Answer:
- the pressure will decrease
(volume is doubled ,the pressure reduced by half).
Step-by-step explanation:
P_1 V_1=P_2 V_2
This equation shows that, as volume increases, the pressure of the gas decreases in proportion.
Similarly, as volume decreases, the pressure of the gas increases.
Can someone please help me?
Answer:
the 1st option is false; there is no 'addition' sign
Step-by-step explanation:
As Soon As Possible! (please)
Each day a supernatural termite can eat 35% more wood grains that it did the day before. If a 20-day old termite has eaten 97,231 grains of wood, how many wood grains (to the nearest grain) will it eat on the 22nd day?
A) 84 grains
B) 130,745 grains
C) 176,589 grains
D) 235,768 grains
a bacteria culture starts with 720 bacteria and grows at an exponential rate calculator. after 2 hours there will be 1440 bacteria. give your answer accurate to at least 4 decimal places.
Answer:
y(t) = 720e^0.3466t
y = 2036.6288
Step-by-step explanation:
The exponential relation :
y = Ae^kt
A = initial value ; y = final value ; r ; k = exponential rate, t = time
At t = 0
y = 720e^0 ; y = 720
At t = 2 ; y = 720e^2k
1440 = 720e^2k
1440/720 = e^2k
2 = e^2k
Take the In of both sides
0.6931471 = 2k
k = 0.6931471 / 2
k = 0.3466
Hence, equation becomes :
y = 720e^0.3466t
After 3 hours ;
t = 3
y = 720e^0.3466*3
y = 720e^1.0398
y = 720 * 2.8286512
y = 2036.6288
The table shows the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer.
A. Write and graph a linear function that relates y to x
B. Interpret the slope , the x-intercept , and the y intercept
C. After how many hours is the battery power at 75%?
Answer:
Step-by-step explanation:
Let the equation of the function is,
y = mx + b
Here, m = slope of the function
b = y-intercept
y-intercept of function is the y-value of a point where x = 0.
From the table given,
y-intercept 'b' = 1
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through (2, 6) and (4, 2) will be,
Slope = [tex]\frac{6-2}{2-4}[/tex]
= [tex]-2[/tex]
Equation of the line will be,
y = -2x + 1
B). Slope of the line = -2
x-intercept of the line (at y = 0),
y = -2x + 1
0 = -2x + 1
x = [tex]\frac{1}{2}[/tex]
y-intercept of the line = 1
y-intercept indicates that the power of the battery was 100% when we turn on the laptop.
C). Equation of the line is,
y = -2x + 1
Here, y = power remaining
x = Hours
For y = 75% ≈ 0.75
0.75 = -2x + 1
0.75 - 1 = -2x
-0.25 = -2x
x = 0.125
Therefore, after 0.125 hours battery power will be 75%.
The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the percent of battery after x hours.
From the table using the points (0, 1) and (4, 0.2):
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\ \\ y-1=\frac{0.2-1}{4-0}(x-0)\\ \\ y=-0.2x+1[/tex]
At y = 75% (0.75):
0.75 = -0.2x + 1
x = 1.25 hours
The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.
Find out more on linear equation at: https://brainly.com/question/14323743
What is the value of the expression? Show your work
Answer:
Option D
Step-by-step explanation:
Equation of the piecewise function,
f(x) = -x² + 2x for x ≤ -3
[tex]2(\frac{1}{3})^{2x}[/tex] for -3 < x < 4
[tex]\frac{2x-5}{x-7}[/tex] for x ≥ 4
For x = -3,
f(x) = -x² + 2x
f(-3) = -(-3)² + 2(-3)
= -9 - 6
= -15
For x = -1
f(x) = [tex]2(\frac{1}{3})^{2x}[/tex]
f(-1) = [tex]2(\frac{1}{3})^{2(-1)}[/tex]
= [tex]2(\frac{1}{3})^{-2}[/tex]
= [tex]2\times 3^2[/tex]
= 18
For x = 4
f(x) = [tex]\frac{2x-5}{x-7}[/tex]
f(4) = [tex]\frac{2(4)-5}{4-7}[/tex]
= [tex]\frac{3}{-3}[/tex]
= -1
Therefore, f(-3) + 2f(-1) + f(4) = -15 + 2(18) - (-1)
= -15 + 36 + 1
= 22
Option D will be the correct option.
Please help part 1 part 3 and 3
Answer:
no
Step-by-step explanation:
x²-2x-5=0
a=1
b=-2
c=-5
So also you need to correct the equasion according to the schematic below:
x=(-b+-root(b²-4*a*c))/2*a
Marking brainliesttttt pls answer all means a lot !!
12- Dana raised the high score on a video game from 300 points to 390 points. By what percentage did Dana raise the score ?
F-20%
G.23%
H.30%
J.90%
Answer:
G
Step-by-step explanation:
it is the correct answer
Answer:
Look at the image and
H. 30%
Step-by-step explanation:
[tex]\frac{100}{y}: \frac{300}{390}[/tex]
y · 300 = 100 · 390
300y = 39000
300y ÷ 300 = 39000 ÷ 300
y = 130
130% - 100% = 30%
1. Curtis is making a triangular frame
with a base of 12 feet and a height of
6 feet. What is the area of the frame?
A 144 ft2
B 36 ft2
C 72 ft2
D 18 ft2
The simplest form of *
0.545454545454.........................
Answer:
0,5
Step-by-step explanation:
u just need to shorted it
Renee tossed 12 heads when tossing a coin in 10 times what is the experimental property of tossing heads
Answer:
[tex]Pr(Head) = \frac{2}{3}[/tex]
Step-by-step explanation:
The right parameters are:
[tex]Head = 12[/tex]
[tex]Toss = 18[/tex] (not 10)
Required
[tex]Pr(Head)[/tex]
The experimental probability of Head is:
[tex]Pr(Head) = \frac{Head}{Toss}[/tex]
This gives
[tex]Pr(Head) = \frac{12}{18}[/tex]
Simplify
[tex]Pr(Head) = \frac{2}{3}[/tex]
Which graph represents the solution set of this inequality?
4+11<-21
hep please
Answer:
It's C :D
Step-by-step explanation:
A rectangular field is twice as long as breath .A path of uniform widthh 2m is running inside the field . If the cost of constructing the path is rs40per sq m is ra 13760 find the area of the field
Answer:
1800 m²
Step-by-step explanation:
Since the cost of constructing the path at rs 40 per sq m is rs 13760, if A is the area of the path then we have
rate × area = cost
area = cost/rate = 13760/40 = 344 m²
Now, let L = length of rectangular field and B = breadth of rectangular field. So, its area is A'= LB. Given that L = 2B, A' = 2B × B = 2B².
Also, since the width of the path is 2 m, the inner field has dimensions L - 2 - 2 = L - 4 as length and B - 2 - 2 = B - 4 as breadth since we subtract 2 m from both ends of the each dimension.
So, the inner area is (L - 4)(B - 4) = (2B - 4)(B - 4) = 2B² - 8B - 4B + 16 = 2B² - 12B + 16.
The area of the rectangular field is thus the inner area plus the area of the uniform path
So, 2B² - 12B + 16 + 344
We equate this the the area of the rectangular field. So,
2B² - 12B + 16 + 344 = 2B²
- 12B + 16 + 344 = 2B² - 2B²
- 12B + 360 = 0
- 12B = -360
B = -360/-12
B = 30 m
Since the area of the field A' = 2B²,
A' = 2(30 m)²
= 2(900 m²)
= 1800 m²
A person walks 14 mile in 18 hour.
The person's speed is
miles per hour.
Answer:
[tex]\frac{7}{9}[/tex] of a mile per hour
0.77777778 of a mile per hour
Step-by-step explanation:
[tex]\frac{y}{14} :\frac{1}{18}[/tex]
y · 18 = 1 · 14
18y = 14
18y ÷ 18 = 14 ÷ 18
[tex]y=\frac{7}{9}[/tex]
Answer: 1.28571428571
Step-by-step explanation: You divide the hours by miles
You deposit $8000 into a savings account that earns 6% interest compounded quarterly.
a) Write a function that represents the balance after t years.
y =
b) What is the balance after 3 years? (round to the nearest penny)
y = $
Answer:
a) A = 8000(1 + .06/4)^4t
b) $9,564.95
Step-by-step explanation:
b) A = 8000(1 + .06/4)^12
Five boys each have 8 marbles. If all
their marbles are collected and placed
into
8heaps, how many marbles will there be in each jeap ?
5 marbles.
We first need to find how many marbles we have in total.
8 marbles * 5 boys = 40 marbles.
These 40 marbles will now be divided by 8, since we are taking the total amount of marbles we have and separating them into 8 different piles.
40/8 = 5
There will be 5 marbles in each heap.
how can you write [tex]\frac{1}{\sqrt[3]{-12} }[/tex] in [tex]a^{b}[/tex] format without any radicals?
Answer:
[tex]\displaystyle (-12)^{-\frac{1}{3}}[/tex]
General Formulas and Concepts:
Algebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{1}{\sqrt[3]{-12}}[/tex]
Step 2: Rewrite
Exponential Rule - Root Rewrite: [tex]\displaystyle \frac{1}{(-12)^{\frac{1}{3}}}[/tex]Exponential Rule - Rewrite: [tex]\displaystyle (-12)^{-\frac{1}{3}}[/tex]Find the volume of a cone with a diameter of 12 m and a height of 5 m.
A. 60 m3
B. 60 m3
C. 240 / m3
D. 1807 m3
Please help!!! Need fast will mark Brainiest if correct!
Answer:
60[tex]\pi[/tex] m³
Step-by-step explanation:
Use the cone volume formula, V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
If the diameter is 12 m, the radius will be 6 m.
Plug in the height and radius into the formula, and solve:
V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
V = [tex]\pi[/tex](6²)[tex]\frac{5}{y}[/tex]
V = [tex]\pi[/tex](36)[tex]\frac{5}{3}[/tex]
V = 60[tex]\pi[/tex]
So, the volume of the cone is 60[tex]\pi[/tex] m³
Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.
d+a=h
Answer:
do you have an attatchment or guide i can use to answer this?
Step-by-step explanation:
Transposing a,
[tex]d + a = h \\ a = h - d[/tex]
Can someone help me?-?
9514 1404 393
Answer:
M R T V B K
Step-by-step explanation:
From left to right the solutions are ...
__
B: equating expressions for y
-2x = x -3 ⇒ 3 = 3x ⇒ x = 1
R: given
x = -2
V: filling in for y
4x +5(2) = 10 ⇒ x = 0
T: subtracting the first from twice the second
2(3x +y) -(-3x +2y) = 2(0) -9 ⇒ 9x = -9 ⇒ x = -1
K: adding the two equations
(2x +y) +(3x -y) = (7) +(3) ⇒ 5x = 10 ⇒ x = 2
M: equating expressions for y
x -2 = 1/3x -6 ⇒ 2/3x = -4 ⇒ x = -6
__
The solutions in order least to greatest are ...
-6 (M), -2 (R), -1 (T), 0 (V), 1 (B), 2(K)
The passcode is MRTVBK.
_____
Additional comment
In several cases, there are variables and constants on both sides of the equal sign. The solution method is to identify the smallest variable coefficient, and add the opposite of that term. Also added at the same time is the opposite of the constant term on the other side of the equal sign. The net effect is to put the variable on one side and the constant on the other side. Then the equation is divided by the coefficient of the variable.
For example, in the first equation, -2x is the variable term with the smallest coefficient. -3 is the constant on the other side of the equation. To get from the initial expression to the next, we add 2x+3 to both sides of the equation.
You roll a standard number cube. What is the probability that you will roll an even number?
Answer:
The probability of rolling an even number would be [tex]\frac{1}{2}[/tex] or 50%.
Step-by-step explanation:
A standard number cube has 6 sides that features numbers 1 to 6 on each side. Since there are three even numbers (2, 4, 6) total on the sides of the number cube, that means the theoretical probability of rolling an even number would be [tex]\frac{3}{6}[/tex], which simplifies to [tex]\frac{1}{2}[/tex] or 50%.
Bella says 18 is the same as 10 ones and 8 tens
Answer:
Bella is largely mistaken.
Step-by-step explanation:
What she described equals 90
6% of it is 27
Plz help I will mark Brainlyist
Answer:
450
Step-by-step explanation:
6% = 0.06
0.06x = 27
Divide both sides by 0.06
x = 450
Find the area of a circle with a radius of 5 inches. Round your answer to the nearest hundredth.
please help i’ll give 5 stars
Answer:
78.54 inches squared
Step-by-step explanation:
A=πr^2
π·5^2
Have a good day :)
Subtract (6x² + 8x - 5) from (7x? + 8x - 4)
Answer:
−6x^2+7x+1
Step-by-step explanation:
1)(7x+8x-4)=15x−4
2)15x-4-(6x^2+8x-5)=−6x2+7x+1
help please!!!!
x = ___ units
Answer:
x = 20 units
Step-by-step explanation:
∆KJL is a 30° - 60° - 90° triangle which means that side opposite of 30° is x, side opposite of 60° is x√3, and side opposite of 90° is 2x.
Since side opposite of 90° is 40√2 which is 2x and x is the side opposite of 30° (JL).
2x = 40√2 → 2x ÷ 2 = 40√2 ÷ 2 → x = 20√2.
∆JML is a 45° - 45° - 90° triangle which means that sides opposite of 45° are x and 90° is x√2.
Since side JL is also the side opposite of 90° and the sides opposite of 45° are the value x,
20√2 = x√2 → 20√2 ÷ √2 = x√2 ÷ √2 → 20 = x →
x = 20.
Determine the area of the composite figure.
Answer:
[tex]110\ in^2[/tex]
Step-by-step explanation:
[tex]1)\ A_1 = b * h_1 = 10 * 8 = 80\ in^2[/tex]
[tex]2)\ A_2 = \frac{b*h_2}{2} = \frac{10*(14-8)}{2} = \frac{10*6}{2} = \frac{60}{2} = 30\ in^2[/tex]
[tex]3)\ A = A_1 + A_2 = 80 + 30\ in^2 = 110\ in^2[/tex]
Femi drives 18.4 miles in 16 minutes. He passes a sign which gives the speed limit as 55 mph. By how much, in mph, did Femi's average speed exceed the speed limit?
Answer:
14mph
Step-by-step explanation:
First, lets find how many 16s can go into 60.
We can find this by doing 60 / 16 = 3.75
Then we need to find his average speed. We can find this by doing
18.4 * 3.75 = 69
To find how much he exceeded the speed limit, we will subtract 55 from 69
69 - 55 = 14
Therefore, Femi's average speed exceeded the speed limit by 14mph.
Jamal scored 62, 75, 76 and 90 on four tests. What does he need to score on the fifth test to have a MEAN of exactly 80?
A.80
B.100
C.93
D.97
Use words to explain how to solve this equation: (x-10)(x-4)=0
Answer: x = 10 OR x = 4.
Step-by-step explanation: If x = 10 or 4 then the last step of the equation will always be multiplying by 0 which equates to 0 as well.
if x = 10
(10-10)(10-4) -> (0)(6) -> 0 x 6 = 0
if x = 4
(4-10)(4-4) -> (-6)(0) -> -6 x 0 = 0
Answer:
[tex]x = 10 \: and \: 4[/tex]
Step-by-step explanation:
Hope it is helpful....
Which statements are always true regarding the diagram? Select three options.
Answer:
C; D; E
Step-by-step explanation:
✔️Angles in a straight line = 180°
Therefore, m<5 + m<6 = 180° is correct.
✔️Exterior angle of a triangle = the sum of the opposite interior angels based on the exterior angle theorem of a triangle.
Therefore,
m<2 + m<3 = m<6 is correct.
✔️The sum of m<2 + m<3 + m<5 = 180° is correct. This is true based on the sum of triangle theorem.