The surface area to be covered by the label is 904.32 mm²
Assuming the shape of the battery is cylindrical.
The dimensions of the cylindrical battery:
radius r = 4 millimeters
height h = 32 millimeters
We know that the formula for the surface area of cylinder is:
A = 2πrh + 2πr²
where r is the radius of the cylinder and h is the height of the cylinder
Using this formula of surface area of cylider, the surface area to be covered by the label would be,
A = 2πr(h + r)
A = 2π × 4 × (32 + 4)
A = 2 × 3.14 × 4 × 36
A = 904.32 mm²
Thus, the required area = 904.32 sq. mm.
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the scale factor of two similar solids is 2:5. the volume of the smaller solid a is 200. which equation could you use to find the volume of the larger solid b
The volume of larger solid represented by b is 3125.
The scale factor of two solids will be equal to the following formula -
volume of solid a/volume of solid b = solid a³/solid b³
Keep the values in formula to find the volume of solid b
200/ volume of solid b = 2³/5³
Rewriting the equation according to volume of solid b
Volume of solid b = 5³ × 200/2³
Performing multiplication with cube of 5
Volume of solid b = 125 × 200/8
Volume of solid b = 25000/8
Performing division on Right Hand Side of the equation
Volume of solid b = 3125
Hence, the volume of solid b is 3125.
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In paragraph 8, how does the power of the old oak tree support a theme of the story? Use two
details from the story to support your response.
Two details are that support the response:
Now it happened there was a certain carpenter who bitterly mourned the loss of his beloved forests.He even gave his family the name Van Eyck (pronounced "Ike"), as yck is Dutch for "oak"What is the spirituality of an oak tree?The oak is revered as a cosmic repository of knowledge represented by its imposing might. It develops at its own pace, gradually yet steadily. Due of its size and longevity, oak is frequently connected with dignity, nobility, and knowledge as well. Since the very beginnings of human interaction with oaks, a highly potent symbolic picture of oaks has emerged, in which these trees have come to be connected with immortality, power, consistency, perseverance, fertility, justice, and honesty.
Two responses are:
Now it happened there was a certain carpenter who bitterly mourned the loss of his beloved forests.He even gave his family the name Van Eyck (pronounced "Ike"), as yck is Dutch for "oak"To know more about oak refer to:
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a six-sided number cube numbered 1 through 6 was tossed 150 times. the results are shown in the table. number cube results,. number,. frequency,. 1,. 16,. 2,. 28,. 3,. 24,. 4,. 15,. 5,. 37,. 6,. 30,. what is the experimental probability that the next toss will result in an odd number?
The experimental probability of getting an odd number on the next toss is 51.3%.
Probability is a measure of the likelihood of an event occurring. In the case of the six-sided number cube, the theoretical probability of getting an odd number on any one roll is 3 out of 6, or 1/2, or 50%. However, this is a theoretical value and may not match the actual results obtained from a set of experiments.
The experimental probability of an event is calculated by observing the actual results of a series of trials and comparing it to the number of possible outcomes. In this case, the number cube was tossed 150 times and the results were recorded in the table. The frequency of the odd numbers (1, 3, and 5) was found to be 77.
The experimental probability of getting an odd number on the next toss can be calculated by dividing the frequency of the odd numbers by the total number of tosses, which is 150. 77/150 = 0.513 or 51.3%.
Therefore, the experimental probability of getting an odd number on the next toss of the six-sided number cube is 51.3%.
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Nina is putting equal amounts of oatmeal into 4 containers. She has 37.6 ounces of oatmeal. How many ounces of oatmeal should she put in each container?
Answer:
9.4 ounces of oat meal
Step-by-step explanation:
37.6 x 10 = 376
4 x 10 = 40
we do this to get rid of the decimal
376/40=188/20=94/10=47/5=9(2/5)=9.4 ounces of oat meal
Lyla's kite spool had 80 yards of string. She let out 40 feet. Then the kite continued to rise, using another 12 yards of string. How many feet of string were left on the spool? (PLS HELP NOW!!)
Mindy and Daisy are making necklaces using beads. Mindy uses 4 red beads for every 5 white beads. Daisy uses 6 red beads for every 7 white beads. Use tables of equivalent ratios to determine who will use more white beads when Mindy and Daisy each use 12 red beads.
A.
Mindy will use 15 white beads and Daisy will only use 14 white beads, so Mindy will use more white beads.
B.
Daisy will use 42 white beads and Mindy will only use 20 white beads, so Daisy will use more white beads.
C.
Daisy will use 13 white beads and Mindy will only use 9 white beads, so Daisy will use more white beads.
D.
Mindy will use 20 white beads and Daisy will only use 13 white beads, so Mindy will use more white beads.
b) Edward and Thomas share some money in the ratio 2:3 Thomas receives £243. How much does each Robert receive?
Answer:
£ 162
Step-by-step explanation:
Ratio:
Ratio of money = 2 : 3
Edward receives two parts of the money and Thomas receives three parts of the money.
Edward's share = 2x
Thomas share = 3x
Thomas receives £243 which is three parts. Find 'x'.
Thomas share = £ 243
3x = 243
Divide both sides by 3,
x = 243 ÷ 3
x = 81
Now, find Edward's share.
Edward's share = 2x
= 2*81
= £ 162
Answer:
£ 162
Step-by-step explanation:
Ratio:
Ratio of money = 2 : 3
Edward receives two parts of the money and Thomas receives three parts of the money.
Edward's share = 2x
Thomas share = 3x
Thomas receives £243 which is three parts. Find 'x'.
Thomas share = £ 243
3x = 243
Divide both sides by 3,
x = 243 ÷ 3
x = 81
Now, find Edward's share.
Edward's share = 2x
= 2*81
= £ 162
which is the following is the square root of the following
Answer:
[tex]\displaystyle \sqrt{3}\biggr[\cos\biggr(\frac{11\pi}{9}\biggr)+i\sin\biggr(\frac{11\pi}{9}\biggr)\biggr][/tex]
Step-by-step explanation:
Use the nth-root formula for complex numbers in polar form
[tex]\displaystyle \sqrt[n]{r}\biggr[\text{cis}\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr]\\ \\\\\sqrt[2]{3}\biggr[\text{cis}\biggr(\frac{\frac{4\pi}{9}+2\pi(1)}{2}\biggr)\biggr]\\ \\\\\sqrt{3}\biggr[\text{cis}\biggr(\frac{2\pi}{9}+\pi\biggr)\biggr]\\\\\\\sqrt{3}\biggr[\text{cis}\biggr(\frac{11\pi}{9}\biggr)\biggr][/tex]
[tex]\displaystyle \sqrt{3}\biggr[\cos\biggr(\frac{11\pi}{9}\biggr)+i\sin\biggr(\frac{11\pi}{9}\biggr)\biggr][/tex]
Note that this is one of the square roots of the complex number with k = n-1 = 2-1 = 1, but is the only applicable answer to this problem.
Write an expression to represent this situation: "On Tuesday at lunchtime, it was. By sunset, the temperature had dropped to."
Expression is; 29 - x = 16 an expression to represent this situation.
Where in mathematics is an expression?
An expression in mathematics is made up of a mixture of variables, numbers, and functions (such as addition, subtraction, multiplication or division etc.) In some ways, phrases and expressions are comparable.
Term is a mathematical concept that refers to a constant, a single variable, or a mixture of variables and constants along with multiplication or division. Example of an algebraic expression: 3x + 9; 5x + 10
We are told that at lunchtime, it was 29 degrees Celsius and that by sunset, the temperature had dropped to 16 degrees Celsius.
Let the drop be x.
Thus;
29 - x = 16
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The complete question is -
On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write an expression for the situation, and draw a number line diagram.
I need help with a promblem
Answer: 23
Step-by-step explanation:
This is another parallel line theorem that is important. Over here, we will need to use the concept of corresponding angles (refer to images below). In corresponding angles, they are equal. So we know the corresponding angle to [tex]x + 1[/tex] will be equal to [tex]x + 1[/tex] since corresponding angles are equal.
Now we have to use the fact that angles on a line add up to 180°. Keeping this in mind, we can now solve it like this:
[tex](x + 1) + (7x-5) = 180\\x + 1 + 7x - 5 = 180\\8x - 4 = 180\\8x = 184\\x = 23\\\\[/tex]
Once again, if there is anything you don't understand, please reply back :)
Use the Distributive Property to find 1/3×6 1/2.
Answer: 1
Step-by-step explanation: The Distributive Property is nothing to get confused about. It is simply just a multiplication rule. Follow out the steps in this problem in order. 1/3 * 6 = 2. 2 * 1/2 = 1, and there you go! If this helped, please consider giving this a brainiest as I am one away from the next rank!
Answer: 2
Step-by-step explanation:
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y=64(0. 13)
The given exponential function represents decay since the base (0.13) is less than 1. And the percentage decrease of 91.68%.
The percentage rate of the decrease can be determined by taking the base and subtracting it from 1 and then multiplying the result by 100. Mathematically, this can be expressed as (1 - 0.13)*100 = 87%. To illustrate this mathematically, let's assume that the initial value of y is 100. We can then calculate the value of y after one time period (t) as follows: y = 64(0.13)t.
Plugging in t = 1, we get y = 64(0.13) = 8.32. This means that the value of y has decreased by (100 - 8.32) = 91.68, or a decrease of 91.68%. Dividing this by the initial value of 100 gives us a percentage decrease of 91.68%/100 = 0.9168 or 91.68%.
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help with these please!
7 plus a number m is more than 5
Answer:
Step-by-step explanation:
7+m>5
Answer:
m = -2
Step-by-step explanation:
yes.
You spin the spinner twice.
What is the probability of landing on a number less than 3 and then landing on a number less than 4?
Write your answer as a fraction or whole number.
Answer: 1/3
Step-by-step explanation: The only option would be two and that has a 1/3 chance of occuring.
I need help with this please and thank you
1). The two adjacent angles are ∠1 and ∠2.
2). The two vertically opposite angles are ∠1 = ∠3.
3). The value of x will be 10.
What are lines and angles?Perpendicular lines, intersecting lines, transversal lines, and other types of lines will be covered. An angle is a shape formed by two rays emerging from a common point. In this field, you may also come across alternate and corresponding angles.
1.) The two adjacent angles will be:-
∠1 and ∠2
The two angles are just next to each other which is why they are adjacent angles.
2). The two vertically opposite angles are ∠1 = ∠3. They are opposite to each other so their values will also be the same.
3). The value of x will be calculated as:-
9x = 90
x = 90 / 9
x = 10
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2/3 * -4/5[tex]2/3* -4/5[/tex]
The value of the expression 2/3 x -4/5 is -8/15.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
An expression,
2/3 x -4/5.
Here, we have to multiply the fraction.
So,
2/3 x -4/5,
= -8/15
Therefore, -8/15 is the value.
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Which is the better buy?
2-cup bottle of mouthwash for $7.38
2-pint bottle of mouthwash for $8.04
Answer:Second option ( $8.04)
Step-by-step explanation:
Answer:
A cup
Step-by-step explanation:
Because a pint is smaller than a cup look it up it's true
what is 8(x+12) + 10(x+25)
Answer:
18x + 346
Step-by-step explanation:
8(x+12) + 10(x+25)
8x + 96 + 10x + 250
18x + 346
A significance test about a proportion is conducted using a significance level of 0.05. The sample statistic is 0.12. The p-value is 0.03.a) If H0 were true, for what probability of a Type I error was the test designed?b) What conclusion (reject or fail to reject) would you make for this test?c) If this test resulted in a decision error, what type of error was it?
For the significance test given, the error will be a type one error.
The results of tests for statistical significance show whether apparent variations in assessment results are the product of random variation or sampling mistake. The given parts can be answered as -
a) The analysis of the given question was conducted with a likelihood of .05 for a type one error. This is because the level of significance for it is .05 as well. Therefore, such a situation implies that regardless of whether the null hypothesis is correct and accurate there is still a five percent chance that it will be incorrect or will be rejected.
b) The probability that a representative sample will be equally extreme or more intense than the one that was correctly predicted is known as the p-value when the null hypothesis is true. In this case, the p-value is only .03 and drops below the .05 criterion of significance. This reveals that the generic parameter-supported null thesis is categorically rejected. This study would thus, further result in the rejection of the null hypothesis.
c) A decision error from the test could be either a Type I error or a Type II error. While a Type II error happens when the null hypothesis is true but not rejected, a Type I error happens when the opposite is true. Since the null hypothesis was true but was rejected by chance in this situation, any judgement error that the test produced would be of the Type I variety.
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Suppose that Antonia rolls a pair of fair six-sided dice. Let A be the event that the first die lands on 5 and B be the event that the sum of the two dice is 6. Using the sample space of possible outcomes below, answer each of the following questions.
What is P(A), left parenthesis, A, right parenthesis, the probability that the first die lands on 5?
What is P(B), left parenthesis, B, right parenthesis, the probability that the sum of the two dice is 6?
What is P(A\text{ and }B)P(A and B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, the probability that the first die lands on 555 and the two dice add up to 6?
Are events A and B independent?
The answers for the asked probabilities are a) 1/6, b) 5/36, c) 1/36 and d) A and B events are not independent.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, Antonia rolls a pair of fair six-sided dice. A is the event that the first die lands on 5 and B is the event that the sum of the two dice is 6.
Probability = possible outcomes / favorable outcomes
Suppose that Antonia rolls a pair of fair six-sided dice.
All possible outcomes are:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (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)
(36 outcomes in total)
a) A = the first die lands on 5
Favorable outcomes:
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6 outcomes)
Therefore, the probability that the first die lands on 5 = P(A) = 6/36 = 1/6
b) B = the sum of the two dice is 6
Favorable outcomes:
(1, 5), (2, 4), (3, 3), (4, 2), (5, 1) = (5 outcomes)
Therefore, the probability that the sum of the two dice is P(B) = 6 = 5/36
c) A∩B = the first die lands on 5 and the two dice add up to 6
Favorable outcomes:
(5, 1) = 1 outcome
Therefore, the probability that the first die lands on 5 and the two dice add up to6 = P(A∩B) = 1/36
d) Two events are independent when;
P(A∩B) = P(A) · P(B)
Since,
1/36 ≠ 5/36 · 1/36
Therefore, A and B events are not independent.
Hence, the answers for the asked probabilities are a) 1/6, b) 5/36, c) 1/36 and d) A and B events are not independent.
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Graph this line using the slope and y-intercept: y=6x+1
Answer:
shown below
Explanation:
you can take the y-intercept and plot that right away. The y intercept for this equation is 1, so you plot a point at (0,1). Then you can use the slope to find your next point. You can put the slope, 6, into a fraction form, making it “6/1” then you use rise/run and go up 6, over 1, and plot your next dot at (7,1). You then take a straight edge and graph the line that intercepts both points. It looks like the picture below.
need helppppp
schoology
155 degrees
Straight line equals 180 degrees.
180 - 25 = 155 degrees
Answer:
155 degrees
Step-by-step explanation:
A straight angle is 180 degrees. The equation to solve this would be 25+x=180; to solve this, subtract 180-25=x; x=155
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Jodi found a pair of jeans on sale for $90. Her friend told her that was only 75% of the original price. What was the original price of the jeans?
The original price of the pair of jeans is equals to the $120.
We Jodi wants to buy a pair of jeans.
The purchase price of pair of jeans = $90
Discount on price of jeans = 75%
Let the original price of pair of jeans be equal to "$x". Percent is an important concept of mathematics. It is a number or ratio of fraction of hundred. It is denoted by symbol %. The formula is
% = ( part /whole )×100
Here, it is said that the price of pair of jeans, $90, is only 75% of the original price. So, we can write it as the following way 75% of x = 90
=> (75/100) of x = 90
=> (75/100) × x = 90
=> x = 90× 100/75
=> x = 9000/75
=> x = 120
Hence, required value of x is 120.
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a sphere is missing 1/4 of its volume. the diamaeter of the sphere is 26 meters. find the volume of the remaining 3/4 globe shown, rounded to the nearest hundreth
Answer:
6902.97m³
Step-by-step explanation:
volume of a sphere =4/3πr³
=4/3×3.142×13×13×13=9203.965m³
1/4×9203.965=2300.99125m³
9203.965-2300.99125=6902.974
=6902.97m³
what is the graph for the problem y= 10 + 20x
This graph above portraiture the linear equation
NEED HELP ASAP WILL GIVE BRAINIEST TO THE CORRECT ANSWER DUE IN 20 MIN
Answer:
They are not equal
one is -1 times the other answer C
Step-by-step explanation:
for t =2 15.8t - 3.8t = 24
3.8t - 15.8t = - 24
Answer:
C, 24, and -24
Step-by-step explanation:
Step 1a) No, so C
Step 1b) 15.8(2)- 3.8(2)
Step 2b) 31.6 -7.6
Step 3b) 24
Step 1c) 3.8(2)- 15.8(2)
Step 2c) 7.6 -31.6
Step 3c) -24
4 (9) If p, b and h are the sides of a angled triangle then write right angled h in terms of p and b.
Step-by-step explanation:
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i need help :)
schoology
Answer: 132 degrees
Step-by-step explanation: 180 degrees ( the degree of a straight line) - 48 equals 132
Why is it important to use a device like a random number table in a simulation?
A. Chance plays a part in the process being simulated.
B. It helps to organize the data.
C. The calculations are difficult to complete by hand.
D. Random number tables include critical values
It is important to use a device like a random number table in a simulation because Option A Chance plays a part in the process being simulated.
In simulations, a random number table is used to incorporate the element of chance into the process being modeled. The reason this is important is that many real-world processes involve uncertainty and randomness, and to accurately simulate these processes, it is necessary to include these elements.
For example, in simulating the stock market, stock prices can be modeled as random variables, because they are influenced by a variety of unpredictable factors such as changes in interest rates, company earnings, geopolitical events, and investor sentiment. To simulate this process, a random number table can be used to generate random numbers that represent these unpredictable factors.
By using a random number table, the simulation can model the uncertainty and randomness inherent in the real-world process, which makes the simulation more accurate and realistic. This is why it is important to use a device like a random number table in a simulation when chance plays a part in the process being simulated.
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