Answer: 7m+15
Step-by-step explanation:
If it costs $16 for 2 lbs, what is the unit rate? AKA what is the cost per pound?
Answer: $8 per pound
Step-by-step explanation: 16/2=8
an exponential distribution has a mean of 0.25. Find the probability that x>0.75
Answer:
Step-by-step explanation:
not clear
Can someone please help me with this question, thank you! :)
Answer:
14
Step-by-step explanation:
Sure thing, just use PEMDAS!
(Simplify first so that 24/4 = 6)
2 x 1 + 2 x 6
2 + 2 x 6
2 + 12
14
Answer:
The answer is 14.
Step-by-step explanation:
To solve this equation, we need to follow the order of operations or PEMDAS:
1. Simplify 24/4; after dividing, you should receive 6. (2 x 1 + 2 x 6)
2. Multiply 2x1; you should then receive 2 [anything times 1 stays the same!]. (2 + 2 x 6)
3. Multiply 2x6; assuming you did this correctly, you get 12. (2 + 12)
4. Add 2 and 12. You should end up with 14.
14 is your final answer.
Find the values of the six trigonometric functions for the angle in standard position determined by each point.
(-8,-15)
These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).
To find the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15), we can use the coordinates to determine the values.
First, we need to find the hypotenuse of the right triangle formed by the point (-8, -15) and the x-axis. Using the Pythagorean theorem, we get √((-8)^2 + (-15)^2) = √(64 + 225) = √289 = 17.
Next, we can determine the values of the trigonometric functions:
1. Sine (sin): -15/17
2. Cosine (cos): -8/17
3. Tangent (tan): -15/-8 = 15/8
4. Cosecant (csc): 17/-15 = -17/15
5. Secant (sec): 17/-8 = -17/8
6. Cotangent (cot): -8/15
These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).
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These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).
To find the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15), we can use the coordinates to determine the values.
First, we need to find the hypotenuse of the right triangle formed by the point (-8, -15) and the x-axis. Using the Pythagorean theorem, we get √((-8)² + (-15)²) = √(64 + 225) = √289 = 17.
Next, we can determine the values of the trigonometric functions:
1. Sine (sin): -15/17
2. Cosine (cos): -8/17
3. Tangent (tan): -15/-8 = 15/8
4. Cosecant (csc): 17/-15 = -17/15
5. Secant (sec): 17/-8 = -17/8
6. Cotangent (cot): -8/15
These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).
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49 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 28.6 pounds. Assume that What is the 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service?
A. 27.5 to 29.7 pounds
B. 27.7 to 29.5 pounds
C. 27.6 to 29.6 pounds
D. 27.9 to 29.3 pounds
The correct answer is option C: 27.6 to 29.6 pounds.
To calculate the 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service, we can use the following formula:
CI = X ± (tα/2)(s/√n)
where:
X is the sample mean weight
tα/2 is the t-value from the t-distribution with (n - 1) degrees of freedom and α/2 level of significance (α/2 = 0.025 for a 95% confidence interval)
s is the sample standard deviation of weights
n is the sample size
We are given that the sample size is n = 49 and the sample mean weight is X = 28.6 pounds. We do not have the sample standard deviation, so we will assume it is unknown and use a t-distribution to estimate the standard error of the sample mean.
We want to calculate the 95% confidence interval, so α/2 = 0.025 and the degrees of freedom are (n - 1) = 48. From a t-distribution table, the t-value for a 95% confidence interval with 48 degrees of freedom is approximately 2.01.
Now we need to estimate the sample standard deviation, s, using the sample data. We can use the formula:
s = sqrt[ Σ(xi - X)² / (n - 1) ]
where xi is the weight of the ith package in the sample.
Without the actual data values, we cannot compute the exact value of s, but we can estimate it using the sample variance. We know that:
s² = Σ(xi - X)² / (n - 1) = (49 - 1) / 48 * s²
So, an estimate of s is:
s = sqrt[ (SS / (n - 1)) ] = sqrt[ (Σ(xi - X)² / (n - 1)) ]
where SS is the sum of squares of deviations of the sample data from the mean.
Assuming the sample standard deviation is unknown and using the above formula, we can estimate s as:
s ≈ 2.7 pounds
Substituting the known values into the formula for the confidence interval, we have:
CI = X ± (tα/2)(s/√n)
= 28.6 ± (2.01)(2.7/√49)
= 28.6 ± 0.99
Therefore, the 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service is (28.6 - 0.99, 28.6 + 0.99), or approximately (27.6, 29.6) pounds.
So, the correct answer is option C: 27.6 to 29.6 pounds.
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WILL GIVE BRAINLIEST TO THE FIRST PERSON !!! p(a)=0.60 p(b)=0.30 and p(a and b)=0.15. What is p (A or B)?
A. 0.15
B. 0.18
C. 0.75
D. 0.90
Answer:
C. 0.75
Step-by-step explanation:
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.60 + 0.30 - 0.15
P(A or B) = 0.75
What is the Value of f(6) if f(x)=2x-11
a. -3
b. -1
c. 1
d. 23
Ill give brainiest to anyone who can explain this to me. I have a test tomorrow and don't understand this specific type of problem
Answer:
f(x)=2x-11
f(6)=2(6)-11
=12-11
=1
and the answer is c.
Explanation:
f(6) means you have to replace all x's in the function with 6.
For example, if the problem was asking you what is the value of f(10) you would have to replace all the x's in the respective function with 10 and so on.
zeros –5 and 1, and with y-intercept-10
Answer:
rise over run go up y and right x
Use the rational zeros theorem to list all possible rational zeros of the following. g(x) = 3x^3 - 5x^2 + 8x + 7 Be sure that no value in your list appears more than once.
The possible rational zeros of the function g(x) = 3x³ - 5x² + 8x + 7 are
±1, ±7, ±1/3, and ±7/3.
To find the possible rational zeros of the function
g(x) = 3x³ - 5x² + 8x + 7, we can use the rational zeros theorem. According to the theorem, the possible rational zeros are of the form p/q, where p is a factor of the constant term (7) and q is a factor of the leading coefficient (3).
The factors of 7 are ±1 and ±7, and the factors of 3 are ±1 and ±3. So, the possible rational zeros are ±1, ±7, ±1/3, and ±7/3.
Therefore, the possible rational zeros of the function
g(x) = 3x³ - 5x² + 8x + 7 are ±1, ±7, ±1/3, and ±7/3. These are all the potential values of x for which g(x) could be equal to zero.
It is important to note that while these values are possible rational zeros, they are not guaranteed to be zeros of the function. Additional analysis or calculations would be needed to determine which of these possible zeros are actually valid zeros of the function.
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can somebody please tell me how we can answer this
The final velocity and displacement after 5 seconds are 19.3m/s and 59m and the acceleration is 0.7m/s²
What are Equations of MotionThe equations of motion are a set of mathematical equations that describe the motion of an object in terms of its position, velocity, and acceleration. These equations are used in physics, engineering, and other fields to predict and analyze the motion of objects.
The equations are;
v = u + at ...eq(i)
v² = u² + 2as ...eq(ii)
s = ut + 1/2 at² ...eq(iii)
2.
From the first equation of motion;
v = u + at
v = 4.3 + 3(5)
v = 19.3m/s
The displacement after 5 minutes will be
From third equation of motion;
s = ut + 1/2 at²
s = 4.3 * (5) + 1/2(3)(5)²
s = 59m
1)
distance = 1.0 * 10²m
time = 12.11s
acceleration = ?
Acceleration = velocity / time
velocity = distance / time
velocity = 1.0×10² / 12.11
velocity = 8.23m/s
acceleration = velocity / time
acceleration = 8.23 / 12.11
acceleration = 0.7 m/s²
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A mobile shop dealer sells his goods at 12% profit. If his total sales on a particular day is Rs.56000, what was his outlay?
Please provide steps. thanks
Answer:
Um it 6720 0r 56672
Step-by-step explanation:
an initial population of 765 quail increases at an annual rate of 16%. write an exponential function to model the quail population. what will the approximate population be after 4 years?
An exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.
Population growth is seen to increase at an exponential rate. We use the following to model this growth.
y = A₀(1 + r)ⁿ
where
y = value at time
A₀ = original value
r = rate of growth
n = time elapsed
An exponential function that models the quail population is set up like:
y = 765(1+0.16)ⁿ
so that, for example, if we wanted to figure out the population at time (4 years), then we would set up the function as follows,
y = 765(1+0.16)⁴
y = 765(1.16)⁴
y = 765* 1.81
to get
y = 1384.65 quails after 4 year has elapsed.
Hence, an exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.
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2. The volume of a sphere can be given by the formula V = 4.18879r³. You have to design a spherical container that will hold a volume of 100 cubic inches. What should the radius of your container be? (SHOW ALL STEPS AND WORK PLS)
The radius of the spherical container should be approximately 2.87941 inches to hold a volume of 100 cubic inches.
What is the radius of the spherical container?A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.
Given the formula for volume of sphere in the question:
V = 4.18879r³
If a spherical container has a volume of 100 cubic inches, the we can calculate its radius using the above formula.
V = 4.18879r³
r³ = V/4.18879
r = ∛( V/4.18879 )
Plug in the volume of the container:
r = ∛( 100in³ / 4.18879 )
r = 2.87941 in
Therefore, the radius is approximately 2.87941 inches.
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I need help with my Alg 2 work.
Help quickly if possible.
Thanks.
Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.
What are some examples of how exponential functions are employed in mathematics and in real life?Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.
Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.
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Which graph shows a decreasing function in interval (1), an increasing function in interval (2), a constant function in interval (3), and a decreasing function in interval (4)?
The graph that shows the function with the determined behavior is the last graph, circled on the image given at the end of the answer.
How to determine the behavior of the function?The graph of a function is classified as either increasing, decreasing or constant, as follows:
Increasing: as x increases the function increases, that is, the graph moves up.Decreasing: as x increases the function decreases, that is, the graph moves down.Constant: as x increases the function remains constant, that is, the graph stays at the same position.Hence the fourth graph on the image given at the end of the answer is the one with the desired behavior on each interval.
Missing InformationThe graphs are given by the image shown at the end of the answer.
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Clear parentheses and combine like terms:
Answer:
\( -40s + 90t + 30 \)
Step-by-step explanation:
Given, \( -10(4s - 9t - 3) \)
To clear parenthesis using the distributive property of multiplication, we have,
\( -10(4s) -10(-9t) -10(-3) \)
Negative sign multiplied by negative sign = positive sign
\( = -40s + 90t + 30 \)
Thus:
\( -10(4s - 9t - 3) = -40s + 90t + 30 \)
If a rectangular cross-section with coordinates at (1, 1), (1, 4), (3, 4) and (3, 1) is rotated about the line y = 1, what will be the resulting three-dimensional object? cone cylinder sphere pyramid
Answer:
Step-by-step explanation:
Comment
The first thing you ought to notice is that the original shape is a rectangle, with 2 of the y coordinates of the 4 points of 1. What that statement means is that two of the points (1,1) and (3,1) both sit on the line y = 1. they don't move. The other two points do move and they form a circular shape. So what you are going to get is a cylinder.
Answer: cylinder
Answer: 345
Step-by-step explanation: the alls
(5 x 10^2)^−2
i dont get it
Answer:-250,000
Step-by-step explanation:
Find the missing values in the ratio table.
Maximum Revenue when a wholesaler sold a product at $40 per unit, sales were 250 units per week. After a price increase of $5, however, the average number of units sold dropped to 225 per week. Assuming that the demand function is linear what price per unit will yield a maximum total revenue? $
A price of $75 per unit will yield maximum total revenue for the wholesaler.
To find the price that will yield maximum total revenue, we need to use the concept of elasticity of demand.
Elasticity of demand measures the responsiveness of the quantity demanded to a change in price.
The formula for the price elasticity of demand is:
E = (percent change in quantity demanded) / (percent change in price)
If E is greater than 1, demand is considered elastic, meaning that a change in price will result in a more than proportional change in quantity demanded.
If E is less than 1, demand is considered inelastic, meaning that a change in price will result in a less than proportional change in quantity demanded.
If E is equal to 1, demand is unit elastic, meaning that a change in price will result in a proportional change in quantity demanded.
We know that before the price increase, the wholesaler was selling 250 units per week at a price of $40 per unit.
After the price increase, the wholesaler was selling 225 units per week at a price of $45 per unit.
Using these values, we can calculate the price elasticity of demand as follows:
E = ((225 - 250) / 250) / ((45 - 40) / 40) = -0.5
The negative sign indicates that the relationship between price and quantity demanded is inverse.
Also, we see that the absolute value of E is less than 1, indicating that demand is inelastic.
This means that a price increase results in a less than proportional decrease in quantity demanded.
Now, to find the price that will yield maximum total revenue, we can use the following formula:
P* = E / (E - 1) * C
Where P* is the price that will yield maximum total revenue, E is the price elasticity of demand, and C is the current price that the wholesaler is charging.
Plugging in the values we know, we get:
P* = (-0.5) / (-0.5 - 1) * 45 = $75.
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Kaitlin,Tony y David tienen un total de 77 en sus bolsillos. Tony tiene $7 menos que Kaitlin. David tiene 2 veces lo que Kaitlin tine¿cuanto dinero tiene cada uno?
Answer: Tony has 70
kaitlin has 77 david has 79
Step-by-step explanation:
i hope this helped im not sure if this is right i tried to do the math but pls leave a thanks if helped
Can someone help me fill in the chart
Brainiest answer to whoever helps
Answer:
9 for each row
Step-by-step explanation:
Answer:
I think that :
A and B : 464
C and D : 132
Step-by-step explanation:
For A and B
Surface area = (2(5+4)*8) + ( 2( 5*4*8)) = 464
For C and D
Surface area = (2(3+2)*6) + ( 2( 3*2*6)) = 132
I hope that is useful for you
testing for significance, what is the t observed value for the slope? (use sb1=.1713)
To calculate the t observed value for the slope, we would need additional information such as the sample size, the standard error of the slope estimate (seb1), and the degrees of freedom (df).
The t observed value can be calculated using the formula:
t_observed = sb1 / seb1
Where:
sb1 is the estimated standard deviation of the slope (given as 0.1713)
seb1 is the standard error of the slope estimate, which depends on the sample size and other factors
df represents the degrees of freedom, which also depends on the sample size and the number of predictors in the regression model
Without the specific values of seb1 and df, it is not possible to calculate the t observed value for the slope.
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HELP PLS ASAP! giving 25 points a) Show that the points (5,4) and (4,5) are the same distance from the origin. The distance from the point (5,4) to the origin is: The distance from the point (4,5) is: b) Show that the points (a,b) to the origin is: The distance from the point (b,a) to the origin is: thanks!!
Answer:
(5, 4) to origin is √41(4, 5) to origin is √41√(a^2 +b^2) = √(b^2 +a^2)Step-by-step explanation:
(b) The distance of point (a, b) from the origin is ...
d = √(a^2 +b^2)
The distance of point (b, a) from the origin is ...
d = √(b^2 +a^2)
The commutative property of addition says these expressions have identical values:
√(a^2 +b^2) = √(b^2 +a^2)
__
(a) The distance of interest is ...
d = √(5^2 +4^2) = √(25+16) = √41
It is the same for (4, 5) and (5, 4) as shown above.
__
Note that a^2 = (-a)^2, so that any of the points ...
(a, b), (b, a), (-a, b), (b, -a), (a, -b), (-b, a), (-a, -b), (-b, -a)
will all have the same distance from the origin.
consider the figure shown on the graph.Which equation represents the line of reflection that maps ABC onto EDF?
Let's begin by listing out the information given:
A (-1, 0); B (-3, 0); C (-1, 3)
E (2, -3); D (2, -5); F (5, -3)
A = E; B = D; C = F
A (-1, 0) = E (2, -3) = (2--1, -3-0) = (3, -3)
B (-3, 0) = D (2, -5) = (2--3, -5-0) = (5, -5)
C (-1, 3) = F (5, -3) = (5--1, -3-3) = (6, -6)
We observe that x = -y or y = -x
\(y=-x\)What calculator is used for pre-calculus?
A scientific calculator is typically used for pre-calculus.
This type of calculator is designed to handle more advanced mathematical functions, such as trigonometry, logarithms, and exponents, which are commonly used in pre-calculus.
It is important to have a scientific calculator for pre-calculus because it allows you to easily solve more complex equations and perform calculations quickly and accurately.
Additionally, many scientific calculators have graphing capabilities, which can be useful for visualizing equations and understanding how they behave. Overall, a scientific calculator is an essential tool for pre-calculus and can help you succeed in the course.
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Find the 20th term of the following sequence. -6, -4, -2, 0
Answer:
32.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 = -6 and common difference 2.
an = a1 + d(n - 1)
a20 = -6 + 2(20-1) = 32
what are the group (model) degrees of freedom associated with the f-test for evaluating these hypotheses?
The hypotheses are:
Null hypothesis: the average test scores are the same for the different teaching methods.
Alternative hypothesis: the average test scores are different for the different teaching methods.
To determine the degree of freedom for the F test: we must find two sources of variation such that we have two variances. The two sources of variation are: Factor (between groups) and the error (within groups) and add this up. Or use (N - 1). N is number in sample.
Hence we get the required answer.
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Teresa earns $6.25 per hour. calculate her wage for the week if she works 24 hours
Answer:
$1050
Step-by-step explanation:
6.25 x 24 = 150
150 x 7 = 1050
Answer: The answer is $1050
Step-by-step explanation: You why? Because 6.25 x 24 = 150 150 x 7 = 1050 so it's $1050
A new cylindrical can with a diameter of 4 cm is being designed by a local company The surface area of the can is 130 square centimeters What is the height of the can? Estimate using 3 14 for x and
round to the nearest hundredth Apply the formula for surface area of a cylinder SA-28+ Ph
The height of the can is approximately 9.74 centimeter.
Define surface area of cylinderThe surface area of a cylinder is the total area of the curved and flat surfaces that make up the cylinder. It can be calculated using the formula:
SA = 2πr² + 2πrh
where r is the radius of the cylinder and h is its height.
In this case, we are given that the diameter of the can is 4 cm, which means the radius is 2 cm.
We are also given that the surface area is 130 square centimeters. Substituting these values into the formula, we get:
130 = 2π(2)² + 2π(2)h
Simplifying this equation, we get:
130 = 8π + 4πh
Subtracting 8π from both sides, we get:
122 = 4πh
Dividing both sides by 4π, we get:
h = 122/(4π) ≈ 9.74 cm (rounded to the nearest hundredth using 3.14 for π)
Therefore, the height of the can is approximately 9.74 cm.
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