Answer:
f>-4 or [-4,infinity) sl try this
Answer:
f > -4
Step-by-step explanation:
1. think of the inequality as a regular equation --> -1f=4
2. then divide both sides by -1 --> (-1f/-1) = 4(-1); therefore f = -4
3. when dealing with inequalities, the equal sign is flipped if there is a negative value; since -1 is negative flip the inequality sign --> f > -4
The mass of a substance varies directly as the volume of the substance. If a mass of 30 kg of a substance has a volume of 6 liters, what is the volume of 65 kg of the substance?
Answer:
The volume of 65 kg of the substance is 13 liters.
Step-by-step explanation:
If a substance's mass varies directly from its volume, it means that the ratio of mass to volume remains constant. In this case, we can calculate the continuous ratio and then use it to find the volume.
Given:
Mass1 = 30 kg
Volume1 = 6 liters
Let's denote the constant ratio as k.
Mass1 / Volume1 = k
30 kg / 6 liters = k
k = 5 kg/liter
Now, we can find the volume2 for a mass of 65 kg using the constant ratio:
Mass2 = 65 kg
Volume2 = ?
Mass2 / Volume2 = k
65 kg / Volume2 = 5 kg/liter
To find Volume2, we can cross multiply:
65 kg = 5 kg/liter * Volume2
Volume2 = 65 kg / 5 kg/liter
Volume2 = 13 liters
Please awnser I will brainlist ( make sure 100% right) thanks
Answer:
90° and 90°.
Step-by-step explanation:
The only combination of 2 angles that sum to 180° with each not being less than 90° is 2 90° themselves! Technically, 90 is indeed not less than 90. It is not possible to find any other combinations because if one angle is made bigger, the other will be forced to become smaller, and if any angle becomes any smaller it will, of course, be less than 90° and thus not a solution to the problem.
I WILL MARK BRAINLIEST TO THE PERSON WITH THE BRAINLIEST ANSWER!! PLEASE ANSWER ALL QUESTIONS AND SHOW FULL SOLUTIONS. PLEASE SHOW ALL THE WORK NEEDED. THANK YOU.
9514 1404 393
Answer:
1a) x = 4
1c) x = 6
1d) x = 10
1f) x = -42
Step-by-step explanation:
1a) 3x -8 = 4
This is a "two step" equation with a variable term and constant on the same side of the equal sign. Step 1, add the opposite of that constant to both sides of the equation:
3x = 12
Step 2: divide both sides of the equation by the coefficient of the variable:
x = 4
__
1c) This is similar to 1a, except that it has variables on both sides of the equal sign. Find the variable term with the smallest coefficient. Here, it is -x, because the coefficient -1 is less than 2. Add the opposite of that term to both sides of the equation:
3x -8 = 10
Now, you have a 2-step equation in the same form as 1a. Solve it the same way.
3x = 18 . . . . add 8
x = 6 . . . . . . divide by 3
Check
2(6) -8 = 10 -(6)
12 -8 = 10 -6
4 = 4 . . . . . true; answer is correct
__
1d) After you eliminate parentheses using the distributive property, you end up with a 3-step equation as in 1c.
6x -12 = 3x +2x -2
6x -12 = 5x -2 . . . . . . combine like terms. (5x is the smallest x-term)
x -12 = -2 . . . . . . . . . subtract 5x
x = 10 . . . . . . . . . . . . add 12
Check
6(10 -2) = 3(10) +2(10 -1)
6(8) = 30 +2(9)
48 = 30 +18
48 = 48 . . . . true; answer is correct
__
1f) You can work this as is using the fractional coefficients. Most folks prefer to "clear fractions" first. To do that, you need to find the least common denominator and multiply both sides of the equation by it. The least common denominator of 1/3 and 1/2 is 6.
2x = 3x +42 . . . . . multiply both sides by 6
0 = x + 42 . . . . . . . subtract the smallest x-term from both sides
-42 = x . . . . . . . . . add -42
Check
(-42)/3 = (-42)/2 +7
-14 = -21 +7
-14 = -14 . . . . . . . true; answer is correct
___
If you work this using the given coefficients, you can subtract 1/3x to get ...
0 = x/6 +7
-7 = x/6 . . . . . subtract 7
-42 = x . . . . . . multiply by 6
You notice that we had to multiply by 6 in the solution process anyway. Doing that first makes the fractions go away, so is often the preferred solution method.
Answer:
Number 7 (I DONT KNOW THE OTHER ONES)
Step-by-step explanation:
Answer:
There are 19 quarters and 8 dimes.
Step-by-step explanation:
We will let x denote the amount of quarters.
Since there are 27 coins in total, (27-x) will be the amount of dimes there are.
Since each quarter is worth $0.25, the total value of quarters is given by 0.25x.
And since each dime is worth $0.10, the total value of dimes is given by 0.1(27-x).
We know that the total value of all 27 coins is $5.55. So, we can write the following equation:
So, we will determine the value of x, the amount of quarters there are.
First, let’s multiply everything by 100 to remove the decimals. So:
(Distribute)
(Distribute)
(Combine like terms)
(Subtract 270 from both sides)
(Divide both sides by 15)
So, the value of x is 19.
This means that there are 19 quarters.
So, the amount of dimes must be 27-19 or 8 dimes.
the number of students in a school increase to 504 from 450 after the good results shown in the board exams .What is the percentage increase in the number of students
Answer:
I looked it up and the first answer I got was 12% but I'm not too sure
no. increased by 504-450
=54 students
percentage increase=54×100/450
=5400/450
=12%
Step-by-step explanation:
PLEASE HELP
3(3x+5) Using x=5
Answer:
60
Step-by-step explanation
Describe how to determine whether or not two ratios are equivalent.
Please help due at 11:59 !
Answer:
ghjggjdjhjgj;jk;l
Step-by-step explanation:
If t follows a t7 distribution, find t0 such that (a) p(|t | < t0) =. 9 and (b) p(t > t0) =. 5
Value of t0 for option a is ±1.895 and for option, b is 1.895 using symmetric and complement properties respectively.
Given that t follows a t7 distribution let's understand what is t7 distribution
The t distribution (Student's t-distribution) is a "probability distribution used to estimate population parameters when the sample size is small (n<30) or the population variance is unknown".
The t-distribution describes a set of observations in which the majority of observations fall close to the mean and the remainder of the observations form the tails on either side. It is a type of normal distribution that is used for smaller sample sizes when the data variance is unknown.
The degrees of freedom of the t distribution determine its shape, and as the degrees of freedom increase, the t distribution approximates a normal distribution.
The degrees of freedom stand for "the number of distinct observations in a set of data. If we estimate a mean score from a single sample, for example, the number of independent observations is equal to the sample size minus one."
P(|t|<\(t_{0}\)) = 0.9
We can rewrite the expression using absolute value properties as follows:
P(-\(t_{0}\)<\(t_{7}\)<\(t_{0}\)) = 0.9
Using symmetric property we can write
1-2P(t7 < -t0) = 0.9
0.1 = 2P(t7 < -t0)
P(t7 < -t0) = 0.05
And we can find the value by typing "=T.INV(0.05,7)" into Excel.
So, in this case, the answer is t0 = ±1.895
for part B we have p(t>t0) = 0.05 for this we have to use complement rule
1- p(t7<t0) = 0.05
p(t7<t0) = 1 - 0.05
p(t7<t0) = 0.95
And we can find the value by typing "=T.INV(0.95,7)" into Excel.
So, in this case, the answer is t0 = 1.895
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Angle Q measures 30 degrees. If angle Q is rotated 15 degrees, what is the measure of angle Q′? (4 points)
30 degrees
45 degrees
150 degrees
180 degrees
Answer:
The Answer is A 30 degrees because it is rotated the degrees do not change
Step-by-step explanation:
what is the median of 10,12,24,18,14,26,22
Answer:
18
Step-by-step explanation:
18
in PE class, Josiah and his friends had to measure their heights. They each
used a different measurement tool, and then recorded their heights in the
chart below.
Josiah is 1 yard
Andy is 3 1/2 feet
Frank 31 inches
Question : Which of the following lists the boys’ heights in the correct order from
tallest to shortest?
Answer Choices:
A. Josiah, Andy, Frank
B. Frank, Josiah, Andy
C. Andy, Frank, Josiah
D. Andy, Josiah, Frank
Answer:
D
Step-by-step explanation:
3 1/2 = 1 yard and 1/2 inch then a yard then 31 divided by 12 is 2.??
Suppose that f(z) is an entire function with the property | f(z)| ≤ C|z|2 for all |z| ≥ R where C, R > 0 are positive real constants. Prove that f(z) is a polynomial with degree at most 2.
(Hint: show that f (3) (z0) = 0 for all z0 ∈ C using Cauchy estimates. What can you say from there?)
Given that |f(z)| ≤ C|z|^2 for all |z| ≥ R, where f(z) is an entire function, we aim to prove that f(z) is a polynomial with degree at most 2. To do this, we will use Cauchy estimates and show that the third derivative
Let's consider the third derivative of f(z), denoted as f'''(z). Using Cauchy estimates, we have:
|f'''(z_0)| ≤ (3!)/R^3 * sup|f(z)| on |z - z_0| = R,
where z_0 is any complex number. From the given property |f(z)| ≤ C|z|^2, we can substitute this inequality into the above estimate:
|f'''(z_0)| ≤ 6C/R^3 * R^2 = 6C/R.
Since C and R are positive constants, the right-hand side of the inequality tends to zero as R goes to infinity. Therefore, f'''(z_0) must be zero for all z_0 in the complex plane.
From this, we conclude that f(z) is a polynomial of degree at most 2. If f'''(z) is identically zero, it means that f(z) has no terms of degree higher than 2, and hence, it is a polynomial with degree at most 2.
Therefore, we have proved that if |f(z)| ≤ C|z|^2 for all |z| ≥ R, then f(z) is a polynomial with degree at most 2.
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Help me with this please
You have to dived :- oh it’s I-ready you have to see which one looks like a parallagram and if that did not help look up shapes that are parrallagram
Answer: I think B
Step-by-step explanation:
wewell I might be wrong
Pls help or I’m gonna fail
Answer:
SAMEEE
Step-by-step explanation:
Answer:
The equation for a cylinder is V = π r 2 h
Step-by-step explanation:
So this is what your equation would look like:
V = (π)(4)(2)(8)
Pi=3.14
Given a bag of 4 red marbles, 5 blue marbles & 6 green marbles, find the probability of drawing a blue marble, replacing it, and then drawing a green marble.
Answer:
15
Step-by-step explanation:
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
Help fast pleaseee thank u
The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy flow is 57%.
What is relative frequency?This refers to how many times a particular type of occasion takes place within the total number of observations. This type of frequency uses percentages, fractions, and proportions.
Formula for calculating Relative Frequency:
Relative Frequency = Count of event
Total number of Observation
From the question:
No of students that like Gym Juice in Elim School =5
No of students that like Energy Flow in Elim School =10
Total Number of students in Elim School =15
No of students that like Gym Juice in Cook Middle School =15
No of students that like Energy Flow in Cook Middle School =20
Total Number of students in Cook Middle School =35
Calculating The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy flow:
Relative Frequency = Count of event
Total number of Observation
Relative Frequency = 20
35
=0.57 or 57%
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2.) the acosta family went out to dinner. the price of the meal was $79.85. if the tip was 15%. how much money did the acosta family pay for the meal, including tip
the acosta family went out to dinner. the price of the meal was $79.85. if the tip was 15%.The Acosta family paid $91.83 for the meal, including the 15% tip.
To calculate the total amount paid, we need to add the original price of the meal to the tip amount. The price of the meal was $79.85, and the tip was 15% of that amount. To find the tip, we multiply $79.85 by 0.15 (or 15% expressed as a decimal), which equals $11.98. Adding the tip of $11.98 to the original price, the total amount paid is $91.83.
In more detail, a 15% tip means that 15% of the meal price is added as an extra amount to the bill. To calculate the tip, we multiply the meal price ($79.85) by 0.15 (or 15% as a decimal), resulting in $11.98. This represents the additional amount the Acosta family paid for the tip. To find the total amount paid, we add the tip amount to the original meal price: $79.85 + $11.98 = $91.83. Therefore, the Acosta family paid $91.83 for the meal, including the tip.
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An angle measures 4.3 radians. To the nearest degree, what is the measure of the angle? degrees
Answer:
Step-by-step explanation:
\(\frac{deg}{rad}=\frac{360}{2\pi}=\frac{180}{\pi}\\ \\ deg=\frac{180rad}{\pi}\\ \\ deg=\frac{180(4.3)}{\pi}\\ \\ deg=\frac{774}{\pi}^o\\ \\ deg\approx 246^o\)
Answer:
246
Step-by-step explanation:
Test the series for convergence or divergence. Make very clear which test you are using. 722n (1+)ơn 3n
To determine whether the series is converging or diverging, additional tests may be required, such as the Comparison Test or the Limit Comparison Test.
To test the series for convergence or divergence:
\(\Sigma_{n=1}^{\infty} \frac{n^{2n}}{(1+n)^{3n}}\)
The Ratio Test can be used to assess if the series is converging or diverging. According to the ratio test, a series converges if the absolute limit of the ratio between two consecutive terms is less than 1. The series diverges if the limit is higher than 1. The test is not convincing if the limit is equal to 1.
Let's use our series to illustrate the Ratio Test:
\(lim_{n\rightarrow \infty} |\frac{(n+1)^{2(n+1)}}{(1+(n+1)^{3(n+1)}} \times \frac{(1+n)^{3n}}{ n^{2n}}|\)
Simplifying the expression:
\(lim_{n\rightarrow\infty} \left|\left(\frac{n+1}{n}\right)^{2(n+1) - 3n} \times \frac{((1+n) / (1+n))^{3n}}{(1+n)^{3(n+1) - 2n}}\right|\)
\(lim_{n\rightarrow\infty} \left|\left(\frac{n+1}{n}\right)^{-n + 2} \times \frac{(1+n)^{3n}}{ (1+n)^{n+3}}\right|\)
\(lim_{n\rightarrow\infty} |\left(\frac{n+1}{n}\right)^{-n + 2} \times (1+n)^{3n - (n+3)}|\)
\(lim_{n\rightarrow\infty} \left|\left(\frac{n+1}{n}\right)^{-n + 2} \times (1+n)^{2n - 3}\right|\)
As n approaches infinity, the limit of \(\left|\frac{n+1}{n}\right|\) is 1.
Therefore, the limit simplifies to:
\(lim_{n\rightarrow\infty} |(1+n)^{2n - 3}|\)
The limit is positive because for n 1, the exponent 2n - 3 is always positive.
As a result, 1 is the absolute limit of the ratio of successive words.
The Ratio Test states that the test is inconclusive when the limit equals 1, and we cannot tell whether the series converges or diverges based solely on this test.
To ascertain if the series is converging or diverging, further tests, such as the Comparison Test or the Integral Test, may be necessary.
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The complete question is:
Test the series for convergence or divergence.
Make very clear which test you are using.
\(\Sigma_{n=1}^{\infty}\frac{n^{2n}}{(1+n)^{3n}}\)
Negative sixteen plus the quotient of a number and 2 is 35.
If negative sixteen plus the quotient of a number and 2 is 35, the number is 102.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = x
Negative sixteen plus the quotient of a number and 2 is 35.
This can be written as,
Quotient of a number and 2.
x ÷ 2 = M (quotient)
So,
-16 + M = 35
Now,
Solve for M.
M = 35 + 16
M = 51
Now,
x ÷ 2 = 51
x/2 = 51
x = 51 x 2
x = 102
Now,
We can cross-check.
-16 + 51 = 35
35 = 35
Thus,
The number is 102.
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Solve for X. Thank you
Answer:
x = 4
Step-by-step explanation:
The segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is
\(\frac{15}{20}\) = \(\frac{x+2}{14-(x+2)}\)
\(\frac{3}{4}\) = \(\frac{x+2}{14-x-2}\) = \(\frac{x+2}{12-x}\) ( cross- multiply )
4(x + 2) = 3(12 - x) ← distribute parenthesis on both sides )
4x + 8 = 36 - 3x ( add 3x to both sides )
7x + 8 = 36 ( subtract 8 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
Find the distance between the two points in simplest radical form (-3,4) (-9,2)
Answer:
i need points soorryyy
Step-by-step explanation:
l0394
both questions are on the picture
Answer:
the first one is m, the second one is 5
Answer:
m and 5
Step-by-step explanation:
variable=the letter
m
coefficient= the number before the letter
5
if x=2 what is x-6/8 + 5
Answer:
\( \frac{9}{2} \)Solution,
X=2
Now,
\( \frac{x - 6}{8} + 5 \\ = \frac{2 - 6}{8} + 5 \\ = \frac{ - 4}{8} + 5 \\ = \frac{ - 4 + 5 \times 8}{8} \\ = \frac{ - 4 + 40}{8} \\ = \frac{36}{8} \\ = \frac{9}{2} \)
hope this helps ..
Good luck on your assignment..
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two pink
marbles if the first one is NOT placed back
into
the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Answer:
\(Pr = \frac{1}{45}\)
Step-by-step explanation:
Given
\(Black =5\)
\(Pink = 2\)
\(Blue = 3\)
Required
\(P(Pink\ and\ Pink)\)
This is calculated as:
\(Pr = P(Pink) * P(Pink)\)
Because it is a selection without replacement, the probability is:
\(Pr = \frac{n(Pink)}{Total} * \frac{n(Pink) - 1}{Total - 1}\)
\(Pr = \frac{2}{10} * \frac{2 - 1}{10 - 1}\)
\(Pr = \frac{2}{10} * \frac{1}{9}\)
\(Pr = \frac{1}{5} * \frac{1}{9}\)
\(Pr = \frac{1}{45}\)
the probability of at least one head in two flips of a coin is
The probability of getting at least one head in two flips of a coin is 3/4 or 0.75, which means that there is a 75% chance of getting at least one head in two flips of a coin.
To find the probability of at least one head in two flips of a coin, we can use the complement rule. The complement of the event "at least one head" is "no heads."
The probability of getting no heads in two flips of a coin is (1/2) x (1/2) = 1/4.
Therefore, the probability of getting at least one head in two flips of a coin is:
1 - (probability of no heads) = 1 - 1/4 = 3/4
The probability of getting at least one head in two flips of a coin is 3/4 or 0.75, which means that there is a 75% chance of getting at least one head in two flips of a coin.
In other words, if you flip a coin twice, the probability of getting at least one head is relatively high, and you are more likely to get at least one head than to get no heads at all.
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Andy spent the following amounts on lunches this week
Algebra is used to solve the mathematical problems, the total amount spent by Andy on lunches in this week is equals to $195.
Algebra is the branch of mathematics that use in the representation of problems or situations in the form of mathematical expressions. Mathematical ( arithmetic) operations say multiplication (×), division (÷), addition (+), and subtraction (−) are used to form a mathematical expression.
We have, a data of amount spent by Andy on lunches in a week. Let the total amount spent by him in this week be "x dollars". Using algebra of mathematics, we can written as x = sum of amounts spent by him in whole week so, x = $50 + $20 + $10 + $25 + $25 + $15 + $50 = $195
Hence, required total amount value is $195.
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Complete question:
Andy spent the following amounts on lunches this week,
day. amount
Sunday $50
Monday. $20
Tuesday $10
Wednesday $25
Thursday $25
Friday $15
Saturday $50
Calculate total amount he spent in this week.
Which goal is most likely to be met with a certificate of deposit?
saving enough for retirement
O making a large profit on the investment
keeping money safe while earning some interest
reducing amount of taxable income
Answer:
save your money when u get it
Step-by-step explanation:
it helps
Simplify the exponential expression.
The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The expression:
\(= \rm \dfrac{(g^3)(6^3)(p^7)}{(6)(g^2)(p^2)(p)}\)
After using the properties of integer exponent:
\(\rm =\dfrac{g^3\cdot \:6^2p^7}{g^2p^2p}\)
\(\rm =\dfrac{g\cdot \:6^2p^5}{p}\)
= g . 6² . p⁴
Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
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Question 4 In AABC, what is the measure of ZC?
Answer:
C = 36°Explanation:
180 = 6x + 2x + 2x
180 = 10x
x = 180/10
x = 18
C = 2x
C = 18×2
C = 36°