Final answer:
The incorrect statement is that the nucleus of an atom contains protons and electrons; actually, the nucleus contains protons and neutrons, with electrons orbiting around it.
Explanation:
The statement that does not correctly describe the structure of an atom is 'Inside the nucleus of an atom are protons and electrons'. This statement is incorrect because the nucleus of an atom actually contains protons and neutrons, not electrons. Electrons are negatively charged sub-atomic particles that orbit around the nucleus. The nucleus itself is a small, dense center that is positively charged due to the presence of protons, which are positively charged. Neutrons, which have no electric charge, are also found within the nucleus.
Further expanding on atomic structure, the nucleus is very tiny compared to the rest of the atom, which is mostly empty space. The electrons residing in this space are in perpetual motion, creating a cloud-like region around the nucleus. Despite their small mass compared to protons and neutrons, the number of electrons equals the number of protons in a neutral atom, balancing the charge.
The ratio 5/10 is in simplest form
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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A bank sends its customers an e-mail when their accounts fall below -$10. Which inequality models this situation? A) a<-10 B) a>-10 C) a≥-10 D) a≤-10
Answer:
<−10
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
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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One leg of a right triangle is 3 millimeters longer than the shorter leg and the hypotenuse is 6 millimeters longer than the shorter leg. find the lengths of the sides of the triangle.
Using the Pythagorean theorem and defining the shorter leg as 'x', we solve the equation x² + (x + 3)mm² = (x + 6)mm² to find that the shorter leg is 9 mm, the longer leg is 12 mm, and the hypotenuse is 15 mm.
Explanation:To solve for the lengths of the sides of a right triangle when given the difference in length between the legs and the hypotenuse, we can use the Pythagorean theorem, which states that for a right triangle with legs 'a' and 'b', and hypotenuse 'c', the relationship is a² + b² = c².
Let's define the length of the shorter leg as 'x'. According to the problem, the other leg is 'x + 3 mm' (3 millimeters longer than the shorter leg), and the hypotenuse is 'x + 6 mm' (6 millimeters longer than the shorter leg).
Applying the Pythagorean theorem, we get the equation:
x² + (x + 3)mm² = (x + 6)mm²
Expanding the squares and solving for 'x', we get:
x² + x² + 6x + 9 = x² + 12x + 36Combining like terms and simplifying gives us:x² - 6x - 27 = 0Factoring the quadratic equation, we find that (x - 9)(x + 3) = 0Since the length cannot be negative, we discard the negative solution and left with 'x = 9 mm'This means the shorter leg is 9 mm, the longer leg is 9 mm + 3 mm = 12 mm, and the hypotenuse is 9 mm + 6 mm = 15 mm.
Find the value of x. Round the length to the nearest tenth.
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
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
Emma is an artist and has created seven paintings. She plans to paint three additional paintings each week. What statements are true of this scenario? Check all that apply.
Answers are 2, 3, and 4 on e d g e n u i t y
Which of the following shows the situation below in function notation??
Answer: The phrase is "The time it takes to read a book depends on the number of pages in the book"
so the time is the dependent variable and the pages are the independent variable.
Then you will have a function of the form Time(pages) in which you introduce a number of pages (the total number of pages in a book, in this case) and returns the time it takes to read them all. So the correct answer is A.
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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does 4+3n2 has four term
What is the length of a rectangle if the perimeter is 88 inches and the length is 2 inches more than the width?
The length of a rectangle is 33 inches.
What is a rectangle?The rectangle is a 2D shape having four sides and the opposite sides of the rectangle are equal and parallel. The sum of all angles of the rectangle is 360°.
We have,
The perimeter of the rectangle = 88 inches
And,
The length is 2 inches more than the width.
Now, Let,
Width of the rectangle = a
So,
Length of the rectangle = 3a
Now,
Using the formula of the perimeter of the rectangle,
i.e.
The perimeter of the rectangle = 2(Length + Width)
Now,
According to the question,
i.e.
88 = 2( 3a + a)
i.e.
8a = 88
We get,
a = 11,
i.e.
Width of the rectangle = a = 11 inches
So,
Length of the rectangle = 3a = 3 * 11 = 33 inches
Hence, we can say that the length of a rectangle is 33 inches and the width of the rectangle is 11 inches.
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Find the sales price of the following item.
A toaster originally costing $39.99, marked down $8.50.
4.70
31.49
48.49
339.92
Answer:
The sales price is $31.49
Step-by-step explanation:
If the toaster has a marked down of $8.50 means that is a discount and you need to subtract this value from the originally costing, as follows:
Sales price = Original cost - Discount value
Sales price = [tex]39.99-8.50[/tex]
Finally, the sales price is $31.49
Ifyou are asked to solve a system ofequations in which there is no linear equation to start with, you can sometimes begin by isolating and substituting a variable that is squared in both equations.
Seven times a number minus the number is -48. Find the number.
A.)the number is -8
B.)the number is 8
C.)the number is 6
How is the graph y=7x^2+4 different from the graph of y=7x^2
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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Andre and Sally are playing a number game. Andre tells Sally, "I'm thinking of a number between 1 and 20. If I take the number and add 5, and then subtract 3, I get 19." What number is Andre thinking of?
Using the graph below, what are the common ratio and the general term equation, an, of the geometric sequence?
Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio.
OPTIONS:
r = 1/2, a sub n = -16 (1/2) to the power of n-1
r = −2, an = −16(−2)n − 1
r = 2, an = −16(2)n − 1
r = -1/2, a sub n = -16 (-1/2) to the power of n-1
To find the common ratio and general term equation of the geometric sequence, we analyze the given graph and use the formula for the general term of a geometric sequence. By solving the equations (-16)(r)^(n-1) = -8 and (-8)(r)^(n-2) = -16, we find that the common ratio is 1/2 and the general term equation is an = -16(1/2)^(n-1).
Explanation:
To determine the common ratio and general term equation of the geometric sequence, we can examine the given graph.
From the graph, we can see that the first term is -16. Let's identify two points on the graph that correspond to consecutive terms. We can choose the points (-1, -8) and (-2, -16) as the graph passes through these points.
Using the formula for the general term of a geometric sequence, an = a1(r)^(n-1), we can substitute the given values (-16, r) and (-8, r^2) to find the common ratio and the general term equation.
By solving the equations (-16)(r)^(n-1) = -8 and (-8)(r)^(n-2) = -16, we find that the common ratio is 1/2 and the general term equation is an = -16(1/2)^(n-1).
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.
If i am driving 63 miles an hour how long will it take to drive 441 miles
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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For the following question, use the equation d = rt, in which d is distance, r is rate, and t is time. How far is Grandmother's house if you must drive 4.5 hr through the woods at an average of 52 mi/hr to get there?
Using the equation for distance, which is the product of rate and time, the distance to Grandmother's house is calculated to be 234 miles.
Explanation:To solve this problem, you can use the given equation
d = rt,
where d stands for distance,
r indicates rate (or speed), and
t is the time.
In the question, the rate is given as 52 mi/hr and the time as 4.5 hr.
Substituting these values into the equation gives:
d = 52 mi/hr * 4.5 hr = 234 mi.
So, Grandmother's house is 234 miles away.
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Find the measure of the third angle of a triangle given the measure of two angles are 63º and 22º.
A. 75°
B. 85°
C. 95°
D. 105°
Answer:
The answer C
Step-by-step explanation:
Suppose a right cylinder was bent into a U-shape and was compared to another right cylinder. What can be said about their volumes?
Answer:
The volume of the U-shape will be half the volume of the original right cylinder.
Step-by-step explanation:
If we are given a right cylinder and it was bent into a U shaped then this U-shaped figure could also be considered as a half cylinder.
We could see from the figure attached how this shape looks like.
and now the volume of this half cylinder will be half the volume of the actual right cylinder.
Answer:
B) There is not enough information to tell since they are not between parallel planes.
Step-by-step explanation:
In order for Cavalieri's principle to be true, both cylinders must have the same cross section. They may or may not. The requirement of being between parallel planes was broken. Therefore -- There is not enough information to tell since they are not between parallel planes
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.
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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Can a system of equations have more than one solution