a)
[tex]\dfrac{42}{65}\cdot\dfrac{25}{36}\cdot\dfrac{26}{49}=\dfrac{2\cdot3\cdot7}{5\cdot13}\cdot\dfrac{5\cdot5}{2\cdot2\cdot3\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\dfrac{7}{13}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\\\\\\=\dfrac{1}{1}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2}{7}=\dfrac{5}{3}\cdot\dfrac{1}{7}=\dfrac{5}{21}[/tex]
b)
[tex]\dfrac{21}{32}\cdot\dfrac{39}{120}\cdot\dfrac{40}{65}=\dfrac{21}{32}\cdot\dfrac{3\cdot13}{2\cdot2\cdot2\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot2\cdot5}{5\cdot13}=\\\\\\=\dfrac{3\cdot7}{32}\cdot\dfrac{13}{2\cdot2\cdot2\cdot5}\cdot\dfrac{2\cdot2\cdot2}{13}=\dfrac{21}{32}\cdot\dfrac{1}{5}\cdot\dfrac{1}{1}=\dfrac{21}{160}[/tex]
c)
[tex]\dfrac{15}{90}\cdot\dfrac{36}{75}\cdot\dfrac{27}{42}=\dfrac{3\cdot5}{2\cdot3\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot3\cdot3}{3\cdot5\cdot5}\cdot\dfrac{3\cdot3\cdot3}{2\cdot3\cdot7}=\\\\\\=\dfrac{1}{2\cdot3}\cdot\dfrac{2\cdot2\cdot3}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{1}\cdot\dfrac{2}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{25}\cdot\dfrac{9}{7}=\dfrac{9}{175}[/tex]
So, what is the pattern? For positive integers a and b: (x^a)^b
Answer: (x^b)^a
Step-by-step explanation:
the inverse of a monomial with an exponent raised to another power will give the same product if you flip the exponents.
Here we have a general rule for exponents.
We will find that:
[tex](x^a)^b = x^{a*b}[/tex]
To get this, we can first check it with some values for the exponents.
a = 2
b = 3
[tex](x^2)^3 = (x^2)*(x^2)*(x^2) = (x*x)*(x*x)*(x*x) = x^6 = x^{2*3}[/tex]
Similarly, we can prove it for two general values of a and b:
[tex](x^a)^b = (x^a)*(x^a)*...*(x^a)\\b\ times[/tex]
Now each one of these parentheses has a multiplying by itself a times.
So when we write all the x's, we will see that there are a total of b*a x's
Thus we will have:
[tex](x^a)^b = (x^a)*(x^a)*...*(x^a) = x^{a*b}[/tex]
If you want to learn more, you can read:
https://brainly.com/question/5497425
Answer the question in the photo
Answer:
10
Step-by-step explanation:
-15+10=-5
3. Find the solution set for this inequality:
-4(3x - 5) < 2(3x + 4)
Answer:
Step-by-step explanation:
x>2/3
which angles are complementary?
Answer:
<LKM and <MKN
<PKO and <LKM
Step-by-step explanation:
<LKM and <MKN = 90°
<PKO and <LKM = 90°
Find the coordinates of the image after the given transformation.
translation: 6 units right and 3 units down
51-3, 3). C-1, 4), 14-2, -1)
help me pls
Are these correct? I haven't submitted it yet
WILL MARK YOU BRAINLIEST
A and B
......................
Answer:
B. [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
A. [tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\[/tex]
D.
Step-by-step explanation:
㏒ x = 5-x solve the equation
Answer:
x = 10 ^ 5 - x
Step-by-step explanation:
You need to invest in a graphing calculator my friend.
log10(x)=5-x
10^log10(x) = 10^5-x
x = 10^5-x
The function f is defined by the following rule.
f(x) = 3x - 3
Complete the function table,
X
- 4
2
5
when half of a number is decreased by 24, the result is 95.
the answer is 50%
there u go
-2(x+6) - (3x+1) Please help!
Answer:
[tex]-5x-13[/tex]
Step-by-step explanation:
[tex]-2\left(x+6\right)-\left(3x+1\right)[/tex]
Expand:
[tex]-2x-2\times6-(3x+1)[/tex]
[tex]-2x-12-\left(3x+1\right)[/tex]
Remove brackets and flip the signs in brackets:
[tex]-2x-12-3x-1[/tex]
Group the similar terms together:
[tex]-2x-3x-12-1[/tex]
Add/subtract the terms:
[tex]-5x-13[/tex]
1 is subtracted from a number
When an exponent is a negative number, we can think of it as taking the...?
Answer:
We can think of it as the zeros after the decimal point.
Step-by-step explanation:
Negative exponents always move the number to the right putting the decimal in front of it.
2 x 10-6
times what number is equal to 6 x 10-4
Answer:
times -6
Explanation... 2 x 10-6 x -6=56
6 x 10-4=56
Hope this helps
-1/8n= -2/7 whats the n value?
Answer:
16 /7
Step-by-step explanation:
multiply both sides by -8 then simplify
The box plot is based on the?
mean
median
mode
range
PLEASE GIVE BRAINLIST
By reading this ithink the answer is B=median
A boxplot is a standardized way of displaying the dataset based on a five-number summary: the minimum, the maximum, the sample median, and the first and third quartiles. Minimum : the lowest data point excluding any outliers.
hope this helped
HELP ME PLESE ,3 I NEED THIS
Answer:
270°
Step-by-step explanation:
[tex]m\widehat{BC} = 360\degree - (146\degree + 90\degree) \\
m\widehat{BC} = 360\degree -236\degree \\
m\widehat{BC} = 124\degree \\\\
m\widehat{ABC} =m\widehat {AB} + m\widehat {BC} \\
m\widehat{ABC} =146\degree + 124\degree \\
\huge \red {\boxed {m\widehat{ABC} =270\degree}} \\
[/tex]
C. ADD AND SUBTRACT REAL NUMBERS - Find each sum or ditterence.
TELE
1. - 63 +57
4. - 11.4 + (3.8)
7.- +13
14
2. - 21 - (- 46)
5. -7- (-7)
8. 104-9
3. 4.5 + (-10.2)
6
9. 4
+6
1. Answer: = -6
2. Answer:= 25
3. Answer:= -5.7
4. Answer:= -7.6
5. Answer:= 42
6 . Answer:= 3 r 14
7. Answer:= 1 r 16 r 45
8. Answer := 13 r 36
9. Answer:= 11 r 11 r 24
.
(sqrt(6))/(8+\sqrt(10))
Answer:
[tex]\frac{4\sqrt{6}-\sqrt{15}}{27}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{6} }{8+\sqrt{10} } \\\\\mathrm{Multiply\:by\:the\:conjugate}\:\frac{8-\sqrt{10}}{8-\sqrt{10}}\\=\frac{\sqrt{6}\left(8-\sqrt{10}\right)}{\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)}\\\\\sqrt{6}\left(8-\sqrt{10}\right)=8\sqrt{6}-2\sqrt{15}\\\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)=54\\\\=\frac{8\sqrt{6}-2\sqrt{15}}{54}\\\\\mathrm{Factor}\:8\sqrt{6}-2\sqrt{15}:\quad 2\left(4\sqrt{6}-\sqrt{15}\right)\\\\=\frac{2\left(4\sqrt{6}-\sqrt{15}\right)}{54}\\[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{4\sqrt{6}-\sqrt{15}}{27}[/tex]
help me I really need help
Answer:
Probably a line passing through 1,1 and 7,1 because if you were to graph it on a chart, the line would be straight across and not have a high rate or a low rate.
Answer: Not to sure but I think its B
Step-by-step explanation:
Newton is thinking of a 6-digit number in which all of the digits are the same. The value of the digit in the thousands place is 8,000. What is Newton's number?
Answer:
Newton’s number is 888888
Step-by-step explanation:
Here, we want to write the Digit in which Newton is thinking of.
The information we have at hand is that, there are 6 numbers which are the same in this digits.
Now let’s look at the other information. The value of the thousand figure is 8,000. What this practically means is that the digit at the thousand place is simply 8.
Since all the digits are same, the digit he is thinking of will be 888888
Triangle ABC contains the point A(5,2). Find the coordinates of A' after a reflection over the x-axis
Answer:
Step-by-step explanation:
Should be 5,-2 OR NOT
Sherry has a package in the shape of a rectangular prism. What is the volume, in cubic inches (in.), of the rectangular prism? (use cubic inches as your unit) *
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the dimension of the prism is not given. However, the following steps can serve as a guide for you.
The volume of a rectangular prism is calculated as thus:
[tex]Volume = Length * Width * Height[/tex]
So, Take for instance
[tex]Length = 2\ in[/tex]
[tex]Width = 3\ in[/tex]
[tex]Height = 4\ in[/tex]
The Volume would be:
[tex]Volume = 2\ in * 3\ in * 4\ in[/tex]
[tex]Volume = 24\ in^3[/tex]
In 2008, Scott Dixon won the Indianapolis 500, completing 500 laps in approximately 3.5 hours. Approximately how long did it take for him to complete 1 lap?
Answer:
0.007 hour or 25.2 seconds
Step-by-step explanation:
From the question, we are told that for Scott Dixon,he completed
500 laps in approximately = 3.5 hours. 1 lap approximately =
Cross Multiply
= 1 lap × 3.5 hours = 500 laps × a hours
a hours = 1 lap × 3.5 hours/500 laps
a hours = 0.007hours
We can convert 0.007 hours to seconds
60 seconds = 1 minute
60 minutes = 1 hour
1 hour = 60 × 60
= 3600 seconds
1 hour = 3600 seconds
0.007 hour =
0.007 hour × 3600 seconds
= 25.2 seconds
Therefore, it took Dixon approximately 0.007 hour or 25.2 seconds did it take for him to complete 1 lap
0.04 divided by 3.3284
Answer:
The answer is 0.01201778632
Step-by-step explanation:
!!50 POINTS!!
Name the plane represented by the top of the box.
Answer:
B. BAD
Step-by-step explanation:
Given the graph below, which of the following statements is true?
Ту
5
4
3
1 2
The graph represents a one-to-one function because every x-value is paired with only one y-value.
The graph represents a one-to-one function because it is defined for all X-values.
The graph does not represent a one-to-one function because it does not pass through the origin.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with
multileve
Answer:
it’s d on edg
Step-by-step explanation:
The equation which represents the graphed function is; y = (-1/3)x + 3
What is Equation of a line?The equation of a straight line is y=mx+c y = m x + c m is the gradient and c is the height at which the line crosses the y -axis, also known as the y -intercept.
here, we have,
By observation, the graphed line crosses the y-axis at point; (0, 3). Hence, the y-intercept is at y= 3.
Additionally, the slope of the line can be evaluated by considering the two points given;
Slope, m = (2-3)/(3-0)
Slope, m = -1/3
Hence, the equation of the line is;
y = (-1/3)x + 3
Read more on equation of a line;
brainly.com/question/13763238
#SPJ7
Evaluate 6 + 4/a +
b/3
when a = 4 and b = 3.
The answer to your problem would be 8.
F(x)=(x-2)^2
Evaluate for f(5)
Need Answers ASAP
Answer:
f(5) = 9
Step-by-step explanation:
To evaluate f(5) substitute x = 5 into f(x), that is
f(5) = (5 - 2)² = 3² = 9
Answer:
f(5) = 9Step-by-step explanation:
f(x) = ( x - 2)²
To find f(5) substitute the value of x that's 5 into f(x). That's for every x in f (x) replace it with 5
That's
f(5) = ( 5 - 2)²
= 3²
We have the final answer as
f(5) = 9Hope this helps you
Whenringingupacustomer,acashierneeds15secondstoprocesspaymentaswellas3secondstoscaneachitembeingpurchased.Ifittakes21secondstoringupacustomer,howmanyitemsarebeingpurchased?
Answer:
um, can you make that a bit clearer thanks! (:
Step-by-step explanation: