Answer
y=-19/4
Step by-step explanation:
Subtract the numbers
y=-3/4 -4
y=-19/4
Please solve on same Kind of coordinate plane. Thank you!
Answer:
(0,8)
Step-by-step explanation:
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
pretty sure its 5 since 5 is the hoghest exponent
A certain forest covers an area of 1700 km? Suppose that each year this area decreases by 45%. What will the area be after s years?
Answer:
575 square kilometer
Step-by-step explanation:
a new car is purchased for 18500 dollars. the value of the car depreciates at 8% per year. to the nearest tenth of a year, how long will it be until the value of the car is 9100 dollars?
Answer:
8.5 years
Step-by-step explanation:
You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.
ValueThe depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...
value = (initial value) × (1 - (depreciation rate))^t
where the rate is "per year" and t is in years.
Applicationvalue = 18500·(1 -0.08)^t
9100 = 18500·0.92^t . . . . fill in the value of interest
9100/18500 = 0.92^t . . . . divide by 18500
log(91/185) = t·log(0.92) . . . . take logarithms
t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509
It will be about 8.5 years until the value is $9100.
__
Additional comment
The graph shows the solution to ...
18500·0.92^t -9100 = 0
We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.
Identify the vertex of the function, fx) = 3(x - 1)2 + 5.
Answer:
fx) = \(3x+4\)
Step-by-step explanation:
1. step:
solve the bracket
fx) = 3(\(x\) - 1) 2 + 5
\(fx) = 3x-1+2+5\)
2. step:
use the BEDMAS form.
fx) = \(3x-3+7\)
fx) = \(3x+4\)
The center of a circle is at (2, −5) and its radius is 12.
What is the equation of the circle?
(x−2)2+(y+5)2=144
(x+2)2+(y−5)2=24
(x−2)2+(y+5)2=24
(x+2)2+(y−5)2=144
Answer:
The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A
Step-by-step explanation:
The form of the equation of the circle is (x - h)² + (y - k)² = r², where
r is the radius of the circleh, k are the coordinates of the center of the circleLet us solve the question
∵ The center of the circle is at (2, -5)
→ From the rule above
∴ h = 2 and k = -5
∵ The radius of the circle is 12
∴ r = 12
→ Substitute the values of r, h, and k in the form of the equation above
∵ (x - 2)² + (y - -5)² = (12)²
∴ (x - 2)² + (y + 5)² = 144
∴ The equation of the circle is (x - 2)² + (y + 5)² = 144
For the figure shown on the right, find the value of the variable and the measures of the angles.
X=
m
Answer:
P = 61
Q = 79
R = 40
Step-by-step explanation:
(2x - 19) + (x + 39) + x = 180
2x + x + x = 180 + 19 - 39
4x = 160
x = 40
P = 2x - 19 = 2(40) - 19 = 61
Q = x + 39 = 40 + 39 = 79
R = x = 40
to estimate the true mean speed of vehicles traveling on a particular section of roadway, a speed-detection device is programmed to measure the speed of the first 100 vehicles that pass it. are the conditions for constructing a t confidence interval met? no, the random condition is not met. no, the 10% condition is not met. no, the normal/large sample condition is not met. yes, the conditions for inference are met.
It's difficult to say whether the conditions for constructing a t-confidence interval are met based on the information provided. To construct a t-confidence interval, three conditions must be met:
The sampling method must be random. It's not specified in the problem whether the method of selecting the vehicles was random or not, so it's impossible to say whether this condition is met.
The sample size must be large enough. A sample size of 100 vehicles is considered to be large enough for the normal/large sample condition to be met.
The population must be approximately normally distributed or the sample size must be large. Since the problem does not specify anything about the distribution of the population, it is not clear if this condition is met.
Given that the information provided does not give enough details to state whether the conditions for constructing a t-confidence interval are met or not.
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a circle has a circumference of 615.44615.44615, point, 44 units. what is the radius of the circle? use 3.14 for \piπpi and enter your answer as a decimal.
A circle with a circumference of 615.44 units has a radius of 98 units.
A circle is a round closed figure where all its boundary points are equidistant from a fixed point called the center.
The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant \(\pi\) and the diameter of the circle.
C = \(\pi\)D
The diameter (D) is the distance across the circle through the center, it is a line that meets the circumference at both ends and it needs to pass through the center. On the other hand, the radius (r) of a circle is the distance from the center of a circle to any point on the circumference of the circle. Radius is half of the diameter.
If r = 1/2 D, then
D = 2r
Evaluating the value of Din the formula of the circumference,
C = \(\pi\)(2r)
C = 2\(\pi\)r
Using the value of \(\pi\) as 3.14 and the circumference as 615.44 units,
evaluate the equation.
C = 2\(\pi\)r
615.44 = 2(3.14)r
r = 615.44/ (2*3.14)
r = 98 units
Therefore, the radius of the circle is 98 units.
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Wiglaf was one of beowulf's geats who traveled to denmark in the quest to defeat grendel? true or false
True, Wiglaf was indeed one of Beowulf's Geats who joined him on the quest to defeat Grendel in Denmark. Wiglaf's loyalty and bravery are showcased throughout the epic poem Beowulf, particularly during the final battle against a dragon
In the epic poem Beowulf, Wiglaf is portrayed as a loyal warrior and one of Beowulf's trusted followers from the Geat tribe. When Beowulf embarks on the quest to Denmark to confront and defeat the monstrous creature Grendel, Wiglaf is among the warriors who join him in this dangerous endeavor.
Wiglaf plays a significant role in the story, particularly during the final battle against a dragon later in the poem. He displays unwavering loyalty and bravery by coming to Beowulf's aid when other warriors retreat in fear. Wiglaf's actions exemplify the importance of camaraderie and loyalty within the Geatish society, highlighting the themes of honor and heroism present throughout the poem.
Therefore, it is true that Wiglaf was one of Beowulf's Geats who traveled to Denmark in the quest to defeat Grendel, showcasing his unwavering loyalty and support for his leader.
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simplify the following
The simplest form of the expression can be shown as;
(y - 4) (y + 1)/(y + 4) (y - 3)
What is the simplified form?Simplifying algebraic expressions involves reducing or combining like terms, applying the distributive property, and performing operations such as addition, subtraction, multiplication, and division.
Step 1;
We know that we can write the expression as shown in the form;
(y - 1) (y + 2)/ (y + 3) ( y + 4) ÷ (y + 2) (y - 5)/(y + 3) ( y - 4) * (y + 1) (y - 5)/ (y -1) (y - 3)
Step 2;
(y - 1) (y + 2)/ (y + 3) ( y + 4) * (y + 3) ( y - 4)/(y + 2) (y - 5) * (y + 1) (y - 5)/ (y -1) (y - 3)
Step 3;
The simplest form then becomes;
(y - 4) (y + 1)/(y + 4) (y - 3)
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Enter an equation that gives the cost of renting a car for x days from Rent-AIL.The equation is y = ?
We want to find an equation that gives the cost of renting a car for x days from Rent-AIL. We are given the table with the total cost for 3, 4, 5 or 6 days.
We will assume that the values are in a linear relationship, and thus we will use two of the data given as points of the cartesian plane for finding the the equation. We have that for 3 days the cost is $49.50, and the corresponding point will be:
\((3,49.5)\)And for 4 days the cost is $66, the point will be:
\((4,66)\)We will find the slope of the line that passes through those two points, with the formula:
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{66-49.50}{4-3}=\frac{16.5}{1}=16.5 \end{gathered}\)And the slope will be 16.5. Now we will find the y-intercept,
\(\begin{gathered} y=mx+b \\ 66=(16.5)(4)+b \\ 66-66=b \\ 0=b \end{gathered}\)This means that the y-intercept is 0, and thus, the equation that gives the cost of renting a car for x days from Rent-AIL is:
\(\begin{gathered} y=mx+b \\ y=16.5x \end{gathered}\)In a city of people, there are women. what is the probability that a randomly selected person from the city will be a woman?
The probability of randomly selecting a woman from a city depends on the proportion of women in the city's population.
The probability of selecting a woman from the city can be determined by the proportion of women in the population.
Let's assume there are 1000 people in the city, with 500 being women and 500 being men. In this case, the probability of randomly selecting a woman would be 500/1000, or 0.5 (or 50%).
However, if there are more or fewer women in the city, the probability will change accordingly.
For example, if there are 600 women and 400 men, the probability would be 600/1000, or 0.6 (or 60%).
Therefore, the probability of randomly selecting a woman from the city depends on the ratio of women to the total population.
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when working modulo $m$, the notation $a^{-1}$ is used to denote the residue $b$ for which $ab\equiv 1\pmod{m}$, if any exists. for how many integers $a$ satisfying $0 \le a < 100$ is it true that $a(a-1)^{-1} \equiv 4a^{-1} \pmod{20}$?
There are 100 integers 'a' satisfying the congruence relation $a(a-1)^{-1} \equiv 4a^{-1} \pmod{20}$, where $0 \leq a < 100$.
To determine the number of integers 'a' satisfying the congruence relation:
$a(a-1)^{-1} \equiv 4a^{-1} \pmod{20}$
First, we can rewrite the congruence as:
$a(a-1)^{-1} - 4a^{-1} \equiv 0 \pmod{20}$
Multiplying both sides by $(a-1)a^{-1}$ (which is the inverse of $(a-1)$ modulo 20) yields:
$a - 4(a-1) \equiv 0 \pmod{20}$
Simplifying further, we have:
$a - 4a + 4 \equiv 0 \pmod{20}$
$-3a + 4 \equiv 0 \pmod{20}$
To solve this congruence relation, we can consider the values of 'a' from 0 to 99 and check how many satisfy the congruence.
For $a = 0$:
$-3(0) + 4 \equiv 4 \pmod{20}$
For $a = 1$:
$-3(1) + 4 \equiv 1 \pmod{20}$
For $a = 2$:
$-3(2) + 4 \equiv -2 \pmod{20}$
Continuing this process for each value of 'a' from 0 to 99, we can determine how many satisfy the congruence relation. However, in this case, we can observe a pattern that repeats every 20 values.
For $a = 0, 20, 40, 60, 80$:
$-3a + 4 \equiv 4 \pmod{20}$
For $a = 1, 21, 41, 61, 81$:
$-3a + 4 \equiv 1 \pmod{20}$
For $a = 2, 22, 42, 62, 82$:
$-3a + 4 \equiv -2 \pmod{20}$
And so on...
Thus, the congruence relation is satisfied for the same number of integers in each set of 20 consecutive integers. Hence, there are 5 sets of 20 integers that satisfy the congruence relation. Therefore, the total number of integers 'a' satisfying the congruence is 5 * 20 = 100.
Therefore, there are 100 integers 'a' satisfying the congruence relation $a(a-1)^{-1} \equiv 4a^{-1} \pmod{20}$, where $0 \leq a < 100$.
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7th grade math help me pleaseeee
Answer:
-11
Step-by-step explanation:
6*3=18+2*3=24
7*5=35
24-35=-11
A runner sprints 100m at 8m/s what is time?
Answer:
12.5 sec
Step-by-step explanation:
distance = speed x time
distance / speed = time
100/8 = 12.5
12.5seconds
hope this helps
brainliest plz?
x
A kicker made 10 of his last 12 field goals. Predict about how many of his next 42 field goals the kicker will not make. Show your work.
The number of his next 42 field goals the kicker will not make will be 35.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A kicker made 10 of his last 12 field goals.
Predict the number of his next 42 field goals the kicker will not make will be
Let x be the number of his next 42 field goals the kicker will not make.
Then we have
x / 10 ≠ 42 / 12
x ≠ 35
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Take a guess as to what proportion of students at your school wear glasses in class.
Write down an interval which you believe with 80% confidence to contain the actual value of this population parameter.
With 80% confidence, the proportion of students at your school who wear glasses in class is between 31.13% and 48.87%.
To estimate the proportion of students at your school who wear glasses in class, you can use an 80% confidence interval. Here's a step-by-step explanation of how to do this:
1. First, take a sample of students at your school and record the number of students who wear glasses and the total number of students in the sample. For example, you might observe that 20 out of 50 students in your sample wear glasses.
2. Calculate the proportion of students who wear glasses in your sample. In our example, this would be 20/50 = 0.4, or 40%.
3. Next, calculate the standard error for your sample proportion. The formula for this is:
Standard Error (SE) = sqrt[(p × (1 - p)) / n],
where p is the sample proportion and n is the sample size. In our example, SE = sqrt[(0.4 × 0.6) / 50] ≈ 0.0693.
4. Since you want an 80% confidence interval, you need to find the critical value (z-score) that corresponds to the middle 80% of a standard normal distribution. You can find this value using a z-score table or an online calculator. For an 80% confidence interval, the critical value is approximately 1.28.
5. Now, calculate the margin of error using the critical value and the standard error. The margin of Error = Critical Value * Standard Error. In our example, this would be 1.28 × 0.0693 ≈ 0.0887.
6. Finally, construct the confidence interval by adding and subtracting the margin of error from the sample proportion. In our example, this would give us a range of (0.4 - 0.0887) to (0.4 + 0.0887), or approximately 0.3113 to 0.4887.
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Henry opens a savings account that has a 4.5% annual interest
rate. After 18 months, he receives $75,000. How much did he invest?
Show all work
Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.
Here are the steps on how to calculate the amount Henry invested:
Convert the annual interest rate to a monthly rate.
\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)
Calculate the number of years.
\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)
Use the compound interest formula to calculate the amount Henry invested.
\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)
where:
FV is the future value ($75,000)
PV is the present value (unknown)
r is the interest rate (0.375%)
t is the number of years (1.5 years)
\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)
\$75,000 = PV * 1.0297
\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)
PV = \$72,831.68
Therefore, Henry invested \$72,831.68 in the savings account.
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if f(1) = 12, f ' is continuous, and 6 f '(x) dx 1 = 16, what is the value of f(6)
To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.
Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:
∫[a to b] f '(x) dx = f(b) - f(a)
In this case, we are given that:
∫[1 to 6] 6 f '(x) dx = 16
We can simplify the integral:
6 ∫[1 to 6] f '(x) dx = 16
Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:
6 f(6) - 6 f(1) = 16
Substituting the given value f(1) = 12:
6 f(6) - 6(12) = 16
6 f(6) - 72 = 16
Next, we isolate the term with f(6):
6 f(6) = 16 + 72
6 f(6) = 88
Finally, we solve for f(6) by dividing both sides by 6:
f(6) = 88 / 6
f(6) = 44/3
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A container releases fuel at a rate of 5 gallons per second. If y represents the amount of fuel remaining in the container and x represents the number of seconds that have passed since the fuel started dispensing, then x and y satisfy a linear relationship. If the tank begins with 103 gallons, how many gallons will remain after 2 seconds?
By evaluating a linear equation, we will see that after two seconds there are 93 gallons of fuel.
How many gallons will remain after two seconds?We know that the tank initially has 103 galons of fuel, and we know that it releases 5 gallons per second at a constant rate.
So, after x seconds, the amount of fuel inside the container is:
F(x) = 103 - x*5
so we have a linear equation.
The amount of fuel in the tank after 2 seconds is given by:
F(2)= 103 - 2*5 = 103 - 10 = 93
After 2 seconds there are 93 gallons of fuel.
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PLSSS HELP 20 POINTS!!!!!!
Answer:
1/4xy(x^2+3y)
Step-by-step explanation:
oh ok last one was missing that y thx for reposting
Which statement is FALSE?
A) An expression can be evaluated.
B) An expression can contain like terms.
C) An expression sometimes contains an equal sign.
D) An expression can contain numbers and variables.
Answer:
C. because it does not contain a equal sign. please matk me as the brainliest. Please...
The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 5 years.
Complete question is in comment section :
Answer:
68%
Step-by-step explanation:
Mean = 25
Standard deviation = 5
The percentage of trees between 20 and 30
20 trees = 1 standard deviation below the mean ; mean - 1(standard deviation)
25 - 5 = 20
30 trees = 1 standard deviation above the mean ;
Mean + 1(standard deviation) ;
25 + 5 = 30
This means, 20 and 30 lies ±1 standard deviation from the mean which according to the empirical rule is 68%
According to the empirical rule :
PLEASE HELP ME ASAP :(
1. Write the equation in slope intercept form. 4x-3y=12
2. Identify the slope and y-intercept.
3. Graph the line
4. Identify if it is a positive or negative slope.
Can you please help me ASAP ? And explain the steps
Step-by-step explanation:
y=4/3x+4
y int =4
x int = -1
the graph is an increasing graph line that touch 4 in y and -1 in x
m=4/3
Can Sb help?????? I’ll give you 20 points
Answer:
16
Step-by-step explanation:
18-16÷8
18-2
16
order of operation
power division thn subtraction
Answer:
4
Step-by-step explanation:
you have to solve the power first
18-(4*4)/8
18-16/8
2/8
4
This is the Challenge:
There is a race consisting of 10 individual races in a row. You are able to bet on the racecars for a chance to multiply your money. The potential payout and chances of winning per racer are listed below.
Blue
- 30% Chance of winning
- 2x Payout on winning bids
Red
- 25% Chance of winning
- 2.5x Payout on winning bids
Purple
- 18% Chance of winning
- 3x Payout on winning bids
Yellow
- 10% Chance of winning
- 5x Payout on winning bids
Black
- 8% Chance of winning
- 7x Payout on winning bids
Green
- 5% Chance of winning
- 10x Payout on winning bids
Orange
- 3% Chance of winning
- 15x Payout on winning bids
Pink
- 1% Chance of winning
- 50x Payout on winning bids
At the end of the race, bets placed on the top 3 winning racecars will be paid back to the player depending on the sheep's placement
1st Place: 100% Bet Payout
2nd Place: 40% Bet Payout
3rd Place: 10% Bet Payout
All other bets placed on non top 3 place racecar will be lost
You can safely assume that if one is likely to win but doesn't win then they are statistically most likely to come second and so on
During the 10 rounds, what is the most efficient bets to increase your money?
Calculating the expected value of payout using the probabilities given, we can bet on blue for all 10 races, bet on red for all 10 races and bet on purple for all 10 races
What is the most efficient bets to increase the return?To determine the most efficient bets to increase your money during the 10 rounds, we need to consider the probability and potential payout for each racecar. We can start by calculating the expected value of each racecar's payout:
Blue: 0.3 x 2 = 0.6
Red: 0.25 x 2.5 = 0.625
Purple: 0.18 x 3 = 0.54
Yellow: 0.1 x 5 = 0.5
Black: 0.08 x 7 = 0.56
Green: 0.05 x 10 = 0.5
Orange: 0.03 x 15 = 0.45
Pink: 0.01 x 50 = 0.5
Based on the expected value of payout, the most efficient bets would be on the racecars with the highest expected value. However, we also need to consider the probability of each racecar winning or placing in the top 3.
To maximize our chances of winning, we should bet on the racecars with the highest probability of winning or placing in the top 3, even if their expected payout is not the highest.
Assuming that if one racecar is likely to win but doesn't win, they are statistically most likely to come second, and so on, we can rank the racecars in terms of their probability of winning or placing in the top 3:
1. Blue - 30% chance of winning
2. Red - 25% chance of winning
3. Purple - 18% chance of winning
4. Black - 8% chance of winning
5. Yellow - 10% chance of winning
6. Green - 5% chance of winning
7. Orange - 3% chance of winning
8. Pink - 1% chance of winning
Based on this ranking, the most efficient bets would be as follows:
1. Bet on Blue for all 10 races. The expected payout is not the highest, but the probability of winning is the highest at 30%.
2. Bet on Red for all 10 races. The probability of winning is the second-highest at 25%.
3. Bet on Purple for all 10 races. The probability of winning is the third-highest at 18%.
Betting on these three racecars will give you the highest chance of winning or placing in the top 3, and therefore, the most efficient bets to increase your money. However, keep in mind that gambling always carries risks, and there is no guarantee of winning.
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Answer the following: (10 points) a. Find the area to the right of z= -1 for the standard normal distribution. b. First year college graduates are known to have normally distributed annual salaries wi
The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.
a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.
From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:
Area to the right of z = -1 = 1 - 0.1587 = 0.8413
Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.
b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.
If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.
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Construct the polynomial function with the following properties: degree = 5,-2 is a zero of
multiplicity 2, another integer is a zero of multiplicity 3, y-intercept is 108, and the leading
coefficient is 1.
Answer:
po*n hub is the thing you should be watching
f(x) = 2x² + 8x Find f(-1)
Answer:
-6
Step-by-step explanation:
2(-1)^2 + 8*-1 = 2*1+8*-1=2-8=-6
Answer:
-6
Step-by-step explanation:
f(-1) for x
2x^2+8x
2(-1)^2+8(-1)
2-8
-6