Power usage is measured in kilowatt-hours, kWh. After 7 a.m., the power usage on a college campus increases at a rate of 21% per hour. Prior to 7 a.m., 15,040 kWh have been used. The university has a daily goal to keep their power usage less than or equal to 100,000 kWh.
Which of the following inequalities can be used to determine the number of hours, t, after 7 a.m. when the power usage on campus will be less than or equal to 100,000?A.
15,040(0.79)t ≤ 100,000
B.
15,040(1.79)t ≤ 100,000
C.
15,040(1.021)t ≤ 100,000
D.
15,040(1.21)t ≤ 100,000
Answer:
D. 15,040(1.21)t ≤ 100,000
Step-by-step explanation:
The 15,040 is the prior electricity, and it increases by .21 per hour, and you don't want 100,000
To make an equation, use the simple interest formula (same concept)
Total = Amount(1 + rate) time
fill it out
100,000 >= 15,040(1.21)t
This equation is the same as D so D is the answer
Gary took a trip to bikini bottom. He recorded his progress along the way in the following table
Where is the table?
What’s the answer to this
Answer:
75
Step-by-step explanation:
i hope
Convert the following angle from degrees to radians. Express your answer in simplest
form.
375°
Answer:
25 π /12 radians
Step-by-step explanation:
To convert degrees to radians, multiply by π /180 , since a full circle is
360 or 2 π radians.
Cancel the common factor of 15
Factor 15 out of 375
15 (25). π/ 180 radians
Factor
15 out of 180
15. 25 ⋅ π/ 15 ⋅ 12 radians
Cancel the common factor.
15
⋅ 25 ⋅ π/ 15 ⋅ 12 radians
Rewrite the expression.
25 ⋅ π/ 12 radians
Combine
25 and π /12
25 π /12 radians
Please help.
Combine like terms to find an equivalent expression -5x - 7x + 3 + 2x - 8
Answer:
[tex] - 5x - 7x + 2x + 3 - 8 \\ - 12x + 2x - 5 \\ - 10x - 5[/tex]
Answer:
-10x - 5
Step-by-step explanation:
-5x - 7x + 3 + 2x - 8
= -5x - 7x + 2x + 3 - 8
= -10x - 5
how many apples would be left?
Hello!
Lets tackle each section separately!
So Robin gives the first group [tex]\frac{1}{8}[/tex] of the apples.
To find how many apples that is in standard form, we divide 40 by 8.
40 ÷ 8 = 5.
So the first group ate 5 apples.
The second group ate 4 apples.
We do not have to calculate anything since it is already in standard form.
The third group ate 20% of the apples.
To find 20% of forty we can multiply 40 by 0.20, since 0.20 is the decimal equivalent of 20%.
40 × 0.20 = 8.
The last group of children ate 8 apples.
Now we add each groups apple intake together.
5 + 4 + 8 = 17.
Finally, we subtract 17 from 40.
40 - 17 = 23.
There were 23 apples left.
waffletowne
Write an inequality statement.
Lorenzo can work no
more than 25 hours
each week.
x = hours worked
x ≤ 25
boom. done.
Find the value of k.
In triangle ABC, the midpoints of the sides AB, BC and AC are P(2, 3), Q (3,
5) and R(-4, 4) respectively. Find the coordinates of A, B and C.
Answer:
Plzzzz answer fast......
solve for x and y simultaneously:
(3x-9y)²+(x+15)²=0
Answer:
[tex]x = \frac{3(3iy+9y-5+15i)}{10}[/tex]
[tex]y= -\frac{xi}{9} - \frac{5i}{3} + \frac{x}{3}[/tex]
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 200-ft radius? Use 3.14 for π.
Find the circumference of the circle:
Circumference = 2 x r x pi
Circumference = 2 x 200 x 3.14
Circumference = 1,256 feet.
4 inches/ 12 inches per foot = 0.333 ft.
Divide the circumference by the spacing:
1255/0.333 = 3,768
You will need 3,768 flowers
HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
Answer: x=0.25
Step-by-step explanation: 1−8x=−16x2
Simplify both sides of the equation.
−8x+1=−16x2
Subtract -16x^2 from both sides.
