Answer:Answer:
[tex]\sum\left {{7} \atop {1}} \right -n(3+n)[/tex]
Step-by-step explanation:
Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;
The sum of an arithmetic series is expressed as [tex]S_n = \frac{n}{2}[2a+(n-1)d][/tex]
n is the number of terms
a is the first term of the sequence
d is the common difference
Given parameters
n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2
Required
Sum of the first seven terms of the sequence
[tex]S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70[/tex]
The sum of the nth term of the sequence will be;
[tex]S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)[/tex]
The sigma notation will be expressed as [tex]\sum\left {{7} \atop {1}} \right -n(3+n)[/tex]. The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.
Each coffee pot hold 6 cups of coffee we sell 10 cups of coffee every fifteen minutes how many pots of coffee do I need to make in an hour?
Answer:
7 pots of coffee (If you want to be precise its 6 2/3)
Step-by-step explanation:
So basically you need 10 cups of coffe in fifteen minutes, so 60/15=4 then time 10. so 40 is how much coffee you need in a hour, but we are solving the pot so 40/6= 6 2/3. but it says how many pots so we round it up so its 7. (Unless you wanna be precise)
Watch help video
Which value of x satisfies the equation
Answer:
-1
Step-by-step explanation:
1.25(x+1.5)=0.625
(x+1.5)=0.5
x=-1
What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
and a base diameter of 16 centimeters? Round to the nearest tenths place
Answer:
1608.5 cm³
Step-by-step explanation:
Use the cylinder volume formula, V = [tex]\pi[/tex]r²h
If the diameter is 16 cm, then the radius is 8 cm.
Plug in the radius and height into the formula, and solve:
V = [tex]\pi[/tex]r²h
V = [tex]\pi[/tex](8)²(8)
V = [tex]\pi[/tex](64)(8)
V = 1608.5
So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³
Given TS¯¯¯¯¯¯¯ and TU¯¯¯¯¯¯¯ are midsegments, PR=18.2, TS=6.5. Find QU . A. 9.1 B. 3.25 C. 13 D. 6.5
Answer:
The correct option is;
D. 6,5
Step-by-step explanation:
TS and TU are midsegments
Segment PR = 18.2
Segment TS = 6.5
Given that TS is the midsegment of PR and PQ, therefore, TS = 1/2×QR
Which gives;
Segment QR = 2×TS = 2 × 6.5 = 13
Segment QR = 13
Given that TU is a midsegment to PQ and QR, we have that QU = UR
Segment QR = QU + UR (segment addition postulate)
Therefore, QR = QU + QU (substitute property of equality)
Which gives;
QR = 2×QU
13 = 2×QU
Segment QU = 13/2 = 6.5
The length of segment QU is 6.5.
What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x-1
Answer:
[tex]\displaystyle \boxed{y = -1\frac{1}{3}x + 22}[/tex]
Step-by-step explanation:
Parallel Equations have SIMILAR RATE OF CHANGES [SLOPES], so keep [tex]\displaystyle -\frac{4}{3}[/tex]as is and do this:
14 = −4⁄3[6] + b
14 = −8 + b
+ 8 + 8
_________
[tex]\displaystyle 22 = b \\ \\ y = -1\frac{1}{3}x + 22[/tex]
I am joyous to assist you at any time.
HURRY ASAP 80 (I NEED THIS ANSWER BY TONIGHT OR TOMORROW)
Discussion Topic
Is there more than one way to find the slope of a line? If so, describe both methods of solving for slope.
Answer:
yes there are more than one ways to find slope of a line.
Step-by-step explanation:
When both the points are given of same line we may use formula to find slope.
If equation of line is given we can convert it into slope intercept form and then we can find slope.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The median of the upper half of the data set is the _____________.
A. First quartile
B. Second quartile
C. Third quartile
D. Fourth quartile
Answer:
the answer is A
I think so
Find the missing side. PLEASE HELP FAST !
Answer:
It is 28.5m. Hope this helps!! Have a good day..
HELP PLEASE!!! What is the vertex of the parabola generated by the function
f (x) = 2x^2 - 4x + 3 ?
Answer:
VERTEX: (1,1) Directrix: Y=0.88
Step-by-step explanation:
Answer:
vertex = (1, 1 )
Step-by-step explanation:
Given the equation of a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = 2x² - 4x + 3 ← is in standard form
with a = 2 and b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1
Substitute x = 1 into f(x) for corresponding y- coordinate of vertex
f(1) = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1
vertex = (1, 1 )
is 1 whole 1 by 3 considered as an integer??
Answer:
No it's not.
Step-by-step explanation:
[tex]1 \frac{1}{3} = \frac{4}{3} = 1.333333[/tex]
Integers are set of numbers consisting
Whole numberNatural numberNegative numbersIt doesn't consist
Fractions &DecimalsHope this helps ;) ❤❤❤
Answer:
[tex]\boxed{\sf No}[/tex]
Step-by-step explanation:
[tex]\displaystyle 1 \frac{1}{3} =1.3333333...[/tex]
Integers are whole numbers that can be positive or negative. Integers do not include fractions and decimals.
7.006 x 10^-3 in standard notation
Answer:
7.006*10⁻³ = 0.007006
Step-by-step explanation:
7.006*10⁻³ = 0.007006
Answer it please ↓↓
Fubuki drives 18.4 miles in 16 minutes. He passes a sign which gives the speed limit as 60 mph. By how much, in mph, did Fubuki's average speed exceed the speed limit?
Step-by-step explanation:
hope this helps to u......
The point A,B,C and D represent the complex number Z1,Z2,Z3 and Z4 and O is the origin. If OABC is a parallelogram, and Z1=1+3i and Z2=4+5i, find Z3
Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is [tex]5+ 8i[/tex]
Given that:
[tex]Z_1 = 1 + 3i[/tex]
[tex]Z_2 = 4 + 5i[/tex]
Since O is the origin, then:
[tex]C = OA + OB[/tex]
This means that:
[tex]Z_3 = Z_1 + Z_2[/tex]
So, we have:
[tex]Z_3 = 1 + 3i + 4 + 5i[/tex]
Collect like terms
[tex]Z_3 = 1 + 4+ 3i + 5i[/tex]
[tex]Z_3 = 5+ 8i[/tex]
Hence, complex number Z3 is [tex]5+ 8i[/tex]
Read more about complex numbers at:
https://brainly.com/question/18509723
how do i solve this ?(x+3)(x-5)=
[tex](x+3)(x-5)=x^2-5x+3x-15=x^2-2x-15[/tex]
Answer:
Step-by-step explanation:
Use FOIL method
(x + 3)(x - 5) = x*x + x *(-5) + 3*x + 3*(-5)
= x² - 5x +3x - 15 {add like terms}
= x² - 2x -15
can i please have help please?? Is 32,120 equal to 3.212×10 to the 4 power?
Answer:
Yes
Step-by-step explanation:
3.212 x 10^4
=> 3.212 x 10000
=> 32.12 x 1000
=> 321.2 x 100
=> 3212 x 10
=> 32120 x 1
=> 32120
Answer:
Yes
Step-by-step explanation:
In scientific notation, the power is the number of times you move the decimal place to the right.
3.212 x 10^4 is equivalent to 32,120 when you move the decimal place 4 times to the right.
So, 32,120 is equivalent to 3.212 x 10^4
X-5y=-15x−5y=−15x, minus, 5, y, equals, minus, 15 Complete the missing value in the solution to the equation. (-5,(−5,left parenthesis, minus, 5, comma ))
Answer:
The missing value is 2. The coordinate will be (-5, 2)Step-by-step explanation:
The question is not properly written. Find the correct question below.
If x – 5y = -15 . Complete the missing value in the solution to the equation (-5, ____)
Let the coordinate of the variables be (x, y). Comparing the coordinates (x, y) with the given coordinate (-5, __), we will discover that x = -5. To get the y coordinate, we will substitute x = -5 into the given expression as shown;
If x – 5y = -15
-5 - 5y = -15
Adding 5 both sides
-5-5y+5 = -15+5
-5y = -10
Dividing both sides by -5;
-5y/-5 = -10/-5
y = 2
Hence the missing value in the solution of the equation is 2. The coordinate will be (-5, 2)
Answer:
2
Step-by-step explanation:
I did the khan :)
25 POINTS! FIRST TO ANSWER ****CORRECTLY**** GETS BRAINLIEST!
What number should be placed in the box to help complete the division calculation?
Numerical Answers Expected!
Answer:
The answer to your question is given below.
Step-by-step explanation:
To divide 2635 by 17 using long division method, we simply do the following:
2635 ÷ 17
17 can not go into 2. Therefore, we try 17 into 26, keeping 35 constant.
26 ÷ 17 = 1
Put the 1 on top.
Multiply 17 by 1
17 x 1 = 17
Subtract 17 from 26
26 – 17 = 9
Put the 9 in from of 35 to become 935
Next:
935 ÷ 17
17 can not go into 9. Therefore, we try 17 inot 93 keeping 5 constant.
93 ÷ 17 = 5
Put the 5 on top together with the 1 to become 15.
Multiply 17 by 5
17 x 5 = 85
Subtract 85 from 93
93 – 85 = 8
Put the 8 in front of 5 to become 85
Next:
85 ÷ 17
17 can not go into 8. Therefore, we try 85
85 ÷ 17 = 5
Put the 5 on top together with 15 to become 155
Multiply 17 by 5
17 x 5 = 85
Subtract 85 from 85
85 – 85 = 0
Since no number is remaining, we shall stop here.
Therefore,
2635 ÷ 17 = 155
Please attached photo for further details.
Write the event as set of outcomes. When we roll two dice, the total showing is eight.
A. {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}
B. {(2, 6), (3, 5), (4, 4)}
C. {(2, 6), (3, 5), (5, 3), (6, 2)}
D. {(1, 7), (2, 6), (3, 5), (4, 4), (5, 3), (6, 2), (7, 1)}
Explanation:
We simply list each possible choice in the form (x,y) where x is the result of the first die and y is the result of the second die.
The sum must be 8 so x+y = 8.
Choice A is the complete list showing all possible sums of 8.
Choice B is missing (5,3) and (6,2).
Choice C is missing (4,4)
Choice D shows (1,7), but 7 isn't a valid roll of a six-sided die.
State the leading coefficient of -9x^5+3x^2+3-7x+10x^3
Answer:
-9
Step-by-step explanation:
We need to write the terms from highest power to smallest power
-9x^5+10x^3+3x^2-7x+3
The leading coefficient is the number in front of the highest power
-9
Answer:
-9
Step-by-step explanation:
In a polynomial, the leading coefficient is the coefficient to the variable with the largest exponent.
In this polynomial, the variable with the largest exponent is x^5.
The leading coefficient is the number in front of the variable. In this case, the leading coefficient is -9.
So, the leading coefficient is -9.
the sum of two numbers A and B is 25. if one fourth of A is 1 more than one third of B, find the number A.
9.
For which discriminant is the graph possible?
A. b2 – 4ac = 3
B. b2 – 4ac = –4
C. b2 – 4ac = 0
Answer:
C. b2 – 4ac = 0
Step-by-step explanation:
What is the 1st mistake...
Answer:
[tex]\huge\boxed{Step \ 3}[/tex]
Step-by-step explanation:
In Step # 3, We need to divide rather than to subtract. So, the first mistake is done in step 3.
Answer:
[tex]\Large \boxed{\mathrm{Step \ 4}}[/tex]
Step-by-step explanation:
[tex]20 +20 \div 4-2[/tex]
Division should be performed first, not subtraction.
[tex]20+5-2[/tex]
The average month end closing stock price for Company A over the past year is $34.57 with a standard deviation of $4.65. The average month end closing stock price for Company B over the same period is $26.15 with a standard deviation of $7.45. Based on this data, we can conclude that the stock price for Company A is more consistent when compared to the stock price for Company B.
a) true
b) false
Answer:
a) true
Step-by-step explanation:
$4.65. >$7.45.
Divide a 6 and 3/4 inch line into three parts so that each part is 1/4 inch shorter than the one before it.
Answer:
Hey there!
x+x+1/4+x+2/4
3x+0.75=6.75
3x=6
x=2
The lines are 2, 2 1/4, and 2 2/4.
Let me know if this helps :)
The three numbers or parts are 2 , 2 1/4 and 2 1/2
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be n = 6 3/4
Now , for the number to be divided into three parts where each number is 1/4 shorter than the one before it ,
Let the first divided number be = x
So , the second number will be 1/4 more than the first number
Second number = x + 1/4
And , the third number will be 1/4 more than the second number
Third number = x + 1/4 + 1/4
= x + 2/4
= x + 1/2
Now, the equation will be
The sum of all three numbers = 6 3/4
So ,
x + ( x + 1/4 ) + ( x + 1/2 ) = 6 3/4
3x + 3/4 = 6 3/4
Subtracting 3/4 on both sides , we get
3x = 6
x = 2
Substituting the values of x in the equation , we get
First number = 2
Second number = 2 1/4
Third number = 2 1/2
Hence , the three numbers or parts are 2 , 2 1/4 and 2 1/2
To learn more about equations click :
https://brainly.com/question/10413253
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What is the simplest form of this expression? 3x(-x2 + 2x + 12)
Answer:
-3x³ + 6x² + 36x
Step-by-step explanation:
3x(-x² + 2x + 12)
3x*-x² + 3x*2x + 3x*12)
-3x³ +6x² + 36x
y is inversely proportional to x². When x=4, y=7.5 Find y when x=5 (i also forgot the symbol for directly and inversely proportional and i'm pretty sure there is one)
Answer:
y = 4.8
Step-by-step explanation:
Given that y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion
To find k use the condition when x = 4, y = 7.5 , then
7.5 = [tex]\frac{k}{4^2}[/tex] = [tex]\frac{k}{16}[/tex] ( multiply both sides by 16 )
k = 16 × 7.5 = 120
y = [tex]\frac{120}{x^2}[/tex] ← equation of proportion
When x = 5 , then
y = [tex]\frac{120}{5^2}[/tex] = [tex]\frac{120}{25}[/tex] = 4.8
s
If point C is between points A and B and AB = 41, AC = 5x, BC = 3x – 7,
what is the value of x?
I NEED HELP ASAP
Answer:
x=6
Step-by-step explanation:
We know that point C is in the middle of point A and point B.
That means that when these two equations are added they should be equal to the length of AB which is 41.
5x+3x-7=41
add 7 to both sides
8x=48
divide both sides by 8.
x=6
please see the photo and answer the quastion
Answer:
A.
Step-by-step explanation:
I used a graphing calculator to check
Answer:
A
f(x)=(x+2)/(x+1)
Let ε = {5,6,7,8,9}, A = {x | x >7} and B = {5,6} Find
1. P(A’)
2. P(A) U P(B)
3. P(A) ∩ P(B)
4. P(A ∩ B)
Answer:
A={x| x>7} = 8,9
B= {5,6}
1,
2,{5,6,8,9}
3,{}
4{}
Factor - 3x - 28
ax² + bxtc
Identify the values that should be written to
complete the X diagram.
On the top:
On the bottom:
On the sides
ас
Rewrite the expression using the numbers on the
sides of the X diagram.
Use double grouping to factor the four terms.
x2 – 3x – 28
x2 – 3x – 28 = (x-7)(x+4)
Answer:
On the top:-28
On the bottom: -3
On the sides: -7 and 4
X2-3x-28=(x-7)(x+4)
Step-by-step explanation: I got it correct on Edge