Answer:
g = [tex]\frac{k}{h^3}[/tex]
Step-by-step explanation:
Given that g varies inversely as h³ then the equation relating them is
g = [tex]\frac{k}{h^3}[/tex] ← k is the constant of variation
The Perimeter of a rectangle is 64 cm. The length is 2cm more than 1.5 times the width
Answer:
The length is 20
The width is 12
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Six more than three times a number w.
An expression for this phase is..?
(Please help)
Answer:6+3w
Step-by-step explanation:
So, our number is "W"
SO, 6 more than three times w is
6+3w
Three times w=3w
Then, it says 6 more, so we add 6
Answer:
What! :) - (-() (--(
Step-by-step explanation:
MI no sabo perdon my amigo
You invested $26,000 in two accounts paying 2% and 3% annual interest, respectively. If the total interest earned for the year was $730, how much was invested at each rate?
Answer:
You invested $22,000 in two accounts paying 3% and 5% annual interest, respectively. If the total interest earned for the year was $980, how much was invested at each rate?
Step-by-step explanation:
let x=amt invested at 3% rate of interest.
22000-x=amt invested at 5% rate of interest.
.03x+.05(22000-x)=980
.03x+1100-.05x=980
.02x=120
x=6000
22000-x=16000
amt invested at 3% rate of interest=$6,000
amt invested at 5% rate of interest=$16,000
Hope iit help you mark as BrainlistThe amount invested in the account that yields 3% interest is $21,000 and the amount invested in the account that yields 2% interest is $5000
This can be solved using simultaneous equations. Two equations can be derived from the question :
a + b = 26,000 equation 1
0.02a + 0.03b = 730 equation 2
Where
a = amount invested in the account that yields a 2% interest
b = amount invested in the account that yields a 3% interest
Multiply equation 1 by 0.02
0.02a + 0.02b = 520 equation 3
Subtract equation 3 from equation 2
0.01b = 210
Divide both sides of the equation by 0.01
b = 210 / 0.01 = 21,000
Substitute for b in equation 1
a + 21,000 = 26,000
a = 26,000 - 21,000
a = 5000
To learn more about simultaneous equations, please check : https://brainly.com/question/15165519?referrer=searchResults
******90 POINTS!!*****
Subtract 1/2h -1 from 3/4 h +4
A.1/4h+3
B.-1/4+5
C.1/4h+5
D.-1/4h+5
Help me plz
Which of the following inequalities represents a solution set that has the
variable x being less than or equal to some number?
1. 8x +1 < 53
2. 4x + 7 > -5
3. 5x - 16 239
4. 4x + 34 38
Answer:
2.) 4x +7 > -5
Step-by-step explanation:
because
4x +7 > -5
4x > -5-7
4x > -12
x > -3
hope it will help you
plz follow me
Subtract 1/2h -1 from 3/4 h -4
A.1/4h+3
B.-1/4+5
C.1/4h+5
D.-1/4h+5
Help plzzzz
Answer:
It would be option A.
Step-by-step explanation:
1/4h + 3
Which two quadrants have negative x-values?
Answer:
II and III ( 2 and 3)
Step-by-step explanation:
The quadrants are numbered counter clockwise, with the top right being number I
II I
III IV
The ones having negative x values are II and III ( 2 and 3)
what is −3x−6+(−1) ?
Answer:
-3x-7
Step-by-step explanation:
Michael goes to the bank and puts $6000 in a savings account. He earns a simple interest of 3.5% If he leaves the money in the account for 2 years, what is the total amount in the account after the two years?
9514 1404 393
Answer:
$6420
Step-by-step explanation:
The account value can be found using the formula ...
A = P(1 +rt)
where P is the initial deposit, r is the annual rate, and t is the number of years.
A = $6000(1 + .035×2) = $6000(1.07) = $6420
The total amount after 2 years is $6420.
A local writing center offers a new session of creative writing classes every 16 days.
A competing writing center offers a new session of creative writing classes every
24 days. Today, both writing centers have started a new session of creative writing
classes. In how many days will both writing centers start a new creative writing
session on the same day? Show or explain how you know.
Answer:
48 days
Step-by-step explanation:
If you write out the multiples for 16 and 24, you just have to find the smallest multiple that appears in both numbers.
16, 32, 48
24, 48
IMPORTANT PLEASE!! 10 POINTS :)
I’m trying to figure out the domain and range of this, could someone explain and give the answer? Thank you
Answer:
The domain is all the possible inputs for this function. The range is all the possible outputs for this function.
The line starts at the x-value of 0 and ends at the x-value of 12. Therefore, your domain is D: [0, 12].
The line starts at the y-value of 9000 and ends at the y-value of 0. Therefore, your range is R: [0, 9000].
QUICK SOMEONE HELP!! I’LL MARK BRAINLIEST
Answer:
A - 152
Step-by-step explanation:
You see the box on the right triangle, meaning it is 90.
Add 90 + 62 to get 152, so the angle is 152.
Sam's mother is twice as old as sam, In 12 years, Sam will be as old as his mother was 12 years ago. How old are is sam and his mother now?
