Beginning at 8:30 A.M., tours of the National Capitol and
the White House begin at a tour agency. Tours for the
National Capitol leave every 15 minutes. Tours for the
White House leave every 20 minutes.
a) How often do the tours leave at the same time?
b) When is the next time the two tours will leave at
the same time?
Answer:
Step-by-step explanation:
if both tours start at 8:30 A.M, the NC (National Capitol) 8:45, and the WH (White House) leaves at 8:50.
NC
08:45 08:50
09:00 09:10
09:15 09:30
09:30 09:50
09:45 10:10
10:00 10:30
10:15 10:50
10:30 11:10
10:45
11:00
Both tours leave at 9:30, and then away at 10:30.
They leave at the same time every hour.
Find the volume of a cone with a base diameter of 8 in and a height of 6 in. Write the exact volume in terms of pi, and be sure to include the correct unit in your answer.
Volume of a cone = pi x r^2 x h/3
Volume = pi x 4^2 x 6/3
Volume = 32pi cubic inches ( in.^3)
Find 2a-3b as a column vector
Answer:
(-9, 14)
Step-by-step explanation:
Let the column vector be represented as a = (3, 4) and b = (5, -2)
2a = 2(3,4)
2a = (6,8)
3b = 3(5, -2)
3b = (15, -6)
Take the difference 2a - 3b
2a - 3b = (6,8) - (15, -6)
2a - 3b = (6-15, 8 -(-6))
2a - 3b = (-9, 14)
Hence the column vector is (-9, 14)
We want to find 2a - 3b as a column vector, we will get:
[tex]2a - 3b = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]
So we want to perform a sum (difference actually) of vectors, we have that:
[tex]a = \left[\begin{array}{ccc}3\\4\end{array}\right] \\\\\\b= \left[\begin{array}{ccc}5\\-2\end{array}\right][/tex]
Remember that when we multiply a vector by a scalar, each component gets multiplied by that scalar, so we have:
[tex]2a = \left[\begin{array}{ccc}2*3\\2*4\end{array}\right] = \left[\begin{array}{ccc}6\\8\end{array}\right] \\\\\\3b= \left[\begin{array}{ccc}3*5\\3*-2\end{array}\right] = \left[\begin{array}{ccc}15\\-6\end{array}\right][/tex]
Now we just perform the direct difference:
[tex]2a - 3b = \left[\begin{array}{ccc}6\\8\end{array}\right] - \left[\begin{array}{ccc}15\\-6\end{array}\right] = \left[\begin{array}{ccc}6 - 15\\8 + 6\end{array}\right] = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]
If you want to learn more, you can read:
https://brainly.com/question/10435343
Is this relationship proportional or non proportional
if g(x)=8(1/2)^x then What is g(3)=
Answer:
g(3)= 4/3
Step-by-step explanation:
plug in the 3 for the x for get 4/3
Answer:
1
Step-by-step explanation:
put x=3,
8×1/2³ = 8/8 =1
Determine what type of solution the following equation has: 2x-7=2x+3
- No solution
- One solution
-Infinitely Many solution
Order the following numbers from least to greatest: 2.74, 1/9, 4^2, -2^3, 32.5%,-6
Answer:
−
2
3
,
−
6
,
1
9
,
32.5
%
,
2.74
,
4
2
Step-by-step explanation:
3 in.
6 in.
What is the exact volume of the cylinder?
O 18 in
O 36 in
0 54 in
O 63 in
Answer:
18 in
Step-by-step explanation:
multiple base by height
Help please & thank you , need it asap
Answer:
x = 180 - 30 - 41 - 67 = 42°
Plzzzz help me to find the answer
Answer:
im pretty sure its 67, sorry if I'm wrong
There are 3 flag stamps and 7 follower stamps in Noelle’s stamp collection. What is the ratio of flower stamps to flag stamps
Keira is reviewing her checking account statement from the bank. Her starting balance and transactions are listed.
-Starting balance of $49.15.
-Spent $16.23 at Wal Mart.
-Deposit from birthday check of $35.00. -Dinner at Chick-fil-A for $8.34.
-Withdrawal cash at the ATM of $20.
If reconciled, her bank statement should have a balance of
$9.58
$39.58
$79.58
$72.04
Answer:
39.58
Step-by-step explanation:
49.15-16.23=32.92
32.92+35=67.92
67.92-8.34=59.58
59.58-20=39.58
Her balance is $39.58
Hope this helps
Answer:
49.15 - 16.23 + 35.00 - 8.34 - 20 = 39.58
HELP ME FAST PLEASE!!!!!
the volume of a triangular prism is 32 cubic inches. The prism is 2 inches tall. What is the area of the base of the triangular prism?
A. 4 square inches
B. 12 square inches
C. 8 square inches
D. 16 square inches
Answer:
D. 16 in²Steps:
given:
V = 32 in³
h = 2
Ab = V/h
Ab = 32/2
Ab = 16 in²
Convert 5/3 into a ratio
Answer:
5:3
Step-by-step explanation:
step one: reduce the fraction
(since 5/3 is a reduced as it can get we can 'skip' this step)
step two: rewrite as a ratio
5/3
=5 : 3
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
I just need the q1 med and q3
Answer:
Q1 = 6
Med = 12
Q2 = 15
Step-by-step explanation:
between which two consecutive integers does √ 350 lie
Answer:
18 and 19
Step-by-step explanation:
Answer:
18 and 19
Step-by-step explanation:
root 350 is 18.71
so in between 18 and 19
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
AK
170%
B
-С
Answer:
10 degrees
Step-by-step explanation:
if it's supplementary then the two angles add up to get 180.
180-170=10
If each small cube has a volume of 1 cm,
what is the volume of this rectangular prism? HELP A.S.A.P. ILL GIVE BRAINLIST
Answer:
The answer is 40 Centimeters.
Step-by-step explanation:
This answer is correct since there are 4 rows of 10, creating the Rectangular prism. i hope this helped!
A bag contains 6 red and 10 black marbles. If you pick a marble, record its color, and return it to the bag 200 times, how many times can you expect to pick a black marble?
Answer:
12.5
Step-by-step explanation:
6+10= 16 200/16=12.5
A painter took 15 hours to paint 12 rooms in a building. Choose all true statements about the painter's rate of speed
Answer:
B and E
Step-by-step explanation:
15 divided by 12 is =1.25
1.25 ti.es 36 rooms =45 hours
What are the first three terms of the sequence defined by the following equation?
an = 2 • (-3)n - 1.
Answer:
-7, -13, -19
Step-by-step explanation:
plug in 1,2, and 3 into the part of the equation "n".
Answer:
a1 = -7
a2 = - 13
a3 = - 19
Step-by-step explanation:
n = 1
a1 = 2*(-3)*1`- 1
a1 = -6 - 1
a1 = - 7
n=2
a2 = 2(-3)*2 - 1
a2 = -12 -1
a2 = - 13
n3 = 2(-3)*3 - 1
n3 = -18 - 1
n3 = -19
Each term is - 6 away from the previous one.
4x^2+19x+19=0 to the nearest tenth
Answer:
the answer is
Step-by-step explanation:
Suppose the diameter of a circle is 16 units what is the circumference?
Answer:
Step-by-step explanation:
Answer:
16[tex]\pi[/tex]
Step-by-step explanation:
16 = diameter
Circumference = Diameter * pi
Sometimes the teacher may want you to round pi to 3.14...
In that case do 16 * 3.14 = 50.24
what is 5+5-5+5+5-5+5-5+100
Answer:
110
Step-by-step explanation:
5-5 cancel out
By the way, can you follow me on Brainly?
Thanks!
Answer:
uhm I'm not sure I'm really sorry if it's wrong but its 110 if it's not the right one go to calculator
there is less customer to the organization. Use the six steps in decision making process to solve the
problem in the organization?
Answer:
Step 1: Define Desired Outcomes and Actions. ...
Step 2: Endorse the Process. ...
Step 4: Develop Alternatives or Options. ...
Step 5: Evaluate, Select, and Refine Alternative or Option. ...
Step 6: Finalize Documentation and Evaluate the Process.
Step-by-step explanation:
What is area?
The space inside a circle.
The distance across a circle.
The distance around a circle.
Answer:
The space inside a circle
Step-by-step explanation:
Can someone help me pls
What is the value of y in (1/2)x + 3 = (1/3)y - 2 if x = 28/3?
Answer:
y = 29
Step-by-step explanation:
x/2 + 3 = y/3 - 2
28/3 ÷ 2 = 14/3
14/3 + 9/3 = y/3 - 6/3
23/3 + 6/3 = y/3
29/3 = y/3 ∴ y = 29
-9,7 with a rotation of 180°
Answer:
(9,-7)
Step-by-step explanation:
Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.
CAN ANYONE HELP ME ASAP AND THANKS:)
Answer:
true, true, false
Step-by-step explanation:
the sales do not decrease between week 4 and 5
Answer:
The answer is True, True, False
Step-by-step explanation:
For the first one, it is true because if you look on the graph, on the bottom or the x-axis, it is labeled "weeks". If you pay attention to when the line on the graph is, you will se that it is a straight line through weeks 1 and 2, so number one is true.
For the second one, it is also true because on the graph, you can see the the line starts to go upwards or increase. While the line is doing that, you can look right under it and see that it is passing through weeks 3 and 4, so that is True.
For the last one, it is false because on the graph, the line keeps going upwards for weeks 5 and 6, and the statement says that it is decreasing or going down, which is incorrect, so finally, the last question is false.
Hope this helps!