the next algebra test is worth 100 points and contains 35 problems. multiple-choice questions are worth 2 points each and word problems are 7 points each. how many of each type of equation are there? Please leave steps.

Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

Answer:

x=7

Step-by-step explanation:

A^+B^+C^=180° (sum of int. angles on triangle)

4x+7+8x-1+90=180

12x=180-96

12x/12=84/12

x=7

Answer:

ok I can help post again fast with in 3min

The circumference of a circle with radius r is given by:

The area of a circle with raidus r is given by:

Then for a cirlce of radius 7ft we have a circumference of:

And an area of:

Then the answers are:

Circumference: 43.96ft

Area: 153.86ft²

The line and the plane do intersect. The point of intersection is (3, 2, 1), and the angle with which the line intersects the plane is approximately 23.19 degrees.

The line is given by the symmetric equations:

x - 2 = 2y

z - 2/3 = 2y

Let's solve these equations simultaneously:

x - 2 = 2y

z - 2/3 = 2y

From the first equation, we have x = 2y + 2.

Substituting this into the second equation, we get z - 2/3 = 2(2y + 2).

Simplifying, we have z - 2/3 = 4y + 4.

Rearranging the equation, we get 4y - z = -4 - 2/3.

Now, let's consider the equation of the plane: 3x - 9y + 2z - 7 = 0.

To find the point of intersection, we need to solve the system of equations formed by the line and the plane. Substituting x = 2y + 2 into the equation of the plane, we get:

3(2y + 2) - 9y + 2z - 7 = 0.

Simplifying, we have 6y + 6 - 9y + 2z - 7 = 0.

Combining like terms, we obtain -3y + 2z - 1 = 0.

Now, we have two equations:

4y - z = -4 - 2/3

-3y + 2z - 1 = 0

Solving these equations simultaneously, we can find the values of y, z, and ultimately, x.

By solving the system of equations, we find that y = 2, z = 1, and x = 3.

Therefore, the point of intersection is (3, 2, 1).

To find the angle with which the line intersects the plane, we can calculate the dot product of the line's direction vector and the plane's normal vector. Then, we can use the dot product formula to find the angle.

The direction vector of the line is <1, 2, 2>, and the normal vector of the plane is <3, -9, 2>.

Using the dot product formula, we have:

cos θ = (13 + 2(-9) + 2*2) / (sqrt(1^2 + 2^2 + 2^2) * sqrt(3^2 + (-9)^2 + 2^2))

Simplifying, we get:

cos θ = (-9) / (sqrt(9 + 36 + 4) * sqrt(94))

Calculating this value, we find cos θ ≈ -0.4055.

To find the angle θ, we can take the inverse cosine (arccos) of -0.4055.

θ ≈ 119.15 degrees.

However, we need to find the acute angle between the line and the plane. Since the angle between them is obtuse (greater than 90 degrees), we subtract it from 180 degrees to get the acute angle.

Acute angle = 180 - 119.15

≈ 60.85 degrees.

Therefore, the angle with which the line intersects the plane is approximately 60.85 degrees.

The line described by the given symmetric equations and the plane described by the given equation do intersect. The point of intersection is (3, 2, 1). The line intersects the plane at an acute angle of approximately 60.85 degrees.

To know more about acute angle, visit

https://brainly.com/question/11530411

#SPJ11

Answer:

A -2

Step-by-step explanation:

the line meets up there and it would be rise divided by run and it would get you -2

Answer:

Step-by-step explanation:

You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.

We have defined the criteria for SAS congruency of triangles.

What is SAS?

The SAS theorem states that "Triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle."

According to the SAS criteria for triangle similarity, two sides of one triangle are similar to two sides of another triangle if their included angles are congruent.

Hence, we have defined the criteria for SAS congruency of triangles.

To learn more about the SAS congruency of triangles, visit:

https://brainly.com/question/13408604

#SPJ4

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

To know more about values visit :

https://brainly.com/question/30145972

#SPJ11

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.Let's consider the below diagram: \(\triangle XYZ\) has three interior angles \(\angle X\), \(\angle Y\), and \(\angle Z\). Then, \(\angle ZYX\) is an exterior angle of \(\triangle XYZ\). \(\angle ZYX\) is an exterior angle of \(\triangle XYZ\).Using the Exterior Angle Theorem: We have:\(\angle ZYX = \angle Y + \angle X\)

Therefore, using the exterior angle theorem solve for the identified angle can be done using the above formula. You just need to plug in the known values and solve for the unknown angle.

