Answer:
the solution is positive so the answer is 35/27
the radius of a circle is 10.8ft the length of a chord is 12ft what is the approximate distance of the chord from the center of the circle
Answer:
9.0 ft (nearest tenth)
Step-by-step explanation:
The chord is the base of an isosceles triangle with sides of the radius.
To calculate the approximate distance of the chord from the center of the circle, we need to find the height of this triangle.
\(\sf height=\sqrt{s^2-(\frac{b}{2})^2}\)
(where s is the side length and b is the base length of an isosceles triangle)
Given:
s = radius = 10.8 ftb = chord = 12 ft\(\begin{aligned}\implies \sf height & =\sqrt{10.8^2-\left(\frac{12}{2}\right)^2}\\ & = \sqrt{116.64-36}\\ & = \sqrt{80.64}\\ & = 8.979977728...\\ & = 9.0\: \sf ft\:(nearest\:tenth) \end{aligned}\)
Perpendicular=P=?
Apply Pythagorean theorem
P²=H²-B²P²=10.8²-6²P²=80.64P=8.97P≈9ftAbout ______ of aluminum cans are recycled today. one-tenth one-fifth one-half two-thirds three-fourths
About two-thirds of aluminum cans are recycled today. Aluminum cans are the most sustainable beverage package on virtually every measure.
According to the Can Manufacturers Institute, aluminum cans are recycled at a rate of 63.6% in the United States in 2019. This means that more than two-thirds of aluminum cans are recycled, which makes aluminum cans one of the most recycled beverage containers in the world.
In the recycling process, the aluminum is shredded, melted, and formed into blocks called ingots. These ingots can be used to make new aluminum cans, which saves energy and conserves natural resources.
Aluminum cans are infinitely recyclable, which means they can be recycled repeatedly without losing quality. Recycling one aluminum can saves enough energy to power a TV for three hours, and it saves enough energy to light a 100-watt bulb for 20 hours.
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The random variable X denotes the time taken for a computer link to be made between the terminal in an executive's office and the computer at a remote factory site. is known to have a Normal distribution, with a mean of 15 seconds and a standard deviation of 3 seconds. P(>20) has a rounded value of:
P(X > 20) has a rounded value of 0.0475.
What is mean?By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.
To find P(X > 20), where X is a normal random variable with mean μ = 15 seconds and standard deviation σ = 3 seconds, we need to standardize the variable and use the standard normal distribution.
Let Z be a standard normal random variable, then we can standardize X as follows:
Z = (X - μ) / σ = (20 - 15) / 3 = 1.67
Using a standard normal table or calculator, we can find the probability:
P(Z > 1.67) = 0.0475 (rounded to four decimal places)
Therefore, P(X > 20) has a rounded value of 0.0475.
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.Simon makes a profit of $1.35 on each hot dog he sells. If a hot dog costs him $0.85 to make, how much does Simon sell for each hot dog?
Answer:
2.2 $
Step-by-step explanation:
profit= 1.35 $
cost= 0.85 $
Price= profit+cost
P=1.35+0.85
P=2.2 $
Find the distance between the points (-5, -5) and (-9, 6).
Answer:
11.7047
Step-by-step explanation:
who so many distance questions?
the bottom-up approach to metrics yield the most easily obtainable metrics however many metrics collected in this approach may not be suitable for top-management. true or false
The statement ''The bottom-up approach to metrics yield the most easily obtainable metrics however many metrics collected in this approach may not be suitable for top-management.'' is true because the bottom-up approach to metrics focuses on collecting data and metrics at lower levels within an organization, such as individual departments or teams.
These metrics are typically more operational and task-oriented, providing detailed insights into specific areas of the business.
However, while the bottom-up approach yields easily obtainable metrics, many of these metrics may not be directly relevant or suitable for top-management decision-making.
Top management typically requires high-level, strategic metrics that align with organizational goals and provide a holistic view of performance.
To cater to the needs of top management, a top-down approach is often employed, which involves identifying key strategic metrics and aligning them with organizational objectives.
This approach ensures that the metrics collected are meaningful, actionable, and support informed decision-making at the executive level.
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help me with this please
Answer:
Perimeter= 20 cm
Area = 25 cm^2
Difference between 28cm^2 and 8cm^2= 20cm^2
Step-by-step explanation:
The formula to calculate the perimeter of a square is P= 4 * (the length of any side or "s").
Therefore:
P = 4 * 5cm
P = 20 cm
The formula for calculating the area of a square is A= (length of any side or "s")^2
So:
A= 5cm^2
A= 25cm^2
Remember the units in your answer!
The difference between indicates subtraction, and 28cm^2 and 8 cm^2 are like terms so:
28cm^2 - 8 cm^2 = 20 cm^2
WHATS 9+10??????????????
Juan compró un led TV en cuotas que costó $ 76.000=. Si le falta pagar 3 cuotas y ya pagó $ 47.000, ¿Cuál es el valor de cada cuota fija?
Respuesta:
$ 9666. 67
Explicación paso a paso:
Costo de TV = $ 76,000
Número de cuotas = 3
Monto ya pagado = $ 47000
Amontof cada cuota fija = Cantidad que queda por pagar / 3
Cantidad que queda por pagar = Costo de TV - Cantidad ya pagada
Cantidad que queda por pagar = $ (76000 - 47000) = $ 29000
Monto de cada cuota fija = $ 29000/3 = $ 9666. 67
Write a recursive rule for the sequences
9. 2, 6, 10, 14, 18,...
10. 7, 14, 42, 168, 840,...
Answer:
See explanation
Step-by-step explanation:
First One: +4: 2 + 4(n-1) for value n
Second One: 7*((n-1)*(n)) for value n > 1
Express 330 as a product of prime
factors
Answer:
All Factors of 330: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165 and 330 Prime Factors of 330: 2, 3, 5, 11Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
whats -5 5/8 divided by -4 7/12 as a fraction?
at a high school, 18% of all students are in the school musical and the choir, and 32% of all students are in the school musical. what is the probability that a student is in choir, given that the student is in the school musical? a. 14% b. 50% c. 56% d. 178% please select the best answer from the choices provided a b c d
The probability that a student is in choir, given that the student is in the school musical is (c) 56%
What is the probability that a student is in choir, given that the student is in the school musical?From the question, we have the following parameters that can be used in our computation:
School musical and choir = 18%
School musical = 32%
The requird probabilty is calculated as
P = School musical and choir/School musical
Substitute the known values in the above equation, so, we have the following representation
P = 18%/32%
Evaluate
P = 56%
Hence, the probability is (c) 56%
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T=21and u =4 what is \sqrt(t+U)
Answer: 5
Step-by-step explanation: 21 + 4 = 25
square root of 25 = 5
Answer and Step-by-step explanation:
T = 21
U = 4
\(\sqrt{ 21 + 4} \\\\\\\sqrt{25} \\\\\\5\)
5 is the answer to the expression.
#teamtrees #PAW (Plant And Water)
Can someone please help
Answer:
D can be used
Step-by-step explanation:
if the residual is 0.6 and the observed is 29.9, what is the predicted value?
Based on the given information, the predicted value can be calculated by adding the residual to the observed value. In this case, the predicted value is 30.5.
To determine the predicted value, we need to add the residual to the observed value. The residual represents the difference between the observed value and the predicted value. In this scenario, the residual is given as 0.6, and the observed value is 29.9. Adding the residual of 0.6 to the observed value, we get the predicted value of 30.5.
The predicted value is obtained by considering the residual as an adjustment to the observed value. It represents the estimated value based on the available data. In this case, the residual of 0.6 indicates that the predicted value is slightly higher than the observed value. The addition of the residual to the observed value accounts for any systematic deviation or error in the prediction. Therefore, the predicted value is 30.5.
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The box-and-whisker plot below
shows the test scores for the last
quiz. What is the interquartile range?
IS
40
50
60
70
80
90
100
Answer:
Interquartile range = 40
Step-by-step explanation:
interquartile range = Q3-Q1
It has 7 numbers, in order to make it even we remove the middle number (70) to make two sets of quartiles
Q1 = 50 (middle of the lower quartile)
Q3= 90 (middle of the higher quartile)
Which of the following alternative energy technologies is most likely to be used to power a car?
a.
wind
b.
geothermal
c.
biofuel
d.
hydropower
Please select the best answer from the choices provided
A
B
C
D
Answer: c. biofuel
Step-by-step explanation: just took test
The best alternative energy technologies is most likely to be used to power a car is bio-fuel
What is Bio-Fuel?Bio-fuel is a type of fuel that is created quickly from biomass, as opposed to the lengthy natural processes that result in the development of fossil fuels like oil. Plants may be used to make biofuel, as well as home, commercial, and agricultural biowaste.
Given data ,
Any fuel that is made from biomass, or plant, algae, or animal waste, is referred to as a biofuel. Unlike to fossil fuels like petroleum, coal, and natural gas, biofuel is seen as a source of renewable energy due to the ease with which such feedstock material may be supplied.
In light of rising petroleum prices and growing concern about the role fossil fuels play in global warming, biofuel is frequently promoted as a convenient and ecologically friendly substitute for petroleum and other fossil fuels.
Hence , the alternative to power a car is bio-fuel
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Suppose f(x,y) is the temperature (in °C) of a flat sheet of metal at position (z,y) (in cm). Suppose VS (7.2)=(-2.4) Suppose an ant walks on the pan. It's position (in cm) at timet (in s) is given by F(t). We have (6) = (7,2) and (6)=(-3,4) By the temperature of the ant," we mean the temperature at the position of the ant. (a) What are the units of Vf? (b) How would you interpret (6)= (-3, 4) within this problem? Answer using a sentence about the ant. Include units your answer.
(a) The units of Vf, the velocity vector of the ant, would be cm/s.
(b) The equation (6) = (-3, 4) within this problem represents the position of the ant at time t = 6 seconds, where the ant is located at coordinates (-3, 4) in centimeters.
(a) The units of Vf, the velocity vector of the ant, can be determined by considering the units of the given information. The position of the ant is given in centimeters (cm), and the time is given in seconds (s). Velocity is defined as the rate of change of position with respect to time. Therefore, the units of Vf would be the units of distance (cm) divided by the units of time (s), resulting in cm/s.
(b) The equation (6) = (-3, 4) within this problem corresponds to the position of the ant at a specific time, namely t = 6 seconds. The coordinates (-3, 4) indicate the position of the ant on the flat sheet of metal. The first coordinate (-3) represents the ant's horizontal position along the z-axis, while the second coordinate (4) represents the ant's vertical position along the y-axis. These coordinates are given in centimeters (cm).
Interpreting the position (6) = (-3, 4) in the context of the problem, we can understand that at t = 6 seconds, the ant is located at the coordinates (-3, 4) on the metal sheet, which indicates the specific position of the ant relative to the z and y axes. The units of the coordinates are in centimeters, representing the spatial location of the ant.
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The total number of seashells s divided by 10
Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and the radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents 1.5 feet.
1. The area of the scale drawing of the park is 146,880 square inches (Option J).
2. The perimeter of the park is 126 feet (Option D).
3. The length of the south side of the park is 40% of the length of the north side (Option F).
1. To find the area of the scale drawing of the park, we need to calculate the area of the trapezium. The formula for the area of a trapezium is (base1 + base2) * height / 2.
Using the scale, the lengths of the bases (parallel sides) in feet would be:
Base1 = 28 inches * 1.5 feet/inch = 42 feet
Base2 = 40 inches * 1.5 feet/inch = 60 feet
Plugging in the values into the formula, we have:
Area = (42 + 60) * 16 / 2 = 1020 square feet
Since the answer options are in square inches, we need to convert the area back to square inches:
Area = 1020 square feet * 144 square inches/square foot = 146880 square inches
Therefore, the area of the scale drawing of the park is 146880 square inches.
2. The perimeter of the park can be calculated by summing up the lengths of all sides.
The lengths of the sides in feet would be:
Side1 = 28 inches * 1.5 feet/inch = 42 feet
Side2 = 40 inches * 1.5 feet/inch = 60 feet
Side3 = 16 inches * 1.5 feet/inch = 24 feet
Adding up all sides, we have:
Perimeter = Side1 + Side2 + Side3 = 42 feet + 60 feet + 24 feet = 126 feet
Therefore, the perimeter of the park is 126 feet.
3. To find the percentage length of the south side compared to the north side, we can calculate:
Percentage = (South Side Length / North Side Length) * 100
Using the scale, the length of the south side in feet would be:
South Side Length = 16 inches * 1.5 feet/inch = 24 feet
The length of the north side is already given as 40 inches * 1.5 feet/inch = 60 feet.
Plugging in the values, we have:
Percentage = (24 feet / 60 feet) * 100 = 40%
Therefore, the length of the south side of the park is 40% of the length of the north side.
Complete Question:
Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and the radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents 1.5 feet.
1. What is the area, in square inches, of the scale drawing of the park? 448 544 H. 640 672 K. 1.088
2. Mikea's proposal includes installing a fence on the perimeter of the park. What is the perimeter, in feet, of the park? A. 84 B. 88 C. 104 D. 126 E 156
3. The length of the south side of the park is what percent of the length of the north side? F. 112% G. 1245 H. 142 J. 1754 K. 250%
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Beth works at a furniture store.
She earns $1,200 a month plus 3% commission on all the furniture she
sells.
She sold x dollars worth of furniture this month.
Which expression represents the amount of money Beth earns this
month?
A. 1,200 + 0.03x
B. 1,200 + 1.03x
C. 1,200(0.03x)
D. 1,200(1.03x)
Answer:
A
Step-by-step explanation:
HAD QUESTON
Can someone please assist me...thank you
Answer:
x=10, y=24
\(\left(34-y\right)^2+y^2=676\)
Step-by-step explanation:
Answer:
x = 10 and y = 24
Step-by-step explanation:
Perimeter of triangle = sum of the 3 sides of the triangle
:. x + y + 26 = 60
x + y = 60 - 26
x + y = 34 ---- (1)
From Pythagoras theorem,
x² + y² = 26²
x² + y² = 676 ---- (2)
From equation (1): y = 34 - x
:. x² + (34 - x)² = 676
x² + 1,156 - 68x + x² = 676
x² + x² - 68x + 1,156 - 676 = 0
2x² - 68x + 480 = 0
x² - 34x + 240 = 0
(x² - 24x) - (10x + 240) = 0
x(x - 24) -10(x - 24) = 0
(x - 24)(x - 10) = 0
x = 24 or 10
y = 34 - x
y = 34 - 10 = 24
:. x = 10 and y = 24
Evaluate x² + 2x – 1 when x =
a) 0
b) -2
c) 4
Answer:
Substitute respective values of x into the equation.
a) When x = 0,
(0)² + 2(0) - 1 = -1
Ans: -1
b) When x = -2,
(-2)² + 2(-2) -1 = 4 + (-4) - 1
= - 1
Ans: -1
c) When x = 4,
(4)² + 2(4) - 1 = 16 + 8 - 1
= 23
Ans: 23
Compute Δy and dy for the given values of x and dx = Δx.
Compute Δy and dy for the given values of x and dx = Δx.
y = x2 − 6x, x = 5, Δx = 0.5
Answer:
∆y = 2.25dy = 2.0Step-by-step explanation:
You want values of ∆y and dy for y = x² -6x and x = 5, ∆x = dx = 0.5.
DyThe value of dy is found by differentiating the function.
y = x² -6x
dy = (2x -6)dx
For x=5, dx=0.5, this is ...
dy = (2·5 -6)(0.5) = (4)(0.5)
dy = 2
∆yThe value of ∆y is the function difference ...
∆y = f(x +∆x) -f(x) . . . . . . . where y = f(x) = x² -6x
∆y = (5.5² -6(5.5)) -(5² -6·5)
∆y = (30.25 -33) -(25 -30) = -2.75 +5
∆y = 2.25
__
Additional comment
On the attached graph, ∆y is the difference between function values:
∆y = -2.75 -(-5) = 2.25
and dy is the difference between the linearized function value and the function value:
dy = -3 -(-5) = 2.00
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Please help
I failed this lesson and I really don’t wanna get held back again
Answer:
TOP LEFT
Step-by-step explanation:
If the null space of a 8 × 7 matrix A is 4-dimensional, what is the dimension of the column space of A? dim Col A-(Simplify your answer.)
The dimension of the column space of A is 3.
How the dimension of the column space of A is 3?
The rank-nullity theorem states that for any matrix A, the sum of the dimensions of the null space and the column space is equal to the number of columns in A, i.e.,
dim Null A + dim Col A = number of columns in A
In this case, we have a 8 × 7 matrix A, so the number of columns in A is 7. We are also given that the null space of A is 4-dimensional, i.e., dim Null A = 4. Using the rank-nullity theorem, we can find the dimension of the column space of A:
dim Col A = number of columns in A - dim Null A
dim Col A = 7 - 4
dim Col A = 3
Therefore, the dimension of the column space of A is 3.
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Work out m and c for the line: 2 y + 3 x = − 5
Answer:
m is -3/2
c is -5/2
Step-by-step explanation:
The standard linear equation is given by;
\({ \tt{y = mx + c}}\)
» m is the slope and c is the y-intercept
Then, our slope is;
\( { \tt{2y + 3x = - 5 }} \\ \\ { \tt{2y = - 3x- 5}} \\ \\ { \tt{y = - \frac{3}{2}x - \frac{5}{2} }}\)
What is the difference, in hours and minutes, between these times? Will mark as brainliest.
a) 12:35 and 15:20
b) 10:15 and 13:05
c) 4:30am and 6:50am
d) 9:55am and 1:15pm
Answers:
a) 2 hours and 45 minutes (2:45)
b) 2 hours and 50 minutes (2:50)
c) 2 hours and 20 minutes (2:20)
d) 3 hours and 20 minutes (3:20)
Step-by-step explanation:
Subtract each times.
Replace the 100 value with 60 to represent minutes.
a) 15:20 - 12:35 = 2:45.
b) 13:05 - 10:15 = 2:50.
c) 6:50 - 4:30 = 2:20.
d) 13:15 (1:15 p.m.) - 9:55 = 3:20.
the dependent variable must be _____ in order to conduct an anova.
The dependent variable must be continuous in order to conduct an ANOVA (Analysis of Variance) test.
Let me briefly explain the key terms and reasoning:
Dependent variable:
This is the outcome variable that you are measuring in an experiment or study.
It depends on the independent variable(s), which are the factors you manipulate or observe to determine their effect on the dependent variable.
Continuous variable:
A continuous variable is a numerical variable that can take on an infinite number of values within a given range. Examples include weight, height, and temperature.
ANOVA:
ANOVA is a statistical method used to compare the means of two or more groups to determine if there are significant differences between them.
It evaluates the effect of one or more independent variables on a continuous dependent variable.
To conduct an ANOVA, the dependent variable must be continuous because the test relies on calculating the variance within and between groups.
The variance is a measure of dispersion or spread of the continuous data.
If the dependent variable were not continuous, it would be difficult to quantify the differences between group means, making it impossible to determine if the independent variable(s) had a significant effect.
ANOVA test, the dependent variable must be continuous, allowing for the calculation of variances and comparison of group means to determine any significant differences based on the effect of the independent variable(s).
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