Considering U = {x l x is a positive integer greater than 1} the empty set will be,
⇒ { X ∈ U and 2x is prime}
What are prime numbers?Prime numbers refers to a whole number more than 1 whose only factors are 1 and itself.
Now, A whole number that may be split evenly into another number by multiplication is referred to as a factor.
2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first few prime numbers.
Here, The number 2 is the only prime even number and hence no other prime number will be fall as an even number or a product from multiplication by 2.
Hence, Considering U = {x l x is a positive integer greater than 1} the empty set will be,
⇒ { X ∈ U and 2x is prime}
Learn more about prime numbers at:
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Can anyone help me with this? I will mark you as brainliest
Answer:
6×6×6×6×6×6×6=279936
6×6×6×6×6=7776
279936÷7776= 36
36 is the answer but u could express it as: (6²)....Six squared
Step-by-step explanation:
A polygon with 4 sides is shown with its exterior angles. The exterior angles are 140 degrees, 34 degrees, 56 degrees, and x degrees. What is the value of x?
Given:
Given that the polygon has 4 sides with its exterior angles.
The exterior angles are 140°, 34°, 56° and x°
We need to determine the value of x.
Value of x:
We know that, the exterior angles of a polygon add up to 360°
Thus, we have;
[tex]140^{\circ}+34^{\circ}+56^{\circ}+x=360^{\circ}[/tex]
Adding the terms, we have;
[tex]230^{\circ}+x=360^{\circ}[/tex]
Subtracting both sides of the equation by 230, we get;
[tex]x=130^{\circ}[/tex]
Thus, the value of x is 130°
Final answer:
The value of the unknown exterior angle x in the quadrilateral is 130 degrees, calculated by subtracting the sum of the given exterior angles from the total sum of 360 degrees.
Explanation:
The student is asking about finding the value of an unknown exterior angle (x) in a quadrilateral. In geometry, the sum of the exterior angles of any polygon always equals 360 degrees. Given that three of the exterior angles are provided as 140 degrees, 34 degrees, and 56 degrees, we can find the value of the unknown exterior angle x degrees by subtracting the sum of these provided angles from 360 degrees.
First, we add the given angles:
140 degrees + 34 degrees + 56 degrees = 230 degrees
Next, we subtract the total from 360 degrees to get the value of x:
360 degrees - 230 degrees = 130 degrees
Therefore, the value of x, the unknown exterior angle of the quadrilateral, is 130 degrees.
i can’t figure this out!! please helppp
Answer:
The third answer
Step-by-step explanation:
(side note: You probably need to use a calculator that can calculate pi)
The formula to find the area of a circle is pi r squared.
In this case, pi times r squared is 19.63495....... continued
This is probably going to be rounded
so... 19.63
For all of the circles, this is multiplied by 4.
This is 78.52
The area of the square is 100 cm since 10 times 10 is 100
You take 100 cm and then subtract it by 78.54
Voila! now you have 21.46
i would be so greatful if someone can help me with this
Variable expression:
Four times the result of 3 times a number subtracted from 2.
Answer:
8-12n
Step-by-step explanation:
We can name "a number," "n."
4(2-3n)
Distribute.
4*2=8
4*-3n=-12n
8-12n
what is the value of x?
(geometry question)
Given:
The interior angles of the triangle are 44°, 3t - 45° and x - 15°
The exterior angle of the triangle is 4t - 29°
We need to determine the value of x.
Value of t:
The value of t can be determined using the exterior angle theorem.
Applying the theorem, we have;
[tex]44+3t - 45=4t-29[/tex]
[tex]3t - 1=4t-29[/tex]
[tex]-t - 1=-29[/tex]
[tex]-t=-28[/tex]
[tex]t=28[/tex]
Thus, the value of t is 28.
Value of x:
The exterior angle 4t -29 and the interior angle x - 15 are linear pairs.
Since, linear pairs add up to 180°, we have;
[tex]4t-29+x-15=180[/tex]
Substituting t = 28, we get;
[tex]4(28)-29+x-15=180[/tex]
[tex]112-29+x-15=180[/tex]
[tex]x+68=180[/tex]
[tex]x=112[/tex]
Thus, the value of x is 112.
Nick cleans his room in 1 10 in a hour room for 3 minutes
This word problem doesn't make sense. Rephrase then I can solve. I believe you need units for the 110. I do not know what the 110 is.
What is the area of the SHADED sector of the circle?
Answer:
565.2 units²
Step-by-step explanation:
(162/360) × pi × r²
(162/360) × 3.15 × 20²
565.2
help plz
6yd - 2ft 7in
Please help if you can
Thank you!!
Answer:
0.67
Step-by-step explanation:
2/6 is shaded red, and 4/6 is shaded white. 4/6 is simplified to 2/3, 2/3 as a decimal is 0.67.
Select the correct answer.
Kendall rented a truck to move some of his household items. The figure shows the inside dimensions of the truck.
14
ft.
What is the volume of the truck?
621 1 cu.ft.
558
cu.ft
1,116
cu.ft
494 1 cu.ft.
Answer:
6211 c.u. ft.
Step-by-step explanation:
Answer:
621 11/16 cu. ft.
Step-by-step explanation:
This figure shows one way to decompose the shape.
PLEASE HELP FOR 13 POINTS AND BRAINLIEST! ;)
Answer:
No because even though you aren't actually picking the exact people yo do and don't wanna survey but your only surveying those who buy hot lunches when in order to get accurate data, you have to survey everyone who bought hot and cold lunches from the school cafeteria.
Help me find my answer please
Answer:
f = - [tex]\frac{19}{7}[/tex]
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition that f = - 19 when m = 14, thus
- 19 = 14k ( divide both sides by 14 )
- [tex]\frac{19}{14}[/tex] = k
f = - [tex]\frac{19}{14}[/tex] m ← equation of variation
When m = 2, then
f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]
Identify the x- and y-intercepts of the graph
Answer:
see explanation
Step-by-step explanation:
The x- intercept is where the graph crosses the x- axis, that is
( [tex]\frac{1}{3}[/tex], 0 )
The y- intercept is where the graph crosses the y- axis, that is
(0, 1 )
A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens and pencils were purchased if there were 80 more pencils than pens?
Answer:
120 pens and 200 pencils
Step-by-step explanation:
Let the number of pencils bought be x while pens will be y.
Cost
Considering that a pen costs $1 then for y pens, the cost will be y*$1=$y
The pencils cost $0.5 then for x pencils the cost will be $0.5*x=$0.5x
Total cost is $220 hence expressed as
0.5x+y=220
Quantity
Since the number of pencils, x were more than number of pens, y by 80 pieces then
x=80+y
Since we initially had the equation 0.5x+y=220 then we substitute x with 80+y hence
0.5(80+y)+y=220
40+0.5y+y=220
1.5y+40=220
1.5y=220-40=180
y=180/1.5=120
Since x=y+80 and y is found to be 120 then
x=120+80=200
Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two
integers?
-23
-5
9
14
Answer:
23
Step-by-step explanation:
here
9 and 14. are numbers
sum is 9 +14 = 23
The radius of a circle is 3 m. Find its area to the nearest tenth
Answer:
28.26
Step-by-step explanation:
3^2*3.14 = 28.26
To find area you square the radius and then multiply by 3.14 or π pi
Rounded to the nearest tenth, the area of the circle is approximately 28.3 square meters.
To find the area of a circle, we can use the formula:
Area = π (radius)²
Given that the radius is 3 meters, we substitute this value into the formula:
Area = π(3²)
Area = 9π
Since we are asked to round the area to the nearest tenth, we can approximate the value of π as 3.14:
Area ≈ 3.14 x 9
Area ≈ 28.26
Rounded to the nearest tenth, the area of the circle is approximately 28.3 square meters.
The area of a circle is calculated by multiplying the square of its radius by the mathematical constant π (pi). In this case, with a radius of 3 meters, the area is approximately 28.3 square meters. Rounding the decimal to the nearest tenth gives us the final result of 28.3 square meters.
To learn more about the circle;
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Which expression is equivalent to 81 Superscript one-third?
Answer:
A. on edge
Step-by-step explanation:
Answer:
A) 3[tex]\sqrt[3]{3}[/tex]
Step-by-step explanation:
Hope this help, I got it right on Edge.
What is the y-intercept?
Answer:
The y-intercept is 0
Step-by-step explanation:
I need help guys I don’t understand this
Answer:
3:2 Three boxes next to two boxes.
Step-by-step explanation:
A ratio is like comparing things to others. Like if I had 3 cookies and you had 2 cookies the ratio would be 3:2. Three boxes next to two boxes.
Which equation can be used to find the volume of this solid? A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 2 centimeters.
HHHHHHHHHHHHHEEEEEEEEEEEELLLLLLLLLLLLPPPPPPPPPPP MMMMMMMMMEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I think its A
Step-by-step explanation:
Answered a question like that in my test
Answer:
A) V=2x4x5
Step-by-step explanation:
because im a helping hand
What type of number can be written as a fraction p/q, where p and q are
integers and qis not equal to zero?
Answer:
Rational Numbers.
Step-by-step explanation:
These include terminating and repeating decimals. Numbers that can't be expressed as the type of fraction you've described are called Irrational Numbers.
How long does it take a runner to run 12km if he is running at a speed of 7km/h
Answer:
about an hour and 42 minutes
Step-by-step explanation:
Time=Distance/Speed
Answer:
1.714285714285714 hours
Step-by-step explanation:
12/7
What is the probability that a person older than 35 has a hemoglobin level less
Answer:
has a hemoglobin level between 9 and 11 is 0.284.
Step-by-step explanation:
What is the Vertex? y = 3x ^2 + 12x − 10
Answer: -2,-22
Step-by-step explanation:
what two fractions are between 6/9 and 7/9
How many degrees are in the period of y = cos (3x)
Answer:
Step-by-step explanation:
cos(3x)=cos (3x+2π)=cos (3x+360)
period for 3x=360°
period=360/3=120°
Final answer:
The period of the function y = cos(3x) is π/3 or 120 degrees, since the coefficient '3' in the function's argument compresses the usual period of cos(x) by a factor of three.
Explanation:
The period of a trigonometric function represents the length of one complete cycle of the function. For the function y = cos(3x), we are dealing with a cosine function that has been horizontally compressed by a factor of 3. The standard period of the cosine function is 2π radians. However, the presence of the 3 within the argument of the cosine function means that the period is reduced by a factor of 3, because the function completes its cycle 3 times faster than the standard cosine function.
To find the period of the given function, we divide the standard period of the cosine function by the coefficient of the x variable inside the function:
Standard period of cos(x) = 2πPeriod of cos(3x) = ÷ 3Calculated period = 2π / 3Therefore, the period of y = cos(3x) is π/3 or approximately 120 degrees.
A scenic overlook which extends over a ravine is shaped like a kite.
Find M
A) 105°
B) 102°
C) 51°
D) 204°
Answer:
b
Step-by-step explanation:
i did jajajajajajaja jajajajjaja
the measure of angle X is [tex]\( 104^\circ \).[/tex]
To calculate the measure of angle X in a kite-shaped scenic overlook, we'll follow these steps:
Write the equation representing the sum of the measures of all the angles in the kite, which is [tex]\( 360^\circ \).[/tex]
Identify the two angles that are equal in the kite, which are angles X and Z.
Write the equation representing the sum of these angles and the given angle measures.
Solve for the measure of angle X.
Now, let's perform the calculation:
Equation representing the sum of the measures of all the angles in the kite:
[tex]\[ \angle X + \angle Y + \angle Z + \angle W = 360^\circ \][/tex]
Identify the two equal angles:
Since the kite has two pairs of adjacent sides that are equal, the angles opposite these sides will be equal. So, [tex]\( \angle X = \angle Z \).[/tex]
Write the equation representing the sum of these angles and the given angle measures:
[tex]\[ \angle X + 40^\circ + \angle X + 112^\circ = 360^\circ \][/tex]
Solve for the measure of angle X:
[tex]\[ 2\angle X + 152^\circ = 360^\circ \] \[ 2\angle X = 360^\circ - 152^\circ \] \[ 2\angle X = 208^\circ \] \[ \angle X = \frac{208^\circ}{2} \] \[ \angle X = 104^\circ \][/tex]
So, the measure of angle X is [tex]\( 104^\circ \).[/tex]
The complete question is:
A scenic overlook which extends over a ravine is shaped like a kite.
Find mZX
A) 105°
B) 102°
C) 51°
D) 204°
Find the surface area of the triangular prism (above) using its net (below).
Answer:
96 square units
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
The length of the large rectangle is: 5 The width of the large rectangle is: 7=> Area of the large rectangle = length × width = 7*5 = 35 square units
The length of the middle rectangle is: 7The width of the middle rectangle is: 4=> Area of the middle rectangle = length × width = 7*4 = 28 square units
The length of the small rectangle is: 7The width of the small rectangle is: 3=> Area of the small rectangle = length × width = 7*3 = 21 square units
Area of top and the bottom triangles =2* [tex]\frac{1}{2}bh[/tex] [tex]= 4*3 =12[/tex]
Total surface area = 35 + 28 + 21 + 12 = 96 square units
Answer:
It is 136
Step-by-step explanation:
Rectangle ABCD has four right angles.
1. What is the sum of its angle measures?
Answer:
Step-by-step explanation:
Step 1: 1 angle 90
4 angle -> 360