Answer:
The expression m^ -3 ^2 n^2 ×n over 9 mxn^4 can be simplified as follows:
(m^-3)^2 * n^2 * n / (9 * m * x * n^4) = m^-6 * n^3 / (9 * m * x * n^4) = m^-7 * n^-1 / (9 * x) = 1 / (9 * m^7 * x * n)
So the simplified form of the expression is 1 / (9 * m^7 * x * n.)
Can someone help me? Please:( l need it for now
Answer:
The answer is C
Step-by-step explanation:
Scientists have discovered a new glow in the dark shark species that weighs up to 31 ounces when fully grown. about how much does an adult shark weigh in pounds?
Answer:
31/16 = 1.9375 lbs
Step-by-step explanation:
The oz to pound conversion is (oz/16) = lbs
So, 31oz/16 = 1.9375 lbs
The playground at Hank chool ha a large right angle painted on the ground. Hang tart at the right angle corner and walk toward the oppoite ide along an angle biector and top when he get to the hypotenue
Start at the corner of the right angle and walk along the line that connects two of the corners of the right angle until you reach the line which is the longest side of the right angle (the hypotenuse).
The playground of Hank School has a large right angle painted on the ground. A right angle is a type of angle that is exactly 90°. It is made up of two perpendicular lines that intersect at a corner. To walk along an angle bisector, you must start at one of the corners of the right angle and walk along the line that connects two of the corners. This line is the angle bisector, which is the line that bisects (divides) the two angles of the right angle into two equal parts. When you reach the line which is the longest side of the right angle (the hypotenuse), you will have reached the opposite side. The hypotenuse is the longest side of a right triangle, and it is always opposite the 90° angle. Walking along the angle bisector of the right angle is a great way to explore the geometry of the playground.
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Find the angle of nonnegative measure 29pi/12
Answer:
435 degrees
Step-by-step explanation:
Using unit circle, you move back 5/12 of the circle and add 360 degrees to it to get 360 + 75 = 435 degrees :)
make me brainliest if i helped
11. The following describes the United States nuclear stockpile from
1944 to 1974. From 1944 to 1958, there was a gradual increase in the
number of warheads from 0 to about 5000. From 1958 to 1966, there
was a rapid increase in the number of warheads to a maximum of
about 32,000. From 1966 to 1970, there was a decrease in the number
of warheads to about 26,000. Finally, from 1970 to 1974, there was
a small increase to about 28,000 warheads. Sketch a graph of the
function.
10.
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name the shape that has has 4 edges
Answer:
there's no picture of the shape but a rectangular shape maybe
Step-by-step explanation:
if you ask the question again with the picture of the shape attached I will help you
Answer:
shapes that have 4 edges are called quadrilaterals. Quadrilateral shapes include squares, rectangles, trapezoids, rhombus, parallelogram, diamonds, and kites.
Step-by-step explanation:
in in the bending rheometer = 0.4mm, 0.5mm, 0.65mm, 0.82mm,
0.98mm, and 1.3mm for t = 15s, 30s, 45s, 60s, 75s, and 90s, what
are the values of S(t) and m. Does this asphalt meet PG grading
requirement
It is given that PG grading requirement is met if the values of S(t) are between -3.2 and +3.2. As all the calculated values of S(t) lie within this range, the asphalt meets PG grading requirement.
Given data: Bending rheometer: 0.4mm, 0.5mm, 0.65mm, 0.82mm, 0.98mm, and 1.3mm for t = 15s, 30s, 45s, 60s, 75s, and 90s.
We are supposed to calculate the values of S(t) and m to check if the asphalt meets PG grading requirement.
Calculation of m:
Mean wheel track rut depth = (0.4+0.5+0.65+0.82+0.98+1.3)/6
= 0.7933mm
Calculation of S(t)
S(t) = (x - m)/0.3
Where, x = 0.4mm, 0.5mm, 0.65mm, 0.82mm, 0.98mm, and 1.3mm
Given, m = 0.7933mm
Substituting these values into the formula above:
S(15s) = (0.4 - 0.7933)/0.3
= -1.311S(30s)
= (0.5 - 0.7933)/0.3
= -0.9777S(45s)
= (0.65 - 0.7933)/0.3
= -0.4777S(60s)
= (0.82 - 0.7933)/0.3
= 0.128S(75s)
= (0.98 - 0.7933)/0.3
= 0.62S(90s)
= (1.3 - 0.7933)/0.3
= 1.521
It is given that PG grading requirement is met if the values of S(t) are between -3.2 and +3.2. As all the calculated values of S(t) lie within this range, the asphalt meets PG grading requirement.
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what number can be added to 55 and have 45 and 9 as thier greatest common factor?
Answer:
36
Step-by-step explanation:
all t-tests have two things in common: a numerator and a denominator. what are these two terms in the t-tests?
The two terms in the t-test are the numerator and denominator degrees of freedom. The numerator represents the number of independent variables in the test, while the denominator represents the sample size minus the number of independent variables.
In a one-sample t-test, the numerator is typically the difference between the sample mean and the null hypothesis mean, while the denominator is the sample standard deviation divided by the square root of the sample size.
In a two-sample t-test, the numerator is typically the difference between the means of two samples, while the denominator is a pooled estimate of the standard deviation of the two samples, also divided by the square root of the sample size.
The degrees of freedom are important in calculating the critical t-value, which is used to determine whether the test statistic is statistically significant. As the degrees of freedom increase, the critical t-value decreases, meaning that it becomes more difficult to reject the null hypothesis.
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A recipe requires & cup of oil for every cup of water. How much oil (in cups) is
needed per cup of water?
Answer:
the answer is one cup of oil for each cup of water. hope this helps!
Use the Distributive Property to on the following expression:
5 (3x + 26 - 9y + 10)
Answer:
15x -45y +180
Step-by-step explanation:
5(3x)= 15x
5(26)= 130
5(-9y)= -45y
5(10)= 50
combine like terms:
15x - 45y +180
a) Work out the value of (√√5)²x (√√3)²?
b) Work out the value of (9)** (√√30)?
Answer:
15 and 270
Step-by-step explanation:
using the property of radicals
(\(\sqrt{x}\) )² = x and (\(\sqrt[3]{x}\) )³ = x
then
(\(\sqrt{5}\) )² × (\(\sqrt{3}\) )² = 5 × 3 = 15
(\(\sqrt[3]{9}\) )³ × (\(\sqrt{30}\) )² = 9 × 30 = 270
Sarah is having a party with 30 people. She has 212 large pizzas at the party. She gives equal amounts of pizza to each person. What fraction of pizza does each person get?
Answer: Everyone would get about 7 pizzas
Step-by-step explanation:
I did 212 divided by 30 which is 7.06666666667 which is closest to 7 then 8 so the answer would be 7. I know this is about right because 7 times 30 is 210 which is closest to 212 then 8*30 which is 240.
Pls help with the question (also lmk how to award brainliest and I will)
solve for r in the parallelogram
onsider the following events: A. The burrito is a chicken burrito. B. The burrito is a carne asada burrito. C. The customer requested black beans. D. The customer requested pinto beans. Which two events are independent
Events A and C as well as events B and D are independent.
Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.
In the given events, it is not explicitly mentioned how the events are related. However, based on typical assumptions about burrito ingredients and customer preferences, we can make some assumptions:
Assuming that the choice of meat (chicken or carne asada) and the choice of beans (black beans or pinto beans) are independent of each other, we can conclude that events A (The burrito is a chicken burrito) and C (The customer requested black beans) are independent. The choice of chicken meat in the burrito does not affect the probability of the customer requesting black beans.
Similarly, events B (The burrito is a carne asada burrito) and D (The customer requested pinto beans) are independent. The choice of carne asada meat in the burrito does not affect the probability of the customer requesting pinto beans.
So, based on these assumptions, events A and C as well as events B and D are independent.
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help with this problem
A sample of water is cooled from 45 degrees celsius to 25 degrees celsius by the removal of 20 calories of heat. what is the mass of water? (specific heat of water =1calorie/gram c or 4.18 joule/gram c)
The mass of the water can be determined using the formula for heat transfer, which states that heat transferred (in calories) is equal to the mass of the substance (in grams) multiplied by the specific heat capacity of the substance (in calories/gram°C) multiplied by the change in temperature (in °C). By rearranging the formula, we can find that the mass of water is equal to the heat transferred divided by the product of the specific heat capacity and the temperature change.
Given:
Initial temperature (T1) = 45°C
Final temperature (T2) = 25°C
Heat transferred (Q) = 20 calories
Specific heat capacity of water (C) = 1 calorie/gram°C
We can use the formula for heat transfer:
Q = m * C * ΔT
Where:
Q is the heat transferred,
m is the mass of the substance,
C is the specific heat capacity of the substance, and
ΔT is the change in temperature.
Rearranging the formula, we have:
m = Q / (C * ΔT)
Substituting the given values:
m = 20 calories / (1 calorie/gram°C * (45°C - 25°C))
Simplifying the equation:
m = 20 calories / (1 calorie/gram°C * 20°C)
m = 20 grams
Therefore, the mass of water is 20 grams.
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Mr. Dayton uses 14 cups of flour to make three identical loaves of bread.
How much flour is in each loaf?
to find out how much flour is in each loaf, use?
Answer:
10
Step-by-step explanation:
ll
Answer:
he used 4 1/6 cup of flour for each loaf I think
Step-by-step explanation:
67,802. the 2 has what place value?
Answer:
the place of 2 is tenth thousands
Solve by making a proportion. If seven movie tickets cost $57.40, how much would 5 tickets cost?
PLSSS i need help
Answer: $41
work out what one ticket is:
$57.40/7=$8.20
and then multiply by 5
$8.20*5=41
Answer:
$41
Step-by-step explanation:
what is an integer that will represent the situation? The boat is at sea level.
Answer:
0
Step-by-step explanation:
Sea level elevation is defined as 0 ft.
Answer:
Your location doesn't matter, because all over the world, see level is at an elevation of 0 feet. Sea level is the "building block of elevation" as my math teacher used to say.
What is the following quotient?
StartFraction 6 minus 3 (RootIndex 3 StartRoot 6 EndRoot) Over RootIndex 3 StartRoot 9 EndRoot EndFraction
2 (RootIndex 3 StartRoot 3 EndRoot) minus RootIndex 3 StartRoot 18 EndRoot
2 (RootIndex 3 StartRoot 3 EndRoot) minus 3 (RootIndex 3 StartRoot 2 EndRoot)
3 (RootIndex 3 StartRoot 3 EndRoot) minus RootIndex 3 StartRoot 18 EndRoot
3 (RootIndex 3 StartRoot 3 EndRoot) minus 3 (RootIndex 3 StartRoot 2 EndRoot)
Answer:
A.\(2(3^{\frac{1}{3}})-\sqrt[3]{18}\)
Step-by-step explanation:
We are given that
\(\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})\)
We have to find the quotient.
\(\frac{6}{\sqrt[3]{9}}-3(\frac{\sqrt[3]{6}}{\sqrt[3]{9}})\)
\(\frac{2\times 3}{\sqrt[3]{3^2}}-3(\frac{\sqrt[3]{3\times 2}}{\sqrt[3]{3^2}})\)
\(2\times\frac{3}{3^{\frac{2}{3}}}-3(\frac{2^{\frac{1}{3}}\times 3^{\frac{1}{3}}}{3^{\frac{2}{3}}})\)
Using the property
\((ab)^n=a^n\cdot b^n\)
\(2\times 3^{1-\frac{2}{3}}-3(2^{\frac{1}{3}}\times 3^{\frac{1}{3}-\frac{2}{3}})\)
Using the property
\(\frac{a^x}{a^y}=a^{x-y}\)
\(2(3^{\frac{1}{3}})-3(2^{\frac{1}{3}}\times 3^{-\frac{1}{3}})\)
\(2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{1-\frac{1}{3}}\)
\(2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{\frac{2}{3}}\)
\(2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{3^2}\)
\(2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{9}\)
\(2(3^{\frac{1}{3}})-\sqrt[3]{2\times 9}\)
\(2(3^{\frac{1}{3}})-\sqrt[3]{18}\)
Hence, the quotient of \(\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})\) is given by
\(2(3^{\frac{1}{3}})-\sqrt[3]{18}\)
Option A is correct.
Answer:
A
Step-by-step explanation:
What is the value of x in the equation 3-2x=-1.5x?
оооо
-6
Answer:
x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 6
Step-by-step explanation:
In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).
3 - 2x = -1.5x
(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)
-1.5x = 3 - 2x
First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.
0.5x = 3
For our next part here, let's convert 0.5 to a fraction to make life easier for us.
\(\frac{1}{2}\)x = 3
When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!
\(\frac{1}{2}\)x · \(\frac{2}{1}\) = 1x (or simply x)
What we do to one side we must do to another.
x = 3 · 2
x = 6
Our answer is x = 6. Woo!
TIME EARNED1/160Pam purchased a new laptop, which was advertised for $750. She bought it onthe installment plan by paying $50 at the time of purchase and agreeing to paythe balance plus 18% simple interest on the balance in 24 monthly payments.How much is the finance charge?$250.20$25.20
To calculate the finance charge we need to apply the simple interest formula, which can be seen below:
\(M\text{ = C}\cdot r\cdot t\)Where "M" is the interest value, "C" is the value on which the interest should be calculated, "r" is the interest rate and "t" is the elapsed time in years. Pam paid $50 in advance, therefore the interest should be calculated on the $700 there is left to be paid. We have:
\(M\text{ = 700}\cdot\frac{18}{100}\cdot\frac{24}{12}\text{ = 700}\cdot0.18\cdot2\text{ = }252\)The finance charged 252 in interest.
The ticket price for a one-way flight from Orlando to Philadelphia is regularly $149. If Callie is purchasing a ticket for the day before Thanksgiving and the airline marked the ticket price up 72%, find the cost of her ticket.
In linear equation, 256.28 is the cost of her ticket .
What is the most effective way to explain linear equations?
An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).
In this scenario, y is referred to as the dependent variable because it depends on the independent variable, x. A linear equation is an algebraic equation of the form y=mx+b.
= 149 * .72
= 107.28
= 149 + 107.28
= 256.28
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Find x in the following equation. log 10 (x+6)- log 10 (x-6) = 1 (Type a fraction or an integer. Simplify your answer.) X=
According to given information, the value of x = 22/3.
To find x in the equation below.
log 10 (x + 6) - log 10 (x - 6) = 1
Solution:
We have the equation:
log 10 (x + 6) - log 10 (x - 6) = 1
Since the bases of the two logarithms are the same, we can apply the quotient rule of logarithms, which states that if we subtract two logarithms with the same base, we can simply divide the numbers inside the parentheses, so we have:
log 10 [(x + 6)/(x - 6)] = 1
We can convert this logarithmic equation to an exponential equation as follows:
10¹ = (x + 6)/(x - 6)
10(x - 6) = x + 6
Now we can expand the left side: 10x - 60 = x + 6
Subtracting x from both sides: 9x - 60 = 6
Adding 60 to both sides: 9x = 66
Dividing by 9: x = 66/9 or x = 22/3
Answer: x = 22/3.
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The temperature of a cup of coffee varies according to Newton's Law of Cooling: -"dT/dt=k(T-A), where is the temperature of the coffee, A is the room temperature, and k is a positive
constant. If the coffee cools from 100°C to 90°C in 1 minute at a room temperature of 25*C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes,
74
67
60
42
Answer:
B) 67°C.
Step-by-step explanation:
Newton's Law of Cooling is given by:
\(\displaystyle \frac{dT}{dt}=k(T-A)\)
Where T is the temperature of the coffee, A is the room temperature, and k is a positive constant.
We are given that the coffee cools from 100°C to 90°C in one minute at a room temperature A of 25°C.
And we want to find the temperature of the coffee after four minutes.
First, solve the differential equation. Multiply both sides by dt and divide both sides by (T - A). Hence:
\(\displaystyle \frac{dT}{T-A}=k\, dt\)
Take the integral of both sides:
\(\displaystyle \int \frac{dT}{T-A}=\int k\, dt\)
Integrate:
\(\displaystyle \ln\left|T-A\right| = kt+C\)
Raise both sides to e:
\(|T-A|=e^{kt+C}=Ce^{kt}\)
The temperature of the coffee T will always be greater than or equal to the room temperature A. Thus, we can remove the absolute value:
\(\displaystyle T=Ce^{kt}+A\)
We are given that A = 25. Hence:
\(\displaystyle T=Ce^{kt}+25\)
Since the coffee cools from 100°C to 90°C, the initial temperature of the coffee was 100°C. Thus, when t = 0,T = 100:
\(100=Ce^{k(0)}+25\Rightarrow C=75\)
Hence:
\(T=75e^{kt}+25\)
We are given that the coffee cools from 100°C to 90°C after one minute at a room temperature of 25°C.
So, T = 90 given that t = 1. Substitute:
\(90=75e^{k(1)}+25\)
Solve for k:
\(\displaystyle e^k=\frac{13}{15}\Rightarrow k=\ln\left(\frac{13}{15}\right)\)
Therefore:
\(\displaystyle T=75e^{\ln({}^{13}\! /\!{}_{15})t}+25\)
Then after four minutes, the temperature of the coffee will be:
\(\displaystyle \begin{aligned} \displaystyle T&=75e^{\ln({}^{13}\! /\!{}_{15})(4)}+25\\\\&\approx 67^\circ\text{C}\end{aligned}\)
Hence, our answer is B.
Evaluate the indefinite integral. [2√2+#de
The given indefinite integral evaluates to ∫(2√2 + #de) = (4/3) (2\(^3^/^2\)) + e + C.
The given indefinite integral is: ∫(2√2 + #de).
We know that the integral of √x is (2/3) x\(^3^/^2\)
The given integral can be re-written as follows: ∫(2√2 + #de) = 2∫√2 #de + ∫#de.
Since the integral of a constant term is just the product of the constant and the variable, the second integral is given by: ∫#de = e + C, where C is the constant of integration.
On the other hand, the first integral can be calculated using the integral of √x, which is given by: (2/3) x\(^3^/^2\)+ C.
Putting this back into the original integral, we have:
∫(2√2 + #de) = 2∫√2 #de + ∫#de
= 2(2/3) (2\(^3^/^2\)) + e + C
= (4/3) (2\(^3^/^2\))) + e + C.
In summary, the given indefinite integral evaluates to ∫(2√2 + #de) = (4/3) (2\(^3^/^2\)) + e + C.
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can you help me with. number 4? thanks I don't understand it
SOLUTION
The given graph is shown
From the graph the lengths AC and CB are equal.
Hence the triangle is Isosceles.