Answer:
860 cards
Step-by-step explanation:
\(\frac{5}{100} =\frac{43}{x}\)
43 cards only represents 5% of the total cards sold on Mother's Day. So create proportions and solve for the number of cards that represents 100%.
5x = 43*100
5x = 4300
x = 860
Choose the definition that best describes each term.
line
line segment
ray
point
part of a line that consists of an endpoint and all points on the line that extend in one direction
a straight arrangement of points extending without end in opposite directions
has no dimension; is one of the undefined terms of geometry
part of a line that consists of two points called endpoints and all of the points between those endpoints
Explanation:
line ⇒ a straight arrangement of points extending without end in opposite directions.
line segment ⇒ part of a line that consists of two points called endpoints and all of the points between those endpoints.
ray ⇒ part of a line that consists of an endpoint and all points on the line that extends in one direction.
point ⇒ has no dimension; is one of the undefined terms of geometry. Some may also refer to a point as a dot or dots on a line.
If <3 measures 123°, what is the measure of <4?
The value of angle 4 is 57°
How to determine the angle
From the image shown, we can see that angle 3 and angle 4 are on a straight line.
It is important to note that angles on a straight line sum up to 180 degrees.
We have angles 1 and 2 are supplementary, that is, they sum up to 180 degrees
Angles 3 and 4 are also supplementary and sum up to 180 degrees
Angles 5 and 6 are also supplementary.
Then, if angle 3 = 123 , we have;
angle 3 + angles 4 = 180
123 + angle 4 = 180
Angle 4 = 180 - 123
Angle 4 = 57°
Thus, the value of angle 4 is 57°
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Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3
Answer: y-5=-3(x-10)
Step-by-step explanation:
What are the square roots of each perimeter of a rectangle?
Answer:
Step-by-step explanation:
The perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.
Answer:
The first method
Take a square root, then multiply it by 4.
The defining characteristic of a square is that its length is equal to its width. Take a look below:
Self-created
So, for this particular square, the area is length⋅width, or x⋅x=x2. Now, how can you go from this to perimeter?
Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x.
Therefore, if given an area, all you'd do is take the square root (to get from x2 to x, and then multiply by 4 to find perimeter.
The second method
s=√A
P=4×s
Explanation:
To find the perimeter of square, you just need to know the length of one side, because in a square all the sides are the same length.
If you know the area, find the square root of it to find the side.
s2=A
∴s=√A
Now you multiply by 4
For example, if the area is 36cm2
A=36
s=√36=6
P=4×6=24
Step-by-step explanation:
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The probability of not rolling a 2 or 3 is 2/3
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes
Since Paris is not interested in rolling a 2 or 3, the number of favorable outcomes will be ?
Number of favorable outcomes = 6 - 2 = 4
Total number of outcomes = 6
The probability of not rolling 2 or 3 = 4 / 6 = 2/3
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A polynomial function of degree n has at most _____ real zeros and at most _____ turning points.
A polynomial function of degree n has at most n real zeros and at most n - 1 turning points.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
A polynomial function
Now,
Because of the Fundamental Theorem of Algebra states that a polynomial function of degree n has exactly n complex roots (or zeros), some of which may be repeated or non-real. The number of real roots is equal to or less than the number of complex roots.
A turning point is a point where the graph of the polynomial function changes direction from increasing to decreasing or vice versa. The number of turning points is equal to or less than one less than the degree of the polynomial function. This is because each turning point corresponds to a change in the sign of the first derivative of the function, and the first derivative is a polynomial function of degree n - 1.
Therefore, by the function the answer will be n - 1.
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Please help me answer 23, 24, 25 and 26!!!
Answer:
23. c
24.b
25. box 2
26. 48, 26
Step-by-step explanation:
Mari is adding (-7) and (-2). She adds their absolute values and says the answer is 9.
What did Mari forget?
A
that is neither positive nor negative
B
to move left on the number line
С
to keep the sign of the larger integer
D
to keep the sign of the two integers being added
Answer:
ari is adding (-7) and (-2). She adds their absolute values and says the answer is 9.
What did Mari forget?
A
that is neither positive nor negative
B
to move left on the number line
С
to keep the sign of the larger integer
D
to keep the sign of the two integers being adde
Step-by-step explanation:
how many solutions are there to square root x =9
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
geniuses/aces/trusted helpers help me plz!
