1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
plz hurry

Answer:

-2.5, -0.75, 0.75, 1, 3.

Hey!!!

MAD stands for Mean Absolute Deviation.

Explanation:

Mean Absolute Deviation (MAD) of a data set is the average distance between each data value and the mean.

Hope it helps..

Good luck on your assignment

Answer:

(MAD) is an abbreviation of mean absolute deviation.

Answer: b=116, c=64

Step-by-step explanation:

Answer:

  100 square inches

Step-by-step explanation:

The width of the shelf is BC = 20 - 10 = 10 inches.

The height of the shelf is AB = 30 - 10 = 20 inches.

The area of a triangle with these dimensions is ...

  A = (1/2)bh

  A = (1/2)(10 in)(20 in) = 100 in^2

The area of the shelf is 100 square inches.

Answer:

58 gallons of gas

Step-by-step explanation:

1,284/372= 3.5 Rounded

16.6 * 3.5= 58.1 gallons of gas

Answer:

80

Step-by-step explanation:

honestly it depends on the question but if it's addition, this is the answer

Answer:

A = 1413.72 unit²

Step-by-step explanation:

area of a semicircle formula: A = (πr²)/2

To find the area of a semicircle that has a radius of 30 feet, apply r = 30 to the formula A = (πr²)/2:

A = (π30²)/2

A = 1413.72 unit²

Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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the perimeter of triangle is equal to the sum of all the side of the triangle,

The perimeter of given triangle is x+y+9+3

Solve for x and y,

Apply pythagoras theorem in triangle ADC,

Now, in triangle ADB

Apply pythagoras,

Compare the value of AD from both the equation,

Now, in triangle ABC

Add the equation

Substitute x=6 in the above equation,

So, the value of the other side of triangle are 6, 10.39

Perimeter of triangle =sum of all sides of triangle

ANSWER : Perimeter is 28.39

The future value that Shawn will have in the bank after 5 years of investing $1,000 at a rate of 3% compounded quarterly is $1,161.18.

The equation that represents the situation is B) A = 1,000 (1.0075)⁴ˣ⁵

The future value describes the compounded present value at an interest rate.

The future value can be determined using the above FV formula or equation or an online finance calculator as follows:

N (# of periods) = 20 quarters (5 years x 4)

I/Y (Interest per year) = 3%

PV (Present Value) = $1,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $1,161.18

Total Interest = $161.18

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Answer:

Step-by-step explanation:

The formula for finding the midpoint of two coordinates is expressed as;

M(X,Y) = \((\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\)

Given the coordinates c(-4,5) and d(-1,-4), x1 = -4, y1 = 5, x2 = -1 and y2 = -4.

For the X coordinate of the midpoint

X = x1+x2/2

X = -4+(-1)/2

X = -4-1/2

X = -5/2

X = -2.5

Similarly for Y:

Y = y1+y2/2

Y = 5+(-4)/2

Y = 5-4/2

Y = 1/2

Y = 0.5

Hence the midpoint coordinate of C(-4,5) and D (-1,-4) is (-2.5, 0.5)

Answer:

\(c = 0.35 x + 24\)

Step-by-step explanation:

First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:

cost = 35¢ (number of miles) + $24 (starting fee)

We can also write this like this:

\(c = 0.35x + 24\)

If you want to test this equation, put in a value for the x variable, like so:

Value: 25 miles

\(c = 0.35(25) + 24 \\ c = 8.75 + 24 \\ c = 32.75\)

For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.

The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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Answer:

SSS Postulate

Step-by-step explanation:

Just took the test ;)

The sequence whose nth term is (2n+1)/(3n-1) converges to the number 2/3.

To use L'Hopital's rule, we need to take the limit of the ratio of the nth term and (n-1)th term as n approaches infinity.

Let a_n be the nth term of the sequence. lim (n->∞) a_n / a_(n-1) = lim (n->∞) (2n+1)/(3n-1) / (2n-1)/(3n-4) = lim (n->∞) [(2n+1)/(3n-1)] * [(3n-4)/(2n-1)] = lim (n->∞) [6n^2 - 5n - 4]/[6n^2 - 7n + 4]

By applying L'Hopital's rule, we can find that the limit of this ratio as n approaches infinity is 1. Thus, the sequence converges to the same limit as the ratio of consecutive terms, which is 2/3.

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The collection of sample averages, known as the sampling distribution, would have an average that is equal to the average height of the entire population.

When measuring the height of each team and calculating their average, we are essentially taking samples from the population of all teams. The sampling distribution is created by repeating this process multiple times and calculating the average for each sample. According to the central limit theorem, as the sample size increases, the sampling distribution approaches a normal distribution regardless of the shape of the population distribution.

Therefore, the average of the sampling distribution, which represents the average height of all teams, would be equal to the average height of the entire population. The sampling distribution allows us to make inferences about the population based on the collected samples and provides a measure of the variability of the sample averages.

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The measure of the angle rst is \(105^{o}\).

According to the theorem, a quadrilateral can be inscribed by a circle if and only if its opposing angles are supplementary. A quadrilateral that may be encircled by a circle is known as a cyclic quadrilateral.

The sum opposite angles of a quadrilateral is 180 degrees.

We can see that the angles rst and angle tqr are opposite angles of quadrilateral qrst, hence supplementary angles.

Therefore,

<RST + <TQR = 180

5x+15 + 4x+ 3 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162

x = 162/9

x = 18

Since <RST = 5x+15

<RST = 5(18) + 15

<RST = 90 + 15

<RST = 105degrees

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\(\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ s=\pi \end{cases}\implies \pi =\cfrac{\theta \pi (4)}{180}\implies \cfrac{180}{4\pi }\cdot \pi =\theta\implies 45=\theta\)

This equation relates the rectangular coordinates x and y to the polar angle theta, and describes the curve traced out by the polar equation in the x-y plane.

To convert the polar equation \(r = 4 /cos (\theta) - sin (\theta)\) to rectangular coordinates, we can use the following trigonometric identities:

\(cos(\theta) = x/r\)

\(sin(\theta) = y/r\)

where x and y are the rectangular coordinates of the point.

Substituting these values in the given equation, we get:

r = 4 / (x/r) - y/r

\(r^2 = 4r/x - y\)

\(x^2 + y^2 = 4r - ry\)

Now, we can use the identity \(r^2 = x^2 + y^2\) to substitute for r in the above equation and simplify:

\(x^2 + y^2 = 4(4/cos(\theta) - sin(\theta)) - y(4/cos(\theta) - sin(\theta))\)

\(x^2 + y^2 = (16 - 4sin(\theta))/cos(\theta) - y(4/cos(\theta) - sin(\theta))/cos(\theta)\)

Multiplying both sides by cos(theta), we get:

\(x^2cos(\theta) + y^2cos(\theta) = 16 - 4sin(\theta) - y(4 - sin(\theta))\)

\(x^2cos(\theta) + y^2cos(\theta) + ysin(\theta) = 16 - 4sin(\theta)\)

Therefore, the equation in rectangular coordinates is:

\(x^2cos(\theta) + y^2cos(\theta) + ysin(\theta) = 16 - 4sin(\theta)\)

This equation relates the rectangular coordinates x and y to the polar angle theta, and describes the curve traced out by the polar equation in the x-y plane.

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Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

According to the question we have been given that,

Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours

First we will convert it into simple fraction which is

         \(16\frac{3}{4} = \frac{67}{4} \\\) hours

Number of consulting projects = 3

And Matilda spends same amount of time to each of the project.

To find the time she spend on each project is by using unitary method

that is,            3 projects = \(\frac{67}{4}\) hours

                      1 project = \(\frac{67}{4} / 3\)

                                     = 67/12

                                     = \(5\frac{7}{12}\) hours

Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

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Answer:

A

Step-by-step explanation:

i think...

The transformation is (4, 3)

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation

If the there is rotation of 90° around the origin (0,0), that can be expressed as

(x, y) => (-y, x)

Which means a 90° rotation that can done by changing coordinates positions and inverting the sign of y-coordinate.

However, the problem is giving the transformed coordinates where

Q'(–3, 4)

Hence, the transformation is (4, 3)

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The perimeter of the right triangle is 66.6 cm (rounded to the nearest tenth)Option C is the correct answer.

The given two sides are 19 cm and 20 cm and we need to find the perimeter of the right triangle. We know that the hypotenuse is given by c = √(a²+b²).

The term "perimeter" describes the overall length of a two-dimensional shape's boundary or outer edge. The lengths of all the sides or segments that make up the shape's outline are added to determine it. The distance surrounding an object or the enclosure of an area can be determined by its perimeter. Measurement and comparison of the dimensions of polygons like squares, rectangles, triangles, and circles are frequently employed in geometry. In many \(\sqrt{a^2+b^2}\)everyday situations, such as constructing a fence for a garden, calculating the amount of building materials required, or calculating the distance travelled along a route, knowing a shape's perimeter is crucial.

Let's first find the hypotenuse of the right triangle.The hypotenuse is given by:c = \(\sqrt{(a^2+b^2)c}  = \sqrt{19^2+20^2)c}\) = \(\sqrt{(361+400)c}  = \sqrt{761c }\)= 27.568Which rounds off to 27.6 cm (rounded to the nearest tenth).The perimeter of the right triangle is given by:

P = a + b + cP = 19 + 20 + 27.6P = 66.6

Therefore, the perimeter of the right triangle is 66.6 cm (rounded to the nearest tenth)Option C is the correct answer.

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Step-by-step explanation:

1) To draw triangle ABC, we start by drawing a line segment BC of length 6 cm. Then we draw an angle of 40° at point B, and an angle of 60° at point C. We label the intersection of the two lines as point A. This gives us triangle ABC.

```

C

/ \

/ \

/ \

/ \

/ \

/ \

/ \

/_60° 40°\_

B A

```

2) To find the measure of angle BAC, we can use the fact that the angles in a triangle add up to 180°. Therefore, angle BAC = 180° - 40° - 60° = 80°.

3) To show that ABD is an isosceles triangle, we need to show that AB = AD. Let E be the point where the bisector of angle BAC intersects AB. Then, by the angle bisector theorem, we have:

AB/BE = AC/CE

Substituting the given values, we get:

AB/BE = AC/CE

AB/BE = 6/sin(40°)

AB = 6*sin(80°)/sin(40°)

Similarly, we can use the angle bisector theorem on triangle ACD to get:

AD/BD = AC/BC

AD/BD = 6/sin(60°)

AD = 6*sin(80°)/sin(60°)

Since AB and AD are both equal to 6*sin(80°)/sin(40°), we have shown that ABD is an isosceles triangle.

4) To show that MD is the perpendicular bisector of AB, we need to show that MD is perpendicular to AB and that MD bisects AB.

First, we can show that MD is perpendicular to AB by showing that triangle AMD is a right triangle with DM as its hypotenuse. Since M is the midpoint of AB, we have AM = MB. Also, since ABD is an isosceles triangle, we have AB = AD. Therefore, triangle AMD is isosceles, with AM = AD. Using the fact that the angles in a triangle add up to 180°, we get:

angle AMD = 180° - angle MAD - angle ADM

angle AMD = 180° - angle BAD/2 - angle ABD/2

angle AMD = 180° - 40°/2 - 80°/2

angle AMD = 90°

Therefore, we have shown that MD is perpendicular to AB.

Next, we can show that MD bisects AB by showing that AM = MB = MD. We have already shown that AM = MB. To show that AM = MD, we can use the fact that triangle AMD is isosceles to get:

AM = AD = 6*sin(80°)/sin(60°)

Therefore, we have shown that MD is the perpendicular bisector of AB.

5) Finally, to show that DM = DN, we can use the fact that triangle DNM is a right triangle with DM as its hypotenuse. Since DN is the orthogonal projection of D on AC, we have:

DN = DC*sin(60°) = 3

Using the fact that AD = 6*sin(80°)/sin(60°), we can find the length of AN:

AN = AD*sin(20°) = 6*sin(80°)/(2*sin(60°)*cos(20°)) = 3*sin(80°)/cos(20°)

Using the Pythagorean theorem on triangle AND, we get:

DM^2 = DN^2 + AN^2

DM^2 = 3^2 + (3*sin(80°)/cos(20°))^2

Simplifying, we get:

DM^2 = 9 + 9*(tan(80°))^2

DM^2 = 9 + 9*(cot(10°))^2

DM^2 = 9 + 9*(tan(80°))^2

DM^2 = 9 + 9*(cot(10°))^2

DM^2 = 9 + 9*(1/tan(10°))^2

DM^2= 9 + 9*(1/0.1763)^2

DM^2 = 9 + 228.32

DM^2 = 237.32

DM ≈ 15.4

Similarly, using the Pythagorean theorem on triangle ANC, we get:

DN^2 = AN^2 - AC^2

DN^2 = (3*sin(80°)/cos(20°))^2 - 6^2

DN^2 = 9*(sin(80°)/cos(20°))^2 - 36

DN^2 = 9*(cos(10°)/cos(20°))^2 - 36

Simplifying, we get:

DN^2 = 9*(1/sin(20°))^2 - 36

DN^2 = 9*(csc(20°))^2 - 36

DN^2 = 9*(1.0642)^2 - 36

DN^2 = 3.601

Therefore, we have:

DM^2 - DN^2 = 237.32 - 3.601 = 233.719

Since DM^2 - DN^2 = DM^2 - DM^2 = 0, we have shown that DM = DN.

according to the national institute on drug abuse, a u.s. government agency, 17.3% of 8th graders in 2010 had used marijuana at some point in their lives . Since all three conditions are satisfied, we can use the normal model to represent the distribution of sample proportions

Randomness: The sample must be selected randomly from the population. The problem states that the health department for the district uses anonymous random sampling, so the randomness condition is satisfied.

Independence: The sample size must be less than 10% of the population size. The problem does not give us the population size, but since the sample size is 80 and we are dealing with eighth-graders in a district, it is reasonable to assume that the population size is much larger than 800.

Success-Failure: The number of successes and failures in the sample must be at least 10. The number of eighth-graders in the sample who have used marijuana is 0.1 x 80 = 8. Both of these numbers are greater than 10, so the success-failure condition is also satisfied.

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Answer:

28

Step-by-step explanation:

1 + 2 + 3 + 4 + 5 + 6 + 7

Answer:

45 mph

Step-by-step explanation:

3/4x60=45

Singam missed the target 16 times in the shooting game

Assumng A be the number of times Singam hits the target and x be the number of times he misses the target

then

A + x = 50

5A - 3x = 122

finding A in terms of x

A = 50 - x

Substituting and simplifying

5 * (50 - x) - 3x = 122

250 - 8x = 122

8B = 128

x = 16

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Answer:

a open and close switch and a condentation out put.

Answer:

B.

Step-by-step explanation: