f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16
ANSWER :By question , f is inversely proportional to square root of g. In mathematical form ,
[tex]\implies f \propto \dfrac{1}{\sqrt g}[/tex]
Let k be constant . So that ,
[tex]\implies f =k \dfrac{1}{\sqrt g}[/tex]
When f = 8 , g is 25. So that ,
[tex]\implies 8= k\dfrac{1}{\sqrt {85}}[/tex]
[tex]\implies k = 8\sqrt{25} [/tex]
Hence the value of constant is 8√25.
So that when g is 16 ,
[tex]\implies f = 8\sqrt{25} \times 1/ \sqrt{16}\\\\\implies f = 8*5 / 4 \\\\\implies \boxed{ f = 10 } [/tex]
Hence the Value of f is 10 .
can someone please help me with this?? im trying to retake this test and correct a few questions
Line CB is tangent to circle A at point B. The measure of angle CBA is ___ degrees.
Answer:
90° is rhe correct answer..
find the mean and the median of the following data
number 1: 7, 6, 8, 12 ,15 ,7
number 2: 15 ,200 ,100, 130, 7
number 3: 60, 19, 12, 2 ,7 ,9
Answer:
Hope this helped! <3
Step-by-step explanation:
the median for number 1 is: 7.5 and the mean is 9.16667
the median for number 2 is: 100 and the mean is 90.4
the median for number 3 is: 10.5 and the mean is 18.16667
Answer:
Hi!
number 1: median: 8, 12 or 10
number 2: median: 100
number 3: median: 12, 2 or 7
number 1: mean: 9.16
number 2: mean: 90.4
number 3: mean: 18.16
Step-by-step explanation:
The mean is just all the numbers added up in a data set divided by how many numbers are in the data set. That gets you the average
The median is just the number in the middle of the data set.
Also for the first the median is either 10 or both 8 and 12 Because there's not 1 number in the middle it can be 8 and 12 of you want it averaged them it would be 10 I dont know which you want so you would have to figure that out
same with number 3
Also for the means it might vary depending if you need to round or not
Dilate the figure by the scale factor. Then enter
the new coordinates.
K= 7
A(-3,2)
(4.2)B
C(-1,-1)
A' ([?], [])
B' ([], []).
C'([], []).
Answers:
A ' ( -21, 14 )B ' ( 28, 14 )C ' ( -7, -7 )=========================================
Explanation:
The scale factor is k = 7. This tells us to multiply each coordinate, of each point, by the scale factor to get the dilated points.
For example, point A is at (-3, 2) and moves to A ' (-21, 14) after multiplying the x,y coordinates by 7. The same applies for points B and C as well.
The dilation rule can be written as [tex](x,y) \to (7x, 7y)[/tex]
As a result of the dilation, triangle A'B'C' has sides that are 7 times longer compared to the corresponding sides of triangle ABC.
Example: side AB = 7 units, side A'B' = 49 units
To determine which window cleaner is most effective, Thad washes half of the windows in his house with one brand and the other half with a different brand. He then compares the results to draw a conclusion about which cleaner is most effective.
What kind of statistical study did Thad conduct?
A.
survey
B.
observational study
C.
theoretical study
D.
experiment
Answer:
the answer for the question is D,experiment
The kind of statistical study that Thad Conducted is called; Experiment
How to Identify Statistical Study?We ae told that we want to determine the cleaner that has the best effectiveness.
Now, since he compares the result of washing with let's say brand A to the result of washing with maybe brand B, then we can say that it is called an experiment due to the fact that it involves the procedure used to determine the efficacy or likelihood of something.
Read more about Statistical Study at; https://brainly.com/question/17149873
#SPJ2
Please help?!?!
Thanjss
Answer:
Step-by-step explanation:
y= mx+ b helps you find the equations of the lines
y= x+2 is the line with slope m=1, and y-intercept b=2
y= -4x-3 is the line with slope m=-4, and y-intercept b=-3
y > x+2 because is a dotted line
y ≤ -4x-3 because is a solid line
Answer:
aha i see yo bbg
Step-by-step explanation:
(lipbite)
PLEASE HELP!
A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.
what is the speed of the person from point c to point d?
Answer:
A
Step-by-step explanation:
What other methods could be used to ensure parallel rails (any method, not just the geometry kinds)?
Answer:
use of Wires , Clamps , and measuring tools
Step-by-step explanation:
To ensure parallel rails we can use : Wires , Clamps , and measuring tools as well
The use of wires are very effective and most stressful and they are used mostly when working with wooden rails , while you can use Clamps and other measuring tools for every kind of rails to ensure they are parallel.
please answer quickly
expand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)
Answer: 14x^2-93xy+60y^2 Hope that helps!
Step-by-step explanation:
1. Expand by distributing terms
(20x-12y)(x-4y)-(3x-4y)(2x+3y)
2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd
20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)
3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd
20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)
4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2
5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)
6. Simplify.
And your answer would be 14x^2-93xy+60y^2
PLEASE HELP ASAP FAST HURRY
The graph below shows the relationship between the number of tickets sold for a music concert and the amount of money collected from the sale of the tickets. (1 pt.)
Which equation represents the relationship between the tickets sold (t) and the money collected (c)?
I need answer Immediately pls!!!!!!!
Answer:
x = 4.4
Step-by-step explanation:
Flat cost = $57.5/month
Cost of 1GB = $4
But Aubrey wants to keep her bill at $75.1/month.
Let 'x' be the number of GBs she can use while staying within her budget.
So, the equation will be → 4x + 57.5 = 75.1
Now, solve the equation :-
Substract both the sides from 57.5[tex]=> 4x + 57.5 - 57.5 = 75.1 - 57.5[/tex]
[tex]=> 4x = 17.6[/tex]
Divide both the sides by 4[tex]=> \frac{4x}{4} = \frac{17.6}{4}[/tex]
[tex]=> x = 4.4[/tex]
A laptop is in the shape of a rectangular prism. The laptop has a length of 14
inches, a width of 10 inches, and a height of 1.5 inches.
What is the volume of the laptop?
Answer:
V=210 square inches
Step-by-step explanation:
Volume formula for a rectangular prism is V=lwh
So Volume=Length x Width x Height
V= 14 x 10 x 1.5
V=210 square inches
What are the solutions to the equation x² + 16x + 14 = 0?
Answer:
-8+5√2 and -8-5√2
Step-by-step explanation:
Given the expression x² + 16x + 14 = 0
USing the general formulas
x = -16±√16²-4(14)/2
x = -16±√256-56/2
x = -16±√200/2
x = -16±10√2/2
x = -8±5√2
Hence the required solutions are -8+5√2 and -8-5√2
PLEASE HELP QUICK.HELP. PLEASE EXPLAIN HOW TO FIND ANSWER ASWELL
Answer:
gradient = 1
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line
m = [tex]\frac{1-0}{0-(-1)}[/tex] = [tex]\frac{1}{1}[/tex] = 1
Find the domain of the relation.
{(6,3),(8,3),(4,-4),(4,0),(-2,-9)
Answer:
The domain is -2,4,6,8
Step-by-step explanation:
The domain is the input values
6,8,4,4,-2
We only need to write the repeat values once
The domain is -2,4,6,8
Find the area of the isosceles triangle
Answer:
Step-by-step explanation:The area of an isosceles triangle is the amount of space enclosed between the sides of the triangle. Besides the general area of the isosceles triangle formula, which is equal to half the product of the base and height of the triangle, different formulas are used to calculate the area of triangles, depending upon their classification based on sides. These different types based on sides are given below:
Equilateral Triangle- A triangle with all sides equal.
Isosceles Triangle- A triangle with any two sides/angles equal.
Scalene Triangle- A triangle with all unequal sides.
Need help on this question asap I would really appreciate it please
Answer:
Volume of cube = 512 inch³
Volume of sphere = 268 inch³ (Approx.)
Volume of empty space = 244 inch³
Step-by-step explanation:
Given:
Side length of cube = 8 inches
radius of sphere = 4 inches
Find:
Volume of cube
Volume of sphere
Volume of empty space
Computation:
Volume of cube = Side³
Volume of cube = 8³
Volume of cube = 512 inch³
Volume of sphere = (4/3)πr³
Volume of sphere = (4/3)(3.14)(4)³
Volume of sphere = 268 inch³ (Approx.)
Volume of empty space = Volume of cube - Volume of sphere
Volume of empty space = 512 - 268
Volume of empty space = 244 inch³
Is a 12 oz. bag of takis chips for $3.40 better than a 3 oz. bag of takis chips for $0.75 ??
Answer:
Yes, it is better.
Step-by-step explanation:
3 oz. = $0.75
multiply each by 4
12 oz. = $3
Answer:
NO
Step-by-step explanation:
(4) 3oz bags are 12 ounces
0.75 * 4 = $3.00
So the 12 oz bag is not a good buy.
