Answers
Answer:
10x³ - 6x² - 9x + 12
Extra information:
★ Cubic polynomial: A polynomial of degree three is called cubic polynomial.
It is of the form P ( x ) = ax³ + bx² + cx + d [ Where a,b,c,d are real numbers and a is not equal to 0 . ]
Related Questions
HELP ASAP PLEASE!!! A patient is to take 60 milligrams (mg) of an antibiotic on day 1, take 45 milligrams (mg) on day 2, take 30 milligrams (mg) on day 3 and take 15 milligrams (mg) on day 4. How many total milligrams (mg) will the patient take? (Show your work)
Answers
Answer:
150 mg
Step-by-step explanation:
This is an addition problem. Simply add the mg of the antibiotic that the patient takes each day.
So you would do:
60+45+30+15 = 150
Since you get a result of 150, 150 mg is the answer.
The addition is one of the four fundamental mathematical operations. The patient will take a total of 150 mg of antibiotics.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
The total amount of antibiotics the patient will take is,
Total Antibiotic = 60mg + 45mg + 30mg + 15mg = 150 mg
Hence, the patient will take a total of 150 mg of antibiotics.
Learn more about Addition:
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in a certain group of students, the probability of a randomly chosen students being male is 40%, the probability of the students studying in Spanish is 18%, and the probability of the student being male who study Spanish is 5%. What's the probability of the student studying Spanish, if you know the students male?
Answers
Divide the 5% of Spanish by 40% male:
0.05 / 0.40 = 0.125
Change to a percent by multiplying by 100:
0.125 x 100 = 12.5%
The answer is a. 12.5%
The probability of the student studying Spanish, if you know the students male will be 12.5%.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given that in a certain group of students, the probability of a randomly chosen student being male is 40%, the probability of the students studying Spanish is 18%, and the probability of the student being male who studies Spanish is 5%.
The probability of the student studying Spanish, if you know the student male will be calculated as below:-
Divide the 5% of Spanish by 40% of males:
0.05 / 0.40 = 0.125
Change to a percent by multiplying by 100:
0.125 x 100 = 12.5%
Therefore, the probability of the student studying Spanish, if you know the students male will be 12.5%.
To know more about probability follow
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La distancia en Km. De Santo Domingo a Puerto Plata está dada por la expresión D = 4x³- 10x² -6. ¿Cuál es la distancia aproximada de santo Dom. A Puerto Plata si X = 6 km?
Answers
Answer:
The distance when x = 6km is D = 498 KM
Step-by-step explanation:
Here, given the formula for the distance, we want to find the distance D given the value of x to be 6km
What we do simply here is to substitute the value 6km as x in the equation
The equation is
D = 4x^3 - 10x^2 -6
Substituting x = 6, we have
D = 4(6^3) -10(6^2) -6
D = 864-360-6
D = 498 km
•given ABCD is a kite, check every box that must be true
•use calculations and words to show this quadrilateral meets the definition of a kite
any help would be appreciated <3
Answers
Answer:
Step-by-step explanation:
A kite is a quadrilateral made up of two isosceles triangles. A kite does not have any parallel side, but has two pairs of equal adjacent sides. All four sides are not congruent, only two pairs of consecutive sides are congruent.
The vertices of a kite are right angles. The diagonals bisect each other at right angles ( that is they are perpendicular). Therefore the following are true:
1) two pairs of consecutive sides are congruent
2) The diagonals are perpendicular
3) The diagonals bisect each other.
Point A= (3,6), B = (5,0), C= (-2,-4) D = (-3,4)
[tex]AB=\sqrt{(0-6)^2+(5-3)^2}=\sqrt{40} \\AD=\sqrt{(4-2)^2+(-3-3)^2}=\sqrt{40}\\ BC=\sqrt{(-4-0)^2+(-2-5)^2}=\sqrt{65}\\ DC=\sqrt{(4-(-4)^2)+(-3-(-2))^2}=\sqrt{65}[/tex]
AB=AD, BC = BC.
This is a kite since two pairs of consecutive sides are congruent
Name and classify the basic geometric object each real life object represent using correct mathematical notation. a. The location of a city on a map b. The angle of a recliner c. Row of corn in a garden d. The angle of a lawn chair when laid all the way down e. An arrow f. The angle of a jet taking off at an airport g. The angle a flag pole sits with the ground
Answers
Answer:
a. A point
b. Obtuse angle
c. A line segment
d. 180 degrees
e. A ray
f. An acute angle
g. 90 degrees
Step-by-step explanation:
a. A point (a place on a plane that has no dimension)
b. Obtuse angle (any angle over 90 degrees)
c. A line segment (a part of a line)
d. 180 degrees (The angle of a line or line segment)
e. A ray (a line segment with one end extending forever)
f. An acute angle (Any angle under 90 degrees)
g. 90 degrees (the pole is perpendicular to the ground)
ax+by=(a-b) , bx - ay =(a+b) simultaneous linear equations using cross multiplication
Answers
Answer:
[tex]x=1\,,\,y=-1[/tex]
Step-by-step explanation:
Given: [tex]ax+by=a-b\,,\,bx-ay=a+b[/tex]
To solve: the given linear equations
Solution:
Consider the equations:
[tex]A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0[/tex]
By method of cross multiplication:
[tex]\frac{x}{B_1C_2-B_2C_1}=\frac{y}{C_1A_2-C_2A_1}=\frac{1}{A_1B_2-A_2B_1}[/tex]
For equations: [tex]ax+by=a-b\,,\,bx-ay=a+b[/tex]
[tex]ax+by-(a-b)=0\\bx-ay-(a+b)=0[/tex]
Take [tex]A_1=a\,,\,B_1=b\,,\,C_1=-(a-b)\,,\,A_2=b\,,\,B_2=-a\,,\,C_2=-(a+b)[/tex]
So,
[tex]\frac{x}{-b(a+b)-a(a-b)}=\frac{y}{-b(a-b)+a(a+b)}=\frac{1}{-a^2-b^2}\\\frac{x}{-ab-b^2-a^2+ab}=\frac{y}{-ab+b^2+a^2+ab}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{1}{-(a^2+b^2)}\,,\,\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\x=1\,,\,y=-1[/tex]
Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centimeters. He will make the "X" by stretching red ribbon diagonally from corner to corner.
How many centimeters of ribbon will Peter need to make the "X"?
Round your answer to the nearest centimeter.
Answers
Answer: 34 cm
Step-by-step explanation:
Hi, since the situation forms 2 right triangles (see attachment) we have to apply the Pythagorean Theorem (to one triangle)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between corners) and a and b are the other sides.
Replacing with the values given:
c^2 = 12^2 + 12^2
c^2 =144+144
c^2 = 288
c = √288
c = 16.97 cm = 17 cm (rounded)
The other diagonal has the exact same lenght (because the flag is a square)
So, we have to multiply the length of the ribbon by 2:
17 x2 = 34 cm
Feel free to ask for more if needed or if you did not understand something.
Answer:
34
Step-by-step explanation:
I did it on Khan
Help me for brainliest...
The scale on a map is 1:320 000. What is the actual distance represented by 1 centimere? Give your answer in kilometres.
Answers
Answer:
1cm = 320 km?
Step-by-step explanation:
Answer:
[tex]3.2km[/tex]
Step-by-step explanation:
[tex]1 \: : 320000 \\ 1cm = 320000cm[/tex]
[tex]1cm = 100m \\ [/tex]
[tex]1cm = 320000cm \\ 1cm = 3200m[/tex]
[tex]1km \: \: = 1000m[/tex]
[tex]1cm = 3200m \\ 1cm = 3.2km[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what is the midpoint of the segment shown below?
Answers
Answer:
(5, 1/2)
Step-by-step explanation:
To find the midpoint
Take the sum of the x coordinates and divide by 2
(5+5)/2 = 10/2 = 5
Take the sum of the y coordinates and divide by 2
(4+-3)/2 = 1/2 = 1/2
The midpoint is ( 5, 1/2)
It is answer D
Its is exactly in between these to values
What is the range of the function shown in the graph?
Answers
Answer:
D. -∞ < y < 5
Step-by-step explanation:
The range are all the possible values for y that the function can take. In the graph we can see that the highest value for y is 5 and there isn't a lowest value for y. It means that the range are values between -∞ and 5.
So the range is:
-∞ < y < 5
Plzz help!! Please explain.! Will choose BRAINLIEST!!!
Answers
Answer: 3
Step-by-step explanation:
A simple way to calculate the distance between numbers on a number line is to count every number between them. A faster way is to find the distance by taking the absolute value of the difference of those numbers. We have to find PQ. TAking the difference we have 94-91= 3.
Answer:
[tex]3[/tex]
Step-by-step explanation:
You can find the length by subtracting.
[tex]Q-P[/tex]
[tex]94-91[/tex]
[tex]=3[/tex]
You can also find the length by counting the units of the distance covered between the points.
The sum of the two numbers is 49 and the difference is 11. What are the numbers?
Answers
Answer:
30,19
Step-by-step explanation:
let the numbers be x and y,x>y
x+y=49
x-y=11
add
2x=60
x=60/2=30
30+y=49
y=49-30=19
Answer:
x = first number = 30 and y = second number = 19
Step-by-step explanation:
let the first number be x and second number be y.
According to the given information
The sum of the two numbers is 49
Here, we get the equation.
x + y = 49
Now, Similarly second given information
the difference is 11.
Here, we get the equation.
x - y = 11
Now,
Step 1:
Name the equations
x + y = 49 ...(1)
x - y = 11 ...(2)
Step 2:
Now,
From equation (1) we get,
x = 49 - y
Substitute the value of x = 49 - y in equation (2) we get,
x - y = 11
i.e.,
49 - y - y = 11
49 - 2y = 11
-2y + 49 = 11
2y - 49 = - 11
2y = 49 - 11
2y = 38
y = 38/2
y = 19
Step 3:
Now,
Put the value of y = 19 in equation (1), we get.
x + y = 49
i.e.,
x + 19 = 49
x = 49 - 19
x = 30
Thus, The value of x = first number = 30 and y = second number = 19
VERIFICATION:30 + 19 = 49
30 - 19 = 11
Is the relation a function
Yes
No
Answers
Answer:
Yes
Step-by-step explanation:
As long as the input has an output it will always be a function.
Answer:
Yes
Step-by-step explanation:
Because there isn't a number in the input colum that is repeated like:
1
1
2
3
Instead each number is individual and they aren't repeated.
If they were repeated then it would NOT be a function.
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
If 30% of a company's advertising budget is $7,200, then what is the full advertising budget?
Answers
Answer:
$24000
Step-by-step explanation:
Let the full advertising budget of the company be $x.
Therefore, 30% of x = $7,200
[tex]\frac{30}{100} \times x= 7200 \\\\x = \frac{100}{30} \times 7200\\\\x = 100 \times 240\\\\x = \$24000[/tex]
Hence, full advertising budget of the company is $24000.
5. Shirley buys a fax machine and sells it to De
at a gain of 25% on the cost price. Devi then ses
the fax machine to Amirah at a loss of 250 on the
price at which she buys it from Shirley. If Amirah
pays $360 for the fax machine. how much die
Shirley pay for it
Answers
Answer:
Shirley bought a fax machine and sells to Devi at a profit of 25% on the cost price.
Shirley buy price:: x
Devi buy price:: 1.25x
Devi sells the fax machine to Amirah at a loss of 250 on the price which she buys it from Shirley.
Amirah buy price = 1.25x -250
if Amirah pays $360 for the fax machine,how much did Shirley pay for it?
Equation:
1.25x - 250 = 360
1.25x = 360 + 250
x = 610 / 1.25
x = 488
Ans: x = $488 (Price Shirley paid)
In a box of crayons 2/5 the crayons are green and 1/6 of purple how much greater is the fraction of green crayons than that of purple A) 1/3 B)3/11 C)1/30 D)7/30
Answers
Answer: 7/30
Step-by-step explanation: 2/5-1/6= 7/30, if it helps pls mark me as brainliest
Please help with this!!! My grade depends on it!!!
Answers
Answer:
52 degree
Step-by-step explanation:
So using cos again again :v
AC^2 = AB^2 +BC^2 - 2ABBCcosB
AC = 31.796cm
then
BC^2=AB^2 + AC^2 -2ABACcosA
Cos A = 0.61
A=52.17degree
Simplify (4^3)^5
A.(1/4)^15
B.4^15
C.12^5
D.4^8
Answers
Answer:
4^15
Step-by-step explanation:
(4^3)^5
We know a^b^c = a^(b*c)
(4^3)^5 = 4^(3*5) = 4^15
Answer:
[tex] {4}^{15} [/tex]
Answer B is correct
Step-by-step explanation:
[tex]( { {4}^{3} })^{5} \\ {4}^{3 \times 5} \\ = {4}^{15} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
This table shows the number of different sized pipes that have been used at Highfield Builders in January.
The pipes are grouped according to the size of their diameter.
January: Number of Pipes Used (by Grouped Size)
Diameter (cm)
35-39
40-44
45-49
50-54
55-59
Frequency
8
10
13
3
1
The manager thinks that the mean diameter of pipe used must be in the 45-49 cm group as this is the group
most used.
Is the manager correct?
Show your working out and write the answer in the box below.
(5 marks)
Answers
Answer:
No
Mean diameter = 44, which is in the 40 - 44 cm group
Step-by-step explanation:
Given the data:
Diameter (cm) - mid point(X) - frequency(F) - - FX
35-39 - - - - 37 - - - - 8 - - 296
40-44 - - - 42 - - - 10 - - - 420
45-49 - - - 47 - - - 13 - - - 611
50-54 - - - 52 - - - 3 - - - 156
55-59 - - - 57 - - - 1 - - - 57
Mean of grouped data:
Sum of (F × X) / sum of F
1540 / 35 = 44
An empty cup in the shape of a cylinder (pictured below) is being filled with water.
7
cm
7 cm
3
cm
3 cm
The cup is filled at a constant rate. The table below shows the amount of water in the cup at specific times.
Number of seconds Amount of water
(
cm
3
)
(cm
3
)left parenthesis, start text, c, m, end text, cubed, right parenthesis
0
00
0
00
3
33
75
7575
6
66
150
150150
Find the percent of the cup that is filled with water after
7
77 seconds.
Use
3.14
3.143, point, 14 for
π
πpi and round your final answer to the nearest percent.
%
Answers
Answer:
The answer is 88%
After 7 seconds the cup is about 88% filled with water.
The slope of the line whose equation is 6x = 4y - 7 is 1. 4 2. 2/3 3. 3/2
Answers
Answer:
3/2
Step-by-step explanation:
Divide by 4 to get 6x/4 = 3x/2
Juan examines the sequence 1, 3, 4, 7, 11, . . . and draws the conclusion that the next number in the sequence is 18. Which statements regarding the situation are accurate? Check all that apply.
Juan used inductive reasoning.
Juan's conclusion is a conjecture.
Juan's conclusion is not possible.
Juan's conclusion is a counterexample.
Juan based his conclusion on patterns.
Answers
Answer:
Juan conclusion is counterexample
Answer:
1, 2, and 5
Step-by-step explanation:
given the graphed function below which of the following ordered pairs are found on the inverse function
Answers
Answer:B
Step-by-step explanation:
Answer: A
Step-by-step explanation:my answer was A and it was correct
-6x+2y=-18. -3x-2y=54
Answers
Answer:
x = -4
y = -21
Step-by-step explanation:
To solve this, we will need to set up a system of equations and get rid of a variable.
-3x - 2y = 54
-6x + 2y = -18
From this, we can see that the 'y' variables can be cancelled out if we add the two together. This means that we must add these equations to each other to cancel out the 'y' variables:
-3x - 2y = 54
-6x + 2y = -18
-------------------- +
-9x = 36
x = -4
Since we have solved for 'x', we can simply plug this value into an equation to find 'y'.
-3(-4) -2y = 54
12 - 2y = 54
-2y = 42
y = -21.
Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know the prism's volume is 20 cubic units, and they know the cube has side lengths of 10 units. Jada says the total volume is 27,000 cubic units. Noah says it is 1,020 cubic units. Here is how each of them reasoned: Jada's method: Noah's method: 20 + 10^3 20 + 10^3 30^3 20 + 1000 27,00 1,020 Question: Do you agree either of them? Explain
Answers
Answer:
Only Noah is correct.
Step-by-step explanation:
Volume of the cube = 10^3 = 1000 units.
Total volume of the cube + the prism = 1000 + 2
= 1020 cubic units.
Answer:
Only Noah is correct.
Step-by-step explanation:
Volume of the cube = 10^3 = 1000 units.
Total volume of the cube + the prism = 1000 + 2
= 1020 cubic units.
Step-by-step explanation:
Circle M has the central angle LAMB with a measure of 63º. Which of the following statements does not represent the
circle M?
O AB is a minor arc
O mAB=63
The center of the circle is point M.
O AB is a major arc
Answers
Answer:
O AB is a major arc
Step-by-step explanation:
Circle M has the central angle LAMB with a measure of 63º
Which of the following statements does not represent the circle M?
----------------
O AB is a minor arc
yes, it is 63º, less than halfO mAB=63 º
yesO The center of the circle is point M.
yesO AB is a major arc
no, it is not more than halfWhich of the following is the function for the graph shown?
Answers
Answer: A. [tex]y = x^{2} + 6x + 8[/tex]
Step-by-step explanation:
You can plug in the know point of (-3, -1) to each equation to see which one fits. The correct one in this case is [tex]y = x^{2} + 6x + 8[/tex]
Find the square root of 529/729 .
Answers
Answer:
23/27
Step-by-step explanation:
The square root of 529 is 23
while the square root of 729 is 27
Answer:
23/27
Step-by-step explanation:
529=23^2
729=27^2
sqrt{529/729} =sqrt{[tex]23^{2}[/tex]/[tex]27^{2}[/tex]}
= 23/27
Jennifer bought 1 apple and 3 oranges for 5.10 and Linda bought 5 oranges and 1 apple for 7.50 what is the price of 1 apple and 1 orange
Answers
Answer:
$2.70
Step-by-step explanation
Jennifer and Linda both bought one apple, but they bought different numbers of oranges. Looking at the numbers, we see that Linda bought 2 more oranges than Jennifer (they bought the same number of apples, so disregard apples for now, we will look at them later).
Subtracting Jennifer's cost from Linda's cost, 7.50 - 5.10 = 2.40
So, we know that 2 oranges cost $2.40, so 1 orange will then cost $1.20.
Now we know the cost of 1 orange. So, we can find the price of an apple by finding the cost of 3 oranges. 3 x 1.20 = 3.60. So, Jennifer's 3 oranges cost 3.60, and subtract this cost from the total cost and we find that 1 apple costs $1.50.
Add the price of 1 apple and 1 orange. $1.50 + $1.20 = $2.70
What is the approximate area of the shaded sector in the circle shown below?
А. 4.68 in2
В. 17.3 in2
C. 34.6 in 2
D. 9.36 in2
Answers
Answer:
Area for sector = arc measure/360 degrees times pir^2
145 degrees/360 degrees times pi3.7^2 =
0.40277 times 13.69pi =
17.314in.^2 or B.