Answer:
B
Step-by-step explanation:
if half of the trail mix is split in to 4, let's say the same for the other half. then there will be 8 bags.
when a number was divide by 12 the quotient was 52 and the reminder was 5 what was the bumby
Answer:
Let n be that integer
Step-by-step explanation:
n=(12)(52)+5=629
Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth when necessary. $4081 grows to $8404.54 in 21 years 3.5% o 3% o 6.5% 6%
The interest rate that can explain how $4081 grew to $8404.54 in 21 years with annual compounding is option (a) 3.5%, rounded to the nearest tenth.
The interest rate and the compounding frequency determine the growth of the initial amount over time. In this problem, we need to find the interest rate that can explain how an initial amount grew to a specific amount over a certain number of years.
The problem asks us to find the interest rate that can explain how an initial amount of $4081 grew to $8404.54 in 21 years with annual compounding. We can use the formula for compound interest to solve this problem:
\(A = P(1 + r/n)^{nt}\)
where A is the future value of the investment, P is the initial amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
In this case, we know that P = $4081, A = $8404.54, n = 1 (annual compounding), and t = 21. We need to find the value of r that makes the equation true.
We can rearrange the formula to solve for r:
\(r = n[(A/P)^{1/nt} - 1]\)
Substituting the known values, we get:
\(r = 1[(8404.54/4081)^{1/(1*21)} - 1]\)
r = 0.0353 or 3.53%
This means that if the initial amount was invested with an annual interest rate of 3.5%, it would have grown to the given future value after 21 years.
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A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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programing problem :
Scenario: The county tax office calculates the annual taxes on property using the following formula:
Property tax = property value × 0.0065
Every day, a clerk in the tax office gets a list of properties and must calculate the tax for each property on the
list. You have been asked to design a program that the clerk can use to perform these calculations.
In your interview with the tax clerk, you learn that each property is assigned a lot number, and all lot numbers
are 1 or greater. You decide to write a loop (while) that uses the number 0 as a sentinel value. During each
loop iteration, the program will ask the clerk to enter either a property’s lot number, or 0 to end.
The program to illustrate the information will be:
This function gets the value of the property from the user,
# calculates the tax, then displays the value of the tax
def show_tax():
# getting the value of the property from the user
property_value = float(input("Enter the property value: "))
# calculating the tax
property_tax = property_value * 0.0065
# displaying the value of the tax
print("Property tax: $ {0:.2f}".format(property_tax))
How to illustrate the information?This program will receive the lot number from the user, while the lot number does not equal 0, then it gets the value of the property from the user, calculates the tax, then displays the value of the tax
The main() function will receive the lot number from the user,
# while the lot number does not equal 0,
# call the show_tax() function then ask for the next lot number.
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brainiest to whoever right
The difference between the largest and smallest number in a given set of data
A) Mean
B) Median
C) Mode
D) Range
I'll give brainliestttt
Can someone help me with both I will mark u brilliant
Answer: 22
Step-by-step explanation:
Add everything together (264) and divide by 12 the amount of numbers there are to find the mean or the average
Answer:
for the first question
the mean is 22
Mean is the sum of the values divided by the number of values
Step-by-step explanation:
for the second one
the median is 21
in the set of data you will get two numbers on the middle 20 and 21, add them and divide by 2 like this: 20 + 22 / 2 = 21
What is the equation of the line that passes through the point
(
6
,
2
)
(6,2) and has a slope of
−
1
2
−
2
1
?
The equation of the line that passes through the point (-6, 2) and has slope of -1/2 is y = (-1/2)x - 1
The slope of the line = -1/2
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line
The slope intercept form
y = mx + b
Where m is the slope of the line
b is the y intercept form
The coordinates of the point = (-6, 2)
Substitute the values in the equation
2 = (-1/2)(-6) + b
2 = 3 +b
b = 2 -3
b = -1
The equation will be
y = (-1/2)x - 1
Hence, the equation of the line that passes through the point (-6, 2) and has slope of -1/2 is y = (-1/2)x - 1
The complete question is :
What is the equation of a line that passes through (-6, 2) and has a slope of -1/2 ?
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Write a polynomial function in factored form of least that the given zeros and a leading coefficient of 1.
1. -6, 3, 5
2. 2, -2, -6i
Write a polynomial function in standard form of least degree that have real coefficients, the given zeros, and a leading coefficient of 1.
3. -1, 1, 7
4. 3, -3, -2i
9514 1404 393
Answer:
p(x) = (x+6)(x-3)(x-5)p(x) = (x-2)(x+2)(x^2 +36)p(x) = x^3 -7x^2 -x +7p(x) = x^4 -5x^2 -36Step-by-step explanation:
Each root r gives rise to a binomial factor (x-r). Each complex root also has a conjugate root, so roots ±ri give rise to a binomial factor (x^2 +r^2).
__
1. p(x) = (x -(-6))(x -3)(x -5)
p(x) = (x+6)(x-3)(x-5)
__
2. p(x) = (x -2)(x -(-2))(x^2 +6^2)
p(x) = (x -2)(x +2)(x^2 +36)
__
If you want standard form, you can start with factored form, then multiply it out.
3. p(x) = (x -1)(x +1)(x -7) = (x^2 -1)(x -7) = (x^2 -1)x +(x^2 -1)(-7)
p(x) = x^3 -7x^2 -x +7
__
4. p(x) = (x -3)(x +3)(x^2 +2^2) = (x^2 -9)(x^2 +4)
p(x) = x^4 -5x^2 -36
Toby is buying apples. Red delicious apples, x, cost $2 per pound. Braeburn apples, y, cost $3 per pound. He wants to buy at least 10 pounds of apples, but spend no more than $24. Which graph represents this situation?
Answer:
I graphed all of the equations on the graph below.
Step-by-step explanation:
At the point (6,4), the equation \(x+y\ge10\) uses 6 + 4 ≥ 10. Also, the equation \(2x+3y\le24\) uses 2(6) + 3(4) ≤ 24.
If this answer is correct, please make me Brainliest!
Answer:
its A !!
Step-by-step explanation:
What is the angle θ in the triangle below?
Answer:
θ = 64.98310506 degrees (65 degrees rounded to unit)
Step-by-step explanation:
4.2 * tanθ = 9
4.2 * tanθ/ 4.2 = 9/4.2
tanθ = 2.142857
θ = arctan 2.142857
θ = 64.98310506
Step-by-step explanation:
using the SOH CAH TOA Rule,
tan 0=opp÷adj
tan 0=9÷4.2
tan 0=2.14
0=tan inverse of 2.14
Please help! Which of the following is NOT a true statement about the dilation shown at the right?
Answer:
the statement 'the dilation changed the orientation of the figure' is NOT true
Step-by-step explanation:
the only transformations that can change a figure's orientation is a reflection, not a dilation like is shown.
the first statement is true because it is an enlargement of the shape
the third is true (look at point I and I', point I is (2,2) and becomes (4,4) which follows 2x 2y)
and the fourth is true because the ratios are 1:1:1:1 for both shapes
Help me pleaseeeeeeeeeeeeeeeeee
Answer:
2 1/3
Step-by-step explanation:
7/12 + 7/12 + 7/12 + 7/12
Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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what does 1 1/8 X 1/9 =
Answer: 11/8 * 1/9 = 11/72
Step-by-step explanation:
Btw, * means multiply
It equals 11/72 because if you multiply the numerator 11*1, it equals 11. If you multiply the denominator, 8*9, it equals 72. So it equals 11/72, and it cannot be simplified. Hope this helps! :3
what is the inequality of this and step by step explanation please
The inequality graphed on the number line can be written as:
-3 ≤ x < 2
How to identify the inequality?Here we can see an inequality graphed on a number line, we can see that we start with a closed circle at x = -3
A closed circle means that x = -3 is a solution.
And we can see that it ends with an open circle at x = 2, the open circle means that the point is not a solution.
Then the inequality thati is shown in the number line is written as:
-3 ≤ x < 2
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George Can complete a project in 75 minutes,and if George and Walter both work on the project, they can complete it in 45 minutes. how long will it take Walter to complete the project by himself?
Answer:
It will take Walter 112.5 minutes to complete the project by himself
Step-by-step explanation:
The together rate is the sum of each separate rate.
In this problem:
Together rate: 1/45
George's rate: 1/75
Walter's rate: 1/x
How long will it take Walter to complete the project by himself?
This is x. So
\(\frac{1}{75} + \frac{1}{x} = \frac{1}{45}\)
\(\frac{x + 75}{75x} = \frac{1}{45}\)
\(75x = 45(x + 75)\)
\(75x = 45x + 45*75\)
\(30x = 45*75\)
\(x = \frac{45*75}{30}\)
\(x = 112.5\)
It will take Walter 112.5 minutes to complete the project by himself
Given negative 7.3 divided by one half, find the quotient.
−14.6
1.825
−3.65
14.6
The value of the quotient expression given as negative 7.3 divided by one half is -14.6
How to determine the quotient?The quotient expression is given as:
negative 7.3 divided by one half
Rewrite the above expression properly, as follows:
-7.3/0.5
Evaluate the quotient
-14.6
Hence, the value of the quotient expression given as negative 7.3 divided by one half is -14.6
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Answer:
-14.6
Step-by-step explanation:
Treat the one half as a fraction.
Then remember that when you divide by a fraction, you need to multiply by the reciprocal of the fraction, so dividing by half is the same as multiplying by 2. Also, negative times positive is negative.
-7.3 / (1/2) = -7.3 × 2/1 = -7.3 × 2 = -14.6
Find the number of years the annuity will last if it pays 300 per year.
The number of years the annuity will last if it pays $300 per year is 18 years.
What is an annuity?An annuity is an investment that pays the investor a fixed periodic amount for many years in the future.
The annuity payment may be monthly or yearly, as the case may be.
An online finance calculator can compute the annual payment (annuity).
I/Y (Interest per year) = 7%
PV (Present Value) = $3,000
PMT (Periodic Payment) = $-300
FV (Future Value) = $0
Results:
N = 17.795
Sum of all periodic payments = $-5,338.44
Total Interest $2,338.44
Thus, for an annuity with a present value of $3,000, earning 7% per annum and paying $300 per year will last almost 18 years.
