The sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5
The nth term of a geometric sequence is given mathematically as;
T(n) = ar^n
where, a = first term of the geometric sequence.r = common ratio of the sequenceand n = nth term of the sequence.Therefore, the sum of the first 8 terms of the geometric sequence is;
S(8) = a + ar + ar² + ar³ + ar⁴ + ar⁵ + ar⁶ + ar⁷.
In essence;
since common ratio, r = 2 and first term, a = -2.5Therefore, we have;
S(8) = -2.5(1 + 2 + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷)S(8) = -2.5(255)S(8) = -637.5.
Therefore, the sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5
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A triangle has a slant of 5ft, a height of 4ft, and a base of 3ft. What is its area?
A. 6ft^2
B. 10ft^2
C. 12ft^2
D. 20ft^2
The value of the power (-8) ti the second power is
Answer:
64
-8 to the second power is -8^2 Which is -8×-8 Which gives 64
find the measure of the indicated angle to the nearest degree
B. 47°
hope this helps :)
Answer:
A) 71°
Step-by-step explanation:
indicated angle =
[tex]sin^{-1} \frac{51}{54} = sin^{-1}0.94[/tex]
Complementary, Supplementary or neither?
Answer:
whaats the question
Step-by-step explanation:
Please help me!! (Look at the photo)
Answer:
310in
Step-by-step explanation:
7×10=70
70×2=140(there are two that are the same length)
5×10=50
50×2=100(there are two that are the same length)
5×7=35
35×2=70(there are two that are the same length)
70+100=170
170+140=310
please let me know if it's correct
Will mark brainliest
Answer: Volume of prism is LxWxH which is 360
Step-by-step explanation:
Solve the following inequality: −5(x−1)>−40
Type the solution
Answer:x = 7
Step-by-step explanation:
Simply because:
5(1 + x) = 40
(1 * 5 + x * 5) = 40
(5 + 5x) = 40 5 + 5x = 40
5 + -5 + 5x = 40 + -5
0 + 5x = 40 + -5
5x = 40 + -5
5x = 35
x = 7
I need help with these
Find the slope of the line that passes through the points (2,4)and (6,12)
Answer:
2
Step-by-step explanation:
slope = rise/run
slope = (12-4)/(6-2) = 8/4 = 2
What is the answer to question b and d
Answer:
Step-by-step explanation:
a) -3
b) 5
c) -2
d) -6
Answer:
a) (-3)
b) 5
c) (-2)
d) (-6)
Hope it helps!!
A farmer had a total of 995 horses and cows. After selling some of the horses and cows, he had 510 horses and 390 cows left. How many horses and cows did he sell altogether?
a =
horses and cows
∠A and \angle B∠B are complementary angles. If m\angle A=(6x+22)^{\circ}∠A=(6x+22) ∘ and m\angle B=(7x+16)^{\circ}∠B=(7x+16) ∘ , then find the measure of \angle B∠B.
Answer: B = 44
Step-by-step explanation:
The measure of ∠B = 44°.
We have two angles ∠A and ∠B which are complementary of each other.
We have to find the measure of ∠B.
What are Complementary angles?Two angles are said to be complementary if their sum is equal to 90°.
Mathematically - x + y = 90°
According to the question -
∠A = (6x+22)°
∠B = (7x+16)°
Now, ∠A and ∠B are Complementary angles. Therefore -
∠A + ∠B = 90°
(6x + 22) + (7x + 16) = 90
13x + 38 = 90
13x = 52
x = 4
Therefore -
∠B = 7x + 16 = 7 x 4 + 16 = 44°.
Hence, the measure of ∠B = 44°.
To solve more questions on Complementary angles, visit the link below-
https://brainly.com/question/26142428
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Linear or Non Linear
The cost to ride in a taxi that initially charges $4 plus $0.25 per half mile
Look at the given figure. If the triangles are congruent, give the theorem. If not, select not congruent.
a) SSA
b) SSS
c) SAS
d) Not Congruent
Answer:
A. SSS
Step-by-step explanation:
You can use the formula is A = 1/2 b•h to find the area of every triangle.
area
of
A
True
B
False
Answer:
True. Every Triangle is true to this formula.
yeah it's true we can found area of every triangle with that fomula
Q 18: Melissa uses 150 g of sugar for every 6 eggs. How many eggs should she use with 350 g of
sugar?
Answer:
14 eggs
Step-by-step explanation:
150 grams need 6 eggs
1 gram need 6 ÷ 150 eggs
350 grams need 350×6÷ 150 = 14 eggs
4
Select all the expressions that are equivalent to
-2(5x - 1) + 7(5x - 1) – 3(-5x + 1)
M. -10x – 1 + 35x - 1 + 15x + 1
P. -10x + 2 + 35x - 7 - 15x - 3
R. (5x - 1)(-2 + 7 - 3)
S. (5x - 1)(-2 + 7 + 3)
T. 40% - 8
V. 10x + 2
Answer:
The first answer is M. -10x - 1 + 35x - 1 + 15x + 1
maybe
Tony answered all the questions on his math test but got 5 answers wrong. There is a 1 point pent
for every wrong answer. He received 4 points for every correct answer. His score was 72. How many questions did Tony answer correctly on his Math test?
Answer:
I believe he answered 18 questions correctly.
$20 is what percent of $40?
Please help ples
Answer:
50%
Step-by-step explanation:
50%
$20=50%
$20 x 2= $40
Cost of the student ticket to the school play is $7. Write an equation that correctly relates the total cost, c,
Complete question :
The cost of a student ticket to the school play is $7. Write an equation that correctly relates the total cost, c, for a particular number, s, of student tickets purchased. Identify the independent and dependent variable.
Answer:
Dependent variable = Total cost
Independent variable = number of students
Step-by-step explanation:
The total cost equation is :
Total cost, c = cost per ticket * number of tickets
c = 7 * s
c = 7s
The Independent variable also called the predictor variable is the number of students in the scenario described above as it is the variable upon which the total cost relies. It dictates the value of the output or dependent variable. As we vary the value of the Independent variable, number of students, the total cost which is the dependent variable also varies. The dependent variable on the other hand is the predicted value or variable which is controlled by the independent variable. The dependent variable in this case is the total cost, c
Find the value of y. Round to the nearest tenths place.
Answer:
y = 12
Step-by-step explanation:
Look at the left triangle first. Opposite the 30 degree angle (not shown) is the shortest side, which (according to the sine function) is half the hypotenuse, or 2√3. Then (2√3)² + x² = (4√3)², or
4(3) + x² = 16(3). Thus, x² = 16(3) - 4(3) = 12(3) = 36, and so x = 6. Again using the sine function, we find that x = 2y = 6, so, using the sine function, we find that sin 30° = 6/y. Thus y = 6 / (2/1) = 12 = y
Is 0.999 repeating equal to 1? Please explain
Answer:
It is not equal to 1
Step-by-step explanation:
It's not equal to one because even if it is repeating forever it will never ever get to one, just take a look
0.999...... every 9 get's smaller and smaller in value
like 0.9 is bigger then 0.09 and that is bigger then 0.009
so even thought it is always gaining value by every 9 the value it gains is smaller and smaller and will never be equal or larger then 1
A person is designing a new rectangular garden. Its area must be 344 square feet. List the length and width, in feet, of all the possible gardens with this area. Use whole-number dimensions. Which garden has the least perimeter?
Answer:
(1 x 344) ft
(344 x 1) ft
(2 x 172) ft
(172 x 1) ft
(4 x 86) ft
(86 x 4) ft
(8 x 43) ft
(43 x 8) ft
the garden with the least perimeter is the garden with dimensions 8 x 43
Step-by-step explanation:
area of a rectangle = length x width
given the area, we can determine the dimensions of the rectangle by calculating the factors of 344. the factors are then multiplied to determine the area
factors of a number are numbers that divide the original number evenly. they are numbers that when used to divide another number, we derive only only numbers
Factors of 344 = 1, 2,2,2,43 and 344
Possible dimensions and their areas
1 x 344 = =344 ft²
2 x 172 = 344 ft²
4 x 86 = 344 ft²
8 x 43 = 344 ft²
Perimeter of a rectangle = 2 x (length + width)
i would use the dimensions i calculated to determine all the possible perimeters
2 x ( 1 + 344) = 690 ft
2 x (2 + 172) = 348 ft
2 x (4 + 86) = 180 ft
2 x (8 + 43) = 102 ft
the garden with the least perimeter is the garden with dimensions 8 x 43
Mathhhh which numbers are under the ketchup spill
Answer:
pretty sure A and C not positive tho
Step-by-step explanation:
plz let me know if i'm incorrect
Find the volume for each.
Answer:
Volume of cuboid = 1,386 inch³
Step-by-step explanation:
Given:
Length of cuboid = 14 inch
Width of cuboid = 9 inch
Height of cuboid = 11 inch
Find:
Volume of cuboid
Computation:
Volume of cuboid = Length of cuboid x Width of cuboid x Height of cuboid
Volume of cuboid = 14 inch x 9 inch x 11 inch
Volume of cuboid = 126 inch² x 11 inch
Volume of cuboid = 1,386 inch³
The length of a rectangular screen is 6 feet, and the width of the screen is 8 feet. What is the length of a diagonal of this screen in feet?
Answer:
Length of diagonal = 10 feet
Step-by-step explanation:
Length of a rectangular screen = 6 feet
Width of the rectangular screen = 8 feet
Since, all interior angles of a rectangle are 90°,
Triangle formed with two adjacent sides and the diagonal will be a right triangle.
By applying Pythagoras theorem,
Hypotenuse² = (leg 1)² + (leg 2)²
(Diagonal)² = (leg 1)² + (leg 2)²
Diagonal = [tex]\sqrt{6^2+8^2}[/tex]
= [tex]\sqrt{100}[/tex]
= 10 feet
Check the box labeled show altitude of triangle ABC. The altitude divides ABC into ADB and BDC through the point you determined in question 2.
How do I find the missing side length to the nearest tenth of a millimeter.
Answer:
11.5
Step-by-step explanation:
If the measure of Angle B = 54°, what is the measure, in degrees, of Angle BCA in the
triangle?
Answer:
5
Step-by-step explanation:
thanks for the points
If who answers fast, correct and first, I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!!
Answer:
Is A.
Step-by-step explanation:
22 < 7x+57
7x+57>22
7x>-35
x>-5