Answers
Answer:
9x³ + 27x²
Step-by-step explanation:
What the question is asking is to multiply f(x) and g(x) together:
Step 1: Write out expression
(fg)(x) = 3x²(3x + 9)
Step 2: Distribute
(fg)(x) = 9x³ + 27x²
Answer:
[tex]\huge\boxed{Option \ 3 : (fg)(x) = 9x^3+27x^2}[/tex]
Step-by-step explanation:
[tex]f(x) = 3x+9\\g(x) = 3x^2[/tex]
Multiplying both
[tex](fg)(x) = (3x+9)(3x^2)\\(fg)(x) = 9x^3+27x^2[/tex]
Related Questions
What is the value of this expression when g = -3.5?
8 − |2g − 5|
Answers
Answer:
-4
Step-by-step explanation:
Replace g by -3.5
● 8- | 2g - 5 |
● 8 - | 2*(-3.5)-5 |
● 8 - |-7-5|
● 8 - | -12|
The absolute value turns the number inside the | | into a positive value
-12 is negative so |-12| = 12
●8 -12
● -4
On a map, two locations are 0.75 centimeter apart. Their actual distance is 15 kilometers apart. What scale could be
shown on the map? Select three options.
Answers
Answer:
20
Step-by-step explanation:
It is 20 because 0.75 is on the map and its actualy distance is 15 so 15/0.75 is 20
The distance a bike travels varies directly as the amount of time the bike has been ridden. Angela is riding her bike. If she travels a distance of 60 miles in 2 hours, how far has Angela traveled in 7 hours?
Answers
Answer:
420 miles
Step-by-step explanation:
60 ×7=420
thank
Answer:210 miles
Step-by-step explanation:because there is 7 hours so you need to multiply up to six hours so 60 x 3 = 180 or 6 hours + 1 hour = 30 miles so 180+30= 210
will rate you brainliest need help
Answers
Answer:
x = 0.09
Step-by-step explanation:
[tex] {3}^{x + 2} = {2}^{3} [/tex]
Taking Logarith both sides, we get :
Using the properties of Logarithms:
[tex](x + 2) log(3) = 3 log(2) [/tex]
[tex](x + 2) = 1.91[/tex]
(taking log2= 0.3 and log3= 0.47)
x = 0.09
In the nation of Gondor, the EPA requires that half the new cars sold will meet a certain particulate emission standard a year later. A sample of 64 one-year-old cars revealed that only 24 met the particulate emission standard. The test statistic to see whether the proportion is below the requirement is
Answers
Complete Question
In the nation of Gondor, the EPA requires that half the new cars sold will meet a certain particulate emission standard a year later. A sample of 64 one-year-old cars revealed that only 24 met the particulate emission standard. The test statistic to see whether the proportion is below the requirement is:
A -1.645
B -2.066
C -2.000
D-1.960
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The population mean is [tex]p = 0.50[/tex]
The sample size is [tex]n = 64[/tex]
The number that met the standard is [tex]k = 24[/tex]
Generally the sample proportion is mathematically evaluated as
[tex]\r p = \frac{24}{64}[/tex]
[tex]\r p =0.375[/tex]
Generally the standard error is mathematically evaluated as
[tex]SE = \sqrt{ \frac{p(1- p )}{n} }[/tex]
=> [tex]SE = \sqrt{ \frac{0.5 (1- 0.5 )}{64} }[/tex]
=> [tex]SE = 0.06525[/tex]
The test statistics is evaluated as
[tex]t = \frac{ \r p - p }{SE}[/tex]
[tex]t = \frac{ 0.375 - 0.5 }{0.0625}[/tex]
[tex]t = -2[/tex]
Find the length of FV¯¯¯¯¯¯¯¯ A. 72.47 B. 77.71 C. 49.42 D. 56.84
Answers
Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios here.
To find FV we use cosine
cos∅ = adjacent / hypotenuse
From the question
FV is the hypotenuse
TV is the adjacent
So we have
cos 43 = TV/FV
FV = TV/ cos 43
TV =53
FV = 53/ cos 43
FV = 72.4683
We have the final answer as
FV = 72.47Hope this helps you
Answer:
FV=72.47
Step-by-step explanation:
cos43=adj/hyp.=VT/FV
cos43=53/FV
FV=53/cos43
FV=72.46835= 72.47 rounded to the nearest hundredth
Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 2, −5 is the only other zero, leading coefficient is 3.
Answers
Answer:
Step-by-step explanation:
Hello, just apply the instructions as below.
[tex]3(x-2)^2(x+5)^3[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
. A population is currently 6,000 and has been increasing by 1.2% each day. Write an exponential model for the population.
Answers
Answer: [tex]A=6000(1.012)^t[/tex]
Step-by-step explanation:
General exponential function:
[tex]A=P(1+r)^t[/tex]
, where P= current population
r= rate of growth
t= time period
A= population after t years
As per given , we have P=6,000
r= 1.2% = 0.012
Then, the required exponential function: [tex]A=6000(1+0.012)^t[/tex]
or [tex]A=6000(1.012)^t[/tex]
The volume of a cone varies jointly with the base (area) and the height. The volume is 12.5 ft3 when the base (area) is 15 ft2 and the height is 212 ft. Find the volume of the cone (after finding the variation constant) when the base (area) is 12 ft2 and the height is 6 ft
Answers
The volume of the cone, when the base area is 12 ft² and the height is 6 ft, is approximately 24 ft³.
To find the volume of the cone when the base area is 12 ft² and the height is 6 ft, we need to first determine the variation constant relating the volume, base area, and height.
Let's denote the volume of the cone as V, the base area as A, and the height as h. According to the problem, the volume varies jointly with the base area and the height.
Therefore, we can write the following equation:
V = k * A * h
Here k is the variation constant we want to find.
Given one set of values: when A = 15 ft² and h = 2 1/2 ft, V = 12.5 ft³.
Substitute these values into the equation and solve for k:
12.5 ft³ = k * 15 ft² * (2.5 ft)
Now, we can solve for k:
k = 12.5 ft³ / (15 ft² * 2.5 ft)
k = 0.3333 ft
Now that we have the value of the variation constant (k), we can find the volume when A = 12 ft² and h = 6 ft:
V = k * A * h
V = 0.3333 ft * 12 ft² * 6 ft
V = 23.9996 ft³
Therefore, the volume of the cone is 24 ft³.
Learn more about the volume of the cone here:
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The correct question is as follows:
The volume of a cone varies jointly with the base (area) and the height. The volume is 12.5 ft³ when the base (area) is 15 ft² and the height is 2 1/2 ft. Find the volume of the cone (after finding the variation constant) when the base (area) is 12 ft² and the height is 6 ft.
Which equation will solve the following word problem? In a given amount of time, Jamie drove four times as far as Rhonda. Altogether they drove 125 miles. Find the number of miles driven by each. 4T + T = 125 4T = 125/T T = 125/4T 4T - T = 12
Answers
Answer:
1) 4T+T=125
2) Rhonda drove 25 miles
and Jamie drove 100 miles
Step-by-step explanation:
1) Rhonda drove = T
Jamie drove = 4T
4T+T=125
2) 5T=125
T=125/5
T=25
So Rhonda drove T = 25
And Jamie drove 4T = 100
What is the probability of the spinner landing on an odd number? A spinner is split into 4 equal parts labeled 1, 2, 3, and 4. One-fourth One-third One-half Three-fourths
Answers
Answer:
One half, or 1/2.
There are an equal amount of odd numbers as there are even numbers on the spinner.
Answer:
C. 1/2
One-half
Many drugs used in treating schizophrenia block the reception of dopamine by neurons. (Dopamine is a neurotransmitter, which, when released by the axons of one nerve, inhibits the firing of the next nerve.) This fact led to the idea that schizophrenia occurs when too much dopamine is produced. Suppose the following data on dopamine production were obtained.
Schizophrenics Control Group
42 33
31 27
29 18
The study described above is an example of:_______
a. an independent-samples design;
b. a paired-samples design;
c. comparing a sample mean to a known population mean;
d. unknown; more information is required in order to decide.
Answers
Answer:
a. an independent-samples design.
Step-by-step explanation:
Independent sample design is the one in which samples are selected randomly. It is the observation which is not dependent on any other value. The statistical analysis is based on the assumption that the samples are independent. The study in this scenario is not dependent on any other variable and is based on independent sample design.
About how many feet are in 3.6 kilometers? 1 m = 39.37 in
Answers
Answer:
11811 feet
Step-by-step explanation:
Hope it helps!
There are about 11,812 feet in 3.6 kilometers.
To convert kilometers to feet, we need to use the conversion factor:
1 kilometer = 3,280.84 feet.
Now, to find how many feet are in 3.6 kilometers,
we can multiply 3.6 by the conversion factor:
So, 3.6 kilometers x 3,280.84 feet/kilometer
= 11,811.504 feet.
Thus, Rounded to a whole number, there are about 11,812 feet in 3.6 kilometers.
Learn more about Unit Conversion here:
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You really want to buy a used car for $11,000, but can only afford $200 a month. What interest rate would you need to find to be able to afford the car, assuming the loan is for 60 months? is the answer 0.03% which formula would you use? I am doing too many to get the correct answer.
Answers
Answer:
3.48%
Step-by-step explanation:
Interest rate is the one variable in the amortization formula that cannot be solved for directly. An iterative or graphical approach is needed. There is no formula. Financial calculators, financial apps, and spreadsheets are all able to do this calculation.
__
In the attached, we have used a graphing calculator to find the value of interest rate (in %) that makes the loan payment be $200 for a loan of $11,000. It shows us the rate is 3.48%. (A financial calculator confirms this value.) The x-intercept in the graph is the interest rate that makes the difference between the payment and $200 be zero. In our formula for the payment, we have used t for years. 60 monthly payments is 5 years.
In a factory there are 100 units of a certain product, 5 of which are defective. We pick three units from the 100 units at random. What is the probability that none of them are defective
Answers
Answer:
Probability of picking all three non-defective units
= 7372/8085 (or 0.911812 to six decimals)
Step-by-step explanation:
Let
D = event that the picked unit is defective
N = event that the picked unit is not defective
Pick are without replacement.
We need to calculate P(NNN) using the multiplication rule,
P(NNN)
= 97/100 * 96/99 * 95/98
=7372/8085
= 0.97*0.969697*0.9693878
= 0.911812
The probability that none of the picked products are defective is;
P(None picked is defective) = 0.856
We are told that 5 are defective out of 100.This means the number of good products that are not defective are 95.
Probability of the first picked product not being defective is written as; P(First picked not defective) = 95/100Since the good ones have been picked, there will be 99 left of which the good ones are now 94. Thus, probability of second one not being defective = 94/99Since two good ones have been picked, there will be 98 left and 93 good ones left. Thus, probability of third one not being defective = 93/98Finally, Probability of none of the three being defective is;95/100 × 94/99 × 93/98 = 0.856
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* 2. Use digits and other symbols to write "One hundred one thousand is
greater than one thousand, one hundred."
Answers
Answer:
101,000>1,100
Step-by-step explanation:
101,000>1,100
Answer:
101,000>1,100
Step-by-step explanation:
Need help with this as soon as possible.
Answers
-4x^2-28x-68
hope this helped!
Step-by-step explanation:
Hello, there!!!
The answer is: -4x^2-28x-68.
See explanation in picture.
Hope it helps...
Candice spent 5 1/4 hours doing her homework. Her brother, Ronald, spent 1/2 that number of hours doing his homework. How many hours did Ronald spend on his homework?
