The area of a circle is πr². We know r is 7, so the area is π * 7² = 49π.
Substituting, we have 49 * 3.14 = 153.86, which rounds to 153.9 centimeters squared.
The area of circle with a radius of 7 cm is,
⇒ 153.9 centimeters squared
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
Radius of circle = 7 cm
Now, We know that;
Area of circle is,
A = πr²
Where, 'r' is radius of circle.
Here, Radius of circle = 7 cm
Hence, The area of circle with a radius of 7 cm is,
⇒ A = πr²
⇒ A = 3.14 × 7²
⇒ A = 3.14 × 49
⇒ A = 153.9 centimeters squared
Thus, The area of circle with a radius of 7 cm is,
⇒ 153.9 centimeters squared
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Consider the power 34.
Which are correct descriptions of this power? Check all that apply.
The power is the product of 3 and 4.
The power is described as 3 to the fourth power.
The power means 3 factors of 4 are being multiplied.
The power can be expanded as 3 · 3 · 3 · 3.
The value of this power is 81.
Answer:
ok if its 3^4 then the answers are
the second one
the forth
and the fifth
Step-by-step explanation:
3^4 is (3)(3)(3)(3) so that equals 81 and the terminology is 3 to the power of 4
please help me with this
the answer is 1/8
Look at the attached picture⤴⤴
Hope this will help u.....✔
Noah hopes to pick the winning ticket during her math class's raffle. The student who picks the ticket with a true statement will win. Which is the winning ticket?
a
2(x - 6) = -35 is equivalent to 2x = -23
b
8(x - 7) = 35 is equivalent to 8x = 28
c
9(x - 6) = -35 is equivalent to 9x = -29
d
4(x - 5) = 35 is equivalent to 4x = 40.
Answer:
Option a.
Step-by-step explanation:
We need to select correct statements form the given options.
[tex]2(x-6)=-35[/tex]
[tex]2x-12=-35[/tex]
[tex]2x=-35+12[/tex]
[tex]2x=-23[/tex]
Therefore, [tex]2(x-6)=-35[/tex] is equivalent to [tex]2x=-23[/tex].
[tex]8(x-7)=35[/tex]
[tex]8x-56=35[/tex]
[tex]8x=35+56[/tex]
[tex]8x=91[/tex]
Therefore, [tex]8(x-7)=35[/tex] is not equivalent to [tex]8x=28[/tex].
[tex]9(x-6)=-35[/tex]
[tex]9x-54=-35[/tex]
[tex]9x=-35+54[/tex]
[tex]9x=19[/tex]
Therefore, [tex]9(x-6)=-35[/tex] is not equivalent to [tex]9x=-29[/tex].
[tex]4(x-5)=35[/tex]
[tex]4x-20=35[/tex]
[tex]4x=35+20[/tex]
[tex]4x=55[/tex]
Therefore, [tex]4(x-5)=35[/tex] is not equivalent to [tex]4x=40[/tex].
Hence, option (a) is correct.
Answer:
A. 2(x - 6) = -35 is equivalent to 2x = -23
Step-by-step explanation:
just took the quiz
There are 5 designs of necklaces available at a jewelry store. Each design is available in 3 types of stones. How many different combinations of 1 design and 1 stone of necklace can you have?
Answer:
3 stone necklaces
Step-by-step explanation:
so theres 5 designs and 3 stones you can only have 1 stone with one if your looking to put one on each necklace there will be three with one stone and two without
i need help on page 382 please on a and b
Answer:
5a) The number of red blocks increases by one every time while the blue one stays the same.
5b) The number of blue blocks increases by one every time while the red one stays the same.
Step-by-step explanation:
I don't really know how to explain this. The best way for you to understand this concept is to google algebraic expressions for pattern rules.
PLEASE HELP ! !
Identify the domain of the function.
A) (−2, 4)
B) (−3, 3)
C) [−2, 4]
D) [−3, 3]
Answer: A or C (i think A because its not including)
Step-by-step explanation:
Quien me ayuda a hacer esta operación :(, es súper urgente
Answer:
y≥ 5+5/3x
Step-by-step explanation:
5x-3y≤-15
-5x . -5x
-3y≤-15 -5x
/-3 . /-3 .(flip inequality when dividing or multiplying by a negative number)
y≥ 5+5/3x
The sum of two numbers is 14. The first number is 2/5 of the second number. What are the numbers?
Answer:
4 and 10
Step-by-step explanation:
To solve this problem, we need to find all the numbers between 1 and 13 that have a sum of 14. The list is shown below:
1 + 13, 2 + 12, 3 + 11, 4 + 10, 5 + 9, 6 + 8, 7 + 7
Now we must figure out which set of numbers include one number that is 2/5 of the value of the other. We can do that by turning the sets of numbers into fractions as shown below:
[tex]\frac{1}{13}\neq \frac{2}{5}[/tex]
[tex]\frac{2}{12}\neq \frac{2}{5}[/tex]
[tex]\frac{3}{11}\neq \frac{2}{5}[/tex]
[tex]\frac{4}{10}= \frac{2}{5}[/tex] (answer)
[tex]\frac{5}{9}\neq \frac{2}{5}[/tex]
[tex]\frac{6}{8}\neq \frac{2}{5}[/tex]
[tex]\frac{7}{7}\neq \frac{2}{5}[/tex]
The first number is 4, and the second number is 10, and their sum is indeed 14, as given in the problem.
Let's call the first number "x" and the second number "y." According to the information given:
The sum of the two numbers is 14, so we can write the equation:
x + y = 14
The first number (x) is 2/5 of the second number (y), which can be expressed as:
x = (2/5)y
Now, we can solve this system of equations using substitution. First, we'll substitute the expression for x from the second equation into the first equation:
(2/5)y + y = 14
To make the equation easier to solve, we can get rid of the fraction by multiplying both sides of the equation by 5 (the denominator of 2/5):
5(2/5)y + 5y = 5 * 14
This simplifies to:
2y + 5y = 70
Now, combine like terms:
7y = 70
To solve for y, divide both sides by 7:
y = 70 / 7
y = 10
Now that we've found the value of y, we can find the value of x using the second equation:
x = (2/5)y
x = (2/5) * 10
x = 4
So, the two numbers are:
x = 4
y = 10
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4*3s+7*2s simplified
Answer:
26s
Step-by-step explanation:
4 x 3 s + 7 x 2 s
12s + 14s = 26s
Answer:
26 s
Step-by-step explanation:
[tex]4 \ast3s + 7 \ast2s \\ = 12s + 14s \\ = 26s[/tex]
what’s the slope of this line?
Answer:
-1
Step-by-step explanation:
The formula for slope is: [tex]\frac{y_1-y_2}{x_1-x_2}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points
Plug in (-5,3) and (-3,1) into the equation, and you get:
[tex]\frac{-5-(-3)}{3-1} =\\\frac{-2}{2} =\\-1[/tex]
Solve for u in terms of r, s, and t.
t= –rsu
u=
Answer:
u = - [tex]\frac{t}{rs}[/tex]
Step-by-step explanation:
Given
t = - rsu ( multiply both sides by - 1 )
- t = rsu ( divide both sides by rs )
- [tex]\frac{t}{rs}[/tex] = u
To find u in terms of r, s, and t given the equation t = -rsu, divide both sides by -rs to get u = -t / (rs).
To solve for u in terms of r, s, and t using the given equation t = -rsu, we need to isolate u. We do this by dividing both sides of the equation by -rs, which gives us u = -t / (rs). This shows that u is inversely proportional to the product of r and s, and directly proportional to -t.
Find the midpoint m of AB
The midpoint m of line segment AB, with a length of 22 units, is located at 11. Assuming A and B are evenly spaced, the midpoint is found using the formula [tex]\( m = \frac{{A + B}}{2} \)[/tex].
To find the midpoint m of line segment AB, where AB has a length of 22 units, we use the midpoint formula: [tex]\( m = \frac{{A + B}}{2} \)[/tex].
Here, A and B are the coordinates of the endpoints of AB.
Since no specific coordinates are provided, let's assume A and B are equally spaced on the line.
If A = 0 and B = 22, the midpoint m would be [tex]\( \frac{{0 + 22}}{2} = 11 \)[/tex].
Therefore, the midpoint of AB is 11.
To find the midpoint of line segment AB, use the midpoint formula by averaging the x-coordinates and y-coordinates of the endpoints A and B.
Explanation:The midpoint of a line segment AB can be found by using the midpoint formula. The formula is:
(x1 + x2) / 2, (y1 + y2) / 2
where (x1, y1) and (x2, y2) are the coordinates of points A and B respectively.
Plug in the values for the coordinates of A and B, and calculate the midpoint coordinates.
The question asks to find the midpoint of a line segment AB. To find this midpoint, one would typically use the midpoint formula, which is derived from the average of the x-coordinates and y-coordinates of the endpoints of the segment. The question seems to be associated with a geometry or physics context, but the process to find the midpoint remains the same. It involves adding the x-coordinates of both endpoints and dividing by 2 to find the x-coordinate of the midpoint, and doing the same with the y-coordinates for the y-coordinate of the midpoint.
The first quartile in a box-and-whisker plot would be located on what number?
Answer:
24.5
Step-by-step explanation:
When you round it you get 25. (sorry if im wrong) :(
Write the equation of the circle centered at (2,−1) that passes through (−3,3)
Answer:
y=6/-5x+1.4
Step-by-step explanation:
3--3 over -3-2 would equal 6 over -5
what is the slope of the line that passes through the points (2,4) and (6,12)
Answer:
12
Step-by-step explanation:
because yes
Answer: 2
Explanation: To solve this problem, it's important to understand that we don't need to graph the line but we can use our slope formula. One method you could use is the graphing method which requires you to plot the points but I will be showing you the slope formula.
[tex]m =\frac{ ^{y}2 - ^{y}1 }{x^{2} - x^{1} }[/tex]
We take our second y minus our first y
which in this case is 12 - 4
over our second x minus our first x
which in this case is 6 - 2.
So 12 - 4 over 6 - 2 simplifies to 8/4.
Notice that our slope can
be simplified one step further.
So 8/4 reduces to 2.
So the slope of the line that passes through these points is 2.
identify the function shown in the graph
Answer:
C
Step-by-step explanation:
The line crosses the y-axis at 3, and has a slope of -1/5. You can use the formula y=mx+b where m represents the slope and b is the point at which the line crosses the y-axis.
A cube has width of 7 cm What is the volume of the cube
Answer:
V =343 cm^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 7^3
V =343 cm^3
Which of the following is not a property for all parallelograms?
A. Opposite sides are parallel.
B. All sides have the same length.
C. Opposite angles are congruent.
D. The diagonals bisect each other.
Answer:
B. All sides have that same length, would be the correct answer.
Step-by-step explanation:
Answers A,C, and D are all properties for all parallelograms.
Option B, which states that all sides have the same length, is not a property for all parallelograms. It is only true for rhombuses, which are a special type of parallelogram.
Explanation:Among the options given, the one that is not a property for all parallelograms is:
B. All sides have the same length.This statement is not true for all parallelograms; it is a specific property of a subset of parallelograms known as rhombi (singular: rhombus), where all four sides are congruent. However, a general parallelogram only requires opposite sides to be of equal length, not all four sides. To clarify further:
Opposite sides are parallel - True for all parallelograms.Opposite angles are congruent - True for all parallelograms.The diagonals bisect each other - True for all parallelograms.The key distinction here is understanding that while rhombi share all the properties of parallelograms, not all parallelograms are rhombi.
what’s the slope of this line?
Answer:
3
Step-by-step explanation:
You find rise/run.
The rise is (5-(-7)), which is 12
The run is (1-(-3)), which is 4
12/4 = 3
Answer:
3 hope this helps! pic below :)
Step-by-step explanation:
y = 3x + 2
The function f(x) = 3x^3 - 2x is odd because
A.f(3) = f(-3)
B.f(3) = -f(3)
C.f(-3) = -f(3)
D.-f(3) = f(3)^2
E. None of these
Answer:
C
By substuting x=- 3 the answer will be negative
Consider this function.
F(x) = x - 4 + 6
If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and
its inverse related?
Since the domain of the original function is limited to x 6, the range of the inverse function is y s6.
Since the domain of the original function is limited to x> 4. the range of the inverse function is ys 1.
Since the range of the original function is limited to y > 6, the domain of the inverse function is x 26
Since the range of the original function is limited to y 4, the domain of the inverse function is x 1.
Answer:
Since the range of the original function is limited to y 6, the domain of the inverse function is x ≥ 6.
Step-by-step explanation:
The answer is the statement Since the range of the original function is limited to y > 6, the domain of the inverse function is x ≥ 6.
What is the domain of an inverse function?The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.
What is a positive slope?The positive slope definition tells us that a line with a positive slope is one where the right side of the line is higher than the left side of the line.
So, by the definition given above, we see that
if the range of the original function is limited to y > 6, the domain of the inverse function is x >= 6.
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can someone plsss helppp meee
Answer:
i think its 2.7 or 1.7 iriririeieire
Francine is selling ice cream from her shack on the ocean. She opens the shack
with 500 servings of ice cream. During the day she sells enough ice cream to
decrease her total ice cream by 65%. How many servings of ice cream does
Francine have left? *
Answer: The answer for that would be 325
Step-by-step explanation:
Answer:
175 servings
Step-by-step explanation:
So you wanna find the remaining 35%.
35*500=17500
17500/100= 175
How many solutions does -103x-6=-6x-103
Answer:
one solution
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Since this is a linear system, there can be 1, 0, or infinite solutions. In order to determine this, we need to solve this equation.
First, isolate the variables to one side:
0 = 97x -97
97x = 97
x = 1.
Thus there is one solution.
If we had gotten a statement such as 1 = 1, there would have been infinite.
If we had gotten a statement such as 1 = 0, there would have been no solution.
Which of the following is a complex number?
0 -7
O 2+√3
O 4 + 91
If f(1)=9 and f(n)=f(n-1)+2 then find the value of f(5)
Answer:
Step-by-step explanation:
hello :
f(n)=f(n-1)+2
means : f(n)-f(n-1)=2
this is the arithmetic seq when the common dif is d= 2 and the first term is : 9
the n-ieme term is : f(n) = f(1) +(n-1)d
f(n) =9+2(n-1)
f(n) = 2n+7
so : f(5) = 2(5)+7 = 17
Final answer:
The value of f(5) is determined by consecutively applying the given recursive relation, f(n) = f(n-1) + 2, starting from the initial condition f(1) = 9. After applying this process four times, we find that f(5) is 17.
Explanation:
f(1) = 9
f(n) = f(n-1) + 2
To find the value of f(5), we can use the recursive formula provided:
f(2) = f(1) + 2 = 9 + 2 = 11
f(3) = f(2) + 2 = 11 + 2 = 13
f(4) = f(3) + 2 = 13 + 2 = 15
f(5) = f(4) + 2 = 15 + 2 = 17
A restaurant has 1/3 tray of baked pasta leftover after dinner. If 6 workers share the
remaining baked pasta equally, what fraction of a tray will each worker get?
Show your work.please
Answer:
1/18
Step-by-step explanation:
1/3 divided by 6 = 1/3 x 1/6
You can multiply by the reciprocal of a number instead of dividing
1/3 x 1/6 = 1/18
Answer: The answer is 1/18
Step-by-step explanation: starting with 1/3 breaking into 1/6
e-s-s: 1/3 / 1/6 = 1/3 . 1/6 = 1/18
Nita is using ribbon for gift boxes. She has 49 feet of ribbon. She needs to wrap 16 boxes of identical size. How much ribbon can she use on each box?
3 feet
3 1/16 feet
3 1/8 feet
3 7/16 feet
NEXT QUESTION
Answer:
The answer would be B or 3 1/16.
Step-by-step explanation:
the sum of two numbers is 35. the smaller number is 21 less than the larger number. What are the numbers?
Answer:
[tex]\huge\boxed{28\ and\ 7}[/tex]
Step-by-step explanation:
[tex]x-\text{the bigger number}\\(x-21)-\text{the smaller number}\\35-\text{the sum of numbers}\\x+(x-21)-\text{the sum of numbers}\\\\\text{The equation:}\\\\x+x-21=35\qquad\text{add 21 to both sides}\\\\x+x-21+21=35+21\\\\2x=56\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{56}{2}\\\\x=28\to x-21=28-21=7[/tex]
Answer:
28+7= 35
28 and 7 are the numbers
A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded napkin spans the plate and the plate has an 18-inch diameter, what is the area of the space on the plate that is NOT covered by the napkin? Leave your answer in terms of .
Answer:
[tex]A=81(\pi-1)\ in^2[/tex]
Step-by-step explanation:
step 1
Find the area of the plate
The area of a circle is given by the formula
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=18/2=9\ in[/tex] ---> the radius is half the diameter
substitute
[tex]A=\pi (9)^{2}\\A=81\pi\ in^2[/tex]
step 2
Find the area of the square napkin folded (is a half of the area of the square napkin)
we know that
The diagonal of the square is the same that the diameter of the plate
Applying Pythagorean theorem
[tex]D^2=2b^2[/tex]
where
b is the length side of the square
we have
[tex]D=18\ in[/tex]
substitute
[tex]18^2=2b^2[/tex]
solve for b^2
[tex]b^2=162\ in^2[/tex] -----> is the area of the square
Divide by 2
[tex]162/2=81\ in^2[/tex]
step 3
Find the area of the space on the plate that is NOT covered by the napkin
we know that
The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate
so
[tex]A=(81\pi-81)\ in^2[/tex]
simplify
[tex]A=81(\pi-1)\ in^2[/tex]