Expand Expression t( 3n + 4)

Answer:

C :)

Step-by-step explanation:

No, the two triangles are similar. Option D is correct.

While having the same size is not required, it is required by law to demonstrate that the two triangles have the same form. The angles that correspond to those sides have the same congruence and the same ratio of sides.

It is given in ΔVWX and ΔYZX

WX=8,ZX=2

VX=9,YX=3

When two triangles have an equal number of corresponding sides and corresponding angles, they are said to be similar.

It is obtained that,

ZX/WX=1:4

YX/VX=1:3

ZX/WX≠YX/VX

Since their ratio is not equal there is no possibility for the triangles to be similar. As a result, the triangle is not similar.

Thus, option D is correct.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ2

Step-by-step explanation:

coefficients is 3

constants are 2 and 7

Answer:

a. t`= 7.63

b.υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= 18.885 ≈19 The degrees of freedom is always rounded in this calculation.

c. The critical region for one tailed test for alpha= 0.1 and 19 degrees of freedom is 1.328= 1.33

The critical region is ║t║` ≥ t 0.05,19 = 1.729= 1.73

A. Reject H0 because the computed tSTAT test statistic is greater than the​ upper-tail critical value

Step-by-step explanation:

Answer:

Step-by-step explanation:

We state our null and alternative hypothesis as

H0: μ1=μ2 against Ha: μ1 ≠ μ2

The level of significance is α=0.1

Since the population have unequal variances , the test statistic if H0 is true ,is

t`= x1`- x2`/ √s₁²/n1 + s₂²/n2

which has approximately a t- distribution with υ degrees of freedom where

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

Computations:

t`= x1`- x2`/ √s₁²/n1 + s₂²/n2

t`= 46-31/ √4²/9 + 5²/12

t`= 15/√16/9 +25/12

t`= 15/ √64+75/36

t`=15/1.9649

t`=7.6339

t`= 7.63

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= [139/36]²/ (16/9)²/8 +(25/12)²/11

= 14.91/ 0.395 + 0.395

= 18.885

≈19 The degrees of freedom is always rounded in this calculation.

The critical region is ║t`║≥ t 0.05,19 = 1.729

Since the calculated value of t` falls in the critical region we reject our null hypothesis of equal means.

I'm guessing the equation is supposed to read

\(\tan\left(\dfrac{5\pi}7 x\right) + \sqrt3 = 0\)

Move the constant term to the other side:

\(\tan\left(\dfrac{5\pi}7 x\right) = -\sqrt3\)

Take the inverse tangent of both sides:

\(\tan^{-1}\left(\tan\left(\dfrac{5\pi}7 x\right)\right) = \tan^{-1}\left(-\sqrt3\right) + n\pi\)

(where n is an integer)

\(\dfrac{5\pi}7 x = - \tan^{-1}\left(\sqrt3\right) + n\pi\)

Since tan(π/3) = √3, we get

\(\dfrac{5\pi}7 x = -\dfrac\pi3 + n\pi\)

and solving for x gives

\(\boxed{x = -\dfrac7{15} + \dfrac{7n}5}\)

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

hope this helps a little

The distance between the points z₁ = 3+7i and z₂ = -5-2i is 12.04.

Distance is the total movement of an object without any regard to direction.

To calculate the distance between the two complex expression, we use the

formula below

Formula:

From the question,

Given the question

Where:

Substitute these values into equation 1

Hence, the distance is 12.04.

Learn more about distance here: https://brainly.com/question/28551043

#SPJ1

Answer:91

Step-by-step explanation:

In the given triangle, we are asked to name the marked angles in two different ways.

The point L indicates the location of the vertex. This is the point where two rays meet to form an angle.

We can name the marked angle using two methods:

1) By three capital letters with the vertex in the middle.

2)By one capital letter using the letter that indicates the vertex.

Therefore, the possible names of the marked angles would be:

Answer:

For given functions, The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

What is the definition of a function?

A function is a mathematical rule that gives each input value a distinct output value. A function is officially defined as a collection of ordered pairs (x, y) in which each input value x is coupled with exactly one output value y. The domain of the function refers to the input values, while the range refers to the output values. A graph, table, equation, or verbal explanation can all be used to depict a function. When the input value is x, the notation f(x) is commonly used to express the output value of a function f.

Now,

From given function f(x) and g(x)

For f(x) when x=0 then y=1 or y-intercept=1

for g(x), the y-intercept is 1 from equation y=4x+1

and slope of g(x)=4

and slope of f(x)=(11-1)/(2-0)

=10/5

=2

Hence,

           The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

To know more about functions visit the link

brainly.com/question/12431044

#SPJ1

Answer:

My opinion is that you can exist any many things as you navigate through life. This quote is very wrong because you can exist in doing things for other people and not just yourself! You can not be selfish your entire life! I think that you should be for other people! I think that doing stuff for yourself is okay to a certain extent!

Step-by-step explanation:

THIS IS SOOO WRONG( idk tho)

This quote is telling us that you can't exist unless you are doing something worth being remembered for. Through out our lives we all listen to what the world tells us, but not many of us actually do what we want to. We live our lives for someone else, but I plan to change that. Instead of letting the public decide how I should live my life I will live for me. I will work harder in school, become smarter than my parents and grow as a person. I want to be remembered for stepping out of my comfort zone and being different. This is the year that I exist, and show people that I exist for a purpose.

Step-by-step explanation:

Went really deep with this one.

Answer:

\(x = \frac{4}{f - 3} \)

Step-by-step explanation:

add 3x to both sides

\(fx + 3x = - 3x + 4 + 3x \\ fx + 3x = 4\)

factor out variable x

\(x(f + 3) = 4\)

divide both sides by f+3

\(x = \frac{4}{f - 3} \)

The center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)

The points are given as:

(-5, 2) and (-3, 6)

The equation of  a circle is represented as:

\((x -a)^2 + (y - b)^2 = r^2\)

Where:

Substitute both points in the above equation

\((-5 + a)^2 + (2 - b)^2 = r^2\)

\((- 3+ a)^2 + (6 - b)^2 = r^2\)

The radii are equal.

So, we have:

\((-5 + a)^2 + (2 - b)^2 = (- 3+ a)^2 + (6 - b)^2\)

Expand the equations

\(25 -10a + a^2 + 4 - 4b + b^2 = 9 - 6a + a^2 + 36 - 12b + b^2\)

Evaluate the like terms

\(25 -10a + 4 - 4b = 9 - 6a + 36 - 12b\)

Collect like terms

6a -10a - 4b + 12b = 9  + 36  - 25 - 4

Evaluate

-4a + 8b = 16

Divide through by - 4

a - 2b = -4

Next, we test the options:

Option (a) (a,b) = (0,2)

Substitute these values in the equation

0 - 2*2 = -4

Evaluate

-4 = -4

Both sides of the equation are the same

Hence, the center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)

Read more about circle equations at:

https://brainly.com/question/1559324

#SPJ1

The solution curve for the differential equation dy/dx = (y - y²) / x is plotted in the slope field.

What is a slope field?

The solutions to a scalar function's first-order differential equation are shown graphically by slope fields, also known as direction fields. Functions depicted as solid curves are solutions to a slope field. In order to determine the estimated tangent slope at a point on a curve, where the curve is some solution to the differential equation, one can use a slope field, which displays the slope of a differential equation at specific vertical and horizontal intervals on the x-y plane.

The slope field is a cartesian grid where you draw lines in various directions to represent the slopes of the tangents to the solution. Therefore by drawing a curve through consecutive slope lines, we can find a solution to the differential equation.

The differential equation is dy/dx = (y - y²) / x.

The solution curve is drawn using the solution points (1,2) for the differential equation.

Therefore, the solution curve is obtained.

To learn more about slope field from the given link

https://brainly.com/question/30194885

#SPJ4

Hence, throughout March and April, the cafeteria served 1020 quarts of milk.

The unitary method is a mathematical approach where issues are solved by determining a single unit rate. To relate various quantities to one another, proportions must be used. This approach is frequently employed in issues involving direct and inverse proportionality. In inverse proportionality, the product of the two quantities is constant, whereas in direct proportionality, the two numbers fluctuate in the same ratio.

given

We must first determine the total number of cups of milk served in both March and April in order to calculate the total number of quarts of milk served in both months.

4080 cups of milk totaled from 2420 + 1660 cups.

We can convert the total number of cups to quarts by dividing by 4 because 1 quart equals 4 cups:

4080 cups of milk divided by 4 equals 1020 quarts total.

Hence, throughout March and April, the cafeteria served 1020 quarts of milk.

To know more about unitary method visit:

https://brainly.com/question/28276953

#SPJ1

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Answer:

Step-by-step explanation:

= 10.32

Answer:

10.32

Step-by-step explanation:

Mr. Lloyd could use his credit card to buy the TV. Therefore, option  A is the correct answer.

Using a credit card to make a purchase requires that the buyer have a credit limit that is large enough to cover the amount of the purchase. Mr. Lloyd does not have enough money in his bank account to pay for the television, so he would not be able to use a credit card to make the purchase.

Options B, C, and D are all viable options for Mr. Lloyd. He could save up money and pay cash for the television at a later date, or he could use his debit card to make the purchase when he has enough money in his bank account. He could also save money and use his debit card at a later date when he has enough money in his bank account.

Therefore, option  A is the correct answer.

To learn more about the savings account visit:

https://brainly.com/question/3811440.

#SPJ1

Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?

A) He can use his credit card to buy the television now.

B) He can save money and pay cash for the television at a later date.

C) He can use his debit card to buy the television now.

D) He can save money and use his debit card to buy the television at a later date.

Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and

after 11 steps, the mixture contains less than 9% vinegar.

What is concentration?

Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.

a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:

\(C(1) = C(0) * \frac{1 - 0.14}{1}\)

where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:

C(2) = C(1) * \(\frac{1 - 0.14}{1}\)

Substituting the formula for C(1), we get:

C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)

or, more generally:

\(C(n) = C(0) * (0.86)^n\)

b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:

\(C(0) * (0.86)^n < 0.09\)

Dividing both sides by C(0), we get:

\((0.86)^n < 0.09\)

Taking the natural logarithm of both sides, we get:

n * ln(0.86) < ln(0.09)

Dividing both sides by ln(0.86), we get:

n > ln(0.09) / ln(0.86)

Using a calculator, we get:

n > 10.7

Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.

To learn more about concentration visit the link:

https://brainly.com/question/17206790

#SPJ1

Answer: 16, 24, 32

Step-by-step explanation:

Since the ratio is 8:3, and the girl's rate is added to itself by 3, you need to add 8 for each boy's rate.

Answer:

16, 24, 32

In that order

Step-by-step explanation:

Answer

20384

Step-by-step explanation:

The original price of the bracelet was £1400.

Percentage is a way of expressing a proportion or a fraction as a part of 100. It is denoted using the symbol "%". For example, 50% means 50 out of 100, or half, while 25% means 25 out of 100, or one-quarter.

We can start by using the information given to set up an equation that relates the original price of the bracelet with the sale price and the percentage reduction:

original price x (100% - 70%) = sale price

Simplifying the percentage reduction:

original price x 30% = sale price

Substituting the given sale price (£420):

original price x 30% = £420

To solve for the original price, we need to isolate it on one side of the equation. We can do this by dividing both sides by 30% (which is the same as multiplying by 100/30 or 10/3):

original price = sale price / 30% = £420 / 30% = £1400

Therefore, the original price of the bracelet was £1400.

Complete question - A jewelry shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.

Learn more about Percentage here

https://brainly.com/question/29286925

#SPJ1

So the equation that can be used to find the number of cars that Mr. Diaz sold, c, is:

34c - 8 = 28

In algebra, a statement of mathematics that proves the equality of two mathematical expressions is known as an equation. Consider the equation 3x + 5 = 14, where the word "equal" is used to denote the relationship between the terms 3x + 5 and 14.

Let c be the number of cars that Mr. Diaz sold.

According to the problem statement, Ms. Wong sold 8 fewer cars than 34 times the number of cars Mr. Diaz sold, which can be written as:

Ms. Wong's cars sold = 34c - 8

We also know that Ms. Wong sold 28 cars, so we can set this expression equal to 28 to get:

34c - 8 = 28

To solve for c, we can add 8 to both sides and then divide both sides by 34:

34c - 8 + 8 = 28 + 8

34c = 36

c = 36/34

So the equation that can be used to find the number of cars that Mr. Diaz sold, c, is:

34c - 8 = 28

To know more about equation visit:

https://brainly.com/question/29657992

#SPJ1

Answer: 4

This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.

4/5 ÷ 1/5

Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:

4/5 x 5

To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.

You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.

Hope this helps!

Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

Learn more about commutative property. on

https://brainly.com/question/778086

#SPJ1

Answer:

Fruit mass = 63.2 g

Biscuit mass = 94.8 g

Step-by-step explanation:

Since the ratio of fruit mass to biscuit mass is 2:3, the fraction of fruit mass to the total of fruit and biscuit mass is 2/5 and the fraction of biscuit mass to the total of fruit and biscuit mass is 3/5.

For Monkey A, the total of fruit and biscuit mass is 73 g, which means that the fraction of fruit mass is 2/5 × 73 g = 29.2 g and the fraction of biscuit mass is 3/5 × 73 g = 43.8 g. Therefore, the values for fruit mass and biscuit mass are:

Fruit mass = 29.2 g

Biscuit mass = 43.8 g

For Monkey B, the total of fruit and biscuit mass is 73 + 85 = 158 g, which means that the fraction of fruit mass is 2/5 × 158 g = 63.2 g and the fraction of biscuit mass is 3/5 × 158 g = 94.8 g. Therefore, the values for fruit mass and biscuit mass are:

Fruit mass = 63.2 g

Biscuit mass = 94.8 g

The total surface area of the triangular prism using the net is 96 square units

From the question, we have the following parameters that can be used in our computation:

The net of a triangular prism

The surface area of the triangular prism from the net is calculated as

Surface area = sum of areas of individual shapes that make up the net of the triangular prism

Using the above as a guide, we have the following:

Area = 2 * 3 * 7 + 6 * 7+ 2 * 1/2 * 2 * 6

Evaluate

Area = 96

Hence, the surface area is 96 square units

Read more about surface area at

brainly.com/question/26403859

#SPJ1

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte