Answer:
-12960
Step-by-step explanation:
The formula for the sum of terms =
Sn = n/2[2a + (n - 1) d]
n = number of terms = 80
The given sequence =
1, -3, -7, -11, ...
a = First term = 1
d = common difference
= Second term - First term
= -3 - 1
= -4
Therefore, the sum of the first 80 terms:
S80 = 80/2[2 × 1 + (80 - 1)]-4
= 40[2 + 79]-4
= 40 × 81 × -4
= -12960
The sum of the first 80 terms = -12960
Help me please and show work and this is geometry
Answer:
-433
Step-by-step explanation:
Step 1: Define
-5(4 + 9s) - 7(4q - 6)
s = 7
q = 5
Step 2: Simplify expression
Distribute: -20 - 45s - 28q + 42
Combine like terms: -45s - 28q + 22
Step 3: Substitute
-45(7) - 28(5) + 22
Step 4: Evaluate
-315 - 140 + 22
-445 + 22
-433
Write the expression as the sine cosine or tangent of an angle calculator.
Answer:
hello your question is incomplete here is the complete question
write the expression as the sine, cosine, or tangent of an angle.
[tex]sin 60 cos 15 + cos 60 sin 15[/tex]
answer : [tex]sin 60 cos 15 + cos 60 sin 15 = sin 75[/tex]
Step-by-step explanation:
To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity
[tex]sin 60 cos 15 + cos 60 sin 15[/tex] can be represented in the form of ;
sin( u + v ) = sin u cos v + cos u sin v --------- (1)
comparing equation 1 with the given expression
u = 60 and v = 15
therefore writing the expression in the form of the sine of an angle would be the answer
= sin( 60 + 15 ) = sin 60 cos 15 + cos 60 sin 15
hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15
help me asap!!!!!!!!?!??
Answer:
9.225 x 10^18 is what it is in standard form
Step-by-step explanation:
Answer:
ummm, it should be 9,225,000,000,000,000,000. =D
Step-by-step explanation:
move the decimal at the end of my answer, over to the left 18 spaces, and it should end up back at 9.225!
Write the value of k for which the system of equations x+y-4=0 and 2x+ky-3=0 has no solution.
A. k=2
B. k=-2
C. k=1/2
D. k=-1/2
Do this.... Well it is easy.....
if you done this one I will ask question from physics
Thank You.... ✧༺♥༻✧
Answer:
c k=1\2......................
PLEASE ANSWER ILL GIVE YOU BRAINLIST AND A THANK YOU! Question: 20.155 rounded to the nearest tenth
It wont let me just put the number
20.2
Answer:
20.2
Step-by-step explanation:
because 155 can be rounded to 200 and you can take the zeros off
Rewrite the expression 10 to the -3 power
Answer: 0.001 or 1/1000
Since it is a negative exponent and -3 so it is in the thousandths, so 1/1000 or 0.001.
Have a good day! : )
If f(x)=-2x-3 find the value f(4y)
Answer:
f(4y) = -8y - 3
Step-by-step explanation:
Step 1: Define variables
f(x) = -2x - 3
f(4y) = x = 4y
Step 2: Plug in x = 4y
f(4y) = -2(4y) - 3
f(4y) = -8y - 3
5x23x2 use properties to find the sum or protuct
Answer:
230
Step-by-step explanation:
use the multiplication property, it doesn't matter what wa ugh you do it because multiplication is on both sides
Determine the largest integer value of x in the solution of the following inequality. -5X - 9 > 13
Answer:
X<-4.5
Step-by-step explanation:
firstly group like terms ,You divide both side by -5 and the answer was -4.5
Write an equation for the description The difference between a number x and 18 is 21.
Answer:
x - 18 = 21
Step-by-step explanation:
In math, the description, "the difference between p and q" is written as ...
p - q
Then the difference between x and 18 is ...
x - 18
When we say that "is 21", we mean it is equal to 21:
x - 18 = 21
Write an inequality that represents the missing dimension x
.
The area is less than 42 square meters.
An inequality is .
*see the figure referred to in the attachment below.
Answer:
x < 14
Step-by-step explanation:
The figure given is a triangle with base (b) = x, and height (h) = 6 m.
We are told that the area is less than 42 m². To write an inequality that represents the base (b) = x, let's find the area of the triangle and create an inequality statement.
Area of ∆ = ½*b*h = ½*x*6
Area = x*3 = (3x) m²
The area is less than 42 m², as stated in the question. Which means, the inequality statement would be:
3x < 42
Divide both sides by 3
3x/3 < 42/3
x < 14
The inequality representing the missing dimension (the base) is x < 14
Solve each equation. Check your solutions.
5 - 3|2 + 2w|= -7
Answer:
[tex]w=1\text{ or } w=-3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5-3|2+2w|=-7[/tex]
First, subtract 5 from both sides:
[tex]-3|2+2w|=-12[/tex]
Divide both sides by -3:
[tex]|2+2w|=4[/tex]
Definition of Absolute Value:
[tex]2+2w=4\text{ or } 2+2w=-4[/tex]
Divide both sides of the equation by 2 for both equations:
[tex]1+w=2\text{ or } 1+w=-2[/tex]
Subtract 1 from both sides:
[tex]w=1\text{ or } w=-3[/tex]
And we're done!
To check:
[tex]5-3|2+2(1)|=-7[/tex]
Multiply:
[tex]5-3|2+2|=-7[/tex]
Add:
[tex]5-3|4|=-7[/tex]
Multiply:
[tex]5-12=-7[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{=}-7[/tex]
And:
[tex]5-3|2+2(-3)|=-7[/tex]
Multiply:
[tex]5-3|2-6|=-7[/tex]
Subtract:
[tex]5-3|-4|=-7[/tex]
Absolute Value:
[tex]5-3(4)=-7[/tex]
Multiply:
[tex]5-12=-7[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{=}-7[/tex]
Someone please help fast, I am really lost with the law of logarithms and need help with these questions in picture
We'll use the following log rules
Log rule 1: log(xy) = log(x)+log(y)Log rule 2: log(x/y) = log(x)-log(y)Log rule 3: log(x^y) = y*log(x)================================================
Part 1
Answer: 2a + 2c-------------
Work Shown:
Ln(100) = Ln(4*25)
Ln(100) = Ln(2*2*5*5)
Ln(100) = Ln(2)+Ln(2)+Ln(5)+Ln(5) ... using log rule 1
Ln(100) = a+a+c+c
Ln(100) = 2a + 2c
================================================
Part 2
Answer: 2a + b - c-------------
Work Shown:
Ln(2.4) = Ln(24/10)
Ln(2.4) = Ln[ (2*2*2*3)/(2*5) ]
Ln(2.4) = Ln[ (2*2*3)/5 ]
Ln(2.4) = Ln(2*2*3) - Ln(5) ... using log rule 2
Ln(2.4) = Ln(2)+Ln(2)+Ln(3) - Ln(5) .... using log rule 1
Ln(2.4) = a+a+b-c
Ln(2.4) = 2a+b-c
================================================
Part 3
Answer: -3a + b - 3c-------------
Work Shown:
Ln(0.003) = Ln(3/1000)
Ln(0.003) = Ln[ 3/( 10^3) ]
Ln(0.003) = Ln(3) - Ln(10^3) ... log rule 2
Ln(0.003) = Ln(3) - 3*Ln(10) ... log rule 3
Ln(0.003) = Ln(3) - 3*Ln(2*5)
Ln(0.003) = Ln(3) - 3*( Ln(2) + Ln(5) ) ... log rule 1
Ln(0.003) = b - 3*( a + c )
Ln(0.003) = b - 3a - 3c
Ln(0.003) = -3a + b - 3c
================================================
Part 4
Answer: 3a + 3b + 2c-------------
Work Shown:
All logs shown for this part are in base 2
log(5400) = log(54*100)
log(5400) = log(6*9*4*25)
log(5400) = log(2*3*3*3*2*2*5*5)
log(5400) = log(2^3*3^3*5^2)
log(5400) = log(2^3)+log(3^3)+log(5^2) ... log rule 1
log(5400) = 3*log(2)+3*log(3)+2*log(5) ... log rule 3
log(5400) = 3a + 3b + 2c
The rose garden’s boundary can easily be turned over to create a mirror image of the garden’s shape. If Vincent reflects the original rose garden across the x-axis, what will the coordinates of the rose garden’s vertices be after the reflection? Use the terms A', B', C', and D'.
Answer: A(3,-6), B(3,-3), C(4,-3), and D(4,-6)
Step-by-step explanation:
Because the rosegarden reflects across the x-axis, the x-coordinates of the vertices with remain the same. However, the sign of the vertices’ y-coordinations will change. The coordinates of the reflective figure will be A(3,-6), B(3,-3), C(4,-3), and D(4,-6).
*edmentum answer*
Which is the slope of the line that passes through 0,-4 and 3,-2
Answer:
The slope is 2/3
Step-by-step explanation:
Slope is the change in Y over the change in X.
ΔY / ΔX (That triangle symbol just means the change)
So subtract y2-y1 then x2-x1
-2-(-4) (the two negatives cancel out to a positive so you are left with -2+4)
then 3-0
-2+4= 2
3-0= 3
2/3
Answer: -2
Step-by-step explanation:
We can find the slope by using
m = (y2-y1)/(x2-x1)
= (-2 -4)/( 3-0)
= -6/3
=-2
Is 2^5 the same as 5^2? Yes or No?
Explain why please help me thank you!!
Answer:
No, they are not equivalent.
Step-by-step explanation:
2^5 means 2 to the 5th power, so we multiply it by itself 5 times.
2x2x2x2x2=32
Same as 5^2
5x5=25
32>25
There is your answer, no.
4. Rewrite the expression using the distributive property.
(7•3) + (7•7)
officials begin to release water from a man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 30 weeks is replenishing the lake at the same time. how many weeks does it take to empty the lake? express you answer as a fraction reduced to the lowest terms, if needed.
Answer:
34²/7
Step-by-step explanation:
Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank
The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16
The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30
¹/16-¹/30= ?
Get the LCM of the denominator which is 240
The fractions are now
15/240-⁸/240=⁷/240
1week=⁷/240 empty
? = 240/240 empty
Cross multiple
240/240×1÷7/240
240/240×1÷240/7=240/7
7÷240=34²/7 weeks
Which rule defines the function in the graph? Two line segments on a coordinate plane that do not meet. The first segment begins at negative 3 comma negative 4, inclusive, and ends at 1 comma zero, non inclusive. The second segment begins at 2 comma 3, inclusive, and ends at 4 comma negative 3, inclusive. Group of answer choices f(x)={ x−1, if −3 ≤ x < 1 f(x)={ −3x+9, if 2 ≤ x ≤ 4 f(x)= { x−1 , if −3 < x ≤ 1 f(x)= {−3x+9 , if 2 < x < 4 f(x)={ x−1, if −3 ≤ x < 1 f(x)={ x−3, if 2 ≤ x≤ 4 f(x)={x−1, if −3 < x ≤ 1 f(x)={x−3, if 2 < x < 4
Answer:
The correct option is;
f(x) = {x - 1 if -3 ≤ x < 1 f(x) = {-3·x + 9, if 2 ≤ x ≤ 4
Step-by-step explanation:
The given coordinates of the points are;
For the first segment
Beginning point [-3, -4] (inclusive)
Endpoint (1, 0), (noninclusive)
For the second segment
Beginning point [2, 3] (inclusive)
Endpoint [4, -3] (inclusive)
The equation of the first segment is therefore;
y - 0 = (0 + 4)/(1 + 3)×(x - 1) = 1 × (x - 1)
y = x - 1
The equation of the second segment is found as follows;
y + 3 = (-3 - 3)/(4 - 2)×(x - 4) = -3 × (x - 4)
y + 3 = -3 × (x - 4) = -3·x + 12
y = -3·x + 12 - 3 = -3·x + 9
Therefore, we have;
f(x) = {x - 1 if -3 ≤ x < 1 and f(x) = {-3·x + 9, if 2 ≤ x ≤ 4
A survey at a bake-off showed that 32% of children chose strawberry cake as their favorite cake. A total of 750 children took the survey. How many children chose strawberry cake
ANSWER = MY ETERNAL LOVE determine an equation of the line which is the perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2). make sure to show all work.
Answer:
Perpendicular Bisector Equation: y = 12x - 9.500
Step-by-step explanation:
Let find out the midpoint for given coordinates as follows:
[(-5+7)/2, (3 +2)/2]
= (2/2, 5/2)
= (1,5/2)
The midpoint coordinates are (1,5/2) means (x1 , y2)
2. Find the slop of line for given coordinates as follows:
(2-3)/(7-(-5)
= -1/12
3. Find the negative reciprocal as follows
-1/12
= 12 (m)
4. Now find the perpendicular bisector equation as follows:
y – y1 = m ( x – x1)
y – 3 = 12 (x – (-5)
y = 12x - 9.5
The required equation of the line is x + 12y = 41 which is the perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2).
What is a perpendicular bisector?A perpendicular bisector is defined as a line that divides an angle into two equal angles.
The perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2).
We have to determine the equation of the line
Let x₁ = -5, y₁ = 3 and x₂ = 7, y₂ = 2
The required of equation line is:
y - y₁ = (y₂ - y₁ )/( x₂ - x₁ )( x - x₁ )
Substitute the values in the formula to get the line,
y - 3 = (2 - 3)/(7 - (-5))(x - (-5))
y - 3 = (-1/12)(x+5)
12y - 36 = -x -5
x + 12y = 41
Thus, the required equation of the line is x + 12y = 41.
To learn more about the equations click here:
brainly.com/question/10413253
#SPJ3
All checked baggage on a particular airline company must not exceed 64 inches or an additional fee is charged.
The size of the baggage is determined by adding length + width + height.
If a bag has a height of 22 inches and a width
that is 16 inches less than the length, what lengths are acceptable for the bag to be checked free of charge?
If the bag is to be checked free of charge. its length must be __ inches or less.
If you get this, you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden?
Good luck!
If you get it correct your answer will be deleted, and l will message you to continue the game. Don't play if you are not going to continue!
Answer:
Step-by-step explanation:
is it 34 because you haven't moved the bodies. however including you there's 35???
This is a simple algebra problem. The answer is 5.
We know that:
Initially, there are 34 people in the garden.
Then you enter, so now there are 35.
Then we lose 30 of these people, so the final number of people in the garden will be: 35 - 30 = 5
Finally, there are 5 people in the garden.
If you want to learn more, you can read:
https://brainly.com/question/19245500
A 34 inch baseball bat is resting 6 inches from the base of a play house as shown how far up on the Playhouse is a baseball bat resting round to the nearest 10th
70.4 is what percent of 88?
Answer:
70.4 is 80% of 88
the radius of a circular playground is 77 metre.Calculate the distance covered by a runner in 5 complete rounds around the ground.
Answer:
2419.0265 meters
Step-by-step explanation:
To find the answer you must first find the circumference of the circle. The circumference formula is C = 2 \pi r. So if you plug in 77 you get 483.8053. Then multiply that by 5 and you will have your final answer.
solve using elimination method
-3x + 5y = 8
-2x + 7 y = -2
x = - 6
y = - 2
Step-by-step explanation:-3x + 5y = 8 | ×(-2)
-2x + 7 y = -2 | ×3
6x - 10y = - 16
- 6x + 21y = - 6
add
6x - 6x - 10y + 21y = - 16 - 6
11y = - 22
y = - 22 : 11
y = - 2
replace y
- 2x + 7(-2) = - 2
- 2x - 14 = - 2
- 14 + 2 = 2x
2x = - 12
x = - 12 : 2
x = - 6
Can someone please help ty!!
Answer:
Try the light blue one, I really just guessing but good luck!!
A bus makes a stop at 2:30 letting off 12 people
What's the question?
Evaluate 7m+2n-8p/n m=4, n=2, and p=1.5 please help me
Answer:
10
Step-by-step explanation:
7(4)+2(2)-8(1.5)/2
28+4-12/2
20/2
10
7m+2n-8p/n
7(4)+2(2)-8(1.5)/2
28+4-12/2
28+4-6
32-6=26