{2×3}×{2×3} +{3×5}×{3×5}
36+225=261
k1.6=13
i need help finding the value
Answer:
k=8.125
Step-by-step explanation:
just divide 13 by 1.6
(1) Compute the following sums:
(a) P150
i=1 2
(b) P50
n=1 n
(c) P60
n=10 n
(d) P25
n=1 3n2
(e) P55
i=1 (i + 2)
(f) P500
k=100 k
(g) P50
k=2 (k2 − 2k + 1)
(h) P20
m=10 m3
Solution: For the solutions to these, we will use the following results, which have been
established by Gauss’s formula, and the notation shown below for convenience:
S0(n) = Xn
i=1
1 = n S1(n) = Xn
i=1
i = n(n + 1)
2
S2(n) = Xn
i=1
i
2 = n(n + 1)(2n + 1)
6
S3(n) = Xn
i=1
i
3 =
n(n + 1)
2
2
(a) P150
i=1 2=2P150
i=1 1 = 2(150) = 300
(b) P50
n=1 n = (50)(50+1)
2 = 1275
(c) P60
n=10 n = P60
n=1 n − P9
n=1 n = (60)(61)
2 − (9)(10)
2 = 1785
(d) P25
n=1 3n2 = 3P25
n=1 = 3(25)(26)(51)
6 = 5525
(e) P55
i=1 (i + 2) = P55
i=1 i + P55
i=1 2 = (55)(56)
2 + 2(55) = 1650.
(f) P500
k=100 k = P500
k=1 k − P99
k=1 k = (500)(501)
2 − (99)(100)
2 = 120300
(g) P50
k=2 (k2 − 2k + 1) = P50
k=2 k2 − 2
P50
k=2 k + P50
k=2 1
= (P50
k=1 k2 − 1) − 2(P50
k=1 k − 1) + (P50
k=1 1 − 1)
= ( (50)(51)(101)
6 − 1) − 2( (50)(51)
2 − 1) + (1(55) − 1) = 40430
(h) P20
m=10 m3 = P20
m=1 m3 − P9
m=1 m3 = [ (20)(21)
2 ]
2 − [
(9)(10)
2 ]
2 = 46125
(2) A clock at London’s Heathrow airport chimes every half hour. At the beginning of the
n’th hour, the clock chimes n times. (For example, at 8:00 am the clock chimes 8 times,
at 2:00 pm the clock chimes fourteen times, and at midnight the clock chimes 24 times.)
The clock also chimes once at half-past every hour. Determine how many times in total
the clock chimes in one full day. Use sigma notation to write the form of the series before
finding its sum.
Solution: ¡¡ There is no solution for this problem. ¿¿
Solve the inequality
Answer:
x<-9 oops so that would be A :)
Step-by-step explanation:
You're welcome. :)
What is the simplified form of
72x16
50x36
? Assume x+0.
6
5x10
6
5x2
10
Answer:
The simplified form is [tex]\frac{6}{5x^{10} }[/tex] ⇒ A
Step-by-step explanation:
To simplify a root divide the power of the variable by 2 to cancel itFactorize the coefficient of the variable and take out the repeated factor twice out the rootLet us solve the question
∵ The expression is [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex]
→ At first, divide simplify the coefficient of the variable
∵ [tex]\frac{72}{50}=\frac{36}{25}[/tex]
∵ 36 = 6 × 6 and 25 = 5 × 5
→ 6 and 5 repeated twice then the can go out the root one 6 and one 5
∴ [tex]\sqrt{\frac{36}{25}}=\frac{6}{5}[/tex]
→ Let us use the exponent rule with division [tex]\frac{a^{m} }{a^{n}}=a^{m-n}[/tex]
∵ [tex]\frac{x^{16}}{x^{36}}=x^{(16-36)}=x^{-20}[/tex]
→ To cancel the root divide the power by 2
∵ -20 ÷ 2 = -10
∴ [tex]\sqrt{x^{-20}}=x^{-10}[/tex]
∴ [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]x^{-10}[/tex]
→ To change the power of x from (-) to (+) reciprocal x
∴ [tex]x^{-10}=\frac{1}{x^{10}}[/tex]
∴ [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5x^{10} }[/tex]
∴ The simplified form is [tex]\frac{6}{5x^{10} }[/tex]
Identify the value for the variable
Answer:
-12, 4
Step-by-step explanation:
7^-9 x 7^-3 = 7^-12
When you multiply exponents with the same base, you add them.
11^-4/11^-8 = 11^4
When you subtract exponents with the same base, you subtract the exponent in the numerator by the exponent in the denominator.
A compound inequality using the variable x is
Answer:
The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.
Answer:
x>-1, x<2 or -1<x<2
Step-by-step explanation:
usining this method, by a compound x is larger than -1 and x is smaller than 2. It can either be written as x > -1 and x < 2 or as -1 < x < 2.
Find the Product.
[tex](9f+10)^{2}[/tex]
Answer:
81f^2 + 180f + 100
Step-by-step explanation:
(9f +10)(9f+10)= 81f^2+ 90f+ 90f+100 = 81f^2 + 180f +100
Answer:
81f^2+180f+100
Step-by-step explanation:
(9f+10)^2
you can group it so it's:
(9f+10)(9f+10)
and then multiply that out (FOIL)
9f*9f = 81f^2
9f*10=90f 10*9f=90f 90f+90f=180f
10*10=100
Use the complement rule for probabilities
Question
arces
Over the course of a week, an airline has 42 flights between New York and Los Angeles. Of these flights, 28 are considered
to be "on-time."
If you chose a particular flight at random, what is the probability that it would not be on-time? Express your answer as a
fraction.
Provide your answer below:
Answer:
The probability that a particularly randomly chosen flight will not be on time is 1/3
Step-by-step explanation:
The number of flights available between New York and Los Angelis = 42 flights
The number of flights that are considered to be on time = 28 flights
The probability that a particularly randomly chosen flight will not be on time = 1 - The probability that the flight will be on time
The probability that the flight will be on time = (The number of flights considered to be on time)/(The total number of flights available)
The probability that the flight will be on time = 28/42 = 2/3
∴ The probability that a particularly randomly chosen flight will not be on time = 1 - 2/3 = 1/3
The probability that a particularly randomly chosen flight will not be on time = 1/3.
A tennis racket normally cots $70. The tennis racket is on sale for 40% off. What is the sale price of the tennis racket?
Answer:
$42
Step-by-step explanation:
Answer:
$42
Step-by-step explanation:
To find the sale price of the tennis racket, multiply the original price by 0.6:
70(0.6)
= 42
So, the sale price of the tennis racket is $42
Is this right pls tell me ASAP
In city A, the temperature rises 9° from 8 am to 9 am. Then the temperature drops 8° from 9 am to 10 am. In city B, the temperature drops 5° from 8 am to 9 am. Then the temperature drops 4° from 9 am to 10 am.
a. What expression represents the change in city A?
b.What integer represents the change in temperature for city A?
c.What expression represents the change in city B?
d.What integer represents the change in temperature for city B?
e.Which city has the greater change in temperature from 8 am to 10 am?
Ter.
Identify the property used in this equation:
(-2) + 6 + 1 = 1 + 6 + (-2)
Use the interactive tool tahyaluate the expression.
Answer:
commutative property
Step-by-step explanation:
Answer:
its commutative property and 5
Your answer
2. Find the slope of the line that passes through each of the points. Make
sure you simplify! *
1 point
(4,-2)and (10,-2)
1/2
-1/2
O 0
1/6
hey what 4a + 5 - 7a = 35
Explain how to write an equation from a graph in slope intercept form .
Step-by-step explanation:
To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The y- coordinate is the value of b in the equation.
pls give brainest i only have 2
The slope intercept form is given by y = mx + c
What is the Slope Intercept Form of a Line?The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.
Given here: Slope intercept form
We know that, the equation of a line in point slope form, where (x1, y1) is the point and slope m is:
(y – y₁) = m(x – x₁)
Here, (x, y₁) = (0, c)
Substituting these values, we get;
y – c = m(x – 0)
y – c = mx
y = mx + c
Therefore, the point (x, y) on the line with slope m and y-intercept c lies on the line if and only if y = mx + c
Hence, The slope intercept form is given by y = mx + c
Learn more about slope intercept form here:
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order from least to greatest 1. 23 , 34 , 78/9 ,-67 ,-56.2, 8.001
HELPPPPPP PLZZZZZZZZZZZZ
Answer:
-67, -56.2, 8.001, 78/9, 23, 34
PLEASE HELP ME!!! Question says complete the table!
Answer:
8000•1.05 8000(1.05)¹
(8000•1.05)•1.05 8000(1.05)²
((8000•1.05)•1.05)•1.05 8000(1.05)³
(((8000•1.05)•1.05)•1.05)•1.05 8000(1.05)⁴
8000(1.05)^t
Solve for g in the proportion.
Answer:
14
Step-by-step explanation:
Cross multiply, then divide: 18 × 7 = 126, 126 ÷ 9 = 14I hope this helps!
Answer:
14
Step-by-step explanation:
Step 1:
7/9 = q/18 Equation
Step 2:
9q = 126 Multiply
Step 3:
q = 126 ÷ 9 Divide
Answer:
q = 14
Hope This Helps :)
Suzanne Attired makes fashionable garments. During a particular week employees worked 360 hours to produce a batch of 132 garments, of which 52 were seconds (meaning they were flawed). Seconds are sold for $90 each at Attired's Factory Outlet Store. The remaining 80 garments are sold for $200 each. What is the labor productivity ratio of this manufacturing process
Answer:
$57.44 per hour
Step-by-step explanation:
Given that :
Hours worked = 360 hours
Production = 132 batches of garment
Of the 152:
52 were flawed (sold at $90 each)
80 were sold at $200 each
Labor productivity ratio: (output value / input value (hours worked))
Output value = [(52*$90) + (80*$200)]
Output value = $20,680
Labor productivity ratio = $20,680 / 360 hours
Labor productivity ratio = $57.44 per hour
Which of the following steps could be used to solve the equation 93 = x + 58?
Answer:
x=35
Step-by-step explanation:
93=x+58
-58 -58
35=x
x=35
Simply subtract 58 on both sides so it crosses out, isolating x.
Also x would be 35 in case you need that.
The price of one share of a company’s stock declined $13.89 every day for 2.5 days. What was the stock’s total decline in price?
Which estimate uses compatible numbers to estimate the problem?
What is the exact answer?
Answer:
-$14(2.5) & -$34.73
Step-by-step explanation:
Which estimate uses compatible numbers to estimate the problem?
✔ -$14(2.5)
What is the exact answer?
✔ -$34.73
Answer:
answer is above
Step-by-step explanation:
2
A community center charges x dollars for a summer activity if individuals are signed
up before the day of the activity. Individuals who sign up the day of the activity are charged
a fee of x + 0.20x dollars. Which expression also represents the fee for signing up the day
of the activity, and what does it mean about the fee? *
(5 Points)
A.1.20x, individuals signing up the day of the activity get ch arg ed20% more
B.0.8x, individuals signing up the day of the activity get ch arg ed 20% more
C.1.20x, individuals signing up the day of the activity get ch arg ed20% less
D.O.8x, individuals signing up the day of the activity get ch arg ed20%less
Answer:
A. 1.20x; individuals signing up the day of the activity get charged 20% more
Step-by-step explanation:
Amount charged before the day of activity = x
Amount charged on any individual who decides to sign up on the day of activity would be the normal price, x dollars, plus an additional price of 0.20x dollars.
0.20x = 20% of x.
That is, the additional fee added to the normal price is 20% of the normal price.
Therefore, amount paid on the day of the activity is x + 0.20x = 1.20x dollars.
What this fee means is that those who decide to sign up on the day of the activity are charged 20% more.
Simplify:
-5 - 1( 9 + x ) - 4x
Answer:
[tex] - 5 - 1 \times (9 + x) - 4x = \\ - 5 - 9 - x - 4x = \\ -14 - 5x[/tex]
Which of the values below will make the equation
3x -- 11 = 40
true?
which equation represents this sentence? one half the sum of a number and four is less than the quotient of five and the number
Answer:
The fourth one
Step-by-step explanation:
Three less then the quotient means you are subtracting 3 from a division problem. 1/2 the sum of a number and four means that there is going to be a variable and 4 in parenthesis that you will add before you multiply by 1/2.
Using the existing midpoints of each side of the triangle, create the three medians. What do you observe about the way the medians Intersect?
Answer:
The three medians intersect at a single point.
Step-by-step explanation:
PLATO MAKE BRAINLIEST PLZZ
Centroid is that point where median draw from the center of each side in a triangle meet.
What is centroid?The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.
Let,
There is a triangle ΔABC
Mark midpoints on sides AB, BC and CA which lets P, Q and R respectively.
Join PC, RB and QA
The point where PC, RB and QA meets called centroid.
Hence, the point of intersection of three medians is Centroid.
Learn more about Triangles:
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List of Candidates Including Highest Degree and Skill Set Degree Skill set Applicant 1 Associates Attention to detail, organizational skills, and critical thinking skills Applicant 2 Master's Math skills, critical thinking skills, and computer skills Applicant 3 Bachelor's Computer skills, analyzing skills, and verbal communication skills Applicant 4 Master's Long-term planning skills, office technology skills, and stress-management skills
Which applicant would be best suited for an operation research analyst? applicant 1 applicant 2 applicant 3 applicant 4
Answer:
I pretty sure its C
Step-by-step explanation:
Answer:
applicant 3
Step-by-step explanation:
Convert 77º F into kelvins.
Answer:
298.15
Step-by-step explanation:
Find the equation of the perpendicular bisector of AB when A(-7,2) and B(3,4)
Given:
Two points are A(-7,2) and B(3,4).
To find:
The perpendicular bisector of AB.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Slope of AB is
[tex]m_1=\dfrac{4-2}{3-(-7)}[/tex]
[tex]m_1=\dfrac{2}{3+7}[/tex]
[tex]m_1=\dfrac{2}{10}[/tex]
[tex]m_1=\dfrac{1}{5}[/tex]
Procut of slopes of perpendicular line is -1.
So, slope of perpendicular bisect is opposite of reciprocal of [tex]\dfrac{1}{5}[/tex].
[tex]m_2=-5[/tex]
Midpoint of AB is
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-7+3}{2},\dfrac{2+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4}{2},\dfrac{6}{2}\right)[/tex]
[tex]Midpoint=\left(-2,3\right)[/tex]
Slope of perpendicular bisector is -5 and it passes through (-2,3), so the equation of perpendicular bisector is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
[tex]y-3=-5(x-(-2))[/tex]
[tex]y-3=-5(x+2)[/tex]
[tex]y-3=-5x-10[/tex]
Add 3 on both sides.
[tex]y=-5x-10+3[/tex]
[tex]y=-5x-7[/tex]
Therefore, the equation of perpendicular bisector is [tex]y=-5x-7[/tex].
7(n+4)=21 what is n?
Answer:
-1
Step-by-step explanation:
divide both sides by 7 and you will get (n+4)=3
then subtract 4 on both sides and get n is equal to -1
Answer:
-1
Step-by-step explanation:
Nathan will be working between 30 to 39 hours inclusive this week, which is 3 more than triple
what he worked last week. How many hours could have Nathan work last week?
