Answer:
a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n
b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n
c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n
Step-by-step explanation:
They are all arithmetic progressions (AP) with a common difference, i.e. all differences of one term from the subsequent term are identical.
The general formula is
T(n) = T(0)+n*D
where
n = the term number
T(n) = nth term (considering the first term to be the zeroth term.
D = common difference
a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n
b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n
c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n
Trivikram jogs from one end of corniche to its other end on a straight 300 m road in 2 minutes 50 seconds and then turns around and jogs 100 m back on same track in another 1 minute. What is his average speed and velocity?
Answer:
1.76m/s ; 1.76m/s ; 1.74m/s, 0.86m/s
Step-by-step explanation:
Given the following :
Distance jogged in first direction (A to B) = 300m
Time taken = 2 minutes 50s = (2*60) + 50 = 120 + 50 = 170s
Distance jogged in opposite direction (B to C) = 100m
Time taken = 1minute = 60s
Recall:
Speed = distance / time
Therefore Average speed from A to B
Average speed = 300m/ 170s = 1.764 = 1.76m/s
Average Velocity = Displacement / time
Displacement = 300m ; time = 170s
= 300m / 170s = 1.76m/s
Average speed (A to C)
Therefore, average speed = total distance / total time taken
Total distance = (300 + 100)m = 400m
Total time taken = (170 + 60)s = 230s
Average speed = 400m / 230s
= 1.739m/s = 1.74m/s
Average velocity:
Displacement = distance between initials position and final position.
Initial distance covered = 300m. Then 100m was jogged in the opposite direction.
Distance between starting and ending positions, becomes : (300 - 100)m = 200m
200 / 230 = 0.87m/s
convert 1000110binary into decimal number system
Answer:
70₁₀Step-by-step explanation:
In order to convert a binary number into a decimal, it is expanded in the power of 2. Then, by simplifying the expanded form of the binary number, we obtain a decimal number.
Let's solve:
[tex]1000110[/tex]
[tex] = 1 \times {2}^{6} + 0 \times {2}^{5} + 0 \times {2}^{4} + 0 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 \times {2}^{0} [/tex]
[tex] = 1 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 1 \times 4 + 1 \times 2 \times 0 \times 1[/tex]
[tex] = 64 + 0 + 0 + 0 + 4 + 2 + 0[/tex]
[tex] = 70[/tex]₁₀
Hope I helped!
Best regards!!
Bruhhh I need help dude !!!
Answer:
(B), in which the first two values are 2 and 10.
Step-by-step explanation:
We can tell that this is a proportional relationship because we can examine the numbers in there.
(2,10)
(4,20)
and (6,30).
If you notice, the x value times 5 gets us the y value for every single point there.
Therefore, B is proportional and it's equation is y = 5x.
Hope this helped!
Answer:
B.
Step-by-step explanation:
B. Is the only one that proportional because,
(2,10)
(4,20)
(6,30)
All these x values multiply by 5 to get the y value.
So the equation is y = 5x meaning it is linear and it goes through the origin which makes it proportional.
Thus,
answer choice B is correct.
Hope this helps :)
I need help ASAP thank you!! Sorry if you can’t see it but you can zoom in:)
Answer:
432 aquariums
Step-by-step explanation:
To determine the number of aquariums the factory made, find the volume of 1 aquarium, then divide the total volume of water required.
Solution:
Volume of triangular prism aquarium = triangular base area × length of triangular prism
Volume = ½*b*h*l
Where,
b = 8 ft
h = 4 ft
l = 3 ft
Volume = ½*8*4*3 = 4*4*3
Volume = 48 ft³
Number of aquarium made = Volume of water required ÷ volume of 1 aquarium
= 20,736 ÷ 48 = 432 aquariums
32x - 12.8 simplify plz
Answer:
Length = 8x - 3.2
Step-by-step explanation:
Perimeter = 4(Length) [Since it's a square so all the sides are equal]
Given that Perimeter = 32x - 12.8
32x - 12.8 = 4(Length)
Dividing both sides by 4
=> Length = [tex]\frac{4(8x-3.2)}{4}[/tex]
=> Length = 8x - 3.2
Now, Three equivalent expressions to find the perimeter
=> Perimeter = 32x - 12.8
=> Perimeter = 4(8x - 3.2) [Perimeter = 4 (Length)]
=> Perimeter = 2(16x - 6.4)
Answer:
[tex]\boxed{8x-3.2}[/tex]
Step-by-step explanation:
The perimeter is 32x - 12.8 of a square.
