The product of the expression (3x² - 2) (4x² + 5x) is 12x⁴ + 15x³ - 8x² - 10x.
What is Multiplication?
Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given expression is (3x² - 2) (4x² + 5x).
This can be written as,
(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)
We have to use distributive property here.
a(b + c) = ab + ac for any three numbers or expressions, a, b and c.
(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)
= (12x⁴ + 15x³) - (8x² + 10x)
= 12x⁴ + 15x³ - 8x² - 10x
Hence the product is 12x⁴ + 15x³ - 8x² - 10x.
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PLEASE HELP ME NO LINKS I AM BEGGING U !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
x = 70
Step-by-step explanation:
The measure of the angle x° is half the sum of the intercepted arcs.
x° = (112° +28°)/2 = 140°/2
x° = 70°
Find w. Round to the nearest tenth.
A. 4.4
B. 1.2
C. 39.5
D. 5.0
Answer:
Answer is A I believe
Step-by-step explanation:
The value of w from the given triangle VWX is 5 units. Therefore, option D is the correct answer.
What is sine rule?Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
The formula for sine rule is sinA/a=sinB/b=sinC/c
From the given triangle VWX, ∠X=51°, ∠W=16° and VW=x=14.
Here, sinX/x=sinW/w
sin51°/14=sin16°/w
0.7771/14=sin16°/w
0.7771/14=0.2756/w
0.0555=0.2756/w
w=0.2756/0.0555
w=4.965
w≈5
Therefore, option D is the correct answer.
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Vito Corleone has planned a grand outdoor summer wedding for his daughter in New York City. In the past couple of years, it has rained only 25 days out of the 92 days of summer. Unfortunately for Vito, the local meteorologist has predicted that it will rain on the day of the wedding. On a typical summer day: given it rains, the meteorologist predicted that it will rain correctly) 80% of the time On the other hand, given it did not rain, the meteorologist predicted it will rain (incorrectly 20% of the time.
A. What is the probability that the meteorologist predicts that it rains on a given summer day?
B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?
Answer:
a) 0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.
b) 0.5989 = 59.89% probability that it actually rains on the day of the wedding
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
A. What is the probability that the meteorologist predicts that it rains on a given summer day?
80% of 25/92(prediction of rain, and rained).
20% of 67/92(prediction of rain, did not rain). So
[tex]P = \frac{0.8*25}{92} + \frac{0.2*67}{92} = 0.3630[/tex]
0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.
B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?
Conditional Probability, in which:
Event A: prediction of rain
Event B: rain
0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day, which means that [tex]P(A) = 0.3630[/tex]
Rain and prediction of rain:
80% of 25/92. So
[tex]P(A \cap B) = \frac{0.8*25}{92} = 0.2174[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2174}{0.3630} = 0.5989[/tex]
0.5989 = 59.89% probability that it actually rains on the day of the wedding
The average of Aaron's three test scores must be at least 93 to earn an A in the class. Aaron scored 89 on the first
test and 94 on the second test. What scores can Aaron get on his third test to guarantee an A in the class? (The
highest possible score is 100.)
15
Write an inequality that models this situation. Use the variable s to represent his score on his third test.
Answer:
Aaron must obtain a 96 or higher to achieve the desired score to earn an A in the class.
Step-by-step explanation:
Given that the average of Aaron's three test scores must be at least 93 to earn an A in the class, and Aaron scored 89 on the first test and 94 on the second test, to determine what scores can Aaron get on his third test to guarantee an A in the class, knowing that the highest possible score is 100, the following inequality must be written:
93 x 3 = 279
89 + 94 + S = 279
S = 279 - 89 - 94
S = 96
Thus, at a minimum, Aaron must obtain a 96 to achieve the desired score to earn an A in the class.
Aaron must score atleast 90 marks in third test.
Aaron scores in the first test = 89
Aaron scores in the second test = 94
And the average of Aaron's three test scores must be at least 93 to earn an A.
Let Aaron scores in the third test = s
Then,
Average = sum of terms divided by the number of terms.
[tex]\frac{89+94+s}{3} \leq 93\\89+94+s\leq 93\times3\\183+s\leq 279\\s\leq 279-189\\s\leq 90[/tex]
So, Aaron must score atleast 90 marks in third test.
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a train leaves a station at 18:20 and arrives its destination at 02:28.How long did it take?
Answer:
8 hours and 8 minutes
Step-by-step explanation:
there are 24 hours on the clock so if you add 6 to the 24 it would make you be at 0:00 so then you would add 2 hours and since 28 is 8 more than 20 it would be 8 hours and 8 minutes.
PLEASE HELP!!!!!!!!!:(
Answer:
19 150 1 x 4 = 4 4 x 0 = 0 20 288 Commutative Property Associative Property Distributive Property Identity Property Associative Property Associative PropertyBrainlist Pls!
2) A restaurant sold 63 pizzas and 49 hot dogs last week.
How many pizzas on average were sold each day?
Answer:
About 9 pizzas were sold each day.
Step-by-step explanation:
let: f(x)=x+1 and g(x)=x^2-2
find: f(x) • g(x)
Answer:
Use Photo Math!!! It will help you and explain everything
Answer:
x³ + x² - 2x -2
Step-by-step explanation:
What is the measure of the unknown angle?
Answer:
24
Step-by-step explanation:
x+120+36=180
x+156=180
x=180-156
x=24
NEED HELP I SUCK AT GEOMETRY (OFFERING 100POINTS)!!! best answer get brainlest
Prove segment AMAM is congruent to segment CMCM.
As its a parallelogram Both diagonals bisects each other.
[tex]\\ \sf\longmapsto AC\cong BD[/tex]
[tex]\\ \sf\longmapsto AC\cong AC[/tex]
Take half[tex]\\ \sf\longmapsto \dfrac{1}{2}AC\cong\dfrac{1}{2}AC[/tex]
[tex]\\ \sf\longmapsto AM\cong CM[/tex]
Volume of a sphere -
where r is the radius.
A cylinder has radius x and height h.
3x
A hemisphere has radius
2
r: h= 4:9
Prove that the cylinder and the hemisphere have the same volume.
[4marks]
The volume of hemisphere is equal to the volume of the cylinder and the volume is equal to the 9/4× π×x³.
From the given, the volume of the sphere with radius r,
Volume of sphere = (4/3)πr³
The volume of the cylinder with radius x and height h,
Volume of cylinder = π×r²×h
= π×x²×h
The ratio of the radius and height (x:h) = (4:9)
the height of the cylinder is h= (9x/4)
Volume of the cylinder = π×x²×(9x/4)
= π×x³×(9/4)
The hemisphere radius, r = (3x/2)
Volume of hemisphere = 1/2 (Volume of sphere)
= 1/2 (4/3 × π×r³)
= 1/2 (4/3 × π ×(3x/2)³) (where r= (3x/2))
= (9/4×π×x³)
Thus, the volume of cylinder and the volume of hemisphere is same and is equal to 9/4×π×x³.
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use the map for exercises 13 to 15
Answer:
yes he is correct for 13
peyton hikes. 6 1/80
no it would not be a greater distance because if you do 9/10 times 3 and turn the answer into a decimal the red trail is a greater distance.
Step-by-step explanation:
yes he is correct for 13
peyton hikes. 6 1/80
no it would not be a greater distance because if you do 9/10 times 3 and turn the answer into a decimal the red trail is a greater distance.
so guys if you want to mark b please help me first and i will mark you b
Answer:
I think it's A : more than $0 but less than $4100
Need help ASAP for exam!!!Solve for x. Just type the NUMBER with no spaces. It will be marked wrong if you don't. If you want to write a square root, for example square root of 5
Answer:
Step-by-step explanation:
What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?
28 m3
38 m3
44 m3
48 m3
Answer:
48m
Step-by-step explanation:
Formula: lwh
4*2*6=48m
Answer:
48
Step-by-step explanation:
The prism below is made of cubes that measure 1/2 of an inch on one side. What is the volume?
Answer:
the answer is C. 5 cubic in
Step-by-step explanation:
V = LWH
length is 2 (1/2 in)
width is 5 (1/2 in)
height is 4 (1/2 in)
V = (2/2) (5/2) (2)
V = 1 * 5/2 * 2
V = 5 cubic in
Check all that apply?
Answer:
B AND D
Step-by-step explanation:
What is the area of the figure below? 4.5 m 14m 6m
Answer:63m^2
Whole quiz
36in^2
63m^2
26in^2
96m^2
Answer:
[tex]63m^{2}[/tex]
Step-by-step explanation:
In a tennis tournament, 25% of Sarah’s serves were aces. Design a simulation to predict how many aces you expect Sarah to serve out of 50 serves.
HELP PLEASE I'LL GIVE BRAINLIEST!!!!!!!!!
Answer:
12.5
Step-by-step explanation:
u put the decimal at the end of 25 then u times it by 50 and there u get ur answer
hope this helps :D
14. A helicopter descends 82 meters to an altitude of 45 meters.
The equation a -- 82 = 45 can be used to find the helicopter's
starting altitude a in meters. What is the starting altitude of
the helicopter? (CC.6.EE.7)
A 37 meters
(В
43 meters
© 127 meters
D 161 meters
A helicopter descends 82 meters to an altitude of 45 meters. The equation a-82=45 can be used to find the helicopters starting altitude a in meters. What is the starting altitude of the helicopter?
Answer:
C. 127 metresStep-by-step explanation:
a - 82 = 45
-82 moves to the right of the "=" sign = +82
a = 45 + 82
a = 127 metres (option C)
_________________
#StayPositive - kexcvi
Answer:
c. 127
Step-by-step explanation:
a - 82 = 45
+82 +82 add 82 to both sides
a = 127
1. What is the solution to the equation 4(x+3)=24
x=5.25
x=3
x=6.75
x=6
Answer:
x = 3
Step-by-step explanation:
Your first step is to divide each side by 4. This would give you x + 3 = 6. Now, all you have to do is subtract 3 from the left side to move it to the right. This would give you the final answer of x = 3.
Answer:
x = 3
Step-by-step explanation:
4(x + 3) = 24
First we want to isolate the binomial x + 3 by dividing both sides by 4.
x + 3 = 6
Now, subtract 3 from both sides.
x = 3
This is your answer.
Check your answer by plugging x = 3 back into the equation.
4(x + 3) = 24
4(3 + 3) = 24
4(6) = 24
24 = 24
Your answer is correct.
Hope this helps!
What’s the answer to this question need help !!!!!!!!!!!
Answer:
A.Yes, [tex]6^{2} + 8^{2} = 10^{2}[/tex]
Step-by-step explanation:
watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow.
terms:
• impossible
• likely
• unlikely
• certain
probability:
1. probability of rain < 1/2
2. probability of rain = 0
3. probability of rain = 1
4. probability of rain > 1/2
Answer:
Probability:
1. probability of rain < 1/2 -------- Unlikely
2. probability of rain = 0 -------- Impossible
3. probability of rain = 1 -------- Certain
4. probability of rain > 1/2 --------- Likely
Step-by-step explanation:
Given -
Terms:
• impossible
• likely
• unlikely
• certain
Probability:
1. probability of rain < 1/2
2. probability of rain = 0
3. probability of rain = 1
4. probability of rain > 1/2
To find - Watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow.
Proof -
Probability:
1. probability of rain < 1/2 -------- Unlikely
2. probability of rain = 0 -------- Impossible
3. probability of rain = 1 -------- Certain
4. probability of rain > 1/2 --------- Likely
Reason -
Probability is the chance that an event will occur. Weather predictions are based on probability.The probability of an event occurring is represented by a ratio.A ratio is a number that is between 0 and 1 and can include 0 and 1.
An event is impossible if it has a probability of 0.Having 13 months in a year has the probability of 0.
An event is certain if it has the probability of 1.The probability that the sun will rise tomorrow morning is 1
1. The figure below shows a triangle with a perimeter of 110 meters. Two sides measure 32.75 meters each.
left side 32.75 m, right side, 32.75 m, bottom ?
What is the length, in meters, of the third side?
What is the median of this data set?
{13, 8, 12, 8, 12, 3}
Enter your answer in the box.
{13, 8, 12, 8, 12, 3}
3, 8, 8, 12, 12, 13
median — (8 + 12) : 2 = 20 : 2 = 10
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{The word \underline{median} means the number in the CENTER (the \bf middle}\\\large\text{number).}\\\\\\\large\text{To find your median you have to put your numbers from least}\\\large\text{(smallest) to greatest (biggest).}[/tex]
[tex]\large\text{Your data slot: \textsf{13, 8, 12, 8, 12, \& 3}}[/tex]
[tex]\large\text{Conversion: \textsf{3, 8, 8, 12, 12, \& 13}}[/tex]
[tex]\large\text{Finding your result: }\large\boxed{\rm{\dfrac{8+12}{2}}}\\\\\large\boxed{= \rm{\dfrac{20}{2}}}\\\\\\\large\boxed{= \rm{\dfrac{20\div2}{2\div2}}}\\\\\\\large\boxed{\rm{= \dfrac{10}{1}}}\\\\\\\large\boxed{= 10\div 1}\\\\\\\large\boxed{\rm{= 10}}[/tex]
[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the sum of the largest and smallest recorded capacity?
Answer:
A) 3 2/4
Step-by-step explanation:
1+2 2/4= 3 2/4
Stacia walked a total of 30,375 feet. If 2 miles is 10,560 feet, how far did Stacia walk in miles?
Answer:
62
Step-by-step explanation:
Answer:
I believe the answer is 5.8 miles
Step-by-step explanation:
I believe this is the correct answer, although it is possible I am wrong.
This is how I solved this problem:
I divided 10,560 feet by 2, which equals 5280 feet in a mile
Then I divided 30,375 feet by 5280 feet to get 5.7528409
Since there is no way this is the correct simplification, you need to round to the nearest tenth.
5.7528409 is about 5.8 miles
What is the midpoint of the segment below? (-12, -3) (3, -8)
The second group of 20 squirrels of a different breed is placed on a different ranch. The population of squirrels triples each year. Write an equation to model this new situation.
Answer: send group
Step-by-step explanation:
i got used for points like 4- times already 5 time is a charm someone would help ?
Answer:
B
Step-by-step explanation:
Because i said it is
Answer:
The answer for A is (3,5) so plot that into the graph. Those are the coordinates for F
The answer for B is "F and C are 5 units away from the x-axis
The answer for C is "The distance between F and C is 10 units"
Step-by-step explanation: