Que ingrediente le falta completar y cuánto para preparar los alfajores?

Answer:

The second one

Step-by-step explanation:

Line segment BC will be an image of side AD using only a translation.

Option 2 is true.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

A figure ABCD is a square.

Now,

Since, ABCD is a square.

So, All sides of square ABCD are equal to each other.

Since, A translation occurs when a figure is moved from one location to another location without changing its size or shape.

Thus, Line segment BC will be an image of side AD using only a translation.

Therefore, Line segment BC will be an image of side AD using only a translation.

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Answer:

About 10.4 cm

Step-by-step explanation:

By the Law Of Sines:

\(\dfrac{6}{\sin 30}=\dfrac{b}{\sin 120} \\\\\\b=\dfrac{6}{\sin 30}\cdot \sin 120\approx 10.4\text{ cm}\)

Hope this helps!

The value of b for the triangle will be equal to 10.5.

According to the law of sine, or sine law, the ratio of a triangle's side length to the sine of the opposing angle remains constant for all three sides.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

The value of 'b' will be calculated as,

6 / sin 30 = b / sin 120

b = ( 6 / sin 30 ) x sin 120

b = 10.5

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The monthly cost will be $64.48 if 414 minutes of calls are made this month.

The monthly cost C can be expressed in terms of minutes of call time as follows:

C = 0.12m + 14.8

where m is the number of minutes of call time made in a month.

If 414 minutes of calls are made this month, then the monthly cost will be:

C = 0.12(414) + 14.8

C = 49.68 + 14.8

C = $64.48

Therefore, we can conclude that the monthly cost will be $64.48 if 414 minutes of calls are made this month.

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Answer:

9203 cm³

Step-by-step explanation:

A globe of the moon has a radius of 13 centimeters. Find the volume of the globe. Round your answer to the nearest whole number.

The shape of the moon is spherical

Hence:

The volume of a sphere

= 4/3 × π × r³

r = radius = 13 cm

= 4/3 × π × 13³

= 9202.77 cm³

Approximately to the nearest whole number = 9203 cm³

Therefore, the volume of the globe is 9203 cm³

Answer:

range

Step-by-step explanation:

the x values or inputs are called the domain

the y values or outputs are called the range

Answer:

ES IGUAL A 15

Step-by-step explanation:

Answer:

Te conozco y sé qué

Como Nuevo de fabrica el otro

The missing sides of right triangles are, respectively:

Case 1: x = 18.910

Case 2: x = 23.584

Case 3: x = 15.890

Case 4: x = 16.659

Case 5: x = 24.111

And the angles of the right triangles are, respectively:

Case 6: 32°

Case 7: 31°

Case 8: 71°

Case 9: 71°

Case 10: 32°

The exact values of trigonometric functions:

Case 11: cos A = 12 / 13

Case 12: tan C = 3 / 4

Case 13: tan A = 3 / 4

And the trigonometric ratios of right triangles are:

Case 14: tan X = 1.3333

Case 15: sin A = 0.6000

Case 16: cos C = 0.3243

In this question we find 16 cases of right triangles that must be analyzed by trigonometric functions. Trigonometric functions is an important tool to determine missing sides and angles and relationships with sides. Most important trigonometric functions are described below:

sin θ = y / r

cos θ = x / r

tan θ = y / x

Where:

Please notice that hypotenuse is the longest side of a right triangle.

The first five cases implies the determination of missing lengths in five right triangles:

Case 1

x = 20 · cos 19°

x = 18.910

Case 2

x = 20 / cos 32°

x = 23.584

Case 3

x = 10 / cos 51°

x = 15.890

Case 4

x = 15 / tan 42°

x = 16.659

Case 5

x = 19 / sin 52°

x = 24.111

The following five cases implies the determination of angles by means of direct and inverse trigonometric functions:

Case 6

tan θ = 16 / 26

tan θ = 8 / 13

θ = 31.608° (32°)

Case 7

tan θ = 6 / 10

θ = 30.964° (31°)

Case 8

tan θ = 76 / 26

θ = 71.114° (71°)

Case 9

tan θ = 67 / 23

θ = 71.053° (71°)

Case 10

tan θ = 26 / 42

θ = 31.759° (32°)

