Properties of Exponential Function for Roots.
[tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex]
The first one is wrong as 4^1/2 would equal √4 = 2
The second choice is correct.
The third choice is correct because ∛8 = 2 and √4 also = 2
The fourth choice is wrong because √8 = 2√2
The fifth choice is also wrong because 2^1/2 would be √2 while √32 is 2^5
The sixth choice is 3^3/2 which would equal √27 = 3√3 which is correct.
add then simplify if possible 1/2 + 2/5
Answer:
9/10 and it can't be simplified
Step-by-step explanation:
BRAINLIEST PLEASE
Answer:
9/10
Step-by-step explanation:
1/2 = 5/10
2/5 = 4/10
5/10+4/10= 9/10
Identify the vertex of
y = 2x2 − 4x − 2
vertex at
(
−
1
,
−
4
)
Explanation:
Given:
y
=
2
x
2
+
4
x
−
2
Convert the given form into "vertex form"
y
=
m
(
x
−
a
)
2
+
b
with vertex at
(
a
,
b
)
XXX
y
=
2
(
x
2
+
2
x
)
−
2
complete the square
XXX
y
=
2
(
x
2
+
2
x
+
1
)
−
2
−
2
XXX
y
=
2
(
x
+
1
)
2
−
4
XXX
y
=
2
(
x
−
(
−
1
)
)
2
+
(
−
4
)
which is the vertex form with vertex at
(
−
1
,
−
4
)
graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0
Which Shape is NOT quadrilateral
Answer:
the pentagon (3rd one)
Step-by-step explanation:
definition of a quadrilateral literally means a shape with 4 sides
Ryan has a checking account balance of -$25. Write an absolute value statement to show how much money Ryan owes the bank.
State 2 possible solution points for the inequality. Use the form (x,y) for both points. *
4 points
Captionless Image
A salesperson at a jewelry store earns 3% commission each week. Last week, Heidi sold $750
worth of jewelry. How much did she make in commission? How much did the jewelry store make
from her sales?
Heidi earned $ in commission.
I need help!
Which of the following has a graph that is a straight line?
a. y^2 = x - 1
b. y = 2x^2 + 4
c. y = 2x + 7
d. y = 3x^3
1. if $2,500 is invested into an account that pays 4% interest compounded monthly how long will it take for the investment to double?
2. find the average rate of change of f(x)= x^2 +2x+1 evaluated at x=1+a and x=1
Answer:
SORRYYYYYYY!!!!!!!!!!!
write an equation that reflects this relationship using X to represent the amount of grams in fish and y to represent the number of calories
Answer:
[tex] y = \frac{3}{2}x [/tex]
Step-by-step explanation:
The graph shows there is a proportional relationship between amount of grams of fish (x) and number of calories (y).
A original relationship can be represented by An equation as [tex] y = kx [/tex], where, k = constant of proportionality (y/x).
The constant of proportionality using any point, let's say (200, 300), would be:
k = y/x = 300/200 = ³/2
Plug in the value of k into [tex] y = kx [/tex].
Thus, the equation that reflects the relationship would be:
[tex] y = \frac{3}{2}x [/tex]
The equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories is (2y = 3x) and this can be determined by using the point-slope form of a line.
Given :
A graph where the x-axis represents the number of fish in grams and the y-axis represents the number of calories.Points - (100,150) and (200,300)The point-slope form can be used to determine the equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.
The point-slope form is given by the equation:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex] ----- (1)
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Now, put the values of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the equation (1).
[tex]\dfrac{y-150}{x-100}=\dfrac{300-150}{200-100}[/tex]
[tex]2(y-150)=3(x-100)[/tex]
2y - 300 = 3x - 300
2y - 3x = 0
2y = 3x
The equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories is (2y = 3x).
For more information, refer to the link given below:
https://brainly.com/question/14022834
Below are the test scores of nine students on the math test:
50, 50, 50, 50, 51, 89, 90, 90, 90
What is the mean absolute deviation of the test scores? (round to the nearest thousandth)
Answer:
The mean absolute deviation is 19.5
Step-by-step explanation:
Hope this helps!
In 2011, Japan experienced an intense earthquake with a magnitude of 9.1 on the Richter scale. In 2003, Japan experienced another intense earthquake that measured 8.3 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answer:
The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.
Step-by-step explanation:
To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.
Convert the magnitudes to intensities and write them in exponential form.
R=logI
2011 earthquake:
9.1I=logI=109.1
2003 earthquake:
8.3I=logI=108.3
Form a ratio of the intensities.
intensity for 2011intensity for 2003
Substitute in the values and divide by subtracting the exponents to find
109.1108.3100.8≈6.
The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.
Your answer:
The intensity of the 2011 earthquake was about 15 times the intensity of the 2003 earthquake.
The intensities of the two earthquakes will be 6.3095.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
In 2011, Japan encountered a serious quake with an extent of 9.1 on the Richter scale. In 2003, Japan encountered another extraordinary seismic tremor that deliberate 8.3 on the Richter scale.
