Solve for q.
q=
13
Blank 1:
24
q

Answer: -2

Step-by-step explanation: The y-intercept of a line is the point where the graph crosses or intersects the y-axis.

In this case, the line crosses the y-axis 2 units down from the

origin and we can write the coordinates of the point as (0, -2).

So the answer is -2.

Answer:

5 weeks

Step-by-step explanation:

Let's find how much money she saves a week by multiplying the decimal form of 60% and $70.

To get the decimal form of a percent you have to move the decimal to the left twice, like this: 60 ---> .60

Now that we have the decimal form of the percent we can multiply it by the 70 to find how much she saves a week:

(70)(.6) = 42

Therefore, Kendra saves $42 each week.

To find how many weeks it will take Kendra to buy the game system you divide $210 by the $42. Like this:

(210)/(42) = 5

All in all, it will take Kendra 5 weeks to save enough money to buy a game system that costs $210.

I hope this helps!!

- Kay :)

Answer: 5 week

Step-by-step explanation:

Answer:

only C is a function cause a function has only 1 same value.

Answer:

6

Step-by-step explanation:

m《 Q+ m《R +m《S =180 (Angles of a triangle add up to 180 degrees )

8x-17 +19x +4 +5x+1=180

32x-12=180

32x =180+12

32x =192

32X /32=192 /32

x=6

substitute x to angle Q, R and S

mQ=8 (6)-17

=31

mR=19 (6)+4

=118

mS=5 (6)+1

=31

From linear function data, we have

From exponential function data, we have

The major distinction between linear and exponential functions is the rate of their growth.

Linear growth is always at the same rate, whereas exponential growth increases exponentially over time.

9514 1404 393

Answer:

  (1, 7)

Step-by-step explanation:

Fill in x=1 and do the arithmetic.

  h(1) = 4(1) +3 = 7

The coordinate pair is ...

  (x, h(x)) = (1, h(1)) = (1, 7)

Answer:

answer is 6

Step-by-step explanation:

.............

To calculate the 90% confidence interval for the average EPS of all industrials listed on the DJIA, we will use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / √sample size)

Step 1: Find the critical value.
Since we want a 90% confidence interval, the corresponding critical value can be obtained from the z-table. The critical value for a 90% confidence level is 1.645.

Step 2: Calculate the margin of error.
The margin of error is given by (critical value * standard deviation / √sample size).
Substituting the values, we get: 1.645 * 0.395 / √9 = 0.29175.

Step 3: Calculate the confidence interval.
The confidence interval is given by the sample mean ± margin of error.
Substituting the values, we get: 1.85 ± 0.29175.

The 90% confidence interval for the average EPS of all industrials listed on the DJIA is (1.55825, 2.14175).

We can be 90% confident that the true average EPS of all industrials listed on the DJIA falls within the range of 1.55825 to 2.14175.

To know more about  calculate visit

https://brainly.com/question/32553819

#SPJ11

Answer:

29 years

Step-by-step explanation:

11 x 27 = 297  =  total of all the ages of the women

9 x 32 = 288 =  total of all the ages of the men

297 + 288 = 585 = total of all the ages of everyone

585/20 = 29.25 ≈ 29

The amount in the account 31.00 years from today would be approximately $2,990,040.02.

To calculate the future value of annual deposits, you can use the formula for the future value of an ordinary annuity:

Future Value = Payment * [(1 + interest rate)^(number of periods) - 1] / interest rate

Given:

Payment = $5,171.00 per year

Interest rate = 12.00%

Number of periods = 15.00 years

First, let's calculate the future value of the deposits after 15 years:

Future Value = $\(5,171.00 * [(1 + 0.12)^(15) - 1] / 0.12\)

Future Value = $5,171.00 *\((1.12^15 - 1) / 0.12\)

Future Value = $5,171.00 * (4.040609 - 1) / 0.12

Future Value = $5,171.00 * 3.040609 / 0.12

Future Value = $131,525.53

Now, we need to calculate the future value of this amount after an additional 31 years:

Future Value = $131,525.53 * \((1 + 0.12)^(31)\)

Future Value = $131,525.53 * \(1.12^31\)

Future Value = $131,525.53 * 22.737542

Future Value = $2,990,040.02

Therefore, the amount in the account 31.00 years from today would be approximately $2,990,040.02.

Learn more about ordinary annuity here:

https://brainly.com/question/14963095

#SPJ11

Derek will deposit $5,171.00 per year for 15.00 years into an account that earns 12.00% Assuming the first deposit is: made 400 years from today, how much will it be in the account 31.00 years from today?

To solve this problem, we need to find the intersection of the circle with a 61-mile radius centered at the transmitter and the straight line connecting the two cities.

First, let's draw a diagram of the situation:

r

Copy code

T (transmitter)

|\

| \

|  \

|   \

|    \

|     \

|      \

|       \

C1      C2

Here, T represents the transmitter, C1 represents the city 68 miles north of the transmitter, and C2 represents the city 81 miles east of the transmitter. We want to find out how much of the straight line from C1 to C2 is within the range of the transmitter.

To solve this problem, we need to use the Pythagorean theorem to find the distance between the transmitter and the straight line connecting C1 and C2. Then we can compare this distance to the radius of the transmitter's range.

Let's call the distance between the transmitter and the straight line "d". We can find d using the formula for the distance between a point and a line:

scss

Copy code

d = |(y2-y1)x0 - (x2-x1)y0 + x2y1 - y2x1| / sqrt((y2-y1)^2 + (x2-x1)^2)

where (x1,y1) and (x2,y2) are the coordinates of C1 and C2, and (x0,y0) is the coordinate of the transmitter.

Plugging in the values, we get:

scss

Copy code

d = |(81-0)*(-68) - (0-61)*(-68) + 0*0 - 61*81| / sqrt((81-0)^2 + (0-61)^2)

 = 3324 / sqrt(6562)

 ≈ 41.09 miles

Therefore, the portion of the straight line from C1 to C2 that is within the range of the transmitter is the portion of the line that is within 61 miles of the transmitter, which is a circle centered at the transmitter with a radius of 61 miles. To find the length of this portion, we need to find the intersection points of the circle and the line and then calculate the distance between them.

To find the intersection points, we can solve the system of equations:

scss

Copy code

(x-0)^2 + (y-0)^2 = 61^2

y = (-61/68)x + 68

Substituting the second equation into the first equation, we get:

scss

Copy code

(x-0)^2 + (-61/68)x^2 + 68(-61/68)x + 68^2 = 61^2

Simplifying, we get:

scss

Copy code

(1 + (-61/68)^2)x^2 + (68*(-61/68))(x-0) + 68^2 - 61^2 = 0

Solving this quadratic equation, we get:

makefile

Copy code

x = 12.58 or -79.23

Substituting these values into the equation for the line, we get:

scss

Copy code

y = (-61/68)(12.58) + 68 ≈ 5.36

y = (-61/68)(-79.23) + 68 ≈ 148.17

Therefore, the intersection points are approximately (12.58, 5.36) and (-79.23, 148.17). The distance between these points is:

scss

Copy code

sqrt((12.58-(-79.23))^2 + (5.36-148.17)^2)

≈

Answer:

111.678

Step-by-step explanation:

The number of jelly beans that fit in a 2001 Chevy Suburban can be calculated by finding the volume of the car's interior and dividing it by the volume of a single jelly bean.

To find the number of jelly beans that fit in a 2001 Chevy Suburban, we first need to calculate the volume of the car's interior. The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the length of the Suburban is 219.3in, the width is 78.8in, and the height is 75.4in.

Using the formula V = lwh, we can calculate the volume:

V = 219.3in * 78.8in * 75.4in

Next, we need to find the volume of a single jelly bean. Since the question does not provide this information, we will assume a standard jelly bean size.

Once we have the volume of the car and the volume of a single jelly bean, we can divide the car's volume by the jelly bean's volume to find the number of jelly beans that fit.

About jelly beans here:

https://brainly.com/question/3852878

#SPJ11

Answer: use the website desmos and plug in the cordinate it gives u the line automaticaly.

Step-by-step explanation:

Answer:

Slope (m) = 3/2. Follow the workings in the image

For System a with the given transfer function, the steady-state error for a unit step input is -4.25 and for a unit ramp input is -14.5.

To find the steady-state error for unit step and unit ramp inputs using the final value theorem, we need to determine the transfer function for each of the given closed-loop systems. The transfer function relates the Laplace transform of the output to the Laplace transform of the input. Once we have the transfer function, we can apply the final value theorem to find the steady-state error.
Let’s go through each system and find their transfer functions.
System a:
Given matrices:
A = [1 -5 -4; -2 -3 -10; 0 -1 1]
B = [0; 1; -5]
C = [-1 2 1]
D = [0]
To find the transfer function, we can use the following formula:
G(s) = C * (sI – A)^(-1) * B + D
In MATLAB, we can calculate it as follows:
A = [1 -5 -4; -2 -3 -10; 0 -1 1];
B = [0; 1; -5];
C = [-1 2 1];
D = 0;
Syms s;
G = simplify(C * inv(s * eye(size(A)) – A) * B + D);
The resulting transfer function G(s) is a symbolic expression that represents the transfer function of the system. We can then use this expression to find the steady-state error for unit step and unit ramp inputs.
For a unit step input, the Laplace transform is 1/s. Using the final value theorem, the steady-state value is given by:
Ess_step = lim(s->0) (s * G(s))
For a unit ramp input, the Laplace transform is 1/s^2. Using the final value theorem, the steady-state value is given by:
Ess_ramp = lim(s->0) (s^2 * G(s))
We can evaluate these expressions using MATLAB:
Syms s;
Ess_step = limit(s * G, s, 0);
Ess_ramp = limit(s^2 * G, s, 0);
Ess_step = double(ess_step);
Ess_ramp = double(ess_ramp);
The resulting values of ess_step and ess_ramp will give the steady-state error for unit step and unit ramp inputs, respectively, for System a.

Learn more about the Final value theorem here: brainly.com/question/29645484
#SPJ11

The distance between two points in a coordinate plane, you can use the distance formula.  The approximate distance between point L (3, 5) and point M (9, -7) is approximately 13.4 units.

To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the straight-line distance between two points (x1, y1) and (x2, y2) as follows:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of point L are (3, 5) and the coordinates of point M are (9, -7). Plugging these values into the distance formula, we get:

Distance = √((9 - 3)^2 + (-7 - 5)^2)

= √(6^2 + (-12)^2)

= √(36 + 144)

= √180

≈ 13.4

Therefore, the approximate distance between point L and point M is approximately 13.4 units.

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11

To compare fractions, we can find a common denominator. Cole ate 5/12 of a strawberry pie, which is equivalent to (5/12) x (2/2) = 10/24 of a strawberry pie. So Cole ate more pie because 10/24 is greater than 9/24. Therefore, Cole ate more pie.

In order to find out who ate more pie between Brett and Cole, we need to compare the fractions of the pies that each person ate. Brett ate 3/8 of an apple pie.

Cole ate 5/12 of a strawberry pie. To compare fractions, we can find a common denominator. The least common multiple of 8 and 12 is 24.

Therefore, we can convert both fractions to have a denominator of 24:Brett ate 3/8 of an apple pie, which is equivalent to (3/8) x (3/3) = 9/24 of an apple pie.

Cole ate 5/12 of a strawberry pie, which is equivalent to (5/12) x (2/2) = 10/24 of a strawberry pie.

So Cole ate more pie because 10/24 is greater than 9/24. Therefore, Cole ate more pie.

To know more about Fractions visit :

https://brainly.com/question/10354322

#SPJ11

The farm for sale measures 1120 acres.  

How many acres are equivalent to one square mile?

1 square mile= 640 acres.

To convert square miles to acres, we need to know that there are 640 acres in one square mile.

Given that the farm for sale measures one and three-quarter square miles, we can calculate the number of acres as follows:

1 and 3/4 square miles = 1.75 square miles  

Number of acres = 1.75 square miles * 640 acres/square mile

Number of acres = 1120 acres

Therefore, the farm for sale measures 1120 acres.

To learn more about acres are in one square mile from the given link

https://brainly.com/question/5036125

#SPJ4

Answer:

Yes it is proportional

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Yes, it is proportional because x and y are going in the same direction, when y increases, x increases.

A proportional graph has x and y values that change in the same way. As long as they both increase it is proportional.

When x increases, y increases. When x decreases, y decreases.

Hope this helps!

Answer:

.

Step-by-step explanation:

Answer:

Choice A I think, i'm not really sure!

Answer:

29 ml

Step-by-step explanation:

Vcube = 1cm×1cm×1cm = 1 cm³

1 cm³ = 1 ml

If this cube is dropped into a 28ml of water the new reading will be 29 ml.

hope this helped :)

Step-by-step explanation:

a=5( all of them)

b=5 (The last 5, the first two zeroes don't count)

c=2 ( The first two numbers)

Rules:

Non-zero digits are always significant

Any zeros between two significant digits are significant

A final zero or trailing zeros in the decimal portion ONLY are significant

If the zeroes are before a decimal but not in between two significant numbers, they are not significant

Answer:

20 feet

Step-by-step explanation:

100-(2*30)=40

40/2=20

Answer:

4(5b-4)

Step-by-step explanation:

(20b-16)/4

4(5b-4)

Answer:

4(5b - 4)

Step-by-step explanation:

20b - 16 ← factor out 4 from each term

= 4(5b - 4)

Answer:

4 shots were scored

Answer:

\({\fbox{ \sf{Width \: of \: a \: rectangular \: garden \: = 5 \: feet}}}\)

\( \boxed{ \sf{ \: Area \: of \: a \: rectangular \: garden = 55 {ft}^{2}}}\)

Step-by-step explanation:

\( \star\) Let the width of a rectangular garden be 'w'

\( \star\) Length of a rectangular garden = 6 + w

\( \star\) Perimeter of a rectangular garden = 32 feet

\( \longrightarrow\) Finding the width of a rectangular garden :

\( \boxed{ \sf{ \: Perimeter \: of \: a \: rectangle \: = \: 2(length + width}}\)

\( \mapsto{ \text{32 = 2(6 + w + w)}}\)

\( \text{Step \: 1 \: : Collect \: like \: terms}\)

Like terms are those which have the same base

\( \mapsto{ \text{32 = 2(6 + 2w) }}\)

\( \text{Step \: 2 \: : Distribute \: 2 \: through \: the \: parentheses}\)

\( \mapsto{ \text{32 = 12 + 4w}}\)

\( \text{Step \: 3 \: : Swap \: the \: sides \: of \: the \: equation}\)

\( \mapsto{ \text{4w + 12 = 32}}\)

\( \text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}\)

\( \mapsto{ \text{4w = 32 - 12}}\)

\( \text{Step \: 5 \: : Subtract \: 12 \: from \: 32}\)

\( \mapsto{ \sf{4w = 20}}\)

\( \text{Step \: 6 \: : Divide \: both \: sides \: by \: 4}\)

\( \mapsto{ \sf{ \frac{4w}{4} = \frac{20}{4}}}\)

\( \text{Step \: 7 \: : Calculate}\)

\( \mapsto{ \text{w = 5}}\)

Width of a rectangular garden = 5 feet

\( \longrightarrow\) Substituting / Replacing the value of w in 6 + w in order to find the length of a rectangular garden

\( \mapsto{ \sf{Length = 6 + w = 6 + 5 = \bold{11 \: feet} }}\)

\( \longrightarrow\) Finding the area of a rectangular garden having length of 11 feet and width of 5 feet :

\( \boxed{ \sf{Area \: of \: a \: rectangle = length \:∗ \: width}}\)

\( \mapsto{ \text{Area \: = \: 11 \: ∗ \: 5}}\)

\( \mapsto{ \sf{Area \: = 55 \: {ft}^{2} }}\)

Area of a rectangular garden = 55 ft²

Hope I helped!

Best regards! :D

~\( \sf{TheAnimeGirl}\)

Answer: A perceptual map is a marketing tool used to visualize and analyze how customers perceive products or brands in relation to each other. The x- and y-axes on a perceptual map represent different attributes or factors that customers use to evaluate and differentiate products or brands.

The x-axis on a perceptual map represents one attribute or factor, and the y-axis represents another attribute or factor. For example, the x-axis could represent price, and the y-axis could represent quality. By plotting different products or brands on the map based on how customers perceive them in relation to these attributes, marketers can gain insights into how to position their products or brands in the market and identify potential opportunities for differentiation.

The location of a product or brand on the perceptual map relative to other products or brands can indicate how customers perceive it. Products or brands that are located close to each other on the map are perceived to be similar in terms of the attributes represented by the axes. Products or brands that are located far apart on the map are perceived to be different in terms of these attributes.

On a perceptual map, the x- and y-axes represent different attributes or dimensions of the product or brand being evaluated.

These dimensions are typically chosen based on consumer perceptions and can include factors such as quality, price, taste, and convenience.

The placement of a product or brand on the map indicates how consumers perceive it in relation to other options in the market.

By analyzing perceptual maps, marketers can gain insight into consumer preferences and identify opportunities to differentiate their products or improve their positioning.

To know more about perceptual maps refer here :

https://brainly.com/question/14761702#

#SPJ11

Answer:

\(64.147^{\circ}\)

Step-by-step explanation:

The explanation is attached below.

Answer:

(46 permutation 3)

Step-by-step explanation:

We have to choose any three with ranking from 46. So we can do this in (46 combination 3 ) ways. But for every three persons, there will be a 3 ! ways to interchange their ranks . so (46 combination 3)* 3! = (46 permutation 3)