___________________________________
[tex]\huge\underline{\tt{\red{Problem:}}}[/tex]
[tex]\quad\quad\quad\quad\tt{f(x) = 4x + 1} \: and \: g(x) = {x}^{2} - 5[/tex]
[tex]\huge\underline{\tt{\red{Fomula:}}}[/tex]
[tex]\quad\quad\quad\quad\huge\tt{( \: f \: • \: g \: )}[/tex]
[tex]\huge\underline{\tt{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\tt{(f \:•\: g)(x) = (4x + 1} \: ) ( {x}^{2} - 5)[/tex]
Step by step first:[tex]\quad\tt{ ⟶ { 4x \times {x}^{2} = \boxed{4 {x}^{3}}} }[/tex]
[tex] \quad\tt{ ⟶ { 1 \times {x}^{2} = \boxed{{x}^{2}}} }[/tex]
[tex] \quad\tt{ ⟶ { 4x \times ( - 5) = \boxed{ - 20x}} }[/tex]
[tex]\quad\tt{ ⟶ { 1 \times ( - 5) = \boxed{ - 5}} }[/tex]
It will look like this:[tex]\quad\quad\quad\quad\tt{(f \:•\: g)(x) = (4 {x}^{3} + {x}^{2} - 20x - 5 )}[/tex]
[tex]\huge\underline{\tt{\red{Answer:}}}[/tex]
[tex]\quad\quad \underline{ \boxed{\tt{ \red{(f \:•\: g)(x) = 4 {x}^{3} + {x}^{2} - 20x - 5 }}}}[/tex]
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
If the price of 12 shirts is rupees 3600 3/5 and of 6 pants is rupees 3000 1/5 . Find the price of 4 shirts and 4 pants
Given:
Price of 12 shirts = Rs. [tex]3600\dfrac{3}{5}[/tex]
Price of 6 pants = Rs. [tex]3000\dfrac{1}{5}[/tex]
To find:
The price of 4 shirts and 4 pants.
Solution:
It is given that,
Price of 12 shirts = Rs. [tex]3600\dfrac{3}{5}[/tex]
Price of 1 shirt = Rs. [tex]\dfrac{1}{12}\times 3600\dfrac{3}{5}[/tex]
Price of 4 shirts = Rs. [tex]\dfrac{4}{12}\times 3600\dfrac{3}{5}[/tex]
= Rs. [tex]\dfrac{1}{3}\times \dfrac{18003}{5}[/tex]
= Rs. [tex]\dfrac{18003}{15}[/tex]
Price of 6 pants = Rs. [tex]3000\dfrac{1}{5}[/tex]
Price of 1 pant = Rs. [tex]\dfrac{1}{6}\times 3000\dfrac{1}{5}[/tex]
Price of 4 pants = Rs. [tex]\dfrac{4}{6}\times 3000\dfrac{1}{5}[/tex]
= Rs. [tex]\dfrac{2}{3}\times \dfrac{15001}{5}[/tex]
= Rs. [tex]\dfrac{30002}{15}[/tex]
Now, the price of 4 shirts and 4 pants is:
[tex]\text{Required price}=\dfrac{18003}{15}+\dfrac{30002}{15}[/tex]
[tex]\text{Required price}=\dfrac{48005}{15}[/tex]
[tex]\text{Required price}=\dfrac{9601}{3}[/tex]
[tex]\text{Required price}=3200\dfrac{1}{3}[/tex]
Therefore, the price of 4 shirts and 4 pants is Rs. [tex]3200\dfrac{1}{3}[/tex].
A researcher’s garden contains 90 sweet pea plants,
which have either white or purple flowers. About 70 of the plants have purple flowers, and about 20 have white flowers.
Would you expect that one plant randomly selected from the garden will have purple or white
flowers? Explain
Hey buddy I am here to help!
No, because according to theoretically probability most of the sweet pea plants have purple flowers causing that one plant to have the probability purple flowers more than of the white flowers!
Here is teh mathematical way-
total plants = 90
purple flowers = 70
white flowers = 20
higher probability of flower = 70/90
Hope it helps!
Plz mark me brainliest
HELP ASAP I WILL GIVE BRAINLIST
Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and explain all work.
a. Write the exponential growth function to represent this function.
b. What will the population be in 2022? Round your answer to the nearest person
Answer:
A: the function is 537(0.3x)
B: so we just plug in the numbers where x is that amount of years so
52 years from 1970 so 2022
537(1.56)
x=837.72
so the answer is 838
Hope This Helps!!!
Need this done tonight please help!
Which is the graph of f(x) = square root 4x
The graph of f(x) = sqrt( 4x) looks like this. So choose the one that looks like the image attached.
Grace swam 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. How many kilometers did she swim in all? Use paper to show your work. Select the correct answer.
Answer: 0.85 km
Step-by-step explanation:
Since, Grace ran 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. And we need to know what her total of kilometer are in all. All is a clue word that tells us to add.
Add.
0.6+0.25= 0.85 km
An experiment consists of three steps. There are four possible results on the first step, three possible results on the second step, and two possible results on the third step. The total number of experimental outcomes is
Answer:
24 steps
Step-by-step explanation:
Given
[tex]Step\ 1 = 4[/tex]
[tex]Step\ 2 = 3[/tex]
[tex]Step\ 3 = 2[/tex]
Required
The total number of experimental outcomes (n)
This calculated by multiplying the results in each step.
[tex]n = Step\ 1 * Step\ 2 * Step\ 3[/tex]
[tex]n = 4*3*2[/tex]
[tex]n = 24[/tex]
(4-2)^2x5+9
Answer+step by step
Answer:
4-2 = 2
2x5+9 = 19
2^19 = 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 524288
Answer:
29
Step-by-step explanation:
Use PEMDAS
P- Parenthesis
E- Exponents
M- Multiply
D- Divide
A- Add
S- Subtract
(4-2)^2×5+9 first you do parenthesis which is (4-2)=2
(2)^2×5+9 next the exponents (2)^2=4
4×5+9 now the multiplication, 4×5=20
20+9 And now finish it off with the addition
So the answer ends up being 29.
Find the length of x, round too the nearest tenth
Answer:
Step-by-step explanation:
take 66 degree as reference angle
using sin rule
sin 66=opposite/hypotenuse
0.91=x/16
0.91*16=x
14.56=x
14.6=x (after converting it to nearst tenth)
Solve for x. 2(4x+7)=62
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]2(4x + 7) = 62 \\ 2 \times 4x + 2 \times 7 = 62 \\ 8x + 14 = 62 \\ 8x = 62 - 14 \\ 8x = 48 \\ x = \frac{48}{8} \\ x = 6[/tex]
✍ The value of x is 6.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Express 1.2 km as a percentage of 300 m
Answer:
1.2km is 400% of 300m
Step-by-step explanation:
1 km=1000m
So,1.2 km=1000*1.2=1200m
Let 1.2km(or 1200m) be x% of 300 m
By the problem,
300*x/100 = 1200
Or, 3x=1200
Or,x=1200/3=400
1.2km is 400% of 300m
Use the Normal model N(1112,56) for the weights of steers.
a) What weight represents the 66th percentile?
b) What weight represents the 94th percentile?
a) The weight representing the 66th percentile is pounds.
(Round to the nearest whole number as needed.)
b) The weight representing the 94th percentile is pounds.
(Round to the nearest whole number as needed.)
Answer:
See below for answers
Step-by-step explanation:
a) invNorm(0.66,1112,56) = 1153.097936 ≈ 1153 lbs
b) invNorm(0.94,1152,56) = 1199.067321 ≈ 1199 lbs
HCF Of 14608 And 720
Answer:
16.
Step-by-step explanation:
The highest common factor between the two is 16.
Answer:
GCF(14608,720) = 2⁴
Step-by-step explanation:
Factor both numbers:
14608 = 2⁴ * 11 * 83
720 = 2⁴ * 3² * 5
Therefore the greatest common factor is 2⁴
please help me with this question
Answer:
280
Step-by-step explanation:
p stands for cans of pop. if each can of pop is 35, then you need to multiply 8 by 35
A bag of candies contains 5 candies that are orange. The probability of reaching into the bag, taking 1 candy from the bag without looking, and getting an orange candy is 18 . How many candies in the bag are NOT orange? A:13 candles B:32 candles C:40 candles D:35 candles
Answer:
13
Step-by-step explanation:
18-5=13
From her eye, which stands 1.63 meters above the ground, Samantha measures the
angle of elevation to the top of a prominent skyscraper to be 18°. If she is standing at
a horizontal distance of 201 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
Answer:66.9 meters
Step-by-step explanation:
tan 18/1=x/201\
20tan18=x
201 tan 18=x
x=65.308858...
65.308858...+1.63= 66.938858...
≈ 66.9 meters tall
The height of the skyscrapers is 66.9 meters.
Given
From her eye, which stands 1.63 meters above the ground, Samantha measures the angle of elevation to the top of a prominent skyscraper to be 18°.
If she is standing at a horizontal distance of 201 meters from the base of the skyscraper,
The angle of elevation;The angle of elevation of the sun is the angle formed between the horizontal line and your line of sight when you look at the sun.
Then,
The height of the skyscrapers is given by;
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}[/tex]
Substitute the values in the formula
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\\rm Tan18=\dfrac{x}{201}\\\\x = tan18\times 201\\\\x=65.30[/tex]
Therefore,
The height of the skyscraper is;
= 65.30 + 1.63 = 66.9
Hence, the height of the skyscrapers is 66.9 meters.
To know more about the angle of elevation click the link given below.
brainly.com/question/12992313
how many years (to two decimal places) will it take an investment of $17,000 to grow to $41,000 if it is invested at 2.95% compounded continuously
Answer:
30 years
Step-by-step explanation:
Given data
P=$17,000
A= $41,000
R=2.95%
the expressio for the time is
t= ln(A/P)/r
t= ln(41,000 /17000)/0.0295
t= ln(2.41176)/0.0295
t= 0.8803/0.0295
t= 29.8
about 30 years
At six flags Great Adventure, the fastest rollercoaster is KingDaKa, which is 50 seconds long. In Canada's Wonderland, the rollercoaster Leviathan is 3 minutes and 20 seconds long. The duration of KingDaKa is what percent of the duration of the Leviathan?
Answer:
1 min and 20 seconds
Step-by-step explanation:
calculate the volume of each cone. Use 3.14 for π. Round the answer to the nearest hundredth if necessary.
Answer:
V = 217.71 in^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
V = 1/3 (3.14) (4)^2 ( 13)
V = 217.70666
Rounding the the nearest hundredth
V = 217.71 in^3
Can someone help me out? Due today! Solve for x. Assume that lines which appear tangent are tangent. 11&12 please
Answer:
11. C
12. A
Step-by-step explanation:
11. (10 + x + 1)(x + 1) = (x + 5)² (secant-tangent rule)
(11 + x)(x + 1) = (x + 5)(x + 5)
11(x + 1) +x(x + 1) = x(x + 5) +5(x + 5)
11x + 11 + x² + x = x² + 5x + 5x + 25
Add like terms
x² + 12x + 11 = x² + 10x + 25
Collect like terms
x² - x² + 12x - 10x = -11 + 25
2x = 14
2x/2 = 14/2
x = 7
12. (x + 8)(8) = (15 + 9)(9) (secant-secant theorem)
8x + 64 = 216
Subtract 64 from each side
8x = 216 - 64
8x = 152
8x/8 = 152/8
x = 19
the fraction 6/10 is equivalent to which of the following? 12/24 or 24/40 or 3/6 or 16/20
Answer:
24/40
Step-by-step explanation:
6/10
= (6×4) / (10×4)
= 24/40
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :[tex]\frac{6}{10}[/tex] = ...
= [tex]\frac{(6 × 4)}{(10 × 4)}[/tex]
= [tex]\bold{\frac{24}{40}}[/tex]
y - 4x = -2
2y - 8x = -4
Answer:
Using substitution method
First make y in equation 1 the subject of formula
Y=4x-2
Sub in equation 2
2(4x-2)-8x=4
8x-4-8=4
8x=4+12
8x=16
X=2
Sub in any of equation to get y
Step-by-step explanation:
Y =4(2)-2=6
Answer:
(x, -2+4x)
Step-by-step explanation:
See The image below:)
What is in the shape of a triangular pyramid and has a height of 10 inches the area of the base of the container is 12 in.² what is the volume of the figure actually inches
Answer:
60 cubic inches
Step-by-step explanation:
if its a triangle you have to divide it by 2 because its half of a square so its half of an answer so in this case you multiply 10 and 12 which gets you 120 divide that by 2 you get 60 and that's your answer.
If you know how to solve this, Please answer it. Thank You
Please show your work and the steps.
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answer:
2 Step-by-step explanation:
in the places there is X you put -3 , -3 squared minus 7 is equal to 9 , 9-7 is equal to 2
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided : F ( x ) = x² - 7 & we're asked to evaluate F ( - 3 ).All you need to do is to assume the value of x as ( - 3 ).[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
When x = ( - 3 ) ,[tex] \large{ \tt{⋆ \: f( - 3) = {( - 3)}^{2} - 7}}[/tex]
[tex] \large{ \tt{↦ \: f( - 3) = ( - 3) \times ( - 3) - 7}}[/tex]
Multiplying a negative integer by a negative integer gives a positive integer![tex] \large{ \tt{↦f( - 3) = 9 - 7}}[/tex]
[tex]↦ \large{ \tt{f( - 3) = \boxed{ \tt{2}}}}[/tex]
Hence , F ( - 3 ) = 2 .[tex] \tt{✺ \: COMFORT \: IS \: THE \: ENEMY \: OF \: ACHIEVEMENT\: ♪}[/tex]
♡ Hope I helped! ♕
☃Have a wonderful day / evening ! ☼
# StayInAndExplore ! ☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
can anyone please tell the answer of the 2 questions!!!! please!!!!
Answer:
1.c
2.c
here is your answer
Answer:
if you asking 9th question so answer is...
(b) is the correct answer.
I guess this may help you...
I need help immediately 156 1/42- 55 1/6
Answer:
100 6/7
Step-by-step explanation:
156 1/42-55 1/6
= 156 1/42 - 55 7/42
=100 36/42
=100 6/7
Answer:
100 6/7
Step-by-step explanation:
156 1/42-55 7/42
=100 36/42
=100 6/7
What is the name of the shape depicted in the graph below?
A. Limaçon
B. Lemniscate
C. Rose
D. Cardioid
Answer: Lemniscate
Step-by-step explanation:
The name of the shape depicted in the graph is Lemniscate option (B) is correct.
What is lemniscate?It is defined as a two-dimensional shape that has a two-closed curve that meets at the center. The shape exactly looks like a mathematical symbol infinity ∞
The lemniscate is a Greek word that means a ribbon because the shape looks like a ribbon.
The algebraic equation for the lemniscate is given by:
[tex]\rm \left(x^{2}+y^{2}\right)^{2}=a \left(x^{2}-y^{2}\right)[/tex]
Where a is the constant.
If we put x = 0 and a = 1 we get y = 0
If we put x = 1 and a = 1 we get y = 0
If we put x = -1 and a = 1 we get y = 0
And so on we will get a curved shape shown in the picture.
Thus, the name of the shape depicted in the graph is Lemniscate option (B) is correct.
Learn more about the lemniscate here:
https://brainly.com/question/12478682
Point P is the center of the circle below. What is the exact area
of the shaded sector in terms of pi?
A. 16 units?
B. 48units?
C. 120 units
D. 192 units
Need HELP ASAP PLEASEE check the picture
Answer:
192π unit²
Step-by-step explanation:
Given that :
Radius = 24
Area of circle = πr²
Area = π*24²
Area = 576π in²
The Shaded area is 120°
Entire Circumference = 360°
Hence, shaded area = 120°/ 360° = 1/ 3 of the area
1/3 * 576π in²
= 192π unit²
Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, four green ones, three white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She does not have all the red ones.
Answer:
0.8586 = 85.86% probability that she does not have all the red ones.
Step-by-step explanation:
The marbles are grabbed without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this question:
Bag has 4 + 4 + 3 + 1 = 12 marbles, which means that [tex]N = 12[/tex]
She grabs eight of them, which means that [tex]n = 8[/tex]
Four are red, which means that [tex]k = 4[/tex]
Probability that she does not have all the red ones.
This is
[tex]P(X < 4) = 1 - P(X = 4)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,12,8,4) = \frac{C_{4,4}*C_{8,0}}{C_{12,8}} = 0.1414[/tex]
Then
[tex]P(X < 4) = 1 - P(X = 4) = 1 - 0.1414 = 0.8586[/tex]
0.8586 = 85.86% probability that she does not have all the red ones.
pls answer soon, i needa halp
Answer:
3/4 is .75
Step-by-step explanation:
the model is showing to break it up into .25 sections, 3 .25 sections = .75
