[tex]5a + 3 {a}^{2} \\ = 5( - 3) + 3( { - 3}^{2} ) \\ = - 15 + 3(9) \\ = - 15 + 27 \\ = 12[/tex]
I hope I helped you^_^
Answer:
12
Step-by-step explanation:
5a + 3a^2 when a = -3
~Substitute
5(-3) + 3(-3)^2
~Simplify
-15 + 3(9)
-15 + 27
12
Best of Luck!
Which is the least common multiple of 12 and 8?
2
24
Answer:
24 is the answer . hope this helps you.The sum of two whole numbers is 64 and their difference is 20. What is the bigger number?
Answer:
42 and 22 are the numbers
Step-by-step explanation:
Let the numbers be x and y
[tex]x + y = 64[/tex]
[tex]x - y = 20[/tex]
On adding both
[tex]x + y + x - y = 64 + 20[/tex]
[tex]2x = 84[/tex]
[tex]x = \dfrac{84}{2} [/tex]
[tex]x = 42[/tex]
Using 1
[tex]42 + y = 64[/tex]
[tex]y = 64 - 42[/tex]
[tex]y = 22[/tex]
Convert 3.82 meters per second to kilometers per hour
Answer:
13.752km/h
Step-by-step explanation:
Just convert them and devide them
3.82m/s, i can also write it as
3.82m
-----------
1s
Therefore just change the units to your liking
(3.82 ÷1000)km
-----------
( 1 ÷60÷60) hour
Answer:
10.152kmph
Step-by-step explanation:
3.82:1000/1:3600
A hotel has a total of 7 floors if there are 35 standard rooms on each floor how many standard rooms are there
Answer:
245
Step-by-step explanation:
multiple the amount of rooms on each floor (35) by the amount of floors (7)
35x7=245 rooms
Which of the following is an arithmetic sequence?
Answer:
please mark me brainliest pleaseThe answer to the question
Answer:
5383 4983
i dont know
Step-by-step explanation:
what are the coordinates of the point (2,3) after a counterclockwise rotation of 90° about the origin? Only answer if your 100% right please. Will Mark Brainliest
(-3, 2)
Step-by-step explanation:
when the point is rotated through 90∘ about the origin in the counterclockwise direction then the point M(h,k) takes the image M′(−k,h)
so the point (2,3) will be (-3 ,2 )
one half to the eight power in fraction form
Answer:
1/16
Step-by-step explanation:
one half raised to the power of to eight = one sixteen
please help in solving this math problem
9514 1404 393
Answer:
Rs 3200
Step-by-step explanation:
The actual selling price was 20% below the cost price, so was ...
sp = cp(1 -20%) = 0.80cp
Had the selling price been raised, the selling price would have been 5% above the cost price:
sp +800 = cp(1 +5%) = 1.05cp
Subtracting the first equation from the second gives ...
(sp +800) -(sp) = (1.05cp) -(0.80cp)
800 = 0.25cp . . . . . . . simplify
3200 = cp . . . . . . . . multiply by 4
The cost price was Rs 3200.
write 3.777777777 as a mixed number
Find the nth term for the following sequences, 100,96,90,82,72.(an^2+bn+c)
9514 1404 393
Answer:
t(n) = -n^2 -n +102
Step-by-step explanation:
We can use the first 3 terms to find a, b, c.
a(1)^2 +b(1) +c = 100
a(2)^2 +b(2) +c = 96
a(3)^2 +b(3) +c = 90
Subtract the first equation from the other two:
3a +b = -4 . . . . . . [eq4]
8a +2b = -10 . . . . [eq5]
[eq5] can be reduced to
4a +b = -5 . . . . . . [eq6]
Subtracting [eq4] from [eq6] gives ...
(4a +b) -(3a +b) = (-5) -(-4)
a = -1 . . . . . . . . simplify
Filling that into [eq4], we get
3(-1) +b = -4
b = -1 . . . . . . . add 3
Putting the values for 'a' and 'b' into the first equation gives ...
-1 +-1 +c = 100
c = 102
Then the n-th term t(n) of the sequence is ...
t(n) = -n^2 -n +102
_____
Additional comment
As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...
a = d2/2b = d1 -3ac = a1 -d1 +d2This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...
a = -2/2 = -1b = -4 -3(-1) = -1c = 100 -(-4) +(-2) = 102 . . . . . as above28 plus 27 multiplied by 36
Answer:
1980
Step-by-step explanation:
450 m
110
equals which of the following values to the correct number of significant figures?
The equivalent expression of the given value is 4.1 m/s in two significant figures
Your question is incomplete, i believe the following is the intended question.
[tex]\frac{450 \ m}{ 110 \ s}[/tex] equals which of the following values to the correct number of significant figures ?
The express the given value in the correct significant figures we will simplify it as follows:
450 m has 2 significant figures ( 4 and 5)
110 s has 2 significant figures (1 and 1)
Thus, the resultant ratio of the two numbers will be expressed in two significant figures.
[tex]\frac{450 \ m}{110 \ s} = 4.0909 \ m/s\\\\in \ two \ significant \ figures = 4.1 \ m/s[/tex]
Therefore, the equivalent expression of the given value is 4.1 m/s
Learn more here: https://brainly.com/question/23396760
A king Palm can grow about 21 feet a year . Estimate the height of the kind palm , yard ,after 15 years
Answer:
10.5 yards after 15 years
Step-by-step explanation:
2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards
435 divided by 15 equals what?
Dominic earns $14.25 an hour. Last week he worked 28 hours. How much did Dominic earn last week?
Answer:
$399
Step-by-step explanation:
If he earns $14.25 an hour and works 28 hours, we can find out how much he's earned by multiplying the rate per hour by the number of hours,
14.25 × 28 =
399
He earned $399 last week.
Match the expression to its value.
104
1
= 0.01
102
104
102
10,000
10-4. 102
1
= 0.000001
109
10-4
1
= 0.0001
10-
Answer:
Ans; 10⁴ —> 10, 000
Ans; 10-⁴ / 10² —> 1/ 10⁶ = 0. 000 001
Ans; 10-⁴ × 10² —> 1/ 10² = 0.01
Ans; 10-⁴ —> 1/ 10⁴ = 0. 000 1
I hope I helped you^_^
Answer:
A=a
B=d
C=c
D=b
Step-by-step explanation:
hi guys all can come
qwo-jtvf-xkb
Answer
Hello
how are you
Please Help thanks!
Points A, B, and C are collinear and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?
BC=
On a number line, suppose point E has a coordinate of −3,and EG=8.What are the possible coordinates of point G?
The possible coordinates for G are?
Please help!
The measure of side BC is 30 units.
Given:
Points A, B, and C are collinear and B lies between A and C.
[tex]AC=48[/tex]
[tex]AB=2x+2[/tex]
[tex]BC=3x+6[/tex]
To find:
The value of BC.
Solution:
Points A, B, and C are collinear and B lies between A and C. So,
[tex]AB+BC=AC[/tex] [Segment addition postulate]
[tex](2x+2)+(3x+6)=48[/tex]
[tex]5x+8=48[/tex]
Subtract 8 from both sides.
[tex]5x=48-8[/tex]
[tex]5x=40[/tex]
Divide both sides by 5.
[tex]\dfrac{5x}{5}=\dfrac{40}{5}[/tex]
[tex]x=8[/tex]
Now,
[tex]BC=3(8)+6[/tex]
[tex]BC=24+6[/tex]
[tex]BC=30[/tex]
Therefore, the value of BC is 30.
--------------------------------------------------------------------------------------------------------------
The possible coordinates for G are -11 and 5.
Given:
On a number line, suppose point E has a coordinate of [tex]-3[/tex], and [tex]EG=8[/tex].
To find:
The possible coordinates of point G.
Solution:
Either point G lies 8 units left of point E or 8 units right of point E.
[tex]G=-3-8[/tex]
[tex]G=-11[/tex]
And
[tex]G=-3+8[/tex]
[tex]G=5[/tex]
Therefore, the possible coordinates for G are -11 and 5.
Learn more:
https://brainly.com/question/13071707
Help me pleaseeeesndjkdnskxndkdjd
Step-by-step explanation:
[tex]8x - 3 = 5 + 4y[/tex]
Isolate y first subtract 5 from both sides
[tex]8x - 8 = 4y[/tex]
Divide both sides by 4.
[tex] \frac{8x - 8}{4} = y[/tex]
[tex]2x - 2 = y[/tex]
y= 1
Step-by-step explanation:
Solve for y:
8x - 3 = 5 + 4y
8x = 4y + 5+3
Divide both sides by 8
x = 1÷2y + 1
plug into equation
8 (1÷2y +1) - 3 = 5 + 4y
Distribute
8÷2+ 8 - 3 = 5 + 4y
4 + 5 -5 = 4y
Combine like item
4 = 4y
divide both sides by 4
y= 1
100 points plus brainly!!
Answer:
see below
Step-by-step explanation:
We can use the distance formula
11. d =sqrt( (y2-y1)^2 + (x2-x1) ^2)
= sqrt( (-3 --5)^2+(-6 - -1)^2)
= sqrt( (-3+5)^2 + (-6+1)^2)
= sqrt( 2^2 + (-5)^2)
= sqrt (4+25)
= sqrt(29)
12. Using the points ( 1,3) and (4,-1)
d =sqrt( (y2-y1)^2 + (x2-x1) ^2)
= sqrt( (-1-3)^2+(4-1)^2)
= sqrt( (-4)^2+(3)^2)
= sqrt(16+9)
=sqrt(25)
=5
Answer:
11. d =sqrt( (y2-y1)^2 + (x2-x1) ^2)
= sqrt( (-3 --5)^2+(-6 - -1)^2)
= sqrt( (-3+5)^2 + (-6+1)^2)
= sqrt( 2^2 + (-5)^2)
= sqrt (4+25)
= sqrt(29)
12. Using the points ( 1,3) and (4,-1)
d =sqrt( (y2-y1)^2 + (x2-x1) ^2)
= sqrt( (-1-3)^2+(4-1)^2)
= sqrt( (-4)^2+(3)^2)
= sqrt(16+9)
=sqrt(25)
=5
Step-by-step explanation:
Express (16^3)^1/2
in simplest radical form.
Answer:
I assume you mean 16^(1/3) i.e. the cube root of 16
I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.
Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3
You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2
Step-by-step explanation:
A fair fare. Three strangers, Bob, Mary, and Ivan, meet at a taxi stand and decide to share a cab to cut down the cost. Each has a different destination, but all the destinations are on the highway leading from the airport, so no circuitous driving is required. Bob's destination is 10 miles away, Mary's is 20 miles, and Ivan's is 30 miles. The taxi costs $2.10 per mile including the tip, regardless of the number of passengers. How much should each person pay?
Answer:
$21 the minimum Bob has to may will be the amount payed regardless of the number of passengers in the taxi
Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.30. After one month, Paul bought 12 passes and spent a total of $22.60.
How much did he spend on the student discount card?
Answer:
$10.24
Step-by-step explanation:
12(1.30)=12.36
22.60-12.36=10.24
Cody won 64 super bouncy balls playing hoops at the county fair. At school he gave three to every student in his math class. He only has 7 remaining. How many students are in his class ?
need algebraic equation too
-11x-11x-11x-11x-11x-11x-11=
what is the fraction of 6/7 divided 2
Answer:
the fraction of 6/7 divided by 2 is 3/7
How do I write 680,705 in expanded form.
Answer:
600,000+80,000+700+5
23 + 3.54 ÷ 3 − 1.089
Answer:
23.089
Step-by-step explanation:
Always divide first then continue with subtraction then addition.
Hey there!
Just do PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
23 + 3.54 / 3 - 1.089
= 23 + 3.54 / 3 - 1.089
3.54 / 3 = 1.18
= 23 + 1.18 - 1.089
23 + 1.18 = 24.18
= 24.18 - 1.089
= 23.091
Answer: 23.091
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Hunter assumed he would only get 64
problems correct on his test, but he
actually got 78 correct. What was his
percent error?
