Answer:
- 340
Step-by-step explanation:
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] ( a + l ) → a is the first term and l the last term
Here a = - 76 and [tex]S_{45}[/tex] = - 9360 , thus
[tex]\frac{45}{2}[/tex] ( - 76 + l ) = - 9360
22.5(- 76 + l) = - 9360 ( divide both sides by 22.5 )
- 76 + l = - 416 ( add 76 to both sides )
l = - 340 ← the last term in the sequence
3. Which numbers are rational?
a. Square root of 81
b. Square root of 50
c.-12
d. 0
e. 12/5
f. 6.54
Answer:
i wanna say its C,D,E,F but i get rational and irrational mixed u0
-26 - 4m = -2(2m + 13)
Answer:
Your answer would equal the same on the other side.
-26-4m=-4m-26
if you minus 26 from both sides youll have -4m on both sides also. So it would equal. So you have an Equaled equation if that makes sense.
How do you simplify 8z • 6z
Answer:
its really simple
Step-by-step explanation:
since you dont know z you would just multiply them so you would get 48z
but since you dont know what z is i believe its 48z^2 or just 48z
you want to know the number of minutes that you can use on a $35 phone card. The card company charges $0.25 for the card and $0.10 for each minute used. The equation $0.25 + $0.10m= $35.00, where m is the number of minutes on the card, represents this situation. Solve the equation.. If necessary, round your answer to the nearest hundredth
I need help with how to solve this
Answer:
[tex]-\dfrac{5\sqrt{11}}{11}[/tex]
Step-by-step explanation:
Use the relationship between the various trig functions.
[tex]\tan{\theta}=\dfrac{\sin{\theta}}{\cos{\theta}}=\dfrac{\left(-\dfrac{5}{6}\right)}{\left(\dfrac{\sqrt{11}}{6}\right)}=-\dfrac{5}{\sqrt{11}}\\\\=-\dfrac{5}{\sqrt{11}}\cdot\dfrac{\sqrt{11}}{\sqrt{11}}=\boxed{-\dfrac{5\sqrt{11}}{11}}[/tex]
A rectangle has a perimeter of twenty units, what are the coordinates of the two vertices
Answer:
The coordinates of two of the vertices are (0, 0) , (6, 0).
Step-by-step explanation:
I have no idea how to explain this but I'm pretty sure this should be the answer.
You pack sandwiches for a mountain hike with your friends. each sandwich takes 2 slices of bread, and you pack 3 sandwiches for each hiker. how many slices of bread are used for n hikers? write your answer as an expression.
2*3n would be the equation.
Solve The below equation h-35=107
options
1. h=29
2. h=142
3. h=51
4. h=97
HELP
Jimmy is 5 years older than Sally. Write an
expression for Jimmy's age if Sally is x years
old.
Answer: = x+5
Step-by-step explanation:
Jimmy is 5 years older than sally and sally is know as x
= x+5
If Sally is 10
Jimmy will be 10+5= 15 years old
~~~inuola1234
find the ratio if y:x if 3x=11y
Answer:
11:3
Step-by-step explanation:
For every 11 y there is 3x
the perimeter of a rectangle is 48. The length is 2x and the width is twice the length. Find the length and the width.
Please answer!!!
Hope it helped
Thank YouWrite the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator
24 min to 64 min
Answer: 3/8
Step-by-step explanation:
24 min to 64 min as a fraction is [tex]\frac{24}{64}[/tex]
Now write the fraction is simplest form by dividing it by their greatest factor.
The GCF of 24 and 64 is 8
24/8 = 3
64 /8 = 8
So the ratio will be 3/8
Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. Passing through -3, -6) and parallel to the line whose equation is y=-4x+1
Step-by-step explanation:
Hey there!
The equation of a st.line passing through point is;
(y + 6) = m1(x+3).........(i). [ Use one point formula]
y = -4x + 1............(ii)
Comparing 2nd equation with y = mx+c, we get;
Slope (m2) = -4.
For parallel lines;
[tex]m1 = m2[/tex]
(i.e m1=m2 = -4)
Putting value of slope in 1st equation,
[tex](y + 6) = - 4(x + 3)[/tex]
Smplify them to get equation.
[tex](y + 6) = - 4x - 12[/tex]
[tex]y = - 4x - 12 - 6[/tex]
[tex]y = - 4x - 18[/tex]
Therefore the required equation is y = -4x-18.
Hope it helps..
A room is 12 m long and 8 m wide and 10 m high, find the area of the room.
Answer:
96 square meters
Which value is equivalent to 7 x 5 x 2 divided by 7 x 3 to the 2nd power x 5 to the 0 power divided by 2 to the negative 3rd power x 2 to the negative 9 power
Answer:
This is hard to read, but i guess that the equation is:
[tex]7*5*2/7*3^2*5^0/2^{-3}*2^{-9}[/tex]
So we have some things to solve:
First, for any number:
x^0 = 1
then 5^0 = 1.
And for negative powers,
x^-n = (1/x)^n.
And we
Then we can rewrite our equation as:
[tex]\frac{7*5*2*3^2*1*2^3}{7*2^9}[/tex]
now we can cancel the seven in the numerator and the denominator
[tex]\frac{5*2*3*2^3}{2^9}[/tex]
now, remember the relation:
a^x*a^y = a^(x+y)
then:
2*2^3 = 2^4
and 2^4/2^9 = 2^-5 = (1^2)^5
Then our equation is:
[tex]\frac{5*3}{2^5}[/tex]
15/2^5 = 0.46875
2.3 PAP Biconditional Statements
Question 4
True, False, or not enough information
I will get sick iff I eat 15 big macs.
Your answer:
True
False
Not enough info
Answer:
true
Step-by-step explanation:
because no one can eat that many big macs
On Gabriela’s first birthday, her parents gave her a $50 savings account. On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year. Complete the recursive definition for the sequence that represents this situation by finding the values for a1 and d. Calculate the total amount Gabriela’s parents will have deposited into the account on her birthdays by her 18th birthday.
Answer: [tex]a_1=50,d=25[/tex] and $475 deposited into the account on her birthdays by her 18th birthday.
Step-by-step explanation:
It is given that, on Gabriela’s first birthday, her parents gave her a $50 savings account.
Initial term : [tex]a_1=50[/tex]
On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year.
Common difference : [tex]d=25[/tex]
It forms an AP: 50,75,100,...
nth term of an AP is
[tex]a_n=a_1+(n-1)d[/tex]
Substitute [tex]a_1=50[/tex] and [tex]d=25[/tex] in the above formula.
[tex]a_n=50+(n-1)25[/tex]
It represents the amount deposited into the account after n birthdays.
We need to find the amount by her 18th birthday.
Put n=18 in the above equation.
[tex]a_{18}=50+(18-1)25[/tex]
[tex]a_{18}=50+(17)25[/tex]
[tex]a_{18}=50+425[/tex]
[tex]a_{18}=475[/tex]
Therefore, $475 deposited into the account on her birthdays by her 18th birthday.
We are to calculate total amount given to Gabriela on her 18th birthday
Total amount Gabriela’s parents will have deposited into the account on her birthdays by her 18th birthday is $475
Amount given to her on her first birthday = $50
Additional amount given to her each year = $25
number of years, n = 18
a1 = $50
d = $25
n = 18
Sum = a1 + (n - 1)d
= 50 + (18 - 1)25
= 50 + (17)25
= 50 + 425
= 475
sum = $475
Read more:
https://brainly.com/question/24321873
5. In a sprint to the finish, a professional cyclist travels 380 meters in
20 seconds.
a. At that rate, how far does the
cyclist travel in 3 seconds?
meters
seconds
320
20
1
3
Answer:
48 metres.
Step-by-step explanation:
How far does the cyclist travel in 3 seconds:
First, find how far the cyclist goes in 1 second:
320 metres = 20 seconds
? = 1 second
320 ÷ 20 = 16 metres
The cyclist travels 16 metres in 1 second.
How far does the cyclist travel in 3 seconds:
1 second = 16 metres
3 seconds = ?
16 × 3 = 48 metres.
The cyclist travels 48 metres in 3 seconds.
Patric made a simple sugar solution using 3 parts sugar and 4 parts water. Thomas made a sugar solution using 6 parts sugar and 7 parts water. Whose solution was more sugary. Explain. Pls h
Answer: thomas
Step-by-step explanation:
because patrick’s is 75% sugar and thomas’s is more
Answer:
Step-by-step explanation:
3:4= patrick 6:7= Thomas
=3/4 =6/7
=0.75 =about 0.86
= 75% = 86%
Thomas’ is more sugary.
What is 10 (x - 1.7) = -3
pls help will give u brainliest!!
66.7 - 6 x 14 + 99 x -6 = ?
Answer:
? = -611.3
I used a calculator.
hope this helps
Help me
The digit 1 in witch number represents a value of 1 tenth?
A.2.916
B.718
C.5108
At the beginning of spring, Anthony planted a small sunflower in his backyard. When it was first planted, the sunflower was 20 inches tall. The sunflower then began to grow at a rate of 1.5 inches per week. How tall would the sunflower be after 6 weeks? How tall would the sunflower be after ww weeks?
Answer: The sunflower be 50 inches tall after 6 weeks.
Total height of sunflower in w weeks = 20+1.5 w,
Step-by-step explanation:
Given: In the beginning, the sunflower was 20 inches tall.
The sunflower then began to grow at a rate of 1.5 inches per week.
Then, total height of sunflower in 6 weeks = 20+1.5 ×20, where 1.5 ×20= growth in 6 weeks
= 20+30
= 50 inches
So, the sunflower be 50 inches tall after 6 weeks.
Let w = number of weeks, then
Total height of sunflower in w weeks = 20+1.5 w, where 1.5 w= growth in w weeks.
Answer: 29
1.5w+20
Step-by-step explanation:
What is the solution for x in the equation?
9x - 20 - 4x = 40
ܪ
: 4
o
12
O
1
12
Answer:
x = 12
Step-by-step explanation:
Move numbers and variables on opposite sides and flip the signs
9x - 4x = 20 + 40
Add and subtract
5x = 60
Divide and multiply
x = 60/5
x = 12
pleas help I need both answers please and thank you
Answer:
17-4=13
13+3=16
16+6=22
Step-by-step explanation:
so it in the 22nd floor
Answer:
17 - 4 +3 +6= 17 +5= 22It is on 22nd floor.
HELP PLS I NED THIS LUV U GUUS
Answer:
[tex](x-h)^{2} + (y-k)^{2} = r^{2}[/tex]
Step-by-step explanation:
Convert the repeating decimal to an improper fraction or mixed number. Include your work in your final answer. \(3.\overline{152}\)
Answer:
Assuming the repetitive part is 152, i.e. the original repeating decimal is
A=3.152152152....
then
1000A=3152.152152152152....
subtract A
1000A-A=3152.152152....-3.152152152....
999A=3149
A=3149/999=3+152/999=3 152/999
Therefore
3.152152152.... = 3149/999 or 3 152/999
Answer:
still need help?
Step-by-step explanation:
What is the probability of rolling a standard die twice and getting
an odd
number, then 4?*
Answer:
the answer is 4/6 or 66.7% is the probability
An aquarium has dimensions 2x feet, (x – 1) feet, and (x + 2) feet. The aquarium volume must be no more than 280 cubic feet.
Answer:
[tex]x^3+x^2-2x\leq140[/tex]
Step-by-step explanation:
This is an algebra problem, and we are expected to inequality for the volume of the aquarium.
Given that the
length= 2x
width=(x – 1)
heigth= (x + 2)
and the volume= 280 ft^3
the inequality expression for the volume is
[tex]2x*(x -1) * (x + 2) \leq 280\\\\[/tex]
open the brackets
[tex]2x*(x -1) * (x + 2) \leq 280\\\\(2x^2-2x)*(x+2)\leq 280\\\\\2x^3+4x^2-2x^2-4x\leq 280\\\\\2x^3+2x^2-4x\leq280[/tex]
divide through by 2 we have
[tex]x^3+x^2-2x\leq140[/tex]
Answer:
(1, 5]
Step-by-step explanation:
