If Kellie walks 10 1/2 miles in 3 1/2 hours then she walks 0.05 miles per minute
To find out how many miles per minute Kellie walks, we can divide the total distance she walked by the total time she spent walking, and then divide that by the number of minutes in an hour. First, we need to convert the mixed numbers of miles and time to improper fractions to make it easier to divide.
10 1/2 miles can be written as
(10 x 2 + 1)/2
= 21/2 miles.
3 1/2 hours can be written as
(3 x 2 + 1)/2
= 7/2 hours.
Now, we can divide the total distance by the total time:
21/2 miles ÷ 7/2 hours
= 3 miles per hour
Finally, we need to convert miles per hour to miles per minute by dividing by 60:
3 miles per hour ÷ 60
= 0.05 miles per minute
Therefore, Kellie walks at a rate of 0.05 miles per minute
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How many 2/3's are in 1?
Answer:
1/2 (1 and a half)
Step-by-step explanation:
We get this because 2/3 are half of a whole. If we take half of 2/3 and multiply it by 2 we get a whole number. In this case it is 1.
****WHO ANSWER WILL BE THE BRAINLIEST****
In circle D, which is a tangent to the circle? *
FE
AB
DC
GBE
Answer:
AB
Step-by-step explanation:
A tangent is a line that touches a circle but never goes through it. Wherever the the tangent touches is called the point of tangency and creates a perpendicular bisector (90° angle).
Answer:
AB
Step-by-step explanation:
A tangent to a circle is a straight line that touches the circle at only one point.
Loan ComparisonLoan 1 Loan 2Principal $5000.00 $5000.00Interest4%4%RateMonthly $148.00 $113.00PaymentHow much moneywill a borrowerusing Loan 1 pay ininterest over thelife of the loan?Duration 36 months 48 monthsB. $328.00A. $424.00D. $592.00C. $452.00
Step-by-step explanation:
The loan borrowed = $5000.00 at 4% interest rate
Monthly payment for the loan = $148 for 36 months
The total amount paid after 36 months = $148 x 36
Total amount =
Sketch the families of level curves of u and v for the following func- tions f = u + iv. (a) f(z) = 1/2, (b) f(z) = 1/22, (c) f(z) = 20. Determine where f(z) is conformal and where it is not conformal. 2. Sketch the families of level curves of u and v for f(2) = Log z = utiv. Relate your sketch to one of the figures in this section. 3. Sketch the families of level curves of u and v for the functions f = u+iv given by (a) f(z) = e?, (b) f(z) = eaz, where a is complex. Determine where f(z) is conformal and where it is not conformal.
The function is conformal everywhere except at infinity since e^(az) is an entire function.
1. For the functions f(z) = u + iv:
(a) f(z) = 1/2: Since the function is a constant, there are no level curves. It is not conformal since it doesn't preserve angles.
(b) f(z) = 1/22: Similarly, this function is a constant, and there are no level curves. It is not conformal.
(c) f(z) = 20: As another constant function, there are no level curves. It is not conformal.
2. For f(2) = Log z = u + iv:
The level curves of u (real part) are concentric circles centered at the origin, while the level curves of v (imaginary part) are radial lines emanating from the origin. This sketch corresponds to a complex logarithm function and is conformal everywhere except at the origin, where it is undefined.
3. For the functions f(z) = u + iv:
(a) f(z) = e^z: The level curves of u and v are orthogonal (intersect at right angles) and create a grid pattern. The function is conformal everywhere except at infinity, as e^z is an entire function.
(b) f(z) = e^(az), where a is complex: The level curves of u and v create a grid pattern, which is rotated and scaled according to the value of a. The function is conformal everywhere except at infinity since e^(az) is an entire function.
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3dollars and 50 cents multiply by 5 Which of these sentences could be used to find the cost, in dollars, of 5 chocolate‑dipped ice creams?
The sentence would be "Multiplying 3 dollars and 50 cents by 5 gives the total cost of 5 chocolate-dipped ice creams."
What is multiplication?
Multiplication is a basic arithmetic operation that involves combining two or more numbers to create a product. It is the process of repeatedly adding a number to itself a certain number of times. For example, 3 times 4 can be thought of as adding 3 to itself 4 times, which results in product 12.
To find the cost, in dollars, of 5 chocolate-dipped ice creams if each costs 3 dollars and 50 cents, we can use the following sentence:
"Multiplying 3 dollars and 50 cents by 5 gives the total cost of 5 chocolate-dipped ice creams."
