Which of these equations is linear
A. -3x+y=8
B. y=x²-3
C. 4y-2x³=0
D. 3=xy+9

Answer:

The number opposite the product of 1/15 and 1/16 will be 240

Step-by-step explanation:

          1

____________

  (1/15) x (1/16)

           1

____________

        1/240

        240

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The number opposite the product of 1/15 and 1/16 will be given as,

The best search engine for Musical Instrument and Sound Effects in MP3 Audio Online is MP3 realm.

MP3 is a digital audio coding format developed primarily by the Fraunhofer Society in Germany, with assistance from other digital scientists in the United States and elsewhere.

MP3 (MPEG-1 Audio Layer-3) is a standard technology and format for compressing a sound sequence into a small file (about one-twelfth the size of the original file) while maintaining the original level of sound quality when played. MP3 files, which take up very little hard drive space, are commonly used to store a song or an entire CD.

MP3 Realm is a music search engine that allows you to find MP3 tracks from all over the Internet.

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The slope of the function for pronghorn antelope is 60.78 which infers that the rate of speed of the pronghorn is 60.78 miles per hour.

7) The given function that represents the speed of the pronghorn is

y = 60.78x - 5.4

Comparing this function with the general equation of a straight line

y = mx + c we can conclude that the slope of the function is 60.78 .

So the Pronghorn's rate of speed is 60.78 miles per hour.

8) Now the speed of the cheetah is given in the form of a table.

Let us take any two points on the graph

(0.5,21.85) and (2,118.60)

Slope of the line passing through these two points

= (118.6-21.85)/(2-0.5)

=64.5

So the slope of the graph is 64.5 and the average rate of speed of the Cheetah is 64.5 miles per hour.

9) From the above two slopes and the rate of speed we can conclude that the speed of the cheetah is 64.5 mph which is greater than that of the pronghorn 's speed of 60.78 miles per hour.

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The formula to model the given situation is   13 + p = 21   .

In the question ,

it is given that ,

Alisha and Emily are making T- Shirts for the Math's team .

total number of T- Shirts required = 21 shirts .

number of shirts made by Alisha = 13 shirts

number of shirts made by Emily = p shirts

So , the equation that represents the given situation is

13 + p = 21

Solving further , we get

p = 21 - 13

p = 8

So , Emily made 8 T - Shirts .

Therefore , The formula to model the given situation is   13 + p = 21   .

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The daily production level that will minimize the costs is 106300 units.

Given,

In the question:

The accountant for the factory says that the costs for producing x thousands of units a day can be approximated by the formula

C = 0.04x² -8.504x + 25302.

To find the daily production level that will minimize the costs.

Now, According to the question:

From the information, the function is given as

C = 0.04x² - 8.504x + 25302.

C = cost

From the function, the following can be deduced:

a = 0.04

b = 8.504

c = 25302

Then, -b/(2a) will be:

= -8.504 / (2 × 0.04)

= 106.300

Note that production level will minimize the cost in thousands.

The production level will now be:

= 106.300 × 1000

= 106300 units

Hence, The daily production level that will minimize the costs is 106300 units.

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The average rate of flow of gasoline into the gas tank is 2.2 gallons per minute.

The average is the mean value of the data set values.

The mean is computed by dividing the total value by the number of items.

For the average rate of flow, divide the total gallons of gasoline filled by the driver, 8.8 gallons, by the number of minutes used in filling the tank.

In this case, the average rate of flow shows the speed that the driver used to fill the car with gasoline.

Starting time = 3:40 P.M.

Ending time = 3:44 P.M.

The difference in filling time = 4 minutes (3:44 - 3:40)

Total number of gallons of gasoline filled = 8.8 gallons

Average rate of flow of the gasoline = 2.2 gallons per minute (8.8/4)

Thus, at an average rate of 2.2 gallons per minute, the driver was able to fill his gas tank in 4 minutes.

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The area of the shaded region is 75.48 rounded to the nearest hundredth, considering the areas of the circle and rectangle

We have to first calculate for the area of the rectangle, and then calculate for the area of half the circle and then subtract it from the area of the rectangle to get the area of the shaded region.

Area of rectangle = Length × breadth

Area of rectangle = 12 × 11(diameter of the circle is also the length of the rectangle)

Area of rectangle = 132.

Area of circle = πr²

Area of the circle = 3.14 × 6² (6 is the radius given that the diameter = 12)

Area of the circle = 3.14 × 36

Area of the circle = 113.04

Half the area of the circle = 113.04/2

Half the area of the circle = 56.52

Area of the shaded region = 132 - 56.52

Area of the shaded region = 75.48

Therefore, by calculating for areas of the circle and rectangle, we are able to derive the area of the shaded region to be 75.48

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Answer: Using SOH CAH TOA you get 10.24

Step-by-step explanation:

you can determine what the value of X is and it is 10.24

This is gotten by sin52=x/13

Because we are trying to get x which is opposite the angle, and we have the value of the hypotenuse already (13) we can using SOH that is  sin 52= x divided by 13

Cross multiply and you'll get 10.2441398

For the given graph of absolute value equation d = (1/5)|s-250| -50 , the point that represents the horizontal distance from the given left shore when river bottom is 20 feet below the given surface is equal to 400 feet or 100 feet.

As given in the question,

Given absolute value equation is:

d = (1/5)|s-250| -50

Simplify it for the river bottom d =-20 feet below the given surface

-20 = (1/5)|s-250| -50

⇒-20(5) = | s- 250| - 250

⇒ 250 -100 = |s-250|

⇒ 150 = | s- 250|

⇒ s - 250 = 150 or s -250 = -150

⇒ s= 400 feet or s = 100 feet

Graph of the equation is attached.

Therefore, for the given graph of absolute value equation d = (1/5)|s-250| -50 , the point that represents the horizontal distance from the given left shore when river bottom is 20 feet below the given surface is equal to 400 feet or 100 feet.

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Answer: The equation that represents this situation is y = -15x + 135

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the amount of boxes remaining after x days.

She starts with 135 boxes, hence b = 135. She sells at a constant rate of 15 boxes each day, hence m = -15. The equation becomes:

y = -15x + 135

The first point should be plotted at (9,0) then the next at (0,135). Just plot multiples of 15 on the chart until you get to the 9th multiple

Step-by-step explanation:

Answer:

U={2,3,4,5,7}

C={2,4}

D={2,7}

Now,

a.) CUD

= {2,4}U{2,7}

= {2,4,7}.

again,

b.) CnD

= {2,4}n{2,7}

= {2}.ans

Step-by-step explanation:

U(union) means all of the numbers but not similar one…

n(intersection) means common factors.

Hope it really helps you

please mark me as brainalist...

The equation of the line in slope intercept form is y = 2x - 7..

The equation of a line can be represented in slope intercept form as follows;

y = mx + b

where

Therefore, the equation of the line that passes through  (5,3) and has a gradient of 2 can be found as follows;

m = 2

let's find the y-intercept using (5, 3)

3 = 2(5) + b

b = 3 - 10

b = -7

Therefore, the equation of the line is y = 2x - 7.

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Answer:

I think the answer is 144

The value of w to the nearest whole number is 16°

If a polygon has equal sides and angles, it is said to be regular. As a result, an equilateral triangle is a regular triangle, and a square is a regular quadrilateral.

Given:

Decagon has 10 sides.

As, sum of interior angles of a polygon = ( n - 2) x 180

where n = number of sides of polygon

Here n = 10

sum of interior angle = ( 10 - 2) x 180 which is 1440°

If a regular polygon has equal angles and each angle is (8w + 17)

10( 8w + 17) = 1440

8w + 17 = 144

8w = 144 - 17

8w = 127

w = 127/8

w = 15.875

Thus, the value of w = 16°

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The probability that it will rain in both cities is 0.35. It is independent.

Probability is the likelihood that a particular event will occur.

In this case, the probability of rain on a certain day is 70% in Yellow Falls and 50% in Copper Creek.

