Answer:
Find the exact value using trigonometric identities.
Exact Form: x=34
Decimal Form: x=0.75
Step-by-step explanation:
The value of x is 3.
What is algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Given:
[tex]9^{-1/2} = 27^{1/4}[/tex]÷[tex]3^{x +1}[/tex]
[tex][3^{2}]^{{-1/2}} = [(3)^{4}]^{1/4}[/tex] ÷[tex]3^{x +1}[/tex]
[tex]3^{-1}[/tex] = 3 ÷[tex]3^{x +1}[/tex]
[tex]3^{-1}[/tex]= [tex]\frac{3}{3^{x+1}}[/tex]
[tex]3^{-1}= 3^{1-x+1}[/tex]
[tex]3^{-1}= 3^{2-x}[/tex]
On comparing we get,
-1=2-x
x= 3
Hence, the value of x is 3.
Learn more about this algebra here:
brainly.com/question/953809
#SPJ2
Mr. Rojas spent d dollars to go on vacation. He bought a plane ticket for $250 and stayed in a hotel for 5 nights. If the cost of the hotel room was the same each night, what expression can be used to find how much Mr. Rojas paid each night for the hotel?
Answer:
x = d/5 - $50
Step-by-step explanation:
Basiclly what this sentence is saying that the price d is equal to $250 + 5 prices of staying in a hotel for a night.
If we let "x" be the price per night then we can get the following..
d = $250 + 5x
5x = d - $250
[tex]x = \frac{d - 250}{5}[/tex]
x = d/5 - $50
Which graph represents an exponential function?
Answer:
b
Step-by-step explanation:
The second graph, which represents Table B, represents an exponential function.
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
Let table A represents the first graph.
x: 0, -1, 1, 2, -2, 3, -3.
y: 0, -1, -1, -4, -4, -6, -6.
And table B represents the second graph.
x:-4, -3,-2.75, -2.
y: 2, 4, 6, 10
To determine which graph represents an exponential function, we need to recall the properties of exponential functions. An exponential function is a function of the form y = a^x, where a is a constant greater than 0 and not equal to 1.
Looking at table A, we can see that the y-values do not appear to follow an exponential pattern. For example, the y-values for x = 1 and x = -1 are both -1, but the y-value for x = 2 is -4. This is not consistent with the pattern of an exponential function.
Looking at table B, we can see that the y-values do appear to follow an exponential pattern. The y-values increase rapidly as x increases, which is consistent with the pattern of an exponential function. To confirm this, we can calculate the ratio of consecutive y-values:
For x = -4 and x = -3, y increases by a factor of 4/2 = 2.
For x = -3 and x = -2.75, y increases by a factor of 6/4 = 1.5.
For x = -2.75 and x = -2, y increases by a factor of 10/6 = 1.67.
These ratios are not exactly the same, but they are approximately equal to each other. This is consistent with the pattern of an exponential function, where the ratio of consecutive y-values is constant.
Therefore, the second graph, which represents Table B, represents an exponential function.
To learn more about the exponential function;
https://brainly.com/question/14344314
#SPJ7
Tina drew a rectangle with vertices located at (–3, –4), (–3, 7), (12, –4), and (12, 7). What is the length of each of the longer sides of the rectangle?
Answer:
c
Step-by-step explanation:
it just is
Answer:
C
Step-by-step explanation:
It just is
Help please I need answers in less than 35 mins
Answer:
8. Flour = 150 grams
9. Original sum of money = 110 pounds
Step-by-step explanation:
8. Let the quantities of butter, flour and sugar be 2x, 3x and 4x grams respectively.
So,
2x + 3x + 4x = 450
9x = 450
x = 450/9
x = 50
Flour = 3x = 3*50 = 150 gram
9.
Let Abby, Neil and Dylan have 2x, 4x and 5x pounds respectively.
Since Neil has 40 pounds.
So, 4x = 40
x = 40/4
x = 10
Total amount = 2x + 4x + 5x = 11x = 11*10 = 110 pounds.
Original sum of money = 110 pounds
(**10 POINTS**)
Create two expressions, 1 in the form a (b+c) and a (b - c), that equal 100.
Answer:
2(25+25) for the first one, sry if that deosnt work.
Step-by-step explanation:
Find the area of the rhombus.
Answer:
Area = 90
Equation:
See attached image for equation.
Help!!!! ASAP!!!!!!!!!!!!!!!!
Answer:
p=15
Step-by-step explanation:
24/8=3
3x5=15
Answer:
bratdth = 8 m
perimeter = 12 m
we know
perimeter of rectangle = 2(l+b)
24=2(l+8)
24=2l+16
24-16=2l
8=2l
8/2=l
l=4m
for second picture
breadth = 5m
length =4 m
p =?
we know
p= 2(l+b)
p=2(4+5)
p=2×9
p=18m
Is 4/6 larger than 5/3
Answer:
no 5/3 is larger
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
5/3 is a improper fraction, therefore it is bigger.
teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle School. Of these teachers, 8 female teachers and 4 male 8
A.20%
B.12%
C.60%
D.72%
The graph shows the number of points, y, a player earns in a balloon game based on the number of balloons the player pops, x.
Which of the following are the dependent quantities?
a
1, 2, 3, 4, 5, 25, 50, 75, 100, 125
b
1, 2, 3, 4, 5
c
25, 50, 75, 100, 125
d
25, 1, 50, 2, 75, 3, 100, 4, 125, 5
Answer:
C is the answer
they're dependent because they're the y-values. the y-values in this graph are dependent on the x-values. how many points you earn in total, is dependent on how many balloons are popped.
Step-by-step explanation:
I hope this helps :))
two boys decided to share their profits from a car wash job at a ratio of 2:3 how much will each boy receieve if their total profit is 35
Answer: Profit for first boy = $14
Profit for second boy = $21
Step-by-step explanation:
Given : Ratio of profits = 2:3
Let profit for one boy = 2x and for another boy = 3x
Since combined profit = $35
Then, 2x+3x= 35
⇒ 5x= 35
⇒ x= 7 [divide both sides by 5]
Profit for first boy = 2 (7)= $14
Profit for second boy = 3 (7)= $21
William paid $48 for 12 lbs. of steak, and Ava paid $70 for 10 lbs. Which person paid a greater ratio of dollars per lbs. of steak?
Answer: Ava paid a greater ratio.
Step-by-step explanation:
hope this helps :)
A circle has a radius of 4 feet. What is the radius of a bigger circle if the scale factor of the smaller to bigger is 4:9
Answer:
9 feets
Step-by-step explanation:
From the question, we have our scale factor as:
4:9 = 4/9
Smaller circle /Bigger circle = 4/9
A circle has a radius of 4 feet. What is the radius of a bigger circle?
Let the radius of the bigger circle = x
This is calculated as:
4/9 = 4/x
Cross Multiply
4x = 9 × 4
x = 36/4
x = 9 feet
Therefore, the radius of the bigger circle is 9 feet
could you help me with this plz
Answer:
D. 797,481
Step-by-step explanation:
So, with the number 653,841, the number that is in the hundreds place is 8, meaning that the number is 800. So now, since you have to find 1/10 of the value, you have to divid it by 10, giving you 80. Now, looking at the answers, you have to find the number with 8 in the tens place, which is D.
Help me plzzzzzzz!!!!!!ASAP!!!!!!!
Write the inequality and SOLVE
4 times a number increaded by 14 is at most 30
Jack is looking to purchase a new video game. He finds a 25% off coupon for a store that sells the video game he wants. If the original price of the video game is $65, how much will Jack pay after the discount?(do not worry about sales tax)
PLEASE HELP ME!!!
Answer:
16.25
Step-by-step explanation:
Answer:
48.75
Step-by-step explanation:
What is 2.25% of 3,200 ?
Answer:
72
Step-by-step explanation:
(pls mark me brainliest if u can)
ten less than a number is at least -8. Solve the inequality.
Answer:
[tex]x - 10 \geqslant - 8 \\ x \geqslant 2 \\ [/tex]
Error Analysis A student incorrectly simplified the
expression below as shown in the image
Answer:
Put the a with the b
Step-by-step explanation:
The residents of a city voted on whether or not to raise property taxes. The ratio of yes votes to no votes was 4 to 3. If there were 1716 no votes, what was the total number of votes?
The sum of the first 14 integers is 105.
Find the sum of the first 14 cubes.
i need help plz
9514 1404 393
Answer:
11,025
Step-by-step explanation:
Interestingly the sum of the first 14 cubes is the square of the sum of the first 14 integers: 105^2 = 11,025.
Answer:
11,025 is your answer
Step-by-step explanation:
At the craft store, Kenji bought a bag of brown and blue marbles. The bag contained 60 marbles, and 40% of them were brown. How many brown marbles did Kenji receive?
if 1 pound of candy is 3.50 how much candy can you get with one dollar?
Answer:
Step-by-step explanation:
16 divided by $3.50 = 4.5
Answer:
0.286 pounds
Step-by-step explanation:
one pound=$3.50
x pounds=$1.00
then
1/3.5=0.286 pounds
check:
0.285 pounds per dollar x $3.50=1 pound
Alice has total of 12 dimes and nickels she has 2 more nickels than dimes .which equation represents the given problem situation
Answer
A i think
Good luck have an amazing day
marys age is 2 upon 3 that of peters age. two years ago marys age was 1 upon 2 of whats peters age will be in 5years time. how old is peter now plzz
Answer:
the Peter age be 27
Step-by-step explanation:
Let assume peter be
And, then mary is 2p ÷ 3
So
The equation would be
2p ÷ 3 - 2 = 1 ÷ 2 (p + 5)
4p - 12 = 3p + 15
p = 27
So Peter age be 27
And, the mary age is
= 2 (27) ÷ 3
= 18
Hence, the Peter age be 27
Ben is paid £15 per hour. If he works for more than 7 hours in a day, he is paid overtime for the additional hours at a rate of 1.5 times his normal rate of pay. Yesterday, Ben worked for 10 hours. How much money did he earn?
Answer:
£172.50
Step-by-step explanation:
Sorry if it's wrong I'm not exactly a maths genius but: 7x15=£105+15x1.5x3=£172.50
16 is 32% of ______?
Answer:
50
Step-by-step explanation:
16 = 32% of x
16 = 0.32x
0.32x = 16
x = 16/0.32
x = 50
Answer: 50
Answer:
50
Hope this helps!!!!!!!!!!!!!
What interest will be charged on a $300 loan for 6 months if the rate is 18% simple interest?
23.90
318.00
© 540.00
© 27.00
324.00
Answer: 540.00
Step-by-step explanation:
What is the volume of this rectangular prism?
3 units
1 cubic unit
3 units
Answer:
Step-by-step explanation:
3x3x3 is 46 than 46 _ 4 is 57
The answer is 27 units
What is the Volume of Rectangular Prism?The volume of a rectangular prism is defined as the space occupied within a rectangular prism. A rectangular prism is a polyhedron that has two pairs of congruent and parallel bases. It has 6 faces (all are rectangular),12 sides, and 8 vertices. As the rectangular prism is a three-dimensional shape (3D shape), the unit that is used to express the volume of the rectangular prism is cm3, m3 and so on.
Given here: The dimensions as 3,3,3
Thus the volume is = 3³
=27
Hence, The answer is 27 units
Learn more about prisms here:
https://brainly.com/question/29722724
#SPJ2