Please answer quick I will mark BRAINLIEST . Simplify the expression (-1/7r - 9 -2/3r) - (-5/7r + 10)
A. -32/21r - 1
B. -2/21r + (-19)
C. -2/21r - 1
D. 4/11r + (-19)

Note that the  the probability that both spins result in the same color is 0.28

Probability of getting ...


red on both spins = (1/5) x   (1/5) = 1/25

yellow on both spins = (1/5) x  (1/ 5) =  1/25

blue on both spins = (1/5) x  (1/5 =  1/25

pink on both spins = (2/5)x (2/5) =  4/25

So the total   probability of getting the same color in both spins is computed as        

= 1/25 + 1/25 +  1/25 +  4/25

= 7/25 or 0.28

So the correct asnwer is 0.28 or 7/25

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The determinant of the given 10 x 10 matrix is 1024.

A matrix is described as  a rectangular array or table with rows and columns and numbers, symbols, or expressions that is used to represent a mathematical object or a property of such an object.

We apply the knowledge that the determinant of a diagonal matrix is the product of its diagonal entries in order to find the determinant of a 10 x 10 matrix with 2s on the main diagonal and zeros elsewhere,

Determinant = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

We then calculate for the product and have:

Determinant = [tex]2 ^ 1^0[/tex] = 1024

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The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."

also "get it right please" ?! how rude

The area of the figure is 24.28 cm²

Any figure that we can break and form more than one basic shape from is called a composite figure.

The composite figure can be broken into a right triangle, a rectangle and a semi circle.

area of triangle = 1/2 bh

= 1/2 × 4 × 3

= 2 × 3

= 6 cm²

area of the rectangle = l × w

= 3 × 4

= 12 cm²

area of the semi circle = 1/2 πr²

= 1/2 × 3.14 × 2²

= 3.14 × 2

= 6.28cm²

Therefore the area of the composite figure =

6 + 12 +6.28

= 24.28 cm

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The range of the set {0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5} is 5.

The range of a set of numbers is the difference between the largest and smallest numbers in the set.

The set is {0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5}.

The range first need to identify the smallest and largest numbers in the set.

The smallest number is 0 appears three times.

The largest number is 5.

The range is:

5 - 0 = 5

The range of the set {0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5} is 5.

The range is a measure of the spread or variability of a set of numbers.

It tells us how much the values in the set differ from each other.

The range of 5 indicates that the values in the set are spread out over a range of 5 units.

The set includes consecutive integers from 0 to 5 with multiple occurrences of some of these integers.

While the range provides a measure of the spread it is only one of many measures that can be used to describe the characteristics of a set of data.

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The approximate value of √329 to the nearest integer is 18.

Approximation is the process of using rounded values when presenting numerical data and making rough calculations.

To approximate √329 to the nearest integer, we can find the perfect squares that are less than or equal to 329.  

The perfect squares less than or equal to 329 are 16, 25, 36, and 49. But the nearest perfect square to 329 is 324, which is the square of 18 (i.e. 18² = 324).

Therefore, the nearest integer to √329 is 18.

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The solution of the equation [tex]\rm 5^{-x/16} = 5[/tex] will be negative 16.

Given that:

Equation, [tex]\rm 5^{-x/16} = 5[/tex]

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

Take log on both sides, then we have

(-x / 16) log 5 = log 5

-x / 16 = 1

x = -16

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The value of x in the circle using the intersecting secants and tangents equation is 4

From the question, we have the following parameters that can be used in our computation:

The circle

The value of x in the circle can be calculated using the intersecting secants and tangents equation

So, we have

6² = x * (x + 5)

When expanded, we have

x² + 5x - 36 = 0

When factored, we have

(x + 9)(x - 4) = 0

Using the zero product property , we have

x = -9 or x = 4

The valiue of x cannot be negative

So, we have

x = 4

Hence, the value of x in the circle is 4

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The measure of angle CDE is 70°.

Option C) 70° is correct.

Angle BAC measures 80°.

Point D is located on side BC such that BD = CD.

Angle ADE measures 30°.

To find: Measure of angle CDE.

Since angle BAC measures 80° and angle ADE measures 30°, we can determine the measure of angle CDE by subtracting the sum of these two angles from 180° (the total measure of angles in a triangle).

Measure of angle CDE = 180° - (80° + 30°)

= 180° - 110°

= 70°

Therefore, the measure of angle CDE is 70°.

