Given m<12= 121 and m<6= 75, find the measure of each missing angle.

Answer:

The expression represents the price you paid per gallon is:

Step-by-step explanation:

To identify the expression is right, I'll show you with an example: suppose that you paid $56 buying 7 gallons of gas, now you can replace those values in the expression I gave you:

And you can check this value by multiplying the price paid by the gallon and the number of gallons, which you obtain the number of dollars you spent:

Answer:

Below in bold.

Step-by-step explanation:

The general vertex form for a parabola is:

y = a(x - b)^2 + c   where a is a constant, and (b, c) is the vertex.

So here we have b = 1 and c = -2 giving:

y = a(x - 1)^2 - 2

When x = 3,  y = 2 , therefore:

2 = a(3-1)^2 - 2

4a = 2+2 = 4

a = 1

So our equation is

y = (x - 1)^2 - 2.

In standard form:

y = x^2 - 2x  + 1 - 2

y = x^2 -2x - 1.

Answer:

Step-by-step explanation:

150-147=3ml

he didn't add the remain of 147ml which was 3ml.

Answer:  see below

Step-by-step explanation:

#5 - 7: Domain are the x-values and Range are the y-values.

5) Coordinates are: (-2, 3), (0, 3), (2, 3), (4, 3)

   Domain: x = {3}         Range: y = {-2, 0, 2, 4}

6) All points on the curve between -4 and 2 (x-values) & 3 and 6 (y-values). Endpoints are included.

Domain: -4 ≤ x ≤ 2         Range: 3 ≤ y ≤ 6

7) All points on the curve between 2 and 7 (x-values) & 1 and 6 (y-values). Endpoints are not included.

Domain: 2 < x < 7         Range: 1 < y < 6

#8 - 11: Choose points for x. Plug them into the equation to solve for y.

To graph the equation, plot the points and connect the dots.

8)                  x         y = x

                   -2             -2

                    -1             -1

                     0             0

                     1              1

                     2             2

9)                  x         y = 2x+1

                   -2             2(-2)+1 = -3

                    -1             2(-1)+1 =  -1

                     0            2(-0)+1 =  1

                     1             2(1)+1 =   3

                     2            2(2)+1 =  5

Note:

You are allowed a maximum of 3 questions. I answered 5 questions. If you need help with the rest of your homework, you will need to create another post.

a)  The Cartesian equation of the curve is x^2 + y^2 = 9, which is the equation of a circle with center at the origin and radius 3.

b) The length of the curve is approximately 0.891 units.

a) To eliminate the parameter, we can use the identity sin2t + cos2t = 1 to solve for t in terms of x and y. We have:

x = 3sin(t)

y = 3cos(t)

Squaring both sides of each equation and adding them gives:

x^2 + y^2 = 9(sin^2(t) + cos^2(t)) = 9

Thus, the Cartesian equation of the curve is x^2 + y^2 = 9, which is the equation of a circle with center at the origin and radius 3.

b) To find the length of the curve, we use the arc length formula:

\(L = ∫√(dx/dt)^2 + (dy/dt)^2 dt\)

where the integral is taken over the interval [0, 1].

From the given parametric equations, we have:

dx/dt = 3

dy/dt = 3t^(1/2)

Substituting these into the arc length formula and evaluating the integral, we get:

L = ∫0^1 √(3^2 + (3t^(1/2))^2) dt

= ∫0^1 √(9 + 9t) dt

= ∫0^1 3√(1 + t) dt

= [2(1 + t)^(3/2)/3]_0^1

= 2/3(2^(3/2) - 1)

Thus, the length of the curve is approximately 0.891 units.

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ11

A = P ( 1 + r )^t

Given A = $2000 , r = 3% = 0.03

so, after 2 years t = 2

A = 2000 * ( 1 + 0.03)^2 = $2,121.8

so, the total after 2 years = $2,121.8

==============================================================

How much money should be invested today to accumulate to $10,000 in 10 years at 4.5% compounded monthly? (Simplify your answer. Round to the nearest cent as needed)

so, A = $10,000

r = 4.5% = 0.045

t = 10 years = 10 * 12 = 120 months

So, A = P (1 + r/n)^t ,,, n = 12

10,000 = P ( 1 + 0.045/12)^120

10,000 = P * 1.567

P = 10,000/1.567 = 6,381.65 ( to the nearest cent )

so, the money should be invested = $6,381.65

Answer:

See explanation.

Step-by-step explanation:

If the odd number is 2n+1 note that n can be any number because any even number plus one will be odd. Let's start by squaring 2n+1 to get:

\(4n^2+4n+1\)

Consider xy (x times y). xy is a multiple of both x and y because xy/x = y and xy/y = x. So it doesn't matter what n is it will be a multiple of 4. So now we know that 4n^2 and 4n are both multiples of 4. If we add them together, it will still be a multiple of 4. 2x + 4x = 6x and 6x is still divisible by x.

Now the plus 1 will always make it so it will be one more than a multiple of 4.

The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

Learn more about voter turnout at:

brainly.com/question/29639449

#SPJ4

Answer:

-1 = 4

0 = -2

1 = -8

5 = -32

Step-by-step explanation:

trust

The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient.

The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient. This coefficient is a statistic that quantifies the internal consistency reliability of a scale or measure, specifically for measures with multiple items or indicators that are intended to measure the same underlying construct.

The coefficient ranges between 0 and 1, with higher values indicating greater internal consistency. Cronbach's alpha measures the extent to which the items in a scale or measure correlate with each other. It assesses how well the items are measuring the same underlying construct or concept.

In other words, the coefficient represents the proportion of variance in the observed scores that can be attributed to the true score, rather than measurement error or other extraneous factors. It indicates the degree to which the items in the measure are interrelated or consistent with each other, with higher values suggesting stronger internal consistency.

Researchers often use Cronbach's alpha to assess the reliability of scales in various fields, such as psychology, education, and social sciences, to ensure that the measure is measuring the construct consistently and accurately.

Learn more about coefficient on:

https://brainly.com/question/1038771

#SPJ4

Number of container of paint is,

⇒ 6

Now, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

An art teacher had 2/3 gallon of paint to pour into containers.

And, he poured 1/8 gallon of paint into each container until he ran out of paint.

Hence, Number of container of paint is,

⇒ 2/3 / 1/8

⇒ 2/3 × 8

⇒ 16/3

⇒ 5.33

Which is 5 and a third of a container which is counted in this so 6 is the answer

Thus, Number of container of paint is,

⇒ 6

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

Answer:

7.) 138.71

8.) 250

Step-by-step explanation:

Was this the answer you were looking for?

Answer:

7)13.33

8)44.1

Step-by-step explanation:

43*31/100=1333/100

=13.33

105*42/100=4410

=44.1

Ram will be 5 times as old as he is now after 8 years. Ram will be 10 times as old as he is now in 18 years hence.

To determine when Ram will be 10 times as old as he is now, let's first find out his current age.
The student question states that Ram will be 5 times as old as he is now after 8 years. Let's denote Ram's current age as "x" years.
Step 1: Write the equation to represent Ram's age 8 years from now.
In 8 years, Ram's age = 5 × (current age)
So, 5x = x + 8
Step 2: Solve the equation to find Ram's current age.
4x = 8
x = 2
So, Ram's current age is 2 years old.
Now, let's find how many years hence he will be 10 times as old as he is now.
Step 3: Write the equation to represent when Ram will be 10 times as old as he is now.
10 × (current age) = (current age) + (years hence)
10 × 2 = 2 + y (where y = years hence)
Step 4: Solve the equation to find the years hence.
20 = 2 + y
y = 18
So, Ram will be 10 times as old as he is now in 18 years hence.

for such more question on times

https://brainly.com/question/25734188

#SPJ11

A scientific observation must be reproducible (option a).

