Answer:
1. Triangular prism
5 faces6 vertices9 edges2. Trapezoidal prism
6 faces8 vertices12 edges3. Pentagonal prism
7 faces10 vertices15 edges4. Hexagonal prism
8 faces12 vertices18 edgesGiven the explicit formula, calculate the first four (4) terms.
1. f(n) = 9+8n
2. f(n)=8(n+1)-13
3. f(n)=65-9n
plz help me out
Answer:
Step-by-step explanation:
Given the following explicit formula, we are to calculate the first four (4) terms of the sequence.
1) f(n) = 9+8n
When n = 1
f(1) = 9+8(1)
f(1) = 17
when n = 2
f(2) = 9+8(2)
= 9+16
= 25
When n = 3
f(3) = 9+8(3)
f(3) = 33
when n = 4
f(4) = 9+8(4)
= 41
= 25
The first four terms are 17, 25, 33 and 41
2) f(n) = 8(n+1)-13
When n = 1
f(1) = 8(2)-13
f(1) = 3
when n = 2
f(2) = 8(3)-13
= 24-13
= 11
When n = 3
f(3) = 8(4)-13
f(3) = 32-13
= 19
when n = 4
f(4) = 8(5)-13
= 40-13
= 27
The first four terms are 3, 11, 19 and 27
3) f(n) = 65-9n
When n = 1
f(1) = 65-9(1)
f(1) = 56
when n = 2
f(2) = 65-9(2)
= 65-18
= 47
When n = 3
f(3) = 65-9(3)
f(3) = 65-27
= 38
when n = 4
f(4) = 65-9(4)
= 65-36
= 29
The first four terms are 56, 47, 38 and 29
Please help! Correct answer only!
In a raffle, one ticket out of 1,000 will win a $870 prize, one ticket will win a $820 prize, and one ticket will win a $740 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " ⇒ $ 1.56 ; Type in 1.56
Step-by-step explanation:
Consider the steps below;
[tex]Tickets That Can Be Entered - 1 Ticket,\\Total Tickets Entered - 1000 Tickets,\\\\Proportion - 1 / 1000,\\Money One ( First Ticket ) = 820 Dollars,\\Money One ( Second Ticket ) = 740 Dollars,\\\\Proportionality ( First ) - 1 / 1000 = x / 820,\\Proportionality ( Second ) - 1 / 1000 = x / 740\\\\1 / 1000 = x / 820,\\1000 * x = 820,\\x = 820 / 1000,\\x = 0.82,\\\\1 / 1000 = x / 740,\\1000 * x = 740,\\x = 740 / 1000,\\x = 0.74\\\\Conclusion ; " Expected Payoff " = 0.82 + 0.74 = 1.56[/tex]
Solution; " Expected Payoff " ⇒ $ 1.56
The discriminant of 2x² + √32 x - 2 is
Answer:
The answer is 48.
Step-by-step explanation:
The formula for discriminant, D = b² - 4ac. Then you have to substitute the following values into the formula :
[tex]D = {b}^{2} - 4ac[/tex]
[tex]let \: a = 2 \\ let \: b = \sqrt{32} \\ let \: c = - 2[/tex]
[tex]D = {( \sqrt{32} )}^{2} - 4(2)( - 2)[/tex]
[tex]D = 32 + 16[/tex]
[tex]D = 48[/tex]
use the vector w=3\sqrt(2)i+\sqrt(2)j to find 2w
Answer:
The answer is "[tex]\bold{6\sqrt(2)i+2\sqrt(2)j)}[/tex]"
Step-by-step explanation:
Given:
[tex]w=3\sqrt(2)i+\sqrt(2)j[/tex]
To Find:
2w=?
Solution:
[tex]\Rightarrow 2w= 2\times w\\\\\Rightarrow 2w= 2\times (3\sqrt(2)i+\sqrt(2)j)\\\\\Rightarrow 2w= 6\sqrt(2)i+2\sqrt(2)j)\\[/tex]
Abdul drove four trips that totalled 426 km. The second trip was 4 less than double the first. The third trip was double the second and the fourth trip was 18 more than triple the first. How far was each trip? Please help!!!
Answer:
Let the first trip be x
Second trip is 2x-4
Third trip is 2(2x-4)
Fourth trip is 3x + 18
x + (2x-4) + 2(2x-4)+3x+18 = 426
x + 2x -4 + 4x - 8 + 3x + 18 = 426
10x + 6 = 426
10x = 426-6
x = 420/10 = 42 km
Second trip was
2x-4 = 2(42)-4 = 84-4 = 80 km
Third trip was
2 * 80 = 160 km
Fourth trip was
3(42) + 18 = 144 km
How many edges does the following shape have?
The line AB had midpoint (2, 5).
A has coordinates (1, 2).
Find the coordinates of B.
Answer:
The line AB, with A(Ax, Ay), B(Bx, By) and midpoint M(Mx, My) satisfying:
Ax + Bx = 2Mx
Ay + By = 2My
=>
2 + Bx = 2*1
5 + By = 2*2
=> Bx = 0
=> By = -1
=> B(0, -1)
Hope this helps!
:)
Answer:
B(3, 8 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]
let the coordinates of B = (x, y ), then
[tex]\frac{1}{2}[/tex](1 + x) = 2 ( multiply both sides by 2 )
1 + x = 4 ( subtract 1 from both sides )
x = 3
and
[tex]\frac{1}{2}[/tex] (2 + y) = 5 ( multiply both sides by 2 )
2 + y = 10 ( subtract 2 from both sides )
y = 8
Thus
coordinates of B = (3, 8 )
The ordered pair (a, b) gives the location of point P on the coordinate plane. The value of aaa is 0, but b is not zero. Where could point P be located on the coordinate plane?
Answer:
On the y-axis line
Step-by-step explanation:
Given the location (a,b) of the point P on the coordinated plane.
If a=0
Then the location of P on the x-axis is at x=0
Since b is not equal to zero, b could be positive or negative.
Therefore, the point P could be located on the positive y-axis or the negative y-axis,
It must be exactly on the line.
Help me please on this question
Answer:
Step-by-step explanation:
Given : QP║RT and QR║US
To prove: ∠1 ≅ ∠5
Statements Reasons
1). QP║RT 1). Given
2). QR║US 2). Given
3). ∠1 ≅ ∠2 3). Alternate angles
∠2 ≅ ∠5
4). ∠1 ≅ ∠5 4). Transitive property
Reasons for third step,
PQ║RT and QR is a transverse therefore, ∠1 and ∠2 will be alternate angles.
Similarly, QR║US and RT is a transverse therefore, ∠2 and ∠5 will be the alternate angles.
Please help me with my math question!!!!
Answer:
No.
Step-by-step explanation:
It is because a line is said to be perpendicular to another line if the two lines intersect at a right angle or at 90° and the two lines in the graph does not intersect at 90° angle..
mark brianliest if my answer suit your question..
The diagram below is a scale drawing of a building and the parking lot outside of it. A scale factor of 1cm= 6ft was used to make the drawing
What is the area of the parking lot
Plz help this makes no sense to me
Answer:
8,181 ft^2
Step-by-step explanation:
Area of the parking lot = Area of the whole structure - Area of the building
The building is a square of 12cm by 12cm
which is 72ft by 72ft since 1 cm is 6 ft
its area is thus 72 * 72 = 5,184 ft^2
The structure measures 16.5 cm by 22.5 cm
Multiplying the sides by 6, we have 99 ft by 135 ft
So its area is 99 * 135 = 13,365 ft^2
The area of the parking lot = 13,365 - 5,184 =
8,181 ft^2
Which of the following is not a case of direct variation?a Number of sheets of some kind and increased when their total weight its inceased. b More quantity of petrol is required to travel more distance with a fixed speed. c More fees would be collected if number of students increased in a class. d Time taken will be less if number of workors are increased to complete the same work.
Answer:
Step-by-step explanation:
If two variables, x and y have a direct variation, it means that an increase in x would lead to a corresponding increase in y. A decrease on x would lead to a corresponding decrease in y.
Therefore, we would compare the scenarios to determine which is not a direct variation. The correct option is
d) Time taken will be less if number of workers are increased to complete the same work.
The rest are direct variation scenarios
Can you please help me
Answer:
Supplementary angle = 98°
Complementary angle = 8°
Step-by-step explanation:
By definition, sum of complementary angles is equal to 90°.
Therefore, complementary angle of 82° = 90° - 82°
= 8°
Similarly, sum of supplementary angles is equal to 180°.
Therefore, supplementary angle of 82° = 180° - 82°
= 98°
The supplementary angle 98°
The complementary angle 8°.
I need help please!! Identify the solution for the system of equations graphed here.
A. (1,1)
B. (-1,1)
C. (1,-1)
D. (-1,-1)
Answer:
C. (1,-1)
Step-by-step explanation:
Lines are intersecting each other at point (1, - 1).
Hence, the system of equations graphed here would be (1, - 1)
what is 25,00+30,00=
Answer:
5,500
Step-by-step explanation:
2,500 + 3,000:
2000 + 3000 + 500
5000 + 500
5500
Easy!
some teachers travelled to school by car the table shows the number of teachers in the cars a)what was the modal number of teachers in the cars b) what was the median number of teachers in the cars c) what was the mean number of teachers in the cars
Answer:
WE need the numbers
Step-by-step explanation:
a
Answer:
a)3
b)3
c)?
Step-by-step explanation:
Finn's pool leaked a total of 3.5 liters in 4 days. What rational number represents the average change in water volume each day?
Answer:
The rational number representing the average change in the volume of water each day is:
[tex]\frac{0.875 liters}{1 day}[/tex]
Step-by-step explanation:
Rational numbers are those that can be represented as the quotient of two integers. That is, rational numbers can be represented by a fraction [tex]\frac{a}{b}[/tex], where a is the numerator and b is the denominator that must be other than zero. To express the set of these numbers, mathematicians use a capital Q.
In this case we know that Finn's pool leaked a total 3.5 L in 4 days, so the rate can be written as:
[tex]\frac{3.5 liters}{4 days}[/tex]
Now you must make this division or quotient, where the denominator will be 1 because you must know the number of liters drained per day:
[tex]\frac{3.5 liters}{4 days}=\frac{0.875 liters}{1 day}[/tex]
So the rational number representing the average change in the volume of water each day is:
[tex]\frac{0.875 liters}{1 day}[/tex]
0.3y-0.3=0.4-0.4y
A=7
B=-1
C=-7
D=1
Answer: The answer is D: 1 (Vote me brainliest)
Answer:
y=1
Step-by-step explanation:
0.3y-0.3=0.4-0.4y
+0.4y
0.7y-0.3=0.4
+0.3
0.7y=0.7
-----
0.7
y=1
what is 15 minutes to 1 hour
Answer:
1:4 or 25% or 1/4
Step-by-step explanation
There are 60 minutes in an hour and 60 divided by 15 is four. So basically, 15 minutes is 1/4 of an hour, 25% of an hour, and 1:4 of an hour.
in a Gallup youth survey done in 2000, 501 randomly selected American teenagers were asked how well they get along with their parents. A survey result was that of 270 teenagers said they get along "very well" with their parents. Use this to estimate the proportion who would say they got along "very well" with their parents, including a margin of error.
The margin of error would be 1 / √n, where n is the number of students asked.
Margin of error = 1/√501 = 0.0446
Multiply by 100 to change to a percent:
0.446 x 100 = 4.46%
Rounding may be off slighly, so it looks like b would be the correct answer.
PLEASE HELP. A Ferries wheel has a diameter of 100 ft. The center of the wheel is 60 feet off the ground. If it takes the Ferries wheel 12 seconds to make a full rotation, find the height of a rider 2 seconds after he passes position A, the right most point on the wheel.
Answer choices:
A. 103.30 ft
B. 80.34 ft
C. 74.40 ft
D. 101.96 ft
Answer:
lresaputa es la C
Step-by-step explanation:
What is the sale price of an item that was originally $20 with a 20%
discount? *
HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed
Answer:
B
Step-by-step explanation:
The x term is 1 in all the pairs this would form a horizontal line (x=1)
Answer: C) ((-2,7), (0,12), (1,4), (1,5)
Step-by-step explanation: An ordered pair will usually have a pattern that'll repersent a linear function. Out of all of the options only C as a constant pattern.
I hope this helps!
The 3rd and 6th term of a
linear sequence are 16 and
34 respectively. Find the
sum of the first six terms.
Answer:
hope this helps
Enzo drew Triangle K L N. In Enzo's triangle, Measure of angle K is represented as x degrees. The measure of Angle L is 5 times Measure of angle K. The measure of Angle N is 16 degrees less than 8 times Measure of angle K. Which statements must be true about the angle measures of Enzo's triangle? Check all that apply. Measure of angle K = x degrees Measure of angle L = (5 x) degrees Measure of angle N = (16 minus 8 x) degrees Measure of angle K + measure of angle L = measure of angle N Measure of angle K + measure of angle L + measure of angle N = 180 degrees
Answer: (1) Measure of angle K = x degrees
(12) Measure of angle L = (5x) degrees
(3) Measure of angle k + Measure of angle L + Measure of angle N = 180 degrees
Step-by-step explanation: First of all, what we have is a triangle, and one of the properties of a triangle is all three angles add up to 180 degrees. This simply means that the addition of angles K and L and N would be equal to 180 degrees.
The question states that angle K is represented as x degrees, and angle L is 5 times the measure of angle K. Therefore, if K is x degrees, then L is 5 times x, which becomes 5x degrees. Also, angle N is given as 16 degrees less than 8 times the measure of angle K (x degrees). Eight times the measure of angle K is given as 8x. Sixteen degrees less than 8x would now become, 8x - 16 (degrees). Therefore, the angles have been derived as;
Angle K = x degrees
Angle L = 5x degrees
Angle N = 8x - 16 degrees
Having known that one of the properties of any triangle is all angles adding up to 180 degrees, we can now derive the following equation;
x + 5x + 8x - 16 = 180
14 x - 16 = 180
Add 16 to both sides of the equation
14x = 196
Divide both sides of the equation by 14
x = 14
Therefore, angle K = 14 degrees (x), angle L = 70 degrees (5x) and angle N = 96 degrees (8x - 16)
*14 + 70 + 96 = 180*
Answer:
145
Step-by-step explanation:
Factorize the following expression ab-a-b+1
Group 'em together
a b − a + 1 − b
a b − a = a ( b − 1 )
Notice that there will be a 1 as without it it'll simply be ab
1 − b = 1 ( 1 − b )
Notice that it doesn't match with the upper one... so we'll change the signs
1 ( 1 − b ) = − 1 ( b− 1 )
(try to multiply them now!!
Jot them down in one expression
a ( b − 1 ) − 1 ( b − 1 )
You get!!!!!!
( a − 1 ) ( b − 1 )
In a 2012 city election 33% of the eligible voters voted if there were 2500 eligible voters approximately how many people voted round your answer to the nearest whole number
Answer:
825 people
Step-by-step explanation:
In the City where the election came up, 33% of the eligible voters voted
It is observed that there are 2500 eligible voters approximately.
The people who voted in 2012 is =
33/100 * 2500
=825 People
In 2012, the total number of people who voted in the city is 825 people
Find the surface area.
Evaluate the expression below when x = 9 and y = 12.
4(x + 6) - 3(y + 4)
< Salir
Topic 14 Online Assessment
Esperado 06/10/20 11:59 pm
00:00
Kurt and Drew walk the same distance to school. Their start and end times are different.
Who got to school faster, and by how many minutes?
Kurt
Answer:
Option C.
Step-by-step explanation:
Kurt started for the school at 07:35 and ends at 08:25.
Time taken by Kurt to reach the school
= 08:25 - 07:35
= (07 hours + 85 minutes) - (07 hours + 35 minutes) [Since 08 hours + 25 minutes = 07 hours + (60 + 25)minutes]
= 85 minutes - 35 minutes
= 50 minutes
Time taken by Drew to reach the school
= 08:30 - 07:55
= (07 hours + 90 minutes) - (07 hours + 55 minutes) [Since 08 hours + 30 minutes = 07 hours + (60 + 30)minutes]
= 90 minutes - 55 minutes
= 35 minutes
Difference in the time taken by Kurt and Drew = 50 - 35 = 15 minutes.
Therefore, Drew is 15 minutes faster than Kurt.
Option C. is the answer.