help!!! urgent :))
Question 5 (Essay Worth 4 points)

The matrix equation represents a system of equations.

A matrix with 2 rows and 2 columns, where row 1 is 2 and 7 and row 2 is 2 and 6, is multiplied by matrix with 2 rows and 1 column, where row 1 is x and row 2 is y, equals a matrix with 2 rows and 1 column, where row 1 is 8 and row 2 is 6.

Solve for y using matrices. Show or explain all necessary steps.

Answer:

f. 85

Step-by-step explanation:

All triangles add up to 180 degrees

BCE=25

then you need to find DBC, you can do that since ABD is isocilies that means all sides are equal in length and angle so 180 divided by 3 (number of side) is 60

isoceles triangle have 2 sides that are equiangular, cince we know BCA is 25 we also know BAC is 25, leaving angle ABC to be 130 (180-50=130)

we subtract angle ABD from angle ABC to get angle DBC, leaving angle DBC to equal 70 degrees

since 70 (angle DBC) + 25 (Angel BCA)= 95

we just subtrract 95 from 180 to get the answer 85 (:

Answer:

85 degrees

Step-by-step explanation:

if Δ ABD is equilateral  then the 3 sides and three angles are equal

sum of angles of Δ=180

180/3=60 degrees (∠A,∠B,∠D)

ΔBCA is isosceles then the two angles A and C are equal = 25

∠B=180-50=130

∠B in Δ BEC=130-60=70

∠E+∠B+∠C in Δ BEC=180

∠E= 180-70-25=85 degrees

To solve this problem, we can use the multiplication rule of probability, which states that the probability of two or more independent events occurring together is the product of their individual probabilities.

Let L, R, and S be the events that a vehicle turns left, turns right, and goes straight on, respectively. We want to find the probability of the following event:

E: One vehicle goes straight on and the other two either both turn left or both turn right.

We can break down event E into two sub-events: one vehicle goes straight on and the other two vehicles both turn left or both turn right. Let's calculate the probabilities of these sub-events separately:

- Probability that one vehicle goes straight on: P(S) = 0.3

- Probability that the other two vehicles both turn left or both turn right: P((LL) or (RR)) = P(LL) + P(RR)

To find P(LL) and P(RR), we can use the multiplication rule again. Since the events are independent, we can multiply their individual probabilities:

- Probability that two vehicles both turn left: P(LL) = P(L) × P(L) = 0.55 × 0.55 = 0.3025

- Probability that two vehicles both turn right: P(RR) = P(R) × P(R) = 0.15 × 0.15 = 0.0225

Therefore, the probability of event E is:

P(E) = P(S) × P((LL) or (RR))

    = 0.3 × (P(LL) + P(RR))

    = 0.3 × (0.3025 + 0.0225)

    = 0.0975

So the probability that, of the next three vehicles approaching the junction from town A, one goes straight on and the other two either both turn left or both turn right is 0.0975 or approximately 0.1 (rounded to one decimal place).

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Mae's walking speed is 10 miles per hour. This is calculated by considering the given information.

Let's assume Mae's walking speed is represented by the variable "x" (in miles per hour). According to the given information, her jogging speed would then be "x + 12.5" miles per hour.

To calculate Mae's exercise time, we can use the formula: time = distance / speed.

Mae jogs 27 miles at a speed of "x + 12.5" miles per hour, so her jogging time can be calculated as:

jogging time = 27 / (x + 12.5)

Mae walks an additional 3 miles at a speed of "x" miles per hour, so her walking time can be calculated as:

walking time = 3 / x

The total exercise time is given as 3 hours. Therefore, we can set up the equation:

jogging time + walking time = 3

Substituting the calculated values, we get:

27 / (x + 12.5) + 3 / x = 3

To solve this equation, we can start by multiplying all terms by x(x + 12.5) to eliminate the denominators:

27x + 27 * 12.5 + 3(x + 12.5) = 3x(x + 12.5)

Simplifying the equation:

\(27x + 337.5 + 3x + 37.5 = 3x^2 + 37.5x\)

Combining like terms:

\(30x + 375 = 3x^2 + 37.5x\)

Rearranging the terms to set the equation equal to zero:

\(3x^2 + 7.5x - 375 = 0\)

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(\(b^2\) - 4ac)) / (2a)

In this case, a = 3, b = 7.5, and c = -375. Substituting these values into the quadratic formula:

x = (-7.5 ± √(\(7.5^2\) - 4 * 3 * -375)) / (2 * 3)

x = (-7.5 ± √(56.25 + 4500)) / 6

x = (-7.5 ± √(4556.25)) / 6

Calculating the square root:

x = (-7.5 ± 67.5) / 6

Simplifying further:

x = (60 / 6) or x = (-75 / 6)

Since Mae's walking speed cannot be negative, the solution is x = 10.

Therefore, Mae's walking speed is 10 miles per hour.

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The complete question is:

For exercise, Mae jogs 27 miles then walks an additional 3 miles to cool down. If her jogging speed is 12.5 miles per hour faster than her walking speed and her total exercise time is 3 hours, what is her walking speed? The athlete's walking speed is

Answer:

C A person with an annual income of at least \$50{,}000$50,000dollar sign, 50, comma, 000 is more likely to be 454545 years old or above

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​ is a correct statement.

We have given that,

A sociologist polled a random sample of people and asked them their age and annual income.

annual income is the amount of money you receive during the year into your bank account, before any deductions.

The two-way frequency table below shows the results.

Annual income vs. age group Less than $50,000 At least $50,000

Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132

Total 186 162 348

A person with an annual income of at least

\(=\$50000\\=$50,000dollar\)

Therefore statement b is true.

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​.

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The maximum and minimum values of the function cannot be determined as it is. Therefore, the answer is not possible.

Let's find the maximum and minimum values of the function f(x,y,z)=3x-y-3z subject to the constraints:

Since the constraint is 0, then we can assume that:

Thus the constraint reduces to x+y = 4 and z = 2-2yThe function becomes

f(x,y,z)=3x-y-3z = 3x-y-3(2-2y) = 3x-7y+6

The objective is to find the minimum and maximum values of this function. We can use partial derivatives of f with respect to x and y.

∂f/∂x = 3, ∂f/∂y = -7

Since the partial derivative of f with respect to z is not included in the objective function, we need not bother about it. At a maximum or minimum value, the partial derivatives are zero.

Therefore, we can conclude that there is no maximum or minimum value of f(x,y,z).

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The surface area of that part of the plane 10x+7y+z=4 inside the elliptic cylinder x^2/25+y^2/9=1 is equal to πab, where a=5 and b=3. Therefore, the surface area is equal to 45π.

Total area on a three-dimensional shape's surface is known as surface area. The surface area of a cuboid with six rectangular faces can be calculated by adding the areas of each face. Alternatively, you can write down the cuboid's length, width, and height and use the formula surface area (SA)=2lw+2lh+2hw.

The general formula for a cube's surface area is as follows: The area of the base plus the area of the cube's vertical surfaces will add up to the cube's total surface area. The cube's total surface area is calculated using the formula 6a2, where an is the side length.

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Answer:

Graph in attachment

let's say x=cherries and y=grapes. (desmos only does x and y :( ).

the equation would be 9=4x+1.50y

Step-by-step explanation:

Answer:

2^(5×3/5)=2³=8is your answer

Answer:

D.) 1 - (4 * 2)

Step-by-step explanation:

Given :

Product of 4 and 2 is written as : 4 * 2

Subtracting 1 from the product above : 1 - (4 *2)

Hence, the fractional form of the question above is simply written as :

1 - (4 * 2)

Answer: The give you would use would be SSS, SAS, ASA, AAS, HL

Step-by-step explanation:

The information is also online but never use AAA, or SSA, or the one that spells out an inappropriate word (A)(S)(S)

Geometry is a branch of mathematics that deals with the shape, size, position, and properties of space. It includes the study of lines, angles, shapes, and spatial relationships.

