Which triangle is conguent to ABC

Answer:

C:  (-8, 2)

Step-by-step explanation:

Given parabola:

\(y=-\dfrac{1}{8}x^2-2x-4\)

For the quadratic equation in the form y = ax² + bx + c, the x-value of the vertex is -b/2a.  

Therefore, the x-value of the vertex of the given parabola is:

\(\implies x=-\dfrac{b}{2a}=-\dfrac{-2}{2\left(-\frac{1}{8}\right)}=-8\)

To find the y-value of the vertex, input x = -8 into the given equation:

\(\implies y=-\dfrac{1}{8}(-8)^2-2(-8)-4=4\)

Therefore, the vertex (h, k) of the parabola is (-8, 4).

The focus of the parabola is (h, k+p) where:

Therefore:

\(\implies \textsf{Focus}=\left(-8,4+\dfrac{1}{4\left(-\frac{1}{8}\right)}\right)=\left(-8,2)\)

The monthly payment for Jeanne's loan, with a loan amount of $14800, an interest rate of 8.57%, and a term of 42 months, is $491.90. This is calculated using the formula: loan amount x (interest rate / 12) / (1 - (1 + (interest rate / 12))^-term in months).

The monthly payment for Jeanne's loan can be calculated using the following formula: loan amount x (interest rate / 12) / (1 - (1 + (interest rate / 12))^-term in months). In this case, the loan amount is $14800, the interest rate is 8.57%, and the term is 42 months. First, divide the interest rate by 12 to get the monthly rate. Then, subtract 1 from 1 plus the monthly rate. Finally, raise this result to the negative power of the term in months. Multiply this result by the loan amount and the monthly rate, and you will get the monthly payment: $491.90. Therefore, Jeanne's monthly payment for this loan is $491.90.

14800 x (0.0857 / 12) / (1 - (1 + (0.0857 / 12))^-42) = $491.90

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Meta-analysis is a set of qualitative statistical techniques used to combine the results of multiple, independent research events to arrive at a summary statement about the data.

It is used to identify patterns across studies and to synthesize the results from different studies into a coherent and comprehensive interpretation of the research results. Meta-analysis is commonly used in medical research to identify treatments that are most effective, as well as in social sciences to determine the impact of a policy or program on a population.

Meta-analysis is also used to compare different theories and studies, to evaluate the strength of studies, and to identify any gaps in the existing research. By combining data from multiple studies, meta-analysis can provide a more robust and accurate summary of the effects of a particular intervention or program.

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Answer:

A. (x,y) - (2x,2y)

Step-by-step explanation:

Answer:

It's important such that there is more liable information when they conducted a research outside research because they don't know more about the company, Yes , i may trust the research conducted by the employees if only i can observation their research and know there is no such mistakes because they are employees in the company.

It is important that the research is made by an outside group in order to avoid bias.

It should be noted that a research simply means an investigation to get more information about a particular topic.

In this case, it is important that the research is made by an outside group in order to avoid bias. This will bring about reliability of the information.

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Answer:

Any whole number that can divide exactly into another number, with nothing left over is a Factor. For example, the number six can be divided by two, exactly three times or in other words, two times three equals six. So the numbers two and three, are factors of six.

Step-by-step explanation: hope this answer your question

Answer:

x=3

Step-by-step explanation:

-3x-5y=6

-5 times -3 = 15

-3x+15=6

+3x on both sides

15=6+3x

-6 on both sides

9=3x

divide by 3 on both sides

x=3

Answer:

B. -90

Step-by-step explanation:

a1=9; d=-3

a34=9-3(33-1)=-90

Step-by-step explanation:

Let me know if it's helpful

if it's helpful please mark brainlest

Answer:

x=c/a+b

Step-by-step explanation:

Factor out x

divide both sides by a+b

The magnitude of the resultant vector A+B is 50 units.

To find the magnitude of the resultant vector A+B, we can use the Pythagorean theorem since vector A and vector B are perpendicular to each other. Here's a step-by-step explanation:
1. Recall that the Pythagorean theorem states that for a right triangle with legs a and b, and hypotenuse c, we have a^2 + b^2 = c^2.
2. In this case, the magnitudes of vectors A and B are the legs of the right triangle, so we can assign a = 30 units (magnitude of vector A) and b = 40 units (magnitude of vector B).
3. Now, we can use the Pythagorean theorem to find the magnitude of the resultant vector A+B (the hypotenuse of the right triangle). Plug in the values for a and b:
  30^2 + 40^2 = c^2
4. Calculate the sum:
  900 + 1600 = c^2
  2500 = c^2
5. Take the square root of both sides to find the magnitude of the resultant vector A+B:
  c = √2500 = 50 units
So the magnitude of the resultant vector A+B is 50 units.

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Answer:

A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:

x1,y1= (-2, 4)

x2,y2= (-1,1)

To make the angle 90 degrees, there is two possible third point coordinate:

1. x1, y2 = (-2,1)

2. x2, y1= (-1,4)

The right triangle would be option C: (-2,1)

Option A and B is not a right triangle

Step-by-step explanation:

Answer:

the coordinates of vertex E is (6,0)

C(2,0),compare this to(2,4)

same x.but y=0

(6,0)comparing to (6,12)

we get it

Categorical data can be either numeric or nonnumeric.

Categorical data can be described as a type of data that can be divided into group and given labels or numerical value for the sake of identification.

Some examples of numerical data are age group, race, sex, educational level, among others.

For example, we can give numerical values like 1 for male, and 2 for female when categorizing people based on sex.

Therefore, categorical data can be either numeric or nonnumeric.

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Answer:

there are no choices

Step-by-step explanation:

The Euler's Formula is given to be:

where F is the number of faces, V is the number of vertices, and E is the number of edges.

From the question, we have the following parameters:

Therefore, the number of faces can be calculated as shown below:

The polyhedron has 12 faces.

The linear equation that describe the relationship between the book collection by Cameron, c and Kenji, c each month is represented as c = k - 11.

Linear equations are defined as the equations of degree one. It is represents equation for the straight line. The standard form of linear equation is written as, ax + by + c = 0, where a ≠ 0 and b ≠ 0. We have specify that Cameron collects and his friend Kenji start collecting the old books. The above table figure which contains data of books collected by both in different months. We have to determine the equation many books Cameron will have (c) when Kenji has k books. Let c and k denotes the books collected by Cameron and Kenji respectively. We see there is always increase in old book collection by one in case of both of them (Cameron and Kenji) each month. So, there exits a linear equation. Also, from the table, the Kenji's book collection is always 11 units less from Cameron's book collection. So, the required equation is written by c = k - 11 for each month. Hence, the required equation is equal to c = k - 11.

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Complete question:

The above figure complete the question.

Cameron collects old books, and they convinced their friend Kenji to start collecting as well. Every month, they go to the store together, and they each buy a book. This table shows how many books they each have: They both want an equation they can use to find how many books Cameron will have (c) when Kenji has k books. Complete their equation.

Answer:

c=k+11

Step-by-step explanation:

Answer:

V = 4.84 × 10⁷ km³

Step-by-step explanation:

Volume of Sphere = \(\frac{4}{3}\pi r^3\)

Where r = 3400 km

V = \(\frac{4}{3} (3.14)(3400)^3\)

V = (4)(3.14)(11,560,000)/3

V = 48,422,415 km³

Upto 3 sfs:

V = 4.84 × 10⁷ km³

Answer: The figure is a RECTANGULAR prism.

The prism has (4) lateral faces.

Step-by-step explanation: it’s right trust me

Answer:

rectangular and four

Step-by-step explanation:

The complete representation of the expression is 7/ 10^-1 = 7 x 10^1

Index forms are simply defined as the exponent or power of a number raised to a variable or number.

It is known as the standard form of a number.

It is also known as the exponential representation of an expression or number .

Example;

The index form of 200 is 2 × 10^2

The index form of 40 is 4 × 10 ^1

Given the expression;

7/10-  = 7x10^

We have;

7/ 10^-1 = 7 x 10^1

Thus, the complete representation of the expression is 7/ 10^-1 = 7 x 10^1

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To find the length of the third side of the triangular birthday card, Sarah can use the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

In other words, 4 + 9 > x, so 4 + 9 > x is the inequality that is true.

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side. This means that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This theorem is useful for determining the possible lengths of the sides of a triangle, as well as for proving that a set of three lengths cannot form a triangle.

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Once you have the sample mean, sample standard deviation, and sample size, plug those values into the formulas above to calculate the confidence interval. The upper bound of the confidence interval will be the result of the addition (Sample mean + 1.96 * Standard error).

To construct a 95% confidence interval for the population mean weight of the candies, we need to first collect a sample of candy weights and calculate the sample mean and standard deviation. Let's assume we have a sample of 50 candies and the sample mean weight is 20 grams with a standard deviation of 3 grams.

Using a t-distribution with 49 degrees of freedom (n-1), we can find the margin of error for a 95% confidence interval, which is given by:

Margin of Error = t(0.025,49) x (s / sqrt(n))
where t(0.025,49) is the critical value of t with a significance level of 0.025 and 49 degrees of freedom (from a t-table or calculator), s is the sample standard deviation, and n is the sample size.

Plugging in the values, we get:

Margin of Error = 2.009 x (3 / sqrt(50)) ≈ 0.85 grams

To find the confidence interval, we simply add and subtract the margin of error from the sample mean:

95% Confidence Interval = (20 - 0.85, 20 + 0.85) = (19.15, 20.85) grams

Therefore, the upper bound of the confidence interval is 20.85 grams.
To construct a 95% confidence interval for the population mean weight of the candies, we need to use the following formula:

Confidence interval = Sample mean ± (Z-score * Standard error)

Here, the Z-score for a 95% confidence interval is 1.96. The standard error can be calculated using the formula:

Standard error = Sample standard deviation / √(Sample size)

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Answer:

1,300.6224 cm2

Step-by-step explanation:

V=Abxh

V= 113.0976 cm2 (11.5 cm)

V= 1300.6224 cm2

but first the area of the base is calculated:

Ab= πr2

Ab=3.1416(6)2

AB= 3.1416(36)

Ab=113.0976 cm2

Answer:

≈ 20.11 m²

Step-by-step explanation:

Area of lawn covered by one full rotation:

Area covered by 20 rotations of the roller:

The high temperature on Tuesday was -5°F.

Given that,

On Monday, the high temperature in Sheboygan, Wisconsin, was –12°F.

The high temperature on Tuesday was 7 degrees warmer than the high temperature on Monday.

Let T be the high temperature on Tuesday and M be the high temperature on Monday.

By the given statement,

T = M + (7°F)

We have, M = -12°F

Substituting,

T = -12°F + 7°F

  = -5°F

Hence the required temperature is -5°F.

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Answer:

551

Step-by-step explanation:

5% of 500 25

5 of 525 26.25

525+26.25

551.25

Sine interest formula: total = start amount x 1 + interest rate x time)

Total = 500 x (1+ 0.05 x 2)

Total = $550

Interest = 550 - 500 = $50

Comparing the measures of center, such as the mean, median, and mode, can provide insights into the distribution of a dataset.

By examining these measures, we can make inferences about the central tendency and overall shape of the data. If the mean and median are close in value, it suggests a symmetric distribution.

If the mean is greater than the median, the distribution may be skewed right, while the opposite indicates a left-skewed distribution. The mode can provide information about the most frequently occurring value(s) in the data.

When comparing the measures of center, we look at the mean, median, and mode. The mean is calculated by summing up all the values in a dataset and dividing by the total number of values. The median is the middle value when the data is arranged in ascending or descending order. The mode is the value(s) that occur most frequently in the dataset.

By comparing these measures, we can gain insights into the shape of the distribution. If the mean and median are similar in value, it indicates a symmetric distribution. This means that the data is roughly evenly distributed around the center. However, if the mean is greater than the median, it suggests a right-skewed distribution. In this case, there are some high values that are pulling the mean higher than the median. Conversely, if the mean is smaller than the median, it indicates a left-skewed distribution, where there are some low values pulling the mean lower than the median.

Additionally, the mode provides information about the most frequently occurring value(s) in the dataset. It can help identify any significant peaks or clusters in the data.

By comparing these measures, we can make inferences about the central tendency and overall shape of the data, which can provide valuable insights in various fields such as statistics, economics, and social sciences.

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\((\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{6}}}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-2=-x+6\implies y=-x+8\)

Based on the ratio provided, maximum number of cups of salad dressing that can be made are 16 cups (Option E)

Based on the provided information, oil, vinegar, and water are mixed in the ratio of 3:2:1 to make salad dressing. In order to make salad dressing, 3 portion oil, 2 portion vinegar, and 1 portion water is used i.e., 3:2:1. Hence, for n number of cups, the ratio is 3n:2n:1n. Which means that when n = 1, the number of cups of dressing would be 3 + 2 + 1 = 6cups.

When Larry has 8 cups of oil, 7 cups of vinegar, and access to any amount of water, the maximum portion of oil that can be used is 8/3 and of vinegar that can be used is 7/2. Hence the limiting factor would be oil here. Hence the value of n would be taken as 8/3 for each ingredient. Therefore, 8+16/3+8/3 = 48/3 = 16. Hence the maximum number of cups that can be made is 16 cups.

Note: The question is incomplete. The complete question is Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to make a salad dressing. If Larry has 8 cups of oil, 7 cups of vinegar, and access to any amount of water, what is the maximum number of cups of salad dressing he can make with the ingredients he has available, if fractional cup measurements are possible? A) 12 B) 13 C) 14 D) 15 E) 16.

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Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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