96,400,400 in scientific notation

Answer: \(-3 < x < -2, 2 < x < 3\)

Step-by-step explanation:

The graph is increasing when as \(x\) increases, \(y\) increases.

The original amount of the video equipment on which technology salespersor earned $2427 commission is $ 80900.

Commission earned: $2427

Percentage of Commission : 3%

Let x be the selling  price of video equipment.

So,

3% of x = 2427

3*x/100 = 2427

x = 2427*100/ 3

x = 809*100

x = 80900

Thus, the original amount of the video equipment on which technology salespersor earned $2427 commission is $ 80900.

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Answer:

The answer c

Step-by-step explanation:

The distance between the two ship based on the angle of depression is 42 meters.

The distance of each ship can be calculated thus:

TanX = opposite / Adjacent

The first ship:

Tan53 = distance/ 82

distance= 108.82 meters

The second ship:

Tan39 = distance/ 82

distance= 66.40 meters

The Difference between the ships are :

Therefore, the distance between the two ships is 42 meters.

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Answer: two of them  are positive and negative

Step-by-step explanation: because there is -30 and -25 that is negative and 1 and 20 that are positive

The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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Answer:

3. 93.48ft

Step-by-step explanation: You just multiply 11.4ft and 8.2ft!

Answer:

46.74ft^2

Step-by-step explanation:

Equation: A = b/2 x h

base = 11.4ft

height = 8.2ft

A = 11.4/2 x 8.2

A = 5.7 x 8.2

A = 46.74

i think its d

Step-by-step explanation:

Answer: The answer is A.

Step-by-step explanation:

If you go on Demos and use the graphing calculator you can see.  

Answer: 3/4 is greater than 1/2  

                                   >

Step-by-step explanation:

The point at (60, 55) represents an item with an original price of $60 that is now being sold at a sale price of $55.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The point at (60, 55)

Now,

This means that customers who enter the special discount code can save $5 on this particular item.

In general, the point (x, y) on the graph represents an item with an original price of x dollars that is being sold at a sale price of y dollars. The graph is showing how the sale price of items changes as the original price increases.

Therefore, by the graph the answer will be $60 and $55.

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The slope of a horizontal line is always zero.

What is slope?

The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are any two points on the line.

The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.

By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:

slope = change in y / change in x = 0 / (any non-zero value of x) = 0

So, the slope of a horizontal line is always zero.

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Answer:

3 students

Step-by-step explanation:

12 - (7 + 2) = 3 students

Step-by-step explanation:

4-2n=5-1+1

+2n. +2n

4=5-1+1+2n

4=5+2n

- 5. -5

-1=2n

-0.5=n

Answer: One solution.

n=-1/2

Step-by-step explanation: 4−2n=5−1+1                                                           4+−2n=5+−1+1                                                                                                     −2n+4=(5+−1+1)                                                                                                   −2n+4-4=5-4                                                                                                           −2n/-2=1/-2                                                                                                            n=-1/2  

The rate of the speeding car is 0.493.

We have,

The police car is at 80 mph and it is 44 yards from the intersection, is increasing at 45 mph, while the other car is 117 yards away from the intersection.

So, Rate of speeding car

= (45- 80)/ (117- 44)

= -35/(-73)

= 35/73

= 0.493

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Answer:

2sqr3, the first option

Step-by-step explanation:

The amount Beth would be able to withdraw quarterly from her inheritance over the next 20 years is Quarterly Payments ≈ $11,124.53

The given parameters in the question;

Present value of inheritance, PV = $500,000

The number of years of withdrawal, n = 20 years

Interest rate, i = 6.4%

The required parameter;

The amount Beth would be able to withdraw quarterly over the next 20 years to draw the account down to zero, given a quarterly interest rate of 6.4%

Method

The required parameter is given by the payment formula

The question is related with annuity given that withdrawals will be made quarterly

The question seeks to find how much she can withdraw so as to exhaust the balance in 20 years

The amount she can withdraw quarterly is given by the payment formula as follows;

\(\mathbf{PMT = PV \times \dfrac{i}{1 - \left(1 + i\right)^{-n}}}\)

Where;

PMT = The amount of quarterly payments

PV = The present value of the investment = $500,000

i = The interest rate = 6.4%

n = The number of years = 20 years

Therefore, we get;

\(\mathbf{PMT = 500,000 \times \dfrac{\dfrac{0.064}{4} }{1 - \left(1 + \dfrac{0.064}{4} \right)^{-4 \times 20}} \approx 11,124.53}\)

The amount she can withdraw quarterly for the next 20 years ≈ $11,124.53

Quarterly payment, PMT = $11,124.53

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

1/4

Step-by-step explanation:

Sample space = 12

Prob of sum = 8 is:

[2,6], [3,5]. [4,4]

That is 3/12 = 1/4

Answer:

(-4)(3) = -12

(-4+3) = -1

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Answer:

  ∠DQE = 65°

Step-by-step explanation:

You want to know the measure of Angle DQE in the given figure.

Triangle ADE is inscribed in a semicircle, so is a right triangle. That makes acute angle AED complementary to acute angle EAD. The latter is given as 50°, so ...

  ∠AED = 90° -50° = 40°

We know that tangent line QE is perpendicular to diameter AE, so angle AEQ is a right angle. Segment ED divides that right angle into complementary angles, so ...

  ∠DEA +∠DEQ = 90°

  ∠DEQ = 90° -∠DEA = 90° -40° = 50°

A.pex angle DEQ in isosceles triangle DEQ being 50° means that the base angles QDE and DQE will have measure ...

  ∠DQE = (180° -50°)/2 = 130°/2

  ∠DQE = 65°

__

Alternate solution

Let angles DQE and QDE be represented by x. Then the sum of angles in quadrilateral ADQE is 360°:

  50° +(90+x)° +x° +90° = 360°

  230° +2x = 360° . . . . . . simplify

  x = 130°/2 = 65° . . . . . solve for x

Answer:

1/4 yards squared

Step-by-step explanation:

Area of a rectangle equals length times width.

1/3 x 3/4 = 3/12, or 1/4

Answer:

It would be 1/4 and if not try 3/12

Step-by-step explanation:

I hope this helped

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

The correct option is the first one, the graphs are:

I) This is an identity.

II) This is a reciprocal function.

III) This is an absolute value function.

IV) This is a square root.

First let's define general graphs for each of these functions.

Then the graphs are:

I) This is an identity.

II) This is a reciprocal function.

III) This is an absolute value function.

IV) This is a square root.

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If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

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Answer:

Step-by-step explanation:

The total cost to be in the team will be $1192. He must earn an average of $119.2 per week for 10 weeks. If Ralph is paid at a flat rate of exactly q dollars each week, so the standard deviation will $0.

Total cost is the sum of all expenditures made to produce a certain level of output; when this total cost is divided by the quantity produced, average or unit cost is discovered. The sum of the fixed and variable costs is the total cost. For instance, if a company has a fixed cost per unit of $30 and a variable cost per unit of $5 that increases as output increases, the total cost will be $35. Total cost is equal to the sum of all fixed and variable costs. Total Cost = (Average Fixed Cost + Average Variable Cost) x Number of Units is another way to express it. All of this had to do with the total cost formula, which is a crucial idea for figuring out the total cost of production.

Here,

The expenses of team is,

Uniform=$67.00

Registration=$50.00

Tournaments=$775.00

Travel =$300.00

Total cost=sum of all expense

=67+50+775+300

=$1192

Average cost=Total cost/number of weeks he worked

=1192/10

=$119.2

Deviation of distribution cost,

If Ralph is paid at a flat rate of exactly q dollars each week then there will be $0 deviation.

It will cost $1192 in total to join the team. For ten weeks, he must make an average of $119.2 per week. If Ralph receives a fixed weekly salary of exactly q dollars, the standard deviation will be zero.

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