y
∝
1
√
x
If
y
=
7
when
x
=
64
find,
x
when
y
=
8
Answer:
x = 49
Step-by-step explanation:
This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
Constant, k = 56
Now, to find the value of x when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
1.
Identify the values of a, b and c in this expression: x2 + 8x - 3
A. a = 0, b = 8, c = -3
B. a = 1, b = 8, c = 3
C. a = 1, b = 8, C = -3
D. a = 0, b = 8, c = 3
What is the correct answer
Answer:
C. a = 1, b = 8, c = -3
Step-by-step explanation:
.........
x – 1/4=1/2 what is x?
Answer:
x= 3/4
Step-by-step explanation:
x-1/4=1/2
+1/4 +1/4
x=3/4
2. For what value of p would the statement 5p = 30 be true?
Op=7
O p = 5
O p = 4
Op=6
is the following statement true false or open: 60 - g = 25
true
false
open
none of the above
which of the following an an open statement
2x + 5x = 7x
14 ÷ 2 = 7
3 + 10 = 13
3x = 12
PLEASE REAL ANSWERS I RLLY NEED HELP!!!!
Answer:
1. p=6
2. open
3. 3x = 12
What is the total length of all meteors that are 1 6/8 inches?
A line plot with the title, length of meteors. The data is a measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three-eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five-eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.
three and four-eighths inches
three and five-eighths inches
four and seven-eighths inches
three and seven-eighths inches
Answer:
three and four-eighths inches
Step-by-step explanation:
Given :
Tick 1 = 2/8 (1 data point)
Tick 2 = 3/8 (3 data points)
Tick 3 = 4/8 (2 data points)
Tick 4 = 5/8 (no points)
Tick 5 = 6/8 (2 data points)
Tick 6 = 7/8 (no data points)
Tick 2 = 3/8 (3 data points)
....
Tick 13 = 1 6/8 (2 data points)
Hence, total length of all meteors that are 1 6/8 inches :
Length of meteor = 1 6/8
Number of meteors = 2
(2 * 1 6/8) = 2 * 14/8 = 28/8 = 3 4/8 = 3 1/2
Answer:
three and four-eights inches
Step-by-step explanation:
HELP ASAP!!! WILL MARK BRAINLIEST IF RIGHT!
Mr. Mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a constant rate. After 6 minutes, he was 161616 meters below the ground.
Let y represent Mr. Mole's altitude (in meters) relative to the ground after x minutes.
Complete the equation for the relationship between the altitude and number of minutes.
y=
Answer:
try dividing 161616 with 7 but I don't know what to do with the 6 sorry
Answer:
y=−1.5x−7
Step-by-step explanation:
mr. mole is descending as a constant rate, which means a linear equation. So, we must put it into slope-intercept form: y=mx + b, with m being slope or constant rate, and b being y-intercept
Will mark brainliest to whoever helps!
hello i hope you are having a nice day can somebody help me with this question thanks
Answer:
12.25 un
Step-by-step explanation:
-the formula for the area of a triangle is A=(1/2)bh or Area=(1/2)×Base×Height
to find the base you need to take 7.5 and subtract 2.5 the divide in half for each base of the triangles to get 2.5 for the bases.
then take your formula and multiply:
0.5×2.5×2.5=3.125×2=6.25 and you get the area of the triangles.
then do the area of the center square which is:
2.5×2.5=6 for the center
then add:
A=6.25+6=12.25
x3+43-12x2+x30 (x-6) (x+2)
solve it.
what is 3x+7x-9x+4x+10+12x if x=2
Answer: 44
Step-by-step explanation:
Answer:
3(2)+7(2)-9(2)+4(2)+10+12(2)
6+14-18+6+10+24
60-18
42
Which line has the same slope as the line passing through (-4, -1) and (-1, -7) ?
Answer:
D
Step-by-step explanation:
Answer:
athe correct answer of this question is 6x + 3y = 5
Write the absolute value equation if it has the following solutions. x = 2.5 and x = -3.5
Answer:
where's the equation? your question is missing some parts.
Step-by-step explanation:
SOrry again but pleaaaase help
Answer:
4(10+9) - 40 + 36
9(5+2) - 45 + 18
3(12+7) - 36 + 21
50 points question to answer
Answer:
Hope it helps
Step-by-step explanation:
3/4(7/7)=21/28
1/2(8/8)=8/16
4/9(2/2)=8/18
2/5(9/9)=18/45
6/3(6/6)=36/18
3/2(7/7)=21/14
PLS RATE AS BRAINLIEST
A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation for the substance says that the material must be safely stored until it reaches its half-life, at which time the material can be disposed.
How many years will the lab have to safely
store the material before disposal?
Answer:
The lab will have to wait 19.45 yers to safely store the material before disposal.
Step-by-step explanation:
Exponential equation for substance decay:
A exponential equation for the amount of a substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Decays at 3.5% per year.
This means that [tex]r = 0.035[/tex]
So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]A(t) = A(0)(0.965)^{t}[/tex]
How many years will the lab have to safely store the material before disposal?
It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So
[tex]A(t) = A(0)(0.965)^{t}[/tex]
[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]
[tex](0.965)^t = 0.5[/tex]
[tex]\log{(0.965)^t} = \log{0.5}[/tex]
[tex]t\log{0.965} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]
[tex]t = 19.45[/tex]
The lab will have to wait 19.45 yers to safely store the material before disposal.
Old Navy charges $30 for 4 t-shirts and $45 two pairs of pants. If Unique’s mom orders 9 t-shirts and 6 pairs of pants, how much will Unique’s mom spend?
Given: m∠AKB = 25°
KO = 25
Find: V, Surface Area of of a cone
Please leave answers in term of Pi
Answer:
V = 255.98189 pi
SA = 172.64114π
Step-by-step explanation:
The first thing to do is find the radius.
the measure of angle AKO = 1/2 the measure of angle AKB
m< AKO = 12.5 degrees
Now use trig to find AO (aka the radius)
tan(12.5) = AO/25
AO = 25* tan(12.5)
I'm leaving it like this to get a more accurate number
Now to find the volume
the volume of a cone is pir^2h/3
plugging everything in we get:
pi(25*tan(12.5))^2 * 25/3
which is about 255.98189 pi
Now for surface area
(this is the moment I realize symbols exist)
SA = πr(r+√h²+r²)
plugging everything in we have
π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)
I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)
The Surface Area is about 172.64114π
Bacteria in a test tube increase at the rate of 0.9% per hour.
At 12 noon there are 4500 bacteria.
At 3 pm, how many bacteria will be present?
Give your answer to 3 significant figures.
Answer:
. (a) A scientist is doing an experiment on bacteria. She finds that the number ofbacteria in a test tube increase at a rate of 0.9% per hour.At 12 noon there are 4500 bacteria.At 3 pm, how many bacteria will be present? Give your answer to 3 significantfigures.
12pm 4500 bacteria1pm 4500 x 1.009 bacteria 2pm 4500 x 1.009 x 1.009 bacteria3pm 4500 x 1.009 x 1.009 x 1.009 bacteriaTherefore at 3pm there are 4620 bacteria present.
Answer: 4620 (3)(b) In another experiment with the same bacteria, the scientist counts 3000 bacteria.How many bacteria were there two hours prior to this measurement?Give your answer to 3 significant figures.
Now 3000 bacteria1 hour ago 3000 ÷ 1.009 bacteria 2 hours ago 3000 ÷ 1.009 ÷ 1.009 bacteriaTherefore 2 hours ago there were 2950 bacteria present
Answer: 2950
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINLIEST!!
How did advancements in the steam engine affect industrialization? (5 points)
By eliminating the need for transportation of goods by ship
By decreasing the production time for textiles
By eliminating the need for a water source to power mills
By polluting crowded urban areas
Answer:
By decreasing the production time for textiles
Step-by-step explanation:
50 × {9 − [(35 − 8) ÷ (1 + 2)]} =
Answer:
look at the picture i sent
Answer:
0
Step-by-step explanation:
use mathaway :D
Four friends share 2 sandwhiches equally. How much sandwhich will each friend get?
Answer:
Each friend will get a half of a sandwich
Step-by-step explanation:
1 friend 1 friend
1 friend 1 friend
(split the two sandwiches in half)
Now you have 4 halfs to give to your 4 friends
lin is 5 inches taller than her cousin mai. together their heights total 113. how tall is each girl
Answer:
the answer is mai is 54 and lin is 59
Make t the subject of the formula p = 4t+1/2-t
Answer:
t = (p - 1/2)/3
Step-by-step explanation:
p = 4t + 1/2 - t
combine like terms:
p = 3t + 1/2
subtract 1/2 from each side of the equation:
3t = p - 1/2
divide both sides by 3:
t = (p - 1/2)/3
what is 5m-4-m+2 simplify
Step-by-step explanation:
5m-4-m+2
Simplifying
4m - 2
Hope it helps :)❤
Which of the following functions has the same solution set of g(x) = x3 + x2 - 2x?
Answer:
yes
Step-by-step explanation:
Use the information in the table to choose the correct equation.
Answer:
y = 10x + 3
Step-by-step explanation:
8. Calculate.
a) -114 x 15
Answer:
[tex] - 1710[/tex]
Step-by-step explanation:
[tex] - 114 \times 15 \\ = - 1710[/tex]
What is the length of the dotted line in the diagram below? Round to the nearest
tenth.
{[(9 − 2) × 3] + 3} − 5 =
Answer:
look at the picture i sent..........
Help fast please.....
Answer:
nos etu mdei
Step-by-step explanation:
Answer:
33in squared, so B
Step-by-step explanation:
the area of a triangle is (Base x height)/2
The area of a square is just length x width
Now solve
since each triangle is the same and there a 4 triangles do
4(3x4) which is 4(12)
4 x 12= 48
48/2= 24
3 x 3 for the square
24+9=33
Hope this helps!