Answer:
Step-by-step explanation:
for a lot of math classes they just tell you "don't take the square root of a negative number" Then when you see this [tex]\sqrt{-5}[/tex] it looks all wrong. But, just think of the two things under the radical as
[tex]\sqrt{-1*5}[/tex]
now, take the -1 out of the square root as " i "
i[tex]\sqrt{5}[/tex]
and if you want to put it into correct complex form
0 + i[tex]\sqrt{5}[/tex]
Rectangle F'G'H'I' is a translation of rectangle FGHI. Write the translation rule.
G = B. What is the length of CD?
CD = ___
Answer:
10
Step-by-step explanation:
Since G = B (and 284 + 76 = 360), then FE = CD
Suppose Bank One offers a certificate of deposit that pays $5,000 in four years for exchange for $4,000 today. What interest rate is Bank One offering?"
Answer:
Bank One is offering a simple interest rate of 6.25% per annum.
Step-by-step explanation:
Given that Bank One offers a certificate of deposit that pays $ 5,000 in four years for exchange for $ 4,000 today, to determine what interest rate is Bank One offering the following calculation must be performed:
(5000 - 4000) / 4 = X
1000/4 = X
250 = X
4000 = 100
250 = X
250 x 100/4000 = X
25000/4000 = X
6.25 = X
Therefore, Bank One is offering a simple interest rate of 6.25% per annum.
please help me..........
Answer: 9, it is the average of all the middle of all the numbers
Step-by-step explanation:
find the exact value of tan A in simplest radical form
Answer:
tan A = 20/21
Step-by-step explanation:
tan Θ = opp/adj
tan A = 20/21
Which is the correct simplification of the inequality below? 2(w + 4) > 3w - 7
Answer:
w < 15
Step-by-step explanation:
2(w+4) > 3w - 7
2w + 8 > 3x - 7
3w-2w = w
w - 7 < 8
w < 15
Find the solution(s) to the system of equations. Select all that apply.
y=x-4
y = 2x- 5
Answer:
Y
Step-by-step explanation:
Solve the following expression when
b = 12
10 + b + b
Answer:
34
Step-by-step explanation:
Plug in 12 in place of b
10+b+b
10+12+12
34
Can someone please help me without using a link?
Answer:
The answer is Prism T (C)
Step-by-step explanation:
R = 24
S = 25
T = 30
U = 28
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
c) Prism T has the greatest volume
Step-by-step explanation:
R: 3x8 =24
S: 5x5=25
T: 6x5=30
U:7x4=28
Which pair of inequalities is equivalent to 0
Choose the correct answer below.
Answer: D is correct
Step-by-step explanation:
Answer:
C. x > 0 and x ≤ 3
Step-by-step explanation:
0 < x ≤ 3
when 0 < x then x > 0
Example: 0 < 2 then 2> 0
Therefor
x > 0 and x ≤ 3
What is 75.4 in expanded form
Answer: 75.4 =
70
+ 5
+ 0.4
Step-by-step explanation:
Hope this helps :)
Please help *THIS IS ON PERSONAL FINANCIAL LITERACY "
Answer:
I think the answer is $56,600
Step-by-step explanation:
I'm pretty sure you're just going to add $63,000+$8,400+$2,900+$1,1000. Then when you get a total of $75,400 and then I think you are going to subtract $15,400 from $75,400, you should get $60,000 then subtract $3,400 and you get $56,600.
3х2+9х+6
Foil method of
Answer:
3(4+3x)
Step-by-step explanation:
See Image below.
Suppose that the number of minutes that you need to wait for a bus is uniformly distributed on the interval [0, 15]. If you take the bus seven times, what is the probability that your longest wait is less than 12 minutes
Answer:
0.2097 = 20.97% probability that your longest wait is less than 12 minutes
Step-by-step explanation:
To solve this question, we need to understand the uniform and the binomial distribution.
Uniform distribution:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a single bus having a waiting time of less than 12 times:
Uniformly distributed on the interval [0, 15] means that [tex]a = 0, b = 15[/tex]
[tex]P(X < 12) = \frac{12 - 0}{15 - 0} = 0.8[/tex]
What is the probability that your longest wait is less than 12 minutes?
This is the probability that all 7 buses have waiting time less than 12 minutes, which is [tex]P(X = 7)[/tex] when [tex]n = 7[/tex], with [tex]p = 0.8[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{7,7}.(0.8)^{7}.(0.2)^{0} = 0.2097[/tex]
0.2097 = 20.97% probability that your longest wait is less than 12 minutes
HELP ASAPP!!
Distribute:
3(-2x + 9)
Answer:
-6x+27
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
-6x+27
Step-by-step explanation:
3(-2x + 9)
-6x+27
write 20 words with meaning
Answer:
20 words with meaning
Step-by-step explanation:
10x-3y+2y
Write the expression with fewer terms.
Answer:
10x-1y
hope this helps
have a good day :)
Step-by-step explanation:
Helpppppppppppppppp meeeeeeeeeeee plssssssssssssssssss
Answer:
A: NO
B: YES
C: NO
D: NO
Step-by-step explanation:
two-thirds of the quantity 63 less than y
Answer:
y - 2/3 * 63 or y - 42
Step-by-step explanation:
two-thirds of the quantity 63: 2/3 * 63
two-thirds of the quantity 63 less than y: y - 2/3 * 63 = y - 42
solve this answer
2/3 + 4/6
Step 1
Now we need to make our denominators match.
6 goes into 3 evenly, so we only need to multiply one term to get a common denominator.
Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.
We now have a new problem, that looks like this: 4/6+4/6
Step 2
Since our denominators match, we can add the numerators.
4 + 4 = 8
That gives us the sum, which is 8/6
Step 3
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
8/6÷ 2 = 4/3
Let's try dividing by that again...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
No good. 5 is larger than 4. So we're done reducing.
There you have it! Here's the final answer to 2/3 + 4/6
A book which was bought for Rs.100 was sold at Ra.90 what will be the loss percent?
Answer:
10% or 1%
Step-by-step explanation:
i swear u better not remove this
Plz help I will give brainliest to the best answer! Plz plz help btw only question 2
Answer:
The area would be 87.5
Step-by-step explanation:
i’m so confused.. a little help?
Answer:
Triangle has a greater perimeter.
Step-by-step explanation:
Triangle perimeter = 21cm
Add the sides.
Square perimeter = 16cm
Add the sides (since it's a square the sides are the same.)
HELP im behinds on math and need help with this
Answer:
261.7 mm³
Step-by-step explanation:
the volume= ⅓×3.14×5²×10
= ⅓× 785
= 261.7 mm³
HI can someone do these 5 problems? it will really help me out I'll give out brainliest to the person who answers them. (No links)
Answer:
$73.60
$345
simple interest = amount deposited x time x interest rate
600 + (600 x 0.055 x 5) = $765
600 + (600 x 0.055 x 5) > $2000
$765 $2000
He would not have $2000 in 5 years
Step-by-step explanation:
Total cost of items purchased = $75 + (2 x $8.50) = 92
If there is a 20% discount, he would pay (100 - 20%) 80% of the total cost =
0.8 x $92 = $73.60
commission earned = percentage commission x amount of sales
10% x $3450
= 0.1 x 3450 = 345
Amount he would have in his account = amount deposited + simple interest
simple interest = amount deposited x time x interest rate
600 x 0.055 x 5 = $165
Amount in his account in 5 years = $165 + 600 = $765
He would have less than $2000 in his account. he would have $765
Select two equations of lines that are perpendicular to the line whose equation is x + 5y = 50. I need help please.
Answer:
[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
In this question:
The equation of the line is:
[tex]x + 5y = 50[/tex]
Placing in the standard format:
[tex]5y = -x + 50[/tex]
[tex]y = -\frac{x}{5} + 10[/tex]
The slope is [tex]-\frac{1}{5}[/tex]
Slope of the perpendicular lines:
[tex]-\frac{m}{5} = -1[/tex]
[tex]m = 5[/tex]
So
[tex]y = 5x + b[/tex]
Attributing two values to b:
[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.
Mr. Davis drives 508 miles in eight hours. At this rate, how many miles
does he drive in six hours?
Answer:
he drives 254 miles in 6 hours
Step-by-step explanation:
Answer:
254 miles in 6 hours
Step-by-step explanation:
decide which of the two given prices is the better deal and explain why. you can buy shampoo in a 5-ounce bottle for $3.49 or in a 14-ounce bottle for $10.29
Answer:
The 5-ounce bottle for $3.49 is the best deal.
Step-by-step explanation:
The demon drop at cedar point in Ohio takes riders to the top of a tower and drops them 60 feet. A function that approximates this ride is h = 16^2 + 64x - 60, where h is the height in feet t
Completion of question:
The Demon Drop at Cedar point in Ohio takes riders to the top of the tower and drops them 60 feet. A function that approximates this ride is h=-16^t2 + 64t + 60 where h is the height in feet and t is the time in seconds. About how many seconds does it take for riders to drop to the ground?
Answer:
4.78 s
Step-by-step explanation:
Given the equation :
h = - 16^t2 + 64t + 60
Using the quadratic formula ; where
a = - 16 ; b = 64 ; c = 60
Dropping to the ground, h = 0
16^t2 + 64t - 60 = 0
-b ± (√b²- 4ac) / 2a
-64 ± (√64²- 4(-16)(60)) / 2(-16)
-64 ± (√7936) / - 32
(-64 ± 89.08) / - 32
(-64 + 89.08) / - 32 = - 0.783 OR
(-64 - 89.08) / - 32 = 4.78
Reject the negative
t = 0.783 seconds
Hundred Metal Spheres with a radius of 4cm each are melted. The melted solution is filled into a cube with a base area of 16cm x 10cm. Find the height of the cube filled with solution.
Answer:
Height = 167.47 cm
Step-by-step explanation:
volume of one sphere = 4/3πr³ = 4/3(3.14)(4³) = 267.9467 cm³
267.9467 cm³ x 100 spheres = 26794.67 cm³
volume of cube = L x W x H
26794.67 = 16 x 10 x H
H = 167.47 cm