Find y so that (1/4) ^-3 × (4)^8 = (1/4)^ -4y​.. help me please. I will mark brainliest

Answer:

D

Step-by-step explanation:

Answer:

The answer is X>6

if you click the image it will show the steps to solving the inequality. hope this helps.

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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The graph of the logarithmic function represented by the table would be a curve that passes through the given points. The domain of the function is all positive values of x, and the range is all real numbers.

The graph of the logarithmic function will be a curve passing through the points given in the table. The domain of the function is all positive values of x, and the range is all real numbers.

The table represents a logarithmic function f(x). The x-values in the table are the inputs to the function, and the y-values are the outputs.

Looking at the table, we can see that as x increases, y also increases, indicating that the function is increasing.

To graph the function, we plot the given points and connect them with a smooth curve. The curve will approach the y-axis but will never touch it, as the logarithm of 0 is undefined. The graph extends infinitely in the positive x-direction.

The domain of the function is all positive values of x since the logarithm is only defined for positive inputs. In inequality notation, we can express the domain as x > 0. In interval notation, the domain is (0, ∞).

The range of the function is all real numbers. As x approaches infinity, y also approaches infinity. As x approaches 0, y approaches negative infinity. Therefore, the range is (-∞, ∞) in interval notation. In set-builder notation, we can express the range as {y | y ∈ ℝ}.

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Answer:

50,58

Step-by-step explanation:

m = 90-40

   = 50

n = 90-32

  = 58

using the euclidean model,  the sum of distances between qrs and its four vendors is g.14

What do you mean by the euclidean model?

A mathematical system known as Euclidean geometry is credited to the ancient Greek mathematician Euclid. It is detailed in his geometry textbook, the Elements. In Euclid's method, many more propositions (theorems) are derived from a small collection of axioms (postulates) that are intuitively attractive.

The distance of (0,0) is 0 ,similarly, distance from (2,0) is 2; (1,2) is 1 and (0,5) is 5 and (6,0) is 6.

the sum of all distances are (0+2+1+5+6) is 14.

Hence according to the euclidean model , the sum of all distances is 14.

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Answer:

Step-by-step explanation: i Show you every step in the picture i just sent

Answer:

Step-by-step explanation: I don't know how to work on this

Answer: Your answer is (B).

To determine which graph shows the solution to the inequality x - 2y ≥ 9, you would need to look for a graph that shows a shaded region representing all the points (x,y) that satisfy the inequality. The boundary line for this inequality would be x - 2y = 9, which can be rewritten in slope-intercept form as y = (1/2)x - 9/2. This line would have a slope of 1/2 and a y-intercept of -9/2. Since the inequality is greater than or equal to, the shaded region would be above the line and include the line itself.

Answer:

-4/3x+4

Step-by-step explanation:

Answer:

10.82 or \( \sqrt{117} \)

Step-by-step explanation:

pythagorean theorem is x^2+y^2=r^2

9^2+6^2=r^2

117=r^2

r= \( \sqrt{117} \)

Answer:

10.81665383 about 10.8 units

Step-by-step explanation:

how to find the hypotenuse is a^2 + b^2 = c^2

a = 9

b = 6

9^2 + 6^2

9 x 9 = 81

6 x 6 = 36

81 + 36 = 117

177 = c^2

find the square root of 177 = 10.81665383 about 10.8

Answer:

NK

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

add -4x and -6x and the answer is -10x bc they are both negative x. then divide both -10x and -20 by -10 so that it is x by itself on one side and 2 on the other so its 2=x :)

(a) The probability of a team scoring seven goals in a match, assuming a Poisson distribution with mean 1.336, is approximately 0.072.

(b) The p-value, representing the probability of a team scoring seven or more goals, is approximately 0.138.

(c) According to the criterion of a p-value less than 0.05, we would not reject the proposal that the number of 2014 World Cup goals follows a Poisson distribution.

(d) The observed distribution suggests that a Poisson distribution is applicable for modeling the number of goals in the 2014 World Cup.

(a) To find the probability that a team scores seven goals in a match,

Use the Poisson distribution formula,

P(X = k) = \((e^{(-\lambda) \times \lambda^k)\) / k!,

where,

P(X = k) is the probability of scoring exactly k goals,

e is the base of the natural logarithm (approximately 2.71828),

λ is the mean number of goals per game per team.

Here, λ = 1.336 and k = 7.

P(X = 7) = (\(e^{(-1.336)\) × 1.336⁷) / 7!.

Calculating this value,

P(X = 7) ≈ 0.072.

The probability that a team scores seven goals in a match, according to the hypothesis, is approximately 0.072.

(b) The p-value in this case is the probability of a team scoring seven or more goals in a match.

Sum the probabilities of scoring seven, eight, nine, and so on, up to infinity (which is practically a very large number).

P(X ≥ 7) = P(X = 7) + P(X = 8) + P(X = 9) + ...

Since calculating an infinite sum is not feasible,

Approximate it by calculating the complementary probability of scoring less than seven goals and subtracting it from 1.

P(X ≥ 7) = 1 - P(X < 7).

To calculate P(X < 7),  sum the probabilities of scoring zero, one, two, three, four, five, and six goals.

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

Calculating this value,

P(X < 7) ≈ 0.862.

The p-value, which is the probability of a team scoring seven or more goals in a match, is approximately 0.138 (1 - 0.862).

(c) According to the criterion of rejecting a hypothesis when the p-value is less than 0.05, we compare the p-value obtained (0.138) with 0.05.

Since 0.138 > 0.05,

Not reject the proposal that the number of 2014 World Cup goals is a Poisson-distributed random variable with a mean of 1.336.

(d) The observed probability distribution for the number of goals in the 2014 World Cup, quite similar to the Poisson distribution with a mean of 1.336.

This suggests that a Poisson distribution is applicable for modeling the number of goals scored per team per game.

However, further statistical analysis and hypothesis testing should be conducted

to confirm the validity of this assumption and explore other possible distributions.

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The above question is incomplete, the complete question is:

The 2014 FIFA World Cup It has been suggested that the number of goals in World Cup games is given by a Poisson distribution. A total of 171 goals were scored at the 2014 World Cup in a total of 64 games, implying a mean number of goals per game per team of 1.336 Fig. 4.8 shows the observed probability distribution for the number of goals scored per team per game in the 2014 World Cup in blue, determined on the basis of goals per game per team actually scored, in comparison to a Poisson distribution in red corresponding to the actual mean number of goals per team per game (λ = 1.336) in the 2014 World Cup. Evidently, the observed distribution is quite similar to the Poisson distribution, which leads to the hypothesis that the number of goals that a team scored per game is a Poisson-distributed random variable with, in this case, λ 1.336 (a) But what about Germany's 7 goals in their semi-final game against Brazil? According to the hypothesis that the number of goals that a team scores per game is a Poisson-distributed random variable with mean λ = 1.336, what is the probability that a team scores seven goals in a match? (b) The p-value is the probability of achieving a result as extreme or more extreme than the result actually achieved. Therefore in this case the p-value is the probability of a team scoring seven or more goals in a match. What is the numerical value of the p-value in this case according to our hypothesis? (c) One criterion for rejecting a hypothesis is that the p-value is less that 0.05. According to this criterion, should we reject the proposal that the number of 2014 World Cup goals is a Poisson-distributed random variable with mean 1.336? (d) Would you expect a Poisson distribution to be applicable?

The dimensions of the rectangle has a width = 12cm and length = 5cm.

In calculating the area of a rectangle, we multiply its length and width.

Let us use the letter x to represent the width, so that the length = x - 7

hence we calculate for the unknown x as follows;

x(x - 7) = 60

expand and equate to zero to derive a quadratic equation

x² + 7x - 60 = 0

by factorisation;

x² - 12x + 5x - 60 = 0

x(x - 12) +5(x -12) = 0

(x + 5)(x - 12) = 0

thus for x + 5 = 0

x = -5

and for x - 12 = 0

x = 12

Therefore, x = 12 is true for the quadratic equation and also for the width = 12 and length = 5cm for the rectangle.

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19)

The given system of equations is,

The above system of equations can be written in matrix form as,

Here,

Therefore, equation (1) can be written as,

Therefore,

Now, we need to calculate the inverse of A.

(Note:

Let a 2x2 matrix P is of the form given below.

The inverse of the matrix P is,

)

Similar to the inverse matrix of 2x2 matrix P, the inverse matrix of A can be written as,

Now, put the values in equation (2) to find the solution to the system of equations.

Therefore, the solution to the system of equations using inverse matrix is x=2 and y=-1.

Answer:

A

Step-by-step explanation:

\(f(x) = 20 {e}^{x} \)

The function that could have the graph shown is:

f(x) = 20\(e^x\)

Option A is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The function:

f(x) = 20\(e^x\)

If we graph this function we get a similar graph that is shown.

The coordinates of f(x) = 20 \(e^x\) are:

To find the coordinates, we need to plug in different values of x into the function and calculate the corresponding y-values.

For example, when x = 0, we have:

f(0) = 20e^0 = 20(1) = 20

So one coordinate on the graph is (0, 20).

Similarly, when x = 1, we have:

f(1) = 20e^1 = 20e = 20(2.71828) ≈ 54.6

So another coordinate on the graph is (1, 54.6).

We can find more coordinates by plugging in other values of x and calculating the corresponding y-values.

Now,

As x increases, the function f(x) grows exponentially, meaning the y-values will increase very rapidly.

Thus,

The function f(x) = 20\(e^x\) could have the graph shown.

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Answer:

The measure of the fourth angle is 90°.

Step-by-step explanation:

Let x be the measure of the fourth angle.

Given measures of the other angles : 50°,120° & 100°.

Knowledge Required :

The sum of all the interior angles of a quadrilateral is 360°.

Then,

50°+120°+100°+x=360°

⇒x = 360°-270°

⇒x = 90°

.°. x = 90°

Hence, the measure of the fourth angle is 90°.

Answer:

7x and 2x. 3x^2 and -7x^2.

Step-by-step explanation:

7x and 2x both have x. 3x^2 and -7x^2 both have x^2.

To construct the regular hexagon accurately, the width of the compass needs to be set to equal half the radius of the circle.

The correct statement that should be added to make the step correct is:

"The width of the compass needs to be set to equal half the radius of the circle."

When constructing a regular hexagon inscribed in a circle, it is important to ensure that the vertices of the hexagon lie on the circumference of the circle. By setting the width of the compass to equal half the radius of the circle, we can accurately create the next vertex of the hexagon.

The radius of a circle is the distance from the center of the circle to any point on its circumference. Since we want to inscribe a hexagon in the circle, each vertex of the hexagon should be on the circle's circumference. By setting the compass width to half the radius, we can ensure that the distance between the initial point A and the next vertex will be equal to the radius of the circle.

Using the compass, we place one end at point A and draw an arc that intersects the circle at the next vertex. This arc will have a radius equal to half the radius of the circle since we set the compass width accordingly. By repeating this process for the remaining vertices, we can construct a regular hexagon inscribed in the circle.

Therefore, to construct the regular hexagon accurately, the width of the compass needs to be set to equal half the radius of the circle.

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Answer:

He can cut 20 1/2m peice of rope from the 10m rope

Step-by-step explanation:

divide

10 / .5 = 20

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Yes , (x+4) is a factor of f(x)=5x⁴ +16x³ -15x² +8x+16 because , the conditions of the factor theorem are satisfied .

In order to determine whether (x+4) is a factor of the polynomial f(x) = 5x⁴ + 16x³ - 15x² + 8x + 16, we use the factor theorem, which states that if a polynomial f(x) has a factor (x - r), then f(r) = 0.

In this case, we use r = -4,

Since , (x+4) is of the form (x-r) with r = -4.

So, if (x+4) is a factor of f(x), then f(-4) should be equal to 0.

Evaluating f(-4),

We get ,

⇒ f(-4) = 5(-4)⁴ + 16(-4)³ - 15(-4)² + 8(-4) + 16

⇒ 5(256) - 16(64) - 15(16) - 32 + 16

⇒ 1280 - 1024 - 240 - 16

⇒ 0

Since, f(-4) is equal to 0, we can conclude that (x+4) is a factor of f(x).

Therefore, (x+4) is a factor of the polynomial f(x) = 5x⁴ + 16x³ - 15x² + 8x + 16.

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The given question is incomplete , the complete question is

Is (x+4) a factor of f(x)=5x⁴ +16x³ -15x² +8x+16?

Answer:

988

Step-by-step explanation:

.no lo sé, pero como necesito puntos, ¿sí?

The level of confidence for the given confidence interval is 95% and z-score is 1.96.The calculation involves using the formula for the confidence interval and the given sample proportion and size.

We can use the formula for the confidence interval for a population proportion:

p-hat ± z*(sqrt(p-hat*(1-p-hat)/n))

Where p-hat is the sample proportion, z is the z-score for the desired level of confidence, and n is the sample size.

We're given that p-hat = 0.3 and n = 50. We're also given that the confidence interval is (.1323, .4677), which means that:

p-hat ± z*(sqrt(p-hat*(1-p-hat)/n)) = (.1323, .4677)

We can use the midpoint of the confidence interval as the point estimate for p-hat, which is (0.1323 + 0.4677) / 2 = 0.3.

Substituting the values we have into the equation, we get:

0.3 ± z*(sqrt(0.3*(1-0.3)/50)) = (.1323, .4677)

Simplifying the equation, we get:

z = 1.96

Therefore, the level of confidence for this interval is 95%, since the z-score for a 95% confidence level is 1.96.

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Answer:

from top to bottom:

x = y(v-w)

x = (yv/w)/2

x = (6+w)/v

x = (y-2w)/v

Step-by-step explanation: