Answer:
3279
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 2 and r = a₂ ÷ a₁ = 9 ÷ 3 = 3 , then
S₇ = [tex]\frac{3(3^7-1)}{3-1}[/tex] = [tex]\frac{3(2187-1)}{2}[/tex] = 1.5 × 2186 = 3279
f – 4 ≤ 9 for f. solve for the
Answer:
f>36
Step-by-step explanation:
9
<
f
4
Multiply both sides by
4
.
9
⋅
4
<
f
4
⋅
4
Simplify.
Tap for more steps...
36
<
f
Rewrite so
f
is on the left side of the inequality.
f
>
36
The result can be shown in multiple forms.
Inequality Form:
f
>
36
Interval Notation:
(
36
,
∞
)
Answer:
f={∞,13)
Step-by-step explanation:
f - 4 ≤ 9
f - 4-9 ≤ 0
f-13 ≤0
f=13
13- 4 ≤ 9
9 ≤ 9 √(f>13) f-4 ≤9
Find a number less than 13
f=12
12-4 ≤9
8≤9 √(f<13) f-4 ≤9
Find a number greater than 13
14
14-4 ≤9
10 ≤9 ×On this number line, zero represents sea level. Plot the following points based on the description provided by dragging and dropping the dots to the appropriate locations on the number line.
1.5 above sea level
absolute value of −4.5 −2 opposite of 4 absolute value of 1 2.5 below sea level greatest common factor of 8 and 12 −(−3) −3.5 Opposite of −5
I will give you brainleist and 50 plus points
Answer:
why didn't nobody answer this its so many points
Step-by-step explanation:
3.5 + 5 + 4 + 8.5 = 21
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of B. Calculate the bearing of D from B
ONLY ANSWER QUESTION B PLEASE
Giving lots of points
I will give brainlist
NO FRAUDS
Answer:
213.7°
Step-by-step explanation:
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
-----------------------------------------------------------------------------------------------------------
Part A: 135
Part B: 213.7
------------------------------------------------------------------------------------------------------------
[RevyBreeze]
MATE!
213.7°
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
Part A: 135
Part B: 213.7
Question 12 Objective: Given an acute angle of a right triangle, label the hypotenuse, opposite, and adjacent sides. What side is opposite to angle R? What side is adjacent to angle R? R S
Answer:
Opposite: Line SQ
Adjacent: Line SR
Hypotenuse: Line RQ
Step-by-step explanation:
The area of the regular hexagon is 169. 74 ft2. A regular hexagon has an apothem with length 7 feet and an area of 169. 74 feet squared. What is the perimeter, rounded to the nearest tenth? 24. 2 ft 28. 3 ft 48. 5 ft 56. 8 ft.
The perimeter of the hexagon is the sum of its side lengths
The perimeter of the hexagon is 48.5 ft
The given parameters are:
[tex]\mathbf{Area = 169.74}[/tex] --- the area of the hexagon
[tex]\mathbf{a = 7}[/tex] -- the apothem
Let the perimeter of the hexagon be p.
So, the area is calculated as:
[tex]\mathbf{Area = \frac 12 pa}[/tex]
Substitute values for Area and (a)
[tex]\mathbf{169.74 = \frac 12 \times p \times 7}[/tex]
Multiply both sides by 2
[tex]\mathbf{339.48= p \times 7}[/tex]
Divide both sides by 7
[tex]\mathbf{48.5= p }[/tex]
Rewrite as:
[tex]\mathbf{p = 48.5}[/tex]
Hence, the perimeter of the hexagon is 48.5 ft
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Viviana sells handmade necklaces for $12.50 and bracelets for $10.50. On Tuesday,
she sold 24 pieces of jewelry and made $288. How many of each type of jewelry did
she sell?
x= Necklaces
y= Bracelets
Answer:
brainlest = answer
Step-by-step explanation:
Find the perimeter. Simplify the answer.
Answer:
4u
Step-by-step explanation:
add up all the sides: u+u+u+u=4u
There are two bowls. One of them has 60gems and the other has 40gems. Some of them are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?.
Triangle RAD is reflected over the x-axis to form triangleR'A'D' (not shown). Then triangle R'A'D'is
translated to form triangle R" A"D"(not shown). Point A" is shown plotted on the xy-plane after the second
transformation. Determine the coordinates of D"?
OD" (7,2)
O D" (9,-10)
OD" (4,-2)
OD" (7-10).
Answer:
(7,-10)
Very educated guess
Two ice cream machines make a total of 320 gallons in a certain amount of time. working together for the same length of time how many gallons of ice-cream can each number of machines make?
(a) 7 ice-cream machines
Answer:
7 ice cream machines can make 1,120 gallons of ice cream
Step-by-step explanation:
Divide 320 by 2
multiply 160 by 7
you should get 1,120
7 ice-cream machines makes 1120 gallons of ice-cream.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, two ice cream machines make a total of 320 gallons in a certain amount of time.
Here, quantity of ice cream made by 1 machine =320/2
= 160 gallons
Now, 7 ice-cream machines makes
160×7= 1120 gallons
Therefore, 7 ice-cream machines makes 1120 gallons of ice-cream.
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92% of what number is 30?
Please answer quick!
Answer: 32.61
Step-by-step explanation:
92/100 × x = 30
x = 30 × 100/92
x = 32.61
What is the total volume of both storage spaces if one side of the large storage space is 4 feet long?
The total volume of both storage is 76 ft³
What is Volume of cube?The number of cubic units that a cube totally occupies is determined by its volume. The cubic unit of measurement for the volume of a cube includes centimetres³, metres³, inches,³ feet³, etc.
A solid three-dimensional shape with six square faces or sides is known as a cube. The total amount of space a cube takes up is its volume. The cube's square form means that all of its sides are square, and as a result, all of its edges will be of equal length. As a result, the cube's length, breadth, and height are all equal.
The formula to compute the volume of cube is a³; where 'a' is the edge of the cube.
Given:
Larger box volume = s³
smaller box volume = 12 ft³
Now, the edge of larger box = 4
So, volume of larger box
= 4 x 4 x 4
= 64 ft³
Hence, the total volume is = 64 +12 = 76 ft³
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Find the slope given two points: (-9, -2) and (-5,0)
Answer:
1/7
Step-by-step explanation:
Consider the line passing through these two points. The increase in x (run) from the first to the second is 14; the increase in y (rise) is 2.
Thus the slope of this line is m = rise/run = 2/14, or m = 1/7
Answer:
[tex]m = \frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope using two given sets of coordinates, the following function can be used:
[tex]m = \frac{y2-y1}{x2 - x1}[/tex]
Where x1,y1 are one set of coordinates and x2,y2 are the other set:
[tex]m = \frac{0 - (-2)}{-5 - (-9)}\\[/tex]
[tex]m = \frac{0 + 2}{-5 + 9}[/tex]
[tex]m = \frac{2}{4}[/tex]
This can be simplified down to:
[tex]m = \frac{1}{2}[/tex]
Hope this helps!
Judy is trying to stack books on a shelf that is 20 inches tall. If each book is 4/5 inches thick, how many
books can she stack on the shelf?
what is the answer to 11/12-7/9=
0.13888888888 is tour answer
mike deposited a sum of rs 64000 in a post office for 4 years, compound annually at 4% per annum. What amount will he get on maturity
Answer:
79507
Step-by-step explanation:
because 64000(1+15/200)^3= 79507
find the equation of a line perpendicular to y=x-3 that contains the point (2,1)
Answer:
y = -x + 3
Step-by-step explanation:
y = x - 3 This equation has a slope of 1
A line that would be perpendicular to the above line would then need a slope of -1
If the line has a slope of -1 and passes through (2, 1) then we can plug into
y = mx + b to get the 'b' value
1 = (-1)(2) + b
1 = -2 + b
3 = b
Equation would be y = -x + 3
Item 3 Solve. 7 2/5=2/3x−4 1/2 Enter your answer as a mixed number in simplest form in the box.
The simplified form of the expression 7 ²/₅ = (2/3) x - 4 ¹/₂ for the value of x is 357/20 or 17.85.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
7 ²/₅ = (2/3) x - 4 ¹/₂
Simplify the expression,
37/5 = (2/3)x - 9/2
37/5 + 9/2 = (2/3)x
(74 + 45) / 10 = (2/3)x
119 / 10 = (2/3)x
357/20 = x
x = 357 / 20
x = 17.85
The simplest form for the value of x, of the given expression, is 357 / 20.
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What are the sums for both of those?
there are 5 crayons 4 pencils and 6 erasers. what is the number of crayons to total school supplies
Answer:
5 crayons to 15 school supplies
Step-by-step explanation:
since its supplies in general, add 5 crayons, 4 pencils, and 6 erasers to get 15 total
What is the missing angle ?
Please help me solve this problem asap!
Dilation and rotation.
the base of a triangle is five less than twice it’s height, if the area of the triangle is 6 cm^2, find the length of the base
Answer:
Base = 3 cm
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2} bh[/tex]
Let h = height
base = 2 times the height - 5; b = 2h-5
Area = 6 cm²
A = [tex]\frac{1}{2}bh[/tex]
[tex]6 =\frac{1}{2}(2h - 5)(h)[/tex] Multiply 2h(h) -5(h)
[tex]6 (2) = 2(\frac{1}{2})(2h^{2} - 5h[/tex] Multiply both sides by 2 to remove the fraction
12 = 2h²- 5h
2h ² - 5h - 12 = 0 Set the equation = 0 and factor
(2h + 3)(h - 4) = 0
2h + 3 = 0 or h - 4 = 0
2h = -3 h = 4
h = -3/2 or h = 4 Answer can not be negative so h = 4cm
The base is 2(4) - 5; The base = 8 - 5; base = 3 cm
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Parallel
Step-by-step explanation:
So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point
For example use the following equations
y = x + 2
y = x + 3
In the graph, these equations are parallel
Factor the expression
n^2-15n+56
Answer:
(n-8)(n-7) this is the answer I hope it helped you
Answer:
(x - 7)(x - 8)
Step-by-step explanation:
Factor this into the form:
(x +/- a)(x +/- b)
As the third term is a positive and the second is negative, we know that the two operators are subtract:
(x - a)(x - b)
Find the factors of 56:
1 56
2 28
4 14
7 8
The two factors we need will add up to 15, so this is 7 and 8. This means the factor form is:
(x - 7)(x - 8)
Hope this helps!
How can the careers or hobbies of your family members help you earn
scholarship awards?
The careers or hobbies of my family members can help me earn scholarship awards as some employers and associations offer scholarships to participants and family members.
That is, certain hobbies, skills or careers that members of my family have may involve them in certain jobs or groups that, in turn, offer the possibility of accessing scholarships and other benefits.
Thus, social and labor groups always tend to expand the opportunities of those who participate in them, as well as those of their closest people.
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What’s the answer, pls help me
Answer:
lower left
Step-by-step explanation:
v+3<=6.5
v<=3.5
-18 is less than 3.5
Step-by-step explanation:
It can't be the first one because [tex]v=-18[/tex] and were saying [tex]-v[/tex] and to negatives make a positive so our equation is
[tex]18+3[/tex] ≤[tex]-6.5[/tex] which is incorrect
The one below the first one is incorrect
It's correct since our equation is
[tex]-18+3\leq 6.5[/tex] which is correct
The top right one is correct because our equation is
[tex]18+3\leq 6.5[/tex] which is incorrect
The one below that is correct because our equation is
[tex]-18+3\geq 6.5[/tex] which is incorrect
Priya bought these items at the grocery store. Find each unit price.
4 rolls of toilet paper for $2. How much is the cost per roll?
Answer:
1 roll of toilet paper would cost $50
Step-by-step explanation:
Find the measures of angles x and y in the figure.
y = 90° (linear pair)
x = 180° - (50° + 90°) [Angle Sum Property]
x = 180° - 140°
x = 40°
=》 x = 40° & y = 90°
______
Hope it helps ⚜
y=90°
x=40°
Step-by-step explanation:
y=90 because its in a linear pairx= 40 because of angle-sum property (180-50-90=40)will give brainliest
Answer:
y=-2x+9
Step-by-step explanation:
You can eliminate one by one. Since it needs to go downward, it is negative, so B and C are eliminated. y=-5x+11 will have a completely different course, so it is y=-2x+9