Use formula for perimeter of a square.
[tex]P=4a[/tex]
[tex]P=perimeter\\a=side \: length[/tex]
[tex]32x - 12.8=4a[/tex]
Solve for side length.
[tex]\frac{32x - 12.8}{4} =a[/tex]
[tex]8x-3.2=a[/tex]
Three equivalent expressions for perimeter:
32x - 12.8
⇒ 8(4x - 1.6)
⇒ 4(8x - 3.2)
⇒ 2(16x - 6.4)
15 points are placed on a circle. How many triangles is it possible to form, such that their vertices will be the given points?
Answer: 445 triangles can be form with 15 dots of a circle (I hope good luck)
Step-by-step explanation:
Answer:
455
Step-by-step explanation:
There are 15 points on a circle.
We need three points to form a triangle
Therefore the number of triangles = 15 choose 3 = 15!/(3!x12!) = (15x14x13)/(3x2x1) = 5x7x13 = 455
Hence the number of triangles formed is 455
Which graph represents the solution set of the inequality
ASAP PLEASEEEE
Answer: C
Step-by-step explanation:
The open dot means its not equal to X and the placement is -14.5
identify the coefficient of x
1. 3xy³
2. xy
___
5
3. 3
___ x y
4
4. 3
___ x²y
4
Answer:
3
1/5
3/4
3/4
Step-by-step explanation:
Coefficient is a number that is always written in front of a term.
3xy^3=3
xy/5=1/5
3/4xy=3/4
3/4x^2y=3/4
Hope this helps ;) ❤❤❤
25 POINTS AND BRAINLIEST FOR THESE!
Answer:
Step-by-step explanation:
Hello,
For any function f which has an inverse function we can write
[tex]x=(f^{-1}of)(x)=(fof^{-1})(x)=f(f^{-1}(x))[/tex]
This is why, in practice, to find the inverse of f we will consider f(x) = y and we will look for x as a function of y, so we switch x and y and solve for y. Let's do it.
Step 1 - The function f(x) can be written as a variable. [tex]\boxed{y}=f(x)[/tex]
f(x) = y = 5x + 2
Step 2 - switch the variables x <-> y
x = 5y + 2
subtract 2 to both parts of the equation
<=> x - 2 = 5y + 2 - 2 = 5y
divide by 5 both parts of the equation
[tex]<=> y=\dfrac{x-2}{5}[/tex]
It means that the inverse of f is as below.
[tex]\boxed{ \ f^{-1}(x)=\dfrac{x-2}{5}\ }[/tex]
Step 3 - Find the inverse of g(x)
We already found that the inverse of f is g, so the inverse of g is f.
Let's do it again.
[tex]g(x)=y=\dfrac{x-2}{5} \ \ \text{ switch x and y } \\ \\ x= \dfrac{y-2}{5} \ \ \text{ solve for y }\\ \\ y-2=5x \ \ \text{ mulitply by 5 both parts of the equation } \\ \\ y = 5x+2 \ \ \text{ add 2 to both parts of the equation }[/tex]
And we found what we already known, meaning f is the inverse of g.
[tex](gof)(x)=(fog)(x)=x[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answers and Step-by-step explanation:
Step 1:
We want to find the variable that ff(x) represents. Well, we know it can't be x because we already have x on the other side of the equation: ff(x) = 5x + 2.
So, ff(x) must equal y.
Since ff(x) = y, we know then that ff(x) = y = 5x + 2. And our equation is:
y = 5x + 2
Step 2:
Let's switch the variables now. This means that what used to be y will be x and what used to be x will be y:
y = 5x + 2 ⇒ x = 5y + 2
Subtract 2 from both sides:
5y = x - 2
Divide by 5 from both sides:
y = (x - 2)/5
Step 3:
Let's find the inverse of g(x) by doing the exact same thing as we did with ff(x):
g(x) = y = (x - 2)/5
Switch the variables:
y = (x - 2)/5 ⇒ x = (y - 2)/5
Multiply by 5 on both sides:
5x = y - 2
Add 2 to both sides:
y = 5x + 2
Notice that this is the exact same as ff(x)! This means that ff(x) and g(x) are inverses.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
w²-30w+210=0
Step-by-step explanation:
2w + 2l = 60 , w + l = 30, l = 30 - w
wl = 210
w(30-w) -210 = 0
30w - w²-210 = 0
w²-30w+210=0
PLEASE HELP ME! Please do not comment nonsense, and actually comment the answer and the solution.
=================================================
Explanation:
For choice C, the x values are out of order, so it might be tricky at first. I recommend sorting the x values from smallest to largest to get -2, -1, 0, 1, 2. Do the same for the y values as well. Make sure the correct y values stay with their x value pairs. You should get the list of y values to be 4, 2, 1, 1/2, 1/4
Check out the attached image below for the sorted table I'm referring to
We can see the list of y values is going down as x increases. This is a good sign we have decay. Further proof is that we multiply each term by 1/2 to get the next one
4 times 1/2 = 2
2 times 1/2 = 1
1 times 1/2 = 1/2
1/2 times 1/2 = 1/4
and so on. Effectively we can say the decay rate is 50%
The triangles are congruent by the SSS congruence theorem. Triangles F G H and V W X are shown. Triangle F G H is rotated about point G and then is shifted to the right to form triangle V W X. Which rigid transformation(s) can map TriangleFGH onto TriangleVWX? reflection, then rotation reflection, then translation rotation, then translation rotation, then dilation
Answer:
C. rotation, then translation
Step-by-step explanation:
edge 2021
I think it's C "rotation, then translation"
not 100% sure so check other answers too
3. Callum rolled a single six sided die 12 times and it landed on a six, three of the times. The probability that it will land on a six on the 13th roll is?
Answer:
1/6
Step-by-step explanation:
Each roll is independent. So the probability of rolling a six is 1/6, regardless of the previous rolls.
Find the area of the shaded region
Answer:
[tex] \mathsf{ {5x}^{2} + 28x + 21}[/tex]
Option A is the right option.
Step-by-step explanation:
Let's find the area of large rectangle:
[tex] \mathsf{(3x + 6)(2x + 4)}[/tex]
Multiply each term in the first parentheses by each term in the second parentheses
[tex] \mathsf{ = 3x(2x + 4) + 6(2x + 4)}[/tex]
Calculate the product
[tex] \mathsf{ = 6 {x}^{2} + 12x + 12x + 6 \times 4}[/tex]
Multiply the numbers
[tex] \mathsf{ = 6 {x}^{2} + 12x + 12x + 24}[/tex]
Collect like terms
[tex] \mathsf{ = {6x}^{2} + 24x + 24}[/tex]
Let's find the area of small rectangle
[tex] \mathsf{(x - 3)(x - 1)}[/tex]
Multiply each term in the first parentheses by each term in the second parentheses
[tex] \mathsf{ = x( x - 1) - 3(x - 1)}[/tex]
Calculate the product
[tex] \mathsf{ = {x}^{2} - x - 3x - 3 \times ( - 1)}[/tex]
Multiply the numbers
[tex] \mathsf{ = {x}^{2} - x - 3x + 3}[/tex]
Collect like terms
[tex] \mathsf{ = {x}^{2} - 4x + 3}[/tex]
Now, let's find the area of shaded region:
Area of large rectangle - Area of smaller rectangle
[tex] \mathsf{6 {x}^{2} + 24x + 24 - ( {x}^{2} - 4x + 3)}[/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
[tex] \mathsf{ = {6x}^{2} + 24x + 24 - {x}^{2} + 4x - 3}[/tex]
Collect like terms
[tex] \mathsf{ = {5x}^{2} + 28x + 21}[/tex]
Hope I helped!
Best regards!
I need this done help!!
Answer:
Because the triangle is isosceles, the base angles are congruent, meaning that the angles that are not right angles are x and x. Since the sum of angles in a triangle is 180°, we can write:
90 + x + x = 180
x + x = 90
2x = 90
x = 45°
Answer:
45 degrees
Step-by-step explanation:
This triangle is "isosceles..." two legs are equal. Thus, the triangle has two 45 degree angles. The indicated angle is 45 degreees.
A standard deck of of 52 playing cards contains 13 cards in each of four suits : diamonds, hearts , clubs and spades. Two cards are chosen from the deck at random.
Answer:
Probability of (one club and one heart) = 0.1275 (Approx)
Step-by-step explanation:
Given:
Total number of cards = 52
Each suits = 13
FInd:
Probability of (one club and one heart)
Computation:
Probability of one club = 13 / 52
Probability of one heart = 13 / 51
Probability of (one club and one heart) = 2 [(13/52)(13/51)]
Probability of (one club and one heart) = 0.1275 (Approx)
Answer:
D. 0.1275
Step-by-step explanation:
Justo took the Pre-Test on Edg (2020-2021)!!
For what values of the following expressions are true: |a−5|=5−a
Answer:
Whenever a-5<0 or a<5
Step-by-step explanation:
So if you have an absolute value, that turns into two equations. The one we care about is -(a-5)=5-a. After distributing the negative through the left side of the equation, you'll get that 5-a=5-a, which is an identity. But you can only say that abs(a-5)=5-a when a-5<0. To see a visual representation of this, graph both sides of the equation in desmos.
Given the sequence 38, 32, 26, 20, 14, ..., find the explicit formula.
Answer:
The explicit formula for the sequence is
44 - 6nStep-by-step explanation:
The above sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 38
d = 32 - 38 = - 6 or 20 - 26 = - 6 or
14 - 20 = - 6
So the formula for the sequence is
A(n) = 38 + ( n - 1)-6
= 38 - 6n + 6
We have the final answer as
A(n) = 44 - 6nHope this helps you
Answer:
[tex]\huge\boxed{a_n=-6n+44}[/tex]
Step-by-step explanation:
This is an arithmetic sequence:
32 - 38 = -6
26 - 32 = -6
20 - 26 = -6
14 - 20 = -6
The common difference d = -6.
The explicit formula of an arithmetic formula:
[tex]a_n=a_1+(n-1)(d)[/tex]
Substitute:
[tex]a_1=38;\ d=-6[/tex]
[tex]a_n=38+(n-1)(-6)[/tex] use the distributive property
[tex]a_n=38+(n)(-6)+(-1)(-6)\\\\a_n=38-6n+6\\\\a_n=-6n+(38+6)\\\\a_n=-6n+44[/tex]
4) Flying to Tahiti with a tailwind a plane averaged 259 km/h. On the return trip the plane only
averaged 211 km/h while flying back into the same wind. Find the speed of the wind and the
speed of the plane in still air.
A) Plane: 348 km/h, Wind: 37 km/h B) Plane: 243 km/h, Wind: 30 km/h
C) Plane: 235 km/h, Wind: 24 km/h D) Plane: 226 km/h, Wind: 13 km/h
fundraiser Customers can buy annle nies and
Answer: C) Plane: 235 km/h, Wind: 24 km/h
Step-by-step explanation:
Given that :
Average Speed while flying with a tailwind = 259km/hr
Return trip = 211km/hr
Let the speed of airplane = a, and wind speed = w
Therefore ;
Average Speed while flying with a tailwind = 259km/hr
a + w = 259 - - - (1)
Return trip = 211km/hr
a - w = 211 - - - (2)
From (2)
a = 211 + w
Substitute the value of a into (1)
a + w = 259
211 + w + w = 259
211 + 2w = 259
2w = 259 - 211
2w = 48
w = 48/2
w = 24km = windspeed
Substituting w = 24 into (2)
a - 24 = 211
a = 211 + 24
a = 235km = speed of airplane
Factorize a² +3ab - 5ab - 15b².
Answer:
[tex]a^2+3\,a\,b-5\,a\,b-15\,b^2=(a-5\,b)\,(a+3\,b)[/tex]
Step-by-step explanation:
Work via factoring by groups:
!) re arrange the terms as follows:
[tex]a^2-5ab+3ab-15b^2[/tex]
then extract the common factor for the first two terms (a), and separately the common factors for the last two terms (3 b):
[tex]a^2-5ab+3ab-15b^2\\a\,(a-5\,b)+3\,b\,(a-5\,b)[/tex]
Now notice that the binomial factor (a-5 b) is in both expressions, so extract it:
[tex]a\,(a-5\,b)+3\,b\,(a-5\,b)\\(a-5\,b)\,(a+3\,b)[/tex]
which is the final factorization.
Answer:
[tex] \boxed{\sf (a + 3b)(a - 5b)} [/tex]
Step-by-step explanation:
[tex] \sf Factor \: the \: following: \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf Grouping \: like \: terms, \\ \sf {a}^{2} + 3ab - 5ab - 15 {b}^{2} = {a}^{2} + (3ab - 5ab) - 15 {b}^{2} : \\ \sf \implies {a}^{2} + (3ab - 5ab) - 15 {b}^{2} \\ \\ \sf 3ab - 5ab = - 2ab : \\ \sf \implies {a}^{2} - 2ab - 15 {b}^{2} \\ \\ \sf The \: factors \: of \: - 15 \: that \: sum \: to \: - 2 \: are \: 3 \: and \: - 5. \\ \\ \sf So, \\ \sf \implies {a}^{2} + (3 - 5)ab - 15 {b}^{2} \\ \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf \implies a(a + 3b) - 5b(a + 3b) \\ \\ \sf \implies (a + 3b)(a - 5b)[/tex]
Drag each tile to the correct box.
Three geometric sequences are given below.
Sequence A: 160, 40, 10, 2.5,
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27,
Order the sequences from least common ratio to greatest common ratio.
Sequence A
Sequence C
Sequence B
Answer:
Sequence B, Sequence A, Sequence C
Step-by-step explanation:
Data obtained from the question include the following:
Sequence A: 160, 40, 10, 2.5,
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27
Next, we shall determine the common ratio of each sequence. This is illustrated below:
Common ratio (r) is simply obtained by dividing the 2nd term (T2) by the 1st term (T1) or by dividing the 3rd term (T3) by the 2nd term (T2). Mathematically, it is expressed as:
r = T2/T1 = T3/T2
For sequence A:
160, 40, 10, 2.5
2nd term (T2) = 40
Ist term (T1) = 160
Common ratio (r) =..?
r = T2/T1
r = 40/160
r = 1/4
r = 0.25
Therefore, the common ratio is 0.25.
For sequence B:
-21, 63, -189, 567
2nd term (T2) = 63
Ist term (T1) = -21
Common ratio (r) =..?
r = T2/T1
r = 63/-21
r = - 3
Therefore, the common ratio is - 3.
For Sequence C:
8, 12, 18, 27
2nd term (T2) = 12
Ist term (T1) = 8
Common ratio (r) =..?
r = T2/T1
r = 12/8
r = 3/2
r = 1.5
Therefore, the common ratio is 1.5.
Summary:
Sequence >>>>> Common ratio
A >>>>>>>>>>>>> 0.25
B >>>>>>>>>>>>> - 3
C >>>>>>>>>>>>> 1.5
From the above illustration,
Ordering the sequence from least to greatest common ratio, we have:
Sequence B, Sequence A, Sequence C.
The triangles are similar. Solve for the missing segment.
Answer:
56
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{35+20}{20}[/tex] = [tex]\frac{32+?}{32}[/tex] ( cross- multiply )
20(32 + ?) = 1760 ( divide both sides by 20 )
32 + ? = 88 ( subtract 32 from both sides )
? = 56
Answer:
[tex]\boxed{56}[/tex]
Step-by-step explanation:
We can use ratios to solve since the triangles are similar.
[tex]\frac{20}{32} =\frac{35}{x}[/tex]
Cross multiplication.
[tex]20x=35 \times 32[/tex]
Divide both sides by 20.
[tex]\frac{20x}{20} = \frac{35 \times 32}{20}[/tex]
[tex]x=56[/tex]
What is the difference between a parallelogram and a rectangle? a Both pairs of opposite sides are congruent and parallel. b Contains four right angles. c The diagonals bisect each other. d Both pairs of opposite angles are congruent.
Answer:
b. Contains four right angles.
Step-by-step explanation:
A parallelogram has two pairs of opposite sides that are both congruent and parallel, as does a rectangle.
A parallelogram usually does NOT have four right angles, but a rectangle does. b Contains four right angles is the difference between a parallelogram and a rectangle.
The diagonals of a parallelogram bisect each other, and so do the rectangle's diagonals.
The opposite angles of parallelograms are congruent, and all four angles of a rectangle are congruent, so this is a similar aspect of both a parallelogram and a rectangle.
Hope this helps!
What the answer now hurry up and answer fast question
Answer:
927.0 cm²
Step-by-step explanation:
Step 1: find Z
m < Z = 180 - (28 + 118) (sum of ∆)
= 180 - 146
Z = 34°
Step 2: Find side XY using the law of sines
[tex] \frac{XY}{sin(34)} = \frac{42}{sin(28)} [/tex]
Cross multiply
[tex] XY*sin(28) = 42*sin(34) [/tex]
[tex]XY*0.469 = 42*0.559[/tex]
Divide both sides by 0.469
[tex]\frac{XY*0.469}{0.469} = \frac{42*0.559}{0.469}[/tex]
[tex]XY = 50.06[/tex]
XY ≈ 50 cm
Step 3: find the area.
Area of ∆ = ½*XY*YZ*sin(Y)
XY ≈ 50 cm
= ½*50*42*sin(118)
= 25*42*0.8829
Area = 927.045
Area ≈ 927.0 cm² (nearest tenth)
An electronics company designed a cardboard box for its new line of air purifiers. The figure shows the dimensions of the box.
The amount of cardboard required to make one box is___square inches.
a)130
b)111
c)109
d)84
Answer:
130
Step-by-step explanation:
just did test on plato/edmentum..it was correct
84 (the answer above) is incorrect
Answer:
Hi sorry for late respond but the answer in 130!!
Step-by-step explanation:
In the diagram, PQRT is a rhombus. STUQ and
PUR are straight lines. Find the values of x and y.
Step-by-step explanation:
since PQRT is a rhombus,
URQ=TPU
y=180-90-24=66
x=180-32-90-24=34
help me please i jave 10 min left HELP
Answer:
Option (A).
Step-by-step explanation:
[tex]8\frac{4}{5}[/tex] is a mixed fraction and can be written as,
[tex]8\frac{4}{5}=8+\frac{4}{5}[/tex] [Combination of a whole number and a fraction]
When we multiply this mixed fraction by 7,
[tex]7\times 8\frac{4}{5}=7\times (8+\frac{4}{5})[/tex]
[tex]=(7\times 8)+(7\times \frac{4}{5})[/tex] [Distributive property → a(b + c) = a×b + a×c]
[tex]=56+\frac{28}{5}[/tex]
[tex]=56+5\frac{3}{5}[/tex]
[tex]=56+5+\frac{3}{5}[/tex]
[tex]=61+\frac{3}{5}[/tex]
[tex]=61\frac{3}{5}[/tex]
Therefore, [tex]7\times 8\frac{4}{5}=61\frac{3}{5}[/tex] will be the answer.
Option (A) will be the correct option.
22.
Makes s the subject
[tex] \sqrt{p} \: is \: equals \: to \: \sqrt[r]{w \: - as ^{2}}[/tex]
Step-by-step explanation:
[tex] \sqrt{p} = \sqrt[r]{w - {as}^{2} } [/tex]
Find raise each side of the expression to the power of r
That's
[tex]( \sqrt{p} )^{r} = (\sqrt[r]{w - {as}^{2} } ) ^{r} [/tex]we have
[tex]( \sqrt{p} )^{r} = w - {as}^{2} [/tex]Send w to the left of the equation
[tex]( \sqrt{p} )^{r} - w = -{as}^{2} [/tex]Divide both sides by - a
We have
[tex] {s}^{2} = -\frac{( \sqrt{p} )^{r} - w}{a} [/tex]Find the square root of both sides
We have the final answer as
[tex]s = \sqrt{ -\frac{( \sqrt{p} )^{r} - w }{a} } [/tex]Hope this helps you
38. Convert 85 to a number in base eight.
O 95 (base eight)
O 105 (hase eight)
O 115 (base eight)
O 125 (base eight)
Answer:
divide the number by 8 and write the remainder like this 10 r 5.Then you get your answer by going through the remainders in an upward direction. So the answer is 125
Shrina is selling cookie dough for her soccer team. She sold 2 tubs of
Oatmeal Raisin and 2 tulbs of Peanut Butter.
How much money did she make?
Oatmeal Raisin
$6 a tub
$22
$24
Peanut Butter
$5 a tub
$20
$11
Answer: 22
Step-by-step explanation:
She sold two tubs of Oatmeal Raisins and it's 6 dollars a tub so we can do 6*2 or 6+6 (doesn't matter). We get $12. Then, she also sells 2 tubs of Peanut Butter, and since it's $5 a tub, then we do 5*2 or 5+5 to get 10. We add 12 and 10 (12+10) and get 22.
I'm not sure if this is right because you added $22, $24, $20, and $11 and I'm not sure what the purposes of those are.