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Question Completion:The present value of an annuity is $3,000 and earns 7% per annum.
Find the number of years the annuity will last if it pays $300 per year.
The gasoline tax is a ______ tax
Answer:
Excise tax
Step-by-step explanation:
Correct me if I'm wrong <3
The path of the water in a pond fountain can be modeled by y=-0.1x^2+2.8x , where x and y are measured in feet. The x -axis represents the surface of the pond. Find the width of the path at the surface of the pond and the height of the path.
Width: ___ ft
Height: ___ ft
Answer:
the width of the path at the surface of the pond is 14 feet, and the height of the path above the surface of the pond is 19.6 feet.
Step-by-step explanation:
To find the width of the path at the surface of the pond, we need to find the x-coordinate of the vertex of the parabola y = -0.1x^2 + 2.8x. The x-coordinate of the vertex can be found using the formula:
x = -b/2a
where a = -0.1 and b = 2.8. Substituting these values, we get:
x = -2.8 / 2(-0.1) = 14
So the width of the path at the surface of the pond is 14 feet.
To find the height of the path, we need to find the y-coordinate of the vertex of the parabola y = -0.1x^2 + 2.8x. The y-coordinate of the vertex is given by:
y = f(x) = -0.1(x - h)^2 + k
where (h,k) is the vertex of the parabola. To find the vertex, we can use the formula:
h = -b/2a and k = f(h)
Substituting a = -0.1 and b = 2.8, we get:
h = -2.8 / 2(-0.1) = 14
k = f(14) = -0.1(14)^2 + 2.8(14) = 19.6
So the vertex of the parabola is (14, 19.6), which means the maximum height of the path above the surface of the pond is 19.6 feet.
Therefore, the width of the path at the surface of the pond is 14 feet, and the height of the path above the surface of the pond is 19.6 feet.
Please help, marking brainliest if correct
Answer:
140
Step-by-step explanation:
∠8=140 (alt. ext. ∠)
Answer:
140 degrees
Step-by-step explanation:
<8 is 140 degrees because it is alternate exterior angles with the angle that measures 140
What is 9+(5x10)+1-(15x2)
Step-by-step explanation:
Answer:30. hope this helps
Answer:
30
Step-by-step explanation:
9+(5x10)+1-(15x2)
Multiply the numbers
9+(50)+1-(30)
9+50+1-30
30
If y varies directly as x, and y=6 when x=15, find y when x=2.
A.) 4/5
B.) 4
C.) 5
d.) 5/4
Answer:
Option A: 4/5
Step-by-step explanation:
If y varies directly as x written as y ∝ x, this can be written as an equation:
y = kx where k is a constant
Since y = 6 when x = 15:
6 =k · 15
6 = 15k
15k = 6
k = 6/15 = 2/5
The equation beocmes
y = (2/5) x
Therefore when x = 2,
y = (2/5) x 2 = 4/5
Option A: 4/5
Consider the following figure.
(Note that the figure is not drawn to scale.)
20°
L
47°
89°
Order the side lengths IK, KL, IJ, IL, and LJ from least to greatest.
The side lengths from least to greatest as follows:
IK < KL < IJ < IL < LJ
To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.
Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.
Let's analyze the angles:
Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.
Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.
Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.
Based on these observations, we can order the side lengths from least to greatest as follows:
IK < KL < IJ < IL < LJ
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Use the Law of Sines to set up a proportion and solve for X pt2
Answer:
x = 17.63
Step-by-step explanation:
The missing angle: (180-117-23)° = 40°
\(\frac{x}{sin23^{0} } =\frac{29}{sin40^{0} }\)
\(x=\frac{29sin23^{0} }{sin40^{0} } =\frac{11.331}{0.643} =17.63\)
Hope this helps
You have 660 grams AP apples. What is your EP weight if the yield is 75 percent?
Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 204, with a standard deviation of 42.5 (the units
are milligrams per deciliter). A simple random sample of 112 adults is chosen. Use the TI-84 calculator. Round the answers to four
decimal places. What is the probability that the sample mean cholesterol level is between 192 and 2027
The probability that the sample mean cholesterol level is between 192 and 202 is
The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants? Show work.
Answer: Constant of proportionality is $6 for one pair and cost of dry cleaning 11 pairs of pants is $66.
Answer:
87?
Step-by-step explanation:
2. La forma correcta de representar la suma de -6 con-12 es:
a)-12 +-6= - 6 b) +-12 +-6 = c)-6 (+) 12 =
3. El resultado de aplicar la jerarquía de operación es a la cadena
70.5 x 18 + 120 = 4 es:
a) 10
b) 35
c) 50
4. Un corredor de maratón lleva de la carrera. La distancia a cubrir e
esta competencia es de 42 km, ¡qué distancia lo hace falt
Answer:
a) +-12-6
b) 70.5 * 18 = 1,269 + 120 = 1389 - 4 = 1385
c) 18
Step-by-step explanation: