Answer:
x=y=-2
Step-by-step explanation:
Comparing these ordered pairs, we will get
4^(1/x)=1/2 and 9^(1/y)=1/3
x=-2 and y=-2
Answer:
x = y = - 2
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex] , [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , [tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Given
[tex]\sqrt[x]{4}[/tex] = [tex]\frac{1}{2}[/tex] , then
[tex]\sqrt[x]{2^{2} }[/tex] = [tex]\frac{1}{2}[/tex]
[tex]2^{\frac{2}{x} }[/tex] = [tex]2^{-1}[/tex]
Since the bases on both sides are equal, both 2 , then equate exponents
[tex]\frac{2}{x}[/tex] = - 1 ( multiply both sides by x )
2 = - x , that is
x = - 2
Similarly
[tex]\sqrt[y]{9}[/tex] = [tex]\frac{1}{3}[/tex] , then
[tex]\sqrt[y]{3^{2} }[/tex] = [tex]\frac{1}{3}[/tex]
[tex]3^{\frac{2}{y} }[/tex] = [tex]3^{-1}[/tex]
Equating the exponents gives
[tex]\frac{2}{y}[/tex] = - 1 ⇒ - y = 2 ⇒ y = - 2
Un avión puede volar con la velocidad de 400 km por hora en atmósfera tranquila si cuando se dirige hacia el este el viento viene del Sur con la velocidad de 40 km por hora cuál es la dirección de su vuelo
Answer:
84,3 ° Sureste
Step-by-step explanation:
El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.
La dirección del avión es la dirección de la velocidad resultante.
Si esta dirección es θ
θ = tan ^ -1 (400/40)
θ = 84,3 ° Sureste
factor and solve the problem in the photo ……. pleaseeee helppppp i havent done algebra in 2 years
Answer:
Not factarable, all terms must be in x. or y
Step-by-step explanation:
Factor.
20x2 – 19x + 3
Answer:
Here is your answer!
The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.
Calculate angle PRO.
Answer:
m<PQR = 18.7°
Step-by-step explanation:
Apply the Law of Sines,
[tex] \frac{Sin A}{a} = \frac{Sin B}{b} [/tex]
Where,
Sin A = Sin 140
a = 100 m
Sin B = Sin R (<PRQ)
b = 50 m
Substitute
[tex] \frac{Sin 140}{100} = \frac{Sin R}{50} [/tex]
Cross multiply
[tex] 100*Sin(R) = 50*Sin(140) [/tex]
Divide both sides by 100
[tex] Sin(R) = \frac{50*Sin(140)}{100} [/tex]
[tex] Sin(R) = 0.32139 [/tex]
[tex] R = Sin^{-1}(0.32139) [/tex]
R ≈ 18.7° (nearest tenth)
m<PQR = 18.7°
The angle PRO is 1.7 degrees.
Given that,
The diagram shows three points P, Q, and R on horizontal ground.
PQ = 50 m, PR = 100 m and angle PQR = 140°.
We have to determine,
The angle PRO.
According to the question,
The value of angle PRO is determined by using the sin rule-following all the steps given below.
[tex]\rm \dfrac{sina}{a} = \dfrac{sinb}{b}[/tex]
Where, Sin A = Sin 140 , a = 100 m , Sin B = Sin R (<PRQ) , b = 50 m
Substitute all the values in the formula,
[tex]\rm \dfrac{sin140}{100} = \dfrac{sinR}{50}\\\\ \dfrac{0.64}{100} = \dfrac{sinR}{50}\\\\0.0064 = \dfrac{sinR}{50}\\\\0.0064 \times 50 = sinR\\\\0.321 = sinR\\\\R = sin{-1}(0.321)\\\\R = 18.7 \ degree[/tex]
Hence, The angle PRO is 1.7 degrees.
For more details refer to the link given below.
https://brainly.com/question/12895249
Find the value of x in each case:
Please help me
It's an easy 40 points if you answer this
Answer:
x = 45
Step-by-step explanation:
The angles labeled with the pink x are the same. Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.
We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180
x+x+ 2x = 180
4x= 180
4x/4 = 180/4
x = 45
A changes
16. By accident, 6 burned out bulbs have been mixed in with 16 good ones, Ken is replacing old bulbs in his house. If he selects two bulbs at random from the box of 22, what is the
probability they both work?
Answer: 8/11
Step-by-step explanation:
This is because there are a total of 22 bulbs. 16 of those bulbs work, giving us the fraction: 16/22. If you simplify 16/22 by dividing the numerator and denominator by 2, you get 8/11.
=================================================
Explanation:
There are 16 working bulbs out of 6+16 = 22 bulbs total.
The probability of randomly selecting a working bulb is 16/22
After that first bulb is selected and not put back, the probability of randomly selecting another working bulb is 15/21. Take note that I subtracted 1 from each part of the original fraction.
So we get the answer of
(16/22)*(15/21) = 240/462 = 40/77 which is choice C.
------------
Extra info:
Choice A is only true if Ken puts the first selection back. You would compute (16/22)*(16/22) = 64/121. However, it sounds like he's not doing replacement. So whatever is selected is not put back. This is why I ruled out choice A.Choice B is ruled out as well because 16/22 = 8/11 refers to the probability of one working bulb (instead of 2 in a row)It's not clear how the fraction of choice D is formed, but we can rule it out because choice C is the answer.If it takes a team of three painters to paint a 7-room house in a day, how many painters are required to paint a 14-room house in a day?
Answer: 6 Painters
Step-by-step explanation:
Total painters needed to paint 7-room house = 3 painters
Rooms painted by each painter = 3/7
Total painters needed to paint 14-room house = 3/7×14
= 42/7
= 6 painters
Therefore it will require 6 painters to paint 14-room house
please click thanks and mark brainliest if you like :)
đưa về phương trình tích: f(x)=3x^2-2x-1
f(x)=3x²+x-3x-1
=x(3x+1)-(3x+1)
=(x-1)(3x+1)
Find X round to the nearest tenth.
Answer: 83 degrees
Step-by-step explanation:
(16^2 + 8^2 - 17^2)/(2)(16)(8) = 83
HELP I NEED HELP PLS IM FAILING ITS PYTHAGOREAN THEOREM
2^2 + 2^2 = h^2
8 = h^2
√8 = h
h = 2.82mm
Answered by Gauthmath must click thanks and mark brainliest
What is the measure of m?
Answer:
12
Step-by-step explanation:
bc it is
x -12 = 14
---------------
[tex]x - 12 = 14 \\ x = 14 + 12 \\ x = 26[/tex]
it was help to you ❤︎❤︎❣︎❣︎★★★
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{x - 12 = 14}[/tex]
[tex]\huge\text{ADD 12 to BOTH SIDES}[/tex]
[tex]\huge\textsf{x - 12 + 12 = 14 + 12}[/tex]
[tex]\huge\boxed{\bullet}\huge\text{ CANCEL out: 12 - 12 because it gives}\\\huge\text{you 0}[/tex]
[tex]\huge\boxed{\bullet}\huge\text{ KEEP: 14 + 12 because it gives you}\\\huge\text{the RESULT of the x-value}[/tex]
[tex]\huge\textsf{a = 14 + 12}\\\huge\boxed{\rightarrow}\huge\textsf{ 14 + 12 = a}[/tex]
[tex]\huge\textsf{14 + 12 = \bf 26}[/tex]
[tex]\boxed{\huge\textsf{Therefore, your answer is: a = 26}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Pls answer all questions
5:-c
The 3multiples are 25,50,75
6:-c
[tex]\\ \sf\longmapsto 6\:of\:2+9-5[/tex]
[tex]\\ \sf\longmapsto 6(11-5)[/tex]
[tex]\\ \sf\longmapsto 6(6)[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
7:-a
12,17
8:-c
22=2×1188=2×2×2×11HCF=2×2×11=44
9:-c
LCM of 9 and 5 is 45 hence its true
10:-c
HCF of two consecutive numbers is 1
Evaluate the expression when a=3.
a^2 - 6a -5
Answer:
- 14
Step-by-step explanation:
a = 3
a^2 - 6a - 5
= 3^2 - 6 ( 3 ) - 5
= 9 - 18 - 5
= 9 - 23
= - 14
I can’t figure out which formula goes with which sequence. Help……. Please???
1st sequence:
1,3,9,27,….
What is the formula?
2nd sequence:
400,200,100,50,…
What is the formula?
3rd sequence:
4,8,16,32,…
What is the formula?
4th sequence:
400,100,25,6.25,…
What is the formula?
5th sequence:
1,5,25,125,…
What is the formula?
6th sequence:
1000,500,250,125,…
What is the formula?
7th sequence:
2,10,50,250
What is the formula?
I need to know the correct geometric sequence formula for each of these sequences. Thanks!!!
For a geometric sequence
a, ar, ar ², ar ³, …
the n-th term in the sequence is ar ⁿ ⁻ ¹.
The first sequence is
1, 3, 9, 27, …
so it's clear that a = 1 and r = 3, and so the n-th term is 3ⁿ ⁻ ¹.
The second sequence is
400, 200, 100, 50, …
so of course a = 400, and you can easily solve for r :
200 = 400r ==> r = 200/400 = 1/2
Then the n-th term is 400 (1/2)ⁿ ⁻ ¹.
Similarly, the other sequences are given by
3rd: … 4 × 2ⁿ ⁻ ¹
4th: … 400 (1/4)ⁿ ⁻ ¹
5th: … 5ⁿ ⁻ ¹
6th: … 1000 (1/2)ⁿ ⁻ ¹
7th: … 2 × 5ⁿ ⁻ ¹
The diagonals of a rhombus are perpendicular
Answer:
true
Step-by-step explanation:
for all of the questions
with method
thankyou
Answer:
(i) 7/10
(ii) 3/10
(iii) 1/5
(iv) Rs 40,000
Step-by-step explanation:
The fraction of the salary spent on food = 1/2
The fraction of the salary spent on rented house fee = 1/5
(i) The fraction spent for both food and rental fee = (1/2) + (1/5) = (5 + 2)/10 = 7/10
(ii) The remainder (rest) of the salary = 1 - 7/10 = 3/10
The fraction of the remainder spent for children's education = 1/3
The fraction of the total salary spent for the children's education = (1/3) × (3/10) = 1/10
(iii) The remaining portion deposited in the bank = 1 - (1/10 + 7/10)) = 2/10 = 1/5
(iv) The amount equal to portion of 1/5 of his salary deposited in the bank is Rs 8000
Let x represent his whole salary, we have;
(1/5) × x = Rs 8,000
x = 5 × Rs 8,000 = Rs 40,000
His whole salary is Rs 40,000.
The sum of two numbers is 52. One number is 3 times as large as the other. What are the numbers?
Answer:
13 and 39
Step-by-step explanation:
The sum of two numbers = 52
One number is 3 times as large as the other
Equation:
x + 3x = 52
4x = 52
52 / 4 = x
x = 13
13 * 3 = 39
The numbers are 13 and 39
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the distance between the two points.
(-5,1)
(0,0)
[?]
Enter the number that
goes beneath the
radical symbol.
Answer:
[tex]{26}[/tex]
Step-by-step explanation:
[tex] \sqrt{(0 - ( - 5) ){}^{2} + (0 - 1) {}^{2} } [/tex]
[tex] = \sqrt{ {(5)}^{2} + {( - 1)}^{2} } [/tex]
[tex] = \sqrt{25 + 1} [/tex]
[tex] = \sqrt{26} [/tex]
Answered by GAUTHMATH
Answer:
26
Step-by-step explanation:
(-5, 1) (0, 0)
sqrt(5^2 + (-1^2))
sqrt(25 + 1)
sqrt(26)
So, 26 goes under the radical.
i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have
Answer:
Step-by-step explanation:
(N)0.05 + (17-N)0.1 = M; M = amount of money I have.
Or 1.7-0.05N = M.
An expression two different ways to the amount of money is equals to
1. 5N + 10 (17 -N) = Y cents
2. N + 2(17 - N) = Y nickels
What is amount?
" Amount is defined as the total of any given quantity."
According to the question,
Total number of coins = 17
Number of nickels coins = N
Number of dimes coin = 17 - N
'Y' express the amount of money
Represent amount of money in cents
1 dime = 10 cents
1 nickel = 5 cents
Expression to represents amount of money in cents,
5N + 10 (17 -N) = Y cents
Expression to represents amount of money in nickels,
1 dime = 2 nickel
N + 2(17 - N) = Y nickels
Hence, an expression two different ways to the amount of money is equals to
1. 5N + 10 (17 -N) = Y cents
2. N + 2(17 - N) = Y nickels
Learn more about amount here
https://brainly.com/question/27337635
#SPJ3
what is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?
Answer:
this looks complicated
Step-by-step explanation:
a trader is given 15% discount on goods bought from a factory. If the original price of an item in the factory is 45000. Calculate the amount the trader paid for them
Answer:
38,250
Step-by-step explanation:
Its a 15% discount so youre only paying 85% of the original 45,000. You then multiply 45,000 by .85 to find what youre paying because the decimal version of 85% is .85. You can find the decimal version of a percentage by dividing the percentage by 100; 85/100=.85. Once you multiply 45,000 by .85 you get 38,250.
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
A. 11.7
B. 11.9
C. 11.4
D. 14.4
Answer:
Option A, 11.7
Step-by-step explanation:
To find height,
tan 68 = 26/h
h = 26/tan(68)
to find x
tan(42) = h/x
x = h/tan(42)
x = 11.7 (rounded to the nearest tenth)
Answered by GAUTHMATH
11) MZHGF = 16x + 4, m EGF = 110°,
and MZHGE = 3x + 11. Find x.
G
H
F
E
=======================================================
Explanation:
The smaller angles HGE and EGF combine to form the largest angle HGF.
This is an example of the angle addition postulate.
(angle HGE) + (angle EGF) = angle HGF
(3x+11) + (110) = 16x+4
3x+121 = 16x+4
121-4 = 16x-3x
117 = 13x
13x = 117
x = 117/13
x = 9 which is the final answer
We can stop here.
--------------------
Extra info (optional section)
Use this x value to find each angle shown below
angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degreesangle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degreesThen notice how,
(angle HGE)+(angle EGF) = 38+110 = 148
which is exactly the measure of angle HGF
This confirms that the equation
(angle HGE) + (angle EGF) = angle HGF
is true for that x value of x = 9. Therefore, the answer is confirmed.
9514 1404 393
Answer:
11) x = 9°
13) x = -12°
Step-by-step explanation:
11) ∠HGE +∠EGF = ∠HGF
(3x +11) +(110°) = (16x +4)
117° = 13x . . . . . . . . . . . . . . . subtract 3x+4, collect terms
9° = x . . . . . . . . . . . . divide by 13
__
13) ∠BCF +∠FCD = ∠BCD
(x +78) +(x +41) = 95°
2x = -24°
x = -12°
HELPP!!
What is the approximate sum of this series?
Answer:
The answer of this question is 134.83
I need help ASAP please
Answer:
it's the third one.
Step-by-step explanation:
It should be a bold/filled circle on the line instead of an empty one.
Math nation section 2
Send the question?
Must click thanks and mark brainliest
can anyone help me please ?
Basically, everything except choice A.
=========================================================
Explanation:
All exponential functions can be written into the form y = a*b^x
The b term determines if we have growth or decay.
If 0 < b < 1, then we have decay. If b > 1, then we have growth.
------------
For choice A, we have b = 1.7 which satisfies b > 1. This represents growth. So we cross choice A off the list.
Choice B looks almost identical since it appears b = 1.7 here as well, but note the negative exponent. It might help to rewrite choice B into y = 3( 1.7^(-2) )^x and note how b = (1.7)^(-2) = 0.346 approximately. This represents decay.
Choice C has b = 1/3 = 0.33 approximately which is also decay.
Finally, choice D has b = 2^(-1) = 1/(2^1) = 1/2 = 0.5 which is also decay.
Choices B through D have b values such that 0 < b < 1.
------------
Check out the graph below. It visually confirms the answers mentioned earlier. A growth function goes uphill as we move to the right, while a decay function moves downhill while moving to the right.
I used GeoGebra to make the graph.
Question Two please help
Answer:
The similarity statement is RTS and ACB. Other options are correct
need help with this!!!
Answer:
I say the fourth one just because
