after a 60% reduction, you purchase a new soft drink machine on sale for $200. what was the original price of the soft drink

Answer:

x = 20

Step-by-step explanation:

I don't see a y in the diagram.

The 3 angles x, 90 and (4x - 10) lie on the line EF and sum to 180°, so

x + 90 + 4x - 10 = 180, that is

5x + 80 = 180 ( subtract 80 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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The regular expression is ^(a(aa)*b)$.

To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:

^(b|(a(aa)*b))$

Breaking it down:

^ indicates the start of the string.

(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.

(aa)* matches zero or more pairs of 'a's.

$ indicates the end of the string.

This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.

Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.

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Answer:

\(\frac{23}{12}\)

Step-by-step explanation:

Start by making a common denominator. In this case, it would be 12.

Multiply -1/3 by 4 to get -4/12

Multiply -9/4 by 3 to get -27/12

Then subtract

- \(\frac{4}{12}\) - (- \(\frac{27}{12}\) ) =23/12

You can also visualize this on a number line. Once you've made the denominator the same, start at -4/12 and move 27 units to the left to land on 23/12.

\({ \huge{ \green{ \underline{ \frak{Question}} \colon}}}\)

\({ \large{ \pink{ ⇝ \: \rm{To \: \: Find \: \: \bigg (4.9 \div \dfrac{1}{10} \bigg)}}}}\)

\({ \huge{ \purple{ \underline{ \frak{Answer}} \colon}}}\)

\({ \large{ \red{➢ \: \: \rm{4.9 \div \dfrac{1}{10} }}}}\)

\({ \large{ \orange{ ➢ \: \: \rm{4.9 \times 10}}}}\)

\({ \large{ \blue{➢ \: \: \bf{ \boxed{\bf{49 }}\: \: Ans.}}}}\)

Answer:

He travels 165 miles

Step-by-step explanation:

Answer:

no triangle I mean none it the answer

Step-by-step explanation:

if one angle is 95 degrees and another angle is obtuse

please follow mr

The cost of a 32-ounce container is 2.92 and the cost of 6 8-ounce containers is $4.18.

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Let's call the unit price of 8-ounce yogurt x.

32-ounce unit price = x + 0.002

32-ounce container cost = 32 * (x + 0.002) =0.064 + 32x

6 * 8-ounce container cost = 6 * 8 * x = 48x

Given, 32-ounce container cost = 6 * 8-ounce container cost - $1.33

Substituting the costs,

0.064 + 32x = 48x - 1.33

Solving for x,

48x - 32x = 0.064 + 1.33

16x = 1.394

x = $0.087125

So, the unit price of 8-ounce container is $0.087125

Cost of 32-ounce container = $0.064 + 32 * (0.087125 + 0.002) = $2.92

Cost of 6 8-ounce containers = 6 * 8 * 0.087125 = $4.18.

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To aid your experiment on the effects of fertilizer on the growth of three types of plants, the best approach would be For each plant type, either add fertilizer to all the plants or don't add fertilizer to any of the plants. The correct answer is C.

This approach allows you to compare the effects of fertilizer on each plant type independently. By applying the same treatment (fertilizer or no fertilizer) to all plants of a particular type, you create a controlled environment where the only differing factor is the presence or absence of fertilizer.

This will help you evaluate the specific impact of fertilizer on each plant type and draw accurate conclusions about its effects.

Giving fertilizer to all plants of one type and not giving fertilizer to any plants of the other two types, or giving fertilizer to all plants of two types and not adding fertilizer to any plants of the third type, would introduce confounding factors and prevent you from isolating the effect of fertilizer on each plant type.

By following the suggested approach, you can effectively assess the individual effects of fertilizer on each type of plant and gather meaningful data for your experiment.

Your question is incomplete but most probably your full question was

Select the correct answer. you are conducting an experiment on the effects of fertilizer on the growth of three types of plants, all grown from seed. multiple plants for each type will be grown. which action must be done to aid your experiment?

a. Give fertilizer to all the plants of one type, and donÍt give fertilizer to any plants of the other two types.

b. Give fertilizer to all the plants of two types, and donÍt add fertilizer to any plants of the third type.

c. For each plant type, either add fertilizer to all the plants or donÍt add fertilizer to any of the plants.

d. For each plant type, add fertilize to some of the plant and do not add  to some of the plant

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None of the given statements (A, B, C, or D) can be selected as correct based solely on the information provided.

From the given information, we have two random samples, each with a sample size of 12, and no statistically significant difference is found between the two groups. Based on this, we can evaluate the given statements:

A. The statement "The sample size does not impact results of statistical significance" is not correct.

The sample size does impact the results of statistical significance. Generally, larger sample sizes increase the power of the statistical test and improve the ability to detect significant differences.

B. The statement "Since random samples were used, the conclusion is likely to be true" is not necessarily correct.

While random sampling helps to reduce bias and increase generalizability, it does not guarantee the truth of the conclusion.

Other factors such as sample representativeness, research design, and analysis methods also contribute to the validity of the conclusion.

C. The statement "Since the sample size of each group is greater than 10, the conclusion is likely to be true" is not entirely accurate.

While having sample sizes greater than 10 is often considered a guideline for certain statistical tests, it is not the sole determining factor for the validity of the conclusion.

D. The statement "Since the sample size is small, the conclusion is likely to be untrue" is not necessarily correct.

The small sample size itself does not automatically invalidate the conclusion.

It depends on the specific research question, effect size, variability, and statistical power of the test.

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If the columns of A are linearly independent, then R must be invertible.

To show that if the columns of A are linearly independent, then R must be invertible, we'll use the given information A = QR, where Q is an m x n matrix, and R is an n x n matrix.

1: Since the columns of A are linearly independent, we know that the rank of matrix A is equal to n. The rank of a matrix is the maximum number of linearly independent columns.

2: Since A = QR, we also know that the rank of A is equal to the minimum of the ranks of Q and R (rank(A) = min(rank(Q), rank(R))).

3: As we established in Step 1, the rank of A is n. So, we have min(rank(Q), rank(R)) = n.

4: Since R is an n x n matrix, the maximum rank it can have is n. So, to satisfy the equation in Step 3, we must have rank(R) = n.

5: A square matrix (like R) is invertible if and only if its rank is equal to its size (number of rows or columns). Since R is an n x n matrix and we have established that rank(R) = n, R must be invertible.

In conclusion, if the columns of A are linearly independent, then R must be invertible.

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Answer:

6

Step-by-step explanation:

2/.03 = 66.66...7 times .09 = 6

The number is 66.67. And the 9% of the number 66.67 will be 6.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Let the number be 'x'. Then the equation is given as,

3% of x = 2

0.03 x = 2

x = 2 / 0.03

x = 66.67

Then the 9% of that number is calculated as,

⇒ 9% of 66.67

⇒ 0.09 x 66.67

⇒ 6

The number is 66.67. And the 9% of the number 66.67 will be 6.

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Step-by-step explanation:

The composition of two functions, f and g, is denoted as (f.g)(x) and is given by:

(f.g)(x) = f(g(x))

For the given functions f(x) = 2x - 3 and g(x) = 3x - 1, we have:

(f.g)(x) = f(g(x)) = f(3x - 1) = 2(3x - 1) - 3 = 6x - 5

So the composition of f and g is (f.g)(x) = 6x - 5.

Answer:

Angle E is 88º

Step-by-step explanation:

If angle A is 46, then angle B is 46. Angle C in triangle ABC then has to be 88. Because of this, angle C in triangle CDE has to be 88 as well. Hence, E is 88.

According to the computations, this rhombus's value of x is equal to 55°.

The total of all the angles in a rhombus should be 360 ° because the opposing angles in a rhombus are always identical.

We may infer the preceding information from the rhombus's picture:

Neighboring angles= 2x+ 20 & 50°

Opposite angles=2x+ 20 & 50°

Combining the angles results in:

2x+20+50+2x+20+50=360

⇒4x+140= 360

⇒4x=360-140

⇒4x=220

⇒x=220/4

⇒x=55°

Hence, it is concluded that the value of x is (b) 55°.

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Which of the following is an accurate definition for the power of a statistical test is C. The power of a statistical test refers to the probability of rejecting a false null hypothesis. This means that the test is able to correctly identify when there is a significant difference between two groups or conditions.

statistical tests are used to determine whether the results of an experiment are likely due to chance or whether there is a real effect. The null hypothesis states that there is no significant difference, while the alternative hypothesis states that there is. The power of a statistical test refers to the ability of the test to correctly reject the null hypothesis when it is false, and thus support the alternative hypothesis.

, the power of a statistical test is the probability of correctly rejecting a false null hypothesis, which indicates that there is a significant difference between two groups or conditions.

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Answer:

17

Step-by-step explanation:

put the point on 17 on the number line

Answer:

17

Step-by-step explanation:

12-(-5) = 12+5. Two negatives create a positive. 12+5=17

Answer: the polynomial deggre is 4

Step-by-step explanation:

The coefficient of variation (CV) calculator is a tool that helps you calculate the relative variability of a dataset. The coefficient of variation is the ratio of the standard deviation (SD) to the mean (μ) expressed as a percentage, and it is used to compare the variability of datasets with different units or scales.

The formula for the coefficient of variation is:

CV = (SD / μ) x 100%

To use a coefficient of variation calculator, you need to input the values of the dataset, either one by one or as a list, and select the type of data you have (sample or population). The calculator will then calculate the mean, standard deviation, and coefficient of variation of the dataset.

The coefficient of variation is commonly used in quality control, finance, and other fields to compare the variability of different datasets. A high coefficient of variation indicates that the dataset has a large amount of variability relative to the mean, while a low coefficient of variation indicates that the dataset has a small amount of variability relative to the mean.

The coefficient of variation is only meaningful when the mean is non-zero. If the mean is zero or close to zero, the coefficient of variation can be infinite or undefined.

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A coefficient of variation (CV) calculator is a tool used to calculate the coefficient of variation for a given dataset. The coefficient of variation is a statistical measure that is used to express the variation or dispersion of a dataset relative to the mean.

The CV is often expressed as a percentage and is useful for comparing the variation of different datasets that have different units of measurement and is calculated as the ratio of the standard deviation to the mean.

To use a coefficient of variation calculator, you need to input the dataset for which you want to calculate the CV. The calculator will then calculate the mean and standard deviation of the dataset and use these values to calculate the coefficient of variation. The result will be expressed as a percentage.

Alternatively, you can use a coefficient of variation calculator, which will perform these calculations for you. Many statistical software packages and online calculators offer coefficient of variation calculators, which can be a convenient tool for quickly calculating this measure for a given dataset.

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Answer:

i bleve it is A

Step-by-step explanation:

let me know if im right.

Answer:

D

Step-by-step explanation:

In conclusion, based on the provided information, the pairs of triangles that appear to be congruent are Triangle ABC and Triangle DEF, Triangle BCD and Triangle EFG, and Triangle CDE and Triangle FGH.

To determine which pairs of triangles appear to be congruent, we need to examine their corresponding sides and angles. Congruent triangles have the same shape and size, which means their corresponding sides are equal in length and their corresponding angles are equal in measure.

Let's analyze the given information about the triangles:

Triangle ABC:

Side AB is parallel to side DE and has the same length as side DE.

Side BC is parallel to side EF and has the same length as side EF.

Angle ABC is congruent to angle DEF.

Triangle BCD:

Side BC is parallel to side EF and has the same length as side EF.

Side CD is parallel to side FG and has the same length as side FG.

Angle BCD is congruent to angle EFG.

Triangle CDE:

Side CD is parallel to side FG and has the same length as side FG.

Side DE is parallel to side GH and has the same length as side GH.

Angle CDE is congruent to angle FGH.

From the given information, we can observe that the pairs of triangles that appear to be congruent are:

1. Triangle ABC and Triangle DEF: These triangles have corresponding sides AB and DE, BC and EF, and angle ABC and angle DEF that are congruent.

2. Triangle BCD and Triangle EFG: These triangles have corresponding sides BC and EF, CD and FG, and angle BCD and angle EFG that are congruent.

3. Triangle CDE and Triangle FGH: These triangles have corresponding sides CD and FG, DE and GH, and angle CDE and angle FGH that are congruent.

It is important to note that our observation of apparent congruence is based on the given information. To establish formal congruence, we would need additional information, such as the congruence of a third pair of corresponding sides or angles, to apply congruence postulates or theorems.

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Answer:

Total boxes= 75

Step-by-step explanation:

Giving the following information:

A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats.

First, we need to determine the number of bats that fits into a box:

Bats per box= 24,000 / 50

Barts per box= 480

Now, the number of boxes for 36,000 bats:

Total boxes= total bats / bats per box

Total boxes= 36,000/480

Total boxes= 75

Answer:75

Step-by-step explanation:

Bats 24000/50

Box 480

Answer:

Step-by-step explanation:

Answer:

qualitative and ordinal.

Step-by-step explanation:

They are both two types of qualitative data under Categorical data.

Nominal and ordinal are the levels of measurement for which data can be qualitative. Therefore, the correct option is option A, D.

A categorization that describes the type of information contained inside the importance attributed to variables is called level of measurement and scale of measure. The most well-known classification was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.

This system of defining several measurement levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. Nominal and ordinal are the levels of measurement for which data can be qualitative.

Therefore, the correct option is option A, D.

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ignore this i accidentally clicked

Answer:

b

Step-by-step explanation:

Answer:

219

Step-by-step explanation:

Just take 232 minus 13, you get 219

Answer:

219

Step-by-step explanation:

13+c=232

subtract 13 from each side

c=219

hope this helps :)

The equation is \(y=-87(x-1)^{2} (x-3)^{3}\).

What is meant by zeroes of polynomials?

All the x-values that bring a polynomial, p(x), to zero are referred to as its zeros. They are intriguing to us for a variety of reasons, one of which is that they provide information on the graph's x-intercepts for the polynomial.

It is given that degree of the equation is 5. so the highest power is 5 and there will be 5 zeroes.

It is given that 2 zeroes at x=1 and 3 zeroes at x= 3.

So, the equation is \(y=a(x-1)^{2} (x-3)^{3}\).

We will substitute x=2 and y= 87 in the above equation.

\(87=a(2-3)^{3} \\a=-87\)

Therefore now the equation will be:

\(y=-87(x-1)^{2} (x-3)^{3}\).

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The width of the river is 1700m

What is the time, distance & speed relation?

Speed is calculated by dividing the distance traveled by the amount of time it took to get there. Divide the distance by the speed to find the passing time. To get the distance, multiply the speed by time.

Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank

boat one has travelled 700 (rate = 700/unit time) boat two has travelled   x rate = x / unit time

boat one then travels   x  + 400  more      and boat two travels   700 + (700+x -400) more    when they meet

The time is the same:    

rate x time = distance  

distance/rate = time    

equate the distances divided by the respective rates

(700 + x + 400)/700     =    (  x  +  700     +  (700+x-400) )/x

1100x + x^2 = 1400x + 700000

x^2 - 300x - 700000 = 0                        

quadratic formula yields  x = 1000  

One boat travels 700 the other 1000 when they first meet.....width of the river =   700+ 1000 = 1700 m

Hence, the width of the river is 1700m

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