Which expression is equal to
3√20 x 4√32
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Lets simplify ~
\(\qquad \sf \dashrightarrow \: 3 \sqrt{20} \times 4 \sqrt{32} \)
\(\qquad \sf \dashrightarrow \: 12 \sqrt{20 \times 32} \)
\(\qquad \sf \dashrightarrow \: 12 \sqrt{2 {}^{2} \times 5 \times 2 {}^{4} \times 2 } \)
\(\qquad \sf \dashrightarrow \: 12 \sqrt{2 {}^{6} \times 10} \)
\(\qquad \sf \dashrightarrow \: 12 \times {2}^{3} \sqrt{10} \)
\(\qquad \sf \dashrightarrow \: 12 \times 8 \sqrt{10} \)
\(\qquad \sf \dashrightarrow \: 96 \sqrt{10} \)
\(0.15 \times 0.3\)
You have discovered that you have two Twizzlers have some really interesting properties.
When lit on fire, each Twizzler will burn for exactly 1 hour.
The rate of burning is NOT constant – different parts of each Twizzler burn at different rates,
AND each Twizzler burns at a rate different from the other.
You need to use these two Twizzlers to measure EXACTLY 45 minutes. How do you do it?
UIT
10S
Interesting question but CHALLENGE ACCEPTED
Since we know that with one flame the Twizzler will burn for 1 hour, with two Twizzler should burn for 30 minutes
So to start off, you light one Twizzler at both ends and the other twizzler only at one end simultaneously and
Once the Twizzler with both flames has burned out we know 30 minutes have elapsed and we only have 30 more minutes left on the other Twizzler
At this exact moment, we light the unlit end of the remaing Twizzler to half its remaing 30 minutes to exactly 15 minutes.
This means when this Twizzler burns out in exactly 45 minutes
*LAUGHS IN GENIUS*
find the equation perpendicular to the line y=2x-2 and passing through (-3 5)
Answer:
wow sry this is a tuff one :(
Step-by-step explanation:
he Bishop family celebrated a birthday by dining out at a local restaurant. Their bill was $97.45. Mr. Bishop would like to leave a 18 percent tip at the table for the server. What is the total amount that the family will pay for the dinner? Round to the nearest cent if necessary
Answer: it is 114.99
Step-by-step explanation:
Answer:114.99
Step-by-step explanation:
A password contains exactly 7 letters. How many passwords are possible if letters cannot be used more than once
If the password contains exactly 7 letters and letters cannot be used more than once, the number of possible passwords will be the number of ways to choose 7 letters out of the total 26 letters in the alphabet without repetition.
To find out the number of ways to choose 7 letters out of the total 26 letters in the alphabet, we will use the formula for combinations without repetition which is given as, C(n,r) = n! / (r!(n-r)!), where n is the total number of objects, r is the number of objects to be chosen from n and ! is the factorial.
Let's put the values, n = 26 and r = 7C(26,7) = 26! / (7!(26-7)!) = 26! / (7!19!) = (20*21*22*23*24*25*26) / (1*2*3*4*5*6*7)The above expression can be simplified as follows: (20*21*22*23*24*25*26) / (1*2*3*4*5*6*7) = 20*23*25*13 = 149500
Summary: There are 149500 possible passwords of 7 letters from a total of 26 letters if letters cannot be used more than once.
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1482 + 936 + 518 + 8064
Answer:
1482+936+518+8064=11000
Step-by-step explanation:
Hope it help ^_^
Hi there!
~
\(1482 + 936 + 518 + 8064 = 11000\)
Hope this helped you!
davis & theo hang pictures using their nails. Davis has a 3/4-inch nail. Theo has a 3/8-inch nail. How much longer is Davis's nail than Theo
The denominators of fractions that are the same are known as common denominators. Think about the following instances: 1/2 + 1/2 = 1 and 3/4 + 1/4 = 1 Since the fractions' denominators are the same in both instances, it is simple to calculate the solution.
According to the given information :Davi's nail is 3/4 inch long, and Theo's nail is 3/8 inch long. To find how much longer Davis's nail is than Theo's, we need to subtract the length of Theo's nail from the length of Davis's nail:
3/4 inch - 3/8 inch
To subtract these fractions, we need to find a common denominator. The smallest common denominator for 4 and 8 is 8, so we need to convert the fractions:
3/4 inch = 6/8 inch
3/8 inch = 3/8 inch
Now we can subtract:
6/8 inch - 3/8 inch = 3/8 inch
Therefore, Davis's nail is 3/8 inch longer than Theo's nail.
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a pe class has 48 4848 students. one group of 24 2424 students chooses to play volleyball. the teacher then divides the remaining students into as many groups of 5 55 as possible to shoot baskets. after that, the remaining students (not on a volleyball or basketball team) climb the rock wall.
In this PE class with 48 students, one group of 24 students decides to play volleyball, leaving 24 students who will be shooting baskets. The teacher then divides the remaining 24 students into as many groups of 5 as possible, which results in 4 groups. Each group will have 5 students, and one student will be left without a group.
In this scenario, there are 48 students in the PE class. One group of 24 students chooses to play volleyball, leaving 24 students (48 - 24 = 24) remaining. The teacher then divides the remaining students into as many groups of 5 as possible to shoot baskets.
To determine how many groups of 5 can be formed, we'll divide the remaining students by 5:
24 ÷ 5 = 4 (with a remainder of 4)
So, the teacher can create 4 groups of 5 students each for shooting baskets. This accounts for 20 students (4 groups x 5 students = 20).
Since there were 24 students remaining after the volleyball group, and 20 of those students have been assigned to basketball groups, we're left with 4 students (24 - 20 = 4) who will climb the rock wall.
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Jenny wants to know the perimeter of the bottom of her tent. It is a rectangle with side lengths of 11 ft. And 7 ft. Which is the perimeter of the bottom of her tent?
Answer:
36 ft.
Step-by-step explanation:
11+11+7+7=
22+14= 36
Answer:
36 ft
Step-by-step explanation:
The rectangle's sides lengths are 7 ft and 11 ft, wich are the width and the length.
The formula of the perimeter is:
P= 2w+2L with w the width and L the length
P= 2*7+2*11
P= 14+22
P= 36 ft
The perileter is 36 ft
Calculate the angle of inclination, to the nearest tenth of a degree, of a road with a grade of 19%. a.79.0° b.79.2° c.10.8° d.11.0°.
The angle of inclination of a road with a grade of 19% is approximately 10.8 degrees, which is calculated by using the inverse tangent formula in trigonometry.
The correct answer is C).
Explanation:The angle of inclination, or grade, in terms of percentage, represents the rise (vertical distance) over the run (horizontal distance). The measure of the angle of inclination in degrees can be found by using the inverse tangent (tan-1) formula in trigonometry. To be specific, if a road has a 19% grade, it means for every 100 units (meters, feet, etc.) of horizontal distance, there is a 19 unit rise in vertical distance.
An angle θ can be calculated using tan-1(rise/run) = tan-1(19/100).
When you compute this, θ equals approximately 10.8 degrees.
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consider the relationship below given pi/2<0
sin(x) is a mathematical function that calculates the sine of angle x, where x is in radians.
In mathematics, angles are measured in radians or degrees. The symbol π represents the mathematical constant pi, which is approximately equal to 3.14159.
When we say π/2, it means half of the circumference of a circle, which corresponds to 90 degrees.
The inequality "π/2 < 0" suggests that π/2 is less than zero, implying that the angle of 90 degrees is negative. However, this is incorrect.
In the standard coordinate system, angles are measured counterclockwise from the positive x-axis.
Thus, π/2 or 90 degrees lies in the positive direction. The correct relationship should be "π/2 > 0" to indicate that the angle is greater than zero.
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Bartek was trying his best to obtain an average of 80% in his SUCCESS101 class. During the term Bartek scored 90% on his first assignment thatwas worth 12% of the course final mark. The second assignment, which was worth 20%, Bartek scored only 68%. On his mini-project, worth 5%,Bartek scored 87%. What was Bartek's current grade thus far? Round answer to the one. Do not input the percent (%) into the answer.
Answer:
\(77.7\text{ \%}\)Explanation:
Here, we want to get the current grade
The total grade worth that he has worked on is:
\(\text{ 12\% + 20\% + }5\text{\% = 37\%}\)Now, let us calculate how much of these points he has:
For the 20% worth, he has:
\(\frac{68}{100}\times\text{ 20\% = 13.6 \%}\)For the 12%, we have:
\(\frac{90}{100}\times\text{ 12= 10.8\%}\)For the 5%, he scored 87%, we have it that:
\(\frac{87}{100}\times\text{ 5\% = 4.35\%}\)The total he has now is:
\(4.35\text{ + 10.8 + 13.6 = 28.75\%}\)What this mean is that he has amassed 28.75% out of the total 37%
Now, let us get this percentage
Mathematically, that would be:
\(\frac{28.75}{37}\times\text{ 100 \% = 77.7 \%}\)HELP IM TIMED!(giving 50 points)
Substitute and to determine if the two expressions are equivalent.
Which statements are true? Select the three correct answers.
3(2t+5). 6t+15
The value of both expressions when t=3 is 33.
The value of both expressions when t=3 is 23.
The value of both expressions when t=6 is 41.
The value of both expressions when t=6 is 51.
The two expressions are equivalent.
The two expressions are not equivalent.
Answer:
A and D and E
Step-by-step explanation:
Substitute the variable(in this case) t for 3, then use the order of operations to simplify(PEMDAS), which will give you 33 for both expressions. To see if two expressions are equivalent, you need to substitute the variable for an odd number AND an even number, so next, substitute the variable t for the number 6, which will give you 51 for both expressions. That means the expressions are equivalent
Hope this helps :)
P.S. Mark brainliest pls
Answer:
A, D, EStep-by-step explanation:
Given expressions:
3(2t + 5) and 6t + 153(2t + 5) = 3(2t) + 3(5) = 6t + 15, the expressions are equivalentThe value of both expressions when t=3 is 33.
6*3 + 15 = 18 + 15 = 33CorrectThe value of both expressions when t=3 is 23.
IncorrectThe value of both expressions when t=6 is 41.
6*6 + 15 = 36 + 15 = 51IncorrectThe value of both expressions when t=6 is 51.
CorrectThe two expressions are equivalent.
CorrectThe two expressions are not equivalent.
Incorrectlindsey and a few of her friends wanted to have a pizza delivered to her home while they studied for Mid-Terms exam. If the pizza has 8 slices and the total cost was 30.80, how much should lindsey ask her friends to pay for each slice?
If you can please show a pic of the example need help for test
The amount Lindsey asks her friends to pay for each slice is $3.85.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of slices in the pizza = 8
The total cost of the pizza = $30.80
The cost of each slice.
= 30.80/8
= $3.85
Thus,
The cost of each slice is $3.85.
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(8gh)^2 Simplify the expression.
What is the square root of 178
Answer:
√178 = 13.3416640641
:-))
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Macy’s was offering a Memorial Day sale. The price of a shirt is now $21.25. The original price was $25. What is the percent of change from the original to the sale price?
Answer:
The original price drops by 15%.
Step-by-step explanation:
What was the drop in price? To answer that, subtract $21.25 from $25, which results in $3.75.
Now compare $3.75 to the original price, $25, through division, as follows:
$3.75
-------------- * 100% = 15%
$25
The original price drops by 15%.
after sampling a column of water from the surface to a depth of 3000 meters (nearly 10,000 feet), a colleague aboard an oceanographic research vessel tells you that the water column is isopycnal. what does this mean? what conditions create such a situation? what would have to happen in order to create a pycnocline?
Is the question ''how many cars were sold each day this month'' statistical or not?
Answer the following:
a.Find the uniform continuous probability for P(X < 10) for U(0, 50). (Round your answer to 2 decimal places.)
b.Find the uniform continuous probability for P(X > 595) for U(0, 1,000). (Round your answer to 3 decimal places.)
c.Find the uniform continuous probability for P(21 < X < 49) for U(19, 68). (Round your answer to 4 decimal places.)
a. The probability P(X < 10) is U(0, 50) is 0.20.
b. The probability P(X > 595) is U(0, 1,000) is 0.405.
c. The probability P(21 < X < 49) is U(19, 68) is 0.4762.
a. For a uniform continuous distribution U(0, 50), the probability of an event X < 10 can be calculated by dividing the length of the interval [0, 10] by the length of the entire interval [0, 50]. Since the lengths of both intervals are equal, the probability is 10/50 = 0.20.
b. Similarly, for a uniform continuous distribution U(0, 1,000), the probability of an event X > 595 can be calculated by dividing the length of the interval [595, 1,000] by the length of the entire interval [0, 1,000]. The length of the interval [595, 1,000] is 1,000 - 595 = 405, and the length of the entire interval is 1,000 - 0 = 1,000. Thus, the probability is 405/1,000 = 0.405.
c. For a uniform continuous distribution U(19, 68), the probability of an event 21 < X < 49 can be calculated by dividing the length of the interval [21, 49] by the length of the entire interval [19, 68]. The length of the interval [21, 49] is 49 - 21 = 28, and the length of the entire interval is 68 - 19 = 49. Therefore, the probability is 28/49 = 0.5714.
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Which equation represents the line shown on the graph? y=-2x у y = 2x 1 y = -x + 2 x -3-2-1 1 2 3 -2 -3 y = x + 2
Answer:
y = x + 2
Slope = rise / run
= 2 / 2 (or 1 bc 2 divided by 2 is 1)
The plotted point on the x axis is on 2
y = x + 2
Mr. Peasley wrote an expression that is equivalent to
20 ÷ 1 + 4 on the board. Which expression could be the one Mr. Peasley wrote?
Responses
A 3 • 12 – 3 • 43 • 12 – 3 • 4
B 36 ÷ 3 • 2 + 1 36 ÷ 3 • 2 + 1
C 5 • 6 + 2 • 3 ÷ 2 • (1 + 5)5 • 6 + 2 • 3 ÷ 2 • (1 + 5)
D 6 + 6 • (10 + 2)
20 ÷ 1 + 4 on the board is 36 ÷ 3 • 2 + 1 36 ÷ 3 • 2 + 1.According to the order of operations, you should execute addition and subtraction last and multiply and division first, proceeding from left to right
How can addition, subtraction, multiplication, and division be calculated?According to the order of operations, you should execute addition and subtraction last and multiply and division first, proceeding from left to right. Divide and multiply from left to right as you continue. After that, add and subtract starting from the left.Remind them, if necessary, that addition and subtraction occur after multiplication and division in the order of operations.Mathematics has created standards (agreements) for how we interpret mathematical expressions in order to avoid these and other potential ambiguities. A writer who intended the contrary interpretation would have to write the sentence differently: 10 (5 2). One of these conventions stipulates that when all of the operations are the same, we go left to right. Therefore, 10 5 3 = 2.To learn more about mathematical expressions refer to:
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What else would need to be congruent to show that ASTU AJKL by SAS?
The missing information for the SAS congruence theorem is given as follows:
B. SU = JL.
What is the Side-Angle-Side congruence theorem?The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.
The congruent angles for this problem are given as follows:
<S and <J.
Hence the proportional side lengths are given as follows:
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Benny bought 4 new baseball trading cards to add to his collection. The next day his dog ate half of his
collection. There are now only 24 cards left.
How many cards did Benny start with?
how to solve 5x-3y= -73x+3y= - 9
ok
5x - 3y = -7
3x + 3y = -9
This is a system of equations, here we need to find the value of x and y.
There are several methods to find x and y.
-Elimination
-Substitution
-Equality
-Graphing
-Determinants
Finding y by elimination
5x - 3y = -7
3x + 3y = -9
8x = -16
8x = -16
x = -16/8
x = -2
Find y
5(2) - 3y = -7
10 - 3y = -7
-3y = -7 - 10
-3y = -17
y = 17/3
Result
x = -2 y = 17/3
write the equation
i’ll give a BRAINIST & 20 POINTS:)
Answer:
y=5/2x-16
Step-by-step explanation:
First, we want to find the slope of the original line.
m= -4+8/-1-9
m= 4/-10
m= -2/5
Because we want the perpendicular bisector, we will need the slope to be the opposite reciprocal. Therefore, our slope is
m=5/2
Now, we want to find the midpoint of the line.
9-1/2
8/2=4
-8-4/2
-12/2= -6
So, the midpoint is (4,-6)
Using the information we have, we now can find b.
-6=5/2(4)+b
-6=10+b
-16=b
That gives us our equation
y=5/2x-16
For problems 7−9, use the following: a pair of fair dice are rolled. 7. Find the probability that the sum is at most 5. 8. Find the probability that the sum is a multiple of 2 or a multiple of 3. 9. Find the probability that the sum is at least 4. 10. Find the probability that the sum is not an even number.
For problems 7-9, a pair of fair dice is rolled. In 7 the probability is 5/36. In 8 the probability 1/2. In 9 the probability 11/12. In 10 the probability 17/36.
7. Find the probability that the sum is at most 5.To solve this, let's find the possible outcomes that can result in a sum of 5 or less.
The possible outcomes are: {(1, 1), (1, 2), (2, 1), (1, 3), (3, 1)}
Total number of outcomes: 6 × 6 = 36
So, the probability that the sum is at most 5 is: (5 outcomes) / (36 total outcomes) = 5/36.
8. Find the probability that the sum is a multiple of 2 or a multiple of 3.To solve this, let's find the possible outcomes that can result in a sum that is a multiple of 2 or 3.
The possible outcomes are: {(1, 1), (1, 3), (1, 5), (2, 2), (2, 4), (2, 6), (3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (4, 6), (5, 1), (5, 3), (5, 5), (6, 2), (6, 4), (6, 6)}
Total number of outcomes: 6 × 6 = 36
So, the probability that the sum is a multiple of 2 or a multiple of 3 is: (18 outcomes) / (36 total outcomes) = 1/2.
9. Find the probability that the sum is at least 4.To solve this, let's find the possible outcomes that can result in a sum of 4 or greater.
The possible outcomes are: {(1, 3), (1, 4), (1, 5), (1, 6), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
Total number of outcomes: 6 × 6 = 36
So, the probability that the sum is at least 4 is: (33 outcomes) / (36 total outcomes) = 11/12.
10. Find the probability that the sum is not an even number. Let's find the possible outcomes that can result in an odd number sum.
The possible outcomes are: {(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5)}
Total number of outcomes: 6 × 6 = 36
So, the probability that the sum is not an even number is: (17 outcomes) / (36 total outcomes) = 17/36.
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A data set contains three unique values. Which of the following must be true?
mean = median
median = midrange
median = midrange
none of these
If a data set contains three unique values, none of the given statements must be true.
The mean is the average of a data set, calculated by summing all values and dividing by the number of values. In a data set with three unique values, the mean will not necessarily be equal to the median, which is the middle value when the data set is arranged in ascending or descending order.
The median is the middle value in a data set when arranged in order. With three unique values, the median will not necessarily be equal to the midrange, which is the average of the minimum and maximum values in the data set.
Therefore, none of the statements "mean = median," "median = midrange," or "median = midrange" must hold true for a data set with three unique values.
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In ANOP, the measure of
Answer:
37
Step-by-step explanation:
delta math gave me the answer ;)