The intensity of the earthquake is given as,
㏒ (I₁ / I₂) = M₁ - M₂
㏒ (I₁ / I₂) = 9.1 - 8.3
Simplify the equation, then we have
㏒ (I₁ / I₂) = 9.1 - 8.3
㏒ (I₁ / I₂) = 0.8
Take anti log, then we have
(I₁ / I₂) = 6.3095
The intensities of the two earthquakes will be 6.3095.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
A ball is thrown from a height of 130 feet with an initial downward velocity of 6ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=130-6t-16t^2
How long after the ball is thrown does it hit the ground?
See attachment for math work.
150 pounds to 135 pounds
Answer:
15 pounds
Step-by-step explanation:
150-135
Answer:
15 pounds
Step-by-step explanation:
You're baking a batch of 12 cupcakes. Each batch requires 100 grams of butter. Which proportion shows how much butter there is in each cupcake?
Answer: .12 grams of butter per cupcake
Step-by-step explanation:
1/12=x/100 this is what i found but this may or may not be the right answer but I am pretty sure that it is. Sorry if this doesn't help.
HELP^^^ ITS 7TH GRADE MATH
Answer:
13
Step-by-step explanation:
count outside lines
Answer:
Perimeter: 13
plz answer it as fast as you can
Answer:JL=MO
Source:trust me bro
eye blue like the Atlantic and im going down like the Titanic
Answer:
how is this a question
Step-by-step explanation:
Find a formula for the general term or of the sequence assuming the pattern of the first few terms
continues.
{14, 19, 24, 29, 34, ...}
Assume the first term is a1.
an=?
Answer:5n+6
Step-by-step explanation :an=a1+d(n-1)
=1+(-5)(n-1) or 1+-5n+5
an=-5n+6
Solve for x. Enter the solutions from least to greatest.
(x + 7)^2 - 49 = 0
Answer:
x = -14, 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Completing the SquareMultiple Roots/SolutionsStep-by-step explanation:
Step 1: Define
(x + 7)² - 49 = 0
Step 2: Solve for x
Add 49 to both sides: (x + 7)² = 49Square root both sides: x + 7 = ±7Subtract 7 on both sides: x = -7 ± 7Evaluate: x = -14, 0Step 3: Check
Plug in x values into original equation to verify they are a solution.
x = -14
Substitute in x: (-14 + 7)² - 49 = 0Add: (-7)² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = -14 is a solution of the equation
x = 0
Substitute in x: (0 + 7)² - 49 = 0Add: 7² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = 0 is also a solution of the equation.
Answer:
Lesser x=-14 Greater x=0
Step-by-step explanation:
x+7)
2
−49
(x+7)
2
(x+7)
2
=0
=49
=
49
Hint #22 / 3
\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}
x+7
x
(x+7)
2
−49
x=−14
=±7
=±7−7
or x=0
If two lines are perpendicular, their slopes are negative reciprocals.
A. True
B.False
Please explain how to do it so I can learn it
What is the value of 1 in 2.391
Answer:
0.001 (one thousandth)
Step-by-step explanation:
hope this helps
Answer:
1 thousandth
Step-by-step explanation:
2 is in the ones place, 3 is in the tenths place, 9 is in the hundredths place, 1 is in the thousandths place.
Hope it helps!
Don’t understand pls help
Answer:
-1.5x + 3
Step-by-step explanation:
The Y-intercept is visible, wherever the line is touching the Y-Axes is the intercept. Use this formula to solve for slope:
Help!!!!!!!!!!!!!!.
Plzzzzzzzzzzzzzzzzzzzzzzz
IM SO DUMB PLS HELP ME I THINK THIS IS ALGEBRA I DONT KNOW??
Answer:
#1 350 trees
#2 10 people
Step-by-step explanation:
Helpp me please find the angle (where the question mark is ) 10 pointsss
Answer:
#9= 100 degrees but I'm not sure about #10.
Step-by-step explanation:
We know that a triangle has a total of 180 degrees.
So we add 16, 34, and 30
16+34+30=80
Then we subtract the amount from the total degrees of a triangle.
180-80
= 100 degrees
I hope this helps:)
In triangle ABC, angle A is 35 and angle b is 20 select all triangle which are similar to triangle ABC.
Answer:
The similar one are 1 and 5
A. Triangle DEF where ∠D is 35° and ∠E is 20°.
C. Triangle JKL where ∠J is 35° and ∠L is 125°.
D. Triangle MNO where ∠N is 20° and ∠O is 125°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles of a triangle is equal to 180°.
Given, A triangle ABC has ∠A = 35° and ∠B = 20°.
∴ ∠C = 180° - 35° - 20°.
∠C = 125°.
Triangle will be similar if every corresponding angle of different triangles has the same measure.
So, Triangles that are similar to triangle ABC is triangle DEF where ∠D is 35° and ∠E is 20°.
Triangle JKL where ∠J is 35° and ∠L is 125°.
Triangle MNO where ∠N is 20° and ∠O is 125°.
learn more about triangles here :
https://brainly.com/question/2773823
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Help me fast pleaseeeee
Answer:
y=-2x-2
Step-by-step explanation:
Find slope and y intercept
Anybody can help me with this one?
Answer:
look pic
Step-by-step explanation:
the -1/4 is the slope and 5 is where you start
can you Evaluate 2. pls anyone
Answer:
no
Step-by-step explanation:
2 is just 2