−8x+1−−16x2=−16x2−−16x2
16x2−8x+1=0
16x2+−8x+1=0
Use quadratic formula with a=16, b=-8, c=1.
x=
−b±√b2−4ac
2a
x=
−(−8)±√(−8)2−4(16)(1)
2(16)
x=
8±√0
32
x=0.25
the vehicle probability of tossing two heads when tossing a pair of coins is 0.25 when the pair of coins was cost 20 times two heads came up only two times which procedure would result in experimental probability that is closer to the theoretical probability
toss the coin more than 20 times
tossed three coins instead of three coins
count only those tosses that result in two heads or two tails
toss the coins fewer than 20 times
Answer:
A
Step-by-step explanation:
Answer: a
Step-by-step explanation:
Which measurement is the best estimate of the area of the field in square feet? A:12717 B:8100 C:27176 D:19074
Answer: You forgot to include a photo
Step-by-step explanation:
Are the expressions 24 42 equal? Explain your answer.
no they are not equal
24= 2 tens 4 ones
42= 4 tens 2 ones
hence they are not equal
hope this helps and pls mark brainliest I just need 1 more to progress on to the next level:)
Answer:
no not at all
Step-by-step explanation:
not the same number
Practice working with interior angles of a triangle. Manipulate the triangle so angle A measures 14° and angle B measures 62°. Which statement is true about angle C? The angle is acute. The angle does not make a straight line with the other two. The angle is obtuse. The angle is a right angle.
Answer:
Its C
Step-by-step explanation:
Because i tried B and it didnt work
PLEASE HELP!! WILL GIVE BRAINLIST!!!!! I NEED THIS ASAP
A sound wave is traveling at 6,420m/s and has a frequency of 600Hz. What is the wavelength?
Answer:
10.7 m
Step-by-step explanation:
Given that,
The speed of a sound wave, v = 6,420 m/s
The frequency of the wave, f = 600 Hz
We need to find the wavelength of the wave. We can find it using the below relation as follows :
[tex]v=f\lambda\\\\\lambda=\dfrac{v}{f}\\\\\lambda=\dfrac{6420}{600}\\\\\lambda=10.7\ m[/tex]
So, the wavelength of the sound wave is equal to 10.7 m.
Solve using substitution x=-6 6x+10y=14
Answer:
(-6 , 5)
Step-by-step explanation:
6x + 10y = 14
6(-6) + 10y = 14
-36 + 10y = 14
10y = 50
y = 5
Find M please in this Geometry question.
Answer:
m = 8
Step-by-step explanation:
As we can see we have two similar triangles
These are triangles FDH and GEF
mathematically, when two triangles are similar, the ratio of their corresponding sides are equal;
Thus;
DH/DF = EG/EF
12/15 = m/10
15 * m = 12 * 10
15 m = 120
m = 120/15
m = 8
N is between A and X. AN = 2x + 1, NX = 3x, and AX = 21. what is AN?
Answer:
AN = 9
Step-by-step explanation:
so we can imagine this in a line like:
A---------------N---------------X
Step 1 : solve for x
AX=21 (our total)
because we know that AN+NX together makes AX, we put that into an equation
AN + NX = AX
(2x+1) + (3x) = 21
2x + 1 + 3x = 21 <-- subtract 1 from both sides
2x + 3x = 20 <-- add 2x +3x
5x = 20 <-- divide 5 from both sides
x = 4
Step 2 : input x into AN
AN = 2x + 1 <-- input 4 for x
AN = 2(4) + 1 <-- simplify from there
AN = 9
Help helps
Help help help help meeeee
Answer:
Just a mirror image of the triangle over the y-axis.
Step-by-step explanation:
The y coordinates remain the same but x coordinates become positive when triangle is reflected over y-axis.
A ladder of length 6m leans against a vertical wall so that the base
of the ladder is 2m from the wall. Calculate the angle between the
ladder and the wall.
Answer: sin x = 2/6
x = 0.33
x = 19.5 degrees
Step-by-step explanation:
Los términos 32 , 16 , 8 , 4 ................, representan una PG .Calcular a) R b) El término décimo c) La suma de los 10 primeros términos
Respuesta:
T₁₀ = 1/16
S₁₀ = 63,9375
Explicación paso a paso:
Dado el término de un médico de cabecera como 32, 16, 8, 4 ...
El enésimo término de un médico de cabecera se expresa como;
Tn = arⁿ⁻¹
a es el primer término
r es la razón común
n es el número de términos
Dado
a = 32
r = 16/32 = 8/16 = 4/8 = 1/2
n = 10 (ya que necesitamos el décimo término de la secuencia)
Sustituir en la fórmula;
Tn = arⁿ⁻¹
T₁₀ = 32 (1/2) ¹⁰⁻¹
T₁₀ = 32 (1/2) ⁹
T₁₀ = 32 (1/512)
T₁₀ = 32/512
T₁₀ = 1/16
Por lo tanto, el décimo término de la secuencia es 1/16.
La suma de un GP se expresa como se muestra;
Sₙ = a (1-rⁿ) / 1-r para r <1
S₁₀ = 32 (1- (1/2) ¹⁰) / 1-1 / 2
S₁₀ = 32 (1-1 / 1024) / 1/2
S₁₀ = 64 (1 - 1/1024)
S₁₀ = 64 (1023/1024)
S₁₀ = 63,9375
por lo tanto, la suma de los primeros diez términos es 63,9375
Help. Jim runs 10 miles in 85 minutes. At the same rate, how many minutes would he take to run 8 miles?
Answer:
68 minutes, 1 mile every 8.5 minutes
Step-by-step explanation:
:)
shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on saturday he earned at least $160 in all.Write an inequality and find the minimum number of hours to the nearest hour
Answer:
Write the equation of each inequality. 5. 6 ... What are the smallest values of consecutive integers that will make this true. ... Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evening. He needs to earn $160 in all. To the nearest hour, what is the least number of hours Stan.
Step-by-step explanation:
Inequalities Exit Ticket Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday. He earned at least $160 in all. Write an inequality and find the minimum number of hours, to the nearest hour, ... additional $100 in tips waiting tables on Saturday He earned at least $160 in all
The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.
Given that, Shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday he earned at least $160 in all.
What is a inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let the number of hours be x.
Now, 7.55x+100≥160
Subtract 100 on both the sides of inequality, that is
7.55x+100-100≥160-100
⇒ 7.55x≥60
Divide 7.55 on both the sides of inequality, that is
7.55x/7.55 ≥ 60/7.55
⇒ x ≥ 7.94
7.94≈8
The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.
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https://brainly.com/question/20383699.
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Which of these contexts describes a situation that is unlikely?
O Rolling a 1 on a standard six-sided die, numbered from 1 to 6.
O Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue.
O Winning a raffle that sold a total of 100 tickets if you bought 9o tickets.
OReaching into a bag full of 10 strawberry chews and 10 cherry chews without looking and pulling out a strawberry or a cherry chew.
Answer:
The first one
Step-by-step explanation:
This is because all the other ones there is a likely chance that you will get them. While the first one it is less of a chance that you will role a die and land on a one. It is a 1 out of 6 chance
The situation which is unlikely is rolling a 1 on a standard six-sided die, numbered from 1 to 6
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
a)
Rolling a 1 on a standard six-sided die, numbered from 1 to 6
Probability P ( A ) = 1/6
P ( A ) = 0.1667
b)
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue
Probability P ( A ) = 1
P ( A ) = 1
c)
Winning a raffle that sold a total of 100 tickets if you bought 90 tickets.
Probability P ( A ) = 90/100
P ( A ) = 0.9
d)
Reaching into a bag full of 10 strawberry chews and 10 cherry chews without looking and pulling out a strawberry or a cherry chew.
Probability P ( A ) = 10/20
P ( A ) = 0.5
Hence , the unlikely event is Rolling a 1 on a standard six-sided die, numbered from 1 to 6
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calculate the height/base
So basically, You know you need a missing Base or height and you have the Area and The height or the base so in this case
A=Area
B=Base
H=Height
So, A divided by B-H gets B or H.
1= 12 height
2= 5 base
3= 8 height
1/3(6z+7.2)=0.5(8z+2)-0.4
A z=0.8
B z=0.9
C z=2.8
D z=3.6
please help
Answer:
B z = 0.9
Step-by-step explanation:
1/3(6z + 7.2) = 0.5(8z + 2) - 0.4
Multiply both sides by 6.
12z + 14.4 = 24z + 6 - 2.4
-12z = -10.8
z = 0.9
what is the x and y intercept of y=6x+13
Answer: x-intercept(s):
(-13/6,0)
y-intercept(s):
(0,13)
Step-by-step explanation:
factor out x^{2}-4x+24
theres no answer for it