what is the scale factor of the two triangles

Answer:

$300

Step-by-step explanation:

y = 100x + 300

where X represents the amount of months.

The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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Answer:

y=29x+5, I think that's the answer

The equation of a line passing through the point (a,0) and parallel to the y-axis is x = a

The equation of line parallel to y axis is of the form x = a, and it cuts the x-axis at the point (a, 0). Here all the points on this line parallel to the y-axis will have the same x coordinate of a. Further the equation of line parallel to y-axis and cutting the x-axis at point (a, 0) is at a perpendicular distance of 'a' units from the y-axis

The equation of line parallel to the y axis and cutting the positive x-axis passes through the first and the fourth quadrant. And the equation of line parallel to the y axis and cutting the negative x-axis passes through the second and the third quadrant of the coordinate axes.

To find the equation of line passing through the point and parallel to y-axis:

Let Line cut the x-axis at point a .

So , the equation of line will be x = a

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In the case when ø21 and ø22 are unknown and can be assumed equal, we can calculate a pooled estimate of the population variance. This statement is True.

In the case where ø21 and ø22 are unknown and can be assumed equal, it is possible to calculate a pooled estimate of the population variance. This pooled estimate combines the sample variances from two groups or populations to obtain a more accurate estimate of the common variance. It assumes that the underlying variances in both groups are equal.

The pooled estimate of the population variance is calculated by taking a weighted average of the individual sample variances, with the weights determined by the sample sizes of the two groups. This pooled estimate is useful in various statistical analyses, such as t-tests or analysis of variance (ANOVA), where the assumption of equal variances is necessary.

However, it is important to note that the assumption of equal variances should be validated or tested before using the pooled estimate. If there is evidence to suggest unequal variances, alternative methods or adjustments may be necessary.

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Answer:

sorry I really need these points im so so sorry bro I need it too pass highschool

Step-by-step explanation:

Because number line divide into 2 parts, so denominator of fraction is 2

whole number 1, fraction = 2/2

whole number 2, fraction = 4/2

whole number 3, fraction = 6/2

The value of x in the angles is 15.

When lines intersect, angle relationships are formed such as vertically opposite angles, linear angles etc.

Vertically opposite angles are congruent. Vertically opposite angles have the same vertex.

Therefore, using vertically opposite angles principle,

3x + 7 + 2x + 8 = 90

5x + 15 = 90

subtract 15 from both sides of the equation

5x + 15 = 90

5x + 15 - 15 = 90 - 15

5x = 75

divide both sides by 5

5x / 5 = 75 / 5

x = 15

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Answer:

Part A)

6 m/s²

Part B)

-3 m/s.

Step-by-step explanation:

We are given that the velocity, in meters per second, of an object at a time t for t ≥ 0 is given by the function:

\(\displaystyle v(t) = 2t^3 - t^2 - 4\)

Part A)

To find the average acceleration of the object during the first two seconds, we can find the average slope of v from t = 0 to t = 2. Hence:

\(\displaystyle \begin{aligned} \text{avg} & = \frac{v(2) - v(0)}{(2)-(0)} \\ \\ & = \frac{(8) - (-4)\text{ m/s}}{2\text{ s}}\\ \\ & = 6\text{ m/s$^2$}\end{aligned}\)

Hence, the average acceleration of the object during the first two seconds was 6 m/s².

Part B)

Recall that acceleration is the derivative of the velocity function. In other words:

\(\displaystyle a(t) = \frac{d}{dt}\left[ v(t)\right]\)

Substitute and solve:

\(\displaystyle \begin{aligned}a(t) & = \frac{d}{dt}\left[ 2t^3 - t^2 - 4\right] \\ \\ &= 6t^2 - 2t \end{aligned}\)

To find the time(s) for which the acceleration is equal to 4, set a equal to 4 and solve for t:

\(\displaystyle \begin{aligned}4 & = 6t^2 - 2t \\ \\ 2 & = 3t^2 - t \\ \\ 3t^2 - t - 2 & = 0 \\ \\ (t-1)(3t+2) & = 0 \\ \\ t = 1 \text{ or } t = -\frac{2}{3} \end{aligned}\)

Since t ≥ 0, we can ignore the second solution.

Evaluate v at t = 1:

\(\displaystyle v(t) = 2(1)^3 - (1)^2 - 4 = -3\text{ m/s}\)

In conclusion, when the acceleration is 4 m/s² at t = 1, the velocity is -3 m/s.

Answer:

The answer is d) 22.4

Step-by-step explanation:

I attached a file below if you want to see the process!

9514 1404 393

Answer:

  $2038.85

Step-by-step explanation:

The value of the loan at that point is given by ...

  A = P(1 +rt) . . . . . Principal P, rate r, time t (years)

  A = $1850(1 + 0.1225·(10/12)) = $2038.85

Ricardo will have paid back $2038.85 at the end of the loan period.

_____

Additional comment

We assume that the loan accrues simple interest and that the amount due is the sum of principal and interest at the end of the loan period.

The question is not specific as to whether interest compounds, or whether intermediate (monthly) payments are made. There are many possible ways the loan could be repaid, generally involving different amounts for the different terms.

The answer to the question is x = 15. This can be calculated using the following logic:

From the given data, we know that 15 people like all three fruits. Therefore, out of the 100 customers, 85 customers like one or more of the three fruits.

We also know that 22 people like mangoes and bananas, 33 people like mangoes and kiwi fruits, and 27 people like bananas and kiwi fruits. Therefore, the total number of customers that like mangoes is 55 (22 + 33).

Since 85 people like one or more of the three fruits, and 55 of those people like mangoes, then x (the number of people who like only mangoes) must be 30 (85 - 55).

However, we know that 15 people like all three fruits. Therefore, the actual number of people who like only mangoes must be 15 (30 - 15).

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Answer:

NO

Step-by-step explanation:

First, we should simplify both fractions to the most simple form.

4/14=2/7

12/40=6/20=3/10

A proportion means that it is equal. 2/7 does not equal 3/10, so the answer is no.

The average rate of change of the enrollment during this time period is increasing with 48 students/year.

What is rate of change?

In 2001, there were 940 students.

In 2009, there were 1324 students.

Represent year with y and students with x.

Average rate of change = (x₂ - x₁) / (y₂ - y₁)

= (1324 - 940) / (2009 - 2001)

= 384/ 8

= 48

Average rate of change = 48 students/year

Hence, the average rate of change of the enrollment during this time period is increasing with 48 students/year.

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"When the size of the sample selected from a subgroup is proportional to the size of the that subgroup in the entire population "We refer to this as: proportionate stratified sampling.

This method involves dividing the population into subgroups based on certain characteristics and then selecting a sample from each subgroup in proportion to its size in the population. This helps to ensure that the sample is representative of the entire population and reduces the potential for bias.

Proportionate stratified sampling is a sampling technique used in statistics to obtain a representative sample of a population. In this method, the population is first divided into subgroups or strata based on certain characteristics that are relevant to the research question. Then, a random sample is selected from each stratum in proportion to the size of the stratum in the population.

The main advantage of proportionate stratified sampling is that it ensures that each stratum is represented in the sample in proportion to its size in the population. This can lead to more accurate estimates and more precise statistical inferences, particularly when there are substantial differences between the strata with respect to the variables of interest.

For example, suppose a researcher is interested in studying the average income of a population that includes people from different age groups. The researcher could divide the population into strata based on age (e.g., 18-30, 31-50, 51 and above) and then randomly sample individuals from each stratum in proportion to its size in the population. This would help ensure that the sample reflects the distribution of age groups in the population and thus improve the accuracy of the income estimates.

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Answer:

1.58113883 i

Step-by-step explanation:

√-2.5 is error

1.58113883 i

i the square root of negative one.

Any number times itself is a positive number (or zero), so you can't ever get to a negative number by squaring. Since square roots undo squaring, negative numbers can't have square roots.

Answer:

\(1.58\ i\)

Step-by-step explanation:

Step 1:  Determine the square root of -2.5

The \(\sqrt{-1}\) is equal to i so we can say that \(\sqrt{(-1)^2}\) is equal to \(\sqrt{i^2}\) which is then equal to \(i\).  This means that we have \(i\sqrt{2.5}\).

We can then take the square root of 2.5 which is rounded to \(1.58\ i\)

Answer:  \(1.58\ i\)

I had calculated and answer is jackson

Answer:

B. Faith

Step-by-step explanation:

Casey paid $2.75 per gallon

55/20= 2.75

Jackson: 33.60/12 = 2.80

Faith: 30.25/11 = 2.75

Xavier: 39/15 = 2.60

Dominic: 39.20/14 = 2.80

Answer:

15/40 seats

Step-by-step explanation:

tamang sagot po yan

#carry on learning

Answer:

73

Step-by-step explanation:

the answer is 73 because a parallelogram has to add up to 180.

180-107= 73  

Answer:

h(2)=6

Step-by-step explanation:

just plug in 2 where you have an x, and you’d have 2 + 6, which equals 6

Answer:

Option (1)

Step-by-step explanation:

Given triangle ABC shows the length of side AB = 3 units

Measure of angle A = 66°

Measure of angle C = 38°

By applying Sine rule in the given triangle,

\(\frac{\text{Sin}A}{BC}=\frac{\text{Sin}B}{AC}=\frac{\text{Sin}C}{AB}\)

Or \(\frac{\text{Sin}A}{a}=\frac{\text{Sin}B}{b}=\frac{\text{Sin}C}{c}\)

By substituting the given measures,

\(\frac{\text{Sin}A}{BC}=\frac{\text{Sin}C}{c}\)

\(\frac{\text{Sin}66}{BC}=\frac{\text{Sin}38}{3}\)

BC = \(\frac{3\times \text{Sin}66}{\text{Sin}38}\)

Therefore, Option (1) will be the answer.

Answer:

its A

Step-by-step explanation:

it's the answer

Managers, goods, services, and technology are all needed in developing countries, and therefore, they provide new markets for companies that can supply these essentials.

Developing countries often have growing economies and increasing consumer demands. As these countries strive for development and improvement, they require effective management to drive their businesses and organizations. Managers play a crucial role in overseeing operations, implementing strategies, and maximizing efficiency.

Additionally, developing countries require goods and services to meet the needs of their populations. This includes basic necessities such as food, clothing, and shelter, as well as other essential products and services like healthcare, education, infrastructure development, and transportation. Companies that can provide these goods and services have an opportunity to enter new markets and cater to the demands of the growing population.

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The majority rule violates the condition of transitivity, which means that if A is preferred to B and B is preferred to C, then A must be preferred to C.

In this case, we have M prefers O to R, and R to I, and D prefers I to O, and O to R. Based on the majority rule, R would be chosen since it has two votes, while O and I have only one vote each. However, this violates the transitivity condition since M prefers O to R and D prefers O to R, so it would be expected that the household would prefer O to R as well. Therefore, the majority rule fails to guarantee that the chosen alternative is the best one according to the preferences of the household members.

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Answer:

4^5/ 4^-9

Step-by-step explanation:

the third one

Answer:

y=3x+1 or Slope:3 and Y intercept: (0,1)

Step-by-step explanation:

Use the slope formula and the slope-intercept form to find the slope  m  and y-intercept  b .

Formula : y=mx+b

Answer:

the y intercept is (0,1) and the slope is 3

that means the  y = mx + b format would be:

y = 3x + 1

To determine the values of x, y, and z, we can solve the equation Ax = ⎝⎛​20−1​⎠⎞​.

Using the given value of A^-1, we can multiply both sides of the equation by A^-1:

A^-1 * A * x = A^-1 * ⎝⎛​20−1​⎠⎞​

The product of A^-1 * A is the identity matrix I, so we have:

I * x = A^-1 * ⎝⎛​20−1​⎠⎞​

Simplifying further, we get:

x = A^-1 * ⎝⎛​20−1​⎠⎞​

Substituting the given value of A^-1, we have:

x = ⎝⎛​3−1−2​010​−101​⎠⎞​ * ⎝⎛​20−1​⎠⎞​

Performing the matrix multiplication:

x = ⎝⎛​(3*-2) + (-1*0) + (-2*-1)​(0*-2) + (1*0) + (0*-1)​(1*-2) + (1*0) + (3*-1)​⎠⎞​ = ⎝⎛​(-6) + 0 + 2​(0) + 0 + 0​(-2) + 0 + (-3)​⎠⎞​ = ⎝⎛​-4​0​-5​⎠⎞​

Therefore, the values of x, y, and z are x = -4, y = 0, and z = -5.

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Answer:

\(\sqrt{34}\) or 5.831

Step-by-step explanation:

Plug the coordinates into the formula and there's your answer.

Answer:

No esta bien escrito

Step-by-step explanation:

• The equation 9y² + 6ky + 4= 0 has equal roots .

• The value of k.

• As we know that , For equal roots :

• Discriminant must be equal to zero.

D = b²- 4ac = 0

Here ,

a= 9 , b = 6k , and c = 4 .

=> b²-4ac= 0

=> (6k)² - 4 (9)(4)=0

=> 36k² - 144=0

=> 36k²= 144

=> k²= 144/36

=> k²= 4

=> k = ±2.

Hence ,the option b is correct .

I hope it will help you.

Regards.

The orthogonal complement w⊥ of w has a basis given by {v1, v2} = {(1, 0, 0), (0, 1, 2)}.

To find the orthogonal complement w⊥ of w, we need to find the set of all vectors that are orthogonal (perpendicular) to w.

Given w = (x, y, z) = (12t, -12t, 6t), we can find a vector v = (a, b, c) that is orthogonal to w by taking their dot product equal to zero:

w · v = 0

Substituting the values of w and v:

(12t, -12t, 6t) · (a, b, c) = 0

(12t)(a) + (-12t)(b) + (6t)(c) = 0

12at - 12bt + 6ct = 0

Now, we can solve this equation to find the values of a, b, and c that satisfy the orthogonal condition for all values of t.

12at - 12bt + 6ct = 0

Factor out t:

t(12a - 12b + 6c) = 0

For this equation to hold true for all values of t, the expression inside the parentheses must equal zero:

12a - 12b + 6c = 0

Divide by 6:

2a - 2b + c = 0

This equation represents a plane in three-dimensional space. To find a basis for w⊥, we can express this equation in the form of a linear combination of vectors. Let's solve for c:

c = 2b - 2a

Now, we can express the basis vectors for w⊥ in terms of a and b:

v = (a, b, 2b - 2a)

We can choose any values for a and b to get different vectors in the orthogonal complement w⊥. For example, we can set a = 1 and b = 0:

v1 = (1, 0, 0)

Or we can set a = 0 and b = 1:

v2 = (0, 1, 2)

These two vectors, v1 and v2, form a basis for w⊥.

Therefore, the orthogonal complement w⊥ of w has a basis given by {v1, v2} = {(1, 0, 0), (0, 1, 2)}.

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