What is the slope of the line represented by the equation 2x+3y= –12 ?
Answer:
\(\boxed{m} = - \frac{2}{3} \)
Step-by-step explanation:
\(in \: other \: to \: get \: the \: slope \: of : \\ 2x+3y= –12 \\ the \: equation \: needs \: to \: be \: in \: the \: form : \\ y = mx + c \\ \\ where \: m \: is \: the \: slope \\ hence : \\ 2x + 3y = - 12 \\ 3y = - 2x - 12 \\ y = - \frac{ 2}{3} x - 4 \\ therefore \: the \: slope \: \boxed{m} = - \frac{2}{3} \)
♨Rage♨
pls answer need help.
Answer:
No
Step-by-step explanation:
5+10<17
What types of decimals are rational numbers
Answer:
Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.
Step-by-step explanation:
braniest pls
Answer:
In general, any decimal that ends after a number of digits such as 7.3 or −1.2684 is a rational number. We can use the place value of the last digit as the denominator when writing the decimal as a fraction.
Step-by-step explanation:
A bag contains 6 blue marbles, 5 yellow marbles, 3 white marbles, and 1 red marble.
What is the probability of not selecting a white marble?
A. 2/3
B. 3/4
C. 4/5
D. 1/5
Please explain how you got the answer so I can learn
Any links and you will be reported please help
\(6 + 5 + 3 + 1 = 15 \: marbles\)
Total number of possibilities excluding white marbles:\(6 + 5 + 1 = 12 \: marbles\)
The probability of an event occuring is given by:\(p(a) = \frac{number \: of \: possibilities}{total \: number \: of \: possibilities} \)
\(p(a) = \frac{12}{15} = \frac{4}{5} \)
Letter CAnswer:
The total number of marbles in the bag is:
6 blue marbles + 5 yellow marbles + 3 white marbles + 1 red marble = 15 marbles
The probability of not selecting a white marble can be calculated as follows:
Number of non-white marbles / Total number of marbles
There are a total of 15 - 3 = 12 non-white marbles in the bag (6 blue marbles + 5 yellow marbles + 1 red marble).
So the probability of not selecting a white marble is:
12 / 15 = 4/5
Therefore, the answer is C) 4/5.
Step-by-step explanation:
When finding the difference in elevations, should you only consider the absolute value of the difference? Why or why not? HELP ME WITH THIS PLEASE!!!
No, when finding the difference in elevations we should not consider only the absolute value of the difference because elevation differences can give a negative value as well.
What is absolute value?Absolute value describes the distance from zero that a number is on the number line, without considering direction.
We know that while measuring elevation there can be a positive value which means that the distance measured is above sea level and there can also be a negative value elevation which means that the distance measured is below sea level.
For example:
If we are measuring the difference in distance of two points below sea level.
One point is at -6 feet
Another point is at -14 feet
The difference between these points is:
= -14 - (-6)
= -14 + 6
= -8
We can have a negative difference in elevation but the absolute value will always give a positive value.
Therefore,
No, when finding the difference in elevations we should not consider only the absolute value of the difference because elevation differences can give a negative value as well.
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the picture below shows the shape of a design painted on the side of a building. The design was formed by combining triangles and rectangles.
What is the area of the wall covered by the design?
Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.
What exactly does an area mean?The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.
Here,
We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.
Taking a look at the rectangle first, we can observe that it has the following area:
=> 120 square feet= 10 feet x 12 feet.
=> 40 square feet = (1/2)(10 ft)(8 ft).
Consequently, the two triangles' combined area is:
=> 80 square feet = 2 x 40 square feet.
=> (12 square feet) = (1/2)(6 ft)(4 ft).
The total area of all the shapes is as follows:
=> 212 square feet= 120 square feet, 80 square feet, and 12 square feet.
=> 212 square feet of the wall are therefore covered by the design.
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Answer: the answer is 261 ^2 ft!
Step-by-step explanation:
Two vertices of a rectangle are (-10,-7) and (-10,18) what is the length of this side of the rectangle
What does (−6)−(−7)(−4) equal?
Answer:
i think its -4 but i am not confident with my answer as its been awhile since i done any math
Step-by-step explanation:
-6-(-7)×-4
-6+7×-4
1×-4
-4
help pls i need this thanks
Answer:
I think it's A/the first one
Step-by-step explanation:
What is the value of v?
Answer:
70 degrees.
Step-by-step explanation:
They are vertical angles, and vertical angles are always congruent.
Show that (n + 3)7 ∈ Θ(n7) for
non-negative integer n.
Proof:
To show that `(n + 3)7 ∈ Θ(n7)`, we need to prove that `(n + 3)7 = Θ(n7)`.This can be done by showing that `(n + 3)7 = O(n7)` and `(n + 3)7 = Ω(n7)` .Now, let's prove the two parts separately:
Proof for `(n + 3)7 = O(n7)`.
We want to prove that there exists a positive constant c and a non-negative constant k such that `(n + 3)7 ≤ cn7` for all `n ≥ k`.Using the Binomial theorem, we can expand `(n + 3)7` as:```
(n + 3)7
= n7 + 7n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + 37
≤ n7 + 21n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + n7
≤ 2n7 + 21n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6
≤ 2n7 + 84n6 + 441n5 + 2205n4 + 10395n3 + 45045n2 + 153609n + 729
```Thus, we can take `c = 153610` and `k = 1` to satisfy the definition of big-Oh notation. Hence, `(n + 3)7 = O(n7)`.Proof for `(n + 3)7 = Ω(n7)`We want to prove that there exists a positive constant c and a non-negative constant k such that `(n + 3)7 ≥ cn7` for all `n ≥ k`.Using the Binomial theorem, we can expand `(n + 3)7` as:```
(n + 3)7
= n7 + 7n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + 37
≥ n7
```Thus, we can take `c = 1` and `k = 1` to satisfy the definition of big-Omega notation. Hence, `(n + 3)7 = Ω(n7)`.
As we have proved that `(n + 3)7 = O(n7)` and `(n + 3)7 = Ω(n7)`, therefore `(n + 3)7 = Θ(n7)`.Thus, we have shown that `(n + 3)7 ∈ Θ(n7)`.From the proof, we can see that we used the Binomial theorem to expand `(n + 3)7` and used algebraic manipulation to bound it from above and below with suitable constants. This technique can be used to prove the time complexity of various algorithms, where we have to find the tightest possible upper and lower bounds on the number of operations performed by the algorithm.
Hence, we have shown that `(n + 3)7 ∈ Θ(n7)` for non-negative integer n.
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For the line that has the equation 3 x_1 +5 x_2=30, an axis intercept is: A) (10,6) B) (0,8) C) (6,10) D) (10,0)
The equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6). Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.
The equation given is 3x₁ + 5x₂ = 30. To find the axis intercept, we need to determine the points at which the line intersects the x₁ and x₂ axes. To find the x₁-axis intercept, we set x₂ = 0 and solve for x₁ 3x₁ + 5(0) = 30 3x₁ = 30
x₁ = 10
So, the x₁-axis intercept is (10, 0) which corresponds to point D in the given options. To find the x₂-axis intercept, we set x₁ = 0 and solve for x₂: 3(0) + 5x₂ = 30 5x₂ = 30 x₂ = 6 Therefore, the x₂-axis intercept is (0, 6) which corresponds to point C in the given options. To summarize, the equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6).
In the given options, option A (10, 6) is not an intercept on either axis. Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.
Remember, the x₁-axis intercept is found by setting x₂ = 0, and the x₂-axis intercept is found by setting x₁ = 0 in the equation.The correct answer is option D
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Greyson reads 36 1/3 pages in 40 minutes, or 2/3 of
an hour. At this rate, how many pages can he read
in one hour?
Answer:
18 1/6+31 1/3= 49 1/2 pages in one hour.
Step-by-step explanation:
Hope this help and have a wonderful day!!!
Question 18 HIPAA and require that institutions establish strong internal controls to mitigate risks and protect data centers from data breacher OA. the health insurance portability and accountability
HIPAA (Health Insurance Portability and Accountability Act) regulations require that institutions establish strong internal controls to mitigate risks and protect data centers from data breaches. HIPAA provides a national framework for securing health data.
