Inequality becomes 0.21t + 15,040 <= 100,000
Why energy usage is important?Energy consumption remains a principal source of human caused greenhouse gas emissions the predominant cause of climate change.
After 7 a.m., the power usage on a college campus increases at a rate of 21% per hour.
t be the number of hours
the power usage increases at a rate of 21% per hour
21% = 0.21, constant rate = 0.21 . So slope = 0.21
Prior to 7 a.m., 15,040 kWh have been used.
At 7.am , power used = 15,040kWh. so our y intercept is 15,040
We use slope intercept form y= mx+b
slope m = 0.21 and b = 15040
power usage , y = 0.21 t + 15040
The university has a daily goal to keep their power usage less than or equal to 100,000 kWh
Power usage is less than or equal to 100,000
So inequality becomes 0.21t + 15,040 <= 100,000
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in a sampke of 1100 us adults 209 think the most celebrities are good role models. Two U.S adults are selected from this samole without replacement complete parts (a) through c
a. The probability that both adults think most celebrities are good role models is 0.0359
b. The probability that neither of adults think that celebrities are good model is 0.6559.
How to calculate the probability?P(adult think most celebrities are good role models) = 209 / 1100
Since the first selected adult is not replaced, there are 1099 total adults left.
P(second adult think most celebrities are good role models) = 208 / 1099
So, P(both adults think most celebrities are good role models) = 209 / 1100 * 208 / 1099
= 0.19 × 0.1893
= 0.0359
b) The probability that neither of adults think that celebrities are good model is,
P(Neither adult) = P(1st adult does not think)P(2nd adult does not think)
= ((1100 – 209)/1100)((1100 – 209– 1)/1099) =0.6559
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Complete question
In a sample of 1100 us adults 209 think the most celebrities are good role models. Two U.S adults are selected from this sample
Calculate the probability that both adults think most celebrities are good role models.
Calculated the probability that neither of adults think that celebrities are good model.
PLEASE HELP ASAP WILL GIVE POINTS plus branlist Which point is a solution to the system of linear equations?
Y= -X+1
3x-y=3.
Options are on picture
Answer:
Step-by-step explanation:
Given-: Y= -X+1 (1)
3X-Y=3 (2)
we will put the value of Y from equation (1) in equation (2)
3X-(-X+1)=3
3X+X-1=3
4X-1=3
Taking -1 to R.H.S
4X=3+1
4X=4
X=4/4
X=1
Now put the value of X in equation (1)
Y=-X+1
Y=-1+1
Y=0
So the option will be B (1,0)
PLSSSS HELP TYYYYYT !!!!!
Answer:
Total people =107
Women =57
Men =50
Men who don't like tea =20
Men who like tea= 30
Women who like tea = (total people who like tea)-(men who like tea)
Women who like tea= 30
Women who don't like tea =27
a=50
b=30
c=20
d=57
e=30
f=27
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The equations which represent circles whose diameters are 12 units and a center line lies on the y-axis are:
x² + (y – 3)² = 36 x² + (y – 5)² Equation of a circle.It is noteworthy to know that a center line on the y-axis can be interpreted as a coordinating pair in which case the pair looks like;
( 0, y )
Recall the equation of a circle which takes the form;
(x - h)² + (y - k)² = r²
Hence, since the center that lies on the y-axis, it automatically means that h = 0.
Also, if the diameter of the circle is 12 units
r = 12 / 2 = 6.
On this note, the required equation is;
x² + (y - k) = 6²
where k could be any real number.
Ultimately, the equations which are correct are;
x² + (y – 3)² = 36
x² + (y – 5)²
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For a ride on a rental scooter, Scott paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Scott's ride was $24.68. For hown
many minutes did Scott ride the scooter?
Answer:
11.64
Step-by-step explanation:
24.68/2.12=11.64
Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).
PLEASE HELP DUEEE NOW !!!A diagram of a roundabout that is being designed to improve driver safety on a busy road is shown. The radius of the circular field planned for landscaping is 27.5 feet. What is the approximate distance around the outside of the circular field?
A. 345.4 feet
B. 172.7 feet
C. 86.35 feet
D. 2,323.1 feet
The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.
How to evaluate for the circumference of a circleTo calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).
We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:
Radius of the circular feild = 27.5
circumference of the circular feild = 2 × 27.5 feet × 3.14
circumference of the circular feild = 55 feet × 3.14
circumference of the circular feild = 172.7 feet.
Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.
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Kalen and his friends are running a relay race that is 3/4 mile long.Each person will run 3/20 mile.How many runners are on Kalen’s team in total??
Answer:
5 people
Step-by-step explanation:
Relay race ---> 3/4 mile
Each runner runs 3/20 miles
3/4÷3/20
3/4×20/3=5
OR
3/4 --> 15/20
3/20 goes into 15/20 5 times
Answer:
5 runners
Step-by-step explanation:
Just multiply 3/20 by 3/4
A sample of 400 teenagers showed 262 were "hyper-texters", meaning they spent more than 3 hours a day on their smart
phones. If there are 2,000 students at North High School how many would you expect to be "hyper-texters"?
262 "hyper-texters," or teens who spend more than three hours per day on their smartphones, were found in a sample of 400 youngsters. if North High School enrolls 2,000 pupils.
How many hyper-texters in smart phone ?In order to transmit a digitalized version of your speech during a cell phone call, the phone must send out an electrical signal (mathematics comes into play here through the use of error correction and data compression). Radiation from cell phones is produced in the electromagnetic spectrum's radiofrequency band. The radiofrequency that second-, third-, and fourth-generation cell phones (2G, 3G, and 4G) generate ranges from 0.7 to 2.7 GHz. The frequency range up to 80 GHz is expected to be used by fifth-generation (5G) cell phones.Checking your phone in the middle of a crucial work can make it more difficult for you to finish it. Using your phone in between crucial tasks reduces your ability to concentrate, according to a recent study that was published in the Journal of Behavioral Addictions.To learn more about hyper-texters refer to :
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In the image shown, line I and line m are parallel. How are <2 and <5 related?
Answer:
see explanation
Step-by-step explanation:
∠ 2 and ∠ 5 are on opposite ( alternate) sides of the transversal and are in between ( in the interior of ) the parallel lines.
The pair are then alternate interior angles.
11/15 + 2/3 divided by 1 1/2 - 7/30
The evaluation of the given fraction is 1 2/19
Evaluating fractionsFrom the question, we are to evaluate the given fraction
From the given information,
The given fraction is
(11/15 + 2/3) ÷ (1 1/2 - 7/30)
Simplifying
((11 + 10)/15) ÷*(3/2 - 7/30)
(21/15) ÷ ( (45 - 7)/30)
(21/15) ÷ (38/30)
Then,
21/15 × 30/38
(21 × 30) / (15 × 38)
630 / 570
21/19
= 1 2/19
Hence, the evaluation is 1 2/19
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An isosceles triangular prism can be unfolded into the net shown
below. Find the lateral surface area of the triangular prism.
8.3 in
9 in
7 in
I
17 in
The lateral surface area of the triangular prism is 364.1 square inches.
What is surface area?The Surace area of any 2D or 3D figure is the outer area of the given figure.
Surface areas are of two types they are lateral surface area when we exclude the areas of top and bottom and total surface area is when we include all the sides.
From the given diagram and the concept of lateral surface area where the base and top are excluded here, it has only the base area as the top results to a point.
Therefore, The lateral surface area of this isosceles triangular prism is,
Two rectangles have a length of 17 inches and a width of 9 inches in addition to two triangles having a base of 7 inches and a height of 8.3 inches which is,
= 2(17×9) + 2[(1/2)×7×8.3) square inches.
= 306 + 58.1 square inches.
= 364.1 square inches.
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The total sales of a particular model of calculator on three days are $180, $414 and $306 respectively. Find the greatest possible price of the calculator.
Answer:
To find the greatest possible price of the calculator, we can use the information given about the total sales.
We know that the total sales of the calculator on three days are $180, $414, and $306. We can assume that the calculator is sold at a single price p on all three days, and the total number of calculators sold is x, y and z respectively.
So, we can set up the following equation:
px = $180 (1)
py = $414 (2)
p*z = $306 (3)
From (1) and (2) we can say x < y and from (2) and (3) we can say y > z
so the greatest possible price of the calculator will be the one from equation (2)
p = $414 / y
Therefore, the greatest possible price of the calculator is $414 / y.
It is important to note that we don't know the actual numbers of calculators sold, but we know that y is greater than x and z, and that is why we can say that the greatest possible price of the calculator is $414 / y.
The deck of a bridge is suspended 265 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by
y = 265 − 16t2.
The height of the pebble after 2 seconds is 201 feet.
How to determine the height of the pebbleFrom the question, we have the following parameters that can be used in our computation:
y = 265 − 16t2.
The height of the pebble after 2 seconds is given by
y = 265 - 16 * 2^2.
Plugging in the values:
y = 265 - 16 * 4
y = 265 - 64
y = 201 feet
So, the height of the pebble after 2 seconds is 201 feet.
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Complete question
The deck of a bridge is suspended 265 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by
y = 265 − 16t2. What is the height after 2 seconds
Select the correct answer.
Stephanie is exploring the key features of the functions ƒ (z) = and g(z) = 4=+5
She says that the graphs of the two functions will have the same vertical asymptote but different horizontal asymptotes because she ca
define function g as a transformation of function f and g(x) = f(x) + 4. Which statement is true?
O A. Stephanie correctly rewrote g(x) as a transformation of f(x), and she described the asymptotes of the two functions
correctly.
OB. Stephanie correctly rewrote g(x) as a transformation of f(x), but she described the asymptotes of the two functions
incorrectly.
OC. Stephanie rewrote g(x) as a transformation of f(x) incorrectly, but she described the asymptotes of the two functions
correctly.
O D. Stephanie rewrote g(x) as a transformation of f(x) incorrectly, and she described the asymptotes of the two functions
incorrectly.
Answer:
A. Stephanie correctly rewrote g(x) as a transformation of f(x), and she described the asymptotes of the two functions correctly.
Step-by-step explanation:
The statement is true because, g(x) = f(x) + 4 is indeed a transformation of f(x) by shifting the graph 4 units up, and because the horizontal asymptote is determined by the highest degree term in the function, which in this case is the same for both functions, so the two functions will have the same vertical asymptote, but the horizontal asymptote is determined by the leading coefficient which is different for both functions, so the two functions will have different horizontal asymptotes.
NO LINKS!!
Describe the transformation from ΔPQR to ΔSTU. Is this a congruence or similarity transformation?
ΔPQR: P(4, 0), Q(2, -3), R(5, -4)
ΔSTU: S(-4, -5), T(-2, -2), U(-5. -1)
From the coordinates we can see the rule for this transformation:
(x, y) → (- x, - y - 5)This is a rotation by 180 degrees and translation 5 units down, therefore shape or size remain as is. So this is a congruence transformation.
Answer:
Rotation of 180° about the origin (0, 0) followed by a translation of 5 units down.
Congruence transformation.
Step-by-step explanation:
Given vertices of ΔPQR:
P = (4, 0)Q = (2, -3)R = (5, -4)Given vertices of ΔSTU:
S = (-4, -5)T = (-2, -2)U = (-5, -1)From observation, the mapping rule the transforms ΔPQR to ΔSTU is:
[tex](x,y) \rightarrow (-x,y-5)[/tex]Rotation of 180° about the origin (0, 0) followed by a translation of 5 units down.
This is a congruence transformation as the two triangles have the same shape and same size.
Ill give brainliest to the answer
Answer:
m∠2 = 94°
Step-by-step explanation:
m∠3 and m∠2 are vertically opposite angles meaning they have equal angle. They are of equal measure.
Given that m∠3 = 94°, so m∠2 = 94° as well.
Answer:
94°
Step-by-step explanation:
We know that vertically opposite angles are equal to each other.
Therefore,
<2 = <3
94° = 94°
THe 54th term of the sequence
Answer:
-320
Step-by-step explanation:
Use the formula
Tₙ = a + (n - 1)d where
a is the first term (in this case, -2)
n is the required term ( in this case, 54)
d is the common difference (in this case, -6)
54th term = -2 + 53 x -6 = -320
Pls mark as brainliest if possible. Cheers
At the campus coffee cart, a medium coffee costs $3.55. MaryAnne brings $4.00 with her when she buys a cup of coffee and leaves the change as a tip. What percent tip does she leave? (Round your answer to one decimal place.)
Answer:
0.4
Step-by-step explanation:
4.00-3.55 = 0.45 = 0.4
The tip she gives is given by approximately 12.7% of the price.
The cost of a medium coffee is given by = $ 3.55
Mary Anne brings $ 4 with her and buy a coffee.
So, the remaining dollars with her is given by = 4 - 3.55 = $ 0.45
According question she gives this remaining amount as tip.
Therefore she gives a tip of $ 0.45 on the price of $ 3.55
The percentage of her tip = (0.45/3.55) * 100% = 12.7 % [Rounding off to one decimal place]
Hence the tip she gives is given by approximately 12.7% of the price.
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It took 15 days to build 3/5 of a new road.
At this rate, how long will it take to build the whole road?
Explain your answer.
What is the fifth term of the arithmetic sequence? 6, 9, 12, 15,...
The fifth term of the arithmetic sequence can be found to be 18.
How to find the next term ?There are two definitions for an arithmetic sequence. It is a "series where the differences between every two succeeding terms are the same" or "each term in an arithmetic sequence is formed by adding a fixed number (positive, negative, or zero) to its preceding term."
In this arithmetic sequence therefore, you can find the common difference to be:
= 9 - 6
= 3
So the fifth term would be:
= 4th term + common difference
= 15 + 3
= 18
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The fifth term of the arithmetic sequence: 6, 9, 12, 15 is 18.
What is the fifth term of the arithmetic sequence?The formula for the nth term of an arithmetic sequence is expressed as;
aₙ = a₁ + d( n - 1 )
Given the data in the question;
6, 9, 12, 15.
First term a₁ = 6Common difference d = 9 - 6 = 3Required term n = 5thPlug the values into the above formula and simplify.
aₙ = a₁ + d( n - 1 )
a₅ = 6 + 3( 5 - 1 )
a₅ = 6 + 3( 4 )
a₅ = 6 + 12
a₅ = 18
Therefore, the fifth term of the sequence is 18.
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Derived by the general formula the following equations remember that you must integrate your procedures
On solving the provided question we can say that quadratic equation is y = 3x + 2x^2 => y = 14
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
here,
quadratic equation is
y = 3x + 2x^2
y = 6 + 8
y = 14
as x = 2
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At a local hospital, 75% of nurses have diploma qualifications and the rest are working towards diplomas. There are 160 nurses in this hospital. How many nurses do not have a nursing diploma yet?
A total of 40 nurses do not have a nursing diploma yet
How many nurses do not have a nursing diploma yet?From the question, we have the following parameters that can be used in our computation:
Nurses = 160 nurses
Diploma qualitifications = 75%
The above parameters mean that
No diploma qualification = (1 - Diploma qualitifications) * Nurses
Substitute the known values in the above equation, so, we have the following representation
No diploma qualification = (1 - 75%) * 160
Evaluate
No diploma qualification = 40
Hence, the nurses are 40
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<1 and <5 are ___ angles.
right
vertical
alternate interior
corresponding
angles.
Answer:
corresponding
Step-by-step explanation:
<1 and <5 are corresponding angles because they are on the same side of the transversal and on the same side of l and m
ANSWER PLEASE QUICK!! 60 POINTSSS!!
Answer:
Easy, A is 4.1
Step-by-step explanation:
I just finished this too
is y=mx+b a rational function?
Answer: A rational function is a function that is a fraction and has the property that both its numerator and denominator are polynomials.
Step-by-step explanation:
Determine if each pair of triangles is similar. If they are similar, state why. (AA, SAS, SSS, or not similar)
As the trianlges are SAS congurant the side NK = 1.8.
What is congruent by ASA?
The Angle-Side-Angle congruence rule is referred to as ASA. Two triangles are said to be congruent according to this rule if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle. See if the two triangles given, ABC and XYZ, are congruent according to the ASA rule by looking at the image provided below. According to the ASA congruence rule, two triangles are said to be congruent if two of their respective sides and angles are equal to those of two other triangles and their respective sides and angles, respectively.
∠LJK=∠LMN
LM =4
MJ=2
LN=3.6
So, As the trianlges are SAS congurant the side NK = 1.8.
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Name four rays that have point E as an endpoint.
The rays in the figure are (b) EA, EF, ED and EG
How to determine the names of teh raysA ray in geometry is a part of a line that has one endpoint and continues infinitely in one direction.
It is represented by an arrow with the endpoint of the arrow being the endpoint of the ray
Using the above definition as a guide, we have the rays to be
option (b) EA, EF, ED and EG
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A recipe for cookies calls for 1/4 cup of brown sugar for 1 batch. How many batches can be made with each of the following amounts of brown sugar?
PART A
1 cup of brown sugar?
PART B
3/8 cup of brown sugar?
Enter your answer in the box below.
PART C
2 1/2 cups of brown sugar?
PART D
5/12 cups of brown sugar?
Answer:
A) 4 batches
B) 1 1/2 batches
C) 10 batches
D) 1 2/3 batches
Step-by-step explanation:
A) A 1/4 goes into 1, 4 times so it would make 4 batches.
B) 1/4 = 2/8 so 3/8 = 1.5/4 and that would make 1.5 batches.
C) since 1 cup of sugar can make 4 batches, 2 cups can make 8 batches and 1/2 cup makes 2, so 8+2= 10 batches
D) 1/4=3/12 that means 5/12 = 1/4+1/6 and 1/6 divided by 1/4 = 2/3 so that means that it can make 1 2/3 batches.
Answer please!
Whoever answers rigger will get get brainliest!!!!!
Using exponential function, the value of x that makes f(x) = g(x) is x = 6.7 (rounded to the nearest integer).
Write the exponential function for g?The value of x that makes f(x) = g(x) is approximately x = 76.
To solve this, you can set f(x) = g(x) and solve for x.
[tex]f(x)=400(0.90)^x\\g(x)=70(1.10)^x\\400(0.90)^x = 70(1.10)^x\\Divide both sides by 400 to get:\\(0.90)^x = (1.10)^x / (400/70)\\[/tex]
Take the logarithm of both sides and use the power rule:
[tex]x(log 0.90) = (log (1.10)) / (log (400/70))\\x = (log (1.10)) / (log (400/70)) / (log 0.90)\\x = 76.3 (round to the nearest integer)\\[/tex]
Therefore, the approximate value of x that makes f(x) = g(x) is x = 76.
To solve this, we can set the two equations equal to each other and solve for x.
[tex]f(x)=400(0.90)^x = 70(1.10)^x\\400(0.90)^x = 70(1.10)^x\\(0.90)^x = 70/400 (1.10)^x\\(0.90)^x / (1.10)^x = 70/400\\(0.90/1.10)^x = 70/400\\(0.81818)^x = 70/400\\[/tex]
Take the logarithm of both sides.
[tex]xlog(0.81818) = log(70/400)\\x = log(70/400) / log(0.81818)\\x = 6.7 (rounded to the nearest integer).[/tex]
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