Expressions can be expressed in logarithmic forms, and in exponential forms
The two equations are [tex]\ln(10) = y[/tex] and [tex]10 = e^y[/tex]
How to determine the expressions.The statement is given as "the natural logarithm of 10 is y".
The logarithmic expression of the above statement is:
[tex]\ln(10) = y[/tex]
Rewrite the above expression, as an exponential equation
[tex]10 = e^y[/tex]
Hence, the two equations are [tex]\ln(10) = y[/tex] and [tex]10 = e^y[/tex]
Read more about logarithms at:
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What is the image of (8,7) after a reflection over the line y
x?
What is the greatest common factor of 30 and 27?
Answer:
3
Step-by-step explanation:
well my alexa said so and shes always right so dont worry lol
Answer: 3
Step-by-step explanation:
30: 1, 2, 3, 5, 6, 10, 15, 30
27: 1, 3, 9, 27
The GCF is 3
hope this helps!
What is the maximum area of a rectangle with a perimeter of 320 feet?
Answer:
For a rectangle of given perimeter, here 320 feet, the rectangle with the greatest are is the square. This square shall be 80 x 80. Maximum at (80, 6400)
Step-by-step explanation:
Is 700% of 3 less than 10, greater than 10 but less than 100, or greater than 100?
Answer:
greater than 10 but less than 100
Step-by-step explanation:
700% of 3 is 21, since 100% of 3 is 3, you multiple it 7 times for 700% which gets you 21
Nova's hair grew 2 1/2 inches in 12 weeks. How long will her hair be in 1 week?
Answer:
Hair can grow about 1/10th of an inch.
Please HELP ! It’s worth a lot of points and I don’t understand
• Admissions to a zoo cost $12 for adults and $8 for children. A group of 34 people attending the zoo paid a
total of $312 in admission fees.
(a) Write and solve a system of equations that model the problem. Show all your work
(b) How many adults went to the zoo?
(C) How many children went to the zoo?
Hi mate!
Please check my attached image for the answer with explanation.
Hope it helps...
.Solve for x. How many solutions are possible with this equation?
2/3 (3x + 6)-5
I need help
Answer:
17x1-4+183
Step-by-step explanation:
Write a word description of the set. {−5, −4, −3, −2, −1}
I need help asap .....
Answer:
1/4^2 (A)
Step-by-step explanation:
hope this helped :D
If x > 2, find lx-2l
Help pleaseee
Explanation:
If x > 2, then x-2 > 0 after subtracting 2 from both sides.
Since x-2 is always positive when x > 2, this means the absolute value bars around the x-2 aren't needed. The results of |x-2| and x-2 are perfectly identical.
For example, if we tried something like x = 5, then
x-2 = 5-2 = 3|x-2| = |5-2| = |3| = 3Both outcomes are 3. I'll let you try other x inputs.
So because |x-2| and x-2 are identical, this means |x-2| = x-2 for all x > 2.
In short, we just erase the absolute value bars.
Very urgent please help!!
the biggest negative number should be last and the biggest whole number should be last
I need help. hehe.
Please and thankyou :DDD
What are all the real square roots of 16?
Answer:
4.000
that's the answer I think
pls help I'm stuck on these questions and i need to turn this in tomorrow
Answer:
Step-by-step explanation:
11) 4x+2=5x-10 => 4x-5x=-10-2 => -x=-12 => x=12
12)25x=24x+4 => x=4
13)20x=21x-5 => -x=-5 => x=5
14)20x+10x=180 => 30x =180 =>x=6
To understand it better,you may check the picture down below.
Given f(x) = 3x^2 + kx-1, and the remainder when f(x) is divided by x + 4 is 27, then what is the value of k?
Answer:
k=10
do long or synthetic division. the quotient = 3x + 22 with remainder 81
with long division first divide x into 3x^2 to get 3x. Then
3x times (x-4) = 3x^2-12x
subtract that from 3x^2+kx to get (k-12)x bring down the -7 to get
(k-12)x -7
you want a remainder of 81, so you want -4 times a constant to = -88 (-7-(-88)=81
4 x 22 =88. 22 is the constant
22=12+k
k=10
Step-by-step explanation:
lmk if i helped!
The 3rd term of an arithmetic sequence is -1 and the 7th term is -13. find the explicit formula for this sequence. What is a22?
Answer: Hopefully the math terms won't confuse anyone.
So in the series, a_3 = -1 and a_7 = -13. Since it's an arithmetic sequence, all the terms in the series can be represented as:
a_n = a_0 + n * k
where n is the nth number. K is a constant you add to reach the next term, and a_0 is the starting constant.
a_7 = a_0 + 7 * k
a_3 = a_0 + 3 * k
solving this system gives you that
k = - 3 and a_0 = 8
Hence:
a_22 = 8 + 22 * -3 = -58
Step-by-step explanation:
I need help with this
Answer:
-26
Step-by-step explanation:
Use the given formula to find the next terms.
c(1) = 6 . . . . . . given
c(2) = c(1) -16 = 6 -16 = -10
c(3) = c(2) -16 = -10 -16 = -26
The third term in the sequence is -26.
The ratio tables at the right show the comparison of books to games at Bert's Store and at Gloria's Store. Complete the ratio tables. Which store has the greater ratio of books to games? Explain.
Books : 4|number goes here| number goes here| number goes here| number goes here|
Games: 6|number goes here| number goes here| number goes here| number goes here|
Birt's store has a greater ratio of books to games in comparison to Gloria's store.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given the table:
Bert’s store
Books: 4,8,12,16,20.
Game: 6,12,18,24,30
Gloria’s store
Books: 5,10,15,20,25.
Games: 8, 16, 24, 32,40,
Since the fourth data of the birt store has an equal base to the third data of Gloria's store.
Thus, we can compare the data from the upper tables
So, 16 > 15
thus,
we can say that Bert's store has a greater ratio.
Learn more about ratios here:
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Complete question:
What is the equation to
calculate the slope?
Answer:
= A
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
Mark says he has 4/10 of a dollar. Matt says he has 40/100 of a dollar. Matt says he has more money than Mark. Is he correct? Why?
Group of answer choices
A.Matt is not correct because they have the same amount of money.
B.Matt is not correct because Mark has more money.
C.Matt is correct because 40 is greater than 4.
D.Mark is correct because 100 is greater than 10.
Answer:
A
Step-by-step explanation:
If you simplify 40/100, you should get 4/10, which is still the same amount that Mark has.
You simplify by finding the greatest common factor between 40 and 100. In this case, it is 10. So you divide 40 by 10 and 100 by 10 to simplify.
6x-2+17=8x+1
please help solve for x
Answer:
7
Step-by-step explanation:
6x - 2 + 17 = 8x + 1
6x + 15 = 8x + 1
2x = 14
x = 7
Step-by-step explanation:
Question:-6x-2+17=8x+1
Answer:- 6x-2+17-8x-1=0
-2x+14=0
-2x=-14
x= -14/-2
x= 7
hope this helps you
have a good day :)
$4750 invested at 10% p.a compounded semiannually for 10 years, calculate the interest
Answer:It is given that principal , P = 1000 Rs. = 210 Rs. hence, compound interest = 210 Rs.
Step-by-step explanation:
There are 15 students in a class. 9 of them play basketball, and 11 of them play soccer. How many students in the class play both soccer and basketball
We will see that the number of students that play both sports is given by the inequality:
5 ≤ x ≤ 9
How to find the number of students that play both sports?
We do know that in the class, there are 15 students.
Such that:
9 of them play basketball.11 of them play soccer.If you add these numbers, you get:
9 + 11 = 20
This gives more than the number of students that we have, to get the minimum number of students that play both sports we subtract the number of students:
20 - 15 = 5
5 students play both sports, but this is the minimum number.
There is also the case where out of the 11 students that play soccer, there are 9 that play basketball (so 9 students play both sports) and 4 students don't play any sport.
So the number of students that play both sports is given by the inequality:
5 ≤ x ≤ 9
If you want to learn more about inequalities, you can read:
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Given m||n, find the value of x.
Will give Brainliest!
Answer:
X = 8 because the two given angles are alternate interior, meaning they are equal. Knowing that, you set up the equation 6x-2=46 and solve algebraically for 8.
I HOPE THIS HELPS YOU, AND I HOPE ITS CORRECT, STAY SAFE :3
Complete the proof thaf HI = GJ
What completes reason #6 of the proof
ASA
SAS
SSS
AAS
CPCTC
What completes reason #7 of the proof
ASA
SAS
SSS
AAS
CPCTC
Answer:
ASA, CPCTC
Step-by-step explanation:
#6 is ASA because it proved that 2 angles and 1 side between them are congruent.
#7 is CPCTC because it proved the triangles are congruent, so corresponding parts are also congruent.
Practice using the work formula. A bathtub that holds 42 gallons of water is filling at a rate of 4 gallons per minute. How long will it take to fill the tub? Enter your answers into the boxes. Enter the time t as a decimal. W = rt =
gal = gal/min. t ga • gal/min = t min = 1
Answer: The percentage of the tub after 6 minutes is 30 %
Step-by-step explanation: The calculation can be done as follows
1 minutes= 4 gallons
6 minutes= 4×6
= 24 minutes
If the bathtub can hold 80 gallons of water then the percentage of the tub after 6 minutes can be calculated as follows
= 24/80
= 0.3 × 100
= 30 %
Hence the percentage of the tub will be filled after 6 minutes is 30 %
Please see the link below for more information
3 Bennett exercises by lifting weights. He can lift 200 pounds
3 times without resting between lifts. Which equation shows
a correct way to find the total number of ounces, n, he can lift
without resting?
Bennet can lift 600 pounds without resting.
EquationAn equation is an expression that shows the relationship between two or more numbers and variables.
Let n represent the total number of ounces he can lift without resting, hence:
n = 200 pounds * 3
n = 600 pounds
Bennet can lift 600 pounds without resting.
Find out more on Equation at: https://brainly.com/question/2972832
Match the following items. Determine the functions if θ is a first-quadrant angle, and sin = √10/5. So basically, find cosine, tangent, co-secant, secant, and cotangent please!!
Will give brainliest to the person who answers first as long as its a real answer.
Answer:
cosine=rootunder15/5
tangent=whole root under(2/3)
cosecant=5/rootunder10
secant=5/root under15
contangent=whole root under(3/2)
Step-by-step explanation:
Using the formulae of pythagoras and reciprocal for the given angles.
Find the value of x.
110°
50°
5xº
A. 12
B. 8
OO
C. 10
D. 36
Answer:
A) 12
Step-by-step explanation:
110-50=60
60/5 = 12
Hope this helps!!
Factor the polynomial 12c9 28c7. Find the GCF of 12c9 and 28c7. 4c7 Write each term as a product, where one factor is the GCF. 4c7(3c2) 4c7(7) Use the distributive property. What is the resulting expression? 4(3c9 7c7) 4c7(3c2 7) 4c7(3c9 7c7) 4c7(12c9 28c7).
Factors of a polynomial together constitute the polynomial by multiplication. The factored form of [tex]12c^9 + 28c^7[/tex] is [tex]= 4c^7(3c^2 + 7)[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in [tex]2 \times x = 2x[/tex]
The given polynomial is [tex]12c^9 + 28c^7[/tex]
To factor it, we can use the fact that 12 and 28 are both having 4 as common factor since:
[tex]12 = 4 \times 3 \\28 = 4 \times 7[/tex]
Thus, the given polynomial is factored as:
[tex]12c^9 + 28c^7 = 4 \times 3 \times c^7 \times c^2 + 4 \times 7 \times c^7 = 4c^7(3c^2 + 7)[/tex]
Thus,
The factored form of [tex]12c^9 + 28c^7[/tex] is [tex]= 4c^7(3c^2 + 7)[/tex]
Learn more about factors of a polynomial here:
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Answer:
Factors of a polynomial together constitute the polynomial by multiplication. The factored form of is
What is distributive property of multiplication over addition?
Suppose a, b and c are three numbers. Then we have:
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in
The given polynomial is
To factor it, we can use the fact that 12 and 28 are both having 4 as common factor since:
Thus, the given polynomial is factored as:
Thus,
The factored form of is
Learn more about factors of a polynomial here:
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Step-by-step explanation: