Answer:
[tex]a_{87}=1119[/tex]
Step-by-step explanation:
Arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference between terms and n is the index of any given term.
Find the difference between the terms in the given sequence here:
[tex]14-1=13\\27-14=13[/tex]
Each term has a common difference of 13. Using that, you can write the equation for this sequence:
[tex]a_n=1+(n-1)13[/tex]
Finally, you can use this equation to find the 87th term by plugging in 87 for n:
[tex]a_{87}=1+(87-1)13\\a_{87}=1+(86)13\\a_{87}=1+1118\\a_{87}=1119[/tex]
4/7 + (-6/7) Find the sum. Write fractions in simplest form.
Answer:
i dont know sorry do u know
If a square has a side of 4', what would the area be?
A= s2=sxs
A= 42= 4'x4
A= 16 sq. ft.
Answer:
16 sqft.
Step-by-step explanation:
A=L(W)
A=4(4)
A=16
Hope that helps
Solve the equation. Express radicals in simplest form.
-4k2 - 13 = -77
Can someone please explain this problem to me? i would really really REALLY appreciate it omg
Answer:
f(0) = 3
f(-2) = -15
Step-by-step explanation:
You just have to plug in the value in f(b) into the b of the equation.
So for f(0) --> 2(0)^3 - |0-4| + 7
2(0) - |-4| + 7
0 - 4 + 7 = 3
------------
for f(-2)
2(-2)^3 -|-2-4| + 7
2(-8) - 6 + 7
-16 -6 + 7 = -15
How many lb. of burgers did Mrs. Butterfield make?
Answer:
4 burgers
Step-by-step explanation:
four burgers
If you're making the patties yourself (to save money or because you love making burgers), assume four burgers per pound of meat
List all the factors of 40 from least to greatest. Enter your answer below,
using a comma to separate each factor,
Answer here
TI
SUBMIT
Answer:
1,2,4,5,8,10,20,40
Step-by-step explanation:
Have a nice day
Acellus. please help me
by-step explaAnswer:
by-step epla
Step-nation:
a
When Alex went to work the temperature
was -2°F. When he got home from work the
temperature raised 14°. What was the
actual temperature when he got home from
work?
Please look for the question in the picture.
Answer: The blue dot's value on the number line is 1.
Step-by-step explanation: Each two-skip interval from -7 to -3 is a skip of 4. Therefore, -3 skipped two times is -3 + 4, which equals 1, therefore the blue dot's value on the number line is 1.
what is the solution to the system 3x+2y=-3 and 9x +4y=3
Answer:
x=3, y=-6
Step-by-step explanation:
As you know there are many ways to solve this question! First is Subsitutuion, Second is Elimination, and Third is Graphing!
Let’s begin with our detailed answer:
As you know subsitution is solving for a variable and then it can be used as a variable substitution to figure out x and y.
So in our system of equations:
[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]
I will just take one equation and solve for x but it actually dosent matter which variable you subsitutue and solve for.
[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]
To eliminate this question we can divide the top part by -3:
[tex]\left \ {-9x-6y=9}} \atop {9x+4y=3}} \right.[/tex]
Let‘s sum these system of equation and we get: [tex]y=-6[/tex]
We can now insert y as -6 and solve for x:
[tex]3x-12=-3[/tex]
[tex]x=3[/tex]
So, [tex]x=3, y = -6[/tex]
Answer:
(3, - 6 )
Step-by-step explanation:
3x + 2y = - 3 → (1)
9x + 4y = 3 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 9x - 6y = 9 → (3)
Add (2) and (3) term by term to eliminate x
0 - 2y = 12
- 2y = 12 ( divide both sides by - 2 )
y = - 6
Substitute y = - 6 into either of the 2 equations and solve for x
Substituting into (1)
3x + 2(- 6) = - 3
3x - 12 = - 3 ( add 12 to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
solution is (3, - 6 )
A 67-kilogram cannon fires a 1 kilogram cannonball at 45 m/sec. If the cannon is on wheels, at what speed does it move backward?
Answer:
-1.4 m/sec [backwards]
Step-by-step explanation:
The energy of the cannon moving should be equal to the energy contained in the cannonball. Kinetic energy for each is calculated using KE = (1/2)m[tex]v^{2}[/tex]
Let x be the speed of the cannon.
Cannonball:
KE = (1/2)m[tex]v^{2}[/tex]
KE = (1/2)(1kg)(45 m/sec)^2
KE = 22.5 kg*m/sec^2
Cannon: [The cannon will have the reverse energy]
KE = - (1/2)m[tex]v^{2}[/tex]
22.5 kg*m/sec^2 = -(1/2)(67 kg)x^2
22.5 kg*m/sec^2 = -(33.5 kg)x^2
x^2 = (33.5 kg)/(22.5 kg*m/sec^2)
x^2 = -1.4 m/sec [backwards]
4
Select the correct answer.
What is a unit rate?
OA.
a rate with one in the numerator
OB.
a rate in which the numerator and the denominator are equal
Ос.
a rate with one in the denominator
OD
a rate in which the denominator is greater than the numerator
Answer:
C. A rate with one (1) in the denominator
A unit rate is basically a ratio of something to one.
example:
if 10 bananas costs ten dollars then one banana would cost one dollar.
Step-by-step explanation:
Answer:
A. A rate with one in the numerator
Step-by-step explanation:
We can find the unit rate when given a rate by dividing the unit in the numerator by the quantity in the denominator. For example, if we are given the rate $4.50/5 gallons of milk, we can divide 4.50 by 5 to find the unit price, which is dollars per one gallon of milk. A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
PLEASE HELP ME!!!!!!
B or D so sorry these ones are confusing written like this.
Gave a lovely weekend.
I don’t understand this please help
Answer:
i think BC = 8.5
Step-by-step explanation:
19-(2+6.5+2)
19-10.5
8.5
Solve 3x-5 + x= 31.
09
0-12
O 12
[tex]3x-5 +x = 31\\\\\implies 4x -5 = 31\\\\\implies 4x = 31 +5\\\\\implies 4x = 36 \\\\\implies x =\dfrac{36}4\\\\\implies x = 9[/tex]
Please help me with this please
Giving brainilest! Find the measures
Answer:
the answers are <1 = 118°, <2 = 62°
Answer:
∠ 1 = 118° , ∠ 2 = 62°
Step-by-step explanation:
∠ 1 and 118° are corresponding angles and are congruent, then
∠ 1 = 118°
∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180°
∠ 2 + 118° = 180° ( subtract 118° from both sides )
∠ 2 = 62°
A pet shop offers an iguana for $80 and a parakeet for $40. During a sale, Chris bought the iguana at a 40% discount and the parakeet at a 55% discount. The total amount saved on Chris's new pets was what percent of the total of their original prices?
Answer:
He save 55$+50$ which is 105$
Step-by-step explanation:
total for iguana is 135$ and parakeet is 90$
= 225$
9.
8. © MP.3 Construct Arguments Jake says
adding O to an addend does not change
a sum. Is he correct? Explain. Include an
equation in your explanation.
Jake's Argument is correct, adding zero (0) to an addend does not change a sum.
Addend is number which is added to another number.
For example:
y + 5 = 8
where;
5 is the addend number of y in the equation.Adding zero (0) to an addend does not change a sum. An example is present below;
5 + 3 = 8
add zero (0) to 3 and check if the final result will change;
5 + (3 + 0) = 5 + 3 = 8
Thus, Jake's Argument is correct, adding zero (0) to an addend does not change a sum.
Learn more about addend number here: https://brainly.com/question/654494
What is the definition of correspondence?
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane.
Hope it helps!
Brainliest pls!
Follow me! :)
Answer:
The definition of correspondence is the act of conforming or agreeing with someone or something else. An example of correspondence is when a person acts in the same way she appears to think.
In simple terms, it means communication, generally looking at two things and identifying stuff about them
Hope that helps. x
Solve the system of equations using the substitution method.
S 4x + 5y=7
ly=3x +9
Enter your answers in the boxes.
2
X=
y=
Answer:
x = -2.
y = 3.
Step-by-step explanation:
If y = 3x + 9
Substitute this value for y in the first equation.
4x + 5(3x + 9) = 7
4x + 15x + 45 = 7
19x = 7 - 45
19x = -38
x = -38/19
x = -2.
with this value of x, substitute -2 in the second equation
y = 3(-2) + 9
y = -6+9
y = 3.
check if your values are all correct
4(-2) + 5(3) = 7
-8 + 15 = 15 - 8 = 7
Correct!
Triangle JKL is dilated by a scale factor of 5 to form triangle J'K'L'. Side K'L'
measures 65. What is the measure of side KL?
x^2 + bx - 4 = 0?
What is b equal to?
[tex]\mathfrak{ x ^ { 2 } + b x - 4 = 0} [/tex]
[tex]\mathfrak{bx-4=-x^{2} } [/tex]
[tex]\mathfrak{bx=-x^{2}+4 } [/tex]
[tex]\mathfrak{xb=4-x^{2} } [/tex]
[tex]\mathfrak{\frac{xb}{x}=\frac{4-x^{2}}{x} } [/tex]
[tex]\mathfrak{ b=\frac{4-x^{2}}{x} } [/tex]
[tex]\mathfrak{b=-x+\frac{4}{x} } [/tex]
AnSwEr
[tex]\boxed{\mathfrak{b=-x+\frac{4}{x},x\neq 0 } }[/tex]
ღ ꪑ꠸᥅ꫀꪊ
QUESTION 21 PLEASE HELPPP
Answer:
one solution
Step-by-step explanation:
Since both are y-isolated equation, we can write as:
[tex]\displaystyle \large{6x-2=4x-2}[/tex]
Solve for x, first move 4x to subtract with 6x and -2 to add with -2
[tex]\displaystyle \large{6x-4x=-2+2}\\\displaystyle \large{2x=0}\\\displaystyle \large{x=0}[/tex]
Then substitute x = 0 in any of these equations which we receive y = -2.
And the solution is (0,-2) which only has one solution.
The age melat five times older than the age of hana.In ten years time the ratio of the age of hana to melat is 5:9. find the present age of hana and melat?
Answer:
carbon take x(1)+4(-2)=0
x(1)-8=0
x(1)=8
x=8
Can you solve this? Please ( 15+ points)
Answer:
112+24x
Step-by-step explanation:
2(16+(10*4)+(x*12))
solve the inner bracket
2(16+40+12x)
solve this bracket
2(56+12x)
solve this now
112+24x
Answer:
[tex]24x+112[/tex]
Step-by-step explanation:
First of all we will start with the brackets inside the equation,
1. [tex]2[16+40+12x][/tex]
Now we can multiply 2 by all the values inside the parentheses
2. [tex]32+80+24x[/tex]
I just wanted to confirm that the big X is a variable?
Fact: Did you know that there are about 4 types of parenthese: ( ) - round brackets, [ ] - square brackets, { } - curly brackets, and < > - angle bracket.
Pls help ASAP
Give the domain and range
Answer:
D: {-2, 0, 2}
R: {-1, 1, 3
Which fractions are equivalent to the fraction below? Check all that apply.
5/7
Answer:
A. 10/14
and
C. 15/21
Step-by-step explanation:
A. 10/14
and
C. 15/21
find the probability of making a five digit number form 2,3,4,7,8 in such a way that 7 is the first number and 8 is the last number
Answer:
n(E) = 6
Step-by-step explanation:
That's to say that there are 6 five-digit numbers with 7 in the first place and 8 in the last place, using the digits 2, 3, 4, 7 and 8. Therefore n(E) = 6.
Find the quotient: 7,308 divided by 18. A) 46 B) 406 C) 406 10/18. D) 408
Answer:
7308 / 18
= 406
B is the answer.