First let's calculate the exponents.
[tex]27^2 : 729 = 9-1\div \:2\div \:729\div \:3[/tex]
Now we should multiply and divide.
[tex]1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}[/tex]
Now we should add and subtract.
[tex]9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}[/tex]
Convert the improper fractions into mixed numbers.
[tex]8\frac{4373}{4374}[/tex]
Answer :
[tex]8\frac{4373}{4374}[/tex]
Find the distance between (5.8) and (-2,3)
Answer:
distance between the points is 8.602325267 units
Step-by-step explanation:
(5 , 8)=(x1 , y1)
(-2 , 3)=(x2 , y2)
use formula:[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
=[tex]\sqrt{(-2-5)^2 + (3-8)^2}[/tex]
=[tex]\sqrt{(-7)^2 + (-5)^2}[/tex]
=[tex]\sqrt{49 + 25}[/tex]
=[tex]\sqrt{74[/tex]
=8.602325267 units
What are the numbers between the lower quartile and the upper quartile called in a box-and-whisker plot?
Open ended quistion
Answer:
lower quartile would be Q1 and the upper quartile would be Q3
Which number could represent point Z
A class of girls to boys is 5:3. If there are 9 boys, how many girls are in this class
Answer:
15 girls
Step-by-step explanation:
Girls : Boys
5 3
To get to 9 boys multiply by 3
Girls : Boys
5*3 3*3
15 9
There are 15 girls
What number is not a factor of 24
what is the answer pleaseee
Answer:
7
Step-by-step explanation:
In most cases the first step is to create an equation to solve for the missing variable
But in this case we are already given the equation
(7.25h + 5 = 6.5h + 10.25)
All we have to do is solve for h
7.25h + 5 = 6.5h + 10.25
Step 1 subtract 5 from both sides
7.25h = 6.5h + 5.25
Step 2 subtract 6.5h from both sides
0.75h = 5.25
Step 3 divide both sides by .75
h = 7
So at 7 hours the cost will be the same for both instructors
If Andrea traveled 300 miles in 5 hours at what rate was she driving?
Answer:
60
Step-by-step explanation:
[tex]\frac{300}{5}[/tex]
60
Hence, 60 is the answer
Answer:
60 mph
Step-by-step explanation:
For this problem, we are looking at the rate, miles per hour. We know that Andrea traveled 300 miles in 5 hours, but how many miles did she travel in one hour? Let's do the math:
[tex]300[/tex]÷[tex]5=60[/tex] miles.
So, in one hours, Andrea travels 60 miles. We get the rate, 60mph.
Andrea was driving at 60 mph.
I hope this helps! Please let me know if you have any questions :)
A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do NOT have spots on their back? *
Factor the following expression: $55z^{17}+121z^{34}$.
Answer:
2r5r
jr = 986 which is 459=100 equals wrong
The factorization of the given expression [tex]55z^{17}+121z^{34}[/tex] is [tex]11z^{17}(5+11z^{17})[/tex].
What is the factorization of an expression?"Factorization is a method of finding factors for any polynomial or any algebraic expression."
The given expression is
[tex]55z^{17}+121z^{34}[/tex]
By factorizing it, we get:
[tex]55z^{17}+121z^{34}\\= 11z^{17}(5+11z^{17})[/tex]
Learn more about factorization of an expression here: https://brainly.com/question/11994062
#SPJ2
can someone help me find the function please
Carlos walk to school on the 14th of 20 days in February which value is equivalent to the fraction of school days in February that Carlos walk to school
Answer:
[tex]\dfrac{7}{10}[/tex]
Step-by-step explanation:
Given that,
Carlos walk to school on the 14th of 20 days in February.
We need to find the equivalent to the fraction of school days in February that Carlos walk to school.
Required percentage is given by :
[tex]\%=\dfrac{14}{20}\times 100\\\\=14\times 5\\\\=70\%[/tex]
or
[tex]=\dfrac{7}{10}[/tex]
So, the required fraction is equal to [tex]\dfrac{7}{10}[/tex].
If charlie bikes at an average speed of 7miles per hour how many hours will take to ride 28 miles
Answer:
It will take him 4 hours.
Step-by-step explanation:
7x4= 28 miles
factorise:
k² - 2k - 8
with explaining the steps
Answer:
( k-4)(k+2)
Step-by-step explanation:
k² - 2k - 8
What 2 numbers multiply to -8 and add tp -2
-4*2 = -8
-4+2 = -2
( k-4)(k+2)
Refer to the attachment for steb-by-step explanation.
If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by
Answer:
The family of possible values for [tex]p[/tex] are:
[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]
Step-by-step explanation:
By Linear Algebra, we can calculate the angle by definition of dot product:
[tex]\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}[/tex] (1)
Where:
[tex]\theta[/tex] - Angle between vectors, in sexagesimal degrees.
[tex]\|\vec a\|, \|\vec b \|[/tex] - Norms of vectors [tex]\vec {a}[/tex] and [tex]\vec{b}[/tex]
If [tex]\theta[/tex] is acute, then the cosine function is bounded between 0 a 1 and if we know that [tex]\vec {a} = (p, 3, -7)[/tex] and [tex]\vec {b} = (p, -p, 4)[/tex], then the possible values for [tex]p[/tex] are:
Minimum ([tex]\cos \theta = 0[/tex])
[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0[/tex]
Maximum ([tex]\cos \theta = 1[/tex])
[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1[/tex]
With the help of a graphing tool we get the family of possible values for [tex]p[/tex] are:
[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]
The dot product between the two vectors is the product of the magnitude between them times cosine angle.
The possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].
To find the value of [tex]p[/tex] we need to perform the dot product of two equation.
How do you multiply vector in dot product?The dot product between the two vectors is the product of the magnitude between them times cosine angle
Given information-
The vector equation given in the problem is,
[tex]a = p\hat i +3\hat j - 7\hat k[/tex]
[tex]b = p\hat i - p\hat j +4\hat k[/tex]
For acute angle, the dot product of [tex]a,b[/tex] less than equal to zero.
Thus,
[tex]a .b<0[/tex]
Put the values,
[tex](p\hat i +3\hat j - 7\hat k)(p\hat i - p\hat j +4\hat k)<0[/tex]
In the dot product the multiplication of different unit vector is zero. Thus,
[tex]p^2-3p-28<0[/tex]
Factorize above equation using the split the middle term method as,
[tex]p^2-7p+4p-28<0\\(p-7)(p+4)<0[/tex]
As the factor of the above equation is 7 and -4.
Thus the possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].
Learn more about the dot product here;
https://brainly.com/question/9956772
URGENT PLEASE HELP ANSWER ASAP FOR BRAINLIEST !!!!!!!!!!
1/2
Hope this helps! :)
______________
Answer:
1/2
Step-by-step explanation:
you use rise/run so its (0,1) and (2,2) you move to the right 2 points and rise 1 so its 1/2 so its 0.50
What is the value of u?
Answer:
you on the games
Step-by-step explanation:
Answer:
I think its 58
Step-by-step explanation:
Solve for X.
please help
Answer:
x = 10
Step-by-step explanation:
We can use ratios to solve
Side over bottom
5 5+3
---- = --------
x 16
Using cross products
5 * 16 = (5+3)*x
80 = 8x
Divide by 8
10 = x
x = 10. This is a dilation. To find x, you must first find what you are dilating and by how much. 8 is the starting value, and 5 is the newer value. 5 divided by 8 is .625. Then multiply.625 by 16, to get 10, or x
An automobile retailer calculates that its loss on the sale of Type M cars is given by L(50) = 8,000 and L'(50) = −500, where L(x) represents the loss on the sale of x Type M cars. What do these values tell you about losses?
Answer:
The loss on the sale of 50 type M cars is $8000, and the loss is decreasing at the rate of $500 per 50 type M car sold.
Step-by-step explanation:
Given
[tex]L(50) = 8000[/tex]
[tex]L'(50) = -500[/tex]
Required
Interpret
From the question, we understand that:
[tex]x \to[/tex] Number of cars
[tex]L(x) \to[/tex] Profit on x cars
Using the above as a point of reference,
[tex]L'(x) \to[/tex] Rate of loss per x cars
So, the interpretations are:
[tex]L(50) = 8000[/tex]
A loss of 8000 on 50 cars
[tex]L'(50) = -500[/tex]
The loss rate is a reduction of 500 per 50 car
Help pleaseeeeeeeeeeeeeeeeeeeeee ASAP
Solve for x
Show work
Answer:
10x is equal to 100 so 100+6=106
then
Step-by-step explanation:
4x is equal to 8 so 4+18=22
so it's 128
23, 24, 25, 20, 25, 29, 24, 25, 30
Mean?
Median?
Mode?
Range?
Please help?
Answer:
median = 25. that's the answer
Answer:
Mean - 25
median - 25
range - 10
mode - 25
This negative when developed will produce a 4” by 6” photograph. What is the length of each negative, if the width is 24 millimeters
(12 ÷ 3 ∙ 2) + 4 − 5
Answer:
7
Step-by-step explanation:
(4·2)+4-5
8+4-5
12-5=
7
Brainliest question!
What’s the digit you need to input in the space with the question mark to complete the code for the safe? Here’s a hint to save you some stress: The “Safe A08” text on the bottom is meaningless, so don’t waste time trying to figure out if that will help you get the answer!
Answer:
4 will replace?
Step-by-step explanation:
as 3-2=1
6-4=2
4-1=3
8-2=6
again
3-2=1
so
6-x=2
6-2=x
4
plz mark it as brainliest answer
solve the proportion : 4/7=52/x
4. Convert the following fractions to decimals
1. 23/100
Answer:
0.23
Step-by-step explanation:
Using either long division or a calculator, divide 23 by 100; you will get the result 0.23.
Answer:
0.23 hope tbis helps :)
Step-by-step explanation:
Work out the value of the expression 2n + 1 when n= -5.
11
Step-by-step explanation:
2 times 5 +1=11
Answer:
2n+1=-5
2n=-5-1
2n=-6
n=-6÷2
n=-3
ok help due in 1 hour
Answer:
7.2 =x
Step-by-step explanation:
We know that
sin theta = opp / hyp
sin 41 = x/y
sin 41 = x/11
11 sin 41 =x
7.216649319 =x
Rounding to 1 decimal place
7.2 =x
3
PLEASE HELP ME
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar
Consider the equation.
4(pr + 1) = 64
The value of xin terms of pis
The value of x when pis -5 is
Reset
Next
Answer:
ans : x in terms of p is 15/p and if p is -5 than x= -3
Step-by-step explanation:
4( px +1 ) = 64
( Px + 1 ) = 64/4
px = 16 - 1
x = 15/p
and , if p= -5 than,
x = 15 / (-5)
= - 3
A market sells cucumber for 1.20 the cost of each cucumber is the same
Answer:
Step-by-step explanation:
Let the number of cucumber = x
And the cost of the cucumber = y
Cost of the cucumber will be directly proportional to the number of cucumbers.
y ∝ x
y = kx [Here, k = proportionality constant]
Since, market sells 3 cucumbers for $1.2
1.2 = k(3)
k = 0.4
Therefore, equation for this situation will be,
y = 0.4x
Part A
If x = 1,
y = 0.4(1)
= 0.4
For x = 2,
y = 0.4(2)
= 0.8
For x = 3,
y = 0.4(3)
= 1.2
Number of cucumbers Cost($)
1 0.4
2 0.8
3 1.2
Part B
Equation representing relation between number of cucumbers and the cost will be,
y = 0.40x [Option A]