Given: triangle ABC,
Angle B=120°,
AB= 6, BC = 10
Find: The area of triangle ABC

Answer:

30:48

Step-by-step explanation:

because there are 30 oranges and 48 plums. I got this by putting oranges in front of plums to get the ratio of 30:48

Answer:

1.445 × 10³ hope it helped goodluck!

Answer: 2=x

Step-by-step explanation: Multiply both sides by three then divide both sides by three.

3x=6

x=2

Answer:

x = 2

Step-by-step explanation:

3x/3 = 6/3

cross-multiply:

9x = 18

divide both sides by nine:

x = 2

Answer:

No they are not equivalent.

Step-by-step explanation:

2(x - 2) + 3

First distribute the 2. It goes to both the x and also to the - 2

= 2x - 4 + 3

Add - 4 + 3

= 2x - 1

This is not equal to 2x - 7

The concentration of copper ions in the solution is 0.0999 mol/L.

First, we need to write out the balanced chemical equation for the dissolution of copper (I) chloride:

CuCl(s) ⇌ Cu+(aq) + Cl-(aq)

The solubility equilibrium constant expression is:

Ksp = [ Cu+ ][ Cl- ]

We are given that Ksp = 1.7 × 10 -7, and that the concentration of Cl- is 0.2 mol/L greater than the concentration of Cu+.

Let's assume that the concentration of Cu+ is x mol/L.

Then, the concentration of Cl- is (x + 0.2) mol/L.

Substituting these values into the Ksp expression, we get:

1.7 × 10 -7 = x(x + 0.2)

Simplifying this equation, we get:

\(x^2 + 0.2x - 1.7 \times 10 -7 = 0\)

Using the quadratic formula, we can solve for x:

x = \((-0.2 + \sqrt{ (0.2^2 + 4 \times 1.7 \times 10 -7))/2}\)

x = (-0.2 ± 0.00208)/2

x = 0.0999 or x = -0.3001

Since the concentration of Cu+ cannot be negative, we take the positive root:

x = 0.0999 mol/L

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Answer:

No

Step-by-step explanation:

It fails the vertical line test

It passes through more than one point vertically

Answer:

95

Step-by-step explanation:

There will be 5 different values and the mean increases by 5 so 5x5=25 and 70+25=95

If Sunayana received an overall grade of 70 in science, social studies, Nepali, and English. The average scores rise by five. There are 95 points in math.

It is described as the single number that embodies the mean value for the specified collection of data or the closed value for each item in the specified set of data.

It is given that, Sunayana scored an average of 70 in her English, Nepali, Science, and Social Studies classes. The average score rises by 5 if the math scores are also taken into account.

There will be 5 distinct numbers, and since the mean rises by 5, 5x5=25 and 70+25=95 are the result.

Thus, if the average mark in English, Nepali, science, and social studies obtained by Sunayana is 70. the average mark is increased by 5. Her marks in mathematics will be 95 marks.

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Before training building inspectors scored 62% on a test of building code violations. After training they scored 81% on the same test. The change in test scores represents a significant criterion.

The question is about the change in the test scores of the building inspectors. Before the training, the inspectors scored 62% and after the training, their score increased to 81%. The change in scores represents a significant criterion. Hence, the correct answer is a significant criterion.

A criterion represents the desired level of performance in a particular area. In this context, the change in test scores of the building inspectors represents the criterion for evaluating the effectiveness of the training program. A significant criterion indicates that the training program was effective in enhancing the knowledge and skills of the building inspectors.

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After a dilation, the angle measures remain constant, meaning that they are not affected by the scale factor of the dilation.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The side lengths are changed, but the original figure and the dilated figure are similar, meaning that the angle measures remain constant, no matter the scale factor.

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Answer:

Option (D)

Step-by-step explanation:

Figure (1) is a rhombus and figure (2) is a rectangle.

Figure (1) will overlap onto itself by the rotation of 180° about the center.

Figure (2) will overlap onto itself by 2 possible ways.

1). Reflection across a line passing through the center of the figure and parallel to one of the sides.

2). Rotation of the figure by 180° about the center.

Therefore, common transformation of both the figures will be,

A rotation of 180° about the center.

Option (D) will be the answer.

We want to see which transformation maps a rhombus into itself and a rectangle into itself.

The correct option D, a rotation of 180° about the center of the figure.

So we have two figures that are parallelograms, but neither are a square. This means that rotations of 90° will not map the figures into the same figures, as for example, for the rectangle, a rotation of 90° changes the length into the width.

But if we apply another rotation of 90°, we have that change again, this means that after two rotations of 90° (or a single rotation of 180°) we map the length into the length and the width into the width (same thing for the rhombus).

Then the transformation that maps the figures into the same figure is a rotation of 180° about the center of the figure, thus the correct option is D.

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Answer:

x=1, y=2

Step-by-step explanation:

2x+y =4

y = 2x

Substitute the second equation into the first

2x+ (2x) = 4

Combine like terms

4x = 4

4x/4 = 4/4

x = 1

Now find y

y = 2x

y = 2(1)

y = 2

Answer:

15 pages

Step-by-step explanation:

let x be the number of pages

7x-21 = 11x-81

4x = 60

x = 15

A monotone transformation of x exists such that the logistic regression model holds for some strictly increasing cdf because of a theorem known as the Invariance Property of the Maximum Likelihood Estimators.

The logistic regression model assumes that the log-odds of an event occurring are a linear function of the predictors. Mathematically, it can be expressed as:

logit(P(Y=1)) = β0 + β1x1 + β2x2 + ... + βpxp

where Y is the binary response variable, x1, x2, ..., xp are the predictor variables, and β0, β1, β2, ..., βp are the parameters to be estimated.

Suppose pi(x) = F(x) for some strictly increasing cdf F. Then, we can define a new variable z as:

z = F(x)

Note that z is also a continuous variable that ranges from 0 to 1, just like the probabilities pi(x). Furthermore, since F is a strictly increasing function, z is also a strictly increasing function of x. Therefore, z can serve as a monotone transformation of x.

Now, let's consider the logistic regression model in terms of the new variable z:

logit(P(Y=1)) = β0 + β1z1 + β2z2 + ... + βpzp

where z1 = F(x1), z2 = F(x2), ..., zp = F(xp)

Note that the predictors in this model are the transformed variables z1, z2, ..., zp. Since z is a monotone transformation of x, the logistic regression model holds for the original variables x as well.

The above approach can be generalized to alternative link functions. For example, if we want to use a different link function g, we can define a new variable z as:

z = g(F(x))

Then, the logistic regression model can be expressed in terms of z as:

g(P(Y=1)) = β0 + β1z1 + β2z2 + ... + βpzp

where z1 = g(F(x1)), z2 = g(F(x2)), ..., zp = g(F(xp))

Again, since z is a monotone transformation of x, this model holds for the original variables x as well.

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Answer:

Rotation

Step-by-step explanation:

If that is an option

Answer:

\(39.8^{\circ} C\)

Step-by-step explanation:

We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation

\(t(h)=10cos(15h-10)^{\circ}+30\)

Where h=Hour of the day with 0 meaning midnight

t=Temperature in degree Celsius

We have to find the temperature on October 1.

Substitute h=0

\(t(0)=10cos(15(0)-10)+30\)

\(t(0)=10cos(-10)+30\)

\(t(0)=39.8^{\circ} C\)

Hence, the temperature in Elma on October 1=\(39.8^{\circ} C\)

Answer:

1.   70

Step-by-step explanation:

2.  105

Answer:

A: 70.311 repeat

B: 105.53

Step-by-step explanation:

im not sure if im correct but hope this helps

The additional information required to prove  that ΔXYZ and ΔFEG are congruent is  ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE. So option 1 and 5 are correct.

Here in the figure it is given that ∠F and ∠X are congruent. To prove the triangle is congruent we have to prove that either two sides including the angles are congruent or another angle and included side is congruent.

When ∠Z ≅ ∠G and XZ ≅ FG, two angles and included sides are congruent, so triangles are congruent.

∠Z ≅ ∠G and ∠Y ≅ ∠E , we can not apply ASA, since three angles are mentioned

XZ ≅ FG  and ZY ≅ GE , Two sides are given, ASA cannot be applied, we need two angles

XY ≅ EF and ZY ≅ FG, is not possible.

∠Z ≅ ∠G and XY ≅ FE, one corresponding side and two angles are equal, so ΔXYZ ≅ ΔFEG according to ASA.

So, the correct answer is option 1 and option 5.

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The complete question is as follows and image is given below

What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.

∠Z ≅ ∠G and XZ ≅ FG

∠Z ≅ ∠G and ∠Y ≅ ∠E

XZ ≅ FG and ZY ≅ GE

XY ≅ EF and ZY ≅ FG

∠Z ≅ ∠G and XY ≅ FE

Answer:

1 and 5 are correct

Step-by-step explanation:

Answer:

-3.8

Step-by-step explanation:

-3.8+7.2=3.4

Answer:

30

Step-by-step explanation:

Answer:

463,185

Step-by-step explanation:

3.75% of 370,000 is 13875

370,000 + 13875 = 383,875

(end of first year)

3.75% of 383,875 is 14395.312, rounding it down to 14395

383,875 + 14,395 = 385,370

(end of second year)

3.75% of 385,370 is 14451.375, rounding it down to 14451

385,370 + 14,451 = 399,821

(end of third year)

3.75% of 399,821 is 14993.287499999999, but I'm rounding it down to 14,933

399,821 + 14,933 = 414,754

(end of fourth year)

3.75% of 414,754 is 15553.275, but I'm rounding it down to 15,553

414,754 + 15,553 = 430,307

(end of fifth year)

3.75% of 430,307 is 16136.512499999999, but I'm rounding it down to 16,136

430,307 + 16,136 = 446,443

(end of sixth year)

3.75% of 446,443 is 16741.6125, but I'm rounding it up to 16,742

446,443 + 16,742 = 463,185

(end of seventh year)

Hopefully, that helped :) I rounded to make the numbers easier to work with, rounding down with numbers below 5, and rounding up with numbers 5 and above.

The conclusion is that there is not enough evidence to reject the null hypothesis that the mean training time with the CAI technique is the same as the traditional method.

The failure to reject the null hypothesis means that the difference in mean training time between the two techniques is not statistically significant at the 0.10 level of significance.

In other words, the researcher cannot conclude that the CAI technique is more effective than the traditional method in reducing training time. It is possible that the CAI technique is not significantly different from the traditional method, or that it may even be less effective.

Further studies may be needed to determine the true effectiveness of the CAI technique in reducing training time for the advanced driving license.

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The temperature at 6 P.M. would be - 29 °F.

Given is that Casho spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -10.4°F. Between 9 am and noon, the temperature rose 9.5°F. Between noon and 3 pm, the temperature went down 10°F. Between 3 pm and 6 pm, the temperature went down 18.6°F.

Temperature at 9 A.M. = - 10.4°F.

At noon, the temperature would be = - 10.4°F + 10°F = - 0.4°F

At 3 P.M., the temperature would be = - 0.4°F - 10°F = - 10.4°F

At 6 P.M., the temperature would be = - 10.4°F - 18.6°F = - 29 °F

Therefore, the temperature at 6 P.M. would be - 29 °F.

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The population was 6.98 million in 1900. The population of New York decreased with respect to time.

What is an exponential function?

An exponential function is a mathematical function with the formula f (x) = axe, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero. The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.

The population of New York state can be modeled by

\(P(t)=\frac{19.71}{1+61.22e^{-0.03513t}}\)

P is the population and t is the number of years since 1800.

The difference between the year 1900 to 1800 is 100.

Putting t = 100 in the given model:

\(P(t)=\frac{19.71}{1+61.22e^{-0.03513\times 100}}\)

\(P(t)=\frac{19.71}{1+61.22e^{-3.513}}\)

P(t) = 19.71/2.8248

P(t) = 6.9774

P(t) = 6.977 (rounded to the nearest thousands)

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Answer: 78

Step-by-step explanation:

The mode is the number that appears the most number of times. In this case the number 78 appears twice unlike the other numbers that only appear once. Hence, 78 is the mode :)

Answer:

78

Step-by-step explanation:

The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Answer:

No you don't have enough. you need 3 1/4 to create 13 severing's of cake.

Step-by-step explanation:

Just take 1/4 and multiply it by 13 . 1/4 x 13= 13/4

13/4=3 1/4

So you need 3 1/4 to create 13 severing's of cake

Arithmetic overflow error converting varchar to data type numeric is an error message that occurs when attempting to convert a string (varchar) data type to a numeric data type in SQL Server, and the resulting numeric value is too large to be stored in the specified data type. This error can occur when performing calculations that exceed the maximum range of the numeric data type, or when the string value contains non-numeric characters.

When attempting to convert a varchar value to a numeric value in SQL Server, the system checks if the string value contains only numeric characters and then attempts to convert it to the specified data type. If the resulting numeric value is larger than the maximum value that can be stored in the data type, an arithmetic overflow error occurs.

For example, if you have a varchar column with the value '12345678901234567890' and you try to convert it to a numeric data type with a maximum of 18 digits, an arithmetic overflow error will occur because the resulting value is larger than the maximum value that can be stored in the data type.

To avoid this error, you can either increase the precision and scale of the numeric data type to accommodate larger values or ensure that the string value contains only numeric characters before attempting to convert it. You can also use the TRY_CONVERT function instead of CONVERT function to handle the conversion errors gracefully.

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the solution to the equation by completing the square is: x = (9/2) ± √(-7k - 47/4).

To solve the given equation by completing the square, we need to rewrite the equation in the form of \((x + a)^2 = b\) , where a and b are constants. This can be done by following these steps:

1. Move all the terms to one side of the equation:

\(5x^2 + 7k + 76 - 9x - 4x^2 = 0\)

2. Combine like terms:

\(x^2 - 9x + 7k + 76 = 0\)

3. Rewrite the equation by completing the square for the x terms. To do this, take half of the coefficient of x (-9/2), square it, and add it to both sides of the equation:

\(x^2 - 9x + (-(9/2))^2 + 7k + 76 - (-(9/2))^2 = (-(9/2))^2\)

4. Simplify:

\((x - (9/2))^2 + 7k + 76 - (81/4) = 81/4\)

5. Combine constants:

\((x - (9/2))^2 + 7k + 47/4 = 0\)

6. Solve for x by taking the square root of both sides:

x - (9/2) = ±√(-7k - 47/4)

7. Add (9/2) to both sides:

x = (9/2) ± √(-7k - 47/4)

Therefore, the solution to the equation by completing the square is: x = (9/2) ± √(-7k - 47/4).

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The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

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Answer:

z=68°

Step-by-step explanation:

z is congruent to the given angle

hopefully this helps :)

Answer:

z = 56°

Step-by-step explanation:

Since the 2 sides are congruent then the triangle is isosceles, thus

The base angles are congruent, then

z = \(\frac{180-68}{2}\) = \(\frac{112}{2}\) = 56°