Answers
The value of y is 54 when x = -2
The value of y is 18 when x = -1.
The value of y is 6 when x = 0.
The value of y is 2 when x = 1.
The value of y is 2/3 when x = 2.
What is a function?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given function is
y = 6(⅓)^x
To find the value at x = -2, -1, 0, 1, 2, put the value of x in the given equation.
Putting x = -2 in the equation y = 6(⅓)^x
y = 6(⅓)⁻²
Applying index formula (1/a)^(-m) = a^m
y = 6(3)²
y = 6 × 9
y = 54
Putting x = -1 in the equation y = 6(⅓)^x
y = 6(⅓)⁻¹
Applying index formula (1/a)^(-m) = a^m
y = 6(3)¹
y = 6 × 3
y = 18
Putting x = -1 in the equation y = 6(⅓)^x
y = 6(⅓)⁰
Applying a⁰ = 1
y = 6 × 1
y = 6
Putting x = 1 in the equation y = 6(⅓)^x
y = 6(⅓)¹
y = 6 × 1 /3
y = 2
Putting x = 2 in the equation y = 6(⅓)^x
y = 6(⅓)²
y = 6 × (1/9)
y = 6/9
Divide the denominator and numerator by 3:
y = 2/3
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Related Questions
Using the 28/36 ratio, determine the maximum allowable recurring debt for someone with a monthly income of $3,200. a. $256 b. $512 c. $640 d. $896
Answers
Answer:
a. $256
Step-by-step explanation:
The computation of the maximum allowable recurring debt is shown below:
Given ratio = 28:36
And the monthly income is $3,200
So the maximum expense on housing = 28% of $3,200 = $896
And, the maximum expense on total debt = 36% of $3,200 = $1,152
Now the maximum alloweable recurring debt is
= $1,152 - $896
= $256
Answer:
the answer is A
Step-by-step explanation:
expand o write an equavilent expression -1/4(-8x + 12y).
Answers
Answer:
\(2x-3y\)
Step-by-step explanation:
Apply the distributive property by multiplying the outside to both terms on the inside:
\(-\frac{1}{4}\) of -8x is equal to 2x
\(-\frac{1}{4}\) of 12y is equal to 3y.
Best answer gets brainliest hurry ASAP
Answers
Answer:
42 minutes
Step-by-step explanation:
Solve for x. Round to the nearest tenth of
a degree, if necessary.
Answers
Answer: 24.51
Step-by-step explanation:
Hopefully this is right :))))
Karate kid studio charges a $300 registration fee and $10 per lesson and cool kick studio charges $35 per lesson, no registration fee
Answers
Answer:
Cool kick studio is cheaper unless you are going to take more than 12 lessons. They are equal in price when you take 12 lessons.
subtraction (must show work) 1. d - 27 = 45 2. h - 114 = 28
3. - 4 + x = 15 4. 4. -39 + g = 72
Answers
Answer:
Step-by-step explanation:
1.
d - 27 = 45
add 27
d = 72
2.
h - 114 = 28
add 114
h = 142
3.
-4 + x = 15
add 4
x = 19
4.
-39 + g = 72
add 39
g = 111
What is the probability that a standard number cube will show a two or four when it is rolled?
Answers
Explanation:
The cube has six sides, and two and four take two sides.
Two= 1/6 of the cube
Four=1/6 of the cube
1/6+1/6= 2/6
Can a triangle have sides with the given engths? Explain. a=6 yd, b=11 yd, c=16 yd
A. No because the sum of the lengths of the two shorter sides is greater than the length of the third side, and this contradicts the triangle inequality theorem.
Answers
Answer:
Yes
Step-by-step explanation:
When the value of the two shorter sides are greater than the longest one, then that will form a triangle.
An artist is going to cut four similar right triangles from a rectangular piece of paper like the one shown to the right. What is BE to the nearest tenth when AC=13
Answers
The measurement of altitude BE is 4 unit.
What is an altitude?As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.
As ABCD is rectangle
AD = BC = 12
ΔABC = ΔBCD
BE = FD
5² = 3²+BE²
AE = 3
BE = √(5²-3²)
BE = 4
Thus, The measurement of altitude BE is 4 unit.
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i need help with this
Answers
Answer:
54
Step-by-step explanation:
please but me a crown
14y-14->14 what is the solution to the inequality
Answers
Answer:
if you see this say hi pls
Step-by-step explanation:
Answer:
y > 2
Step-by-step explanation:
Given
14y - 14 > 14 ( add 14 to both sides )
14y > 28 ( divide both sides by 14 )
y > 2
What is the value ofx in the equation 2(6x+4)-6+2x=3(4x+3) + 1
1
3
4
6
Answers
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesCombining Like TermsStep-by-step explanation:
Step 1: Define Equation
2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
Step 2: Solve for x
Distribute: 12x + 8 - 6 + 2x = 12x + 9 + 1Combine like terms: 14x + 2 = 12x + 10Subtract 12x on both sides: 2x + 2 = 10Subtract 2 on both sides: 2x = 8Divide 2 on both sides: x = 4The diameter of a circle is 12cm. Find its area in terms of π.
Answers
Answer:
37.68 cm²
Step-by-step explanation:
2πr
2π6
2 × 3.14 × 6
37.68 cm²
Mr Goldstein is driving from Houston. The equation y = -45x + 270 represents the numbers of miles that he still has to travel after driving for x hours. Find and intercept the slope and y-intercept of the line that represents this situation.
Answers
Step-by-step explanation:
The y-intercept formula is y=mx+b
(m) is the slope
(b) is the y intercept
So in the given formula -45 would be the slope and 270 is the y intercept.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:900
Step-by-step explanation:
what is the ph of a solution when the [h ] = 6.5 x10-9
Answers
When the [H+] = 6.5 x10-9, the pH of the solution is 8.19.
pH is defined as the negative logarithm of the hydrogen ion concentration in a solution (pH = -log[H+]).To calculate the pH of a solution, the negative logarithm of the hydrogen ion concentration must be taken. pH values range from 0 to 14. A pH of 7 is neutral, while a pH below 7 is acidic and a pH above 7 is basic or alkaline.
Using the given hydrogen ion concentration of 6.5 x10-9, the pH of the solution can be calculated using the equation: pH = -log(6.5 x10-9)pH = 8.19
Therefore, the pH of the solution is 8.19.
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May someone please help out with this
Answers
Answer:
radius is 6, center (2,3)
How many grams NaCl would you use to make a 4M solution in 100ml
Answers
Answer:
Amount of NaCl = 23.376 gram
Step-by-step explanation:
Given:
Molarity = 4M
Volume of solution = 100 ml
Find:
Amount of NaCl
Computation:
Molar mass of Na = 22.99 g/mole
Molar mass of Cl = 35.45 g/mole
Molar mass of NaCl = 22.99 + 35.45
Molar mass of NaCl = 58.44 g/mole
Molarity = [moles of solute / volume of solute(ml)]1,000
4 = [moles of solute / 100]1000
Moles of solute = 0.4
moles of solute = Mass of solute / molar mass
0.4 = Amount of NaCl / 58.44
Amount of NaCl = 23.376 gram
Find the total surface area of this triangular prism.
21 cm
29 cm
22 cm
20 cm
Answers
Answer:
313
Step-by-step explanation:
First of all you need to find out the surface of the front.
So you need to do 29cm + 29cm = 58cm.
You then have to do 22cm + 22cm = 44cm
So if you add those two numbers up you will get the front surface which is 102cm.
Next, you need to find the surface of the side.
So you need to do 20cm + 21cm = 41cm
After that, you need to find the back surface.
So you need to add 22cm +22cm = 44cm
Then you have to do 21cm + 21cm = 42cm
Add those two together to get 86cm
Then, you need to do the bottom of the shape.
So you need to add 22cm + 22cm (again) = 44cm
You then need to do 20cm + 20cm = 40cm
Add those together to get 84cm
Finally, you need to add 84cm + 86cm + 102cm + 41cm = 313cm
So your answer is:
Surface: 313
4x + 13 = -X-7
O No Solutions
O All Real Numbers
O x = 4
O x = -4
Please help it’s a test and I’m very confused
Answers
Explanation:
4x+13=-x-7
Add x to both sides which leaves you with 5x+13=-7
Subtract 13 from both sides which leaves you with 5x=-20
Divide by 5
x=-4
Hope this helped, please mark me brainliest if im right! <3
6. You are making costumes for a play. You have sewn 9 costumes. If you are 30% finished, how many total costumes are you sewing?
Answers
Answer: 30 costumes
Step-by-step explanation:
Let x be the total amount of costumes.
In order to get 30% , we need to divide 9 by the total amount of costumes (x), but first we need to change 30% to its multiplier:
30% ÷ 100 = 0.3 (multiplier).
\(\frac{9}{x} =30\)%
\(\frac{9}{x} =0.3\)
\(x=\frac{9}{0.3}\)
\(x=30\) costumes
Or if that is confusing:
\(\frac{9}{x} =30\)%
\(\frac{9}{x} =0.3\)
\(\frac{x}{9} =\frac{1}{0.3}\)
\(x=9 *\frac{1}{0.3}\)
\(x=\frac{9}{0.3}\)
\(x=30\) costumes
The above equations are exactly the same, they are just written differently.
We can now check if our answer is correct:
\(\frac{9}{30} = 0.3\\0.3*100=30\)%
Hope you understand!
Michelle was fishing in her canoe at point A in the lake depicted above. After trying
to fish there, she decided to paddle due east at a steady speed of 15 miles per hour,
As she paddled, a wind blowing due south at 7 miles per hour caused a change in
her direction. To the nearest tenth of a mile, what is the velocity, represented by
vector AC, of her canoe?
A. 8.0 miles per hour
C. 16.6 miles per hour
B16.34 miles per hour
D15.0 miles per hour
Answers
Answer:
Step-by-step explanation:
How do you solve this?
Answers
Answer:
120+5x+15+5x+15=180
10x=180-120-15-15
x=30°
Answer: 9^o
Step-by-step explanation:
(all angles in an isoceles triangle adds up to 180 degrees)
5 x + 15 + 120 = 180
5x = 180 - 120 - 15
5 x = 45
x = 9^o
-30÷5=
bunun cevabı 6 mı??
Answers
Answer:
-6
Step-by-step explanation:
-30÷5=-6
this is the ans
What is the volume of a cylinder, in cubic cm, with a height of 19cm and a base diameter of 6cm? Round to the nearest tenths place
Answers
Answer:
volume of a cylinder = 536.9 cm³
Step-by-step explanation:
volume of a cylinder, V = πr²h
where π = 3.14
h = 19 cm
r = ?
given is diameter = 6 cm
as we know, r = d/2 = 6/2 = 3 cm
by substituting the values in the formula,
V = 3.14 * 3² * 19
= 536.94 cm³
by rounding off to the nearest tenth place,
volume of a cylinder = 536.9 cm³
Answer:
v = 537.2 cm3
Step-by-step explanation:
volume:
\(v=\pi r^{2} h\)
\(r=d/2=6/2=3cm\)
\(h=19cm\)
\(v=\pi (3)^{2} (19)=171\pi\)
\(v=537.21\)
Rounded nearest tenth:
\(v=537.2cm^{3}\)
Hope this helps
Convert into kilometers.
452.159 meters.
Round to the nearest thousandth.
Answers
Answer:
452km
Step-by-step explanation:
find the radian measure of an angle at the center of a circle with radius 77.0 cm that intercepts an arc length of 128 cm
Answers
The radian measure of the angle at the center of the circle is approximately 1.6623 radians.
We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.
To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.
The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)
Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.
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Guided Practice #3:
A group of adults plus one child attend a movie at the movie theater. Tickets cost $9 for adults and $6
for children. The total cost for the movie is $78. Write an equation using a to find the number of adults
in the group
Use your equation to solve for a (adults).
Click to add speaker notes
Answers
Answer:
8 adults
Step-by-step explanation:
78-6 for the child is 72 and tben since each adult is $9 so $72 divide by $9
help meeeeeeeeeeee
pls
Answers
Answer:
with what lol?
Step-by-step explanation:
Answer:
with what
Step-by-step explanation: ican help
Select the correct hierarchy. Org \( > \) Sub \( > \) Org \( > \) Group \( > \) Sub-Group \( > \) Managed Endpoints Org>Group>Managed Endpoint Managed Endpoint \( > \) Sub Group \( > \) Org Org>Sub Gr
Answers
Hierarchical structures are widely used in management to increase efficiency and organization. However, the main goal is to create a structure that streamlines decision-making and improves efficiency.
Let us now analyze the hierarchies provided in the question. There are two hierarchical structures mentioned in the question. They are:
Org > Sub > Group > Sub-Group > Managed Endpoints Org>Group>Managed Endpoint
From the above hierarchy, it is clear that the first hierarchy is divided into four levels, whereas the second hierarchy has only three levels.
The first hierarchy starts with an organization, which is followed by a sub-organization, a group, a sub-group, and then the managed endpoints. The second hierarchy starts with an organization, which is followed by a group, and then the managed endpoints.
Therefore, the correct hierarchy is: Org > Sub > Group > Sub-Group > Managed Endpoints Org>Group>Managed Endpoint.
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Dante invest $ 3500 and earns 2% in simple interest every year. assuming he makes no additional deposits or withdrawals, how much will be in his account after 3 years
Answers
The information provided hows an investment that yields a simple interest.
A simple interest is calculated as follows;
\(\begin{gathered} I=\text{PRT} \\ \text{Where;} \\ I=\text{interest} \\ P=\text{amount invested} \\ R=\text{rate of yield} \\ T=\text{period in years} \end{gathered}\)Therefore, Dante's investment after 3 years at the rate of 2% (that is 0.02) would be;
\(\begin{gathered} I=\text{PRT} \\ I=3500\times0.02\times3 \\ I=210 \\ \text{Amount}=P+I \\ \text{Amount}=3500+210 \\ \text{Amount}=3710 \end{gathered}\)ANSWER:
After 3 years, Dante would have $3,710 in his account