The sum of the angles of a triangle is 180° If one angle of a triangle measures x and the second angle
measures (4x+19)º, express the measure of the third angle in terms of x. Simplify the expression.

Answer:

b)

Step-by-step explanation:

As here it's stated that average of first 9 numbers is 23

so,

sum of 9 numbers = 9×23 = 207

Average of first 5 numbers is 20

so,

Sum of first 5 numbers = 5×20 = 100

Sum of remaining numbers = 207-100 = 107

Average of last five numbers = 25

So,

Sum of last five numbers = 5×25 = 125

Fifth Number = Sum of last five numbers- Sum of remaining numbers

                      = 125 - 107 = 18

Answer:

Irrational

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.

The values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

To find ∂z/∂r and ∂z/∂s, we need to differentiate z = F(u, v, w) with respect to r and s.
Given that u = r^2, v = -2s^2, and w = ln(r) + ln(s), we can substitute these values into z = F(u, v, w).
So, z = F(r^2, -2s^2, ln(r) + ln(s)).
To find ∂z/∂r, we differentiate z with respect to r while treating s as a constant. This gives us:
∂z/∂r = ∂F/∂u * ∂u/∂r + ∂F/∂w * ∂w/∂r.
Similarly, to find ∂z/∂s, we differentiate z with respect to s while treating r as a constant. This gives us:
∂z/∂s = ∂F/∂v * ∂v/∂s + ∂F/∂w * ∂w/∂s.
Since we don't have the specific function F(u, v, w) mentioned in the question, we cannot determine the values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

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The three points to plot for the equation 2y = 3x + 11 are (0, 5.5), (1, 7), and (-1, 4).

To graph the equation 2y = 3x + 11, we can choose any three points that satisfy the equation. Let's select three points and plot them on a coordinate plane:

Point 1:

Let's set x = 0 and solve for y:

2y = 3(0) + 11

2y = 0 + 11

2y = 11

y = 11/2 = 5.5

So, the first point is (0, 5.5).

Point 2:

Let's set x = 1 and solve for y:

2y = 3(1) + 11

2y = 3 + 11

2y = 14

y = 14/2 = 7

The second point is (1, 7).

Point 3:

Let's set x = -1 and solve for y:

2y = 3(-1) + 11

2y = -3 + 11

2y = 8

y = 8/2 = 4

The third point is (-1, 4).

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Answer:

c

Step-by-step explanation:

The solution to the graph of y = -2x2+4x+2 is -

The solution to the graph y = -2x + 1 is 0.5

The solution of the graph for the equations given refers to the point where the graph intersects the x axis. The equations given are of two types linear and non linear.

The linear equation is the straight line and non of the values has power greater than 1 while non  linear equations has powers greater than. When the power is two, the equation is termed parabolic equation this represents the non linear equation given here,

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Of the following, examples of an independent agency is securities and exchange commission.

Independent agencies are agencies of the United States federal government that exist outside the federal executive departments and the Executive Office of the President. The term refers to independent agencies that are considered part of the executive branch but have regulatory or rulemaking authority assigned by the Congress and are separated from presidential control as the president's power to dismiss the agency head or a member is limited. The Securities and Exchange Commission (SEC) is an independent agency which was established to protect investors who buy stocks and bonds with the powers to prevent or punish fraud in the sale of securities and is authorized to regulate stock exchanges.

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C. The two quantities are equal.  We can see that both Quantity A and Quantity B have the same value of 1. Hence, the two quantities are equal.

Since we know that the length of each side of triangle T is 6 times the length of each side of triangle X, we can set up the following equations:
Length of side of T = 6 * Length of side of X
To compare the ratios of the sides, we can use the following formula:
Ratio of one side to another = Length of one side / Length of another side
For Quantity A, we can choose any two sides of triangle T and find their ratio. Let's choose the two adjacent sides:

To further explain the concept, let's consider the properties of equilateral triangles.
An equilateral triangle is a special type of triangle where all three sides are equal in length. Hence, if we know the length of one side, we automatically know the length of all three sides.
Now, coming back to the given question, we are told that the length of each side of triangle T is 6 times the length of each side of triangle X. This means that if the length of one side of triangle X is 'a', then the length of one side of triangle T is 6 times 'a', which is '6a'.
Hence, we can write:
Length of side of T = 6a
Length of side of X = a
Now, let's compare the ratios of the sides.
For Quantity A, we need to find the ratio of one side of triangle T to another side of T. Let's choose the two adjacent sides:
Ratio of adjacent sides of T = Length of side of T / Length of adjacent side of T
Since all three sides of an equilateral triangle are equal, the adjacent side of T is also 6a. Hence, we get:
Ratio of adjacent sides of T = (6a) / (6a) = 1
For Quantity B, we need to find the ratio of one side of triangle X to another side of X. Let's again choose the two adjacent sides:
Ratio of adjacent sides of X = Length of side of X / Length of adjacent side of X
Since all three sides of an equilateral triangle are equal, the adjacent side of X is also 'a'.

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24,000 ÷ 8,000 this doesn't have the same quotient as 2.4  ÷ 0.08

What is quotient ?

A quotient in mathematics is the amount created when two numbers are divided. The term "quotient" is used frequently in mathematics and is sometimes referred to as a ratio, a fraction, or the integer portion of a division.

The dividend is the number that is being divided (in this case, 15), and the divisor is the number that is being divided (in this case, 3). The quotient is the end result of division.

The quotient of 2.4 ÷ 0.08 is 30

The quotient of 0.24 ÷ 0.008 is 30

∴ the same as  2.4 ÷ 0.08

The quotient of 24 ÷ 0.8  is 30

∴ the same as  2.4 ÷ 0.08

The quotient of 240 ÷ 8   is 30

∴ the same as  2.4 ÷ 0.08

The quotient of 24,000 ÷ 8,000 is 3

∴ it is not same as  2.4 ÷ 0.08

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we do not have enough information to calculate the margin of error, as we are missing values such as the sample mean, sample size, and population standard deviation.

Let's calculate the margin of error for the confidence interval and check if the value of  \(32.1\) inches falls within the range.

Given:

Confidence interval: \((28, 32)\) inches

Confidence level: \(80%\)

Sample mean (x): Unknown

Sample size (n): Unknown

Population standard deviation (σ): Unknown

Belief: Population average height is  \(32.1\) inches

To determine if \(32.1\)  inches falls within the confidence interval, we need to calculate the margin of error (ME) for the confidence interval. The formula for the margin of error is:

ME = (Critical value) * (Standard deviation of the sample statistic)

Therefore, , we do not have enough information to calculate the margin of error, as we are missing values such as the sample mean, sample size, and population standard deviation.

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Answer:

d

Step-by-step explanation:

(3 x 100) + (7 X 0.1) + (5 X 0.0001)

Answer:

Step-by-step explanation:

Use the rise over run formula

y2-y1/x2-x1

1992-1990/3317-3038

2/-279

-139.5

Answer:

111 cm^2

Step-by-step explanation:

h = 11.4

d = 5  so  r (radius) = 2.5

Surface Area of a Cone Formula: πr^2 + πrs

s represents the slant height of the cone, lets represent this with a drawing.

We have the values of h and r, but we don't have the value of s, meaning we have to find it. We can do this by using pythagorean theorem.

a^2 + b^2 = c^2

These three values can come together to create a right triangle which we can seperate from the rest of the diagram, now we can find s.

s = √(11.4^2 + 2.5^2)   so  s = 11.67

now that we have all of the pieces, we can plug back into the original surface area formula. πr^2 + πrs

π(2.5^2) + π(2.5)(11.67) = 111.29 cm^2 or 111 cm^2

The surface area of the solid cone requiring paint will be 111 square cm.

Let d be the diameter of the base circle, l be the slant height, and h be the height of the cone.

Then the lateral surface area of the cone will be

SA = πrl + πr²

Then the slant height is given as

l² = r² + h²

The exterior of a solid cone is painted. The height of the cone is 11.4 centimeters, and the diameter of its opening is 5 centimeters.

Then the radius of the base circle will be

r = 5 / 2

r = 2.5 cm

The length of the slant height will be

l² = 11.4² + 2.5²

l² = 136.21

 l = 11.67

Then the surface area of the solid cone requiring paint will be

SA = π × 2.5 × 11.67 + π × 2.5²

SA = 29.18π + 6.25π

SA = 35.43π

SA = 111.3

SA ≈ 111 square cm

The surface area of the solid cone requiring paint will be 111 square cm.

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Answer:

$99.5

Step-by-step explanation:

Add up all the dollar amounts and subtract 30%

Answer:

Subtotal: $122     Total: $36.60

Step-by-step explanation:

Since you're only looking for the subtotal and not the actually total, you just have to add $15.00 + $32.00 + $75.00 and you should get $122. Although if you were looking for the total then you would have to know what 30% of 122 is and you should get 36.60 as the result so it would cost $36.60

Hope this helps you :D

The topmost common factor of 6 and 30 is 6.

To find the topmost common factor( GCF) of 6 and 30.

We can determine the factors of both figures and identify the largest factor they've in common.

The factors of 6 are 1, 2, 3, and 6.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

From the common factors listed over, the largest factor that both 6 and 30 share is 6.

Thus, the topmost common factor of 6 and 30 is 6.

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Answer:

80+60+3x+4=180

140+3x+4=180

144+3x=180

3x=180-144

3x=36

x=12

Answer:

x = 12

Step-by-step explanation:

All triangles equal to 180 degrees so, we can set up this expression:

180 = (3x + 4) + 80 + 60

All we have to do is solve:

180 = (3x + 4) + 80 + 60

180 = 3x + 4 + 140

180 = 3x + 144

-144        -144

36 = 3x

/3     /3

12 = x

if  Lines p and q are also parallel to each other then value of x is 100, option C is correct.

Parallel lines are coplanar infinite straight lines that do not intersect at any point.

The known angle is supplementary with angle A (Look at the attachment), that means that the sum of the known angle and A is 180°, therefore the value of angle A is 80°

Angle A and B are corresponding angles, which means that they have the same value, that happens because p and q are parallels and both cut line n  in the same way. the value of the angles B is 80°

Angles B and C are corresponding too, so the value of the angle C is 80°.

Angles C and X are supplementary too for which the sum of X and C  is 180°, so the value of X is 100°

Hence, if  Lines p and q are also parallel to each other then value of x is 100, option C is correct.

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Answer:

\(27\)

Step-by-step explanation:

A rhombus is a quadrilateral where all sides are equal in length. This means that \(\overline R \overline O = \overline O \overline C\).

From this, we can write:

\(2x-15=x+6\)

\(x-15=6\)

\(x=21\)

Now that we have solved for \(x\), we can find the length of \(\overline R \overline O\) by using substitution:

\(2x-15=2(21)-15\)

\(=42-15\)

\(=27\)

Hope this helps :)

Answer:

n = 10.5

Step-by-step explanation:

i used a calculator ( hope this helps)

that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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If data on a scatterplot shows points scattered in a random fashion, the variables have no relationship or a weak random relationship.

When the points on a scatterplot are scattered randomly, it indicates that there is no apparent pattern or trend between the variables being plotted. In other words, the values of one variable do not seem to have any influence on the values of the other variable. This suggests that there is no correlation or relationship between the two variables.

A scatterplot is a graphical representation that helps visualize the relationship between two variables. When the points on the scatterplot are randomly scattered, it means that the values of the variables are not related to each other in any systematic way

. There is no clear direction or trend that can be observed in the data. This indicates that changes in one variable do not result in predictable changes in the other variable.

In such cases, the variables are said to have no relationship or a weak random relationship. It is important to note that the absence of a relationship on a scatterplot does not necessarily imply that there is no relationship between the variables; it simply means that no apparent relationship can be observed based on the available data.

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Answer:

The improper fraction is 39/4.

Step-by-step explanation:

9 3/4 = 36 + 3 / 4

         = 39/4

Thus the improper fraction is 39/4.

Hope I helped!

Answer:

Hi there!

Your answer is:

39/4

Step-by-step explanation:

9 × 4 + 3

36 +3 = 39

An improper fraction is when the numerator has more than the denominator!

Hope this helps!

Answer:

A:   -1 + 2 log4^x

C: log4 (1/4) + log4 x^2

Step-by-step explanation:

Apply logarithm properties:

log4 (1/4x^2)  =  log4 (1/4) + log4 x^2

Evaluate: log4 (1/4)

log4 (1/4) = -1

Substitute the value back:

-1 + lg4 x^2

Apply logarithm properties:

-1 + 2 log4 ^x

Draw a conclusion:

The expressions equivalent to: log4 (1/4x^2) are:

Answer Choices: A, and C

A= -1 + 2 log4^x

C=  log4 (1/4) + log4 x^2

Hope this helps!

Tracy's total investment is $4,940. The Option A is correct.

An investment basically means the process of exchanging income during one period of time for an asset that is expected to produce earnings in future periods.

To find Tracy's total investment, we need to calculate the cost of buying 150 shares of Upton Group and 100 shares of WHI Health.

For 150 shares of Upton Group:

Total cost = number of shares × offer price

Total cost = 150 × $18.96

Total cost = $2,844

For 100 shares of WHI Health:

Total cost = number of shares × offer price

Total cost = 100 × $20.96

Total cost = $2,096

Tracy's total investment is the sum of these two costs:

Total investment = $2,844 + $2,096

Total investment = $4,940.

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Answer:

-5/4

Step-by-step explanation:

rise/run = -5/4

hope this helps <3

Answer:

-5/4

calculator lol (and rise over one)

If Bici expects to produce more than 500 bikes, then they should follow the second plan, and if they expect to produce fewer than 500 bikes, then they should follow the first plan.

Under the first plan, the total cost to design and build a prototype bicycle is $125,000, and the combined materials and labor costs for each bike made under this plan will be $225. This means that for each bike produced, the total cost will be $125,000 + $225 = $125,225.

Under the second plan, the total cost to design and build a prototype bicycle is $100,000, and the combined materials and labor costs for each bike made under this plan will be $275. This means that for each bike produced, the total cost will be $100,000 + $275 = $100,275.

To determine which plan is more cost-effective, we need to consider the breakeven point where the costs of both plans intersect:

125, 000 + 225x = 100, 000 + 275x

50x = 25, 000

x = 500 bicylces

If Bici Bicycle Company plans to produce more than 500 bikes, then the second plan would be more cost-effective. However, if Bici plans to produce fewer than 500 bikes, then the first plan would be more cost-effective.

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Answer:

4x+3Y=-6  D

Step-by-step explanation:

took the test

If Suzy is picking up a cookie from a "cookie-jar", then the probability that Sizy will not pick a "vanilla-cookie" is 0.7.

The "Probability" of Suzy not picking a vanilla cookie can be found by first calculating the total number of cookies in the jar and then subtracting the number of vanilla cookies from it.

Then at last, we divide this number by the total number of cookies in the jar.

The total number of cookies in the jar is : 4 + 3 + 2 + 1 = 10,

The number of vanilla cookies in the jar is = 3.

So, the number of non-vanilla cookies is : 10 - 3 = 7,

The probability that Suzy will not pick a vanilla cookie is : 7/10,

Therefore, the probability that Suzy will not pick a vanilla cookie is 7/10 or 0.7, which is equivalent to a percentage of 70%.

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