Answer:
1) [tex]9^{2}=81[/tex]
2) [tex]7=log_{2}(128)[/tex]
Step-by-step explanation:
1)
We need to use the property of power and logarithms, particularly this:
[tex]a=x^{log_{x}(a)}[/tex] (1)
So, let's take take the exponent:
[tex]9^{log_{9}}(\frac{1}{81})=9^{-2}[/tex]
[tex]\frac{1}{81}=9^{-2}[/tex]
now, we can write the negavitve power as:
[tex]\frac{1}{81}=\frac{1}{9^{2}}[/tex]
So, the aswer will be:
[tex]9^{2}=81[/tex]
2)
Applying equation 1, let's take log in base 2 on each side of the equation
[tex]log_{2}(2^{7})=log_{2}(128)[/tex]
using the power definition in log, we have:
[tex]7log_{2}(2)=log_{2}(128)[/tex]
Therefore, the answer is:
[tex]7=log_{2}(128)[/tex]
I hope it helps you!
URGENT: Find the value of X
Answer:
72x
Step-by-step explanation:
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. Which quantity is unknown? The price of a bottle of water. Let w equal the price of a bottle of water. Write an equation that represents the situation.
77*22= 1694 2*22=44
Step-by-step explanation:
22w + 44 = 77 is the equation which represents the situation and the price of a bottle of water is $1.5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let w be the price of a bottle of water.
The coach is buying 22 bottles of water and 22 energy bars, which cost a total of $77.
The cost of 22 energy bars is $2 x 22 = $44.
So the total cost of 22 bottles of water and 22 energy bars is:
22w + 44 = 77
We can simplify this equation by first subtracting 44 from both sides:
22w = 33
Then, we can solve for w by dividing both sides by 22:
w = 1.5
Therefore, 22w + 44 = 77 is the equation which represents the situation and the price of a bottle of water is $1.5.
To learn more on Equation:
https://brainly.com/question/10413253
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Determine the exact value for sec (5π/4)
Answer:
-√2
Step-by-step explanation:
C on Edg
Answer: - square root 2
Step-by-step explanation: c on edge
can someone help please
half of the triangle is a right angle triangle, so we use the phythagoras theorem and multipy our answer by 2
License plates in the tiny country of Venn follow a unique pattern. The first character is one of 41 Egyptian hieroglyphs, the second is one of 39 emojis, and the third character is one of 10 polygons. How many 3 character license plates are available to the people of Venn?
Answer:
12710 license plates
Step-by-step explanation:
Given that :
First character = one of 41 different hieroglyphs
Second character = one of 31 emojis
Third character = one of 10 polygons
A license plate consists of 3 characters
Number of 3-character license plates available :
Number of hieroglyphs * Number of emojis * number of polygons
41 * 31 * 10 = 12710 license plates.
Select the correct answer.
Which of these is the standard form of the following function?
f(1) = 7(1 - 1)2 + 3
OA. f(x) = 7x2 14r + 10
OB. f(x)
7x2 14 - 10
O c. f(0) = -7x2 14r + 10
OD. f(x) = -732 – 141 – 10
Reset
Next
Answer:
answer is: 7x^2-14x+10
Step-by-step explanation:
what is the sum of -4/7 and 6/7
Answer:
2/7
Step-by-step explanation:
Since the denominators are the same, we need to add the numerators and place it over the common denominator
-4+6 = 2
so
-4/7 + 6/7 = 2/7
2/7
Answer:
B
Step-by-step explanation:
In a particular week, Mary
worked 8 hours per day for 3
days and 4 hours per day for 2
days. She was paid $10 per hour.
How much did she earn for that
week?
A. $ 120.
B. $ 320.
C. $ 400.
D. $ 600.
Answer:
B. $ 320
Step-by-step explanation:
[8(3) + 4(2)]10
(24 + 8)10
320
What is the slope of the line through the points (-4, 2) and (-16, -6)?
Answer:
m=2/3
Step-by-step explanation:
You buy a TV that costs $550 and you pay 6% sales tax. How much do you pay in total for the TV?
$33
$583
$517
$187
Answer:
$583 :)
Step-by-step explanation:
well we know the sales tax is %6 and to find out how much money it is equal to we have multiple $550 x 0.06. after that we get $33. Add $33 to $550 and you get $583!
PLS HELP ILL MARK BRAINLIEST THANK U
Answer:
9,11,16. 4,6,7. 6,8,12
Right. Acute. obtuse
Step-by-step explanation:
obtuse 9,11,16
acute 4,6,7
obtuse 6,8,12
(1/p-p)(1/p-q)-q/p^2(1/q+qp^2)
Classify each pair of angles as adjacent, vertical, supplementary, complementary, or neither.
Adjacent
Vertical
Supplementary
Complementary
Neither
PLEASE HELPP MEE
Answer:
Complementary
Step-by-step explanation:
49°+41° = 90°
32 oz = _______ lb
Please answer the question
Answer:
2 lb
Step-by-step explanation:
1lb = 16 pounds.
20 points AND brainliest. Write an equation in slope intercept form to represent the table above. For example: y = 36x + 36. Please put enter a space after each term as shown in the example.
Answer:
This is a ratio table,so therefore there is always a pattern.
Step-by-step explanation:
In order to solve,you have to find the constant in the question,such as 30,40,50,and 60.The constant in this example is 10.When the constant is not even,or the numbers are not even,that's the time you pull out your notebook multiplication chart.Look at the numbers,and see if those numbers are on the chart.If all of them are on the chart,then see if one or both of the multiplicable numbers fall under the category of your variables.If all are under one number,then that number is your answer.
3/5-the square root of 5
Answer:
1.341
Step-by-step explanation:
I'm smart at maths
Please answer!!! I’ll make brainliest
Answer:
10.3
Step-by-step explanation:
The question is asking to find the length of the hypotenuse of the triangle. This requires us to use the Pythagorean theorem. The legs measure 9 and 5, so we use these to solve for c.
[tex]9^{2} + 5^{2} =c^{2} \\81 + 25 = c^{2} \\106 = c^{2} \\[/tex]
We find the square root of both sides to find the value of c.
10.295 ≈ c
Rounded to the nearest tenth, c ≈ 10.3. The answer is 10.3
Please answer the question above.
Answer:
∠2 = 80°
Step-by-step explanation:
∠1 and ∠2 are supplementary angles (their sum is 180°)
Collin is paid £99.44 for a 8 hour shift what is Collins pay per hour
slope of 1/2 and y-intercept is -5.
Answer:
Y= 1/2x-5
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
not sure but i think c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What is the value of n in the equation below?
StartFraction a Superscript n Over a cubed EndFraction = a Superscript 9
Answer:
ok ok it it 12
Step-by-step explanation:
stay safe 2021
Answer:
12
Step-by-step explanation:
Edge
If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (revolutions per minute)? [There are 63,360 inches in 1 mile) Round your final answer to 2 decimal places .
Answer:
The tires are spinning at 660.49 revolutions per minute.
Step-by-step explanation:
The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:
[tex] \omega = \frac{v}{r} [/tex]
Where:
r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches
[tex]\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm[/tex]
Therefore, the tires are spinning at 660.49 revolutions per minute.
I hope it helps you!
4. Based on the original question, how many quarters and dimes must Jada have?
What is the value of y in the equation below?
4y + 8 = 6y + 2
3/5
1
3
5
Answer:
y=3
Step-by-step explanation:
good luck
PLS HELPPP !! BRAINLIEST!!
Each cube in this figure is a 1/2 -centimeter cube. What is the total volume of the prism?
A. 4 1/2cm3
B. 1 1/2cm3
C. 6cm3
D. 18cm3
The value of the function f(x) is 600 when x=0 and decreases by 9% for every one-unit increase in x. Complete the equation that represents the function f(x)
its a open answer please help
Answer:
[tex]f(x)=600(0.09)^x[/tex]
Step-by-step explanation:
Since f(x) decreases by 9% for every one unit increase in x, it means that f(x) is an exponential decay function. An exponential function is given by:
f(x) = [tex]ab^x[/tex]; where a is the value of f(x) at x = 0, b is the multiplier and is less than 0 for a decay.
Therefore since at x = 0, f(x) = 0. Hence a = 600. Also, b = 9% = 0.09.
The function f(x) can hence be represented as:
[tex]f(x)=600(0.09)^x[/tex]
Question 16
What is the slope of a line passing through (2, 2) and (3,5)?
5 because of slope equation
URGENT HELP PLZ ILL GIVE BRAINLIEST!!!
Answer:
36
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
<A+ <B+ <C = 180
2x+6x+2x = 180
10x = 180
Divide by 10
10x/10 = 180/10
x = 18
We want to find <C
<C = 2x
= 2*18
= 36
Solve for :
92 + 210
48 + 140
Rep
48+140=188
92+210=302
if you at all it equals 490