What is the sum of zeros in this equation (m-10)(8m-1)=0? Ente4 your ancwer as a fraction. PLSSS I RLLYYY NEEDD HELPP
Answers
Answer:
10 \(\frac{1}{8}\) = \(\frac{81}{8}\)
Step-by-step explanation:
Given
(m - 10)(8m - 1) = 0
Equate each factor to zero and solve for m
m - 10 = 0 ⇒ m = 10
8m - 1 = 0 ⇒ 8m = 1 ⇒ m = \(\frac{1}{8}\)
Thus sum of roots = 10 + \(\frac{1}{8}\) = 10 \(\frac{1}{8}\) = \(\frac{81}{8}\)
Related Questions
Solve for x.
Зxy = W
Answers
Answer:
\(\huge\boxed{x=\frac{W}{3y}}\)
Step-by-step explanation:
If we have the equation \(3xy=W\) and we want to solve for x, our goal is to isolate x one one side of the equation.
The question we have to ask ourself is ”What’s stopping x from being isolated?”
That would be the 3 and the y.
Since we’re multiplying x by the 3 and the y, we can divide both sides by the 3 and the y to get x isolated.
\(3xy \div 3y = w \div 3y\)
\(x = \frac{W}{3y}\)
Hope this helped!
Consider the rectangle shown.
3x + 5
2x-1
If the perimeter of the rectangle is 52, what is the value of x?
Answers
Step-by-step explanation:
Perimeter of rectangle = 2(a+b) or 2a +2b
a=perimeter of the first side of the rectangle
b=perimeter of the second side of the rectangle
Perimeter = 2(3x+5 + 2x-1)=52
Open the bracket by multiplying the number outside by the number inside
=6x+10+4x-2=52
C.L.T ( Collect like terms), that means put the terms that have co-efficients together (those with variables "X") and those that don't have in the other side of the equation. While collecting like terms, if a number is taken to the other side, the sign changes
6x+4x=52-10+2
10x=44
D.B.S by 10, to make variable X subject
x=4.4
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The dimension of the rectangle is (3x + 5) and (2x - 1).
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be given as,
2[(3x + 5) + (2x - 1)] = 52
Simplify the equation, then we have
2[(3x + 5) + (2x - 1)] = 52
3x + 5 + 2x - 1 = 26
5x + 4 = 26
5x = 22
x = 22 / 5
x = 4.4
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.
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Matt wants to contrast girls and boys views about leadership. He selects a random sample of 100 students from Northeastern High School in Maine and administers a standardized leadership survey. Scores range from 5 to 20. Matt's research design could best be classified as a(n):
Answers
On solving the provided question, we can say that random samples range from 5 to 20. Matt's research design could best be classified as a(n): students at Northeastern High School
what is random sample?selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.
Scores range from 5 to 20. Matt's research design could best be classified as a(n): students at Northeastern High School
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As a part of a science experiment, a student
Answers
Answer:
It's incomplete
Step-by-step explanation:
Two ladders are leaning against the wall as shown below. What is the length of the longer ladder?
Answers
The length of the longer ladder is 50 ft. Therefore, the answer is D.
How to find the length of the longer ladder?Two ladders are leaning against the wall as shown below. The length of the longer ladder can be found as follows:
The triangles formed are right angle triangle. The triangles are similar to each other.
Similar triangles are the triangles that have corresponding sides in ratio to each other and corresponding angles congruent to each other.
Therefore, using proportion,
15 / x = 3 / 10
cross multiply
150 = 3x
divide both sides by 3
x = 150 / 3
x = 50
Therefore,
length of the ladder = 50 ft
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Sophia owns a small business selling used books. She knows that in the last week 15 customers paid cash, 50 customers used a debit card, and 15 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card as a decimal to the nearest hundredth.
Answers
The probability that the next person will pay with a debit card is:
P = 0.63
How to find the probability?
We want to find he probability that the next customer will pay with a debit card.
That probability can be estimated as the quotient between the number of customers that paid with debit card and the total number of customers.
We know that:
15 paid in cash.
50 paid with debit card.
15 paid with credit card.
For a total of 15 + 50 + 15 = 80
Then the probability is:
P = 50/80 = 0.63
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A formula for the normal systolic blood pressure for a man age A, measured in mmHg, is given as P = 0.006 A2 0.02 A + 120. Find the age of a man whose normal blood pressure measures 123 mmHg. Round your answer to the nearest year.
Answers
P = 0.006 A^2 - 0.02 A + 120
Where:
P = blood pressure
A = age
Replace P by 123 and solve for A
123 = 0.006 A^2 - 0.02 A + 120
0 = 0.006 A^2 - 0.02 A + 120 -123
0= 0.006 A^2 - 0.02 A - 3
The equation is in the form:
Ax^2+ b x + c
Where:
a = 0.006
b= -0.02
C= -3
Apply the quadratic formula:
\(\frac{-b\pm\sqrt[]{b^2-4\cdot a\cdot c}}{2\cdot a}\)Replace:
\(\frac{-(-0.02)\pm\sqrt[]{(-0.02)^2-4\cdot0.006\cdot-3}}{2\cdot0.006}\)\(\frac{0.02\pm\sqrt[]{0.0004+0.072}}{0.012}\)\(\frac{0.02\pm0.26907248}{0.012}\)Positive:
(0.02+0.26907248) /0.012 = 24.1 years
Negative:
(0.02-0.026907248) /0.012 = -0.57
Since age can't be negative the answer is 24.1 years old
Find the 8th term of the geometric sequence 10, -20, 40, ...
Answers
Answer:
-1280
Step-by-step explanation:
10×(-2)= -20
-20×(-2)= 40
4th term: 40×(-2)= -80
5th term: -80×(-2)= 160
6th term: 160×(-2)= -320
7th term: -320×(-2)= 640
8th term: 640×(-2)= -1280
What is the measure of each interior angle of the regular polygon pictured below? If
necessary, round to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
it has 14 sides
360/14= 25.714
rounding to the nearest tenth we get:
25.7
plz help
please do this plz plz plz
Answers
25
7
Therefore,
Base =7 and Hypotenuse =25
Therefore, Perpendicular =
25
2
−7
2
=
625−49
=
576
=24
Hence,
tanA+cotA=
7
24
+
24
7
=
168
576+49
=
168
625
Find the nth derivative of each function by calculating the first few derivatives and observing the pattern that occurs.(a) f(x)=xnf(x)=xn.(b) f(x)=1xf(x)=1x.
Answers
a) The nth derivative for f(x) = xⁿ is n!.
b) The nth derivative for expression f(x) is (-1)^(n+1) * n! / x^(n+1).
(a) f(x) = xⁿ:
To find the nth derivative of f(x) = xⁿ, we can start by calculating the first few derivatives and looking for a pattern:
f(x) = xⁿ
f'(x) = n x^(n-1)
f''(x) = n(n-1)x^(n-2)
f'''(x) = n(n-1)(n-2)x^(n-3)
...
From this pattern, we can observe that the nth derivative of f(x) is given by:
f ⁿ(x) = n(n-1)(n-2)...(n-(n-1)) x^(n-n)
f ⁿ(x) = n!
Therefore, the nth derivative of f(x) = xⁿ is n!.
(b) f(x) = 1/x:
To find the nth derivative of f(x) = 1/x, we can again start by calculating the first few derivatives and observing the pattern:
f(x) = 1/x
f'(x) = -1/x^2
f''(x) = 2/x^3
f'''(x) = -6/x^4
f''''(x) = 24/x^5
...
From this pattern, we can observe that the nth derivative of f(x) alternates between positive and negative values, and is given by:
f ⁿ(x) = (-1)^(n+1) * n! / x^(n+1)
Therefore, the nth derivative of f(x) = 1/x is (-1)^(n+1) * n! / x^(n+1).
In summary, to find the nth derivative of a function, we can start by calculating the first few derivatives and looking for a pattern. Once we have identified the pattern, we can use it to derive a formula for the nth derivative of the function.
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Which table represents a nonlinear function?
X
у
X
y
-70
-11 22
-4 2
-6
12
2
6
1
--2
5
8
9
-18
х у
х
у
- 4 0
-38
-2
-3
0
5
-4
50
6
5
-3
Answers
Answer:
bottom left choice
Step-by-step explanation:
use desmo lol. but u can just find the slope of each one and see if it is linear or not. here is the pic:
note: a1, a2, a3, a4 is the top left one, b1, b2, b3 is the top right, c1, c2, c3 is the bottom left.
hope it helps. maybe u have to visualize the graph by connecting the points
please help me with this
Answers
Answer:
a=8/2 b=9/4 c=13/5
Put the following equation of a line into slope-intercept form, simplifying all
fractions
3y - 4x =9
Answers
Mr jb has a rectangular lot that measure 550 meters by 0.75 km.What is the area of the land in square meter. He is selling the whole lot for 206, 250,000 pesos, how much is the price per square meter
Answers
Answer:
The area in square meter is 412,500 square meters
the price per square meter is 500 pesos per square meter
Step-by-step explanation:
Firstly, let us get the measure of the dimensions in meters
Mathematically, 1000 m = 1 km
Thus;
0.75 km = 0.75 * 1000 = 750 m
The area of a rectangle is the product of its side lengths
mathematically, we have this as;
550 * 750 = 412,500 square meters
To get the price per square meter, we have to divide the price of the whole plot by the area
So we have ;
(206,250,000) pesos / 412,500 square meters
= 500 pesos per square meter
Please help Quickly Look At Image.
Answers
Answer:
abc- 130
ebd-130
abe-50
Step-by-step explanation:
120 cm
B
Which pairs of rectangles are similar polygons?
Select Similar or Not Similar for each pair of rectangles.
90 cm
105 cm
А
C
100 cm
Similar
Not Similar
80 cm
A and B
75 cm
B and C
A and
Answers
Answer: a and b only are similar
Step-by-step explanation:
Ad/ab= de/bc similar triangles have proportional sides
Answer:
The true answer below
Step-by-step explanation:
When rounded to the tens place, which of the numbers below round to 34,590? Select all that apply.
A) 34,587
B) 34,650
C) 34,594
D) 34,595
E) 35,005
Answers
Answer:
A), C)
Step-by-step explanation:
Let's round all numbers below to the nearest 10.
A) 34,590
B) 34,650
C) 34,590
D) 34,600
E) 35,010
hope this helps
answer the following, Round final answer to 4 decimal places. a.) Which of the following is the correct wording for the randon variable? r×= the percentage of all people in favor of a new building project rv= the number of people who are in favor of a new building project r N= the number of people polled r×= the number of people out of 10 who are in favor of a new building project b.) What is the probability that exactly 4 of them favor the new building project? c.) What is the probabilitv that less than 4 of them favor the new building project? d.) What is the probabilitv that more than 4 of them favor the new building project? e.) What is the probabilitv that exactly 6 of them favor the new building project? f.) What is the probability that at least 6 of them favor the new building project? 8.) What is the probabilitv that at most 6 of them favor the new building project?
Answers
In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.
a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.
b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.
c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.
d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).
e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.
f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
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Part I: Domain and Range-identify the domain and range of each graph Problem/Work A
Answers
The domain refers to all the values of x (inputs) for the function
The range refers to all the values of y (outputs) for the function
\(\begin{gathered} domain=-2\le x\le1;\mleft\lbrace-2,-1,0,1\mright\rbrace \\ range=0\le x\le3;\mleft\lbrace0,1,2,3\mright\rbrace \end{gathered}\)We have the domain & range thus:
\(\begin{gathered} (domain,range)=(-2,0),(-1,3),(0,0),(1,3) \\ domain=-2,-1,0,1 \\ range=0,3,0,3 \end{gathered}\)The speed of a car is considered a continuous variable. O True O False
Answers
True, the speed of a car is considered a continuous variable.
In the context of measurement, a continuous variable can take any value within a given range. Speed is a continuous variable because it can theoretically be measured with infinite precision, and there are no specific individual values that it must take.
A car's speed can range from 0 to any positive value, allowing for an infinite number of possible values within that range. Therefore, it falls under the category of continuous variables.
This characteristic of continuity in speed has implications for statistical analysis. It means that statistical techniques used for continuous variables, such as calculating means, variances, and probabilities using probability density functions, can be applied to analyze and describe the behavior of car speeds accurately.
The continuous nature of speed also enables the use of calculus-based methods for studying rates of change, such as calculating acceleration or determining the distance traveled over a specific time interval.
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PLEASE HELP!!! I need to know the hypotenuse to this triangle.
The bottom side adjacent to the right triangle is 14.4 by the way. You should solve this using trig.
Answers
Answer:
hypotenuse = 14.8
Step-by-step explanation:
Pythagorean Theorem: \(a^2 + b^2 = c^2\)
\(3.2^2 + 14.4^2 = c^2\\10.24 + 207.36 = c^2\\\sqrt{217.6} = c\\c = 14.751...\\c = 14.8\)
HELPPP!!!!!!!ASAP!!!!!
What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by =2.2+1.2
y
=
2.2
x
+
1.2
.
Answers
Answer:
y = 2.2x - 11
Step-by-step explanation:
Slope: 2.2
y-intercept: 0 - (2.2)(5) = - 11
(it urgent)
Find the AREA of the SHADED REGION
Answers
Answer:
i will answer but there is no picture
Step-by-step explanation:
sorry
1 1/4 in the whole number?
Answers
Answer:
2.75
Step-by-step explanation:
Jerry eats one-fourth of a pecan pie. Sally eats
one-fifth of the same pie. Rose comes home from
school and eats two-tenths of the same pie. How
much of the pie has been eaten?
Answers
Answer:
13/20 or .65
Step-by-step explanation:
1/4 + 1/5 + 2/10 = Total amount eaten
Find a common denominator is 20
1/4 = 5/20
1/5 = 4/20
2/10 = 4/20
13/20
pls help meh ill give brainliest i gave it before so why not middle school math
Answers
Answer:
1800
Step-by-step explanation:
suppose the initial cost to be x
it was increased by 6.5%
so, since the price increased is 117
117=6.5% of x
117=(6.5/100) . x
117 . 100=6.5 x
x=11700/6.5
x=1800
The diagram shows a cube and a cuboid. 6 cm 18 cm 8cm The total surface area of the cube is equal to the total surface area of the cuboid. Janet says, "The volume of the cube is equal to the volume of the cuboid." Is Janet correct? You must show how you get your answer.
Answers
Janet is not correct. The volume of the cube is not equal to the volume of the cuboid.
The total surface area of the cube is given by 6a^2, where a is the length of one side of the cube. In this case, the total surface area of the cube is 6(6^2) = 216 square cm.
The total surface area of the cuboid is given by 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the cuboid, respectively. In this case, the dimensions of the cuboid are 6 cm, 18 cm, and 8 cm. So the total surface area of the cuboid is 2(6x18) + 2(6x8) + 2(18x8) = 444 square cm.
Since the total surface area of the cube is equal to the total surface area of the cuboid, we can equate the two expressions:
6a^2 = 2lw + 2lh + 2wh
Substituting the dimensions of the cuboid, we get:
6a^2 = 2(6x18) + 2(6x8) + 2(18x8)
6a^2 = 444
a^2 = 74
a = sqrt(74) = 8.6 (approx.)
The volume of the cube is given by a^3, which in this case is approximately 658 cubic cm.
The volume of the cuboid is given by lwh, which in this case is 6 x 18 x 8 = 864 cubic cm.
Therefore, the volume of the cube is not equal to the volume of the cuboid, and Janet's statement is incorrect.
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Can someone please help me? :(
Answers
Answer:
A
Step-by-step explanation:
4ft*4 1/3ft*3 1/3ft = 57 7/9 ft3
Which is the better buy?2-cup carton of sour cream for $1.542-quart carton of sour cream for $8.16
Answers
Answer:
Go for the quart!
Step-by-step explanation:
4 cups = 1 quart
$1.542 * 4 = $6.168
$6.168 > $8.16
Go for the quart!
Your welcome!
Kayden Kohl
8th Grade Student