Answer: -6, -5, and -2.
Step-by-step explanation:
The 0 is why and those numbers above are the x’s that lie on y = 0.
Solve the system of equations
y=-8x-6
y=-3x-1
Answer:
2,1
Step-by-step explanation:
x=2 and y=1
What is the length of the longer leg of the right triangle shown below?
Type your answer as an integer.
A right triangle has hypotenuse of length 13 and a side with length 5.
\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{5}\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{13^2-5^2}=b\implies \sqrt{144}=b\implies 12=b\)
Consider the line y= 4-4x slope of a parallel line Slope of a perpendicular
Answer:
parallel : y = -4x + 4
perpendicular : y = 1/4x + 4
Step-by-step explanation:
y= 4-4x is
y = -4x + 4 (rewritten)
parallel line will have the same slope
so
y = -4x + 4
perpendicular is a negative reciprocal
so
-4x become 1/4x
so
y = 1/4x + 4
We deposit $12000 into an account carning 3 % interest compounded continuously, How many years will it take
for the account to grow to $16800? Round to 2 decimal places,
Answer:
The answer is 13.33 year
Step-by-step explanation:
P = $12000
Rate = 3%
Amount = $16800
so,
I = A-P
= $16800 - $12000
= $4800
So,
T = (I × 100)/P×R
= (4800×100)/P×R
= 480000/($12000×3)
= 480000/36000
= 480/36
= 13.33 year
The sum of twice a number and two divisible by 5, equals 30 write the equation
Answer:
2x + 2 = 150
Step-by-step explanation:
Let the number be y.
From the question given above,
Twice the number can be written as follow:
2y
Also,
The sum of twice the number and two divisible by 5 equals 30.
This can be written as follow:
(2y + 2) ÷ 5 = 30
Finally, we shall express the above equation in a more simplified form as follow:
(2y + 2) ÷ 5 = 30
(2y + 2) × 1/5 = 30
Cross multiply
2x + 2 = 5 × 30
2x + 2 = 150
Therefore, the simplified equation for the above question is 2x + 2 = 150
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below.
a. What is the number of degrees of freedom that should be used for finding the critical value t a/2?
df=
(Type a whole number.)
Part 2
b. Find the critical value t a/2 corresponding to a 95% confidence level.
t a/2=
(Round to two decimal places as needed.)
Part 3
c. Give a brief general description of the number of degrees of freedom.
A. The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values.
B. The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values.
C. The number of degrees of freedom for a collection of sample data is the total number of sample values.
D. The number of degrees of freedom for a collection of sample data is the number of sample values that can vary after certain restrictions have been imposed on all data values.
The solution to the Question is given as
df= 49t critical value = 2.01The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values.What is the number of degrees of freedom that should be used for finding the critical value t a/2?a)
Generally, the equation for degrees of freedom is mathematically given as
df= n-1
Therefore
df= 50-1
df= 49
b)
For the critical value
Confidence interval= 95%
df= 49
Solving using a critical value calculator we have
t critical value = 2.01
c)
In conclusion, The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values. Option D is correct
Read more about degrees of freedom
https://brainly.com/question/16254305
#SPJ1
Select the equivalent fraction for the fraction represented on the given number line.
1/2
2/6
2/3
3/6
2/6 is the equivalent fraction for the fraction represented on the given number line. So, B is the correct option
What is an equivalent fraction ?
According to equivalent fractions, two or more fractions are considered to be equal if, following simplification, both provide the same fraction. Let's imagine that a/b and c/d are two fractions. If these fractions are simplified to produce comparable fractions, such as e/f, they are then equal to one another.
For instance, if we simplify 5/15, the resulting fraction is the same as 1/3, hence that is the equivalent fraction of 1/3.
The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions. For instance, since 2/4 and 3/6 both equal the 12, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.
as 2/6 can further reduced to 1/3 which is represented on to the number line as 1/3 which is equal to 2/6
Learn more about equivalent fraction from the link below
https://brainly.com/question/29769027
#SPJ1
Is It Reasonable?
Your friend says the
quotient of 3,627 and 9 is 43. Is your
Friend's answer reasonable?
Answer: No, the answer is not reasonable because 3,627/9 doesn’t equal 43, it equals 387.
Answer:
No, you friend's answer is not reasonable.
Step-by-step explanation:
3,627 x 9 does not equal 43
3,627 x 9 =32643
Therefore your friend is incorrect
Find the next number in the sequence: 2, 2, 5, 12, 62, 749, 46450,
Answer:
34791112
Step-by-step explanation:
Please check the attached for the explanation.
The next number for given sequence is 34791112.
The given sequence is 2,2,5,12,62,749,46450,......
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same.
Each number in the sequence is of the form Number3 × Number2 + Number1 = Number4
5×2+2=12
12×5+2=62
62×12+5=749
749×62+12=46450
So, the required number is
46450×749+62=34791112
Therefore, the next number for given sequence is 34791112.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/10396151.
#SPJ2
solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
for such more question on equations
https://brainly.com/question/17482667
#SPJ8
Gary can paint a garage in 8 hours. Gary van do it in 6 hours. How long will it take if they all paint together?
According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level. If 100 such adults are selected at random, determine the probability that the number who have ahigh school degree as their highest educational level is a. Exactly 32
Answer:
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.
This means that \(p = 0.304\)
100 such adults
This means that \(n = 100\)
Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32
This is P(X = 32).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803\)
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
HELPPPP
In triangle DEF, m∠D = (3x + 27)°, m∠E = (4x + 22)°, and m∠F = 68°. Determine the degree measure of the exterior angle to ∠D.
54°
58°
122°
126°
The measure of the angle that we have here would be 54°
What is the measure of the angles in a triangleThe sum of angle that is in a triangle is given as 180
we have m∠D = (3x + 27)° + m∠E = (4x + 22)° + m∠F = 68° = 180
such that we would have
3x + 27 + 4x + 22 + 68 = 180
= 3x + 4x + 27 +22 + 68 = 180
7x + 117 =180
7x = 63
x = 9
For the angle D we would have
m∠D = (3x + 27)°
= 3 * 9 + 27
= 27 + 27
= 54 degrees
Read more on the measures of angles here:
https://brainly.com/question/23274749?referrer=searchResults
#SPJ1
Answer:
54
Step-by-step explanation:
It is defined as two dimensional figure which sides are equal in length and angles are equal
A shape that has all equal sides and equal angles is the square.
Answer: square
A company that sells paper has a tiered pricing model based on how much paper you buy. If you buy less than 10 reams, they charge you $7 per ream and a shipping cost of $8. If you buy 10 or more reams but less than 20 reams, they charge you $6 per ream and a shipping cost of $16. If you buy 20 or more reams, they charge you $6 per ream and shipping is free.
a. Write a function that models the price in terms of the number of reams bought.
b. What is the domain of the function?
c. What is the range of the function?
d. How much will it cost to buy 25 reams of paper?
f. How much paper can you buy for $60?
The function can be defined as price = 6x
It will cost $150 to buy 25 reams of paper.
How to explain the functionThe domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.
The range of the function is all non-negative real numbers, since the price cannot be negative.
Fir 25 items, price = 6(25) = $150
It will cost $150 to buy 25 reams of paper.
Learn more about functions on
https://brainly.com/question/11624077
#SPJ1
The principal at Orchard Ridge High School signs each graduate's diploma by hand. It takes him 30 seconds to sign 4 diplomas. What do I put in the table
The complete values of the table for time taken to sign the diploma are: Seconds | 30 | 90 | 150 | 210; Diplomas | 4 | 12 | 20 | 28.
What is proportion?Two ratios are said to be equal when a proportion is stated. Ratios, which can be written as a fraction or a colon, are used to compare two objects or values. For instance, a class might have a boy to girl ratio of 2:3 or 2/3. A percentage is an equation proving the equality of two ratios. The formula is a/b = c/d, where a, b, c, and d are all numerical values or variables. Numerous branches of mathematics, science, and daily life, including banking, engineering, and cookery, require proportions.
Given that, it takes the principal 30 seconds to sign 4 diplomas.
Setting the proportion we have:
30 seconds / 4 diplomas = x seconds / y diplomas
x = 7.5y
Substituting the values of x and y from the table we have:
For y = 12
x = 7.5(2) = 90
Similarly, for y = 20:
x = 7.5(20) = 150
For x = 210:
210 = 7.5y
y = 28
The complete values of the table for time taken to sign the diploma are: Seconds | 30 | 90 | 150 | 210; Diplomas | 4 | 12 | 20 | 28.
Learn more about proportion here:
https://brainly.com/question/29774220
#SPJ1
The complete question is:
what is the answer of 42 x 598 estimate
HELP WITH THIS QUESTION PLEASE
9514 1404 393
Answer:
about 2.1
Step-by-step explanation:
The slope of the secant line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (121/100 -1)/(11/10 -1) = (21/100)/(1/10) = 2.1
The slope of the tangent is about 2.1.
_____
Additional comment
We can refine our estimate by choosing a secant line between the points (9/10, 81/100) and (11/10, 121/100). That is, points either side of x=1.
That slope is ...
(121/100 -81/100)/(11/10 -9/10) = (40/100)/(2/10) = 2.0
We expect the slope of the tangent at x=1 to be exactly 2.0.
What is the solution set for the inequality 3(5- x)<5x-17
Answer:
The answer is : x>4
Step-by-step explanation:
3(5-x)<5x-17
15-3x<5x-17
-3x-5x<-17-15
-(3x+5x)<-(17+15)
3x+5x>17+15
8x>32
x>\(\frac{32}{8}\)
x>4
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
for such more question on values
https://brainly.com/question/11546044
#SPJ8
in a for loop, is it possible to use indexing?
Answer:
Yes
Step-by-step explanation:
A for loop basically relies on repeating the same code for a pre-set number of times. During which you can make any code repeat inside of it, including indexing through a type of list. Many times a for-loop will use the indexes in a list to calculate the number of times that the loop has to repeat. This is usually done in order to search or apply changes in an array of other types of data structures that have countless values stored in it.
Which expression is equivalent to 3(x + 2) + 5(x - 3)
11. What is the unknown number in
Sequence 2 in the chart?
Sequence Number
Sequence 1
Sequence 2
A 126
B 127
c 147
D 154
2 3 5
7
14 21 35 49
?
1
7
21 42 63 105
The missing number in Sequence 2 is 780.
To find the missing number in Sequence 2, let's analyze the pattern:
In Sequence 1, the numbers increase by 1 each time: 126, 127, 128, 129, ...
In Sequence 2, the numbers seem to follow a pattern where each number is obtained by multiplying the corresponding number in Sequence 1 by a certain factor:
2 x 126 = 252
3 x 127 = 381
4 x 128 = 512
5 x 129 = 645
...
Looking at this pattern, we can see that the missing number in Sequence 2 should be:
6 x 130 = 780
For similar question on Sequence.
https://brainly.com/question/7882626
#SPJ8
A polling company reported that 5353% of 10181018 surveyed adults said that rising gas prices arerising gas prices are "quite annoying.""quite annoying." Complete parts (a) through (d) below. a. What is the exact value that is 5353% of 10181018?
Answer: 540
Step-by-step explanation:
Given: A polling company reported that 53% of 1018 surveyed adults said that rising gas prices are "quite annoying."
To find: The exact value of 53% of 1018.
\(53\%\text{ of }1018 = \dfrac{53}{100}\times1018\) [we divide a percentage by 100 to convert it into a fraction of decimal]
\(=\dfrac{53954}{100}=539.54\\\\\approx540\)
Hence, the 540 adults said that rising gas prices are "quite annoying."
Thus, the exact value = 540
Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
For such more question on metric units
https://brainly.com/question/30951620
#SPJ8
Which of the following illustrates theassociative property of addition?(abc + d) + (XYZ) =a. (d + abc) + (XYZ) b. (XYZ) + (abc + d)c. (cab+d) + (XYZ) d. (abc + d) + (YXZ)e. (abc) + (d + XYZ)
Given:
\((abc+d)+(\text{XYZ)}\)Recall the associative property of addition.
\((a+b)+c=a+(b+c)\)The given can be written as follows by using the associative property of addition.
\((abc+d)+(\text{XYZ)}=\text{abc}+(d+\text{XYZ)}\)Hence the answer is
\((\text{abc)}+(d+\text{XYZ)}\)What is the solution (q, r) to this system of linear equations?
12q + 3r = 15
–4q – 4r = –44
(–18, 29)
(–2, 13)
(8, –1)
(15, –44)
Answer:
Step-by-step explanation:
12q + 3r = 15
-12q - 12r = -132
-9r = -117
r = 13
12q + 3(13) = 15
12q + 39 = 15
12q = -24
q = -2
(-2, 13)
b is the answer
Answer:
(-2,13)
Step-by-step explanation:
i took the test and can confirm its 100% on edge
A seasonal index for a monthly series is about to be calculated on the basis of three years’ accumulation of data. The three previous July values were 110, 150, and 130. The average over all months is 190. The approximate seasonal index for July is:
Answer:
0.684
Step-by-step explanation:
According to the scenario, computation of the given data are as follows
Seasonal index = Average value for July ÷ Average over all months
Where, Average value for July = ( 110 + 150 + 130 ) ÷ 3
= 390 ÷ 3 = 130
And, average over all months = 190
So by putting the value in the formula, we get
Seasonal index = 130 ÷ 190
= 0.684211 or 0.684
Hence, approximate seasonal index for July is 0.684.
Find the length of diagonal AV in a three dimensional figure.
Although I'm going to answer this question, I have to point out that this problem is NOT stated clearly. The problem being we don't know if angle AMV is a right angle.
But I'm assuming it is and thus we need to use the Pythagorean theorem.
AV=\(\sqrt{5^2+12^2}\)
AV=13
Therefore answer is C. :D
math please help its easy
Answer:
Step-by-step explanation:
d=49 degrees
e=29 degrees
Since these share the same lines as the opposite side, they must have the same angle.
f=102 degrees
A line has a degree of 180 and if you were to subtract that from d and e you would get 102 degrees