Answer:
an = a1 + 6(n-1)
Step-by-step explanation:
a1 = -9, a5= 15, a10 = 45
Since is an arithmetic sequence we only add or subtract something to get to the next term. Since we got from -9 to 15 we know that we must add something and that we add it 4 times the same amount to get from -9 to 15.
a1= -9
a2= -9+6 = -3
a3= -3+6 = 3
a4= 3+6 = 9
a5= 9+6 = 15
We add 6 each time.
The explicit formula is an = a1 + 6(n-1) because
for example a5 = a1 the first term + 6* (5-1) times
a5 = -9 + 6* 4 = -9 + 24 = 15✅
a10 = a1 + 6* (10-1)
a10 = -9 + 6*9 = 45✅
Write numbers in the number grid to make it correct. 4 9 35
15.
(05.04 MC)
Estimate and solve 4,298 ÷ 56 = ________. (1 point)
76 r 42
76 r 8
78 r 42
82 r 8 pls help asap!
Answer:
82 r 8
Step-by-step explanation:
i took the flvs test and its right!
PLEASE HELP I need the answer please
17. <
18.=
19.>
20.>
21.3.021,3.12,3.121,3.21
22. 1.03,1.03,1.3,1.39
23.
help me brain pt Part 1
Given: Circle A externally tangent to Circle B.
How many possible common tangents to circles A and B can exist?
2
3
4
there are only 2 possible common tangents to circles A and B can exist
ok done. Thank to me :>
Answer:
3
Step-by-step explanation:
find two positive numbers A and B with A less than or equal to B whose sum is 52 and whose product is mazimized
Answer:
26 and 26
Step-by-step explanation:
Let's call the two numbers x and 52-x.
Their product is [tex]p(x) = x(52-x)=52x-x^2[/tex]. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point [tex]x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26[/tex] The two numbers are, then 26 and 52-26=26.
Is - 1/2 equivalent to 1/-2
YES
- 1/2 is equivalent to 1/-2
The detailed answer is in the image attached.
Hope it helps you.....
Please mark as Brainlliest!!!
The total length of 5 belts and 3 shoe laces is 4.2 m. The total length of 3 shoe laces is equal to the length of 2 belts
a) Find the length of a belt
b) Find the total length of 7 belts and 2 shoe laces
Answer:
a= 0.84m
b= 7m
i tried my best but im not sure of the answer
Step-by-step explanation:
5x+3y=4.2
2x=3y
x = 4.2-3y/5
2*(4.2-3y/5) = 3y
=1.68/3 = 0.56
y=0.56
2x = 3*0.56
x = 0.84
a) The length of one belt (b) is 0.6 meters, or 60 centimeters.
b) The total length of 7 belts and 2 shoe laces is: 5 meters.
Let the length of one belt be "b" meters, and the length of one shoe lace be "s" meters.
a) Find the length of a belt:
According to the given information, the total length of 5 belts and 3 shoe laces is 4.2 meters. We can express this information as an equation:
5b + 3s = 4.2
b) Find the total length of 7 belts and 2 shoe laces:
The total length of 3 shoe laces is equal to the length of 2 belts. We can express this information as another equation:
3s = 2b
Now, we can use these two equations to solve for the values of "b" and "s."
Step 1: Solve the second equation for "s":
3s = 2b
Divide both sides by 3:
s = (2/3)b
Step 2: Substitute the value of "s" from the second equation into the first equation:
5b + 3((2/3)b) = 4.2
5b + 2b = 4.2
7b = 4.2
Step 3: Solve for "b":
b = 4.2 / 7
b = 0.6
Now that we have the value of "b," we can find the value of "s" using the second equation:
s = (2/3)b
s = (2/3) * 0.6
s = 0.4
To know more about length:
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solve pls brainliest
Answer:
a) -5 meters
b)160°C
Step-by-step explanation:
$6.00 for 3 chocolate bars how many did he pay per bar
Answer:
$2.00
Step-by-step explanation
To solve this problem, divide $6 by 3 bars which is $2 a bar
Answer:
One bar= $2
Step-by-step explanation:
6 is the amount paid, 3 is the amount of bars he got. so to find the amount for one bar you divide, 6÷3= 2
One theme in “Thank You, Ma’am” is that respectful treatment encourages mutual respect. Which passages from the story support this theme?
Select all that apply.
Thank You, Ma’am
He did not trust the woman not to trust him. And he did not want to be mistrusted now.
He did not trust the woman , not, to trust him. And he did not want to be mistrusted now.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
“Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink.
Answer:
Either B. 'The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him' or A. 'He did not trust the woman not to trust him. And he did not want to be mistrusted now.'.
Step-by-step explanation:
Brainliest Please!The passages from the story "Thank You, Ma'am" that support the theme that respectful treatment encourages mutual respect are: "The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him." "The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next." and "Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink." Correct options are 2, 3 and 4.
These passages highlight how the woman treats the boy, Roger, with kindness and respect despite his attempt to steal her purse. Her understanding and respectful treatment lead Roger to reflect on his actions and ultimately decide to follow her guidance. This illustrates how respectful treatment encourages mutual respect between the characters.
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can someone help me please
Answer:
3: 55 degrees
4: 128 degrees
Step-by-step explanation:
A straight line is 180 degrees and so you do 180-125 to get 55 degrees
180-58 is 128 degrees
Please help ‐19 ‐ 7( ‐17z + 13)
Answer: 119z − 110
Step-by-step explanation:
help me with this please! :)
Answer:
108 - 9y
Step-by-step explanation:
9(12 - y)
9(12) - 9(y)
108 - 9y
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
mike bought a 24 pack of mountain dew for $8.40. write and solve an equation to calculate how much each indivdual can soda cost
Answer:
$0.31
Step-by-step explanation:
You need to take the amount of money each pack costs and divide it by the number of cans to find the unit rate. Hope this helps!!
Can someone help me with this please
Answer:
2vx
20ce
30a^2
30xw^2
42m^3n^2
24a^2c^2x^3
7n
8x
6wx
3ac^2
6wx^2
6a^2c
instead of writing ^2/^3 (which means to the power of 2/3), use symbol input which it tells you in the question
2x+7y=5
2x-7y=19
elimanation or substution
Answer:
(6, -1)
Step-by-step explanation:
4x = 24
x = 6
2(6) + 7y = 5
12 + 7y = 5
7y = -7
y = -1
help me please and thank you !
Answer:
I hope this helps.
Write the standard form of the equation of the circle with a radius of 7 and center (2,-4).
(x+2)2+(y-4)2=49
(x-2)2+(y+4)2=49
(x+2)2+(y-4)2=7
(x-2)2+(y+4)2=7
( x - 2 )² + ( y + 4 )² = 49
.........................................
The difference between two numbers is 5, and 2 times the lesser number is 18 more than the greater number. Find the numbers.
Answer:
Let x and y be the numbers, with x the larger one.
x - y = 5
2y = x + 18
Then solve this system of equations:
x - y = 5
x - 2y = -18
Subtract bottom equation from top equation and get
y = 23
So x = y + 5 = 23 + 5 = 28
In a square of side length s, what is the length of a diagonal?
Answer:
[tex]s\sqrt{2}[/tex]
Step-by-step explanation:
This would be the diagonal because the formula for diagonals in a square would be [tex]a\sqrt{2}[/tex], where a is the side length.
PLEASE HELP 60 POINTSSSS
Answer:
x = 6.5 units
Step-by-step explanation:
The 2 given squares are the on the legs of the right triangle with hypotenuse x
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then
x² = 13 + 29.25 = 42.25 ( take square root of both sides )
x = [tex]\sqrt{42.25}[/tex] = 6.5 units
A piano teacher has 4 1/2 hours available to teach each night. One lesson will last 3/4 of an hour. How many lessons can the teacher schedule each night?
Step-by-step explanation:
4 1/2 = 9/2
so, the calculation is simply how often 3/4 fits into 9/2.
and that is done by division :
9/2 / 3/4
and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.
so,
9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6
so, without any breaks the teacher can schedule 6 lessons each night.
HELP ASAP. Dilation scale=2, center (5,4)
Graph the new points
Answer:
3.5
Step-by-step explanation:
Plz helpp
23% of the mix was cadmium. The total weight is 3000 grams. What is the weight of the other constituents?
Answer:
690
Step-by-step explanation:
23% of 3000 is 690 (love your username btw; 2️⃣ Set
7x-15y=2 , x+2y=3 By subtition method
Answer:
([tex]\frac{49}{29},\frac{19}{29}[/tex])
Explanation:
7x - 15y = 2 (1)
x + 2y = 3 (2)
x + 2y = 3
x + 2y - 2y = 3 - 2y
x = 3 - 2y (3)
Substitute (3) to (1)
7x - 15y = 2
7(3 - 2y) - 15y = 2
21 - 14y -15y = 2
21 - 21 - 29y = 2 - 21
-29y = -19
y = [tex]\frac{19}{29}[/tex] (4)
Plug (4) into (2)
x + 2y = 3
x + 2[tex]\frac{19}{29}[/tex] = 3
x + [tex]\frac{38}{29}[/tex] = 3
x = 3 - [tex]\frac{38}{29}[/tex]
[tex]x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}[/tex]
([tex]\frac{49}{29},\frac{19}{29}[/tex])
A mixture of paint calls for 1/3 cups of red paint and 1/2 cup of yellow paint. How many cups of red paint would be needed for every 1 cup of yellow paint?
Step-by-step explanation:
1 cup of yellow paint = 2×1/2 cup.
and that requires then also 2×1/3 Co red paint.
so, 1 cup of yellow paint mixes with 2/3 cups of red paint.
2 and 3 have a smallest common multiple (smallest number that is divisible by both numbers without remainder) of 6.
so, we need to get 6 units of each for a whole number ratio :
6×1/2 = 3 cups of yellow paint mix with 6×1/3 = 2 cups of red paint.
A squirrel burrowed 10 holes in 8 minutes. How many holes could the squirrel burrow in 12 minutes?
Answer:
15
Step-by-step explanation:
Fast and loose: To go from 8 to 12 minutes you're adding half the time (4 minutes). So it has time to burrow only half the holes in the extra time, so 5. Total, 10+5=15.
Crunching numbers: it's a simple proportion:[tex]10:8 = x :12[/tex] from which, cross-multiplying you get [tex]8x=12\times10 \rightarrow 8x=120 \rightarrow x=15[/tex]
a) Solve the system by substitution.
y = 5x – 3
-X – 5y = -11
Answer:
Step-by-step explanation:
the answer 4x-5y +2 = 0. 5y =-4x-2. y = -4x/5 -2/5 slope = -4/5
Answer:
{y,x} = {2,1}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 5x - 3
// Plug this in for variable y in equation [2]
[2] -5•(5x-3) - x = -11
[2] - 26x = -26
// Solve equation [2] for the variable x
[2] 26x = 26
[2] x = 1
// By now we know this much :
y = 5x-3
x = 1
// Use the x value to solve for y
y = 5(1)-3 = 2
hi i need the answer to this now plz
2 divided by 3
plz explain how you got answer like show work