Answers
Answer:
Step-by-step explanation:
½ of 5¼
½×(21/4)
=21/8
=2⅝ hours
Answer:
2 5/8
Step-by-step explanation:
you would divide 5 1/4 by 2 :
5 divided by 2 =2 1/2
1/4 divided by 2=1/8
then make the numbers have the same denomanator
1/2, 2/4, 4/8
1/8,
then you add
2 4/8+1/8=2 5/8
A segment with endpoints at $A(2, -2)$ and $B(14, 4)$ is extended through $B$ to point $C$. If $BC = \frac{1}{3} \cdot AB$, what are the coordinates for point $C$? Express your answer as an ordered pair.
Answers
Answer:
C = (18, 6)
Step-by-step explanation:
You have ...
AB : BC = 1 : 1/3 = 3 : 1
(B -A) / (C -B) = 3/1 . . . . . another way to write the distance relation
B -A = 3(C -B) . . . . . . . . . multiply by (C-B)
4B -A = 3C . . . . . . . . . . . add 3B
C = (4B -A)/3 . . . . . . . . . divide by 3 to get an expression for C
C = (4(14, 4) -(2, -2))/3 = (54, 18)/3
C = (18, 6)
5.39 jings =15.4 hings
4.9 hings = 2.8 gings
According to the conversion rates above, how
many jings equal 1 ging?
E. 7/40
F. 5/8
G. 49/80
H. 20/7
Answers
Step-by-step explanation:
It is given that,
5.39 jings =15.4 hings ....(1)
4.9 hings = 2.8 gings ...(2)
From equation (2), the value of 1 ging is :
[tex]1\ \text{ging} = \dfrac{4.9}{2.8}\ \text{hing}\ .....(3)[/tex]
From equation (1), the value of 1 jing is :
[tex]1\ \text{jing} = \dfrac{15.4}{5.39}\ \text{hing}\ .....(4)[/tex]
From equation (3) and (4), we get :
[tex]\dfrac{\text{1 ging}}{\text{1 jing}}=\dfrac{4.9}{2.8}\times \dfrac{5.39}{15.4}\\\\\dfrac{\text{1 ging}}{\text{1 jing}}=\dfrac{49}{80} \\\\1\ \text{ging}=\dfrac{49}{80}\ \text{ jings}[/tex]
Hence, the correct option is (g) "49/80"
A certain animal's body temperature has a mean of F and a standard deviation of F. Convert the given temperatures to z scores.
Answers
A certain animal's body temperature has a mean of 94.72° F and a standard deviation of 0.57°F. Convert the given temperatures to z scores.
a. 93.52 °F b. 95.22 °F c. 94.72 °F
Answer:
a. z = - 2.1053
b. z = 0.87719
c. z = 0
Step-by-step explanation:
Given that :
The population mean μ = 94.72
The standard deviation σ = 0.57
the formula for calculating the standard normal z score, which can be represented as:
[tex]z= \dfrac{\overline x - \mu}{\sigma}[/tex]
For a.
The sample mean [tex]\bar x[/tex] = 93.52
The z score can be computed as follows:
[tex]z= \dfrac{\overline x - \mu}{\sigma}[/tex]
[tex]z= \dfrac{93.52 - 94.72}{0.57}[/tex]
[tex]z= \dfrac{-1.2}{0.57}[/tex]
z = - 2.1053
For b.
The sample mean [tex]\bar x[/tex] = 95.22
[tex]z= \dfrac{\overline x - \mu}{\sigma}[/tex]
[tex]z= \dfrac{95.22 - 94.72}{0.57}[/tex]
[tex]z= \dfrac{0.5}{0.57}[/tex]
z = 0.87719
For c.
The sample mean [tex]\bar x[/tex] = 94.72
[tex]z= \dfrac{\overline x - \mu}{\sigma}[/tex]
[tex]z= \dfrac{94.72 - 94.72}{0.57}[/tex]
[tex]z= \dfrac{0}{0.57}[/tex]
z = 0
A piece of buttered toast falls to the floor 17 times. The toast landed buttered side up 6 times. What is the probability that the toast lands buttered side down?
Answers
Step-by-step explanation:
Given that,
A piece of buttered toast falls to the floor 17 times. The toast landed buttered side up 6 times.
It means that the total number of outcomes are 17
We need to find the probability that the toast lands buttered side down. Favourable oucome is 17-6 = 11
So, probability is given by :
[tex]P(E)=\dfrac{\text{favourable outcomes}}{\text{total no of outcomes}}[/tex]
[tex]P(E)=\dfrac{11}{17}[/tex]
So, the probability that the toast lands buttered side down is 11/17.
Algebraic Expressions
Evaluate
The weight of a bag of oranges is 1.3 pounds. There are 9 bags of oranges. What is the total weight?
Help please :)
Answers
Answer:
11.7 pounds
Step-by-step explanation:
Multiply the weight of one bag of oranges by 9 bags.
Someone PLEASE help!
Answers
Step-by-step explanation:
[tex]f(f(x)) = f( {x}^{2} + 4)[/tex]
[tex] = {( {x}^{2} + 4) }^{2} + 4[/tex]
[tex] = {x}^{4} + 4 {x}^{2} + 16 + 4[/tex]
[tex] = {x}^{4} + 8 {x}^{2} + 20[/tex]
Help ASAP Marly has to get some cavities filled at the dentist. The dentist charges a fee of $35 plus $43 per cavity. If Marly ends up having a bill of $164 and c represents the number of cavities, which of the following equations could be used to find how many cavities Marly had filled?
35 = 164 + 43c
164 = 35 - 43c
164 = 35c + 43
35 + 43c = 164
Answers
Answer:
the answer is d i believe.
Answer:
The answer is D I took the test the other person is right!
Step-by-step explanation:
#2. Given the following conditional statement; which answer is
represents the biconditional statement: "If Mr. Anderson is a ninja, then
he can run like Naruto."
Mr. Anderson is a ninja iff he can run like Naruto.
Mr. Anderson can run like Naruto iff he is a ninja.
Mr. Anderson is Naruto iff he can run like a ninja.
Answers
Answer:
Mr. Anderson can run like Naruto iff he is a ninja.
Step-by-step explanation:
This is because, in the statement "If Mr. Anderson is a ninja, then he can run like Naruto.", the sub-statement, "he can run like Naruto.", depends on the sub-statement 'If Mr Anderson is a Ninja'. This means that although Mr. Anderson is a Ninja, he can only run like Naruto if and only if he is a Ninja implying that if Mr Anderson is not a Ninja, he cannot run like Naruto.
So, Mr Anderson can run like Naruto iff he is a Ninja is the correct answer
Answer:
1
Step-by-step explanation:
Find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024 and select the correct answer below.
Answers
Answer:
2,044
Step-by-step explanation:
S9=G1 (1r^n)/1-r
G9=G1r^8, r=2
S9=(4)(-511)/-1=2,044
Answer: 2,044
Step-by-step explanation:
I just took the quiz!
32 x 42 is equal to how much
Answers
Answer:
1,344
Step-by-step explanation:
Hope i am marked as brainliest answer
I
Ifm DGF = 72, what equation can you use to find mZEGF?
Answers
Answer:
see explanation
Step-by-step explanation:
∠ DGE + ∠ EGF = ∠ DGF , that is
∠ EGF = ∠ DGF - ∠ DGE
∠ EGF = 72° - ∠ DGE
A positive correlation between two variables X and Y means: If the value of X is above the mean, the
value of Y will be above the mean as well.
A. This is always true.
B. This is sometimes true.
C. This is never true.
Answers
Answer: B. This is sometimes true.
Step-by-step explanation:
A positive correlation between 2 variables means that they generally move in the same direction meaning that as one variable rises, the other rises as well and as the other falls, the other falls as well.
However, the correlation can be strong, weak or anything in-between. This means that just because one variable increases by 12 does not mean the other would as well. It could increase by 1 alone and still have a positive correlation albeit a small one.
Therefore, if the value of one variable is above the mean, it doesn't always follow that the other with a positive correlation will as well as they just might not have that strong a correlation.
