Answer:
y€R
Step-by-step explanation:
Linear functions always have the same domain and range
Question 6 Nicole split 5/6 pounds of candy among 3 people. What is the unit rate in pounds per person? Write your answer in simplest form.
Answer:
I'm glad you asked!
Step-by-step explanation:
5/18 pounds per person.
he problem already says what to do, we need to divide because that's what Karen is doing, she is spliting or dividing the pounds of candy for 3 people. So, we just need to divide 5/6 by 3,
\(\frac{5}{6} \div 3 = \frac{5}{6} \times \frac{1}{3} =\frac{5}{18}\)
5/18 per person.How many observations should a time study analyst plan for in an operation that has a standard deviation of 1.5 minutes per piece if the goal is to estimate the mean time per piece to within .4 minute with a confidence of 95.5 percent? (Do not round intermediate calculations. Round up your final answer to the next whole number.)
Number of observations
The time study analyst should account for at least 55 observations in order to calculate the mean time per item with a 95.5% confidence level and a 0.4 minute margin of error.
We can use the sample size calculation formula in a confidence interval to get the number of observations required for a time study with the specified parameters:
\(n = (Z * \sigma / E)^2\)
Where:
n = sample size
Z = The target confidence level's Z-score (95.5% translates to roughly 1.96)
σ = procedure standard variation (1.5 minutes per piece)
E = margin of error (0.4 minutes)
Plugging in the values, we can calculate the sample size:
\(n = (1.96 * 1.5 / 0.4)^2\)
\(n = (2.94 / 0.4)^2\)
\(n = 7.35^2\)
n ≈ 54.02
We round up the sample size to the next whole number because we can't have a portion of an observation:
n = 55
Therefore, the time study analyst should prepare for at least 55 observations to estimate the mean time per item with a margin of error of 0.4 minutes and a confidence level of 95.5%.
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A department store buys 400 shirts at a cost of $7,200 and sells them at a selling price of $20
each. Find the percent
Answer:
11%
Step-by-step explanation:
I think that's the answer just check first
Celia wants to buy grass seed to cover her whole lawn, except for the pool. The pool is 6 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover.
Answer:
SINCE YOU WROTE ANYTHING ON MINES IM DOING THE SAME Step-by-step explanation:
What is half of a 3/4 cup?
Answer:0.375
Step-by-step explanation:
3/4=0.75
0.75/2=0.375
(3/4)/2=0.375
The sixth grade garden at Sunnyside School is 14/3 yards long and has an area of 56/9 square yard.
How wide is the garden?
Step-by-step explanation:
I don't know sorry I'm not good with fractions.
how do you right two million four hundred thousand fifty six
Answer:
2,400,056
Step-by-step explanation:
Answer:
2,400,056
Step-by-step explanation:
2 million= 2,000,000
four hundred thousand=400,000
fifty-six=56
The kinetic energy of an object is given by the formula E = mv2. If m is in kg and v is in m/s,
then E is in joules. What is the kinetic energy of an electron (mass = 9.1 x 10-31kg) travelling at a
fifth of the speed of light (speed of light, c = 3 x 108m/s)?
Answer:
9.553×10^-26
Step-by-step explanation:
m= 9.1 ×10 ^-31
v = 3 × 108
= ( 9 .1 × 10 ^- 31) × ( 3 × 108 ) ^2
= 9 .552816 × 10 ^ -26
approximately
9.553×10 ^26
31. What is the value of x³ - y² if x = 2 and y = -3?
A 17
B 15
C -1
D -3
Answer:
C: -1
Step-by-step explanation:
2^3= 8
-3^2= 9
8-9= -1
Given :
x = 2y = -3Inserting the values in the equation provided,
we get :
x³-y² = 2³-(-3)²= 8-9=-1Hence option(C) -1 would be correct
pls help !!!!!!!!!!!!
Answer:
\(C.\quad \dfrac{\sqrt{17}}{6}\)
Step-by-step explanation:
We are given
\(\tan\theta = - \dfrac{\sqrt{19}}{\sqrt{17}} \\\\\)
Square both sides
\(\tan^2\theta = \left(- \dfrac{\sqrt{19}}{\sqrt{17}} \right)^2 = \dfrac{19}{17}\)
\(\tan \theta = \dfrac{\sin\theta}{\cos\theta}\\\\\tan^2 \theta = \dfrac{\sin^2\theta}{\cos^2\theta}\\\)
Substituting for \(tan^2 \theta\) and switching sides we get
\(\dfrac{\sin^2\theta}{\cos^2\theta} = \dfrac{19}{17}\\\\\text{Add 1 to both sides:}\\\\ \\ \dfrac{\sin^2\theta}{\cos^2\theta} + 1 = \dfrac{19}{17} + 1 \\\\)
\(\dfrac{\sin^2\theta + cos^2\theta}{\cos^2\theta} = \dfrac{19 + 17}{17} = \dfrac{36}{17}\)
\(\sin^2\theta + cos^2\theta = 1\)
giving
\(\dfrac{1}{\cos^2\theta} = \dfrac{36}{17}\)
\(\dfrac{17}{36} = \cos^2\theta\\\\ \cos^2\theta = \dfrac{17}{36}\\\\ \cos\theta = \sqrt{\dfrac{17}{36}}\\\\ \cos\theta = \dfrac{\sqrt{17}}{6} \\\\\)
This is choice C. You had it right
The diagram below shows a cement patio and a lawn. Both are rectangular in shape.
The length of the patio is 36 feet and its width is 13 feet. The length of the lawn is 28
feet and its width is 9 feet. What is the area of the cement patio around the outside of
the lawn?
36 ft
lawn
9 ft
13 ft
patio
28 ft
Your answer
Answer:
216 square feet
Step-by-step explanation:
Cement patio outside of lawn
(36*13)-(28*9)
468-252
216
Answer:
216
Step-by-step explanation:
LeBron James made 19 out of 32 shots on Tuesday. What percent of his shots did he make? Round to the nearest whole percent.
Answer:
59%
Step-by-step explanation:
19/32= 59.375 so rounded would be 59 :)
Answer:
59%
Step-by-step explanation:
32 shots is the total, so it's 100%
100% = 32 shots
1% = 32 ÷ 100 = 0.32
19 ÷ 0.32 = 59.375
59.375 estimated to 59
Which expression gives the magnitude of the magnetic field in the region r1 < c (at F)? B(r1) = mu 0 i r1/2 pi b2 B(r1) = mu 0 i/pi r1 B(r1) = 0 B(r1) = mu 0 i(a2 - b2)/2 pi r1 (r21 - b2) B(r1) = mu 0 ir1/2 pi c2 B(r1) = mu 0 ir1/2 pi a2 B(r1) = mu 0 i(a2 + r21 - 2b2)/2 pi r1(a2 - b2) B(r1) = mu 0 i(r21 - b2)/2 pi r1(a2 - b2)
The expression that gives the magnitude of the magnetic field in the region r1 < c (at F) is\(B(r_1) = \frac{mu_0 i(r_{21 }- b_2)}{(2 \pi r_1(a_2 - b_2))}\). This expression considers the distance from the wire, the geometry of the wire, and the current in the wire to calculate the magnetic field magnitude.
The expression that gives the magnitude of the magnetic field in the region r1 < c (at F) is \(B(r_1) = \frac{mu_0 i(r_{21 }- b_2)}{(2 \pi r_1(a_2 - b_2))}\).
This expression is derived from the Biot-Savart law, which relates the magnetic field generated by a current-carrying wire to the distance from the wire and the geometry of the wire.
In this case, the expression takes into account the variables r1 (distance from the wire), c (outer radius of the wire), a (inner radius of the wire), b (distance from the center of the wire to the point F), i (current in the wire), and mu0 (the permeability of free space).
The expression includes the difference between the squares of r1 and b2 in the numerator, and the product of 2 pi r1 and the difference between the squares of a2 and b2 in the denominator.
This formulation accounts for the geometry of the wire and the distance from the wire, providing the magnitude of the magnetic field at point F.
It's important to note that without additional information or context, it's difficult to determine the specific values of the variables in the expression.
Hence, the expression that gives the magnitude of the magnetic field in the region r1 < c (at F) is \(B(r_1) = \frac{mu_0 i(r_{21 }- b_2)}{(2 \pi r_1(a_2 - b_2))}\).
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4. The graph of a linear function is shown. Which best
describes the slope of the line?
A. Zero Slope
B. Undefined Slope
C. Negative Slope
D. Positive Slope
let f be the function given by f(x)= lnx/x for all x>0. the derivative of f is given:
f'(x)= (1-lnx)/x^2
a) write an equation for the line tangent to the graph of f at x=e^2
b) find the x-coordinate of the critical point of f. Determine whether this point is a relative minimum, a relative maximum, or neither. justify your answer.
c) the graph of the function f has exactly one point of inflection. Find the x-coordinate of this point.
d) find thef(x)
a) To find the equation of the line tangent to the graph of f at x = e^2, we need to find the slope of the tangent line and the y-intercept. The slope of the tangent line is given by the derivative of f evaluated at x = e^2: f'(e^2) = (1 - ln(e^2))/(e^2)^2 = (1 - 2)/e^4 = -1/e^4
The y-intercept is found by plugging x = e^2 into the original function and finding the corresponding y-value: f(e^2) = ln(e^2)/e^2 = 2/e^2
We can use this information to write the equation of the tangent line in point-slope form: y - f(e^2) = -1/e^4(x - e^2)
b) To find the x-coordinate of the critical point of f, we need to find the value of x at which f'(x) = 0 or is undefined.
f'(x) = (1 - lnx)/x^2
When we set f'(x) to 0, we get 1 - lnx = 0 lnx = 1 x = e.
As a result, the critical point is at x = e.To determine whether this point is a relative minimum, a relative maximum, or neither, we need to find the second derivative of f(x) and evaluate it at x = e.
f''(x) = -(1 + lnx)/x^3
Evaluating at x = e, we get: f''(e) = -(1 + ln(e))/e^3 = -(1 + 1)/e^3 = -2/e^3
Since the second derivative is negative, the critical point is a relative maximum.
c) To find the x-coordinate of the point of inflection, we need to find the value of x at which f''(x) = 0.
f''(x) = -(1 + lnx)/x^3
Setting f''(x) = 0, we get 1 + lnx = 0 lnx = -1 x = e^-1
So the point of inflection is at x = e^-1.
d) To calculate f(x) = lnx/x, we need to substitute the value of x into the function. f(x) = lnx/x
For example, if we want to calculate f(2) f(2) = ln(2)/2 = 0.693147180559945/2 = 0.346573590279973
So f(2) = 0.346573590279973
The movie started at 7:35 PM and lasted 1 hour and 40 minutes. What time did
the movie end?
Answer:
9:15 PM
Step-by-step explanation:
1 hour and 40 minutes after 7:35 is 9:15
PLSSSS IF YOU TURLY KNOW THISSS
For given linear equation x will be 5.
What is a linear equation ?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form
Ax + B = 0
e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.
The standard form of a linear equation in two variables is of the form
Ax + By = C
e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.
Now,
As given linear equation is
15-x=10
x=15-10
x=5
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How many real solutions exist for this system of equations?
y=x^2+4
y= 4x
ОА. .
zero
OB.
one
Ос.
two
OD
infinite
Reset
Next
Answer:
One
Step-by-step explanation:
Set each equations equal to each other
\( {x}^{2} + 4 = 4x\)
\( {x}^{2} - 4x + 4\)
Find the discrimant.
\({ - 4 {}^{2} - 4(1)(4) } = 0\)
This means there is one real solution. Since the discramnt equal 0.
5.5/1.1
A. 500
B. 50
C. .05
D. .5
E. 5
F. .005
A lawn mowing company is trying to grow it's buisness. It had 30 clans when it started its buisness and wants to increase by 6 new clients each week. Use ab arithmetic sequence to write a function to represent the real world situation and determine the range of the function for the first four weeks of data.
Answer:
The situation per week is 30 + 6n
where n is the number of weeks
Range of the function is 18 for the first four weeks of data
Step-by-step explanation:
Here, we are to use an arithmetic sequence for a representation.
The first term here is a which is 30 clients while the common difference of d is 6 new clients per week
So we can write the nth term of the sequence as;
Tn = a + (n-1)d
Tn = 30 + (n-1)6
Tn = 30+ 6n -6
Tn = 24 + 6n
where n is the number of weeks
Now for the second week we shall have a total of a+ d clients = 30 + 6 = 36
For the third we have 24 + 6(3) = 24 + 18 = 42
For the fourth, we have 24 + 6(4) = 24 + 24 = 48
Thus the range mathematically means the difference between the highest and lowest for that four weeks = 48-30 = 18
Answer:
A lawn-mowing company is trying to grow its business. It had 18 clients when they started its business and wants to increase by 4 new clients each week.
Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.
f(x) = 4x + 18; 0 ≤ y ≤ 4
4. Use the substitution method to determine the solution to this system of equations.
6x – 3y = -9
-2x+y=5
A. (-9,5)
B. (5,-9)
C. no solution
D. infinite number of solutions
Answer:
No solution
Step-by-step explanation:
6X - 3Y = -9--------------(1)
- 2 X +Y= 5---------------(2)
from equation two,
Y = 5+2X------------------(3)
substitute equation (3) into equation (1)
6X-3(5+2X)= -9
opening bracket
6X-15-6X= -9
6X- 6X = -9+15
0 = 6
therefore the answer is no solutionPLS HELP :How is energy causing motion or creating a change in this image? (2 points)
(leaves of a plant in the sunlight)
1.Energy from fuel allows the plant to grow and make its own food.
2.Energy from the sun allows the plant to grow and make its own food.
3.Energy from the wind allows the plant to grow and make its own food.
4.Energy from the water allows the plant to grow and make its own food
Answer:
Not entirely sure but im sure its no. 2
Step-by-step explanation:
Answer:
I think it's 2
Step-by-step explanation:
Last year the cost of Mr. patten’s car insurance was 86.80 per month. This year it inscreased by 5 percent. What was the cost of his insurance after the increase?
Answer:4.34
Step-by-step explanation:
please help again forgot everything
Answer:
a
Step-by-step explanation:
to find a proportion they must equal each other
8/4 in its simplest form is just 2
to make r/3 = 2 r must be 6
6/3 is 2
suppose you build a regression model and the overall f test has a p-value of 0.658. what does this tell you? group of answer choices
A. the model is not useful. B. the variables in the model explains 65.8% of the variation in y. C. all of the explanatory variables are good at predicting the response. D. at least one of the explanatory variables is good at predicting the response.
A. The model is not useful.
What is the relationship between sleep duration and academic performance in college students?In regression analysis, the F-test is used to assess the overall significance of the regression model.
The p-value associated with the F-test represents the probability of obtaining the observed F-statistic (or a more extreme value) if the null hypothesis is true.
In this case, since the p-value is high (0.658), it indicates that there is not enough evidence to reject the null hypothesis.
Therefore, we fail to find a significant relationship between the predictor variables and the response variable, suggesting that the model is not useful in predicting or explaining the variation in the response variable.
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can someone help me with this
The area of the side of the cone is 100.53 cm² and the area of the cricle base is 50.27 cm² while the total surface area is 150.8 cm².
Understanding How to Solve Area of ConeFrom the diagram, we are given:
base radius (r) = 4cm
slant height (l) = 8cm
(a) To find the area of the side of the cone, we need to find the slant height and the base perimeter.
Using the Pythagorean theorem, we can find the height of the cone:
height = √(l² -r²)
= √(8² - 4²)
= √48
= 4√3 cm
The base perimeter is simply the circumference of the circle with radius 4 cm:
base perimeter = 2πr
= 2π(4)
= 8π cm
Now we can use the formula for the lateral surface area of a cone:
lateral surface area = 1/2 (base perimeter) (slant height)
= 1/2 (8π) (8)
= 32π cm²
= 100.53 cm²
Therefore, the area of the side of the cone is approximately 100.53 cm².
(b) The area of the circle base can be found using the formula:
base area = πr²
= π(4)²
= 16π cm²
= 50.27 cm²
Therefore, the area of the circle base is approximately 50.27 cm².
(c) The total surface area of the cone is the sum of the lateral surface area and the base area:
total surface area = lateral surface area + base area
= 32π + 16π
= 48π cm²
≈ 150.8 cm²
Therefore, the total surface area of the cone is approximately 150.8 cm².
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market research indicates that a new product has the potential to make the company an additional $3.8 million, with a standard deviation of $1.8 million. if this estimate was based on a sample of 10 customers, what would be the 90% confidence interval?
The 90% confidence interval is (2.76, 4.84).
The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range.
Standard deviation may be abbreviated SD and is most commonly represented in mathematical texts and equations by the lower-case Greek letter σ (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.
Mean \($(\overline{\mathbf{x}})\) =3.8, sample standard deviation \($(\mathrm{s})\) =1.8, sample size \($(\mathrm{n})\) = 10
since population standard deviation \($(\sigma)$\) is unknown and the value of \($\mathrm{n}$\) is less than 30, use. \($\mathrm{t}$\) - distribution
degrees of freedom =10-1=9
for 90% confidence level with degrees of freedom = 9
\($t_{\frac{\alpha}{2}}=1.833\) (from t- table)
formula: confidence interval for population mean. \($\mu=\bar{x} \pm t_{\frac{\alpha}{2}} *\left\{\frac{s}{\sqrt{n}}\right\}$\)
= 3.8 ± 1.833×\(\left\{\frac{1.8}{\sqrt{10}}\right\}$\)
= 3.8 ± 1.04
= (3.8 - 1.04, 3.8 + 1.04)
= (2.76, 4.84)
Therefore, the 90% confidence interval is (2.76, 4.84).
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Find the value of x in the triangle shown below.
X°
125°
21°
Answer: x= 34
Step-by-step explanation:
Find the average rate of change of f(x)= 5x-2x squared from 1 to 4
The average rate of change of f(x)= 5x-2x squared from 1 to 4 is -7.
To find the average rate of change of the function f(x) = 5x - \(2x^2\) from 1 to 4, we need to calculate the slope of the secant line that passes through the points (1, f(1)) and (4, f(4)).
First, we need to find the y-coordinates of these points by plugging in the corresponding x-values into the function:
f(1) = 5(1) - \(2(1)^2\) = 3
f(4) = 5(4) - \(2(4)^2\) = -18
Therefore, the two points we need to connect with the secant line are (1, 3) and (4, -18).
The slope of the secant line passing through these two points is given by:
slope = (change in y)/(change in x) = (f(4) - f(1))/(4 - 1) = (-18 - 3)/(4 - 1) = -21/3 = -7
Therefore, the average rate of change of the function from 1 to 4 is -7.
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kinetic equation problem
Use the kinematic formula
\({v_2}^2 - {v_1}^2 = 2a\Delta x\)
where \(v_1,v_2\) are initial/final velocities, \(a\) is acceleration, and \(\Delta x\) is displacement. We're given \(a=-5.00\frac{\rm m}{\rm s^2}\) and \(\Delta x=15.0\,\rm m\), and the car comes to a stop so \(v_2=0\). Solve for \(v_1\).
\(-{v_1}^2 = 2\left(-5.00\dfrac{\rm m}{\rm s^2}\right) (15.0\,\mathrm m) \\\\ ~~~~ \implies {v_1}^2 = 150.\dfrac{\rm m^2}{\rm s^2} \\\\ ~~~~ \implies v_1 = \sqrt{150.\dfrac{\rm m^2}{\rm s^2}} \approx \boxed{12.2 \dfrac{\rm m}{\rm s}}\)