X^2+ 2x – 35 = 0? .............
Write an equation for line L in point-slope form and slope-intercept form.
L is perpendicular to y=4x.
Answer:
[tex]y = -\frac{1}{4}x + c[/tex] --- Slope intercept
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex] --- Point slope
Step-by-step explanation:
Given
Perpendicular to [tex]y = 4x[/tex]
Required
Determine its equation
The general form of an equation is:
[tex]y = mx + c[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = 4[/tex]
Next, we calculate the slope of L.
Because L is perpendicular to [tex]y = 4x[/tex], the relationship between their slopes is:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4 for m
[tex]m_2 = -\frac{1}{4}[/tex]
The equation of L in slope intercept form is: [tex]y = mx + c[/tex]
Substitute -1/4 for m
[tex]y = -\frac{1}{4}x + c[/tex]
In point slope form, we have:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute -1/4 for m
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex]
Answer:
y-4=-1/4(x-1)
y=-1/4x+17/4
Step-by-step explanation:
Mark has less than 20.00 to spend on the cost of dinner
Write in index form
3x * 3x * 3x * 3x
a.
In 1983, a cast-iron pan cost $28.35. Today, a cast-iron pan costs $52.95. If the CPI is 166, what is the percent relation of the
actual price of a cast-iron pan to the expected price?
The actual price is 11.1% lower than the expected price.
The actual price is 20.8% lower than the expected price.
The actual price is 31.5% higher than the expected price,
d The actual price is 12.5% higher than the expected price.
b
C
Please select the best answer from the choices provided
Ο Α
B
O CO
OD
Answer:
D. The actual price is 12.5% higher than the expected price.
Step-by-step explanation:
hope i helped :)
I NEED HELP!! But it's not an emergency. 50 Points!!
Answer:
D. x = 7 and m∠LMN = 120°Step-by-step explanation:
Since MO bisect angle LMN, the angles formed are congruent:
∠LMO≅∠NMOSubstitute values and solve for x:
13x - 31 = x + 5313x - x = 53 + 3112x = 84x = 7Find the value of ∠LMN:
m∠LMN = 2*m∠LMOm∠LMN = 2(13*7 - 31) = 120°Correct option is D
Here,
MO is bisect of the [tex]\angle{LMN}[/tex],
SO,
[tex]\angle{LMO}[/tex]=~[tex]\angle{NMO}[/tex]
According to the question,
[tex]\bold{ 13x-31=x+53 }[/tex]
[tex]\bold{ 13x-x=53+31 }[/tex]
[tex]\bold{12x=84 }[/tex]
[tex]\bold{x=\dfrac{84}{12} }[/tex]
[tex]\bold{x=7 }[/tex]
Now we find the value of [tex]\angle{LMN }[/tex]
so,
[tex]\angle{LMO}=2×\angle{NMO }[/tex]
[tex]\bold{ 2×(13×7-37) }[/tex]
[tex]\bold{2×(91-31) }[/tex]
[tex]\bold{2×60 }[/tex]
[tex]\bold{120° }[/tex]
the formula C = 6p + 200 gives C , the total cost in dollars of hosting a birthday party for p guests at a local ice cream parlor .
A : solve the formula for p .
B : isabella can spend $350 for her birthday party . how many people can she invite ?
HELP PLSSS PLSSSS WALLAH HELP
Answer:
30
Step-by-step explanation:
use the Pythagorean theorem
Answer:
30
Step-by-step explanation:
as you see i kinda need help lol
Answer:
i believe the answer is C
Step-by-step explanation:
Question 5
Evaluate:
Five cubed.
Write the numerical answer only.
Answer:
125
Step-by-step explanation:
..................
Answer:
pretty sure it's 125
Step-by-step explanation:
hope this helps!
What is the value of the expression (2/5+2/5)×3/10?
HELP
[tex]( \frac{2}{5} + \frac{2}{5} ) \times \frac{3}{10} [/tex]
[tex] \frac{4}{5} \times \frac{3}{10} [/tex]
[tex] \frac{6}{25} [/tex]
Decimal Form:
[tex]0.24[/tex]
HopeItHelps you
#CarryOnLearning
Change 41 out of 50 to a percentage.
Step-by-step explanation:
50x=41*100
50x=4100
x=4100/50
x=82%
can anyone please help with this???
Answer:
car is decelerating
Step-by-step explanation:
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is
correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survive to adulthood.
What is the probability that more than 4 elk in the sample to survive to adulthood?
O 0.6294
O 0.2304
0.8598
0.1402
O 0.3706
Answer:
0.1402
Step-by-step explanation:
For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution 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.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.
This means that [tex]p = 0.44[/tex]
Suppose researchers choose 7 baby elk at random to monitor.
This means that [tex]n = 7[/tex]
What is the probability that more than 4 elk in the sample to survive to adulthood?
This is:
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]
[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]
[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]
0.1402 probability that more than 4 elk in the sample to survive to adulthood.
Using the concept of binomial probability, the probability that more than 4 survive is 0.1402
Using the binomial probability formula :
[tex] P(x = x) = nCx \times p^{x} \times q^{(n-x)} [/tex] p = probability of success = 0.44q = 1 - p = 1 - 0.44 = 0.56 n = number of trials = 7The probability that more than 4 survive can be defined thus :
[tex] P(x > 4) = p(x = 5) + p(x = 6) + p(x = 7) [/tex]Using a binomial probability calculator :
[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]
[tex] P(x > 4) = 0.1402 [/tex]
Hence, the probability that more than 4 survive is 0.1402
Learn more : https://brainly.com/question/15929089
Is this graph and example of sun or cos graph?
Find the value of 24/25 ÷ 4/5. Explain your reasoning
Answer:
6/5
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Answer:
0.048
Step-by-step explanation:
Divided both numbers
Please solve the question below 2.0
Answer:
The answer is B
Step-by-step explanation:
Just look at the picture
517 37/50 + 312 3/100
Answer: 829 3/4 or 829 75/100
Step-by-step explanation:
Urgent help need it plz
Answer:
angle 1 = 51
angle 2 = 34
angle 3 = 95
angle 4 = 38
angle 5 = 47
angle 6 = 74
angle 7 = 59
Step-by-step explanation:
a straight line is 180 degree, so to find angle 1, subtract 129 by 180.
angle 2 is found by adding angle 1 and 95 then subtract that by 180.
angle 3 and 95 are opposite angles, so they are the same
for angle 4, add angle three and 47 then subtract that by 180
angle 5 is 47, they are opposite
angle 7, subtract 121 by 180
angle 6, you add angle 5 and 7, and subtract that by 180
a classroom is 2.8m high and has a volume of 182m3. calculate the floor area of the classroom
The area is the volume divided by the height.
Area = 182 / 2.8
Area = 65 square meters
Area of the classroom floor is equals to [tex]65m^{2}[/tex].
What is area?" Area is defined as the total space occupied by any two dimensional object."
Formula used
Volume of a cuboid = Length × width × height
Area of a classroom floor = length × width
According to the question,
Given,
Height of a classroom = [tex]2.8m[/tex]
Volume of a classroom =[tex]182 m^{3}[/tex]
Substitute the value in the formula of volume we get,
182 = Length × width × 2.8
⇒Length × width = [tex]\frac{182}{2.8}[/tex]
⇒Length × width =[tex]65m^{2}[/tex]
Therefore,
Area of the classroom floor =[tex]65m^{2}[/tex]
Hence, area of the classroom floor is equals to [tex]65m^{2}[/tex].
Learn more about area here
https://brainly.com/question/27683633
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Please help 30 points
Answer:
The total surface area is 973.89 ft
Step-by-step explanation:
The formula for the surface area of a cylinder is A=2πrh+2πr2.
The top cylinder has a radius of 5 ft, and height of 2 ft.
The bottom cylinder has a radius of 10 ft, and a height of 2 ft.
Plug in the numbers for each and you get:
Top Cylinder:
A=2π(5)(2)+2π(5^2)
A=2π(10)+2π(25)
A= 62.83185307 + 157.079327
A= 219.9111801
A≈ 219.91
Bottom Cylinder:
A= 2π(10)(2)+2π(10^2)
A= 2π(20)+2π(100)
A= 125.6637061 + 628.3185307
A= 753.9822368
A≈ 753.98
Combined:
753.98 + 219.91 = 973.89
Which ratio is proportional to 35/7?
a)20/4 b) 15/2 c) 25/6 d) 12/2
Answer:
the answer is b i hope it helps
Please help I’ll mark you as brainliest if correct!
Answer:
304
Step-by-step explanation:
The area of the square is 12 x 8 = 96.
There are two triangles with area (11x8)/2=44. 44x2=88.
There are two triangles with area (10x12)/2=60. 60x2=120.
96+88+120=304
Hope I helped!
the product of two number is 20 and the sum of square is 41 find the number
Let the two number is a and b
so,
product =ab=20
sum of square=[tex]\bold{a^2+b^2=41 }[/tex]
Then,
[tex]\bold{(a+b)^2=a^2+b^2+2ab }[/tex]
[tex]\bold{ (a+b)^2=41+2×40 }[/tex]
[tex]\bold{ (a+b)^2=81 }[/tex]
[tex]\bold{a+b=\sqrt{81} }[/tex]
[tex]\bold{a+b=9 }[/tex]•••••••••(equation I)
Now,
[tex]\bold{(a-b)^2=a^2+b^2-4ab }[/tex]
[tex]\bold{ (a-b)^2=41-4×20 }[/tex]
[tex]\bold{(a-b)^2=41-40 }[/tex]
[tex]\bold{a-b=\sqrt{1} }[/tex]
[tex]\bold{a-b=1 }[/tex]••••••••(equation II)
Now,combine the equation I and equation II
we,get
[tex]\bold{a+b+a-b=9+1 }[/tex]
[tex]\bold{a+\cancel{b}+a\cancel{-b}=10 }[/tex]
[tex]\bold{ 2a=10 }[/tex]
[tex]\bold{a=\dfrac{10}{2} }[/tex]
[tex]\blue{\boxed{ a=5 }}[/tex]
Then,
put the value of a in equation II.
we get that,
[tex]\bold{5-b=1 }[/tex]
[tex]\bold{b+1=5 }[/tex]
[tex]\bold{b=5-1 }[/tex]
[tex]\bold{\boxed{\blue{b=4}} }[/tex]
so,
The two number is 5 and 4.
Order 0.5 , 0.66 , -1.5 , -1.25 from least to greatest
Answer:
-1.25, -1.5, 0.5, 0.66
hope it helps you
PLEASE HELP!!!!
A taxi charges $4.00 for the first mile plus $1.25 for each additional mile.
On a fare of $16.50, how long was the ride?
The perimeter of a square is 52 cm.
Calculate the area of the square.
Answer:
52/4 = 13
13 X 13 = 169 cm squared
9. What is the best model for the data?
Answer choices:
Linear
Exponential
Quadratic
Answer:
Exponential
Step-by-step explanation:
I think this is the answer but not correct me if I'm wrong
which of the following are functions.
Answer:
Graph ii and iii
Step-by-step explanation:
In graph ii and iii, every input has one and only output. Another way to check is by doing the vertical line test.
HELP! whoever gets it right gets brainliest!
Answer:
The answer is B
Step-by-step explanation:
Answer is B
Answer:
The answer is B
Step-by-step explanation:
BBBBBBBBBBBBBBBBBBBBBBBBBB IS THE ANSWER