Answer:
7/2
Step-by-step explanation:
4b+8/-2=10
4b-4=10
4b=10+4
4b=14
b=14/4
simplify
b=7/2
Please and thank you
Answer:
[tex]-4p^3-3p^2-17p[/tex]
Step-by-step explanation:
Adding a negative number is the same as subtracting a number. Using this logic, we can change the equation to equal this:
[tex]-3p^3+5p^2-2p-p^3-8p^2-15p[/tex]
Combining like terms, we have negative 3p cubed minus another p cubed, which equals negative 4p cubed, we have 5p squared minus 8p squared, which equals negative 3p squared, and we have negative 2p minus 15p, which is negative 17p.
Today only, a sofa is being sold at a 72% discount. The sale price is 218.40.
What was the price yesterday?
Answer:
780
Step-by-step explanation:
Let x be the original price
x - x*72% is the new price
x - .72x = 218.40
.28x = 218.40
Divide each side by .28
.28x/.28 = 218.40/.28
x =780
what is the degree of the polynomial below
Answer:
d
Step-by-step explanation:
trust me gang
Answer:
the degree is the value of the highest exponent... 4x^3 the exponent is a three
answer "D"
Step-by-step explanation:
could someone please answer these two
Answer:
SEE BELOW
Step-by-step explanation:
1. find value of m
a^2 + b^2 = c^2
7.5^2+10^2=c^2
15+100=c^2
115=c^2
square it
=10.7 (not answer)
a^2+b^2=c^2
10.7^2+30^2=c^2
114.49+900=c^2
1014.49=c^2
square it
m=31.9
2.20^2 + 21^2 = 841
29^2=841
yes the triangle is right angled !!!
hope this helps :)
Solve T=L(2+RS) for R
Answer:
Step-by-step explanation:
I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have
T = 2L + LRS
Next subtract the 2L to get
T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get
[tex]\frac{T}{LS}-\frac{2L}{LS}[/tex] = R In that second term, the L's cancel each other out, leaving us with
[tex]\frac{T}{LS}-\frac{2}{S}[/tex] = R
Pipe A can fill 3 tanks in 8 minutes. Pipe B can fill 5 tanks in 10 minutes. How long will it take for them to fill a single tank if they work together?
Answer:
c =4 4/9 minutes
Step-by-step explanation:
The formula is
1/a + 1/b = 1/c where a and b is the time for each working alone and c is the time working together
1/8 + 1/10 = 1/c
Multiply by 40c to clear the fractions ( 40c is the least common multiple)
40c(1/8 + 1/10 = 1/c)
5c + 4c = 40)
9c = 40
Divide by 9
9c/9 = 40/9
c =4 4/9 minutes
Which expression is equivalent to (3^2)^-2
Answer:
1/3^4
1/81
Step-by-step explanation:
(3^2)^-2
We know that a^b^c = a^(b*c)
3 ^(2*-2)
3^-4
We know that a^-b = 1/a^b
1/3^4
1/81
Find the measure of the indicated angle to the nearest degree
Answer:
16 degrees
Step-by-step explanation:
Tan(?) = perpendicular/base
Tan(?) = 13/46
?=arctan(13/46)=16
(4,-5) with slope of 2
that's a point slope form so
y +5 = 2(x -4)
Last question i ‘m struggling with.
steAnswer:
Step-by-step explanation:
step1 5(9x-8)=4(x+2)
step2 45x -40=4x +8
step3 41x=48
step 4 x=48/41
Please hurry I will mark you brainliest
What are the slope and y-intercept of this line?
Answer:
y=2x-1
Step-by-step explanation:
The slope is 2/1=2 and the y-intercept is -1.
Answer:
Slope = 2, Y intercept = -1
Step-by-step explanation:
For the Slope use Rise/Run to calculate (you go two up and 1 over which means 2/1 which equals 2).
For the Y intercept find where the line intersects the Y Axis which is -1.
Find the missing side of triangle
Answer:
Download gauthmath it will help Jesus loves you
A square has an area of 49 cm squared what is the length of each side
Answer:
7
Step-by-step explanation:
[tex]s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7[/tex]
The following are the ages (years) of 5 people in a room: 16, 25, 23, 12, 17 A person enters the room. The mean age of the 6 people is now 20. What is the age of the person who entered the room?
Answer: 27
Step-by-step explanation:
Set the age of the person who entered the room as x[tex]Mean=\frac{16 + 25 + 23 + 12 + 17 + x}{6}=20 \\16 + 25 + 23 + 12 + 17 + x=20(6)\\93+x=120\\x=120-93=27[/tex]
Answer:
27 years old
Step-by-step explanation:
There are originally 5 people in the room.
Their ages are: 16, 25, 23, 12, 17
The sum of their ages is: 93
One person enters the room. That person's age is unknown, so we call it x.
The sum of the ages of the 6 people is:
x + 93
There are 6 people in the room now, so the mean age is (total age divided by number of people):
(x + 93)/6
We are told the mean age is 20.
(x + 93)/6 = 20
x + 93 = 120
x = 27
Answer: 27 years old
A cell phone tower services a circular region
within 20 miles of the tower. What is the
area of the region? (Use it = 3.14)
Area of a circle: pi x r^2
---r is the radius of the circle
A = pi x 20^2
A = 3.14 x 400
A = 1256 square miles
Hope this helps!
Which term describes the red curve in the figure bellow?
Answer:
Letter B. Hyperbole is your answer
I NEED HELP ASAP
question is in picture
Find the value of x. Round
the nearest tenth.
Answer:
x = 13.5
Step-by-step explanation:
We need to use the law of sines
sin 27 sin 34
------- = --------
11 x
Using cross products
x sin 27 = 11 sin 34
x = 11 sin 34/ sin 27
x=13.54901
To the nearest tenth
x = 13.5
PLZ PLZ PLZ PLZ hurry
Answer:
4/3
Step-by-step explanation:
To find the slope, we can use the slope formula
m= (y2-y1)/(x2-x1)
= ( -1 - -13)/( 3 - -6)
= (-1+13)/( 3+6)
= 12/9
= 4/3
Answer:
G. [tex]\displaystyle \frac{4}{3}[/tex]
Step-by-step explanation:
Hi there!
[tex]slope=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-6,-13) and (3,-1)
[tex]slope=\displaystyle \frac{-1-(-13)}{3-(-6)}\\\\slope=\displaystyle \frac{-1+13}{3+6}\\\\slope=\displaystyle \frac{12}{9}\\\\slope=\displaystyle \frac{4}{3}[/tex]
Therefore, the slope of the line is [tex]\displaystyle \frac{4}{3}[/tex].
I hope this helps!
A metal rod will be cut into pieces that are each 1/56 meters long. The rod is 7/8
meters long how many pieces will be made from the rod? Write in simplest form.
7/8 = x/56
x = 7 x 7
so, 49/56 = rod
so, 49 pieces will be made
hope it helps :)
Three men and six women are waiting to be interviewed for jobs. If they are all selected in random order, find the probability that all men will be interviewed first.
Answer:
1/84Step-by-step explanation:
Total people:
3 + 6 = 9Probabilities of men:
P(first man) = 3/9 = 1/3P(second man) = 2/8 = 1/4P(third man) = 1/7Required probability is:
P(first 3 men) = 1/3*1/4*1/7 = 1/84Please help.. I’ve done two of these and have been doing work since 5:30 a.m. I’m so tired right now
Answer:
19. 11
21. 119
Step-by-step explanation:
19.
(-5)² - [4(-3 ∙ 2 + 4)² + 3] + 5 =
= (-5)² - [4(-6 + 4)² + 3] + 5
= (-5)² - [4(-2)² + 3] + 5
= (-5)² - [4(4) + 3] + 5
= (-5)² - [16 + 3] + 5
= 25 - 19 + 5
= 6 + 5
= 11
21.
5 - 8[6 - (3 ∙ 2 - 8 + 2|4 ÷ -2 + (-3)| - 4) - 7 · 2] - 3² · (-2) =
= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-2 + (-3)| - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-5| - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (3 ∙ 2 - 8 + 2(5) - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (6 - 8 + 10 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (-2 + 10 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (8 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - 4 - 7 · 2] - 3² · (-2)
= 5 - 8[6 - 4 - 14] - 3² · (-2)
= 5 - 8[2 - 14] - 3² · (-2)
= 5 - 8[-12] - 3² · (-2)
= 5 - (-96) - 9 · (-2)
= 5 + 96 + 18
= 101 + 18
= 119
i have the answer, 2-(3/x+2)
i got this from my calculator, however i need another line of working and i’m unsure of the process used to get there
Start with the answer format we want, and work your way toward forming a single fraction like so
[tex]a + \frac{b}{x+2}\\\\a*1+\frac{b}{x+2}\\\\a*\frac{x+2}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)+b}{x+2}\\\\\frac{ax+2a+b}{x+2}\\\\\frac{ax+(2a+b)}{x+2}\\\\[/tex]
Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.
Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.
So, 4+b = 1 leads to b = -3
Therefore, a = 2 and b = -3
------------------------------------------------
An alternative route:
[tex]\frac{2x+1}{x+2}\\\\\frac{2x+1+0}{x+2}\\\\\frac{2x+1+4-4}{x+2}\\\\\frac{(2x+4)+1-4}{x+2}\\\\\frac{2(x+2)-3}{x+2}\\\\\frac{2(x+2)}{x+2}+\frac{-3}{x+2}\\\\2-\frac{3}{x+2}\\\\[/tex]
I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.
------------------------------------------------
Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.
Answer:
a = 2
b = -3
Step-by-step explanation:
the secret is seeing that the numerator (top part of the division) contains 2x. that means 2 times the factor of x in the denominator (bottom part of the division).
so, we want to change the numerator that we can simply say the result is 2 and some rest (remainder).
2×(x+2) would be 2x + 4
aha !
and we have 2x+1 up there. so, what had to happen to get from 2x+4 to 2x+1 ? we had to subtract 3. it to get to 2x+4 we have to add 3.
but if we add 3, we need also to subtract 3 to keep the value of the whole expression the same.
therefore we get
(2x+1)/(x+2) = (2x+4)/(x+2) - 3/(x+2) =
= 2×(x+2)/(x+2) - 3/(x+2) = 2 - 3/(x+2)
− 96 ÷ −6 ÷ 8 =
a) 2 b) -2
Answer:
answer is 2
Step-by-step explanation:
answer is 2…………………………………
For the transition matrix P = [0.8 2 0.2 2, 0.3 0.7], solve the equation SP = S to find the stationary matrix S and the limiting matrix Upper P overbar.
Answer:
Stationary matrix S = [ 0.6 0.4 ]
limiting matrix P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]
Step-by-step explanation:
Transition matrix
[tex]p = \left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex]
solving the equation SP = S ( using Markova chain with 2 states )
stationary matrix, S = [ a , 1 - a ]
given that SP = S
[ a , 1 - a ] * [tex]\left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex] = [ a , 1 - a ]
= a*(0.8) + ( 1 - a ) ( 0.3 ) = a
∴ a = 0.6
hence; stationary matrix S = [ 0.6 0.4 ]
limiting matrix P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]
geometry: follow directions below for each for each figure. show steps. circle answers. find the area of each figure!!
HELP ASAP!!!
THANK YOU SO MUCH:)))
Answer:
56 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 (14) (8)
A = 56 cm^2
Confused on this one
Answer:
2nd is the correct answer for your question
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
D and C
Step-by-step explanation:
1) You can cross check using desmos.
2) cos(120) is - 0.5
Can anyone plz solve this question step by step ASAP!
Answer:
40√3 cm²Step-by-step explanation:
Step 1
Find the height:
h² = 8² - (12 - 8)²h² = 64 - 16 = 48h = √48 = 4√3Step 2
Find the area:
A = 1/2(a + b)hA = 1/2(12 + 8)(4√3) = 40√3 cm²4. (a) Determine the sum of the interior angles of a dodecagon (12-sided polygon). Show your
work.
(b) Determine the sum of the exterior angles.
Answer:
A.1800 B.360
Step-by-step explanation:
a- 12-2×180=1800
b- 30x12=360