True or False: 2y = -3x + 8 is an equation that represents a line parallel to the line 6x + 2y = 9.

Answer:

a

Step-by-step explanation

-(575+266+75)+638

Answer:

Area of square = 12.48 cm^2  

Step-by-step explanation:

Since the square has all sides equal, and when diagonal is made, square form two right angled triangles. Using Pythagoras theorem we can find the length of side of the square.

[tex]c^2 = a^2 + b^2[/tex]

where c = 5cm and a==b (square has all sides equal)

Putting value of b = a

[tex](5)^2 = a^2 + a^2\\25 = 2 a^2\\25/2 = a^2\\=> a^2 = 12.5\\ => \sqrt{a^2} = \sqrt{12.5}\\=> a = 3.53\, cm[/tex]

So, length of side of square = 3.53

Area of square = (3.53)^2

Area of square = 12.48 cm^2.  

The answer is:

The area of the given square is equal to [tex]12.5cm^{2}[/tex]

[tex]Area=12.5cm^{2}[/tex]

To solve the problem, we don't need to calculate the length of the sides of the square. We are given the diagonal length of the square, so using the following formula, we can calculate the are of the square without knowing the sides:

[tex]Area=\frac{diagonal^{2} }{2}[/tex]

So, substituting we have:

[tex]Area=\frac{(5cm)^{2} }{2}=\frac{25cm^{2} }{2}=12.5cm^{2}[/tex]

Hence, we have that the area of the given square is equal to [tex]12.5cm^{2}[/tex]

Have a nice day!

Answer: The answer to your question is B.

Step-by-step explanation:

Answer:

42,223 gallons

Step-by-step explanation:

Find the volume of the pool and then multiply that by the conversion factor 1 ft³: 7.5 gallons.

If the pool diameter is 32 feet, then the pool radius is 16 feet.

The volume here is V = πr²h, or V = π(16 ft)²(7 ft) = 5629.73 ft³

Multiplying this volume by 1 ft³: 7.5 gallons, we get:

(5630 ft³)(7.5 gallons / 1 ft³) = 42,223 gallons

Answer:

d

Step-by-step explanation:

a, b, and c are independent, because they don't necessarily affect the probability of each other.

In summary, the pair of events that are dependent is drawing a black sock from a drawer and then drawing another without replacement. This is because the first event changes the conditions for the second, affecting its probability.

Whether two events are dependent or independent affects the calculation of their probability. Independent events have no impact on the likelihood of each other occurring, while dependent events do.

Thus, Event d is the pair of dependent events.

[tex]\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ \cline{1-1} a_1=21\\ r=2\\ n=25 \end{cases} \\\\\\ S_{25}=21\left( \cfrac{1-2^{25}}{1-2} \right)\implies S_{25}=21\left( \cfrac{-33554431}{-1} \right) \\\\\\ S_{25}=21(33554431)\implies S_{25}=704643051[/tex]

Answer: [tex]2x^4+2x+10[/tex]

Step-by-step explanation:

You need to remember the mulplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]

Knowing this, you can distributive the negative sign. Then you get:

[tex](-7x- 5x^4 + 5) - (-7x^4 - 5 - 9x)=-7x- 5x^4 + 5 +7x^4 + 5 + 9x[/tex]

Now you need to add the like terms. Then:

[tex]=2x+2x^4+10[/tex]

Finally, you can order the polynomial obtained in descending order. Therefore, the answer is:

[tex]=2x^4+2x+10[/tex]

⇛{5(√7+√5)}/2.

Step-by-step explanation:

Given,

5/(√7-√5)

The denominator is √7-√5.

We know that

The rationalising factor of √c-√a is √c+√a.

Therefore, the rationalising factor of √7-√5 is √7+√5. To rationalise the denominator of 5/(√7-√5), we multiply this by (√7+√5)/(√7+√5).

⇛{5/(√7-√5)}/{(√7+√5)/(√7+√5)}

⇛{5(√7+√5)}/{(√7-√5)(√7+√5)}

⇛{5(√7+√5)}/{(√7)²-(√5)} [∵ (a-b)(a+b)=a²-b²]

⇛{5(√7+√5)}/{(√7*7)-(√5*5)}

⇛{5(√7+√5)}/(7-5)

⇛{5(√7+√5)}/2

Hence, the denominator is rationalised.

