what is this fraction in its simplest form?
Answer:
a^2/3
Step-by-step explanation:
the numerator simplifies to 5a^3 and the bottom is 15a. we can use our exponent rules to subtract exponents, so it is 1/3(a^2). this simplifies to a^2/3.
Answer:
a^2
------
3
Step-by-step explanation:
5 a^3 / 15a
Simplify the numbers
5/15 = 1/3
Simplify the variables
a^3 /a = a^2
Putting it back together
a^2
------
3
What is the measure of _RVE?
2
60 1.750
V
PS
R
A. 30°
B. 75°
C. 60°
D. 45°
Answer:
D. 45
Step-by-step explanation:
All angles have to = 180°
60 + 75 + <RVE = 180°
135 + RVE = 180°
180 - 135 = 45° RVE
RVE = 45°
Another way to check your answer:
Add all of the angles, and it should equal 180°
60 + 75 + 45 = 180°
Correct!
roger goes shopping and buys an $112 item but has 30% off coupon. if tax is 7%, how much will roger pay altogether?
Step-by-step explanation:
Cost = $112
30% discount coupon on the item he's going to buy
=$112 × 30/100 (or you can write 30%)
=$168/5 ($33.6)
7% tax on the item=$112 × 7/100(or you can write 7%)
= $196/25 ($7.84)
Total amount altogether=$112 - $33.6 - $7.84
=$70.56
not sure for the answer^^
What will the expression below simplify to after combining like terms? *
4 + 6x + 3 + 4x
The length of a rectangular field is twice its breadth. If the perimeter of the field is 150m . Find the dimensions of the rectangle.
Answer:
length=50m
width=25m
Step-by-step explanation:
perimeter is the distance all round,hence
2(l+w)=2(2x+x)=
4x+2x=6x=150
6x=150x
x=25
l=50m
w=25m
Sarah’s parents are concerned that she seems short for her age. Their doctor has the following record of Sarah’s height:
Age: 36,48,51,54,57,60
Height: 82,93,94,98,99,103
Answer:
a) Please find the attached scatter plot
b) Y = 0.85·X + 51.843
c) The intercept = Sarah's height at birth
The slope = Sarah's monthly growth rate
d) Sarah's height in 50 years (600 months) will be 221.198 inches
d) The generality of the population stop growing taller when they reach 216 months old
Step-by-step explanation:
a) Please find attached the scatter plot included here
b) From Microsoft Excel, we have;
N = 6
(ΣX)² = 93636
ΣX = 306
ΣY = 569
ΣXY = 29325
ΣX² = 15966
The equation for the least squares regression line is Y = b·X + a
Where;
[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]
[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]
Substituting the values, gives;
[tex]b = \dfrac{6 \times 29325- 306 \times 569}{6 \times 15966 - 93636} = 0.85[/tex]
[tex]a = \dfrac{569 - 0.85 \times 306}{6} = 51.48\bar 3[/tex]
The equation of the least squares regression line is Y = 0.85·X + 51.843
c) The intercept gives the Sarah's height at birth, while the slope gives the increase in Sarah's height every month
d) In 50 years, which is equivalent to 600 months, we will have;
Y = 0.85 × 600 + 51.843 = 561.843 cm
2.54 cm = 1 inches
Therefore;
561.843 cm = 561.843 cm/2.41 × inches/cm ≈ 221.198 inches (18.43317 feet)
Sarah's height in 50 years (600 months) = 221.198 inches
d) The reason for the impossibly large height is that the generality of the population stop growing taller by 18 years of age which is 216 months.
URGENT PLEASE HELP!!! WILL GIVE 20 POINTS
Read this excerpt from Infinite Jest.
'I could, if you'd let me, talk and talk. Let's talk about anything. I believe the influence of Kierkegaard on Camus is
underestimated. I believe Dennis Gabor may very well have been the Antichrist. I believe Hobbes is just
Rousseau in a dark mirror. I believe, with Hegel, that transcendence is absorption. I could interface you guys
right under the table,'I say. “I'm not just a creâtus, manufactured, conditioned, bred for a function.'
