Answer:
log100=log(400)- log(4)
=log(100x4) - log4
=log100 + log4 -log4
= log100
Step-by-step explanation:
log400 = log 100x4 but log ab = log a + log b
Acellus
Corresponding Angles are congruent.
Which angle corresponds with < 2?
4246 4342
4845 44141
«[?]
Enter
Answer:
<6
Step-by-step explanation:
Corresponding angles have the same matching corner when a transversal line crosses tow straight lines.
Thus, in the diagram given, the angle that has the same matching corner with <2 is the angle that corresponds to <2.
<6 has the same matching corner with <2.
Therefore, <6 corresponds with <2
The volume of a cylinder is represented by the equation V Tarah, where V is the
volume of the cylinder, r is the radius of the base, and h is the height of the cylinder.
Solve the equation in terms of r.
Answer:
[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
The volume of a cylinder is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex] .....(1)
Where
r and h are the radius and the height of the cylinder.
We need to solve the equation of r. Cross multiplying both sides in equation (1).
[tex]3V=\pi r^2h[/tex]
Dividing both sides by [tex]\pi h[/tex]. So,
[tex]\dfrac{3V}{\pi h}=\dfrac{\pi r^2h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\or\\\\r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
So, the radius of the cylinder is equal to [tex]\sqrt{\dfrac{3V}{\pi h}}[/tex].
Prove that the following triangles are similar?
Answer:
You have that:
angle N = angle Z
and
angle ZYX = angle NYM (because they are vertical angles
Since you have two congruent angles, you can say that the two triangles are similar according to the AA Triangle Similarity Postulate.
[tex]1/5(6+3+1)^{2}[/tex]
Corey records the temperature in degrees Celsius each morning. At 8am the temperature was 3 degrees below zero. It rose 3 degrees by 10am. Which equation shows the change in temperature from 8am to 10am?
A 3+3=6
B-3+3=0
C-3+3= -6
D-3-3= -6
help!!!!!!!!!!!!!!!!
What is four plus eight
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
you take the number 8 and then you add 4. and you find yourself with the answer 12
Give me the answer please
A line that includes the point (7, 3) has a slope of -6. What is it equation in point-slope form?
Answer:
Y-3=-6(x-7)
Step-by-step explanation:
Y-y1=M(x-x1)
Y-3=-6(x-7)
Y-3=6x-42
Add 3 to both sides
Y=6x-39
Welp, I gave you slope intercept form and point slope form.
Can someone please help me complete the factoring of the polynomial
The scores on a 100 point exam are normally distributed with a mean of 80 and a standard deviation of 6. A student's score places him between the 69th and 70th percentile. Which of the following best represents his score?
Answer:
85-89
Step-by-step explanation:
I will give brainliest
Answer:
Refer the attachment for explanation :
Gretchen has the highest ratio of blue and red marbles.
Hope it helps :)
The circumference of the smaller circle is 20% of the circumference of the larger circle. Find the circumference of the larger circle. Round your answer to the nearest tenth.
Answer:
92.5
Step-by-step explanation:
ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST!!!!!!!!!!!
Answer:
x = 1 and y = -2
Step-by-step explanation:
Given that,
2x-3y = 8 ..(1)
4x+3y = -2 ..(2)
Add equation (1) and (2),
2x-3y+4x+3y = 8+(-2)
6x = 6
x = 1
Put the value of x in equation (1).
2-3y = 8
2-8 = 3y
-6 = 3y
y = -2
Hence, the value of x is 1 and that of y is -2.
Please hurry
Which table contains data with a nonproportional relationship?
Do you guys see 4 picture?
Answer: x
Step-by-step explanation:
Determine if the pairs of expressions below are always equivalent. Prove your answer
A. 4n + 12 and 4 (n +3)
B. m + m 3m and 3m + 2
C. 4x + 8y and 4 (x + 8y)
D. 3 (2t + 2 ) and ( t + 1 ) x 6
E. p + p and p + 7
Tom is 10 years younger than Becky. In two years, Becky will be twice as old as Tom. How old is Tom now?
Answer:
20
Step-by-step explanation:
Answer:
tom is 8 and becky is 18 now
Step-by-step explanation:
in two years becky would be 20 and tom will be 10
hope this helps
The recipe calls for 2 2/4 but jams only have 1/4 how many cups do jams need to measure out 2 2/4 cups of raisins
Answer:
brainliest
Step-by-step explanation:
she needs altogether 2 2/4.
that is 2 wholes and 2/4 fraction.
if we consider using 1/4 cup, 1 whole is made of four quarter cups.
Therefore 2 wholes require eight quarter cups. then theres a remaining fraction of 2/4 which is equivalent to two quarter cups.
1/4 + 1/4 = 2/4. therefore altogether 8 + 2 = 10 of the 1/4 cups are required for the recipe.
10 of 1/4 cups are needed
The ratio of cats to dogs is 5:4 in Riverside. If there are 20 dogs, how many cats live in Riverside?
Select one:
25
20
30
16
Answer:
25
Step-by-step explanation:
c to d is 5 to 4
5x5=25
fffff
Answer:
25
Step-by-step explanation:
We need to divide 20 by 4 to see how much 1 equals in this problem.
20÷4=5
5 equals 1
Now we add 5 to 20 because the ratio is 5:4.
20+5=25
Our answer is 25.
Solve the inequality for x= 1 + 2x > -23
Answer:
x = -12
Step-by-step explanation:
1 + 2x > -23
-1
2x > -24
x < -12
what is 8x5 please help
Answer:
8x5 equals 40.
Step-by-step explanation:
Answer:
8x5 is 40, hope that helped :)
Please help!! Only correct answers please! (Easy?)
Answer:
sorry no can't do i have cancer
Step-by-step explanation:
The probability that John will drive to school is 0.36 , the probability that he will ride with friends is 0.11 , and the probability that his parents will take him is 0.53 . He is not allowed to have passengers in the car when he is driving. What is the probability that John will have company on the way to school?
Answer:
0.64 = 64% probability that John will have company on the way to school
Step-by-step explanation:
John will have company when:
He rides with his friends(0.11 probability).
His parents take him(0.53 probability).
What is the probability that John will have company on the way to school?
0.11 + 0.53 = 0.64
0.64 = 64% probability that John will have company on the way to school
Please help asap pls only 1 question I need to finish pls this is middle school homework
Answer:
a,d,b,c
Step-by-step explanation:
We wish to modify the cellular telephone coding system in order to reduce the number of errors. In particular, if there are two or three zeroes in the received sequence of 5 bits, we will say that a deletion (event D) occurs. Otherwise, if at least 4 zeroes are received, then the receiver decides a zero was sent. Similarly, if at least 4 ones are received, then the receiver decides a one was sent. We say that an error occurs if either a one was sent and the receiver decides zero was sent or if a zero was sent and the receiver decides a one was sent. For this modified protocol, what is the probability P[E] of an error? What is the probability P[D] of a deletion?
Solution :
Here, we have 5 trails that corresponds to the 5 times the binary symbol is sent. On each trail, success is said to occur when the binary symbol is received correctly. The probability of a success is p = 1 - q = 0.9 and q = 0.1
Now if the 0 is being transmitted, then the 0 is sent 5 number of times and then we call the decoding a 0 success. Let the repeated transmission are independent. In this case, we have 5 trails. Let each repeated bit the receiver decodes as 1 a success, using the binomial probabilities. We using the [tex]$S_{k,5}$[/tex] to denote an event of [tex]$k$[/tex] successes in the 5 trails, then the probability k are decoded at the receiver is:
[tex]$P[S_{k,5}]=\binom{5}{k}p^k(1-p)^{5-k}$[/tex]
[tex]$=\binom{5}{k}(0.9)^k(1-0.9)^{5-k}$[/tex]
[tex]$=\binom{5}{k}(0.9)^k(0.1)^{5-k}$[/tex]
Here, k = 1, 2, 3, 4, 5
The probability of the transmitted bit to be decoded correctly is:
[tex]$P[C]=P[S_{5,5}]+P[S_{2,5}]$[/tex]
[tex]$=\binom{5}{3}(0.9)^5(0.1)^{0}+\binom{5}{4}(0.9)^4(0.1)^1$[/tex]
[tex]$=(0.9)^5+5(0.9)^4(0.1)^1$[/tex]
= 0.91854
The probability that the deletion occurs is
[tex]$P[D]=P[S_{3,5}]+P[S_{2,5}]$[/tex]
[tex]$=\binom{5}{3}(0.9)^3(0.1)^{2}+\binom{5}{2}(0.9)^2(0.1)^3$[/tex]
[tex]$=10(0.9)^3(0.1)^2+10(0.9)^2(0.1)^3$[/tex]
= 0.081
The probability of an error is
[tex]$P[E]=P[S_{1,5}]+P[S_{0,5}]$[/tex]
[tex]$=\binom{5}{1}(0.9)^1(0.1)^{4}+\binom{5}{0}(0.9)^0(0.1)^5$[/tex]
[tex]$=5(0.9)^1(0.1)^4+(0.1)^5$[/tex]
= 0.00046
Evaluate the expression.
3×2⁴
Which of the following options have the same value as 96% of 25?
Choose 2 answers:
96
100
• 25
Pro
B
0.96 - 25
Tea
0.96 . 0.25
96 25
100 100
96 - 25
Answer:
A
Step-by-step explanation:
yyjvgyujjjjuyrcjkoiffffgy
Solve the following system of equations by substitution. Which of the following is the solution?
Answer:
It is (1,5) :)
find the value of x
Answer:20
Step-by-step explanation:
the other side is a mirror it would be 20 as well
The ratio of two numbers is 7 to 5. The sum of the numbers is 36. What are the numbers?
A. 26 and 10
B. 18 and 8
C. 21 and 15
D. 14 and 10
Answer:
Step-by-step explanation:
a/b=7/5
a=7b/5
a+b=36, using 7b/5 for a we have
7b/5+b=36
7b/5+5b/5=36
12b/5=36
12b=180
b=15, and since a=7b/5
a=7(15)/5
a=21
So the numbers are 21 and 15
Answer:
C is the correct answer please like for more