Angle 1 and Angle 2 are vertical angles. If m<1 = (7x - 21)° and m<2 = (-5x + 75)°, what is m<1?

Answer:

\(\huge\boxed{\sf x = 85}\)

Step-by-step explanation:

0.2x - 6 = 11

0.2x = 11 + 6

0.2x = 17

x = 17/0.2

\(\rule[225]{225}{2}\)

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \purple {━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

hope it helps!

Answer:

25 :) hope this helps you

:v

An inverse relationship can not direct.

We know that an inverse proportion represents inverse or indirect relation between two quantities.

In inverse relationship, one value increases while the other value decreases, and vice versa.

But in case of direct relationship, if one quantity increases , the other quantity also increases, and  if one quantity decreases , the other quantity also decreases.

When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity  'n' decreases, and vice versa.

Also, an inverse relationship always has a negative slope.

Learn more about inverse proportional relations here:

brainly.com/question/1266676

#SPJ4

Therefore, 4 1/2 million yen is equal to $40,988.24 in US dollars.

To convert 4 1/2 million yen into US dollars, we need to know the current exchange rate. As of July 29, 2021, 1 US dollar is equivalent to 109.78 Japanese yen. Therefore, 4 1/2 million yen is equal to $40,988.24 in US dollars.
Explanation:
To convert yen into US dollars, we need to know the current exchange rate. As of July 29, 2021, 1 US dollar is equivalent to 109.78 Japanese yen. Therefore, we can convert 4 1/2 million yen into US dollars by dividing 4,500,000 by 109.78, which gives us $40,988.24. $40,988.24 in US dollars.

Therefore, 4 1/2 million yen is equal to $40,988.24 in US dollars.

To know more about the rate visit:

https://brainly.com/question/119866

#SPJ11

Answer:

8

Step-by-step explanation:

\( |15 - 23| = | - 8| = 8\)

This can be seen by using the chain rule, where the derivative of cscx can be written as d/dx(cscx) = d/dx(1/sinx) = (−1/sinx)(cosx) = (−1/sinx)(−cotx) =−cscxcotx.

The attempt to derive the derivative of cscx is as follows:

(cscx)(−cotx) = −cscxcotx

(cscx)' = (−cscxcotx)'

= (−cscx)'(cotx) + (−cotx)'(cscx)

= (−cscx)(−cscx) + (−cscxcotx)

The error first appears in the third step, where the derivative of cscx is incorrectly taken as (−cscx). The correct derivative of cscx is −cscxcotx. This can be seen by using the chain rule, where the derivative of cscx can be written as d/dx(cscx) = d/dx(1/sinx) = (−1/sinx)(cosx) = (−1/sinx)(−cotx) =−cscxcotx.

Learn more about chain rule here:

https://brainly.com/question/30117847

#SPJ4

Answer:

12:15

16:20

40:50

Answer:

Choose a number and multiply that number by 4 and 5, then choose another number and multiply by the 4 and 5, and do it one last time

Step-by-step explanation:

A. Kevin will have $5040 if he use Bet Bank.

B. Kevin will have $14,707.7 if he use Primo Bank.

C. Kevin would use Primo Bank due to high amount generation.

The formula to be used for simple interest is -

SI = PRT/100, where SI is simple interest, P is principal, R is rate of interest and T is time.

The formula for compound interest is -

A = \( {P(1 + r)}^{n} \), where n is times interest is calculated.

To answer first part -

SI = 8000 × 9 × 7/100

Performing multiplication

SI = 504,000/100

SI = $5040

Amount generated = 8000 + 5040

Performing addition

Amount generated = $1340

To answer second part -

A = 8000(1+ 7/100)⁹

Convert rate to decimal

A = 8000 (1+0.07)⁹

Performing addition

A = 8000 × 1.07⁹

Taking power

A = 8000 × 1.84

Performing multiplication

A = $14,707.7

The money generated in Primo Bank is more. Hence, Kevin must choose this bank.

Learn more about compound interest -

https://brainly.com/question/24274034

#SPJ4

Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

------------------------------------------

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

------------------------------------------

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

------------------------------------------------------

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

------------------------------------------------------

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

Learn more about  linear programming  here:- brainly.com/question/30763902

#SPJ11

Answer:

20

Step-by-step explanation:

To determine the number of 9s between 1 and 100, we can consider the numbers from 1 to 99 since we want to exclude 100.

In the range from 1 to 99, we can observe the following patterns:

There is one 9 in each of the units' places (9, 19, 29, ..., 89, 99), giving us 10 occurrences.

There is one 9 in each of the tens' places (90, 91, 92, ..., 99), giving us 10 occurrences.

Therefore, there are a total of 10 + 10 = 20 occurrences of the digit 9 between 1 and 100.

Answer:

Kenneth: 12 years old

Randy: 48 years old

Step-by-step explanation:

For this problem, we can use system of equations to solve. Let's use r for Randy and k for Kenneth.

Equation 1

r=4k

This equation comes from the first part, where Randy is four times as old as Kenneth.

Equation 2

r=36+k

This equation comes from the second part, where Randy is 36 years older than Kenneth.

Since we have r=, we can use substitution method.

4k=36+k                   [subtract both sides by k]

3k=36                       [divide both sides by 3]

k=12

Now that we have found k, we can plug that into any equation to find r.

r=4(12)                      [multiply]

r=48

Now, we know that Randy is 48 years old and Kenneth is 12 years old.

The statistics z is -1.878 and the p value is 0.0302

Given,

Number of random sample selected, n = 6967

Number of surveys returned, x = 1331

Estimated proportion of return rate;

p = 1331/6967 = 0.192

Significance level, ∝ = 0.01

z would represent the statistic

We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:

Null hypothesis, p₀ ≥ 0.2

Alternative hypothesis, p₀ < 0.2

The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)

That is,

z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878

Using the alternative hypothesis and the following probability, we can now get the p value:

p value  = p(z < - 1.878) = 0.0302

We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.

Learn more about statistics here;

https://brainly.com/question/16528376

#SPJ4

You are given a magic penny that doubles every night. After 12 days you will have 2048 pennies.

The problem can be solved using a geometric sequence approach.

The nth term of a geometric sequence is given by:

a(n) = a(0) . rⁿ⁻¹

Where:

a(0) = the first term

r = common ratio

In the given problem:

a(0) = 1

n = 12

r = 2

Hence, after 12 days:

a(12) = 1 x 2¹²⁻¹ = 2¹¹ = 2048 pennies

Learn more about geometric sequence here:

https://brainly.com/question/24643676

#SPJ4

Answer:

Draw two criss cross. Then label line JG and line TA

Step-by-step explanation:

Hope this picture will help :)

The shaded region represents the third that was eaten.

Also, there's no such thing as leftover brownies

; )

______________

| |

| |

| |

|_____________|

| |

| |

| |

|_____________ |

|/////////////////////////|

|/////////////////////////|

|/////////////////////////|

|/////////////////////////|

The translated vertices are:

The vertices of the original figure are:

Now we want to apply a translation of four units to the right and 2 units down, then each point (x, y) becomes (x + 4, y - 2).

This means that the translated vertices are:

If you want to learn more about translations:

https://brainly.com/question/24850937

#SPJ1

Since no value appears more than once, there is no mode in this distribution and the relative frequency of households with an income over $100,000.00 is 0.2 or 20%.

a. To obtain the mode of the distribution, we identify the value(s) that appear most frequently in the data set.

Looking at the provided values:

$62,000.00 $84,000.00

$72,000.00 $187,000.00

$295,000.00 $32,000.00

$48,000.00 $64,000.00

$98,000.00 $92,000.00

There is no value that appears more than once in the data set.

Therefore, the mode of the distribution is not applicable in this case.

b. To obtain the relative frequency of households with an income over $100,000.00, we need to determine the proportion of households in the given data set that have incomes above this threshold.

Counting the number of incomes over $100,000.00, we have:

$187,000.00

$295,000.00

There are two households with incomes over $100,000.00.

The total number of households in the data set is 10

The relative frequency is calculated by dividing the number of households with incomes over $100,000.00 by the total number of households:

Relative Frequency = Number of households with incomes over $100,000.00 / Total number of households

Relative Frequency = 2 / 10

Relative Frequency = 0.2

To know more about relative frequency refer here:

https://brainly.com/question/28342015#

#SPJ11

Thus,  if SSE = 2,578 and SST = 20,343, then s2 = 322.25 and se = 17.95 using the simple linear regression model.

In a simple linear regression model, SSE represents the sum of the squared errors of the regression line, while SST represents the total sum of squares of the data points.

To calculate s2, we can use the formula:
s2 = SSE / (n - 2)

where n is the number of data points used in the regression analysis. Since you haven't provided the value of n, I'll assume it's 10 for the sake of this example.
So, s2 = 2,578 / (10 - 2) = 322.25 (rounded to 2 decimal places).

Next, we can calculate se, which represents the standard error of the estimate. It's calculated using the formula:
se = sqrt(s2)

Therefore, se = sqrt(322.25) = 17.95 (rounded to 2 decimal places).

In summary, if SSE = 2,578 and SST = 20,343, then s2 = 322.25 and se = 17.95. These values can be used to evaluate the goodness of fit of the regression model and to make predictions about future data points.

Know more about the linear regression model

https://brainly.com/question/30401933

#SPJ11

Answer:

2, 3, and 4

Step-by-step explanation:

Anything that happens to the 8k, also happens to the 20.

"100 raised to the sixth power" can be written in an algebraic expression as follows:

Meaning that we have to multiply 100 six times:

We can simplify by multiplying each 100 (adding the 0 of the next one hundred to the previous one) as follows:

0. Adding the 0 of the second 100 to the first

2. Adding the 0 of the third (now second from the previous operation) 100 to the first:

3. Adding the 0 of the fourth (now second from the previous operation) 100 to the first:

4. Adding the 0 of the fifth (now second from the previous operation) 100 to the first:

5. Adding the 0 of the sixth (now second from the previous operation) 100 to the first:

Answer:

Answer:

d

Step-by-step explanation:

it's the only one that isn't a trend

Answer:

A.

Step-by-step explanation:

It has a curve in it and linear is just like a strait line.

Answer:

5:9

Step-by-step explanation:

100:180 can be simplified by dividing by 20, which results in the ratio 5:9

Answer:

1 : 1.8

Step-by-step explanation:

ratio of pigs : sheep = 100 : 180 ( divide both parts of the ratio by 100 )

= 1 : 1.8

Answer: 45$. The proportion to set up could be 30/100%=x/150%.

Step-by-step explanation: Let's set up a proportion. 30/100% = x/150%.

The 30/100% shows that this month you paid 100% of 30 dollars, which is 30. The x/150% shows that you paid 150% of 30 dollars. We can find x using cross-multiplying. We get 150 x 30 = 100 times X. Simplyfing the equation, we get 4500 = 100 times x. To make X by itself, we divide both sides of the equation by 100, leaving us with 45=x, showing the answer is 45$.

Answer:

Divide sparkys weight by 7 and theres your answer for solo

Step-by-step explanation: not enough info to get the number

Answer:

12.8 dollars

Step-by-step explanation:

20%=1/5

discount=1/5x16=3.20 dollars

price=$16-$3.20=$12.80

please give brainliest

Answer:

The numbers are 36 and 42

Step-by-step explanation:

Represent the two numbers  by m and n, m being the larger number and n the smaller.  Then

m = n + 6.  also, 7n = 6m

Substitute n + 6 for m in the second equation:  7n = 6(n + 6).

Performing the indicated multiplication, we get 7n = 6n + 36, or n = 36.

Then m = n + 6, which here is m = 36 + 6 = 42.

The numbers are 36 and 42.

The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

for such more question on least squares

https://brainly.com/question/3617398

#SPJ8

Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

For ellipses:

-First, let's use completing the square method to determine values of a(semi-major axis), b(semi-minor axis), and the coordinates of the center of the ellipse.

-The center of the ellipse is at C(5, 3), semi-major axis, a = 4, and semi-minor axis, b = 2.

-Since the major axis of the ellipse is horizontal, the distance between the center of the ellipse and the co-vertices of the ellipse is ±b.

-The coordinates of the co-vertices of the ellipse are:

For the parabola:

-We have the following data:

The parabola is opening to the left and axis symmetry along the major axis of the ellipse (axis of symmetry: y = 3):

The focus of the parabola is the center of the ellipses.

-The parabola is passing through the co-vertices of the ellipse:

-The parabola is passing through poînts (5, 5) and (5, 1)

-From the first data, we know that the value of k is equal to 3 because the axis of symmetry of the parabola is y = 3.

-From the second data, we know that the x-coordinate of the vertex is at h = 5 + a. (Note: the distance of the focus of the parabola and the vertex of the parabola is equal to ±a, since the parabola is opening the the left we use -a)

\(\mathsf{F=(5,3)}\)

-Substitute the coordinates of the vertex of the parabola

-From the third data, we know that if the poînts lies on the parabola, the coordinates of the poînts must satisfy the equation of the parabola.

Using the point (5, 5), x = 5, y = 5:

-Another way to solve for the value of a is using the formula for the length of the latus rectum (LR = 4a). Since the length of the latus rectum is equal to the minor axis of the ellipse, we can easily solve for the value of a.

-Substitute the value of a in the equation:

(ノ‥)ノ

video of length minute and a half is most effective.

video is no doubt the most effective and top-performing content on social media. But uploading a social media is not as simple as uploading a simple video. there are lots of decisions (i,e the story, content, style, filter, back view, etc) to make in order to achieve overall goals for the good video uploading. the most important is the length of the video.  if your content is excellent but your video is too short in length of too long in length then it will not achieve the goal according to expectations.

if your video is appropriate, your content is good and your video is 1 and half a minutes or 2 minutes long then it is the most effective one.

To learn more about the length of the video, click on brainly.com/question/25270802.

#SPJ4