The probability that it will rain will be:

= P(Yellow Falls) × P(Copper Creek)

= 0.7 × 0.5

= 0.35

This is independent.

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1. The annual costs from the pothole damage is $156428.

2. The annual costs due to damage from

collisions is $72000 per year.

3. The project should be undertaken

1. The budget is given as $100,000

The number of cars hit potholes per week = 15

Number of cars hit potholes per year = 15*52.148

= 782.14 cars

Total amount of damage per year will be:

= 782.14 * 200 = $156428

2. Number of collusion at intersection per month = 1

Number of collusion at intersection per year = 1 * 12 = 12

Total cost of collusion at intersection per year = 12*6000

= $72000 per year

3. Saving on potholes = 156248 / 100000 = $ 1.56

Saving on collusion at intersection:

= 72000 / 100000

= $0.72

So from above, it is clear that if the budget is spent on potholes, more savings will be done. Thus the budget should be invested in potholes.

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The test statistic, using the z-distribution, is given as follows:

z = 1.12.

At the null hypothesis, it is tested if there is not enough evidence that the proportion is greater than 20%, that is:

[tex]H_0: p \leq 0.2[/tex]

At the alternative hypothesis, it is tested if there is evidence that the proportion is greater than 20%, that is:

[tex]H_0: p > 0.2[/tex]

The test statistic is given by the equation presented as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which the variables of the equation are listed as follows:

In the context of this problem, the values of these parameters are given as follows:

[tex]p = 0.2, n = 500, \overline{p} = \frac{110}{500} = 0.22[/tex]

Hence the test statistic is given as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.22 - 0.2}{\sqrt{\frac{0.2(0.8)}{500}}}[/tex]

z = 1.12.

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The journal entries to record the sale of the equipment by Crane Company are as follows:

a) Sold for $44,000 on January 1, 2022:

Debit Cash $44,000

Credit Sales of Equipment $44,000

Debit Sale of Equipment $78,000

Credit Equipment $78,000

Debit Accumulated Depreciation $36,000

Credit Sale of Equipment $36,000

Debit Sale of Equipment $2,000

Credit Profit from Sale of Equipment $2,000

b) Sold for $44,000 on May 1, 2022:

Debit Cash $44,000

Credit Sales of Equipment $44,000

Debit Sale of Equipment $78,000

Credit Equipment $78,000

Debit Accumulated Depreciation $40,000

Credit Sale of Equipment $40,000

Debit Sale of Equipment $6,000

Credit Profit from Sale of Equipment $6,000

c) Sold for $20,000 on January 1, 2022:

Debit Cash $20,000

Credit Sales of Equipment $20,000

Debit Sale of Equipment $78,000

Credit Equipment $78,000

Debit Accumulated Depreciation $36,000

Credit Sale of Equipment $36,000

Debit Loss from Sale of Equipment $22,000

Credit Sale of Equipment $22,000

d) Sold for $20.000 on October 1. 2022:

Debit Cash $20,000

Credit Sales of Equipment $20,000

Debit Sale of Equipment $78,000

Credit Equipment $78,000

Debit Accumulated Depreciation $45,000

Credit Sale of Equipment $45,000

Debit Loss from Sale of Equipment $13,000

Credit Sale of Equipment $13,000

Cost of equipment = $78,000

Salvage value = $18,000

Depreciable amount = $60,000 ($78,000 - $18,000)

Purchase date = January 1, 2019

Estimated useful life = 5 years

Annual depreciation expense = $12,000 ($60,000/5)

a) Accumulated Depreciation to January 1, 2022 = $36,000 ($12,000 x 3)

Book value of equipment = $42,000 ($78,000 - $36,000)

Cash $44,000 Sales of Equipment $44,000

Sale of Equipment $78,000 Equipment $78,000

Accumulated Depreciation $36,000 Sale of Equipment $36,000

Sale of Equipment $2,000 Profit from Sale of Equipment $2,000

b) Accumulated Depreciation to May 1, 2022 = $40,000 ($12,000 x 3.333)

Book value of equipment = $38,000 ($78,000 - $40,000)

Cash $44,000 Sales of Equipment $44,000

Sale of Equipment $78,000 Equipment $78,000

Accumulated Depreciation $40,000 Sale of Equipment $40,000

Sale of Equipment $6,000 Profit from Sale of Equipment $6,000

c) Accumulated Depreciation to January 1, 2022 = $36,000 ($12,000 x 3)

Book value of equipment = $42,000 ($78,000 - $36,000)

Cash $20,000 Sales of Equipment $20,000

Sale of Equipment $78,000 Equipment $78,000

Accumulated Depreciation $36,000 Sale of Equipment $36,000

Loss from Sale of Equipment $22,000 Sale of Equipment $22,000

d) Accumulated Depreciation to January 1, 2022 = $45,000 ($12,000 x 3.75)

Book value of equipment = $33,000 ($78,000 - $45,000)

Cash $20,000 Sales of Equipment $20,000

Sale of Equipment $78,000 Equipment $78,000

Accumulated Depreciation $45,000 Sale of Equipment $45,000

Loss from Sale of Equipment $13,000 Sale of Equipment $13,000

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Answer:

m∠C = 50 degrees

Step-by-step explanation:

∠CAQ is a straight angle (180) so ∠CAB is supplementary to ∠QAB

∠CAQ = ∠QAB + ∠CAB

180 = 110 + ∠CAB

180 - 110 = ∠CAB

70 = ∠CAB

The total angle measurement in all triangles is 180 degrees, knowing this, we can set up the equation:

180 = ∠CBA + ∠BCA + ∠CAB

180 = 2 + 29x + 24x + 2 + 70

180 = 74 + 53x

180 - 74 = 53x

106 = 53x

2 = x

Knowing x = 2, we can solve for m∠C

24(2) + 2 = ∠C

48 + 2 = ∠C

50 = ∠C

The bank discount is $93.33 and the proceeds are $5,906.67.

What is the discount?

Discount causes the product's selling price to drop, which increases its allure for the consumer. A price reduction has a psychological effect on the buyer, influencing them to make the purchase. The two types of discounts offered are trade discounts and cash discounts.

We have,

Amount Due at Maturity = $6,000

Discount rate = 3.5%

Time = 160 days

Bank Discount = $6,000*3.5%*160/360=$93.33

Proceeds = Maturity value - Bank Discount

= $6,000 - $93.33

= $5,906.67

Therefore, the bank discount is $93.33 and the proceeds are $5,906.67.

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Solving a system of equations we will see that the song was used on 5 movies and 7 commercials

The variables we will use are:

We know that:

x = y + 2

and:

x*$30 + y*$110 = $760

So the system of equations is:

x = y + 2

x*$30 + y*$110 = $760

Replacing the first equation in the second one:

(y + 2)*$30 + y*$110 = $760

$60 + y*$30 + y*$110 = $760

y*$140 = $760 - $60

y*$140 = $700

y = $700/$140 = 5

Then the value of x is:

x = y + 2 = 5 + 2 = 7

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The complete statements for solving the equation in the steps are:

1. Distribute -2 to 5x and 8

2. Subtract both sides by 6x

3. Add both sides by 16

4. Divide both sides by -16

Solving an equation involves finding the value of the variable in the equation that would make the it true. This is done by isolating the variable to one side of the expression to determine its value.

Given the equation, -2(5x + 8) = 14 + 6x, the following steps are taken to find the value of x in the expression:

Step 1: Distribute -2 to 5x and 8

10x + 16 = 14 + 6x

Step 2: Subtract both sides by 6x

-16x + 16 = 14

Step 3: Add both sides by 16

-16x = 30

Step 4: Divide both sides by -16

x = 30/-16

Simplify

x = -15/8

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Answer:

4/3 i think

Step-by-step explanation:

The equilibium price is 163.39 and the supply quantity is 150

He estimated the market demand and supply function as follows demand :P=q²+13/2q+64 and supply: P= 10q²-45/2q-164​

We need to find the equilibium price

The equilibrium price (EP) is the price where the demand for a product or service balances its supply. .

