The area of the base of a cube with a volume of 216 cm³ is 36 cm², obtained by first calculating the side length as the cube root of the volume and then squaring that length.
The volume of a cube is calculated by raising the length of one of its sides to the third power (Volume = s³), where s is the length of a side. Given that the volume of the gift box is 216 cm³, we can find the length of a side by taking the cube root of the volume. The cube root of 216 cm³ is 6 cm, which is the length of each side of the box.
Since the base of the cube is a square, the area of the base is simply the length of a side squared (Base Area = s²). Hence, the area of the base of the box is 6 cm × 6 cm, which equals 36 cm².
x+46=4/5(360) need help solving
The high temperature in Fairbanks, Alaska was 15.7 °F one day. That night, the temperature fell 38.4 degrees. What was the low temperature for the night?
Enter your answer as a decimal
Answer:
The low temperature for the night was of -22.7 °F.
Step-by-step explanation:
As the high temperature during the day was 15.7 degrees, but it fell 38.4 degrees in the night, in order to know which was that temperature we have to do the following calculation:
15.7 - 38.4: X (Temperature for the night)
-22.7: X
The low temperature for the night was of -22.7 °F.
Answer:
-22,7 i took the test
Step-by-step explanation:
After m months, the height of a plant is 10+3m millimeters. How tall is the plant after eight months? Three years?
A company did a quality check on all the packs of trail mix it manufactured. Each pack of trail mix is targeted to weigh 9.25 oz. A pack must weigh within 0.23 oz of the target weight to be accepted. What is the range of rejected masses, x, for the manufactured trail mixes?
x < 9.02 or x > 9.48 because |x − 0.23| + 9.25 > 0
x < 9.25 or x > 9.48 because |x − 9.25| > 0.23
x < 9.25 or x > 9.48 because |x − 0.23| + 9.25 > 0
x < 9.02 or x > 9.48 because |x − 9.25| > 0.23
Answer:
The correct option is D) x < 9.02 or x > 9.48 because |x − 9.25| > 0.23
Step-by-step explanation:
Given:- Each pack of trail mix is targeted to weigh 9.25 oz. a pack must weigh within 0.23 oz of the target weight to be accepted.
We need to find out the correct range of rejected masses, X for the manufactured trail mixes
9.25 - 0.23 = 9.02 (It can't weigh less then this)
9.25 + 0.23 = 9.48 (It can't weigh more then this)
Since, rejected masses are : x < 9.02 and x > 9.48
Only option A and D has condition x < 9.02 and x > 9.48
In option A) |x − 0.23| + 9.25 > 0
this is wrong condition because it must be |x − 0.25|
For Option D)
Check:
modulus |x − 9.25| > 0.23 express as
- 0.23 > (x − 9.25) > 0.23
Add 9.25 in above ,
- 0.23 + 9.25 > (x − 9.25 + 9.25) > 0.23 +9.25
9.02 > x > 9.48
True
So, the correct option is D)
x < 9.02 or x > 9.48 because |x − 9.25| > 0.23
Simon has 12 CDs. He burns 3 copies of each. How many CDs did Simon make?
The crab nebula is a cloud of gas and dust particles in space that is expanding at a rate of 930 miles per second. What is its rate of expansion in miles per hour?
If a ray divides an angle into two complementary angles then the original angle is a right angle
Answer:
true
Step-by-step explanation:
Spencer orders 235 cans of tomatoes to make salsa for the festival. What is 235 rounded to nearest 10
In solving this problem, you should know the basic place values:
For example:
243. in this example, 200 is the hundreds, 40 is the tens and the 3 is the ones.
So for our problem, 235 if rounded off to the nearest tens, it would be 240. Since according to the rules if the ones is 5 and above, the number will be rounded off.
We round down if the ones is 4 and below.
The number 235 rounded to the nearest ten is 240.
1. Identify the digit in the tens place of the number: In 235, the digit in the tens place is 3.
2. Look at the digit to the right of the tens place: In 235, the digit to the right of 3 is 5.
3. Determine if the digit in the tens place rounds up or down: Since 5 is 5 or greater, we round up the digit in the tens place.
4. Replace the digits to the right of the tens place with zeros: When rounding to the nearest 10, we only consider the digit in the tens place and ignore the digits to the right of it. So, we replace the digits to the right of the tens place with zeros.
5. Increase the digit in the tens place by 1 if rounding up: Since we are rounding up from 3 to the next higher multiple of 10, the digit in the tens place becomes 3 + 1 = 4.
6. Combine the rounded tens place digit with the zeros: After rounding, the number becomes 240.
Therefore, 235 rounded to the nearest 10 is 240.
Which statement about the ordered pairs (3, −8) and (4, 4) is true for the equation 3x−y/4=11 ? incorrect answer: Neither ordered pair is a solution..(3, −8) is a solution to the equation but not (4, 4)
.
( 3, −8 ) is a solution to the equation but not ( 4, 4 ) .
Neither ordered pair is a solution.
Neither ordered pair is a solution.
Both ordered pairs are solutions.
Both ordered pairs are solutions.
(4, 4)
is a solution to the equation but not (3, −8) .
Answer:
both ordered pairs are solutions
Step-by-step explanation:
A tomato plant grew an average of 0.06 m per day. How many days did it take for the plant to grow a total of 0.96 m. Again, I'm super sorry
What is the perimeter of a triangle with sides of lengths 5, 8, & x?
13 + x
40 + x
40x
21
Andy used 1\6 of a can of paint to cover 1\2 of a wall. How much of the can of paint did Andy use to paint the whole wall? Express your answer in simplest form.
1/3 of the can of paint can be used to paint the whole wall if Andy used 1/6 of a can of paint to cover 1/2 of a wall.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that,
Andy used 1/6 of a can of paint to cover 1\2 of a wall.
Let x be the number of can of paint Andy use to paint the whole wall.
1/6 = 1/2 of the wall
2/6 = 2/2 = 1 whole wall
x = 2/6 = 1/3
Thus, 1/3 of the can of paint can be used to paint the whole wall if Andy used 1/6 of a can of paint to cover 1/2 of a wall.
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There are 9 counters in a bag.
7 of the counters are green.
2 of the counters are blue.
Ria takes a random two counters from the bag.
Work out the probability that Ria takes one counter of each colour.
You must show your working.
the circumference of a circular hot tub in a hotel is 56.5 yards.what is the diameter of the hot tub?
The difference between -7/9 and 4/9 is
Hello!
Your answer is
-1 2/9
Solve the equation for the red variable.
An airplane flies 2700 miles from Los Angeles to New York City. When the plane flies back to Los Angeles, is it flying in a negative direction? Use absolute value to justify your answer.
24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass? Question 7 options: A) 6% B) 75% C) 18% D) 25%
The percentage of students that do not pass will be 25%. Then the correct option is D.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
24 students in a class took an algebra test. If 18 students passed the test.
Then the percentage of the students that do not pass will be given as,
P = [(24 - 18) / 24] x 100
P = (6 / 24) x 100
P = 0.25 x 100
P = 25%
The percentage of students that do not pass will be 25%. Then the correct option is D.
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Graph the function y = |1.6x – 2| – 3.2. Over which interval is the function increasing?
(1.25, ∞)
(3.25, ∞)
(–∞, 1.25)
(–∞, 3.25)
The interval over which the function is increasing is:
(1.25,∞)
Step-by-step explanation:We are given a modulus function by:
[tex]y=|1.6x-2|-3.2[/tex]
From the graph of the function we see that the function is first decreasing in the interval (-∞,1.25) and then it increases continuously in the interval (1.25,∞) and goes to infinity.
Hence, the answer is:
(1.25, ∞)
Answer:
A. (1.25, ∞)
Step-by-step explanation:
explain how finding 7x20 is similar to finding 7x2,000. then find each product
Answer:
[tex]7\times 20=140[/tex]
[tex]7\times 2000=14000[/tex]
Step-by-step explanation:
To find : Explain how finding [tex]7\times 20[/tex] is similar to finding [tex]7\times 2,000[/tex] then find both products ?
Solution :
First we find the product of [tex]7\times 20[/tex]
[tex]7\times 20=140[/tex] .....(1)
Now, to find the product of [tex]7\times 2,000[/tex]
We can re-write the product as,
[tex]7\times 2,000=7\times 20\times 100[/tex]
Using (1),
[tex]7\times 2,000=140\times 100[/tex]
[tex]7\times 2,000=14000[/tex]
It is similar as the difference is about the multiple of 10.
If the parent function is f(x) =x^2 and its transformed fuction is g(x)=2(x-1)^2
$1.12 for 8.2 ounces? Unit Rate
Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of elevation of 32. At the same time, the pilot radios Charlie and reports the plane’s altitude is 1,700 feet. Charlie’s eyes are 5.2 feet from the ground. Find the ground distance from Charlie to the plane. Show how you know
the number below follow a pattern
300 30 3 0.3
part a answer is 0.03 0.003
part b
what is the relationship between the terms in the pattern?
Answer:
Part a) the next two numbers of the sequence is 0.03, 0.003
part b)
We get each successive terms, we get previous term divided by 10.
2nd term = 1st term ÷ 10
3rd term = 2nd term ÷ 10
4th term = 3rd term ÷ 10
Step-by-step explanation:
The given number are 300, 30, 3, 0.3
You can see that the previous number divided by 10 to get the next number.
So the next two numbers are
0.3 ÷ 10 = 0.03
0.03 ÷10 = 0.003
Part a) the next two numbers of the sequence is 0.03, 0.003
Part b.
We get each successive terms, we get previous term divided by 10.
2nd term = 1st term ÷ 10
3rd term = 2nd term ÷ 10
4th term = 3rd term ÷ 10
jude is incorrectly simplified the expression [1/2]^2 times 1/2 times [1/2]^3, as shown below.
[1/2]^2 x 1/2 x [1/2]^3= [1/8]^6 =1/262,144
describe the mistake that jude made. In your explanation , provide the correct way to simplify the expression
Jude incorrectly squared the common base (1/2) when she should have added the exponents. The correct simplification of (1/2) ² × 1/2 × (1/2) ³ is (1/2) ⁵, which equals 1/32.
Jude made a common mistake while simplifying the expression (1/2) ² × 1/2 × (1/2) ³.
Instead of combining the exponents correctly, Jude incorrectly assumed that raising the power of a power would simply entail squaring (1/8), thus ending up with (1/8) ⁶ which equates to 1/262,144.
However, the correct method to simplify the expression involves adding the exponents when multiplying the same base number.
The correct simplification would be (1/2) ⁵ because we have (1/2) ² (twice), then multiplied by 1/2 (once), and then by (1/2) ³ (thrice), so the sum of the exponents is 2+1+3=6.
Therefore, (1/2)⁵ equals 1/32.
Following the rules for powers and exponents ensures that we arrive at the correct mathematical solution.
Carly sold 18 rolls of wrapping paper. That is 2 times as many rolls as Jasmine sold, How many rolls of wrapping paper did they sell all together?
In this exercise we want to know how many rolls were sold by two people, so we have to:
27 rolls
To start the calculations we have to organize the information given in the text as:
Carly sold 18 rolls. Jasmine sold 9 rolls.So now solving this problem we have:
[tex]TOTAL: 18 + 9 = 27 rolls[/tex]
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At the beginning of the year, Jerome had a balance of $0 in his bank account. He later deposited $120 into the account and then withdrew $85 from it.
Which number sentence correctly compares the absolute values of the changes in Jerome’s bank balance?
A. |-$85| < |$120|
B. |-$85| < |-$120|
C. |$85| > |-$120|
D. |$0| > |$120|
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Inequalities help us to compare two unequal expressions. The correct option is A.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
At the beginning of the year, Jerome had a balance of $0 in his bank account. He later deposited $120 into the account and then withdrew $85 from it.
A value when substituted in the mode, then irrespective of its a positive value or a negative value, the output will be always positive, therefore, the output will be always positive.
Hence, the number sentence correctly compares the absolute values of the changes in Jerome’s bank balance is |-$85| < |$120|.
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Peter walks 3 minutes at a constant rate and travels 330 meters. If we graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is . If Peter walks for an hour, the point on the line that represents the distance he walks with respect to time is . NextReset
The point on the line that represents the distance Peter walks in an hour with respect to time is (60 minutes, 6600 meters).
What is the distance?Distance is defined as the product of speed and time.
The slope of the line representing the relationship between time and distance is the speed at which Peter is walking.
In this case, the slope is 330 meters / 3 minutes = 110 meters/minute. This means that Peter is walking at a speed of 110 meters per minute.
If Peter walks for an hour, the point on the line that represents the distance he walks with respect to time is (60 minutes, ?). To find the distance that Peter walks in an hour, we can use the formula for the distance traveled: distance = speed x time.
Plugging in the values, we get distance = 110 meters/minute x 60 minutes = 6600 meters.
Therefore, the point on the line that reflects Peter's walking distance in an hour in relation to time is (60 minutes, 6600 meters).
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Jesse wants to save the same amount of money each week for a trip. He needs $3,060. If the trip is 36 weeks away how much money should Jesse save each week?
A rectangular floor is 24 feet long and 9 feet wide. What is the area of the floor in square yards?