Hence, the sentence would be "Multiplying 3 dollars and 50 cents by 5 gives the total cost of 5 chocolate-dipped ice creams."
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In a large population, 64 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated
In a large population, 64 % of the people have been vaccinated. If 5 people are randomly selected, then the probability that AT LEAST ONE of them has been vaccinated is 99.78% or 0.9978.
The probability that at least one person is vaccinated among a sample of five people selected randomly from a population in which 64% have been vaccinated is the complement of the probability that none of the five selected have been vaccinated. The probability of at least one vaccinated person is:
Probability of at least one vaccinated person = 1 - Probability that none of the selected have been vaccinated.
To find this probability, you first need to find the probability that none of the five selected have been vaccinated.
Probability of selecting one person who is not vaccinated = 1 - 0.64 = 0.36
Probability of selecting five persons who are not vaccinated = 0.36 × 0.36 × 0.36 × 0.36 × 0.36= 0.0022
So, the probability of at least one vaccinated person in the sample of five is:
Probability of at least one vaccinated person = 1 - Probability that none of the selected have been vaccinated
= 1 - 0.0022
= 0.9978
Therefore, the probability that at least one person is vaccinated among a sample of five people selected randomly from a population in which 64% have been vaccinated is 0.9978.
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Which pair of numbers has a great common factor of 7
A. 45 and 90
B. 35 and 70
C. 14 and 28
D. 1 and 7
Answer:
B
Step-by-step explanation:
Find the slope of the line passing through each of the following pairs of points.
(0, −8), (0, 4)
Answer:
Undefined.
Step-by-step explanation:
\(m=\frac{rise}{run}=\frac{4+8}{0-0}=\frac{12}{0}= undefined\)
The slope is undefined.
Hope this helps.
Answer:
Undefined( If this is wrong then it is zero)
Step-by-step explanation:
The formula for this problem is y2 - y1/x2-x1. You can name any of those points 1 or 2 as long as they have the right coordinate.
4 - (-8)/0 - 0= 12/0 = Undefined
Given z1 = 9+9 (square root) 3i and z2 = 2+ (square root) 3i, what is z2-z1?
a) 8+7 (square root) 3i
b) -7-8 (square root) 3i
c) 7+10 (square root) 3i
d) -7+10 (square root) 3i
Answer:
B
Step-by-step explanation:
Answer:
Answer is B
Step-by-step explanation:
took the test edg2021
Solve each exponential growth/decay word problem
A savings account balance is compounded
annually. If the interest rate is 2% per
year and the current balance is $1,557.00,
what will the balance be 5 years from
now?
Answer:
$1.720.34
Step-by-step explanation:
to do this problem we can use the exponential growth formula A=p(1+r)^t
substituting our values we get
A = 1,557.00(1+0.02)^5
after solving the equation for A we get that
A after 5 years will be $1,720.34
Aaron has 47 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 266 square meters. List each set of possible dimensions (length and width) of the field.
The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).
Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.
The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.
Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:
Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,
we have:Length of the field, l = 11 m
Width of the field, w = 12 m
Area of the field = l × w = 11 × 12 = 132 sq. m
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Due today Help ASAP thanks if you help
The area of the circle is 30.2 square feet. Then the correct option is B.
Given that:
Diameter, d = 6.2 feet
Let r be the radius of the circle. Then the area of the circle will be given as,
A = πr² square units
The radius of the circle is given as,
r = d / 2
r = 6.2 / 2
r = 3.1 feet
The area of the circle is calculated as,
A = 3.14 x (3.1)²
A = 3.14 x 9.61
A = 30.1754
A ≈ 30.2 square feet
Thus, the correct option is B.
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The results from a research study in psychology are shown in the accompanying table. Create a spreadsheet to approximate the total number of extra points earned on the exam using Simpson's rule. Number of hours of study, x 1 2 3 4 5 6 7 8 9 10 11 Rate of extra points 4 8 14 11 12 16 22 20 22 24 26 earned on exam, f(x) OCIED The total number of extra points earned is approximately (Type an integer or a decimal.
The total number of extra points earned is approximately 214 using Simpson's Rule.
Simpson's rule is a technique of numerical integration that approximates the value of a definite integral of a function by using quadratic functions. Here, you are supposed to create a spreadsheet to estimate the total number of extra points earned on the exam using Simpson's rule.Here is the table provided:
Number of hours of study, x1 2 3 4 5 6 7 8 9 10 11
Rate of extra points 4 8 14 11 12 16 22 20 22 24 26 earned on exam, f(x) OCIED
We first calculate h and represent it as follows:
h = (b-a)/nwhere b = 11, a = 1, and n = 10.
Therefore, h = (11-1)/10 = 1.
Substituting the values into the Simpson's Rule formula, we have:
∫ba{f(a) + 4f(a+h) + 2f(a+2h) + 4f(a+3h) + ... + 2f(b-h) + 4f(b-2h) + f(b)} / 3n
We have 10 intervals. Thus we have:
∫1111 {4 + 4(8) + 2(14) + 4(11) + 2(12) + 4(16) + 2(22) + 4(20) + 2(22) + 4(24) + 26} / 30≈ 214.0
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-14
-26
-5
-20
What number is the least?? I NEEED THIS ASAP PLSSS HELP
Answer:
-26!!!!
Step-by-step explanation:
plz give me brainliest!!!
If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent. True or False?
The statement "If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent" is true.
Let's understand why?
Explanation:
An argument with a tautology conclusion is an argument that arrives at a conclusion that is always true, regardless of the truth values of the premises. In other words, it is impossible for the premises to be true while the conclusion is false.
This means that any attempt to find a counterexample that disproves the conclusion will always fail, as there is no possible scenario in which the conclusion is false.
The counterexample set of an argument is the set of all possible scenarios in which the premises are true but the conclusion is false. If the conclusion is a tautology, then there is no possible scenario in which the conclusion is false, and thus the counterexample set is empty. An empty counterexample set is equivalent to an inconsistent counterexample set, as it means that there is no consistent scenario in which the conclusion is false.
Therefore, if the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent.
Hence, the statement is true.
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the height of a box is 10 inches. the length is three inches more than the width. find the width if the volume is 540 cubic inches.
Let us designate the box's width as x inches. According to the information provided, the length is three inches longer than the width, hence the length is (x + 3) inches. The height is specified as ten inches.
We multiply the length, width, and height of the box to determine its volume. So far, we have:
540 = (x + 3) x 10 Volume = Length Width Height
Extending this equation yields:
540 = 10x^2 + 30x
The equation is now rearranged to become a quadratic equation:
10x^2 + 30x - 540 = 0
This equation may be simplified by dividing all of the terms by ten:
x^2 + 3x - 54 = 0
We may get the potential values for x by factoring or using the quadratic formula. Because width cannot be negative, we eliminate -9, leaving us with the box's width of 6 inches.
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Simplify the expression below 6 - 8x + 3
Answer:The given expression is 6 - 8x + 3.
Combining like terms, we have:
6 - 8x + 3 = 9 - 8x
Therefore, the simplified expression is 9 - 8x.
Step-by-step explanation:
THANKS
a rectangular prism is 5 meters long, 17 meters wide, and 4 meters high. what is the surface area of the rectangular prism?
The surface area of rectangular prism is 346 square meters.
Given the figure is rectangular prism.
We know that the surface area of rectangular prism with length L, width W and height H is = 2(LW+WH+LH)
Given that the length of prism = 5 m
Width of prism = 17 m
Height of prism = 4 m
So the total surface area of the rectangular prism is given by,
= 2 [5*17 + 17*4 + 4*5]
= 2 [85 + 68 + 20]
= 2*173
= 346 square meters
Hence the surface area of rectangular prism is 346 square meters.
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!!Please Help Asap!!Besides being a fraction, what is another way to describe the meaning of 35/11?
Answer:
Well if you are saying another way to write 35/11 that would be in a decimal which is 3.18182
a recipe for chocolate chip cookies cost for a 3 and 1/4 cups of flour you are making 2 and 1/2 recipes how many cups of flours are needed simplify your answer type of a whole number fraction or mixed number the number of cups of flour needed to make 2 1/2 recipes with chocolate chip cookies
Answer:
8 1/8
Step-by-step explanation:
3 1/4 cups per recipe
3 1/4=3.25
2 1/2= 2.5
2.5*3.25
8.125=65/8= 8 1/8
The function C(x)=10x+3,000 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $30?
Answer: More than 150 items
Step-by-step explanation: I just did this section on Knewton Alta, hope this helps!
Your hospital has just reset the safety stock level for sleeping pills to be 220 pills.
If your hospital consumes an average of 1,155 per day with a standard deviation of 81 pills, what is the chance that your hospital will run out of sleeping pills on any day? (Keep four decimal places in your answer, which should be a number not a percentage)
The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).
To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.
First, let's calculate the Z-score using the formula:
Z = (X - μ) / σ
Where:
X = consumption rate per day (1,155 pills)
μ = average consumption rate per day (1,155 pills)
σ = standard deviation (81 pills)
Z = (1,155 - 1,155) / 81
Z = 0
Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.
We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.
To find the probability of running out of sleeping pills, we subtract this probability from 1:
Probability of running out of sleeping pills = 1 - 0.5000
Probability of running out of sleeping pills = 0.5000
Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.
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please help with this percentage reduction question - quite easy
Answer: The percentage reduction is 93%.
Step-by-step explanation: % Decrease = Decrease ÷ Original Number × 100
Divde 11,625 by 12,500 and multiply the answer by 100.
11,625 ÷ 12,500 × 100 = 93
The percentage reduction is 93%.
Answer:
7%
Step-by-step explanation:
Original price = 12500
Reduced price = 11625
Percentage reduction = Original value - New value / Original value × 100
12500 - 11625 / 12500 × 100
875/12500 × 100
7
7%
the marching band walks 1/15mi in 1.5 min, At this rate, how many minutes will it take to complete 1 mile? show your work?
It takes 22.5 min to complete 1 mile
How many minutes will it take to complete 1 mileFrom the question, we have the following parameters that can be used in our computation:
Rate = 1/15mi in 1.5 min
using the above as a guide, we have the following:
Rate = 1/15mi per 1.5 min
Take the inverse
So, we have
Inverse rate = 1.5 min per 1/15mi
Evaluate the quotient
So, we have
Inverse rate = 22.5 min per mile
Hence, it takes 22.5 min to complete 1 mile
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What is : -4x + 3 = -11
Answer:
3.5
Step-by-step explanation:
-11-3, then that divided by -4.
Solve for roots of X^3+216
Answer:
6
Step-by-step explanation:
x³=216
cube root =6
++£-#!(#
Solve the following system of equations
Y= -2x – 3
4y + x =16
Answer:
(-4,5)
*View attached graph*
Step-by-step explanation:
y = -2x - 3
4y + x = 16
4y + x = 16
4(-2x - 3) + x = 16
-8x - 12 + x = 16
-7x - 12 = 16
+12 + 12
-7x = 28
/-7 /-7
x = -4
4y + x = 16
4y + (-4) = 16
4y - 4 = 16
+ 4 + 4
4y = 20
/4 /4
y = 5
(x,y) -> (-4,5)
Hope this helps!
Assume that you graph lines f and g on the same coordinate plane and they intersect at point (4, 5). Which of the following statements is NOT true.
1. (4,5) is on both lines
2. if you plug 4 in for x and 5 in for y in each equation you will get true statements form both equations
3. (4,5) is the solution to the linear system
4. other points that are on line f will also be solutions to the linear system
5. None. all statements are true.
Other points that are on line f will also be solutions to the linear system. Therefore, option 4 is the correct answer.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, graph lines f and g on the same coordinate plane and they intersect at point (4, 5).
When two lines intersect at (4, 5), then the point is the solution of system of linear equations.
When substitute x=4 and y=5 in the system of equations, both the equations will be true.
Therefore, option 4 is the correct answer.
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Part A Write the multiplication expression shown by the model. Do not solve the problem.
Explain the expression written in Part B. Include the final product and how it is shown with the model.
The multiplication model represented by the image is given as follows:
12(4 x 10) + (3 x 10) + (6 x 10) + 18.
What is a multiplication operation?A multiplication operation is equivalent to consecutive additions.
For the green squares, the following addition is obtained:
10 + 10 + 10 + 10 + 6.
(which is the number of squares painted green).
Considering a multiplication with consecutive additions, it is written as follows:
4 x 10 + 6.
For the red squares, the expression is:
4 + 4 x 10 + 2 = 4 x 10 + 6.
For the blue squares, the expression is:
8 + 3 x 10 + 8
3 x 10 + 16
For the white squares, the expression is:
2 + 6 x 10
Hence the total model is calculated as follows:
4 x 10 + 6 + 4 x 10 + 6 + 3 x 10 + 16 + 2 + 6 x 10
(4 x 10)(6 + 6) + (3 x 10) + (6 x 10) + 18.
12(4 x 10) + (3 x 10) + (6 x 10) + 18.
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BRAINLYEST
Answer:
:)
Step-by-step explanation:
i think it's MODE 21........