Answer:
Sam is 24 years old and his mom is 48 years old
Step-by-step explanation:
;)
The present age of Sam is 24 years and the present age of Sam's mother is 48 years
Let the present age of Sam's mother = M
Let the present age of Sam = S
Sam's mother is twice as old as Sam so we can write
[tex]\rm M = 2S.........(1)\\[/tex]
12 years ago the age of Sam's mother = M - 12
After 12 years the age of Sam = S + 12
According to the given condition
[tex]\rm S + 12 = M-12 ......(2)[/tex]
From equations (1) and (2) solving for M and S we get
[tex]\rm S + 12 = 2S -12\\S = 24\\M = 2\times S = 2\times 24 = 48[/tex]
So we can conclude that the present age of Sam is 24 years and the present age of Sam's mother is 48 years.
For more information please refer to the link given below
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tell whether the sequence is arithmetic . if it is what is the comon difference -12, -7, -2 , 3
Answer:The derivative would relate to common differences or slope on a graph or acceleration of slope aka speed
Here +5
Step-by-step explanation:
Are these all together equivalent?
Answer:
yes
Step-by-step explanation:
3 = 6 = 12
4 8 16
the last two reduce to 3/4; they all all equivalent
Please help me?!!!!!
Answer:
No i do not agree with her
because 40/50 = 80out of 100
Step-by-step explanation:
There are 10 sweets in a bag.
4 are red, 2 are green, 3 are yellow and 1 is purple.
A sweet is chosen at random from the bag.
Here is a probability scale:
A B C
D
1
O
a)
Which letter shows the probability of choosing a yellow sweet?
W
b)
Which letter shows the probability of choosing a sweet that is not orange?
Answer: B and D
Step-by-step explanation:
Given
There are 4 red, 2 Green, 3 Yellow, and 1 purple sweet i.e. total of 10 sweets
(a)No of yellow sweet =3
Probability
[tex]P=\dfrac{\text{No of yellow sweets}}{\text{Total no of sweets}}=\frac{3}{10}\\P=0.3[/tex]
In number line, A, B, and C represent 0.2,0.3 and 0.4
For yellow it is B
(b)sweet that is not orange is red, green, yellow, and purple
So, probability
[tex]P=\dfrac{\text{sweet that is not orange}}{\text{Total sweets}}=\frac{10}{10}=1[/tex]
So, D represents it
HELP I SOO BAD AT THIS HEEELLLLLPPPP!!!
Answer:
9 and 7
Step-by-step explanation:
simplified form of ( (2^-2) )^-3 x ( (2^-3) )^2
Answer:
( (2^-2) )^-3 x ( (2^-3) )^2
((1/2²)^-3×(1/2³)²
1/(1/4)³×(1/8)²
4³×1/8²
64/64
1
What is the length of the line TR
Answer:
15
Step-by-step explanation:
If the other triangle is part of the problem the triangle increased by 2.5
2.5 * 6 is 15
so 15 is the length of TR
Answer:
[tex]\Large \boxed{\sf 15}[/tex]
Step-by-step explanation:
Both triangles are similar so the two corresponding sides are proportional.
[tex]\displaystyle \frac{4}{6} =\frac{10}{TR}[/tex]
[tex]TR= 15[/tex]
2 A sample of two items is selected without replacement from a batch. Describe the (ordered) sample space for each of the following batches: a. The batch contains the items {a, b, c, d}. b. The batch contains the items {a, b, c, d, e, f , g}. c. The batch contains 4 defective items and 20 good items. d. The batch contains 1 defective item and 20 good items.
Answer:
a.{a b, a c, a d, b c, b d, c d, b a, d c ,d b, c a, d a, c b}
b.{a b, a c, a d, a e ,a f, a g, b c, bd,be,bf,bg,cd,ce,cf,cg,fg,ba,ca,da,ea,fa,ga,cd,db,eb,fb,gb,dc,ec,fc,gc,fe,ge,gf,de,df,dg,ed,fd,gd,ef,eg}
c.{d d, dg, g d, g g}
d.{dg, g d, gg}
Step-by-step explanation:
We have to find the sample space
a. We are given items
{a, b, c, d}
Therefore, the sample space
{a b, a c, a d, b c, b d, c d, b a, d c ,d b, c a, d a, c b}
b. Items
Therefore, the sample space
{a b, a c, a d, a e ,a f, a g, b c, bd,be,bf,bg,cd,ce,cf,cg,fg,ba,ca,da,ea,fa,ga,cd,db,eb,fb,gb,dc,ec,fc,gc,fe,ge,gf,de,df,dg,ed,fd,gd,ef,eg}
c.
Defective items (d)=4
Good items(g)=20
Therefore, the sample space
{d d, dg, g d, g g}
d.
Defective items (d)=1
Good items(g)=20
Therefore, the sample space
{d g, g d, g g}
Alan spent 3 hours building a model for his science project. This was 60% of the total time he spent on the project. How many hours did he work on the project?
Answer:
5 total hours
Step-by-step explanation:
3 ÷ 60% = 5
Alan worked 5 hours on the project.
What is a percentage?A percentage is a proportion or value that may be expressed as a fraction of 100. Furthermore, the notation "%" is used to denote it.
Let H be the hours he worked on the model.
Alan spent 3 hours building a model for his science project. This was 60% of the total time he spent on the project.
To find the H;
we use the percentage property,
3 = H x 60 / 100
H = 300 /60
H = 5 hours.
Therefore, 5 hours he worked on the project.
To learn more about the percentage;
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This graph shows the solution to which inequality?
(3,-1)
(-3,-3)
O A. yz 1 / 8x - 2
O B. ysx-2
O c. y> 1/3x-2
Answer:
[tex]y > \frac{1}{3}x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, and b is the y-intercept(value of y when x = 0).
In this question:
We have that when [tex]x = 0, y = -2[/tex]. So the line is given by:
[tex]y = mx - 2[/tex]
Finding the slope:
We have two points in the line, which are (-3,-3) and (3,-1). The slope is given by the change in y divided by the change in x. So
Change in y: -1 - (-3) = -1 + 3 = 2
Change in x: 3 - (-3) = 3 + 3 = 6
Slope: [tex]m = \frac{2}{6} = \frac{1}{3}[/tex]
Solution to the inequality:
The solution to this inequality is all the points above the dashed line, which means that the dashed line is not part of the solution. So
[tex]y > \frac{1}{3}x - 2[/tex]
The base of the isosceles triangle is parallel to x -axis and has
both end-points on the parabola [tex]y =x(10-x)[/tex]and its vertex
belongs to the x -axis. Find area of the triangle if the length of its
base is 8.
Answer:
36 square units
Step-by-step explanation:
y = x(10-x)
This is a down-opening parabola with axis of symmetry x = 5
Vertex of triangle (5,0)
Base of triangle is the horizontal chord of length 8, endpoints x = (1,9) and (9,9).
Height of triangle = 9
Area of triangle = ½·8·9 = 36 square units
please help!!!! solve for x showing EACH STEP
please!!
cant see the pic
please type out the question
so that i can help u
Answer:
[tex] x = zk + z + \mu[/tex]
Step-by-step explanation:
[tex]z = \frac{x - \mu}{k + 1} \\ \\ z(k + 1) = x - \mu \\ \\ z(k + 1) + \mu =x \\ \\ \red{ \bold{ x = zk + z + \mu}}[/tex]
Write the numerator of a fraction equivalent to 3/4 that has a denominator of 20
Answer:
15
Step-by-step explanation:
Cross multiply
3 times 20 = 60
4 times x = 4x
now your left with
60= 4x
divide 4 on both sides
15 = x
The numerator of a fraction equivalent to 3/4 that has a denominator of 20 is 15.
A fraction is made up of a numerator and a denominator. Examples of fraction are: [tex]\frac{3}{4} , \frac{1}{2}[/tex]. The numerators are 3 and 1. The denominators are 4 and 2.
In order to determine the numerator, we have to determine the relationship between the two denominators given ( 20 and 4). 20 is a multiple of 4. 20 / 4 = 5. The second step is to multiply 3 by 5 = 3 x 5 = 15.
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What are two different ways of factoring-5x-15? Select all that apply
Answer:
You can factor it by taking out the five, since it is a common factor of 5 and 15 (for example: 5(-x - 3) ), you can remove the negative value ( -1(5x+15) ), or your can remove the negative and the 5 (-5(x+3) ).
Step-by-step explanation:
Answer:
Divide each term in
−
5
x
=
15
by
−
5
.
−
5
x
−
5
=
15
−
5
Step-by-step explanation:
PLEASE HELP!!
If 6 is an element in the domain of f(x)=5x-25/4 what is the corresponding element in the range
Answer:
23 3/4
Step-by-step explanation
f(x)=5x-25/4 is a linear equation, and because of that its domain includes all real numbers, including 6. The corresponding number in the range is then f(6) = 5(6) - 6 1/4 = 30 - 6 1/4 = 23 3/4
The graph represents which system of inequalities?
Oys-3x - 1
y = -x - 4
Oy2-3x + 1
y s -x - 4
Oys 3x - 1
ys-X + 4
Oys 3x - 1
y = -x + 4
Answer:
y ≤ 3x - 1y ≥ - x + 4Step-by-step explanation:
On the graph we have:
Line f(x)f(x) is rising function, y-intercept is -1, slope is 3 which is determined by the points - (0, -1) and (1, 2)Zone B is to the right of the line and the line is solidAs per description above we get inequality:
y ≤ 3x - 1Line g(x)g(x) is decreasing function, y-intercept is 4, slope is -1 which is determined by same x-intercept and y-interceptZone A is to the right of the line and the line is solidAs per description above we get inequality:
y ≥ - x + 4Zone AB is the intersection of the two zones, so the system is:
y ≤ 3x - 1y ≥ - x + 4£1 =€1.17
how many euros would I have if given £280
Answer:
u gotta multiple 280 with 1.17 which results 327.6
Answer:
since 1£ =1.17:1.17×280=327.6