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Related Questions
Bill drove from Washington DC to Charlotte in 6.5 hours. What was his average speed in miles per hour?
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The formula for speed is distance divided by time. We can easily do that with this equation:
404.9 / 6.5 = 62.2923077, or about 63 miles per hour.
The greater of 2 consecutive even integers is 18 less than 3 times the smaller integer. What is the greater integer?
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3x-18 =x+2
2x-18 =2
2x = 20
x = 20/2 = 10
larger number is 12
simplify the expression (5-5i)-(-6-3i)
How do I solve this? Either teach me how, or help me with a few other simmilar ones.
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Answer: Simplifying the expression of the substraction of the two complex numbers we get 11-2i
Solution:
(5-5i)-(-6-3i)
Eliminating the parentheses: 5-5i+6+3i
Grouping similar terms: (5+6)+(-5+3)i
Adding the similar terms: 11+(-2)i = 11-2i
Answer:
The simplify form of given expression is 11-2i.
Step-by-step explanation:
The given expression is
[tex](5-5i)-(-6-3i)[/tex]
Using distributive property, we get
[tex]5-5i-(-6)-(-3i)[/tex]
[tex]5-5i+6+3i[/tex]
Combined real and imaginary parts.
[tex](5+6)+(-5i+3i)[/tex]
[tex]11+(-2i)[/tex]
[tex]11-2i[/tex]
Therefore the simplify form of given expression is 11-2i.
What is the property of 2x32x5=2x5x32=
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Mary buys a dress and a pair of shoes. Before adding the tax she pays $ 48 for the dress which normally sells for $ 62, and she pays $ 34 for the shoes which normally sell for $46.
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a. To find out how much Mary saved, we will have to subtract the sale price from the original price, and then add up the difference to find how much she saved. 62 - 48 is 14. 46 - 34 is 12. 14 + 12 = 26. Mary saved $26 by buying at the sale item price.
b. To find the amount of discount, we can write and solve a proportion, by setting it up like this: change/original = x/100. Change is the distance between two numbers and the original is the previous price. If you know about proportions, you cross multiply the values, and then divide each side by a number to isolate "x". If you solve each proportion correctly, here are your answers for each item:
Dress: ≈ 23% discount
Shoes: ≈ 26% discount
c. Okay. So when we add up the sales prices together, 48 + 34 is 82. In order to find the total amount with tax, we multiply the sale price, by (1 + r). In other words, add 1 to the rate in decimal form and multiply it by the total of the sales price. 82 * 106.5% (1.065) is 87.33. Mary paid a total of $87.33.
what is 7/12 plus 1/4
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Find common denominators.
12x1=12
4x3=12
Multiple 4 by 3 in the second fraction to make a common denominator. What you do to the denominator you do to the numerator, so 1x3=3 and 4x3=12
7/12+3/12=10/12
To put into lowest terms divide the numerator and denominator by 2, since they share a factor.
The answer is 5/6
Answer:
5/6
Step-by-step explanation:
the answer above is correct
If there are a number of different sounds being produced simultaneously, the resulting intensity is the sum of the individual intensities. How many decibels louder is the sound of quintuplets crying than the sound of one baby crying?
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Δ L = level difference.
n = number of equal loud sound sources.
n = 5
10 × log10 5 = +6.9897 dB compared to the case that only one source is available.
The sound of quintuplets crying is 7 dB louder than the sound of one baby crying because a factor of five in intensity corresponds to a 7 dB increase in sound intensity level.
Explanation:The question asks how many decibels louder the sound of quintuplets crying would be compared to the sound of one baby crying. To calculate this, we need to understand that intercity levels in decibels (dB) are measured logarithmically. This means that for every ten-fold increase in intensity, the sound level goes up by 10 dB. We also know that a factor of five in intensity corresponds to an increase of 7 dB.
If one baby crying produces a certain sound intensity, then five babies (quintuplets) crying simultaneously would increase the intensity by a factor of five. Hence, the sound of quintuplets crying would be 7 dB louder than the sound of one baby crying, based on the given references.
what is the equation of the line shown in this graph.
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Suppose △ITH≅△APG.
Which congruency statement is true?
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answer
B. IH = AG
It is given that the triangles ITH and APG are congruent.
When the two triangles are congruent, then the corresponding angles and sides are congruent to each other.
By being congruent, the corresponding angles which are congruent are:
[tex]IT \cong AP, TH \cong PG, IH \cong AG[/tex]
Therefore, [tex]IH \cong AG[/tex]
SO, Option 2 is the correct answer.
4sin theta + 3 square root of 3 = square root of 3
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4sinθ + 3√3 = √3
First subtract 3√3 from both sides:
4sinθ = -2√3
Now, divide by 4:
sinθ = (-2√3)/4
sinθ = -√3/2
Using the unit circle we know that sin of -√3/2 is 240° or 4/3π and 300° or 5/3π
Hope this helps!
simplify.
-5 ( x - 3) + 2 ( a - 9)
-5x + 2a + 33
-5x + 2a + 4
-5x + 2a - 33
-5x + 2a - 4
Answers
Answer:
Step-by-step explanation:
-5(x+3) + 2(a-3
-5*x =-5x
-5*3= -15
2*a=2a
2*9=18
-15+18=3
so the answer is -5x+2a-3
Find the nth term in the following sequence:
10, 19, 34, 55
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Answer:
The nth term of sequence is [tex]3n^{2}+7[/tex]
Step-by-step explanation:
We need to find out the general recurrence relation of sequence:
[tex]10, 19, 34, 55[/tex]
if we see pattern of sequence that every square of each number 'n' is multiple of 3 and addition of 7
check this pattern by [tex]3n^{2}+7[/tex]
For n=1
[tex]3n^{2}+7[/tex]
[tex]3(1)^{2}+7[/tex]
[tex]3+7[/tex]
[tex]10[/tex]
For n=2
[tex]3n^{2}+7[/tex]
[tex]3(2)^{2}+7[/tex]
[tex]3\times 4+7[/tex]
[tex]12+7[/tex]
[tex]19[/tex]
For n=3
[tex]3n^{2}+7[/tex]
[tex]3(3)^{2}+7[/tex]
[tex]3\times 9+7[/tex]
[tex]27+7[/tex]
[tex]34[/tex]
And so on..
Therefore, the nth term of sequence is [tex]3n^{2}+7[/tex]
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How many solutions can be found for the linear equation? 6( 3x/2 + 4) - 10 = 1/2 (4x + 16)
A) no solutions
B) one solution
C) two solutions
D) infinitely many solutions
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Answer:
its b one solution
Step-by-step explanation:
How can i do this? I don't quite understand "give an example of when it might be appropriate to estimate an answer rather than provide the exact answer" Thanks for your help
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How many terms are there in the expression 2x - 5y + 3 + x?
3
4
5
6
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hope this helps
Only 5,6,7,8 please help
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6.)0. 87.213114 etc. (estimate it)
7.) 27. 714285 ( repeating)
8.) 70.60869 (estimate it)
what is 3/4 of 1/3 of a mile ???
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If a and b are any two real numbers, explain how you calculate the difference a - b. Be sure to include the following in your explanation.
(A) a description of the relationship between addition and subtraction
(B) how you can use a number line to help with the calculation
(C) how you can determine the sign of the result
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- The number line allows us to interpret subtraction (or addition of a negative) geometrically; we can view it as a movement to the left on the number line with a distance equal to the number being subtracted.
- Lastly, the value of any expression a - b (where a and b are real numbers) is determined by the relative sizes of the numbers. If a > b, then a - b > 0 (a positive result). If b > a, then a - b < 0 (a negative result.
Gordon read 18 pages of a book in 40 minutes. What was the unit rate per minute? Per hour?
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Please help me now ! Thank you
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2x^2+18 = 10
2x^2+18-18 = 10-18 <<--- step 1
2x^2 = -8
(2x^2)/2 = -8/2 <<--- step 2
x^2 = -4
At this point, it should be fairly clear there are no solutions. How can we tell? By remembering that x^2 is never negative as long as x is real.
Using the rule that negative times negative is a positive value, it is impossible to square a real numbered value and get a negative result.
For example
2^2 = 2*2 = 4
8^2 = 8*8 = 64
(-10)^2 = (-10)*(-10) = 100
(-14)^2 = (-14)*(-14) = 196
No matter what value we pick, the result is positive. The only exception is that 0^2 = 0 is neither positive nor negative.
So x^2 = -4 has no real solutions. Taking the square root of both sides leads to
x^2 = -4
sqrt(x^2) = sqrt(-4)
|x| = sqrt(4)*sqrt(-1)
|x| = 2*i
x = 2i or x = -2i
which are complex non-real values
identify the terms and like terms in the expression - x - 9x*2 + 12x*2 + 7
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-x, -9x^2, 12x^2, 7
Like terms are:
-9x^2, 12x^2
The terms in the expression - x - 9x*2 + 12x*2 + 7 are -x, -9x*2, +12x*2, and +7. The like terms in the expression are -9x*2 and +12x*2. The terms -x and +7 are not like terms.
Explanation:In the expression - x - 9x*2 + 12x*2 + 7, the terms are:
-x-9x*2+12x*2+7The like terms are the terms that have the same variable and exponent. In this expression, the like terms are -9x*2 and +12x*2, since they both have the variable x raised to the power 2. So, the like terms are -9x*2 and +12x*2.
The terms -x and +7 do not have the same variable or exponent, so they are not like terms.
Learn more about terms and like terms here:https://brainly.com/question/29169167
#SPJ2
According to the general equation for conditional probability, if P(A^B)=3/4 and P(B)=4/5, what is P(A B)?
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0.96
Explanation:A rule of conditional probability states that
P(A∣B)=P(A∩B)P(B)
So in this case it would be:
P(A∣B)=4556=4⋅65⋅5=2425=0.96
The human body is 70% water on average. About how much water will be in a person that weighs 140 pounds?
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I hope this was helpful, and if you need any more help, please let me know so I can further assist you.
Reese spent $4.95 on cookie supplies. He sold 24 cookies at $2 each. His profit is how much more he got from selling the cookies than he spent. What was his profit?
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To solve this problem, we should first find out how much Reese made from selling cookies. To do this, we have to multiply the cost of one cookie ($2) by the number of cookies he sold (24). This is modeled below:
24 * $2 = $48
To find Reese's total profit, we must subtract how much he spent on the supplies ($4.95) from his earnings ($48). This is modeled below:
$48 - $4.95 = $43.05
Therefore, Reese's profit is $43.05.
Hope this helps!
A class has 24 students. The teacher asks how many students in the class have pets and finds 5/8of the students have pets. Write a multiplication problem. How many students have pets?
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1.Write Paulo's time in standard notation
2.Miguel ran a marathon in 4 h and 16 min.Who ran the race in the shorter amount of time.Show your work.
HELP DONT ANSWERED IT JUST TO GET POINTS I NEED HELP THIS NEEDS TO BE TURNED IN @6
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You have to convert 1.56x10^4 into a normal number so that is : 15600
Then you convert 15600 into hours and seconds:
15600/60=260
260/60=4.3recurring
4 hours and 3recurring seconds
So that means Miguel ran the race in a shorter amount of time.
whats 3/4+1/4÷4/5+1/2
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Can someone please help me with this math problem?? Number 13
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b. 0.5 x 0.5 = 0.25 in
c. 0.25 + 0.25 + 0.25 = 0.75 in
1/2x1/2=1/4 in.²
1-1/4=3/4 in²
The ratio of Aspens to Ponderosa Pines in a part of a forest is 12 to 16. If there are 12 Ponderosa Pines, how many Aspens are there?