Step-by-step explanation:
21.
1, 2, 4, 8, 16, 31, ... , ....
by using the formula, we can find :
T7 = [7⁴ - 6(7)³ +23(7)² - 18(7) +24] / 24 =
(2401 - 2058 + 1127 - 126 +24) / 24 =
1368/ 24 = 57
T8 = [8⁴-6(8)³+23(8)²-18(8)+24]/24 =
(4096-3072+1472-144+24)/24 =
2376/ 24 = 99
Find the 35th term in the arithmetic sequence 3, 9, 15, 21, …
Answer:
208
Step-by-step explanation:
First term = a = 4
Common difference = d = a2 - a1 = 9 - 3 = 6
35th term = a + (35 - 1)d
4 + (35 - 1)6
4 + (34)6
4 + 204
208
Answer:
207
Step-by-step explanation:
An=A1+(n-1)×R
A35=3+(35-1)×(9-3)
A35=3+34×6
A35=3+204
A35=207
Angle A is three times the size of angle B.
The sum of the angle measures is 128 degrees.
What is the measure of angle A?
O 32 degrees
O 90 degrees
O 96 degrees
O 30 degrees
First, let's declare our variables
B = x+2
A = 3(x+2)
Now, let's create our expression.
A + B = 128
Plug in the values for A and B
x+2 + 3(x+2) = 128
We need to solve for x. Start off by simplifying the left side.
x+2 + 3x + 6 = 128
Combine like terms.
4x + 8 = 128
Subtract 8 from both sides.
4x = 120
Divide both sides by 4
x = 30
B = x+2 = 30 + 2 = 32 degrees
A = 3(x+2) = 3(30+2) = 3(32) = 96 degrees
1+sinx+cosx/1+sinx-cosx=1+cosx/sinx help pls by proving
Answer:
Below.
Step-by-step explanation:
I'll write sin x as s and cos x as c so we have:
(1 + s +c)/(1 + s - c) = (1 + c)/s
Cross multiplying:
s + s^2 + cs = 1 + s - c + c + cs - c^2
s + s^2 + cs = 1 + s + cs - c^2
s^2 + c^2 + s - s + cs - cs = 1
s^2 + c^2 = 1.
- that is sin^2 x + cos^2 x = 1 which is a known identity.
Therefore the original identity is proved.
Find the measures of the indicated angles pictures included!!!
Answer:
25
Step-by-step explanation:
The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.
how do you solve x/4+7=-2
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
How do you solve x/4+7 = -2[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf \frac{x }{4} + 7 = - 2 \\ [/tex]
Multiply both sides of the equation by 4.[tex] \large \sf \: x+28=-8 [/tex]
Subtract 28 from both sides.[tex] \large \sf \: x=-8-28 [/tex]
Subtract 28 from -8 to get -36.[tex] \large \boxed{ \bf \: x=-36 }[/tex]
If LM=22 and MN=15,find LN
Answer:
37
Step-by-step explanation:
LMN is one big line
LM=22
LM=15
LN=22+15=37
Answer:
LN = LM + MN = 37
Step-by-step explanation:
L————————-M———————-N
22. 15
L————————-37———————-N
Janet deducted $5 on Monday and another $6 on Tuesday from her savings account. How much money did Janet deduct?
Yea also all of this
Answer:
yea I cant really do this over a screen
Answer:
16) photo
Step-by-step explanation:
- parallel lines never meet (a, b, c have no points in common)
- perpendicular lines meet other lines at one point, forming two angles of 90 °
Jennifer is saving money to buy a bike. The bike costs $261. She has $107 saved, and each week she adds $14 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her ____ weeks to save for the bike.
Answer:
It will take her 11 weeks to save for the bike
Step-by-step explanation:
261 -107 = 154
154 /14=11
Translate the following statement into an equation and solve for x
Answer:
104 = -13 x -8
Step-by-step explanation:
The reason you got it wrong is, I'm assuming, because of the way you formatted it. Try this and see if it works.
Round the fraction to the nearest whole number.
5/8
please help
Answer:
1
Step-by-step explanation:
so when you divide 5/8 you get 0.625 and rounding it of to the nearest whole number it will be 1.
hope this helps
Answer:
1
Step-by-step explanation:
(8/8) = 1 (4/8) = half (0/8) = 0
(5/8) = a bit more than half, so is closer to 1
5/8≈1
Help geometry need help
CALLING ALL EXPERTS, PLEASE HELP ME WITH MY HOMEWORK!! WORTH A LOT OF POINTS AND WILL GIVE BRAINLIEST!!
Answer:
1= 1 7/8 or 1.875
2= 235.75
3= 10 1/2 or 10.5
4=191.53
5=1 5/12 or 1.4166667
6=239.13
hope this helps
Answer:
1.
[tex] \frac{9}{4} [/tex]
2. 235.75
3.
[tex] \frac{21}{2} [/tex]
4. 191.53
5.
[tex] \frac{17}{12} [/tex]
6. 239.13
Step-by-step explanation:
1.
[tex]3 \times \frac{3}{8} - 1 \times \frac{1}{2} = 2 \times \frac{1}{4} or \: \frac{9}{4} [/tex]
2. 168.45 + 67.3 = 235.75
3.
[tex]6 \times \frac{3}{5} + 3 \times \frac{9}{10} = \frac{21}{2} [/tex]
4. 249.6 - 58.07 = 191.53
5.
[tex] \frac{5}{6} + \frac{7}{12} = \frac{17}{12} [/tex]
6. 334.16 - 95.03 = 239.13
find the missing endpoint endpoint h (-1,0) midpoint p(0,-1)
Answer:
Step-by-step explanation:
Let the other end point be (a,b)
Then the midpoint p(0,-1) is between the two end points (-1,0) and (a,b)
So
(0,-1) = ( (-1+a)/2 , (0+b)/2)
So we have
0 = (-1 +a) /2
0 = -1 + a
a =1
and
-1 = (0+b)/2
-2 = 0+b
b = -2
So the other end point is ( 1, -2)
Factorise : a²+b²-c²+2ab
Answer:
Step-by-step explanation:
a²+b²-c²+2ab
=a²+b²+2ab-c²
=(a+b)²-c²
=(a+b+c)(a+b-c)
Jose originally had a rectangular rug with an area of 4.c? + 72 +3 square feet. He
decided to make a new rug that was smaller than his original rug. The area of the new rug
is 4x2
square feet
Which of the following expressions represents the difference between the area of his old
rug and the area of his new rug?
Answer:
7x + 3
Step-by-step explanation:
old - new =
(4x**2 + 7x + 3) - (4x**2) = 7x + 3
Find length
__
AB
A:-6
B: 8
To find the distance between those two points you would need to
do, -6 - (8), which is -14, and than take away the minus sign, and the length of AB is 14 units.
Answer:
14 = AB
Step-by-step explanation:
When finding length, absolute value is the way to go! So if A is -6 and b is 8, then we need to find the distance between them. You can physically count on a number line like I see you did, which would be -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8=14 numbers
or you can set up the expression---
| -6-8 |
which equals
| -14 |
or
14
because 14 is the same as | -14 |
This is confusing and makes no sense
Answer:
A is the answer
rrrrrrrr
is -15 an integer and rational number?
Answer:
I guess it would help you
the base of a triangle is 13cm and its height is 5cm. what is the area of the triangle
Answer:
32.5cm
Step-by-step explanation:
Using the formula A=h_b*b/2
We get 5*13/2=32.5
A man is three times as old as his son in 10 years time their combined ages will be 68 how old is each person now person now
Answer:
The dad is 36 and the son is 12
helpppp quick please!! explanation and answers! thanks:)
Answer:
DO NOT CHEAT
Step-by-step explanation:
IT'S HARAM >:(
simplify this exponential expression
[tex]( \frac{1}{3} )^{2} [/tex]
Answer:
Answer: 3^-2
Step-by-step explanation:
[tex]( \frac{1}{3} ) {}^{2} \\ \\ = \frac{ {1}^{2} }{ {3}^{2} } \\ \\ = {3}^{ - 2} [/tex]
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Evaluate the power
[tex]\frac{1^2}{3^2}[/tex]
Divide
[tex]\frac{1}{9}[/tex]
Can someone help me im struggling
[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]
1) 5* + 5* +1 + 5x + 2 = 155
Answer:
24.8Step-by-step explanation:
solution,= 5+5+1+5x+2=155=ADD ALL THE NUMBER REMSIN 5X BECAUSE IT IS NOT COMMON=13+5x=155now take 13 to the next side it will be +13=-13=5x=155-13=5x=142= now take 5x to another side it will divide 142=x=142÷5x=28.4 please make me Brainlist(Please help, I don't understand) Use the distance formula to find the distance between each pair of points:
Step-by-step explanation:
Distance = √(x_2 - x_1)² + (y_2 - y_1)²
Distance = √[(-a) - a]² + (b - b)²
Distance = √[-2a]² + (0)²
Distance = √4a²
Distance = 2a
Find the area of a rectangular ground which is 14 1/2 m long and 10 2/3 m wide.
Answer:
154 2/3 m²
Step-by-step explanation:
14 1/2 x 10 2/3
First, make the mixed numbers into improper fractions:
29/2 x 32/3
Simlify by cross cancelling if you can:
29/1 x 16/3
Then, multiply:
29/1 x 16/3 = 29 x 16/1 x 3 = 464/3
Finally, turn the new improper fraction into a simplified mixed number:
464/3 = 154 2/3
The area is 154 2/3 m²
Help need help please
what is the distributive property for 72 +12
Answer:
4
Step-by-step explanation:
-m/3=-4
m?
Yeah i need to figure out how to do this one
Answer:
assuming that this is just an algebra problem and not some graphing
problem that you are trying to fin the slope vale m in y-mx+b
-m/3 = -4
-m = -4*3
-m = -12
m=12
Step-by-step explanation: