Find the area of a traingle given that the base is 19.5cm and height is 8 4/5cm.





Whoever that answers I will mark you as brilliant

The solution is:  the rate of change is 3.

Here, we have,

Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):

g(x) = f(x) - 1

f(x) = 3|x| – 4

so, we get,

g(x) = 3|x| – 4 - 1

      = 3|x| – 5

Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:

rate = g(5) - g(2)/ 5-2

so, we get,

rate = 9/3 = 3

Therefore the rate of change is 3.

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Answer:

I think its 12.

Step-by-step explanation:

Answer:

4 braclets

Step-by-step explanation:

The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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We are given the Geometric Series:

\(2 + \frac{2}{3} + \frac{2}{9} + \frac{2}{27} + \frac{2}{81} + \frac{2}{243} + \frac{2}{729}\)

which can be rewritten as:

\(2 + \frac{2}{3} + \frac{2}{3^{2} } + \frac{2}{3^{3}} + \frac{2}{3^{4}} + \frac{2}{3^{5}} + \frac{2}{3^{6}}\)

here, we can see that every term is (1/3) times the last term

Hence, we can say that the common ratio of this Geometric Series is 1/3

Finding the Sum:

We know that the sum of a Geometric Series is:

\(S_{n} = \frac{a(r^{n}-1)}{r-1}\)

(where r is the common ratio, a is the first term, and n is the number of terms)

another look at the given Geometric Series tells us that the first term is 2 and the number of terms is 7

plugging these values in the formula, we get:

\(S_{n} = \frac{2((1/3)^{7}-1)}{(1/3)-1}\)

\(S_{n} = \frac{-1.99}{-0.67}\)

Sₙ = 2.97

Step-by-step explanation:

\( \tt2 + \frac{2}{3} + \frac{2}{ {3}^{2} } + \frac{2}{ {3}^{3} } + \frac{2}{ {3}^{4} } + \frac{2}{ {3}^{5} } + \frac{2}{ {3}^{6} } \)

r = \(\tt{a_2 \div a_1}\)

r = \(\tt{\frac{2}{3} \div 2}\)

r = \(\tt{\bold{\frac{1}{3}}}\)

Soo :

\( \sf s_n = \frac{a( {r}^{n} - 1) }{r - 1} \)

\( \sf s_7 = \frac{2(( \frac{1}{3} ) {}^{7 - 1} - 1) }{( \frac{1}{3} - 1) } \)

\( \sf s_7 \approx \bold{ \underline{2.97}}\)

Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

Answer:

c. It does not appear to be within statistical control because there is an upward trend.

Step-by-step explanation:

Statistical process control is a method for quality control which employs statistical method to monitor and control process. It ensures operation efficiency and ensuring required specification to reduce wastes in production lines. Here the process variation is out of control because the statistical control has an upward trend.

Answer:

D, m<4 is 137°

Step-by-step explanation:

The answer would be D, because m<4 would be supplementary with the angle that's 43 degrees. Supplementary angles add up to 180, so this could be found through the following equation.

x + 43 = 180

x would represent <4

You would now subtract 43 from both sides.

x = 137

Answer:

D. The m<4 is 137°

Step-by-step explanation:

The rest of the angles are not correct because if you add 142+56 (adjacent angles) or the unknown angles (angle 1 + angle 2), it doesn't equal 180. You can picture it as angle 3 and its adjacent angle (56°) equal to 180 sience there sharing one straight line thus being 180°

Answer:

The first option

Step-by-step explanation:

A function is where one input only has one output, in the other options we can see inputs having different outputs, 0,3 and 0-3 in the second and in the third -2,4 and -2,0.

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

Its the last one. I just took the quiz on edge.

Step-by-step explanation: The scale factor is 5. You mutiply  5 with the coordinates. J  is (-3,2) so multiply 5 and -3  which is -15 then do the same thing with 2 which equals 10. J'=(-15,10)

Answer:

The answer is -6.

Step-by-step explanation:

You have to substitute x = -4 into the expressions :

3x - x + 2

= 3(-4) - (-4) + 2

= -12 + 4 + 2

= -6

The ratio of cars to airplanes is 3/2 also written as three halves.

The correct answer choice is option B.

Model airplanes = 8

Model trains = 4

Model cars = 12

Ratio of cars to airplanes = 12 : 8

= 12/8

divide through by 4

= 3/2

Hence, ratio of cars to airplanes is three halves.

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Answer:

C 1728

Step-by-step explanation:

since a volume always goes with the cubic (power of 3) units, tripling all dimensions (in all 3 dimensions / coordinate directions) puts this factor of 3 also to the power of 3 = 27

so, the volume increases by the factor of 27.

64×27 = 1728

0.3 feet/ hour is the average rate of change for the depth of the river, measured as feet per hour, between hour 9 and hour 18

Average rate of change for depth of the river = \(\frac{21 feet - 18 feet}{18 hours- 9 hours}\)

= \(\frac{21- 18}{18-9} feet/ hour\)
= \(\frac{3}{9}\)

=\(\frac{1}{3}\)

= 0.3 feet/ hour

an normal is a single number taken as representative of a list of figures, generally the sum of the figures divided by how numerous figures are in the list( the computation mean). For illustration, the normal of the figures 2, 3, 4, 7, and 9( summing to 25) is 5. Depending on the environment, an average might be another statistic similar as the standard, or mode.

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Complete Question

The depth of a river changes after a heavy rainstorm. Its depth, in feet, is modeled as a function of time, in hours. Consider this graph of the function. Write the average rate of change for the depth of the river, measured as feet per hour, between hour 9 and hour 18. Round your answer to the nearest tenth.

Data points: 3, 5, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

The corresponding box plot is shown below: IQR = Q3 - Q1 = 17 - 7 = 10, Outliers: 3, 22

To create a box plot with at least 20 data points, the following data points were used: 3, 5, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22. The box plot was created using these values and is shown below.

The minimum value is 3, the first quartile (Q1) is 7, the median is 12, the third quartile (Q3) is 17, and the maximum value is 22. To compute the interquartile range (IQR), the formula IQR = Q3 - Q1 is used, which in this case is 17 - 7 = 10.

In terms of outliers, any values outside of the range Q1 - 1.5 * IQR and Q3 + 1.5 * IQR are considered outliers. In this case, these values are 3 and 22, respectively.

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Step-by-step explanation:

5/6 +1/3 +1/2+3/4

Make sure they have a common denominator

In this case the common denominator is 12

So..

5/6 ×2/2...1/3×4/4...1/2×6/6...3/4×3/3

10/12+4/12+6/12+9/12

=29/12

=2&5/12 grams/pounds/ounces?

Answer:

cool

Step-by-step explanation:

Answer:

LOL that's just

Step-by-step explanation:

epik uhhh wsg?

Answer:

Area: 18x² + 63x

Perimeter: 22x + 14

Answer:

Umbrella insurance is a type of personal liability coverage the goes above and beyond the amount the a regular home or vehicle insurance offers.

Step-by-step explanation:   I just looked it up hope that answers your question.

We have shown that the path of a moving point with velocities u + ey and v + ex, parallel to the axes of x and y, is either a line (when v - \(e^2\) ≠ 0) or a horizontal line (when v - \(e^2\) = 0), both of which are conic sections.

To show that the path of a moving point parallel to the axes of x and y with velocities u + ey and v + ex is a conic section, we can analyze the motion of the point using the principles of calculus and conic sections.

Let's denote the position of the point at any given time t as (x, y). We are given that the velocities along the x and y axes are u + ey and v + ex, respectively. This means that the derivatives of x and y with respect to time, dx/dt and dy/dt, can be expressed as:

dx/dt = u + ey

dy/dt = v + ex

Now, let's integrate these expressions to obtain x and y as functions of t. Integrating dx/dt with respect to t gives:

x = ut + eyt + C1

Similarly, integrating dy/dt with respect to t gives:

y = vt + ext + C2

Where C1 and C2 are constants of integration.

Now, we can eliminate the parameter t by expressing t in terms of x and y. From the equation y = vt + ext + C2, we can solve for t:

t = (y - ext - C2) / v

Substituting this value of t into the equation for x, we get:

x = u[(y - ext - C2) / v] + ey[(y - ext - C2) / v] + C1

Simplifying this equation, we obtain:

vx - u - evx + ue + vy - \(e^2\)x - eyC2 = C1v

Rearranging the terms, we get:

vx - vy + ue + evx - \(e^2\)x = C1v + eyC2 - u

Let's define new constants A = ue + ev and B = C1v + eyC2 - u. The equation then becomes:

(v - \(e^2\))x + (u + ev)y = A + B

This equation is in the standard form of a conic section, specifically a line. However, we can manipulate this equation further to reveal other possible conic sections.

Let's consider the case when v - \(e^2\) ≠ 0. In this case, we can divide both sides of the equation by v - \(e^2\), yielding:

x + [(u + ev)/(v - \(e^2\))]y = (A + B)/(v - \(e^2\))

Now, let's define another constant C = (u + ev)/(v -\(e^2\)) and rewrite the equation as:

x + Cy = D

Where D = (A + B)/(v - \(e^2\)).

This equation represents a line in the x-y plane.

On the other hand, if v - \(e^2\) = 0, the equation becomes:

0x + (u + ev)y = A + B

This simplifies to:

(u + ev)y = A + B

Which is a horizontal line parallel to the x-axis.

Therefore, we have shown that the path of a moving point with velocities u + ey and v + ex, parallel to the axes of x and y, is either a line (when v - \(e^2\) ≠ 0) or a horizontal line (when v - \(e^2\) = 0), both of which are conic sections.

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At the given point,

\(f(5,0) = \dfrac1{\sqrt{5^2 + 0^2 - 9}} = \dfrac1{\sqrt{16}} = \dfrac14\)

Then the level curve is

\(\dfrac1{\sqrt{x^2 + y^2 - 9}} = \dfrac14 \\\\ \implies \sqrt{x^2 + y^2 - 9} = 4 \\\\ \implies x^2 + y^2 - 9 = 4^2 \\\\ \implies x^2 + y^2 = 25 = 5^2\)

which is a circle centered at the origin with radius 5 - quite easy to sketch.

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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Answer:

First Equation: One Solution

Second Equation: Infinite Solutions

Third Equation: One Solution

Step-by-step explanation:

Let's solve these equations step by step.

\(-2x+3=-3x+2\\\)

Subtract 2 and add 2x

\(1=-x\\x=-1\)

The only solution here is -1.

\(-2x+3=-2x+3\)

Anytime the equations are the same on both sides, we have infinite solutions.

Add 2x

\(3=3\)

Any value of x will satisfy this equation.

\(-2x+3=2x+3\)

Add 2x and subtract 3

\(4x=0\\x=0\)

The only solution here is 0.

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The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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Answer:

p0 = 0.05

Step-by-step explanation:

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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