If a is inversely proportional to x, a=15 when x=25 find the constant of variation, k

Answers

Answer 1

Answer:

Step-by-step explanation:

"Inversely proportional to x" in this situation is represented by a = k/x.

Find k:

Let a = 15 and x = 25, then calculate k:

15 = k/25)

Multiplying both sides by 25 yields k = 15(25), or k = 3/5

                       3

and so a = -----------

                      5x


Related Questions

please help!!!! trigonometric ratios !!!

Answers

Answer:

X=47.68degree

Step-by-step explanation:

tanx=56/51

x=tan^(-1)(56/51)

=47.68

Answer:

What do we know?

SOH CAH TOA

SOH stands for opposite + hypotenuse

CAH stands for adjacent + hypotenuse

TOA stands for opposite + hypotenuse

We know from above: the opposite and the hypotenuse

tanx=56/51

x=tan^(-1)(56/51)

=47.68

-hope this helps you get it correct!, if u need anymore help just ask


Find the area of the figure. Round to the nearest tenth.

HELP ASAP!!

Answers

Answer:

A

Step-by-step explanation:

f=1/2(a+b)×h1/2(1.6+4)×22.8×25.6 since to round off 5.6 to the nearest tenth consider the hundredths' value of 5.6 which is 0. therefore the tenths value of 5.6 remains 5.6

After 5 years, Marcel's account earned $900 in interest. If the interest rate (in decimal form) is 0.06, how much did Marcel initially invest?

Answers

Answer:

$3000

Step-by-step explanation:

I= PRT÷100

where,

I = interest = 900

T= 5

R/100 = 0.06

P = ?

I= PRT/100

900= P × 5 × 0.06

P = 900÷ 0.3

P= 3000

According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:

Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6

Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.001. Using the sine regression model predict what the temperature would be given y(30).
a.
58.4 degrees
b.
62.3 degrees
c.
76.8 degrees
d.
86.0 degrees


Please select the best answer from the choices provided

Answers

the average maximum would be C. 76.8 degrees

The sine regression model is [tex]y =20.077 \sin(0.500x- 1.959) + 67.577[/tex], and the value of y(30) is 76.8 degrees

What is a regression model?

A regression model is used to determine the association and correlation between two variables

Using a graphing calculator, the sine regression model of the dataset is:

[tex]y =20.077 \sin(0.500x- 1.959) + 67.577[/tex]

To calculate y(30), we substitute 30 for x in the equation.

So, we have:

[tex]y =20.077 \sin(0.500 * 30- 1.959) + 67.577[/tex]

Evaluate the product

[tex]y =20.077 \sin(15- 1.959) + 67.577[/tex]

Evaluate the difference

[tex]y =20.077 \sin(13.041) + 67.577[/tex]

Evaluate the sine value

[tex]y =20.077 *0.4570+ 67.577[/tex]

Evaluate the product

[tex]y =9.1752+ 67.577[/tex]

Evaluate the sum

[tex]y =76.7522[/tex]

Approximate

[tex]y \approx 76.8[/tex]

Hence, the sine regression model is [tex]y =20.077 \sin(0.500x- 1.959) + 67.577[/tex], and the value of y(30) is 76.8 degrees

Read more about regression models at:

https://brainly.com/question/17844286

Write an equation of the circle with center (-2, 6) and radius 7.

Answers

Answer:

( x + 2 )² + ( y - 6 )² = 49

Step-by-step explanation:

→ Write the form of an equation of a circle

( x - a )² + ( y - b )² = r²

→ Substitute in the centre remembering to switch the signs

( x + 2 )² + ( y - 6 )² = r²

→ Substitute in radius

( x + 2 )² + ( y - 6 )² = 49

PLEASE HELP MEEEEEEEE IM BEGGING

Answers

PLEASE HELP MEEEEEEEE IM BEGGING

Answer:

30 degrees

Step-by-step explanation:

it is 30 degrees

can I PLEASE just get someone to help me...​

Answers

Answer:

the picture is blurry.

Step-by-step explanation:

What is the value of y in the equation 4(5y − 8 − 2) = 145 − 15? (4 points)

a
8.5

b
9.7

c
10.5

d
42.5

Answers

Step-by-step explanation:

[tex]4(5y - 8 - 2) = 145 - 15 \\ 4(5y - 10) = 130 \\ 5y - 10 = 130 \div 4 \\ 5y - 10 = 32.5 \\ 5y = 32.5 + 10 \\ 5y = 42.5 \\ y = 42.5 \div 5 \\ = 8.5 \: or \: 8\frac{1}{2} [/tex]

Answer:

the answer is 8.5

Step-by-step explanation:

Pls help! I am really stuck.
Find the domain of this graph.

Answers

Answer:

8

Step-by-step explanation:

The domain is from the points (-4,0) through (4,0).

Hi then answer is 8 and if this helped can i get a thanks :(((

Triangle MNO is transformed to produce triangle PQR. What transformations guarantee triangles MNO and PQR are congruent

Answers

Answer:

C, D, and E are corrects.

Step-by-step explanation:

Two plane figures are congruent if and only if one can be obtained from the other by a sequence of rigid motions. The rigid transformations are reflection, rotation, and translation. The image from these transformations will not change its size or shape.

A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image.

Therefore only C, D, and E are corrects.

A. a dilation, then a translation

B. a reflection, then a dilation

C. a reflection, then a rotation

D. a rotation, then a translation

E. a translation, then a reflection

The transformations guarantee triangles MNO and PQR are congruent should be considered is option C, D, and E.

What is congruent?

The two plane figures should be considered as the congruent when one should be obtained from the other via the sequence of the fixed motions. Here the right transformation could be in the form of reflection, rotation, and translation.

Also, the image arise form transformations should remain the same with respect to the size or shape.

Therefore only C, D, and E are corrects.

This is an incomplete question. Please find the options below.

A. a dilation, then a translation

B. a reflection, then a dilation

C. a reflection, then a rotation

D. a rotation, then a translation

E. a translation, then a reflection

Learn more about triangle here: https://brainly.com/question/22310382

Based on the graph to the right, describe what is happening as specifically as you can, you do
not need to measure anything accurately.

Answers

it takes less time to get to the school .-.

pls help if you understand thank you

Answers

Answer:

f(5) =7

Step-by-step explanation:

According to the graph,

since y=f(x) thus means the value of y when x=5

the answer is 7

The dot plot shows the favorite sport to play according to some middle school students chosen at random. Which statement is true according to the information in the dot plot ?

Answers

What are the options?

Answer:

B: More than 25% of the students chose football and tennis as their favorite sport to play.

Step-by-step explanation: You need to find the total, which is 50. Since it says more than 25 percent of the students chose football and tennis your answer will need to be more then 25 percent. You add football plus tennis (10+3=13). Now you set up your proportion- 50 as your whole/total, 13 as your part, and substitute you percent with a variable like (p), then 100. Cross multiply. I did a shortcut which replaces the Ice Ice Baby process, so multiply 13x100= 1300, then your product divide it by 50 ( total) 1300/50= 26. This makes the statement true.

10) What changes when a figure is
transformed by a reflection, rotation,
or a translation?
A) its area
C) its position
B) its size
D) its perimeter

Answers

Answer:

size because when a figure is squeezed, it shrinks and changes the size

Answer:

Its Position

Step-by-step explanation:

Reflection-when the shape is reflected over an axis

Rotation-when the shape is rotated around a singular point

Translation-when the shape is moved up/down or left/right

None of these change any part of the shape it just moves the shape around. :)

What relationship CANNOT be used to prove that AABC is congruent to ADEF?


Help please!!!

Answers

Answer:

D) Angle angle angle

If you know angles of all the three sides (Angle-Angle-Angle), that STILL wouldn’t help because no triangle can be drawn only knowing angles, no matter how many angles you know!

15+26+56+19+17+19+9+19

Answers

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Which of the following statements about the similarity between rectangles and squares is not true?
Both rectangles and squares are quadrilaterals.

Both rectangles and squares have two sets of parallel sides.

Both rectangles and squares have four right angles.

Both rectangles and squares have four sides of equal length.

Answers

Answer:

Both rectangles and squares have four sides of equal length

(07.08 LC)
The table below shows the values of y for different values of x:

x y
0
0
1
5
2
10
3
15

Answers

Answer:

b bro

Step-by-step explanation:

If f(x) equals X-1 which of the following is the inverse of f(x)

Answers

Answer:

40.86 28.98

Step-by-step explanation:

because if its wrong then it is racist

Mrs. King has earned a pay increase. Her starting salary
was $36,000. Her new salary is 110% of her starting salary.
What is her new salary?

Answers

Answer:

39,600

Step-by-step explanation:

Free answer

Jeylynn drew a quadrilateral on the coordinate grid shown below.

If she reflects the quadrilateral across the x-axis, what are the new coordinates of the vertices of the quadrilateral? Drag and drop four ordered pairs to the appropriate boxes for each vertex.

P᾿ =
Q᾿ =
R᾿ =
S᾿ =

Answers

Answer:

P = (-3,-2)

Q = (-3,-8)

R = (-8,-8)

S = (-8,-2)

Step-by-step explanation:

Answer:

P = (-3,-2)

Q = (-3,-8)

R = (-8,-8)

S = (-8,-2)

Step-by-step explanation:

Determine whether each point is a solution of y = 3x – 8.
a. (0, -8)
b. (6,-10) C. (-2,-2)
d. (4,4)
HELP ILL GIVE BRAINLIEST

Answers

Answer:

B and C are not the solution of y=3x-8

A and D are the solution of y=3x-8

Substitute x-values to the equation.

Remember that (x, y).

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

0.25 x + 34 y equals 4 then whatever x + y = will be the next fight

Step-by-step explanation:

according according to whatever the outcome was then fill in the blank

Will give brainliest
Answer choices:
Yes
No

Answers

Answer:

No

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

A survey in one middle school bowed that 2 out of 9 students help cook meals at
home. Predict how mery art of the 774 students in the school help cook meals at
home.

Answers

172, I looked at the answer key :D

Find the terminal point on the unit circle determined by
5pi4
radians.
Use exact values, not decimal approximations.

Answers

Use Conects it’s a better app for math hope this helps

Rei is barricading a door to stop a horde of zombies. She stacks boxes of books on a table in front of the door. Each box weighs 30 kilograms, and the table with 8 boxes on top weighs a total of 310 kilograms.
The total weight W of the barricade in kilograms is a function of x, the number of boxes Rei stacks on the table.
Write the function's formula.
W, equals

Answers

Answer: The answer is W=70+30x

Step-by-step explanation: Given that Rei is barricading a door to stop a horde of zombies by satcking boxes of books on a table in front of the door.

The weight of each box is 30 kilograms and the weight of the table with 8 boxes on the top is 310 kilograms.

Therefore, the weight of the table without boxes is 70 kilograms.

Now, if 'W' is the total weight of the barricade, then it can be written as a function of 'x', the number of boxes Rei stacks on the table. The expression is as follows -

So, if 'g' denotes the weight of the table alone, then we have,

please help i don’t understand

Answers

Answer:

18.38

Explanation:

since this triangle is a right-angled triangle and one its angles equals 45° then it's an isosceles right triangle which means that the side opposite 45° (the side to the left) is equal to 13 too.

so according to pythagoras theorem c = √(a²+b²)

x =√(13²+13²)

x = √(169+169)

x = √338

x ≈ 18.38

note: in the question it's mentioned to find y! and I believe it is just an error! it's about to find x and that's more resonable!

HELP!! ILL MARK BRAINLIEST

Answers

Answer:

a

Step-by-step explanation:

youre welcome

PLEASE HELP ME can someone explain and give the answer

Answers

Answer:

[tex] {eb}^{2} = {ab}^{2} + {ea}^{2} \\ {ab}^{2} = {eb}^{2} - {ea}^{2} \\ {ab}^{2} = {20}^{2} - {12}^{2} \\ ab = 16 \\ \\ {db}^{2} = {bc}^{2} + {dc}^{2} \\ {bc}^{2} = {db}^{2} - {dc}^{2} \\ {bc}^{2} = {20}^{2} - {16}^{2} \\ bc = 12 \\ \\ so \: ac = ab + bc \\ ac = 28[/tex]

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