Answers
Answer:
13
Step-by-step explanation:
[tex] s = \sqrt{ {13}^{2} + {2}^{2} } = \sqrt{169 + 4} \sqrt{173} = 13.15[/tex]
[tex]t = \sqrt{ {13}^{2} + {2}^{2} + 2 {}^{2} } = \sqrt{177} = 13.30[/tex]
Related Questions
What is the value of K?
Answers
Let's look into the solution step by step.
Explanation:
Given: A quadratic equation, kx2 - 14x + 8 = 0
Let the two zeros of the equation be α and β.
According to the given question, if one of the roots is α the other root will be 6α.
Thus, β = 6α
Hence, the two zeros are α and 6α.
We know that for a given quadratic equation ax2 + bx + c = 0
The sum of the zeros is expressed as,
α + β = - b / a
The product of the zeros is expressed as,
αβ = c / a
For the given quadratic equation kx2 - 14x + 8 = 0,
a = k, b = -14, c = 8
The sum of the zeros is:
α + 6α = 14 / k [Since the two zeros are α and 6α]
⇒ 7α = 14 / k
⇒ α = 2 / k --------------- (1)
The product of the zeros is:
⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]
⇒ 6α 2 = 8 / k
⇒ 6 (2 / k)2 = 8 / k [From (1)]
⇒ 6 × (4 / k) = 8
⇒ k = 24 / 8
⇒ k = 3
the time failures for an electronic component are exponentially distributed with a mean of 50 hours between consecutive failures. what is the probability that a randomly selected part will fail in less than 20 hours
Answers
Using the exponential distribution, it is found that there is a 0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.
Exponential distributionThe exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
In this problem, the mean and the decay parameter are, respectively, given by:
[tex]m = 50, \mu = \frac{1}{50} = 0.02[/tex].
The probability that a randomly selected part will fail in less than 20 hours is given by:
[tex]P(X \leq 20) = 1 - e^{-0.02 \times 20} = 0.3297[/tex]
0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.
More can be learned about the exponential distribution at https://brainly.com/question/18596455
The difference of two numbers is 3. Their sum is 13. Find the numbers.
Answers
Answer:
10 and 3
Ten and three have a difference of three, and their sum is thirteen, with that being said, this should be correct.
Use a table to multiply (-3a2)(a - b).
Answers
Answer:
-3a³ + 3ba²
Step-by-step explanation:
1) Distribute
-3a² (a-b)
-3a³ + 3ba²
I need help with math please!!!!
77-99+33 divided by 6
Answers
Answer:
try with
[tex]77 - 99 + 33 \div 6[/tex]
to calculate so you can find the answer thanks me later
Step-by-step explanation:
carry on learningWhich statement best describe the product of 4/5x10
Answers
Answer:
4/5x10=8
Step-by-step explanation:
Not sure what the statements the question describes are since you didn't put them but the product is 8.
Which formula below is used to find the volume of a shape?
A. length ÷ width ÷ height
B. length − width − height
C. length + width + height
D. length × width × height
Answers
Answer:
D. length × width × height
Step-by-step explanation:
That is how you calculate the volume of a shape.
Solve for x.
x=
x+19 7x+9
Answers
Hey there!
x + 19 + 7x + 9 = 180°
1x + 19 + 7x + 9 = 180°
8x + 28 = 180°
SUBTRACT 28 to BOTH SIDES
8x + 28 - 28 = 180° - 28
SIMPLIFY IT!
8x = 180 - 28
8x = 152
DIVIDE 8 to BOTH SIDES
8x/8 = 152/8
SIMPLIFY IT!
x = 152/8
x = 19
Therefore, your answer should be:
x = 19
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
(x-4)(x+3)(x-5)
I am confused
Answers
ANSWER:
x³ - 6x² -7x + 60
________________________
#HopeItsHelp
Roots
x = -3
x = 4
x = 5
The graph
PLS answer and explain
Write the expression for the cubic function
Answers
Answer:
F(x) = ax3 + bx2 + cx1 + d.
Step-by-step explanation:
A, b, and c are the coefficients and d is the constant.
The ratio of men to women working for a company is 5 to 4. If there are 234 employees total, how many women work for the company?
Answers
Answer:
104
Step-by-step explanation:
5 to 4 equals 9
divide 234 by 9 and you get 26
26 times 5 is 130
and 26 times 4 is 104
so 130 to 104 adding up gives you 234
and the number of women employees would be 104
determine the quadtratic that has the following square root (5/3, 7/3)
Answers
Answer:
9x^2 - 36x + 35.
Step-by-step explanation:
One would be (x - 5/3)(x - 7/3) <------ in factor form.
Getting rid of the fractions by multiplying each term by 3:
= (3x - 5)(3x - 7)
Converting to standard form
= 3x*3x -7*3x - 5*3x + 35
= 9x^2 - 36x + 35.
25 points!
7 and 8 Find the measurement of the missing interior angle
Answers
Answer:
7. x = 88
8. x = 59
Step-by-step explanation:
You're probably trying to equal 180° because that's what the triangle should equal so
7. 48° + (88° - 44°) + 88° = 180°
8. 73° + (59° - 11°) + 59° = 180°
I hope this is right :,)
X=8
For #8:
X=59
if the compound ratio of 5:8 and 3:7 is 45:x. find x
Answers
Given:
5:8 and 3:7 = 45:X
Explanation:
15:56 = 45:x
15x. = 2520
X=2520/15
x= 168
Conclusion:
Thus the value of x is found to be 168.
5:8 and 3:7=45:x
15:56 = 45:x
Product of means. = product of extremes
15x. = 2520
X=2520/15
x= 168
868×10^5 this is acly 08
Answers
Answer:
this is easy the answer is 10 power of 5
Step-by-step explanation:
Answer:
86,800,000
________________________________________________________
SolveRemember the order of operations,
parenthesesexponentsmultiplicationdivisionadditionsubtractionGo from top to bottom as most to least important. Start with exponents, the tiny floating numbers. 10 to the power of 5 is the same as 10 times itself 5 times, or increasing the zeros 5 times.
[tex]10^5 = 100,000[/tex]
Next, multiply by 868.
[tex]100,000 * 868 = 86,800,000[/tex]
________________________________________________________
QuestionsAsk in comments.
Find the distance between the two points. |(1,4) ✓ [?] (-2,-3) Enter the number that goes beneath the radical symbol.
Answers
Answer: √58
Step-by-step explanation:
[tex]\begin{aligned}&\left(x_{1}, y_{1}\right)=(-2,-3) \\&\left(x_{2}, y_{2}\right)=(1,4) \\&\text {The distance between two points is given by,} \\&d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \\&d=\sqrt{(4+3)^{2}+(1+2)^{2}} \\&d=\sqrt{7^{2}+3^{2}} \\&d=\sqrt{49+9} \\&\bold{d=\sqrt{58}}\end{aligned}[/tex]
Therefore, distance between the two points is √58 and the number that goes under the radical symbol is 58
The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines s r and s u is 78 degrees. the space between lines s u and s t is 3 x minus 12. what is manglerst in degrees? 78° 84° 120° 156°
Answers
Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
__
78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
_____
Additional comment
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.
Carl is having a party.
Each cake serves 4 people.
Does this situation represent a proportional relationship?
Answers
Answer:
Yes
Step-by-step explanation:
Help please i need help please
Answers
Answer:
Acute
Step-by-step explanation:
The angle is 5 degrees.
Acute angles are angles between 0-90
Right angles are angles measuring 90 degrees
Obtuse angles are angles between 90-180
Therefore this angle is Acute
HELP ME WITH THESE TWO QUESTIONS PLEASE.
Answers
Answer:
the answer for the first one is 141
and the answer for the second is 48
Answer:
First: -1628
Second: -16
Step-by-step explanation:
For the first problem, start by rewriting the equation by plugging in h and g as (4n-3)(-4n-4)
By FOILing this, you’ll end up with -16n^2-16n+12n+12
-16n^2-4n+12
Now you can plug in n, which is -10:
-16(10)^2-4(10)+12
-1600-40+12
-1628
For the second question, you’ll be plugging f(-2) into g, but I’ll leave -2 as n for simplicity until the end
g(n)=n^2+2n
f(n)=2n-4
g(n)=(f(n))^2+2(f(n))
(2n-4)^2+2(2n-4)
(4n^2-16n+16) + (4n-8)
4(-2)^2-16(-2)+16+4(-2)-8
16-32+16-8-8
-16
Find the equation of the line that goes through the points (0, 6) and (12, 2).
y = 12x + 2
y = -1/3 x + 2
y = -1/3 x + 6
y = -3x + 6
Answers
Answer:
B.
Step-by-step explanation:
If a canoe travels 6 miles per hour downstream, and 2 miles per hour p stream, how many miles per hour will it go in still water?
Answers
Answer:
4 miles per hour
Step-by-step explanation:
The given relations allow us to write two equations.
__
The downstream speed is the sum of the canoe speed and the stream speed:
6 = c + s
The upstream speed is the difference of the canoe speed and the stream speed:
2 = c - s
Adding these two equations, we get ...
8 = 2c
4 = c . . . . . divide by 2
The canoe speed in still water is 4 miles per hour.
Answer:
4 Miles an hour
Step-by-step explanation:
A car travels at 30 1/5 miles in 2/3 of an hour. What is the average speed, in miles per hour
Answers
Answer:
45.3 miles/h
Step-by-step explanation:
The answer is 45.3 miles/h
ANSWER:
45 3/10 mph
decimal form: 45.3 mph
Step-by-step explanation:
30 1/5 /2 = 15 1/10
15 1/10 x 3 = 45 3/10 mph
So hence, your answer is 45 3/10 mph. In decimal format, it can be 45.3
This week, Hadiza read 15 pages each day from Monday through
Friday, and she read a total of 58 pages over the weekend. Complete
the equation to find how many pages Hadiza read this week.
Show your work below.
Answers
Answer: n= 15+58 = 73
Step-by-step explanation: Add pages for the week and weekend
Answer:
Step-by-step explanation:
HadizaReadingWeekly= 15 * Weekdays + 58 for Weekend
HRW=15*WD + 58
H =15*D +58
where H = HadizaReadingWeekly
D = days of the week (5)
then
H = 15*5 +58
H = 75 + 58
H = 133
Hadiza read 133 pages this week
Work out x 3
Give your answer in its simplest form.
1
1
4
4
4
Answers
Answer:
3/4
Step-by-step explanation:
Hey there!
When multiplying fractions, there is no need to make the denominators the same like how you do when adding fractions
So we can just straight multiply the numerators and the denominators together
[tex]\frac{1}{4}*\frac{3}{1}[/tex]
I made 3 to 3/1 so the multiplying process is easier
3 x 1 is 3 and 4 x 1 is 4
The numerator is 3
The denominator is 4
3/4
So 1/4 x 3 is 3/4
rewrite the equation in standard form
Y= -3/4x + 7
rewrite the equation in slope intercept form
X+2y=-3
Answers
Answer:
Y= -3/4x + 7 in standard form is 3x + 4y = 28
x + 2y =-3 in slope intercept form is y= 1/2x - 3/2
Step-by-step explanation:
Hope this helps!!
Answer:
please see photo above for detailed analysis.
10. Enter the value of p so that the expression 8(n + 2) is equivalent to (n + p)8
Answers
Answer:
p=2
Step-by-step explanation:
8n + 16 = 8n + 8p
subtract 8n
16=8p
divide both sides by 8
p = 2
To find the value of p that sets the expression equal to each other:
⇒ must set both equations equal to each other, like such:
[tex]8(n+2)=(n+p)8\\8n+16=8n+8p\\8n+16-8n=8p\\16=8p\\8p=16\\p=2[/tex]
Thus the value of p so that the expression 8(n + 2) is equivalent to (n + p)8 is 2
Answer: 2
Hope that helps!
jayce runs 2 1/2 miles on monday. Each day after that, he runs the same 1 1/3 mile route every morning. His goal is to run at least 6 miles by the end of the week. Which inequality represents the least number of days after monday that jayce needs to run to reach his goal?
Answers
Answer:
Step-by-step explanation:
6 < 2 1/2 + 1 1/3R
Vhich statements are true about the graph of the function f(x) = x7
- 8x + 5? Select three options.
J The function in vertex form is F(x) = (x - 4)2 - 11
- 11
The vertex of the function is (-8, 5).
O The axis of symmetry is X = 5.
O The y-intercept of the function is (0, 5).
O The function crosses the x-axis twice.
Answers
Answer:
A D E
Step-by-step explanation:
https://brainly.com/question/18143812
10. Find the surface area of the figure to the left.
13 m
9 m
Answers
Answer:
soz i need points n
Step-by-step explanation:
cuz