Answer:
y = [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 3 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 3) into the partial equation
- 3 = 1 + c ⇒ c = - 3 - 1 = - 4
y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line
An equation of the line that passes through points (2,−3) and is perpendicular to the line is equal to [tex]y=\frac{1}{2} x-4[/tex]
Given the following equation:
[tex]y=-2x-3[/tex]Points (x, y) = (2, -3)First of all, we would determine the slope of the given equation:
Slope, [tex]m_1[/tex] = -2
In Mathematics, the slopes of two lines are said to be perpendicular when the product of these slopes is equal to negative one (-1).
Mathematically, this is given by;
[tex]m_1 \times m_2 = -1[/tex]
Substituting the value of [tex]m_1[/tex], we have:
[tex]m_1 \times m_2 = -1\\\\-2 \times m_2 = -1\\\\m_2 = \frac{1}{2}[/tex]
The standard form of an equation of line is given by the formula;
[tex]y -y_1 =m(x-x_1)[/tex]
Where:
x and y are the points.m is the slope.Substituting the points into the formula, we have;
[tex]y-y_1 =m(x-x_1)\\\\y-[-3] =\frac{1}{2} (x-2)\\\\y+3=\frac{1}{2} x -1\\\\y=\frac{1}{2} x-1 -3\\\\y=\frac{1}{2} x-4[/tex]
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Jeffery surveyed 50 randomly selected workers at a factory. He collected data about the individual output of a worker on an average day. The results are shown using the box-and-whisker plot. What percent of workers have output more than 70 units?
Answer:
the answer is 30% of the workers have output more than 70 units.
Step-by-step explanation:
Answer: I believe the answer is 25%.
What is the value of a?
6/2
9
8V
36v2
Step-by-step explanation:
a= the height of the triangle=h
[tex]h^{2} = ef[/tex]
by ef, e= 18 & f=4
so...
[tex]h^{2} = 18 \times 4 = 72[/tex]
so you put both of them in a square root
[tex] \sqrt{h} = \sqrt{72}[/tex]
so the answer will be
[tex]h = \sqrt{72} = 6 \sqrt{2} [/tex]
Answer:
The answer is A
Step-by-step explanation:
Edg2020
what is 100,00 times 1/100,000, using the standard method of multiplication?
Answer:
0.1
Step-by-step explanation:
10,000 * (1/100,000) = 0.1
Section B question 1
Answer:
24
Step-by-step explanation:
Answer:there would be 24 ways
Step-by-step explanation:
For your question hopefully it helps
In the problem 8^3 - 10 × 5 - 4
Answer: 458
Simplify
8³=8×8×8
Multiply
8×8×8=512
10×5=50
Subtract
512-50=462
462-4=458
Answer:
458
Step-by-step explanation:
8×8×8=512
10×5=50
512- 50 = 462
462-4= 458
Correct answers only please! I keep loosing points...
Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$ 7,299.92
Step-by-step explanation:
A = $ 7,299.92
A = P + I where
P (principal) = $ 6,000.00
I (interest) = $ 1,299.92
a)Work out an estimate for the mean time it took the students.Round your answer to 2 significant figures.
b)What fraction of the students finished in less than 20 minutes?
A park ranger at a large national park wants to estimate the mean diameter of all the aspen trees in the park. The park ranger believes that due to environmental changes, the aspen trees are not growing as large as they were in 1975.
Answer:
(a) 0.15866
(b) Clustered, with two peaks
(c) Point estimate is 6.3 inches
Margin of error is 0.7 inches
(d) Yes
(e) Stratified sampling method
Step-by-step explanation:
(a) The given information are as follows
Mean diameter of Aspen trees, μ = 8 inches
Standard deviation, σ = 2.5 inches
[tex]z = \frac{x - \mu}{\sigma} = \frac{5.5 - 8 }{2.5} = -1[/tex]
Therefore;
p(x < 5.5) = p(z < -1)
From the z score table, we have p = 0.15866
Therefore, the probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866
(b) The distribution of the Aspen trees can be described as clustered and having two peaks around 9.25 inches and 5.25 inches
(c) The point estimate is 5.6 + (7.0 - 5.6)/2 = 6.3
The margin of error = (7.0 - 5.6)/2 = 0.7 inches
(d) Yes, because the 8 inches is outside the range
(e) Stratified sampling method
Here, the Aspen trees are separated into the highland and lowland samples such that the measurement required will be representative of both highlands park and lowlands park.
Write the ratio in lowest terms:
7-1/2 inches to 3-1/3 inches
Answer:
9:4
Step-by-step explanation:
I believe you meant:
7 1/2 in
-------------
3 1/3 in
Rewriting both mixed numbers as improper fractions, we get:
15
------
2
==========
10
-------
3
Remember: to divide by a fraction (such as 10/3 here), invert the divisor fraction and multiply instead:
15 3 (3)(3)
------- * ------ = --------- = 9/4 or 9:4 (this is a ratio expressed in lowest terms)
2 10 (2)(2)
Fill in the missing portions of the function to rewrite g(x) = 3a^2 − 42a + 135 to reveal the zeros of the function. What are the zeros of g(x)? (show your work!)
Enter your answers in the blanks:
g(x) = 3(_____)(_____)
Zeros: ______ and ______
Answer:
g(x) = 3(x-9)(x-5)
Zeros: x = 9 and x = 5.
Step-by-step explanation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
[tex]g(x) = 3x^{2} - 42a + 135[/tex]
So
[tex]a = 3, b = -42, c = 135[/tex]
[tex]\bigtriangleup = (-42)^{2} - 4*3*135 = 144[/tex]
[tex]x_{1} = \frac{-(-42) + \sqrt{144}}{2*3} = 9[/tex]
[tex]x_{2} = \frac{-(42) - \sqrt{144}}{2*3} = 5[/tex]
So
g(x) = 3(x-9)(x-5)
Zeros: x = 9 and x = 5.
Fly with Us owns a D.C.10 airplane that has seats for 240 people. The company flies this airplane only if
there are at least 100 people on the plane. Write a compound inequality to show the possible number of
people in a flight on a D.C.10 with Fly with Us. Let n represent the possible number of people in the flight.
Answer:
562
Step-by-step explanation:
if 240 equals 100
What is the answer to angle A? And do you mind to explain how
Answer:
45 degrees
Step-by-step explanation:
The sum of the angles of a triangle always adds up to 180.
10x + 8x + 5 + 85 = 180
Simplify by combining like terms.
18x + 90 = 180
Subtract 90 from both sides.
18x = 90
Divide both sides by 18.
x = 5 degrees
But the question didn't ask for x, it asked for angle A. So plug back in.
A = 8x + 5
A = 8(5) + 5
A = 40 + 5 = 45 degrees
Answer:
[tex]45 \: \: degrees[/tex]
Step-by-step explanation:
[tex]10x + 8x + 5 + 85 = 180 \\ 18x + 90 = 180 \\ 18x = 180 - 90 \\ 18x = 90 \\ \frac{18x}{18} = \frac{90}{18} \\ x = 5[/tex]
[tex]angle \: \: \: a = 8x + 5 \\ = 8 \times 5 + 5 \\ = 40 + 5 \\ = 45 \: \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Someone please help me
Answer:
The slope is 2.2
Step-by-step explanation:
Since the point goes through (0,0) the slope is given by
m =y/x
4.4 / 2
2.2
Express 27 1/3 in simplest radical form
Answer:
this answer is attached to the picture
Radical function or values are values inside the square root. This shows that the cube root of the given value is 3
Radical functionRadical function or values are values inside the square root. For instance;
√a is a radical function.
According to the law of indices
a^1/3 = ∛a
Given the expression
27^1/3 = ∛27
∛27 = 3
This shows that the cube root of the given value is 3
Learn more on radical function here:https://brainly.com/question/13430746
Divide X^4 + 2x^2+1 by x+1
=x^5+2x^3+1+x÷×
Step-by-step explanation:
x^4+2x^2+(1÷x)+1
make 1÷x a fraction
x^4+2x^2+1/x+1
=x5+2x^3+1+x/x
Tammy bought two rolls of tape. The first roll had 4.8 feet of tape and the second roll had 9.87 feet of tape. How many feet of tape did Tammy buy in all? *
Answer:
14.67ft of tape
Step-by-step explanation:
4.8+9.87=14.67
Please find attached.
Answer:
5.83
Step-by-step explanation:
[tex]c=\sqrt{a^2+b^2\\} =\sqrt{3^2+5^2}\\=5.83[/tex]
Answer:
5.83
Step-by-step explanation:
rs²=3²+5²
rs²=9+25
rs²=34
rs=5.83
3 1/2 divided by 2 3/5
Step-by-step explanation:
31/2×5/23 (use reciprocal)
31×5=155
155÷46=3.369565217
155/46
3 and 17/46
What is the numbers of π
Answer:
3.141592653589793238462643383279502884197169399375105820974944592307816406286
Step-by-step explanation:
It’s a proof... but I don’t think it’s that hard! *sorry I’m just dumb so please do this proof for me...*
Answer:
1. given
2. bisected angles create two congruent angles
3. same side length
4. ASA: angle, side, angle congruency
5. the two triangles are congruent, meaning all of their side lengths correspond, meaning that YZ and WZ are equivalent.
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for . For cylinder A , h=5 m &c=3 m, cylinder B, h=3 m & c=5 m.
Answer:
Cylinder B has a greater volume
Step-by-step explanation:
Volume of a cylinder[tex]=\pi r^2h[/tex]
Cylinder A
h=5m, r=3m
Volume
[tex]=3.14 *3^2*5\\=141.3m^3[/tex]
Cylinder B
h=3m, r=5m
Volume
[tex]=3.14 *5^2*3\\=235.5m^3[/tex]
Cylinder B has a greater volume.
Pleaseee helpp i will let you brainlest
Answer:
13
Step-by-step explanation:
use Pythagorean
it is usually, 5, 12, 13
5. An airplane 30,000 feet above the ground begins to descend at a
rate of 2,000 feet per minute. Choose an equation to model this
situation.
A y = 30,000 – 2,000x
B
y = 30,000x - 2,000
Cy= 30,000 + 2,000x
D y = 30,000x + 2,000
Answer:
A
Step-by-step explanation:
If the airplane is 30,000 feet above the air and descends 2,000 feet it's going down 2,000 feet per minute and cause we don't know how many minutes he was going down we put that as x. and multiply 2,000 for what ever x is.
help pls step by step
this is the problem you had to find the SIMPLIFYING EXPRESSIONS
this is the problem 7x - 2(x + 5) =
20 points!!!
Answer:
5x - 10
Step-by-step explanation:
7x - 2(x + 5)
= 7x - 2x -10
Please mark me brainliest if my answer is correct! Thanks!
= 5x - 10
What is the solution to 34x + 95 = 3(14x + 9)?
Answer:
Step-by-step explanation:
4. Find the length of side EG.
Answer:
42 cm
Step-by-step explanation:
the first triangle is 7 times bigger than the second triangle. ( 4 x 7 = 28)
so to find out line EG, you times 6 cm by 7. which is 42
Please help! Correct answer only!
I've been on this question for more than an hour...
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking a 3 and then picking a 3?
Simplify your answer and write it as a fraction or whole number.
Answer:
You have three card : 3, 4, 5 and 6.
You first pick one card randomly, the probability of picking a 3 is:
P = 1/4
You then pick a second card without putting the first card back, the probability of picking a 3 is:
P = 1/3
=> The probability of picking a 3 and then picking a 3:
P = (1/4) x (1/3) = 1/12
Hope this helps!
:)
In how many ways can a
recorder, facilitator, and
questioner be chosen in a club
containing 14 members?
Answer:
The answer is 364. There are 364 ways of choosing a recorder, a facilitator and a questioner froma club containing 14 members.
This is a Combination problem.
Combination is a branch of mathematics that deals with the problem relating to the number of iterations which allows one to select a sample of elements which we can term "r" from a collection or a group of distinct objects which we can name "n". The rules here are that replacements are not allowed and sample elements may be chosen in any order.
Step-by-step explanation:
Step I
The formula is given as
[tex]C (n,r) = \frac{n}{r} = \frac{n!}{(r!(n-r)!)}[/tex]
n (objects) = 14
r (sample) = 3
Step 2 - Insert Figures
C (14, 3) = [tex](\frac{14}{3})[/tex] = [tex]\frac{14!}{(3!(14-3)!)}[/tex]
= [tex]\frac{87178291200}{(6 X 39916800)}[/tex]
= [tex]\frac{87178291200}{239500800}[/tex]
= 364
Step 3
The total number of ways a recorder, a facilitator and a questioner can be chosen in a club containing 14 members therefore is 364.
Cheers!
a section in a stadium has 24 seats in the first row, 29seats in the second row. increasing by 5 seats each row for a total of 34 rows. how many seats are in this section of the stadium
Answer:
The answer is 2,142.
Step-by-step explanation:
Mark me brialianist of its right
help i will give brainliest
Answer:
1/9
Step-by-step explanation:
The area of a polygon is the old area multiplied by the scale factor squared
New area = old area ( SF) ^2
The scale factor is 1/3
(1/3) ^2 = 1/9
The fraction is 1/9