New born = 2.6 × 10¹⁰ cells.
Adult = 4.94 × 10¹³ cells.
How many times more = adult cells ÷ newborn cells
= 4.94 × 10¹³ cells ÷ 2.6 × 10¹⁰ cells
= 1.9 × 10³ cells
∴ adults have about 1.9 × 10³ more cells than newborn babies.A bee colony produced 0.5 pounds of honey, but bears ate 0.2 pounds of it. How much honey
remains?
Answer:
0.3 pounds
Step-by-step explanation:
[tex]0.5 - 0.2 = 0.3[/tex]
find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
n ∈ natural even numbers
Step-by-step explanation:
1 + 3 + 5 + 7 + … + (2n-1)
a = 1b = 2Uₙ = 2n - 1sum of the first n terms :
Sₙ = n/2(a + Uₙ)
Sₙ = n/2(1 + 2n - 1)
Sₙ = n/2(2n)
Sₙ = n²
∴ so, the solution of n is all natural even numbers
Refer to the attachment
Find the slope of the line represented by each table of values
Answer:
-5 is the slope
Step-by-step explanation:
Here is the formula
y2-y1
____
x2-x1
A serving of rice is 3/4 of a cup. How many servings are there in a 3 3/4-cup bag of rice?
Answer:
16 I think
Step-by-step explanation:
Which ordered pair is in the solution set of 2x+y≤−4? Question 6 options: (−2, 2) (2, 2) (−2, −2) (2, −2)
Answer:
-2,-2
Step-by-step explanation:
if you plug the numbers in you get:
(2*-2)+-2≤−4
so that's -4+-2≤−4
which equals -6≤−4
and as always, the bigger the negative number, the less value it has
A cube has a side length of 12 inches. The cube is divided into 8 equal sized sections. What
is the volume of each section?
Answer:
216 cubic inches
Step-by-step explanation:
To find the volume of just the cube:
12 x 12 x 12 = 1728
then to find the volume of the section:
1728/8 = 216
In 1846 the depth of the river was 5 feet deep. In 1847 it dropped to 3.2 feet. This year, 1848, it rose to 6.8 feet. Find the percent for EACH change in river depth
Answer:
1846= 0% change
1847= 3.2/5 ×100 = 64% decrease in river
1848= 6.8/3.2 ×100 = 212.5% increase
( used 3.2 because that was the last record)
Plz complete the table
Answer:
2 and 2
8 and 4
Step-by-step explanation:
Plug the respective x values in to find the y-values or use a GDC.
Solve the simultaneous equations x + 3 y = 14
− x + 2 y = 6
Answer: x=2 y=4
Step-by-step explanation: elimination method attached below.
what other information is needed to prove the two triangles congruent by sas?
Answer:
We know that one pair of sides and one pair of angles are congruent from the diagram. In order to know that the triangles are congruent by SAS we need to know that the pair of sides on the other side of the angle are congruent.
Step-by-step explanation:
HOPE IT HELPS :)
Mai sold t- shirts at a festival and made a profit of $83. She made $5 for each t-shirts she sold. Her total expenses were. How many t-shirts did she sell
Answer:
21 T-shirts, (this is just a thought of what i think i need to do) Hope it helps
Step-by-step explanation:
I think iv seen this question somewhere so did u forget to put 22?
Here is the explaination if u did...
5T -22 = 83
revenue minus expense = profit
5T = 83+22 = 105
T = 105/5 = 21 T shirts sold
Find the exponential function that satisfies the given conditions:
Initial value = 66, decreasing at a rate of 0.5% per week (5 points)
f(t) = 0.5 ⋅ 0.34t
f(t) = 66 ⋅ 1.5t
f(t) = 66 ⋅ 0.995t
f(t) = 66 ⋅ 1.005t
Answer:
C. f(t) = 66 * 0.995^tStep-by-step explanation:
Required function is:
f(t) = 66*(1 - 5/100)^t = 66*0.005^tThe matching option is C
represent the following situations using quadratic equation in standard form
1. If the square of a number is added to 8 times the number, the result is 100
2. Mr. Apoloan wants to lay out a rectangular playground with an area of 30 square feet. The desired length will be 7 times the width
1. If the square of a number is added to 8 times the number, the result is 100.
Let x be the number.
Equation: x² + 8x - 100 = 0
2. Mr. Apoloan wants to lay out a rectangular playground which will contain 30 square feet. The desired length will be 7 times the width.
Area: 30ft²
Length: 7w
Width: w
Area of a rectangle: LW
(7w)w = 30ft²
Equation: 7w² - 30 = 0
What is the slope of the line that goes through the points (9.4) and (3,6)?
(m= ..?)
PLEASE HELP QUICK! 50 POINTS IF YOU HELP!!
I WILL GIVE PERSON BRAINLY IF THEY GET IT RIGHT!!!
match the equations of the lines with their graphs.
Answer:
Assuming the graphs are abcd, 1 is b, 2 is c, 3 is a, and 4 is d.
Step-by-step explanation:
8x - 3x + 2 - x = ax + b
solve for b
Answer:
b = -ax + 4x + 2
Step-by-step explanation:
8x - 3x + 2 - x = ax + b
~Combine like terms
4x + 2 = ax + b
~Subtract ax to both sides
4x - ax + 2 = b
~Rewrite
b = -ax + 4x + 2
Best of Luck!
Solve each absolute value equation
-4[x] + 10 = 50
[tex]\large\boxed{\mathsf{-4[x] + 10 = 50}}\\\large\boxed{\rightarrow\mathsf{-4x + 10 = 50}}\\\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\large\boxed{\mathsf{-4x + 10 - 10 = 50 - 10}}\\\large\text{CANCEL out: 10 - 10 because that gives you 0}\\\large\text{KEEP: 50 - 10 because it helps solve for the x-value}\\\\\large\boxed{\mathsf{50 - 10 = \bf 40}}\\\large\boxed{\mathsf{-4x = 40}}\\\\\large\text{DIVIDE -4 to BOTH SIDES}\\\large\boxed{\mathsf{\dfrac{-4x}{4}=\dfrac{40}{-4}}}[/tex]
[tex]\large\text{CANCEL out: }\rm{\dfrac{-4}{-4}}\large\text{ because that gives you 1}\\\large\text{KEEP: }\rm{\dfrac{40}{-4}}\large\text{ because it gives you the x-value answer}\\\\\large\boxed{\mathsf{x = \dfrac{40}{-4}}}\\\\\large\text{SIMPLIFY IT AND YOU HAVE THE RESULT OF THE X! }\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{x = -10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex] \sf{ \:the \: value \: of \: x = \: ? } \\ [/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex]\textsf{Given equation,}\\[/tex]
[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]
Now, multiply -4 from (x) to get -4x.[tex] \sf{ \Rightarrow \: - 4x + 10 = 50 } \\ [/tex]
Now, +10 will move to RHS then it's sign will be charged -10[tex] \sf{ \Rightarrow \: - 4x = 50 - 10} \\ [/tex]
Subtract 50 from -10 to get 40. Because 50 is greater than -10.[tex] \sf{ \Rightarrow \: - 4x = 40 } \\ [/tex]
[tex] \sf{ \Rightarrow \: x = \cancel\frac{ - {40}^{- 10 }}{4}} \\ [/tex]
[tex] { \: \therefore \: \underline{ \boxed{{ \sf{x = - 10.}}}}}[/tex]
If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences
A fierce guard dog is tethered by a 15 m chain to a post that is 6 m from a straight path. For what distance along the path is a trespasser in danger from the dog?
The distance from the road where an intruder would be in danger is 27.48 m.
To know how far from the road an intruder is in danger due to the dog, it is necessary to carry out the following procedure:
Establish the range of the dog with a circle of 15 meters in radius around the post on which he is tied.
In this part it can be inferred that a part of the path is in the range of the dog between points B and D (In this area the intruder would be in danger)
From this we know the following data:
Length AB = 15mLength AD = 15mLength AC = 6mTo know the length of points BC and CD we must perform a calculation using the formula of the Pythagorean theorem.
BC = [tex]\sqrt{15^{2} - 6^{2} }[/tex]BC = [tex]\sqrt{225-36}[/tex]BC = [tex]\sqrt{189}[/tex]BC = 13,74 mLater we use the same procedure to find the length CD.
CD = [tex]\sqrt{15^{2} - 6^{2} }[/tex]CD = [tex]\sqrt{225-36}[/tex]CD = [tex]\sqrt{189}[/tex]CD = 13,74 mFinally, we add both lengths (BC + CD) to know the distance in which an intruder is in danger within the dog's range.
BC + CD = BD = 27,48 mLearn more in: https://brainly.com/question/14930619
Owen is fishing. he starts with the bait 2 feet below the water. he reels out the bait 19 feet, then he reels it back in 7 feet. what is the final position of the bait
Answer:
the answer is 14
Step-by-step explanation
the math problem is just 2+19-7 or 21-7
What is the slope, m, of a line perpendicular to the line 2x+3y=6
Answer:
m = 3/2
Step-by-step explanation:
3y = -2x + 6
y = -2/3x + 2
Perpendicular slope = inverse = 3/2
 please help me quickly
no random links i will report :)
Answer:
B
Step-by-step explanation:
PLS FINDD THIS THIS IS DUE IN 10 MINNNNNN!!! PLEASE DO WITH CLEAR STEPSS!!! I'LL MARK U BRAINLIEST
Answer:
There is no question to answer.
Step-by-step explanation:
Answer:
Where is the question ?
What is the missing value?
Answer:
I guess 5⁴ is Missing value
how many 5 digit numbers can be formed using all the digits 1, 2, 3, 4, and 5, such that the number is odd and greater than 40000?
Answer:
25
Step-by-step explanation:
Could someone please help answer this, please no spam, thank you will give brainliest, (homework help)!
Answer:
[tex]3b + 3 < - 18 \\ 3b + 3 - 3 < - 18 - 3 \\ 3b < - 21 \\ 3b \div 3 < - 21 \div 3 \\ b < - 7[/tex]
I hope I helped you^_^
help!!! math-----
------------
The answer would be B and D because the slope stays consistent throughout the entire table unlike all of the other options.
Which linear inequality represents the solution set graphed?
A) y ≥ 4x + 5
B) y > 4x - 5
C) y ≥ 4x - 5
D) y > -4x - 5
Answer:
C
Step-by-step explanation:
first of all since the line is solid then we know that the answer is not D or B.
so it has to be either A or C.
now to graph it let's start with A.
you would go up 5 on the y axis and since there isn't enough space go down 4 and to the left 1. the line doesn't match with the one in the picture so A is not the answer.
now let's try with C.
you would go down 5 on the y axis and then go up 4 and to the right 1. the line matches up so C is your answer.
Is this list of numbers an arithmetic sequence?
18,16,14,12,10,…
Answer:
YesStep-by-step explanation:sequence of numbers such that the difference between the consecutive terms is constant.
the constant is 2 (Ex. 18-2=16-2=14....) and your answer is
yes
Find the y-intercept of the line on the graph.
Answer:
The y-intercept is 0
Step-by-step explanation:
The line crosses the y-axis at the center, 0. Therefore the y-intercept is 0.
Answer: -1
Step-by-step explanation: