Answer:
14
Step-by-step explanation:
3.5 cupcakes can be done by 15 mn
X cupcakes can be done by 1 hour
35 ×60mn =15X
210 /15=X
X= 14
so 14 cupcakes will be done by an hour
Your utility company charges 14 cents per kilowatt-hour of electricity. Complete parts (a) and (b) below.
a. What is the daily cost of keeping lit a 150-watt light bulb for 8 hours each day?
b. How much will you save in a year if you replace the bulb with an LED bulb that provides the same amount of light using only 20 watts of power?
a. The daily cost of keeping lit a 150-watt light bulb for 8 hours each day is $
(Round to three decimal places as needed.)
b. The yearly savings of replacing the 150-watt light bulb with a 20-watt light bulb is
(Round to two decimal places as needed.)
Answer:
P = 150 W * 60 sec/min * 60 min/hr = 540000 W-sec/hr
1 kW = 1000 W * 3600 sec = 3.6E6 W-sec
E (8 hrs) = 8 * .54E6 W-s = 4.32E6 W-sec
or E= 4.32/3.6 = 1.2 kW = .168 $/day
20/150 = .133 as much for a 20-watt bulb
For a LED bulb cost/day = .168 * .133 = $.022/da
Note 1 W = 1 Joule/sec
Witch equation can be simplified to find the inverse of y=5x^2+10
Answer:
[tex]\huge\boxed{y=\sqrt{\dfrac{x-10}{2}}\ \text{for}\ x\geq10}[/tex]
Step-by-step explanation:
[tex]y=5x^2+10\\\\\text{exchange x to y and vice versa}\\\\x=5y^2+10\qquad|\text{subtract 10 from both sides}\\\\x-10=5y^2\qquad|\text{divide both sides by 5}\\\\\dfrac{x-10}{5}=y^2\\\\y^2=\dfrac{x-10}{5}\to y=\sqrt{\dfrac{x-10}{2}}[/tex]
Solve x2 + 5x – 3 = 0 using the quadratic formula.
Solve (2x – 1)2 = 8 using the quadratic formula.
A) x = –1∕2 + , x = –1∕2 –
B) x = 1∕2 + , x = 1∕2 –
C) x = 1∕2
D) x = –1∕2
Answer:
d
Step-by-step explanation:
distribute two through the parentheses
=4x-2
move the constant to the right side and change its sign
=4x=8+2
=4x=10
divide both sides by 4
x=5/2
What is the slope of the line?
Answer:
1/4
Step-by-step explanation:
Answer:
m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Which any quality represents the statement the sum of -3 and a number is at least 5
Answer: -3 + n >= 5
Step-by-step explanation: I got it wrong on the test but got the correct answer from test review on K12
The Greens bought a condo for $110,000 in 2005. If its value appreciates at 6%
per year, what will the value be in 2012?
Answer:
Use the A = p(1 + r/100)^t. A is the amount after appreciation, p is the principal or starting value, r is the interest rate, and t is the time in years.
Step-by-step explanation:
Nolan had 30 minutes to do a three-problem quiz. He spent 8 7/10 minutes on question A and 4 2/5 minutes on question B. How much time did he have left for question C?
Answer:
16 9/10 minutes
Step-by-step explanation:
She is solving 3 questions, so her total time spent =
Total time = Time spent on A + Time spent on B + Time spent on C
30 minutes = 8 7/10 + 4 2/5 + Time C
Time C = 30 minutes - (8 7/10 + 4 2/5)minutes
Time C = 30 minutes - (13 1/0 minutes)
Time C = 16 9/10 minutes
Answer: 16m 54s
Step-by-step explanation:
8 7/10 + 4 2/5 = 13 1/10 or 13m 6s
30m - 13m 6s = 16m 54s
Could i have Brainliest, I am trying to rank up
5^2 x 5^2 20 80 625 425
HELP ME PLEASEEEE I WILL GIVE BRAINLIEST
Answer: DE, EW WD
Step-by-step explanation:
It looks shortest to longest...i think its the best answer. good luck :>
Which of the following statements explains the correct method to solve the equation 7x - 8 = 48?
Answer:
Follow the explanation below.
Step-by-step explanation:
7x = 48 - 8
7x = 40
x = 40/7
x = 5.714
Find the product of ( - 6 + 3i) and its conjugate.
product =
Submit Question
Answer:
45Step-by-step explanation:
The conjugate of the given is:
( - 6 - 3i)Find their product:
(- 6 + 3i)( - 6 - 3i) = (-6)² - (3i)² = 36 - 9i² = 36 - 9(- 1) = 36 + 9 = 45Which equation below compares the amount of medicine, S, in Sofia’s system with the amount of medicine, L, in Lexi’s system? L = 16 x S S = 16 x L L = 4 + S S = 4 + L
Answer:
L=16xS
Step-by-step explanation:
A car can travel 300 miles on 12 gallons of gas. At this rate, how many miles can the car travel on 1 gallon of gas?
12 miles
12 miles
25 miles
25 miles
120 miles
120 miles
312 miles
312 miles
Answer:
25 miles?
Step-by-step explanation:
List all the factors of 19. Tell whether 19 is prime or composite.
Answer:
19 is a prime number, thus making the only factors 1, 2, 19. (Not necessary to include 1)
Step-by-step explanation:
b) How fast should a boy of 40kg mass run so that the kinetic energy becomes 800J?
Answer:
v = 6.32 m/s
Step-by-step explanation:
Given Data:
Mass = m = 40 kg
Kinetic Energy = KE = 800 J
Required:
Speed = v = ?
Formula:
[tex]\displaystyle KE = \frac{1}{2} mv^2[/tex]
Solution:
Rearrange the formula for speed
[tex]\displaystyle v =\sqrt{\frac{2KE}{m} } \\\\Put \ values\\\\v = \sqrt{\frac{2(800)}{40} } \\\\v = \sqrt{2(20) } \\\\v = \sqrt{40} \\\\\boxed{v = 6.32 \ m/s}\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807From a hot-air balloon, Grayson measures a 29^{\circ} ∘ angle of depression to a landmark that’s 1004 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
The balloon’s vertical distance above the ground is 556 feet
The set up will form a right triangle.
Given the following parameters
Angle of depression = 29 degreesHorizontal distance = 1004 feetTo get the height above the ground, we will use the SOH CAH TOA identity as shown;
Opposite = h
Adjacent = 1004 feet
Tan theta = h/1004
Tan 29 = h/1004
h = 1004 tan 29
h = 1004(0.5543)
h = 556.52 feet
Hence the balloon’s vertical distance above the ground is 556 feet
Learn more on angle of depression here: https://brainly.com/question/23497407
Why is cube root of 9 equal to 9 to the one third power question mark
Answer:
3
just because
Answer:
See below
Step-by-step explanation:
[tex]\sqrt[3]{9}=9^{\frac{1}{3}}[/tex]
[tex](\sqrt[3]{9})^3=(9^{\frac{1}{3}})^3[/tex]
[tex]9=9^{\frac{1}{3}*3[/tex]
[tex]9=9^\frac{3}{3}[/tex]
[tex]9=9^1[/tex]
[tex]9=9[/tex]
Remember that [tex](a^b)^c=a^{b*c}[/tex]
The equation of the blue line is y=-x+ 5. Manipulate the orange line by setting the sliders so its slope, m, is -1 and its y-intercept, b, is 5. Which statement describes the system after the changes? O The lines intersect at the same point as before the changes. O The lines intersect at a different point than before the changes. O The lines do not intersect. 0 The lines overlap.
Answer:
D
Step-by-step explanation:
Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?
Answer:
$0.44
Step-by-step explanation:
lmk if you want an explanation
the students in Jake's class , 6 have visited a zoo and 6 have visited a factory 3 students have visited both a zoo and a factory . How many students have visited a zoo but not a factory ?
Answer:
3
Step-by-step explanation:
6 have visited a zoo.
6 have visited a factory.
3 visited both.
Of the 6 who visited a zoo, 3 also visited a factory.
Of the 6 who visited a factory, 3 also visited a zoo.
Here is the list of students:
3 visited a zoo but not a factory.
3 visited a factory but not a zoo.
3 visited both.
Answer: 3
Evaluate 7+4b when b= 3
Answer:
19
Step-by-step explanation:
7+ 4(3)
7+12= 19
Mark me brainliest!!
Alyssa needs 4 pieces of wood that are 12 inches long to build a box. She bought a length of wood that was 60 inches long. How much extra wood does she have?
Answer:
She has 12 inches wood left
Step-by-step explanation:
Which table of values represents possible solutions to
the equation y = 0.7x - 4.3?
х
49
у
30
X y
49 40
19 19
-11-12
-31-16
19 19
-11-12
-31 -26
B
Х
у
30
49
19 9
-11-12
-31 -26
Х
у
49 40
19 19
-11 -2.
-31 -16
D
Step-by-step explanation:
it will be c as shown in the photo
Use >,<, or = to solve
the inequality below.
4/5 1/2
Answer:
4/5 > 1/2
Step-by-step explanation:
4/5 1/2
\/
4/5 -> 8/10
1/2 -> 5/10
\/
8/10 > 5/10
\/
4/5 > 1/2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
4/5>1/2
Step-by-step explanation:
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
4/5 = 0.8
1/2 = 0.5
Then, we compare the two decimal numbers to get the answer.
0.8 is greater than 0.5.
Therefore, 4/5 is greater than 1/2
matthew drove 252 miles to his familys vacation spot his father drove twice as many miles and then thy arrived at their hotel how far did the family travel to get to their destination
If there are 10,000 people on a space ship and 7.5 potatoes grow out of 1 potato plant. How many potato plants are we going to need per person?
This can be answered by the equation 10,000 / 7.5 = 1,333.33, so we can round to 1,333.
Hope this helps!
Answer: 1333
Step-by-step explanation:
Assume that the demand curve D(p) given below is the market demand for widgets:
Q=D(p)=1204−11p, p > 0
Let the market supply of widgets be given by:
Q=S(p)=−3+6p, p > 0
where p is the price and Q is the quantity. The functions D(p) and S(p) give the number of widgets demanded and supplied at a given price.
What is the equilibrium price?
Please round your answer to the nearest hundredth.
What is the equilibrium quantity?
Please round your answer to the nearest integer.
What is the consumer surplus at equilibrium?
Please round the intercept to the nearest tenth and round your answer to the nearest integer
What is the producer surplus at equilibrium?
Please round the intercept to the nearest tenth and round your answer to the nearest integer.
What is the unmet demand at equilibrium?
Please round your answer to the nearest integer.
Answer:
Step-by-step explanation:
I'll use y for quantity and x for price [love my x and y] and rewrite the demand and supply functions:
Demand: y=1204−11x
Supply: y = -3 + 6x
==
We want to know the equilibrium price and quantity. The quantities purchased and sold would be equal to the quantities supplied:
1204−11x = -3 + 6x
-17x = - 1207
x = 71 The price of a widget is 71 units ($, €,£,¥, etc.) at equilibrium
A price of 71 would lead to a demand and supply of:
y = 1204−11x
y = 1204−11(71)
y = 423 Widgets
We can also plot this to find the point (71,423). See the attachment.
At this point, I'm uncertain how to answer the "producer surplus" and "unmet demand" at equilibrium. This is what I did, so please judge if it is correct.
The demand line, y=1204−11x, tells us that if the price were 0, the demand would be 1204, which I'll assume in the maximum, since it is stipulated that x > 0 (I imagine it may no longer be a straight line when the price goes into negative territory. I'd be the first in line to accept a widget and $5 if they were priced at -$5).
At equilibrium, therefore, we would still have an unmet demand of (1204 - 423) or 781 widgets that customers wanted, but wouldn't pay the price.
It seems to me that this would also be the unmet demand: Product that could have been sold, but wasn't, due to the price. I'm unsure, however.
3 movie tickets cost 3690$. At this rate, the cost per ticket is $....
Answer: The cost per ticket is $1,230.
Explanation: 3,690/3 = 1,230.
Answer: The cost for each ticket is $1,230.
Step-by-step explanation:
A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation of 0.4%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%. Testing at the 5% level the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%.
a. Calculate the p-value for this test.
b. Find the p-value for this test and draw your conclusion.
c. Suppose that the alternative hypothesis in part b had been two-sided rather than one-sided. Conduct your test using either the critical value or the p-value approach.
Answer:
c
Step-by-step explanation:
Marl me as brainliest answer c
The p-value for the given test is 0.0901.
Given that, a pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%.
What is a standard deviation?Standard deviation is the degree of dispersion or the scatter of the data points relative to its mean, in descriptive statistics.
Given, Mean = 3.07, μ=3%, σ =0.4% and n=64.
Hypothesis test [tex]H_{0}[/tex];μ=3 and [tex]H_{1}[/tex];μ>3
We need to test the null hypothesis against the alternative hypothesis, we reject the null hypothesis and accept the alternative hypothesis.
When x>x critical
x critical = μ+Z+σ
Z = (x-μ)/(σ/√n)
= (3.07-3)/(0.4/√64)
= (0.07)/0.05
= 1.4
α = 5 and [tex]z_{0.05[/tex]= 1.645
If Z>[tex]Z_{0.05[/tex]
1.4 > 1.645
Therefore, we do not reject null hypothesis at 5% significant level.
There is sufficient evidence that the mean impurity in concentration pills is 3% or less than 3%.
p-value
p−value=P(Z>1.4)
=1−P(Z<1.4)
=1−0.90988
=0.0901
Therefore, the p-value for the given test is 0.0901.
To learn more about the standard deviation visit:
https://brainly.com/question/14747159.
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