A scientific observation must be reproducible, meaning that the results can be consistently obtained by multiple researchers or through repeated experiments. Reproducibility is a fundamental principle of scientific research as it allows for independent verification and validation of observations.

It ensures that the observed phenomenon or data is not a chance occurrence or influenced by individual biases. By reproducing the observation, scientists can establish the reliability and robustness of the findings. The correct option is a.

To know more about reproducible:

https://brainly.com/question/27983325

#SPJ4

The north campus had 600 students and the south campus had 600 students.Using this ratio, we can solve for the total number of students at the north campus, which is 600 students (10 women x 60 = 600 students).

Before the merger, the north campus had 10% of the students as women, which is the same as saying 10 out of every 100 students were women. This means that 100 students would have been 10 women. Using this ratio, we can solve for the total number of students at the north campus, which is 600 students (10 women x 60 = 600 students). The same process can be done for the south campus, which had 50% of its students as women. This means that 50 out of every 100 students were women, which means that the total number of students at the south campus would have been 600 (50 women x 60 = 600 students). Therefore, the north and south campuses had 600 students each before the merger, for a total of 1200 students between the two campuses.

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

Answer:

10.00 °C

Step-by-step explanation:

Answer:

50 degrees Fahrenheit is 10 degrees Celsius

Step-by-step explanation:

(50°F − 32) × 5/9 = 10°C

In the given set option (1) This triangle is not a right triangle.(2) This triangle is a right triangle.

A right triangle is a three sided figure with one angle equal to 90 degrees. A 90 degree angle is called a right angle and that is where the right triangle gets its name.

To determine whether a set of side lengths forms a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (also known as the hypotenuse).

(1) In this case, the given side lengths are 10m, 11m, and 15m. Let's check if they satisfy the Pythagorean theorem:

10² + 11² = 100 + 121 = 221

15²= 225

Since 221 is not equal to 225, the side lengths of 10m, 11m, and 15m do not form a right triangle. Therefore, we can conclude that this triangle is not a right triangle.

To determine whether a set of side lengths forms a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (also known as the hypotenuse).

(2) In this case, the given side lengths are 15m, 8m, and 17m. Let's check if they satisfy the Pythagorean theorem:

15² + 8² = 225 + 64 = 289

17² = 289

Since both sides of the equation are equal, we can conclude that the given side lengths form a right triangle. Therefore, we can say that this triangle is a right triangle.

Learn more about Triangle here

https://brainly.com/question/27337662

#SPJ1

Answer:

Step-by-step explanation:

15m 8m 17m is right triangle

10m, 11m, 15m is not a right triangle

To solve this equation, we need to use the formula y = mx + b, where m is the slope and b is the y-intercept.

The equation y = 3x + 1 is in slope-intercept form, which is a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 3 and the y-intercept is 1.

In this case, we have m = 3 and b = 1, so we can rearrange the equation as follows:

y = 3x + 1

Since (0) = 1, we can set y = 1 and solve for x:

1 = 3x + 1

0 = 3x

x = 0

Therefore, the solution to the given equation with y = 1 is x = 0. This means that when y is equal to 1, x must be equal to 0 in order to satisfy the equation y = 3x + 1.

For more questions related to equation, refer here:

https://brainly.com/question/29657992

#SPJ11

Refer to the graph below for the graphical representation of the given equation y = 49x.

Graph:

Refer to the graph given below for the equation y=49x.

Therefore, the graph of the given equation y=49x is shown below.

Know more about equations here:

brainly.com/question/2972832

#SPJ1

This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.

This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.

This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.

Visit here to learn more about  interviewer bias : https://brainly.com/question/4961173
#SPJ11

Answer:

divide and 16 per pound...

Answer:

divide, 16

Step-by-step explanation:

To find the weight, we have to divide the total number of ounces, 96, by the unit rate, which is the baseline for the conversion, 16 ounces.

Hope this helps! :)

The slope of the line passing through the points (1,-5) and (4,1) is 2

The slope of any two points can be found using the point-slope

equation which is:

=> y₂-y₁ = m(x₂-x₁)

where (x₁, y₁) and (x₂, y₂) are two points having the value (1,-5) and (4,1) respectively and

m is the slope of those two points

To find the slope we need to rearrange the point-slope equation,

m =  (y₂ - y₁)/(x₂-x₁)

m = 1 - (-5) / 4 -1

m = 1 + 5 / 3

m = 6/3

m = 2

Hence, the slope of the line passing through two points (1,-5) and (4,1) is m = 2

Learn more about the Point-Slope problem in

brainly.com/question/837699

#SPJ9

The percentage change in the visit of total number of customers in the second week as compare to first week is equal to 16.67%.

Total number of customers visited the store in the first week = 360

Total number of customers visited the store in the second week = 300

Percentage Change = (|First week - second week / First week) x 100%

Substitute the value of the number of customers in different weeks in the formula we get,

Percentage Change

= (|300 - 360| / 360) x 100

= (60 / 360) x 100

=( 100 / 6 )

= 16.66666%

= 16.67%

Therefore, the percentage change in the number of customers that visited the store from the first week to the second week is a decrease of 16.67%.

Learn more about percentage here

brainly.com/question/30414087

#SPJ4

The above question is incomplete, the complete question is:

Mr. Davies opened a new retail store. During the first week, 360 customers visited the store. During the second week, 300 customers visited the store.

What is the percentage change of the number of customers that visited the store in the first week to the number of customers that visited the store in the second week?

If it has the force components Fx = -45 kN and Fy = 60 kN, then the angle of force F is -53.1°.

Angle is a measure of rotation between two lines. It is typically measured in degrees or radians, with 1 degree equal to π/180 radians. An angle can be positive or negative, depending on the direction of rotation. In the context of forces and vectors, angles are typically measured with respect to a reference direction, such as the positive x-axis or the direction of motion.

The given force components are Fx = -45 kN and Fy = 60 kN.

Let θ be the angle that the given force makes with the positive x-axis.

The angle θ can be found using the following steps:

Calculate the magnitude of the given force, which is given by F = √(Fx² + Fy²).

Substitute the given force components and simplify.

F = √((-45)² + 60²) = 75 kN.

The angle θ can then be found using the definition of angle and the force components as follows:

tan θ = Fy/Fx = 60/(-45)θ = tan⁻¹(60/(-45))θ = -53.13°.

Therefore, the angle of force F is -53.1°

To know more about angle visit:

brainly.com/question/13954458

#SPJ11

New function that is a horizontal stretch of F(x)=\((x+2)^{3} + 5\) is F(\(\frac{x}{k}\))=\((\frac{x}{k} +2)^{3} + 5\)

The point (x, y) on the graph of f(x) is changed to the point (x/k, y) on the graph of g when the graph is stretched or contracted horizontally by a factor of 1/k (x).Only when the input value is also increased by a, can a graph be stretched horizontally by a factor of 1/a. The x-coordinates should be multiplied by a once f(x) has been stretched horizontally to f(ax). Keep the y-intercepts where they are. The resulting function might have a different domain, but it will have the same range. If a point (m, n) is stretched horizontally, it becomes (am, n).

F(x)=\((x+2)^{3} + 5\)

F(\(\frac{x}{k}\))=\((\frac{x}{k} +2)^{3} + 5\)ch visit :
To learn more about horizontal stretch visit :

brainly.com/question/25753477

#SPJ9

Answer:

Y= - \(\frac{38}{9}\) or -4.222...

Step-by-step explanation:

-5=y-\(\frac{7}{9}\)

y=\(\frac{7}{9}\)-5

y= \(\frac{7}{9} - \frac{45}{9}\)

y = - \(\frac{38}{9}\)

y= about -4.222...