Mr. Blake took 10 minutes to drive 5 miles,
He claims it will take half an hour to drive 15 more miles at the same rate.
Select all the statements that are true if Mr. Blake claim is true.
1. He will travel 2 miles per minute.
2. Hw would travel 50 miles in 25 minutes.
3. He will travel 1 mile for every 2 minutes.
4. He will travel at a rate of 30 miles per hour.
5. The ratio of miles driven to minutes traveled is 1:2.
Answer:
The correct answer is - 3, 4, and 5.
Step-by-step explanation:
Given:
distance = 5 miles
time to cover 5 miles = 10 minutes
If his claim is true then,
additional Distance = 15 miles
total distance will be = 15+5 = 20 miles
additional time = 30 minutes
total time = 10+30 = 40 minutes
Solution:
The speed of the vehicle can be calculated by the formula:
V = d/t
where V is speed or velocity
d = distance
t = time
Putting the final or total values in formula =
V = 20/40
= 1/2 (5th statement is true)
In an hour where 60 minutes are there, 1/2 = 30 miles per hour.
Thus, 3rd and 4th statement are true.
can someone help me with this problem
Answer:
x = 3
Step-by-step explanation:
5(5 + 19) = 6(6 + 4x + 2)
5(24) = 36 + 24x + 12
120 = 48 + 24x
72 = 24x
x = 3
3
Select the correct answer.
Which data set has the greatest spread for the middle 50% of its data?
O A. {18, 13, 22, 17, 21, 24}
OB.
{17, 19, 22, 26, 17, 14}
Ос.
{13, 17, 12, 21, 18, 20}
D.
{18, 21, 16, 22, 24, 15)
Reset
Next
Answer:
D
Step-by-step explanation:
hey! i’ll give brainliest please help
Answer:
D
hope this helps
have a good day :)
Step-by-step explanation:
which exponential expression is equivalent to one below?
Answer:
C. 21^10
Step-by-step explanation:
(3 * 7)^10 = 16679880978201
May someone please help me?
Answer:
The 3rd table
Step-by-step explanation:
The x values are dividing by 5 to get the y values. The table is proportional because it's a pattern not just random values.
PLEASE HELP WITH GEOMETRY!!
Answer:
x = 14.1
Step-by-step explanation:
sin (40) = x/22
x = 22 (sin(40))
x = 14.1
Chloe divides an hour of revision up between maths and english in the ratio 3:2. how much does she spend revising maths?
Answer:
Step-by-step explanation:
let chloe revise maths for x minutes
3/2=x/30
do cross multiplication
2x=30*3
x=90/2
x=45
therefore chloe takes 45 minute to revise maths.
Solve the expression for a=12 , b=6 and c=3
Answer:
48
Step-by-step explanation:
[tex]a = 12, \ b = 6, \ c = 3\\\\b^2 - c^2 + (a+ b+c) = 6^2 - 3^2 + (12 +6+3) = 36-9+21 = 48[/tex]
Answer:
2-12+(++)
b^{2}-1c^{2}+(a+b+c)
b2−1c2+(a+b+c)
Simplify: 1
Eliminate redundant parentheses
2−12+(++)
b^{2}-1c^{2}+(a+b+c)
b2−1c2+(a+b+c)
2−12+++
b^{2}-1c^{2}+a+b+c
b2−1c2+a+b+c
Solution: 2−12+++
b^{2}-1c^{2}+a+b+c
b2−1c2+a+b+c
Write the exponential function
Answer: f(x)=3(2)^x (The second option)
Step-by-step explanation:
By plugging in x values from the chart into this equation, we can see it matches. For example, lets use x=3. 3*(2)^3 = 3*2*2*2 = 3*8 = 24. And 24 lines up with 3 on the chart. Solved!
25+35j+55p
Answer factorised
Answer:
[tex]5(5+7j+11p)[/tex]
Step-by-step explanation:
Factor 5 out of 25 + 35j + 55p.
Answer:
[tex]5(5 + 7j + 11p)[/tex]
Step-by-step explanation:
[tex]25 + 35j + 55p \\ [/tex]
factor 5
5 × 5 = 25
5 × 7 = 35
5 × 11 = 55
[tex]\boxed{Answer:{\boxed{\green{5(5 + 7j + 11p)}}}}[/tex]
Can someone please tell me the answer and explain how to do this, no links please thank you
Step-by-step explanation:
3-0= 3
2-(-2)= 4
3/4= 0.75
Equation of a gradient is [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]