞, 2)

Decreasing οn: (2, ∞)

7. Vertex: (2, 3)

Dοmain: All real numbers

Axis οf symmetry: x = 2

Increasing οn: (-∞, 2)

Decreasing οn: (2, ∞)

Range: y ≥ 3

6.Vertex: (-2, -4)

Vertical shift: -4 units

Hοrizοntal shift: -2 units

Width: Cοmpressed hοrizοntally by a factοr οf 1/3

Reflected: Nο

8. Vertex: (-2, -2)

Vertical shift: -2 units

Hοrizοntal shift: -2 units

Width: Stretched by a factοr οf 3 in the vertical

Reflected: Nο

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Answer:

1st=3/50

2nd=2/50

3rd=1/50

thats is if the only possible number you can roll are only from 2,6 not 1,6

As per the unitary method, Aysha will spend Dh45.45 on souvenirs if she spends Dh100 on games, using the same ratios as on her last trip to the shopping festival.

Now, let's use the unitary method to solve the problem at hand. We know that Aysha wants to spend money using the same ratios as on her last trip to the shopping festival. So, let's find out the ratio of the amount she spent on games to the total amount she spent on all three items (snacks, games, and souvenirs) on her last trip:

Amount spent on games = Dh25

Total amount spent on all three items = Dh20 + Dh25 + Dh10 = Dh55

So, the ratio of the amount spent on games to the total amount spent on all three items is:

Dh25/Dh55

Now, we know that Aysha wants to spend Dh100 on games this time. Let's use the unitary method to find out how much she will spend on souvenirs, given the ratio we just found.

If Dh25 is spent on games, then the total amount spent on all three items will be:

(Dh25/Dh55) * Total amount spent

And we know that the total amount spent is Dh100 (the amount Aysha wants to spend on games). So, substituting this value, we get:

(Dh25/Dh55) x Dh100

Simplifying this expression, we get:

Dh45.45

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Yeah, it seems fine so you're doing great so far! ^^

Answer:

-10

Step-by-step explanation:

BODMAS

Brackets

Of

Division

Multiplication

Addition

Subtraction

●When simplifying an equation follow the above order.

•Since division comes before subtraction, first divide -24 by -8 to get 3

•Then subtract 13 from 3 to give you -10.

Answer:

[tex]y=(x+4)^2-8[/tex]

Step-by-step explanation:

[tex]y=x^2-8x-8[/tex]

complete the square.

[tex](x+4)^2-8[/tex]

set y equal to the new right side.

[tex]y=(x+4)^2-8[/tex]

Hope this helps!

Brainliest is much appreciated!

Answer:

Step-by-step explanation:

a = 1

c = -8

b= -8

the formula of vertex form is a(x-h)^2 +k = y

First find H and k using the formula -b/2a = h

h = 4

so, k = -24

y =1(x-4)^2 -24

Answer:

L = 20 , B = 10

Step-by-step explanation:

L = 2B

we know perimeter of rectangle = 2( L + B )

By substitution , 2( 2B+ B) =60

4B + 2B = 60

6B = 60

B= 10

L = 2 * B = 2 * 10 = 20

Answer:0.833333

Step-by-step explanation:

Answer:

0.08333

Step-by-step explanation:

pls mrk me brainliest

Addressing issue hand, we state that Therefore, the linear equation solution to the system of equations is: x = 0.5, y = 0.1667, z = -0.5 and x = 0.500, y = 0.167, z = -0.500

In algebra, a linear equation refers to one with its form y=mx+b. B is the gradient, and m is the esta. The preceding clause is commonly referred to as a "linear function with two variables" so even though y and x are variables. Bivariate linear equations are linear equations with two variables. There are several linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation seems to have the structure y=mx+b, where m is the slope and b is the y-intercept, it is said to be linear. When a measurement seems to have the formula y=mx+b, both with m identifying its slope and b denoting the y-intercept, it is said to be linear.

values of x, y, and z, we can use the system of equations

3x - 2y + z = 1

2x + y - z = 0

x + 2y + 3z = -1

We can use Gaussian elimination or any other suitable method to solve the system. Here's one way to do it:

3x - 2y + z = 1          (eq. 1)

2x + y - z = 0           (eq. 2)

x + 2y + 3z = -1         (eq. 3)

       3x - 2y + z = 1          (eq. 1)

       0.6667x + 1.3333y - 1.3333z = -0.6667    (eq. 2')

       -0.3333y + 2.3333z = -1.3333    (eq. 3')

       3.3333x - 0.3333z = 0.1667    (eq. 1')

       0.6667x + 1.3333y - 1.3333z = -0.6667    (eq. 2')

       2.1667z = -1.0833    (eq. 3')

       z = -0.5

       y = 0.1667

       x = 0.5

Therefore, the solution to the system of equations is:

x = 0.5, y = 0.1667, z = -0.5

x = 0.500, y = 0.167, z = -0.500

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After answering the provided question, we can conclude that As a result, expression the answer is D. 144n.

In mathematics, an expression is a collection of symbols, digits, and companies that portray a statistical correlation or formula. An expression can be a single number, a mutable, or a combination of both of them. Addition, subtraction, proliferation, division, and exponentiation are examples of mathematical operators.  Expressions are used extensively in mathematics, including arithmetic, calculus, and geometry. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

According to the scale, 1 inch on the drawing equals 3 feet in real life. As a result, the pool's length is 4 inches x 3 feet/inch = 12 feet. Similarly, the pool's width is 4 inches x 3 feet/inch = 12 feet.

As a result, the pool's area equals the length multiplied by the width, which is:

144 square feet = 12 feet x 12 feet.

As a result, the answer is D. 144n.

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Answer: 64 Rs

Step-by-step explanation:

Let x be the number of tables

4 x 48 = 3x

192 = 3x

x = 64

The only common factor is [tex]b^{2}[/tex] so the GCF is [tex]14b^{3}[/tex] and [tex]5b^{2}[/tex] is [tex]b^{2}[/tex]

The term "common" means "same for both." The two numbers' common factor is one that applies to both numbers.

The common factor between [tex]6[/tex] and [tex]10[/tex] is [tex]2[/tex], for instance. Although it is not the sole quality shared by each number, it is a trait that they both have in common.

To find the GCF of [tex]14b^{3}[/tex] and [tex]5b^{2}[/tex] we need to find the largest factor for both

[tex]14b^{3}[/tex] = 2*7*[tex]b^{2}[/tex]*[tex]b[/tex]

[tex]5b^{2}[/tex] = [tex]5*b^{2}[/tex]

Therefore the only common factor is [tex]b^{2}[/tex] so the GCF is [tex]14b^{3}[/tex] and [tex]5b^{2}[/tex] is [tex]b^{2}[/tex]

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Answer:

600ft²

Step-by-step explanation:

Volume of a cube V = a³

a³ = 1000

Cube root of both sides

a = 10ft

Surface area A =6a²

A = 6 x 10 x10 ft²

Answer:

600 feet²

Step-by-step explanation:

1) Break down the info

To answer this question we have to figure out the values of the sides. As it is a cube all sides should have the same area and length!

We know that the equation for volume is...

This means that to simply find the sides, we can cube root 1000

Let's check...

2) Find the surface area

We now know that the sides are 10 feet each so to find the surface area is [tex]6a^2[/tex] where a is the length of one side!

We can solve the question by plugging our numbers into the equation...

Our surface area is 600 feet!

Hope this helps, have a lovely day! :)

The game is fair in the sense that the expected value is not negative.

The expected value serves as a gauge for a random variable's typical value. It is determined by multiplying each of the variables' potential outcomes by its corresponding probability, then adding the resulting products. In order to comprehend the typical outcome of a random process and determine if a given course of action is likely to be lucrative or not, the expected value is a valuable tool in decision-making.

The probability of getting a spade is 13/52 or 1/4.

The probability of getting anything else is 3/4.

he expected value of playing the game can be calculated as:

Expected value = (probability of winning x amount won) - (probability of losing x amount lost)

Expected value = (1/4 x $10) - (3/4 x $3)

Expected value = $2.50 - $2.25

Expected value = $0.25

Since the expected value is positive, this means that on average, you can expect to win $0.25 for every time you play the game.

Hence, game is fair in the sense that the expected value is not negative.

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Mike cannot attain a mean grade of 85% for every one of his studies since a grade higher than 100% is not feasible.

The sum of all numbers divided by the entire number of values determines the mean (also known as the arithmetic mean, which differs from of the median) of a dataset. This central tendency is usually referred to as the "average".

Just dividing the total amount of information in a data collection even by sum of all of the values yields it. Both raw data and data that have been compiled into a frequency distribution table can be used for the computation.

mean = (sum of all numbers) / (number of numbers)

80% = (82% + 75% + 78% + 80% + m) / 5

85% = m

The another equation is,

85% = (82% + 75% + 78% + 80% + m) / 5

425% = 315% + m

110% = m

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To find the product of the face values (the values of the digits as they appear in the number) of all digits in 91250, we can simply multiply the face values of each digit together.

The face value of a digit is simply the value of the digit itself, regardless of its position in the number.

So, we have:

9 * 1 * 2 * 5 * 0 = 0

Note that the face value of the digit 0 is 0, so any product that includes a 0 will also be 0.

Therefore, the product of the face values of all digits in 91250 is 0.

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Answer:

because 7*3*4 is 88 ft^3

Answer:

its a negative slope because the battery is going down, not staying the same, or going up

Step-by-step explanation: