Answer:
Introduction. Cellular survival depends on an organism's ability to respond and adapt to extracellular signals in its environment. Signal transduction is, therefore, an important biologic process, allowing cells to react to a variety of these extracellular stimuli and respond adaptively.
Ms. Wilson bought 5 pencils for w dollars. Each pen costs 35 cents more than a pencil.
Enter an algebraic expression for each statement in terms of w in the boxes.
a) The cost, in dollars, of a pen. $
b) The number of pencils that Ms. Wilson can buy with 20 dollars.
Algebraic expression for each statement in terms of w would be:
Each pencil will cost: w/5.
A pen will cost: w/5 + 0.35
Number of pencils 20 dollars will buy = w/5 = 20/5 =4 pencils.
What is an Algebraic Expression?Algebraic expression in mathematics is an expression that is made up of variables, constant, and mathematical symbols, which can be used to represent a statement.
Thus:
Let w represents the price for 5 pencils.
Each pencil will cost: w/5.
A pen will cost: w/5 + 0.35
a. cost in dollars for a pen = w/5 + 0.35
b. Number of pencils 20 dollars will buy = w/5 = 20/5 =4 pencils.
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Find the equation of the straight line which cuts off intercepts -5 and 3 on X-axis and Y-axis respectively.
By using the concept of equation of a Straight line,we arrive to the conclusion that the equation of the straight line which cuts off intercepts -5 and 3 on X-axis and Y-axis respectively is 5x - 3y + 15 = 0.
Interception is the point where any line or curve crosses the axis.If the point of crossing line in x-axis then it is known as x-intercept .Similarly, if the point lies on y-axis is is named as y-intercept.
Here,according to the quesion:
x-intercept of the line is,a= -5
y-intercept of the line is,b= 3
The equation of the line here by formed with intercepts is:
[tex]x/a +y/b =1[/tex]
therefore x/(-5) + y/3 =1
- 5x+3y = 15
5x -3y+ 15=0
So,the equation of the mention line is 5x -3y+ 15=0
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Mo is thinking of a number. Eleven more than one third of the number is -1. Find Mo's number
Answer:
the letter is answer F
Step-by-step explanation:
Hope this is good
What is the greatest perfect square that is less than 55
Answer:
[tex]\sqrt{49}[/tex]
Step-by-step explanation:
[tex]\sqrt{49} =7[/tex]
The square root of 49, which is the greatest perfect square that is less than 55.
A perfect square that is the nearest, greater perfect square to [tex]\sqrt{49}[/tex] is [tex]\sqrt{64}[/tex].
There are no other perfect squares in between [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex] there are only decimals.
Therefore, [tex]\sqrt{49}[/tex] is your answer.
Proof:
[tex]7^{2} =49[/tex]
[tex]8^{2}=64[/tex]
PLEASE HELP LAST QUESTION OF THE DAY *MAYBE* I WILL BE GIVING 50 POINTS TO EXPLAINED ANSWERS
Answer:
Table and graph attached
Step-by-step explanation:
Hope this helps :)
how long will 24 cans of soda last?
Answer:
it depends on the circumstances
Step-by-step explanation:
Answer:
6-9 months I'm pretty sure
HELP! Please? BRAINLiEST!!!!!!!!
Answer:
Subtract 7
Step-by-step explanation:
18 - 7 = 11
15 - 7 = 8
9 - 7 = 2
Hope this helps!
Answer:
subtract 7
Step-by-step explanation:
Ex: 18 to 11
18-7=11
Ex: 15 to 8
15-7=8
helpp.... -_-llllllllllll
Answer:
I believe that it is 812 tiles.
Step-by-step explanation:
Answer:
812 tiles
Step-by-step explanation:
28 feet by 29 feet is 812, each tile is 1 square foot. This means that there are 812 tiles.
A swimming is filled at a constant rate.when half full the pool had 7500 litres poured into it.a) what fraction has still to be put into the pool?b)How much water will be needed when 5000 litres is already in the pool?
Answer:
A. 1/2 has still to be put in the pool, if we already have 7500 litres in the pool and that's half we need 7500 more which is another half.
B. if 7500 is half the amount that can fit in the pool it means that when the pool is full there are 15000 litres of liquid in the pool meaning that if there is barely 5000 litres we are barely 1/3 of the way done. but if the question is asking if we add 5000 to the 7500 already in the pool we will have 12500 out of the 15000 required to fill the pool, this fraction simplified would be 5/6
Sunshine had $29 and used $10,how much does she have left?
Answer:
Sunshine has $19 left after spending $10.
Step-by-step explanation:
29 - 10 = x
Subract 10 from 29 to solve for x.
x = 19
5/14 x 4/3 in fraction form
Answer:
the correct answer is 1 29/42
Step-by-step explanation:
Answer:
10/21
Step-by-step explanation:
5/14×4/3 =
5 × 4 1
4 × 3=
20/42
20 ÷ 2
42 ÷ 2
= 10/21
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Ayuda por favor
x^(2)+2x-a^(2)-4a-3
Translating:
Please help
I believe you want me to factor it, so:
( x + 1/2 )^2 + ( a - 2 )^2 - 14/2
Answer:
[tex]x=a+1,\:x=-a-3[/tex]
Step-by-step explanation:
Remove parenthesis:
[tex]x^2+2x-a^2-4a-3=0[/tex]
[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-a^2-4a-3\right)}}{2\cdot \:1}[/tex]
[tex]x_{1,\:2}=\frac{-2\pm \:2\left(a+2\right)}{2\cdot \:1}[/tex]
[tex]x_1=\frac{-2+2\left(a+2\right)}{2\cdot \:1},\:x_2=\frac{-2-2\left(a+2\right)}{2\cdot \:1}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=a+1,\:x=-a-3[/tex]
Please help! Urgent!
Answer:
No
Step-by-step explanation:
To check if 2 expressions are equal to each other you can set them equal to each other. If, after you simplify, the equation is true, then they are equal. If it is not, then the expressions are not equal.
So, set up the equation3(4x-2)=12x-2
Then, distribute the 3 to 4x and 212x-6=12x-2
From this point, you can probably tell that they will not be equal. But, if you wanted to continue, the next step would be to add 6 to both sides12x=12x+4
Then, subtract 12x from both sides0=4
The statement 0=4 is not true. This means that the expressions are not equal.
The points (-1, r) and (3, -4) lle on a line with slope - 2. Find the missing coordinate r.
Answer:
r=4
Step-by-step explanation:
Slope=change in y/change in x
r-(-4)/-1-3=-2
r+4=-2*-4
r=4
Triangle ABC has the given measures. Solve the triangle(s), if any exist.
A = 162°, a = 6.1, b = 4
How many triangle(s) can possibly be formed?
Answer: why is there two a’s?
Step-by-step explanation:
if those are the correct angles then 1 can be formed because every triangle always adds up to 180
Answer:
answer is 1
Step-by-step explanation:
I honestly made a lucky guess
Another one? Please help.
Thank you so much!
Hi there!
8.
Recall the following properties:
[tex]\frac{1}{x^{-a}} = x^a\\\\x^0 = 1[/tex]
Thus, we can rearrange the expression in parts.
[tex](3x)^0 = 1\\\\x^4 = x^4\\\\y^{-4} = \frac{1}{y^4}\\\\\frac{1}{x^{-3}} = x^3\\\\\frac{1}{y^{-7}} = y^7[/tex]
Now, combine these terms:
[tex](1) * x^4 * \frac{1}{y^4} * x^3 * y^7 = \frac{x^4 * x^3 * y^7}{y^4}[/tex]
More properties:
[tex]x^a * x^b = x^{a + b}\\\\\frac{x^a}{x^b} = x^{a - b}[/tex]
Rewrite:
[tex](1) = x^{4 + 3} * y^{7 - 4} = \boxed{\text{D) } x^7y^3}[/tex]
9)
Begin by solving the inside of the parenthesis.
[tex](3^2 + 3^0)^2 = (9 + 1)^2 = 10^2 = 100\\\\(6^{-2} + 3)^0 = 1\\\\100 - 1 = \boxed{ \text{ B. 99}}[/tex]
10)
Simplify the inside of the parenthesis using the above properties.
[tex](\frac{x^2y^5z^3}{xy^7})^{-2} = (\frac{xz^3}{y^2})^{-2}[/tex]
Since there is a negative in the outside exponent, we must take the reciprocal. (flip the numerator and denominator).
[tex]=( \frac{y^2}{xz^3})^2[/tex]
Square both the numerator and denominator.
Recall the property:
[tex](x^a)^b = x^{ab}[/tex]
[tex]= \frac{y^{2*2}}{x^2 * z^{3 * 2}} = \boxed{ \text{C. }\frac{y^4}{x^2z^6}}[/tex]
Which of the following systems of equations has infinitely many solutions?
Answer:
C. y = x + 4, 2y = 2x + 8Step-by-step explanation:
The system has infinitely many solutions if the two equations are equivalent.
We can analyze the given systems to see:
A)
2x + 7x + y = 6 ⇒ 9x + y = 6 ⇒ y = - 9x + 6y = 9x + 6Different slopes, there is one solution
B)
y = 5x + 7y = 2x + 8Different slopes, there is one solution
C)
y = x + 42y = 2x + 8 ⇒ y = x + 4Same lines, infinitely many solutions
D)
7x - y = 10 ⇒ y = 7x - 10y = 6x + 8Different slopes, there is one solution
Solution:
When two equations are equivalent, it is infinitely many solutions because the two lines overlap each other.
Option A - 2x + 7x + y = 6 and y = 9x + 6
=> (9x + y = 6) = (y = 9x + 6)=> (y = -9x + 6) ≠ (y = 9x + 6)Option B - y = 5x + 7 and y = 2x + 8
=> (y = 5x + 7) ≠ (y = 2x + 8)Option C - y = x + 4 and 2y = 2x + 8
=> (y = x + 4) = (2y = 2x + 8)=> (y = x + 4) = (y = 2x/2 + 8/2)=> (y = x + 4) = (y = x + 4)Option D - 7x - y = 10 and y = 6x + 8
=> (7x - y = 10) = (y = 6x + 8)=> (-y = -7x + 10) = (y = 6x + 8)=> (y = 7x - 10) ≠ (y = -6x - 8)Hence, Option C is correct.
Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
248 legs. Assuming there are no mutations in the animals, determine exactly how many ducks and
cows he saw. Let X represent the number of ducks and y represent the cows.
Total Equation:
Legs Equation:
How many ducks?
How many cows?
Answer:
y= 43
x= 37
Step-by-step explanation:
Legs: (43 x 4) + (37 x 2) = 248
Heads: 43 + 37 = 80
kindly answer it ....
some problem , pls refer the attachment for your answer
Hope it helps ~
Answer this question Please!! (50 point's)
Answer:
0.875
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator. Have a good day :)
Mrs. Nguyen thought that she had $40 in her wallet. She actually has $48. What is her percent error? (Round to the nearest percent.)
Answer:
20%
Step-by-step explanation:
(final - initial)/initial
48-40)/40
8/40
1/5
or 20% error
Explain the 'price effect' for normal 'substitutes' and 'complementary' goods.
Answer:
When the price of a good that complements a good decrease, then the quantity demanded of one increases and the demand for the other increases. When the price of a substitute good decreases, the quantity demanded that good increases, but the demand for the good that it is being substituted for decreases.
#8 please write in slope intercept form!
Answer:
we dont know 888484b484 94y48 84y
Step-by-step explanation:
we dont kbow 1298474add on to it and see rther but if not ok
Janica’s father is laying square tiles in her room. The length of the side of the tile is 1 foot. Janica’s room is 13 feet by 11 feet. How many tiles will her father use?
x+4=2
what is the qeasoun of this
[tex]x\\[/tex]Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
[tex]x+4=2[/tex]
we want to solve for [tex]x[/tex] so we will let [tex]x[/tex] alone and we will move [tex]4[/tex] to the other side of the equation with an opposite sign ( if it was positive then it will move to the other side with a negative sign, and the opposite is correct ):
[tex]x=2-4[/tex]
solve :
[tex]x=2-4 \\x=-2[/tex][tex]x=2-4[/tex]
[tex]x=-2[/tex]
now [tex]x[/tex] is equal to [tex]-2[/tex]
Answer:
x = -2
Step-by-step explanation:
x + 4 = 2
x + 4 - 4 = 2 - 4
x = - 2
Need help please 4x + Y = 1
, x + 2y = 9 rewrite equation into slope intercept form (y=mx+b)
Answer:
Given and Explained Below.Step-by-step explanation:
slope intercept form: y = mx + b ............where m is slope and b is y-intercept
1st question:
4x + y = 1
y = 1 - 4x
y = -4x + 1
2nd question:
x + 2y = 9
2y = 9 -x
y = (-x + 9)/2
y = [tex]-\frac{1}{2}x + 4.5[/tex]
Solve the inequality and graph the solution. – 8g–13≥3
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: g ≤ −2
Step-by-step explanation:
\frac{2^{2}}{2^{-7}}\times 2\normalsize?
2
−7
2
2
×2?
\frac{x^{\frac{5}{4}}y^{\frac{10}{3}}}{2}
The complement in the following sentence is
My uncle drives a new car.
1. car
2. drives
3. new
Btw it's not new I tried but it said it was wrong, thanks!
Answer:
belve t would be drives
Step-by-step explanation:
Hope ths helps.