4x2+5=8x in standard form
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
\(\alpha x^2+bx+c\)
The standard form is \(4x^2+8x+5\)
\(4x^2+8x+5\)
Therefore, the standard form is \(4x^2+8x+5\)
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Jenai's mother traveled 40 miles in 1hr, how many miles did she travel in 3 hours?
Answer:
120 miles per hour
Step-by-step explanation:
40 miles x 3 hours = 120 miles per hour
Part A Anna took a taxi home from the airport. The taxi fare was \$ 2.1$2.1 per mile, she gave the driver a tip of \$ 5$5, and Anna paid a total of \$ 49.10$49.10. Write an equation to determine the distance in miles \left(x\right)(x) between the airport and Anna's home. Answer: Part B Find the distance between the airport and Anna's home. Answer: miles.
Answer:
44.10 = 2.1x
x = 21 miles
Step-by-step explanation:
Cost per mile = $2.1
Driver tip = $5
Total amount paid = $49.10
Let
x = number of miles
Write an equation to determine the distance in miles \left(x\right)(x) between the airport and Anna's home.
Total cost of miles = Total amount paid - Driver tip
= $49.10 - $5
= $44.10
Equation to determine distance in miles
Total cost of miles = cost per mile * number of miles
44.10 = 2.1x
Find the distance between the airport and Anna's home
44.10 = 2.1x
Divide both sides by 2.1
44.10 / 2.1 = 2.1x / 2.1
21 = x
x = 21 miles
The sum of the digits of a two-digit number is seventeen. The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. What is the original number?
Therefore, the original number is 10x + y = 10(10) + 7 = 107.
Given that the sum of the digits is seventeen, we have the equation:
x + y = 17 (equation 1)
The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. The number with the digits reversed would be 10y + x.
According to the given information, we have the equation:
10y + x = 5x + 30 (equation 2)
To solve the system of equations, we can substitute equation 1 into equation 2:
10(17 - x) + x = 5x + 30
Expanding and simplifying:
170 - 10x + x = 5x + 30
170 - 30 = 5x + 10x - x
140 = 14x
x = 10
Substituting the value of x back into equation 1:
10 + y = 17
y = 7
Therefore, the original number is 10x + y = 10(10) + 7 = 107.
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thank you in advance, have a awesome day
Answer:
Looks like an obtuse scalene triangle
Step-by-step explanation:
The angle of the top vertex looks to be obtuse. It if was acute isosceles it would have 2 equal sides. If it was a right triangle it would have a right angle (which it doesn't). It was obtuse isosceles it would have equal sides. So it should be A: Obtuse Scalene Triangle
[3x - 4 × 5] bằng bao nhiêu
Answer:
-60
Step-by-step explanation:
how to tell if equations are parallel perpendicular or neither
To determine if equations are parallel, perpendicular, or neither, you need to examine the slopes of the lines represented by the equations.
The slope of a line is calculated using the formula m = (y2 - y1) / (x2 - x1). The slope-intercept equation y = mx + c can be used to identify the slope and y-intercept of a line, where m represents the slope, while c represents the y-intercept.
If two equations are parallel, they will have the same slope.
If two equations are perpendicular, then the product of the two slopes should equal -1. This also means that if one slope is m, the other must be -1/m. If the slope of one line is zero, the line is horizontal, and any line perpendicular to it has a slope of undefined.
The two lines are neither parallel nor perpendicular if their slopes are not the same or opposite reciprocals of each other.
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Please help me
Get the answer
what is the probability that the number who want new copies is more than two standard deviations away from the mean value?
The probability that the number of people wanting new copies is more than two standard deviations away from the mean is very low. For Steph Curry making exactly three of his next five free throws, the probability is approximately 0.25.
The probability that the number of people wanting new copies is more than two standard deviations away from the mean is very low. This is because the standard deviation measures the amount of variability or dispersion from the mean. The probability of any given value being more than two standard deviations away from the mean is very slim.For Steph Curry making exactly three of his next five free throws, the probability is approximately 0.25. This can be calculated using a binomial probability formula, which states that the probability of a certain outcome (in this case, making three free throws out of five attempts) is equal to the number of ways the event can occur (3) divided by the total number of possible outcomes (5). Therefore, the probability of Curry making exactly three of his next five free throws is 3/5 or 0.25.
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Write the linear system of equations
as a
single matrix equation.
x - 2y - 5z = -1
y + 2x + 2z = 7
Z + y + 4x = -1
Answer: here ya go
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Find the indefinite integral and check the result by differentiation. (use c for the constant of integration.) x(5x2 5)9 dx
The indefinite integral of x(5x^2 - 5)^9 dx is:
(5x^2 - 5)^8 / 40 + c
We can find the indefinite integral using the following steps:
1. We can write the integral as (5x^2 - 5)^9 * x^1 dx.
2. We can use the power rule of integration, which states that the integral of x^n dx is x^(n + 1) / (n + 1) + c, where c is the constant of integration.
3. We can simplify the result and add the constant of integration.
The following is the step-by-step solution:
```
∫ x(5x^2 - 5)^9 dx = ∫ (5x^2 - 5)^9 * x^1 dx
= (5x^2 - 5)^9 / 9 + c
```
To check the result, we can differentiate the result and see if we get the original integral.
```
d/dx [(5x^2 - 5)^8 / 40 + c] = (5x^2 - 5)^8 * (10x) / 40 + 0 = x(5x^2 - 5)^8 = ∫ x(5x^2 - 5)^9 dx
```
As we can see, we get the original integral back. Therefore, the answer is correct.
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Dr. Chen saw 800 patients last year. This year, the number of patients he saw was 2% lower. How many patients did Dr. Chen see this year?
2% of 800 is 16 so you need to do 800-16 and that = 784
CAN YOU HELP ME FIND THE LENTHS OF THE TRANGLES PLSSS EXPLAIN HOW YOU DID IT Briefly PLS HELPP!!!!
Answer:
if you start to answer questions correctly maybe people will help you
but i dont know the answer
which shows the list below in order from greatest to least. 3.4848, -3 19/20, √11, -3.58, 362%
HELP ASAP!!!!!
Find the equation of a line perpendicular to x + 2y = -16 that passes through the
point (3,8).
Simplify \(\frac{y}{x}\)×\(\sqrt{\frac{1}{2y}\)
The simplified expression of \(\frac{y}{x} * \sqrt{\frac{1}{2y}}\) is \(\sqrt{\frac{y}{2x}}\)
How to simplify the expressionfrom the question, we have the following parameters that can be used in our computation:
\(\frac{y}{x} * \sqrt{\frac{1}{2y}}\)
Express y/x as squares
So, we have
\(\sqrt{(\frac{y}{x})^2 *\frac{1}{2y}}\)
Next, we have
\(\sqrt{\frac{y}{2x}}\)
Hence, the simplified expression is \(\sqrt{\frac{y}{2x}}\)
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suppose that a motorboat is moving at 40ft/s when its motor suddenly quits, and that 10 s later the boat has slowed to 20 ft/s. assume that the resistance it encounters while coasting is proportional to its velocity, so that dv/dtkv. how far will the boat coast in all?
The boat will coast a total distance of approximately 40/ln(0.5)/(-10) ft.
To solve this problem, we can use the concept of exponential decay. If we let v(t) be the velocity of the boat as a function of time t, then we can write the differential equation that describes its motion as:
dv/dt = -kv(t)
where k is the proportionality constant between resistance and velocity. We can separate variables and integrate both sides to get the velocity as a function of time:
∫(dv/dt) = -k∫(v(t))dt
v(t) = Ce^(-kt)
where C is an arbitrary constant of integration. We can use the initial condition v(0) = 40 ft/s to find C:
C = 40
So the velocity of the boat as a function of time is:
v(t) = 40e^(-kt)
We can use the condition v(10) = 20 ft/s to solve for k:
20 = 40e^(-10k)
Taking the natural logarithm of both sides:
ln(0.5) = -10k
k = ln(0.5)/(-10)
Next, we can use the velocity as a function of time to find the distance traveled by the boat:
∫(v(t))dt = ∫(40e^(-kt))dt = 40/k * (1 - e^(-kt))
Let's call the total distance traveled by the boat "D". Then we can write:
D = 40/k * (1 - e^(-kt))
We can plug in the value of k we found earlier and evaluate the expression at t = ∞:
D = 40/ln(0.5)/(-10) * (1 - e^(-∞)) = 40/ln(0.5)/(-10)
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For the past 10 periods, MAD was 25 units while total demand was 1,000 units. What was mean absolute percent error (MAPE)?
Multiple choice question.
10%
25%
50%
75%
The mean absolute percent error (MAPE) is 25%.
The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.
To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:
MAPE = (MAD / Total Demand) * 100
= (25 / 1,000) * 100
= 2.5%
Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.
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At a hockey game, a vender sold a combined total of 232 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
The vendor sold 172 sodas and 58 hotdogs at the hockey game.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
let, the number of soda cans be 'x' and the number of hot dogs be 'y'.
So, From the given information x = 3y and the vendor sold a total of 232.
Therefore, x + y = 232.
3y + y = 232.
4y = 232.
y = 232/4.
y = 58.
So, He sold 58 hot dogs and 3×58 = 172 soda cans.
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you are running in a 26 mile race.
you have run 17miles so far.
what is the ratio of the number of miles you have left to the total number of miles in the race
The ratio is given as 9 / 26
How to find the ratioTotal number of miles in the race: 26 miles
Number of miles you've run so far: 17 miles
Miles left to run = Total miles in the race - Miles you've run so far
Miles left to run = 26 miles - 17 miles
Miles left to run = 9 miles
Now, to find the ratio of the number of miles you have left to the total number of miles in the race:
Ratio = Miles left to run : Total miles in the race
Ratio = 9 miles : 26 miles
So the ratio is 9:26.
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The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of OC at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. Find Q3, the third quartile.
A) 0.53
B) 0.67
C) -1.3
D) 0.82
Using the normal distribution, it is found that the third quartile is of Q3 = 0.67, hence option B is correct.
In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 0ºC, hence \(\mu = 0\).The standard deviation is of 1ºC, hence \(\sigma = 1\).The third quartile is X when Z has a p-value of 0.75, as \(100\frac{3}{4} = 75\), hence X when Z = 0.67.
\(Z = \frac{X - \mu}{\sigma}\)
\(0.67 = \frac{X - 0}{1}\)
\(X = 0.67\)
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Eduardo rides his bike for 5 miles. Claudia runs of the distance Eduardo
bikes.
How many miles does Claudia run?
Answer:
5 miles
Step-by-step explanation:
A country's population in 1990 was 154 million.
In 2001 it was 159 million. Estimate
the population in 2005 using the exponential
growth formula. Round your answer to the
nearest million.
P= Aekt
Using the exponential growth formula, the population in 2005 was 161 million.
The equation f(x) = a(1 + r)^x can also be used to compute exponential growth, where: The function is represented by the word f(x). The initial value of your data is represented by the a variable. The growth rate is represented by the r variable. To calculate growth rates, divide the difference between the starting and ending values for the period under study by the starting value.
Growth factor = (159/154) for the eleven-year period between 1990 and 2001.
The population growth might thus be described by the exponential equation
p(t) = 154(159/154)^(t/11), where t is the number of years since 1990.
The model forecasts a population of... p(15) = 154(159/154)^(15/11)
= 160.86 = 161 million
In 2005, there were about 161 million people living there.
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Correct Question:
A country's population in 1990 was 154 million. In 2001 it was 159 million. Estimate the population in 2005 using the exponential growth formula. Round your answer to the nearest million.
freddy
a drew plan for a rectangular piece of material that will use for a blanket. Three of the vertices are (,), (,), and (,). What are the coordinates of the fourth vertex?
The fourth vertex's coordinates are as follows: ( 2.1, -3.6)
What are coordinates?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.
So, let the missing coordinates be (a,b).
Let's now utilize the midpoint formula to locate the erroneous coordinate.
Let the reference point be (-2.3, 3.6) A.
Let point B be (2.3, 2.2).
(2.1, 2.2) Let C be the point.
The center of AC should be at BD.
Step 1: Locating the AC's midpoint
Middle pint of AC:
(-2.3 + 2.1/2), (-3.6 + 2.2/2)
(0.2/2), (1.4/2)
(-0.1, -0.7)
Let's equate the midpoints in step two.
The BD mid-point:
(a + -2.3/2), (b + 2.2/2) = (-0.1, -0.7)
(a + -2.3/2) = -0.1
(a -2.3/2) = -0.1*2
a = -0.2+2.3
a = 2.1
(b + 2.2/2) = -0.7
b + 2.2 = -0.7*2
b + 2.2 = -1.4
b = -1.4 -2.2
b = -3.6
Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)
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Complete question:
Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ( -2.3 and −3.6), (−2.3, and 2.2), and (2.1, and 2.2). What are the coordinates of the fourth vertex?
An ice cube has lengths 25mm.
It has a mass of 2.325g.
Work out the density in g/cm³.
Two families have been out on dinner.at the end of the night they pay their 100 pound bill they use a 50 percent of coupon which halves their bill then they split their remaining amount equally between the two families
The amount that one family paid is 25 pound
Here two families had dinner and bill was 100 pound
They used the coupon on which they got 50% off
To find the percentage we have to use percentage formula:
\(=\frac{Value}{Total \ Value} *100\)
\(=\frac{50}{100} *100\)
\(= 50 \ Pounds\)
The remaining bill was 50 pound
Now this amount is divided between the 2 families
\(=\frac{50}{2}\)
\(= 25 \ pound\)
So one family has to pay 25 pounds
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the davit shown below is used to suspend a lifeboat. if the boat weighs 800 lbs, determine the force acting on the strut bc and the horizontal and vertical force components acting on pin a.
Force on strut BC: 800 lbs
Force components on pin A: Horizontal: 0 lbs, Vertical: 800 lbs.
In the given scenario, the weight of the lifeboat is the force acting on strut BC. Since the lifeboat weighs 800 lbs, the force acting on strut BC is also 800 lbs.
For pin A, the davit is in equilibrium, meaning that the sum of the forces acting on it must be zero in both the horizontal and vertical directions. Since the horizontal component of the weight of the lifeboat is perpendicular to pin A, the horizontal force component acting on pin A is zero.
The vertical force component acting on pin A is equal to the weight of the lifeboat, which is 800 lbs. This is because the vertical force component of the weight is acting in the opposite direction to counterbalance the weight.
Therefore, the force acting on strut BC is 800 lbs, the horizontal force component acting on pin A is zero, and the vertical force component acting on pin A is 800 lbs.
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Someone help!!!!!! Look at the picture below
Answer:
9
Step-by-step explanation:
i can not really tell what letters are on the picture but i think it is 9
A car dealer paid $21,000 for a car and marked it up by 1/3 of the price he paid.How much did he sell the car for?
Answer:
$28000Step-by-step explanation:
Cost of the car = $21000
Mark up = 1/3*21000 = $7000
Sale price = 21000 + 7000 = $28000
Triangle A'B'C' is formed by a reflection over x = -1 and dilation by a scale factor of 4 from the origin. Which equation shows the correct relationship between AABO
and AA"B"C"?
S
A"B" = 4BC
BC=4A"B"
AB 1
A"B"
=
00
\(\frac{AB}{A"B"} = \frac{1}{4}\) equation clearly illustrates how AABO and AA"B"C relate to one another.
What is equation ?An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.
The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.
Considering the data:
Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1
<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.
=> the connection between "ABC" and "A"B"C" .
\(\frac{AB}{A"B"} = \frac{1}{4}\)
We settle on C.
\(\frac{AB}{A"B"} = \frac{1}{4}\) equation clearly illustrates how AABO and AA"B"C relate to one another.
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