Answer:
The answer is 3
Step-by-step explanation:
Write the expression as a single natural logarithm. 3 ln 6 + 4 ln x
Answer:
ln(216[tex]x^{4}[/tex] )
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log(xy)
log [tex]x^{n}[/tex] ⇔ n log x
Given
3ln6 + 4lnx
= ln 6³ + ln[tex]x^{4}[/tex]
= ln (216[tex]x^{4}[/tex] )
without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct
Answer:
The shapes are the same, just one is sideways. They also have very similar measurements.
Step-by-step explanation:
Even so, when we check this we get:
(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2
when simplified (solved) this is: 18 3/8 = 18 3/8
Larry the librarian and Courtney the lawyer are having a debate. Larry contends that the library is bigger than the courthouse in terms of area. Courtney contends the opposite.
To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below).
The area of the library is
\text{m}^2m
2
start text, m, end text, squared.
Round the final answer to the nearest square meter. Do not round intermediate calculations.
The area of the courthouse is
\text{m}^2m
2
start text, m, end text, squared.
Round the final answer to the nearest square meter. Do not round intermediate calculations.
Answer:
Library's Area= 5200
Courthouse' Area= 5027
Larry is correct.
Step-by-step explanation:
Solve for k. Describe the steps taken to find the solution.
8 + 10 - 6k = 6(4 - k)
Answer:
no solutions
Step-by-step explanation:
8 + 10 - 6k = 6(4 - k)
Distribute
8 + 10 - 6k = 24 -6k
Combine like terms
18 -6k = 24 -6k
Add 6k to each side
18 - 6k +6k = 24 - 6k+6k
18 = 24
This is never true so there are no solutions
Hey there! I'm happy to help you out!
To solve for k, we have to isolate it on one side of the equation and put all the constants on the other side.
The first thing we need to do is get the k on the right side out of parentheses. To do this, we will use the distributive property!
8+10-6k=24-6k
Now, we will combine like terms.
18-6k=24-6k
We want to get all the ks on the left side and all the constants on the right. Let's add six k to both sides to cancel out the -6k on the right.
18=24
As you can see, our variables canceled out. This is because our equation was saying 18 minus six of something was equal to 24 minus six of something, which makes no sense because that doesn't work!
We are left with 18=24, which isn't even a true equation! Therefore, there is no solution to this equation.
I hope that this helps! Have a wonderful day!
The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that at least one egg is cracked. Write the entire decimal answer.
Answer:
[tex]P(X \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]
[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]
And replacing we got:
[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]
Step-by-step explanation:
Let X the random variable of interest "number of craked eggs", on this case we now that:
[tex]X \sim Binom(n=2, p=0.01)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
And we want to find this probability:
[tex]P(x \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]
And we can find the probability:
[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]
And replacing we got:
[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]
what is the surface of the square pyramid ?
A. 168,750 square yards
B. 5625 square yards
C. 14,625 square yards
D. 20,250 square yards
(50 points)
Answer:
D. 20,250 square yards
Step-by-step explanation:
Base + 4 triangles
(75×75) + 4(½×75×97.5)
5626 + 14625
20250 yd²
The image of the point (1, -2) after a rotation of 180° about the origin is
(-2, 1)
(2, -1)
(-1, 2)
Answer:
(-1,2)
Step-by-step explanation:
Found answer on brainly.
Answer:
(-1,2)
Step-by-step explanation:
In this problem, the signs are switched because there is a rule to 180 rotation that is (x,y) to (-x,-y).
(1,-2)×(-1x, -1y)= (-1,2) .
if both points were negative, the points would be positive. if they were positive, they would be negative.
E=mc
(the 'c' is squared btw.. it has a little 2 at upper right conner)
To solve for " m " in the formula shown above, you should:
Select one:
a. A.) Divide both sides of the equation by c squared.
b. B.) Subtract c squared from both sides of the equation.
c. C.) Multiply both sides of the equation by c squared.
d. D.) Add a negative c squared to both sides of the equation.
Answer:
A
Step-by-step explanation:
Divide both sides of the equation by c²
If A and B are independent events and P(A) = 0.8 and P(A and B) = 0.3, find P(B).
*
3/8
6/25
8/3
25/6
Answer:
6\25
Step-by-step explanation:
Please help! I will give you brainliest !
Answer:
70 and 21
Step-by-step explanation:
6parts of the ratio represents 84 students
Divide 84 by 6 to find the value of one part of the ratio
84 ÷ 6 = 14 ← value of 1 part of the ratio, thus
5 parts = 5 × 14 = 70 ← number of Michigan students
Indiana students = 175 - (84 + 70 ) = 175 - 154 = 21
Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offering her 5.6% interest per year. For how long will she have to leave her money in the bank in order to reach her goal of $10,000?
Answer:
Number of year to get $10,000 as interest = 7.5 year (Approx)
Step-by-step explanation:
Given:
Initial investment = $20,000
Interest on investment = $10,000
Rate of interest = 5.6% = 0.056
Find:
Number of year to get $10,000 as interest:
Computation:
[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]
Number of year to get $10,000 as interest = 7.44
Number of year to get $10,000 as interest = 7.5 year (Approx)
Complete section for 18 points.
Answer:
2,3,4,6, and 8
Step-by-step explanation:
2 is divisible by 24 because it is a multiple of 24
3 is divisible by 24 because it is a multiple of 24
4 is divisible by 24 because it is a multiple of 24
6 is divisible by 24 because it is a multiple of 24
8 is divisible by 24 because it is a multiple of 24
i am not sure about the explain.
i suck at explaining things
Test each of the following to see if it is divisible by 2,3,4,5,6,8,9,10, or 25 and say why.
1)24Answers:
Divisible by 2: yes, because it is an even number. The even numbers are those which end in 0, 2, 4, 6, or 8. Result: 24/2 = 12
Divisible by 3: yes, because the sum of its digits is a multiple of 3: 2 + 4 = 6 is a multiple of 3. Result: 24/3 = 8
Divisible by 4: yes, result: 24/4 = 6
Divisible by 5: no, because a number is divisible by 5 if it ends in 0 or 5.
Divisible by 6: yes, because it is divisible by 2 and by 3, then it is divisible by 6. Result: 24/6 = 4.
Divisible by 8: yes, result: 24/8 = 3
Divisible by 9: no, because the sum of its digits is not a multiple of 9.
Divisible by 10: no, because a number is divisible by 10 if it ends in 0.
Divisible by 25: no, because 25 is a number greater than 24.
SpymoreWhich product of prime polynomials is equivalent to 4x°- 6x
• 44³ _ 6x²2
O 2x2(x + 1)(2x - 3)
O 2x²(x2 - 1)(2x + 3)
O x2(x + 1)(2x - 3)
O2(x2 - 1)(2x + 3)
Answer:
the answer is O 2x (x2-1)(2x+ 3)
Answer:
The correct answer is 2x^2(x^2 + 1)(2x - 3)
Step-by-step explanation:
First, you would factor out a single factor out of all of them, which is 2x^2. So, you would have 2x^2 (2x^3 - 3x^2 + 2x - 3) Then, you would use double grouping. When you have double grouped, you will have x^2(2x-3) and 1(2x-3) for the factors. The final factors for that is (x^2 + 1) and (2x - 3), then you would just put 2x^2 in the front to give you the final factorization and the correct answer stated at the top.
The radius of a circle is 4 miles. What is the area of a sector bounded by a 180 arc?
Answer:
The area of sector is [tex]25.12 miles^2[/tex]
Step-by-step explanation:
Radius of circle = 4 miles
We are supposed to find the area of a sector bounded by a 180 arc
[tex]\theta = 180^{\circ}[/tex]
Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]
Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]
Area of sector = [tex]25.12 miles^2[/tex]
Hence The area of sector is [tex]25.12 miles^2[/tex]
Can some one help me???
Answer:
You will break even with the cost of your supplies equals your income how many cups of your hot chocolate and less you sell to break even
Step-by-step explanation:
Hunter assumed he would get 64 problems correct on his test, but he actually got 78 correct. What was his percent error? Round to the nearest percent
Answer:
=82%
Step-by-step explanation:
64:78*100=82%
ASAP MULTIPLE CHOICE:
Which equation could be solved using this application of the quadratic formula?
A. -2x2 − 8 = 10x − 3
B. 3x2 − 8x − 10 = 4
C. 3x2 + 8x − 10 = -8
D. -2x2 + 8x − 3 = 4
Answer:
3x^2 +8x -10=-8
Step-by-step explanation:
A quadratic equation is
ax^2 + bx +c=0
has a formula
-b ± sqrt( b^2 -4ac)
--------------------------
2a
We know a = 3 b = 8 and c = -2
3x^2 +8x -2=0
Subtract 8 from each side
3x^2 +8x -2 -8=0-8
3x^2 +8x -10=-8
That is choice C
Answer:
C.
Step-by-step explanation:
Consider equation C:
3x^2 + 8x - 10 = -8
3x^2 + 8x - 2 = 0
Here a = 3, b = 8 and c = -2
Applying the quadratic formula:
x = [-b +/- √(b^2 - 4ac)] / 2a
x = [-8 +/- √(4(3)(-2)] / 2(3)
- which is the one in the question.
So it is equation C.
In a Normal Distribution. What percentage of the values lie below the Mean?
100%
75%
25%
50%
Answer:
50%
Step-by-step explanation:
The mean ideally should be in the exact middle
When Sophia runs the 400 meter dash, her finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 1.1 second. What probability of races will her finishing time be between 74.2 and 76.4 seconds?
Round to the hundredths place (2 places after the decimal)
Answer: 90% of the time.
Step-by-step explanation: This is because you can add the two different times and the standard time of 75 seconds, divide it all by 3 leaving you with 75.2 and that is 0.2 away from the original between those times all together. Take that 0.2 and subtract it from the 1.1 deviation and you’ll get 0.9 times that by 100 and you get it in a percentage; 90%.
Solve the following problem:
Given: △SAL, SA = LA
AT − ∠bisector
Prove: m∠L = m∠S
Answer:
[tex]\angle L=\angle S[/tex] using congruence rule
Step-by-step explanation:
Given: ΔSAL, SA = LA and AT is the bisector of [tex]\angle A[/tex]
To prove: [tex]\angle L=\angle S[/tex]
Proof:
Two triangles are congruent if they have same shape and same size.
Consider triangles ALT and AST
AL = AS
As AT bisects [tex]\angle A[/tex], [tex]\angle LAT=\angle SAT\\[/tex]
AT = AT (common side)
So, [tex]\Delta ALT\cong \Delta AST[/tex] ( by SAS congruence rule )
Here, SAS denotes side-angle-side
[tex]\angle L=\angle S[/tex] (using corresponding parts of congruent triangles)
Hence proved
Explanation:
First, we know that △ALT ≅ △AST, because of Side Angle Side Theorem. Next, we know that AL ≅ AS, because it's given.
Since A = A, we can remove A and it gives us m∠L = m∠S.
If you need to show work in math terms, your answer should look something like this:
1. △ ALT ≅ △AST - SAS
2. AL ≅ AS - Given
3. m∠ L ≅ m∠S
Hope this helped!
Is it easier to calculate surface area of a net or 3D figure? Explain your reasoning.
Answer:
I think it is easier to calculat the surface area with a net.
You get to see the 3d picture in 2d so it is easy to find the area of the shape.
Can someone pls help
Answer:
a=he went back home
b=speed=240km/h
Step-by-step explanation:
ps: wouldn't mind brainliest
Answer:
a) Jo moved 1 kn from her starting position at minute 10
b) 0.13 km/min
Step-by-step explanation:
Look at the picture
three-fourths the square of a number
Answer:
i think it is D i am sorry if it is wrong
Step-by-step explanation:
Will mark brainliest!
Answer:
48
Step-by-step explanation:
6*8 = 48
I've seen you so "Will mark brainliest," many times today. Do not export people if that is what you're doing.
Answer:
Your answer is 48 sq. ft.
Step-by-step explanation:
Why? Because A= L(W) Therefore, A= 8(6)=48
Help me I will give you brainliest!!!!
Answer:
2/36
Step-by-step explanation:
There are 36 possibilities when rolling a die
There are 2 that sum to 11
P (sum of 11) = sum of 11/ total
=2/36
1/18
What is the area of the triangle?
A right triangle with side lengths 3 inches, 4 inches, and 5 inches.
A.6 square inches
B.7 and one-half square inches
C.10 square inches
D.12 square inches
Answer:
The answer is A. 6 square inches
Step-by-step explanation:
The area of a triangle is half the product of the height and base
What is the constant of proportionality between y and x in the graph
Answer:
I think its 2
Step-by-step explanation:
I counted by ones and then i found that the pint is between 4 and 2 so when i divided 4 by 2 and i got 2
Hope this helps Ask if i am wrong Brainliest plzWhich theorem or postulate could be used to prove the congruence of the triangles?
Answer:
Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Step-by-step explanation:
The postulate used to prove the congruence of the triangles is ASA.
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two right triangles.
∠90° = ∠90°
side = side (given)
Angle = Angle (given)
By ASA (angle side angle)
The triangles are congruent.
Thus,
The postulate is ASA.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
The area of a square is 196 square meters. What is
the length (in meters) of one side of the square?
Answer:
14 meters
Step-by-step explanation:
A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.
Adam and Martha each performed a simulation.
Adam's simulation
• He tossed a fair coin 4 times.
• Each time the coin landed with tails face up.
Martha's simulation
• She randomly chose 1 block from each of two bags containing blocks.
• Each block she chose was labeled with the letter R.
The probability for both Adam's and Martha's simulation were the same. Which two bags could be the
ones Martha used in her simulation?
Answer:
Its D
Step-by-step explanation:
