Answer:
B. -9/11
Step-by-step explanation:
(f/g)(-4) = f(-4) / g(-4)
To find f(-4), we plug in -4 everywhere there is an x
f(-4) = 2(-4) - 1 = -8 - 1 = -9
Same idea for g(-4):
4(-4)^2 + 14(-4) + 3
4*16 - 56 + 3 = 11
So (f/g)(-4) = f(-4) / g(-4) =
-9/11
REPOST QUESTION. what am i doing wrong? it says to find the surface area. The answer is 69.3cm^2. please help me
Answer:
find its height and curved surface area
Step-by-step explanation:
8+(-3) + (-8) =
What does this equal?
Answer:
-3
Step-by-step explanation:
8+-3+-8 = 8-3-8=5-8=-3
Answer:
\(-3\)
Step-by-step explanation:
We´ll Follow the PEMDAS order of operations:
ParenthesesExponentsMultiplicationDivisionAdditionSubtraction_____________________________
\(8+\left(-3\right)+\left(-8\right)\)
\(\longmapsto\) \(+\left(-3\right)=-3\)
\(\longmapsto\) \(8-3+\left(-8\right)\)
\(\longmapsto\) \(8-3=5\)
\(\longmapsto\) \(+\left(-8\right)=-8\)
\(\longmapsto\) \(5-8\)
\(\longmapsto\) \(5-8=-3\)
__________________________
which expression is equivalent to (3x-6)(4x+1)
Answer:
12x^2 -21x -6
Step-by-step explanation:
(3x-6)(4x+1)
FOIL
first 3x*4x= 12x^2
outer 3x*1 = 3x
inner -6*4x = -24x
last -6*1 = -6
Add them together
12x^2 +3x -24x -6
Combine like terms
12x^2 -21x -6
What would be the new coordinates of a point that starts at (5,9) and is dilated by a scale factor of 2 and then translated 3 up and 2 right?
Answer:
(12. 21)
Step-by-step explanation:
Given the coordinate (5, 9), if it is dilated by a factor of 2, the resulting coordinate will be expressed as;
P = 2(5, 9)
P = (2(5), 2(9))
P = (10, 18)
If it is now translated 3 up and 2 right, then the final coordinate will be at;
P' = (10+2, 18+3)
P' = (12, 21)
Hence the final image will be at (12. 21)
Solve the following pair of equation graphically and verify them
3x+y=7&x=2y
Answer:
y=1
Step-by-step explanation:
3x+y=7
x=2y
3(2y) + y=7
6y+y=7
7y=7
÷ 7
y=1
Answer:
3x+y=7
X=2y
collecting like terms:
3x+y=7
x-2y=0
eliminate like terms:
(first multiple both equations with 0 and 3)
(3x+y=7)0
(x-2y=0)3
The result is as follows:
3x+y=7
3x-6y=0
5y=7
devide by 5
y=1.4
then we solve for X now cause we know the value of y
3x+1.4=7
let's collect like term
3x=7-1.4
3x=5.6
devide by 3 both sides
X= 1.87
3(1.87)+1.4=7
7(2a-1)-3=10a-10-4a
PLS HELP
Answer:
3) a=0
Step-by-step explanation:
Distribute 7 through the parenthesis (2a-1) -> 14a-7-3= 10a-10-4a
Combine like terms -> 14a-7-3= 6a-10
Calculate the difference -> 14a-10=6a-10
Cancel out equal terms on both sides -> 14a=6a
Move 6a to the left -> 14a-6a=0
Combine like terms -> 8a=0
Divide both sides -> a=0
If you need help on the other ones lmk
Please answer this will give 10 points
Answer:
Step-by-step explanation:
In the given large pizza
diameter (d) = 24 in
Now
Circumference
= π* d
= 3.14 * 24
= 75.36 in
Hope it helps :)
Do this thing please I will be very thankful
Which angles are complementary to each other?
Answer:
3 and 2
Step-by-step explanation:
complementary means they add up to 90 degrees. Angle 3 and 2 equal 90 degrees,
Eighteen people are in a room. What is the minimum number of handshakes to occur to
guarantee that everyone has shaken everyone else's hand?
Answer:
153
Step-by-step explanation:
if im correct plz mark me brainliest!
Samuel is arranging books in shelves at their library. He has 80 books to arrange he needs to put the same number of books on each shelf, and he needs to use all of the books. Between 9, 10 and 11 shelves, which is his best choice for the number of shelves that he can use?
(Show the solution and do not use Division (optional) and use the Divisibility rules of numbers)
Answer:
10 shelves
Step-by-step explanation:
out of the other choices, 10 is most suitable to divide with 80
Prove that the function f:R→R where f(x)=x is continuous. Prove that the function f:Rk→R where f(x1,…,xk)=∑ki=1 xi is continuous.
To prove the continuity of a function, we need to show that it satisfies the definition of continuity.
1. Proving the continuity of the function f(x) = x:
Let's consider a point a in the domain of f, which is R (the set of all real numbers). We want to show that f(x) = x is continuous at the point a. According to the definition of continuity, for every ε > 0, there exists a δ > 0 such that if |x - a| < δ, then |f(x) - f(a)| < ε.
Now, consider |x - a| < δ. We can rewrite this as |x - a| < ε since ε > 0 implies δ > 0.
Using the function f(x) = x, we have |f(x) - f(a)| = |x - a|.
Since |x - a| < ε, it follows that |f(x) - f(a)| < ε.
Therefore, the function f(x) = x is continuous for all x in R.
2. Proving the continuity of the function f(x1, x2, ..., xk) = ∑(ki=1) xi:
Let's consider a point (a1, a2, ..., ak) in the domain of f, which is Rk (the k-dimensional Euclidean space). We want to show that f(x1, x2, ..., xk) = ∑(ki=1) xi is continuous at the point (a1, a2, ..., ak).
According to the definition of continuity, for every ε > 0, there exists a δ > 0 such that if |x1 - a1| < δ, |x2 - a2| < δ, ..., and |xk - ak| < δ, then |f(x1, x2, ..., xk) - f(a1, a2, ..., ak)| < ε.
Now, consider |xi - ai| < δ for i = 1, 2, ..., k. We can rewrite this as |xi - ai| < ε/k since ε > 0 implies δ > 0.
Using the function f(x1, x2, ..., xk) = ∑(ki=1) xi, we have |f(x1, x2, ..., xk) - f(a1, a2, ..., ak)| = |∑(ki=1) (xi - ai)|.
By the triangle inequality, we have |∑(ki=1) (xi - ai)| ≤ ∑(ki=1) |xi - ai|.
Since |xi - ai| < ε/k for all i = 1, 2, ..., k, it follows that ∑(ki=1) |xi - ai| < k * (ε/k) = ε.
Therefore, |f(x1, x2, ..., xk) - f(a1, a2, ..., ak)| < ε.
Hence, the function f(x1, x2, ..., xk) = ∑(ki=1) xi is continuous for all (x1, x2, ..., xk) in Rk.
Therefore, both functions f(x) = x and f(x1, x2, ..., xk) = ∑(ki=1) xi are continuous.
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the average number of acres burned by forest and range fires in a large new mexico county is 4,300 acres per year, with a standard deviation of 750 acres. the distribution of the number of acres burned is normal. what number of burnt acres corresponds to the 38th percentile?
The number of burnt acres that corresponds to the 38th percentile is approximately 3,975 acres.
To find the number of burnt acres that corresponds to the 38th percentile, we need to use the standard normal distribution. We first convert the original distribution to a standard normal distribution by subtracting the mean and dividing by the standard deviation:
z = (x - μ) / σwhere z is the standard score, x is the number of burnt acres, μ is the mean (4,300 acres), and σ is the standard deviation (750 acres).
Next, we find the z-score corresponding to the 38th percentile using a standard normal distribution table or calculator. The z-score corresponding to the 38th percentile is approximately -0.26.
Finally, we solve for x by rearranging the equation for z:
z = (x - μ) / σ-0.26 = (x - 4,300) / 750-0.26 * 750 = x - 4,300-195 = x - 4,300x = 4,300 - 195x = 3,975Therefore, the number of burnt acres that corresponds to the 38th percentile is approximately 3,975 acres.
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On a coordinate plane, a dashed straight line with positive slope goes through (0, 0.75) and (2, 4.75). Everything to the left of the line is shaded.
Which inequality is represented by the graph?
A. y > 2x + (3/4)
B. y < 2x + (3/4)
C. y > (1/2)x + (3/4)
D. y < (1/2)x + (3/4)
Which point is a solution to the inequality?
A. (-2, -4)
B. (-1, -2)
C. (1, 2)
D. (2, 5)
The inequality is represented by the equation
A. y > 2x + (3/4)D. (2, 5) is the solution of the inequality
How t find the inequality representedThe given points are (0, 0.75) and (2, 4.75) these is used to calculated the slope
m = (y - y') / (x - x')
m = (4.75 - 0.75) / (2 - 0)
m = 4 / 2 = 2
using the point slope formula which is
(y - 4.75) = 2 (x - 2)
y - 4.75= 2x - 4
y = 2x + 0.75
y = 2x + 3/4
dashed straight line with positive slope goes and Everything to the left of the line is shaded means greater than >
y < 2x + (3/4)
Watching the graph the solution is D(2, 5) this point is in the shaded area
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10. Pizzas are $7.50 each plus a $2 delivery fee. Is the cost proportional
to the number of pizzas ordered? What will the cost be for 5 pizzas?
Answer:
$39.55
Step-by-step explanation:
$7.50 times 5= $37.55+$2=$39.55
Answer:
$39.55
Step-by-step explanation:
a recent study of minimum wage earners found that 55% of them are 16 to 24 years old. suppose a random sample of 12 minimum wage earners is selected. what is the probability that exactly 7 of them are 16 to 24 years old.
The probability that exactly 7 of them are 16 to 24 years old is 0.222
In this question we have been given a recent study of minimum wage earners found that 55% of them are 16 to 24 years old.
A random sample of 12 minimum wage earners is selected. we need to find the probability that exactly 7 of them are 16 to 24 years old.
Here, n = 12
p = 0.55
1 - p = 0.45
x = 7
Using binomial distrubution the required probability would be,
P = 12C7 * (0.55)^7 * (0.45)^(12 - 7)
P = 792 * 0.01522 * (0.45)^5
P = 792 * 0.01522 * 0.01845
P = 0.2224
Therefore, the required probability is 0.222
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pooled variance =a. SS1 + SS2 / df1 + df2b. SS1 + SS2 / n1 + n2
The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.
The formula for pooled variance is:
pooled variance = (SS₁+ SS₂) / (df₁ + df₂)
where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.
Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in
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a plane has a cruising speed of 200 miles per hour when there is no wind. at this speed, the plane flew 500 miles with the wind in the same amount of time it flew 300 miles against the wind. find the speed of the wind. speedofthewind:miles/hour
The speed of wind is 380 miles per hour.
What is speed?
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path.
Here, we have
The plane has a cruising speed of 200 miles per hour when there is no wind. at this speed, the plane flew 500 miles with the wind in the same amount of time it flew 300 miles against the wind.
We have to find the speed of the wind.
Time = Distance/speed
Time = 500/200 = 2.5hrs
When the plane moves against the wind its effective speed reduces as it has to overcome the opposing force of the wind since it is given that it cover's a distance of 300 miles at the same time we can write
2.5 = 300/ V(plane) - v(wind)
2.5 = 300/500- v(wind)
v(wind) =380mph
Hence, the speed of the wind is 380mph.
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Drag the correct word into the space provided in order to complete the sentence.
If an outlier is included in a data set the....... is least affected
mean , median, range or standard deviation
Answer:
mean for the the second median for the 1st one
Step-by-step explanation:
HELPPPPP Its late already plzzzzzz ill give brainliest 25 poits per each questions its a post test plzzzzz
Which is the simplified form of the expression 3(7/5x + 4) -2(3/2 - 5/4x) a) -39/5x - 11/2 b)67/10x + 9 c) 3/10x + 5/2 d) 15 + 76/10x
Answer:
B is the answer
Step-by-step explanation:
Distribute and Combine Like Terms
Step-by-step explanation:
3(7/5x + 4)-2(3/2-5/4x)
21/5x + 12 - 3 + 5/2*
21/5x + 5/2 + 12 - 3
67/10x + 9
the correct answer is b
for a given arithmetic sequence, the first term a1 is equal to 28 and the 93r term is equal to -432 find the value of the 33rd term a33
The 33rd term of the given Arithmetic progression will be -132.
What is an Arithmetic progression?
A series of numbers is called a "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. Arithmetic Sequence is another name for it.
Given, first term= a1= 28
and, a93 = -432
we know that, a93 = -432
a + 92d = -432 (where d is the common difference)
28 + 92d = -432
92d = -432-28
= -460
d = -460/92 = -5.
Now, we can find the a33,
a33 = a + 32d
= 28 + (32× -5)
= 28-160
= -132.
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Help please!
How does the function f(x)=x^2−4x−21 illustrate the Fundamental Theorem of Algebra?
Fill in the blanks. (Hint: Your answers are numbers.)
The degree of f(x) is _____. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly _____ zeros. Those zeros are 7 and _____.
f(x)=x²−4x−21
The degree is the biggest power of x. That's a polynomial of degree 2, also called a quadratic function. Let's find its zeros.
0 = x²−4x−21 = (x - 7)(x+3)
x=7 or x=-3
The fundamental theorem guarantees every non-constant polynomial with complex coefficients has a complex zero, let's call it r. If we divide the polynomial by x-r there won't be any remainder and we'll get a new polynomial, one degree less. The fundamental theorem again applies and (if it's not a constant polynomial) we are assured of another zero, s. We divide by x-s and get a new polynomial of degree one less. We repeat all this until we get a constant polynomial (degree zero). So we get a zero for every degree. They're not necessarily all different.
Answer:
The degree of f(x) is 2. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly 2 zeros. Those zeros are 7 and -3.
What is the simplest form of the radical expression 72x5y4−−−−−−√?
Assume x and y are positive.
6xy22xy−−−√
6xy22x−−√
6x2y22x−−√
6xyxy−−√
What is the solution of the equation?
2x−3−−−−−√+3=x
Enter your answer in the box.
x =
The simplest form of the radical expression 72x^5y^4 is 6x^2y^2√(2xy).
To simplify the radical expression 72x^5y^4, we can break it down into its prime factors and simplify the square root separately for each factor.
First, let's break down 72, x^5, and y^4 into their prime factors:
72 = 2 * 2 * 2 * 3 * 3
x^5 = x * x * x * x * x
y^4 = y * y * y * y
Now, we can simplify the square root:
√(72x^5y^4) = √(2 * 2 * 2 * 3 * 3 * x * x * x * x * x * y * y * y * y)
Taking out pairs of identical factors from under the square root, we get:
√(2 * 2 * 3 * 3 * x * x * x * x * x * y * y * y * y) = 2 * 3 * x^2 * y^2 * √(2xy)
So, the simplest form of the radical expression 72x^5y^4 is 6x^2y^2√(2xy).
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What would you multiply the dividend and divisor by in the following division problem so that the divisor would become a whole number?
23.4÷ 11.75
Answer:The answer is C.
Step-by-step explanation:
how many solutions are there for 4(x-5)=3+7
Answer:
One solution
Step-by-step explanation:
4(x-5)=3+7
Combine like terms
4(x-5) = 10
Distribute
4x - 20 = 10
Add 20 to each side
4x-20 +20 = 10+20
4x = 30
Divide by 4
4x/ 4= 30/4
x = 40/4
x =15/2
If you deposit $6000 into an account paying 8% annual interest compounded monthly, how much money will be in the account after 7 years?
Answer:
$10278
Step-by-step explanation:
Given data
P= $6000
R= 8%
T= 7 years
The compound interest formula is
A=P(1+r)^t
substitute
A=6000(1+0.08)^7
A=6000(1.08)^7
A=6000*1.713
A=$10278
if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen?
There are 69300 possible ways of selecting six bottles randomly with two bottles of each variety.
Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. In the given question, we have to select 6 bottles randomly with two bottles of each variety,
= ¹⁰C₂× ⁸C₂ × ¹¹C₂
¹⁰C₂= [1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10] / [(1 × 2)(1 × 2 × 3 × 4 × 5 × 6 × 7 × 8)]
= 90/2
= 45
Similarly, ⁸C₂ = 28
In the same way ¹¹C₂= 55
= ¹⁰C₂× ⁸C₂× ¹¹C₂
= 45 × 28 × 55
= 69300
Therefore, there are 69300 possible ways of selecting 6 bottles with two bottles of each variety.
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Find the radius of the circle.
6(x – 3)2 + 6(y + 7)2 = 216
Answer:
radius=6
Step-by-step explanation:
7+2x-7x=-5(x-3)-2(6x-8)
Answer:
x=1
Step-by-step explanation:
8+2x-7x=5(x-3)-2(6x-8)
8+2x+7x=5x-15-12x+16
8+15-16=5x-12x-3x-7x
23-16=-7x-3x-7x
17=-17x
x=1
Answer:
Today: Thursday, 05 November 2020
Hour: 17.33 WIB (Indonesia)
_______________________________
a sample of bacteria is decaying according to a half-life model. if the sample begins with 900 bacteria, and after 10 minutes there are 360 bacteria, after how many minutes will there be 40 bacteria remaining?
After 35 minutes there will be 40 bacteria remaining.
The process of a constant percentage rate decrease in an amount over time is referred to as "exponential decay." The formula to calculate exponential decay is given as, \(N_t=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{1/2}}}\). Here, Nt is the quantity after time t, N0 is the initial quantity, t1/2 is the half-life, and t is time.
For the first situation, Nt=360, N0=900, t=10 minutes. Therefore, substituting the given values get the value of t1/2. So,
\(\begin{aligned}360&=900\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}} \\\frac{360}{900}&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\0.4&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\ \ln(0.4)&=\frac{10}{t_{1/2}}\ln(0.5)\\t_{1/2}&=10\times\frac{\ln(0.5)}{\ln(0.4)}\\&=7.6\end{aligned}\)
Now, for the second situation, Nt=40. We have to find the time at which there will be 40 bacteria remaining. Then,
\(\begin{aligned}40&=900\left(\frac{1}{2}\right)^{t/7.6}\\0.04&=\left(\frac{1}{2}\right)^{t/7.6}\\\ln(0.04)&=\frac{t}{7.6}\ln(0.5)\\t&=7.6\times\frac{\ln(0.04)}{\ln(0.5)}\\&=7.6\times4.64\\&=35.26\\&\approx35\end{aligned}\)
The answer is 35 minutes.
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