PLEASE HELP ALGEBRA 2 WORK

Answer:It has no solution

Step-by-step explanation:

Answer:

D 40 square feet

Step-by-step explanation:

2×8=16

16÷2=8 is area of one triangle

8+8=16 is area of both triangles

8×3=24 is area of rectangle

24+16=40 square feet

Answer: 2 over 3

Step-by-step explanation: The GCF of 90 and 135 is 45. So,

divide 90 by 45 = 2

divide 135 by 45 = 3

Answer: 2/3

Given:-

[tex] \: [/tex]

[tex] \: [/tex]

Solution:-

now , put the given values of x = -2 nd y = 5 in equation :

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Answer:-45

Step-by-step explanation:

first plug in the x and the y values

4(-2)(5)-(-2+7)

The start using pemdas to simplify

*or bodmas depends on what you learned

Then you should arrive to this

4(-2)(5)+ -(5)

-8(5)+ -5

-40-5= -45

Hope that helps

The value of the function f(-10), f(2) and f(3) is 20201, 17 and 142 respectively.

According to the remainder theorem, when a polynomial p(x) is divided by a linear polynomial q(x) whose zero is x = a, the remainder is given by r = p(a). The remainder theorem enables us to calculate the remainder of the division of any polynomial by a linear polynomial, without actually carrying out the steps of the long division.

Given that, f(x)=2x⁴+x²-10x+1.

Here, f(-10)

Substitute x=-10 in the given function, we get

f(-10)= 2(-10)⁴+(-10)²-10(-10)+1

= 20000+100+100+1

= 20201

Substitute x=2 in the given function, we get

f(2)= 2(2)⁴+(2)²-10(2)+1

= 32+4-20+1

= 17

Substitute x=3 in the given function, we get

f(3)= 2(3)⁴+(3)²-10(3)+1

= 162+9-30+1

= 142

Therefore, the value of the function for x=-10 is 20201.

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The normal distribution is N(151, 7), the z-score for verbal and quantitative reasoning are 1.29 and 0.52 respectively.

(a) The shorthand for the normal distribution of the Verbal Reasoning section is N(151, 7), where 151 is the mean score and 7 is the standard deviation. The shorthand for the normal distribution of the Quantitative Reasoning section is N(153, 7.67), where 153 is the mean score and 7.67 is the standard deviation.

(b) Sophia’s Z-score on the Verbal Reasoning section is (160-151)/7 = 1.29. Her Z-score on the Quantitative Reasoning section is (157-153)/7.67 = 0.52.

(c) The Z-scores represent how many standard deviations above or below the mean Sophia’s scores are. A Z-score of 1.29 on the Verbal Reasoning section means Sophia’s score is 1.29 standard deviations above the mean score of all test takers. A Z-score of 0.52 on the Quantitative Reasoning section means Sophia’s score is 0.52 standard deviations above the mean score of all test takers.

(d) Sophia did better on the Verbal Reasoning section because her Z-score is higher for that section.

(e) To find the percentile scores, we use the standard normal distribution table. Sophia’s percentile score on the Verbal Reasoning section is the percentage of test takers who scored lower than her. Using the Z-score of 1.29 and the table, we find that her percentile score is approximately 90.7%. Her percentile score on the Quantitative Reasoning section is the percentage of test takers who scored lower than her. Using the Z-score of 0.52 and the table, we find that her percentile score is approximately 69.4%.

(f) To find the percentage of test takers who did better than Sophia on each section, we can use the standard normal distribution table again. For the Verbal Reasoning section, we need to find the area to the right of Sophia’s Z-score of 1.29. Using the table, we find that this area is approximately 9.3%. Therefore, approximately 9.3% of test takers did better than Sophia on the Verbal Reasoning section. For the Quantitative Reasoning section, we need to find the area to the right of Sophia’s Z-score of 0.52. Using the table, we find that this area is approximately 30.4%. Therefore, approximately 30.4% of test takers did better than Sophia on the Quantitative Reasoning section.

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Answer:

Let's use A to represent the number of adult tickets sold and C to represent the number of children's tickets sold.

We know that A + C = 166, since the total number of tickets sold is 166.

We also know that the revenue earned from adult tickets is $5A and the revenue earned from children's tickets is $3C. Since the total revenue earned is $718, we can write:

5A + 3C = 718

Now we have two equations with two variables:

A + C = 166

5A + 3C = 718

We can solve for A in the first equation to get:

A = 166 - C

Then we can substitute this expression for A into the second equation:

5(166 - C) + 3C = 718

Simplifying and solving for C, we get:

830 - 2C = 718

2C = 112

C = 56

So 56 children's tickets were sold. We can substitute this value back into the first equation to solve for A:

A + 56 = 166

A = 110

Therefore, 110 adult tickets were sold.

Answer:

Step-by-step explanation:

Let's use the following variables:

a = number of adult tickets sold

c = number of children tickets sold

We know that:

a + c = 166 (total number of tickets sold)

5a + 3c = 718 (total revenue)

We can solve this system of equations by substitution or elimination. Here, we'll use elimination:

Multiply the first equation by 3: 3a + 3c = 498

Subtract the second equation from the first: 2a = 220

Solve for a: a = 110

So 110 adult tickets were sold. We can find the number of children's tickets by substituting a = 110 into either of the original equations:

c = 166 - a = 166 - 110 = 56

Therefore, 110 adult tickets and 56 children's tickets were sold.

The amount of snow that fell each week was 2 units (assuming the units are consistent with the original scenario.

Snowfall measurement is the process of determining the amount of snow that falls at a particular location during a specific period of time. Accurate snowfall measurement is important for a variety of reasons, including transportation safety, weather forecasting, and water resource management.

If the same amount of snow fell the following winter, but the same amount of snow fell each week, and there were the same number of weeks, then we need to divide the total amount of snow by the number of weeks to find the amount of snow that fell each week.

Looking at the diagram, we can estimate the total amount of snow that fell by counting the number of asterisks (*) in the diagram. There are 8 asterisks, which represent the total amount of snow that fell over the winter.

Since there are 4 weeks (the same number of weeks as the original scenario), we can divide the total amount of snow by 4 to find the amount of snow that fell each week:

Total amount of snow = 8 asterisks

Amount of snow that fell each week = Total amount of snow / Number of weeks

= 8 / 4

= 2

Therefore, the amount of snow that fell each week was 2 units (assuming the units are consistent with the original scenario).

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Part a: Compounded Semiannually: A = 20,771.75.

Part b: Compounded quarterly: A = 20817.66.

Part c: Compounded monthly: A = 20848.76

Part d: Compounded continuously :A = 407,538.49

Compound interest formula:

A = P[tex](1 + \frac{r}{n} )^{nt}[/tex]

And

A = P[tex]e^{rt}[/tex]

Principal P : $15,000

Time t = 6 years

Rate of interest r = 5.5%

number of time compounded - n

Part a: Compounded Semiannually:

r --> r/2

n = 2

A = 15,000[tex](1 + \frac{0.055}{2} )^{2*6}[/tex]

A = 20,771.75

Part b: Compounded quarterly:

r --> r/4

n = 4

A = 15,000[tex](1 + \frac{0.055}{4} )^{4*6}[/tex]

A = 20817.66

Part c: Compounded monthly:

r --> r/12

n = 12

A = 15,000[tex](1 + \frac{0.055}{12} )^{12*6}[/tex]

A = 20848.76

Part d: Compounded continuously

A = Pe∧(rt)

A = 15,000(2.72)∧(0.55*6)

A = 407,538.49

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Most TCS foods cool from 135°F to 70°F within two hours and from 70°F to 41°F within four hours when they're stored.

TCS foods are those foods that require time and temperature control to prevent the growth of harmful bacteria and other microorganisms that can cause foodborne illness.

The general rule is that TCS foods should be cooled from 135°F to 70°F within two hours and from 70°F to 41°F within an additional four hours. This means that the total time for cooling TCS foods should not exceed six hours.

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The full question is:

Fill in the blanks:

Most TCS foods cool from _________ within two hours and from _______ within four hours when they're stored. This means that they are considered safe since bacterial growth has not reached dangerous levels yet.

Atul's father is mistaken, and Atul's request for an increase in his allowance may be valid based on the information given.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To determine whether Atul's allowance is above or below the average, we need to calculate the average allowance for all the friends, including Atul.

To do his, we add up all the amounts and divide by the total number of friends:

Average allowance = (120+180+100+50+250+200+200+220+150+100+100+150+130+200+180+100+150+100+180+150+120+150+100+150+100+120+180+200+50) / 29

Average allowance = 162.07

So, the average allowance for Atul's friends, including himself, is Rs. 162.07 per day.

Since Atul's allowance is Rs. 120 per day, we can see that his allowance is actually less than the average.

Therefore, Atul's father is mistaken, and Atul's request for an increase in his allowance may be valid based on the information given.

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Answer:

consonance

Step-by-step explanation:

consonance are words that end the same

spins and veins

The correct option c ) m∠5 + m∠2 = m∠3 + m∠2, is the missing statement in step 4.

When a transversal divides two parallel lines, the resulting alternate interior angles are congruent.

Thus,  m∠5 + m∠2 = m∠3 + m∠2, is the missing statement in step 4.

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Answer:

Step-by-step explanation:

200,000 square kilometers is a good estimate for the area of South Dakota because the actual area of South Dakota is approximately 199,729 square kilometers according to the United States Geological Survey (USGS).

This means that the estimate is only off by about 0.1% of the actual area. This level of accuracy is generally considered to be very good for an estimate, especially when dealing with large areas like states or countries.

Additionally, 200,000 square kilometers is a round number and easy to remember, making it a useful estimate in contexts where a precise value is not necessary. It also allows for quick comparisons with other areas or states that may be roughly similar in size.

Overall, 200,000 square kilometers is a good estimate for the area of South Dakota because it is reasonably close to the actual value, easy to remember, and useful for rough comparisons with other areas.

ALSO:

South Dakota is approximately 383 miles long (east to west) and 237 miles wide (north to south).

It has the approximate shape of a rectangle, its Area = (Base x Height)= (383 x 237)= 90,771.00 miles ^2 which are 235,095.81 Km^2. So by this geometric reasoning we can have a correct approximation of the area of ​​South Dakota.

As a result, y = -x + 1/2 is the equatiοn οf the tangent line tο the curve x² + y² = (2x² + 2y² - x)² at the pοsitiοn (0,1/2).

An equatiοn in mathematics is a claim that twο mathematical expressiοns are equivalent. An equatiοn has an equal sign, typically has οne οr mοre factοrs, and can be sοlved fοr by applying algebraic οr numerical techniques. Equatiοns are used tο represent real-wοrld phenοmena, resοlve issues, and make predictiοns in many branches οf mathematics, science, and engineering.

given:

We must first use implicit differentiatiοn tο determine the derivative οf the curve in οrder tο determine the equatiοn οf the tangent line tο the curve at the pοsitiοn (0,1/2).

By taking the derivative οf the equatiοn's twο sides with regard tο x, we arrive at:

dy/dx = 2x + 2y

(2x² + 2y²- x) * (4x - 1) (4x - 1)

When we sοlve fοr dy/dx and simplify this equatiοn, we get:

[(1 - 4x)(2x + 2y)] Equals dy/dx / [4(2x² + 2y² - x) - 2y(1 - 4x)]

The slοpe οf the tangent line at the pοint (0,1/2) can nοw be calculated by plugging in the numbers x = 0 and y = 1/2:

dy/dx = [(1 - 4(0))

(2(0) + 2(1/2))] / [4(2(0)² + 2(1/2)² - 0) - 2(1/2)(1 - 4(0))] = -1

Therefοre, the tangent line's slοpe at the pοsitiοn (0,1/2) is negative οne. We can use the pοint-slοpe fοrm οf a line tο determine the equatiοn οf the tangent line:

where (x1,y1) is the tangency pοint and m is the inclinatiοn οf the tangent line. When we enter the numbers we have, we οbtain:

y - 1/2 = -1(x - 0) (x - 0)

When we simplify this sοlutiοn, we οbtain:

y = -x + 1/2

As a result, y = -x + 1/2 is the equatiοn οf the tangent line tο the curve x² + y2 = (2x² + 2y² - x)² at the pοsitiοn (0,1/2).

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Answer:

$104,000

Step-by-step explanation:

For simple interest,

I = Prt

where I = interest earned

P = principal, amount invested

r = annual interest rate

t = time in years

I = $40,000 × 0.08 × 20

I = $64,000

The total amount saved is the principal amount plus the interest.

$40,000 + $64,000 = $104,000

The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.

A Venn diagram is a graphical representation of set theory that uses circles or other closed shapes to show the relationships between sets of objects. In a Venn diagram, each set is represented by a circle or other shape, and the area of the circle represents the total number of objects in that set.

The circles are usually drawn so that they overlap, with the overlapping region representing the objects that belong to both sets. Venn diagrams can be used to illustrate set operations such as union, intersection, and complement.

Now,

As i can not draw here

so i will explain it

To create the Venn diagram, we first draw three overlapping circles to represent the sets D, E, and F. We then shade the regions corresponding to the set operations in the expression, starting from the innermost operation and working our way out.

The expression (D ⋃ E) represents the union of sets D and E, so we shade the region where the circles for D and E overlap. This region represents all the elements that are in D or E or both.

Next, we take the union of (D ⋃ E) with F. This means we shade the region where the circle for F overlaps with the region we shaded in the previous step. This region represents all the elements that are in D or E or F or any combination of these sets.

The final Venn diagram should have three overlapping circles, with the region where all three circles overlap shaded to represent (D ⋃ E) ⋃ F.

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Answer:

Coordinates of center: (0, 5)

Radius of circle: 3

All statements and reasons are shown below.

A triangle is a closed two-dimensional geometric shape that has three sides, three angles, and three vertices. Triangles are one of the basic shapes in geometry and can be classified according to the length of their sides (scalene, isosceles, or equilateral) or the size of their angles (acute, right, or obtuse). The sum of the angles of a triangle is always 180 degrees, and the Pythagorean theorem can be used to find the length of one side if the other two sides are known in a right triangle.

According to the given figure:

4. In ΔFGH and ΔFJH,

        Statement                                   Reason

5. In ΔTVY and ΔXWY,

        Statement                                   Reason

6. In ΔKML and ΔPMN,

        Statement                                   Reason

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Answer:

2. x-10=24

Step-by-step explanation:

x is the unknown amount of candy that Charlie has.

He gives ten away (-10).

Now he has 24 pieces.

x-10 = 24

Using the altitude or leg rule, we have:

x ≈ 42.7  

y = 40

z ≈ 53.4

The leg rule is given as:

hypotenuse/leg = leg/part.

The altitude rule is:

left/altitude = altitude/right

To find the value of x, apply the altitude rule:

left = x

right = 24

altitude = 32

Substitute:

x/32 = 32/24

Cross multiply:

24x = 32²

24x = 1,024

x ≈ 42.7  

To find y, apply the leg rule:

leg = y

part = 24

hypotenuse = x + 24 = 42.7 + 24 = 66.7

Substitute:

66.7/y = y/24

y² = 1,600.8

y = √1x00.8

y = 40

To find z, apply the leg rule:

leg = z

part = x = 42.7  

Hypotenuse = 66.7

Substitute:

66.7/z = z/42.7

z² = 2,848.09

z = √2,848.09

z ≈ 53.4

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As the temperature of the pan increases, the heat transfer from the butter to the pan increases, causing the butter to melt faster. Ultimately, this heat transfer is necessary for Luke to prepare his food. Without it, the butter would stay solid and would not cook properly.

Heat transfer is the transfer of energy from one place to another due to a difference in temperature. Heat transfer can occur through conduction, convection, and radiation. Heat is always transferred from hotter to colder objects and the rate of transfer depends on the temperature difference between the two and the material it is passing through. Heat transfer is essential in many natural and man-made processes.

The energy is moving in two directions. Cold is moving from the pan and into the butter, while the heat is moving from the butter and into the pan. This is known as a heat transfer. Heat transfers occur when two objects at different temperatures come into contact with each other. In this case, the cold pan is coming into contact with the warm butter, causing the heat to move from the butter and into the pan. This heat transfer causes the butter to melt. As the temperature of the pan increases, the heat transfer from the butter to the pan increases, causing the butter to melt faster. Ultimately, this heat transfer is necessary for Luke to prepare his food. Without it, the butter would stay solid and would not cook properly.

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The calculation shows that the yearly salary of a supervisor and two drivers is R114,000.

By summing the individual wages of each employee, it is possible to get the combined monthly salary of all the new employees:

Overall monthly compensation [tex]\mathrm{= (2 \times R2,000) + (3\times R4,000) +(1\times (R2,000 +R2,500)) +(2\times R2,500) }[/tex]

[tex]\mathrm{= R4000, R12000, R4,500, and\ R5,000, or \ R25500.}[/tex]

As a result, R25 500 is the total monthly wage for all of the additional employees.

4.1.2

Let x represent the messenger's monthly wage.

Hence the supervisor's monthly pay is x + R2 500, and the driver's monthly pay is R2 500 as well.

The following formula can be used to determine the supervisor's and the two drivers' annual salaries:

Supervisor's annual compensation is equal to (x + R2 500) x 12.

Two drivers' annual salaries come out to (R2 500 x 2) x 12 = R60 000.

Overall annual pay for the supervisor and two drivers is

[tex]\mathrm{= x + R2,500) \times 12 + R60,000}[/tex]

[tex]\mathrm{= 12x + R30,000 + R60,000 \ and \ 12x + R90,000}[/tex]

Assuming that the supervisor and two drivers each earn R114 000 annually, we may construct the following equation:

12x + R90,000 = R114,000

Calculating x:

12x = R24,000 = R2,000

As a result, the messenger's monthly wage is R2000.

Returning this amount to the equation in place of the supervisor's and the two drivers' yearly salaries:

12x + R90 000 = 12(R2 000) + R90 000 = R114 000

As a result, the computation indicates that a supervisor and two drivers each earn R114 000 year.

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Answer:

27 blocks not used in the castle

Step-by-step explanation:

35+18= 53

53-26=27

Answer:

John is 19 and Ann 26

Step-by-step explanation:

to be for real i just counted

Answer:150 times

Step-by-step explanation:

The average professional basketball player's salary is 6x10^6 dollars yearly, while the average American worker's salary is 4x10^4 dollars yearly.

To find how many times greater the average professional basketball player's salary is, we can divide the basketball player's salary by the worker's salary:

6x10^6 / 4x10^4 = (6/4)x10^(6-4) = 1.5x10^2 = 150

Therefore, the average professional basketball player's salary is 150 times greater than the average American worker's salary.

Answer: it is 4:2

Step-by-step explanation: because it is a ratio, both sides can be divided by the same number and still have the same meaning. btw in this case both divided by 2

We can say that approximately 4.29 inches of rain fell in 15 minutes.

We can apply a proportion to determine the amount of rain that fell in 15 minutes.

We can calculate the proportion because we know that 12 inches of rain fell in 42 minutes:

x inches in 15 minutes equals 12 inches in 42 minutes.

where x is how much rain fell in 15 minutes.

We can cross-multiply and simplify to find x's value:

42 minutes equals 12 inches times 15 minutes (x inches)

180 = 42x

x = 180 / 42

x = 4.2857...

We may estimate that 4.29 inches of rain, rounded to the nearest hundredth, fell in 15 minutes.

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