Answer:
7/2(12+h)
Step-by-step explanation:
The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.
Here, we have,
given that,
the expression 42+3.5h
we have to find the factored form.
From the given information:
The expression 42 + 3.5h is factored out by taking the coefficient of the variable term is 3.5
So factoring 3.5 from the expression 42 + 3.5h, we get:
= 3.5 ( 12 + h)
= 7/2 ( 12 + h)
Hence, The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.
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will mark brainliest!!
A traveler can choose from 4 airlines, 10 hotels and 5 rental car companies. How many arrangements of these services are possible?
Which is one condition that must be present for an inverse relation to be a function?
A. The function must be a straight line. The function must be a straight line.
B. The function must pass the vertical line test. The function must pass the vertical line test.
C. The inverse relation must be a straight line. The inverse relation must be a straight line.
D. The inverse relation must pass the vertical line test.
the correct option is D:
" The inverse relation must pass the vertical line test."
Which is one condition that must be present for an inverse relation to be a function?
Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.
All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.
From this we conclude that the correct option is D:
" The inverse relation must pass the vertical line test."
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z varies directly as √√x and inversely as y. If: = 179 when x=25 and y= 7, find zifx = 64 and y = 4. (Round off your answer to the nearest hundredth.)
z=
We know that z varies directly as √√x and inversely as y, which can be written as:
z = k(√√x)/y
where k is the constant of proportionality.
To find the value of k, we can use the values given when x = 25 and y = 7:
179 = k(√√25)/7
179 = k(5/7)
k = (179*7)/5
k = 250.6
Now we can use this value of k to find z when x = 64 and y = 4:
z = 250.6(√√64)/4
z = 250.6(2)/4
z = 125.3
Therefore, z ≈ 125.3 when x = 64 and y = 4.
Which of these is the northern-most countries? Responses
A Colombia
B Brazil
C Ecuador
D Peru
a light bulb consumes 1440 Watt hours per day.. how long does it take to consume 6840 watt- hours
Answer:
4 days and 18 hours.
Step-by-step explanation:
1440 Watt hours = 1 day
6840 Watt hours = x
Cross multiply.
1440*x = 6840*1
1440x = 6840
Divide both sides by 1440.
1440x/1440 = 6840/1440
x = 4.75 days
4.75 days is 4 days and 3/4 of a day; because 3/4 = 0.75
We have to find 3/4 of 1 day.
1 day is 24 hours.
3/4* 24
Divide 24 by 4.
3*6 = 18
So, 18 hours.
Therefore a light bulb consumes 6840 Watt hours in 4 days and 18 hours.
I hope this helps. please give brainliest, thank and rate 5 stars.
The required time that is required to consume 6840 watt-hours is 4.75 days.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
a light bulb consumes 1440 Watt-hours per day.. how long it takes to consume 6840 watt-hours is to be determined.
In 1 day electricity used = 1440 Watt-hours
Number of days to use 6840 watt- hours = 6840 / 1440 = 4.75 days
Thus, the required time that is required to consume 6840 watt-hours is 4.75 days.
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Please help with these two questions thank you so so much
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8) D. Entertainment
9) C. Green
HOPE THIS HELPS^^
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The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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URGENT!!!PLEASE HELP! PLEASE PLEASE!
Choose the number below that fits into the following number sets:
Natural Number
Whole Number
Integer
A. -½
B. 4.9
C. π
D. 6
Answer:
d) 6
Step-by-step explanation:
natural number = +ve numbers, so -1/2 is out
4.9 and π arent whole numbers nor intergers
PLEASE HELP ASAP, WILL GIVE BRAINLIEST AND 5⭐
Okay, here are the steps to find the total cost from the cheaper company:
Company A (cheaper):
Daily charge: £20
Cost per mile: 50p = £0.50
Matilda needs to drive 950 miles over 7 days.
So miles per day = 950/7 = 136 miles
Total daily charge = £20
Total miles cost = 136 miles * £0.50 per mile = £68
Total cost = £20 + £68 = £88
So it would cost Matilda £88 to hire a car from the cheaper company (Company A) for 950 miles over 7 days.
ach ant has 6 legs. How many legs do 3 ants have?
Ants 1 2 3
Legs 6 ?
Answer:
Step-by-step explanation:
the answer is 18 I think?
Answer:
18
Step-by-step explanation:
6 (legs) x 3 (ants) = 18 legs
It can also be represented as 6+6+6 (18)
hope this helps :)
Roy has three yellow counters and five red counters. How
many counters does he have in all? I.
Answer:
he has 8 counters.
Step-by-step explanation:
3+5=8
Answer:
8
Step-by-step explanation:
5+3= 8
The darkness of the print is measured quantitatively using an index. If the index is greater than or
equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and
not acceptable. Assume that the machines print at an average darkness of 2.2 with a standard
deviation of 0.20.
(a) What percentage of printing jobs will be acceptable? (4)
(b) If the mean cannot be adjusted, but the standard deviation can, what must be the new standard
deviation such that a minimum of 95% of jobs will be acceptable?
84.13% of the printing jobs will be acceptable.
The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.
The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.
The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.
To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.
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Which graph represents all of the solutions of
Step-by-step explanation:
Solve the inequality for b
-15b <= 45 divide both sides by -15, since you're dividing by a negative number switch the direction of the sign.
b >= -3
So, your number line is all values of b greater than or equal to -3. Since it is including -3, the circle will be filled and increase to the positive.
the current in the electronic circuit in the mobile phone was 0.12a the potential difference across the battery was 3.9V. calculate the resistance of the electronic circuit in the mobile phone
Answer:
Step-by-step explanation:
V = 3.9V
I = 0.12A
Ohm's Law, V = IR
Rearranging Ohm's Law, R = V/I
R = 3.9/0.12 = 32.5Ω
graphic image of the kite jklm after a reflection across the line Y= 1
Answer: see image
Step-by-step explanation:
Draw the line y = 1. Count how many units away the point is from that line. Move that point the same number of units in the opposite direction to create the reflection.
J is 2 units above y = 1. The new point is 2 units below y = 1. → (3, -1)
K is 3 units above y = 1. The new point is 3 units below y = 1. → (6, -2)
L is 5 units above y = 1. The new point is 5 units below y = 1. → (3, -4)
M is 3 units above y = 1. The new point is 3 units below y = 1. → (0, -2)
Step-by-step explanation:
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Is 39x+27y=6 in standard form
Answer: Yes
Step-by-step explanation:
When given two points and asked to find the equation of the line in slope-intercept form, what are the correct steps? Place a number next to the step to put them in order.
When given two points and asked to find the equation of the line in slope-intercept form, the correct steps, the correct order is 2 , 1 , 4 , 3.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
Given that,
given two points and asked to find the equation of the line in slope-intercept form.
Find that,
what are the correct steps? Place a number next to the step to put them in order.
Explanation:
to find the equation of the line in slope intercept form form given two points.
step 1 :
find the slope.
step 2
write equation in point slope form
step 3.
pick a point form the given points , substitue it into the point slope form
step 4.
write the equation in slope intercept form by simplifying
Final Answer.
Hence , the correct order is 2 , 1 , 4 , 3.
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Which graph represents the inequality y>-1/2
Answer:
A
Step-by-step explanation:
y > -1/2
Because there is no equal sign, it will be an open circle. y > -1/2, which mean to the right of -1/2, so the answer is A
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Which of the following equations show the relationship between x and y in the table?
1. y= x+3
2. Y= 3x+1
3. Y=2x+2
4.y=4x
Answer:
y=2x+2
Step-by-step explanation:
you have to substitute x and y in the given equations and which one works
for y=x+3 , 4=1+3 true , 6=2+3 false
for y=3x+1, 4=3*1+3 false
for y=2x+2, 4= 2*1+2 true, 6= 2*2+2 true, 8= 2*3+2 true, 10=2*4+2 true
for y=4x, 4=4*1 true, 6= 4*2 false
Solve for x.
23
13
[21
Answer:
x = 24
Step-by-step explanation:
The angles are supplementary therefor
(5x + 13) + (x + 23) = 180
Combine like terms
6x + 36 = 180
Subtract 36 from both sides
6x = 144
Divde both sides by 6
x = 24
Answer:
5x+13+x+23=180°[exterior corresponding angle is supplementary.
6x=180-36
x=144/6
x=24
(5.25) An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree days, where a day's degree-days are the number of degrees its average temperature falls below 65 degrees F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be
This question is incomplete, the complete question is;
An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day's degree-days are the number of degrees its average temperature falls below 65oF) over a 23-month period.
He then computed the least-squares regression line for predicting y from x and found it to be: y^=80+16x.
How much, on average, does gas used increase for each additional degree-day?
Answer : ______ cubic feet.
(Give your answer as a whole number.)
Answer:
Amount of natural gas used increased by 19 cubic feet.
Step-by-step explanation:
Given the data in the question;
Let the dependent variable y be the amount of natural gas used ( ft³ )
Also let an independent variable x be be the degree days temperature ( in °F)
So the least squares regression equation is;
\(y^{bar}\) = 80 + 16x
or
amount_of_natural_gas_used = 80 + 16(degree_days_temperature
Th slope or the standardized regression coefficient of the given regression equation is;
b₁ = 16
the slope coefficient b₁ = 16 is tells us that for each additional one-degree days temperature, an amount of natural gas used increased by 19 cubic feet.
Therefore, amount of natural gas used increased by 19 cubic feet.
Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (if it is actually spam) 95% of the time. On the other hand, if an email isn't spam, the test will incorrectly classify it as spam 5% of the time. The prevalence of spam emails is 3 in 10.i) What's the probability that an email picked at random is spam? What's the probability that an email picked at random isn't spam?ii) If you test an email and it reports positive for spam, what is the probability that it is spam? Show your work.iii) If you test an email and it reports negative for spam, what is the probability that it is spam? Show your work.
Answer and Step-by-step explanation:
The computation is shown below:
Let us assume that
Spam Email be S
And, test spam positive be T
Given that
P(S) = 0.3
\(P(\frac{T}{S}) = 0.95\)
\(P(\frac{T}{S^c}) = 0.05\)
Now based on the above information, the probabilities are as follows
i. P(Spam Email) is
= P(S)
= 0.3
\(P(S^c) = 1 - P(S)\)
= 1 - 0.3
= 0.7
ii. \(P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}\)
\(= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }\)
\(= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}\)
= 0.8906
iii. \(P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}\)
\(= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }\)
\(= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}\)
= 0.0221
We simply applied the above formulas so that the each part could come
Answer:
0.0221
Step-by-step explanation:
solve D
6d-11/2=2d-13/2
Answer:
d = -1/4 or -0.25
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Step-by-step explanation:
Answer:
d= -1/4
Step-by-step explanation:
First: subtract 2d from each side so you end up with 4d-11/2=-13/2
Second: next add 11/2 to both sides so you end up with 4d=-1
last: divide each by 4 to get d by itself
your final amswer is d=-1/4
the sum of three consecutive multiples of 7 is 44. Find the multiples.
Answer:
here's the Answer...see that
Step-by-step explanation:
8. Choose all decimals that are equivalent to (7 x 100) + (5 × 1) + (8 × 7) + X 10 (1 × 100). 75.081 705.810 705.801 75.810 705.81 705.081
Answer:
705.81 and 705.810
Step-by-step explanation:
700 + 5 + 0.8 + 0.01 = 705.81
Answers:
705.810
705.81
A car is leaving New York. After 30 minutes, the car is 25 miles from New York, and after 3 hours the car is 200 miles from New York. What is the car's average speed (miles per hour) between the 30 minute and 3 hour time frame
Answer:
57.1428571429 miles per hour Round off the answer to what your teacher asked.
Step-by-step explanation:
Since we want final answer in miles per hour, lets change the 30 mins to 0.5 hours
Phase 1 =25miles per 0.5 hours
Phase 2 = (200miles-25miles) per 3 hours
Speed = distance/time
Average speed = total distance/ time
Total distance is 200miles because both phases say from new york that means it travels 25 miles away from new york then 3 hours later it is 200 miles away from new york
total time =3 hours+0.5 hours = 3.5 hours
Average speed = 200/3.5
Average speed = 57.1428571429 miles per hour
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We want to get the average speed between the 30 minute and 3-hour time frame.
The average speed in that time frame is 70 miles per hour.
We will define average speed as the quotient between the distance travelled and the time it takes to travel that distance.
We know that at 30 minutes, the car is 25 miles away from NY
At 3 hours, the car is 200 miles away from NY.
So the distance travelled in that time frame is:
200 miles - 25 miles = 175 miles.
And the time between 30 minutes and 3 hours is just:
3 h - 0.5h = 2.5 h
So the average speed is:
S = (175 mi)/(2.5 h) = 70 mi/h
The average speed is 70 miles per hour.
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A person invests $8000 in an account at 3% compounded annually. The value V (in $) of the account after t years is described by V=5000(1.03)^t. Find the value of the account after 6 years.
The expression that represent the amount of money in t years then is:
\(V=5000(1.03)^t\)So in 6 years we replace t = 6 so:
\(\begin{gathered} V=5000(1.03)^6 \\ V=5970.26 \end{gathered}\)Lisa received a 70 gift card for a coffee store. She used it in buying some coffee that cost 8.49 per pound. After buying the coffee, she had 36.04 left on her card. How many pounds of coffee did she buy?
Initially she had 70 pounds in her gift card.
After buying her coffee she was left with 36.04 pounds.
Amount she spent on coffee is 70-36.04=34.96
One pound of coffee costs 8.49
To calculate how many pounds of coffee Lisa bought ->
34.96/8.49= 4
So in total she bought 4 pounds of coffee.
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