Answer:
-15m^10 -38m8+57m^6+98m^4-30m^2
Answer:
jere is your answer i hope it will help u
20. simplify each of the following: see the above picture
and get 40 points
Answer:
[tex]i)14 + 4 \sqrt{6} [/tex]
[tex]ii) \sqrt{10} + 28[/tex]
[tex]iii) 243[/tex]
Step-by-step explanation:
[tex]i)(2 \sqrt{3} + \sqrt{2} {)}^{2} [/tex]
➡️ [tex]12 + 4 \sqrt{6} + 2[/tex]
➡️ [tex]14 + 4 \sqrt{6} [/tex] ✅
●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●
[tex]ii)(3 \sqrt{5} - \sqrt{2} ) \times ( \sqrt{2} + 2 \sqrt{5} )[/tex]
➡️ [tex]3 \sqrt{10} + 30 - 2 - 2 \sqrt{10} [/tex]
➡️ [tex] \sqrt{10} + 28[/tex] ✅
●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●
[tex]iii)3 \sqrt{81} \times 3 \sqrt{9} [/tex]
➡️ [tex]3 \times 9 \times 3 \times 3[/tex]
➡️ [tex]243[/tex] ✅
6/6/ Is a proper fraction or improper fraction
Answer:
proper fraction
Step-by-step explanation:
a proper fraction has smaller numerator than its denominatot.
Answer: Proper Fraction
Step-by-step explanation:
The denominator is equal or bigger than the numerator.
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If two angles are complementary, find the measure of each of angle.
Answer:
B: 30 and 60
Step-by-step explanation:
First, let's set up an equation. Since the two angles are complementary, we can write the equation like this:
2p + p = 90
Now, let's solve it!
2p + p = 90
Combine like terms:
3p = 90
Divide each side by 3 to isolate p:
3p/3 = 90/3
p = 30
Now that we know how many degrees one of our angles is, we can subtract that from 90 to get both of the complementary angles.
90 - 30 = 60
Therefore, the two angles that are complementary in this case are 30 and 60 degrees.
If sam runs 63,756 feet in 70 min what's his miles per hour
Answer:
10.35 miles per hr
Step-by-step explanation:
first convert ft into mi
then calculate the distance traveled in one min
multiply the answer by 60
then you get the answer
The total amount of spending per year, in billions, on pets in a certain country x years after 2000 is given by the following function. P(x)=2.1786+25.2 a) Determine the total amount of spending per year on pets in 2007 and in 2012. b) Find and explain what it represents.
Answer:
40.4502 billion dollars
51.3432 billion dollars
Step-by-step explanation:
Given :
Total amount spent in billions in pets x years after year, 2000 ;
P(x)=2.1786x + 25.2
Amount spent in 2007 ;
x = 2007 - 2000 = 7 years
Put x = 7 in the equation :
P(7)=2.1786(7) + 25.2 = 40.4502
Amount spent in 2012 :
x = 2012 - 2000 = 12 years
Put x = 12 in the equation :
P(12) = 2.1786(12) + 25.2 = 51.3432
The amount spent in billik dollars on pets in :
2007 = $404502 billion
2012 = $51.3432 billion
A survey asked 50 students if they play an instrument and if they are in band.
1.25 students play an instrument.
2. 20 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency?
C, just look at the "Total" for each single information.
the values in the inner grid combine multiple informations.
The table shows these data correctly entered in a two-way frequency is table C.
What is Two way Frequency?Two-way frequency tables show the potential connections between two sets of categorical data visually. The table's four (or more) inside cells contain the frequency (count) data, which is displayed above and to the left of the table's designated categories.
We have been the information 25 students play an instrument 20 are in a band 30 are not in a band.
So, the two way table is:
Band Not in Band Total
Play instrument 20 5 25
Do not play instrument 0 25 25
Total 20 30 50
So, Table C is Correct.
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Please help
A. SAS
B. AAS
C. HA
D. LL
E. ASA
F. HL
Answer:
Option B, AAS
Option C, HA
Option E, ASA
these three options applies
If M ABD = 65 and DBC=60 then m ABC=
Answer:
∠ ABC = 125°
Step-by-step explanation:
∠ ABC = ∠ ABD + ∠DBC that is
∠ ABC = 65° + 60° = 125°
Figure A AA is a scale image of Figure B BB. 12 12 6 6 x x 9 9 Figure B Figure B Figure A Figure A What is the value of x xx?
1m
2m
3m
4m
5m
hgfdvwsdfweffffffffffffffffffffff
,
Consider the line L(t)=⟨5+t,1+5t⟩. Then:
Choose perpendicular, parallel or neither. (PS. Answers below may not be true.)
If L(t) = ⟨5 + t, 1 + 5t⟩, then the tangent vector to L(t) is
dL/dt = ⟨1, 5⟩
Any line parallel to L(t) will have the same tangent vector, up to some scalar factor (that is, if the tangent vector is a multiple of ⟨1, 5⟩).
Any line r(t) with tangent vector T(t) = dr/dt that is perpendicular to L(t) will satisfy
T(t) • ⟨1, 5⟩ = 0
• r(t) = ⟨-5, -2t, 1 - 10t⟩ is parallel to L(t) because its tangent vector is
T(t) = ⟨-2, -10⟩ = -2 ⟨1, 5⟩
• r(t) = ⟨1 + 1.5t, 3 + 7.5t⟩ is parallel to L(t) because
T(t) = ⟨1.5, 7.5⟩ = 1.5 ⟨1, 5⟩
• r(t) = ⟨-2 - t, 2 - 2t⟩ is neither parallel nor perpendicular to L(t) because
T(t) = ⟨-1, -2⟩ ≠ k ⟨1, 5⟩
for any real k (in other words, there is no k such that -1 = k and -2 = 5k), and
⟨-1, -2⟩ • ⟨1, 5⟩ = -1 - 10 = -11 ≠ 0
• r(t) = ⟨3 + 15t, -3t⟩ is perpendicular to L(t) because
T(t) = ⟨15, -3⟩
and
⟨15, -3⟩ • ⟨1, 5⟩ = 15 - 15 = 0
evaluate the expression
[tex]-3x^{2} -4y^{2} -z^{2}+6xy-6x+4z[/tex]
72a^7/-9 as a monomial
Answer:
− 8 a ^7
Step-by-step explanation:
See picture for steps :)
Find the lengths of the other two sides of the isosceles right triangle
Answer:
[tex]x=5[/tex]
[tex]h=\sqrt{(5)^{2}+x^{2} } =\sqrt{(5)^{2}+(5)^{2} }[/tex]
[tex]h=\sqrt{25+25} =\sqrt{50}[/tex]
[tex]h=5\sqrt{2}[/tex]
OAmalOHopeO
Jason has eaten 45 chocolates in 5 days. Each days, he ate 2 chocolates more than the previous day. How many chocolates did he ate on the first day?
Answer:5
Step-by-step explanation:
On the first day he ate 5. Second day he ate 7. Then 9, 11, and finally 13. That all equals to 45. I don't know for sure though...
5. Determine the formula for the following arithmetic sequence: 4, 7, 10, 13, ...
Answer:
[tex]a_{n}[/tex] = n + 3Step-by-step explanation:
Each number increases by 3. Therefore, n+3.
what is the distance between the points (0, 10) and (–9, 1).
Answer:
9√2 units
Explanation:
Coordinates of point 1 = (0,10)
Coordinates of point 2 = (-9,1)
distance
=√[(x2-x1)²+(y2-y1)]²
= √[(-9-0)²+(1-10)]²
=> √[(-9)²+(-9)]²
=> √(81+81)
=> √162
=> 9√2
So, the distance between these points is 9√2 units.
._. Help me please I’m putting my faith in this app.
Farmer Dave harvested his corn. He stored 5/9 of his corn in one large silo and ¾ of the remaining corn in a small silo. The rest was taken to market to be sold.
a. What fraction of the corn was stored in the small silo?
b. If he harvested 18 tons of corn, how many tons did he take to market?
After storing 5/9 in the large silo there was 4/9 left ( 1-5/9 = 4/9)
A. Multiply 4/9 by 3/4:
4/9 x 3/4 = 12/36 = 1/3
1/3 of the corn was in the small silo.
B. 1-5/9 -1/3 = 4/9-1/3 = 4/9-3/9 = 1/9
1/9 of the corn went to market:
18 x 1/9 = 18/9 = 2
2 ton went to market.
If 2m−6=8m
2
m
-
6
=
8
m
then 3m=
3
m
=
A. 3
B. -1
C. -3
D. -6
E. I don't know.
Answer:
3m = -3
Step-by-step explanation:
2m−6=8m
Subtract 2m from each side
2m−6-2m=8m-2m
-6 = 6m
Divide by 6
-6/6 = 6m/6
-1 = m
3m = 3(-1) = -3
2m - 6 = 8m
2m - 8m = 6
-6m = 6
m = -6/6
m = -1
Hence, the answer is -1e movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. How could you correctly rewrite the equation 4(10+5) = 6(12 - 2) using the distributive property
9514 1404 393
Answer:
4·10 +4·5 = 6·12 -6·2
Step-by-step explanation:
Each outside factor multiplies each inside term.
4(10 +5) = 6(12 -2)
4·10 +4·5 = 6·12 -6·2
HELP PLS ! ! !
What is |1 − 8i|?
A) √-65
B) 65
C) √65
D) √13
Answer:
C) SQRT(65)
Step-by-step explanation:
the magnitude of 1-8i is given by the following:
sqrt(a^2+b^2)
sqrt(1^2+8^2)
=sqrt(1+64)
=sqrt(65)
It is to be noted that the magnitude of |1 − 8i| is √(65) (Option C)
What is the computation of the above?To find the magnitude (or absolute value) of a complex number, we use the formula |a + bi| = √(a² + b²). In this case, the complex number is 1 - 8i.
Using the formula, we have -
|1 - 8i| = √(1² + (-8)²)
= √(1 + 64)
= √65
Hence, the magnitude of 1 - 8i is √65.
So the correct answer is C) √65.
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Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
please answer quick i need to go to my friends to get my joy con fixed
The area is just the base times the height. In this case, the base is (x+4) and the height is (x+6), and then you just distribute to get x^2 +4x+6x+24 which is x^2+10x+24.
Find the radius of a circle with a circumference of 36 Inches
Answer:
r = 18/pi
or approximately 5.7325 inches
Step-by-step explanation:
The circumference is given by
C = 2*pi*r
36 = 2*pi*r
Divide each side by 2 pi
36/(2pi) = r
18/pi = r
Letting pi = 3.14
18/3.14
5.732484076 = r
Elijah invested $ 830 in an account paying an interest rate of 4.9% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 13 years?
Answer:
$9986
Step-by-step explanation:
You got 13*4=52 quarters in 13 years.
Amount = 830*(1+0.049)^52
Amount = 9986.27
The bike you have been saving for is discounted 15%. You have $600 saved to purchase it. The original, non-discounted price of the bike is $650. There is a 5.58% sales tax added to the price of the bike. After you purchase the bike with the discount and sales tax, how much money will you have left over? Round your answer to the nearest dollar.
Answer:
16.67 or 17 when rounded to nearest dollar
Step-by-step explanation:
$650 x .85 (100%-15% discount) = 552.50 cost of bike on sale
552.50 x 1.0558 (100% + 5.58% tax) = 583.33 cost with tax added.
$600 - 583.33 = $16.67 money left over
Consider rolling a fair die twice and tossing a fair coin nineteen times. Assume that all the tosses and rolls are independent.
The chance that the total number of heads in all the coin tosses equals 9 is(Q)_____ , and the chance that the total number of spots showing in all the die rolls equals 9 is(Q)__________ The number of heads in all the tosses of the coin plus the total number of times the die lands with an even number of spots showing on top (Q)______(Choose A~E)
a. has a Binomial distribution with n=31 and p=50%
b. does not have a Binomial distribution
c. has a Binomial distribution with n=21 and p=50%
d. has a Binomial distribution with n=21 and p=1/6
e. has a Binomial distribution with n=31 and p=1/6
Answer:
Hence the correct option is option c has a Binomial distribution with n=21 and p=50%.
Step-by-step explanation:
1)
A coin is tossed 19 times,
P(Head)=0.5
P(Tail)=0.5
We have to find the probability of a total number of heads in all the coin tosses equals 9.
This can be solved using the binomial distribution. For binomial distribution,
P(X=x)=C(n,x)px(1-p)n-x
where n is the number of trials, x is the number of successes, p is the probability of success, C(n,x) is a number of ways of choosing x from n.
P(X=9)=C(19,9)(0.5)9(0.5)10
P(X=9)=0.1762
2)
A fair die is rolled twice.
Total number of outcomes=36
Possibilities of getting sum as 9
S9={(3,6),(4,5)(5,4),(6,3)}
The total number of spots showing in all the die rolls equals 9 =4/36=0.1111
3)
The event of getting a good number of spots on a die roll is actually no different from the event of heads on a coin toss since the probability of a good number of spots is 3/6 = 1/2, which is additionally the probability of heads. the entire number of heads altogether the tosses of the coin plus the entire number of times the die lands with a good number of spots has an equivalent distribution because the total number of heads in 19+2= 21 tosses of the coin. The distribution is binomial with n=21 and p=50%.
There are 6 people named A,B,C,D,E,F. The people named A,B, and C are all over the age of 40. The people named D,E,F are all under the age of 40. How many different orders are there for the people to sit on a bench, if both ends of the bench must be occupied by someone over the age of 40?
o the area of a rhombus is 24m²
and one of its diagonals 18cm find
the side of the rhombus
Area of rhombus = 1/2 × d1 × d2
Let the other diagonal be x
ATQ
1/2 × 18 × x = 24
9 × x = 24
x = 24/9
x = 8/3
Now half each diagonal = 9 and 4/3
Now side = b² + p² = h²
9²+(4/3)² = h²
81 + 16/9 = h²
729/9 + 16/9 = h²
745/9 = h²
√(745/9) = h
Therefore the side of the rhombus is √(745/9)cm
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A tank is filled at a constant rate. 10 minutes after filling is started, the tank contains 4.8L of water. After 35 minutes the tank contains 7.3L of water.
a. Find the rate at which the tank is being filled?
b. Find the initial volume of fluid in the tank and express it as a function in terms of V and t.
c. Find how long it takes to filled, if the tank has a maximum capacity of 60L?
Answer:
Part A)
0.1 liters per minute.
Part B)
There was initially 3.8 liters of water.
[tex]\displaystyle V(t) = 0.1(t - 10) + 4.8[/tex]
Part C)
562 minutes.
Step-by-step explanation:
A tank is filled at a constant rate. After 10 minutes, the tank contains 4.8 L of water and after 35 minutes, the tank contains 7.3 L of water.
Part A)
We can represent the current data with two points: (10, 4.8) and (35, 7.3). The x-coordinate is measured in minutes since the tank began to be filled and the y-coordinate is measured in how full the tank is in liters.
To find the rate at which the tank is being filled, find the slope between the two points:
[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(7.3)-(4.8)}{(35)-(10)} = \frac{2.5}{25} = 0.1[/tex]
In other words, the rate at which the tank is being filled is 0.1 liters per minute.
Part B)
To find the function of the volume of the tank, we can use the point-slope form to first find its equation:
[tex]\displaystyle y - y_1 = m( x - x_1)[/tex]
Where m is the slope/rate of change and (x₁, y₁) is a point.
We will substitute 0.1 for m and let (10, 4.8) be the point. Hence:
[tex]\displaystyle y - (4.8) = 0.1(x - 10)[/tex]
Simplify:
[tex]\displaystyle y = 0.1(x-10) + 4.8[/tex]
Since y represent how full the tank is and x represent the time in minutes since the tank began to be filled, we can substitute y for V(t) and x for t. Thus, our function is:
[tex]\displaystyle V(t) = 0.1(t - 10) + 4.8[/tex]
The initial volume is when t = 0. Evaluate:
[tex]\displaystyle V(0) = 0.1 ((0) - 10) + 4.8 = 3.8[/tex]
There was initially 3.8 liters of water.
Part C)
To find how long it will take for the tank to be completely filled given its maximum capacity of 60 liters, we can let V(t) = 60 and solve for t. Hence:
[tex]60 = 0.1(t - 10) + 4.8[/tex]
Subtract:
[tex]55.2 = 0.1(t - 10)[/tex]
Divide:
[tex]552 = t - 10[/tex]
Add. Therefore:
[tex]t = 562\text{ minutes}[/tex]
It will take 562 minutes for the tank to be completely filled.