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Natalie recorded her exercise for a week. She ran 16 miles, swam 3 miles, biked 22 miles, and rollerbladed 7 miles. What part of her total distance during the week did she run?
Two numbers have a difference of 24. What is the sum of their squares if it is a minimum?
288
1156
366
576
A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. An adult ticket costs twice as much as a student ticket.
Many communities today are concerned with their local government’s ability to appropriately manage the taxes it collects. If a government spends more money on expenditures than it collects in taxes, it may end up with not enough money, called deficit. Which of the following could result in a county government budget in deficit?
a.The government raises sales and property taxes without adjusting expenditures.
b.The county closes a fire station, reducing expenditures, without adjusting taxes.
c.The county gives all public school teachers a $2,000 raise without adjusting taxes.
d.The county collects donations to build a fountain in city hall.
Answer:
C.The county gives all public school teachers a $2,000 raise without adjusting taxes.
Step-by-step explanation:
100% on edge
The correct answer is Option (C).The county gives all public school teachers a $2,000 raise without adjusting taxes.
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27 is 2/3 of what number?
The perimeter of a given is an integer. the length of side one is 4 times the length of side 2. side three is 33. what is the largest and smallest possible perimeter
If an inequality is multiplied or divided by a negative number, the inequality sign should be ___________.
Answer:
You should change the direction of the sign.
Step-by-step explanation:
This is a general rule for all inequalities. Whenever multiplying or dividing by a negative, always change the direction of the sign
what percent is 608 million of 845 million
The data below were obtained from a pulse-chase experiment in which cells were examined at different times during the chase period. the numbers represent the radioactivity (measured in counts per minute) recorded at each of the indicated sites. the higher the number, the greater the radioactivity. time er golgi cytoplasm lysosomes extracellular space 3 minutes 162 7 21 5 4 20 minutes 73 88 17 10 8 60 minutes 9 35 14 112 13 120 minutes 11 23 18 151 10 based on these data, what is the most likely function of the cells in this experiment
Final answer:
The most likely function of the cells in this pulse-chase experiment is to synthesize, process, and degrade or secrete proteins. This is deduced from the movement of radioactivity from the ER to the Golgi apparatus, then to lysosomes and the extracellular space over time.
Explanation:
Based on the data provided, which stem from a pulse-chase experiment, we can infer the most likely function of the cells. Initially, radioactivity is high in the endoplasmic reticulum (ER), indicating that newly synthesized proteins, likely labeled with radioactive amino acids, are present there.
As time progresses, radioactivity moves to the Golgi apparatus, implying that proteins are being processed and modified.
Eventually, the highest levels of radioactivity are found in the lysosomes and then the extracellular space, suggesting that these proteins are being degraded and secreted respectively.
This sequence of events indicates that the cells are involved in synthesizing, processing, and secreting proteins, with some being targeted for degradation in lysosomes.
This is a fundamental part of the protein secretory pathway in cells. The data reveal the dynamic movement of molecules within the cell, reflecting the pathway from synthesis to secretion or degradation.
Can anybody help me with questions 6-9?
6. z=2a-p
7. w= A/L
8. w= v/Lh
9. t= (A-P)/PR
In June, a runner ran a mile in 7:45. In September, the runner ran a mile in 5:51.
Find the percent of change from June to September. Round to the nearest hundredth of a percent.
Answer: 24.52%
Step-by-step explanation: Convert times into decimals by dividing the seconds by 60. (7:45 = 7.75 | 5:51 = 5.85) Subtract 7.75 and 5.85 which equals 1.9
1.9/7.75 = 0.2451612903
Rounded to 0.2452 = 24.52%
Type an equation of the horizontal line that passes through the point (-2,5)
The equation of the horizontal line that passes through the point ( -2 , 5 ) is
y = 5
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , let the point be A ( x₁ , y₁ )
The value of A ( x₁ , y₁ ) = A ( -2 , 5 )
Now , the slope of the line m is given by
Since , the line is a horizontal line , the slope of the line m = 0
Slope m = 0
Now , the equation of line is given by the equation
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 5 = 0 ( x + 2 )
y - 5 = 0
Adding 5 on both sides of the equation, we get
y = 5
Therefore, the value of A is y = 5
Hence ,
The equation of the horizontal line that passes through the point ( -2 , 5 ) is y = 5
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Find the volume of a cube whose side measures 2.5 units.
Final answer:
The volume of a cube with side length 2.5 units can be calculated using the formula V = s³, resulting in a volume of 15.625 cubic units.
Explanation:
To find the volume of a cube with a side length of 2.5 units, we can use the formula for the volume of a cube, which is V = s³, where V represents volume and s represents the side length of the cube.
Using this formula:
s = 2.5 units
V = 2.5³ = 2.5 × 2.5 × 2.5 = 15.625 units³
So, the volume of the cube is 15.625 cubic units.
The frequency of an AM radio is 1.4 x 106 hertz (cycles per second). Approximately, how many cycles are completed in a minute?
Answer:
84,000,000
Step-by-step explanation:
Nolan did the following work to solve the problem -14.52 + 7.3. 14.52 - 7.3 7.22 So, 14.52 - 7.3 = 7.22 Which of the statements is true about his work and answer? His answer is correct. His answer is incorrect, because the answer should be negative. His answer is incorrect, because he didn't line up the decimals.
The true statement is: His answer is incorrect, because the answer should be negative.
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
Step 1: -14.52 + 7.3
Step 2: 14.52 - 7.3
Step 3: 7.22
So, 14.52 - 7.3 = 7.22
Nolan made a mistake in step 2 because 14.52 is negative and the answer should be negative.
So, His answer is incorrect, because the answer should be negative.
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△EFG≅△JKL.
What is m∠K?
___°
K is the middle letter of the triangle JKL so it would be the same as the middle letter of the triangle EFG
so K = F
F = 62 degrees, so K = 62 degrees
Both triangles are congruent so the corresponding angle will be the same K is the mid-latter of JKL thus K will be the same as the mid-later of EFG therefore, K=F=62°.
What is congruence?If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.
As per the given question,
△EFG≅△JKL
Now it is known that all corresponding angles in two congruent triangles are the same.
Now K is the mid-latter of JKL thus K will be the same as the mid-later of EFG.
Mid latter of EFG = F
Given that m∠F = 62°
Therefore, m∠K = m∠F = 62°
Hence "Both triangles are congruent so the corresponding angle will be the same K is the mid-latter of JKL thus K will be the same as the mid-later of EFG therefore, K=F=62°".
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Help me please i will award
what fractions is 0.75 equal to
help in math ...........................................
Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2.5 when y = 100.
Answer:
constant of variation(k) is, 250.
[tex]y = \frac{250}{x}[/tex]
Step-by-step explanation:
The inverse variation says that:
[tex]y \propto \frac{1}{x}[/tex]
then, the equation is in the form of :
[tex]y = \frac{k}{x}[/tex] ....[1] where, k is the constant of variation
As per the statement:
Suppose that y varies inversely with x.
then,
by definition of inverse variation we have;
[tex]y = \frac{k}{x}[/tex]
When x = 2.5 and y = 100 then
Substitute these in [1] we have;
[tex]100 = \frac{k}{2.5}[/tex]
Multiply 2.5 both sides we have;
[tex]250 = k[/tex]
or
k = 250
⇒[tex]y = \frac{250}{x}[/tex]
Therefore, the constant of variation is, 250 and the equation we get [tex]y = \frac{250}{x}[/tex]
A piggy bank contains $2.40 in nickels and dimes. If there are 33 coins in all, how many nickels are there?
To find the number of nickels in the piggy bank, you can set up a system of equations based on the total number of coins and the total value of all the coins. By solving this system, you can determine the number of nickels.
Explanation:To find the number of nickels in the piggy bank, we need to set up a system of equations. Let's use n to represent the number of nickels and d to represent the number of dimes.
The total value of the nickels can be calculated by multiplying the number of nickels (n) by the value of each nickel, which is $0.05. So, the value of the nickels is 0.05n.
The total value of the dimes can be calculated by multiplying the number of dimes (d) by the value of each dime, which is $0.10. So, the value of the dimes is 0.10d.
We can set up two equations based on the given information:
Equation 1: n + d = 33 (total number of coins)
Equation 2: 0.05n + 0.10d = 2.40 (total value of all coins)
Now we can solve this system of equations to find the number of nickels (n).
Multiplying Equation 1 by 0.05 gives us: 0.05n + 0.05d = 1.65
Subtracting Equation 2 from this gives us: 0.05d - 0.10d = 1.65 - 2.40
Simplifying, we get: -0.05d = -0.75
Dividing both sides by -0.05, we find: d = 15
Substituting this value back into Equation 1, we get: n + 15 = 33
Subtracting 15 from both sides, we find: n = 18
Therefore, there are 18 nickels in the piggy bank.
To find the number of nickels in the piggy bank, set up a system of equations and solve. There are 18 nickels in the piggy bank.
Explanation:To find the number of nickels in the piggy bank, you need to set up a system of equations based on the information given. Let's assume that the number of nickels is represented by 'n' and the number of dimes is represented by 'd'. From the problem, we know that there are 33 coins in total, so we can write the equation 'n + d = 33'. We also know that the value of the nickels, in cents, is 5n and the value of the dimes, in cents, is 10d. Since the total value of the coins is $2.40, we can write the equation '5n + 10d = 240'. Now we can solve this system of equations to find the number of nickels.
To solve the system of equations, we can use the substitution method. Rearrange the first equation to get 'n = 33 - d', and substitute this expression for 'n' in the second equation: '5(33 - d) + 10d = 240'. Simplify the equation to get '165 - 5d + 10d = 240'. Combine like terms to get '5d = 75'. Divide both sides by 5 to get 'd = 15'. Substitute this value of 'd' back into the first equation to find 'n': 'n + 15 = 33', 'n = 18'.
Therefore, there are in the piggy bank.
Four people share 2 9 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? in simplest form.
The sum of the measures of the interior angles of a triangle is _____ degrees.
A:90
B:180
C:270
C:360
the interior angles of a triangle need to equal 180 degrees
Answer is B
Answer:
180 is the answer
Determine if the lines are parallel, perpendicular, or neither 4x+5y=10 and 5x - 4y =28
PLEASE HELP
Which linear inequality is represented by the graph?
y ≥ x – 4
y ≤ x – 4
y ≤ x + 4
y ≥ x + 4
Answer:
y ≤ x – 4 will be the linear inequality is represented by the graph.
Step-by-step explanation:
Given : graph.
To find : Linear inequality equations .
Solution : We have given graph,
We can see from graph here y intercept is -4 and solid line shaded below ,
Since , For shaded below graph we can say equation have less than equal sign. and y intercept -4.
Therefore, y ≤ x – 4 will be the linear inequality is represented by the graph.
Answer:
B
Step-by-step explanation:
because the line goes through -4 evenly
Which of the following statements are true? Check all that apply.
The perimeter of a square depends on the length of its sides. A square with a side length of 4 meters has a perimeter of 16 meters. A square with a side length of 6 meters has a perimeter of 24 meters.
A. Perimeter(16) = 4
B. Perimeter(6) = 24
C. Perimeter(24) = 6
D. Perimeter(4) = 16
-4 5/9 + 8/9 =
Please help me I don't know the answer my test is tomorrow!!!
An unfair coin with p(h) = 0.6 is flipped 3 times and the result of each toss is noted. what is the probability that there are at least two heads?
What is the slope of the line containing (–2, 5) and (4, –4)?
A. 2
B. –3/2
C. –2
D. 3/2
The slope of line containing the points (-2, 5) and (4, -4) is [tex]\frac{-3}{2}[/tex].
What is slope of the line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
What is the formula for finding the slope of line from two points?[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
Where,
m is the slope of line.
[tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2},y_{2})[/tex] are the two points.
According to the given question.
We have two points (-2,5) and (4,-4).
Therefore, the slope of the line containing the points (-2, 5) and (4, -4) is given by
[tex]m = \frac{-4-5}{4-(-2)}[/tex]
⇒[tex]m = \frac{-9}{6}[/tex]
⇒[tex]m =\frac{-3}{2}[/tex]
Hence, the slope of line containing the points (-2, 5) and (4, -4) is [tex]\frac{-3}{2}[/tex].
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A quiz consists of 20 multiple-choice questions, each with 5 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 60 %.
To find the probability of passing the quiz, we need to determine the minimum number of correct answers needed to achieve a passing grade. The probability of guessing the correct answer for each question is 1/5, so the probability of getting exactly 12 correct answers is calculated using the binomial probability formula.
Explanation:To find the probability of passing the quiz, we need to determine the minimum number of correct answers needed to achieve a passing grade. Since a passing grade is 60%, this corresponds to 12 correct answers out of 20. The probability of guessing the correct answer for each question is 1/5, so the probability of getting exactly 12 correct answers is given by the binomial probability formula:
P(X = k) = (nCk) * p^k * (1-p)^(n-k)
Using this formula, we can calculate the probability of passing the quiz.
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The problem can be solved using binomial distribution principles where the number of trials is the total number of questions (20), success is answering a question correctly, and the probability of success is 1/5 since the answers are guessed randomly. Calculate the cumulative binomial probability for getting 12 (minimum passing grade at 60%) to 20 (total questions) correct answers. This gives the probability of passing the test.
Explanation:The question asks about the probability of passing a 20 question quiz with each question having 5 possible answers, by making random guesses. To pass the quiz, a grade of 60% is required which means at least 12 questions need to be answered correctly. Since the answers are guessed randomly, the chance of picking the correct answer for each question is 1/5 or 0.2.
We can treat this problem as a binomial distribution problem, where the success is answering a question correctly. In this case, the number of trials is n=20 (the total number of questions), the number of success k is 12 or more (the minimum number of correct answers required to pass), and the probability of success p is 0.2 (since there are 5 multiple choice options per question).
Calculating the cumulative binomial probability for k=12 to n=20, we get the required probability of passing the test. Given that we have to calculate multiple probabilities and sum them, this problem might be easier to solve if you have statistical software or a calculator that can compute binomial distributions.
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