The next three cases implies the computation of the exact values of trigonometric functions:

Case 11

cos A = 24 / 26

cos A = 12 / 13

Case 12

tan C = 24 / 32

tan C = 3 / 4

Case 13

tan A = 27 / 36

tan A = 3 / 4

And the last three triangles implies the values of trigonometric ratios:

Case 14

tan X = 36 / 27

tan X = 4 / 3 (1.3333)

Case 15

sin A = 30 / 50

sin A = 3 / 5 (0.6000)

Case 16

cos C = 12 / 37 (0.3243)

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The lengths of the sides, measures of the angles and the values of the trigonometric ratios are as follows;

1) x ≈ 18.9

2) x ≈ 23.1

3) x ≈ 15.9

4) x ≈ 16.7

5) x ≈ 23.1

6) x ≈ 32°

7) x ≈ 31°

8) x ≈ 71°

9) x ≈ 71°

10) x ≈ 32°

11) cos(A) ≈ 0.9

Trigonometric ratios are expressions that specify the relationships between two sides of a right triangle and an interior angle of the triangle.

1) The opposite side = 20 × sin(19°) ≈ 6.5

The adjacent side = 20 × cos(19°) ≈ 18.91

2) cos(30°) = 20/x

cos(30°) = (√3)/2, therefore;

(√3)/2 = 20/x

x = 20/((√3)/2) = 40·√3/3 ≈ 23.1

x ≈ 23.1

3) cos(51°) = 10/x

Therefore;

x = 10/(cos(51°)) ≈ 15.9

4) tan(42°) = 15/x

Therefore;

x = 15/(tan(42°)) ≈ 16.7

x ≈ 16.7

5) sin(52°) = 19/x

Therefore;

x = 19/(tan(52°))

x = 20/(cos(30°)) ≈ 23.1

x ≈ 23.1

6) tan(x) = 16/26

tan(x) = 16/26 = 8/13

x = arctan(8/13) ≈ 32°

7) tan(x) = 6/10

tan(x) = 6/10 = 3/5

x = arctan(3/5) ≈ 31°

8) tan(x) = 76/26

tan(x) = 76/26 = 38/13

x = arctan(38/13) ≈ 71°

9) tan(x) = 67/23

x = arctan(67/23) ≈ 71°

x ≈ 71°

10) tan(x) = 26/42

tan(x) = 26/42 = 13/21

tan(x) = 13/21

x = arctan(13/21) ≈ 32°

11) The trigonometric ratios for cosine indicates that we get;

cos(A) = 24/26 ≈ 0.9

12) Trigonometric ratio for tangent indicates that we get;

tan(C) = 24/32 = 0.75

13) tan(A) = 27/36

27/36 = 3/4

Therefore; tan(A) = 3/4 = 0.75

14) tan(x) = 36/27 = 4/3

tan(x) = 4/3 = 1 1/3

15) sin(A) = 30/50 = 3/5

sin(A) = 3/5 = 0.6

16) cos(C) = 12/37 ≈ 0.32

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Answer:

the correct classification and decimal expansion of StartFraction 5 Over 8 EndFraction

=5/8=0.625[irrational number]

Answer:

The correct answer is (b) i believe

Step-by-step explanation:

   Have a great day!

The critical value (t₍₃₀,₀.₀₅₎) for a 95% confidence interval, based on a random sample of 30 observations, is t₍₃₀,₀.₀₅₎ = 2.042.

To determine the critical value, we refer to the t-table with degrees of freedom (df) equal to n - 1, where n represents the sample size. In this case, the sample size is 30, so the degrees of freedom is 30 - 1 = 29.

For a 95% confidence interval, we need to consider the two-tailed critical region. Since the area in each tail is 0.025 (0.05/2), we look for the corresponding value in the t-table at a significance level of α/2 = 0.025 for df = 29.

The closest value to 0.025 in the table is 2.042.

Therefore, the critical value (t₍₃₀,₀.₀₅₎) for a 95% confidence interval based on a random sample of 30 observations is t₍₃₀,₀.₀₅₎ = 2.042.

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Part A

\(C=175(13)+3500=\boxed{\$5775}\)

Part B

\(7875=175n+3500 \\ \\ 4375=175n \\ \\ n=\boxed{25}\)

Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Answer:

Rounded to the nearest dollar, Bob saved $677 by buying the carpet on Wednesday.

Step-by-step explanation:

Since on Tuesday, Bob brought home an oriental carpet on approval and the price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars and, on Tuesday, one dollar was worth 4.5 Turkish Lira but on Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira, with which Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate, to determine to the nearest dollar, how much did he save due to the devaluation the following calculation must be performed:

(9,900 / 4.5) - (9,900 / 6.5) = X

2,200 - 1,523.07 = X

676.92 = X

So, rounded to the nearest dollar, Bob saved $ 677 by buying the carpet on Wednesday.

The solution to the algebraic equation is x = 1.8

An algebraic equation or expression is any equation that contains unknown values, usually represented with alphabets or letter

Given:  2/3 = 1.2/x

2/3 = 1.2/x        cross multiply

2 × x = 3 × 1.2

2x = 3.6

x = 3.6/2 = 1.8

Therefore, the solution to the problem is x = 1.8, so the correction option is  B.

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Increasing the standard deviation from 21.4 to 42.8 would double the width of the confidence interval.

The width of a confidence interval is affected by several factors, including the sample size, the level of confidence, and the standard deviation. In this scenario, if the standard deviation of the tests had been 42.8 points instead of 21.4 points, it would have doubled.

When the standard deviation of a sample increases, it indicates that the data points are more spread out and there is more variability within the sample. This increased variability results in a wider confidence interval.

In other words, a larger standard deviation would lead to a wider range of possible values in the confidence interval, indicating less precision and a lower level of confidence in the estimated population parameter. Therefore, increasing the standard deviation from 21.4 to 42.8 would increase the width of the confidence interval by a factor of 2.

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He have to pay $3.25.

Let the number of miles traveled by a driver be x

The toll paid by the driver is then represented as y. (in dollar)

Linear equation : an equation in which there is only one variable present. It is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution.

Since there is a linear relation between the two, we can assume the equation can be written as:

y = mx + c

From the given data, we get

0.24 = m(0) + c

c = 0.25

Using the second point:

1 = m(1) + 0.25

m = 1 − 0.25 = 0.75

Hence, the equation is y = 0.75x + 0.25.

If  x = 4, then:

y = 0.75 × 4 + 0.25

y = 5.50

Hence, He have to pay $3.25.

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You have the square QRST, furthermore, you have that sides QS and QU are given by the following algebraic expressions:

QS = 16t - 14

QU = 6t + 11

Due to QRST is a square, the length of all sides are equal.

You can notice by the symmetry of the figure that QS = 2QU

Equal the expressions for QS and 2QU and solvde for t:

16t - 14 = 2(6t + 11) apply distribution property

16t - 14 = 12t + 22 add 14 both sides

16t = 12t + 22 + 14 subtract 12t both sides

16t - 12t = 22 + 14 simplfy like terms

4t = 36 divide by 4 both sides

t = 36/4 simplify the fraction

t = 9

Hence, the value of t is t = 9

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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The casino would reject/accept the null hypothesis (H0) and accordingly, conclude that the slot machine does or does not deliver the claimed win rate of 5 in 100.

To determine if their slot machine delivers the claimed 5 in 100 win rate, the casino would need to conduct a hypothesis test using the given terms.
The "win rate" refers to the proportion of wins a slot machine is expected to provide out of a certain number of plays. In this case, the slot machine claims to have a win rate of 5 in 100, which is equivalent to a proportion of 0.05.
To test if the slot machine actually delivers this win rate, we will conduct a hypothesis test with the following null (H0) and alternative (HA) hypotheses:
H0: The slot machine's win rate is equal to 0.05
HA: The slot machine's win rate is not equal to 0.05
To perform this test, the casino would need to collect a sample of slot machine plays and calculate the observed win rate. Using an appropriate statistical test, such as a z-test or t-test for proportions, the casino can compare the observed win rate to the claimed win rate of 0.05. If the test result shows that there is a significant difference between the observed and claimed win rates, the casino would reject the null hypothesis (H0) and conclude that the slot machine does not deliver the claimed win rate of 5 in 100.

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The answer is e. none of the above/can’t be determined with info given.

Based on the information given, we have:

P(A) = 0.46

P(B) = 0.17

P(A U B) = 0.63

Note that P(A U B) represents the probability of either event A or event B occurring, or both.

If events A and B are mutually exclusive, it means they cannot occur at the same time. In other words, if event A occurs, event B cannot occur, and vice versa. In this case, the probability of both events occurring would be zero.

On the other hand, if events A and B are collectively exhaustive, it means that together they account for all possible outcomes. In other words, either event A or event B (or both) must occur, and there are no other possibilities.

Using these definitions, we can see that events A and B are neither mutually exclusive nor collectively exhaustive. This is because the probability of both events occurring (i.e., the intersection of A and B) is not zero, which means they are not mutually exclusive. Additionally, the probability of either A or B occurring (i.e., the union of A and B) is not equal to one, which means they are not collectively exhaustive.

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Answer:

-4x + 12

Step-by-step explanation:

2(x+6)-6x

2x + 12 - 6x

combine llike terms

2x - 6x = -4x

-4x + 12

Answer:

2(x+6)-6x=-4x+12

Step-by-step explanation:

So how I got that was I expanded 2(x+6): 2x+12 so I got 2x+12-6x

I simplified 2x+12-6x and I got -4x+12

Answer:

multiply length time width  

Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

Answer:

50 degrees

Step-by-step explanation:

just makes sense

The gradient of p(x, y) at the point (2, 1) is (∂p/∂x, ∂p/∂y) = (-8 / (2 * sqrt(3)), -3 / (2 * sqrt(3))).

To compute the gradient of the function p(x, y) = sqrt(22 - 4x^2 - 3y^2), we need to find the partial derivatives with respect to x and y.

Let's start by finding the partial derivative with respect to x, denoted as ∂p/∂x:

∂p/∂x = (-4x) / (2 * sqrt(22 - 4x^2 - 3y^2))

Next, let's find the partial derivative with respect to y, denoted as ∂p/∂y:

∂p/∂y = (-3y) / (2 * sqrt(22 - 4x^2 - 3y^2))

Now that we have the partial derivatives, we can evaluate the gradient at the point (2, 1). To do this, we substitute x = 2 and y = 1 into the partial derivatives:

∂p/∂x = (-4 * 2) / (2 * sqrt(22 - 4(2)^2 - 3(1)^2))

      = -8 / (2 * sqrt(22 - 16 - 3))

      = -8 / (2 * sqrt(3))

∂p/∂y = (-3 * 1) / (2 * sqrt(22 - 4(2)^2 - 3(1)^2))

      = -3 / (2 * sqrt(22 - 16 - 3))

      = -3 / (2 * sqrt(3))

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The correctanswer is-the percentage of the pieces that will meet the length specs is 98.78%.

The given data may be a random variable that takes after the normal distribution with mean μ=64 and standard deviation σ=0.1

The required value is to discover the rate of the pieces that will meet the length specs which is between 63.76 and 64.24 inches.

To find the required percentage, standardize the given limits as follows: Lower Limit: (63.76 - μ) / σ= (63.76 - 64) / 0.1 = -2.4

Upper Limit: (64.24 - μ) / σ= (64.24 - 64) / 0.1 = 2.4

Using the Standard Normal Distribution Table, the probability that the value will fall between -2.4 and 2.4 is found to be 0.9878.

The required percentage is then found by multiplying the probability by 100, which is: Percentage = 0.9878 x 100% = 98.78%

Therefore, the percentage of the pieces that will meet the length specs is 98.78%.

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The probability that less than half of the sample will say that they support the increase is given as follows:

0.0885 = 8.85%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

n = 500, p = 0.53.

Hence the mean and the standard error are given as follows:

Hence the probability of less than half is the p-value of Z when X = 0.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

Z = (0.5 - 0.53)/0.0223

Z = -1.35

Z = -1.35 has a p-value of 0.0885.

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You have the following equation:

-8(y -7) = 2y + 6

In order to solve for y, proceed as follow:

-8(y -7) = 2y + 6 expand the factor right side

-8y + 56 = 2y + 6 subtract 2y and subtract 56 both sides

-8y - 2y = 6 - 56 simplify

-10y = -50 divide by -10 both sides

y = -50/(-10)

y = 5

Hence, the value of y is 5