Geometry is a branch of mathematics that is concerned with the properties of space and figures. The concepts and ideas that are used in geometry can be applied in many fields, including science, engineering, and art. The basic unit of geometry is the point, which has no size or shape. The Angle Addition Postulate is a basic postulate in geometry. It states that if you have two angles that share a common vertex and a common side, then the sum of the two angles is equal to the measure of the larger angle that contains both of them. This postulate is important in many areas of geometry, including trigonometry, where it is used to calculate the value of trigonometric functions.

Geometry is a branch of mathematics that deals with the properties of space and figures. It is used to describe the shape, size, position, and properties of objects in space. The concepts and ideas that are used in geometry can be applied in many fields, including science, engineering, and art. In geometry, the basic unit is the point, which has no size or shape. A line is a straight path that extends infinitely in both directions. This postulate is important in many areas of geometry, including trigonometry, where it is used to calculate the value of trigonometric functions.The Angle Addition Postulate can be illustrated using a diagram. Suppose we have two angles, angle A and angle B, that share a common vertex and a common side. Let the measure of angle A be x degrees, and let the measure of angle B be y degrees. The measure of the larger angle, angle C, is given by x + y degrees. The Angle Addition Postulate can be written as follows:angle A + angle B = angle CIn summary, geometry is a branch of mathematics that is concerned with the properties of space and figures. The Angle Addition Postulate is a fundamental postulate in geometry that states that if you have two angles that share a common vertex and a common side, then the sum of the two angles is equal to the measure of the larger angle that contains both of them. This postulate is important in many areas of geometry, including trigonometry, where it is used to calculate the value of trigonometric functions.

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Step-by-step explanation:

14 feet = diameter

7 feet= radius

2r=d

7+7=14

hope this helped !

We are given the following endpoints

A (2, 4) and B (17, 14)

We need to find point P such that the segment is in the rato of 2:3

Total segments = 2+3 = 5

The x-coordinate of the point P is given by

The y-coordinate of the point P is given by

Therefore, the point P is (8, 8)

Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

How closely a value relates to the mean of a set of values is expressed by a Z-score.

The Z-score is created using standard deviations from the mean.

A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.

So, in order to determine how far the raw score deviates from the mean, the Z score is used.

The following steps are used to determine the Z score:

z = (x - μ)/σ

We know that:  x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

The graph of the normal distribution indicates:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

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Answer:   Using the compound interest formula:

A = P(1 + r/n)^(nt)

where:

A = the amount after t years

P = the principal (initial amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

For the savings account with $400 deposited and 3% interest compounded quarterly, we have:

n = 4 (compounded quarterly)

r = 0.03 (3% interest rate)

P = $400 (initial amount)

For 0 years, we have:

A = 400(1 + 0.03/4)^(4*0)

A = $400

For 5 years, we have:

A = 400(1 + 0.03/4)^(4*5)

A = $476

For 10 years, we have:

A = 400(1 + 0.03/4)^(4*10)

A = $567

For 15 years, we have:

A = 400(1 + 0.03/4)^(4*15)

A = $675

For 20 years, we have:

A = 400(1 + 0.03/4)^(4*20)

A = $804

So the completed table is:

Time (years) Amount in account

0 $400

5 $476

10 $567

15 $675

20 $804

Step-by-step explanation:

Answer:

Mandy sold 250 pancakes and 50 waffles.

Step-by-step explanation:

From the information given, you can say that the sum of pancakes and waffles is equal to 300:

x+y=300

Also, the statement indicates that she charges $3 per pancake, $1 per waffle, and made a total of $800 and you can express this as:

3x+y=800

You have the following equations:

x+y=300 (1)

3x+y=800 (2), where:

x is the number of pancakes she sold

y is the number of waffles she sold

Now, you can solve for x in (1):

x=300-y (3)

Then, you can replace (3) in (2):

3(300-y)+y=800

900-3y+y=800

900-800=2y

100=2y

y=100/2

y=50

Finally, you can replace the value of y in (3) to find x:

x=300-50

x=250

According to this, the answer is that Mandy sold 250 pancakes and 50 waffles.

The width of the jellybean as a fraction is 1/2 and the width of the jellybean as a decimal is 0.5

Represent the width of the jellybean with x.

From the figure, we have the following marks

x = 8 marks

Ruler = 16

So, the width of the jellybean as a fraction is

Width = x/Ruler

This gives

Width = 8/16

Evaluate

Width =1/2

Hence, the width of the jellybean as a fraction is 1/2

Represent the width of the jellybean with x.

From the figure, we have the following marks

x = 8 marks

Ruler = 16

So, the width of the jellybean as a fraction is

Width = x/Ruler

This gives

Width = 8/16

Evaluate

Width =0.5

Hence, the width of the jellybean as a decimal is 0.5

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The worth of the computer after depreciating for 3 years is $749.77, under the condition that a rate of 16% per year was applied.

Then the derived formula for evaluating depreciation
Depreciation = (Asset Cost – Residual Value) / Life-Time Production × Units Produced
Then,
Asset Cost = $1,495
Residual Value = 0 (assuming the computer has no resale value after 3 years)
Life-Time Production = 3 years
Units Produced = 1

Hence, the depreciation rate
\(Depreciation Rate = (1 - (Residual Value / Asset Cost)) ^{ (1 / Life-Time Production) - 1}\)

\(Depreciation Rate = (1 - (0 / 1495))^{(1/3-1)}\)

Depreciation Rate = 16%

Now to evaluate  the value of the computer after three years of depreciation at a rate of 16% per year, we can apply the derived formula
Value of Asset After Depreciation = Asset Cost × (1 - Depreciation Rate) ^ Life-Time Production

Value of Asset After Depreciation = $1,495 × (1 - 0.16)³

Value of Asset After Depreciation = $749.77

Hence, the computer is worth $749.77 after three years of depreciation at a rate of 16% per year.


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The complete question is
Cleo bought a computer for $1,495. What is it worth after depreciating for 3 years at a rate of 16% per year?

Trisha needs to invest $ 26,666.66 to save $ 8,000 in 5 years.

Given that Trisha needs to save $ 8000 in order to afford to buy a car in five years, and she is going to invest in a savings account that promises an APY (Annual Percentage Yield) of 6% rounded to the nearest penny, to determine how much does she need to invest, the following calculation must be performed:

You must consider an unknown number, and multiply that number by the interest generated and the amount of time of said interest.

Therefore, Trisha needs to invest $ 26,666.66 to save $ 8,000 in 5 years.

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Answer:

Step-by-step explanation:

The Probability of Landing a heads is (1/2)

Now, to find the probability of landing it five times in a row, it is

1/2 x 1/2 x 1/2 x 1/2 x 1/2

( 1/2 is multiplied to the number of times to get a head )

The final answer will be,

Probability of landing heads 5 times in a row = 1/32

The approximate height of the cylindrical pepper shakers on the right filled with pepper is equal to option b. 80mm.

Let us consider V be the volume of the cylindrical paper,

r be the radius, and h be the height.

To estimate the height of the pepper in the shaker on the right,

Use the fact that the same amount of pepper was poured into each shaker.

This implies volume of pepper in each shaker is the same.

Since the shaker on the left was filled to a height of 45 mm,

The formula for the volume of a cylinder is,

V = πr^2h

Radius of left hand shakers is equal to 32mm

And radius of right hand shakers is equal to 24mm

Substitute the values we have,

⇒ π (32)^2 x 45 = π (24)^2 x h

Simplifying, we get,

⇒ h = 46080 / 576

⇒ h = 80mm

Therefore, the approximate height of the pepper in the shaker on the right is option b. 80 mm.

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The above question is incomplete, the complete question is:

Mr. Getting poured the same amount of pepper into each of the cylindrical pepper shakers shown below. The pepper in the shaker on the left is filled to a height of 45 millimeters. To what approximate height is the shaker on the right filled with pepper?

A 60 millimeters

B. 80 millimeters

C. 32 mm

D. 24 mm-

E. 100 mm

Answer:

11th term is 0

Step-by-step explanation:

30, 27 , 24 ,......0

a = first term = 30

Common difference = second term - first term = 27 - 30 = -3

nth term = a+(n-1)*d

a + (n-1)d = 0

30 + (n - 1) *(-3) = 0

30 + n*(-3) -1*(-3) = 0

30 - 3n + 3 = 0

      -3n + 33 = 0

               -3n = -33

                   n = -33/-3

n = 11

In a right - angled triangle, the square of the hypotenuse of a triangle is equal to the sum of the square of the other two sides.

Step 1: Make a right - angled triangle with base, perpendicular and hypotenuse has length of their side a, b, c respectively.

Step 2: Make squares on the base, perpendicular and hypotenuse with side length a, b and c respectively.

Step 3: Now measure the area of square with side b and a, which are on perpendicular and base of a triangle respectively.

Step 4: Measure the area of the with side c, which is on the hypotenuse of a triangle, area is: \(c^{2}\).

Step 5: Add the area of squares with sides a and b, sum of their area is: \(a^{2} + b^{2}\).

Observation and Result:

We will notice that the area of square with side a and b is equal to the area of square with side c.

⇒ \(a^{2} + b^{2} = c^{2}\)

∴ The square of the hypotenuse in a right-angled triangle is equal to the sum of the square of the other two sides.

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In a right  triangle, the square of the hypotenuse of the triangle is equal to the sum of the squares of the other two sides.

Note that the area of ​​the square with sides a and b is equal to the area of ​​the square with side c.  

a² + b² = c²

Therefore, the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

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Answer:

See below

Step-by-step explanation:

Odds AGAINST are 3 to5        then odds FOR are  2 to 5

    2/5   = .4 = 40%   chance of winning

The Olson family drinks milk at a rate of 1/6 gallon per day.

To find the rate at which the Olson family drinks milk, we need to divide the amount of milk they drink by the time it takes them to drink it.

They use up a 1/2-gallon jug every 3 days, so their rate of milk consumption is:

(1/2 gallon) ÷ (3 days) = 1/6 gallon per day

A gallon is a unit of volume measurement commonly used in the United States and some other countries. There are different types of gallons, but the most commonly used ones are:

US liquid gallon (abbreviated as "gal" or "US gal"): This is a unit of volume used for measuring liquid substances. It is defined as exactly 3.785411784 liters or approximately 0.83267418 Imperial gallons.

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Answer:

888774

Step-by-step explanation:

A large t-statistic indicates a greater difference between the sample means and provides stronger evidence for a significant difference between the populations.

The t-statistic is a measure of the difference between two sample means relative to the variability within the samples. When the population means are different, the difference between the sample means will tend to be larger, which will result in a larger numerator in the t-statistic formula. The larger the difference between the sample means, the greater the evidence for a difference between the populations. In contrast, if the population means are similar, the difference between the sample means will be smaller, resulting in a smaller numerator and a weaker test of significance.

The denominator of the t-statistic formula is the standard error of the mean, which measures the variability of sample means around the population mean. If the sample size is large enough, the standard error of the mean will be small, resulting in a smaller denominator and a larger t-statistic. Therefore, when the population means are different, a larger t-statistic would be expected due to a combination of a larger numerator and a smaller denominator.

In summary, If the population means are different, a large t-statistic would be expected.

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The median of the list is 3

We must arrange the numbers in this list from smallest to largest in order to determine the median:

-12, -3, 1, 1, 2, 4, 10, 16, 16, 19

The middle value of a dataset is represented by the median, a statistical measure. Half of the values in the dataset are greater than or equal to the median, and the other half are less than or equal to the median. This value is what divides the dataset into two halves.

A dataset's values must first be arranged in either ascending or descending order before the median can be determined. The median is simply the middle value when the dataset has an odd number of values. The median is the average of the two middle values when the dataset has an even number of values.

Think about the dataset 3, 5, 7, 9, and 11 as an example. This dataset's median value is 7, as

The median is the average of the two middle numbers in this list of ten numbers. The two middle numbers in this instance are 2 and 4. The median is thus:

median is equal to (3 / (2 + 4)

As a result, three is the list's median.

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