The digit 3 in the number 17039 represents the value of 3 in the tens place. The place value system is a way to understand the value of each digit in a number. In this case, each digit in the number 17039 has a specific place value, starting from the rightmost digit, which is the ones place, then the tens place, followed by the hundreds place and so on. In the number 17039, the digit 3 is located in the tens place which represent 3 x 10 = 30. To understand the value of any digit in a number, you can multiply the digit by its corresponding place value.
Answer:
The digit 3 in the number 17039 represents the value of 3 in the tens place
Step-by-step explanation:
Andrew and Michael went for a hike in the Great Smoky
Mountains. They drank 500 fluid ounces of water during
their hike. What possible combinations of water could
Andrew and Michael have each drank while they were
hiking?
Here are some suggestions to assist you make sure you are consuming enough liquids to keep your hydration levels at good levels.
How much water should you drink while walking?By multiplying the hourly sweat rate by 4, you may calculate how much to drink every 15 minutes. This becomes the recommended amount of fluid consumption every 15 minutes of walking or running.Every hour of hiking for adults typically requires 2 cups of water. For every hour of hiking, kids typically need 1-2 cups. However, depending on whether you can filter water along the journey, the weather, and your own level of thirst, you might require more or less than this.An excellent general advice is one half-liter of water for every hour of moderate activity in temperatures between 50 and 60 degrees. If the temperature and level of exercise increase, you might need to drink more.To learn more about hydration refer to:
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There are an infinite number of combinations of water that Andrew and Michael could have each drank as long as the sum is 500.
How to solve the equation?Since Andrew and Michael drank a total of 500 fluid ounces of water, any combination of water that they drank must add up to 500 fluid ounces.
Let's call the amount of water Andrew drank as "a" and the amount of water Michael drank as "m". Then, we can write the equation: a + m = 500.
There are an infinite number of combinations of water that Andrew and Michael could have each drank as long as the sum is 500. Here are a few examples:
Andrew drank 250 fluid ounces and Michael drank 250 fluid ounces.
Andrew drank 200 fluid ounces and Michael drank 300 fluid ounces.
Andrew drank 100 fluid ounces and Michael drank 400 fluid ounces.
and so on.
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What is the value of k such that the following pair of equations have infinitely many solutions?.
For the value of k is equal to 6, the system of equations,
kx + 3y - (k – 3) = 0 and 12x + ky - k = 0 have infinitely many solutions
Here we have equations
kx + 3y - (k – 3) = 0
12x + ky - k = 0
For a system of 2 linear equations,
a₁x + a₂y + a₃ = 0
b₁x + b₂y + b₃ = 0
They will have infinitely many solutions if
a₁/b₁ = a₂/b₂ = a₃/b₃
here,
k = a₁, 3 = a₂ - (k – 3) = a₃
12 = b₁ k = b₂ - k = b₃
Hence
k/12 = 3/k = (3 - k)/(-k)
Taking up
3/k = (3 - k)/(-k)
we get
3 = k - 3
or, k = 6
hence for k = 6, the equations will have infinite solutions.
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Complete Question
What is the value of k such that the following pair of equations has infinitely many solutions?
kx + 3y - (k – 3) = 0
12x + ky - k = 0
What is the product of 64?.
The product of 64 are 1, 2, 4, 8, 16, 32, 64 and its factors in pairs are (1, 64), (2, 32), (4, 16), and (8, 8).
A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
The set of integers that can be divided evenly by 64 is called the factorization of 64. Overall, there are 7 components that make up 64: 1, 2, 4, 8, 16, 32, and 64, with 64 being the largest. The prime factors for the number 64 are 1, 2, 4, 8, 16, 32, and 64. Its factors in pairs are 1, 64, 2, 32, 4, and 16. (8, 8).
Factors of 64: 1, 2, 4, 8, 16, 32 and 64Negative Factors of 64: -1, -2, -4, -8, -16, -32 and -64Prime Factors of 64: 2Prime Factorization of 64: 2 × 2 × 2 × 2 × 2 × 2 = 26Sum of Factors of 64: 127Learn more about Factors:
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The posted rates for cab fare are $4 plus $1 per
mile. How many miles can a passenger travel in the
cab for $15?
O 15 miles
O 8 miles
O 14 miles
O 11 miles
Help me in question b
An inequality that shows how much faster Elanor can drive without going over the speed limit is 43.5 + s ≤ 55.
Elanor can increase her speed by 2.
How to write, solve, and graph the required inequality?In order to write and solve an inequality that represents how much faster Elanor can drive without going over the speed limit, we would take note of the following important information;
The maximum speed limit is equal to 55.Elanor's speed is equal to 43.5.Let the variable s represent the safe speed.Now, we can write an inequality that represents the value of s for which the speed of Elanor is still safe as follows;
43.5 + s ≤ 55
By subtracting 43.5 from both sides of the inequality, we have the following:
43.5 - 43.5 + s ≤ 55 - 43.5
s ≤ 11.5
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What is the axis of symmetry and vertex for the function /( x 3 x 2 2 4?.
The axis of symmetry is the y-axis and the vertex for the function
f(x) = 3(x - 2)²+ 4 is (2,4).
Given f(x) = 3(x - 2)² + 4
The graph will be symmetrical to the y-axis and since a> 0, the parabola opens up.
The axis of symmetry is the line that divides a parabola into two symmetrical parts. The vertex is the point where the axis of symmetry intersects the parabola.
The axis of the symmetry is x=2
The vertex form of a parabola is y = a (x - h)²+ k
The vertex is given by (h,k) coordinates.
In order to find the vertex, we need to compare the given equation to the vertex form of the parabola.
f(x) = 3(x - 2)²+ 4=0
a = 3, h = 2 and k = 4
Thus the vertex of the function is (2,4).
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M) a car is travelling at 29 mph. if the tires have a diameter of 25 inches, how fast are the cars tires turning? express answer in revolutions per minute
Answer:
To calculate the speed of the car's tires turning, you need to first calculate the circumference of the tire. If the tire has a 25 inch diameter, multiply 25 by 3.1416 to find the tire circumference, which is 78.54 inches. Now, divide 63,360 inches per mile by the tire circumference (78.54) to find the revolutions per mile, which is 803.6. Finally, multiply 803.6 by 29 (the speed of the car in mph) to get the revolutions per minute, which is 23,253.6. Therefore, the car's tires are turning at a rate of 23,253.6 revolutions per minute.
The theater sells two types of tickets: adult tickets for $11 and child tickets for $3.
Last night, the theater sold a total of 464 tickets for a total of $3520. How many adult tickets did the theater sell last night?
The adult tickets sold were 409.
What number of total adult ticket were sold?11a + 3c = 3520
Where "a" is the number of adult tickets sold and "c" is the number of child tickets sold.
We also know that the theater sold a total of 464 tickets, so we can add the following equation:
a + c = 464
We can now use the first equation to solve for one of the variables, and then substitute it into the second equation:
11a + 3c = 3520
3c = 3520 - 11a
c = (3520 - 11a)/3
We know that:
a + c = 464
We can substitute the value of c into this equation:
a + (3520 - 11a)/3 = 464
a + (3520 - 11a) = 464*3
a + 3520 - 11a = 1392
12a = 4912
a = 4912/12
a = 409
So, the theater sold 409 adult tickets last night
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the image of the point (-9,9) under a translation is (-5,13). find the coordinates of the image of the point (-6,-7) under the same translation
Answer in the photo!!
hope it's right
What’s 14x+14x
x= 1/2
Answer in simplest form please and thank you!
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{14x + 14x}\\\\\mathsf{= 14(\dfrac{1}{2}) + 14(\dfrac{1}{2})}\\\\\mathsf{= \dfrac{14}{1}\times \dfrac{1}{2} + \dfrac{14}{1} \times \dfrac{1}{2}}\\\\\mathsf{= \dfrac{14\times1}{1\times2} + \dfrac{14\times1}{1\times2}}\\\\\mathsf{= \dfrac{14}{2} + \dfrac{14}{2}}\\\\\mathsf{= 7 + 7}\\\\\mathsf{= 14}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{14}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Answer:
14x + 14x = 14
Step-by-step explanation:
Given expression,
→ 14x + 14x
Now we have to use,
→ x = 1/2
Let's simplify the expression,
→ 14x + 14x
→ 14(1/2) + 14(1/2)
→ (14/2) + (14/2)
→ 7 + 7
→ 14 => {final value}
Hence, required answer is 14.
he weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 35 grams. Use the empirical rule to determine the following. (a) About 99.7% of organs will be between what weights? (b) What percentage of organs weighs between 240 grams and 380 grams? (c) What percentage of organs weighs less than 240 grams or more than 380 grams? (d) What percentage of organs weighs between 240 grams and 415 grams?
a) About 99.7% of organs will be between 205 grams and 415 grams.
b) The percentage of organs weighing between 240 grams and 380 grams is of 95%.
c) The percentage of organs less than 240 grams or more than 380 grams is of 5%.
d) The percentage between 240 grams and 415 grams is of: 97.35%.
What is defined by the Empirical Rule?These approximate percentages are defined by the Empirical Rule, for a normally distributed variable:
68% of the measures within one standard deviation of the mean.95% of the measures within two standard deviation of the mean.99.7% of the measures within three standard deviation of the mean.The first three questions are quite straight forward, while for the fourth we consider the symmetry of the normal distribution, as follows:
95% of 50% of the measures are between 240 grams and 310 grams.99.7% of 50% of the measures are between 310 grams and 415 grams.Hence the total percentage is of:
0.95 x 50 + 0.997 x 50 = 97.35%.
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What is the result when the number 28 is decreased by 25%?
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
28 - 25%=21
A flu epidemic has hit a local day care facility.
The population of sick children is represented
in the equation below where P is the number
of sick children, and t is the number of days
since the first child was diagnosed. How
many days will it take for 50 children to catch
the flu?
P =
110
1+7e-0.22t
It will take 8 days for 50 children to catch the flu
How to determine the number of days?
The given equation states as follows:
P = 110/(1+7e⁻⁰²²ⁿ (Where n stands for t)
P = 110/(1+7e⁻⁰²²ⁿ = 2.2
7.e⁻⁰²²ⁿ = 2.2 - 1
7.e⁻⁰²²ⁿ = 1.2/7
0.22n = In (12/7)
n= 8.02
Recall that n=t
Therefore t = .02
Therefore time = 8 days
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Can someone please help me with this math problem? The math problem is listed in the picture, Thanks!
I can only use numbers, infinity symbols, etc.
You have to consider the following relation.
Answer:
Domain:
[tex] - \infty < x < \infty [/tex]
Range:
[tex] - 1 \le \: y < \infty [/tex]
Step-by-step explanation:
Domain:The Domain of a function is x values which are included in the graph. Sometimes x values will not be included because they cannot be defined at that point, but in this case the graph indicates that the graph continues to the right and left with no indication that there is an asymptote or it is undefined beyond the graph so we can assume it's defined for all real numbers. We can represent this in interval notation as:
[tex] - \infty < x < \infty [/tex]
Since if you plug in any real number, this inequality should be true.
Range:The range of a function is defined as y values which are on the graph, this is restricted when certain y values are not on the graph... but we can usually tell because functions will have a minimum/maximum. By looking at the graph it appears to reach a minimum at y = -1 and then on the right and left side is increasing, never going below this value, so the range can be defined as:
[tex] - 1 \le y < \infty [/tex]
Since the y values vary between -1 (including -1) and infinity... well that really just means there's no upper bound and it just keeps increasing and increasing.
Which pair of related inequalities can be graphed to find the solution set to 4*-7 <1?
O y<4*-7 and y < 1
Oy> 4*-7 and y < 1
O y<4*-7 and y> 1
O y> 4*-7 and y> 1
Answer:
The second one :( y> 4x - 7) and y<1
Classify this triangle by its sides and angles.
A.) acute and isosceles, but not equilateral
B.) obtuse and isosceles, but not equilateral
C.) obtuse and equilateral
D.) acute and equilateral
correct answer must be (a) acute and Isosceles but not equilateral because triangle has two equal side and all angle is less than right angle 90°
answer - (A)
Solve for x...............
[tex]\bf 4x+6=14[/tex]
The mean number of pets owned by the population of students at a large high school is 3.2 pets per student with a standard deviation of 1.7 pets. A random sample of 16 students will be selected and the mean number of pets for the sample will be calculated.
What is the mean of the sampling distribution of the sample mean for samples of size 16 ?
a. 1.7
b. 3.2
c. 3.216√ (The fraction 3. 2 over the square root of 16)
d. 1.716√( The fraction 1. 7 over the square root of 16)
The sampling distribution of the sample mean for samples of size 16 is made up of V3.2 pets, which is the same as the average number of pets owned by the population of high school students.
We use sampling distribution because...
The sampling distribution is the probability distribution of a statistic obtained from a larger sample size drawn from a particular population. The sampling distribution of a particular population is the frequency distribution of a set of possible outcomes for a population statistic.The sampling distribution is the probability distribution of a statistic that is created by drawing numerous samples from a particular population. Researchers use sample distributions to simplify the statistical inference process.A large high school's student population has an average of 3.2 pets per student, with a standard deviation of 1.7 pets. A random sample of 16 students will be selected, and the mean number of pets for the sample will be calculated in order to better understand this population.This will give us the sample mean for samples of size 16 and the mean of the sampling distribution.To determine this, we must first determine the standard error of the mean, which is the sample mean's standard deviation. This is calculated by multiplying the sample size (16) by the square root ofthe population standard deviation (1.7 pets), yielding a standard error ofthe mean.Learn more about Sampling distribution refer to :
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A fair die is rolled 5 times. What is the probability of having no 1 and no 2 among the rolls
Answer:
40%
Step-by-step explanation:
There are 5 options to roll: 1, 2, 3, 4, and 5.
This means you have a 1 out of 5 chance of rolling each number.
This question is asking for 1 AND 2, not just one number. So, we have a 2 out of 5 chance of rolling that, because 2 options are acceptable instead of just one number.
I'm not sure which form you are looking for, but 2 out of 5 is the same as saying 2/5. Most probability solutions are wanted as a percentage. To find that just solve 2/5, which is 0.4. Move the decimal to the right twice, and that is a 40% chance.
Is 0 infinite or no solution?.
No, 0 is neither an infinite solution nor no solution.
The solution x = 0 implies that the value 0 satisfies the equation, so there is a solution. “No solution” implies that there is no value, not even 0, which would satisfy the given equation.
Let us take an example for a more reasonable interpretation,
An example is the equations
² + 1 = 0 and
− 3 = 2 − 3
Suppose that is real.
The first equation has no solution, while the second equation has a solution = 0.
Hence, 0 can be a solution to a system of equations.
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What value makes the expressions equivalent? 8(-4x + 3) and - 14x + _ +(-18x)
The value that will 8(-4x+3) equivalent to -14x+ _+(18x) is 24
What are equivalent expressions?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
for example 2+ 3 and 4 + 1 are equivalent. The both have a value of 5.
Similarly;
8(-4x+3) , when the parentheses is opened, = -32x +24
Also
-14x -18x = -32x
Therefore the value of x that will make the two equation equivalent is 24
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What is an algebraic expression with more than 3 terms?.
An algebraic expression with more than 03 terms is known as Multinomial.
Multinomial Distribution:
In probability theory, the multinomial distribution is a generalization of the binomial distribution. For example, model the probability of counting on each side of a k-sided die n tosses. For n independent trials, each succeeds in exactly one of the k categories, and each category has a certain fixed probability of success. A multinomial distribution gives the probability for each particular combination of numbers of successes in different categories.
If k is 2 and n is 1, the multinomial distribution is Bernoulli. If k is 2 and n is greater than 1, the distribution is binomial. If k is greater than 2 and n is 1, the distribution is categorical. The term "multinoulli" is sometimes used for categorical distributions to emphasize this four-way relationship (hence n determines the prefix and k determines the suffix).
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What type of function is Y =- 2x 3?.
The type of the function y = -2x + 3 is a linear function.
Function in math is known as a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.
Here we have given that the function y = -2x +3 and here we need to identify the type of the function.
As we all know that the type of function called linear function is defined as a function that has either one or two variables without exponents.
While we consider the definition we have identified that the given function is is the linear function because in the given function there is no exponents in it so it can fall under the category of the function called exponents.
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what is the following product? Assume x>0 3root x^2 times 4 root x ^3
the product of the given expressions will be x([tex]x^{5/12}[/tex])
What is a fraction?
If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
[tex]x^{2/3}[/tex] * [tex]x^{3/4}[/tex]
= [tex]x^{2/3+3/4}[/tex]
=[tex]x^{17/12}[/tex]
=x([tex]x^{5/12}[/tex])
Hence the product of the given expressions will be x([tex]x^{5/12}[/tex])
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The side length of the square is 11 cm. The diameter of the circle is 14 cm. Find the area of the shaded region. Use . A 153.86153.86153.86 cm2 B 94.98594.98594.985 cm2 C 32.8632.8632.86 cm2 D 615.44615.44615.44 cm2
Answer:
32.9 cm^2
Step-by-step explanation:
In the absence of a diagram, lets use the one shown in the attached worksheet. The assumption is that the "blue areas" are the four sections of the circle that extend beyond the square boundaries. The approach is to calculate areas for both the circle and the square.
Square = (11 cm)^2 = 121 cm^2
Circle = (3.14)*(14/2 cm)^2 = 153,9 cm^2
Subtract the square from the circle. That removes all the circle area, except for the four sections outside the square. The result is 32.9 cm^2
HELP PLEASE THIS IS DUE IN 1 MINUTE!!!!!!!!
A sixth grade class is going on a field trip. The school is providing one sack lunch for each student. Each lunch has either a ham, turkey, or bologna sandwich along with either carrots or celery.
Identify which list below shows all the possible outcomes of sack lunches, and select the outcomes from that list that represent picking a ham or turkey sandwich with carrots if there are an equal number of each type of sack lunch and students are randomly selecting their lunch. Use this information to mark the probability on the number line.
The required probability has been shown on the number as illustrated in the figure.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
There are two veggies (carrots, and celery) and three types of meat (ham, turkey, and bologna),
This results in 3*2 = 6 distinct combinations of meat and a vegetable. Here, we are limited to choosing just one of each kind. List 2 shows the 6 different combinations. List 1 is inaccurate because you can only take one vegetable at a time and not both.
List 2 alternatives that state "ham, carrots" and "turkey, carrots" should be circled. Two things have been circled. This is one of a total of six.
Probability is given as,
= 2/ 6
= 1/3
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For each sequence below: (a) use a difference table to find a formula, then check your formula for a few values of n (b) use your formula to calculate the next three terms in the sequence. 3 14, 32, 60, 98, ...
helpp please
The subsequent three words in the list. 3 14, 32, 60, 98, ... is 276 . In this case, the order is 3, 14, 32, 60, 98, and 276.
How do you find the nth term formula?(a)An arithmetic sequence's nth term is determined by a = a + (n - 1)d in step 1. As a result, enter the given values for a and d into the formula to determine the nth term. Step 2: Now, change the nth term in the equation to n = 5 to determine the fifth term. Consecutive integers in an arithematic sequence often differ from one another. Simply subtract the first term from the second term to discover it, or the second term from the third, and so forth. Our shared difference is thus eight.(b)the subsequent three words in the list. 3 14, 32, 60, 98, ... is 276 . In this case, the order is 3, 14, 32, 60, 98, and 276.To learn more about Sequence refer to :
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The next three terms in the sequence are 79, 90, and 101.
What is sequence?An ordered group of numbers or items is referred to as a sequence.Since each element in a series has a particular place in the sequence, the order of the elements is crucial.Sequences can either have a finite or infinite number of words, meaning they can either end or continue eternally.A formula that can be used to determine any term in a series given its location can be used to characterize sequences.a) To find a formula for the sequence, we can use a difference table.
First, let's write out the first few terms of the sequence:
3, 14, 32, 60, 98, ...
Next, we'll create a difference table:
n | Term | Difference
1 | 3 |
2 | 14 | 11
3 | 32 | 18
4 | 60 | 28
5 | 98 | 38
We see that the difference is increasing by 10 each time, so our formula can be written as:
Term = 11n + 3
To check the formula, we can plug in a few values of n and see if it matches the terms in the sequence:
n = 1, Term = 11(1) + 3 = 14
n = 2, Term = 11(2) + 3 = 32
n = 3, Term = 11(3) + 3 = 60
The formula matches the terms in the sequence, so it is correct.
b) To find the next three terms in the sequence, we can use our formula:
n = 6, Term = 11(6) + 3 = 79
n = 7, Term = 11(7) + 3 = 90
n = 8, Term = 11(8) + 3 = 101
So the next three terms in the sequence are 79, 90, and 101.
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A frame designer is making a triangular frame. She has two sides of length 18 inches and 27 inches. What are the possible lengths for the third side?.
The possible lengths( in whole elevation) for the third side is
9 elevation< x< 45 elevation, i.e in between 9 and 45 elevation.
For the below question, we've a rule from the properties of triangle, the sum of the length of any two sides of the triangle must be lesser than the length of the third side.
Hence
She has two sides of length 18 elevation and 27 elevation
Let the third side = x
Hence
a) 18 27> x
45> x
b) 18 x> 27
x> 27- 18
x> 9
thus, the possible lengths( in whole elevation) for the third side is
elevation< x< 45 elevation
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5. City B has constructed their own subway system. The Green Line and the Orange Line run parallel to each other and the purple line runs perpendicularly to the Green Line and the Orange Line. The Silver Line intersects with the purple line and the green line at the same station. Angles 1 and 6 have the same measure. What is the measure of angle 9?
Answer:
135°
Step-by-step explanation:
Angles 1 and 6 have the same measure and sum to a 90 degree angle
so they are each 45°
Angles 1 and 4 are equal as well 45°
then angle 5 = 90 + 45 = 135 °
Angles 5 2 9 and 7 are all equal angle 9 = 135 °
Solve using substitution.
x = –3
x + 7y = 18
(, )
The value of y in the expression x + 7y = 18 when x = - 3 is 3.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
We know Substitution in mathematics is when we replace some specific numerical values with variables according to our wants or given in the problem.
Given, x = - 3 and x + 7y = 18.
Replacing x with - 3 in x + 7y = 18.
- 3 + 7y = 18.
7y = 18 + 3.
7y = 21.
y = 21/7.
y = 3
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