what do you think which of these students do you think evaluated the expression correctly explain your reasoning

Answer:

45

Step-by-step explanation:

Answer:

3x 4x and -5 so

3x+4x-5 is the answer

Hey there!

\(x-5<-2\)

Add 5 to both sides.

\(x-5+5<-2+5=x<3\\x<3\text{(ANSWER)}\)

Hope this helps!

\(\text {-TestedHyperr}\)

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

The autonomous differential equation that satisfies all of the given properties is dy/dx = (y-3)(y+3). This equation has two equilibrium solutions at y = 0 and y = 3, and is positive for -inf < y < 0, and negative for 0 < y < 3, and positive for 3 < y < inf.

To demonstrate this, let's consider the equation at y=-3. Since y=-3 is less than 0, the equation can be simplified to dy/dx = 6. Since 6 is positive, y' is also positive, meaning that y is increasing. Similarly, if y=3, dy/dx = 0 which is neither positive nor negative, so y remains constant. Finally, for y>3, dy/dx = -6, which is negative, so y is decreasing.

Therefore, dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

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The angles that are alternate interior angles are; ∠ONQ and ∠MNQ

Alternate interior angles are defined as the angles that are formed when a transversal intersects two coplanar lines.

Now, from the image of this ​ MO and PR are parallel lines as seen online, it is clear that the angles ∠ONQ and ∠MNQ are alternate interior angles

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Answer:

-105, -104, -103

Step-by-step explanation:

lets the numbers be:

x

x+1

x+2

so:

x+(x+1)+(x+2)=-312

x+x+x+1+2=-312

3x+3=-312

3x=-312-3=-315

x=-315/3=-105

Step-by-step explanation:

the sum of these 2 abgles give you 180°

The Cartesian, or rectangular, coordinate system is composed of an x-axis that runs horizontally and a y-axis that goes vertically.

The rectangular coordinate system of the Cartesian plane, which bears Rene Descartes' (1596–1650) name, assigns each point in the plane a pair of integers.

An x-axis that runs horizontally and a y-axis that runs vertically make up the Cartesian, or rectangular, coordinate system. The origin is the place where the two axes meet. Any point can be characterized by its distance from the origin along the x-axis and along the y-axis, and this distance is represented by the symbol (x, y).

A two-dimensional coordinate plane produced by the intersection of the x- and y-axes is known as the cartesian plane in mathematics. At the location known as the origin, the x- and y-axes cross perpendicularly.

Therefore, the correct answer is option D. A graph used in mathematics to plot points.

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A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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There will not be enough T-shirts for all the students

From the question, the given parameters are:

Number of T-shirt = 1437

From the question, we understand that the principal approximates the number of T-shirts to the nearest hundred

When the number of T-shirts is approximated to the nearest hundred, we have

Approximation = 1400

By comparison, 1400  is less than 1437

This means that the T-shirts will not be enough

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Solve for \(t\) when \(h=0\), given \(v_0=0\) and \(h_0 = 4\).

\(0 = -16t^2 + 4 \implies 16t^2 = 4 \implies t^2 = \dfrac14 \implies t = \dfrac12\)

so it will take half a second for the ball to hit the ground.

Answer:

Step-by-step explanation:

Answer:

A.) Even.

Step-by-step explanation:

If a function is an even function, then

F(-x) = f(x)

Also, if a function is an odd function, then, f(-x) = -f(x)

You are given the below function

f(x) = 1 + 3x^2 − x^4

Let x = 2

Substitute 2 for x in the function

F(x) = 1 + 3(2)^2 - (2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Also, Substitute -2 for x in the function

F(x) = 1 + 3(-2)^2 - (-2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Since f(-x) = f(x), we can conclude that

F(x) = 1 + 3x^2 - x^4 is even

The value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)

Let's simplify the expression step by step:

Recall the values of trigonometric functions for common angles:

cos(60°) = 1/2

sin(30°) = 1/2

tan(60°) = √(3)

cot(45°) = 1

sec(30°) = 2

Substitute the values into the expression:

\(2(cos^4 60 + sin^4 30) - (tan^2 60 + cot^2 45) + 3sec^2 30\)

= \(2((1/2)^4 + (1/2)^4) - (\sqrt{(3)^2 + 1^2} ) + 3(2^2)\)

= 2(1/16 + 1/16) - (3 + 1) + 3*4

= 2(1/8) - 4 + 12

= 1/4 - 4 + 12

= -15/4 + 12

= -15/4 + 48/4

= 33/4

Therefore, the value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)

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Answer: (1,5)

Analysis = \(\frac{1}{2}(2,10)\)

\(=(\frac{1}{2}\times2,\frac{1}{2}\times10)\)

\(=(1,5)\)

I hope this helps you :D

Answer:

7 9/14

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

yessir

William scored is, 8000,

And, Luca scored is, 12000

Given that;

Luca and William are playing a video game and they have scored a total of 20, 000 points. Luca scored 8, 000 more points than William.

Now, We have to given that;

Equations are,

l + w = 20000  .. (i)

l = w+4000   .. (ii)

Hence, We can simplify as;

Plug the value of from (ii) in (i);

w + 4000 + w = 20000

2w + 4000 = 20000

2w=16000

w=8000

From (i);

l = 8000 +4000

l = 12000

Therefore, William scored 8000, Luca scored 12000

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The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.

1. We have a triangle with two known side lengths: 43 and 67 units.

2. The angle included between these sides measures 27 degrees.

3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.

4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).

5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.

6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.

7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.

8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.

9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.

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After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.

The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:

1. Rectangle:

• Area: A = length x width

• Perimeter: P = 2(length + width)

2. Square:

• Area: A = side x side (οr A = side²)

• Perimeter: P = 4 x side

3. Circle:

• Area: A = π x radius²

• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)

4. Triangle:

• Area: A = (base x height) / 2

• Perimeter: P = side1 + side2 + side3

5. Trapezοid:

• Area: A = ((base1 + base2) x height) / 2

• Perimeter: P = side1 + side2 + side3 + side4

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If Samuel ran for 30 minutes covering 4.5 miles, swim for 20 minutes covering 2/3 miles and biked for 45 min covering 9 miles, then the Samuel's average speed during his morning training is 0.15 miles per minute

The Morning activities of Samuel

He ran for 30 minutes, covering 4.5 miles,

He swim for 20 minutes covering 2/3 miles

He biked for 45 minutes covering 9 miles

Total distance travelled = 4.5+ 2/3 +9

= 14.17 miles

Total time taken = 30+20+45

= 95 minutes

The average speed = Total distance / Total time taken

= 14.17/95

= 0.15 miles per minutes

Hence, if Samuel ran for 30 minutes covering 4.5 miles, swim for 20 minutes covering 2/3 miles and biked for 45 min covering 9 miles, then the Samuel's average speed during his morning training is 0.15 miles per minute

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Answer:

34.72

Step-by-step explanation:

44.09/100 × 78.76

=34.72

Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

Answer:

-7y

Step-by-step explanation:

As long as the variable and exponent is the same, they are like terms

Answer: 68y

There are infinitely many ways to answer this. All you need to do is pick your favorite number and then stick y at the end of it. The terms -5y and 68y are like terms because they have the same variable attached.

You can think of 68y-5y as having 68 yoyos and then subtracting off 5 yoyos to get 63 yoyos when all is said and done. In terms of algebra, we would write 68y-5y = 63y.

Answer:

B. 7

Please ask your teacher if you don't know how radicals work

Answer:

(a) Tens=2

(b) Ten thousandths=8

(c) Tenths=4

(d) Ones=1

Step-by-step explanation:

The given number is 921.430865.

The place value names before the decimal point in the number are

\(\cdots-\text{Thousands}-\text{Hundreds}-\text{Tens}-\text{Ones}-[ . decimal]\)

The place value names before the decimal point in the number are

\([decimal.]\text{Tenths}-\text{Hundredths}-\text{Thousandths}-\text{Ten thousandths}-\cdots\)

So, in the given number, the place value of

(a) Tens=2

(b) Ten thousandths=8

(c) Tenths=4

(d) Ones=1

Answer:

K875

Step-by-step explanation:

Principal = 5000

Rate, r = 10% = 10/100 = 0.1

Time = 1 year 9 months

Converting 9 months to year = 9 /12 = 3/4

Hence, time = 1 + 3/4 = 1 3/4 years = 1.75 years

Recall :

Simple interest = principal * rate * time

Simple interest = 5000 * 0.1 * 1.75 = K875

Answer:

I would say about 89ft

Step-by-step explanation:

Answer:

the total distance around the outside of the school lobby is 60 ft