The correct answer is:

C) 70°

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The  complete question may be like;

In the diagram below, triangle ABC is shown. Angle BAC measures 80°. Point D is located on side BC such that BD = CD. Angle ADE measures 30°. What is the measure of angle CDE?

A) 50°

B) 60°

C) 70°

D) 80°

Please let me know if you have any specific requirements or if there's anything else I can assist you with.

Answer:

Step-by-step explanation:

4x/3 + x/6 =6

get a common denominator first

8x/6 + x/6 =6

then add

9x/6 = 6

multiply by six

9x = 36

divide by 9

x= 4

Answer:

11.49

Step-by-step explanation:

a^2+b^2=c^2

think of this as a triangle, we are going to use Pythagorean theorem.

the hypotenus is 14 ft and one of the legs is 8 ft. so the other leg is x

8^2 + x^2 = 14^2

64 + x^2 = 196

subtract the 64 on both sides

x^2 = 132

to counter the square we square root it

so x = the square root of 132 which comes out to a decimal

11.489....

rounded it would be 11.49

hope this helped

The area of a right triangle with a height of 8 yards and a base of 17 yards is 136 square yards.

The area of a right triangle with a height of 8 yards and a base of 17 yards can use the formula for the area of a triangle:

Area = (base x height) / 2

Substituting the given values into the formula get:

Area = (17 x 8) / 2

Area = 136 square yards

The area of the right triangle is 136 yd².

To understand why this formula works can visualize the right triangle as half of a rectangle.

The height of the triangle is one side of the rectangle and the base of the triangle is the adjacent side of the other half of the rectangle.

The area of the rectangle is the product of its height and base is twice the area of the right triangle.

The product of the height and base by 2 to get the area of the right triangle.

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18 will be the result of the given problem.

Applying the order of operations (PEMDAS), we first calculate the value inside the parentheses, which is 3 + 6 = 9.

Then we multiply 4 by 9, which gives 36.

Finally, we divide 36 by 2, which gives the final answer of 18. Therefore:

4 x (3 + 6) ÷ 2 = 18

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The measures of NP and AP equals 8

First, it is important to note that;

From the information given, we have that;

The centroid of the triangle divides AN in the ratio of 1: 2

Hence, the length of AN is twice that of line NP

So;

AN = 2NP

Substitute the value

18 = 2NP

Divide by the coefficient

NP = 9

But;

AN = NP + AP

Substitute the values, we get;

AP = 18 - 9

AP = 9

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The average weight of a sample of objects is 94.83 pounds and the spread of the weights around the mean is measured by the sample standard deviation, which is 31.16 pounds.

The given data shows the weights (in pounds) of adult wild mountain lions captured and released for the first time in the San Andres Mountains.

(a) Using a calculator with mean and sample standard deviation keys, we can find the sample mean weight x and sample standard deviation s.

[tex]x = (70 + 107 + 130 + 128 + 60 + 64) / 6 = 94.83 \pounds\\\\s = \sqrt{\frac{(70 - 94.83)^2 + (107 - 94.83)^2 + ... + (64 - 94.83)^2} {5}}[/tex]

= 31.16 pounds

Therefore, the sample mean weight x is 94.83 pounds and the sample standard deviation s is 31.16 pounds.

(b) To find a 75% confidence interval for the population average weight u of all adult mountain lions in the specified region, we can use the formula:

CI = x ± t*(s/√n)

where CI is the confidence interval, x is the sample mean weight, t is the t-score for the desired confidence level (75% in this case), s is the sample standard deviation, and n is the sample size (6 in this case).

From the t-table, the t-score for a 75% confidence level with 5 degrees of freedom is 2.015.

Plugging in the values, we get:

CI = 94.83 ± 2.015*(31.16/√6) = (63.6 pounds, 126.1 pounds)

Therefore, we can be 75% confident that the true population average weight of all adult mountain lions in the specified region is between 63.6 pounds and 126.1 pounds.

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The solution to the given problem of equation comes out to be quotient : x² +x+6+2/(x+2)  and remainder is 2.

We have to find the remainder and quotient

Given : synthetic division for

x³ + 3x² + 8x + 14

------------------------

x + 2

Write the problem in synthetic division format

-2  | 1 3 8 14

        -2 -2  

------------------------

    1   1  6

Carry down the leading coefficient, unchanged, to below the division symbol

-2  |    1 3 8 14

          -2 -2

---------------------------

        1  1   6

Multiply the carry - down value by the zero of the denominator, and carry the result up into the next column:

1(-2)=-2

-2 |  1 3 8 14

       -2 - 2

------------------

    1    1   6

=> We get:

As x² +x+6+ 2/(x+2)

and remainder is 2

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After considering all the given data we conclude that the total distance traveled by the car is 285m, under the condition that the given car starts from rest and moves with an acceleration of 1m/s2 for 15.

The distance traveled during this time can be evaluated using the formula

[tex]s = ut + (1/2)at^2[/tex]

Here,

s = distance traveled,

u =  initial velocity (0),

a = acceleration (1m/s2)

t = time (15s).

Placing in these values we get

s = 0 + (1/2) × 1 × 15²

= 112.5m .

After this, the engine is turned off and the car decelerates due to friction for 10s at an average of 5 cm/s2. The distance traveled during this time can be evaluated applying  the formula

[tex]s = ut + (1/2)at^2[/tex]

Here,

s = distance traveled,

u = initial velocity (the final velocity of the previous step),

a = acceleration (-0.05m/s2)

t = time (10s).

Placing in these values we get

s = 112.5 + (1/2) × (-0.05) × 10²

= 87.5m.

Finally, brakes are applied and it stops after 5s. The distance traveled during this time can be evaluated using the formula [tex]s = ut + (1/2)at^2[/tex]

Here,

s = distance traveled,

u = initial velocity (the final velocity of the previous step),

a = acceleration (-0.05m/s2)

t = time (5s).

Placing in these values we get s = 87.5 + (-0.05)× 5² = 85m.

Therefore, total distance traveled by car can be calculated by adding all three distances together which gives us

112.5m + 87.5 + 85

= 285m.

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The complete question is

A car starts from rest and moves with an acceleration of 1m/s2 for 15. Then the engine is turned off and the car decelerates due to friction for 10s at an average of 5 cm/s2. then the brakes are applied and it stops 5s after calculating the total distance traveled?

Given WX is tangent to OS at point V, the statements that must be true include:

A. m∠TVX =m∠TVX

C. m∠TVW = m∠TSV

D. m∠TUV =m∠TVW

In mathematics, a tangent is a line that touches a curve at exactly one point, without intersecting it at that point. The tangent line at a point on a curve represents the slope of the curve at that point. The concept of tangent is important in calculus, where it is used to calculate derivatives of functions.

TUV = 1/2MTU = TVW

TUV = TVW

Also, MTV = TSV = 2TVW

TVW = TSV

The correct options are A, C and D.

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The total angle measurement of a triangle sum above is 180°. So yes,  it is possible to only make a right angle triangle but  impossible to draw a triangle

To check if a triangle can be drawn with 25°, 65°, and 90° angles, we use the Triangle Angle Sum Theorem stating that all triangle angles add up to 180 degrees.

If you add all the angles together (25 + 65 + 90 = 180°),  We can draw a triangle based on this sum, but we only consider the angles' nature. The triangle has angles of 25°, 65°, and 90°, making it a right triangle. It only applies to right triangle and not others triangle .

Note that based on the given angle measures of 25°, 65°, and 90°, it is impossible to draw a triangle as it does not follow the triangle inequality property.

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The area of the rhombus, obtained from the dimensions, of the diagonals, found from the trigonometric of sines of the angle can be presented as follows;

Area = 8·√3

The area of a plane figure is the two dimensional space occupied by the figure on a plane.

The measure of the angle ABC, m∠ABC = 60°

The length of the segment AE = 2 units

The diagonals of a rhombus bisect each other at right angles, and the right angles through which they pass, therefore;

BE = ED, m∠AEB = 90°

m∠ABE = 30°

sin(30°) = AE/AB

sin(30°) = 2/AB

AB = 2/(sin(30°)) = 4

AB = 4

BE = √(4² - 2²) = √(12) = 2·√3

Therefore; AC = 2 + 2 = 4

BD = 2·√3 + 2·√3 = 4·√3

The area of a rhombus = (1/2) × The product of the length of the diagonals

Therefore;

Area of the rhombus = (1/2) × (4·√3) × 4 = 8·√3

The area of the rhombus = 8·√3

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The required equation of the function with the given characteristics is y = (2/9)|x| whose height will be compressed to 2/9 of the original height.