Read more:

Similar Question;

rationalise the denominator 1/√20..

https://brainly.com/question/19473806?referrer

Answer:

Step-by-step explanation:

We have the square in the base with side a = 4in and four triangles with base a = 4in and height h = 6.9in.

The formula of an area of a square:

A = a²

Substitute:

As = 4² = 16 in²

The formula of an area of a triangle:

A = (ah)/2

Substitute:

At = [(4)(6.9)]/2 = 27.6/2 = 13.8 in²

The Surface Area:

S.A. = As + 4At

Substitute:

S.A. = 16 + 4(13.8) = 16 + 55.2 = 71.2 in²

Answer:

(fog)(-2)=-5

Step-by-step explanation:

Given

f(x)= -7x+2

and

g(x)= √(x+3)

For finding (fog)(-2), we have to find (fog)(x) first

In order to find (fog)(x) we will put the value of g(x) in f(x) in place of x.

(fog)(x)= -7g(x)+2

Putting the value of g(x)  

(fog)(x)= -7√(x+3)+2

We have to find (fog)(-2), so we have to put at the place of x in the composition

(fog)(-2)= -7√(-2+3)+2

(fog)(-2)= -7√1+2

= -7(1)+2

= -7+2

=-5

So,

(fog)(-2)=-5

For this case we have the following equations:[tex]f (x) = - 7x + 2\\g (x) = \sqrt {x + 3}[/tex]

We must find [tex](f_ {o} g) (x):[/tex]

By definition of composition of functions we have to:

[tex](f_ {o} g) (x) = f (g (x))[/tex]

So:

[tex](f_ {o} g) (x) = - 7 \sqrt {x + 3} +2[/tex]

Now, we find f (g (-2)):

[tex](f_ {o} g) (- 2) = - 7 \sqrt {-2 + 3} + 2 = -7 \sqrt {1} + 2 = -7 + 2 = -5[/tex]

ANswer:

-5

The more plot point the better but you must have at least three  points, a labeled X-axis and Y-axis, and a table for the data to be organized into.

Answer:

See the explanation below

Step-by-step explanation:

Scatter plot is a graph that employs Cartesian coordinates to show the values of typically two variables plotted on the horizontal and vertical axes for a given set of data. The name of the relationship between the two variables that is shown by the scatter plot is referred to as correlation.

The following are the features of a scatter plot:

1. An X axis also known as the horizontal axis), and a Y axis which is also known as the vertical axis.The reason for these two axes is to obtain the Cartesian coordinates of the two variables X and Y.

2. Dots: There are must be dots on a scatter graph. The purpose of each of the dots is to indicate one observation of the data set.

3. Unique position of each dot: The purpose of the position of each dot is to indicate the meeting point of X and Y values.

The median of these numbers is: 7

3,4,5,5,6,7,7,8,10,10,10

Answer:

the median would be 7

Step-by-step explanation:

Set of transformations is a set conditioned by a function that transforms element from definition set to transformation set.

[tex]f: A\longrightarrow B[/tex], where A is definition set and B is transformation set.

Here is an example.

You are given definition set [tex]A=\{1, 2, 3\}[/tex] and a function [tex]f(x)=x^2[/tex]. To calculate which elements are in transformation set we write [tex]f(A)=\{1, 2, 3\}^2={1, 4, 9}\Longrightarrow\boxed{B=\{1, 4, 9\}}[/tex] and B is now the transformation set of definition set A that is conditioned by function f.

Hope this helps.

r3t40

Final answer:

To calculate the value of Jack's investment after one year, we can use the formula for simple interest: Simple Interest = Principal x Rate x Time. Plugging in the values, we find that Jack's investment will be worth $5,340.72 after one year.

Explanation:

To calculate the value of Jack's investment after one year, we can use the formula for simple interest:

Simple Interest = Principal x Rate x Time

In this case, the principal is $5,280, the rate is 1.15% (which can be written as 0.0115), and the time is one year. Plugging in these values, we get:

Simple Interest = $5,280 x 0.0115 x 1 = $60.72

To find out the total value of the investment after one year, we need to add the simple interest to the principal amount:

Total Value = Principal + Simple Interest = $5,280 + $60.72 = $5,340.72

Therefore, Jack's investment will be worth $5,340.72 after one year.

ANSWER

[tex]( - \infty , - \frac{4}{3} ) \cup( \frac{1}{2} , \infty )[/tex]

EXPLANATION

The given function is

[tex]f(x) = \sqrt{ \frac{2x - 1}{3x + 4} } [/tex]

The domain refers to all values of x for which f(x) is defined.

This function is defined if

[tex] \frac{2x - 1}{3x + 4} > 0[/tex]

This implies that

[tex]x \: < \: - \frac{4}{3} \: or \: x \: > \: \frac{1}{2} [/tex]

Or

[tex]( - \infty , - \frac{4}{3} ) \cup( \frac{1}{2} , \infty )[/tex]

Answer:

You did not give me any graphs but I've dealt with this question and the answer is: The Double Bar Graph if you have the graph that was put for my answer. Good luck, hope this helps. Double Bar Graph information:  Vertical double-bar graph with title Books Checked Out. Key shows grey equals boys and pink equals girls. Data graphed is Biography 8 boys and 10 girls, Mystery 18 boys and 15 girls, Science 14 boys and 11 girls, and Sports 12 boys and 14 girls.

Heres the graphs xd (I have the same test)

ANSWER

r is not a set of ordered pair

EXPLANATION

A relation is a correspondence between two sets.

In a relation, the elements from one set set (domain) maps on to the elements in a second set(co-domain).

The relation can then be written as an ordered pair (x,y).

The given listing is

r={√3,√5,√7, √13}

This is not an ordered pair so it cannot be a relation.

The third choice is correct.

Answer:

Choice C is correct, r is not a set of ordered pairs

Step-by-step explanation:

A relation between sets of data is a collection of ordered pairs which contain one object from each set. If the element x is from the first set and its corresponding object y from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.

X comprises of the domain while Y makes up the range.

Therefore, r is not a relation since it is not a set of ordered pairs.

The graph fourth represents the inequality x ≤ 4000 if in the past 15 years, a business owner has made at most $4,000 in profits each week option fourth is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have:

Over the past 15 years, a business owner has made at most $4,000 in profits each week.

So the peak value is $4,000

Let's suppose the business owner earns $x profit each week, then we can frame an inequality:

x ≤ 4000

From the above inequality, the value of x will be:

x belongs to (0, 4000)

Thus, the graph fourth represents the inequality x ≤ 4000 if in the past 15 years, a business owner has made at most $4,000 in profits each week option fourth is correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ2

It’s a trapezoid would be the answer

Answer:

The answer is below :)

Step-by-step explanation:

Answer:

1. 5:3:2

2. 4:5

3. 6:5

4. 2:5:6

5. 2:5

6. 7:5

7. 3:1:2

8. 1.0:0.6

9. 1:1.5

10. 0.2:0.5:0.8

Step-by-step explanation:

1. divide everything by 3

2. divide everything by 4

3. divide everything by 6

4. divide everything by 6

5. divide everything by 6

6. divide everything by 8

7. divide everything by 4

8. divide everything by 7

9. divide everything by 3

10. divide everything by 6

Answer::

1. 5:3:2

2. 4:5

3. 6:5

4. 2:5:6

5. 2:5

6. 7:5

7. 3:1:2

8. 1.0:0.6

9. 1:1.5

10. 0.2:0.5:0.8

I hope this helps! :-)

Answer:

x = 15/13

Step-by-step explanation:

3/13 = x/5

Using cross products

13*x = 3*5

13x = 15

Divide each side by 13

13x/13 = 15/13

x = 15/13

Answer:

First question: The common ratio r is 3

Second question: The average rate of change is 297.92

Third question: The function's graph of h(x) = 0.5(2^x) + 0.5 has a

y-intercept of 1

Fourth question: The ordered pairs lie on the graph of f(x) are (2 , 18)

and (0 , 2)

Step-by-step explanation:

First question:

* Lets revise the rule of the geometric sequence

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)

* General term (nth term) of a Geometric sequence:

- U1 = a  ,  U2  = ar  ,  U3  = ar2  ,  U4 = ar3  ,  U5 = ar4

- Un = ar^n-1, where a is the first term , r is the constant ratio

 between each two consecutive terms  and n is the position

 of the term in the sequence

* Now lets solve the question

∵ The sequence is 16 , 48 , 144 , 432 , ................

∵ a = 16

∵ ar = 48

∴ r = 48/16 = 3

∴ The sequence is geometric withe common ratio 3

* The common ratio r is 3

Second question:

* Lets revise the average rate of change of a function

- When you calculate the average rate of change of a function,

  you are finding the slope of the secant line between the two points

  on the function

- Average Rate of Change  for the function y = f (x) between

 x = a and x = b is:

 change of y/change of x = [f(b) - f(a)]/(b - a)

* Now lets solve the problem

∵ g(x) = 50(12^x), where x ∈ [-1 , 1]

∵ a = -1 and b = 1

∵ f(-1) = 50(12^-1) = 50/12

∵ f(1) = 50(12^1) = 600

∴ Average Rate of Change  = [600 - 50/12]/[1 - (-1)]

∴ Average Rate of Change  = [595.8333]/[2] = 297.92

* The average rate of change is 297.92

Third question:

* Lets talk about the y- intercept

- When any graph intersect the y-axis at point (0 , c), we called

 c the y-intercept

- To find the y- intercept, substitute the value of x in the

  function by zero

* Now lets check which answer will give y- intercept = 1

∵ h(x) = 0.5(2^x) + 0.5 ⇒ put x = 0

∴ h(0) = 0.5(2^0) + 0.5 = 0.5(1) + 0.5 = 1

∵ h(x) = (0.5)^x + 1 ⇒ put x = 0

∴ h(0) = (0.5)^0 + 1 = 1 + 1 = 2

∵ h(x) = 5(2^x) ⇒ put x = 0

∴ h(0) = 5(2^0) = 5(1) = 5

∵ h(x) = 5(0.5)^x + 0.5

∴ h(0) = 5(0.5)^0 + 0.5 = 5(1) + 0.5 = 5.5

* The function's graph of h(x) = 0.5(2^x) + 0.5 has a y-intercept of 1

Fourth question:

* Lets study how to find a point lies on a graph

- When we substitute the value of x of the point in the function

 and give us the same value of y of the point, then the point

 lies on the graph

* Now lets solve the problem

∵ f(x) = 2(3)^x

∵ The point is (2 , 18) ⇒ put x = 2

∴ f(2) = 2(3)² = 2(9) = 18 ⇒ the same y of the point

∴ The point (2 , 18) lies on f(x)

∵ The point is (0 , 2) ⇒ put x = 0

∴ f(0) = 2(3)^0 = 2(1) = 2 ⇒ the same y of the point

∴ The point (0 , 2) lies on f(x)

∵ The point is (-1 , 1) ⇒ put x = -1

∴ f(-1) = 2(3)^-1 = 2(1/3) = 2/3 ⇒ not the same y of the point

∴ The point (-1 , 1) does not lie on f(x)

∵ The point is (3 , 56) ⇒ put x = 3

∴ f(3) = 2(3)³ = 2(27) = 54 ⇒ not the same y of the point

∴ The point (3 , 56) does not lie on f(x)

* The ordered pairs lie on the graph of f(x) are (2 , 18) and (0 , 2)

Answer:

3eeddw

Step-by-step explanation:

Answer:

It all depends on the type of coins stacked

The stack of coins with the greatest volume is the one with the largest number of coins and the largest diameter.

Final Answer: The stack of coins with the greatest volume is the one with the largest number of coins and the largest diameter.

To calculate the volume of a stack of coins, we can use the formula for the volume of a cylinder,[tex]V = πr^2h,[/tex] where V is the volume, r is the radius of the coin, and h is the height of the stack.

Since each stack has the same height, we only need to compare the volumes based on the number of coins and their diameter.

First, let's assume the radius of each coin is r and the height of each stack is h. Let's denote the number of coins in each stack as n.

Now, let's calculate the volume for each stack:

1. Stack 1: Volume = [tex]πr^2 * h * n1[/tex]

2. Stack 2: Volume = [tex]πr^2 * h * n2[/tex]

3. Stack 3: Volume = [tex]πr^2 * h * n3[/tex]

Since all stacks have the same height (h), we can disregard it in the comparison.

To compare the volumes, we need to compare the number of coins (n) and the radius of the coins (r).

Let's assume Stack 1 has the largest number of coins, followed by Stack 2 and then Stack 3.

If all stacks have the same number of coins, then the one with the largest diameter (which is the radius times 2) would have the greatest volume.

After calculating the volumes for each stack, we can determine which stack has the greatest volume based on the number of coins and their diameter.

Complete question:

If each stack of coins has the same height, which stack of coins has the greatest volume?

Answer:

[tex]\large\boxed{y-1=-4(x+3)}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have m = -4 and the point (-3, 1). Substitute:

[tex]y-1=-4(x-(-3))\\\\y-1=-4(x+3)[/tex]

Answer:

y-1=-4[x-(-3)]

Step-by-step explanation:

Answer:

A. (x - 1)(x - 8)

Step-by-step explanation:

By looking at the graph, we can see that the polynomial has roots at x = 1 and 8. This means that the function in factored form would look like (x - 1)(x - 8).

Answer:

A) (x - 1)(x - 8)

Step-by-step explanation:

Apex

C=$0.25m+$15 because 0.25 is the slope and 15 is the y-intercept.

C stands for Cost

M stands for Minute

Final answer:

The cost of international calls can be calculated using the explicit function rule C(m) = 15 + 0.25m, where m is the number of minutes and $15 is the flat fee.

Explanation:

The student asks for an explicit function rule that represents the monthly cost of international calls given a $15 flat fee and a rate of $0.25 per minute. To address this, we introduce a function where C(m) represents the total cost of making international calls for m minutes in a month.

The cost function is C(m) = 15 + 0.25m. The term $15 flat fee is the initial cost regardless of call duration, and $0.25 per minute is the variable rate that depends on the total minutes used.

If for example, a user talked for 100 minutes, the calculation would be C(100) = 15 + 0.25(100) = 15 + 25 = $40.

For this case we have the following functions:

[tex]f (x) = x ^ 2\\g (x) = x-3[/tex]

We must find[tex](g_ {0} f) (x)[/tex]

By definition we have to:

[tex](g_ {0} f) (x) = g (f (x))[/tex]

So:

[tex]g (f (x)) = (x ^ 2) -3 = x ^ 2-3[/tex]

We must evaluate the composite function for [tex]x = -2[/tex]

[tex]g (f (-2)) = (- 2) ^ 2-3 = 4-3 = 1[/tex]

ANswer:

[tex]g (f (-2)) = 1[/tex]

ANSWER

1

EXPLANATION

The given functions are:

[tex]f(x) = {x}^{2} [/tex]

and

[tex]g(x) = x - 3[/tex]

[tex](g \circ \: f)(x) = f(g(x))[/tex]

[tex](g \circ \: f)(x) = g( {x}^{2} )[/tex]

[tex](g \circ \: f)(x) = {x}^{2} - 3[/tex]

We substitute x=-2 to obtain;

[tex](g \circ \: f)( - 2) = {( - 2)}^{2} - 3[/tex]

We simplify to obtain:

[tex](g \circ \: f)( - 2) = 4- 3[/tex]

[tex](g \circ \: f)( - 2) = 1[/tex]

The first choice is correct.

Answer: [tex]P=14units[/tex]

Step-by-step explanation:

The perimeter of a triangle is the sum of the lenghts of its sides.

Given the triangle ABC , its perimeter will be:

[tex]P=AB+BC+CA[/tex]

Then, you know that the lenghts of the sids of the triangle ABC are:

[tex]AB=3units\\BC=5units\\CA=\sqrt{(3)^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}=5.83units[/tex]

Therefore, to find the perimeter of this triangle, you need to substitute these lengthts into the formula [tex]P=AB+BC+CA[/tex].

So, the perimeter of the triangle ABC is:

[tex]P=3units+5units+5.83units=13.83units[/tex]

To the nearest whole unit is:

[tex]P=14units[/tex]

Answer:

14 units

Step-by-step explanation:

.

Answer:

True for B)y=-4x^2+9

Step-by-step explanation:

The a part of the equation is negative (-4x^2), and this quadratic function has a maximum, which means it opens down not up.

(I hope this helps)

8x+7x=6x+28

15x=6x+28

15x-6x=28

9x=28

X=28/9

I hope this helps