An inequality that represents the height h, in inches, of a person allowed to ride rollar coaster is h ≥ 48
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Let h represent for the height of any member allowed to ride rollar coaster
From the question we know that everyone's height must be greater that 48 inches.
It means the inequalities would be
h ≥ 48 tall inches
Thus, an inequality that represents the height h is h ≥ 48
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Choose the correct answer below.
A. The numerator of the expression simplifies to for all x, so the limits are equal.
B. The limits and equal the same number when evaluated using direct substitution.
C. Since whenever x, it follows that the two expressions evaluate to the same number as x approaches .
D. Since each limit approaches , it follows that the limits are equal.
Answer:
B. The limits Lim x-->7 (x²-9x+14)/x-7 and lim x--> 7 (x-2) equals the same number when evaluated using direct substitution. The limit of both functions is 5
Step-by-step explanation:
Find the complete question in the attachment.
Given the limit of the functions
Lim x-->7 (x²-9x+14)/x-7
To solve this, we will need to factorize the quadratic function at the numerator first.
x²-9x+14
= x²-2x-7x+14
= x(x-2)-7(x-2)
= (x-7)(x-2)
The expression therefore becomes:
= lim x-->7 (x-7)(x-2)/x-7
= lim x-->7 (x-2)
Now substitute the value of x into the simplified function
lim x-->7 (x-2) = 7-2
lim x-->7 (x-2) = 5
Hence Lim x-->7 (x²-9x+14)/x-7 = 5
From the calculation above, it can be seen that Lim x-->7 (x²-9x+14)/x-7 = lim x--> 7 (x-2) = 5
Hence the correct answer based on the explanation above is B.
The limits Lim x-->7 (x²-9x+14)/x-7 and lim x--> 7 (x-2) equals the same number when evaluated using direct substitution.
identify an equation in point slope form for the line parallel to y=-2/3x+8 that passes throygh (4,-5)
Answer:
The equation in point-slope form for the line parallel to y = (-2/3)x + 8 that passes through the point (4, -5) is:
y - (-5) = (-2/3)(x - 4)
Simplifying, we get:
y + 5 = (-2/3)x + 8/3
y = (-2/3)x - 7/3
Therefore, the equation in point-slope form for the line parallel to y = (-2/3)x + 8 that passes through (4, -5) is y = (-2/3)x - 7/3.
Step-by-step explanation:
need answer please !! :)
Answer:
ST=0.5
Step-by-step explanation:
ST+TU=SU
ST=SU-TU
ST=1.6-1.1
ST=0.5
Answer:
ST=0.5
Step-by-step explanation:
Well you can see that
\(SU=ST+TU\)
because they are in the same segment and ST + SU form the segment SU
so
\(TU=1.1\\\\SU=1.6\\\\ST=?\\\\SU=ST+TU\\\\1.6=ST+1.1\\\\1.6-1.1=ST+1.1-1.1\\\\0.5=ST\\\\ST=0.5\)
A 11-inch candle is lit and burns at a constant rate of 1.1 inches per hour. Let t represent the number of hours since the candle was lit, and suppose R
is a function such that R (t) represents the remaining length of the candle (in inches) t
hours after it was lit.
- What is the domain of R^−1 relative to this context? Enter your answer as an interval.
- What is the range of R^−1 relative to this context? Enter your answer as an interval.
Therefore, in response to the given query, we can state that R(-1)'s inequality possible spectrum is thus: [0, 10]
What is inequality?A connection between two expressions or numbers that is not equivalent in mathematics is referred to as an inequality. Thus, disparity results from inequity. In mathematics, an inequality establishes the connection between two non-equal numbers. Egality and disparity are not the same. Use the not equal sign most frequently when two numbers are not identical. (). Values of any size can be contrasted using a variety of disparities. By changing the two sides until only the factors are left, many straightforward inequalities can be answered. However, a number of factors support inequality: Both parts' negative numbers are divided or added. Exchange the left and the right.
The equation can be used to describe the candle's length, R(t):
R(t) = 11 - 1.1t
where t represents how long the light has been burning, in hours.
We must determine t in terms of R in order to determine the negative of R(t):
R = 11 - 1.1 t = (11 - R)/1.1 t = (11 - R)
R(t)'s inverse function is thus:
\(R^{(-1)}(R) = (11 - R)/1.1\)
0 ≤ R ≤ 11
So, R(-1)'s scope is as follows:
[0, 11]
0 ≤ R ≤ 11
Inputting these limits into the equation for R(-1) yields the following results:
\(R^{(-1)}(0) = 11/1.1 = 10\\R^{(-1)}(11) = 0/1.1 = 0\)
R(-1)'s possible spectrum is thus:
[0, 10]
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4. Compute the unadjusted cost of goods sold for the year. Do not include any underapplied or overapplied overhead in your answer.
5. Assume that the $70,000 ending balance in Work in Process includes $24,000 of direct materials. Given this assumption, supply the information missing below:
The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:
Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory
Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.
5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:
Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead
Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:
Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor
Without knowing the value for direct labor, we cannot compute the overhead cost.
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Convert.
800 oz = lb
Answer:
50 lbs
Step-by-step explanation:
Plz mark brainliest
IZ:
eighted Average
Calculator
There are 15 people in a book club. Ten people read for an average of 65 minutes each day. The remaining people read for an average
of 35 minutes each day.
What was the average reading time for the entire book club each day?
Enter your answer in the box.
min
1 2 3 4
5 Next >
Readin
The average reading time for the entire book club each day is 55 minutes
What was the average reading time for the entire book club each day?From the question, we have the following parameters that can be used in our computation:
10 with a weight of 65 minutes5 with a weight of 35 minutesThe weighted average of the numbers is calculated as
Average = Product of numbers and weights/Sum of weights
So, we have
Average = (10 * 65 + 5 * 35)/15
Evaluate
Average = 55
Hence, the weighted average is 55
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-5p = -40 solve for t
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
Allie is 26 years old. This is half of her
brother Alex's age, plus 5 years.
How old is Alex?
Answer:
18
Step-by-step explanation:
If a quadrilateral has these known angle degrees: 35, 35 and 145, what are the degrees of the fourth angle?
Answer:
145
Step-by-step explanation:
The total sum of all the angles is 360 degrees. If we add up 35, 35, and 145 we get 215. 360-215=145.
help please ?!??!!????
Answer:
2 hours 80 miles I believe is the answer hope this helps
Step-by-step explanation:
Ivan is curious if he can run faster than a rabbit.
He runs `90` feet in `5` seconds. The average rabbit can run at a speed of `35` feet per second.
Is Ivan faster than the rabbit?
Answer:
Step-by-step explanation:
Speed of rabbit per second = 35 ft
Ivan:
Speed in 5 seconds = 90 ft
Speed in 1 second = 90 ÷ 5 = 18 ft
No, Ivan is not faster than rabbit.
The height of a triangle is (2x - 4) and the base is3x^2- 2x +1. Find an expression for the area.
Given
The height of a triangle is (2x - 4) and the base is 3x^2- 2x +1.
Explanation
The area of triangle is determined as
\(A=\frac{1}{2}\times b\times h\)Substitute the value of base and height.
\(\begin{gathered} A=\frac{1}{2}\times(3x^2-2x+1)(2x-4) \\ A=\frac{1}{2}\times(3x^2-2x+1)\times2(x-2) \\ A=(3x^2-2x+1)(x-2) \end{gathered}\)Answer
The expression for the area is
\(A=(3x^2-2x+1)(x-2)\)What number has 1 ten thousand, the same number of thousands as ten thousands, 8 more hundreds than thousands, 7 fewer tens than hundreds, and 1 more than tens?
Answer: 11,923
Step-by-step explanation:
What are the partial products that result from multiplying 15 x 32? (____ x ____) + (____ x ___) + (____ x ____) + (____ x ____)
Dividing both into this (15 x 32) below.
15=10+5
32=30+2 and both of the equations will give you the result of 4 partial products.
10x30=300
5x30=150
10x2=20
5x2=10
Terry is skiing down a steep hill. Terry's elevation, E(t), in feet after t seconds is given by E(t)=2600−50t.
Part 1) Terry started at an elevation of 2,600 ft.
Part 2) The elevation is decreasing by 50 feet per second.
we have
E(t) = 2600 -50t
where
E(t) is Terry's elevation in feet
t is the time in seconds
Part 1) For t=0
substitute the value,
E(0) = 2600 -50(0)
E(0) = 2600
therefore
The equation says us that Terry started at an elevation of 2,600 ft
Part 2) we have
E(t)=2600−50t
This is the equation of the line in slope-intercept form.
The slope m is equal to, m = -50 ft/sec
The slope is negative because is decreasing
therefore
The elevation is decreasing by 50 feet per second.
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a four-story office building has interior columns spaced 30 ft apart in two perpendicular directions. if the flat-roof live loading is estimated to be 30 lb>ft2 , determine the reduced live load supported by a typical interior column located at ground level.
a four-story office building has interior columns spaced 30 ft apart in two perpendicular directions
Determine the service live load for a first floor interior column direction
following ASCE-7 guidelines
Area = 20 * 25 = 500 ft^2 which is > 400 ft^2
Nominal live load on every floor = 80 psf
Hence the reduced service live load ( L )
L = Lo [ 0.25 + 15 / √AI ] ------ ( 1 )
Lo = unreduced load
AT = Tributary area = 500 * number of floors = 2000 ft^2
AI ( influence area ) = AT * number of floors = 2000 * 4 = 8000 ft^2
Lo = 1.6 * 80 psf * 2000 ft^2 = 256 kips
Input values into equation 1 above
L = 106 kips
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write 15/7 as a mixed number
The result can be shown in multiple forms.
Exact Form:
15/7
Decimal Form:
2.142857
Mixed Number Form:
2 1/7
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Usually I try to explain what to do, but it's been a hot second from when I learned this. I uploaded a picture that might help.
This is a free tool for solving math problems if you ever need help: (no spaces or exclamation point) mat h way . co!m
------------------------
much love <333 good bye!!
Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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Ejemplo: catalina compro una piscina para
ponerla en el jardín de su casa.
-Piscina cilíndrica 206cm de diámetro y 60cm
de profundidad además construirá una zona de
cemento y cerco de seguridad alrededor de la
piscina.
¿Cuál es el volumen máximo de agua que
puede contener la piscina? (considere T=3)
¿cuál es la extensión del cerco de seguridad?
(considere П=3)
The length of the fence must be 618cm
The volume that it can hold is 1,909,620 cm³
How to find the volume and the length of the fence?First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:
C = П*D
Here we use П = 3, then:
C = П*206cm
C = 3*206cm = 618cm
Now the volume, for a cylinder of diameter D and height H, the volume is:
V = П*(D/2)²*H
Replacing the values that we know we will get:
V = 3*(206cm/2)²*60cm = 1,909,620 cm³
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A company that usually sells satellite TV equipment for $74 and two year subscription of satellite TV service for 666 has a special offer that is sells the equipment for 420 and two years of service free. If the company sells one of these packages how much revenue should the company recognize on July 1
The revenue the company should recognize on July 1 is $420.
What is the Revenue recognition theorem?Revenue recognition refers to the accounting principle that outlines the conditions under which a company recognizes revenue on its financial statements. Generally, revenue is recognized when the goods or services are delivered to the customer and the payment is reasonably assured.
To determine the revenue the company should recognize on July 1, we need to understand the revenue recognition principles.
In this case, the company is offering a special package that includes satellite TV equipment for $420 and two years of service free.
The company will deliver the equipment to the customer and the customer will receive two years of service for free.
Since the two years of service are free, the company cannot recognize revenue for that portion of the package.
Therefore, the revenue the company should recognize on July 1 is only for the equipment, which is sold for $420.
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What is the simplified form of ether following expression ?
Answer:
C
Step-by-step explanation:
So we have the rational expression:
\(\frac{x^2-11x+30}{x^2-x-30}\)
We can factor the numerator and the denominator:
Numerator:
\(x^2-11x+30\)
Factor:
\((x-5)(x-6)\)
Denominator:
\(x^2-x-30\)
Factor:
\((x-6)(x+5)\)
Substitute:
\(\frac{x^2-11x+30}{x^2-x-30}\\=\frac{(x-6)(x-5)}{(x-6)(x+5)}\)
We can cancel out the (x-6). Thus:
\(=\frac{x-5}{x+5}\)
Our answer is C.
Customer pays $0.035 per minute for local calls, if the customer made 60 local calls that all lasted 3 minutes, how much will the customer pay?
The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.
To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30
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Roy makes $10.15 each time he mows
his neighbor's lawn. In April he mowed
the lawn 2 times. In May he mowed the
lawn 3 times. In June he mowed the
lawn 1 time. How much money did Roy
make in all?
$[?]
Answer:
$60.90
Step-by-step explanation:
Roy makes $10.15 each time he mows his neighbor's lawn. In April he mowed he lawn 2 times. In May he mowed the lawn 3 times. In June he mowed the lawn 1 time. How much money did Roy make in all?
April: 2 times
May: 3 times
June: 1 time
2 + 3 + 1 = 6 times
6 time * 10.15 each time
= $60.90
Answer:
$60.90
Step-by-step explanation:
Add the number of times Roy mowed in total
April: 2
May: 3
June: 1
2 + 3 + 1 = 6
Multiply that amount by the $10.15 he makes each time he mows
10.15(6) = 60.9
= $60.90Cách tính chu vi hình vuông?
Answer:
Xin hãy đánh dấu cho tôi là một người tồi tệ nhất
Để tìm chu vi hình vuông, bạn phải nhân 2 cạnh với 4..
Sử dụng công thức
chu vi = 4 * (một mặt)
What would the circumference of a circle be with a diameter of 15 cm? Use 3.14 for pi.
Answer:
47.1cm²
Step-by-step explanation:
diameter=15cm
circumference of circle= d×3.14
circumference=15×3.14
circumference=47.1
if u help me ill give u brainliest just fill in the blank
Answer:
I'm not doing this to steal points, but I can't see the painting. So yeah, sorry. Plese insert a image of that painting next time. Sorry.
Step-by-step explanation:
Answer:
agreed can't see the whole problem
Step-by-step explanation:
AKA the painting
Consider the triangle.
Which statement is true about the lengths of the sides?
O Each side has a different length.
O Two sides have the same length, which iS less than
the length of the third side.
O The three sides have the same length.
O The sum of the lengths of two sides is equal to the
length of the third side.
Answer:
the last one
Step-by-step explanation:
this is because it is an equalactral triangle meaning that the line at the side is the only one which its degrees is 90 so if u add 45 and 45 its 90(hope this helps)
Answer:
Two sides have the same length, which iS less than
the length of the third side.
Step-by-step explanation:
Hypotenuce is a sode opposite to right angle, which is always bigger then any side of right triangle. since both angles are the same, Adjacent and Opposite are similar size as well.
Write the range of the function using interval notation.
Given:
The graph of a function.
To find:
The range of the given function using interval notation.
Solution:
Range: The set of y-values or output values are known as range.
From the given graph, it is clear that the function is defined for \(0<x<4\) and the values of the functions lie between -2 and 2, where -2 is excluded and 2 is included.
Range \(=\{y|-2<y\leq 2\}\)
The interval notation is:
Range \(=(-2,2]\)
Therefore, the range of the given function is (-2,2].
Find the slope of the line to the right.
9514 1404 393
Answer:
-3/2
Step-by-step explanation:
Points are marked 2 units apart on the x-axis. Between a given point and the one to its right, the y-value changes by -3. The slope is ...
slope = rise/run = (change in y)/(change in x)
slope = -3/2