The green parallelogram is a dilation of the black parallelogram. What is the scale factor of the dilation?



A) 1/3



B) 1/2



C) 2

Answer and Explanation:

The height of the small bottle can be calculated using the ratio of the width of the large and small bottles.

Ratio of width = Large bottle width / Small bottle width

Ratio of width = 9.9 cm / 4.5 cm

Ratio of width = 2.2

Therefore, the height of the small bottle can be calculated by multiplying the ratio of width with the height of the large bottle.

Height of small bottle = Ratio of width x Height of large bottle

Height of small bottle = 2.2 x 19.8 cm

Height of small bottle = 43.56 cm

Answer:

see explanation

Step-by-step explanation:

Using the identities

sec x = \(\frac{1}{cosx} \)  ,  csc x = \(\frac{1}{sinx} \)

sin²x + cos²x = 1

Consider the left side

\(\frac{cos0}{sec0} \) + \(\frac{sin0}{csc0} \)

= \(\frac{cos0}{\frac{1}{cos0} } \) + \(\frac{sin0}{\frac{1}{sin0} } \)

= cos²Θ + sin²Θ

= 1 = right side , thus proven

a) The parallel linear function is given as follows: y = -x + 5.

b) The perpendicular linear function is given as follows: y = x - 11.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The parameters of the definition of the linear function are given as follows:

Item a:

When two lines are parallel, they have the same slope, hence:

y = -x + b.

When x = 8, y = -3, hence the intercept b is obtained as follows:

-3 = -8 + b

b = 5.

Hence the equation is:

y = -x + 5.

Item b:

When two lines are perpendicular, they have the same slope, hence:

y = x + b.

When x = 8, y = -3, hence the intercept b is obtained as follows:

-3 = 8 + b

b = -11.

Hence the equation is:

y = x - 11.

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Answer: 3 dogs

Step-by-step explanation:

Each dog eats 1/6 cans of food

Stanley uses a total of 1/2 cans of food

\(\frac{1}{2}\)  / \(\frac{1}{6}\) = 1/2 * 6

= 3 dogs

a. The decimal is terminating and the rational number is 0.

b. The decimal is terminating and the rational number is 0.

c. The decimal is repeating and the rational number is 0.161616...

d. The decimal is terminating and the rational number is 0.

To write a rational number as a decimal, you need to divide the numerator by the denominator. Let's go through each option to determine which decimal is repeating or terminating.

a. 0: This decimal is terminating because there are no numbers after the decimal point. The rational number is 0.

b. 0: This decimal is also terminating because there are no numbers after the decimal point. The rational number is 0.

c. 0.16 overbar: This decimal has a line over the 16, indicating that it is repeating. The rational number is 0.161616...

d. 0: This decimal is terminating because there are no numbers after the decimal point. The rational number is 0.

So, to summarize:

a. The decimal is terminating and the rational number is 0.

b. The decimal is terminating and the rational number is 0.

c. The decimal is repeating and the rational number is 0.161616...

d. The decimal is terminating and the rational number is 0.

.

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In this function, option C; 2.9 million is the population of the city in 1990 and 0.08 million is the increase per year in the population

Let t be the time in year, P(t) be  the population in millions

we have population, in millions, of a city t years after 1990 is given by the equation P(t) = 2.9 + 0.08t.

This is a linear equation

P(t) = 2.9 + 0.08t

where

The term 2.9 is the y-intercept of the linear equation, it is the population of the city in 1990

The term  0.08 is the slope of the linear equation

The term represent the increase per year in the population;

0.08t

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The complete question is;

The population, in millions, of a city t years after 1990 is given by the equation P(t) = 2.9 + 0.08t. In this function, A) 0.08 million is the population of the city in 1990 and 2.9 million is the increase per year in the population. B) 2.9 million is the population of the city in 1991 and 2.98 million is the population in 1992. C) 2.9 million is the population of the city in 1990 and 0.08 million is the increase per year in the population. D) 2.9 million is the population of the city in 1990 and 0.08 million is the decrease per year in the population.

Answer: yes(800/5=160)

Step-by-step explanation:

Answer:

Yes. Any number (besides 0) that ends in 0 is dividable by 5 as well as 10.

Answer:

P = (12/27)*(11/26) = 0.188

Step-by-step explanation:

Si todos tienen la misma probabilidad de estar en cargo de presidente y vicepresidente, entonces:

La probabilidad de que una mujer sea presidente, es igual al cociente entre el número de mujeres y el número total de personas:

p = 12/27

Ahora queremos calcular lo mismo para vicepresidente, y el cálculo es exactamente igual, con la diferencia de que en esta situación, ya hay una mujer en el cargo de presidente, entonces hay 11 mujeres que pueden ser vicepresidente, y un total de: (11 + 15 = 26 personas)

Entonces ahora la probabilidad es:

q = 11/26

La probabilidad conjunta (es decir, la probabilidad de que ambos eventos pasen) es igual al producto de las probabilidades individuales.

P = (12/27)*(11/26) = 0.188

Answer:

The answer is 10

Step-by-step explanation:

Answer:

$60.42

Step-by-step explanation:

0.06 x $57 = $3.42

$57 + $3.42 = $60.42

Hope this helped! :)

Answer:

SO we have to solve this equation:

24p + 12 - 18p = 10 + 2p - 6

First, we will operate what we have in both sides:

24p - 18p + 12 = 10 - 6 + 2p

6p + 12 = 4 + 2p

We substract 2p in both sides and 12 too.

6p + 12 - 2p - 12 = 4 + 2p - 2p - 12

4p = -8

Now, we divide both sides by 4

4p/4 = -8/4

p = -2

The value of p is -2.

The correct option is (B)

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

24p +12 - 18p = 10 + 2p - 6

Now, solving for p

6p + 12= 2p + 4

6p - 2p = 4 -12

4p = -8

p= -8/4

p= -2

Hence, the value of p is -2.

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without knowing the distance between mile marker 195 and the mouth of the river, we cannot calculate the gradient along the same stretch of the Sacramento River.

The gradient along the same stretch of the Sacramento River can be calculated by finding the change in elevation divided by the distance.
Given that the interval is 115 ft and the distance is from mile marker 195 to the mouth of the river at sea level, we need to determine the total distance in miles.
To do this, we need to know the distance between mile marker 195 and the mouth of the river. Unfortunately, this information is not provided in the question.

Without knowing the specific distance, we cannot accurately calculate the gradient. Therefore, the answer cannot be determined with the information given.

In conclusion, without knowing the distance between mile marker 195 and the mouth of the river, we cannot calculate the gradient along the same stretch of the Sacramento River.

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Answer:

es la(b

Step-by-step explanation:

The town of Komani and Maletswai will be passed by Tshepo and his friends if they take N6 from Bloemfontein to East London.

The location is a national route in South Africa that connects the East London with Bloemfontein the via route of Komani and Maletswai.

The Komani is a town in the middle of the Eastern Cape Province of South Africa while the Maletswai is also a town in central South Africa on the banks of the Orange River, Eastern Cape Province of SA.

Therefore, the town of Komani and Maletswai will be passed by Tshepo and his friends if they take N6 from Bloemfontein to East London.

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Answer: A range of values, created using sample, within which population parameter has a certain probability of occurring.

Reason: E.g. P(a<x>b) = 0.95

confidence interval is A range of values, is created using a sample, within a population parameter that has a certain probability of occurring.

A sampling method's degree of certainty or uncertainty is measured by confidence intervals. In statistics, the probability that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Confidence intervals that contain either 95% or 99% of expected observations are frequently utilized by analysts. To comprehend the statistical significance of their estimates, inferences, or predictions, statisticians and other analysts employ confidence intervals.

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There are four possible echelon forms of a 2 x 3 matrix, The echelon forms of a 2 x 3 matrix can be obtained by row operations. as shown below:

1. The first echelon form is the one in which the first entry in the first row is nonzero, and the first entry in the second row is zero:
```
[1 x x]
[0 x x]
```
2. The second echelon form is the one in which the first entry in the first row is nonzero, the first entry in the second row is zero, and the second entry in the second row is nonzero:
```
[1 x x]
[0 1 x]
```
3. The third echelon form is the one in which the first entry in the first row is zero, and the first entry in the second row is nonzero:
```
[0 x x]
[1 x x]
```
4. The fourth echelon form is the one in which the first entry in the first row is zero, the first entry in the second row is zero, and the second entry in the second row is nonzero:
```
[0 0 x]
[0 1 x]
```
These are all the possible echelon forms of a 2 x 3 matrix. We know our list is complete because we have considered all the possible combinations of nonzero and zero entries in the first two positions of the first and second rows.

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Answer: y=2x-4

Step-by-step explanation:

Divide the numerator by the denominator.

When a letter like a, b, x or y pops up in a mathematical expression, it's called a variable, but really it's a placeholder that represents a number of unknown value. You can perform all the same mathematical operations on a variable that you'd perform on a known number. That fact comes in handy if the variable pops up in a fraction, where you'll need tools like multiplication, division and canceling of common factors to simplify the fraction.

Combine like terms in both the numerator and the denominator of the fraction. When you first start handling fractions with variable, this may be done for you. But later on, you might encounter "messier" fractions like the following:

(a + a) / (2_a_ - a)

When you combine like terms, you end up with a much more civilized fraction:

2_a_/a

Factor the variable out of both numerator and denominator of the fraction if you can. If the variable is a factor in both places, you can then cancel it. Consider the simplified fraction just given:

2_a_/a

As a quick aside, any time you see a variable by itself, it's understood to have a coefficient of 1. So this could also be written as:

2_a_/1_a_

Which makes it more obvious that when you cancel the common factor a from both the numerator and denominator of the fraction, you're left with the following:

2/1

Which, in turn, simplifies to the whole number 2.

What if you have a fraction like 3_a_/2? You can't factor a out of both the numerator and the denominator of the fraction, but because it's in the numerator, you can treat it as a whole number. To make sense of this, first write the fraction out thusly:

3_a_/2(1)

You can insert the 1 in the denominator thanks to the multiplicative identity property, which states that when you multiply any number by 1, the result will be the original number you started with. So you haven't changed the value of the fraction at all; you've just written it a little differently.

Next, separate the factors thusly:

a/1 × 3/2

And simplify a/1 to a. This gives you:

a × 3/2

Which can be simply written as the mixed number:

a (3/2)

What if you end up with a messy fraction like the following?

(b2 - 9) / (b + 3)

At first glance there's no easy way to factor b out of both numerator and denominator. Yes, b is present in both places, but you'd have to factor it out of the entire term in both places, which would give you the even messier b(b - 9/b) in the numerator and b(1 + 3/b) in the denominator. That's a dead end.

But if you've been paying attention in your other lessons, you might notice that the numerator can actually be rewritten as (b2 - 32), also known as "the difference of squares," because you're subtracting one squared number from another squared number. And there's a special formula that you can memorize to factor the difference of squares. Using that formula, you can rewrite the numerator as follows:

(b - 3)(b + 3)

Now, take a look at that in the context of the entire fraction:

(b - 3)(b + 3) / (b + 3)

Thanks to that standard formula you either memorized or looked up, you now have the identical factor (b + 3) in both the numerator and the denominator of your fraction. Once you cancel that factor, you're left with the following fraction:

(b - 3) / 1

Which simplifies to just:

(b - 3)

Answer:

slope  =  1

Slope-intercept form: y = 1x + 4

Step-by-step explanation:

Hope this helps!

The number that can be added to w to produce z is 0!

The expressions are given as:

w = 1 + i

z = 1 + i

Both numbers are the same.

This means that:

w = z

It can be rewritten as:

w + 0! = z

Hence, the number that can be added to w to produce z is 0!

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Answer:

I think its 70.4 I already answerd this

Step-by-step explanation:

The statement "u - 9/22 can be rational or irrational, depending on the value of u" is true.

Let's assume that u is an irrational number. An irrational number is a real number that cannot be expressed as a fraction of two integers. When we subtract a rational number, such as 9/22, from an irrational number, the result may or may not be rational.

In general, when subtracting a rational number from an irrational number, the result can still be irrational. This is because the irrationality of u is not affected by the subtraction of a rational number. The irrationality arises from the inability to express u as a fraction of two integers, and subtracting a rational number does not change this fundamental property.

However, there is a possibility that u could be a specific irrational number for which the subtraction of 9/22 results in a rational number. In this case, u - 9/22 would be rational. This scenario is possible if the specific value of u cancels out with 9/22 in such a way that the result becomes a rational number.

Therefore, without knowing the exact value of u, we cannot definitively determine whether u - 9/22 is rational or irrational. It depends on the specific value of u.

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Answer:

D) undefined

Step-by-step explanation:

we would like to simplify the following

\( \displaystyle \sec \left( \frac{\pi}{2} \right) \)

remember that, sec is the recipocal of cos

so,

\( \displaystyle \frac{1}{\cos \left( \frac{\pi}{2} \right) }\)

by unit circle we acquire

\( \displaystyle \frac{1}{0}\)

remember that, dividing by 0 is undefined

hence,

\( \displaystyle \sec \left( \frac{\pi}{2} \right) =\rm undefined \)

The number of hours that Larissa's family will drive is given as follows:

66 hours.

The number of hours that Larissa's family will drive is obtained applying the proportions in the context of the problem.

The map calculates drive time with no stops to be 2 3/4 days, hence the number of hours is obtained as follows, considering that each day is composed by 24 hours:

Then the number of hours that Larissa's family will drive is obtained as follows:

48 + 18 = 66 hours.

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if she shifted all of her money market investments to cash, she might have done that because there is: no withdrawal fee on a low-risk account.

A part of the economy that offers short-term funds is the money market. The money market specialises in short-term loans, typically with terms of a year or less.

The money market emerged as a segment of the financial market for assets used in short-term borrowing, lending, buying, and selling with original maturities of one year or less as short-term securities turned into a commodity. Money market trading is done over the counter and is wholesale.

The majority of Western nations use a variety of money market instruments, including federal funds, short-term mortgage- and asset-backed securities, commercial paper, banker's acceptances, deposits, certificates of deposit, bills of exchange, and treasury bills.

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Answer:

  the number of faces of a cube

Step-by-step explanation:

For an edge length of s, the area of one face of a cube is s^2. The area of all six faces of the cube, the total surface area, is 6s^2. The number 6 represents the number of congruent faces of a cube.

Answer:  the number of faces on the box

Step-by-step explanation:

Answer:

740 g box for $4.88, hope this helps