A neutral atom contains equal amount of proton and electron.
A negative ion contains extra electrons hence there is additional outer shell so it is expected that the radius is bigger than that of a neutral atom.
While a positive ion contains less electron so there is less outer shell so the radius is smaller than that of a neutral atom.
Arranging the radius in increasing order:
positive ion, neutral atom, negative ion
How is the graph y=7x^2+4 different from the graph of y=7x^2
Find the value of x. Round the length to the nearest tenth.
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Tickets for the baseball games were $2.50 for general admission and 50 cents for kids. If there were six times as many general admissions sold as there were kids tickets, and the total receipts were $7750, how many of each type of ticket were sold?
The number of tickets sold of each type is required.
Number of general tickets sold is 3000 and kids tickets is 500.
The cost of general tickets is $2.5
Cost of kids tickets is $0.5
Number of general tickets sold = x
Number of kids tickets sold = y
Total value of tickets sold = $7750
Now,
[tex]x=6y[/tex]
[tex]2.5x+0.5y=7750\\\Rightarrow 2.5(6y)+0.5y=7750\\\Rightarrow 15.5y=7750\\\Rightarrow y=\dfrac{7750}{15.5}\\\Rightarrow y=500[/tex]
[tex]x=6\times 500=3000[/tex]
Number of general tickets sold is 3000 and kids tickets is 500.
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Multiply and simplify if possible square root of 6 multiply square root 2
To multiply square roots, you multiply the numbers under the root (the radicands) and then take the square root of that result. So, square root of 6 multiplied by square root of 2 equals the square root of 12.
Explanation:
The student's question requires multiplication of square roots. When multiplying square roots, we multiply the numbers under the roots (i.e., the radicands) and then compute the square root of that result.
So, to solve √6 * √2, we multiply the radicands (6 * 2) to get 12. Hence, √6 * √2 = √12. In some cases, we can simplify this further by factoring the radicands into the product of two numbers, where one of those numbers is a perfect square. However, 12 is already a simplified form, so the final answer will be √12.
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Figure out the pattern, fill in the blank.
The number to fill the given blank is 384.
We need to figure out the pattern from the number sequence.
What is the pattern in the number sequence?A number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers.
From the given figure we can see that the pattern following the sequence is as follows:
From the bottom blocks to the block just above that it is multiplied by two numbers in the bottom blocks to get the number in the corresponding top block.
That, 6×2=12, 2×2=4, 2×1=2, 12×4=48, 4×2=8 and 48×8=384.
Therefore, the number to fill the given blank is 384.
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The longer leg of a right triangle is 4m longer than the shorter leg. the hypotenuse is 8m longer than the shorter leg. find the side lengths of the triangle.
The lengths are 12 m, 16 m, and 20 m.
What is a hypotenuse in the triangle?In a right triangle, the hypotenuse is the longest aspect, an "contrary" aspect is the one throughout from a given attitude, and an "adjacent" aspect is subsequent to a given perspective.
How do I discover the hypotenuse of a proper triangle?The hypotenuse is opposite to the right perspective and may be solved by means of using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c, Pythagoras' theorem states that: a² + b² = c². To clear up for c, take the rectangular root of both aspects to get c = √(b²+a²).
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The table shows the growth of a type of bacteria. How many bacteria will be present after 6 hours? [Use an exponential regression curve.]
Answer:
3404
Step-by-step explanation:
The mass of a pencil is 5.44 g. The mass of a crayon is 2.145 g. How much greater is the mass of the pencil than the mass of the crayon?
Answer:
The mass of a pencil is 3.295 greater than the mass of the crayon.
Step-by-step explanation:
Consider the provided information.
The mass of a pencil is 5.44 g. The mass of a crayon is 2.145 g.
We need to find how much greater is the mass of the pencil than the mass of the crayon?
To find this simply subtract the mass of a crayon from mass of a pencil.
