Final answer:
The expression –32 + (2 – 6)(10) evaluates to –72, by first calculating the operation within the parentheses, multiplying it by 10, and then adding it to –32.
Explanation:
To evaluate the expression –32 + (2 – 6)(10), we must follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Firstly, we calculate the value inside the parentheses (2 – 6), which equals –4. Then we multiply this value by 10 to get –40. Finally, we add the result to –32 which gives us –32 + (–40) = –32 – 40 = –72.
Final answer:
The expression –32 + (2 – 6)(10) evaluates to –372 after performing the operations inside the parentheses and then multiplying and adding as per the order of operations.
Explanation:
To evaluate the expression –32 + (2 – 6)(10), we start by performing the operation inside the parentheses first. We subtract 6 from 2, getting –34. Then we multiply this result by 10 to get –340.
Next, we add this result to –32: –32 + (–340) = –372. So the final answer to the expression is –372.
What percent of the first 10 natural numbers are prime numbers?
[tex]\boxed{{\mathbf{40\% }}}[/tex] of the first 10 natural numbers are prime numbers.
Further explanation:
The prime numbers are the numbers that is only divisible by 1 and itself and greater than 1.
Natural numbers are the numbers that is easily countable as their successors can be defined and its starts from 1.
The natural number can be expressed as,
[tex]1,2,3,4,5,6,7,8,9,10 \ldots[/tex]
Step by step explanation:
Step 1:
First determine the first ten natural numbers.
[tex]1,2,3,4,5,6,7,8,9,10[/tex]
Step 2:
Now determine the prime numbers among the first ten natural numbers.
The prime numbers among the first ten natural number are [tex]2,3,5,7[/tex].
Therefore, there are 4 prime numbers.
Step 3:
Now, find the percentage of the first 10 natural numbers are prime numbers.
In general the percentage of any number can be calculated as,
[tex]{\text{percent of }}x = \dfrac{x}{{{\text{total number}}}} \times 100[/tex]
The percentage of the prime numbers can be calculated as,
[tex]\begin{aligned}{\text{percent of prime number}}& = \frac{4}{{{\text{10}}}} \times 100\\ &= 40\% \\\end{aligned}[/tex]
Therefore, [tex]40\%[/tex] of the first 10 natural numbers are prime numbers.
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Percentage
Keywords: Integers, expression, natural numbers, prime numbers, percentage, denominator, numerator, fractions, divisible, total number, the required number
Nia has number cards for 2,3,8,9 and 5. What are all the different ways Nia can arrange the cards to show only even numbers with the 2 in the ten- thousands place?
Explain how you can find 4 × 754 using two different methods
What's 307, 407 rounded to the nearest thousand?
xm-2m if x=-2 and m=-3
xm-2m
x=-2, m = -3
xm = -2 *-3 = 6
2m = 2*-3 = -6
6- -6 = 6+6 = 12
What is the equation of the circle shown in the graph
Answer: its the third option
It takes 23 minutes for 6 people to paint 6 walls. How many minutes does it take 9 people to paint 9 walls?
Answer:
23
Step-by-step explanation:
Imagine that each person is assigned one wall, and all 6 people begin painting at the same time.
Since everyone will finish painting their assigned wall after 23 minutes, it takes one person 23 minutes to paint one wall.
If we have 9 people and 9 walls, we can again assign one wall to each person.
Everyone will take 23 minutes to paint their assigned wall.
In other words, it takes 23 minutes for 9 people to paint 9 walls.
What is 25 divided by 28
The solution after divide is,
⇒ 0.893
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
To divide the numbers,
⇒ 25 divided by 28
Now, We can divide the numbers as;
⇒ 25 divided by 28
⇒ 25 ÷ 28
⇒ 25 / 28
⇒ 0.893
Thus, The solution after divide of the numbers is,
⇒ 0.893
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what all fractions are equivalent to 1.27 repeating
What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linear function.
Tony says that 4,400 is halfway between 4,000 and 5,000.is he correct?why or why not?
Tony is not correct. The midway point between 4,000 and 5,000 is found by calculating the average of the two numbers, which is 4,500. Therefore, the halfway point is 4,500, not 4,400.
Explanation:Tony states that 4,400 is halfway between 4,000 and 5,000. To determine if Tony is correct, we need to find the midpoint between the two numbers. The midpoint can be found by adding the two numbers together and dividing by 2:
(4,000 + 5,000) / 2 = 9,000 / 2 = 4,500.
Therefore, the exact halfway point between 4,000 and 5,000 is 4,500. This means that Tony's assertion that 4,400 is halfway between these two numbers is not correct; the correct halfway point is actually 4,500.
No, Tony is not correct. Halfway between 4,000 and 5,000 would be the average of the two numbers, which is 4,500.
Explanation:No, Tony is not correct. Halfway between 4,000 and 5,000 would be the average of the two numbers. To find the average, we add the two numbers together and divide by 2. In this case, the average of 4,000 and 5,000 would be (4,000 + 5,000) / 2 = 9,000 / 2 = 4,500. Therefore, 4,400 is not halfway between 4,000 and 5,000.
Solve (1-sin(x))(1+sin(x))
You can buy DVDs at a local store for $15.49 each. You can buy them at an online store for $13.99 each plus $6 for shippimg. How many DVDs can you buy for the same amount at the two stores
To find out how many DVDs you can buy for the same price at both stores, you create a formula incorporating the cost per DVD and the shipping cost at the online store. Solving this equation will give you the number of DVDs where the cost will be equal at both stores. However, this might not always result in a whole number, indicating that there is no exact count of DVDs resulting in the same cost.
Explanation:To determine how many DVDs you can buy for the same amount at both stores, you can set up a mathematical equation accounting for the cost of each DVD and the shipping cost in the online store. The equation would look like this:
15.49 x = 13.99 y + 6
where x and y represent the number of DVDs bought from the local and online store respectively. By solving this equation we're finding out for which number of DVDs the total costs at both stores are equal.
To find the exact number of DVDs where the total cost will be the same, the equation needs to be solved for a whole number. This may result in no exact integer solution, showing that there's no exact number of DVDs for which the cost will be the same at both stores.
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what is 5/6 divided by 1/12
Stacy made a deposit of $8,500.00 into an account. After ten years, the account had earned $5,525.00 in interest. What simple interest rate did the account earn?
find the GFC of 18a and 20ab
If an equation is an identity, then how many solutions does it have?
Infinite is the answer
Write 15 is no more than a number T divided by 5 as an inequality ( great than less than...)
The inequality representing '15 is no more than a number T divided by 5' is written as 15 <= T/5, which means T divided by 5 should be greater than or equal to 15.
The phrase '15 is no more than a number T divided by 5' can be translated into an inequality. When we interpret 'no more than', it means 'less than or equal to'. Therefore, the statement can be translated into the inequality 15 <= T/5. This expresses that when you divide the number T by 5, the result should be at least 15 or any value less than 15. The interpretation of "no more than" as "less than or equal to" clarifies the inequality's meaning, emphasizing that the resulting quotient from dividing T by 5 should not exceed 15. Thus, the inequality encapsulates the relationship between the number 15 and T when considering their division by 5.
Fifteen people volunteer for a park cleanup. The number of volunteers increases by 7 people each month for several months. After how many months will there be 50 volunteers
Find the slope at tangent line f(x)=(3/2)x+1 at (-2,-2)
If the manager at first city bank surveys a sample of 100 customers to determine how many miles they live from the bank, is the mean travel distance for this sample considered a parameter or a statistic? explain.
The mean travel distance for the sample of 100 customers surveyed by the manager at First City Bank is considered a statistic.
Explanation:The mean travel distance for the sample of 100 customers surveyed by the manager at First City Bank is considered a statistic.
In statistics, a parameter is a numerical characteristic of the whole population that can be estimated by a statistic. Since the manager is surveying only a sample of customers, the mean travel distance calculated from this sample is a statistic, not a parameter.
For example, if the manager had surveyed all customers of First City Bank, then the mean travel distance calculated from that data would be a parameter.
In 2012, the average donation to the help way was $225 with a standard deviation of $45. in 2013, the average donation was $400 with a standard deviation of $60. in which year did the donations show a more dispersed distribution?
Final answer:
The donations in 2012 had a more dispersed distribution than in 2013, as indicated by a higher coefficient of variation of 20% compared to 15% in 2013.
Explanation:
To determine which year had a more dispersed contribution distribution, we examine the coefficient of variation (CV), which is calculated by dividing the standard deviation by the mean and then multiplying by 100 to express it as a percentage. A higher CV indicates a more dispersed distribution.
For 2012:
Mean = $225Standard Deviation = $45CV = ($45 / $225) x 100 = 20%For 2013:
Mean = $400Standard Deviation = $60CV = ($60 / $400) x 100 = 15%Comparing the coefficients of variation, we can conclude that the donations in 2012 had a more dispersed distribution than in 2013 since the CV in 2012 was higher.
Mitchell deposited $651.37 in a savings account that earns 3.9% simple interest what is Mitchell's account balance after 15 years?
How do you write 15 cubed in exponential notation
please tell me hown in thw world in the answer key this is 0.45
Each side of a square is increasing at a rate of 3 cm/s. at what rate is the area of the square increasing when the area of the square is 16 cm2?
Answer:
The rate of the area increasing for square is 24cm²/ s
Rate of increasing side ?
Changing the length of side with respect to time is the rate of increasing side .
Given each side of square is increasing at a rate 3cm/s.
Area of square = sides²
Side length = a
(dA/dt) = (dA/da)×(da/dt) { chain rule of differentiation}
Differentiation of area w.r.t. t is
dA/da= 2a (da/dt)
dA/dt = 2a *(da/dt)
da/dt = 3 cm/s
When A=16 cm²
16 = a²
a= 4
(dA/dt) = 2x4 x 3
= 24 cm²/ s
Hence, the rate of the area increasing for square is 24cm²/s
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When does the proportion form of newton's second law take the form of an equation?
The proportion form of Newton’s second law is when finding the acceleration of a problem as this is the equation suitable of finding the acceleration and to be able to compute the missing answer to the problem. In the form of the equation, it is ‘a + f / m’.
The s/n ration for a set of 50 measurements is 10. what number of measurements would make the s/n ratio 5
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