The number of solutions in the function is 2 given that the discriminant is 25
Calculating the number of solutionsFrom the question, we have the following parameters that can be used in our computation:
Discriminant = 25
As a general rule, if the discriminant of a function is greater than 0, then the number of solutions is 2
Hence, the number of solutions is 2
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Complete question
A function has a discriminant of 25. How many solutions does it have?
- 0
- 1
- 2
- Infinite
Shawn earned $2.77 per day for three days as interest on his $1,000.00 investment. What percent interest did he earn in total?
Which is a commercial use for lactic acid fermentation?
brewing beer
baking bread
making wine
making cheese
Answer:
it's making cheese (:
Step-by-step explanation:
Answer:
D. Making Cheese
Step-by-step explanation:
It's right on edge 2020
The smallest non-zero real number by which √27 should be multiplied so as to get a rational number is:
\(a) \: \sqrt{3} \\ b) \: \frac{1}{ \sqrt{3} } \\ c) \sqrt{13} \\ d) \sqrt{27} \)
I doubt between a) and b).
Please solve this and give me the accurate answer. Step-by-step solution needed. Spam free answer required.
Thank you in advance.
Answer:
\(b)1/\sqrt{3}\)Step-by-step explanation:
Lets verify one-by-one:
a)
\(\sqrt{3} *\sqrt{27} =\sqrt{3*27} =\sqrt{81} = 9\)b)
\(1/\sqrt{3}*\sqrt{27} =\sqrt{1/3*27} =\sqrt{9} =3\)c)
\(\sqrt{13} *\sqrt{27} =\sqrt{13*27} =\sqrt{39*9} =3\sqrt{39}\)d)
\(\sqrt{27} *\sqrt{27} =(\sqrt{27})^2=27\)As we see in three cases we get rational number but the smallest one is 3, this indicates the answer is option b.
a teacher attempts to make a number cube unfair by drilling out the spots on one side and inserting lead weights. to determine if she was successful, she rolls the number cube 50 times and keeps track of the number of times she rolls a 1. she rolls a 1 15 times. she would like to know if the data provide convincing evidence that the proportion of rolls that will land on a 1 is greater than one-sixth. are the conditions for inference met? yes, the conditions for inference are met. no, the 10% condition is not met. no, the large counts condition is not met. no, the randomness condition is not met.
Yes, the conditions for inference are met. The teacher conducts 50 trials, which is large enough to meet the large counts condition (np ≥ 10 and n(1-p) ≥ 10).
The teacher's attempt to make the number cube unfair by inserting lead weights raises the question of whether the proportion of rolls that will land on a 1 has changed. To determine if she was successful, the teacher rolls the cube 50 times and keeps track of the number of times she rolls a 1. The data shows that she rolled a 1 15 times.
To determine if the data provides convincing evidence that the proportion of rolls that will land on a 1 is greater than one-sixth, we need to check if the conditions for inference are met.
The 10% condition requires that the sample size is less than 10% of the population size. Since we do not know the population size, we cannot determine if this condition is met.
The large counts condition requires that both the number of successes (15) and the number of failures (35) are greater than or equal to 10. This condition is met.
The randomness condition requires that the sample is random. Since the teacher rolled the cube, it is assumed that the rolls were random.
Therefore, the conditions for inference are met. We can use a hypothesis test to determine if the data provides convincing evidence that the proportion of rolls that will land on a 1 is greater than one-sixth.
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Eli's bedroom door is 9 feet tall and 3 feet wide. A new door is $4.00 per square foot. How much would a new bedroom door cost in total
Answer:$108
Step-by-step explanation:
Given
Bedroom door is \(9\ ft\) tall
width of the door is \(3\ ft\)
Rate \(R=\$4/ m^2\)
The area of the door is \(l\times w\)
\(\Rightarrow A=9\times 3=27\ m^2\)
Cost is given by
\(\Rightarrow C=27\times 4=\$108\)
Find the first four terms of the given sequence. Determine if it is monotonic a n
= n 2
2+n
The given sequence is given by an = n² / (2 + n).
To find the first four terms of the sequence, we substitute the first four positive integers into the formula for an:
a1 = 1² / (2 + 1) = 1/3
a2 = 2² / (2 + 2) = 2/2 = 1
a3 = 3² / (2 + 3) = 9/5
a4 = 4² / (2 + 4) = 8/6 = 4/3
To determine if the sequence is monotonic, we rewrite the formula as an = n² / (n + 2).
The sequence is monotonic because it is always increasing, i.e., a1 < a2 < a3 < a4 < ...
Thus, we have found the first four terms of the given sequence. We have also determined that it is a monotonic sequence.
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Consider the following series data.
Quarter Year 1 Year 2 Year 3
1 4 6 7
2 2 3 6
3 3 5 6
4 5 7 8
a) Show the four-quarter and centered moving average values for this time series.
b) Compute seasonal indexes and adjusted seasonal indexes for the four quarters.
The four-quarter moving average and centered moving average values for this time series-
Quarter | Average | Overall Average | Adjusted Seasonal Index
1 | 5.67 | 4.875 | 1.16
2 | 3.67 | 4.875 | 0.75
3 | 4.67 | 4.875 | 0.96
4 | 6.67 | 4.875 | 1.37
What is Quarter?
A quarter is a three-month period in a company's financial calendar that serves as the basis for regular financial reports and dividend payments.
a) To calculate the four-quarter moving average, we sum up the values for each quarter over the past four years and divide by 4.
Quarter | Year 1 | Year 2 | Year 3 | Moving Average
1 | 4 | 6 | 7 | -
2 | 2 | 3 | 6 | -
3 | 3 | 5 | 6 | -
4 | 5 | 7 | 8 | -
To calculate the centered moving average, we take the average of the values for each quarter and the neighboring quarters.
Quarter | Year 1 | Year 2 | Year 3 | Centered Moving Average
1 | 4 | 6 | 7 | -
2 | 2 | 3 | 6 | (4+2+3)/3 = 3
3 | 3 | 5 | 6 | (2+3+5)/3 = 3.33
4 | 5 | 7 | 8 | (3+5+7)/3 = 5
b) To compute the seasonal indexes, we need to find the average value for each quarter over the three years.
Quarter | Year 1 | Year 2 | Year 3 | Average
1 | 4 | 6 | 7 | 5.67
2 | 2 | 3 | 6 | 3.67
3 | 3 | 5 | 6 | 4.67
4 | 5 | 7 | 8 | 6.67
To compute the adjusted seasonal indexes, we divide the average value for each quarter by the overall average of all the data points.
Quarter | Average | Overall Average | Adjusted Seasonal Index
1 | 5.67 | 4.875 | 1.16
2 | 3.67 | 4.875 | 0.75
3 | 4.67 | 4.875 | 0.96
4 | 6.67 | 4.875 | 1.37
Therefore, the four-quarter moving average and centered moving average values for this time series are not available based on the given data. The computed seasonal indexes and adjusted seasonal indexes are as shown above.
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The graphs of f(x) = 10' and its translation, g(x), are
What is
shown.
O g(x
g(x)
у
460
fa)
go
O g(x)
O g(x)
120
100
(2. 100)
(5, 100)
80
60
40
20
(391) (4.10)
6
1 2 3
5
6
х
140
(1.10)
60
Answer:
The first option
Step-by-step explanation:
The equation of g(x) is g(x) = \(10^{3 - x\)
Option A is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and size.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
From the graph, we see that,
The coordinates in the line g(x) are (5, 100) and (4, 10).
Now,
g(x) = \(10^{x - 3\) ______(1)
Substituting (5, 100) and (4, 10) in (1)
We get,
g(5) = \(10^{5 - 3\) = 100
g(4) = \(10^{4 - 3\) = 10
This is true.
Thus,
The equation of g(x) is g(x) = \(10^{3 - x\)
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Jared ate1/4 of a loaf of bread. He cut the rest of the loaf
into1/8-loaf slices. How many slices of bread did he cut?
Answer:
He cut 6 slices
3/4 (leftover bread) equals to six eights (6/8)
Using the diagram, which of the following statements is true?
Using the diagram, which of the following statements is true?
-5 can be categorized as a whole number, integer, and rational number.
can be categorized as an integer and a rational number.
5.0 can only be categorized as a rational number.
can be categorized as a whole number, integer, and rational numb
The whole number(s) are 3 and -2. A whole number doesn't have fractions or places after the decimal.
How to explain the numberThe natural number(s) is 3. Think of a natural number as those used for counting, like "1, 2, 3, 4..."
The integer(s) are 3 and -2. An integer includes positive or negative whole numbers, and 0.
The rational number(s) are 3, -2, and 1/4. A rational number can be written as a fraction.
And irrational number, the square root of 5, cannot be written as a fraction. It is the opposite of a rational number.
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Using diagram whole numbers, natural numbers, integers, and rational or irrational numbers, which category does -2, 3, 1/4, and square root of 5
which is a whole number, natural number, integer, or rational or irrational number: -2, 3, 1/4, and square root of 5
a manager records the repair cost for 4 randomly selected stereos. a sample mean of $82.64 and standard deviation of $14.32 are subsequently computed. determine the 90% confidence interval for the mean repair cost for the stereos. assume the population is approximately normal.
76.62 to 88.66
A manager records the repair cost for 4 randomly selected stereos. A sample mean of $82.64 and standard deviation of $14.32 are subsequently computed.
The 90% confidence interval for the mean repair cost for the stereos is 76.62 to 88.66. The population is assumed to be approximately normal. The given data are: Sample mean, x¯= $82.64 Standard deviation, s = $14.32.
The sample size, n = 4. For a given confidence level, the interval within which the population mean lies is known as the confidence interval.
To find the 90% confidence interval for the mean repair cost for the stereos, we use the formula below: Lower limit= x¯ - z (σ / √n)Upper limit= x¯ + z (σ / √n)Here, z is the z-score associated with a 90% confidence level. We can get this value from the standard normal distribution table.
At a 90% confidence level, the z-score is 1.645. Lower limit= 82.64 - 1.645 (14.32 / √4)= $76.62. Upper limit= 82.64 + 1.645 (14.32 / √4)= $88.66.
Therefore, the 90% confidence interval for the mean repair cost for the stereos is 76.62 to 88.66.
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-4a +3 (2b-1) a=-2 b=4
Answer:
29
Step-by-step explanation:
8+3×(7)=8+21=29
it's so easy
Find the slope-intercept form of the line with the slope m= 1/7 which passes through the point (-1, 4).
Answer:
y = 1/7x + 29/7
Step-by-step explanation:
Slope intercept form is y = mx + b
m = the slope
b = y-intercept
m = 1/7
Y-intercept is located at (0, 29/7)
So, the equation is y = 1/7x + 29/7
select the correct statement. a.) the critical z-score for a right-tailed test at a 9% significance level is 1.34. b.) the critical z-score for a two-sided test at a 4% significance level is 1.75. c.) the critical z-score for a two-sided test at a 20% significance level is 0.85. d.) the critical z-score for a left-tailed test at a 12% significance level is -0.45.
A graphical tool used to help determine whether a process is in control or out of control is a a. control chart b. boxplot c. scatter diagram d. histogram
The graphics tool used to help determine whether a process is in control or out of control is a. control chart.
A graphical tool used to help determine whether a process is in control or out of control is a control chart. A control chart is a chart used to monitor the stability of a process over time and to distinguish between common cause and special cause variation. It displays data points in relation to upper and lower control limits, which are calculated using statistical methods.
The control chart provides a visual representation of the process and enables users to identify trends, shifts, or other patterns that may indicate that the process is out of control.
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Both questions//Congruence
Answer:
first one: 53°
Second one: reflective property of congruence <-(I'm not sure on this one but it seems like it)
Step-by-step explanation:
First one:
The measure of every triangle is 180°
we have to find that missing angle
so 180-53-74=53°
If its harder to understand you can make angle E x and solve 180=x+53+74
For the second one:
The reflexive property of congruence states that any geometric figure is congruent to itself.
This means that even same line segments and be congruent because of this property.
I hope this helped
What is the standard form of 0.00849
Answer:
8.49 × 10⁻³
Explanation:
Standard form of a number: A. × 10ᵇ
(where 'A' is the number, b is the exponent over 10)
For the number "0.00849", move the decimal point 3 places right so the exponent of 10 is -3.
Standard form: 8.49 × 10⁻³
Other examples of standard/scientific forms are: standard forms
i) 0.043, move the decimal point 2 places right = 4.3 × 10⁻²
ii) 4030, move the decimal point 3 places left = 4.03 × 10³
Answer:
when a number is given in that manner you have to take that decimal between two whole numbers.
and that is the main reason why I took that decimal from 0.0 to 8.49 and since it went towards the right my answer is going to be 8.49 *10 raised to negative 3.
Joe has 2/10 of a dollar. Ashley has 20/100 of a dollar. Billy has 3/100 of a dollar. Together, what fraction of a dollar do they have?
Answer:
they have 43/100 or 43% out of 100
Step-by-step explanation:
Because joe has 2/10| 2/10=20% or 2
Joe=20
Ashley also has the same thing as joe so 20.
Ashley=20
Billy has 3/100 that = 3 so what's 20+20+3=43 and there's your answer.
Have a great day:)
1. The exponential function modeled below represents the number of square
kilometers of land occupied by cane toads x years after this animal was first
introduced into Australia,
Area Occupied by Cane Toads
Time
Area
1,200
(y)
(km)
1,100
1,000
0
36,500
900
5
53,600
800
700
10
78,800
600
15
115,780
500
20 170,120
400
25
250,000
300
200
30 367,300
100
539,700
0 5 10 15 20 25 30 35
Time (y)
Based on the data, which measurement is closest to the number of square
kilometers of land that will be occupied by cane toads 40 years after this
Area (thousands of km)
35
< PREVIOUS
Answer:
600,000 km²
Step-by-step explanation:
Using the exponential regression calculator : the regression fit obtained for the data is :
36510 * (1.08^x)
After 40 years ;
x = 40
Hence,
y = 36510 * 1.08^40
y = 36510 * 21.72452
y = 793,162.27 km
Hence, y is closest to 800,000 km
After stepping into your room with unusual lighting Michaels pupil has a diameter of 6 millimeters.What is the pupils radius
what is tablespoon to ounces?
There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.
A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.
In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.
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If a 20-foot ladder (Hypotenuse) is positioned so that it makes a 70 degree angle with the ground, how far up the wall will the ladder reach? Round your answer to the nearest tenth.
The ladder will reach approximately 18.95 feet up the wall. To find how far up the wall the ladder will reach, we can use trigonometry.
The ladder forms a right triangle with the wall and the ground. The angle between the ladder and the ground is 70 degrees.
We know that the length of the ladder (hypotenuse) is 20 feet. We want to find the length of the side opposite to the angle (the height up the wall).
Using the trigonometric function sine (sin), we can write:
sin(angle) = opposite / hypotenuse
sin(70 degrees) = opposite / 20 feet
To find the length of the side opposite the angle, we can rearrange the formula:
opposite = sin(70 degrees) * 20 feet
opposite ≈ 18.95 feet (rounded to the nearest tenth)
Therefore, the ladder will reach approximately 18.95 feet up the wall.
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From a group of 8 women and 6 men, a committee consisting of 3 men and 3 womenis to be formed. How many different committees are possible if 2 of the men refuse toserve together? How many different committees are possible if 1 man and 1 womanrefuse to serve together?
Answer:
a) 896 ways
c) 910 ways
Step-by-step explanation:
The question is a combination problem since it has to do with selection. In combination, if r object is selected from a pool of n objects, this can be done in nCr ways.
nCr = n!/(n-r)!r!
If from a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed, we need to first calculate the total committee formed without any condition.
8C3 × 6C3
= 8!/5!3! × 6!/3!3!
= 8×7×6×5!/5!×6 × 6×5×4×3!/3!×6
= 56×20
= 1120ways
Now if;
a) two of the men refuse to serve together.
Since two men refuse to serve together, we will select 1 man from remaining 4 men since two has already been selected then select 3 from 8 women as shown.
4C1×8C3
= 4×56
= 224ways
Number of ways this can be done will be 1120-224 = 896ways
b) 1 man and 1 woman refuse to serve together
We need to choose 2 men from remaining 5 and 2 women from the rest of the men which is 7 as shown:
= (8-1)C(3-1) × (6-1)C(3-1)
= 7C2 × 5C2
= 7!/5!2! × 5!/3!2!
= 7×6×5!/5!×2 × 5×4×3!/3!×2
= 21×10
= 210ways
The number of ways this can be done will be 1120-210 = 910ways
a compound melts at 120°–122°c on one apparatus and at 128°–129°c on another. unfortunately, neither apparatus is calibrated. how might you check the identity of your sample without calibrating either apparatus?
It is always best to calibrate the apparatus or use a different method to confirm the identity of the sample.
One possible way to check the identity of the sample without calibrating either apparatus is to perform a melting point depression experiment using a known impurity. This method works on the principle that adding an impurity to a compound will lower its melting point.
To do this, we can mix a small amount of the suspected compound with a known impurity that has a melting point close to the melting point range of the suspected compound. We can then measure the melting point range of the mixture using both apparatus.
If the mixture melts at a lower temperature range than the suspected compound as measured by both apparatus, then it is likely that the suspected compound is the pure compound, since the impurity has caused a depression in the melting point range. On the other hand, if the mixture melts at a similar temperature range as the suspected compound as measured by both apparatus, then it is likely that the suspected compound is not pure.
It is important to note that this method is not foolproof and may not work well if the impurity has a significantly different melting point than the suspected compound or if the impurity is present in too low of a concentration to cause a significant depression in the melting point range. Therefore, it is always best to calibrate the apparatus or use a different method to confirm the identity of the sample.
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Two cars travel at the same speed to different destinations. Car A reaches its destination in 12 minutes. Car B reaches its destination in 18 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel? Write your answer as a fraction in simplest form.
Answer:
chatGPT
Step-by-step explanation:
Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:
d = v * (12/60) (since Car A reaches its destination in 12 minutes)
d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)
Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:
12v = 60d
18v = 60d + 240
Subtracting the first equation from the second, we get:
6v = 240
Therefore:
v = 240/6 = 40
So the cars travel at a speed of 40 miles per hour.
choose the equation that represents the solutions of 0=0.25x2 - 8x
Answer:
the answer is c. just finished the assignment on brainly
Step-by-step explanation:
Melinda is using construction paper to make cone-shaped table decorations. Each decoration will have
a slant height of 7.5 inches and a diameter of 5 inches. How much paper will she need to cover the
surface of 6 cone decorations?
Answer:
The correct answer on EDG-2020 is:
c) ≈471 in.2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
credit to the first guy
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 50 cm/s. Find the rate at which the area within the circle is increasing after each of the following.
(a) after 1 s
(b) after 3 s
(c) after 7 s
Answer:
1.) 15,708cm^2/s
2) 47,124cm^2/s
3.) 109,956cm^2/s
Step-by-step explanation:
Given the following:
50cm/s is the radius of the ripple per second , that is, radius(r) of ripple after t seconds = speed * time(t)
Speed = 50cm/s
r = 50t
.area of a circle(A) = πr^2
Rate of change of area with radius :
dA/dt = π2r . dr/dt
Speed of ripple created = 50cm/s; this is the rate at which the radius changes with time (dr/dt)
dr/dt = 50cm/s
Rate at which area is increasing with time:
dA/dt = π2r . dr/dt
dA/dt = π2(50t).50
dA/dt = 5000πt
After 1 second:
dA/dt = 5000π(1)
= 15,707.963cm^2/s
After 3 second:
dA/dt = 5000π(3)
= 47,123.889cm^2/s
After 7 second:
dA/dt = 5000π(7)
= 109,955.74cm^2/s
Slauson only move about 5 ft./min.. How many minutes would it take a slow to walk across 100 yard foot field
Time taken to walk across 100 yard field is 60 minutes.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Speed of Slauson = 5 ft./min
That is, in 1 minute, Slauson can walk 5 feet.
We have to find the time taken to walk 100 yard.
1 yard = 3 feet
100 yard = 300 feet
Speed = Distance / Time
Time = Distance / Speed
Time = 300 / 5 = 60 minutes
Hence it will take 60 minutes to walk across a 100 yard field.
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The rectangle below has an area of 6n^4+20n^3+14n^26n 4 +20n 3 +14n 2 6, n, start superscript, 4, end superscript, plus, 20, n, cubed, plus, 14, n, squared. The width of the rectangle is equal to the greatest common monomial factor of 6n^4, 20n^3,6n 4 ,20n 3 ,6, n, start superscript, 4, end superscript, comma, 20, n, cubed, comma and 14n^214n 2 14, n, squared. What is the length and width of the rectangle?
Given:
Area of rectangle = \(6n^4+20n^3+14n^2\)
Width of the rectangle is equal to the greatest common monomial factor of \(6n^4, 20n^3,14n^2\).
To find:
Length and width of the rectangle.
Solution:
Width of the rectangle is equal to the greatest common monomial factor of \(6n^4, 20n^3,14n^2\) is
\(6n^4=2\times 3\times n\times n\times n\times n\)
\(20n^3=2\times 2\times 5\times n\times n\times n\)
\(14n^2=2\times 7\times n\times n\)
Now,
\(GCF(6n^4, 20n^3,14n^2)=2\times n\times n=2n^2\)
So, width of the rectangle is \(2n^2\).
Area of rectangle is
\(Area=6n^4+20n^3+14n^2\)
Taking out GCF, we get
\(Area=2n^2(3n^2+10n+7)\)
We know that, area of a rectangle is the product of its length and width.
Since, width of the rectangle is \(2n^2\), therefore length of the rectangle is \((3n^2+10n+7)\).