To know more about Exterior Angle Theorem visit:

https://brainly.com/question/28845017

#SPJ11

The beta of the portfolio, considering $1 with a beta of 3% and $2 with a beta of 7% and a weight of 0.1 (w1), is 6.6%.


The beta of a portfolio measures its sensitivity to overall market movements. To calculate the beta of a portfolio, we need the individual asset weights and betas of each asset. Given that $1 has a beta of 3% and $2 has a beta of 7%, with a weight of 0.1 (w1), we can determine the beta of the portfolio.

To calculate the beta of the portfolio, we use the following formula:

β(portfolio) = (w1 * β1) + (w2 * β2) + ...

In this case, the portfolio contains two assets, so the formula becomes:

β(portfolio) = (w1 * β1) + (w2 * β2)

Substituting the given values:

β(portfolio) = (0.1 * 3%) + (0.9 * 7%)

β(portfolio) = 0.3% + 6.3%

β(portfolio) = 6.6%

Therefore, the beta of the portfolio is 6.6%.

To know more about beta and its significance in portfolio management, refer here:

https://brainly.com/question/18760065#

#SPJ11

limx→0sinaxcosbxsincx=limx→0(cosbx⋅sinaxax⋅cxsincx⋅ac)=ac

The exact values of the remaining trigonometric functions are listed below:

Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4

Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11

Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3

Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2

In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:

sin θ = y / √(x² + y²)

cos θ = x / √(x² + y²)

tan θ = y / x

cot θ = x / y

sec θ = √(x² + y²) / x

csc θ = √(x² + y²) / y

Now we proceed to determine the exact values of the trigonometric functions:

Case 3: y = 4, √(x² + y²) = 5

x = √(5² - 4²)

x = 3

cos θ = 3 / 5

tan θ = 4 / 3

cot θ = 3 / 4

sec θ = 5 / 3

csc θ = 5 / 4

Case 4: x = 5, √(x² + y²) = 6

y = √(6² - 5²)

y = √11

sin θ = √11 / 6

tan θ = √11 / 5

cot θ = 5√11 / 5

sec θ = 6 / 5

csc θ = 6√11 / 11

Case 5: x = 8, √(x² + y²) = √73

y = √(73 - 8²)

y = 3

cos θ = 8√73 / 73

sin θ = 3√73 / 73

tan θ = 3 / 8

cot θ = 8 / 3

csc θ = √73 / 3

Case 6: x = √3, y = 1

sin θ = 1 / 2

cos θ = √3 / 2

tan θ = √3 / 3

sec θ = 2√3 / 3

csc θ = 2

To learn more on trigonometric functions: https://brainly.com/question/25618616

#SPJ1

Answer:

twenty five square meters

Step-by-step explanation:

100 divided by four

The value of a is 2.475 and the value of y is 3, so the expression (7.5 X 10^3)(3.3 x 10^4) can be simplified to 2.475 x 10^7.

Given the expression (7.5 X 10^3)(3.3 x 10^4) = a x 10^y, we need to find the values of a and y.

To multiply numbers in scientific notation, we first multiply the coefficients (7.5 x 3.3 = 24.75) and then add the exponents (3 + 4 = 7). Therefore, we get (7.5 X 10^3)(3.3 x 10^4) = 24.75 x 10^7.

However, we need to express the answer in scientific notation in the form a x 10^y, where 1 ≤ a < 10 and y is an integer. To do this, we need to convert 24.75 into a number between 1 and 10 by dividing it by 10^7. This gives us a = 2.475.

We also need to adjust the exponent of 10 to get the expression in scientific notation. To do this, we divide the original exponent of 7 by 2, which gives us y = 3. Therefore, (7.5 X 10^3)(3.3 x 10^4) = 2.475 x 10^3.

In summary, the value of a is 2.475 and the value of y is 3, so the expression (7.5 X 10^3)(3.3 x 10^4) can be simplified to 2.475 x 10^7. It is important to note that scientific notation is a useful way to express very large or very small numbers in a compact and convenient form. It is widely used in science, engineering, and other fields where large quantities are often encountered.

Learn more about expression here

https://brainly.com/question/1859113

#SPJ11

In the given case, the strength of evidence against the null hypothesis is less than 0.1.

