Answer:
Each miner receive 2.5 ounces of gold dust.
Step-by-step explanation:
15/6= 2.5 ounces
it take 5 hours to bake 12 loaves of bread. How long will it take to bake 15 loaves?
Answer:
= 6.25 hours.
Step-by-step explanation:
If 5 hours = 12 loaves of bread
than ? = 15 loaves of bread.
therefore 15/12 × 5 hours
= 75/12
= 6. 25 hours.
if f is differentiable at a must f be continuous at aa. No. If f is differetiable at a, then f is not continuous at a. The contrapositive of this statement therefore states, if f is continuous at a, then f is not differentiable at a.b. Yes. If f is differentiable at a, then f is continuous at a. the contrapositive of this statement therefore states, if f is continuous at a, then f is differentiable at a.c. No. If f is continuous at a, it is not necessarily true that the limit that defines f' exists at a.d. Yes. if f continuous at a, it is necessarily true that the limit that defines f' exists at a.
The statement "If f is differentiable at a, then f is continuous at a" is true, but "If f is continuous at a, then f is differentiable at a" is false.
Differentiability and continuity are two important concepts in calculus. A function is said to be continuous at a point if the values of the function approach a finite limit as the independent variable approaches the same value. In other words, there are no sudden jumps or breaks in the function at that point.
On the other hand, a function is said to be differentiable at a point if the limit of the rate of change of the function exists as the independent variable approaches the same value. This rate of change is called the derivative of the function and it is used to determine the slope of the function at that point.
So, it is true that if a function is differentiable at a point, then it is also continuous at that point. In other words, a continuous function must be differentiable. However, the reverse is not necessarily true. A function can reach a point where it is continuous but not differentiable. For example, the absolute value function is continuous everywhere but it is not differentiable at x = 0.
Therefore, we can say that if f is differentiable at a, then f is continuous at a. But if f is continuous at a, it does not imply that f is differentiable at a.
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I withdraw £80 from my savings account to go shopping.
• I spend 40% of my money in the bookshop.
• I then spend one third of the money I have left at the supermarket.
• Finally, I spend £8 on stationery.
What fraction of the £80 do I have left?
Give your answer in its simplest form.
The fraction of the £80 that you have left is 3/10.
The FractionLet's start by calculating how much money you spent at the bookshop.
40% of £80 = 0.4 x £80 = £32
So you spent £32 at the bookshop, and you now have:£80 - £32 = £48
Next, you spent one third of the money you had left at the supermarket.One third of £48 = £16
So you spent £16 at the supermarket, and you now have:£48 - £16 = £32
Finally, you spent £8 on stationery, so you now have:£32 - £8 = £24
Therefore, you have £24 left out of the original £80. To find the fraction of the £80 that you have left, we can express this as a fraction:£24 is the same as 24/80 when expressed as a fraction.
This fraction can be simplified by dividing both the numerator and denominator by 8:24/80 = 3/10
So the fraction of the £80 that you have left is 3/10. This is the simplest form.
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Solve the right triangle by completing the table below
The complete table is,
⇒ B = 41°
⇒ a = 9.525
⇒ b = 8.25
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
Now, We have;
Two angles of triangle are,
⇒ A = 49°
⇒ C = 90°
Hence, We can formulate;
⇒ B = 180 - (49 + 90)
⇒ B = 180 - 139
⇒ B = 41°
And, By using Sine rule as;
⇒ sin A / a = sin B / b = sin C / c
Takin two identity as;
⇒ sin A / a = sin C / c
⇒ sin 49° / a = sin 90° / 12.7
⇒ 0.75 / a = 1/12.7
⇒ 0.75 × 12.7 = a
⇒ a = 9.525
⇒ sin B / b = sin C / c
⇒ sin 41° / b = sin 90 / 12.7
⇒ 0.65/b = 1/12.7
⇒ 0.65 × 12.7 = b
⇒ b = 8.25
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The height of a box is 3 inches. The length is three inches more than the width. Find the width if the volume is 264.
The width of the rectangular box is W = 8 inches
What is the Volume of a Rectangle?The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the volume of the rectangular box be V = 264 inches³
Let the height of the rectangular box be H = 3 inches
Let the length of the rectangular box be L
Let the width of the rectangular box be W
Now , L = 3 + W
And , Volume of Rectangle = Length x Width x Height
Substituting the values in the equation , we get
264 = 3 x ( W ) x ( 3 + W )
On simplifying the equation , we get
Divide by 3 on both sides of the equation , we get
3W + W² = 88
Subtracting 88 on both sides of the equation , we get
W² + 3W - 88 = 0 be equation (1)
On factorizing the equation , we get
W² + 11W - 8W - 88 = 0
Taking the common factors of the equation , we get
W ( W + 11 ) - 8 ( W + 11 ) = 0
On further simplification , we get
( W - 8 ) ( W + 11 ) = 0
The width cannot be negative , so
( W - 8 ) = 0
Adding 8 on both sides , we get
W = 8 inches
Hence , the width of the rectangular box is 8 inches
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mark bike shop rents bikes for 8+5 per hour. jermaine paid $33 to rent a bike. how many hours did he rent the bike for
Answer:
He rented the bike for 5 hours.
Step-by-step explanation:
Fixed rate for renting a bike is $8 and rate per hour for renting is $5.
Amount paid by Jermaine is $33.
To find the hourly rent amount that he paid, subtract the fixed rate ($8) from total amount $33.
Rent amount for the bike = 33 - 8
= $ 25
Number of hours rented = 25 ÷ 5
= 5 hours
What is 20% of 350000?
Answer:
Step-by-step explanation:70000
el... The vertices of parallelogram HIJK are H(0, -1), I(2, 3), J(7, -1), K(5, -5). Determine if HIJK is a parallelogram.
The correct option is, No, because HI and JK do NOT have the same slope and HK and IJ have the same slope
What are the properties of parallelogram ?Opposite sides are parallel: The pairs of opposite sides of a parallelogram are always parallel to each other.
Opposite sides are equal in length: The pairs of opposite sides of a parallelogram are equal in length.
Consecutive angles are supplementary: The consecutive angles of a parallelogram are always supplementary, meaning that they add up to 180 degrees.
Diagonals bisect each other: The diagonals of a parallelogram bisect each other, meaning that they intersect at the midpoint of each other.
The sum of the interior angles is 360 degrees: The sum of the interior angles of a parallelogram is 360 degrees.
No, because HI and JK do NOT have the same slope and HK and IJ have the same slope.
In order for a quadrilateral to be a parallelogram, opposite sides must be parallel, which means they have the same slope.
In this case, HI and JK do not have the same slope, and therefore, the opposite sides are not parallel.
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The complete question:
The vertices of parallelogram HUJK are H(0,-1),(2,3), J(7, -1),K(5,-5). Determine if HIJK is a parallelogram.
No, because HI and JK do NOT have the same slope and HK and IJ have the same slope
Yes, because HI and JK have the same slope and HK and IJ have the same slope
Yes, because the image is tilted
No, because HK and JI have the same slope, but HI and JK do NOT have the same slope
Chang 0.7 to fraction with workings
Answer:
7/10
Step-by-step explanation:
all number converted to decimals are X/1. X is any number.
0.7 is equal to 0.7/1
now fractions cannot contain a decimal number so we can times is by 10 to get 7/10.
Answer: 0.7, I think you multiply, algebraic answer ig
Step-by-step explanation:
What is 128 lbs to kg ?
128 pounds is equal to 58.059 kilograms.
To convert pounds (lbs) to kilograms (kg), you can use the conversion factor that 1 pound is equal to 0.45359237 kilograms.
To convert 128 pounds to kilograms, you can multiply 128 by the conversion factor:
= 128 lbs x 0.45359237 kg/lb
≈ 58.059 kilograms
Therefore, 128 pounds is equal to 58.059 kilograms.
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What is the value of c?
Answer:
26.6°
Step-by-step explanation:
What is an angle?An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, making the sides of the angle.
What types of angles are there?There are right angles (exactly 90 degrees), acute angles (less than 90 degrees), obtuse angles (more than 90 degrees), and reflex angles (more than 180 degrees).
If we know that the angle shown is a right angle, we also know that a right angle is equal to 90°. To solve for the value of c, we can use this equation:
90 - 63.4 = 26.6Therefore, the value of c is 26.6°.
What is the formula for AFC?
The formula for Average Fixed Cost (AFC) is: AFC = FC / Q. Where FC represents the total fixed costs incurred by a firm and Q represents the quantity of output produced by the firm.
AFC is a per-unit measure of the fixed cost of production, and represents the amount of fixed cost that is attributed to each unit of output. As the quantity of output increases, the AFC decreases, since the fixed costs are spread out over a larger number of units. AFC is an important concept in economics and business, as it is used to calculate other cost measures such as average total cost and average variable cost.
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How do I convert a string to an int in Matlab?.
In MATLAB, you can convert a string to an integer using the str2double() or str2num() function. Both functions convert a string to a double-precision floating-point number, but str2num() also supports the conversion of strings to other numeric data types.
Here's an example of how to convert a string to an integer using str2double():
str = '123'; % string to convert to integer
num = str2double(str); % convert the string to a double-precision number
int = int32(num); % convert the double-precision number to a 32-bit integer
In this example, the str variable contains the string '123', which we want to convert to an integer. We first use the str2double() function to convert the string to a double-precision number, which we then convert to a 32-bit integer using the int32() function.
Alternatively, you can use the str2num() function to convert the string directly to an integer:
str = '123'; % string to convert to integer
int = int32(str2num(str)); % convert the string to a 32-bit integer
In this example, we use the str2num() function to convert the string directly to a 32-bit integer, and then assign the result to the int variable.
It is important to note that if the string cannot be converted to a number, both functions will return NaN (Not a Number). Additionally, if the string represents a number that is too large to be represented by an integer, the result will be rounded or truncated.
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ΔLMN ≅ ΔRST, ∠L = 49º, ∠M = 10x, ∠S = 70º, and ∠T = 4y + 9.
The value of x and y in the given congruent triangles, are 7 and 13
What are congruent triangles?The triangles which share congruent corresponding angles and sides are called congruent triangles.
Given that, Δ LMN ≅ Δ RST, ∠L = 49º, ∠M = 10x, ∠S = 70º, and ∠T = 4y + 9, we need to find the x and d,
Since, we know that, the congruent triangles have congruent corresponding angles.
Here, the congruent triangles are :
∠ L = ∠ R
∠ M = ∠ S
∠ N = ∠ T
We know that, the sum of angles of a triangle is 180°,
∠ R + ∠ S + ∠ T = 180°
∠ R + 70º + 4y + 9 = 180°
49º + 70º + 4y + 9 = 180°
128º + 4y = 180º
4y = 52º
y = 13º
∵
∠ M = ∠ S
10x = 70º
x = 7
Hence, the value of x and y in the given congruent triangles, are 7 and 13
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Help me with this please
nswer:
Step-by-step explanation:
6*[tex]10^{6}[/tex]------100
x-------40
x=6*10^6*4*10/100=24*10^5(social media)
6*[tex]10^{6}[/tex]------100
y-------30
y=6*10^6*3*10/100=18*10^5(music)
6*[tex]10^{6}[/tex]------100
z-------25
z=6*10^6*25/100=15*10^5(games)
6*[tex]10^{6}[/tex]------100
f-------5
f=6*10^6*5/100=3*10^5(video)
Ms. Kelley is hiring teachers for the science department at a new high school. There are 9 biology teachers and 5 chemistry teachers to choose from. How many different ways can Ms. Kelley hire a staff that includes one teacher in each subject?
The total number of ways is 45.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Ms. Kelley needs to hire one biology teacher and one chemistry teacher for the science department.
The number of ways to choose one biology teacher from a pool of 9
is 9.
The number of ways to choose one chemistry teacher from a pool of 5
is 5.
Now,
According to the multiplication principle of counting.
The total number of ways to hire one teacher from each subject.
= The number of ways to choose one biology teacher x The number of ways to choose one chemistry teacher.
= 9 x 5
= 45
Therefore,
The total number of ways Ms. Kelley can hire a staff that includes one teacher in each subject is 45.
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The following angles are given in degrees and fractions of degrees. Rewrite them in degrees, arcminutes, and arcseconds.
A. 24.2 degrees?
B. 1.56 degrees?
C. 0.1 degrees?
D. 0.01 degrees?
The value is approximately equal to 12.0711°
Degrees-Minutes-SecondsWhile measuring angles, we use various units of measurements such as the degrees or the SI unit radians as per our convenience.
When we use the degree system, we can use the degree-minute-second or the degree decimal system as per our requirement of precision.
The angle in degree - minutes - seconds is 12°4'16"
We know that [tex]\frac{1}{60}[/tex] of a degree is minute and [tex]\frac{1}{60}[/tex] of a minute is a second.
Hence, [tex]\frac{1}{3600}[/tex] of a degree is a second.
Therefore the angle [tex]\theta[/tex] in degrees and decimal fractions of degrees will be:
[tex]\theta[/tex] = [tex]12+\frac{1}{60}[/tex] × 4 + [tex]\frac{1}{3600}[/tex] × 16
= [tex](12+\frac{1}{15}+\frac{1}{225} )[/tex]°
The value is approximately equal to 12.0711°
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The given question is incomplete, complete question is:
The angle 12 degrees 4'16" is given in degrees, arcminutes, and arcseconds. How do you rewrite them in degrees and decimal fractions of degrees?
Which of the following is equal to the fraction below?
Answer:
Choice B
Step-by-step explanation:
(7/4)^11 = 471.431...
(7^11)/(4^11) = 471.431...
according to the empirical rule, what percentage of the observations in a data set that can be reasonably approximated by a normal curve lie within two standard deviations of the mean?
According to the empirical rule, the observations in a data set that can be reasonably approximated by a normal curve lie within two standard deviations of the mean is 95% .
The empirical rule, also known as the 68-95-99.7 rule or the three-sigma rule, is a statistical guideline that describes the approximate distribution of data that can be reasonably approximated by a normal curve. The rule states that:
Approximately 68% of the data falls within one standard deviation of the mean.
Approximately 95% of the data falls within two standard deviations of the mean.
Approximately 99.7% of the data falls within three standard deviations of the mean.
In other words, if a set of data is normally distributed (meaning it follows a bell-shaped curve), we can use the empirical rule to estimate the proportion of the data that falls within a certain range of values.
For example, let's say we have a data set that has a mean of 50 and a standard deviation of 10. Using the empirical rule, we can estimate that approximately:
68% of the data falls between 40 and 60 (one standard deviation from the mean)
95% of the data falls between 30 and 70 (two standard deviations from the mean)
99.7% of the data falls between 20 and 80 (three standard deviations from the mean)
It's important to note that the empirical rule is only an approximation, and it only applies to data that is approximately normally distributed. In some cases, the actual distribution
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I dont seem to understand this problem can anyone help?
The time it will take to do all the activities at the same time is given as follows:
60 minutes = one hour.
How to obtain the period?Considering periodic events, they will repeat on the same day for the least common factor of the periods of each event.
The periods of each event are given as follows:
Scones: 15 minutes.Muffins: 12 minutes.Cookies: 10 minutes.
The least common factor is obtaining factoring these numbers according to their prime factors, as follows:
15 - 12 - 10|2
15 - 6 - 5|2
15 - 3 - 5|3
5 - 1 - 5|5
1 - 1 - 1
Hence:
lcm(15,12,10) = 2² x 3 x 5 = 60 minutes.
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What is the length of the missing side of the quadrilateral shown if the perimeter is 5x+3 and 8x-4 and 10x+7
The length of the missing side of the quadrilateral shown if the perimeter is 5x+3 and sides are 8x-4 and 10x+7 and 3x+6 is -16x+12.
What is Perimeter?This is defined as the total distance around the shape.
The perimeter is the sum of the 4 sides.
Adding , 8x-4 and 10x+7 and 3x+6 , we have:
8x-4 + 10x+7 + 3x+6 = 21x+9
Subtract that from the given perimeter to get the missing side length which is:
5x+3 - 21x+9 = -16x+12
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Magdalena creates the scale drawing shown of a rectangular field. What is the area, in square meters ( m2 ), of the actual field? pls help…
The perimeter of the actual field is 91.8 meters.
The area of the actual field is 437.4 square meters.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
The scale of a rectangular field is given in the question, as follows:
1 cm = 4.5 m
So, the dimensions of the actual field, are as:
L = 7.2 × 4.5 = 32.4 m
W = 3 × 4.5 = 13.5 m
The perimeter of the actual field = 2(L+W)
The perimeter of the actual field = 2(32.4 + 13.5) = 2(45.9) = 91.8 m
The area of the actual field = L × W
The area of the actual field = 32.4 × 13.5 = 437.4 m²
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I understand this concept a little I just dont know how to do it with 3 different sections
Answer:
31) -$1.25
32) $0.50
Step-by-step explanation:
Problem 31
[tex]E(X)=\frac{1}{4}(-5)+\frac{1}{4}(-20)+\frac{1}{2}(10)=-\frac{5}{4}-5+5=-\frac{5}{4}=-1.25[/tex]
Hence, this person would expect to gain -$1.25 (or lose $1.25) if they play this game.
Problem 32
[tex]E(X)=\frac{1}{4}(2)+\frac{1}{4}(20)+\frac{1}{2}(-10)=\frac{1}{2}+5-5=\frac{1}{2}=0.50[/tex]
Hence, this person would expect to gain $0.50 if they play this game.
Answer:
31. -$1.25
32. $0.50
Step-by-step explanation:
The expected value is the sum of the product of each probability and its corresponding winnings or loss.
31.
p(win $10) = 1/2
amount of winnings = $10
p(loose $5) = 1/4
amount of loss = $5
p(loose $20) = 1/4
amount of loss = $20
expected value = (1/2)($10) + (1/4)(-$5) + (1/4)(-$20)
expected value = -$1.25
32.
p(win $2) = 1/4
amount of winnings = $2
p(win $20) = 1/4
amount of winnings = $20
p(loose $10) = 1/2
amount of loss = $10
expected value = (1/4)($2) + (1/4)($20) + (1/2)(-$10)
expected value = $0.50
30 points to whoever can help!!
Answer:
200
Step-by-step explanation:
9% of 200 =
200 x 0.9 =
18
Which step is incorrect?
Answer:Step 2
Step-by-step explanation: Bc Im right
Need ASAP. Questions are in the pictures attached! ty
The required rate of change of f(x) from x = -6 to x = 3 is f'(x) = 7.
What is the rate of change?Rate of change is defined as the change in value with rest to another value is called rate of change.
Here,
Given that,
f(x) = x² + 4x -15
Now, put x = -3
f(-3) = 9 - 12 - 15
f(-3) = -18
Now put x = 6
f(6)= 36 + 24 - 15
f(6) = 45
Since we know that, the rate of change of function is given as,
f'(x) = f'(a) - f'(b) / a -b
f'(x) =f'(6) - f'(-3) / a - b
f'(x) = 45 - (-18) / 6 -(-3)
f'(x) = 63 / 9
f'(x) = 7
Thus, the required rate of change of f(x) from x = -6 to x = 3 is f'(x) = 7.
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Part I: Make It Simple
1. Which expression is equivalent to 3 (k kk)? S
A. 9k
B. 3k
C. 3k4
D. 3k³
What is 15/16 as a decimal?
The decimal form of 15/16 is 0.9375.
To convert a fraction to a decimal, you can divide the numerator by the denominator. In this case, 15 divided by 16 equals 0.9375.
Alternatively, you can also use long division to find the decimal form of a fraction.
1. Set up the long division problem with 15 as the dividend and 16 as the divisor.
2. Since 16 does not go into 15, add a decimal point and a zero to the dividend.
3. Divide 16 into 150, which equals 9 with a remainder of 6.
4. Add another zero to the dividend and divide 16 into 60, which equals 3 with a remainder of 12.
5. Add another zero to the dividend and divide 16 into 120, which equals 7 with a remainder of 8.
6. Add another zero to the dividend and divide 16 into 80, which equals 5 with no remainder.
7. The final answer is 0.9375.
So, 15/16 as a decimal is 0.9375.
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Which of the following is true?
√2 is a rational number.
-√16 is an irrational number.
0 is neither a rational number nor an irrational number.
O 1.3 is a rational number but not an integer.
if I'm Wrong Sorry And Have a Nice Day .
Solve the system of equations below. Show work.
2x+y=102x+y=10
3x-y=53x−y=5
The system of equations has its solution to be (3, 4)
Hwo to solve the system of equationsFrom the question, we have the following parameters that can be used in our computation:
2x + y = 10
3x - y = 5
Add the equations
So, we have
5x = 15
Divide by 5
x = 3
Recall that
2x + y = 10
So, we have
6 + y = 10
Evaluate
y = 4
Hence, the solution is (3, 4)
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