What is HIPAA?HIPAA is a United States federal law that was enacted in 1996. The act's primary purpose is to ensure that individuals can keep their health insurance when they switch jobs. HIPAA also aims to protect the confidentiality and privacy of medical records. HIPAA regulations establish a national standard for privacy and security of protected health information (PHI).
It also requires institutions to set up effective internal controls to prevent the unauthorized disclosure of PHI. HIPAA has become the national framework for securing health data. HIPAA regulations require that institutions establish strong internal controls to mitigate risks and protect data centers from data breaches. HIPAA provides a national framework for securing health data.
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A vehicle travels 57 kilometers north and then travels 26 kilometers south. What is the current position of the vehicle? (2 points) a 26 kilometers south of its starting location. b 83 kilometers from its starting location. c 31 kilometers north of its starting location. d 83 kilometers north of its starting location.
Answer:
C. 31 kilometers north of its starting location
Step-by-step explanation:
Please see attached a rough sketch of the situation for your reference.
Step one:
Displacement North= 57km
Displacement South= 26km
Required
The final displacement
The current position is attained by subtracting 26km from 57km
=57-26= 31km
Therefore the current position is
C. 31 kilometers north of its starting location
Answer:
C
Step-by-step explanation:
The answers are in the picture. I need help ASAP!
The perimeter of a hexagon is the sum of the lengths of its six sides. The side length of the hexagon is found by dividing the perimeter by 6, and the area can be calculated using the formula: Area = (3√3 / 2) × s². Substituting the side length and solving yields the area of the hexagon. In this case, the area is 294√3.
What is hexagon?A hexagon is a six-sided polygon that has six angles and six vertices. It is a flat shape with straight sides that are of equal length and interior angles that add up to 720 degrees.
What is perimeter of hexagon?The perimeter of a hexagon is the total length of all six sides of the polygon. To find the perimeter, you add up the lengths of all the sides.
According to the given information:
To find the side length of the hexagon, we can use the fact that the perimeter of the hexagon is 84. Since a hexagon has six sides of equal length, the length of one side can be found by dividing the perimeter by 6:
84 / 6 = 14
Therefore, the side length of the hexagon is 14.
To find the area of the hexagon, we can use the formula:
Area = (3√3 / 2) × s²
where s is the length of one side of the hexagon. Substituting s = 14, we get:
Area = (3√3 / 2) × 14²
Area = (3√3 / 2) × 196
Area = 294√3
Therefore, the area of the hexagon is 294√3.
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.................................
Answer:
88.27
Step-by-step explanation:
Line / is parallel to line m. The slope of line / is 2/7. What is the slope of line M ?
Answer:
The slope would also be 2/7.
Step-by-step explanation:
The two lines are parallel, meaning that they follow the same slope. If line / has a slope of 2/7, then line M must have the same slope as well. I hope this helps! :)
answer for 5 stars pls I need it quick
Answer:The answer is 1/x^12y
Step-by-step explanation:
a student draws a line says that it is 10cm long.when it is carefully measured.the truth length is 10.2cm .what is the percentage error in the drawing
Answer:
1.96%
Step-by-step explanation:
→ Minus the 2 numbers
10.2 - 10 = 0.2
→ Divide by the original 10.2
0.0196078
→ Times by 100
1.96%
the absolute threshold is defined as the minimum ____.
The absolute threshold is defined as the minimum detectable stimulus or intensity.
The absolute threshold refers to the minimum amount or level of a stimulus that is required for it to be detected or perceived by an individual. It is the point at which a stimulus becomes perceptible or noticeable to a person.
In sensory psychology, the absolute threshold is typically measured in terms of the lowest intensity or magnitude of a stimulus that can be detected accurately by a person at least 50% of the time. It represents the boundary between the absence of perception and the presence of perception.
The absolute threshold can vary depending on the sensory modality being tested. For example, in vision, it may refer to the minimum amount of light required for a person to see an object. In hearing, it may represent the minimum sound intensity needed for an individual to hear a tone.
Several factors can influence the absolute threshold, including individual differences, physiological factors, and the nature of the stimulus itself. Factors such as sensory acuity, attention, fatigue, and background noise can all affect an individual's ability to detect a stimulus.
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