A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be verifiable as per scientific method for it to be considered a scientific hypothesis. Scientists typically build their scientific ideas on prior observations that cannot be adequately explained by the current body of knowledge.

Null Hypothesis = H0 = The mean age of students is equal to 19.

Alternative Hypothesis = H1 = The mean age of students is significantly different from 19.

Expressing it symbolically -

H0: u = 19

H1: u ≠ 19

The alternative hypothesis argues that the mean age of the students is different from 19, while null hypothesis assumes that mean age of the students is exactly 19. The null hypothesis would be rejected in favour of the alternative hypothesis if the p-value, which gauges the strength of evidence against it, is less than 0.1, according to the significance threshold of 0.1.

Read more about hypothesis on:

https://brainly.com/question/26185548

#SPJ4

Answer:

Check below:

Step-by-step explanation:

To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:

Step 1: Grouping

Group the terms in pairs so that you can factor out a common factor from each pair.

3x² + 6x + 4x + 8

(3x² + 6x) + (4x + 8)

Step 2: Factoring out the common factors

Factor out the common factors from each pair separately.

3x(x + 2) + 4(x + 2)

Step 3: Factoring out the common factor from the resulting expression

Notice that we have a common factor, (x + 2), in both terms.

(x + 2)(3x + 4)

Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).

Mark me brainliest!

Answer:

I would answer it but I don't have enough information

The area of the garden will be = 1512 square meters.

The formula for calculating the area of a rectangle.

Rectangle surface area. A = l × b.

Once the length and breadth of a rectangle are determined, the area is computed.

The area of a rectangle may be calculated by multiplying its length and width.

Let's assume the length of the garden is 6x meters and the width is 7x meters, where x is a positive value that we need to find.

From the given ratio, we have:

6x + 7x = 78

13x = 78

x = 6

So the length of the garden is 6 * 6 = 36 meters and the width is 7 * 6 = 42 meters.

The area of the garden can be calculated as: 36 * 42 = 1512 square meters.

For more questions on Area of Rectangle

https://brainly.com/question/2607596

#SPJ4

Linear equations involve equalities (i.e., "=") and are used to represent lines in a coordinate plane. Linear inequalities, on the other hand, involve inequalities (i.e., "<", ">", "<=", ">=") and are used to represent regions or areas of a coordinate plane that satisfy certain conditions.

A linear equation can be expressed in the form "y = mx + b," where "m" represents the slope of the line and "b" represents the y-intercept. Given the values of "m" and "b," you can calculate the y-coordinate for any given x-coordinate, and vice versa. The graph of a linear equation is a straight line.

A linear inequality is expressed in the form "y < mx + b," "y > mx + b," "y <= mx + b," or "y >= mx + b." Instead of representing a single line, a linear inequality represents a shaded region on the coordinate plane that satisfies the given condition. To graph a linear inequality, you can choose a test point not on the line and check whether it satisfies the inequality. If it does, shade the region containing the test point; otherwise, shade the other region.

In summary, the main difference between linear equations and linear inequalities is the use of equalities versus inequalities. Linear equations represent lines, while linear inequalities represent shaded regions on the coordinate plane. Equations deal with exact solutions, whereas inequalities deal with a range of possible solutions. Understanding the distinctions between these concepts is important in various areas of mathematics, such as algebra and geometry.

To know more about Equation, visit

https://brainly.com/question/29174899

#SPJ11

Answer:

7/12.

Step-by-step explanation:

=x/x+5.

x-5/x+5+4=⅛

x-5/x+9=⅛

x-5=⅛(x+9)

x-5=⅛x+1⅛

x-⅛x=1⅛+5

⅞x=49/8

7x=49

x=7

thus the initial fraction is x/x+5= 7/12

A rational number is a fraction

To determine the value of 'c' that allows the given functions to serve as probability distributions, we need to ensure that the sum of all the probabilities equals 1 for each function.

(a) For the function \(f(x) = c(x^2 + 4)\), where x takes the values 0, 1, 2, and 3, we need to find the value of 'c' that satisfies the condition of a probability distribution. The sum of probabilities for all possible outcomes must equal 1. We can calculate this by evaluating the function for each value of x and summing them up:

\(f(0) + f(1) + f(2) + f(3) = c(0^2 + 4) + c(1^2 + 4) + c(2^2 + 4) + c(3^2 + 4) = 4c + 9c + 16c + 25c = 54c.\)

To make this sum equal to 1, we set 54c = 1 and solve for 'c':

54c = 1

c = 1/54

(b) For the function f(x) = c(2x)(33-x), where x takes the values 0, 1, and 2, we follow a similar approach. The sum of probabilities must equal 1, so we evaluate the function for each value of x and sum them up:

f(0) + f(1) + f(2) = c(2(0))(33-0) + c(2(1))(33-1) + c(2(2))(33-2) = 0 + 64c + 128c = 192c.

