what kind of number is -15/3?
A) whole number
B) integer
C) rational
D) irrational
Answer:
Rational
Step-by-step explanation:
Improper fractions are always rational.
I don’t get this can someone help me please?
Answer:
x=144
Step-by-step explanation:
since they are similar their sides have a common ratio
24/x=42/7
7x=42*24
7x=1008
x=144
y> 4 1 x+1 y≥− 2 3 x+2 Which graph represents the system of inequalities? Choose 1 answer: Choose 1 answer:
The graph of the given inequalities is Attached below.
From the given inequalities:
As the first inequality is not strictly true, the graph of it is a straight solid line that passes through the points (0, 2) and (2/3, 0), with the shaded area being further from the origin ( as it fails the zero point test )
As the second inequality is not stringent, the graph of the inequality is a straight solid line that passes through the points (0,-4) and (8,0), with the shaded area pointing in the direction of the origin (since the inequality passes the zero point test)
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Complete question:
Which graph represents the system of inequalities?
y + 3x ≥ 2
y + 4 ≥ 1/2x
a cylinder with a height of 32 mm and a diagonal 40 mm what is the surface area
The surface area of the cylinder is calculated as approximately:
8,444.6 mm².
How to Find the Surface Area of a Cylinder?The surface area of a cylinder (SA) = 2πrh + 2πr², where:
r is the radius
h is the height of the cylinder.
Given the following:
Diagonal of cylinder = 40 mm
Height of cylinder (h) = 32 mm
Radius (r) = √(40² - 32²) = 24 mm [based on Pythagorean Theorem]
Plug in the values:
surface area of the cylinder (SA) = (2 * π * 24 * 32) + (2 * π * 24²)
≈ 8,444.6 mm²
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Is the relation a function?
No, the relation is not a function.
Is the given relation a function?Given the relation in the question:
x: -2, -4, -1, -4, 5, 3
y: 1, -3, 2, 8, 0, -1
A function is simply a relationship that maps one input to one output.
To determine whether the relation is a function, we need to check whether each x-value in the relation is associated with a unique y-value.
Looking at the x-values, we see that there are repeated values of -4, which means that there are multiple y-values ( -3 and 8 ) associated with x = -4.
The mapping of x to y is not well-defined for all values of x, since one value of x is associated with multiple values of y, hence, it is not a function.
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A circular flower bed is 17 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for . The area of the sidewalk is m². (Round to the nearest whole number as needed.)
The area of the sidewalk is 264 sq. m.
What is area of a circle?A circle is a figure that is bounded by curved line called its circumference. Its area is the amount of space that he circle will cover on a 2 dimensional plane. It can be determined by:
area of a circle = πr^2
where r is the radius of the circle.
In the given question,
area of the circular flower = πr^2
r = d/2 (d is the diameter)
= 17/ 2
r = 8.5 m
area of the circular flower = 3.14*(8.5)^2
= 226.865 sq. m
area of the circular flower with sidewalk = πr^2
d = 4 + 17 + 4 = 25 m
so that,
r = 25/ 2 = 12.5 m
area of the circular flower with sidewalk = 3.14*(12.5)^2
= 490.625 sq. m
Area of the sidewalk = area of the circular flower with sidewalk - area of the circular flower
= 490.625 - 226.865
= 263.76 sq. m
The area of the sidewalk is 264 sq. m.
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PLS HELP ME OUT! A sporting event has a promotion in which the first 1,000 fans to enter the arena receive either a blue cap or a red cap. A random number generator is used to simulate the color of a cap given to a person where indicates a blue cap and indicates a red cap. Ten simulations, each consisting of ten random numbers, are conducted, and the results are shown in the following table:
Based on the simulations, what is the probability that ten hats given to ten people will consist of more blue caps than red caps? a. 0.20
b. 0.40 c. 0.60 d. 0.80
The probability that ten hats given to ten people will consist of more blue caps than red caps is given as follows:
a. 0.2.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The outcomes in which there are more blue than red caps are those in which the number of zeros is greater than the number of ones, hence the number of desired outcomes is of:
2. (simulation number 7 and simulation number 10).
Hence the probability is of:
p = 2/10
p = 0.2.
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The time spent waiting in the line is approximately normally distributed. The mean waiting time is 7
minutes and the standard deviation of the waiting time is 1
minute. Find the probability that a person will wait for less than 9
minutes. Round your answer to four decimal places.
The probability that a person will wait for more than 9 minutes is approximately 0.0912 or 9.12%. This means that out of 100 people, about 9 of them will wait for more than 9 minutes in the line.
We know that,
To solve this problem, we need to use the normal distribution and standardize the variable of interest. We know that the mean waiting time is 5 minutes and the standard deviation is 3 minutes, so we can write: Z = (X - μ) / σ
where X is the waiting time, μ is the mean waiting time (5 minutes), σ is the standard deviation (3 minutes), and Z is the standardized variable.
To find the probability that a person will wait for more than 9 minutes, we need to find the area under the normal curve to the right of 9. We can do this by standardizing 9 using the formula above: Z = (9 - 5) / 3 = 1.33 .
We can use a standard normal table or a calculator to find the probability that Z is greater than 1.33. Using a calculator, we find that this probability is approximately 0.0912.
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Consider this literal equation. 3/a x - 4 = 20 Are there any cases where the value of x or a would cause a problem? Use complete sentences to explain your reasoning.
Yes, there are cases where the value of x or a would cause a problem in this equation.
A value of 0 for a would cause a problem because division by zero is undefined.
Therefore, we cannot have a=0 in this equation.
Additionally, if a fraction is being used as a value for a, there could be potential problems with rounding errors or decimal approximations that could cause issues in solving for x accurately.
It is also possible that certain values of x may make the left-hand side of the equation undefined, such as if x = 0 and a = 6.
However, these cases may not necessarily be problematic, depending on the context of the problem and the solutions being sought.
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which function has the greatest rate or change
Mrs Netshirando sells 450 g packs of rusks at R49,50 per pack. The table below shows the main ingredients of the rusks. TABLE 1: MAIN INGREDIENTS TO BAKE 5 000 g OF RUSKS Quantities Ingredients Self-rising flour Bran flour Raisins Butter NOTE: A rusk is a hard, dry biscuit or twice baked bread se the information above to answer the questions that follow. 1,56 kg 6,25 cups 1 Convert 1,56 kilogram (kg) to gram (g). 125 g [Adapted from www.food24.com/Recipes-and-Menus South-African-Recipes! 625 g
1560 g.
To convert 1.56 kg to g, we can use the conversion factor 1 kg = 1000 g:
1.56 kg = 1.56 x 1000 g = 1560 g
Therefore, the answer is 1560 g.
Help !!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Upper problem:
The transformation is a translation of 3 units down.
Lower problem:
The transformation is a translation of 2 units left and 5 units down.
What is the value of 2x3−2x2+2x−82x2−5x if x=−2 ?
The value of the given algebraic expression is -2.
To find the value of the expression 2x³ - 2x² + 2x - 8 / 2x² - 5x when x = -2, we simply substitute -2 for every instance of x in the expression:
2(-2)³ - 2(-2)² + 2(-2) - 8 / 2(-2)² - 5(-2)
= 2(-8) - 2(4) - 4 - 8 / 8 + 10
= -16 - 8 - 4 - 8 / 18
= -36 / 18
= -2
Therefore, the value of the expression 2x³ - 2x² + 2x - 8 / 2x² - 5x when x = -2 is -2.
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Find the value of x.
A 45, 45, 90 degree right triangle is drawn. One of the 45 degree angles is labeled. The leg adjacent to that 45 degree angle is labeled 5. The leg opposite that 45 degree angle is labeled x. The hypotenuse is labeled y.
Answer:
x = 5
y = 5√2
Step-by-step explanation:
In a 45-45-90 degree right triangle, the two legs form the right angle, and the hypotenuse is opposite the right angle.
The side lengths of a 45-45-90 right triangle are in the ratio
1 : 1 : √2
The legs are congruent, so if one leg has length 5, the other leg also has length 5.
The hypotenuse is √2 times the length of the legs.
x = 5
y = 5√2
Miriana rolled two fair number cubes for one experiment. She rolled a three then a six 7 times in 180 experiments. How many more times did she roll this sequence than what the theoretical probability would have predicted?
Miriana rolled the sequence of 3 and then 6 two more times than the theoretical probability would have predicted.
The theoretical probability of rolling a three-on-one number cube is 1/6, and the same is true for rolling a six. Since the two rolls are independent,
The probability of rolling a three and then a six in the sequence is the product of the probabilities: (1/6) x (1/6) = 1/36.
To find the expected number of times this sequence would occur in 180 experiments, we multiply the probability by the number of experiments: (1/36) x 180 = 5.
So, if Miriana had rolled the number of cubes according to the theoretical probability, we would have expected her to roll the sequence of 3 and then 6 five times in 180 experiments.
However, she actually rolled this sequence 7 times, so she rolled it 2 more times than the theoretical probability would have predicted.
Therefore, Miriana rolled the sequence of 3 and then 6 two more times than the theoretical probability would have predicted.
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The spinner shown has eight congruent sections. The spinner is spun 320 times. What is a reasonable prediction for the number of times the spinner will land on an odd number?
It is fair to assume that the spinner will land on an odd number 160 times.
The likelihood of landing on any one of the eight congruent portions of the spinner is 1/8. This information allows us to reasonably forecast the frequency with which the spinner will fall on an odd number.
The likelihood of landing on an odd number is 4/8 or 1/2 since the spinner has four odd numbers (1, 3, 5, and 7) and four even numbers (2, 4, 6, and 8). Thus, we may anticipate that the spinner will land on an odd number on average 50% of the time.
If the spinner is spun 320 times, we would expect it to land on an odd number about half of those times, or approximately:
(1/2) x 320 = 160
Therefore, the probability that the spinner will fall on an odd number 160 times is fair.
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A reasonable prediction for the number of times the spinner will land on an odd number is 160.
We have,
Since the spinner has eight congruent sections, each odd number (1, 3, 5, and 7) appears once on the spinner, and there are a total of four odd numbers.
Since the spinner is spun 320 times, we can expect each section of the spinner to be landed on equally, on average.
Therefore, the expected number of times the spinner will land on any one section is 320/8 = 40.
Since each odd number appears once on the spinner, we can expect the spinner to land on an odd number 4 times in every 8 spins, or once in every 2 spins.
Therefore, the expected number of times the spinner will land on an odd number in 320 spins is approximately 320/2 = 160.
Thus,
A reasonable prediction for the number of times the spinner will land on an odd number is 160.
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what is the circumference of the given circle in terms of pi ?12 in
12π inches is the circumference of the given circle with a diameter of 12 inches.
The circumference of a circle can be found using the formula C = π*d, where d is the diameter of the circle.
If the diameter of the circle is 12 inches, then the circumference is:
C = π* d
C = π * 12 inches
C = 12π inches
So, the circumference of the circle in terms of π is 12π inches.
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-Calcula la primera derivada de la función (Método de Richardson).
F(X)= X4 + 3X2 +2
en X=2 h=0.01
The first derivative of the function f(x) = x^4 + 3x^2 + 2 at x=2 using Richardson's method with h=0.01 is approximately 33.8933.
To calculate the first derivative of the function f(x) = x^4 + 3x^2 + 2 using Richardson's method, we need to first calculate the approximate values of the function at x=2 and x=2+h, where h=0.01.
So, we have:
f(2) = 2^4 + 3(2^2) + 2 = 24
f(2+h) = (2+h)^4 + 3(2+h)^2 + 2
= 16 + 32h + 24h^2 + 8h^3 + h^4 + 12 + 12h + 3h^2 + 2
= h^4 + 8h^3 + 24h^2 + 35h + 30
Now, we can use Richardson's extrapolation formula to calculate the first derivative of the function at x=2:
f'(2) ≈ (4f(2+h) - f(2)) / (3h)
Substituting in the values we have:
f'(2) ≈ (4(h^4 + 8h^3 + 24h^2 + 35h + 30) - 24) / (3h)
= (4h^4 + 32h^3 + 96h^2 + 140h + 96) / (3h)
= (4h^3 + 32h^2 + 96h + 140) / 3
Now, we can substitute h=0.01 to get the value of the first derivative at x=2:
f'(2) ≈ (4(0.01^3) + 32(0.01^2) + 96(0.01) + 140) / 3
≈ (4(0.000001) + 32(0.0001) + 0.96 + 140) / 3
≈ (0.000004 + 0.0032 + 0.96 + 140) / 3
≈ 140.9632 / 3
≈ 33.8933
Therefore, the first derivative of the function f(x) = x^4 + 3x^2 + 2 at x=2 using Richardson's method with h=0.01 is approximately 33.8933.
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Perry and Darryl are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. Perry sold 1 bag of windflower bulbs and 1 bag of daffodil bulbs for a total of $20. Darryl sold 7 bags of windflower bulbs and 1 bag of daffodil bulbs for a total of $68. What is the cost for each bag of windflower bulbs and one bag of daffodil bulbs?
A bag of daffodil bulbs costs $12 and a bag of windflower bulbs $8.
Let's use the letters "w" for the price of a bag of windflower bulbs and "d" for the price of a bag of daffodil bulbs.
We may construct the following system of equations based on the above information:
Perry's sales:
w + d = 20 (equation 1)
Darryl's sales:
7w + d = 68 (equation 2)
To solve for w and d, we can use the elimination method. Multiplying equation 1 by -1, we get:
-w - d = -20
Adding this to equation 2, we eliminate d and get:
6w = 48
Dividing both sides by 6, we get:
w = 8
Substituting this value of w into equation 1, we can solve for d:
8 + d = 20
d = 12
Therefore, a bag of windflower bulbs costs $8 and a bag of daffodil bulbs costs $12.
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which statement about odd functions is correct?
Answer: C
Step-by-step explanation:
Think about y=[tex]x^{3}[/tex] This is an odd function because the highest exponent(degree) is odd
A. is wrong. Symmetry is where you can fold it and it would be the same. If i folded y=[tex]x^{3}[/tex] along the y- axis it would not be the same.
B is wrong. Transformations are where has it moved, which has nothing to do with odd functions in general
C. is correct. It is folded along y=x and flipped.
D. is wrong. If folded y=x it's in the same quadrant but it's not the same, its' reversed.
If $x$ is a real number, find $49x^2+14x(19-7x)+(19-7x)^2$
The value of the expression is $-56x² + 266x + 261
What are algebraic expressions?Algebraic expressions are simply described as mathematical expressions that consists of coefficients, certain variables, terms, constants and factors.
Algebraic expressions are also identified with arithmetic operations, such as;
SubtractionMultiplicationDivisionAdditionBracketParenthesesFrom the information given, we have;
$49x^2+14x(19-7x)+(19-7x)^2
expand the bracket, we get;
49x² + 266x - 98x² + 361 - 7x²
Now, collect the like terms, we get;
49x² - 98x² - 7x² + 266x + 361
Add or subtract the values
$-56x² + 266x + 261
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I am faster than the speed of
sound. I weigh nothing, but I
can fill a room. What am I?
please help!!!!!!!!!!!
The value of x in the given diagram is 12.
option C.
What is the value of x?The value of x in the given diagram is calculated by apply the principle of intersecting chord theorem as shown below;
The intersecting chord theorem states that angle formed at the circumference is twice the angle at the tangent.
the angle at circumference = 360 - (6 + 20x)
tangent angle = 4x + 9
360 - (6 + 20x) = 2 (4x + 9)
360 - 6 - 20x = 8x + 18
-28x = -336
x = 336/28
x = 12
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Write four math sentences that have an answer of 2.4. Use a different operation in each sentence.
The four math sentences that have an answer of 2.4 are 1.2 + 1.2, 1.2 * 2, 3.6 - 1.2 and 4.8/2
Writing four math sentences that have an answer of 2.4.From the question, we have the following parameters that can be used in our computation:
An answer of 2.4
Using a different operation in each sentence., we have the following math sentences
1.2 + 1.2
1.2 * 2
3.6 - 1.2
4.8/2
The solution to each of the above sentences is 2.4
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lina bought two patio chairs that cost $ 37 each and a table that cost $ 58. what is the total cost of these items?
answer 95 I think that is the answer do you know it it is hard
Answer:
Total cost = $132
Step-by-step explanation:
We can find the total cost using the formula
total cost = (item 1 quantity * cost) + (item 2 quantity * cost)
We essentially find the sum of the product of item quantity and cost for each item:
Thus, for 2 chairs costing $37/chair and 1 table costing $58/table, the total cost is:
Total cost = (2 * $37) + (1 * $58)
Total cost = $74 + $58
Total cost = $132
On your w-2 it states that you paid $12,042 in federal taxes. When filing your taxes and after all deductions, it says you should have paid $10,628 in federal taxes. How much is your tax refund? Please round to the nearest cent and do not put a dollar sign or spaces in your answer.
The amount of your tax refund is $1,414
how to determine how much is your tax refundTo find the tax refund, we need to subtract the amount of federal taxes owed after deductions from the amount of federal taxes already paid.
Tax refund = Federal taxes paid - Federal taxes owed after deductions
Tax refund = $12,042 - $10,628
Tax refund = $1,414
Rounding to the nearest cent, the tax refund is $1,414.00.
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SOLVE the following equations (6x-50-7(3X+10)=0
Answer:
6x-50-7(3x+10)=0
Distribute the -7:
6x - 50 - 21x - 70 = 0
Combine like terms:
-15x - 120 = 0
Add 120 to both sides:
-15x = 120
Divide both sides by -15:
x = -8
Garnier's Opera House is a revival of the________style.
Romantic
Gothic
Renaissance
Baroque
Answer: Garnier's Opera House is a revival of the Baroque style.
HURRY ASAP!!! NEED THE ANSWER
The graph shows f(x). The absolute value function g(x) is described in the table.
The graph shows a v-shaped graph, labeled f of x, with a vertex at 0 comma 2, a point at negative 1 comma 3, and a point at 1 comma 3.
x g(x)
−1 5
0 4
1 3
2 2
3 3
If g(x) = f(x + k), what is the value of k?
k = −2
k is equal to negative one half
k is equal to one half
k = 2
Answer:
A
Step-by-step explanation:
determine the volume of the composite figure below. round to the hundredths place if needed.
The volume of the composite figure is calculated as:
= 1,894.2 cm³
What is the Volume of the Composite Figure?The volume of the composite figure can be calculated using:
Volume = volume of rectangular prism + 1/2(volume of cylinder)
Volume of rectangular prism = length * width * height
length = 15 cm
width = 2(6) = 12 cm
height = 10 cm
Volume of rectangular prism = 15 * 12 * 10 = 1,800 cm³
Volume of half Cylinder = 1/2(πr²h)
r = 6 cm
h = 10 cm
π = 3.14
Volume of half Cylinder = 1/2(πr²h) = 1/2 * 3.14 * 6 * 10 = 94.20 cm³
Volume of the composite figure = 1,800 + 94.20 = 1,894.2 cm³
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