Answer:
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
rate of change or slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]
y = mx + b
"b" is y-intercept
~~~~~~~~~~~~~~~~~~~
How much pure alcohol must a pharmacist add to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution? ASAP
20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.
Let x represent the volume of pure alcohol (100%) in cm³ needed to be added. Hence:
x * 100% + 10 cm³ * 10% = 70% * (x + 10 cm³)
x * 1 + 10 * 0.1 = 0.7 * (x + 10)
x + 1 = 0.7x + 7
x - 0.7x = 7 - 1
0.3x = 6
x = 20 cm³
Therefore 20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.
Find out more on equation at: https://brainly.com/question/13763238
Answer:
20 cm³
Step-by-step explanation:
A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L)
Answer:
Step-by-step explanation:
I need help with pre calculus.
Question 1
Answer: Choice A) -7-----------------
Explanation:
To compute f(g(2)), we'll first need to find g(2).
Locate 2 in the x row. Then read straight down until you get to the g(x) row. You should find that g(2) = 4
This means f(g(2)) becomes f(4). We then repeat the same process as before. Locate 4 in the x row, read straight down til you get to the f(x) row to find that f(4) = -9
Overall, we can say f(g(2)) = -9
We do the same set of steps to compute g(f(-1)). You should find that f(-1) = -1 and g(f(-1)) = g(-1) = -2
Lastly, we subtract the results we got:
f(g(2)) - g(f(-1)) = -9 - (-2) = -9+2 = -7
==============================================
Question 2
Answer: Choice B) 0-----------------
Explanation:
If you were to graph each equation, you should get what you see below.
The red and blue curves do not intersect in any way. We need an intersection point to have a solution. Because there are no intersections, we don't have any solutions. The system is considered inconsistent.
==============================================
Question 3
Answer: Choice B[tex]-2x^2+250x-2000[/tex]-----------------
Explanation:
x = number of scooters made and sold
Each scooter costs $150 to make. If you made x of them, then it costs 150x dollars. Then tack on the fixed cost of $2000 to get the expression [tex]150x+2000[/tex]
The cost function is [tex]C(x) = 150x+2000[/tex]. We'll subtract this from the revenue function R(x) to get the profit P(x)
[tex]\text{Profit} = \text{Revenue} - \text{Cost}\\\\P(x) = R(x) - C(x)\\\\P(x) = (400x-2x^2) - (150x+2000)\\\\P(x) = 400x-2x^2-150x-2000\\\\P(x) = -2x^2+250x-2000\\\\[/tex]
==============================================
Question 4
Answer: Choice B[tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]
-----------------
Explanation:
[tex]g(x) = \frac{1}{x+1}\\\\g(f(x)) = \frac{1}{f(x)+1}\\\\g(f(x)) = \frac{1}{x^2+x-3+1}\\\\g(f(x)) = \frac{1}{x^2+x-2}\\\\g(f(x)) = \frac{1}{(x+2)(x-1)}\\\\(g\circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\[/tex]
I started with the outer function g(x) and replaced each x with f(x) in the second step. Then I plugged in f(x) = x^2+x-3 and simplified. Factoring the denominator is helpful to determine where the denominator becomes zero. Specifically, it happens when x = -2 and x = 1. These x values must be kicked out of the domain to avoid a division by zero error.
So we start off with the real number line, and poke holes at x = -2 and x = 1.
The notation [tex]x \in \mathbb{R}[/tex] means x is a real number. Then we tack on [tex]x \ne -2, x \ne 1[/tex]
Overall, the domain is [tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]
Let's see what happens if we tried plugging x = -1 into this composite function:
[tex](g \circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\(g \circ f)(-1) = \frac{1}{(-1+2)(-1-1)}\\\\(g \circ f)(-1) = \frac{1}{(1)(-2)}\\\\(g \circ f)(-1) = \frac{1}{-2}\\\\(g \circ f)(-1) = -0.5\\\\[/tex]
We don't get a division by zero error, so x = -1 is allowed. The same can be said about any other x value as long as it's not -2 and not 1 either.
HELPPPPP PLSSSSSSSSSSSSSSS
Answer: $54.66
Step-by-step explanation:
The 18% turns into 0.18, they mean the same thing.
46.32 * 0.18 = 8.34 (Unsimplified answer: 8.3376)
Add tip to the cost.
46.32 + 8.34 = 54.66
Correct me if it is incorrect.
At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after
w
w weeks
Answer:
A=15 inches. B=h=5+2.5w inches
Step-by-step explanation:
Our starting height is 5 inches.
It grew at a constant rate of 2.5 inches per week.
A. How tall after 4 weeks?
Well, we can solve by making an equation.
height=5inches+2.5(x)
In this situation, x is 4.
Height will be 15 inches.
B. This is just asking for the equation.
We already did that in part a!
We just need to switch x out with w.
h=5+2.5w
Find the unit rate if you got paid $104 for 8 hours of work
and said the answer is 52/4. Is he right or wrong?
what did he do wrong and what is the correct answer?
Guys please i need help on this, i will give brainliest to the right answers
i think the answer is 4 hope it helps
How much power does it take to lift a 40N object. 8 meters high in 3 seconds. Show work 8)
Answer:
Step-by-step explanation:
power = work / time
work = force x distance
force = newtons
w = fd
w = 40N(8m)
w = 320J
p = w/t
p = 320J/3s
__
p = 106.66
(sixes repeat)
help please thank you
Answer:
150*2/3=100
take school size then multiply it by the ratio to get the amount of student who prefer such toothpaste.
Step-by-step explanation:
Jasmine spends $1,089.72 each month for rent and supplies to run her hair salon. If she charges $18 for a haircut, how many haircuts must Jasmine do to cover her monthly expenses? Round to the nearest whole number.
Answer: 61 haircuts
Step-by-step explanation:
What is the measure of
Answer:
Step-by-step explanation:
As BA = BC, this is an isosceles triangle and the angles adjacent the equal length legs are also identical.
∠C = ∠A = 56°
B = 180 - 2(56) = 68°
Answer:
56°
Step-by-step explanation:
It is because Angle A = Angle C,since triangle ABC is isosceles triangle are equal
If f(x)= 5x, what is f^-1(x)?
Step-by-step explanation:
[tex]f( x) {}^{ - 1} \\ f(x) = 5x \\ y = 5x \\ x = 5y \\ y = \frac{x}{5} \\ f(x) {}^{ - 1} = \frac{x}{5} [/tex]
Line f has a slope of -9/7. Line g is perpemdicular to f. What is thr slope of line g
Pardon me I don't mean to pry I saw the tears falling from your eyes and I thought you're too pretty to not wear a smile hope you don't mind if I sit down for while
NAME THE SONG AND THE SINGER 50 POINTS!!!!!!!!!!
Answer: Jon Pardi - Tequila Little Time
Step-by-step explanation:
I don't even know what this song is, but I searched it up.
-1⅓ + 2⅓ what is answer
SOMEONE HELP ME PLEASEEE
Answer:
A) X≥4
B) Can't see question
C)x<8
D) x>40
E)x≥5
F) Can't see question
G)x ≥43
H) x ≤75
Step-by-step explanation:
in an exam,Kianna scored 80% out of a total of 520 how may marks did she score?
Answer:
416
Step-by-step explanation:
you take 520 times .80
A restaurant bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.
Bill was for $28.35. A 20% tip would come to $5.67. If we add this tip to the $28.35 bill, we get a total of $28.35 + $5.67 + 0.0625($28.35)
= $35.79 (total)
please give brainlist
22
23
The Krishna family of 5 spent $12 per person at the golf
range plus an additional $40 for equipment. How much
did they spend?
24
i
Answer:
$100
Step-by-step explanation:
12x5=60
+40= $100
Answer:
$100
Step-by-step explanation:
This is easy
12x5=60
+40=$100
The Greens are moving. Their real estate agent located 79 houses listed for sale in their price range. Of those bouses listed for sale: 49 had a finished basement. 56 had a three car garage. 37 had a finished basement. How many had a finished bsement but not a three car garage?
what is the sum of 2/3,1/2and1/4=
Answer:
17/12
Step-by-step explanation:
In order to add fractions, you have to have a common denominator. The denominators in these fractions are 3, 2, and 4 (the bottom numbers). To get a common denominator, figure out what number all three of them can go into. Their common factor would be 12 because all three numbers go into 12.
Multiply each numerator in the fraction (the top number) by how much it takes to get from our current denominators (3,2,4) to our final denominator (12).
For example, in 2/3 we know that 3 times 4 equals 12. Multiply the top number by 4 to get 8/12.
In 1/2 we know that 2 times 6 equals 12. Multiply by 6 to get 6/12.
In 1/4 we know that 4 times 3 equals 12. Multiply by 3 to get 3/12.
Add the fractions to get 17/12.
Help help math math help help
Answer:
102 degrees below horizontal
Step-by-step explanation:
if the first angle is 78 degrees, the angle on the other side of the line is 102 degrees because a straight line is 180 degrees, and a box would have a total of 360 degrees in it
because the same line passes through both horizontal lines, the angle 3 is equal to the opposite angle to the 78
180-78 = 102
another way to look at it is that the 78 degrees is the same angle directly above angle 3 because the horizontal lines are parallel, and if it is 78 degrees, that makes the angle below it (angle 3) 102 degrees since a straight line must add to 180 degrees
Answer:
102
Step-by-step explanation:
Lim ( 3x + 4tan2x)/x
X--》0
Answer:
where are you from me
Step-by-step explanation:
:philipines
btw ty sayo
How to solve 12 2/3 23
Answer: I dont understand the question
Step-by-step explanation:
The mother is really tall (T) and the allele for this particular trait is dominant to the short (t) gene. The fathers phenotype is short (t). What will the genotype and phenotype percentages be for the the F1 generation? (hint: there may be more than one possible answer).
If tall is completely dominant over short, then the mother's genotype is either TT or Tt. The father is short so his genotype is tt.
Crossing TT with tt produces only heterzygous offspring with genotype Tt. Then the genotypic and phenotypic ratios are 0 TT : 1 Tt : 0 tt and 1 tall : 0 short, respectively. As percentages, these would
• geno: 0% TT : 100% Tt : 0% tt
• pheno: 100% tall : 0% short
Crossing Tt with tt on the other hand produces offspring with genotype either Tt or tt with equal probability, so that the geno and pheno ratios are 0 TT : 1 Tt : 1 tt and 1 tall : 1 short. As percentages,
• geno: 0% TT : 50% Tt : 50% tt
• pheno: 50% tall : 50% short
I’m begging you please please answer my question please please answer me please please
Both factors of 20 and 10
Factors of 20 but not 10
Neither factors of 20 and 10
Answer:
Factors of 20 and 10: P ∪ Q
Factors of 20 but not 10: U ∩ (P ∪ Q)c
Neither factors of 20 or 10: (P ∪ Q)c
what is the value of x (100 points)
The value of x in the given triangle is 25
Missing sides of right triangle
The triangle shown is a right triangle.
Each side of the triangle can be found by using the Pythagora's theorem
The Pythagora's theorem states that the "square of the hypotenuse equals the sum of the squares of the other two sides"
Applying the Pythagora's theorem:
[tex]x^2=24^2+7^2\\\\x^2=576+49\\\\x^2=625\\\\x=\sqrt{625}\\\\ x=25[/tex]
Learn more on missing sides of right triangle here: https://brainly.com/question/23987176
solve the graph fjsdjshfdkjfd
Answer:
y=-2x+3
Step-by-step explanation:
Comment if you need steps.
1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain)
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
your paper airplane is launched from 25ft. it descends at a rate of 5ft per second. write an equation that represents the height y of your airplane after x seconds
Answer:
y= -5x + 25
Step-by-step explanation:
y = mx + b
m(slope) = descending 5ft/sec means the height will decrease so the slope must be negative
b(y-int) = starting height of 25 ft added