To make this sum equal to 1, we set 192c = 1 and solve for 'c':

192c = 1

c = 1/192

Therefore, for function (a), the value of 'c' is 1/54, and for function (b), the value of 'c' is 1/192, ensuring that each function serves as a probability distribution.

Learn more about sum here: https://brainly.com/question/17208326

#SPJ11

The probability that a person who purchased the game did not see the advertisement is:0.659.

what is  probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. Probability is used in many areas, including statistics, mathematics, science, finance, and gambling.

In the given question,

To solve this problem, we will use Bayes' theorem, which allows us to update our beliefs about the probability of an event based on new information.

Let A be the event that a person has seen the advertisement, and B be the event that a person has purchased the game. We want to find the probability of A given B, i.e., the probability that a person who has purchased the game has also seen the advertisement.

We know that P(A) = 0.24 (24% of the market has seen the advertisement), P(B|A) = 0.42 (42% of those who see the ad have purchased the game), and P(~A|~B) = 0.93 (93% of those who have not seen the advertisement have not purchased the game).

We can use the complement rule to find P(B|~A), the probability of purchasing the game given that the person has not seen the advertisement:

P(B|~A) = 1 - P(~B|~A) = 1 - 0.93 = 0.07

Now we can use Bayes' theorem:

P(A|B) = P(B|A) * P(A) / P(B)

where P(B) = P(B|A) * P(A) + P(B|~A) * P(~A)

Plugging in the values, we get:

P(B) = 0.42 * 0.24 + 0.07 * (1 - 0.24) = 0.2956

P(A|B) = 0.42 * 0.24 / 0.2956 = 0.3408

Therefore, the probability that a person who purchased the game did not see the advertisement is:

1 - P(A|B) = 1 - 0.3408 = 0.659

Rounded to the nearest thousandth, the answer is 0.659.

To know more about  probability , visit:

https://brainly.com/question/30034780

#SPJ1

Yes, an angle in a right-angled triangle is always present.  Without any additional information about the triangle, it is impossible to determine the value of the angle in question.

In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.

To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.

For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.

If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.

To learn more about : triangle

https://brainly.com/question/17335144

#SPJ11

We can make 37 , 3-letter strings  from the letters a, b, c, and d.

1 . AAA    - This word could be written in 1 way.

2. AAB, AAC, AAD  

3.ABB, ACC, ADD

4. ABC, ABD, ACD      

Total = 1+9+9+18

        = 37

So, we can make 37  3-letter strings  from the letters a, b, c, and d by applying the method called permutation.

To learn more about permutation, refer:

https://brainly.com/question/1216161

#SPJ1

On average, it takes 331.67 cars to circle around and then eventually park and shop.

In the 1st question, all that is required for us to calculate in this situation is to divide 210 by two points, which gives us 105 each hour.

Here's point number two: it takes an average of 20 minutes for automobiles to find parking spots, therefore we need to determine how many vehicles are circling the area. Basically, the number of automobiles that are circling an average location and will eventually park and then shop is 166.272675 divided by 5.20 5 points, which equals 331.67 cars.

Learn more about averages on

https://brainly.com/question/12322912?referrer=searchResults

#SPJ4

Answer:

Step-by-step explanation:

Answer:

Look at the graph, because I got it wrong I hope you guys get it! :)

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

Given a₁ = 47 and d = 17

Then to find a term in the sequence add 17 to the previous term, that is

a₁ = 47

a₂ = a₁ + 17 = 47 + 17 = 64

a₃ = a₂ + 17 = 64 + 17 = 81

a₄ = a₃ + 17 = 81 + 17 = 98

a₅ = a₄ + 17 = 98 + 17 = 115

The first 5 terms are 47, 64, 81, 98, 115

Answer:

a lot

Step-by-step explanation:

Answer es tu manzana que es comer

Step-by-step explanation: es ella tu mijo no comer la sanda que peso