Answer:
It's 70°
Step-by-step explanation:
∠APB = ∠RPQ = 35°
Now, ∠AOB and ∠APB are angles subtended by an arc AB at centre and at the remaining part of the circle .
∴∠AOB = 2∠APB = 2 × 35° = 70°
Find the arithmetic of the numbers 109, 113, 56, 87, 39, 68, 116, 79, 111, 91, 78, 121, 56
The arithmetic of the given numbers should be considered as the 86. In this, we basically take an average.
Calculation of the average:Since the sequence is 109, 113, 56, 87, 39, 68, 116, 79, 111, 91, 78, 121, 56
And, if we count it so it is 12
Now we have to add all of these
= 109 + 113 + 56 + 87 + 39 + 68 + 116 + 79 + 111 + 91 + 78 + 121 + 56
= 1,124
Now the arithmetic should be
[tex]= 1124 \div 13[/tex]
= 86
hence, The arithmetic of the given numbers should be considered as the 86. In this, we basically take an average.
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Solve for x. 10 + 5x +4 = -2x + x + 2
9514 1404 393
Answer:
x = -2
Step-by-step explanation:
Collect terms.
14 +5x = -x +2
Add x-14
6x = -12
Divide by 6
x = -2
What is the domain function of -3(x-5)+8
↝ Quadratic Function has the domain of all real numbers. (Even not given the specific domain.)
↝ The equation [tex]y=-3(x-5)+8[/tex] is a parabola with (5,8) as a vertex. We call the equation [tex]y=a(x-h)^2+k[/tex] as vertex equation.
The domain of -3(x-5)+8 is all set of real numbers.
↝ Interval Notation ↝
Since the domain of the equation is set of all real numbers.
Therefore, the domain is x ∈ R or (-∞,∞) or -∞<x<∞
There of them work. Recall that the domain of quadratic function is all set of real numbers.
An astronaut who weighs 126 pounds on Earth weighs only 21 pounds on
the moon. How much would a person who weighs 31 pounds on the moon
weigh on Earth? Show your work to receive full credit.
Answer:
186 pounds
Step-by-step explanation:
let x = pounds on Earth
set up a proportion: [tex]\frac{126}{21}[/tex] = [tex]\frac{x}{31}[/tex]
cross-multiply: 21x = 3906
divide by 21: x = 186
Answer:
186 pounds.
Step-by-step explanation:
By proportion 126/21 = x/31
6 = x/31
x = 6*31
= 186 pounds.
What is 10log3 in precalculus
WHEN WE ARE GIVEN the base 2, for example, and exponent 3, then we can evaluate 23.
23 = 8.
Inversely, if we are given the base 2 and its power 8 --
2? = 8
-- then what is the exponent that will produce 8?
That exponent is called a logarithm. We call the exponent 3 the logarithm of 8 with base 2. We write
3 = log28.
We write the base 2 as a subscript.
3 is the exponent to which 2 must be raised to produce 8.
A logarithm is an exponent.
Since
104 = 10,000
then
log1010,000 = 4.
"The logarithm of 10,000 with base 10 is 4."
4 is the exponent to which 10 must be raised to produce 10,000.
"104 = 10,000" is called the exponential form.
"log1010,000 = 4" is called the logarithmic form.
Here is the definition:
logbx = n means bn = x.
That base with that exponent produces x.
Example 1. Write in exponential form: log232 = 5.
Answer. 25 = 32.
Example 2. Write in logarithmic form: 4−2 = 1
16 .
Answer. log4 1
16 = −2.
Problem 1. Which numbers have negative logarithms?
To see the answer, pass your mouse over the colored area.
To cover the answer again, click "Refresh" ("Reload").
Do the problem yourself first!
Proper fractions.
Lesson 20 of Arithmetic
Example 3. Evaluate log81.
Answer. 8 to what exponent produces 1? 80 = 1.
log81 = 0.
We can observe that, in any base, the logarithm of 1 is 0.
logb1 = 0
Example 4. Evaluate log55.
Answer. 5 with what exponent will produce 5? 51 = 5. Therefore,
log55 = 1.
In any base, the logarithm of the base itself is 1.
logbb = 1
Example 5 . log22m = ?
Answer. 2 raised to what exponent will produce 2m ? m, obviously.
log22m = m.
The following is an important formal rule, valid for any base b:
logbbx = x
This rule embodies the very meaning of a logarithm. x -- on the right -- is the exponent to which the base b must be raised to produce bx.
The rule also shows that the exponential function bx is the inverse of the function logbx. We will see this in the following Topic.
Example 6 . Evaluate log3 1
9 .
Answer. 1
9 is equal to 3 with what exponent? 1
9 = 3−2
log3 1
9 = log33−2 = −2.
Compare the previous rule.
Example 7. log2 .25 = ?
Answer. .25 = ¼ = 2minus2. Therefore,
log2 .25 = log22−2 = −2.
Example 8. log3Logarithms = ?
Answer. Logarithms = 31/5. (Definition of a rational exponent.) Therefore,
log3Logarithms = log331/5 = 1/5.
Problem 2. Write each of the following in logarithmic form.
To see the answer, pass your mouse over the colored area.
To cover the answer again, click "Refresh" ("Reload").
a) bn = x logbx = n b) 23 = 8 log28 = 3
c) 102 = 100 log10100 = 2 d) 5−2 = 1/25. log51/25 = −2.
Problem 3. Write each of the following in exponential form.
a) logbx = n bn = x b) log232 = 5 25 = 32
c) 2 = log864 82 = 64 d) log61/36 = −2 6−2 = 1/36
Problem 4. Evaluate the following.
a) log216 = 4 b) log416 = 2
c) log5125 = 3 d) log81 = 0
e) log88 = 1 f) log101 = 0
Problem 5. What number is n?
a) log10n = 3 1000 b) 5 = log2n 32
c) log2n = 0 1 d) 1 = log10n 10
e) logn 1
16 = −2 4 f) logn 1
5 = −1 5
g) log2 1
32 = n −5 h) log2 1
2 = n −1
Problem 6. logbbx = x
Problem 7. Evaluate the following.
a) log9 1
9 = log99−1 = −1
b) log9 1
81 = −2 c) log2 1
4 = −2
d) log2 1
8 = −3 e) log2 1
16 = −4
f) log10 .01 = −2 g) log10 .001 = −3
h) log6Logarithms = 1/3 i) logbLogarithms = 3/4
easy question i just dont know how to do it! help immediately will give brainliest thanks!!!
Answer:
I can do this faster than you can flick your bean
Students can buy up to 10 books at a book fair. The cost of the books is
shown in the graph. What is the domain of this graph?
Cost of Books
110
10
80
70
2345 6789 10 11
Number of books
Answer:
C. All whole numbers from 0 to 10
Step-by-step explanation:
Options:
A. All nonnegative real numbers
B. All rational from 0 to 10
C. All whole numbers from 0 to 10
D. All real numbers
Given:
A student can not buy more than 10 books.
The domain is the x-axis which is the number of books.
You can not buy half or a fourth of a book.
Nonnegative real numbers would include 0.1, 0.2, 0.3, 0.4, 1.5, etc.
Rational numbers from 0 to 10 would include integers, fractions, and repeating decimals which include 1/3, 2/4, 3/4, 6/5, etc.
Whole numbers from 0 to 10 would include integers and a rational.
Real numbers include negative number, but the students are not selling books.
3. Sarah just got back from a vacation. She had been traveling for 3 days, driving 8 hours each
day. How many hours altogether was she in the car?
Answer:
some people answered it
the ndhevekenevegegrrjeveecrxzrtxtj4ejeobde ecsudddje
Answer:
yes
Step-by-step explanation:
y = 1/2x + 8
What does x equal?
x= -16
substitute y=0
0=1/2x+8
multiply both sides
=0=x+16
move the variable to the left
-x = 16
change the signs
final ; x = -16
find the ratio of the 16 hours to 1 day
Answer:
24 hrs= 1day
Ratio 16:24 or 2:3
An angle is geometric figure that consists of
Answer:
the union of two rays that share a common endpoint.
Step-by-step explanation:
Answer:two rays that share a common end point
Step-by-step explanation:
PLS I NEED HELP BRAINLIEST IS UP FOR GRABS
I don’t need the answer I need to know how to do it (but the answer would be greatly appreciated) BUT THE ANSWER IS NOT REQUIRED I would just like to know how to write an inequality for this
Answer:
(a) x > 4 (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
Please help :) (10 points)
Answer:
I think it is 256 you take3×-23 you get 20× then you minus the 2 and to end up with 18 then you times it by 3 and you and up with 72×
Plz help me this is due today
Alberto invests his $90 for 2 years at r % per year simple interest.
At the end of 2 years the amount of money he has is $99.
Calculate the value of r.
Answer:
rate=55 percent
Step-by-step explanation:
SI=PRT
p=90
r=?
t=2
si=99
R=SI÷PT
R=99÷90×2
r=99÷180=0.55
r=0.55×100
R=55%
PLZ HELP ME ON THIS MATH I HAVE DONE IT 4 TIMES AND MADE2 25% and 1 45% so i really need help its worth 100 points
Answer:
Whats the question?
