Answer:
[tex]r\geq -18[/tex]
Step-by-step explanation:
[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]
Hope this helps!
y/4 − 2 = 9
what does y =
Answer:
y = 44
Step-by-step explanation:
First, add 2 on both sides to get y/4 = 11, then multiply 4 on both sides to get y = 44.
Hope this helps :)
What is countercurrent multiplication?.
Answer:
What is countercurrent multiplication? ... Countercurrent multiplication in the kidneys is the process of using energy to generate an osmotic gradient that enables you to reabsorb water from the tubular fluid and produce concentrated urine.
Determine the following probabilities. Enter your final answers as reduced fractions. Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads. Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 8. A single digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 4 and the letter is a consonant. Two dice are rolled. Find the probability that first die lands on an even number and the second die is less than 2.
The probability of an event occurring is given by the ratio of the number of
possible outcome to the number of required outcome.
First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].Reasons:
First question:
The number of faces in a coin = 2; A head or a tail
The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]
The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]
The probability that the first coin lands on heads and the second coin lands
on tails = P(H ∩ T)
Which gives;
[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]
The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25
Second question:
The number of black cards in a pack of 52 = 26 cards
The number of cards that are a 8 in a pack of 52 cards = 8 cards
[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]
[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]
The probability of drawing a black card and then an 8, P(B∩8), is given as follows;
[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]
The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]
Third question:
The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]
The number of consonant in the alphabet = 21
The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]
The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C) = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]
Fourth question:
The number of even numbers on a die = 3; (2, 4, 6)
The number of numbers less than 2 on a die = 1
The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]
The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]
Therefore;
The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]
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50 pts. & will give brainliest! use the rational root theorem to list all possible rational roots of the polynomial equation x^3 - x^2 - x - 3 = 0. do not find the actual roots. (1 point)
a. -3, -1, 1, 3
b. 1, 3
c. -3, 3
d. no roots
Answer:
The Cubic Polynomial given here is
x³ - x² - x -3 =0
Rational root theorem :
Consider any polynomial
[tex]→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0[/tex]
So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.
Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .
Option 1. -3,-1,1,3 is correct optionAnswer:
-3, -1 , 1, 3
Step-by-step explanation:
Constant factors: 1, -1, 3, -3
Coefficient factors: 1, -1
I really need help with this question
Answer:
a) 625; 625; right triangle
b) 205; 256; obtuse triangle
Step-by-step explanation:
The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.
left side7² +24² = 49 +576 = 625
25² = 625
The sum of the squares of the short sides is the square of the long side, so this is a right triangle.
__
right side6² +13² = 36 +169 = 205
16² = 256
The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an obtuse triangle (as shown).
Please help and explain. You don't understand it very well.
Answer:
y = (-1/2)x + 2
Step-by-step explanation:
The black line slopes down as we move from left to right, so we conclude that the slope is negative. From (0, 2) to (4, 0), y drops by 2 units (the rise) and x increases by 4 units (run).
Thus the slope is m = rise / run = -2/4, or m = -1/2.
The y-intercept is (0, 2), so the value of b in the equation y = mx + b is 2.
Thus the equation of this line is y = mx + b => y = (-1/2)x + 2
8+w/4 when w is 16
plz answer it for me plzzz
Answer:
8+w/4 Putting w = 168+16/4(32+16)/4= 48/4= 12Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Help please (((((((((((((((
Answer:
The side ST is 10. If the quadrilateral Q is reflected, and the side is 10, the others should also have 10 as the side for ST.
100 POINTS IF U GET THIS RIGHT!
[tex]y = 9x + \dfrac 94 \\\\\text{The above equation is in a form of y=mx + b, where b is the y - intercept}\\\\\\\text{Hence the y-intercept is }~ \dfrac 94[/tex]
Three-fourths divided by 2 is?
Answer: i think 1/4
Step-by-step explanation: maybe i might be incorrect
Answer:
3/4 or 1 1/2
This is an easy mutiplixation problem
you just turn the 2 into a fraction.
Write 41. 287 to 1 decimal place
what is the discriminant of f(x)=2x^2+8x+16
and the number and type of roots
Answer:
2 imaginary roots
Step-by-step explanation:
The discriminate is the portion of the quadratic equation under the square root
D = b^2 - 4ac
D = 8^2 - 4(2)(16)
D = 64 - 128
D = -64
Since the discriminate is negative the square root will be imaginary
and there will be 2 of them
2 imaginary roots
9514 1404 393
Answer:
discriminant: -64two complex rootsStep-by-step explanation:
The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...
a=2, b=8, c=16
so, the discriminant is 8² -4(2)(16) = 64 -128 = -64
A negative discriminant indicates there are two conjugate complex roots.
7/8 times 7/9 what is the answer
Write an equation in slope intercept form of the line
Answer: y=-1/4x+4
Step-by-step explanation:
slope goes down 1, and right 4 so it's -1/4. Y-intercept is positive 4 so it will be +4
The population of Earth is estimated to be 7.4 billion people, or 7,400,000,000. What is this number in scientific notation?
Answer:
7.4 x 10 to the 9th power
Step-by-step explanation:
At the end of numbers, there is a decimal point. when writing in function notation, you bring the point to the left or to the right depending on if it is a negative or a positive number
in this problem, you are dealing with a positive number, so bring the decimal point to the left. count how many numbers it takes to get in between, in this number, 7 and 4. it takes 9 spaces to the left. now the decimal point has been moved, your number goes from 7,400,000,000 to 7.4 x 10 to the 9th power(7.4 x 10^9)
4. (Will give BRAINLIST to best answer) what’s the missing angle measure based on the given angle measures.
Answer:
dang sounds like a skill issue now give best
Step-by-step explanation:
Answer:
dang sounds like a skill issue
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
Answer:
D i think sorry if wrong
Step-by-step explanation:
A 4-mile cab ride cost $5.50, and a 9 mile cab ride costs $8.00. Identify two points from this information. Let the total cost of the cab ride represent (y) and the number of miles traveled (x)
Two points which can be identified from this information are; (4, 5.50) and (9, 8.00).
According to the question;
total cost of the cab ride represent (y) and the number of miles traveled (x).In essence, the information provided can be used to provide two points as follows; (4, 5.50) and (9, 8.00).
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what is the formula for calculating midpoint
The intersection of a line segment's two endpoints is known as the midpoint. From the midpoint to one endpoint and the midpoint to the other endpoint, you will be given two equal distances.
The formula for calculating the midpoint is given below:
[tex] \boxed{ \bold{ \: \: M = \bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\bigg) \: \: }}[/tex]For example, let us try solving this sample problem below using the midpoint formula:
Sample problem: A new transmission tower will be put up midway between two existing towers. On a map drawn on a coordinate plane, the coordinates of first existing tower are (-5, -3) and the coordinates of the second existing tower are (9, 13). What are the coordinates of the point where the new tower will be placed?
From inspection on the given problem:
[tex]\sf (x_1, y_1) = (-5, -3) [/tex][tex]\sf (x_2, y_2) = (9, 13) [/tex]Substitute the given values into the midpoint formula and solve for M:
[tex]\sf M = \bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\bigg)[/tex][tex]\sf M = \bigg(\dfrac{-5 + 9}{2}, \dfrac{-3 + 13}{2}\bigg)[/tex][tex]\sf M = \bigg(\dfrac{4}{2}, \dfrac{10}{2}\bigg)[/tex][tex]\sf M = (2, 5)[/tex]Therefore, the coordinates of the point are (2, 5).
[tex]\\[/tex]
Now, wasn't that easy? Try this other sample problem:
The endpoints of a segment are (-5, 2) and (9, 12), respectively. What are the coordinates of its midpoint?From the sample problem above, you may solve it on your own to enhance your skill on calculating the midpoint.
Cheers!
Line A is represented by the following equation: x + y = 2
What is most likely the equation for line B so the set of equations has no solution?
Step-by-step explanation:
Line A : x + y = 2
The most likely equation for line B so that the set of equation has no solution is:
x + y = 4
====
x + y = 2
x = 2 - y
2-y + y = 4
0 = 4 - 2
0 ≠ 2
there is no value for x nor y. so, no solution.
The perimeter of the table shown is 16 feet. Write an equation in the form px+q=r to solve for x.
p = 2
q = 6
r = 16
x = 5 feet
Step-by-step explanation:
The perimeter of the rectangle is
In your case,
Width = 3 feet
Length = x feet
So, the perimeter is
Since the perimeter is 16 feet, we have
Hence,
p = 2
q = 6
r = 16
Solve this equation for x:
6. A math book is 3.78 cm thick. What is the total width of 21 math
books on the shelf?
79.38 cm
........................................
What is the slope of the line shown on the graph to the right?
i need help with this
Answer:
88
Step-by-step explanation:
The triangles are congruent. Also, a triangle has a sum of 180 degrees for its interior angles.
Angles D and A are both unknown.
Angles O and P are both 55.
Angles G and W are both 37.
37+55 = 92
That means there would be 88 degrees left for the unknown angle to get to the total of 180 degrees.
92 + 88 = 180
can someone please help me!! this assignment is due at 11:59 I need this done
Answer:
x=16.782
Step-by-step explanation:
a=40*
b=20
c=90*
d=40* (corner in lower right corner, we know it equals 40* because all triangles equal 180*)
e=26.108 (bottom side)
Hope this helps! BH
Make x the subject of the formula:
t=w+(q/x)
Answer:
q
-------- = x
t - w
Step-by-step explanation:
Isolate (q/x) on the right side of this equation, by subtracting w from both sides. Then:
t - w = q/x, or
t - w q
------- = -----
1 x
Next, invert this equation. We get
1 x
--------- = -----
t - w q
Finally, multiply both sides by q:
q
-------- = x
t - w
If the original quantity is 15 and the new quantity is 19, estimate the percent change.
15 to 19 was about a 27% in increase
A garden snail moves 1/6 foot in 1/3 hour. How far is the snail moving per hour?
A. 2 feet per hour
B. 1/2 foot per hour
C. 1 foot per 2 hours
D. 1/4 foot per hour
Answer:
c) 1 foot per 2 hours
Step-by-step explanation:
1/6 of a foot (which is 12 inches) is 2 inches
1/3 of an hour (which is 60 minutes) is 20 minutes
2 inches in 20 minutes is the same as 12 inches (which is 1 foot) in 120 minutes (which is 2 hours)
What is the exponential form of the logarithmic equation?
4=log0.7(0.2401)
The exponential form of the logarithmic equation 4 = [tex]log_{0.7} (0.2401)[/tex] is
0.7⁴ = 0.2401
4 = [tex]log_{0.7} (0.2401)[/tex]
The exponential form of the logarithmic equation can be represented below:
Using logarithm rules,
logₐ b = x
Can be represented in exponential form as follows:
aˣ = b
Therefore,
4 = [tex]log_{0.7} (0.2401)[/tex]
using the logarithm rule described above can be represented in exponential form as follows:
0.7⁴ = 0.2401
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Answer:
0.7⁴ = 0.2401
Step-by-step explanation:
As a civil engineer, you are drafting the plans
for a new water treatment plant. The water
mains for this plant measure 48 inches in
diameter. At each joint between pipes in the
main, a strip of rubber will be bonded to the
outside of the pipe joint to improve the seal.
About how long will the rubber seal be when
it is trimmed to fit around the pipe?
The distance around a circle is the circumference.
Circumference = Pi x diameter.
Circumference = 3.14 x 48
Circumference = 150.72 inches
Round the answer as needed.