An equation is linear if the highest power of x in that equation is one.
a) yes
b) yes
c) no
d) yes
A cylinder has a height of 15 feet in a diameter of 14feetFind the volume for each problem used 3.14 for pi in round your answer to the nearest tenth
In general, the volume of a cylinder is given by the formula below
\(\begin{gathered} V_{cylinder}=\pi r^2h \\ \pi=3.14 \\ r\rightarrow\text{ radius, one half of the diameter} \\ h\rightarrow\text{ height} \end{gathered}\)Therefore, in our case,
\(\begin{gathered} V_{cylinder}=3.14*(\frac{14}{2})^2*15=3.14*49*15=2307.9 \\ \Rightarrow V_{cylinder}=2307.9 \end{gathered}\)The answer is 2307.9ft^3
a rectangle with a width of 30 centimeters has a perimiter of 100 centimeters to 160 centimeters graph a compound inequality
Answer:
5 ≤ L ≤ 35
Step-by-step explanation:
Let w represent the width of the rectangle.
The perimeter (P) of the rectangle is given by:
P = 2w + 2L
Where L is the length of the rectangle.
We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:
100 ≤ 2(30) + 2L ≤ 160
100 ≤ 90 + 2L ≤ 160
10 ≤ 2L ≤ 70
We can now divide both sides by 2 to solve for L:
5 ≤ L ≤ 35
Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is: 5 ≤ L ≤ 35
The central angle in a circle of radius 6 meters has an intercepted arc length of 10 meters. Find the measure of the angle in radians and in degrees
Answer:
The central angle is 5/3 radians or approximately 95.4930°.
Step-by-step explanation:
Recall that arc-length is given by the formula:
\(\displaystyle s = r\theta\)
Where s is the arc-length, r is the radius of the circle, and θ is the measure of the central angle, in radians.
Since the intercepted arc-length is 10 meters and the radius is 6 meters:
\(\displaystyle (10) = (6)\theta\)
Solve for θ:
\(\displaystyle \theta = \frac{5}{3}\text{ rad}\)
The central angle measures 5/3 radians.
Recall that to convert from radians to degrees, we can multiply by 180°/π. Hence:
\(\displaystyle \frac{5\text{ rad}}{3} \cdot \frac{180^\circ}{\pi \text{ rad}} = \frac{300}{\pi}^\circ\approx 95.4930^\circ\)
So, the central angle is approximately 95.4930°
Whats is the job of dentisy
Answer:
A dentist, also known as a dental surgeon, is a medical professional who specializes in dentistry, the diagnosis, prevention, and treatment of diseases and conditions of the oral cavity. The dentist's supporting team aids in providing oral health services. Wikipedia
Blake is cutting a piece of rope into fourths. if each piece is 16 inches long, what is the length of the entire rope?
Answer:
64inches.
Step-by-step explanation:
Let x represent the length of entire rope.
Division Equation:
\frac{x}{4} = 16
\frac{x}{4} X 4 =16x4 (Multiply each side by 4)
x=64
Therefore, length of entire rope is 64 inch.What is the volume, in cubic inches, of one cube with an edge length of 13 inch?
evaluate the expression|800|
Remember that
The absolute value of any number is always a positive number
Example
\(|-300|=300\)In this problem
we have a positive number
so
The absolute value of a positive number is equal to the same number
\(|800|=800\)The answer is 800Which expression is equivalent to 1/4 -3/4 x?
Answer:
factor out 1/4 from the expression
1/4x(1-3x)
Solve for k.
k + 4 over 2 = 3
Answer:
K = 1
Step-by-step explanation:
K + 2 = 3
K = 3 -2
K = 1
Answer:
K=2
Step-by-step explanation:
K+4 / 2 = 3
If you input 2 into the equation you get 3.
2+4=6
6/2 = 3
Ella has brought 36 pounds of dog food. She feeds her dog 3/4 pounds for each meal. For how many meals will the food last?
Answer:
48 meals
Step-by-step explanation:
36/(3/4) = (36 *4)/3 = 48
What 2 numbers add up to 37 and multiply to 210?
Answer: 30 and 7
Step-by-step explanation: 30 plus 7 is 37, 30 times 7 is 210
Ms. Nutchern uses 145 beans (or 50% of the can) to make a pot of chili. How many beans are in the
Can
Answer: 290 beans
Step-by-step explanation:
You multiply 145 by 2 since 145 is half of the beans or do 145 divided by 1/2.
145 * 2 = 290.
145/.5 = 290
Hope this helps!!! :)
A rectangular room is
1.5
times as long as it is wide, and its perimeter is
35
meters. Find the dimension of the room.
The length is :
meters and the width is
meters.
The dimensions of the room are approximately 7 meters by 10.5 meters.
The length is 10.5 meters and the width is 7 meters.What are dimensions?In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.
Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.
The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:
\(\text{Perimeter} = 2(\text{length} + \text{width})\)
Substituting the values we have for length and width, we get:
\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)
Simplifying the equation, we get:
\(\rightarrow35 = 2(2.5\text{x})\)
\(\rightarrow35 = 5\text{x}\)
\(\rightarrow\text{x}=\dfrac{35}{5}\)
\(\rightarrow\bold{x\thickapprox7}\)
So the width of the room is 7 meters.
To find the length, we can substitute x into the expression we have for the length:
\(\rightarrow\text{Length} = 1.5\text{x}\)
\(\rightarrow\text{Length} = 1.5(7)\)
\(\rightarrow\bold{Length=10.5}\)
So the length of the room is 10.5 meters.
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Two lines have the equations:
2x + 3y = 15 and
3x – 2y = 3
Solve these equations simultaneously to find the point of intersection of the lines.
Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
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A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=−16t*2 + 88t +6. How long will it take the rocket to reach its maximum height? What is the maximum height?
Question content area bottom
Part 1
The rocket reaches its maximum height at ? second(s) after launch.
Answer:
Step-by-step explanation:
Suppose the random variable X has mean 10 and variance 3. Find an upper bound for the probability: P (X > 15).
Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25
what is a variance?The variance is the difference between the numbers in a set of data, to put it simply. Each number's variability is a statistical statistic that indicates how far off from the mean and from each other number in the set it is.
Here,
Given : mean = 10
varience = 3
Using chebyshevs inequality we have
P(|X-u| ≥ k)≤ \(\sigma^{2}\)/\(k^{2}\)
hence we can have,
=> P(X>15) ≤ 3/\(5^{2}\)
=> P(X>15) ≤ 3/25
Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25
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The population of a city increases by 1% per year. If this year's
population is 264,000, what will next year's population be, to the nearest
individual?
Answer:
266640 population
Step-by-step explanation:
Jose spent 2 hours watching TV.
During that time, there were 12
minutes of commercial. What
percent of the time Jose spent
watching commercials?
Answer:
10%
Step-by-step explanation:
2 hours is 120 minutes.
120/12 = 10%
help pls :') 10th geometry
The value of angle C in given quadrilateral ABCD is 107⁰.
What is the measure of angle C?
The measure of angle C is calculated by applying the following rule of geometry for a quadrilateral as shown below.
Angle A + Angle C = 180 (opposite angles of a quadrilateral are supplementary).
We know the value of angle A, and we are to find the value of angle C as shown below.
C + (2x + 3) = 180
C = 180 - 2x - 3 ------- (1)
Using the knowledge of sum of angles in a quadrilateral, we will calculate the value of x:
A + B + C + D = 360
2x + 3 + 2x - 4 + (180 - 2x - 3) + 3x + 9 = 360
5x + 185 = 360
5x = 175
x = 175/5
x = 35
Angle C = 180 - 2x - 3
= 180 - 2(35) - 3
= 180 - 73
= 107⁰
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Consider the two circles shown.
(-5,6)
To show that circle P is similar to circle Q. circle P is translated t units to the right.
The image is then dilated about its center by a scale factor of s.
What are the values of t and s?
Fill t in blank 1 and s in blank 2. Do not round.
A
6)
A
The values of t and s are 13 and 1.75, respectively.according to the given conditions
What are similar circle ?
Similar circles are circles that have the same shape, but different sizes. More specifically, if two circles are similar, then their corresponding radii are proportional and their corresponding centers are collinear. In other words, if you can transform one circle into the other by uniformly scaling it, then the circles are similar.
To show that circle P is similar to circle Q, we need to show that their corresponding radii are proportional, and their corresponding centers are collinear.
Let's first find the equation of the line that passes through the centers of the two circles:
The equation of the line passing through (-5, 6) and (8, 6) is:
y = 6
Therefore, the centers are collinear.
The radius of circle P is 4, and the radius of circle Q is 7. Therefore, the ratio of their radii is:
7/4 = 1.75
To find the value of t, we need to translate the center of circle P to the right until it coincides with the center of circle Q. Since the x-coordinate of the center of circle P is -5, and the x-coordinate of the center of circle Q is 8, we need to translate circle P by:
t = 8 - (-5) = 13 units to the right
To find the value of s, we need to dilate the image about its center. The center of the image after translation is:
(-5 + 13, 6) = (8, 6)
Therefore, the center of dilation is (8, 6). The scale factor of dilation is the ratio of the radii, which is 1.75. Therefore,
s = 1.75
Hence, the values of t and s are 13 and 1.75, respectively.
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both clocks ring toget (b) Two bells hanged at a school were adjusted at 10:00 am in such a way th one of them rings at the interval of every 45 minutes and another at every minutes. At what time will both bells ring together ?
The Least common multiple (LCM) The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.
The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.
To find the LCM, we can list the multiples of each interval until we find a common multiple.
Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...
Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...
From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.
Thus, the two bells will ring together every 45 minutes.
If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.
Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
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1 point
2. Three boards are unloaded into the factory.
А
B
С
Board A is three times the length of board C, plus 5 inches. Board B is two
times the length of board C, plus 3 inches. The total length of all three boards
is 104 inches. How long is each board?
Your answer
??
The following information was obtained from the accounting records of Letty Stores for the financial year ended 30 June 2021:
R
Inventory (1 July 2020)
100 000
Sales
600 000
Purchases
400 000
Sales returns
2 000
Purchases returns
3 000
Drawings: Bank
1 000
Inventory (30 June 2021)
120 000
Additional information:
1. On 29 June 2021, the owner took inventory with a cost price of R20 000 for own use. This transaction has not yet been recorded.
The entity uses the periodic inventory control system.
Required:
Use the information provided above to calculate the cost of sales for the year ended 30 June 2021.
Answer:
333234
Step-by-step explanation:
333234$ for the next 4 years and the ecvation is 69$+-2$
Which function represents the graph ? :)
Answer:
The function is:
y = -f(x - 4)
Answer all questions please
Answer:
a) f(1) = 3
b) f(-1) = -0.25
c) x = 0, 3
d) x = -0.75
e) domain [-2, 4]
range [-1, 3]
Step-by-step explanation:
In this graph, f(x) is represented by the y-axis.
a) We can see that f(1) (the y-value when x = 1) is 3.
b) Looking at the graph, we can estimate f(-1) as about -0.25.
c) We need to find the x-values when the y-axis is at 1. We can see that there are two points at x = 0, 3.
d) Looking at the graph, we can estimate that f(x) = 0 around when x = -0.75.
e) The domain of a function is its set of x-values. We can see that f(x) spans from x = -2 to x = 4. That range in interval notation is: [-2, 4]
The range of a function is its set of y-values. We can see that f(x) spans from y = -1 to y = 3. That range in interval notation is: [-1, 3].
for the forecasting process to be effective, internal data should be multiple choice highly aggregated. highly disaggregated. sampled once a year. none of the options are correct. kept on an annual basis.
For the forecasting process to be effective, internal data should be highly disaggregated
Predicting the future based on historical and current facts is the forecasting process. The most popular method for doing this is trend analysis. It is typically ideal to use internal data that is significantly disaggregated for forecasting to be successful. This means that rather than aggregating or summarizing the data at a high level, it should be broken down into as much detail as feasible.
Since highly disaggregated data presents a more complete and precise picture of the variables that may impact future events, forecasting can be done more accurately and dependably. This can include information about previous sales, manufacturing rates, inventory levels, costs, and other elements that can be important for forecasting. Whereas, using highly aggregated data can lead to less accurate and reliable forecasts, as it may not capture the full range of factors that may influence future outcomes.
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Are the lines y= -x-2 and 4x-4y =16 perpendicular? Explain
Answer:
Step-by-step explanation:
Last year, the Galaxy Fair Amusement Park installed a family roller coaster they named The Twist. This coaster was designed to accommodate riders from age 4 to adult and features a tall climb hill and several banking turns. Overall, the park has been disappointed in the reception of The Twist, and very few families are riding the coaster this season. After some research, they discovered that park guests think the climb hill is too tall and fast for younger riders. Galaxy Fair Amusement Park has asked a roller coaster design firm to help them redesign The Twist during the coming off season. The quadratic function that represents the current climb hill is () = −0.102 + 3.6 − 2.4 and the quadratic function that represents the proposed redesign of the climb hill is () = −0.032 + 1.62 − 6.87. In these functions, the value of x represents the time, in seconds, since the roller coaster train cars have left the station, and the output variable is the height of the roller coaster track, in feet, above the ground. 1. Rewrite both () and () from standard form into vertex form. Explain your process. HINT: Each function has a common factor. Start by dividing it out. 2. State the vertex of each function. What does each vertex represent in context of The Twist? 3. Compare the a-value of () to the a-value of the parent quadratic function. What effect does this value have on a parabola? 4. Sketch both of the functions () and () on a single xy-plane. Describe the steps you took to create your sketch. 5. Use the vertex forms of () and () and the sketch you created in question 4 to describe the track changes that occur when the function that represents the climb hill is altered from () to (). Do you think these changes will help younger riders better enjoy The Twist? Explain.
Answer:
can you add a picture or summerize this
Step-by-step explanation:
What is 20% of $10