Answer:
The human body contains trillions of microorganisms — outnumbering human cells by 10 to 1. Because of their small size, however, microorganisms make up only about 1 to 3 percent of the body's mass (in a 200-pound adult, that's 2 to 6 pounds of bacteria), but play a vital role in human health.
Step-by-step explanation:
I got it right .
Hope this helps <3 .
solve the equation please
=========================================================
Work Shown:
Let x = log(y+2)
The given equation becomes
4x = 3x-log(13)
Solving for x leads to
4x-3x = -log(13)
x = -log(13)
Then substituting gets us
log(y+2) = -log(13)
log(y+2) = log(13^(-1)) .... use the rule that A*log(B) = log(B^A)
log(y+2) = log(1/13)
y+2 = 1/13 ................. used the rule if log(A) = log(B), then A = B
y = (1/13) - 2
y = (1/13) - (26/13)
y = (1-26)/13
y = -25/13 .... answer is choice E
For each step, the logs are the same base. The base doesn't matter. It can be base 10 or base 2 or base e. As long as the base stays consistent is all that matters. Also, the base cannot be 1, 0 or a negative number. The base can be any other real number.
A triangular pyramid has a height of 51 yards and a base with an area of 225 square yards. What is the volume of the pyramid?
WILL MARK BRAINLEST
PLEASE HURRYYY!!1
Answer:
3,825 y³
Step-by-step explanation:
15.6<2.7(z-1)-0.6 please solve
Answer:
z > 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
15.6 < 2.7(z - 1) - 0.6
Step 2: Solve for z
[Addition Property of Equality] Add 0.6 on both sides: 16.2 < 2.7(z - 1)[Division Property of Equality] Divide 2.7 on both sides: 6 < z - 1[Addition Property of Equality] Add 1 on both sides: 7 < zRewrite: z > 7Here we see that any value z greater than 7 would work as a solution to the inequality.
Anybody know how to solve this?
Answer:
1
Step-by-step explanation:
Anything to the 0 power is 1.
Hope this helps!
:)
Answer:
the answer is one.
Step-by-step explanation:
anything to the power of zero is one
Can someone explain how to get the answer?
Answer:
A = 76
Step-by-step explanation:
Formula of the area of a triangle: [tex]A=\frac{h*b}{2}[/tex]
Formula of a rectangle: [tex]A=l*w[/tex]
So starting with the triangle...You know that the height of the triangle is 7, and the base of the triangle is 8 because the base of the rectangle is the same as the triangle's base...
Now using the formula of the triangle...
A = [tex]\frac{7*8}{2}[/tex]
= 28
Now find the area of the whole retangle...The length of the rectangle is 13 because 7+6=13; the width is 8
Now using the formula of the rectangle...
A = [tex]13*8[/tex]
= 108
Now that you have the areas of both the triangle and the retangle...Do subtraction to find the shaded area...
[tex]108 - 28 = 76[/tex]
In a game called Taxation and Evasion, a player rolls a pair of dice. If, on any turn, the sum is 7, 11, or 12, the player gets audited. Otherwise, she avoids taxes. Suppose a player takes 5 turns at rolling the dice. The probability that she does not get audited is ________.
Answer:
[tex]Probability = \frac{243}{1024}[/tex]
Step-by-step explanation:
Given
[tex]Sum = \{7, 11, 12\}[/tex]
[tex]Rolls = 5[/tex]
Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum
[tex]Outcomes = 36[/tex]
[tex]Sum\ of\ 7 = 6[/tex]
[tex]Sum\ of\ 11 = 2[/tex]
[tex]Sum\ of\ 12 = 1[/tex]
So, in a single roll; The probability of getting audited is:
[tex]p= \frac{1 + 2 + 6}{36}[/tex]
[tex]p= \frac{9}{36}[/tex]
[tex]p= \frac{1}{4}[/tex]
The probability of not getting audited in a single roll is:
[tex]q = 1 - p[/tex] --- Complement rule
[tex]q = 1 - \frac{1}{4}[/tex]
Take LCM
[tex]q = \frac{4 - 1}{4}[/tex]
[tex]q = \frac{3}{4}[/tex]
The probability of not getting audited in 5 rolls is:
[tex]Probability = q^5[/tex]
[tex]Probability = (\frac{3}{4})^5[/tex]
[tex]Probability = \frac{3^5}{4^5}[/tex]
[tex]Probability = \frac{243}{1024}[/tex]
Help please 30 points
Answer:
(22,0)
Step-by-step explanation:
y=mx+b
y=-2/3x+44/3
0=-2x/3+44/3
x=22
(22,0)
1/3 of 3/7
helpp I need to show the work
Answer:
1/7
Step-by-step explanation:
1/3 of 3/7 = 1/3 x 3/7
we can cancel out 3 and 3 because they are multipliers of themselves
so now it is 1/1 x 1/7 = 1/7
Or .
1/3 x 3/7 = 1x3/3x7 = 3/21 = 1/7
what is the aproximite area of a circle with a diameter of 50 cm use 3.14 pi
Answer:
78.5
Step-by-step explanation:
Explain how to find 40% of a number using friendly percents
Answer:
here's your solution
=> percent means divided by 100
=> to find 40% of a number ,
=> we have to think for a number here it
is not given
=> so, we have to assume it , then let the
number be X
=> now ,. equation= 40/100*x
=> 40/100*X
hope it helps
HELP PLS THIS IS DUE SOON- Btw its 7th grade math
Answer:
20 salads
Step-by-step explanation:
25% = 5
55%+20%=75%
75%=15
15+5=20
Answer:
20 salads
Step-by-step explanation:
25/5 = 5
55/5 = 11
20/5 = 4
5+11+4= 20 salads
select ALL expressions that have the same value
A: 33
B: 34
C: 62
D: 63
E: 92
F: 93
Answer:
3 with the exponent on 4 and 9 with the exponent of 2 have the same value
A small town has about 5000 people. A random sample of 100 people finds that 25 are in
favor of a new park. Estimate the total number out of 5000 who are in favor of the park
Answer:
250
Step-by-step explanation:
determine the intercepts of the line
x-intercept _,_
y- intercept _,_
HELP ASAP
Please help!!!!!????
Answer:
I think it's decameter^^
Terrence played video games for 1/3 of an hour and walked his dog for 3/5 of an hour. Did Terrence spend more time playing video games or walking his dog?
Answer:
Terrence spend more time walking his dog .
Step-by-step explanation:
3/5 = 0.6
1/3 = 0.333
0.6>0.333
GIVING 100 PTS AFTER ITS SOLVED I WILL GIVE BECAUSE I CANT TRUST
Answer: A
Step-by-step explanation
bc it seemed legit-
Answer:
A.
Step-by-step explanation:
wish u would have got better grade
Pls help I will give brainliest
I need help with question#15
Answer: I think it’s c
Step-by-step explanation:
PLEASE HELP WITH MARK BRAINLIEST
What is the value of w?
Answer:
26
Step-by-step explanation :
73 - 47 = 26 brainliest?
The mean age at first marriage for respondents in a survey is 23.33, with a standard deviation of 6.13. The Z score associated with a particular age at first marriage is 0.35. If the proportion of the area between this particular age at first marriage and the mean is 0.14, what proportion of respondents experienced their first marriage earlier than this age?
Answer:
42.48
Step-by-step explanation:
I don't know how to explain
What are the means?
Answer:
either 7 and 21 or 1 and 3 I believe I'm terribly sorry if I'm wrong friend
PLEASE HELP
Jason has a business that prints posters. He is working on an order for printing 1500 posters. He only has 400 posters left to print to complete the order.
Jason will only leave for the day if he has printed
7/10 of the posters for the order.
Can he leave for the day right now?
A. No! Jason has only printed 27/100 of the posters needed.
B. Yes! Jason has printed 73/100 of the posters needed.
С. Yes! Jason has printed exactly 7/10 of the posters needed.
D. No! Jason has only printed 29/50 of the posters needed
Answer:
B. Yes! Jason has printed 73/100 of the posters needed.
Step-by-step explanation:
7/10(1500) = 1050 minimum to print
1500-400 = 1100 printed
1100/1500 = 73/100
The frog jumped 7/8 of a foot on the first jump and 2/3 of a foot on the second
jump. How many feet did the frog jump in total?
feet
Pls show mercy!!!!!
What does 4! equal? Show the equation and what it equals
Answer:
4x3x2x1=24
Step-by-step explanation:
Given f(x)=(1/2x)-5, find f^-1(x).
Answer:
[tex]f^{-1}[/tex](x)=2x+10
Step-by-step explanation:
f(x)=[tex]\frac{x}{2}[/tex]-5
Let y= [tex]\frac{x}{2}[/tex]-5
y= [tex]\frac{y}{2}[/tex]-5
x+5= [tex]\frac{y}{2}[/tex]
Both side multiple 2,
2x+10=y
[tex]f^{-1}[/tex](x)=2x+10
The value of an investment decreased by 10%. The original amount was $75.00. What is the current value of the investment?
Answer:
82.5 is the right answer
5. The length of a rectangle is 8 cm more than four times the width. If the perimeter of the rectangle is 86 cm,
what are its dimensions?
a) Write the system of equations:
b) Solve the system to find the dimensions:
HELP PLEASE DUE IN 3 MINUTES
Answer:
No mode ???? I'm not sure
BRAINLIEST
VOLUME OF A SPHERE
Answer:
[tex]\displaystyle V = 972 \pi \ ft^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
V is volumer is radiusStep-by-step explanation:
Step 1: Define
Radius r = 9 ft
Step 2: Solve for V
Substitute in r [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4}{3} \pi (9 \ ft)^3[/tex][Volume] Evaluate exponents: [tex]\displaystyle V = \frac{4}{3} \pi (729 \ ft^3)[/tex][Volume] Multiply: [tex]\displaystyle V = 972 \pi \ ft^3[/tex]Factorise fully 21xcubed -49xsquared
Answer:
7x²(3x-7)
Step-by-step explanation:
21x³ - 49x²
7(3x³ - 7x²)
7x²(3x - 7)