Lines q, r, s, and t are distinct lines in the same
plane. Decide if lines q and t
are parallel, perpendicular, or if there is not
enough information given.
q Ir, ris,
ris, sit
A. parallel
B. perpendicular
C. not enough information

Answer: number name = 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Step-by-step explanation:

To write the number name and expanded form for the number of driver ants that could be in two colonies.

Given: Up to 22,000,000 driver of ants can live in a single colony

Since 1, 000, 000 =1 million

So 22,000,000= 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Hence, number name = 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Line graphs are effective for displaying trends and patterns over time. They are suitable for showing continuous data and allow for easy comparison between multiple variables.

Line graphs provide a visual representation of how values change over a specific time period, making it useful for analyzing trends and making forecasts. However, line graphs may not be suitable for displaying categorical or discrete data, as they primarily focus on the relationship between variables over time.

Bar graphs are useful for comparing data across different categories or groups. They present data in a clear and concise manner, allowing for easy identification of differences between categories. Bar graphs are particularly effective in displaying discrete or categorical data, as each category is represented by a separate bar. However, bar graphs may not be suitable for displaying trends over time or for representing continuous data.

Cumulative records provide a visual representation of the accumulation of data over time. They are commonly used in finance and accounting to track cumulative changes in variables such as revenue or profit. Cumulative records allow for easy identification of cumulative growth or decline, but they may not be suitable for analyzing specific data points or trends within specific time periods.

Ratio charts are used to compare the relationship between two variables. They provide a visual representation of how one variable changes in relation to another. Ratio charts can be effective in identifying patterns or correlations between variables, particularly when plotting data points as a scatterplot along a ratio line. However, ratio charts may not provide a comprehensive view of the data and may require additional analysis to interpret the relationship accurately.

Scatterplots are used to display the relationship between two continuous variables. They are particularly useful for identifying correlations or patterns between variables and determining the strength and direction of the relationship. Scatterplots allow for the identification of outliers and clusters within the data. However, scatterplots may not be suitable for displaying categorical or discrete data, and they may not provide a clear representation of the overall data distribution.

Line graphs are suitable for analyzing trends over time, bar graphs are effective for comparing data across categories, cumulative records track cumulative changes, ratio charts compare the relationship between two variables, and scatterplots display the relationship between two continuous variables. Each visual format has its strengths and limitations, and the appropriate choice depends on the nature of the data and the specific analysis or comparison being made.

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Hope you could understand.

If you have any query, feel free to ask.

The ratio of the number of students who joined the class to the number of students who were initially in the class is 2:1.

Age ratio refers to the comparison of the number of individuals in different age groups in a population. It is often expressed as a ratio or percentage of the number of people in a particular age group to the total population or the number of people in another age group.

Given by the question.

Now, when the group of students with an average age of 16 years joins the class, the average age of all the students becomes 17 years. This means that the total age of all the students in the class would now be 17 times the total number of students.

Let "y" be the number of students who joined the class. Then, the total number of students in the class after they joined would be x + y.

So, we have two equations:

18x = 17(x+y) (because the total age of all the students remains the same before and after the group joins)

16y = (x+y)*1 (because the average age of the new group is 16)

Simplifying the above equations, we get:

x = 17y

x = 34y

Equating both the equations, we get:

17y = 34y

y = 2

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Answer:

12 miles

Step-by-step explanation:

1/3 of an hour = 20 minutes = 4 miles

1 minute = 4/20 miles

60 minutes = 4/20 x 60 miles

                   = 4 x 3 miles

                   = 12 miles

60 minutes = 1 hour

=> 1 hour = 12 miles

Jacks unit rate is 12 miles/hr

Answer:

12

Step-by-step explanation:

There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round

4/0.333333333 = 12.000000001

The answer is obviously meant to be 12.

The other way is more sophisticated, but more accurate.

4/1 // 1/3               This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.

4/1 * 3/1 = 12

The first method is easier to understand. The second is more accurate and more useful for physics.

The most reasonable domain of the function C = 4ⁿ is all positive integers, which is answer choice (c) i.e. all whole numbers .

A function is a mathematical object that takes one or more inputs, performs a specified operation on them, and produces an output.

The inputs to a function are called the domain, and the outputs are called the range.

An equation, a graph, or a table can all be used to depict a function.

The function that represents the number of new coins the jester receives on the n-th day after January 1 is given by C = 4ⁿ.

Since n represents the number of days after January 1, it is most reasonable to assume that n is a positive integer, because it doesn't make sense to talk about a negative or fractional number of days in this context.

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The complete question is given below.

If we share $60 in the ratio 3:1, then each person will get is $45 and $15 respectively

Given,

The total amount = $60

The ratio = 3:1

Then the amount given to first person = 3x

The amount given to the second person = x

Given that the total amount is 60

Then  the equation will become

x+3x=60

4x=60

x=\(\frac{60}{4}\)

x=15

The amount given to the first person = 3x

Substitute the value of x in the equation

The amount given to the first person =3x

=3×15

= $45

The amount given to the second person =x

= $15

Hence, if we share $60 in the ratio 3:1, then each person will get is $45 and $15 respectively

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Answer:2.43

Step-by-step explanation:

Answer:

Pasos para resolver una ecuación lineal

x⋅−0.9+1.1=−5.19

Resta 1.1 en los dos lados.

x(−0.9)=−5.19−1.1

Resta 1.1 de −5.19 para obtener −6.29.

x(−0.9)=−6.29

Divide los dos lados por −0.9.

x=

−0.9

−6.29

​

Expanda  

−0.9

−6.29

​

 multiplicando el numerador y el denominador por 100.

x=

−90

−629

​

La fracción  

−90

−629

​

 se puede simplificar a  

90

629

​

 quitando el signo negativo del numerador y el denominador.

x=

90

629

Step-by-step explanation:

Answer:

1,320 liters

Step-by-step explanation:

First, I multiplied 22 times 60 minutes, because that is how long an hour is, and when you multiply you get 1,320. I hope this helps :)

awnser:

1320?

Step-by-step explanation:

Answer:

5x5x5x5

Step-by-step explanation:

The expression that has the same value as \(5^4\) is 25² or 625.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

We have \(5^4\).

Usually exponents can be expand using the number the power is raised.

As, if we have 9³ then it means 9 is multiplies by itself three times.

So, 9³ = 9 x 9 x 9= 729

Now, we have to expand  \(5^4\) as

= 5 x 5 x 5 x 5

= 5² x 5²

= 25 x 25

= 25²

= 625

So, the Equivalent value to  \(5^4\) is 25² or or 5² x 5² or 625.

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Answer:

It would become 12x+36

Answer:

12x+36

Step-by-step explanation:

Multiply the parts in parentheses by 12

Answer:

They are not congruent based on the drawing. I don't know what they mean by "do they have to be congruent?", as they don't have to be congruent unless the teacher is asking for them to be congruent.

Step-by-step explanation:

Congruency in geometry is defined as identical in form, meaning that it must follow CPCTC (and can be proven in many different ways).

In the case of the given triangles they are not congruent, as DE and AD do not share congruency with BA and CB, respectively. At best, the two given triangles are similar triangles, as ΔADE is a 2x scale factor of ΔCBA.

I am not sure what the question about "do they have to be congruent" is for. Obviously they aren't congruent and so they don't have to be? There is nothing that states they have to be congruent. If you are aiming for congruency, lines AB & CB's measurements would simply have to match that of ED & AD, respectively.

~

Answer:

The relationship we found is that:

But this doesn't indicate the triangles are congruent. They have different side lengths which makes them similar but not congruent.

They can be congruent if corresponding sides are of same length.

Car insurance for an 18-year-old typically ranges from $200 to $400 per month.

The cost of car insurance for an 18-year-old can vary significantly depending on various factors. Young drivers, especially those with limited driving experience, are generally considered higher risk by insurance companies, which leads to higher premiums. Insurance providers take into account factors such as the driver's age, gender, location, type of vehicle, driving record, and credit history. Additionally, factors like the level of coverage and deductibles chosen, as well as discounts available, can also impact the cost. It's important for young drivers to shop around and compare quotes from different insurance companies to find the best coverage options at the most affordable rates. Additionally, taking driver's education courses and maintaining a clean driving record can help in reducing insurance costs over time.

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What is the average monthly cost of car insurance for an 18-year-old?

Answer:

60 degrees

Step-by-step explanation:

This is a complementary angle, so the equation to use is 30+x=90.

To find out what x is, we have to use the Subtraction Property of Equality.

30+x=90

-30     -30

       x=60

The linear function for this problem is defined as follows:

y = -3x/4 + 3.

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

y = mx + b

In which:

The graph crosses the y-axis at y = 3, hence the intercept b is given as follows:

b = 3.

When x increases by 4, y decays by 3, hence the slope m is given as follows:

m = -3/4.

Hence the function is given as follows:

y = -3x/4 + 3.

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Answer:

10: the son is 12

11. W = 12.5 inches    L: 37.5 inches

12.  25 hours at his weekday job and 15 hours at his weekend job.

hope you got 13 right! Also I don't really have a step-by-step explanation I kinda just did them in my head so be careful with them. Good Luck!  

Step-by-step explanation:

:P

Answer:

Plan A last for 30 minutes

Plan B last for 45 minutes

Step-by-step explanation:

There are two plans:

Plan A

Plan B

Monday

Plan A=3 clients

Plan B=2 clients

Total hours=3

Tuesday

Plan A=5 clients

Plan B=6 clients

Total hours=7

The equation for the unknown

3A + 2B=3 (1)

5A + 6B=7 (2)

Multiply (1) by 3 and (2) by (1)

9A + 6B=9 (3)

5A + 6B=7 (4)

Subtract (4) from (3)

4A=2

Divide both sides by 4

4A/4 = 2/4

A=1/2 hours

Substitute A=1/2 into (1)

3A + 2B=3

3(1/2) +2B=3

3/2 + 2B=3

2B= 3 - 3/2

2B= 6-3/2

2B=3/2

Divide both sides by 2

B=3/2÷2

=3/2×1/2

B=3/4 hours

A=1/2 hours

B=3/4 hours

60 minutes=1 hour

A=1/2 hours

1/2 × 60 minutes

=60/2

=30 minutes

B=3/4 hours

=3/4×60 minutes

=180/4

=45 minutes

Plan A last for 30 minutes

Plan B last for 45 minutes

Looking at the diagram, A'B'C'D' is a reflection of ABCD across the x axis. We can see that the coordinate of B is (- 2, 6) and that of B' is (- 2 - 6). This conforms with the rule that when a figure is reflected across the x axis, the sign of the y coordinate changes.

For A'B'C'D' to A"B"C"D", we can see that the coordinate of B" is (6, - 2). This conforms with the rule of 90 degrees counterclocwise rotation which states that a coordinate, (x, y) becomes (- y, x). By applying this to B', it becomes (- - 6, - 2) = (6, - 2)

We can see that it corresponds, Therefore, the series of transformation are

ABCD to A'B'C'D' Reflection across the x axis

A'B'C'D' to A"B"C"D" 90 degrees counterclockwise rotation about the origin

Answer:

A=πr(r+h2+r2)

Step-by-step explanation:

literally just search it up

Answer:

the new area is 1% smaller.

Step-by-step explanation:

the area of a rectangle is length times breadth.

let's call them a and b

Area = a × b

now, a is increased by 10%. that means it is multiplied by 11/10.

because 100% means the whole thing, 1% means a 1/100th part of the whole. and 10% then means 10 times the 1/100th part of 10 × 1/100 = 10/100 = 1/10

if then simmering increases by 10% it means that it is the original 100% plus 10%.

so, it is 100/100 + 10/100 = 10/10 + 1/10 = 11/10

therefore the new length is

a(new) = a(old)×11/10

in exactly the same way, when the breadth is reduced by 10% we get then

breadth(new) = breadth(old)×9/10

so, Area(new) = a(new)×b(new) = a(old)×11/10 × b(old)×9/10

remember, Area(old) = a(old)×b(old)

so, Area(new) = a(old)×b(old) × 11/10 × 9/10 =

= Area(old) × 11/10 × 9/10 =

= Area(old) × 99/100

that means the new area has lost compared to the old area 1/100th of its size. 1/100th = 1%

Answer:

the slope is 4/1 because it's 4x and the y intercept is -4

Answer:

slope: 4

y intercept: -4

Step-by-step explanation:

the equation you're given is in y = mx + b format

the "b" in the equation is the y intercept

the x and y are the variables

and the "m" is the slope

so in this case, the "m" would be 4 because it is the number right next to x

the -4 would be the "b" in this because it is after the "y=" and does not have a variable

Answer:

1,120

Step-by-step explanation:

The sample means a distribution from this population will be right-skewed for all conceivable random samples of size 10.

So, in the situation where, home prices in the US are heavily skewed to the right, with a mean price of $383,500 and a standard deviation of $289,321.

For all conceivable random samples of size 10 from this population, the sample means distribution will have a right-skewed form.

Therefore, the sample means a distribution from this population will be right-skewed for all conceivable random samples of size 10.

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Answer:

5668.3

Step-by-step explanation:

The problem can be represented as a right angled triangle as shown below.

The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.

The altitude of the balloon is 2999 feet. (opposite)

Using trigonometric function, SOHCAHTOA, we can solve this:

\(sin(34) = \frac{opposite}{hypotenuse}\\ \\sin(34) = \frac{altitude}{distance}\\\\sin(34) = \frac{2999}{distance}\\\\distance = \frac{2999}{sin34}\\\\distance = 5668.3 feet\)

The pilot is 5668.3 feet far away from the house.

The level of sound at this point in the audience is approximately 96.02 decibels.

To find the level of sound at a point in the audience, we can use the given formula L = 10 log(I x 10^12), where I is the intensity of the sound in watts per square meter.

Given that the intensity of the sound at a rock concert is 0.004 watts per square meter at a distance of 76 meters from the stage, we can substitute this value into the formula:

L = 10 log(0.004 x 10^12)

First, we simplify the expression inside the logarithm:

0.004 x 10^12 = 4 x 10^9

Then we substitute this value back into the formula:

L = 10 log(4 x 10^9)

Using logarithmic properties, we can simplify further:

L = 10(log 4 + log 10^9)

Since log 10^9 equals 9, we have:

L = 10(log 4 + 9)

Calculating the logarithm and adding:

L = 10(0.602 + 9)

L = 10(9.602)

L ≈ 96.02 dB

Therefore, the level of sound at this point in the audience is approximately 96.02 decibels.

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Answer:

5/6 x 48 = 5 x 8=40

Step-by-step explanation:

Pls mark as brainliest

Answer:

40

Step-by-step explanation:

\( \frac{5}{6} \times 48 \\ \frac{5 \times 48}{6} \\ \frac{240}{6} = 40\)

Answer: 4b+2

Step-by-step

(7b+1)-(3b-1)

7b+1-3b+1

4b+2

When (7b -1) - (3b - 1) is substrate then final value will be 4b.

Answer is 4b and correct option is a.

Subtraction would be the operation as well as process of determining the difference among two numbers or quantities. Subtracting one amount from another is however known as 'taking one number aside from another'.

Here given that,

(7b-1)-(3b-1)

we need to subtraction , so first we need to open brackets,

7b-1-3b+1= 4b

7b-3b will be equal to 4b.

so  got the answer 4b and option a is correct according to this answer.

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Answer:

B

Step-by-step explanation:

Answer:

B= <B

Step-by-step explanation:

The lines indicate the congruence, <G and <C both have the two lines