Answer:
[tex]\boxed{\bold 4.651 \times {10}^{5}}}[/tex]
Step-by-step explanation:
[tex]400000 + 60000 + 5000 + 100 \\ = 465100[/tex]
Now write it in standard form.
[tex]465100 \\ = 4.651 \times {10}^{5} [/tex]
hope this helps you.
will give the brainliest!
follow~Hi1315~
Use the summation formulas to rewrite the expression without the summation notation. summation_k = 1^n 12k(k - 1) / n^3 Use the result to find the sums for n = 10, n= 100, n= 1000 n= 10,000.
Answer:
[tex]Sum=4*[\frac{n^2-1}{n^2}][/tex]
For n=10:
Sum=3.96
For n=100:
Sum=3.9996
For n=1000:
Sum=3.999996
For n= 10000:
Sum=3.99999996
Step-by-step explanation:
Formula:
[tex]\sum_{k=1}^n \frac{12k(k-1)}{n^3}[/tex]
Rearranging the above formula:
[tex]\sum_{k=1}^n \frac{12}{n^3}*k(k-1)\\\sum_{k=1}^n \frac{12}{n^3}*(k^2-k)[/tex] Eq (1)
According to summation formula:
[tex]\sum_{k=1}^n\ k= \frac{n(n+1)}{2}\\ \sum_{k=1}^n\ k^2= \frac{n(n+1)(2n+1)}{6}\\[/tex]
Putt these in Eq (1), and we will get:
[tex]=\frac{12}{n^3}[\frac{n(n+1)(2n+1)}{6}-\frac{n(n+1)}{2}]\\Taking\ n\ as\ common\\=n*\frac{12}{n^3}[\frac{(n+1)(2n+1)}{6}-\frac{(n+1)}{2}] \\=\frac{12}{n^2}*[\frac{(n+1)(2n+1)}{6}]-\frac{12}{n^2}*[\frac{(n+1)}{2}] \\=\frac{2*(n+1)(2n+1)}{n^2}-\frac{6(n+1)}{n^2}\\[/tex]
Taking [tex]2(n+1)[/tex] as common:
[tex]=2(n+1)*\frac{2n+1-3}{n^2} \\=(2n+2)*\frac{2n-2}{n^2}\\=\frac{4n^2-4}{n^2}[/tex]
After more simplifying,
[tex]Sum=4*[\frac{n^2-1}{n^2}][/tex]
Now ,for n=10:
[tex]Sum=4[\frac{(10^{2})-1}{10^{2}}]\\Sum=3.96[/tex]
For n=100:
[tex]Sum=4[\frac{(100^{2})-1}{100^{2}}]\\Sum=3.9996[/tex]
For n=1000
[tex]Sum=4[\frac{(1000^{2})-1}{1000^{2}}]\\Sum=3.999996[/tex]
For n=10000:
[tex]Sum=4[\frac{(10000^{2})-1}{10000^{2}}]\\Sum=3.99999996[/tex]
y=2 + x; use x= 1, and y= 2
Find (a) PQ to the nearest tenth and (b) the coordinates of the midpoint of PQ. P(-6,6), Q(4,-1)
Answer:
a) PQ = 12.2
b) M (-1, 2.5)
Step-by-step explanation:
a) PQ
use pythagorean PQ = [tex]\sqrt{(6+4)^2 +(6+1)^2}[/tex]
PQ = [tex]\sqrt{149}[/tex] = 12.2
b) Midpoint
Mx = (-6 + 4)/2 = -1
My = (6 + -1)/2 = 2.5
Answer:
[tex]\Huge \boxed{\mathrm{a) \ 12.21}} \\\\\\\\ \huge \boxed{\mathrm{b) \ -1, \ \frac{5}{2}}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
(a)We can use Pythagorean theorem to solve for the length of PQ.
[tex]PQ=\sqrt{10^2 +7^2 }[/tex]
[tex]PQ=\sqrt{149} \approx 12.2066[/tex]
The length of PQ is approximately 12.21.
(b)We can find the midpoint with the midpoint formula:
[tex]\displaystyle \frac{x_1 + x_2 }{2}, \ \frac{y_1+y_2}{2}[/tex]
[tex]\displaystyle \frac{-6+4 }{2}, \ \frac{6+-1}{2}[/tex]
[tex]\displaystyle \frac{-2 }{2}, \ \frac{5}{2}[/tex]
[tex]\displaystyle -1, \ \frac{5}{2}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Angles R and S are supplementary angles. which is the measure of R?
Answer:
R = 15°Step-by-step explanation:
Since angles R and S are supplementary angles it means that the sum of their angles add up to 180°
To find R we must first find x
To find x , add angles R and S and equate them to 180
That's
R + S = 180
80 - x + 3x - 30 = 180
2x + 50 = 180
2x = 180 - 50
2x = 130
Divide both sides by 2
x = 65°
From the question
R = 80 - x
But x = 65°
Substitute the value of x into the expression
That's
R = 80 - 65
We have the final answer as
R = 15°Hope this helps you
Solve the equation using the Properties of Equality.
79 + 3 = 45
Step 1 out of 4:
7a + 3 - [ ] = 45- [ ]
Answer:
7a + 3 -3 =45 - 3
7a + 0 = 42
7a = 42
7a/7 = 42/7
a = 6
What is a unit rate
[tex]{Option: A}[/tex]
What is a unit rate?
=> A rate that has a 1 as its denominator.
______________ In the adjoining figure, find the value of x for which
The lines l and m are parallel.
hope it helps I tried my best
Please help asapppppp
Answer:
Step-by-step explanation:
(500 x 4) + (50 x 4) + (4 x 2)
2000 + 200 + 8
2208 is the solution
Which variable(s) in the data set are measured using a nominal scale? Environment Environment and Age Group Age Group None of the variables
Answer:
Environment
Step-by-step explanation:
Level of measurement used in statistics summarizes what statistical analysis that is possible. We have three types of level of measurement.
Nominal Scale
Ordinal Scale
Interval/ Ratio Scale
The nominal scale known as categorical or qualitative is the most basic level of measurement. Examples include numbers, colour, sex.
Ordinal are variables categorize according to hierarchy they usually have a meaningful order, but the intervals between the variables may not be equal.
In interval/ratio level of measurement, are measured and ordered. Examples are weight or size.
From the given question, it is only the environment that is measured using a nominal scale.
Age group is ordinal because it can be ordered based on hierarchy.
Mr.ben has a3/4 pound of flour to use for 6 cakes . how much flour is used for each cake
Answer:
1/4 OF FLOUR IS USED FOR EACH CAKE
Step-by-step explanation:
[tex]\frac{3}{4} X 6[/tex]=4.5
[tex]\frac{4.5}{6}[/tex]=0.75
Find the product: -5(-3)(-3)
Answer:
-45
Step-by-step explanation:
Answer:
((−5)(−3))(−3)
=−45
hope this was helpful!
Andy currently has a balance of $4,585.92 in an account he has held for 21 years. He opened the account with an initial deposit of $3,278. What is the simple interest rate on the account? (2 points)
a.1.9%
b.1.4%
c.4.8%
d.6.7%
The closest answer I got was D. Add 4,585.92+3,278, because he initial deposited the money into the bank.
The marketing manager of a firm that produces laundry products decides to test market a new laundry product in each of the firm's two sales regions. He wants to determine whether there will be a difference in mean sales per market per month between the two regions. A random sample of 12 supermarkets from Region 1 had mean sales of 79.8 with a standard deviation of 8.8. A random sample of 17 supermarkets from Region 2 had a mean sales of 85.2 with a standard deviation of 8.3. Does the test marketing reveal a difference in potential meal sales per market in Region 2? Use a signifiance level of a = 0.02 for the test. State the null and alternative hypotheses for the test and find the test statistic.
Answer:
The null hypothesis is [tex]H_o: \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_1 : \mu_1 \ne \mu_2[/tex]
The test statistics is [tex]t = -1.667[/tex]
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 12[/tex]
The first sample mean is [tex]\= x_1 = 79.8[/tex]
The first standard deviation is [tex]\sigma _1 = 8.8[/tex]
The second sample size is [tex]n_2 = 17[/tex]
The second sample mean is [tex]\= x_2 = 85.2[/tex]
The second standard deviation is [tex]\sigma _2 = 8.3[/tex]
The null hypothesis is [tex]H_o: \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_1 : \mu_1 \ne \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x_ 1 - \= x_2 }{ \sqrt{ \frac{\sigma_1^2 }{n_1 } +\frac{\sigma_2^2 }{n_2} } }[/tex]
=> [tex]t = \frac{ 79.8 - 85.2 }{ \sqrt{ \frac{8.8^2 }{12} +\frac{ 8.3^2 }{17} } }[/tex]
=> [tex]t = -1.667[/tex]
Write an inequality that represents "nine less than three times a number is greater than forty"?
Answer:
Three times a number is 3n. Nine less than that is 3n-9. This is NOT the same thing: 9-3n. Subtraction is not commutative. If n was 1, for example, 3(1)-9=-6. Looking at the other expression, 9-3(1)=6. 6 and -6 are definitely not the same number. So be careful how you set up your expression. Our inequality then would be
Step-by-step explanation:
PLZ HELP ME OUT How do I know a number is rational or irrational?
Answer: If a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.
If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.
Step-by-step explanation:
So if a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.
If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.
A random sample of 13 hotels in Boston had an average nightly room rate of $172.10 with a sample standard deviation of $23.90. The approximate standard error of the mean for this sample is ________.
