Calcule o valor de x, sabendo que as retas “e” “f” e “a” são paralelas
a)36
b)37
c)37,5
d)38

Answer:

A = 176/15

B = 1/19

C = -1

D = - 1/48

E = 80/17

F = - 1/10

Step-by-step explanation:

A) -4/3 x (-75-13)/10

(-4/3) x (-88/10) = 176/15

B) 4/19 - 12/19 + 9/19 = (4 - 12 +9)/19

= 1/19

C) -6/5- (3/34)/(-15/34)

-6/5 - (-1/5)

-6/5 + 1/5 = -1

D) (3/10) x (5/18) = 15/180 = 1/12

(1/16) - (1/12) = - 1/48

E) (3/32) - (1/32) = 2/32 = 1/16

(5/17) / (1/16) = 80/17

F) (4/20) x (12/8) x (-5/15) = - 240/2400 = - 1/10

Answer:

Only one solution (x = 0)

Step-by-step explanation:

From the graph attached,

Parabola in the graph touches the origin.

It doesn't intersect the x-axis.

Therefore, There will be only one root or solution of the given function,

x = 0

The question is incomplete. Kindly see the correct question below

Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108 Write an inequality that represents this

Answer:

9D +6C < 108

Step-by-step explanation:

Let the price of Dvd be D

Let the price of CDs be C

Hence the inequality can be represented as follows

9D + 6C < 108

Answer:

  906 square feet

Step-by-step explanation:

You want to know the area of the patio with the composite shape shown in the figure.

We can divide the shape into two trapezoids and one parallelogram. Each has a height of 12 ft.

The top trapezoid has bases of 13 ft and 23 ft. The parallelogram has a base of 23 ft. The bottom trapezoid has bases of 37 ft and 32 ft.

The relevant area formulas are ...

  A = 1/2(b1 +b2)h . . . . . . area of a trapezoid

  A = bh . . . . . . . . . . . . . area of a parallelogram

Working from the top down, the areas of the composite parts are ...

  A = 1/2(13 +23)(12) = 6(36) = 216 . . . . square feet

  A = (23)(12) = 276 . . . .  square feet

  A = 1/2(37 +32)(12) = 6(69) = 414 . . . . square feet

Then the total area of the walkway and patio is ...

  216 +276 +414 = 906 . . . . square feet

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In a supermartingale , the current variable (\(X_{t}\)) is an overestimate for the upcoming \(X_{t + 1}\).

A sequence of random variable (\(X_{t}\)) adapted to a filtration (\(F_{t}\)) is a martingale (with respect to (\(F_{t}\))) if  all the following holds for all t :

(i)   E|\(X_{t\)| < ∞

(ii) E[ \(X_{t + 1}\)|\(F_{t}\)] = \(X_{t}\)

If instead of condition (ii) we have E [\(X_{t + 1}\)|\(F_{t}\)]  ≥ \(X_{t}\) for all t , we then say that (\(X_{t}\))  is submartingale with respect to (\(F_{t}\)).

If instead of condition (ii) we have E [ \(X_{t + 1}\) | \(F_{t}\)] ≤\(X_{t}\) for all t , we then say that (\(X_{t}\)) is supermartingale with respect to (\(F_{t}\)).

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Answer:

11.20

Step-by-step explanation:

Multiply both equations by 100:

19.99=1999

8.79=879

1999-879=1120

Divide by 100:

1120/100=11.20 saved ................

\(\\ \rm\Rrightarrow |1/3(2^3-10^2/5)|=|1/3(8-20)|=|1/3(-12)|=4\)

\(\\ \rm\Rrightarrow |-(1/6)^3|=(1/6)^3=1/216\)

\(\\ \rm\Rrightarrow |6^3-7^3|=|216-343|=127\)

\(\\ \rm\Rrightarrow |9^2+(-9)^3|=|81-729|=648\)

Answer:

8)  1/216

13)  127

14)  648

15)  4

Step-by-step explanation:

\(\large \begin{aligned}\displaystyle \left|-\left(\frac{1}{6}\right)^3\right| & = \left|-\left(\frac{1^3}{6^3}\right)\right|\\\\& = \left|-\frac{1}{216}\right|\\\\& = \frac{1}{216}\end{aligned}\)

\(\large \begin{aligned}\displaystyle \left|6^3-7^3\right| & = \left|216-343\\ & = \left|-127\right|\\ & = 127\end{aligned}\)

\(\large \begin{aligned}\displaystyle \left|9^2+(-9)^3\right| & = \left|81+(-729)\right|\\& = \left|81-729\right|\\& = \left|-648\right|\\& = 648\end{aligned}\)

\(\large \begin{aligned}\displaystyle \left|\frac{1}{3}\left(2^3-\frac{10^2}{5}\right)\right| & = \left|\frac{1}{3}\left(8-\frac{100}{5}\right)\right|\\\\& = \left|\frac{1}{3}\left(8-20\right)\right|\\\\& = \left|\frac{1}{3}\left(-12\right)\right|\\\\& = \left|\frac{-12}{3}\right|\\\\& = \left|-4\right|\\\\& = 4\\\end{aligned}\)

The probability of observing a sample proportion (p) of 0.11 or less, given a population proportion (p) of 0.14 and a sample size (n) of 148, can be determined using the binomial distribution formula. The probability can be calculated using an Excel spreadsheet or other statistical software.

In this case, the probability is approximately 0.0003. This means that the chance of obtaining a sample proportion of 0.11 or less, given a population proportion of 0.14 and a sample size of 148, is very low. The probability value indicates that such an outcome is highly unlikely to occur by chance alone. It suggests that the observed sample proportion significantly deviates from the population proportion, indicating a potential difference between the sample and the population.

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Answer: 45

Step-by-step explanation:

The LCM of 5 and 9 is 45. To find the least common multiple of 5 and 9, we need to find the multiples of 5 and 9 (multiples of 5 = 5, 10, 15, 20 . . . . 45; multiples of 9 = 9, 18, 27, 36 . . . . 45) and choose the smallest multiple that is exactly divisible by 5 and 9, i.e., 45.

6 or more terms should be used to estimate the sum of the entire series with an error of less than 0.0001.

To determine the number of terms needed to estimate the sum of the series within an error of less than 0.0001, we can apply the Alternating Series Estimation Theorem. The given series is (-1)^n * 1 / (n + 15)^4. Let's break down the steps to find the required number of terms:

The Alternating Series Estimation Theorem states that if a series is alternating, meaning its terms alternate in sign, and the absolute value of each term is decreasing, then the error made by approximating the sum of the series with a partial sum can be bounded by the absolute value of the first omitted term.

We want to estimate the sum of the series with an error of less than 0.0001. This means that we need to find the number of terms such that the absolute value of the first omitted term is less than 0.0001.

The given series is an alternating series as it alternates in sign with (-1)^n. To ensure the series satisfies the conditions of the Alternating Series Estimation Theorem, we need to verify that the absolute value of each term is decreasing.

Let's examine the absolute value of each term: |(-1)^n * 1 / (n + 15)^4|. Since the numerator is always 1 and the denominator is (n + 15)^4, we can see that the absolute value of each term is indeed decreasing as n increases.

Now, we need to find the number of terms such that the absolute value of the first omitted term is less than 0.0001. Let's denote this number of terms as N.

We can set up an inequality based on the first omitted term: |(-1)^(N+1) * 1 / (N + 15)^4| < 0.0001.

To simplify the inequality, we can remove the absolute value signs and solve for N:

(-1)^(N+1) * 1 / (N + 15)^4 < 0.0001.

Considering the (-1)^(N+1) term, we know that its value alternates between -1 and 1 as N increases. Therefore, we can ignore it for now and focus on the other part of the inequality:

1 / (N + 15)^4 < 0.0001.

To eliminate the fraction, we can take the reciprocal of both sides:

(N + 15)^4 > 10000.

Taking the fourth root of both sides, we have:

N + 15 > 10.

Solving for N, we get:

N > 10 - 15,

N > -5.

Since the number of terms must be a positive integer, we can round up to the nearest whole number:

N ≥ 6.

Therefore, 6 or more terms should be used to estimate the sum of the entire series with an error of less than 0.0001.

In summary, according to the Alternating Series Estimation Theorem, 6 or more terms should be used to estimate the sum of the series (-1)^n * 1 / (n + 15)^4 with an error of less than 0.0001.

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If in lixue's garden the green pepper plants grew 5 inches in 3/4 months then at this rate they can grow 0.555 feet in one month

The problem is solved as per the unitary method

In lixue's garden the green pepper plants grew 5 inches in 3/4 months.

In 3/4 months the green pepper grew by 5 inches.

3/4 months can be written as 0.75 months

in 1 month the green pepper plant will grow by (5/0.75) 1

The green pepper plant will grow by 6.66 inches

1 foot is equals to 12 inches

1 inch = 1/12 foot

6.666 inches = (1/12) 6.666

= 0.0833 x 6.666

= 0.555

the plant grew 0.555 feet in 1 month

Therefore, if in lixue's garden the green pepper plants grew 5 inches in 3/4 months then at this rate,they can grow 0.555 feet in one month

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The  small angle approximation is a mathematical technique used to simplify calculations involving angles that are close to zero.

It is used when the angle is so small that sine and cosine can be approximated by their linear terms. This is represented by the formula sinθ ≈ θ and cosθ ≈ 1.

For example, if we have an angle of θ = 0.1 radians, then we can use the small angle approximation to calculate the sine and cosine of the angle as follows:

sinθ ≈ θ = 0.1

cosθ ≈ 1 = 1

This approximation can be seen graphically by plotting the sine and cosine functions. On the graph, the small angle approximation is the line tangent to the curve at the origin. This line can be used to approximate the sine and cosine of small angles near the origin.

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A parameterization for the portion of the sphere of radius 2 that lies between the planes y = 0 and x = 0 in the first octant is x = sin(tπ), y = sin^2(tπ/2), z = 2.

To find a parameterization for the portion of the sphere of radius 2 that lies between the planes y = 0 and x = 0 in the first octant, we can use spherical coordinates.

In spherical coordinates, a point on a sphere is represented by (ρ, θ, φ), where ρ is the radial distance, θ is the azimuthal angle (measured from the positive x-axis), and φ is the polar angle (measured from the positive z-axis).

Considering the given conditions, we know that the sphere lies in the first octant, so both θ and φ will vary from 0 to π/2.

To parameterize the portion of the sphere in question, we can express ρ, θ, and φ in terms of a parameter, say t, where t ranges from 0 to 1.

Let's set up the parameterization:

ρ = 2 (constant, as the sphere has a radius of 2)

θ = tπ/2 (parameterizing from 0 to π/2)

φ = tπ/2 (parameterizing from 0 to π/2)

Now, we can obtain the Cartesian coordinates (x, y, z) using the spherical-to-Cartesian conversion formulas:

x = ρ sin(φ) cos(θ)

y = ρ sin(φ) sin(θ)

z = ρ cos(φ)

Substituting the parameterizations for ρ, θ, and φ, we have:

x = 2 sin(tπ/2) cos(tπ/2)

y = 2 sin(tπ/2) sin(tπ/2)

z = 2 cos(tπ/2)

Simplifying these expressions, we get:

x = 2 sin(tπ/2) cos(tπ/2) = sin(tπ)

y = 2 sin(tπ/2) sin(tπ/2) = sin^2(tπ/2)

z = 2 cos(tπ/2) = 2 cos(0) = 2

Therefore, a parameterization for the portion of the sphere of radius 2 that lies between the planes y = 0 and x = 0 in the first octant is:

x = sin(tπ)

y = sin^2(tπ/2)

z = 2

Here, t varies from 0 to 1 to cover the desired portion of the sphere.

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Answer::))

Step-by-step explanation:xong r

"____

Step-by-step explanation:

............solution

The scores that need to be examined in order to determine the median value of n = 24 are the 12th and 13th values.

In order to determine the median value of n = 24, you would need to examine the 12th and 13th scores. This is because the median value is the middle number of a sequence of values, so when there is an even number of values, the median is the average of the two numbers in the middle. So in the case of n = 24, there are two values in the middle, the 12th and 13th numbers. To find the median, you would need to add the two values together and divide the result by two. This will give you the median value of the sequence. If there were an odd number of values instead of an even number, then the median would be the middle number rather than the average of two numbers.

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The range of value of x in the inequality x/7 ≥ -6 is x≥ -42

Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.

greater than has the sign >

greater than or equal to has the sign ≥

less than has the sign < and

less than or equal to has ≤

solving the range of value of x in the inequality x/7 ≥- 6

multiply both sides by 7

x ≥ -42

Therefore the range of value of x is x ≥ -42

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Answer:

4) 81/16

Step-by-step explanation:

Just solve the equation,

{3^2.5^0/4}^2

(9×1/4)^2

(81/16)

Hope it helps!

Answer:

4

Step-by-step explanation:

The p-value is .11 and the significance level is .05, then we fail to reject the null hypothesis.

The p-value represents the probability of obtaining the observed results, or results more extreme, assuming the null hypothesis is true. In this case, the p-value is greater than the significance level, which means that the observed results are not significant enough to reject the null hypothesis.
With a p-value of .11 and a significance level of .05, we can conclude that there is not enough evidence to reject the null hypothesis.
When comparing the p-value to the significance level (0.05), if the p-value is less than or equal to the significance level, you would reject the null hypothesis, indicating that there is a significant effect or difference.

If the p-value is greater than the significance level, you would fail to reject the null hypothesis, meaning that you cannot conclude that there is a significant effect or difference.

Hence, the p-value (0.11) is greater than the significance level (0.05), you fail to reject the null hypothesis, which means you cannot conclude that there is a significant effect or difference.

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Answer:

A3

D6

Step-by-step explanation:

All answer choices are correct and can form triangles.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,
A set of measurements could be the side lengths of a triangle if and only if the sum of the lengths of any two sides is greater than the length of the remaining side (Triangle Inequality Theorem).

A)

3 cm, 3 cm, 3 cm - This is a valid triangle because the sum of any two sides is greater than the third side.

B)
4 cm, 8 cm, 13 cm - This is a valid triangle because 4+8 > 13, 4+13 > 8, and 8+13 > 4.

C)

5 cm, 9 cm, 14 cm - This is a valid triangle because 5+9 > 14, 5+14 > 9, and 9+14 > 5.

D)

6 cm, 7 cm, 8 cm - This is a valid triangle because 6+7 > 8, 6+8 > 7, and 7+8 > 6.

E)

7 cm, 7 cm, 10 cm - This is a valid triangle because 7+7 > 10, 7+10 > 7, and 10+7 > 7.

Therefore,

All of the sets of measurements could be the side lengths of a triangle.

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Answer:

66MPH

Step-by-step explanation:

First you would add up all three amounts of miles, so 177+188+163 to get 528. Then you would divide 528 by 8 to get the average MPH, which would be 66MPH.

The Y-intercept, or b is -3 because it is where the line touches the Y-axis. The slope, or m is 1/2 because from -3, the line goes up one, and right two. Therefore, the equation is y=1/2-3.

Answer:

not possible, no products of 160 and to the sum of 12

Step-by-step explanation:

160, 1

80, 2

40, 4

32, 5

20, 8

16, 10

To rank the cereals in order from least likely to be chosen to most likely to be chosen, we need to compare their probabilities. Here are the cereals ranked in order:

Bran O's (0.04): This cereal has the lowest probability of being chosen among the options provided.

Rice O's (8.9% or 0.089): This cereal has a higher probability than Bran O's but is lower than the remaining options.

Wheat O's (5/16 or 0.3125): This cereal has a higher probability than Rice O's but is lower than the remaining options.

Chocolate O's (3/10 or 0.3): This cereal has a higher probability than Wheat O's but lower than the last remaining option.

Corn O's (0.113): Among the given options, Corn O's has the highest probability and is the most likely to be chosen.

So, the cereals ranked from least likely to be chosen to most likely to be chosen are: Bran O's, Rice O's, Wheat O's, Chocolate O's, and Corn O's.

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Problem N 9

we have that

UW=UV+VW -----> by addition segment postulate

substitute given values

(2x-8)=(x-8)+(12)

solve for x

2x-8=x+4

2x-x=4+8

therefore

The answer is

The total cost of an item that has a pre-tax price of $72 can be found as follows:

Step 1The percentage of tax on the item is 6% therefore, the decimal form of the percentage is 0.06

.Step 2The pre-tax price of the item is $72.0 therefore, we can represent it by the variable 'c'.Therefore, c = $72.0

Step 3The expression that can be used to find the total cost of an item, including tax, is given as follows:c + 0.06c

Step 4Substitute the value of 'c' in the expression c + 0.06c

= $72.0 + 0.06 × $72.0c + 0.06c

= $72.0 + $4.32c + 0.06c

= $76.32

Therefore, the total cost of an item that has a pre-tax price of $72.0 is $76.32.

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Angles 6 and 8 are adjacent, they are Linear pair οf angles.

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

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Answer:

\(factor \: of \: 6 \\ is \: 6 \\ \\ then \: having \: the \: sum \: 6 + 7 = 13 \: \\ \\ \\ \\ \\ \\ hence \: 13is \: answer\)

Answer:

I believe your answer is 6 and 1 because 6x1=66+1=7

Step-by-step explanation:

May I pls have a brainley

Answer:

the greatest number I guess is 2

Step-by-step explanation:

18÷2= 9male to the 2group

24÷2=12female to the 2group