Answer:
[tex]\large\boxed{{\sf \left \{ {{t_1 = -10} \atop {t_n = -2t_{n-1}}} \right. }}[/tex]
Explanation:geometric sequence: [tex]\sf a_n = a_{n-1} \ x \ r[/tex] where "r" is common ratio
[tex]\sf a_1 =a[/tex]Find "r" = second term ÷ first term = 20 ÷ -10 = -2
Recursive rule:
[tex]\boxed{\sf t_n = r(t_{n-1})}[/tex]
[tex]\large\boxed{{\sf \left \{ {{t_1 = -10} \atop {t_n = -2t_{n-1}}} \right. }}[/tex]
What equation would you use to solve for x?
Answer:
x² + 6.8² - 10.6²
Step-by-step explanation:
This is probably wrong there
Answer:
First option [tex]x^{2} +6.8^{2} -10.6^{2}[/tex]
Step-by-step explanation:
[tex]x^{2} +6.8^{2} -10.6^{2}=0[/tex]
[tex]x^{2} =10.6^{2} -6.8^{2}[/tex]
10.6 = hypotenuse, 6.8 and "x" are cathets
Hope this helps
If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?
Answer:
$172,984.44
Step-by-step explanation:
We can use the formula
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex] to compute the final amount
Here P is the principal amount, the original deposit = $25,000
r is the annual interest rate = 6.5% = 0.065 in decimal
n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year
t is the number of time periods ie 30 years
A is the accrued amount ie principal + interest
Computing different components,
[tex]nt = 4 \times 30 = 120[/tex]
[tex]r/n = 0.065/4 = .01625[/tex]
[tex]1 + r/n = 1.01625[/tex]
[tex](1 + r/n)^{nt} = 1.01625^{120}[/tex]
Therefore
[tex]A = 25000 \times 1.0625^{120} = 172,984.44[/tex]
Answer:
You will have $172,984.44
Pema is 85 months old and Rinzin is 7⅔ years old. who is older? How do you know?
help me slove this please
Answer:
Rinzin is older
Step-by-step explanation:
The reason is that since you probably already know that there are 12 months in a year it would be 85/12=7.0833 years and 23/12=7.666 so that makes rinzin older
Hope that helps :)
Pema is older than Rinzin if Pema is 85 months old and Rinzin is 7⅔ years old.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Pema is 85 months old and
Rinzin is 7⅔ years old.
We have to check who is older.
We know that 1 year = 12 months
So if 85 months are conveted to years by dividing 85 by 12
Pema, 85/12 years= 7.08 years
Rinzin, 7⅔ years = 7.06 years
We know that 7.08>7.06
Hence, Pema is older than Rinzin if Pema is 85 months old and Rinzin is 7⅔ years old.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
pls help
find f(p-5)
[tex]\text{Given that,}~f(j) = -5j-4\\\\f(p-5) = -5(p-5) -4\\\\~~~~~~~~~~~~=-5p+25-4\\\\~~~~~~~~~~~~=-5p+21[/tex]
Y=-2X, Y=5X+3 how do I solve this equation using substitution or elimination
Answer:
y= -2x........eqn i
y=5x+3......eqn ii
substituting the value of Y from eqn i in eqn ii, we get,
-2x=5x+3
-7x=3
x= -3/7
so, y= -2x= -2× (-3/7)
so, y= 6/7
please helpp me with this
Answer:
585 m^2.
Step-by-step explanation:
Surface area = area of base + 4 * area of a triangular side
= 13^2 + 4 * 1/2 * 13 * 16
= 169 + 26 * 16
= 585
Answer:
585 m²
Step-by-step explanation:
The surface area of the given pyramid is made up of 4 congruent triangles and a square base.
Area of a triangle = 1/2 × base × height
= 1/2 × 13 × 16
= 104 m²
Area of a square = (base edge)²
= 13²
= 169 m²
Total Surface Area = area of 4 triangles + area of base square
= (4 × 104) + 169
= 416 + 169
= 585 m²
Kathleen says that all quadrilaterals have right angles. Grace says that quadrilaterals do not have to have right angles. Explain who is correct.
Answer: Grace is correct because a rhombus does not have right angles
Step-by-step explanation:
Grace's assertion is on point. Right angles are not present in all quadrilaterals.
What is quadrilateral?A quadrilateral in geometry is a four-sided polygon with four edges and four corners.
As per the definition of Quadrilateral and rectangle, the rectangle is the type of quadrilateral that has 4 right angles.
Other varieties of quadrilaterals consist of:
Trapezium: Doesn't must have four right angles, but has one pair of opposite sides that are parallel.
A parallelogram has four right angles, but not necessarily two sets of opposite sides that are parallel.
All four sides of a rhombus are equal in length, although there aren't always four right angles.
Kite: Does not must have four right angles, but two adjacent pairs of sides that are equal in length.
Therefore, Grace's assertion is right.
To learn more about the quadrilaterals;
https://brainly.com/question/6321910
#SPJ3
A freight elevator can hold a maximum weight of 3,500 pounds.
A deliveryman weighs 200 pounds. He is delivering cartons that each
weigh 48 pounds. He wants to know how many cartons he can safely
put on the elevator at one time. Let c represent the number of cartons.
Answer:
C
Step-by-step explanation:
[tex]200 + 48c \leqslant 3500[/tex]
[tex]48c \leqslant 3300[/tex]
[tex]c \leqslant 68.75[/tex]
What is the simplest form of StartRoot 3,025 EndRoot?
16
55
52(112)
52+(112)
A function and its inverse are shown on the graph. Which statement describes the relationship between the function and its inverse? The range of both f(x) and f–1(x) is all real numbers. The domain of both f(x) and f–1(x) is all real numbers. The range of f(x) is y > 0 and the domain of f–1(x) is x > 0. The domain of f(x) is x > 0 and the range of f–1(x) is y > 0.
Answer:
Option (C)
Step-by-step explanation:
Domain of function is defined by the set of x-values (input values) and Range of a function is a set of y-values (output values).
From the graph attached,
Domain of f(x) → Set of all real numbers
Range of f(x) → y-values > 0
Domain of [tex]y > 0[/tex] → Set of all real numbers
Range of [tex]y > 0[/tex] → y < 2
Therefore, domain of both the functions is a set of all real numbers.
Option (C) is the correct option.
Answer:
Its c
Step-by-step explanation:
I just did the test on edge
If you were to track coffee preferences among your co-workers for the next two weeks, which type of statistical study would you be performing? (statistics)
Answer:
Well I would say inferntial because its more testing your hyptohsis between two friends to see which coffe they like more
Which equation can be used to determine the value of x?
(6x + 2) + 40 = 90
(6x +2) + 40 = 180
None of these
(6x + 2) = 40
All of these
Complementary angles have sum 90°
Hence
6x+2+40=90Option A
6x+42=1806(x+7)=6(30)x+7=30x=23Answer:
A)(6x + 2) + 40 = 90
Step-by-step explanation:
(for convenience, I have labelled it with alphabets)
Line ED has crossed line AB perpendicularly resulting [tex]\angle BFC[/tex] and [tex]\angle CFD[/tex] complimentary to each other. That means
[tex]\angle BFC+\angle CFD=90^{\circ}[/tex]
Here:
[tex]\angle BFC=(6x+2)^{\circ}[/tex] [tex]\angle CFD=40^{\circ}[/tex]Hence,
The equation can be used to determine the value of x is
(6x + 2) + 40 = 90In conclusion
Our answer is A)
Write a simplified expression that represents the...
a. area of the large rectangle.
b. area of the small rectangle.
c. area of shaded region.
Answer:
See below
Step-by-step explanation:
a.
Area of the large rectangle = (6 + x) (6 - x)->Area of the large rectangle [tex]=(6)^2-x^2[/tex]-> Area of the large rectangle [tex]= 36-x^2[/tex]b.
Area of the small rectangle = (2 + x) (2 - x)->Area of the small rectangle [tex]=(2)^2-x^2[/tex]->Area of the large rectangle [tex]= 4-x^2[/tex]c.
Area of shaded region = Area of the large rectangle - Area of the small rectangle-> Area of shaded region [tex]=( 36-x^2)-(4-x^2)[/tex]-> Area of shaded region = [tex]=36-x^2-4+x^2[/tex]-> Area of shaded region [tex]=32 \:units^2[/tex]13 Answer:
Solve by using a proportion. If your answer does not come out evenly,
round it to the nearest hundredth: You drive 132 miles in 3 hours. At
that speed, how many hours would it take you to drive 110 miles? _____
14 Answer:
Change to a fraction, whole number, or mixed number. Give the answer in
simplest form: 60% = _____
15 Answer:
Change to a fraction, whole number, or mixed number. Give the answer in
simplest form: 300% = _____
16 Answer:
Change to a fraction, whole number, or mixed number. Give the answer in
simplest form: 116 2/3% = _____
17 Answer:
Change to a fraction, whole number, or mixed number. Give the answer in
simplest form: 19% = _____
18 Answer:
Change to a fraction, whole number, or mixed number. Give the answer in
simplest form: 3.8% = _____
19 Answer:
Change to a fraction, whole number, or mixed number. Give the answer in
simplest form: 166 2/3% = _____
20 Answer:
Change to a percent: 4/5 = _____
21 Answer:
Change to a percent: 7/4 = _____
22 Answer:
Change to a percent: 1/3 = _____
23 Answer:
Change to a percent: 2 = _____
24 Answer:
Change to a percent: 0.4 = _____
25 Answer:
Change to a percent: 0.375 = _____
26 Answer:
Solve: 80% of 60 = n n = _____
27 Answer:
Solve: 24% of 65 = n n = _____
28 Answer:
Solve: 115% of 138 = n n = _____
29 Answer:
Solve: 18.3% of 74 = n n = _____
30 Answer:
Solve: 6.5% of 115 = n n = _____
31 Answer:
Solve: 0.75% of 93 = n n = _____
Step-by-step explanation:
13.
132 miles in 3 h = 132miles/3hours = 132/3 miles/h =
= 44 miles/h
so,
how long for 110 miles ?
speed = distance/time
time = distance/speed = 110 miles / 44 miles/h =
= 110/44 h = 55/22 h =
= 5/2 h = 2.5 h
14.
60% = 60/100 = 6/10 = 3/5
15.
300% = 300/100 = 3
16.
116 2/3% = (348 + 2)/3% = 350/3% = 350/3/100 =
= 350/300 = 1 50/300 = 1 1/6
17.
19% = 19/100
18.
3.8% = 3.8/100 = 38/1000 = 19/500
19.
166 2/3% = (498 + 2)/3% = 500/3% = 500/3/100 =
= 500/300 = 5/3 = 1 2/3
20.
4/5 = 0.8 = 80%
21.
7/4 = 1.75 = 175%
22.
1/3 = 0.3333333... ≈ 33.33%
23.
2 = 200/100 = 200%
24.
0.4 = 40%
25.
0.375 = 37.5/100 = 37.5%
26.
80% of 60 = 60×80/100 = 60×4/5 = 48
27.
24% of 65 = 65×24/100 = 65×6/25 = 13×6/5 =
= 15.6
28.
115% of 138 = 138×115/100 = 138×23/20 =
= 69×23/10 = 158.7
29.
18.3% of 74 = 74×18.3/100 = 74×183/1000 =
= 37×183/500 = 13.542 ≈ 13.54
30.
6.5% of 115 = 115×6.5/100 = 115×65/1000 =
= 23×13/40 = 7.475 ≈ 7.48
31.
0.75% of 93 = 93×0.75/100 = 93×75/10000 =
= 93×3/400 = 0.6975 ≈ 0.70
Sam wants to rent a boat and spend less than $37. The boat costs $6 per hour, and Sam has a discount coupon for $5 off. What are the possible numbers of hours Sam could rent the boat? Use t for the number of hours. Write your answer as an inequality solved for t.
What is the slope of the line?
m=
Answer:
The slope is [tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
Standard form for a linear equation/graph:
[tex]y = mx + b[/tex]
[tex]m[/tex] is the slope, and [tex]b\\[/tex] is the Y- intercept (basically where the graph crosses the y axis).
[tex]m[/tex] can be shown by a fraction: [tex]\frac{Rise}{Run}[/tex]
In this graph, measuring from the two points of contact, the rise is 4 and the run is -3. If the graph moves towards the left while rising, then the run part of the slope should be negative, and vice versa.
Thus, the slope of this graph is [tex]-\frac{4}{3}[/tex]
Here's the function for the line if you need it:
[tex]y = - \frac{4}{3} x + 3[/tex]
if you have a 12 side die and a 6 side die what is the probrability it lands on 5
Answer:
For the 12 sided one it would be 1/12
For the 6 sided one it would be 1/6
Combine those together and it would be 3/12 which is equal to 1/4
Step-by-step explanation:
Suppose A and B are dependent events. If P(AIB) = 0.55 and P(B) = 0.3, what is P(AB)?
A. 0.22
B. 0.11
C. 0.165
D. 0.275
Answer: C. 0.165
Step-by-step explanation:
The value of P(A∪B) = 0.835
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
Given that, A and B are dependent events. If P(AIB) = 0.55 and P(B) = 0.3,
0.55 = P(A∩B) / 0.3
P(A∩B) = 0.165
P(A) = 1-P(B)
P(A) = 1-0.3
P(A) - 0.7
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∪B) = 0.3+0.7-0.165
P(A∪B) = 0.835
Hence, the value of P(A∪B) = 0.835
Learn more about probability, click;
https://brainly.com/question/30034780
#SPJ7
Im giving another 100 points to any who can solve this question for me please.
Find the missing values. Leave answers in simplified radical form.
Answer:
r and t both = [tex]2\sqrt{2}[/tex]
o = 9
f = 18
Step-by-step explanation:
Solve the following equation. 14 = w2
What is the area of the regular polygon shown below?
What is the last number in the 9th line
44 is the last number
most likely
Solve the system of two linear inequalities graphically.
2x +4y <-16
x ≥ 2
graph the solution set of the first linear inequality
Answer:
See attachment
Step-by-step explanation:
Isolate y in the first inequality:
[tex]2x + 4y < -16\\4y < - 16 -2 x\\y < -4 -\frac{1}{2} x\\y < -\frac{x+8}{2} \\[/tex]
Now, with both x and y inequalities found, graph it.
Determine whether the sequence is arithmetic, geometric or neither.
0.25, 2, 16, 128, 1024
The equation of a circle is x 2 + y 2 + 6 y = 7 x 2 + y 2 + 6 y = 7 . What are the coordinates of the center and the length of the radius of the circle?
Answer:
Vertex: (0,-3)
Radius: 4
Step-by-step explanation:
Complete the square
[tex]x^2+y^2+6y=7\\\\x^2+y^2+6y+9=7+9\\\\x^2+(y+3)^2=16[/tex]
The equation of a circle takes the form of [tex](x-h)^2+(y-k)^2=r^2[/tex] where its center is [tex](h,k)[/tex] and its radius is [tex]r[/tex].
Hence, the vertex is [tex](0,-3)[/tex] and the radius is [tex]4[/tex].
A triangle has sides with lengths of 10 millimeters, 25 millimeters, and 28 millimeters, is it a right triangle
Answer:
No, it is not a right triangle.
Step-by-step explanation:
Let's take it as,
→ Hypotenuse = 28 mm
→ Perpendicular = 25 mm
→ Base = 10 mm
Now use Pythagoras theorem,
→ Hypotenuse² = Perpendicular² + Base²
→ 28² = 25² + 10²
→ 784 = 625 + 100
→ 784 ≠ 725
→ [ LHS ≠ RHS ]
Hence, it does not forms a right triangle.
Write 3 16/15 as a percent.
Answer:407%
Step-by-step explanation:
Solve: h9 = 2781
this is a fun fact belh bla
Answer:
309
Step-by-step explanation:
2781/9
The expression's 30^2-150x-60 and (5x-20)(6x+3) define the same function, f.
a. Which expression make it easier to find f(0)? Explain your reasoning
b.find f(0)
Answer:
[tex]30x^{2} -105x+60[/tex]
Step-by-step explanation:
I just solved it.
(5x-20)(6x+3)
5x•6x=30x^2
5x•3=15x
-20•6x=-120x
-20•3=-60
Pls give Brainliest.
A sphere is properly defined as a ball
Answer:
Yes
Step-by-step explanation:
Some examples:
1. Bowling balls
2. Basketball balls
3. Volleyball balls
4. Tennis balls
