X^3 + 4x^2 - 11x - 30 = (x+2) (x-3) (x+5)=0
Answer:
STEP 1
Equation at the end of step 1
(((x3) - 22x2) - 11x) + 30
STEP 2
Checking for a perfect cube
2.1 x3-4x2-11x+30 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-4x2-11x+30
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -11x+30
Group 2: x3-4x2
Pull out from each group separately :
Group 1: (-11x+30) • (1) = (11x-30) • (-1)
Group 2: (x-4) • (x2)
Which answer includes the intrevals that contain the solution to the inequality x^2-1/3x+9<0
Answer:
x<±1 and x< -3
Step-by-step explanation:
Given the inequality x^2-1/3x+9<0, we are to find the values of x that satisfies the inequality
x^2-1/3x+9<0
x^2-1/3x+9 (3x+9)²<0* (3x+9)²
(x^2-1)(3x+9) < 0
x²-1 < 0 and 3x + 9 <0
x²-1 < 0
x²<1
x<±√1
x<±1
Also 3x + 9 <0
3x < -9
x < -9/3
x < -3
Hence the required values of x are x<±1 and x< -3
I WILL GIVE BRAINLY IF RIGHT Malia drew the hexagon below what is the measure of each angle of the hexagon
A. 60 degrees
B. 90 degrees
C. 120 degrees
D. 144 degrees
Answer:
120 Degrees
Step-by-step explanation:
A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.
Does the system have no solution?
Answer:
[tex]\mathrm{A)\:}-6[/tex]
Step-by-step explanation:
Notice that in the second equation, the coefficient of [tex]y[/tex] is [tex]2[/tex] times greater than in the first. Therefore, by making the coefficient of [tex]x[/tex] in the second equation [tex]2[/tex] times greater than in the first, it's impossible to only isolate one variable.
Therefore, when [tex]a=-3\cdot 2=\fbox{-6}[/tex], there are no solutions to this system.
HELP ME ILL MARK YOU BRAINLIEST .....
EXPLAIN YOUR ANSWER PLEASE AND HOW YOU GOT IT..THE STEPS
Answer:
1. m<rsv is 42 degrees
2.
Step-by-step explanation:
1.
2. Since abc is 95, the two angles you have to solve are going to equal 95 when added because they make up the angle ABC so solving it would be like
(2x+23)+(9x-5)=95 you then solve this which would be
2x+23+9x-5 = 95 - Combine like terms
11x+18=95 Subtract 18 both sides
11x=77 divide by 11
x=7
After this you just put 7 in the equations instead of X and solve it
making angles
pls answer the question with explanation
Answer:
a) 96m
b) 2 m/s^2
Step-by-step explanation:
The distance travelled in a velocity time graph as shown in the image is the area of the shape. As such, considering the first 14 seconds, the distance covered will be computed by finding the area of the shape.
Note that the shape to be considered ends t the 14 seconds mark. This shape is a trapezium. The area of a trapezium is given as
A = 1/2(a + b) h
where a and b are the parallel sides of the trapezium and h is the height As such, the distance covered in the first 14 seconds
= 1/2 (14 + 10) * 8
= 4 * 24
= 96m
The acceleration after 4 seconds
Acceleration is the rate of change of velocity with time, at time 0 second, the velocity is also 0 but at time 4 seconds, the velocity is 8 m/s hence, the acceleration after 4 seconds
= 8/4
= 2 m/s^2
Convert 0.6 to a fraction to a percent and show a example how
Answer:
6/10 | 60%
Step-by-step explanation:
0.6 is the same as 6/10 because it is six-tenths.
6/10 is the percentage 60% because you can multiply the top and bottom by ten to get 100 on the bottom.
Please someone help me if your good at math I’m struggling here:/I’ll mark brainliest
A.$4/1 lb
B.$8/2 lb
C.1 lb/$4
D.$1/4 lb
Answer:the until prince is 4/1
Step-by-step explanation:
The graph is proportional since it’s a straight line through origin and the rate is 4/1 on the bottom
Sorry if I’m wrong
can someone smart help? ill give brainliest
Step-by-step explanation:
2400/100=24
24×10.5=252
252×5= 1260
Combine like terms to simplify the expression: {\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k} 5 2 k− 5 3 + 10 1 kstart fraction, 2, divided by, 5, end fraction, k, minus, start fraction, 3, divided by, 5, end fraction, plus, start fraction, 1, divided by, 10, end fraction, k
Given:
The expression is
[tex]{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}[/tex]
To find:
The simplified form of given expression.
Solution:
We have,
[tex]{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}[/tex]
On combining like terms, we get
[tex]=\left(\dfrac{2}{5}k+\dfrac{1}{10}k\right)-\dfrac{3}{5}[/tex]
Taking LCM in the parenthesis, we get
[tex]=\left(\dfrac{4k+k}{10}\right)-\dfrac{3}{5}[/tex]
[tex]=\left(\dfrac{5k}{10}\right)-\dfrac{3}{5}[/tex]
[tex]=\dfrac{k}{2}-\dfrac{3}{5}[/tex]
Therefore, the simplified form of the given expression is [tex]\dfrac{k}{2}-\dfrac{3}{5}[/tex].
Answer:
k/2-3/5
Step-by-step explanation: Khan
12. Why is the Yellow River also known as "China's Sorrow?"
A. There have been many devastating floods on its banks.
B. Many ancient Chinese were killed by the Mongols there.
C. Many ancient Chinese were killed in a major battle there.
1. D. Many people drowned in the river.
Answer:
A
Step-by-step explanation:
;)
Joel ordered a set of beads. He received 40 40 beads, and 60 % 60% of them were blue and 40 % 40% of them are green. How many blue beads did Joel receive?
Answer:
24 blue beads
Step-by-step explanation:
The number of blue beads is calculated as:
Percentage of blue beads × Total number of beads
Total number of beads = 40 beads
Hence:
= 60% × Total number of beads
= 60% × 40
= 60/100 × 40
= 24 blue beads
Joel received 24 blue beads.
Let the Universal Set , S, have 132 elements . A and B are subsets of S. Set A contains 63 elements and Set B contains 35 elements . If the total number of elements in either A or B is 89 , how many elements are in A but not in B?
Answer:
8 elements
Step-by-step explanation:
From the question given above, the following data were obtained:
Universal set (S) = 132
Set A = 63
Set B = 35
n(AuB)ᶜ = 89
n(A but not in B) =?
Next, we shall determine the number of elements common to both set A and Set B. This can be obtained as follow:
Let the number common to both set A and B be x i.e
(AnB) = x
nA = 63
nB = 35
n(AuB)ᶜ = 89
Universal set (S) = 132
S = nA + nB + n(AuB)ᶜ – (AnB)
132 = 63 + 35 + 89 – x
132 = 187 – x
Collect like terms
132 – 187 = – x
– 55 = – x
Divide both side by –1
x = –55 /–1
x = 55
Thus, the number of elements common to set A and B is 55.
Finally, we shall determine the number of elements in A but not in B as follow:
nA = 63
n(AnB) = 55
n(A but not in B) =?
n(A but not in B) = nA – n(AnB)
n(A but not in B) = 63 – 55
n(A but not in B) = 8
Thus, 8 elements are in set A but not in set B.
What is 1 3/8 as an improper fraction ?
Answer: 11/8
Step-by-step explanation:
1. Multiply the whole number by the denominator: 8•1=8
2. Add the numerator to the sum of the whole number and denominator: 8+3=11
3. Put the original denominator as the denominator, again: 11/8
hope this helps a bit lol
16 cm
20 cm
15 cm
20 cm
find the volume of the prism
Answer:
267.
Step-by-step explanation:
HURRY PLEASE ANSWER!
Answer:
[tex]\mathbf{\beta=140\ dB}[/tex]
Step-by-step explanation:
The Logarithm Function
The sound level is usually calculated as a logarithm by the formula:
[tex]\displaystyle \beta=10\log\frac{I}{I_o}[/tex]
Where
I = Sound intensity in W/square meter
Io = Smallest sound intensity that can be heard.
[tex]I_o=1\cdot 10^{-12}\ W/m^2[/tex]
The blue whale can emit a sound of I=106.8 W/square meter, thus the sound level is:
[tex]\displaystyle \beta=10\log\frac{106.8}{1\cdot 10^{-12}}[/tex]
[tex]\displaystyle \beta=10*14[/tex]
[tex]\mathbf{\beta=140\ dB}[/tex]
Need help FAST!!!! I need to find the value of x and y with work
Step-by-step explanation:
Step One: We need to find a way to equate either the x terms of the y terms in each equation. ...
Step Two: Take equation b) from equation a) to eliminate the x component. ...
Step Three: substitute the value of y into either equation to find the value of x.
Step-by-step explanation:
I think x equals 125. The reason is because a triangle is 180 and if you take 180 out of a 55 you will get a 125. The y will equal 55.
What is the least common multiple (LCM) of 5 and 12?
Answer:
60
Step-by-step explanation:
Hope this helps
Answer:
60
Step-by-step explanation:
The number of calories burned y after x minutes of kayaking is represented by the linear function y=4.5x. The graph shows the calories burned by hiking.
Answer:
22.5 more calories are burned
Hiking:
y=255
kayak
y=202.5
Toshеlle wants to take strength training classes at the
community center. She has to pay a one-time enrollment fee of $25 to join the
community center, and then $45 for each class she wants to take. Write an
equation in slope-intercept form for the cost of taking x classes.
Answer:
I would say y=45x+25
I’m doing the same workbook page
(If this is wrong I’m sorry)
Hope this helps
Have a great day/night
Two students that are on the same longitudinal line are approximately 5400 miles apart. The used an inclinometer, a little geometry, and a tangent line to determine the that and . The two students form a central angle of 85.9º with the center of the earth. Given this information determine how far each student is away from the moon.
Answer:
MB= 239627
MA= 239327
Radius= 3963
Step-by-step explanation:
Triangle RST, with vertices R(-7,-8), S(-3,-7), and T(-6,-2), is drawn on the coordinate grid below. What is the area, in square units, of triangle RST?
Answer:
12
Step-by-step explanation:
Area of triangle formula is b*a (1/2)=A
b is height for non-right triangles
6*4(1/2)=A
24(1/2)=A
12=A
Nine randomly selected customers at a local fast-food restaurant ordered meals having the following calorie counts: 975,520, 1560
.872, 1029,534,362,954, and 1019. Let y denote the calorie content of a meal ordered at this restaurant. Find the following sum.
Answer: 7825 calories
Step-by-step explanation:
Feom the question, we are told that the meals have the following calories content meals having the following calorie counts: 975,520, 1560
.872, 1029,534,362,954, and 1019.
The sum of the calories will be:
= 975 + 520 +1560 + 872 + 1029 + 534 + 362 + 954 + 1019.
= 7825 calories
The octal numeral system is a base 8 positional system that uses the symbols 0,1,2,3,4,5,6,7. Write each base 8 number as a base 10 number. 12 and 117
Step-by-step explanation:
(12) in base 8
= (1 * 8¹ + 2 * 8⁰) in base 10
= (8 + 2) in base 10
= 10 in base 10.
(117) in base 8
= (1 * 8² + 1 * 8¹ + 7 * 8⁰) in base 10
= (64 + 8 + 7) in base 10
= 79 in base 10.
Using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.
What is octal numeral system?Octal numeral system has "a base of 8 and uses the number from 0 to 7".
According to the question,
a) (12)₈
= (1 * 8¹ + 2 * 8⁰)₁₀
= (8 + 2)₁₀
= 10₁₀.
b) (117)₈
= (1 * 8² + 1 * 8¹ + 7 * 8⁰)₁₀
= (64 + 8 + 7)₁₀
= (79)₁₀
Hence, using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.
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In is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is five and a half percent of the selling price. The salesperson will earn $27.23 by selling a couch for $495 to Lin and her dad.
Answer:
A. $27.23
B. $467.77
Step-by-step explanation:
Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?
B.How much money will the store get from the sale of the couch?
Salesperson commission = 5 1/2%
Price of couch = $495
A. Amount earned by the salesperson = 5 1/2% of $495
= 5.5% × 495
= 0.055 × 495
= 27.225
Approximately
Amount earned by the salesperson = $27.23
B.How much money will the store get from the sale of the couch?
Amount the store get = Total price - amount earned by salesperson
= $495 - $27.23
= $467.77
Describe the outlier boundaries for the data set.
34, 38, 41, 40, 36, 36, 38, 40
Any value less than
or greater than
is an outlier.
The outlier boundaries for the given data set is: any value that is less than 30 or greater than 46.
What is an Outlier?An outlier in a data can be defined as any value that is less than Q1 - 1.5 × IQR or greater than Q3 + 1.5 × IQR.
Given the data, 34, 38, 41, 40, 36, 36, 38, 40, we have:
Q1 = 36
Q3 = 40
IQR = Q3 - Q1 = 40 - 36 = 4
Q1 - 1.5 × IQR = 36 - 1.5 × 4 = 30
Q3 + 1.5 × IQR = 40 + 1.5 × 4 = 46
Therefore, the outlier would be: any value that is less than 30 or greater than 46.
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What is the GCF of 6 and 36
Answer:
It's 6.
Step-by-step explanation:
6- 1, 2, 3, 6
36- 1, 2, 3, 4, 6
The greatest common factor of 6 and 36 is 6
Given data ,
Let the first number be represented as p
where the value of p = 6
Let the second number be represented as q
where the value of q = 36
To find the greatest common factor (GCF) of 6 and 36, we need to determine the largest positive integer that can divide both numbers evenly.
To begin, we can list the factors of each number:
Factors of 6 : 1 , 2 , 3 , 6
Factors of 36 : 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36
From the lists, we can see that both 6 and 36 share a common factor of 6. The GCF of 6 and 36 is therefore 6, as it is the largest number that can evenly divide both 6 and 36.
Hence , the greatest common factor is 6
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Explain if the combination of iron and copper sulfate is an example of a chemical reaction
Answer:
Yes it is.
Step-by-step explanation:
When we mix Fe(iron) to CuSO⁴ (Copper sulphate), Iron removes copper from CuSO⁴ and makes FeSO⁴. This happens because iron is more reactive than copper. We cannot remove iron from this solution now until any stronger element is added.
Answer:
(a) Chemical reaction of iron nail with copper sulphate solution in water.Iron displaces copper ions from an aqueous solution of copper sulphate.It is a single displacement reaction of one metal by another metal.Iron is placed above copper in the activity series.
If Aaron leaves 20% tip on a $36.55 bill, how much of a tip would they leave for the waiter?
The answer is 201.17
The extra data costs are $20.99 monthly but they're offering 20% off that. What will my monthly cost be with the 20% off?
Answer:
Discounted price= $16.792
Step-by-step explanation:
Giving the following information:
The extra data costs are $20.99 monthly, but they're offering 20% off that.
To calculate the discounted price, we need to use the following formula:
Discounted price= normal price*(1 - discount rate)
Discounted price= 20.99*0.8
Discounted price= $16.792