A triangle has angle measures of (x + 3)º, (5x − 8)º, and (2x + 1)º. - What is the measure of the smallest angle of the triangle in degrees? A 47° B C 26° 107⁰ 23°​

Answer:

A

Step-by-step explanation:

40% = 40/100 = 4/10 = 2/5

2/5 * 2/5 = 4/25 = 0.16

Answer:

11.25 cm²

Step-by-step explanation:

Area of rectangle = height * length = ED*BD

40 cm² = 8cm * BD

BD = 5cm

Area of triangle = 1/2 length * height = 1/2 *BC*BD

= 1/2 * 4.5 *5

= 11.25 cm²

Answer: C. 78%

Step-by-step explanation:

simply divide 7 by 9 and move the decimal two places to the right and round!

Answer:

C

Step-by-step explanation:

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\(F = \frac{9}{5} \alpha + 32 \\ \)

\( \alpha \: is \: in \: centigrade\)

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To find Farenheit just need to put the degree instead of alpha

In a one-sided hypothesis test for the mean for a random sample of size 20, the t-score of the sample mean is 2.615 in the direction of the alternative. This significant at the 5% level and not significant at 1% level.

In hypothesis testing, the t-score measures how many standard errors the sample mean is from the hypothesized population mean. The formula for calculating the t-score is:

t = (sample mean - hypothesized population mean) / (standard error of the mean)

In this case, we are given that the t-score is 2.615 and that it is in the direction of the alternative hypothesis (which means the sample mean is greater than the hypothesized population mean). We can use a t-table or a statistical software to find the p-value associated with this t-score.

Assuming a two-tailed test (since we don't know if the alternative hypothesis is greater than or less than the null hypothesis), the p-value is the probability of getting a t-score greater than or equal to 2.615 or less than or equal to -2.615 (the negative value since it's a two-tailed test).

Using a t-table with 19 degrees of freedom (since the sample size is 20 and we are estimating one parameter), we find that the p-value is approximately 0.014 for a one-tailed test in the direction of the alternative.

To determine if the result is significant at the 5% level or 1% level, we compare the p-value to the significance level (alpha). If the p-value is less than alpha, we reject the null hypothesis and conclude that the result is statistically significant.

For a one-tailed test at the 5% level, alpha = 0.05. Since the p-value (0.014) is less than alpha, we reject the null hypothesis and conclude that the result is significant at the 5% level.

For a one-tailed test at the 1% level, alpha = 0.01. Since the p-value (0.014) is greater than alpha, we fail to reject the null hypothesis and conclude that the result is not significant at the 1% level.

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Answer:

3 hours obviously

Step-by-step explanation:

1 hour looking for a book, 1 hour reading it, and one hour doing research on the book = 3 hours

The carton of tropical juice contains 500 ml of mango juice, 600 ml of pineapple juice, and 900 ml of guava juice.

To find the amount of each juice that went into the carton of tropical juice, we'll calculate the quantities based on the given percentages.

Let's denote the volume of mango juice as M (in milliliters), the volume of pineapple juice as P, and the volume of guava juice as G. Since the total volume of the carton is 2 liters, we have 2000 milliliters as the total volume.

According to the given information, mango juice accounts for 25% of the total volume, pineapple juice accounts for 30%, and the remaining volume is guava juice.

We can express these relationships as equations:

M + P + G = 2000 (Equation 1)

M = 0.25 * 2000 (Equation 2)

P = 0.30 * 2000 (Equation 3)

G = 2000 - (M + P) (Equation 4)

From Equation 2, we have M = 0.25 * 2000 = 500 ml.

From Equation 3, we have P = 0.30 * 2000 = 600 ml.

Substituting these values into Equation 4, we get:

G = 2000 - (500 + 600) = 900 ml.

Therefore, the quantities of each juice that went into the carton of tropical juice are as follows:

Mango juice: 500 ml

Pineapple juice: 600 ml

Guava juice: 900 ml

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Answer:

5

Step-by-step explanation:

The number of apples bought by him is 113.

A grouping of variables, symbols, and/or numbers used to represent a mathematical quantity or relationship is known as an expression in mathematics. Expressions might be straightforward with just one number or variable or complex with many terms, operations, and functions.

Let's assume that Sam bought x number of apples.

He bought them at 60 cents each, which means the total cost of buying these apples was:

Cost price = 60x cents

He sold all but 5 of these apples at R1.00 each, which means the total revenue he earned from selling them was:

Revenue = (x - 5) x R1.00 = R(x - 5)

Sam made a profit of R5.00, which means his revenue was more than his cost price by R5.00. We can write this as:

Revenue - Cost price = R5.00

Substituting the values of revenue and cost price from above, we get:

R(x - 5) - 60x = 500 cents

Rearranging and simplifying this equation, we get:

40x = 500 + 5R

Substituting R = R1.00, we get:

40x = 500 + 5 = 505

Solving for x, we get:

x = 12.625

Since Sam cannot buy a fraction of an apple, we round up x to the nearest integer:

x = 13

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The value of x is 14.

When two straight lines overlap, they generate a pair of non-adjacent angles known as vertical angles.

Vertical angles are situated opposite one another. Due to their position across from one another, they are also known as vertically opposite angles.

Vertically opposite angles are always equal and they can be both supplemental and complementary.

Here we have

EH and DF are two lines intersected at a point G

Given Measure of ∠FGH = 64°

Measure of ∠EGD = (4x+8)°

Here are the angles ∠FGH and ∠EGD are vertically opposite angles

=> ∠FGH =∠EGD

By the given data

=> 64° = (4x+8)°  

=> 4x = 64° - 8°

=> 4x = 56°  

=> x = 14°

Therefore,

The value of x is 14.

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Complete Question:

If the measure of angle FGH is 64 degrees and the measure of angle EGD is (4 x 8) degrees, what is the value of x? lines EH and DF intersect at point G.  

In this case, the mean absolute deviation of 8.5 indicates that, on average, the data points deviate from the mean by about 8.5 units.

Mean absolute deviation (MAD) is a statistical measure that represents the average distance between each data point and the mean of the data set. It is calculated by finding the absolute value of the difference between each data point and the mean, and then taking the average of these absolute differences. MAD is a useful measure of the variability or spread of a data set, and is often used as an alternative to the more common measure of standard deviation. Like standard deviation, MAD gives an indication of how spread out the data is, but unlike standard deviation, MAD is less sensitive to extreme values or outliers.

Here,

To find the mean absolute deviation of the data, we first need to calculate the mean (average) of the data:

Mean = (46 + 54 + 43 + 57 + 50 + 62 + 78 + 42) / 8

Mean = 52

The mean of the data is 52.

Next, we need to calculate the absolute deviation of each data point from the mean. The absolute deviation is simply the absolute value of the difference between each data point and the mean:

|46 - 52| = 6

|54 - 52| = 2

|43 - 52| = 9

|57 - 52| = 5

|50 - 52| = 2

|62 - 52| = 10

|78 - 52| = 26

|42 - 52| = 10

Now, we can calculate the mean absolute deviation by taking the average of the absolute deviations:

Mean Absolute Deviation = (6 + 2 + 9 + 5 + 2 + 10 + 26 + 10) / 8

Mean Absolute Deviation = 8.5

The mean absolute deviation of the data is 8.5.

Interpretation: The mean absolute deviation represents the average distance between each data point and the mean of the data. In this case, the mean absolute deviation of 8.5 indicates that, on average, the data points deviate from the mean by about 8.5 units. This means that the data points are relatively spread out, with some points being much higher or lower than the mean.

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Answer:

answer 9x

Step-by-step explanation:

6x^{2}+4x

Factor: 2x out of 6x^{2}

2x (3x) + 4x

Factor: 2x out of 4x

2x (3x) + 2x (2)

Factor: 2x out of 2x (3x) + 2x (2)

2x (3x + 2)

May be wrong

Answer:

It can still be worn if the weather forecast is below the manufacturer's advertisement

Answer:

4/16

Step-by-step explanation:

Option A. depicts the right goal function and restrictions for constructing the lowest-cost diet that meets the minimum daily protein, calorie, and vitamin B2 requirements. The goal function is to minimize cost, where C = 0.21r + 0.14s, where r and s are the numbers of cups of brown rice and soybeans, respectively.

The constraints are as follows: 15r + 22.5s >= 90, which ensures that the daily requirement of 90 grams of protein is met. 810r + 270s >= 1620, which ensures that the daily requirement of 1620 calories is met. (1/9)r + (1/3)s >= 1, which ensures that the daily requirement of 1 milligram of riboflavin is met.

Finally, r >= 0 and s >= 0 ensure that the number of cups of brown rice and soybeans, respectively, cannot be negative.

To tackle this problem, we may employ linear programming techniques such as the simplex method to determine the values of r and s that minimize the cost function while meeting all constraints. The minimal cost in this example is $2.70, which may be obtained by ingesting 3 cups of brown rice and 1 cup of soybeans every day.

Therefore, Option A is the correct answer.

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we can use the formula for simple interest which is given by; I = PRT Where;I = interest earned P = principal or initial investment amount

R = interest rate

T = time period in years Given;

I = $2000R = 5% = 0.05

T = 10 years Substituting the given values into the formula for simple interest,

we have;2000 = P(0.05)(10) Simplifying,2000 = 0.5P Dividing both sides by 0.5, we get;4000 = P Therefore, the initial investment amount is $4000. Initial investment amount = $4000Long answer:The interest earned on an initial investment amount over a certain time period can be calculated using the formula for simple interest which is given by;I = PRTWhere;I = interest earned P = principal or initial investment amount R = interest rate T = time period in years Given the interest earned (I), interest rate (R) and time period (T),

we can calculate the initial investment amount as shown below;I = PRTP = I / RT Therefore, in the given problem, we are required to find the initial investment amount. Substituting the given values into the formula above, we get;P = I / RTP = 2000 / (0.05 x 10)P = 2000 / 0.5P = 4000Therefore, the initial investment amount is $4000.

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Random sampling is widely used in research and surveying since it is considered to be a highly efficient technique for gathering data from a large population within a reasonable time frame.

A sample is a portion of the population is drawn in such a way that every member of the population and important sub-categories of the population have an equal chance of being selected for the survey, yielding a sample that is demographically similar to population. This is known as random sampling. Random sampling is a method for selecting a subset of individuals from a population. It entails using chance mechanisms to choose a sample of people from a population. In the context of sampling, demographically similar refers to samples that are drawn in such a way that they represent the same proportions of individuals based on demographic criteria (e.g., gender, age, income, etc.) as the population from which they were taken. Random sampling is widely used in research and surveying since it is considered to be a highly efficient technique for gathering data from a large population within a reasonable time frame.

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Answer:

5.95

Step-by-step explanation:

9 min-> $3.15

1 min -> 0.35

17 min->5.95

plese give me brainliest

Answer:

44

Step-by-step explanation:

Answer:

0,3,5,8

Step-by-step explanation:

Domain numbers are always on the left

Range is always on the right

Hope this helps!:)

The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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Answer:

x=5

y=2

w= -5

Step-by-step explanation:

We have that the two matrix are equal, so all corresponding elements are equal.

X-Y=3

From the second row and second column, we have y=2

so x-2=3

x=5

From the third row and the first column, we have w= - 5

Based on the equation 3, the data on resistivity agrees well with the given values. However, there may be some sources of experimental error that can affect the accuracy of the data. These sources of error which include Measurement, Human, Random errors.

1. Measurement errors: These can occur due to the inaccuracy of the measuring instruments used in the experiment. For example, if the instrument used to measure the slope is not calibrated correctly, it can lead to inaccurate results.

2. Human errors: These can occur due to the mistakes made by the experimenter. For example, if the experimenter does not read the measurements correctly, it can lead to inaccurate results.

3. Random errors: These can occur due to the uncontrollable factors that can affect the experiment. For example, if there is a change in temperature during the experiment, it can affect the resistivity of the material.

Overall, it is important to consider these sources of experimental error in order to obtain accurate data on resistivity.

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a. In this scenario, a t-test should be used as it t is appropriate when the population standard deviation is unknown and needs to be estimated from the sample data.

But, since the population standard deviation is known, we can use the z-test.

However, it is generally more conservative to use the t-test when the sample size is small, as it provides more accurate results.

b. To determine whether the manufacturer's claim is supported, we need to perform a hypothesis test.

The null hypothesis (H0) would state that the average lifetime of the televisions is equal to or greater than 5 years. The alternative hypothesis (H1) would state that the average lifetime is less than 5 years.

By conducting the t-test, we can calculate the test statistic and compare it to the critical value. If the test statistic falls within the rejection region, we can reject the null hypothesis and conclude that the manufacturer's claim is not supported.

If the test statistic falls outside the rejection region, we fail to reject the null hypothesis, indicating that the claim is supported.

Using the given sample data and assuming a significance level (α) of 0.025, we calculate the t-test statistic based on the sample mean, sample size, and sample standard deviation.

We then compare it to the critical value from the t-distribution table. If the t-test statistic is greater than the critical value, we reject the null hypothesis and conclude that the claim is not supported.

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Any measurement greater than or equal to 56 fluid ounces falls within this range,

so there are many possible answers.

To find which measurements are greater than or equal to 56 fluid ounces,

we need to look at various units of measurement.

There are many different units of measurements, including volume, weight, and length.

For the purpose of this question, we will focus on volume measurements in fluid ounces.
One gallon is equal to 128 fluid ounces.

Therefore, any measurement greater than or equal to 56 fluid ounces would be less than half a gallon.

Half a gallon is equal to 64 fluid ounces.

So, any measurement greater than or equal to 56 fluid ounces but less than 64 fluid ounces would work.
Here are some examples of measurements greater than or equal to 56 fluid ounces:
1. 56 fluid ounces
2. 60 fluid ounces
3. 64 fluid ounces (equal to half a gallon)
4. 70 fluid ounces
5. 80 fluid ounces
6. 100 fluid ounces

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(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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Given:

Consider the number as x.

The objective is to represent algebraic expression for, 2 is subtracted from the square of a number.

Explanation:

Since the number is given as x, the square of the number can be represented as,

Now, subtract 2 from the above expression,

Hence, the required expression is x²-2.

Answer:

$0.75

Step-by-step explanation:

the total was 6 dollars, and there were 8 lemons. so 6/8 = 3/4 = 0.75

hope this helps!! :)

Answer:

.75 cents each

Step-by-step explanation:

if you divided the 6 dollars by the 8 lemons then you get 0.75