Answers
Answer:
[tex]10^2a^2b[/tex]
Step-by-step explanation:
Exponents are a way of shortening multiplication statements. The exponent represents how many times a term is being multiplied by itself. So, when two terms have the same base it can be written with exponents. For example. 10*10 can be written as [tex]10^2[/tex] because 10 is being multiplied 2 times. Therefore, if we do this with every term you get [tex]10^2a^2b[/tex].
Related Questions
which points lie in the second quadrant? check all that apply.
Answers
Point F
Point E
These lie in the second quadrant.
The diagram shows a prism …,
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Answer:
See figure below.
Step-by-step explanation:
See the figure below.
does anyone know the answer to this question?
Answers
Answer:
(1,2)
Step-by-step explanation:
1. plug x into the equation:
[tex]2<\frac{2}{3}(1)+2[/tex]
2. simplify:
[tex]2<\frac{2}{3}+2[/tex]
[tex]2<\frac{2}{3}+\frac{6}{3}[/tex]
[tex]2<\frac{8}{3}[/tex]
since 8/3 is greather than 2, (1,2) is a solution
What are the zeroes of f(x) = x^2 + 5x + 6? (4 points)
A) x = -2, -3
B) x = 2,3
C) x= -2,3
D) x = 2, -3
Answers
Answer:
the answer is A, if you need explanation comment
Step-by-step explanation:
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answers
Answer:
x ≈ 52.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{KL}{LM}[/tex] = [tex]\frac{36}{28}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{36}{28}[/tex] ) ≈ 52.1° () to the nearest tenth )
what is the area of this triangle
Answers
Answer:
son Judy even eat and technology and yyry and then he will get your BMW
Use Lagrange multiplier method to find the maximum and minimum values of (, , ) = − 2 + 5 On the sphere 2 + 2 + 2 = 30
Answers
Answer:
Please find the complete question in the attached file.
Step-by-step explanation:
Calculation with Lagrange multipliers of its optimum restricted places,
[tex]f_x = 2\ \ \ \ \ \ \ \ \ \ \ \ \ g_x = 2x\\\\f_y = 1 \ \ \ \ \ \ \ \ \ \ \ \ \ g_y = 2y\\\\[/tex]
Set the multiplier formulas for Lagrange:
[tex]f_x = \lambda g_x \to 2 = \lambda 2x ............ (i)\\\\f-y = \lambda g_y \to 1 = \lambda 2y................ (ii)\\\\constraint: \\\\\to x^2 + y^2 = 5 .................... (iii)\\\\Taking \ (i)\ divides\ (ii), \ (assuming\ \lambda \neq 0)\\\\\frac{2}{1}=\frac{\lambda 2x}{\lambda 2y}=\frac{x}{y}\\\\\therefore \\\\2y = x\\\\Sub\ into\ (iii)\ to\ find\\\\4y^2 + y^2 = 5 \to y = \pm 1\\\\[/tex]
We get solutions (x,y)=(2,1) and (−2,−1) if combined with 2y = x. These are all the identical points we obtained in (c) and we know the f(2,1) is the max, whereas f(−2, −1) is a minimum.
An angle measures 16.4° less than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
Step-by-step explanation:
Let one angle = A
Let the other angle = B
A + B = 180
A = B - 16.4 Substitute for A in the top equation
B - 16.4 + B = 180 Combine the left
2B - 16.4 = 180 Add 16.4 to both sides
2B = 180 + 16.4
2B = 196.4 Divide by 2
B = 196.4/2
B = 98.2
A = B - 16.4
A = 98.2 - 16.4
A = 81.8
Solve each equation. Round to four decimal places.
e^x=8
Answers
Answer:
x ≈ 2.0794
Step-by-step explanation:
Given
[tex]e^{x}[/tex] = 8 ( take ln of both sides )
ln [tex]e^{x}[/tex] = ln 8
x lne = ln 8 [ lne = 1 ]
x = ln 8 ≈ 2.0794 ( to 4 dec. places )
Answer:
x ≈ 2.0794
Step-by-step explanation:
[tex] \small \sf \: e {}^{x} = 8[/tex]
Take the natural logarithm of both side of equation
[tex]\small \sf \: In ( e {}^{x} ) = In ( 8 )[/tex][tex] \small \sf \: Use \: In(e {}^{x} ) = x \: to \: simplify \: the \: expression.[/tex]
x = In( 8 )Write the number in exponential form.
x = In(2³)Use In(aⁿ) = n × In ( a ) to transform the expression.
x = 3In( 2 ) ≈ 2.07944Round to four decimal places = 2.0794
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a
side of the water tank.
2 meters 3 meters
1/2 meters
1/3 meters
Answers
Answer:
2 meters.
Step-by-step explanation:
We know that a cube of sidelength L has a volume:
V = L^3
Here, we know that the volume of water that the cube can hold is:
(1000/125) m^3
Then the volume of our cube is exactly that:
V = (1000/125) m^3
Then we have the equation:
L^3 = (1000/125) m^3
Which we can solve for L
L = ∛((1000/125) m^3 ) = (∛1000/∛125) m
Where we used that:
∛(a/b) = ∛a/∛b
Solving the cubic roots, we get:
L = (10/5) m = 2m
The length of the side of the water tank is 2 meters.
What is the value of the median ?
1. 8
2. 4
3. 6
4. -4
Answers
1+1+1+5+1+1+4+5+10+1LL pop
Answers
Answer:
The answer should be 30. I don’t know if those letters are apart of it but it’s 30.
Which graph represents the solution of x2 + 9y2 ≤ 81 and y2 + 2 < x? On a coordinate plane, an ellipse has center (0, 0) and goes through (3, 0), (0, negative 9), (negative 3, 0), and (0, 9). A parabola opens to the right and goes through (6, 2), has vertex (2, 0), and goes through (6, negative 2). Everything inside of the ellipse and outside of the parabola is shaded. On a coordinate plane, an ellipse has center (0, 0) and goes through (3, 0), (0, negative 9), (negative 3, 0), and (0, 9). A parabola opens to the right and goes through (6, 2), has vertex (2, 0), and goes through (6, negative 2). Everything inside of the ellipse and inside of the parabola is shaded. On a coordinate plane, an ellipse has center (0, 0) and goes through (9, 0), (0, negative 3), (negative 9, 0) and (0, 3). A parabola opens to the right and goes through (6, 2), has vertex (2, 0), and goes through (6, negative 2). Everything inside of the ellipse and inside of the parabola is shaded. On a coordinate plane, an ellipse has center (0, 0) and goes through (9, 0), (0, negative 3), (negative 9, 0) and (0, 3). A parabola opens to the right and goes through (6, 2), has vertex (2, 0), and goes through (6, negative 2). Everything inside of the ellipse and outside of the parabola is shaded.
Answers
9514 1404 393
Answer:
C
Step-by-step explanation:
The ellipse y-intercepts are ±3, the x-intercepts are ±9, eliminating choices A and B. The parabola is shaded inside, eliminating choice D.
The correct choice is the third one.
PLS HELP(algebra 1)
solve -7 + 18(17h + 19)
Answers
Answer:
335+306h
Step-by-step explanation:
solve the brackets first by distributing 18 to 17h and 19
-7+306h+342
then group the like terms
-7+342+306h
335+306h
Question 17 (5 points)
Determine the value of x in the isosceles trapezoid.
2x
х
x = 60°
x= 65°
x= 180°
*= 90°
Answers
A survey asked people of different ages whether they get their news by
reading the paper. What is the probability that a person surveyed is 40 or
above, given that he or she gets the news by reading the paper? If necessary.
round your answer to the nearest percent.
Answers
Answer:
A) 60%
Step-by-step explanation:
24/40
= 0.6
0.6*100
= 60%
I really hope this is right and it helps.
can someone do this step by step pls:)
Answers
Answer:
23
4* 4 = 16
cir = 2[tex]\pi[/tex]r = 2[tex]\pi[/tex](1.2) = 2.4[tex]\pi[/tex]
16 + 2.4[tex]\pi[/tex] = 23.53
Step-by-step explanation:
Which property was used to simplify the expression?
30+9+4- 40+
distributive property
commutative property
associative property
inverse property
HELP SMB PLEASE!!!
Answers
Answer:
Distributive property.
Step-by-step explanation:
.
Answer:
holis polis trolis bsuslsgddnnbz
Which of the following options results in a graph that shows exponential growth? (2 points)
f(x) = 0.4(3)x
f(x) = 3(0.5)x
f(x) = 0.8(0.9)x
f(x) = 0.9(5)−x
Answers
Answer:
Step-by-step explanation:
The formula for exponential equations is
[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. If b is greater than 1, we have growth; if 0 < b < 1, then we have decay. The only choice that shows a b value greater than 1 is the first one where b = 3. (The last one is also a decay as it can be written as
[tex]f(x)=0.9(\frac{1}{5x})[/tex] which isn't even exponential!)
PLEASE PLEASE PLEASE HELP ME. IM STUCK IN A SUMMER SCHOOL AND IF I DONT GET GOOD GRADES ILL GET IN BIG TROUBLE AND IM TOTALLY LOST ON THIS PROBLEM. I ALREADY DID THE FIRST TWO BUT I DONT KNOW HOW TO DO THE LAST ONE. PLEASE HELP ME!!!!
Answers
Answer:
We know that in the box there are:
4 twix
3 kit-kat
Then the total number of candy in the box is:
4 +3 = 7
a)
Here we want to find the probability that we draw two twix.
All the candy has the same probability of being drawn from the box.
So, the probability of getting a twix in the first drawn, is equal to the quotient between the number of twix and the total number of candy in the box, this is:
p = 4/7
Now for the second draw, we do the same, but because we have already drawn one twix before, now the number of twix in the box is 3, and the total number of candy in the box is 6.
this time the probability is:
q = 3/6 = 1/2
The joint probability is the product of the individual probabilities, so here we have
P = p*q = (4/7)*(1/2) = 2/7
b) same reasoning than in the previous case:
For the first bar, the probability is:
p = 3/7
for the second bar, the probability is:
q = 2/6 = 1/3
The joint probability is:
P = p*q = (3/7)*(1/3) = 1/7
c) Suppose that first we draw a twix.
The probability we already know that is:
p = 4/7
Now we want another type, so we need to draw a kit-kat, the probability will be equal to the quotient between the remaining kit-kat bars (3) and the total number of candy in the box (6)
q = 3/6
The joint probability is:
P = p*q = (4/7)*(3/6) = 2/7
But, we also have the case where we first draw a kit-kat and after a twix, so we have a permutation of two, then the probability in this case is:
Probability = 2*P = 2*2/7 = 4/7
Problem: Construct a triangle with interior angle measures of 60° and 60°. Let one of the side lengths be 10. What are the lengths of the other sides?
Answers
Answer:
The lengths of the other sides would be 10, as well.
Step-by-step explanation:
Since we already know two of the three angles, we can subtract to find the other angle. The interior angles of a triangle will always add up to 180°. We have 60° and 60°, giving us 120°. 180 - 120 is equal to 60°, so that's the missing angle. Because all of the angles are the same, this is an equilateral triangle, which means the sides also have to be the same length. If one of the sides is 10, all of the sides are 10.
The triangle with sides 10 , 10 and 10 and all angles at 60° is an equilateral triangle
What is an Equilateral Triangle?An equilateral triangle is a triangle in which all three sides have the same length.
Let the triangle be ΔABC , and
∠A = ∠B = ∠C = 60° and AB = BC = CA
Given data ,
Let the triangle be represented as ΔABC
Let the side length of the triangle be AB = 10
Now , the measure of ∠ABC = 60°
And , the measure of ∠BAC = 60°
So , the total sum of all the angles in a triangle = 180°
And , the measure of ∠ACB = 180° - ( 60° + 60° ) = 60°
Therefore , all the angles of the triangle are 60°
So , it is an equilateral triangle
And , the measure of side lengths of the triangle is 10
Therefore , AB = BC = CA = 10
Hence , it is an equilateral triangle
To learn more about equilateral triangle click :
https://brainly.com/question/17824549
#SPJ3
Q14SIMPLIFY THE EXPRESSION 6ab of2adivided by12x12ab+14a-a
Answers
Answer:
25
Step-by-step explanation:
6ab of 2a ÷ 12 × 12ab + 14a - a
= 6ab * 2a ÷ 12 × 12ab + 14a - a
= 12a²b ÷ 144ab + 13a
= 12*a*a*b / 144*a*b + 13*a
= a/12 + 13*a
= 1/12 + 13
= 1/25
Use the drop-down menus to identify the values of the parabola.
Vertex = ____
Domain = {x| ____ }
Range = {y| y ≤ ____ }
Answers
Answer:
Im guessing because their no chart.
Step-by-step explanation:
The answer is.
Vertex: 0,4.
Domain: X is a real number.
Range: 4.
Find the value of x. Write it as a decimal.
Answers
Answer:
68.5
Step-by-step explanation:
Arc ABE = 360 - 2x
Arc AE = 2x
half the difference between the two arcs is 43
43 = [tex]\frac{1}{2}[/tex] [360 -2x - (2x)]
I NEED ANSWER ASAP WILL GIVE BRAINLIEST(WORTH 30 POINTS)
Which function is represented by the graph?
A. f(x) = -2|x|+ 1
B. f(x) = -1/2|x|+1 C. f(x) = -2|x + 1|
D. f(x) =-1/2|x-1|
Answers
Answer: b
Step-by-step explanation:
How many orders of magnitude bigger is 23,000 than 56?
Answers
Orders of Magnitude are in terms of scientific notation.
23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)
56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.
4 - 1 = 3
2300 is 3 order of magnitudes larger.
The answer is 3.
Helpppp me plzzzzzzxzz
Answers
Find the angle between u = (8,-3) and v = (-3,8). Round to the nearest tenth of a degree.
Answers
Answer is 90 degrees
Fifth grade students from Garden City Elementary School left for a field trip at the time shown on the clock.(6:54am) They returned from the field trip at 10:24 p.M. How long were the students on this field trip?
Answers
Answer:
15 hour(s) and 30 minute(s).
Step-by-step explanation:
Answer:
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Step-by-step explanation:
the UK. I have been a while. I have been a while. I have been a while. I have been a while 6e5 the UK. I have been a while. I have been a while. I have
. How do we have a look at the moment. The comments for the first time in the UK. I
What type of health screening would this patient most likely receive?
Sue is a 45-year-old woman with a family history of breast cancer. Her healthcare professional will most likely recommend that she receive a .
Answers
Answer:
A mammogram is what she would receive
Step-by-step explanation:
