Answer:
13.5m
Step-by-step explanation:
The boy is 1.5m tall so you subtract that by 15m and you get 13.5m
If f(x) = 5x, what is rx)?
Answer:
18x
Step-by-step explanation:
If f(x) is 5x which can also be expressed 5(x)
Then r(x) is a number then x
f is the fifth digit in the alphabet
So fx is 5x
r is the 18 th letter so
18x
Need help on this!! Will give 20 points!!!
Answer:
80 mm
Step-by-step explanation:
1/p + 1/20 = 1/16
Subtract 1/20 from both sides
1/p = 1/16 - 1/20
Use 160 as common denominator
1/p = 10/160 - 8/160
1/p = 2/160
1/p = 1/80
Cross multiply
80 = p
80 mm
Find the area of the shape.
Answer:
Step-by-step explanation:
PLZ HELP ITD MEAN THE WORLD
dude its just 3 rooms. yes
Answer:
3 rooms
Step-by-step explanation:
For 1 1/4 rolls of electric wire = 1 room
For 3 3/4 rolls of electric wire = 3 3/4 ÷ 1 1/4
= 15/4 ÷ 5/4
= 15/4 x 4/5
= 15/5
= 3 rooms
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
Answer:
$425.6 should be budgeted for weekly repairs and maintenance.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean $400 and standard deviation $20.
This means that [tex]\mu = 400, \sigma = 20[/tex]
How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 400}{20}[/tex]
[tex]X - 400 = 20*1.28[/tex]
[tex]X = 425.6[/tex]
$425.6 should be budgeted for weekly repairs and maintenance.
If i= square root of -1, what is the value of i^3
Answer:
[tex] - i[/tex]
Step-by-step explanation:
Set up equation.
[tex]i {}^{3} = y[/tex]
[tex] {i}^{2 } \times i = y[/tex]
[tex] - 1 \times i = y[/tex]
[tex] - i = y[/tex]
Calculate the compound interest a saleswoman would have to pay if she borrows
$54 000 for 9 years at 12% per annum compound interest.
Given:
Principal = $54,000
Time = 9 years
Rate of compound interest = 12% per annum.
To find:
The compound interest.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded and t is the number of years.
The interest is compounded annually, so [tex]n=1[/tex].
Substituting [tex]P=54000,\ t=9,\ n=1,\ r=0.12[/tex] in the above formula, we get
[tex]A=54000\left(1+\dfrac{0.12}{1}\right)^{1(9)}[/tex]
[tex]A=54000\left(1.12\right)^{9}[/tex]
[tex]A=149746.252902[/tex]
[tex]A\approx 149746.25[/tex]
The amount after 9 years is $149746.25.
Now, the compound interest is:
[tex]C.I.=A-P[/tex]
Where, C.I. is compound interest, A is amount and P is principal.
[tex]C.I.=149746.25-54000[/tex]
[tex]C.I.=95746.25[/tex]
Therefore, the compound interest is $95746.25.
PLEASE ANSWER ASAP Mia randomally surveys students in her middle school to learn about their favorite type of novel. Of 40 respondents, 16 liked to read mystery novels. Based on Mia's data, how many of the 350 students in her middle school like to read mystery novels?
Answer:
140
Step-by-step explanation:
40 divided by 16 = 2.5 . 350 divided by 2.5=140 hope this helped
Hannah lost four points on a test and earned four points on an extra credit question what does the sum of 0 mean in the description of this situation?
Answer:
Is that it's not about the answers and the questions
John is buying new shoes. He finds the shoes he wants on sale for 30%, and the original price is $88. How much will he pay for the shoes?
Answer:
61.6 dollars
Step-by-step explanation:
So, lets go over what we know:
The shows orginally cost 88 dollars.
They are 30% less than that.
This basically means that the shoes will cost 70 percent of their orginal price.
We can basically find the new cost by multiplying the 88 dollars by the 70 percent.
Or, multiplying 88 by 0.7, which is the decimal form of 70%.
88*0.7=61.6
How did I get this?
Multiply 80 by 0.7:
7*8=56
We have 0.7 so it = 5.6
However, it's tens place is 80, not 8, so it will be = 56
It is the same thing in the ones place, however it is 8 not 80, so it will be 0.7*8
= 5.6
56+5.6=61.6
So 61.6 is our answer.
Hope this helps!
Answer:
$61.60
Step-by-step explanation:
the other answer is correct.
just to add some explanation about the % considerations.
we know $88 is 100%
in order to get any other % value, we need to divide the original value by 100 (that gives us 1%), and then multiply with the number of % we want to have - in our example 70, as the discount is 30% (so the remaining part is 70% of the original price).
so, in order to get 70% we actually have to do the above things and divide by 100 and multiply by 70.
70% = (100% / 100) × 70 = 100% × 70 / 100
70 / 100 = 0.7 (that is how answer 1 actually got that multiplication factor)
70% = 100% × 0.7
70% = $88 × 0.7 = $61.60
Which expression is equivalent
Answer:
[tex]\sqrt[6]{2\\}[/tex]
Step-by-step explanation:
Rewriting
2 ^1/2 ÷ 2 ^ 1/3
We know a^ b ÷ a^c = a^ (b-c)
2 ^ (1/2 -1/3)
Getting a common denominator
2^ ( 3/6 - 2/6)
2^ 1/6
[tex]\sqrt[6]{2\\}[/tex]
Answer:
[tex]\sqrt[6]{2}[/tex]
Step-by-step explanation:
We can start by writing the expression as one power of two, and then comparing it to the options. The square root of two is the same and [tex]2^{\frac{1}{2} }[/tex] and the cube root of two is the same as [tex]2^{\frac{1}{3} }[/tex]. Therefore, we can rewrite the expression:
[tex]\frac{2^{\frac{1}{2} }}{2^{\frac{1}{3} }}[/tex]
Now, to write them as one power of two, we can use the quotient rule which states, [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]:
[tex]2^{\frac{1}{2} -\frac{1}{3}}[/tex]
We just need to subtract 1/3 from 1/2 to get:
[tex]2^{\frac{1}{6} }[/tex]
This is the same as the 6th root of 2, which is the second option.
holaaandaaa cuanto es 22+22
Step-by-step explanation:
22+22=44
Es una pregunta fácil, incluso un niño pequeño puede responder a esto.
Please help I’ll give brainllist
Answer:
TRUE
Step-by-step explanation:
TRUEAnswer:
true i think
Step-by-step explanation:
I don’t understand this equation please help me
Answer:
Evaluated, you get 4x^4
Step-by-step explanation:
Differentiated, you get 16x^3
It all depends on what you're looking for, really
Use the explicit formula an = a + (n-1). d to find the 500th term of the
sequence below.
24, 31, 38, 45, 52, ...
Answer:
Step-by-step explanation:
The difference is a2 - a1 = 31 - 24 = 7
n = 500
a500 = a1 + (500 - 1) * 7
a500 = 24 + 499 * 7
a500 = 24 + 3493
a500 = 3517
Type the correct answer in each box.
5 6 7 8 9 10
TIME REMAINING
50:04
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
(x – 3)2 + (y – 5)2 = 6
(x – 3)2 + (y – 5)2 = 36
(x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36
Answer:
(x-a)(y-b)=r²
(x-(-3))(y-(-5))=r²
(x+3)2(y+5)2=36
What is the completely factored form of this polynomial?
x^4- 8x^2 + 16
A. (X+2)^2(x-2)^2
B. (x^2-4)^2
C. (x^2+4)(x+2)(x-2)
D. (x+2)(x-2)
Answer:
A. (x + 2)²(x - 2)²
Step-by-step explanation:
x⁴ - 8x² + 16 =
(x² - 4)(x² - 4) =
(x - 2)(x + 2)(x - 2)(x + 2) =
(x - 2)²(x + 2)²
if a×b=a^b what is the value of 2 ×3
Answer:
8
Hope this answer is right!!
Explanation:
Given, a×b=a^b=2 ×3
=2^3
=8
So, the value of 2 ×3 =8.
Find an equation in point-slope form for the line having the slope m =1/3 and containing the point (-3,- 6).
Use complete sentences to explain how the coordinate plane is a useful tool for geometric proofs.
Answer:
Step-by-step explanation:
The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument. ... The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .
Answer:
The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument . Coordinate geometry proofs employ the use of formulas such as Slope Formulas, the Midpoint Formula and the Distance Formula, as well as postulates, theorems and definition s. The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas . The facilitate verification is a proof of a geometric hypothesis which utilizes " summed up" indicates on the Cartesian Plane make a contention. The strategy for the most part includes doling out factors to the directions of at least one focuses, and afterward utilizing these factors in the midpoint or separation equations. For instance, the accompanying is an arrange evidence of the Triangle Midsegment Theorem, which expresses that the fragment interfacing the midpoints of two sides of a triangle is parallel to the third side and precisely a large portion of the length.
I have to solve the equation:
[tex] |4 \sqrt{2} - 6 | + |2 \sqrt{10} - 6| [/tex]
The first thing I tried is simply removing the modules, it seemed like the most logical solution and this is the answer I got, but it wasn't any of the options:
[tex]4 \sqrt{2} + 2 \sqrt{10} + 12[/tex]
The second thing I tried is putting both equations in one module and sum the first one with the second one in parentheses like this:
[tex] |4 \sqrt{2} - 6 + (2 \sqrt{10} - 6 | = \\ = |4 \sqrt{2} - 6 + 2 \sqrt{10} + 6 | = \\ = 4 \sqrt{2} + 2 \sqrt{10}[/tex]
But this wasn't in the answers either.
After I checked, the correct answer was:
[tex]2 \sqrt{10} - 4 \sqrt{2} [/tex]
So I was wondering where does the minus come from?
It is in a module and between the modules, there's a plus and even if that plus somehow turns into a minus when it goes inside the modules, which I'm not aware of, it would still turn into a plus because it is in a module ;-; Or I'm just st*pid, I don't know.
Think back to the definition of absolute value:
• If x ≥ 0, then |x| = x.
• If x < 0, then |x| = -x.
In other words, the absolute value always returns a positive number. So if x is positive, leave it alone; but if it's negative, then you have to negate it to get a positive number back.
This means that you cannot simply reduce |x - y | to x - y because you need to consider the possibility that x - y may be negative, in which case |x - y | would reduce to -(x - y) = y - x.
In this case,
|4√2 - 6| = -(4√2 - 6) = 6 - 4√2
because 4√2 < 6, which you can determine by comparing both of these numbers as square roots:
4√2 = √16 √2 = √32
6 = √36
and √32 < √36 because 32 < 36.
Similarly,
|2√10 - 6| = 2√10 - 6
because
2√10 = √4 √10 = √40
6 = √36
So ultimately,
|4√2 - 6| + |2√10 - 6| = (6 - 4√2) + (2√10 - 6) = 2√10 - 4√2
whats the inverse of f(x)=x-3/5
Answer:
inverse: f-(x)=x+3/5
Step-by-step explanation:
Set f(x)=x and x=y
x=y-3/5
isolate y by adding 3/5 to both sides
x+3/5=y
this is the inverse :)
George earned $3,200 for one month of work. He paid $640 in income tax for the month. What percent tax did he pay? (Ignore the percent sign when gridding your answer.
Answer:
He paid $640 out of his total $3,200 for the month.
As a fraction it is (640/3200) which equals (1/5)
We want it as a percentage so we multiply the fraction by 100.
1/5×100=20%
20% is the final answer.
Please help it's fricking urgent
Answer:
Kaden had $17 at first
Step-by-step explanation:
Ben = x
Kaden = x - 10
x + 4
x - 10 + 4 = x -6
x - 6 = [tex]\frac{7}{9}[/tex] x
9(x - 6) = 7x
9x - 54 = 7x
2x = 54
x = 27
x - 10 = 27 - 10 = 17
Answer:
Kaden had $31
Ben had $41
Step-by-step explanation:
k = b - 10
k + 4 = (7/9)(b+ 4)
Substitute for k = b - 10
(b - 10) + 4 = (7/9)(b+ 4)
b - 6 = (7/9)(b+ 4)
multiply by 9 to clear the fraction
9b - 54 = 7(b + 4)
Distribute
9b - 54 = 7b + 28
subtract 7b from both sides
2b - 54 = 28
Add 54 to both sides
2b = 82
Divide both sides by 2
b = 41
k = b - 10
k = 31
Help and explain pls and thankyouuuuuu
Answer:
shhsksbsvsvdbdhsbs. c
9514 1404 393
Answer:
(d) -3
Step-by-step explanation:
Put the number into the expression and do the arithmetic.
f(g(-2)) = f(-2-3) = f(-5) = 2(-5) +7 = -10 +7
f(g(-2)) = -3
does this graph show a function pic out of the multiple choice to explain how
Answer:
B
Step-by-step explanation:
The vertical line test means that if there can't be two y values on the same x point. For example, if you put a vertical line through the red line, it would hit two points, meaning that it isn't a function.
PLS HELP ASAP!! THX
For questions 6-9 refer to the box plots (Assume their positions are on the same number line). Write your responses in complete sentences using content specific vocabulary.
Answer:
Did you find them ?
Step-by-step explanation:
NEED HELP; A group of friends goes out to dinner. The total bill, without tax, is $63. If tax on the meal is 6% and if an 18% tip is left on the $63 total bill, what is the total amount paid?
A. $78.12
B. $78.80
C. $66.78
D. $74.34
Select the correct answer.
Which number is an irrational number?
A. √100
B. 1/8
C. -2.2675
D. ^3√16
The none of no irrational number in the given option.
What is an irrational number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
In another word, irrational numbers are those numbers that can not terminate.
For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.
Among the given option
A) √100 = 10 which is integer.
B) 1/8 were 1 and 8 both integer.
C) -2.2675 here also it is an integer.
D) [tex]0^{12}[/tex] which is 0 so it is also a rational number.
Hence none of the irrational numbers. It might be possible that there is a typing mistake in the question or in option D there is something else.
For more about the irrational number
https://brainly.com/question/4031928
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