What’s the correct answer for this question?

Answer:

2100

Step-by-step explanation:

30 x 70 = 2100

32 rounds to 30. 67 rounds to 70.

Answer:

\(2100\)

Step-by-step explanation:

Estimate:

Change numbers 32 and 67 to the next factor:

\(30 and 70\)

Multiply together:

\(2100\)

So your answer is B:

\(2100\)

Answer: x=-4

Step-by-step explanation:

-4x=16

Divide by -4 on each side to cancel it out

x=-4

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

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Answer:

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

Step-by-step explanation:

Answer:

The general form of the quadratic function f is f(x) = ax2 + bx + c, ... To get the x-intercepts, we opt to set the given formula g(x)=6 − x − x2 = 0.

Step-by-step explanation:The general form of the quadratic function f is f(x) = ax2 + bx + c, ... To get the x-intercepts, we opt to set the given formula g(x)=6 − x − x2 = 0.

Answer:

$24

Step-by-step explanation:

divide 10.80 by 9 to get 5% of the cost

45/9 = 5%

10.80/9 = $1.20

Multiply 1.20 by 20 to get 100% of the price

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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Answer:

295= 210+X

Step-by-step explanation:

If she has a total of 295 dollars deposited and she had 210 before then you could just subtract 295-210 to find how much she deposited. The answer would be that she deposited 85 dollars in her savings account and the equation is listed above.

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

5, 3

Step-by-step explanation:

There is no solution to the equation.

An equation is a mathematical statement which is formed when two algebraic expression are equated using an equal sign.

A Trigonometric Equation is given

3 cos\(\rm \theta\) +1 = 4

3cos\(\rm \theta\) =3

cos\(\rm \theta\) = 1

\(\rm \theta\) = cos⁻¹ 1

\(\rm \theta\) = 0 , 2nπ , both the solution does not exist as the limit of the function is   0 < theta < 360 ,

There is no solution to the equation.

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The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Let x represent the full area if Mary's garden.

Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4

She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12

The portion of the garden on which she planted tulips would be

x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12

x - x/3 = (3x - x)/3 = 2x/3

Therefore, the fraction of Mary's garden that has tulips would be

(2x/3) /x = 2/3

The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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The solution of the system of functions can be found graphically by locating the point of intersection of the graphs of the different functions.

A function is a rule that maps the elements of one set A to the elements of another set B such that each element of A maps directly to only one element of B.

The solution of an equation, which is the expression of equality of two or more functions is found by locating the point of intersection of the graphs of both functions, which corresponds to the point at which the same input value to both functions produces the same output

The graph of the exponential function y = 2ˣ + 1, (which increases exponentially through the points (-1, 1.5), (0, 2), (2, 5)) and the function y = (1/2)ˣ which decreases exponentially from (-3, 8), (-1, 2), (3, 0.125), intersect at the point given by the solution of the equation;

\(2^x + 1= \left(\dfrac{1}{2} \right)^x\)

2ˣ×2ˣ + 2ˣ = 1

\(2^{2\cdot x} + 2^x = 1\)

\(2^{2\cdot x} + 2^x - 1 = 0\)

Let a = 2ˣ

a² + a - 1 = 0

Therefore;

\(a = \dfrac{-1\pm \sqrt{1-4\times 1\times (-1)} }{2} = \dfrac{-1\pm \sqrt{5} }{2}\)

\(2^x= \dfrac{-1\pm \sqrt{5} }{2}\)

\(x=\dfrac{ ln\left( \dfrac{-1\pm \sqrt{5} }{2}\right)}{ln(2)}\approx -0.694\)

y = 2ˣ + 1

\(y = 2^{-0.694} + 1 \approx 1.618\)

Which gives;

The solution of the equation, \(2^x + 1= \left(\dfrac{1}{2} \right)^x\)is (x, y) = (-0.694, 1.618)

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The inclination of the line represented by the equation y = x + 3 is 1, and the inclination of the line represented by the equation 3x - 2y = 6 is 3/2.

To determine the inclination (or slope) of a straight line, we can examine the coefficients of the variables x and y in the equation of the line.

The inclination represents the ratio of how much y changes with respect to x.

Equation: y = x + 3

In this equation, the coefficient of x is 1, which means that for every increase of 1 in x, y also increases by 1.

This indicates that the inclination of the line is positive, meaning it slopes upwards as x increases.

Since the coefficient of x is 1, the inclination can be expressed as 1/1 or simply 1.

Equation: 3x - 2y = 6

To determine the inclination, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope.

First, isolate y:

-2y = -3x + 6

Divide the entire equation by -2 to solve for y:

y = (3/2)x - 3

Now we can observe that the coefficient of x is 3/2.

This indicates that for every increase of 1 in x, y increases by 3/2. Therefore, the inclination of this line is positive, indicating an upward slope.

The inclination can be expressed as 3/2.

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Answer:

70kilometers

Step-by-step explanation:

first we must find how much one half of a centimeter is

well, its easy, theres already a half for the distance, and the representation is an even number, so cut it in half.

20-10 is 10

and now the multiplication

20x3=60

60+10=70

70 kilometers

Amplitude is the maximum displacement of a function on a graph.

Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.

It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.

But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.

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The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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The function increases by 10 units.

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

The function f(x) = 5x is a linear function with a slope of 5. Therefore, the function increases by 5 units for every 1 unit increase in x.

To determine how the function changes over the interval from x=8 to x=10, we can calculate the difference in the function values at these two points:

f(10) - f(8) = 5(10) - 5(8) = 50 - 40 = 10

This means that the function f(x) = 5x increases by 10 units over the interval from x=8 to x=10.

The function increases by 10 units.

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The point at (-3, 4) is at a distance of 5 units from the point (0, 0).

For two points (x₁, y₁) and (x₂, y₂), the distance between them is given by the formula:

distance = √( (x₁ - x₂)² + (y₁ - y₂)²)

In this case, we want to get the distance between (-3, 4) and (0, 0), using the above formula we will see that the distance is:

distance = √( (-3 - 0)² + (4 - 0)²) = √25 = 5

The distance is 5 units.

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Answer:

The surface area of an object is the total area of all its faces. For a cube with sides of length 9 inches, the surface area can be calculated as follows:

The cube has six faces, all of which are identical squares.

The area of one square face is 9 inches x 9 inches = 81 square inches.

Therefore, the total surface area of the cube is 6 x 81 square inches = 486 square inches.

So the surface area of a cube with sides of 9 inches is 486 square inches.

Explanation:

Divide both sides of 5y ≥ 84 by 5 to get y ≥ 16.8

The set of prime numbers is {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ...}

We see that 17 is the smallest prime such that it makes y ≥ 16.8 a true statement. In other words, 17 ≥ 16.8 is true.

Answer:

May I ask why you are you doing this math in college?

Step-by-step explanation:

Answer:

Use the drop-down menus to complete the statements.

What is 4 ÷  

1

3

?

This problem asks how many groups of  

1/3

are in  

4

.

The quotient of 4 ÷  

1

3

 is  

12

.

Step-by-step explanation:

The completed statements with respect to the parts on the number line are;

What is 4 ÷ 1/3; 12

This problem asks how many groups of 1/3 are in 4

The quotient of 4 ÷ (1/3) is; 12

A number line is a visual representation of the set of real numbers. A number line is a straight line on which each point corresponds to a number. The points on the line are evenly spaced, with the distance between two points representing the difference between the numbers.

The question asks how many groups of 1/3 are in 4, which is equivalent to dividing 4 by 1/3, which can be expressed as 4 ÷ 1/3

To divide a number by a fraction, we can multiply the number by the reciprocal of the fraction.

The reciprocal of a fraction is obtained by flipping the numerator and denominator. The reciprocal of 1/3 is 3/1 which is 3. The expression can therefore, be expressed as follows;

4 ÷ (1/3) = 4 × 3 = 12

The quotient of 4 ÷ (1/3) is 12, which indicates that the number of groups of 1/3 in 4 are 12

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Answer:

205891132094649

Answer:

Step-by-step explanation:

Discussion

9 with a sister

13 with a brother

7 with neither.

The total is 29 so you are  counting some siblings twice. There are 29 - 25 students that have both, so 4 students have both.

P(brother and sister) = 4/25

P(brother and sister) = 0.16

Answer

P = 0.16

Answer:

  5x +3y = -14

Step-by-step explanation:

The equation of the given line is in standard form. This makes it easy to write the equation for a perpendicular line.

__

The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. This can be made to happen by ...

So, the line perpendicular to 3x -5y = 2 will have an equation of the form ...

  5x +3y = c . . . . . for some constant c

The constant will be what is needed to make the line go through the given point. That is, for (x, y) = (-1, -3), the equation is satisfied.

  5(-1) +3(-3) = c = -5 -9 = -14 . . . . . substitute values for x and y

Then the equation for the perpendicular line through (-1, -3) is ...

  5x +3y = -14