Given f(x) = 3x - 4, find f(5). Write your answer as a number.​

Answer:

6. 12cm

7. 11.2 cm

8. 92 degrees

9. 53 degrees

10. 37.5 cm

11. $ 693.12

Step-by-step explanation:

For questions 6-9 the triangle is congurent which means both their angles will be equal.

For the sides you can see that the second triangle is 1.5 times smaller than the first one as taking one of the sides 21/14= 1.5

So for Q. 6 we can multiply side PQ by 1.5.

For Q.7 divide CA by 1.5.

For Q. 10 we can do cross multiplication:

5/4 = x/30

= 150= 4x

= 37.5=x

For Q 11 we can see the size of the paper is 1.9 times bigger than the original one (38/20)

So the shorter side is 30.4 cm.

Then we have to find the area of the paper to multiply the two dimensions and we get 1155.2 square inches.

Then to figure out the money we multiply again and we get $693.12.

Answer:

n = -5

Step-by-step explanation:

0.6(10n + 25) = 10 + 5n

0.6(10n) + 0.6(25) = 10 + 5n

6n + 15 = 10 + 5n

n + 15 = 10

n = 10 - 15

n = -5

The first part of the journey took 4/3 hours (80 minutes)

The last part of the journey too 2/3 hours (40 minutes)

Here, we want to set-up equations to solve

We start by filling the table

Line 1

The rate for the first part of the race is 90 mph

The time for the first part of the race is F

Line 2

The time for the second part of the race is L

The distance (product of the rate and time) is 60L

So, adding these up give us the following equations to be added and solved below;

So, we proceed to solve these equations simultaneously

To get f, we simply substitute l into the first part of the equations;

Since an hour is 60 minutes;

The termination standards used by Internet backbone infrastructure, Internet service providers, down to individual residences or companies, are T568A and T568B.

When should you employ both the T568A and T568B standards and what are their differences?

What is T568B standard?

Learn more about T568B standard

brainly.com/question/14456618

#SPJ4

Answer:

\(k \leqslant 19 \div 27 \: is \: the \: answer\)

Answer:

pretty sure its b

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

The child gradually swings higher. The child starts off low on the ground and swings until it's maximum.

Answer:

A. x = 16 , y = 34

B x = 2000, y = 1000

Step-by-step explanation:

Solution:-

- We will first define our variables ( x and y ) as follows:

                     x: The number of "nickels" in the jar

                     y: The number of "dimes" in the jar.

- Nest we will write down the rates of nickel and dime in dollar equivalent as ( P_n and P_d, respectively )  as follows:

                    P_n = $0.05  ... ( 5 cents )

                    P_d = $0.10   ... ( 10 cents )

- We are told that the jar contains a total of "50" coins comprised of nickel and dimes. Since, we don't know the exact amount of nickel and dimes in the jar. We will express the statement mathematically using the previously defined variables as follows:

                     \(x + y = 50\)     ... Eq1

- Secondly, the total worth of the jar is given to be " $4.2 ". The respectively value of each coin was iterated above. We will compute the total worth of the jar by expressing in terms of x and y as follows:

                    \(P_n*x + P_d*y = 4.2\\\\0.05x + 0.1*y = 4.2\)  ... Eq 2

- We have two equations [ Eq1 and Eq2 ] comprising of two variables. We can solve them simultaneously for a unique solution ( x and y ).

- To solve by elimination. We will first multiply the [ Eq1 ] by "- 0.1 " throughout as follows:

                    \(-0.1x - 0.1y = -5\\\\0.05x + 0.1y = 4.2\)

- Now we will add the two equations and eliminate the variable " y " and solve for " x ":

                    \(-0.05x = -0.8\\\\x = 16\)

- Now plug the value of " x " in either of the derived equations and solve for "y":

                    \(y = 50 - 16\\y = 34\)

Answer: There are 16 nickels and 34 dimes in the jar of total worth $4.2.

- We will first define our variables ( x and y ) as follows:

                     x: The number of "sodas" sold

                     y: The number of "hot dogs" sold.

- Nest we will write down the rate charged for soda and hot-dogs equivalent as ( P_s and P_h, respectively )  as follows:

                    P_s = $2 / soda

                    P_h = $3 / hot-dog

- We are told that " 3000 " sodas and hot-dogs were sold at the concession stand . Since, we don't know the exact amount of sodas and hot-dogs sold. We will express the statement mathematically using the previously defined variables as follows:

                     \(x + y = 3000\)   ... Eq1

- Secondly, the total amount expressed on the receipts after selling "x" many sodas and " y " many hot--dogs was " $7000 ". The respectively value of each commodity sold was iterated above. We will compute the total value of items sold by expressing in terms of x and y as follows:

                    \(P_s*x + P_h*y = 7000\\\\2x + 3y = 7000\) ... Eq 2

- We have two equations [ Eq1 and Eq2 ] comprising of two variables. We can solve them simultaneously for a unique solution ( x and y ).

- To solve by elimination. We will first multiply the [ Eq1 ] by "-2 " throughout as follows:

                    \(-2x - 2y = -6000\\\\2x + 3y = 7000\)

- Now we will add the two equations and eliminate the variable " x " and solve for " y ":

                    \(y = 1000\)

- Now plug the value of " y " in either of the derived equations and solve for "x":

                    \(x = 3000 - 1000\\\\x = 2000\)

Answer: The concession sold 2000 sodas and 1000 hot-dogs of total worth $7000.

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

To know more about function, visit

brainly.com/question/5245372

#SPJ1

7 because if its 6 you won't hit 44 and its late but if you do more you actually them all complete

Step-by-step explanation:

Answer:

if its talking about just school days...so..5...you would need to complete at least 9 assignments per day. But if its a 7 day week, you need to complete at least 7 assignments per day

hope i helped :)

The statement "The limit of a function f(x) at x=2 is always the value of the function at x=2, that is f(2)" is false. The limit of a function at a specific point does not necessarily equal the value of the function at that point due to potential discontinuities or peculiarities in the function's behavior.

The statement is not generally true. The limit of a function f(x) at x=2 is not always equal to the value of the function at x=2, that is f(2).

The limit of a function represents the behavior of the function as the independent variable approaches a particular value. It does not depend solely on the value of the function at that point.

In some cases, the limit at x=2 may indeed be equal to f(2). This occurs when the function is continuous at x=2.

In such cases, the value of the function at x=2 is consistent with the behavior of the function in the surrounding region.

However, there are situations where the limit at x=2 differs from f(2). This happens when there are discontinuities or other peculiarities in the function's behavior at that point.

For example, if the function has a jump, vertical asymptote, or removable discontinuity at x=2, the limit may exist but not be equal to f(2).

Therefore, the statement is false because the limit of a function at a particular point is not always equal to the value of the function at that point.

To know more about function refer here:

https://brainly.com/question/31416421#

#SPJ11

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

The first option: As the x-values go to positive infinity, the function's values go to negative infinity.

Step-by-step explanation:

Let's focus on the right part of the graph. Notice that at x = 1, the line is on the negative y-axis. The same thing happens to when we locate x = 2, it still continues to go down approaching negative infinity.

The slope of the equation y = \(-\frac{2}{3} - 5x\) is  - 5

The question says what is the slope of the following equation.

Slope of a line is the measure of it steepness. The slope is calculated as rise over run.

Using slope intercept format:

where

m = slope

b = y-intercept

Therefore,

The slope of the equation y = \(-\frac{2}{3} - 5x\) is  - 5

learn more on slope here: https://brainly.com/question/14250742

Answer:

Step-by-step explanation:

-5

The conversion of 2000 pound sterling to dollars is 2,740 US dollars.

The conversion of 2000 pounds sterling to dollars depends on the current exchange rate between the two currencies.

The exchange rate was approximately 1.37 US dollars per 1 British pound.

Using this exchange rate, we can convert 2000 pounds sterling to US dollars as follows:

2000 pounds * 1.37 dollars/pound = 2,740 US dollars

Therefore, 2000 pounds sterling is equivalent to approximately 2,740 US dollars using the exchange rate mentioned above. However, please note that exchange rates can fluctuate over time, so the exact conversion may be different depending on the current exchange rate.

To learn more about dollars here:

https://brainly.com/question/29846475

#SPJ4

Correct Question :

What is the conversion of 2000 pound sterling to dollars ?

Answer:

y = - 140

Step-by-step explanation:

The statement

y varies jointly as x & z is written as

to find y when x = 7 and z = -5 we must first find the relationship between the variables

when y = - 180

z = 15

x = - 3

- 180 = k(15)(-3)

-180 = - 45k

Divide both sides by - 45

k = 4

The formula for the variation is

when

x = 7

z = -5

y = 4(7)(-5)

y = 4(-35)

Hope this helps you

Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.

ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.

ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.

We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
To know more about variance, visit:

https://brainly.com/question/31432390

#SPJ11

True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

To know more about variable visit:

https://brainly.com/question/15078630

#SPJ11

Answer :

C

Explanation :

The feature NOT associated with the function h(x) is that the domain of h(x) is [0.).

The function h(x) is defined as (x - 5)² - log₁ x + 6.

Let's analyze each given option to determine which one is NOT a key feature of h(x).

Option 1 states that the domain of h(x) is [0, ∞).

However, the function h(x) contains a logarithm term, which is only defined for positive values of x.

Therefore, the domain of h(x) is actually (0, ∞).

This option is not a key feature of h(x).

Option 2 states that the x-intercept of h(x) is (5, 0).

To find the x-intercept, we set h(x) = 0 and solve for x. In this case, we have (x - 5)² - log₁ x + 6 = 0.

However, since the logarithm term is always positive, it can never equal zero.

Therefore, the function h(x) does not have an x-intercept at (5, 0).

This option is a key feature of h(x).

Option 3 states that the y-intercept of h(x) is (0, 25).

To find the y-intercept, we set x = 0 and evaluate h(x). Plugging in x = 0, we get (0 - 5)² - log₁ 0 + 6.

However, the logarithm of 0 is undefined, so the y-intercept of h(x) is not (0, 25).

This option is not a key feature of h(x).

Option 4 states that the end behavior of h(x) is as x approaches infinity, h(x) approaches infinity.

This is true because as x becomes larger, the square term (x - 5)² dominates, causing h(x) to approach positive infinity.

This option is a key feature of h(x).

In conclusion, the key feature of h(x) that is NOT mentioned in the given options is that the domain of h(x) is (0, ∞).

Therefore, the correct answer is:

O The domain of h(x) is (0, ∞).

For similar question on domain.

https://brainly.com/question/2264373  

#SPJ8

The derivative of y with respect to x (Dy/Dx) can be found by using implicit differentiation and is equal to (x/y)(Dx/Dx) / (3y - x - y).

The given equation is x/y + y/x = 3y.

To find the derivative of y with respect to x (Dy/Dx), we will use implicit differentiation.

First, we will take the derivative of both sides of the equation with respect to x:

(1/y) * (Dy/Dx) + (1/x) * (Dy/Dx) + (y/x^2) * (Dx/Dx) = (3)(Dy/Dx)

We can simplify this expression by combining the terms with Dy/Dx and Dx/Dx:

(Dy/Dx)(1/y + 1/x + 3) = (y/x^2)(Dx/Dx)

Now we can solve for Dy/Dx by rearranging the equation:

Dy/Dx = (y/x^2)(Dx/Dx) / (1/y + 1/x + 3)

Finally, we can plug in our known values and solve for Dy/Dx:

Dy/Dx = (x/y)(Dx/Dx) / (3y - x - y)

Therefore, the derivative of y with respect to x (Dy/Dx) can be found by using implicit differentiation and is equal to (x/y)(Dx/Dx) / (3y - x - y).

Learn more about  implicit differentiation here:

https://brainly.com/question/11887805

#SPJ4

Tracie would speak approximately 80 words in 120 seconds.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

We can use proportions to solve this problem.

If Tracie speaks 30 words in 45 seconds, then we can set up a proportion to find out how many words she would speak in 120 seconds:

30 words / 45 seconds

= x words / 120 seconds

Now,

45 seconds x (x words) = 30 words x 120 seconds

45x = 3600

x = 80

Therefore,
Tracie would speak approximately 80 words in 120 seconds.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ3

Answer:

otf grandson c or b or a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: 4/5

Step-by-step explanation: It is 8/10, but if you simplify it, it is 4/5.

Answer:

3/5

Step-by-step explanation:

The scale factor is calculated by writing the side length values as fractions following their proportions:

ZW/RV = 15/25 now simplify this by the biggest common divisor (5 in this case)

3/5 is the scale factor.

Answer:

I believe the answer would be 30 people.

Step-by-step explanation:

To calculate the percentage out of a group of people or items, you just multiply the percent (in decimal form) by the amount of people you want it out of. For example: A 0.1% chance out of 1,000 people would be a chance and expectancy of 1 person out of those 1,000 people. In this case it's 3% for every person. 0.03 • 1,000 is 30.

Answer:

looks like it might be 4 but I'm not a 100% sure

Answer: 3/13

Step-by-step explanation:

3 red

10 silver

13 total

picking red: 3/13

Answer:

The given figure is:

a. Polyhedron

c. prism

d. solid

Step-by-step explanation:

First of all, let us consider the given image.

It is a 3 dimensional figure.

It has 2 equal bases which are pentagonal.

Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces.

The faces can be of 'n' number of edges (Polygonal faces).

Its edges are straight, has sharp corners which are also known as vertices.

The given image is a polyhedron as per above definition.

b. Pyramid:

It is also a 3D shape which can have a polygonal base and its faces are triangular which converge on the top to one point.

The given image does not converge to a point on the top, so not a pyramid.

c. Prism:

It is a 3D shape which has it two bases as polygonal structure.

The two bases are equal in shape and size.

There are faces on the body of prism which are formed by joining the edges of the bases.

The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height.

So, the given image is a Solid.

e. Cube:

Cube is a 3D figure, which has all its faces in square shape.

All the sides are equal for a cube.

The given image is not a cube.

f. Polygon:

A polygon is a closed figure in 2 dimensions which has n number of sides.

The given image is not a polygon.

Answer: The given figure is:

a. Polyhedron

c. prism

d. solid

The given figure is a Polyhedron, prism and solid.

A polyhedron is a three-dimensional geometry having plane surfaces connected together with sharp edges and pointed vertices.

First of all, let us consider the given image. It is a 3-dimensional figure. It has 2 equal bases which are pentagonal. Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in the following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces. The faces can be of 'n' number of edges (Polygonal faces). Its edges are straight, has sharp corners which are also known as vertices. The given image is a polyhedron as per the above definition.

c. Prism:

It is a 3D shape which has it two bases as a polygonal structure.The two bases are equal in shape and size. There are faces on the body of prism which are formed by joining the edges of the bases. The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height. So, the given image is a Solid.

To know more about Polyhedrons follow

https://brainly.com/question/24324783

#SPJ5

Answer:

$35

Step-by-step explanation:

To do this you would just add the 2 prices together and you would get $34.53 and you would add 47 cents to that and you would get that Daniel gave $35 to the cashier.