Step-by-step explanation:
The answer is A: 74 m^2
what does the g in 5 = g/8 ?
Answer:
UMM WHAT
Step-by-step explanation:
PLEASE HELP 4) Moira plans to deposit $1000 into a bank account and leave it in the bank to gather interest for 5 years. She
researches the interest rates at two banks. Her findings are in the table below.
Bank A
interest rate: 4%
compounded monthly
A = P (1+r/n)nt^
Bank B
interest rate: 4%
compounded continuously
A = Pe^rt
Compute the amount of money that Moira would have in each bank after 5 years. Which bank should Moira
Choose and why?
Answer:
Compounded continuously $221.40 Compounded monthly $221.00 Moira should pick bank B with a total of $1221.40 - Moira will earn more with Bank B.
The issue of capital punishment is a hotly debated topic. Do more Republicans than Democrats support capital punishment? A researcher randomly selects 100 republicans and 100 democrats and asks them if they support or do not support capital punishment. In this problem, we want to make inferences about:
A. one meanB. comparing means from dependent samplesC. comparing means from two independent samplesD. one proportionE. comparing proportions from two independent samplesF. comparing proportions from dependent samples
Answer:
E. comparing proportions from two independent samples
Step-by-step explanation:
First of all, we have two different populations: Republicans (group A) and Democrats (group B). We want to be able to compare if group A favors/likes certain policy more than group B. In order to do so, we must take independent samples from each population. Only after we have processed our data and calculated the results, can we compare between both groups.
1. Which list shows the numbers in increasing
order?
A-3, -2.25 -2.5, -1,0
B -3, -2.5, -2.25, -1,0
C 0,-1, -2.25, -2.5, -3
Answer:
B
Step-by-step explanation:
2.5 is smaller than 2.25 because 2.5 = 2.50
If Jace had 77 blue pens,23 red pens 15 pink pens and 4 purple pens what is the part to whole ratio for red pens to all of the pens?
Answer:
23:119
Step-by-step explanation:
all pens:
77 blue + 23 red + 15 pink + 4 purple
77 + 23 + 15 + 4 = 119
119 total pens
23 red / 119 total
23/119
23 is prime, so this cannot be simplified further
the ratio of red : total pens is 23:119
Answer:
23 to 119 (23:119)
Step-by-step
you first have to add all of the pens together and then take the number of red pens and make that a ratio
FIND THE SOLUTIONNNNNNNN
Answer:
1. (2,2) 2. (4,1)
Step-by-step explanation:
Solve by graphing both equations. Where the two equations meet, there is a solution.
Step-by-step explanation:
1)2,2
2)4,1
that's answers to your question
Find the unit rate
24 roses in 4 vases
Find the inequality represented by the graph. If you don’t know, don’t answer.
This is the inequality that is represented by the graph.
I took a screenshot of your question and I took it one of tutors on here so you can get it quicker!
what is the slope? Rise/Run
Answer: divided by 3
Step-by-step explanation: x is rise y is run
Answer:
The answer is 1/3
Step-by-step explanation:
y2 - y1 0 - (-1)
_______ = ______ = 1/3
x2 - x1 0 - (-3)
1. Choose the correct answer.
A _____ is an equation whose graph is a straight line.
linear equation
system of linear equations
quadratic equation
linear inequality
It's Linear Equation!!!
A linear equation is an equation whose graph is a straight line.
What is Line segment?
Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The graph of equation is a straight line.
Now,
Since, The graph of equation is a straight line.
We know that;
The graph of a linear equation is always a straight line.
Thus, A linear equation is an equation whose graph is a straight line.
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Please find the value of x and y.
Answer:
x = 11
y = 3
Step-by-step explanation:
ΔTUV ≅ Δ HJK
JK = UV {Corresponding parts of congruent triangles}
2x - 4 = 18
2x = 18 + 4
2x = 22
x = 22/2
x = 11
HK = TV
6y - 5 = 4y + 1 {Subtract 4y form both sides}
6y - 5 - 4y = 1
2y - 5 = 1 {Add 5 to both sides}
2y = 1 + 5
2y = 6
y = 6/2
y = 3
You and your friend skate at the same rate. You complete 7 laps in 9 minutes. How long does your friend take to complete 14 laps?
Answer:
18 minutes
Step-by-step explanation:
Since my friend goes at the same rate as me, 7 laps in 9 minutes, you can multiply both sides of the ratio to get 14 laps in 18 minutes.
Hope this helps! :)
Use____to isolate the variable
Answer:
inverse operation(s)
Step-by-step explanation:
