Answer:
4 dollars per book
Step-by-step explanation:
If a, b are real numbers and 7a + i(3a - b) = 14 - 6i , then find the values of a and b.
If a, b are real numbers and 7a + i(3a - b) = 14 - 6i, then find the values of a and b. Therefore, the value of a = 2 and the value of b = 12. 3.
The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.
The equation is given below.
7a + (3a - b)i = 14 - 6i
Compare the real part of the equation, then we have
7a = 14
a = 14 / 7
a = 2
Compare the imaginary part of the equation, then we have
3a - b = - 6
3 x 2 - b = -6
6 - b = - 6
b = 6 + 6
b = 12
The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.
More about the complex number link is given below.
https://brainly.com/question/10251853
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A 100-inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
A triangle has two sides of length 5 and 11. What is the smallest possible whole-number
length for the third side?
The smallest possible whole number length for the third side is 7
Data obtained from the question1st length = 52nd length = 113rd length =?How to determine the smallest possible length of the 3rd sideCase 1
1st + 2nd > 3rd
5 + 11 > 3rd
16 > 3rd
3rd length < 16
Case 2
1st + 3rd > 2nd
5 + 3rd > 11
3rd > 11 - 5
3rd > 6
Thus, we have
6 < 3rd length < 16
Since the 3rd length is greater than 6, then the smallest possible length for the 3rd side is 7
Learn more about sides of triangles:
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How do I graph these parabolas
Evaluate x=2
F(x)=2x+4
HELP PLEASE!!
40 POINTS FOR BOTH QUESTIONS
please please
Answer:
1. Angle Bisector Theorem
(2x-1)/3x=9/15
15(2x-1)=9(3x)
30x-15=27x
3x=15
x=5
2. Triangles are similar so the ratio that relates them is 6/36=1/6 meaning the side length is 42x1/6=7 cm.
In the most recent NBA Finals series, Lebron James took 175 shots and made 80.
In his last NBA Finals series, Michael Jordan took 190 shots and made 85. Who had a better percentage?
Answer:
Michael Jordan
Step-by-step explanation:
190-85 =105
175-80=95
Answer:
Michael Jordan
Step-by-step explanation:
At a little-known vacation spot, taxi fares are a bargain. A 16-mile taxi ride takes 24 minutes and costs $9.60. You want to find the cost of a 42-minute taxi ride. What unit price do you need?
Answer:
$32.90
Step-by-step explanation:
You would need $32.90 to get travel by the taxi.
Which of the following is a true statement concerning the use of a placebo?
A.
B.
C.
D.
Answer:
its B
Step-by-step explanation:
If Big Bun won 5 out of 25 matches, what percent did he win?
Answer:
5/25*100=
1/5*100=100+5=20
Figure LMNO maps to L'M'N'O' by a 125° rotation about point T.
Quadrilateral L M N O is rotated 125 degrees about point T to form quadrilateral L prime M prime N prime O prime.
Which congruency statement is correct?
LMNO ≅ L'M'N'O'
LMNO ≅ O'M'N'L'
ONML ≅ M'O'N'L'
ONML ≅ O'M'N'L'
Answer:
A= LMNO ≅ L'M'N'O'
Step-by-step explanation:
just did it trust me
A= LMNO ≅ L'M'N'O'. Hope this helps!!
Consider a collection of envelopes consisting of 3 red , 3 blue , 1 green , and 2yellow . If three envelopes are selected at random, without replacement, determine the probability that at least one envelope is a red envelope.
Answer:
The probability is 31/35
Step-by-step explanation:
At the local sandwich shop, employees earn double time for any hours worked in addition to their regular 39-hour
week. Last week, Cooper Jones worked his regular 39 hours plus 9 hours of overtime. Cooper is paid $23.90 per
hour. What is his total pay for the week?
Answer:
8,030.4
Step-by-step explanation:
Answer:
$287.04
Step-by-step explanation:
add 39 and 9 multiply the sum by $23.90 and then multiply by two and boom, $287.04
Examine the system of equations.
y = negative one-fourth x minus 2
x = 4
What is the solution to the system?
(–3, –2)
(4, –3)
(4, –2)
(4, –1)
The answer is 4,-3
Irfcdxsaacd d
Answer:
4,-3
Step-by-step explanation:
Find the x-intercept of the following equation. Simplify your answer.
x + 10y = 8
Suppose that the halflife of a substance is 250 years . If there were ir 100 the substance , (a) give an exponential model for the situation, and (b) how much wil years?
can anyone answer this please:(
6.8x+9.3= -9.4+3.4(2-5x)
Answer: the answer to this is x=0.5
Step-by-step explanation:
In order to solve this you have to combine the multiplied terms into a single fraction so its going to look like this - 34x/5 + 9.3= -9.4+3.4(2-5x)
The reposition your terms and put together your multiplied terms into a fraction,Once you have that done distribute them
Subtract 9.3 on both sides.you may simplify and then multiply all the terms with the same value to get rid of the denominators from the fractions
also add 85x to both sides then finally divide both side by the same term which get you -59.5/119 and then simplify and you get -0.5
so x= -0.5
Answer:
x=-0.5
Step-by-step explanation:
step 1
6.8x+9.3=-9.4+3.4(2-5x)
6.8x+9.3=-9.4+(3.4)(2)+(3.4)(-5x) distribute
6.8x+9.3=-9.4+6.8+-17x
6.8x+9.3=(-17x)+(-9.4+6.8) combine like terms
6.8x+9.3=-17x+-2.6
6.8x+9.3=-17x-2.6
step 2
add 17x to both sides.
6.8x+9.3+17x=-17x2.6+17x
23.8x+9.3=-2.6
step 3
subtract 9.3 from both sides.
23.8x+9.3-9.3=-2.6-9.3
23.8x=-119
step 4
divide both sides by 23.8
23.8x/23.8= -11.9/23.8
The answer is =-0.5
What is 350,000 as a whole number and a power of ten
Answer:
350,000 add ten more zeros
Step-by-step explanation:
350,000¹⁰ 350,000 000,0000
7. In Ryan's city, it rained 2/5 of the days in September. More than 2 cm of rain fell 1/4 of those days. What fraction of the days in September had rainfall of more than 2 cm?
Answer:
1/10 of the days in September had rainfall more than 2 cm
Step-by-step explanation:
Use the information given:
2/5 of the days in September had rain1/4 of the days in September that had rain, had more then 2cm of rain1/4 of 2/5 is 2/20=1/10HELP PLEASE!! NUMBER ONE OR TWO PLEASE!
JUST SHOW ME HOW TO DO IT! THANK YOU BUNCHES!xoxo
Answer:
Step-by-step explanation:
1. 6, ?, ?, ?,102
a0 =6
a1=?
a2=?
a3=?
a4=102
an= a0+n*d
a4= 6+ 4*d=102 so 4d= 102-6=96, so d=96/4=24
d=24
a1 = 6+24=30
a2 =30+24=54
a3 =54+24=78
an orchard sells 6lb of apples for $13.50 there is a proportional relationship between the cost and number of apples.
Answer:
Yes, there is a proportional relationship. For every 6 pounds of apple sold, they make $13.50.
PLEASE PLEASE HELP!!!!
Answer:
It's A or B but I think B
Step-by-step explanation:
What is the percent of increase from 900,000 to 1,000,000?
Round your answer to the nearest tenth of a percent and include a percent sign (%),
Answer:
1000000/900000= 10/9= 1.1111111111*100=11.11%
HELP ASAP
Find the 15th term or the geometric sequence 7, -21, 63,
33480783
Step-by-step explanation:Finding the Common Ratio:
We know that the formula for the common ratio of a GP is:
r = aₙ / (aₙ₋₁) (Where n is any integer)
replacing the values, taking n=2
r = -21 / 7
r = -3
Solving for the 15th Term:
We know that the Formula for the nth term of a GP:
G(n) = a * r ⁿ⁻¹ (where a is the first term and r is the common ratio)
replacing the values (taking n = 15 since we need the 15th term)
G(15) = 7 * (-3)¹⁴
G(15) = 33480783
Hence, the 15th term of the given GP is 33480783
Gabby accumulated $12,000 in credit card debt. If the interest rate is 4% per year and she does not make any payments for 8 years, how much will she owe on this debt in 8 years by compounding continuously?
Answer:
$16,525.53.
Step-by-step explanation:
A=Pe^rt
P=$12,000
r=0.04
t=8 years
Reading a text message takes your eyes off the road for about 4.6 seconds according
to a recent study. If you are traveling 60 mph and check a text message while you
are driving, how far do you travel (in feet) with your eyes not on the road? Round
your answer to the nearest foot.
Answer:
d = 404.8 feet
Step-by-step explanation:
We take our eyes off the road for about 4.6 seconds according to a recent study.
Speed, v = 60 mph
We need to find the distance travel by you with your eyes not on the road. Let it is d.
Speed, v = d/t
d = vt
We know that, 1 mile = 5280 feet
[tex]d=\dfrac{60\times 5280\ \text{feet}}{3600\ s}\times 4.6\ s\\\\=404.8\ \text{feet}[/tex]
Hence, the required distance is 404.8 feet.
Can someone pls help me right quick hurry pls
Answer:
b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
4 in hundreds (400)
3 in ones (3)
2 in tenths (.2)
9 in hundredths (.09)
math picture help me
Answer:
D
Step-by-step explanation:
Chris paid $9.18 for a necklace. This amount includes a sales tax of 8%. What was the cost of the necklace before tax?
Answer:
8.5 or 8.50
Step-by-step explanation:
None for now
"Not putting it here"
The cost of the necklace before tax, for which Chris paid $9.18 including the sales tax of 8% is $8.5.
What is percentage increase ?Percentage increase is the amount added to the initial value in the percentage part.
Chris paid $9.18 for a necklace. This amount includes a sales tax of 8%.
Let the cost of the necklace before tax is x dollars. Now, the 108% of the x is $9.18. Thus,
[tex]x\times\dfrac{100+8}{100}=9.18\\x=\dfrac{9.18\times100}{108}\\x=8.5[/tex]
Hence, the cost of the necklace before tax, for which Chris paid $9.18 including the sales tax of 8% is $8.5.
Learn more about the percentage increase here;
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40 is 60% of what number? **ROUND TO THE NEAREST TENTH** *
Answer:
66.7
Step-by-step explanation:
hope this helps
Answer:
40 is 60% of 66.7
Step-by-step explanation:
By using the bowtie method, you can check as 40 multiplied by 100 equals 4,000. Then divide 4,000 by 60 to get 66.66666. Since you round to the nearest tenth, it'll be 66.7
hope this helps! =)