5.44-2.145
This can be written as:
5.440
-2.145
3.295
Hence, the mass of a pencil is 3.295 greater than the mass of the crayon.
The mass of the pencil is 3.295 grams greater than the mass of the crayon.
How did we get the value?To find out how much greater the mass of the pencil is compared to the crayon, we need to subtract the mass of the crayon from the mass of the pencil.
Mass of the pencil = 5.44 g
Mass of the crayon = 2.145 g
Mass difference = Mass of the pencil - Mass of the crayon
= 5.44 g - 2.145 g
= 3.295 g
Therefore, the mass of the pencil is 3.295 grams greater than the mass of the crayon.
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Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below.
Answer:
581.25
Step-by-step explanation:
Use the formula for when the last term is unknown. It is [tex]s_{n} = \frac{a_{1} - a_{1} (r)^{n} }{1-r}[/tex].
For this equation [tex]s_{n}[/tex] (sum of the numbers)= [tex]s_{5}[/tex], [tex]a_{1}[/tex] (amount of first term) = 300, r (ratio)= .5, and n (number of terms) = 5. Knowing this, we plug them into the equation. It would look like: [tex]s_{10} = \frac{300 - (300)(0.5)^{5} }{1-0.5}[/tex].
First, we solve the exponents. 0.5 to the fifth power = .03125. Now multiply it by the nearest number in parentheses, which is 300. You should get 9.375.
Now, subtract that from 300. 300 - 9.375 = 290.625. Your numerator is 290.625.
Simplify your denominator. 1 - 0.5 = 0.5.
Divide.
[tex]\frac{290.625}{0.5} = 581.25[/tex]
581.25
I tried to make sure there were no typos! Please let me know if I missed something :)
Which substance is a heterogeneous mixture?
Cereal
Silver
Nickel
Shampoo
Cereal is a heterogeneous mixture. Because it is not uniformly mixed together since it has a variety of components. Option A is correct.
What is a heterogeneous mixture?When the composition of a mixture is not constant throughout the mixture, the mixture is said to be heterogeneous. A variety of ingredients make up vegetable soup. Each mouthful of soup will have variable proportions of the soup's various veggies and other ingredients.
Given that the ingredients are visible and diverse, it is unmistakably cereal. The remaining choices, whether they be mixes or natural components, are homogenous since the contents blend well.
Because it contains a variety of unbalanced ingredients like flakes, berries, and clusters, cereal is a wonderful illustration of a heterogeneous mixture. A homogeneous mixture is one in which the constituent parts are thoroughly combined, as seawater.
Thus, Cereal is a heterogeneous mixture. Because it is not uniformly mixed together since it has a variety of components. Option A is correct.
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kevin walked 3/4 of a mile in 12 minutes. assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?
Answer:
We know that Kevin moved at a constant speed, so his movement can be model by:
[tex]d=st[/tex]
Where [tex]d[/tex] is distance, [tex]s[/tex] is speed and [tex]t[/tex] is time.
So, we can find the speed first, to then find the expression of the distance at any time:
[tex]s=\frac{d}{t}=\frac{\frac{3}{4}mi}{12min}\\s=\frac{3}{48}mi/min\\s=\frac{1mi}{16min}[/tex]
The ratio of his movement is 1 miles each 16 minutes.
Then, the distance at any minute would be:
[tex]d=\frac{1}{16}t[/tex]
This expression model the entire movement of Kevin, because it gives the distance he traveled at any minute.
For example, the first minute, Kevin covered a distance of:
[tex]d=\frac{1}{16}(1)=0.063 miles[/tex]
So, we could say that he travels 0.063 miles per minute.
Which of the following is something you need to think about throughout unit 5 ?
A the independent reading
B the skills for arguments
C the writing prompt
D the opinions you have
Answer:
B the skills for arguments
Step-by-step explanation:
gurl just read the lesson lol
and it's not the opinions you have other person is incorrect
HELP PLEASE!!!!!!!!!
Use the factor theorem to determine whether the binomial x + 1 is a factor of the polynomial function ƒ(x) = 2x3 – 9x2 + 13x – 6.
x+1 is not a factor of f(x).
What is factor theorem?A polynomial can be factored and its roots can be discovered using the factor theorem. The polynomial remainder theorem is a special instance of this one. A polynomial f(x) has a factor (x-a), as was mentioned in the introduction, if and only if f(a) = 0.
Given:
ƒ(x) = 2x³ – 9x² + 13x – 6.
if x+1 is factor of 2x³ – 9x² + 13x – 6.
So, x= -1.
Then, 2x³ – 9x² + 13x – 6.
f(-1) = 2(-1)³ – 9(-1)² + 13(-1) – 6.
f(-1)= -2 - 9 - 13 - 6
f(-1) = -33.
Hence, x+1 is not a factor of f(x).
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Anyone knows the answer
An item has a listed price of $65. If the sales tax rate is 5%, how much is the sales tax in dollars?
The amount of sales tax in dollars is $3.25.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Given that,
An item has a listed price of $65 and the sales tax rate is 5%.
Listed price of an item = $65
Rate of sales tax = 5%
To calculate the amount of sales tax, we have to calculate the amount of 5% of the listed price which is $65.
Amount of sales tax = 5% of $65
= 5% × 65
= (5/100) × 65
= 0.05 × 65
= 3.25
Hence the amount of sales tax for the item is $3.25.
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Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why ABC LMN?
Answer:
D, E, and F
Step-by-step explanation:
D. SAS can be used, side-angle-side. The angle is the right angle in both and right angles always are congruent since they can only measure 90 degrees. The heights of both triangles are marked with the same number of slashes, so they are congruent; likewise, the bases are marked with the same number of slashes, so they are congruent. Since the angle is between the sides, or included, this is SAS.
E. HL can also be used since the hypotenuses of both triangles are marked with the same number of slashes, they are congruent. We already decided the legs of both were congruent to each other.
F. LL (which is also exactly the same as SAS) can also be used since we already decided that the legs in both triangles are congruent.
More information about the diagram and angles and sides is needed to determine the congruence theorems or postulates that can be applied.
Explanation:In order to determine which congruence theorems or postulates can be used to prove that triangles ABC and LMN are congruent, we need more information about the diagram and the given angles and sides. Without that information, it is not possible to determine which congruence theorems or postulates can be applied.
A beach ball has a diameter of 10 inches. What is the volume of air contained inside the beach ball? Use 3.14 for pi. Round your answer to the nearest hundredth.
Answer:
523.33 cubic inches
Step-by-step explanation:
A rectangular shaped desk has a length of 25 inches and a width of 18 inches. A desk with a similar shape has a length of 60 inches. What is the width of this desk?
Answer:
43.2 in
Step-by-step explanation:
I took it
If rectangular shaped desk has a length of 25 inches and a width of 18 inches. A desk with a similar shape has a length of 60 inches. then its width will be 43.2 inches.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
A rectangular shaped desk has a length of 25 inches and a width of 18 inches
A desk with a similar shape has a length of 60 inches. x is the width of this desk
We need to find the value of x.
Let us formulate a equation.
25/18=60/x
Apply cross multiplication
25x=18(60)
25x=1080
Divide both sides by 25.
x=43.2
Hence if a desk with a similar shape has a length of 60 inches it will have 43.2 inches of width.
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We are given that the suitcase is 24 inches long and 18 inches high. Assuming a regular rectangular shape, the diagonal can be calculates using Pythagorean theorem, that is:
diagonal^2 = 24^2 + 18^2
diagonal^2 = 900
diagonal = 30 inches
Answer:
Step-by-step explanation:
A recipe asks for 6 1/4 cups of flour. How many cups of flour are needed to make 1/2 of a recipe
the answer is 3 1/8!
sorry if this is really late,,, hope this helps <3
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the best estimate of the speed Morris is traveling?
1 mile = 5,280 feet
45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour
Scott bought 6 pounds of flour for $4 . how many dollars did he pay per pound of flour?
Final answer:
Scott paid approximately $0.67 per pound of flour, calculated by dividing the total cost of $4 by the total weight of 6 pounds.
Explanation:
The student asked: Scott bought 6 pounds of flour for $4. How many dollars did he pay per pound of flour?
To figure out the cost per pound of flour, you need to divide the total cost by the number of pounds.
Step-by-Step Calculation:
Write down the total cost of the flour, which is $4.
Write down the total weight of the flour, which is 6 pounds.
Divide the total cost by the total weight to find the cost per pound: $4 ÷ 6 pounds
The result is approximately $0.67 per pound.
Scott paid approximately $0.67 for each pound of flour.
Find the distance between points (1,3) and (5,7) round the answer to two decimal points
Can a system of equations have more than one solution
Ray Np is an angle bisector of angle MNQ and measure of Angle PNQ = 2x+1. Find the measure of angle MNQ. If The measure of MNQ=x^2-10. Find the value of x, and the appropriate measure of angle MNQ
To find the measure of angle MNQ, we can set up an equation using the fact that ray NP is an angle bisector. Solving the equation gives us the value of x, and substituting that value back into the equation gives us the measure of angle MNQ.
Explanation:To find the measure of angle MNQ, we can use the fact that ray NP is an angle bisector of angle MNQ. This means that angle PNQ is half of angle MNQ.
We are given that angle PNQ = 2x + 1, so we can set up the equation 2x + 1 = (1/2)(x^2 - 10) to find the value of x.
Solving this equation, we get x = 5. Therefore, the measure of angle MNQ is 5^2 - 10 = 15 degrees.
does anyone know this?
One hundred tickets, numbered 1,2,3, ,100, are sold to 100 different people for a drawing. four different prizes are awarded, including a grand prize (a trip to tahiti).
There are four questions related to this: how many number of ways are there to award the prizes if:
a) There are no restrictions? If k unalike awards are there for n people and no person can get more than one prize then there are: This leads to 100 × 99 × 98 × 97 = 94109400100 × 99 × 98 × 97 = 94109400 ways in your case where n=100 k=4.
b)The person holding ticket 47 wins the grand prize? After handing out the grand prize there are k=3 different rewards left for n = 99 persons. Apply the same formula. Answer: 941094941094
c) The person holding ticket 47 wins one of the prizes? 4 times case because there are 4 likelihoods when it comes to the rewards that can be won by person 47. Answer: 37643763764376
d) The person holding ticket 47 does not win a prize? k=4 and n =99.
Person 4747 is left out. Answer: 9034502490345024
e) The person holding ticket 19 and 47 both wins prize? First gave out a
prize to 47. There are 4 possibilities. Then give out a prize
to 19. There are 3 likelihoods. Then the other prizes are gave
out: k=2 and n=98. Lastly you come to 4 × 3 × 98 × 97 =1140724
× 3 × 98 × 97 = 114072 possibilities.
simplify 1,000^8=10^w
The value of [tex]w[/tex] is [tex]24[/tex].
Given:
The equation is:
[tex]1000^8=10^w[/tex]
To find:
The value of [tex]w[/tex].
Explanation:
We have,
[tex]1000^8=10^w[/tex]
[tex](10^3)^8=10^w[/tex]
[tex]10^{24}=10^w[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
On comparing the exponents of the same bases, we get
[tex]24=w[/tex]
Therefore, the value of [tex]w[/tex] is [tex]24[/tex].
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Your regular pay of $67, plus tips, came up to $182.50. How much were the tips? Be sure to write your answer in dollars and cents. $115.50 $67 $182.50 Not enough information
Answer:
115.50
Step-by-step explanation:
I took the test