At equilibium price

Demand function = supply function

q²+13/2q+64 = 10q²-45/2q-164​

(10 - 1)q² - (45/2 + 13/2)q - (164 + 64) = 0

9q² - 29q - 228

q = 6.895 = 6.9

The equilibium price = 6.9² + (13/2)6.9 + 64

= 163.36

similarly putting the value of q in supply function we get supply quantity   ie 149.95 = 150

Therefore, the equilibium price is 163.39 and the supply quantity is 149.95 = 150

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Answer:

answer in image

Step-by-step explanation:

The subtraction of matrices B and A cannot be computed, as the matrices have different dimensions, hence we cannot calculate the matrix B - A.

Matrices are subtracted subtracting the terms at the same position in each matrix.

Hence, two matrices can only be subtracted if they have the same dimensions.

Matrix A in this problem is defined as follows:

A = [-5 4]

      [-8 -2]

Hence it's dimensions are 2 x 2, as it has 2 rows and 2 columns.

Matrix B in this problem is defined as follows:

B = [-2 7 -3]

      [1 -6 0]

Hence it's dimensions are 2 x 3, as it has 2 rows and 3 columns.

The matrices A and B have different dimensions, a different number of columns in this case, and hence their subtraction cannot be computed.

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The distributive property allows the expression 18 + 24 to be expressed as 6(3 + 4).

Most algebraic structures that include two operations, addition and multiplication, such as complex numbers, polynomials, matrices, rings, and fields, are defined in terms of this fundamental feature of numbers. The distributive property of binary operations generalizes the equality-proclaiming distributive law in mathematics. One of the axioms for rings and fields is that of the distributive laws. Boolean algebras like the algebra of sets or the switching algebra are examples of structures with two operations that are each distributive over the other.

We do the following to express using the distributive property:

Find the biggest common factor between the numbers 18 and 24.

18 = 1, 2, 3, 6, 9, 18

24 = 1, 2, 3, 4, 6, 8, 12, 24

6 is the most common value between the numbers 18 and 24, making it the most common factor

The values should be divided by 6 and expressed in the form a(b + c):

b = 18 /6 = 3

c = 24 / 6 = 4

6(3 + 4)

Consequently, the necessary expression is 6(3 + 4).

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Answer:

1a. BF, CG, DH.

1b. (1) ABF and DCG.

    (2) ADH and BCG.

1c. AD, AE, BC, BF, CE, DF.

2a. OP.

2b. JO, KP, LQ, MR.

2c. OPQ.

2d. JK, JN, KL, MN.

Step-by-step explanation:

A prism is a polyhedron that has:

Lines

Planes

A plane is a flat, two-dimensional surface that extends into infinity.  

A plane can be named by the letters naming three non-collinear points in the plane.

From inspection of the give diagram, the figure appears to be a rectangular prism with bases ABCD and EFGH.

1a. All segments that are parallel to AE are:

1b. Two examples of parallel planes:

1c. All segments that are skew to GH:

From inspection of the give diagram, the figure appears to be a pentagonal prism with bases JKLMN and OPQRS.

2a. All segments that are parallel to JK:

2b. All segments that are parallel to NS:

2c. A plane that is parallel to plane JKL:

2d. Four segments that are skew to RQ:

The higher F value means higher between-group variability relative to within-group variability. Option(b) is correct.

Analysis of variance (ANOVA) is a statistical formula used to compare variances between means (or averages) of different groups. It is used in a variety of scenarios to determine whether there is any difference in the means of different groups.

The F-value is the ratio of between-group and within-group variation. A high F-value indicates that the between-group variation is greater than the within-group variation. This can be interpreted as a statistically significant difference in the means of your groups.

A large f value (one greater than the F critical value found in a table) indicates that something is significant, whereas a small p-value indicates that all of your results are significant.

Therefore a higher F value the higher between-group variability relative to within-group variability.

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Answer:

A. yes, B. yes,C. yes

Step-by-step explanation:

A. (3,0) yes

b. (4,-2) yes

c. (5,-4)yes