Answer:
6.63Step-by-step explanation:
Standard error of the mean is expressed as shown below.
SE = S/√n where;
S is the standard deviation
n is the sample suze
Given parameters
Standard deviation = $23.90
sample size = 13
Required
Standard error of the mean for this distribution.
Substituting the given value into the formula we have;
SE = 23.90/√13
SE = 23.90/3.6056
SE = 6.6286
Hence the approximate standard error of the mean for this sample is 6.63
For x > 3, values of the function f(x) = –(x – 3)2(x + 2) are negative. On this same interval, which statement correctly describes the values of the additive and multiplicative inverses?
Both the additive inverse and the multiplicative inverse are positive. Both the additive inverse and the multiplicative inverse are negative. The additive inverse is positive, while the multiplicative inverse is negative.
The additive inverse is negative, while the multiplicative inverse is positive.
Answer:
its c The additive inverse is positive, while the multiplicative inverse is negative.
Step-by-step explanation:
The additive inverse is positive, while the multiplicative inverse is negative.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
A relation is a function if it has only One y-value for each x-value.
The given function is f(x) = –(x – 3)²(x + 2)
Function equal to minus x minus three whole square times of x plus two.
as x>3, the values of x will be positive.
So the additive inverse is positive, while the multiplicative inverse is negative.
Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.
A multiplicative inverse or reciprocal for a number x, denoted by 1/x.
Hence, the additive inverse is positive, while the multiplicative inverse is negative.
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
What are the x-intercepts of the graphed function?
O (-3,0) and (0, 1.5)
O (-3,0) and (1,0)
0 (-1,2) and (1,0)
O (0, 1.5) and (1,0)
Answer:
(-3,0) and (1,0)
Step-by-step explanation:
The x-intercepts of the function that is graphed above are the points where the line of the graph intercepts or crosses the y-axis. At that point, y is always 0.
Thus, the line of the graph intercepts the x-axis at x = -3, when y = 0 (-3, 0), and also at x = 1, when y = 0 (1, 0).
Therefore, the x-intercepts of the graphed function are (-3,0) and (1,0).
Simplify five subtract -1
I used a highly analytical formula to find out that the simplified formula to this complex equation is indeed:
4
Answer:
4
Step-by-step explanation: You cant simplify five, and if you do want to make 5 in to a fraction it's 5/1
5/1 simplifyed it 5
5-1=4
What is the distance between the coordinates (5, 5) and (7, 2)? Round your
answer to the nearest tenth.
Answer: 3.6
Step-by-step explanation:
To find the distance, find the difference in the x and y coordinates then square them to add them and find the square root of that number you get after you added it.
x coordinate: 5 - 7 = -2
y coordinate: 5-2 = 3
2^2 + 3^2 = c^2 where c is the length
4 + 9 = c^2
13 =c^2
c = [tex]\sqrt{13}[/tex]
c= 3.605 rounded to the nearest tenth is 3.6
A train cover 828 km in 9 hours what distance will it covers in 1 hour
Answer:
Step-by-step explanation:
distance covered in 9 hours = 828 km
therefore, distance covered in 1 hour = 828 / 9
= 92 km
Hope this helps
plz mark as brainliest!!!!!
Answer:
Step-by-step explanation:
Hello,
A train cover 828 km in 9 hours what distance will it covers in 1 hour
828 km => 9 hours
? km => 1 hour
= 1 x 828 / 9
= 92 km
Use the round trip airfare table to determine the percentile rank of $1,133
Answer:
R= $1,133/100(7+1)
=234.86 RS.
Step-by-step explanation:
percentile rank is the percentage of scores that shall be equal to or less than a given value. The percentage falls within the range of 0 to 100. To find out the percentile rank, we used the formula:
R= P/100(N+1). Where R is the percentile rank, p is a percentile and N number of items.
Let for round trip airfare; the percentile is $1,133. And the number of days for the trip is 7.put these values in the formula, we have
R= $1,133/100(7+1)
=234.86 RS.
multiples of 7 (-7,-4,2,14,21,34,42)ñ
Answer:
(-7,14,21,42)
Step-by-step explanation:
(-7,-4,2,14,21,34,42)
-7 = 7*-1 yes
14 = 7*2 yes
21 = 7 *3 yes
42 = 7*6 yes
Answer:
[tex]\huge\boxed{(-7,14,21,42)}[/tex]
Step-by-step explanation:
Let's check which multiples are of 7:
-7 => 7 × -1 [A multiple of 7]
-4 => Not a multiple of 7
2 => Not a multiple of 7
14 => 2 × 7 [A multiple of 7]
21 => 3 × 7 [A multiple of 7]
34 => Not a multiple of 7 [Doesn't come in the table of 7]
42 => 6 × 7 [A multiple of 7]
So, the multiples of 7 are:
(-7,14,21,42)
Which transformations to the graph of j(x) would result in the graph of j(4x) – 27?
A) horizontal stretch by a factor of 4, and a translation 27 units right
B) horizontal stretch by a factor of 4, and a translation 27 units down
C) horizontal compression by a factor of 4, and a translation 27 units right
D)horizontal compression by a factor of , and a translation 27 units down
Answer:
Option D.
Step-by-step explanation:
It is given that, graph of j(x) transformed in the graph of j(4x) – 27.
We need to find the transformations.
Consider the new function is
[tex]f(x)=j(4x)-27[/tex] ... (1)
The translation is defined as
[tex]f(x)=j(kx+a)+b[/tex] ... (2)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
k=4>1, the graph j(x) compressed horizontally by factor of 1/4.
a=0, so there is no horizontal shift.
b=-27<0, so the graph of j(x) shifts 27 units down.
So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.
Therefore, the correct option is D.
Answer:
D) horizontal compression by a factor of 1/4, and a translation 27 units down
Step-by-step explanation:
got it right on edge :)
What are the full steps to 7x(x-2)+5(x-3)=-5
Answer:
[tex]x = -\frac{5}{7}, 2[/tex]
Step-by-step explanation:
To solve this equation, we need to simplify it down first. To do this, we must apply the distributive property to each term.
[tex]7x(x-2) + 5(x-3) = -5\\\\(7x^2 - 14x) + (5x - 15) = -5[/tex]
Now we can combine like terms.
[tex]7x^2 - 9x - 15 = -5[/tex]
Add 5 to both sides:
[tex]7x^2 -9x - 10 = 0[/tex]
We can see that this is a quadratic equation, in the form [tex]ax^2 + bx + c[/tex]. To solve for x, we must use the Quadratic Formula, which is [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex], where a is 7, b is -9, and c is -10.
Substitute inside the equation:
[tex]\frac{-(-9)\pm\sqrt{-9^2-4\cdot7\cdot-10}}{2\cdot7}\\\\\frac{9\pm\sqrt{81+280}}{14}\\\\\frac{9\pm19}{14}\\\\(9+ 19)\div14 = 2\\\\(9 - 19)\div14 = -\frac{5}{7}[/tex]
Hope this helped!
Answer:
Brianliest!
Step-by-step explanation:
simplify
7x^2-14x+5x-15 = -5
7x^2 - 9x - 10
x= 1
x = -0.7142857143
Margaret is going to paint a wall that 'is 8 feet high and 15 feet long. How many square feet will she be covering with paint?
Answer:
120
Step-by-step explanation:
you would do length times width equals area. First you would multiply 8 by 15 which would give you 120 square feet. So Maragaret would be covering 120 square feet with paint
State all possible names for the figure part 3
Answer:
quadrilateral,parallelogram
Step-by-step explanation:
A quadrilateral is a four-sided polygon.
A parallelogram is a quadrilateral with two sets of parallel sides, much like a rectangle, but with no right angles.
The sum of 2 consecutive integers is 21 what’s the two numbers
Answer:
10 and 11
Step-by-step explanation:
Let the first integer be x.
Then the next one, since it's consecutive, must be (x+1).
The two equals 21. Thus:
[tex](x)+(x+1)=21[/tex]
Combine like terms:
[tex]2x+1=21[/tex]
Subtract 1 from both sides:
[tex]2x=20[/tex]
Divide both sides by 2:
[tex]x=10[/tex]
So, the first integer is 10.
And the second integer is 10+1=11.
Answer:
10 , 11
Step-by-step explanation:
The sum of two consecutive integers is 21.
Let the least of the integer be signified by the variable x.
Consecutive means "directly after", which means the other integer would be: x + 1
Set the equation:
(x) + (x + 1) = 21
Simplify. Combine like terms:
x + x + 1 = 21
(x + x) + 1 = 21
2x + 1 = 21
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 1 from both sides:
2x + 1 (-1) = 21 (-1)
2x = 21 - 1
2x = 20
Next, divide 2 from both sides:
(2x)/2 = (20)/2
x = 20/2
x = 10
Plug in 10 for x in the equation:
(x) + (x + 1) = 21
10 + (10 + 1) = 21
10 + 11 = 21
21 = 21 (True)
The two numbers are 10, 11.
~
If x = 6 and y=5, find y when x = 3
Answer:
If x=6 and y=5 and we are to find y when x=3.
it will be 6=5,3=y....
5×3=6×y.
y=15/6=2.5 or 2 whole number 1/2.
This is the answer I hope it helps
Question 1 (9 points)
Combine like terms.
10 - 3 - 2 + 4
After combing like terms, the simplified expression is
Blank 1:
Answer:
-19
Step-by-step explanation:
10-3-2+4
= -3 -2 +4 +10
= -10