As per the question, the absolute value function y = |x| looks like a "V" shape with its vertex at the origin and opening upward.

To shrink it vertically by a factor of 2/9, we need to multiply the function by this factor.

Thus, the equation of the function with the given characteristics is:

y = (2/9)|x|

The resulting graph will still have a "V" shape, but its height will be compressed to 2/9 of the original height.

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Answer:

To find the solution to the inequality 9 - y > 12, we need to isolate the variable y.

9 - y > 12

Subtract 9 from both sides:

-y > 12 - 9

-y > 3

Since we have a negative coefficient for y, we need to flip the inequality sign when multiplying or dividing by a negative number. In this case, we can multiply both sides of the inequality by -1 to simplify it further:

y < -3

The inequality states that y is less than -3.

Now let's check which value among the given options satisfies this inequality:

A) 2: 2 is not less than -3. It is greater.

B) -6: -6 is less than -3. It satisfies the inequality.

C) 8: 8 is not less than -3. It is greater.

D) -1: -1 is less than -3. It satisfies the inequality.

Based on the given options, the values that satisfy the inequality y < -

Step-by-step explanation:

Answer:

Step-by-step explanation:

32

Compare the linear relationships shows that

Equation B has the greater slope. It has a slope of 106, and Equation A has a slope of 58, which is smaller.

Equation A is given as y = 58x

The slope is 58

For Equation B  

Slope of Equation B = (change in y) / (change in x)

= (729 - 623) / (13 - 12)

= 106 / 1

= 106

Comparing the slopes, we can see that the slope of Equation B (106) is greater than the slope of Equation A (58)

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Answer:

Hi!, if you need help right away, chat with a tutor!

Step-by-step explanation:

The profit function is given as follows:

P(x) = -0.5x² + 53x - 300.

The profit if 53 mowers are sold is given as follows:

P(53) = -$1,598.5. (loss).

The profit function is obtained as the subtraction of the revenue function by the cost function, as follows:

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

The functions for this problem are given as follows:

Hence the profit function is given as follows:

P(x) = -0.5x² + 91x - (38x + 300)

P(x) = -0.5x² + 53x - 300.

The profit if 53 mowers are sold is given as follows:

P(53) = -0.5(53)² + 53(2) - 300

P(53) = -$1,598.5.

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This is the equation of a hyperbola, since it has a constant difference between the distances from any point on the curve to two fixed points (known as the foci). In this case, the foci are located at (-2, 0) and (2, 0).

To convert the given polar equation, r(1+3sinθ) = 4, to a rectangular equation, we can use the following equations:

x = rcos(θ)

y = rsin(θ)

Substituting r(1+3sinθ) = 4, we get:

x = r*cos(θ) = (4/(1+3sinθ))cos(θ)

y = rsin(θ) = (4/(1+3sinθ))*sin(θ)

Simplifying further, we can use the identity sin^2(θ) + cos^2(θ) = 1 to get:

x = 4cos(θ)/(1+3sinθ)

y = 4sin(θ)/(1+3sinθ)

Therefore, the rectangular equation of the conic section in terms of x and y is:

x = 4cos(θ)/(1+3sinθ)

y = 4sin(θ)/(1+3sinθ).

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398.223 redondeado a la decena más cercana es 400.

Redondear un número a la decena más cercana implica determinar a qué decena se acerca más. En este caso, estamos redondeando el número 398.223.

Para hacer esto, observamos el dígito en la posición de las decenas, que es el 9 en 398.223. El dígito a la derecha de la posición de las decenas es el lugar de las centésimas, que en este caso es 8.

Para redondear a la decena más cercana, seguimos la regla general de redondeo: si el dígito en el siguiente lugar de valor más bajo (en este caso, el lugar de las centésimas) es 5 o mayor, redondeamos hacia arriba el dígito en el lugar de valor objetivo (en este caso, las decenas). Si el dígito es menor que 5, redondeamos hacia abajo.

En nuestro caso, el dígito en el lugar de las centésimas (8) es mayor que 5, por lo que redondeamos hacia arriba el dígito en el lugar de las decenas (9) al número siguiente más alto. Por lo tanto, 398.223 redondeado a la decena más cercana se convierte en 400.

En resumen, redondear 398.223 a la decena más cercana nos da 400 porque el dígito en el siguiente lugar de valor más bajo (8) es mayor que 5.

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