Answer: -13
How to: Simplify the expression.
Answer:
0 is less than 2 is equal to 2
0/
1
< 2/
1
= 2/
1
Between 06 00 and 10 00,the same day ,the volume of water in a reservoir decreased from 24 000L to 18 000L.What was the average rate of decrease in volume of water, giving your answer in L/h?
Answer:
-1.5 L/h
Step-by-step explanation:
The volume of water in a reservoir decreased from 24.000L to 18.000L between 06.00 and 10.00.
We need to find the average rate of decrease in volume of water. It can be solved as follows :
[tex]Rate=\dfrac{18-24}{10-6}\\\\=-1.5\ L/h[/tex]
The negative sign shows the decrease in volume. Hence, the rate of decrease in volume of water is 1.5 L/h.
if {a \index{n}} be an Arithmetic sequence , calculate \frac{1}{a1a2} + \frac{1}{a2a3} +...+ \frac{1}{a39a40}
Given:
[tex]a_n[/tex] is an arithmetic sequence.
To find:
The value of [tex]\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}[/tex].
Solution:
We have,
[tex]\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}[/tex]
It can be written as:
[tex]=\dfrac{d}{d}\left[\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}\right][/tex]
[tex]=\dfrac{1}{d}\left[\dfrac{d}{a_1a_2}+\dfrac{d}{a_2a_3}+...+\dfrac{d}{a_{39}a_{40}}\right][/tex]
[tex]=\dfrac{1}{d}\left[\dfrac{a_2-a_1}{a_1a_2}+\dfrac{a_3-a_2}{a_2a_3}+...+\dfrac{a_{40}-a_{39}}{a_{39}a_{40}}\right][/tex]
[tex]=\dfrac{1}{d}\left[\dfrac{1}{a_1}-\dfrac{1}{a_2}+\dfrac{1}{a_2}-\dfrac{1}{a_3}+....+\dfrac{1}{a_{39}}-\dfrac{1}{a_{40}}\right][/tex]
[tex]=\dfrac{1}{d}\left[\dfrac{1}{a_1}-\dfrac{1}{a_{40}}\right][/tex]
[tex]=\dfrac{1}{d}\left[\dfrac{a_{40}-a_1}{a_1a_{40}}\right][/tex]
[tex]=\dfrac{1}{d}\left[\dfrac{a_1+(40-1)d-a_1}{a_1a_{40}}\right][/tex] [tex][\because a_n=a_1+(n-1)d][/tex]
[tex]=\dfrac{1}{d}\left[\dfrac{39d}{a_1a_{40}}\right][/tex]
[tex]=\dfrac{39}{a_1a_{40}}[/tex]
Therefore, the value of given expression is [tex]\dfrac{39}{a_1a_{40}}[/tex].
Solve for x. Round your answer to the nearest tenth
Answer:
6.1
Step-by-step explanation:
tan 27° = x/12
x = 12 · tan 27°
x = 6.1
60/3[150+2{6+3(17-14)}}
11. 56-45-5(90-3[4-(25-31)}]
Answer:
.4635.30967741
Step-by-step explanation:
hope this helps
Solve for xx. Leave your answer in simplest radical form.
3
8
x
2
ANSWER ) x = sqrt51
For school lunch students have 3 meat choices (beef, chicken, or fish), 2 potato choices (mashed or fried), and 3 drink choices (milk, juice, or water).
How many different combinations could students create using one meat, one potato, and one drink?
- 8
- 9
- 11
- 15
- 18
Answer:
18
Step-by-step explanation:
[tex]3 \times 2 \times 3[/tex]
That will give you 18 which is the answer
PLEASE HELP! I am just learning functions. Any tips?
Answer:
Step-by-step explanation:
value is decreasing so rate should be <1
f(x)=Pr^x
=1250 (0.8)^x
if x=1
f(1)=1250(0.8)^1=1000 $
if x=2
f(2)=1250(0.8)^2=800 $
if x=3
f(3)=1250(0.8)^3=640 $
so D is the correct answer.
i need help with this question
PLEASE HELP!!!!!!! NEED THIS ASAP
Answer:
174
Step-by-step explanation:
72+72+10+20+ 174
The telephone company offers two types of service. With Plan A, you can make an unlimited number of local calls per month for $18.50. With Plan B, you pay $6.50 monthly, plus 10 cents for each min. Of calls after the first 40 min. At least how many min would you have to use the telephone each month to make Plan A the better option?
Answer:
This is telling me that plan B is the better choice
for a certain number of minutes, but after that,
plan A is better.
Let +n+ = number of minutes of calls
with plan B
-----------------------------------------
Set up an equation that makes the 2 plans equal
and then add 1 more minutes to +n+
-----------------------------------------
plan A = plan B
+18.5+=+6.5+%2B+.1%2A%28+n+-+40+%29+
Step-by-step explanation:
Answer:
Plan A is better if you talk at least 121 minutes per month
Step-by-step explanation:
1. Plan B is $6.50 plus 10 cents for each minute
2. Plan A is $18.50
3. For plan A to be better, one need to spend over $12 extra
4. Each minute cost 10 cents, so $12 would be 120 minutes of talk
5. Plan A is better if you talk at least 121 minutes
When writing a percent as a fraction, what
number do you write as the whole, or
denominator?
Answer:
100 is going to be the denominator or whole.
Step-by-step explanation:
A percent is basically equally to a number x/100
A truck bed has a volume of 120 cubic feet. The bed is 4 feet wide and has a height of
3 feet. What is the length of the bed?
Answer:
1440
Step-by-step explanation:
you have to do length x width x height
Help me, please!!!!!!!!!
Answer:
x ≈ 17.32, y = 20
Step-by-step explanation:
sin (30°) = 10/y
=> y = 10/sin (30°)
=> y = 20
x = [tex]\sqrt{20^{2} - 10^{2}}[/tex]
=> x ≈ 17.32
Sam has 1 3/4 quarts of orange juice.
He is pouring it into glasses that
each hold 1/4 quart. How many glasses can he fill?
glasses can he fill?
KaVaugn wants to solve the following system using the elimination method:
y = x − 6
y = -4x − 19
What number should the equation y = x − 6 be multiplied by to eliminate x? (4 points)
a
1
b
2
c
4
d
−6
Answer:
d.-6
Step-by-step explanation:
sana makatulong
A right triangle has side lengths 8 ,15 , 17 and as shown below.
Use these lengths to find TanA, sinA,cosA
Answer:
3
Step-by-step explanation:
Leo wants to determine the average number of texts middle school students send in a day. Since all middle school students are enrolled in history, he randomly surveyed 4 students from each of Mr. Barnes’s eighth-grade history classes. Ms. Lopez and Mrs. Frank also teach eighth-grade history. What should Leo do to ensure his sample is representative of all middle school students?
Answer:
D. He should survey all the students in all the history classes to make sure he collects enough data.
Step-by-step explanation:
correct on edge 2021
PLEASE ANSWER STRAIGHT AWAY
Answer:
The 4 packe is better value.
Answer:
The 4 pack has better value.
Step-by-step explanation:
To find the toilet roll price, divide by the number of rolls.
2.04 ÷ 4 = 0.51
4.68 ÷ 9 = 0.52
0.52 > 0.51
So, the 4 pack has better value.
Have a wonderful day! :)
Please help me and show work.
Answer:
80.5π cm
Step-by-step explanation:
We want to find the area where the label should go onto the can. If we were to take the label and flatten it onto a 2D surface, we would multiply 11.5 cm by the width, which is equivalent to the circumference of the circle. The circumference of the circle can be calculated using the equation 2πr. The radius is 3.5 cm, so the circumference of the circle is 7π. We multiply 7π by 11.5 to get 80.5π cm.
what is the sum of 0.9 and the product of 1.7 and 3
Answer:
6
Step-by-step explanation:
0.9 + ( 1. 7 * 3 )
= 6
mark brainliest
please please help! :)
Answer:
assuming the shape is a square
1. 90 degrees
2. 45 degrees
3. 45 degrees
4. 90 degrees
Step-by-step explanation:
maths and angles
What is the percent of each? Please help!!
Answer:
1 Cards = 36%
2 Cards = 28%
3 Cards = 24%
4 Cards = 12.5%
Step-by-step explanation:
Math question due today. 20 points.
A bathtub is the shape of a rectangular prism. The dimensions are 5 1/4 ft x 2 1/2 ft x 2 3/4 ft. What is the volume of the bathtub?
A. 10 1/2 ft
B. 36 3/32 ft
C. 14 7/16 ft
D. 13 1/8 ft
(No photo provided.)
Answer: 36 3/32 so the answer is B.
Step-by-step explanation:
Write An Equation in Point-slope form for the line through the given point with the given slope "(-7,9);m=4/5"
Answer:
y-9=4/5(x+7)
Step-by-step explanation:
Point slope for is y-y1=m(x-x1). In this case, y1 is 9, x1 is -7, and m is 4/5. Therefore, we can fill in this equation. The equation will be y-9=4/5(x--7) This is equal to y-9=4/5(x+7).
If this helps please mark as brainliest
3. Lizbeth has a lunch box in the shape of a rectangular prism that
measures 11.5 inches in length and 7.2 inches in width. If the lunch box is 4
inches tall, calculate its volume in cubic inches.
Answer:
do 11.5x7.2 that will get you your answer then after that when you get that answer you will divide that by 4
Step-by-step explanation:
Our club has 10 members, and we need to appoint a president, a vice president, and a secretary. How many ways can we do this if: Each member can hold at most one office. Members can hole any number of offices
Answer: 720
Step-by-step explanation:
Given
A club has 10 members and needs one president, a vice president, and a secretary
There are 10 positions for president i.e. 10 ways to select a member for it
Similarly, there 9 persons left to choose a position for vice president
likewise 8 persons for secretary
Total no of ways to do it are
[tex]\Rightarrow 10\times 9\times 8\\\Rightarrow 720\ \text{ways}[/tex]
(2^3//4^2)^5 What is the equivelant expression?
Answer:
A
Step-by-step explanation:
This is the same as ((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2)) which is equal to (2^(3+3+3+3+3)/4^(2+2+2+2+2)), so its (2^15/4^10)
Answer:
You could say 10/15-12/15.
Step-by-step explanation:
What is the value of the expression 4(80+ b) - 12, where b=20?
Α. 328
Β. 352
C. 388
D. 412
Answer:
B. C which is the answer.
Answer:
Step-by-step explanation:
c=388
-------------------------
Answer:
1 < x < 12
Step-by-step explanation:
The triangles satisfy the Converse Hi nge Theorem Condition the two triangles have two corresponding equal sides. Thus, the included angle of the triangle that has the largest length of the third side is greater than the included angle of the other triangle with a lesser third side length.
Thus,
33 > 3x - 3
Solve for x
33 + 3 > 3x - 3 + 3
36 > 3x
36/3 > 3x/3
12 > x
To ensure the angle is not 0 or negative, thus:
3x - 3 > 0
Solve for x
3x - 3 + 3 > 0 + 3
3x > 3
3x/3 > 3/3
x > 1
Possible range of values of x would be:
1 < x < 12
can someone help me??
Answer:
8) 10 15/16 ft³
9) 20 5/6 ft³
Step-by-step explanation:
Volume of a rectangular prism is
l * b * h,
Question 8
We're given the area
Area = l * b
So we substitute the area for length and breadth.
Volume = Area * height
Volume = 4 3/8 * 2 1/2
Volume = 35/8 * 5/2
Volume = 175/16
Volume = 10 15/16 ft³
Question 9
Volume = 5 * 1 2/3 * 2 1/2
Volume = 5 * 5/3 * 5/2
Volume = 5 * 25/6
Volume = 125/6
Volume = 20 5/6 ft³