Answer: Yes!
Step-by-step explanation:
1. So you have: 4x+9 and 2(2x+5)-1
2. Simplify the 2nd expression: 2(2x+5) -1 = 4x + 10 - 1 = 4x+9
4x+9 = 4x+9
Answer:
Yes
Step-by-step explanation:
Set them equal to each other to see. If they are, then you should come out with the answer 0 = 0.
4x + 9 = 2(2x + 5) - 1
4x + 9 = 4x + 10 - 1
0 = 0
5. 5(x + 10) + x
A. 6x + 15
B.5x + 15
C.6x + 50
D.4x – 50
Answer: C
Step-by-step explanation:
mrs.darby works at the local bakery as a cake decorator if it takes her 1 1/3 hours to decorate one cake how many cakes can she dcorate in a 30-hour week.
The number of cakes Mrs Darby can decorate in a 30-hour week is 22.5 cakes.
Number of cakes to decorateTime taken to decorate a cake = 1 1/3 hoursTotal time for decoration per week = 30 hoursTime conversion
1 hour = 60 minutes
1 1/3 hours = 60 × 1 1/3
= 60 × 4/3
= 240/3
= 80 minutes
30 hours = 30 × 60
= 1800 minutes
Number of cakes decorated = 1800 / 80
= 22.5 cakes
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use the volume of the given sphere to find x
umm ciao anyways.........................................
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
Answer as soon as possible I’ll give 5 stars!!!
Answer:
B
Step-by-step explanation:
2 times x is 2x
2*8=16
its B
Hey there!
2(x + 8)
DISTRIBUTE 2 WITHIN THE PARENTHESES
= 2(x) + 2(8)
= 2x + 16
Therefore, your answer should be: 2x + 16
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
an elevator descends 26 feet in 6s
Answer:
Starting position of mine shaft is = 10m above ground
but,
it moves in opposite direction so it travels the distance (-350 m ) below the ground.
Total distance covered by mine shaft = 10m - (-350m)
= 10 + 350
= 360m
Now, taken to cover a distance of 6m by it = 1 minute
Time taken to cover a distance of 1m by it = \frac{1}{6\ }\min
Therefore, tie taken to a cover a distance of 360m = \frac{1}{6}\times\ 360\ =\ 60\ \min\ \
60 minutes = 1 hour
thus, in one hour the mine shraft reaches = 350 below the ground
Step-by-step explanation:
How much would you need to deposit in an account now in order to have $4000 in the account in 15 years? Assume the account earns 4% interest compounded monthly. Round to the nearest cent
Answer:
$2500
Step-by-step explanation:
CA=p(1+MR÷1200)
4000=p(1+180×4÷1200) 15 yrs =15×12=180 month
4000=1.6p
p=4000÷1.6
p=2500
please give me brainliest
Please help this question is asking about the volume of a hemisphere and cylinder?
Answer:
pppppppppppppppppppppppppppppppppppppppppp
Mary is the last person to get on a ferris wheel ride at a fair (the ride begins once she is on). The ferris wheel has a radius of 8 metres and has riders walk up stairs 2 metres off the ground to board. If Mary reaches the top of the ride after 1 minute... a.) Sketch 1 full cycle of the ferris wheel ride & determine an algebraic representation.
b.) Nearby trees obstruct people's view during the ride. The view is only enjoyable when someone is above a height of 12m. Determine for how long Mary will be able to enjoy the scenery if the ride is 4 minutes long.
Answer:
a) For sketch see attached picture.
\(y=-8cos(\pi t)+10\)
b) Mary will be able to enjoy the scenery for a total of 1.68 min or about 101 seconds.
Step-by-step explanation:
a) In order to find the algebraic representation of the problem, we must start by drawing a sketch of what the problem looks like (see attached picture). Next, we can analyze it to see what function better fits the situation. In this case, since the ride starts at the lowest point, then we are talking about a negative cos function. A cos function has the followng general form:
\( y= Acos(\omega t - \phi) + C\)
where:
A= amplitude
\(\omega\)=angular speed
t=time
\(\phi\)= phase shift
C= vertical shift.
In this case the amplitude will be the radius of the ferris wheel, so:
A=-8
it's negative because it starts at the lowest point.
the angular speed is the angle the ride will move in a given amount of time. In this case:
\(\omega=\frac{\pi rad}{1 min}\)
\(\omega=\pi rad/min\)
There will be no phase shift for this problem.
the vertical shift is the height of the platform, so:
C= 2
so the algebraic expression is:
\(y=-8cos(\pi t)+10\)
b) In order to find the total time for which she will enjoy the ride we must start by building an inequality:
\(-8cos(\pi t)+10>12\)
and solve it for t. We can start by turning it into an equation, solve it for t and find the answers that can be found into its domain, in this case D=[0,4]
so we get:
\(-8cos(\pi t)+10=12\)
we subtract a 10 from both sides so we get:
\(-8cos(\pi t)=2\)
and divide 8 to both sides so we get:
\(cos(\pi t)=-\frac{1}{4}\)
Next, we take the inverse cosine to both sides and get different answers:
\(\pi t = 1.823+2\pi n\)
and
\(\pi t=4.46 + 2\pi n\)
we take both equations and divide them into pi so we get:
\(t = 0.58+2 n\)
and
\(t=1.42 + 2n\)
so now we find the possible answers that are between 0 and 4 minutes, this is for n=0 and 1, so we get the following times:
t={0.58, 1.42, 2.58, 3.42} min
we can now build our possible intervals for which the ferris wheel is higher than 12 m so we get the following intervals:
(0, 0.58) (0.58, 1.42) (1.42, 2.58) (2.58, 3.42) and (2.58, 4)
so we pick a test value for each of the intervals and test it on our equation. If the equation gives us a number that is greater than 12, then we have a valid interval. If we get a value that is less than 12, then we just discard that interval.
for (0, 0.58) we use 0.5 and get an answer of 10. We discard this interval.
for (0.58, 1.42) we use 1 and get an answer of 18. This is a valid interval.
for (1.42, 2.58) we use a 2 and get an answer of 2. We discard this interval.
for (2.58, 3.42) we use a 3 and get an answer of 18. This is a valid interval.
and finally, for (2.58, 4) we use a 3.5 and get an answer of 10. We discard this interval
So we have two valid intervals now: (0.58, 1.42) and (1.42, 2.58). So now we can use them to find the time for which Mary will enjoy the scenery.
\(t_{1}=1.42min-0.58min=0.85min\)
\(t_{2}=2.58min-1.42min=0.85min\)
\(t_{total}=0.85min+0.85min\)
\(t_{total}=1.68min\)
so:
Mary will be able to enjoy the scenery for a total of 1.68 min or about 101 seconds.
The maintenance department at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 43 and a standard deviation of 11. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 10 and 43
Answer:
The approximate percentage of lightbulb replacement requests numbering between 10 and 43 is of 49.85%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 43
Standard deviation = 11
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above the mean.
What is the approximate percentage of lightbulb replacement requests numbering between 10 and 43?
43 is the mean
10 = 43 - 3*11
So 10 is 3 standard deviations below the mean.
Of the 50% of measures below the mean, 99.7% are between 3 standard deviations below the mean(10) and the mean(43). So
0.5*0.997 = 0.4985.
0.4985*100% = 49.85%.
The approximate percentage of lightbulb replacement requests numbering between 10 and 43 is of 49.85%.
If 4 books cost $10, how much did one book cost hurry pleasee
Answer:
2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
no of books=4
cost of 4 book=10
cost of 1 book=4÷10
PLEASE HELP?
In a bad news message, the reasons for the decision
A: should be long and roundabout to cushion the negative aspects.
B: are so obvious that you don't need to mention them.
C: come directly after the buffer and follow naturally from it.
D: should be glossed over quickly.
Complete this sequence of numbers such that the difference between any two adjacent numbers is the same : 3/k, _, _, 9/2k.
The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.
Let's denote the missing terms as A and B.
The given sequence is: 3/k, A, B, 9/2k.
The common difference can be found by subtracting 3/k from A or B. Therefore:
A - 3/k = B - A = 9/2k - B.
To simplify, we can equate the two expressions for the common difference:
A - 3/k = 9/2k - B.
Next, we can solve for A and B using this equation.
Adding 3/k to both sides gives:
A = 3/k + 9/2k - B.
Now, we can substitute the value of A into the equation:
3/k + 9/2k - B - 3/k = 9/2k - B.
Simplifying further, we have:
9/2k - 3/k = 9/2k - B.
Cancelling out the common terms, we find:
-3/k = -B.
Multiplying both sides by -1, we get:
3/k = B.
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Dylan and Eric were the lead scorers in a basketball game. Dylan scored p points in the second period of the game. Eric scored as many points as Dylan in the same period of the game. a) Write an expression for Eric's score in terms of p. points b) If Dylan scored 18 points in the second period, how many points did Eric score?
I think the answers 3048_&8_9_)_)_
Calculate the distance between the points (4,-2) and (7,-9)
The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.
The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.
The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values:
d = sqrt((7 - 4)^2 + (-9 - (-2))^2)
d = sqrt((3)^2 + (-7)^2)
d = sqrt(9 + 49)
d = sqrt(58)
Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.
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Help with this math question ASAP
Answer:
-2
Step-by-step explanation
Split the limit into lim x to a of 3f(x) + lim x to a of g^2(x)
3 x -2 = -6
and g^2(x) = g(x)^2 so 2^2 is 4
now -6 + 4 = -2
Solve the equation: 9-15x = 28 + 4x
Answer:
x = -1
Step-by-step explanation:
To solve this, we want to isolate x:
9 - 15x = 28 + 4x
Subtract 9 from both sides:
-15x = 19 + 4x
Subtract 4x from both sides:
-19x = 19
Divide both sides by -19:
x = -1
Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.
Calculate the price per 36 rolls for each shop.
Write which shop is the best value for money in the comment box.
Answer:
huhh?1??!?!??!?!??!?!?
Please please help fast
Answer:
no I'm pretty sure. hope it helps
Answer: No
Step-by-step explanation:
First convert 10 feet to yards and also 20 inches to yards.
10 feet to yards is 3.3 and 20 inches to yards is 0.55
Now add them to see if they equal to 4 or greater than.
0.55 + 3.33= 3.88
3.88 is less than 4 so Anis will not be able to make a fence
x(2x+1)(5x-30)≤0
I'm confused help
Answer:
i hate math sorry can't help you with this try anther person cAn help ya
A DJ charges a $350 booking fee, plus an hourly rate of $45. The Martins want to book the DJ for a party that will last 5 hours. How much will the DJ charge them? answer
The DJ will charge them $575.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given that,
Booking fee for DJ = $350
Rate for an hour = $45
Let x be the number of hours DJ is lasting.
Expression to find the total charge for x hours is 350 + 45x.
The Martins want to book the DJ for a party that will last 5 hours.
Cost for the DJ party for Martins = 350 + (45 × 5) = $575
Hence the cost for the DJ party booked by Martins is $575.
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Write a number using the following clues:
a multiple of 6
• greater than 30 but less than 90
Answer: The answer is 36(multiple possible answers though).
Given the linear equation & its graph, what is the slope?
Answer:
Slope: 5/3
Step-by-step explanation:
Linear equation:
y = mx + b
m is the slope
so if,
y = 5/3x - 4
5/3 is the slope.
Hope this helps :)
Let me know if there are any mistakes!!
which of the expressions below has the value found farthest to the right on a number line?
Answer:
the answer for the question is B 10 -(-7)
Given that 8 tan = 3 cos
a) Show that the above equation can be rewritten in the form 3 sin2 + 8 sin − 3 = 0
b) Hence solve, for 0 ≤ ≤ 90, the equation 8 tan 2 = 3 cos 2, giving your answers to 2 decimal places.
The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.
a) We are given the equation 8 tan θ = 3 cos θ.
Dividing both sides of the equation by cos θ, we have:
8 tan θ / cos θ = 3
Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:
8 (sin θ / cos θ) / cos θ = 3
Simplifying further, we get:
8 sin θ / cos^2 θ = 3
Now, multiplying both sides of the equation by cos^2 θ, we have:
8 sin θ = 3 cos^2 θ
Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:
8 sin θ = 3(1 - sin^2 θ)
Expanding the equation, we get:
8 sin θ = 3 - 3 sin^2 θ
Rearranging the terms, we have:
3 sin^2 θ + 8 sin θ - 3 = 0
Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.
b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.
To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.
In this case, the equation factors as:
(3 sin θ - 1)(sin θ + 3) = 0
Setting each factor equal to zero, we have two equations:
3 sin θ - 1 = 0 or sin θ + 3 = 0
For the first equation, solving for sin θ, we get:
3 sin θ = 1
sin θ = 1/3
Taking the inverse sine (sin^-1) of both sides, we find:
θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)
For the second equation, solving for sin θ, we have:
sin θ = -3
Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).
Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.
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(PLEASE ANSWER) Drag the inequalities and end points to make the domain below correct
Answer:
Step-by-step explanation:
-3≤x≤3
Is anyone good with Math or History
The probability of passing at least one will be 0.70.
We know that,
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
here, we have,
Probability of passing history course = 0.59
Probability of passing math course = 0.60
Probability of passing both courses = 0.49
so, we get,
Probability of passing at least one will be
⇒ 0.59 + 0.60 – 0.49
⇒ 0.70
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complete question:
A student is taking two courses, history and math. the probability the student will pass the history course is 0.59, and the probability of passing the math course is 0.60. the probability of passing both is 0.49. what is the probability of passing at least one?
I need help asap please!!!
The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and
What is sine of angles?he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle. It is defined as the length of the opposite side divided by the length of the hypotenuse
The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360
2∅ 2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720
sin 2∅ = sin0 = 0; Sin90=1; sin180=0; sin240= -0.8660; sin270 = -1;
Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397
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I need HELP PLZZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
7 C
Step-by-step explanation:
We want to find the y value for an x value of -9
The y value for the x value of -9 is 7
Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function? It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable. It is nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.
A linear function is a function that has a constant rate of change of the
output per unit change in the values of the input.
The statement that best describes the the function is it is nonlinear because linear functions increase or decrease at the same rate.Reasons:
The initial rate of change of temperature with time = Quick (rapidly) Later change of temperature with time = Slowly (less rapidly)
Given that the tea is initially hot and is expected to cool, we have;
The initial drop in temperature over a unit of time = Δy₁The later drop in temperature over the same unit of time = Δy₂Where;
Δy₁ > Δy₂From the above, we get;
The shape of the graph formed will concave up and decreasing, similar to the graph of exponential decay.Which gives that the graph will be nonlinear because the rate of change
over a given time period is not constant.
Therefore;
The correct option is it is nonlinear because linear functions increase or decrease at the same rate.Learn more here:
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Answer:
is c
Step-by-step explanation:
Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?
It is linear because the graph decreases over time.
It is linear because there is both an independent and a dependent variable.
It is nonlinear because linear functions are increasing functions.
It is nonlinear because linear functions increase or decrease at the same rate.