Answer:
The 31st term is 84
Step-by-step explanation:
Here, we want to calculate the 31st term of the sequence
Firstly, we need to determine the type of sequence herein
As we can see;
200-204 = 196-200 = -4
The relationship between the numbers is a sum, that means the sequence is arithmetic
and; -4 represents the common difference
Mathematically, the nth term of an arithmetic sequence can be calculated using the equation;
Tn = a+ (n-1)d
with respect to the question;
a is the first term = 204
n = 31 and d = -4
Substituting these numbers;
T31= 204 + (31-1)-4
T31 = 204 - 4(30)
T31 = 204 - 120
T31 = 84
10 Rotate the point (7, 8) around the origin 90 degrees. State the image of the
point.
A (-7, -8)
B (8, -7)
C (-8,7)
D (8,7)
Answer:
(-8, 7)
Step-by-step explanation:
for 90 degree rotations u switch the numbers and make the first number opposite
Answer:c
Step-by-step explanation:
-8,7
help please!! :-(
x = -5
-x + 8
Answer:
13
Step-by-step explanation:
-(-5) + 8
5 + 8
13
what is the answer to : classify <1 and <7
Given:
A figure.
To find:
The classification for angle 1 and angle 7.
Solution:
From the given figure, it is clear that a transversal line intersect two parallel lines and forms 8 angles, 4 angles on each intersection.
In the figure, angle 1 and angle 7 are on opposite sides of the transversal line and outer side of each of those two parallel lines.
Therefore, angle 1 and angle 7 are alternate exterior angles.
Find the missing values in the ratio table. Then write the equivalent ratios. (pls help me fill out the rest!)
Step-by-step explanation:
[tex] \frac{6}{2} = \frac{3}{1 } = \frac{12}{4} = \frac{15}{5} \\ [/tex]
joseph saves 30% of his allowace each week. if he saves 24$ in 5 weeks. how much allowance does joseph recieve in each week
Answer:
$24/5 weeks = $4.80 saved per week.
$4.80 is 30% of what number?.....
4.8=0.3*X....... 4.8/0.3=X ........X=16
So, Joseph receives $16 per week.
Step-by-step explanation:
peter is drawing a rectangle with a perimeter of 16 centimeters. he has drawn one side measuring 3cm.
What length must he draw the next side?
include the units cm in your answer
Which expressions are equivalent to the following expression:
6h+5(x+h)
Step-by-step explanation:
6h + 5(x +h)
6h + 5x + 5h
11h + 5x
---------------------------FOLLOW METhe plane continued to descend, but leveled off to an angle of descent of 3° degrees for approximately 2 miles. How many feet did they drop in altitude (d)? Round to the nearest 10th.
2.
A rectangular box is 60 cm long and 45 cm wide. Can
an umbrella that is 68 cm long fit inside of the box?
Answer:
well yes if the back sticks out or if its turned like a x / it can go inside
Step-by-step explanation:
True or False: (2,3) is a solution for both of the following equations:
y=2x+1 and y-3x=4
A sign in a bakery gives these options:
12 muffins for $25
24 muffins for $46
50 muffins for $94
Find each unit price to the nearest cent.
Option 1: $
Option 2: $
Option 3: $
Answer:
1. $0.48
2. $0.52
3. $0.53
Step-by-step explanation:
12/ $25
24/$46
50/$94
hope this helps
really need help on these two questions for geometry, please actually answer it instead of just grabbing points and leaving :'), like most clowns on here
Answer:
Step-by-step explanation:
The diagonals of a rhombus are perpendicular, so ∠AED = 90° and ∠BEC = 90°.
∠DAE = 180° - ∠AED - ∠EDA = 180° - 90° - 35° = 55°
BD is a transversal across parallel sides AD and BC, so ∠EBC = ∠EDA = 35°.
∠BCE = 180° - ∠BEC - ∠EBC = 180° - 90° - 35° = 55°
5^4 = 5 x 5 x 5 = what is the value of 5^4
Answer:
625?
Step-by-step explanation:
Answer:
625 is the value of 5×5×5×5 or 5^4
The simple interest on an investment of $3600 over 2 years is $504. Find the interest rate to the nearest one decimal place.
Answer:
7%
Step-by-step explanation:
Given data
Principal= $3600
Time= 2 years
SImple interest= $504
The expression for the simple interest is given as
SI= PRT/100
We want to find the rate R
504= 3600*R*2/100
cross multiply'
504*100= 3600*R*2
50400= 7200R
divide both sides by 7200
R= 50400/7200
R= 7%
Hence the rate is at 7%
For what value of x is the rational expression below equal to zero?
X-4
(x+5)(x-1)
A. 4
B. -5
O
O
C. 1
O D.-4
Answer:
[tex]\boxed{\textsf{ The value of x is \textbf{4}.}}[/tex]
Step-by-step explanation:
For complete solution kindly refer to the attachment .
Work out this please in standard form
what is the y-intercept of the following function?
Y=2(4/3)x
A.X
B.2
C.3
D.4
Answer:
C.
Step-by-step explanation:
Answer: A) x axis
Step-by-step explanation:
goes through the origin
Write the ratio of the first measurement to the second
measurement. Compare in inches.
5 feet to 49 inches
Answer:
60:49
Step-by-step explanation:
1ft = 12in
5 x 12 = 60
60:49
They share no common factors so this is your final answer.
The volume of a rectangular prism is 72 cubic units. If the length of the prism is 6 units, What might the width and height be? how many solution are there?
Explain your answer
Answer:
anything that adds up to twelve like 3 x 4 or 6 x 2 or 12 x 1 so three answers
Of a total of 6,000.00, part was invested at a simple interest rate of 8% and part at 7% if the total interest income for one year was $46.00, how many was invested at 7%
Answer: Ok so first 0.05(6000 - x) + 0.07x = 372
300 - 0.05x + 0.07x = 372
300 + 0.02x = 372
0.02x = 72
x = 3600
He invested $3600 at 7% and $2400 at 5%.
Hope this helps have a bless day❤️Step-by-step explanation:
Answer:
Step-by-step explanation:
I think you had a typo where interest should be 460 not 46 because even if the whole 6000 were invested at 7% he would have earned $420 in interest. Also if total investment was switched from 6000 to 600 the 46 in interest would work.
.07x+.08(6000-x)=460
.07x-.08x+480=460
-.01x+480=460
-.01x=-20
x=$2000
which is easy enough to check
2000(.07)+4000(.08)=$460
10 x 10 +100 – 1000 = X
Answer:-800
Step-by-step explanation: 10 times 10 is 100 plus another 100 is 200-1000 is -800 which is x
Answer:
-800
Step-by-step explanation:
since you need to mutiply first,
10 x 10 + 100 - 1000 = X
100 + 100 - 1000 = X
200 - 1000 = X
-800 = X
hope it helps!!!
I need this answered plz!!!!!!!!!!!!!!!!!!!
Answer:
Red: Left side equation
Blue: Right side equation
2x+7=2(x-1)
2x+7=2x-2
2x-2x=-2-7
0x=-9= 0 No solution
Step-by-step explanation:
Use Desmos graphing calculator if u need help with graphs
Determine if the triangles are congruent. If they are, state why.
Darunt by SA
ITS DUE AT 5PM PLEASE I NEED TO GET IT DONE WAY BEFORE. HELP!!
Which of the following are equal to 25 miles per gallon? Check all that apply
Help plz and don’t spam for points
Look I tried ok???? Sorry... =_=
a car with an initial value of $23,00 is decreasing in value at a rate of 8% each year. Write a function, f(x), that expresses the value of the car in x years
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r/n)^ nt
Where
A represents the value after t years.
n represents the period for which the decrease in value is calculated
t represents the number of years.
P represents the value population.
r represents rate of decrease.
From the information given,
P = 23000
r = 8% = 8/100 = 0.08
n = 1
Therefore, the exponential decay function described in this situation is
A = 23000(1 - 0.08/n)1)^ 1 × t
A = 23000(0.92)^t
If A = 15000, then
15000 = 23000(0.92)^t
0.92^t = 15000/23000 = 0.6522
Taking log of both sides to base 10
Log 0.92^t = log 0.6522
tlog 0.92 = log 0.6522
- 0.036t = - 0.1856
t = - 0.1856/- 0.036
t = 5 years to the nearest year
Somebody please help me
Answer:
s²+r²=t² => r²=s²-t²= 27²-25²
The answer is D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
'r' and 's' are legs and 't' is the hypotenuse
The Pythagorean Theorem takes the sum of the legs, squared, and sets them equal to the hypotenuse squared.
So in this problem we could start with:
r² + 25² = 27²
r² = 27² - 25²
to get 'r' by itself we take its square root, and what we do to one side of an equation we must also do to the other side, so:
r = [tex]\sqrt{27^2 - 25^2 }[/tex]
which figure could be the result of dilation the trapezoid with a scale factor between 0 and 1
Answer:
1
Step-by-step explanation:
On Monday, snow fell at a rate of 2.8 inches per hour.
Write an equation to show the relationship between the number of hours, h, and Monday's total snowfall, s.
Answer:
s = 2.8h
Step-by-step explanation:
Answer:
s = 2.8h
Step-by-step explanation:
2.8 inches of snow : 1 hour
Total snowfall = 2.8 × number of hours
2.8 × h = s
2.8h = s
what's an equivalent equation for -5(3-2x)
Answer:
-15 + 10x
or
10x - 15
(either one works)
Step-by-step explanation:
You mean you just want me to expand it?
Ok.
Multiply -5 by 3 and -2x.
(-5)(3) = -15
(-5)(-2x) = +10x
Add those together:
-15 + 10x
or
10x - 15