Answer:
0.33 or 1/3
Step-by-step explanation:
To find the answer you have to use rise over run:
\(Slope = \frac{rise}{run}\)
Rise = 4
Run = 12
Plug it into the equation:
\(Slope = \frac{4}{12} \\Slope = 0.33\)
The pitch of the roof is 0.33 or 1/3.
Hope this helps!!
- Kay :)
word form? 132 = 132
Answer:
one hundred thirty-two
Step-by-step explanation:
should be it if it is can i get brainliest?
3 Z The quadratic equation whose roots twice the roots of :2X2-8X+5=0
2. In a class of 45 students, 15 are in the Math Club and 10 are in the Art Club. If a student is selected at random, what is the probability that the selected student is:
a) in the Math club? _____
b) in the Art club? _____
Step-by-step explanation:
a) 15/45 = 1/3 (simplifed)
b) 10/45 = 2/9 (simplified)
Someone help with #29
a. The discontinuity in a function results in a vertical asymptote when the value of the function tends to infinity.
b. The discontinuity in a function results in a hole in a graph when the value at the discontinuity does not exist.
What is discontinuity of a function?The discontinuity of a function is the value of the function at which the value of the function is not continuous.
What is a vertical asymptote?A vertical asymptote is a vertical line such that the value of a function tends to it as its x value approaches a particular value.
a. When does a discontinuity result in a vertical asymptote?A discontinuity in a function results in a vertical asymptote when the value of the function tends to infinity as the x value of the function tends to the value of the vertical asymptote.
b. When does a discontinuity result in a hole in a graph?A discontinuity in a function results in a hole in a graph when the limit of the function as the x value of the function tends to the value at the discontinuity does not exist.
So,
the discontinuity in a function results in a vertical asymptote when the value of the function tends to infinity.the discontinuity in a function results in a hole in a graph when the value at the discontinuity does not exist.Learn more about discontinuity here:
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Estimate how many books costing $5.95 can be bought from $305
Answer:
51 books can be bought from $305
Step-by-step explanation:
let 1 book cost $6
books that can be bought from $305 = $305/$6 = 50.8 = 51 books
The side length of each square is 6 units. Find the areas of the inscribed shapes.
By using subtraction of yellow areas from the entire squares, the areas of the inscribed shapes are listed below:
18 units20 units12 units12 unitsHow to calculate the areas of the inscribed shapesThe areas of the inscribed shapes can be easily found by subtracting the yellow areas from the square, in order to find the value of green areas. Now we proceed to find the result for each case by using area formulae for triangles:
Case A
A = 6² - 0.5 · (3) · (6) - 0.5 · (3) · (6)
A = 36 - 18
A = 18 units
Case B
A = 6² - 4 · 0.5 · (2) · (4)
A = 36 - 16
A = 20 units
Case C
A = 6² - 0.5 · 6² - 0.5 · 6 · 2
A = 36 - 18 - 6
A = 12 units
Case D
A = 6² - 2 · 0.5 · 6 · 4
A = 36 - 24
A = 12 units
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9(-1x+1)-7(2x+5)
Im struggling with this one.
Answer:
-16+54x
Step-by-step explanation:
9(-1x+1)-7(2x+5)
-9x+9-7x+45
-9x-7x+9+45
-16x+54
The area, Acm², of a patch of mould is measured daily. The area, n days after the measurements started, is given by the formula A = Asub0b^n". When n = 2, A = 1.8 and when n = 3, A = 2.4. Find the value of b.
Answer:
b = (4/3), with rounding
Step-by-step explanation:
Area = A, in cm^2
n = days
A(n) = \(A_{0}\)\(b^{n}\)
------------------
Data:
n = 2, A = 1.8
A(n) = \(A_{0}\)\(b^{n}\)
1.8 = \(A_{0}\)\(b^{2}\)
n = 3, A = 2.4
2.4 = \(A_{0}\)\(b^{3}\)
Although we are not given the initial area, we can still make the calculation since we have two data points and each has the same initial area, \(A_{0}\). Lets take the first equation and multiply it by b, in order to bring the \(b^{2}\) to \(b^{3}\)
1.8 = \(A_{0}\)\(b^{2}\)
b(1.8 = \(A_{0}\)\(b^{2}\))
1.8b = \(A_{0}\)\(b^{3}\)
We can know from the second equation that 2.4 = \(A_{0}\)\(b^{3}\) . We can eliminate this term in the above relationship by substituting 2.4:
1.8b = \(A_{0}\)\(b^{3}\)
1.8b = 2.4
b = 1.3333
or (4/3)
Check:
Does the value of (4/3) for b work for both data points? To check this, we do need to assume an initial starting area. Lets assume the starting area, \(A_{0}\) = 1.
n = 2, A = 1.8, b = (4/3)
A(n) = \(A_{0}\)\(b^{n}\)
1.8 = 1*\((4/3)^{n}\)
1.8 = 1.78 Close enough?
n = 3, A = 2.4, b = (4/3)
2.4 = \(A_{0}\)\((4/3)^{n}\)
2.4 = 1*\((4/3)^{3}\)
2.4 = 2.37 Close enough?
