Answers
Answer:
x = 15
Step-by-step explanation:
Related Questions
p and q are complex numbers such that ∣p∣ = 2/5 x + 2 , ∣q∣ = −3/4 x − 1 , and ∣p+q∣ = 2x + 4 .
On what interval must x fall?
a) [−4/3, −60/47]
b) [-2, −4/3]
c) [−2, [infinity])
d) (−[infinity], −4/3)
Please Help!!
Answers
Answer: (b)
Step-by-step explanation:
Given
[tex]\left | p\right |=\dfrac{2}{5}x+2[/tex]
[tex]\left | q\right |=\dfrac{-3}{4}x-1[/tex]
[tex]\left | p+q\right |=2x+4[/tex]
for two complex number, [tex]z_1,z_2[/tex]
[tex]\left | z_1+z_2\right |\leq \left | z_1\right |+\left | z_2\right |[/tex]
Apply the above the property
[tex]\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}[/tex]
Also, the absolute value of each complex number must be greater than or equal to zero
[tex]\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2[/tex]
Taking the intersection of the above values of x, we get
[tex]x\in [-2,-\dfrac{4}{3}][/tex]
A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a
wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on
the space on which the wheel stops. Let X represent the value of a spin. The distribution of X is given in the table.
a.1 b.1.5 c.2 d.2.1
Answers
Answer:
The median of the distribution is (first option);
1
Step-by-step explanation:
The values on the given table are presented as follows;
[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1
The median value of the distribution of X is 1
How to determine the median?The cumulative probability of the distribution is:
[tex]\sum E(x) = 1[/tex]
The median position is calculated as:
[tex]Median = \frac{\sum E(x)}{2}[/tex]
This gives
[tex]Median = \frac{1}{2}[/tex]
Median = 0.5 th
This mean that the median is at the 0.5th position
The value of the spin at the 0.5th position is 1
Hence, the median value of the distribution of X is 1
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Tobin finds satellite images of a factory and an athletic stadium. She puts the images on a coordinate grid (shown
below).
(khan academy)
Answers
Answer:
The area of the factory is about 3000 m more than the area of the stadium
Step-by-step explanation:
The area of the factory can be said to be 3000m² more than the area of the stadium.
How to solve for the area of the factoryThe area of the factory is given as S1
S1 = √80² + 200² * √40² + 100²
= √6400+40000 * √1600 * 10000
=√46400 * √11600
= 23200m²
How to solve for the area of the stadiumS2 = 80² * 3.14
= 20096
The difference in areas = S1 - S2
= 3000m²
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Please help me, i am in need of a smart person to help with my homework
Answers
Answer: The Answer is A
Step-by-step explanation:
what is the value of x in 40,000 = 10x g?
Answers
Answer:
x=4000
Step-by-step explanation:
Answer:
4,000 = x
Step-by-step explanation:
40,000 = 10x
=> Divide 10 to each side of "="
40,000/10 = x
4,000 = x
Hope this helps!
What is the midpoint of AB when A (-2, 5) and B (4, -5)?
Answers
Answer:
Answer attached
Step-by-step explanation:
Midpoint of AB = (1,0)
Let's check
midpoint of AB
(-2+4/2,5-5/2)(2/2,0/2)(1,0)What is the BALANCE POINT for this set of data? Type the NUMBER ONLY. :)
Answers
Answer:
The answer is "36".
Step-by-step explanation:
Please find the complete question in the attached file.
2w^2 - 15w + 19 = 0
Quadratic Formula
Answers
Answer:
x=5.886 , x=1.614
Step-by-step explanation:
Given data
2w^2 - 15w + 19 = 0
a= 2
b= -15
c= 19
The expression for the Quadratic Formula is
x=(-b±√(b²-4ac))/(2a)
substitute
x=(-(-15)±√((-15)²-4*2*19))/(2*2)
x=(15±√225-152))/(4)
x=(15±√73))/(4)
x=(15±8.544))/(4)
x=(15+8.544))/(4) , x=(15-8.544))/(4)
x=23.544/4 , x=6.456/4
x=5.886 , x=1.614
help me plsssss i rlly need helppppp i'll give brainliestttt
Answers
So the answer is $118
please help. Will give BRAINLIEST!!!!!
Answers
Answer:
√13
Step-by-step explanation:
if you try Pythagorean's theorem for each one, you should get that √13 doesn't work.
Answer:
13
Step-by-step explanation:
which of the following are solutions to the equation below
Answers
Answer:
B & F
Step-by-step explanation:
(±√14 - 4)/3 =>
(√14 - 4)/3 or (-√14-4)/3
) Which object's liquid volume is best measured in milliliters? Bathtub, Milk carton, big spoon or small fish tank
Answers
Answer:
big spoon
Step-by-step explanation:
The Big spoon liquid volume is best measured in milliliters.
Given that;
The objects are,
''Bathtub, Milk carton, big spoon or small fish tank''.
We have to find the best objects liquid volume to measured in milliliters.
How to find the appropriate unit for measurement?
Normally we use those measurements which are whole numbers mostly and if not, then not too much long after decimal and not much big numbers.
The volume of Bathtub, Milk carton, and small fish tank is more than the volume of big spoon.
And, The volume of liquid in Bathtub, Milk carton, and small fish tank is has usually measured in liters because it contain more liquid in comparison Big spoon.
Volume of liquid in a big spoon is measured suitably if we use milliliter. It is because the big spoon contains liquid with volume few milliliters or few hundred milliliters.
Hence, We use milliliters for measuring liquid in big spoon.
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Ahh I forgot how to do this HELP ASAP PLZZ
Answers
Answer:
The answer is C!
Step-by-step explanation:
A farmer grows a new variety of pumpkin, hoping to have
larger pumpkins to sell. To see how large the new variety
grows, she collects some statistical data.
1. The farmer plants the seeds in late May.
2. In October, she harvests the pumpkins.
3. After harvesting, she weighs each pumpkin on a scale
and records its weight
4. The farmer places the pumpkins on tables based on
their size.
Which step describes how the data were measured?
Answers
Answer:
C
Step-by-step explanation:
Answer:
is C
Step-by-step explanation:
A pex i took the test
give brainlist if feeling nice
14 In a book, 98% of the pages contain text, diagrams on both. If 88% of the pages
contain text and 32% contain diagrams, what percentage contain
a.neither text nor diagrams
b. only diagrams
c.only text
d.both text and diagrams?
Answers
Answer:
2%
10%
66%
22%
Step-by-step explanation:
For the first one we just need to find the compliment of the union (.98) which is .02
Union formula:
A∪B=A+B-A∩B
We will let T= text and D= diagram
we know that
.98=.88+.32-T∩D
Solve and find that T∩D= .22
Only diagram: .32-.22= .1
Only text: .88-.22= .66
Text and diagrams is the intersection we found earlier or .22
please help this on is hard
Answers
Answer:
pic monga ulit ang labo kasi wh
Lorenzo has a package that weighs 2 pounds. He wants to check The weight of the package on a scale, but he only has weights that are measured in ounces. Drag the weight into the box that will balance the scale. Each weight can be used once or not at all.
Answers
Answer:
32 ounces
Step-by-step explanation:
1 pound = 16 ounces
2 pounds = 16 x 2 = 32 ounces
What's the gradient of y=3x+1
Answers
Answer:
3
Step-by-step explanation:
y = 3x + 1
This is in slope-y-intercept form: y = mx + c
Gradient = m = 3
PLEASE HELP
How will the perimeter of the rectangle change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.
Answers
Answer:
p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original. More
Answer:
The perimeter will be 10 times the original.
Step-by-step explanation:
1. 2(x+3)
2. 5(2x-4)
3. 4(2x-4)
4. 6(x-4y)
what are the answers for these
Answers
Answer:
1.) 2x + 6
2.) 10x - 20
3.) 8x - 16
4.) 6x - 24y
Hope this helps!
I believe that you would need to distribute the numbers outside of the parentheses (2,5,4,6) into the parentheses.
2(x+3)=
2x+6
5(2x-4)=
10x-20
4(2x-4)=
8x-16
6(x-4y)=
6x-24y
Please answer, no links please.
Answers
Answer:
what you need help with? there is no picture or question
Step-by-step explanation:
Answer:
Solution given:
area of semi circle h=½πr²=½×π×5²=39.27in²
area of rectangle EFHI=l×b=6×3=18in²
area of rectangle CDFG=l×b=17×2=34in²
Total area: 39.27+18+34=91.27 square inches
Find the vertex of the parabola whose equation is y=-2x^2+8x-5. (2,27), (2,19), (2,3)
Answers
Answer:
Vertex of the parabola is (2,3)
Step-by-step explanation:
The parabola is a negative, it opens down and the maximum place it can reach is 3 (y).
Two tugboats that are 118 ft apart pull a barge, as shown. If the length of one cable is 206 and the length of
the other is 227, find the angle formed by the two cables.
Answers
Answer:
26.903
Step-by-step explanation:
a = 77 m
b = 72 m
c = Distance between the tugboats = 35 m
A company claims they produce their mixed bag of candies so that, of the candies in the bag, 20 percent are dark chocolate, 60 percent are milk chocolate, and 20 percent are white chocolate. In a random sample of candies of size 50, the counts are as follows: 6 dark, 32 milk, and 12 white. Assuming the conditions for inference are met, what is the test statistic for a chi-square goodness-of-fit test to investigate whether the distribution of the sample is consistent with the company’s claim?
Answers
Answer: D: x^2=(6-10)^2/10 + (32-30)^2/30 + (12-10)^2/10
Step-by-step explanation: The formula for the chi-squared test is summation: (observed-expected)^2/expected. The observed value in this case would be the counts we received from the random sample (6 dark, 32 milk, 12 white). The expected value can be calculated by taking the percentages given in the problem and multiplying them by 50 (0.20x50=10 dark , 0.60x50=30 milk , 0.20x50=10 white).
Which equation matches the graph shown ?
A. Y=8x^2 +2x -5
B. Y= 8x^2 +2x +5
C. Y=2x^2 + 8x +5
D. Y=2x^2 + 8x -5
Answers
Answer:
D
Step-by-step explanation:
Simply put 0 in the equations and see if it's true then put -2 instead of x and see if it matches. this is the easiest way.
given sec0=29/21 and sin0>0 find csc0
Answers
csc theta = 29/30
Step-by-step explanation:
sec theta = hypotenuse/adjacent = 29/21
where hypotenuse = 29 and adjacent = 21
We can use these values and Pythagorean theorem to find the value of the opposite side:
(opposite)^2 = (hypotenuse)^2 - (adjacent)^2
= (29)^2 - (21)^2
= 400
or
opposite = 20
Therefore,
csc theta = hypotenuse/opposite = 29/20
How do I solve this problem?
Answers
========================================================
Explanation:
The notation [tex]a_1[/tex] refers to the first term. So the first term is 21.
The d = -3 is the common difference. It's the value we add onto any given term to get the next following term.
We can say:
second term = (first term) + (common difference)
second term = [tex]a_1 + d[/tex]
second term = 21 + (-3)
second term = 18
Through similar steps, you should find that the third term is 15, the fourth is 12, and so on. Each time we decrease by 3.
The arithmetic sequence would be: 21, 18, 15, 12, 9, ...
The first three terms are 21, 18, and 15.
BC=
Round your answer to the nearest hundredth
Answers
HELPPPOOPOPPPP!!!! PLEASE
Answers
The answer is....................................................
can you help me with this please