Answer:
\(\frac{55}{14}\)
Step-by-step explanation:
First, we convert the mixed numbers into improper fractions: \(1\frac{3}{7} =\frac{10}{7}\), and \(2\frac{3}{4}=\frac{11}{4}\). Now, we multiply the fraction using the multiplication rule, \(\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}\): \(\frac{10}{7} \times \frac{11}{4} = \frac{110}{28} = \frac{55}{14}\).
Thus, the product of the two given fractions is 55/14.
This is for a Geometry-H class
Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees
How to Apply the Linear Angles Theorem?Based on the linear angles theorem, we have the following equation which we will use to find the value of y:
3y + 11 + 10y = 180
Add like terms
13y + 11 = 180
Subtract 11 from both sides
13y + 11 - 11 = 180 - 11
13y = 169
13y/13 = 169/13
y = 13
Plug in the value of y
3y + 11 = 3(13) + 11 = 50 degrees
10y = 10(13) = 130 degrees.
Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees.
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Please help!!!! How do you write 0.0174 in scientific notation?
Answer:
1.74*10^-2
Step-by-step explanation:
use as decimal with ones place times 10 to the powe of minus something
The ratio of fish to ducks at the water's edge was 5 to 2. If there were 28 in all, how many were fish?
Answer:
20 fish.
Step-by-step explanation:
Convert ratio to fraction:
There were 5 / (5 + 2) = 5/7 of fish.
So number of fish = 5/7 * 28
= 20.
my square orchid garden abuts my house so that the house itself forms the northern boundary. the fencing for the southern boundary costs $5 per foot, and the fencing for the east and west sides costs $3 per foot. find the total cost of the fencing as a function of the length (in feet) of a side x.
The total cost of the fencing as a function of the length of the x side is 11x
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
southern = 5$east = 3$west = 3$side = xTotal cost = ?Calculating the total cost:
Total cost = (southern + east + west) * side
Total cost = (5 + 3 + 3)*x
Total cost = 11x
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It rained 0.72 inches on Monday and 1.6 inches on Tuesday. How much more did it rain on Tuesday than Monday?
Answer:
0.88
Step-by-step explanation:
1.6-0.72=0.88
Answer:
.88
Step-by-step explanation:
You just need to subtract the 2 values or 1.6-0.72
the pound is an english unit of measure; its si counterpart is the
The pound is an English unit of measure, primarily used for weight. Its SI counterpart is the kilogram. The kilogram is the base unit of mass in the International System of Units (SI). It is defined as the mass of the International Prototype of the Kilogram (IPK), a platinum-iridium cylinder kept at the International Bureau of Weights and Measures (BIPM) in France.
Unlike the pound, which can vary in its exact weight depending on the context, the kilogram is a standardized unit. This means that one kilogram is always equal to 1000 grams. The SI system is used internationally and provides a consistent and uniform way to measure mass.
For example, if you have a 5-pound bag of flour and want to know its weight in kilograms, you would convert it by dividing the pounds by 2.2046, since 1 pound is approximately 0.4536 kilograms. In this case, the 5-pound bag of flour would be approximately 2.2679 kilograms.
In summary, while the pound is an English unit of measure for weight, its SI counterpart is the kilogram. The kilogram is the base unit of mass in the SI system and provides a standardized and internationally recognized way to measure mass.
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The gas tank is 20% full. At $3. 00 per gallon of gas, find the cost to fill the tank. (1 gal = 231 in. 3) the gas tank is 1. 25 by 1. 75 by 11
If the gas tank is 20% full then At $3. 00 per gallon of gas, the cost to fill the tank is $36
In this question we have been given that the gas tank is 20% full.
At $3. 00 per gallon of gas, we need to find the cost to fill the tank.
We have been given the dimensions of the gas tank is 1.25 ft. by 1.75 ft. by 11 in.
First we convert 1.25 ft. and 1.75 ft. into inches.
1.75 ft = (1.75 x 12 )in
and 1.25 ft. = (1.25 x 12) in
From given dimensions we find the volume of gas tank.
V = (1.75 x 12 ) * (1.25 x 12)* 11
V = 3465 cu.in.
The gas tank is 20% full.
This means, we need to fill 80 % of tank.
The 80 perecnt of total volume of gas tank would be,
3465 * 80/100 = 2772 cu. in.
We convert this value in gallon.
1 gal = 231 in^3
By unitary method,
2772 in^3 = 12 gal
The rate of filling the tank is $3. 00 per gallon of gas.
So, by unitary method,
for 12 gal, the total cost would be,
12 x 3= $36
Therefore, the cost to fill the tank = 36 dollars
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The quotient of 20 and x, increased by seven
Hi!
"The quotient of" means you divide, so the quotient of 20 and x means you divide 20 by x:
20:x
Now, increase by 7:
(20:x)+7 (Answer)
Hope it helps!
Enjoy your day!
Please feel free to ask if you have any doubts :)
❖Sparkles❖ here to help
\(\dfrac{20}{x} +7\)
What is quotient?Quotient is defined as when divide one number by another, the result is called the quotient.
The quotient of 20 and x, increased by seven
The following are possible interpretations of the given expression.
\(\dfrac{20}{x} +7\)
Here, "quotient" is the answer to a division.
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X is less than 9 and greater then or equal to -3
Write in inequality
Joan wants to have $250,000 when she retires in 29 years. How much should she invest annually in her sinking fund to do this if the interest is 4% compounded annually?
Joan should invest $4720 annually in her sinking fund to have $250,000 when she retires
Calculating the amount to investWe can use the future value formula for an annuity to solve this problem:
FV = PMT * [(1 + r)^n - 1] / r
Where:
FV = future valuePMT = annual paymentr = interest raten = number of periodsWe want to find PMT, so we can rearrange the formula:
PMT = FV * r / [(1 + r)^n - 1]
Plugging in the values we know:
FV = $250,000
r = 0.04
n = 29
PMT = $250,000 * 0.04 / [(1 + 0.04)^29 - 1]
PMT = $250,000 * 0.04 / 22.718
PMT = $4720
So Joan should invest approximately $4720 annually in her sinking fund to have $250,000 when she retires in 29 years, assuming an interest rate of 4% compounded annually.
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This histogram shows the number of peanuts per bag of trail mix. Choose ALL statements about the data that are true? A) The most common range of peanuts per bag is 30-39. B) There are more bags with 10-19 peanuts than 40-49. C) The least common range of peanuts per bag is 10-19. D) The ranges with the same number of bags are 10-19 and 40-49. E) The ranges with the same number of bags are 20-29 and 50-59.
Answer:
A), C), E)
Step-by-step explanation:
HELP A MEEEE whats 1Million x 1Million
Answer:
one trillion
Step-by-step explanation:
1. The number of people with the flu during an epidemic is a function, f, of the number of days, d, since the
epidemic began. The equation f(d) = 50- () defines f.
a. How many people had the flu at the beginning of the epidemic? Explain how you know.
b. How quickly is the flu spreading? Explain how you can tell from the equation.
c. What does f(1) mean in this situation?
d. Does f(3.5) make sense in this situation?
if () is not defined for non-integer values of d, then f (3.5) would not make sense.
What is inequality?In mathematics, an inequality is a statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). The values being compared can be numbers, variables, or expressions.
by the question.
a. At the beginning of the epidemic, the number of days since the epidemic began is 0. Therefore, substituting d = 0 in the equation f(d) = 50- () gives f (0) = 50 - 0 = 50. So, there were 50 people with the flu at the beginning of the epidemic.
b. The rate at which the flu is spreading can be determined by examining the coefficient of d in the equation f(d) = 50- (). Specifically, if the coefficient is positive, then the flu is spreading at an increasing rate, and if the coefficient is negative, then the flu is spreading at a decreasing rate. Additionally, the magnitude of the coefficient gives an indication of how quickly the flu is spreading. However, since the expression in the parentheses is not given in the question, it is not possible to determine the rate at which the flu is spreading.
c. f(1) represents the number of people with the flu after one day since the epidemic began. Substituting d = 1 in the equation f(d) = 50- (), we get f(1) = 50 - (). Therefore, f (1) depends on the value of ().
d. It is not possible to determine whether f(3.5) makes sense in this situation without knowing the value of (). If () is defined for non-integer values of d, then f(3.5) would make sense and represent the number of people with the flu after 3.5 days since the epidemic began.
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Jordan ran 7/8 mile on Monday and 5/6 mile on Tuesday.
How much farther did Jordan run on Monday than on Tuesday?
Enter your answer as a fraction in simplest form
Answer:
\( \frac{1}{24} miles \\ \)
Step-by-step explanation:
\( \frac{7}{8} - \frac{5}{6} = \frac{1}{24} \)
Help Meh Real Quick Plzzz (my brain is dead)
Its Maths and just need the answer!
Thanks!
Answer:
\(m=27\)
Step-by-step explanation:
When something is directly proportional, it means that: \(a=kb\), where \(k\) is some constant (number).
We are given that \(m\) is directly proportional to \(n^2\), and \(m=75\) when \(n=5\).
So, we have...
\(a=kb\)
\(m=kn^2\)
\(75=k(5)^2\)
\(75=25k\)
\(k=3\)
So the full equation is:
\(m=3n^2\)
Now, to find the answer when \(n=3\), simply put 3 into the equation.
Which gives:
\(m=3(3)^2\) \(m=9(3)\) \(m=27\)
Final answer: m=27.
Label the sides with its corresponding ratio in the special right triangle given below. The answer choice may be used more than once.
PLEASE HELP ME WITH THIS ASAP!!!
Answer: One
Step-by-step explanation: hard
Answer:
See below
Step-by-step explanation:
It is 30°x60° right triangle
It has sides a against 30° angle, √3a against 60° angle and 2a hypotenuse
Vertical leg = 1Horizontal leg = √3Hypotenuse = 2Question 1 (1 point) (08.03 LC) Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? -3x² - 5x + 9 =0 0.b Od Questions 1 a = 5, b=9, c=0 a = 3, b = 5, c=9 a = -3, b = -5, c = 9 a = -5, b = 9, c=0
Answer:
Step-by-step explanation:
Option B. a = −5, b = −9, c = 12
The general form of the quadratic equation is as following
ax² + bx + c = 0
Where a, b and c are constants.
And the given equation is −5x2 − 9x + 12 = 0
Comparing the given equation to the general form
ax² + bx + c = 0
−5x2 − 9x + 12 = 0
So, a = -5 , b = -9 and c = 12
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.
So, the answer is option B: a = −5, b = −9, c = 12
How to I put x>-2.5 on a number line?
Answer:
Open circle. Points right
Step-by-step explanation:
The reason for it is because this symbol > represents greater than when it comes to inequalities. When it is an open circle that means that you are not including the number. So that also means that the -2.5 is not included to the inequality equation but it can be any other number other than that number.
how many samples of size n=2 can be drawn from this population
The samples of size n = 2 that can be drawn from this population is 28
How many samples of size n=2 can be drawn from this populationFrom the question, we have the following parameters that can be used in our computation:
Population, N = 8
Sample, n = 2
The samples of size n = 2 that can be drawn from this population is calculated as
Sample = N!/(n! * (N - n)!)
substitute the known values in the above equation, so, we have the following representation
Sample = 8!/(2! * 6!)
Evaluate
Sample = 28
Hence, the number of samples is 28
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Complete question
A finite population consists of 8 elements.
10,10,10,10,10,12,18,40
How many samples of size n = 2 can be drawn this population?
how to determine if a relation is a function calculator
Answer:
A relation is defined as the collection of inputs and outputs which are related to each other in some way. In case, if each input in relation has accurately one output, then the relation is called a function.
Based on the given relation, we found that it is not a function because it has repeating x-values. Remember, for a relation to be a function, each input (x-value) must correspond to exactly one output (y-value).
To determine if a relation is a function, you need to check if each input (x-value) corresponds to exactly one output (y-value). You can use the following steps:
1. Identify the given relation as a set of ordered pairs, where each ordered pair represents an input-output pair.
2. Check if there are any repeating x-values in the relation. If there are no repeating x-values, move to the next step. If there are repeating x-values, the relation is not a function.
3. For each unique x-value, check if there is only one corresponding y-value. If there is exactly one y-value for each x-value, then the relation is a function. If there is more than one y-value for any x-value, then the relation is not a function.
Let's consider an example relation: {(1, 2), (2, 3), (3, 4), (2, 5)}.
Step 1: Identify the relation as a set of ordered pairs: {(1, 2), (2, 3), (3, 4), (2, 5)}.
Step 2: Check for repeating x-values. In our example, we have a repeating x-value of 2. Therefore, the relation is not a function.
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In the figure below, mR is 66°, and mT is 130°. Note: Figure is not drawn to scale. What is mQ? A. 24° B. 50° C. 64° D. 116°
Answer:
b
Step-by-step explanation:
i just think so correct me if im wrong
..........................
Answer:
????????????????????
Step-by-step explanation:
Ummmm????????????????
Answer:
cos a = \(\frac{7}{25}\)
Step-by-step explanation:
Given
sin a = \(\frac{24}{25}\) = \(\frac{opposite}{hypotenuse}\)
tan a = \(\frac{24}{7}\) = \(\frac{opposite}{adjacent}\)
Then this is a right triangle with opposite = 24, adjacent = 7 and hypotenuse = 25 , then
cos a = \(\frac{adjacent}{hypotenuse}\) = \(\frac{7}{25}\)
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 84648464 with a mean life of 886886 minutes. If the claim is true, in a sample of 145145 batteries, what is the probability that the mean battery life would be greater than 904.8904.8 minutes
We can conclude that it is extremely unlikely to obtain a sample mean greater than 904.8 minutes if the design engineer's claim about the population variance and mean is true.
We can use the Central Limit Theorem to approximate the distribution of the sample means.
Under the given assumptions, the mean of the sampling distribution of the sample means is equal to the population mean, which is 886886 minutes, and the standard deviation of the sampling distribution of the sample means is equal to the population standard deviation divided by the square root of the sample size, which is\(\sqrt{84648464/145145} = 41.77\) minutes.
Therefore, we can standardize the sample mean using the formula:
\(z = (\bar{x} - \mu) / (\sigma / \sqrt{n } )\)
where \(\bar{x}\) is the sample mean, \(\mu\) is the population mean, sigma is the population standard deviation, and n is the sample size.
Plugging in the values we get:
z = (904.8 - 886886) / (41.77) = -21115.47
The probability of getting a sample mean greater than 904.8 minutes can be calculated as the area under the standard normal curve to the right of z = -21115.47.
This probability is essentially zero, since the standard normal distribution is symmetric and nearly all of its area is to the left of -6.
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Given: x + 2 < -5. Choose the solution set.
Answer:
\( x+2-2 <-5-2\)
And after operate we got:
\( x <-7\)
And then the solution would be \(x<-7\)
Step-by-step explanation:
For this problem we have the following inequality:
\( x+2 <-5\)
The first step would be subtract 2 from both sides of the equation and we got:
\( x+2-2 <-5-2\)
And after operate we got:
\( x <-7\)
And then the solution would be \(x<-7\)
will the sampling distribution of x overbarx always be approximately normally distributed? explain.
If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.
The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:
1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.
The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.
If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.
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Question 2 (3 points)
Use the graph below to fill in the blank with the correct number:
f(1) =
(3 points)
5
4
3
.
2.
1
3
-5 -4 -3 -2 -1
-1
-2
-3
-4
Answer: 7
Step-by-step explanation:
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units. What is the height of the cylinder? 2 units 4 units 6 units 8 units
Answer:
6 unitsStep-by-step explanation:
Let, Radius = r units
Height ( h ) = 3r units
Volume ( V ) = 24π units³
Now,
Let's find the height of the cylinder:
\(\pi {r}^{2} h \: = 24\pi\)
\( {r}^{2} (3r) = 24\)
Calculate the product
\(3 {r}^{3} = 24\)
Divide both sides of equation by 3
\( \frac{3 {r}^{ 3} }{3} = \frac{24}{3} \)
Calculate
\( {r}^{3} = 8\)
Write the number in the exponential form with an exponent of 3
\( {r}^{3} = {2}^{3} \)
Take the root of both sides of the equation
\(r = 2\)
Replacing value,
Height = 3r
\( = 3 \times 2\)
Calculate
\( = 6 \: units\)
Hope this helps..
Best regards!!
Answer:
\(\boxed{6 \: \mathrm{units}}\)
Step-by-step explanation:
The formula for volume of cylinder is:
\(V=\pi r^2 h\\V:volume\\r:radius\\h:height\)
\(V=24\pi\\h=3r\)
Solve for r.
\(24\pi =\pi r^2 (3r)\)
Cancel \(\pi\) on both sides.
\(24=3r^3\)
Divide 3 on both sides.
\(8=r^3\)
Cube root on both sides.
\(2=r\)
The radius of the base is 2 units.
Solve for h.
\(24\pi =\pi (2)^2 h\)
Cancel \(\pi\) on both sides.
\(24=4h\)
Divide both sides by 4.
\(6=h\)
When a correlation is found between a pair of variables, this always means that there is a direct cause and effect relationship between the variables.
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nevaeh is older than kadeem. their ages are consecutive integers. find nevaeh's age if the sum of the square of nevaeh's age and 2 times kareem's age is 61.
In the given word problem, Nevaeh's age is 7.
Given that,
Nevaeh is older than Kareem.
Their ages are consecutive integers.
The sum of the square of Nevaeh's age and twice Kareem's age is 61.
Assume Nevaeh's age as x.
Since Nevaeh is older than Kareem, Kareem's age would be x-1.
According to the problem,
The sum of the square of Nevaeh's age and twice Kareem's age is 61.
So, we can write the equation as:
x² + 2(x-1) = 61.
Expanding the equation, we get:
x² + 2x - 2 = 61.
Rearranging the terms, we have:
x² + 2x - 63 = 0.
x² + 9x - 7x - 63 = 0
x(x + 9) - 7(x + 9) = 0
(x - 7)(x+9) = 0
x = 7 or x = - 9
Since age is a positive quantity, therefore, proceed x = 7
Therefore, Nevaeh's age is 7.
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Help! What's the answer?
The given expression √10 and √26 are irrational numbers.
The sum of √10 and √26 cannot be simplified because the two numbers are not like terms. However, we can estimate the value of the sum by using the fact that the square root of a number is between two consecutive perfect squares.
For √10, we know that 9 < 10 < 16, so √10 is between 3 and 4. For √26, we know that 25 < 26 < 36, so √26 is between 5 and 6. Therefore, we can estimate the sum of √10 and √26 to be between 8 and 10.
To get a more precise value, we can use a calculator to evaluate the sum of √10 and √26. Using a calculator, we find that the sum of √10 and √26 is approximately 7.051. Therefore, we can describe the sum of √10 and √26 as a decimal number that is approximately 7.051.
Alternatively, we can write the sum of √10 and √26 as a simplified radical expression. To do this, we need to combine the two radical terms into a single term using the distributive property of multiplication. We have:
√10 + √26 = √(10 × 1) + √(26 × 1) = √10 × √1 + √26 × √1 = √10 + √26
Therefore, we cannot simplify the sum of √10 and √26 any further, and we can describe it as the sum of two irrational numbers.
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