A survey on a sample of 35 new cars b eing sold at a lo cal auto dealer was conducted to see which of three p opular options: Air-conditioning (A), Blueto oth (B), and Rear Camera (C), were already installed. The survey found: 18 had A, 13 had B, 12 had C,5 had A and B, 8 had A and C, 6 had B and C, 4 had all three options.
Find the numb er of cars that had:
(a) A and B but not C,
(b) A and C but not B,
(c) B and C but not A;
(d) only one of the options;
(e) at least one option;
(f ) exactly two options;
(g) none of the options.
According to most medical doctors, a person's normal body temperature should remain within 0.5 degrees Fahrenheit of 98.6ºF. Which equation below can be used to determine the lowest and the highest body temperature that would be considered normal?
A.) |t+98.6|=−0.5
B.) |t+0.5|=98.6
C.) |t−0.5|=98.6
D.) |t−98.6|=0.5
Answer:
C.) |t−0.5|=98.6
Step-by-step explanation:
Since a person's normal body temperature should remain within 0.5 degrees Fahrenheit of 98.6ºF. The equation which can be used to determine the lowest and the highest body temperature that would be considered normal is;
|t−0.5|=98.6
Conversion of Degree Celsius to Fahrenheit.
0°C = 32°F
0.5°C = 32.9°F
Let's assume we have a temperature of 100°F, 20°F, 200°F
Substituting these values into the equation, we have;
|100−32.9|=67.1°F
|20−32.9|= -12.9°F
|200−32.9|=167.1°F
This temperature (67.1°F) is within the normal range.
This temperature (-12.9°F) is below the normal range.
This temperature (167.1°F) is above the normal range.
If the figures on the graph are similar to each other, which statement is TRUE
Side Cd corresponds to EP
There is at least one similarity transformation that will map ABCD to EFGH
The corresponding sides of the figures are equal in length
ABCD=EFGH
Based on the information in the graph and the figures, we can infer that a true statement about these figures is: There is at least one similarity transformation that will map ABCD to EFGH.
How to identify the transformations that relate these two figures?According to the information in the graph, we can show that the figures ABCD and DEFG are similar in shape. In fact, we could say that ABCD is a smaller scale than DEFG, because their sides and angles are similar.
However, this figure has some transformations, in particular the most notorious transformation is the rotation that has been given to it in the form of a mirror due to the fact that its longest side is to the left and not to the right like the DEFG figure.
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A movie rental store, Frank's Movies, offers customers two choices. Customers can pay a yearly membership of $45 and then rent each movie for $2, or they can choose not to pay the membership fee and rent each movie for $3.50. How many movies would you have to rent before membership becomes the cheaper option?
Answer:
13
Step-by-step explanation:
$45=3.50x
divide both sides by 3.50
13 movies (rounded to nearest whole number)
Use △ABC to find the value of x and the angle measures.
The measure of angle A, B, C are 60°,60°,60°
What is sum of angle in a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.
The sum of angle in a polygon is 180°. i.e
A+B + C = 180°
therefore we can say that;
2x+2x + 3x-30 = 180
7x -30 = 180
7x = 180+30
7x = 210
divide both sides by 7
x = 210/7 = 30
therefore ;
angle A = 2× 30 = 60°
angle B = 2×30 = 60°
angle C = 3×30-30 = 90-30 = 60°
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What is the formula for the arc length of the sector of a circle?
If PQ subtends angle at the circle's center, then let PQ be an arc with radius r and a center at O. Thus, the arc length of PQ is given by PQ = /360° (2r), where is a degree.
What is angle?A figure that is created by two rays or lines that have the same endpoint is known as an angle in plane geometry. From the Latin word "angulus," which meaning "corner," comes the English term "angle." The vertex, which is the shared terminal of the two rays, is referred to as the side of an angle.Two lines intersect at a shared point to produce an angle. Degrees, denoted by the symbol °, are used to measure them. Acute, right, obtuse, and reflex angles are among the four crucial types of angles. 360° makes up a full circle. It has completed two full rotations if the angle is more than 720°.To learn more about angle, refer to:
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7.3.3: basic class definition. define the missing method. licensenum is created as: (100000 * customid) licenseyear, where customid is a method parameter. sample output with inputs 2014 777:
Program in java ,
public int createLicenseNum(int customID){
licenseNum = (100000 * customID) + licenseYear;
return (licenseNum); }
createLicenseNum method takes customID as its parameter. The formula function :
licenseNum = (100000 * customID) + licenseYear;
100000 is multiplied to the customID and the result is added to the licenseYear and is assignedlicenseNum.
When the CreateLicenseNum function is invoked it computes and returns the value of licenseNum as:
licenseNum = (100000 * customID) + licenseYear;
= (100000 * 777) + 2014
= 77700000 + 2014
licenseNum = 77702014
Output is:
Dog license: 77702014
Function call JAVA:
public class CallDogLicense {
public static void main(String[] args) {
DogLicense dog1 = new DogLicense();
dog1.setYear(2014);
dog1.createLicenseNum(777);
System.out.println("Dog license: " + dog1.getLicenseNum()); //calls getLicenseNum to get the computed licenceNum value
return; } }
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What is the hight of a cone with a radius of 4 inches and of volume of 8 cubic inches? Round your Answer to the tenths place.
Answer:
0.48
Step-by-step explanation:
You use the formula V=πr2 h/3
which functions have graphs that cross the x-axis at 0=pi/2?
A. y=sin0
B. y=cos0
C. y=tan0
D. y=sec0
E. y=csc0
F. y=cot0
Answer:
B. \(y=cos (\theta)\)
F. \(y=cot(\theta)\)
Step-by-step explanation:
If you look at the attached graph, it is simply a matter of checking each graph for the corresponding x-value, \(\frac{\pi}{2}\).
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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choose the statement that best explains the use of the sample standard deviation in tests of the mean where the population standard deviation is not known.
The correct answer is option A. The sample standard deviation can be used as an estimate of the population standard deviation is the statement that explains the use of the sample standard deviation in tests of the mean when the population standard deviation is not known.
By taking the square root of the variance, the sample standard deviation—a measurement of the data's propagation derived. A sample, which is a smaller portion of the population, is used to calculate it.
The sample standard deviation can be used as an estimate of the population standard deviation because the population standard deviation is typically unknown.
Following that, confidence intervals and other tests of the mean can be computed using this.
The sample standard deviation is another tool used to assess the data's variability because it shows how dispersed the data exists.
Complete Question:
Choose the statement that best explains the use of the sample standard deviation in tests of the mean when the population standard deviation is not known:
A. The sample standard deviation can be used as an estimate of the population standard deviation.
B. The sample standard deviation can be used to measure the spread of the data.
C. The sample standard deviation can be used to calculate the confidence interval.
D. The sample standard deviation can be used to measure the variability of the data.
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a wire of length 38 m is divided into two pieces and each piece is bent into a square. how should this be done in order to minimize the sum of the areas of the two squares? (give your answer in the form of a comma separated list of the lengths of the two pieces.)
The lengths of the two pieces of a wire will be 19,19.
Define square.A square is a closed, two-dimensional object with four equal sides and four vertices. On either side, it has parallel sides.
The square of a square's side determines its area.
Given data -
Length of a wire = 38 m
As the wire is divided into two pieces,
Let the length of two pieces of wire be x and y m respectively.
As per given data, x + y = 38
Therefore, y = 38 - x
As each piece is bent into a square, area of squares will be
\((x/4)^{2}\) and \((y/4)^{2}\)
Therefore, the sum of areas of two squares will be A = \((x/4)^{2}\) + \((y/4)^{2}\)
A = \(x^{2}\)/16 + \(y^{2}\)/16
A = \(x^{2}\)/16 + \((38-x)^{2}\)/16
By differentiating, we will get
A' = \(\frac{2x}{16}\) - \(\frac{2(38-x)}{16}\)
In order to minimize the the sum of the areas of the two squares, we will take A' = 0
0 = x - (38 - x)
2x = 38
x = 19
Therefore y = 19
The length of two pieces of a wire should be 19 m each.
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an arithmetic sequence with first term $1$ has a common difference of $6$. a second sequence begins with $4$ and has a common difference of $7$. in the range of $1$ to $100$, what is the largest number common to both sequences?
The largest number common to both sequences is 67.
The arithmetic sequence with first term 1 has a common difference of 6 is given by:-
1,7,13,19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79, 85, 91, and 97
The arithmetic sequence with first term 4 has a common difference of 7 is given by:-
4,11, 18, 25, 32, 39, 46, 53, 60, 67, 74, 81, 88, and 95.
I have written the sequence until 100 only.
Hence, the numbers common to both the arithmetic sequences are :-
25 and 67
Hence, the largest number common to both sequences is 67.
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Duane bought 3.8 pounds of bananas for $.55 per pound.
How much did he spend in dollars?
Answer:
$2.09
Step-by-step explanation:
3.8 x .55 = 2.09
which points are solutions to the linear inequality y<0.5x+2 select three options. (-3,-2)(-2, 1)(-1, -2)(-1, 2)(1, -2)
The given inequality: y < 0.5x + 2
The coordinates of they satisfy the given inequality than they are the solutions of the inequality y < 0.5x + 2
Plot the given points on the given line, The points which are passes through the line is the solution of the given inequality:
The point (-1,2)
The points doenot pss through the line and lie in the shaded region
So, (-1,2) are not the solution of the given inequality:
Solution are :(-2, 1)
(1, -2)
Answer :
(-2, 1)
(1, -2)
someone help and explain
We can fill in the boxes to make each equation complete as follows:
1. x³x⁹ = x¹²
2. x⁷/x³ = x⁴
3. 1/x⁻⁵ = x⁵
4. (7b³c⁵)³ = 343b⁹c¹⁵
How to solve the exponentsTo solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.
1. x³x⁹ = x³ ⁺ ⁹ = x¹²
For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.
2. x⁷/x³ = x⁷ ⁻ ³ = x⁴
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Write the ratios for sin A and cos A. Not drawn to scale sinA= 24/10, cosA = 10/26 sinA= 24/26, cosA = 10/24
To find the values of trigonometric functions, we can use the acronym SOHCAHTOA, which stands for:
\(\begin{gathered} \sin\theta=\frac{opposite}{hypotenue} \\ \\ \cos\theta=\frac{adjacent}{hypotenuse} \\ \\ \tan\theta=\frac{opposite}{adjacent} \end{gathered}\)Because we are only looking for sin A and cos A, we'll use SOH and CAH. Remember that the positions are relative to angle A. So side BC would be the opposite and side AC would be the adjacent sides.
\(\begin{gathered} \sin A=\frac{24}{26}\text{ }or\text{ }\frac{12}{13} \\ \\ cosA=\frac{10}{26}\text{ }or\text{ }\frac{5}{13} \end{gathered}\)The answer is the third option, sin A = 24/26, cos A = 10/26.
A forecasting method has produced the following over the past five months. What is the mean absolute deviation?.
List of four quantitative forecasting methods.
Moving averages, exponential smoothing, trend projection, and linear regression are all in the list. (Forecasting strategies, medium)
The average distance between observations and their mean is indicated by the variability metric known as mean absolute deviation . It uses the data original units to facilitate interpretation. Greater values imply a bigger divergence from the mean. Lower values, on the other hand, are related to the data surrounding it clustering. The average absolute deviation and the mean deviation are other names for the mean absolute deviation.
The next three procedures are necessary to calculate the mean absolute deviation.
1.By adding up all the observations and dividing by the sample size,
you can determine the sample average.
2.Discover the total deviation from the mean of each data point. When
negative signals appear, ignore them and instead deduct the
observed values from the mean
3.Divided the total value of above step
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A cone has volume 12 cubic inches. Its radius is 2 inches. What is its height?
Answer:
h≈2.86
Step-by-step explanation:
suppose you have a normal distribution with mean 11. if you are given a data value of 9, would you expect the corresponding z-score to be positive or negative?
According to the given information for the normal distribution, we can expect that the corresponding z-score may be negative.
It is given to us that -
The normal distribution has mean 11
The normal distribution has data value of 9
We have to find out if the corresponding z-score is to be positive or negative.
The z-score calculates the number of standard deviations higher or lower the mean, the data point is present.
The formula for z-score is given by -
\(z=\frac{data point - mean}{standard deviation}\)
Although we do not have the value of standard deviation in the question, we can see that the value of
data point - mean = 9-11 = -2
So, we can see that the numerator of the z-value formula is already negative.
Thus, we can expect that the corresponding z-score may be negative according to the information provided for the normal distribution.
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Jen, Heather, and Bob are auditioning for the same role. Jen auditions 10 minutes before four, Heather auditions 30 minutes before Jen, and Bob auditions 5 minutes before four. Order the three by who will audition first..
The required order for the three according to the turn of the audition is Heather, Jen, and bob.
Given that,
Jen, Heather, and Bob are auditioning for the same role. Jen auditions 10 minutes before four, Heather auditions 30 minutes before Jen, and Bob auditions 5 minutes before four. Order the three by who will audition first.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let's order the timeline,
Jen's audition was 10 minutes before the 4, so the time is 3:50
Heather's audition was 30 minutes before so the time would be 3:20
Bob's audition was 5 minutes before the 4 so the time would be 3:55
So from the above calculation. the order of the audition is Heather, Jen, and bob.
Thus, the required order for the three according to the turn of the audition is Heather, Jen, and bob.
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2 divided by 5 x 4 divided by 3 x 3 - 2 x 20
Answer:
-8
Step-by-step explanation: