Answer:
-2 radical 5 the second one
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)
can someone pls help!!!!
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.
Learn more about outlier on:
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Can you guys please help me fill this up plz
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:
;)
7. Find the circumference of a circle whose diameter is 3.2 meters. Round to the nearest tenth.
A. 32.2 m
B. 8.0 m
C. 10.0 m
D. 5.0 m
Answer:
C. 10.0 m
Step-by-step explanation:
[tex]C=2\pi r[/tex]
radius is half of diameter
[tex]r = \frac{d}{2} \\r=\frac{3.2}{2} \\[/tex]
[tex]C= 2 (3.14) \frac{3.2}{2}[/tex]
[tex]C= (3.14)3.2\\C=10[/tex]
A salesperson makes a 35% commission and makes a sale for $425. Determine the commission the salesperson will make.
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
Sara earned money selling pies and cakes. For the cakes, she made a profit of $200 with an expense of $4 per cake. For the pies, she made a profit of $250 with an expense of $5 per pie. She sold the same number of cakes and pies. How many pies did Sara sell if she earned the same total profit for pies and cakes? Write an equation and then solve for x.
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.
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:
Ouglas made 122 dollars by washing cars to buy holiday presents. He decided to spend m dollars on a present for his mom and then use the remainder to buy presents for each of his 5 sisters. He will spend the same amount on each sister. Which expression represents how much he can spend on each sister?
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
can someone smart help? ill give brainliest
Step-by-step explanation:
2400/100=24
24×10.5=252
252×5= 1260
what is the unit rate of $52.5 7h
Answer:
= 7.5 USD per hour
Step-by-step explanation:
This is a fraction equal to
52.5 USD ÷ 7 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 7
[tex]\frac{52.5}{7}[/tex]= 7.5 USD per hour
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.
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.
Evaluate the expression when g=7 and h= 5 8h + g
Answer: 47
Step-by-step explanation:
we simply substitute g for 7 and h for 5.
8(5) + 7
40 + 7
47
.y = x-7
y = -4x + 3
what’s their intercepting points
Answer:
2,-5
Step-by-step explanation:
g(t) = 2t - 2
h(t) = 2t - 5
Find g(t) + h(t)
Answer:
[tex]g(t) + h(t) \\ (2t -2 ) + (2t - 5) \\ (4t - 7)[/tex]
(4t-7) is the right answer.
Step-by-step explanation:
g(t) = 2t - 2
h(t) = 2t - 5
g(t) + h(t)
(2t - 2) + (2t - 5)
2t - 2 + 2t - 5
(4t - 7) ✓✓✓✓
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
you take two steps every hour how long would it take to walk 20 miles
Answer:
21120 hours long
Step-by-step explanation:
42240=20 miles
42240/2=21120h
Answer:
200 hours (yes, very long)
Step-by-step explanation:
You take about 2,000 steps a mile. So, you have to multiply 2,000 by 20 which is 40,000. Then, you have to divide 40,000 by 20. Lastly, you will end up with 200 hours as your answer.
Hope this helps :)
x2 - 2x + 4 = 0
How many solutions
Answer:
Step-by-step explanation:
x^2-(2+2)x+4=0
or, x^2-2x-2x+4=0
or, x(x-2)-2(x-2)=0
or, (x-2)(x-2)=0
Now,
Either, x-2=0
=2
Or, x-2=0
=2
Need help on this please
Answer:
A
Step-by-step explanation:
16 cm
20 cm
15 cm
20 cm
find the volume of the prism
Answer:
267.
Step-by-step explanation:
Sara earns $80.50 for 7 hours of pet sitting. She earns the same amount per hour each time she pet sits. How many hours does Sara need to pet sit to earn $138
Answer:
12
Step-by-step explanation:
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
PLEASE I REALLY NEED HELP DONT SAY RANDOM STUFF
Answer:
c.180
Step-by-step explanation:
45 times 4= 180
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.