Answer:
9b /a^5/2
Step-by-step explanation:
9√(a^-5 b^2)
9 sqrt( a^ -5 b^2)
Rewriting sqrt as ^1/2
9 ( a^ -5 b^2)^1/2
9 ( a^ -5) ^1/2 ( b^2)^1/2
we know that an exponent to an exponent means multiply
9 a^ (-5*1/2) b^(2*1/2)
9 a^-5/2 b^1
9b a^ -5/2
We know that x^-y = 1/x^y
9b /a^5/2
Answer:
[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex] should be the answer of the problem that you posted
if you try to solve using [tex]\sqrt{x}[/tex] as as [tex]x^{\frac{1}{2} }[/tex]
then [tex](a^{-5)} ^{\frac{1}{2} } \\[/tex] = [tex](a^{-5/2)}[/tex] = [tex]\frac{1}{a^{\frac{5}{2} } }[/tex]
[tex]\frac{1}{a^{\frac{5}{2} } }[/tex] * 9b = [tex]\frac{9b}{a^{\frac{5}{2 } } }[/tex]
Step-by-step explanation:
[tex]9 \sqrt{(a^-5 b^2)}[/tex]
[tex]x^{-1} = \frac{1}{x}[/tex]
[tex]a^{-5} = \frac{1}{a^{5} }[/tex]
[tex]\sqrt{b^{2} } = b[/tex]
[tex]a^{4}[/tex] a's can be removed from the radicle (one will be left in because you have a^5)
[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex]
Prove the given statement below. Please
Answer:
Step-by-step explanation:
You need to know all the angle properties. Hope this helps
Answered by G a u t h m a t h
0.3 (4 - x) =x - 1.4
Answer:
x = 2
Step-by-step explanation:
0.3 (4 - x) = x - 1.4
1.2 - 0.3x = x - 1.4
-0.3x - x = -1.4 - 1.2
-1.3x = -2.6
x = 2
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} 0,3(4-x)=x-1,4 \\\\1,2-0,3x=x-1,4 \\\\x+0,3x=1,2+1,4\\\\1,3x=2,6 \\\\\underline{x=2 \ \ \ \ \ \ \ } \\\\0,3(4-2)=2-1,4 \\\\2\cdot 0,3=0,6 \\\\0,6=0,6[/tex]
Use the first five terms of the binomial theorem to approximate (-1.4)^8
Answer:
14.75789056
Step-by-step explanation:
I think so...
The first five terms of the binomial theorem to approximate (-1.4)⁸ answer would be 14.056.
What is the Binomial Theorem?The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.
According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,
(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ
where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.
Given expression as (- 1.4)⁸
as a result, if you have raised a negative integer to an even power, the response will be positive.
Eliminating the negative sign.
⇒ (1.4)⁸ = (1+0.4)⁸
⇒ 1⁸+8*1⁷*0.4+28*1⁶*0.4²+56*1⁵*0.4³+70*1⁴*0.4⁴
⇒ 1+3.2+4.48+3.584+1.792
⇒ 14.056
If we used one more term we would get 14.62944
Learn more about the binomial theorem here:
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Emma earns a $39,000 salary in the first year of her career. Each year, she gets a 5% raise. How much does Emma earn in total in the first 11 years of her career?
Answer:
554,000
Step-by-step explanation:
that is the answer
Emma earns $554,064.80 in total in the first 11 years of her career
We are to determine the future value of $39,000 each year for 11 years given the growth rate of 5%
The formula for calculating future value:
FV = P (1 + r)^n
Where :
FV = Future value
P = Present value
R = interest rate
N = number of years
First year = $39,000
Second year = 39,000 x (1.05) = $40,950
Third year = 39,000 x (1.05)^2 = $42,997.50
Fourth year = 39,000 x (1.05)^3 = $45,147.38
Fifth year = 39,000 x (1.05)^4 = $47,404.75
Sixth year = 39,000 x (1.05)^5 = $49,774.99
seventh year = 39,000 x (1.05)^6 = $52,263.74
eighth year = 39,000 x (1.05)^7 = $54,876.93
ninth year = 39,000 x (1.05)^8 = $57,620.78
tenth year = 39,000 x (1.05)^9 = $60,501.82
eleventh year = 39,000 x (1.05)^10 = $63,526.91
Sum of the earnings for the first eleven years = $554,064.80
To learn more about the future value of income, please check : https://brainly.com/question/19407218?referrer=searchResults
I NEEDDDDD HELPPPP ITS URGENTTTT!!!!!!!
Answer:
r=7, Center:(4,8)
Step-by-step explanation:
( x - h )^2 + ( y - k )^2 = r^2 is the general formula for circle where radius is square root of r^2 and the center is (h,k).
Before soccer practice, Laura warms up by jogging around the outside of the entire soccer field. The field measures 80 meters by 120 meters.
is 23/17 a rational number?
Answer:
rational number
Step-by-step explanation:
a rational number can be written as a/b where a and b are integers
23/17 = a/b where a = 23 and b = 17
This is a rational number
Plane R and Plane U intersect at which of the following?
Answer:
do you have any images with the questions?
Step-by-step explanation:
worth 10pts if someone can help!
Answer:
y=-x
I found the points then simplified it down
Answer:
hmm maybe trying using 2y=5x-2
Step-by-step explanation:
how i came to this was just looking at point y which was just 2 and then since point x was at 5,-2 all i did was simply it into 2y=5x-2
maybe that's the answer if it is can i get brainlist ?! pretty please if not let me know so i can see what i got wrong
Find the cross product (7,9, 6)x 44, 1, 5). Is the resulting vector perpendicular to the given vectors?
a. (-57, 43, 33); yes
c. (33. – 59, - 57); no
b. (39, – 59,43), yes
d. (33, - 57, 49); no
Answer:
Option B, (39, -59, 43)
Answered by GAUTHMATH
Which of the following models the rising population of a city with 8,000 residents when the annual growth rate is 4%?
Answer:
P = 8000[tex](1 + .04)^{t}[/tex] where t is the number of years
Step-by-step explanation:
Find the value of each measure.
The two congruent base angles tell us that this is an isosceles triangle, meaning the triangle has two congruent sides. Therefore, we can set these two expressions equal to each other and solve from there.
15x + 7 = 23x - 17
7 = 8x - 17
8x = 24
x = 3
Side = 15(3) + 7 = 45 + 7 = 52
Hope this helps!
What is the expected number of tails when a fair coin is tossed 100 times?
Answer:
50 times
Step-by-step explanation:
Assuming a fair coin (probability of heads = 1/2), the expected number of heads (in the sense of mathematical expectations) is 100*1/2 = 50.
Please help me answer it right
Answer: B
Step-by-step explanation:
3/4 x 4/4 = 12/16
Answer:
12/16
Step-by-step explanation:
16 is a multiple of 4, so using the scale factor of 16 and 4, you can solve to find the numerator.
16 / 4 = 4
3 × 4 = 12
The answer is 12/16.
Hope this helps.
sin 0= 20/29. Find tan 0.
Answer: D) 20/21
Explanation:
Recall that sin(theta) = opposite/hypotenuse.
sin(theta) = 20/29 tells us that 20 is the vertical side while 29 is the hypotenuse. Note how the vertical side is opposite the reference angle theta.
Use these two sides to find that the missing side is 21. You'll need the pythagorean theorem a^2+b^2 = c^2.
Once you determine that the adjacent side is 21 units long, we can then say,
tan(theta) = opposite/adjacent = 20/21
Answer:
D. 20/21
Step-by-step explanation:
If patient's current ledger balance is $238.00, the patient's fees for today are $117 and the patient paid $100.00 today, what is the patient's new balance:
Answer:
$138
but if the 117 was paid it would be $21
Step-by-step explanation:
The patient's new balance is $255
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Patient's current ledger balance = $238.00
The patient's fees for today = $117
The patient paid $100.00 today
Now, balance including todays pay= $238.00+$117
=$355
Patient payed 100 so,
=355-100
=255
Therefore, the answer of this algebraic problem will be $255
More about the Algebra link is given below.
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a teacher had 23 pupils to her class. all but 7 of them went on an excursion trip and thus were away for the day. how many students remains in the class that day.
Answer:
16
Step-by-step explanation:
If the teacher had 23 but then 7 had to go away for a trip, then all you do is subtract 23 and 7:
23-7= 16
Thus, the teacher had 16 students that day after the 7 went away.
help me please its confusing pleasee
Answer:
a) -8x³+x²+6x
d) 16x²-9
Step-by-step explanation:
a) -2x(x+4x²)+3(x²+2x)
Expand each bracket:
-2x(x+4x²)
As the -2x is on the outside of the bracket, you have to times everything inside the bracket by -2x.
-2x times x equals -2x²
-2x times 4x² equals -8x³
Then we expand the other bracket:
3(x²+2x)
3 times x² equals 3x²
3 times 2x equals 6x
We then put all of it together:
-2x²-8x³+3x²+6x
Collect like terms:
-8x³+x²+6x
b) (4x-3)(4x+3)
We will use the FOIL method:
F-First
O-outer
I-Inner
L-Last
Times the first two terms in each bracket:
4x times 4x equals 16x²
Times the outer terms in the bracket:
4x times 3 equals 12x
Times the inside terms in the bracket:
-3 times 4x equals -12x
Times the last terms in the bracket:
-3 times 3 equals -9
Put it together:
16x²+12x-12x-9
The 12x and -12x cancel out to leave 16x²-9
Hope this helps :)
1.
Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.
A. exponential; y = –6 • 1.5x
B. quadratic; y = –x2
C. exponential; y = 6 • 2.5x
D. linear; y = –3x – 6
Answer:
D. linear; y = –3x – 6
B. quadratic; y = –x2
Step-by-step explanation:
Let
A (0,-2) B (1,-3) C (2,-4) D ( 3,-5) E (4,-6)
using a graph tool
see the attached figure N 1
case a) exponential
see the attached figure N 2
case b) quadratic
see the attached figure N 3
case c) linear
see the attached figure N 4
case d) linear
see the attached figure N 5
therefore
the answer is
the case c) linear
...............................................................................................................................................
Answer:
For the first part
What type of function best models the data in the graph?
✔ quadratic
y = 0.433x2 for the second part.
...............................................................................................................................................
Answer:
Option (2).
Step-by-step explanation:
From the figure attached,
Since there is a common difference in each successive term and previous term of y,
= -3
= -3
Therefore, this data represents a linear equation.
Now we choose two points from the table given.
Let the points are (0, -6) and (1, -9)
Slope of this line 'm' =
m = = -3
Y-intercept 'b' = -6
Equation of the line will be,
y = -3x - 6
Option (2) will be the answer.
SOMEONE PLEASE HELP ME!!!
Answer:
31.8
Step-by-step explanation:
side AD : side EH
13 : 46
side BC : side FG
9 : x
these ratios work because these are similar quadrilaterals and their sides correlates when the figures are rotated to match the other figure's position.
13/46 = 9/x
x = 31.846
x = approx. 31.8
Answer:
FG = 31.8
Step-by-step explanation:
[tex]\frac{13}{46} = \frac{9}{x}[/tex]
13x = 46 * 9
13x = 414
x = 31.8
help me with this math question
Answer: $89.27
Step-by-step explanation:
I added everything together than to find the tax I multiples the total amount by .13 or %13 and once I got that number and I added it to the total cost.
please help
solve (4-w)(5w+3)=0
Answer:
4=w w = -3/5
Step-by-step explanation:
(4-w)(5w+3)=0
Using the zero product property
4-w = 0 5w+3 =0
4 =w 5w= -3
4=w w = -3/5
Answer:
4 & -3/5
Step-by-step explanation:
the "trick" is to set each factor = to zero
4-w = 0
w = 4
~~~~~~~~~~~
5w + 3 = 0
5w = -3
w=-3/5
What's 672 divided by 32
You want to make a nut mix that has almonds, cashews, and peanuts. Almonds cost $7 per pound, cashews are $5 per pound, and peanuts are $2 per pound. If you want to make a 10 pound mix with a $20 budget find the possible mix combinations of almonds, cashews, and peanuts. How many pounds of almonds should you use
Answer and explanation:
Assume Almond is a
Cashew is c
Peanuts is p
The system of equations satisfies this thus:
a+c+p= 10
7a+5c+2p= $20
The system of equations has three unknowns. Solving for the unknown variables here would yield parametric equations or dependent system where given x y z we may find x in terms of y and z in terms of x, in that form. This would give many results for our problem which may not be very accurate.
7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?
a. l = 9.00 cm, w = 4.67 cm c. l = 1.00 cm, w = 42.00 cm
b. l = 5.00 cm, w = 8.40 cm d. l = 6.48 cm, w = 6.48 cm
8. The minimum perimeter occurs when the rectangle is a _____.
a. quadrilateral c. parallelogram
b. triangle d. square
9514 1404 393
Answer:
7. d. l = 6.48 cm, w = 6.48 cm
8. d. square
Step-by-step explanation:
For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.
__
7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.
__
8. In light of the above, the shape is a square.
_____
The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.
Ratio And Rates. Each ratio or rate needs to be a fraction in simples terms 1. 30 ft. To 60.Ft 2. 51 males to 21 females 3. 1,500 meters in 6 seconds 4. $36 for 4 rounds of shrimp
Given:
The ratio and rates:
1. 30 ft. To 60.Ft
2. 51 males to 21 females
3. 1,500 meters in 6 seconds
4. $36 for 4 rounds of shrimp
To find:
The fraction in simple terms for the given ratio and rates.
Solution:
1. 30 ft. To 60.Ft
[tex]\dfrac{30\text{ ft}}{60\text{ ft}}=\dfrac{1}{2}[/tex]
2. 51 males to 21 females
[tex]\dfrac{51}{21}=\dfrac{17}{7}[/tex]
3. 1,500 meters in 6 seconds
[tex]\dfrac{1500\text{ meters}}{6\text{ seconds}}=250\text{ meter/second}[/tex]
4. $36 for 4 rounds of shrimp
[tex]\dfrac{\$ 36}{4}=\$ 9\text{ per round of shrimp}[/tex]
Use the graph that shows the solution to f(x) = g(x).
f(x) = 1+2x/x
g(x) = 2+x
What is the solution to f(x) = g(x)?
Select each correct answer:
X = -2
X = -1
X = 1
X = 2
Answer:
B and C
Step-by-step explanation:
The equation intersects each other at x=-1 and x=1
(c) 63 divided by 3 = 21 , Show how you use this to work out 0.63 divided by 0.3.
Answer:
0.63 ÷ 0.3 = 63 x 10^-2 ÷ 3 x 10^-1 = 63 / 3 x 10^(-2--1) = 21 x 10^-1 = 2.1
Answer:
2.1.
Step-by-step explanation:
63/3 = 21
0.63 = 63 / 100
and 0.3 = 3 / 10
so 0.63/0.3 = 63 /100 / 3/10 = 63/100 * 10/3
= 63/3 / 10
So the answer is 21 / 10 = 2.1.
Can someone help me on this please
The choices :
Three
B , E , D
answer please and no links .....thank you
Answer:
8,3,-1,3,15
Step-by-step explanation:
y=x^2-1
y(-3)=8
y(-2)=3
y(0)=-1
y(2)=3
y(4)=15