What assumption does the narrator make in this excerpt?
that the people he is addressing enjoy long conversations
O that the people he is addressing appreciate intellectualism
that the people he is addressing have researched philosophy
that the people he is addressing expect a confrontation
Answer: that the people he is addressing appreciate intellectualism
Step-by-step explanation: found it on quizlet
Answer:
That the people he is addressing have researched philosophy
Step-by-step explanation:
i said so
Using the Segment Addition Postulate, find the value of m.
AB = 4m - 15
BC = 5m - 6
AC = 15
Group of answer choices
36
4
15
9
Answer:
36
Step-by-step explanation:
AB + BC = AC
4m - 15 + 5m - 6 = 15
m - 21 = 15
m = 36
help plzzzzzzzzzz!!!!!!!!! I have literally less than 5 minutes!!!!! hurry I don't understand and need help!!!!
There are 4826 fans waiting on a bus to take them to a stadium. If one bus can hold 67 fans, how many buses are needed to get all 4826 fans to the stadium?????????????
Answer: 72 buses
Step-by-step explanation:
4,826/67=72
8. Write the equation that represents the relationship "1 less than a number is 5”? 9. The quotient of n and 2 is 8. What is the value of n?
Answer:
8. x-1=5
9. x/2=8
Step-by-step explanation:
x is the unknown number
less means subtract
quotient means divide
can someone please help me with this one?
it's very urgent!!
Write a paragraph, flow chart, or 2-column proof for the following Conjecture.
Given: ∠1≅ ∠4
Prove: ∠3 ≅∠2
3 = 2 by z property
Step-by-step explanation:
Congruence criteria for triangles
If two sides and the angle between them in one triangle have the same measures as two sides and the angle between them in another triangle, then the triangles are congruent.
Please mark as brainliest
brayden is blocking off several rooms in a hotel for guests coming to his weeding the hotsl can reserve small rooms that can room two people and large rooms that can room four people how many wedding guests could stay in the hotel if brayden reserved 14 small rooms and 12 large rooms how many guests could stay in the hotel if brsyden booked s small sooms and l large rooms
Answer:
76; 20
Step-by-step explanation:
s = small room = 2
l = large room = 4
14s + 12l = 28 + 48 = 76
as I said before s = 2 and l = 4
s*s + l*l = 2*2 + 4*4 = 4 + 16 = 20
Answer:
14 small rooms and 12 large rooms: 76
"s" small rooms and "l" large rooms: 20
Step-by-step explanation:
14 small rooms and 12 large rooms:
2(14)+4(12)
28+48=
76
s small rooms and l large rooms:
2s+4l
(a) Use technology to find the equation and coefficient of determination for each type of regression
model. Use the number of returning players for the input variable and the number of games won for
the output variable. Round all decimal values to three places.
Answer:
Step-by-step explanation:
linear (equation) Y+1.8854+7.8750 ; Coefficient: 0.9764
Quadratic: y=1.089x^2+0.7981x+9.7331 ; coefficent: 0.9918
Exponetial: y=9.4348 x 1.1180 ; coeffient"0.9920
Exponential is the best model
how many minutes are in 2 days using factor labeling SHOW WORK USING FACTOR LABELING
Answer:
Donald
Step-by-step explanation:
Trump
Answer:
See below
Step-by-step explanation:
[tex]\left(\dfrac{60 \text{ min}}{1 \text{ h}} \cdot \dfrac{24 \text{ h}}{1 \text{ day}} \right) = \left(\dfrac{1440 \text{ min}}{1 \text{ day}} \right)[/tex]
[tex]\therefore 2880 \text{ minutes in 2 days}[/tex]
5. Solve the polynomial equation:
Solution,
Given; x^3-7x^2-x+7=0
Using factor theorem,
we have,
i)x^3-7x^2-x+7=0
let's check whether 1 is the factor of given equation or not by replacing the value of x by one..
or, 1^3-7.1^2-1+7=0
or, 1-7-1+7=0(.°. Cancellation of +1&-1 and +7&-7 in equation)
.°.0=0
which proves that 1 is one of the factor of x
therefore(x-1) is a factor of x^3-7x^2-x+7=0.
Now,
Expanding the x^3-7x^2-x+7=0 to get (x-1) as a factor...
ii)x^3-7x^2-x+7=0
or,x^3-x^2-6x^2+6x-7x+7
or,x^2(x-1) - 6x(x-1) - 7(x-1) = 0
or,(x-1) (x^2-6x-7)w = 0
or,,(x-1) (x^2-(7-1)x-7) =0
or,,(x-1) (x^2-7x + x -7) =0
or,(x-1) [x(x-7)+1(x-7)] = 0
or,(x-1) (x+1) (x-7) = 0
Either,
i) x - 1=0
.°.x = 1
And,
ii)x + 1 = 0
.°. x = -1
Or,
iii) x - 7 = 0
.°.x =7
Hence, the required value of x are -1 ,+1 & 7.
Somebody please help ASAP !!!
Suppose g(x) = 3 + 5x.
What is the value of x when g(x) = 23?
(Hint: If 23 and g(x) are equal, then you can substitute 23 for g(x) in the orginial function).
Your answer:
118
5
15
4
9514 1404 393
Answer:
4
Step-by-step explanation:
Substitute the given value for g(x) and solve the 2-step equation for x.
g(x) = 3 + 5x
23 = 3 +5x
20 = 5x . . . . . . subtract 3
4 = x . . . . . . . . divide by 5
The value of x is 4 when g(x) is 23.
Somebody plz plz help ASAP !!!
Answer:
6[tex]m^{2}[/tex] + 6m -9[tex]m^{2}[/tex]
=> (6[tex]m^{2}[/tex] - 9[tex]m^{2}[/tex]) + 6m
=> -3[tex]m^{2}[/tex] + 6m
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
hey need help....heheheh Oki do u guys know wut 2.19 times 43.7 is......it's for a test -_-
Answer:
95.703
Step-by-step explanation:
If you could subscribe to penny_pg3d that would be great :>
Answer:
Your answer is 95.703!
Step-by-step explanation: To explain, It's easier to break apart the decimals and multiply that way step by step. I hope this helps you in future situations! Good luck on your test!
Solve: 4x(x - 3)(x + 5)(2x - 7) = 0
Answer: 8x⁴ - 12x³ - 176x² + 420x
Step-by-step explanation:
First multiply 4x by (x - 3) which = 4x² - 12x. Next multiply (4x² - 12x) by (x + 5) which = 4x³ + 8x² - 60x. Multilying our new trinomial with the next binomial: (4x³ + 8x² - 60x)(2x - 7) = 8x⁴ + 16x³ - 120x² - 28x³ - 56x² + 420x. Combining like terms: 8x⁴ - 12x³ - 176x² + 420x. Notice that when you reduce and factor, you will end up with the starting binomials meaning this solution is correct.
Find the domain and range of the function
Use the figure to find the measures of the numbered angles. Then, explain how you determined each of the numbered angle measures.
Answer:
see below
Step-by-step explanation:
∠1 = 61°
∠2 = 119°
∠3 = 61°
∠4 = 119°
∠5 = 119°
∠6 = 61°
∠7 = 119°
-------------------------------
∠1 = 61° = as given
∠2 = 119° = ( 180 - 61 ) = 119°
∠3 ≅ ∠1 opposite angles are equal (congruent)
∠4 ≅ ∠2 opposite angles are equal (congruent)
∠5 ≅ ∠2 or parallel
∠6 ≅ ∠3 ≅ ∠1
∠7 ≅ ∠5
B is the midpoint of AC. AB = 2x + 12 and AC = 10x - 12.
Find the following:
x:
AB:
BC:
AC:
Answer:
Step-by-step explanation:
If B is the midpoint of AC, then AB = BC and AB+BC = AC
AB +AB = AC
2AB = AC
2(2x+12) = 10x-12
4x+24 = 10x-12
collect like terms:
4x-10x = -12-24
-6x = -36
x = -36/-6
x = 6
Get AB:
AB = 2x+12
AB = 2(6)+12
AB = 12+12
AB = 24
Since AB = BC, hence BC = 24
AC = AB+BC
AC = 24+24
AC = 48
the sum of the first three terms of a sequence Is 42 The fourth term is 24. find u1 and the common difference
[tex]10=2d[/tex]
Given:
The sum of the first three terms of a sequence Is 42.
The fourth term is 24.
To find:
The u₁ and the common difference
Step-by-step explanation:
nth term of a sequence is
[tex]u_n=u_1+(n-1)d[/tex]
where, u₁ is first term and d is common difference.
4th term is 24.
[tex]u_4=u_1+(4-1)d[/tex]
[tex]24=u_1+3d[/tex] ...(i)
Sum of nth term of an AP is
[tex]S_n=\dfrac{n}{2}[2u_1+(n-1)d][/tex]
Sum of first three terms is 42.
[tex]S_3=\dfrac{3}{2}[2u_1+(3-1)d][/tex]
[tex]42=\dfrac{3}{2}[2u_1+2d][/tex]
Divide both sides by 3.
[tex]14=u_1+d[/tex] ...(ii)
On subtract (ii) from (i), we get
[tex]10=2d[/tex]
[tex]5=d[/tex]
Put d=5 in equation (ii).
[tex]14=u_1+5[/tex]
[tex]14-5=u_1[/tex]
[tex]9=u_1[/tex]
Therefore, the first term is [tex]u_1=9[/tex] and common difference is [tex]d=5[/tex] .
Help plsss............
Answer:
The answer would be $50.
Step-by-step explanation:
$5 per session
They come 10 times
$5 x 10 = $50
Roberto Clemente, born in Puerto Rico, became the first Latino baseball player to be inducted in the National Baseball Hall of Fame in 1973. He held many records including reaching 3,000 career hits. During that game, the umpire briefly stopped the game to give the ball to Clemente, who tossed it from second base to the first base coach. If the first base coach was standing 3 feet behind first base and Clemente was standing on second base, which is 90 feet from first base, which expression describes the distance between Clemente and the first base coach?
Answer:
93ftStep-by-step explanation:
Kindly find a simple sketch of a baseball pitch, the circle with a dot inside represents the first base coach(don't mind my drawing please I will improve).
So, from the diagram, we can see that the expression that describes the distance and the first base coach is
y=90+3
y=93
so the distance between Roberto Clemente and the first base coach is 93ft
How can you express 2 2/10 as a fraction?
Answer:
22/10
Step-by-step explanation:
Answer:
22/10
Step-by-step explanation:
this is the improper fraction
x^3*x^4=x^12 whats the answerrr
Answer:
I hope it helps it was the best I can do.
Step-by-step explanation:
-x12 + x7 = 0
Factorization:
−x7(x − 1)(x4 + x3 + x2 + x + 1) = 0
Solutions based on Jenkins–Traub algorithm:
x1 = … = x7 = 0
x8 = 1
x9 = −0.809017 − 0.587785i
x10 = −0.809017 + 0.587785i
x11 = 0.309017 − 0.951057i
x12 = 0.309017 + 0.951057i
What are the answers to the "Writing linear equations puzzle"? Plz help!
Step-by-step explanation:
Can you put a picture or give more information?
— (x + 2) = 5x + 3x – 11
Answer:
The result can be shown in multiple forms.
Exact Form:
x
=
±
2
√
3
−
1
Decimal Form:
x
=
2.46410161
…
,
−
4.46410161
…
Step-by-step explanation: