y=10^x +6
find the inverse
\(y=10^x+6\\10^x=y-6\\x=\log_{10}(y-6)\\\\f^{-1}(x)=\log_{10}(x-6)\)
use the number line to find the sum of 1.5+(-5). A. -3.5 B.6.5 C.-6.5 D.3.5
Answer:
A. -3.5
Step-by-step explanation:
when adding a negative you subtract
so rewrite it as
1.5-5
which gives you -3.5
Hellllppppp!
given triangle abc prove m∠a=66 2/3
Any triangle's three interior angles add up to 180 degrees, according to the Triangle Sum Theorem.
How do you calculate the triangular sum theorem?Any triangle's three interior angles add up to 180 degrees, according to the Triangle Sum Theorem. m∠1+m∠2+m∠3=180∘.
Here,
According to the triangle sum theorem, a triangle's total angles equal 180°. Therefore, using the Substitution property
=> (3x)° + 90° + (x+10)° = 180°,
=> m(A,B,C) = 180.
To find x, combine similar terms to get
=> 4x + 100 = 180. Then, using the subtraction condition of equality, convert => 13 1/2 to 80.
=> Finally, divide 80 by 5 ( 13 1/2) to find x.
The substitution property may be used to get the measure of the angle A, yielding mA = 5 ( 13 1/2) °.
When the expression is finally simplified, m < A = 66 2/3.
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8993.2×10³ I strongly dislike myself
Step-by-step explanation:
that would be 8.9932
because 10 raised to the powr of 3
that would be to go to your left three times that would be 8.9932
there are 6 marbles in a bag. 4 were red and 2 were blue what is the probability that you would pull out a blue marble?
A= 1 out of 6
B= 2 out of 4
C= 2 out of 6
D= 4 out of 6
Answer:
2 out of 6
Step-by-step explanation:
P( blue marble) = number of blue marbles / total marbles
= 2 /6
Answer: C
Step-by-step explanation: the reason it is c is because the total of marbles is six and their is only 2 marbles so it would be 2 out of 6 you could also use process of elimination
In the triangle below, find the measurements of the unknown angles.
2a
A
a
75
O A. 75°, 105°
Ο Ο
B. 40°, 80°
C. 5°, 10°
O O
ОО
D. 25°, 50°
O E. 35°, 70°
HELLOO
Answer:
E) 35°, 70°.
Step-by-step explanation:
Given that the triangle has angles of a°, 2a° and 75°.
A triangle is a polygon shape that has three sides and three angles. The sum of angles in a triangle is 180°. There are different types of triangles such as scalene triangle, isosceles triangle, equilateral triangle e.t.c.
In the triangle:
a + 2a + 75 = 180° (sum of angles in a triangle)
3a + 75 = 180
adding -75 to both sides:
3a + 75 - 75 = 180 - 75
3a = 105
a = 105/3
a = 35°
Hence 2a = 2(35) = 70°
Therefore a = 35° and 2a = 70°
Answer:
E) 35°, 70°.
Step-by-step explanation:
aye
What is 11/5 as a decimal
Answer: 2.2 or 2.20
Step-by-step explanation:
Change 11/5 into a fraction and then turn that fraction into a decimal which is 2.2 or 2.20
Hoped this helped!
In 2-3, graph the system of equations to find the solution to the system. Then, use the check step to prove that the solution works in both equations. Show all work
The system of equations has an infinite number of solutions.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
3x + 2y = 6 ____(1)
6x + 4y = 12 _____(2)
Applying the substitution method.
3x + 2y = 6
x = (6 - 2y)/3 in (2)
6 (6 - 2y)/3 + 4y = 12
2 (6 - 2y) + 4y = 12
12 - 4y + 4y = 12
12 = 12
This means,
It has an infinite number of solutions.
Thus,
An infinite number of solutions.
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The complete question is:
Graph the system of equations
3x + 2y = 6
6x + 4y = 12
and find the solution to the system.
What is the answer for this question?
Answer:
The answer is A 1 4/5
Work:
7 1/5- 6 2/5
turn 7 1/5 into 6 6/5 and now subtract the two fractions
6/5-2/5= 4/5
now subtract the whole numbers:
6-6=1
So, your answer should be 4/5 (A)
Geometry help please
Question 13 to 15
The angle relationship of the diagram is as follows:
13. ∠AGH and ∠DHG are alternate interior angles
14. ∠FGB and ∠CHE are alternate exterior angles.
15. ∠CHG and ∠DHE are vertically opposite angles.
How to find angles?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles, linear angles etc.
The parallel lines are line AB and CD.
The transversal line is FE.
Therefore,
∠AGH is congruent to ∠DHG because they are alternate interior angles.
Alternate interior angles are congruent.
∠FGB is congruent to ∠CHE because they are alternate exterior angles.
Alternate exterior angles are congruent.
∠CHG is congruent to ∠DHE because they are vertically opposite angles.
Vertically opposite angles are congruent.
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Question 6 of 10
A line of best fit was drawn for 6 data points. What is the maximum number
of these data points that may not actually be on the line?
OA. 6
B. 3
O C. 4
OD. 5
SUBMIT
please help! which angles are congruent?
Answer:
All of the angles
Step-by-step explanation:
All of the angles
Answer: Opposite angles
Step-by-step explanation: As you can see, angles B and D are opposite from each other and they have matching angles. Angles A and C are opposite from each other and they have matching angles. So the opposite angles are congruent. Congruent = identical
Find the open intervals on which the function f(x)= x+10sqrt(9-x) is increasing or decreasing.
The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).
To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.
Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.
f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)
= 1 - 5√(9 - x) / √(9 - x)
= 1 - 5 / √(9 - x).
To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.
Setting f'(x) = 0:
1 - 5 / √(9 - x) = 0
5 / √(9 - x) = 1
(√(9 - x))^2 = 5^2
9 - x = 25
x = 9 - 25
x = -16.
The critical point is x = -16.
We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.
Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).
For x < -16:
Plugging in a test value, let's say x = -17, into the derivative:
f'(-17) = 1 - 5 / √(9 - (-17))
= 1 - 5 / √(9 + 17)
= 1 - 5 / √26
≈ 1 - 0.97
≈ 0.03.
Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).
For -16 < x < 9:
Plugging in a test value, let's say x = 0, into the derivative:
f'(0) = 1 - 5 / √(9 - 0)
= 1 - 5 / √9
= 1 - 5 / 3
≈ 1 - 1.67
≈ -0.67.
Since f'(0) is negative, the function is decreasing in the interval (-16, 9).
For x > 9:
Plugging in a test value, let's say x = 10, into the derivative:
f'(10) = 1 - 5 / √(9 - 10)
= 1 - 5 / √(-1)
= 1 - 5i,
where i is the imaginary unit.
Since the derivative is not a real number for x > 9, we cannot determine the sign.
Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).
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Suppose that 21 people are competing in an Olympic event, where first place earns Gold, second place earns Silver, and third place earns Bronze. How many different possible outcomes are there for this Olympic event
Answer:
Step-by-step explanation:
This is a combination problem. Combination has to do with selection
Total people competing in the event = 21people
Prizes to be won = 3(Gold, silver and bronze)
Using the formula
nCr = n!/(n-r)!r!
21C3 = 21!/(21-3)!3!
21C3 = 21!/18!3!
21C3 = 21×20×19×18!/18!3!
21C3 = 21×20×19/3!
21C3 = 21×20×19/6
21C3 = 1330
Hence 1330 possible outcome are there for the event.
Convert 2,430 yards to km
Answer:
2.221992
Step-by-step explanation:
can i have the crown pls ૮ ♡ﻌ♡ა
Answer:
2.221
Step-by-step explanation:
What is the sin of 52 radians
Answer:
sin of 52 radians = 0.98662759204
Step-by-step explanation:
Answer: 0.98
Step-by-step explanation:
Approximately 1, you shouldn't have to answer 0.988 etc on the test.
Solve the radical equation, if possible.
Answer: C
Step-by-step explanation:
3x-3 ≥ 0 ==> x ≥ 1
3x+6 ≥ 0 ==> x ≥ -2
So: condition x ≥ 1
\(\sqrt{3x-3} +1=\sqrt{3x+6} \\\\\sqrt{3x+6} -\sqrt{3x-3} =1 \ squaring\\\\3x+6+3x-3-2\sqrt{(3x+6)(3x-3)} =1\\\\6x+2=2\sqrt{(3x+6)(3x-3)}\\\\\sqrt{(3x+6)(3x-3)}=3x+1\ squaring \\\\(3x+6)(3x-3)=(3x+1)^2\\\\9x^2+18x-9x-18=9x^2+6x-1\\\\3x=19\\\\x=\dfrac{19}{3} \\\\sol=\{\dfrac{19}{3}\}\\\\Answer\ C\\\)
In one round of a board game, Chrissy scored 43 points. In the next round, she lost 103 point
How many points did Chrissy have in total after two rounds?
Answer:
-60
Step-by-step explanation:
43 - 103
The two top concert tours in 2016 were concert A and concert B. Based on average ticket prices, it cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B. Three tickets for concert B cost a total of $687. How much did an average ticket cost for each tour?
The average ticket cost for each concert is given as follows:
Concert A: $188.83.Concert B: $95.67.How to obtain the ticket costs?The ticket costs are obtained by a system of equations, for which the variables are given as follows:
Variable a: cost for Concert A.Variable b: cost for Concert B.It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:
6a + 6b = 1707
a + b = 284.5.
Three tickets for concert B cost a total of $687, hence the cost for concert B is of:
3b = 687
b = 287/3
b = $95.67.
Replacing into the first equation, the cost for concert A is given as follows;
a = 284.5 - 95.67
a = $188.83.
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The product of two negative integers is a negative integer.
Answer:
False. The product of two negative integers is a positive integer.
Sam knows that he can read 17 pages of his book in 30 minutes he needs to finish his book in 1 1/2 hours will he be able to finish his book in time if he still needs to read 50 more pages
Answer:
Yes
Step-by-step explanation:
17 pages in 30 minutes is 51 pages in 90 minutes. He needs 50 more pages in 90 minutes so he will be able to finish his book.
I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!
Q(t) = 3-0. sin() + 0.01 sin(4t) - 0.02 cos(46) The function Q defined above models the electric charge, measured in coulombs, inside a lightbulb t seconds after it is turned on. Which of the following presents the method for finding the instantaneous rate of change of the lightbulb's electric charge, in coulombs per second, at time-4? A 0"(1) = -0.213 0 (4) = -0.171 09.00 – 0.053 D) Q (4)=0.194
The instantaneous rate of change of the lightbulb's electric charge, in coulombs per second is : \(Q'(4) = -0.171\).
The instantaneous rate of change of the lightbulb's electric charge at time t is 4 can be calculate by taking the derivative of Q with respect to t and evaluating it at t = 4.
This can be done by using the definition of the derivative:
\(Q'(t) = lim h- > 0 (Q(t + h) - Q(t)) / h.\)
Substituting t = 4, we can find Q'(4) as follows:
\(Q'(4) = lim h- > 0 (Q(4 + h) - Q(4)) / h\)
=\(lim h- > 0 (3e0.7(4 + h)sin(theta) + 0.01sin(4(4 + h)) + 0.02cos(4(4 + h)) - 0.194) / h\)
\(= -0.171.\)
The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge. Positive or negative charges can exist in an electric field. Protons are in excess in positively charged matter, while electrons are in excess in negatively charged matter. The Coulomb is the electrical charge unit used in SI (C).
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PLEASE HELP!! I CANT GET THIS WRONG YALL HELP.....!!!
GIVING BRAINLIEST
Answer:
D)6x^4+3x^3y
Step-by-step explanation:I hope this helps,good luck with everything,have a nice day.
Miguel divided 205 oranges evenly into 5 boxes. How many oranges were in each box?
Answer:
41
Step-by-step explanation:
205 divided by 5=41
Answer:
The Answer is 41 oranges in each box
How to find the range of data. 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26
Answer:
22
Step-by-step explanation:
To find the rage, you subtract the smallest number from the largest number in the set of numbers.
So...
26 - 4 = 22
Daniel bought 3 comic books at the bookstore. He spent $8.33 on the first book and $7.33 on the
second book. He spent a total of $24.69 on all three books.
How much did Diego spend on the
,
third book?
Answer:
The third book cost $9.03
Step-by-step explanation:
Answer:
the 3rd book is 9.03
Step-by-step explanation:
all you have to do is add 8.33 + 7.33 and thate 15.66 so 24.69 - 15.66 is 9.03
2 more than n is the quotient of n and 6
Answer:
6n+2
Step-by-step explanation:
Which expression is equal to 1-12|- |-3|?
О-15
9
o 9
o 15
Answer:
15 i think 15 or 9 is the answer
√√96
√8
Ο 213
Ο 4
Ο 222
D. 12
Answer:
2sqr3, the first option
Step-by-step explanation:
At the end of a snow storm, Emily saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 15 inches of snow on the lawn when the storm ended and after 4 hours, the depth of snow was down to 12 inches. Write an equation for S,S, in terms of t,t, representing the depth of snow on Emily's lawn, in inches, tt hours after the snow stopped falling.
The equation that represents the depth of snow on Emily's lawn t hours after the snow stopped falling is
S = 15 - 0.75t
Writing an equationFrom the question, we are to write an equation for S, in terms of t, that represents the depth of the snow on Emily's lawn, t hours after the snow stopped falling
From the given information,
"There was a depth of 15 inches of snow on the lawn when the storm ended"
and
"after 4 hours, the depth of snow was down to 12 inches"
That is,
The snow has reduced by 15 - 12 inches after 4 hours
15 - 12 = 3
Thus,
The snow has reduced by 3 inches after 4 hours
Now,
If the snow reduced by 3 inches after 4 hours,
Then,
The snow will reduce by x inches after 1 hour
x = (3×1)/4
x = 3/4 inches
x = 0.75 inches
This means the snow reduces by 0.75 inches every hour.
Now,
After t hours, the snow would have reduced by 0.75t
Thus, the depth of the snow, S, after t hours will be
S = 15 - 0.75t
Hence, the equation that represents the depth of snow on Emily's lawn t hours after the snow stopped falling is
S = 15 - 0.75t
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