Answer:
The fourth term of the sequence B(4) =-8
The sequence is 1,-2,4,-8...
Step-by-step explanation:
Explanation:-
Given that the sequence
B(n) = 1(-2)ⁿ⁻¹
Put n=1
B(1) = 1(-2)¹⁻¹ = 2⁰ =1
Put n=2
B(2) = 1(-2)²⁻¹ = (-2)¹ =-2
Put n=3
B(3) =1(-2)³⁻¹ = (-2)² =4
Put n=4
B(4) = 1(-2)⁴⁻¹ =(-2)³ =-8
The sequence
1,-2,4,-8...
If triangle ACD is similar to triangle ABE, find the value of x?
The value of x and y from the given figure is 2.1 units and 4.5 units.
Given that, triangle ACD is similar to triangle ABE.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Here, AB=3, AC=5, BE=x, AE=y, ED=3 and CD=3.5
AD=AE+ED
AD=y+3
Now, AB/AC = AE/AD = BE/CD
So, 3/5 = y/(y+3) = x/3.5
⇒ 3/5 = x/3.5
⇒ 3×3.5=5x
⇒ 5x=10.5
⇒ x=10.5
⇒ x=2.1
3/5 = y/(y+3)
⇒3y+9 =5y
⇒2y =9
⇒y =4.5
Therefore, the value of x and y from the given figure is 2.1 units and 4.5 units.
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Vinita multiplies all numbers from 7 to 18. what is the no. obtained in the units digit of the final product
Answer:
0.
Step-by-step explanation:
First lets multiply all the numbers: 7 x 8 x 9 x 10 x 11 x 12 x 13 x 14 x 15 x 16 x 17 x 18. You'll get: 8892185702400. The units digit of this number is: 0.
Can ANYONE please answer this ?
Stefan borrowed $8,950
for an engagement ring. At
a 6.85% simple interest rate,
how much total will he have
paid after 6 years?
The amount after 6 years is $12,628.45
Simple interestThe formula for calculating the compound interest is expressed as:
I = PRT
P is the principal = $8,950r is the rate = 6.85% = 0.0685T is the tim = 6 yearsGet the interest
I = 8950 * 0.0685 * 6
I = $3,678.45
Amount after 6 years = 8950 + 3,678.45
amount after 6 years = $12,628.45Hence the amount after 6 years is $12,628.45
Learn more on simple interest here: https://brainly.com/question/25793394
  Please help this is due today please i really need help it’s due in 5 hours!!!
Given parallelogram FGHI determine the missing information
Don’t answer with one answer, blank or ridiculous answer please this is serious
Answer:
y = 3 cm and x = 2.5 cm
Step-by-step explanation:
As we can see it is a parallelogram so
y = 3 cm (being opposite sides of parallelogram)
Now while calculating the diagonal we can use the Pythagoras relation. i.e
perpendicular (p) = 4 cm (IH)
Base (b) = 3 cm (FI)
Hypotenuse (h) = FH = ?
We know by using Pythagoras theorem
h = √ p² + b²
= √ 4² + 3²
= √ 25
= 5 cm
Here we got FH = 5 cm
so the value of x will be 2.5 cm as the diagonal bisects.
Hope it will help :)
Describe the congruence transformation that maps quadrilateral ABCD to quadrilateral A'B'C'D'.
Question 27 options:
270° counterclockwise rotation
Reflection across the y-axis
90° clockwise rotation
90° counterclockwise rotation
Answer:
90 degree counterclockwise rotation
Step-by-step explanation:
After a 90° counterclockwise rotation, we get the required quadrilateral A'B'C'D'.
Hence the fourth option is correct.
The rotation of axes refers to a transformation in which the coordinate axes in a coordinate system are rotated to form new axes.
When we rotate the quadrilateral ABCD about 90 degrees counterclockwise,
The new position of vertices be,
A ⇒ B'
B ⇒ C'
C ⇒ D'
D ⇒ A'
Hence,
After this rotation, we get the required quadrilateral A'B'C'D' as shown in the figure.
Hence,
After 90° counterclockwise rotation we get such a triangle.
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Plz help its a riddle
Answer:
30
Step-by-step explanation:
the shoe=20
the person=5
the glasses=2
20+5×2
PEMDAS
5×2=10
10+20
=30
Answer:
The ans is 30
Step-by-step explanation:
the is shoe=20
the is person=5
the is glasses=2
20 shoes +5 people×2 glasses
5×2=10
10+20
=30
(hope this helps can i plz have brainlist :D hehe)
B/4+2=-1 plz help plz plz plz
Answer:
B = -12 (negative 12)
Step-by-step explanation:
b/4+2 =
-12/4 + 2 =
-3 + 2 = -1
hope this helped
Ed and Greg are working on their math homework. Ed says (2.0) is a solution to y < 4x - 8. Greg disagrees and says (2,0) is not a solution
Who is correct and why?
Answer:
sorry I dont know
Step-by-step explanation:
Recursive & Explicit Definitions
Consider the sequence:
2, 6, 18, 54, 162,
Determine the 15th term of the sequence.
9.565,938
3,188,646
2.430
28.597,814
Answer:
[tex]T_{15} = 9565938[/tex]
Step-by-step explanation:
Given
Sequence: 2, 6, 18, 54, 162,
Required
Determine the 15th term
The above sequence is a geometric sequence. So, first, we calculate the common ratio (r)
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]r = \frac{6}{2}[/tex]
[tex]r = 3[/tex]
The 15th term is calculated as thus:
[tex]T_n = ar^{n-1}[/tex]
Where
[tex]a = 2[/tex] and [tex]n = 15[/tex]
[tex]T_n = 2 * 3^{15-1}[/tex]
[tex]T_n = 2 * 3^{14}[/tex]
[tex]T_{15} = 2 * 4782969[/tex]
[tex]T_{15} = 9565938[/tex]
The 15th term is 9,565,938
plz answer this quickly i need this finished by tommorow
Answer:
The probability of landing on blue on spinner 1 is 3/8 theoretically. The probability of landing green on green on spinner 1 is 5/8 theoretically. The probability of landing on blue on spinner 2 is 2/6, which is 1/3. The probability of landing on either green or purple on spinner 2 is 3/6, or 1/2. The probability of landing on yellow on spinner 2 is 1/6. The probability of not landing on green on spinner 2 is 4/6, or 2/3. The experimental probability, you have to do, since only you can do that. So glad I can help, but can you please give me brainlist?
Maria and Connor are doing yard work for a neighbor. They make a total of $603.99. Since Connor works more hours than Maria, Connor gets 71% of the money. About how much (in whole dollars) does Connor make?
Pl help it’s for a grade
I am a quadrilateral. I have exactly one pair of parallel sides. I can be made with two right triangles and a square. What shape am I?
Answer:
Isosceles trapezoid
Step-by-step explanation:
-parallel lines on the base and top
-4 sides and 4 vertices (quadrilateral)
when split up there are two right triangles and a square
Hope this helps!
Answer:
Trapezoid?
Step-by-step explanation:
< + Square + >
length in the boundary of any figure is called
Answer:
perimeter
Step-by-step explanation:
Perimeter is the distance around a two dimensional shape, a measurement of the distance around something; the length of the boundary.
I need help pls I don't understand how to do this I will mark you brainliest if you answer correctlyy
Answer:
The first restaurant is a better deal.
Step-by-step explanation:
First restaurant: Let's say there are 2 people. 28 x 2 = 56. You would have to pay $56 for 2 people.
Second restaurant: Let's say there are 2 people. The graph says that you would have to pay $60 for 2 people.
Therefore, the first restaurant is a better deal.
Imani spent half of her weekly allowance playing mini-golf. To earn more money, her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
as an equation
Answer:
$16
Step-by-step explanation:
This method is probbaly working backwards. I'm not sure.
12 - 4 = 8 (How much she was left with if she didn't wash the car for 4 dollars)
8 x 2 = 16 (They mentioned she spent half of her weekly allowance)
Pls help this is my last points
Answer:
520 - 10x = 380
Step-by-step explanation:
x= 14
Answer:
520-10x=380
x = 14
Step-by-step explanation:
A disc has a radius of 31 cm. What is the circumference of
the disc, rounded to the nearest whole number? (Convert the
fraction to a decimal)
A.38 cm.
B.154 cm
C.22 cm
D.11 cm
Answer:
22 cm
Step-by-step explanation:
radius is 3 1/2 cm, which is 3.5 in decimal form
the circumference comes out to be 21.99, which is rounded to 22.
Find the area of the composite shape.
136 square cm
160 square cm
208 square cm
112 square cm
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the sum of present ages of Anil and Sunil is 22 years. if anils present age is one-half of sunils present Age plus 4 years .find their present age
Answer:
A+S=22
A=S/2+4
Multiply second equation by 2 and rearrange.
2A-S=8
Add equations 1 and 3.
3A=30
A=10
Substitute for A in either of the first 2 equations to get
S=12
Step-by-step explanation:
Seth's family plans to drive 280 miles to their vacation spot. They would like to complete the drive in 5 hours.
Find the average speed in miles per hour needed to make the trip in the desired time.
Answer:
miles per hour.
Answer:
56 miles per hour
Step-by-step explanation:
I just divided 280 into 5
hope that helps:)
the store offers a 20% discount, The t- shirt is $18 and the discounted price is $3.60 ?
If the regular price for an item is x dollars, what is the discounted price? (Hint: write an expression)
Look up "Everything You Need To Know About (Your Subject) In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught in it so it might help you.
g Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential equation (in lb/min) for the amount of salt A(t) (in lb) in the tank at time t > 0. (Use A for A(t).)
Answer:
the required differential equation is dA/dt - [tex]\frac{2A}{t+500}[/tex] = 6
A(0) = 50lb
Step-by-step explanation:
Given the data in the question;
A(t) is the mass of the salt in in the tank at time t
the new volume of the solution in the tank increases by one gallon each minute
so
dA/dt = ( Rate in) - ( Rate out)
dA/dt = ( 3 gal/min × 2 lb/gal ) - ( 2 gal/min × [tex]\frac{A}{t+500}[/tex] lb/gal )
dA/dt = 6 - [tex]\frac{2A}{t+500}[/tex]
dA/dt - [tex]\frac{2A}{t+500}[/tex] = 6
A(0) = 50lb
Therefore, the required differential equation is dA/dt - [tex]\frac{2A}{t+500}[/tex] = 6
A(0) = 50lb
What is the value of the expression shown below?
7 + (10 − 4)2 ÷ 4 × 1 over 2 to the power of 3
A rectangular room is 14 feet by 20 feet. A rectangular rug is placed in the room so that a 2-foot border of floor around the edge of the room is not covered by the rug. What is the area of the rug?
Answer:
the rug should be 10 feet by 16 feet
this makes the area 160 foot squared
Step-by-step explanation:
there is a 2 foot border on each side so the total area loses 4 feet from length. this gives 10 feet by 16 feet.
160
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Shereena made the following table she can’t decide if it’s arithmetic or geometric sequence look at the picture bellow and answer the two questions pleaseeeeee
Answer:
Step-by-step explanation:
The characteristic of geometric sequences is that any term divided by the previous term is a constant, called the common ratio. Each term in this sequence is 2 times the previous term. In this case the sequence is an=2(2)^x.
If it were an arithmetic sequence any term subtracted by the previous term would be constant, called the common difference.
5 x − 1 ≤ 2 Give your answer as a fraction in its simplest form
Answer:
x ≤ 3/5
Step-by-step explanation:
5 x − 1 ≤ 2
Add 1 to each side
5 x − 1+1 ≤ 2+1
5 x ≤ 3
Divide each side by 3
5 x /5 ≤ 3/5
x ≤ 3/5
plz help ill give brainliest plzzz