Answer: I
think n is 5
Step-by-step explanation:
Find the area of the triangle.
3).
Answer:
86.60254
Step-by-step explanation:
30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)
5. When
is the heart fully formed?
consider the following statement: for the following questions, the universe of discourse consists of all people. be the predicate write the statement as a universal statement a. b. c. d. write the statement as an existential statement a. b. c. d. write the existential statement in english a. there exists someone who is not good at sports b. there exists someone who is good at sports c. there does not exist someone who is good at sports d. there does not exist someone who is not good at sports
The universal statement is ∀x ¬ P(x). The existential statement is ∃x ¬ P(x) and the existential statement in English is "there exists someone who is not good at sports".
In the universal statement, the negation symbol ¬ in front of the predicate P(x) means "not good at sports." So, ∀x ¬ P(x) can be read as "for all x in the universe of discourse, x is not good at sports."
In the existential statement, the negation symbol ¬ in front of the predicate P(x) means "not good at sports." So, ∃x ¬ P(x) can be read as "there exists x in the universe of discourse such that x is not good at sports."
Therefore, the statement "Not everyone is good at sports" can be represented in symbols as ∀x ¬ P(x) as a universal statement and as ∃x ¬ P(x) as an existential statement. The existential statement can be rephrased as "there exists someone who is not good at sports."
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The complete question is -
consider the following statement: Not everyone is good at sports. for the following questions, let the universe of discourse be the set of all people. P(x) be the predicate x is good at sports.
1. write the statement as a universal statement.
a. ∀x ¬ P(x)
b. ¬ ∀x ¬ P(x)
c. ¬ ∃x ¬ P(x)
d. ¬ ∀x(P(x))
2. write the statement as an existential statement.
a. ∃x ¬ P(x)
b. ¬ ∃xP(x)
c. ¬ (∃xP(x))
d. ∃xP(x)
3. write the existential statement in English.
a. there exists someone who is not good at sports
b. there exists someone who is good at sports
c. there does not exist someone who is good at sports
d. there does not exist someone who is not good at sports.
help plsplsplspslpssl help meee
Answer:
B) 400
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Find the product
3(z+4)(x-5)
Answer:
3zx-15z+12x-60
Step-by-step explanation:
first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20
then distribute the 3 to get the answer
Name 2 alternate exterior angles
Answer: Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles.
Step-by-step explanation:
Find the HCF of 25 and 50
Answer:
the greatest common factor of 20 and 50 is 5.
have a nice day <3
Answer:
the answer provided by the other user is correct
=5
Whats the median of 79, 70, 85, 77.5
The median of the set {79, 70, 85, 77.5} is 78.25. The median is a statistical measure that refers to the center value in an ordered data set.
The median of a set of numbers is the number that lies in the middle of that set when the numbers are arranged in numerical order.
The following is an example of how to find the median of a set of numbers:What is the median of 79, 70, 85, and 77.5? Arrange the data in numerical order first:70, 77.5, 79, 85.
Since there are an even number of values in this set, the median is the average of the two middle numbers. The two middle numbers in this set are 77.5 and 79. So, to find the median, we need to add them up and divide by two:77.5 + 79 = 156.5156.5 ÷ 2 = 78.25.
Therefore, the median of the set {79, 70, 85, 77.5} is 78.25.
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The ratio of males to females in the class is 5 to 9. If the lunchroom has the same ratio but 45 females, how many males are in the lunchroom?
Answer:
25
Step-by-step explanation:
45 times 5 = 225
225 divided by 9 = 25
Answer:
25
Step-by-step explanation:
5:9 and x:45
45*5/9 which is 25
Hope this helps!
Farmer Jane picked 2,522 strawberries. She shared the strawberries among 9 bins. She wrote an equation to find the total number of strawberries in each bin. 2,522 ÷ 9 = 280 r2. What does the number 2 represent about Farmer Jane's strawberries?
It represents the number of bins left over.
It represents the number of bins the strawberries were shared into.
It represents the number of strawberries that need to be divided.
It represents the number of strawberries that were not placed in bins. And will get 5 points
D. It represents the number of strawberries that were not placed in bins.
How many real solutions does the system have ? y = - 3x - 1; y = x ^ 2 - 3x + 4
The only solution the system of the equation has is x = -1/3.
The number of solutions is one.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
The system of equations:
y = -3x - 1
y = x² - 3x + 4
The solutions of the equation.
y = 0
So,
-3x - 1 = 0
-3x = 1
x = -1/3
x² - 3x + 4 = 0
It is in the form of ax² + bx + c = 0
a = 1, b = -3, and c = 4
Now,
x = -b ± √(b² - 4ac) / 4a
x = 3 ± √(9 - 16) / 4
x = 3 ±√-7 / 4
x = 3 ±i√7 / 4
This is a complex root.
So,
These are not real solutions.
Thus,
The only solution the system of the equation has is x = -1/3.
The number of solutions is one.
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Please help answer my question
Answer:
x = 6
Step-by-step explanation:
This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:
(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²
From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.
3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²
3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²
Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:
8x - 20 = 5x - 2
Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.
8x - 20 = 5x - 2
8x - 20 - 5x = 5x - 2 - 5x
3x - 20 = -2
3x - 20 + 20 = -2 + 20
3x = 18
3x/3 = 18/3
x = 6
Hopefully that's helpful! Let me know if you need more help. :)
2,239 ÷ 7
Division compatible numbers
Answer:the answer is 319.857 and round to 320
Step-by-step explanation:
Choose the equation of a circle with radius 6 and center (2, -3).
Answer: \((x-2)^2 + (y+3)^2 = 36\\\\\)
Work Shown:
\((x-h)^2 + (y-k)^2 = r^2\\\\(x-2)^2 + (y-(-3))^2 = 6^2\\\\(x-2)^2 + (y+3)^2 = 36\\\\\)
Note that (h,k) = (2,-3) is the center and r = 6 is the radius. The last line is not expanded out using the FOIL rule because its common practice to leave it in \((x-h)^2 + (y-k)^2 = r^2\\\\\) form. This form allows the reader to quickly determine the center and radius (rather than have to do a lot of algebraic steps before hand).
Which represents the solution(s) of the equation x2 = 324? A) x = 18 B) x = ± 18 C) x = − 324 D) x = ± 324
Answer:
A
Step-by-step explanation:
x = 18
Use absolute value to express the distance between -12 and -15 on the number line
A: |-12-(-15)|= -37
B: |-12-(-15)|= -3
C: |-12-(-15)|= 3
D: |-12-(-15)|= 27
A linear function contains these points: (0,-1) & (3,8)
What is the slope and y-intercept of this function?
Answer:
slope: 3
y-intercept: (0, -1)
Find slope:
\(\sf slope : \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)
Here given points are: (0, -1), (3, 8)
\(\rightarrow \sf slope : \dfrac{8-(-1)}{3-0} = \dfrac{9}{3} = 3\)
When finding y-intercept, the value of x is 0. Here given y is -1 when x is 0.
y-intercept: -1 or (0, -1)
\(\Large\maltese\underline{\textsf{A. What is Asked}}\)
If a linear function contains these points: (0,-1) and (3,8), what is its slope and y-int.?
\(\Large\maltese\underline{\textsf{B. This problem has been solved!}}\)
Formula utilised, here \(\bf{\dfrac{y2-y1}{x2-x1}}\).
Put in the values,
\(\bf{\dfrac{8-(-1)}{3-0}}\) | subtract on top and bottom
\(\bf{\dfrac{9}{3}}\) | divide on top and bottom
\(\bf{3}\)
The y-intercept is the second co-ordinate of the point (0,-1)
\(\bf{Which\;is\;-1}\).
\(\cline{1-2}\)
\(\bf{Result:}\)
\(\bf{\begin{cases} \bf{Slope=3} \\ \bf{Y-int. -1} \end{cases}\)
\(\LARGE\boxed{\bf{aesthetic\not1 \theta l}}\)
which choice correctly expresses the number below in scientific notation?
0.000611
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
6.11/104
The picture shows the top view of a piece of glass. A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet. Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply. A. A = 2 1 2 × 4 B. A = 5 2 + 4 C. A = ( 2 1 2 + 2 1 2 ) + ( 4 + 4 ) D. A = 5 2 × 4 E. A = ( 2 × 2 1 2 ) + ( 2 × 4 ) F. A = 2 1 2 + 4 answer and u get brainlyest
Answer:
d. and e.
Step-by-step explanation:
i did the test
Option A and Option D represents the equation of area of rectangular piece which are A=4×\(2\frac{1}{2}\) and A=4×5/2.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that A rectangular piece of glass is shown.
The length is measured as 4 feet.
The width is measured as 2 and one-half feet.
We have to find the equations can be used to find the area of the piece of glass.
Area=Length×width
Area=4 feet × 2 and one-half feet
=4×\(2\frac{1}{2}\)
=4×5/2
Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×\(2\frac{1}{2}\) and A=4×5/2.
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determine whether (7,8) is a solution of 7x+9y=11
Answer:
(7, 8) is NOT a solution to the equation
Step-by-step explanation:
x = 7 and y = 8 so fill those into the equation
7(7) + 9(8) = 11
49 + 72 = 11
121 = 11
this makes the equation NOT true
So no, (7, 8) is NOT a solution to the equation
find the radius and diameter of a circle with a circumference of 51π
Answer:
Radius = 25.5 units
Diameter = 51 units
Step-by-step explanation:
r = radius of circle
d = Diameter of circle
= \(2r\)
Circumference of circle = \(2\pi r\)
Substitute the provided value of the circumference:
\(51\pi = 2\pi r\)
r is to be isolated and made the subject of the formula:
\(r = \frac{51\pi}{2\pi}\)
\(\pi\) in the numerator and denominator cancel each other outcompletely:
\(r = \frac{51}{2}\)
∴r = radius of circle = 25.5 units
This also means that:
\(d = 2r\)
\(d = 2(25.5)\)
∴d = Diameter of the circle = 51 units
omplete the paragraph proof.
Given: and are right angles
Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C
Prove: Line A R bisects Angle B A C
Triangles A B R and R C A share side R A. A line is drawn from point B to point C and intersects side A R at point P.
It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).
Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.
Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.
With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.
This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.
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These shapes are similar.
Find X.
X
5
9
27
15
21
The value of X is 7.
Given that the set of number are in pattern,
X, 5, 9, 27, 15, 21.
To find the value of X such that given numbers are in pattern.
The next three number are three times of first three numbers respectively.
Let a, b, c is the first three numbers then 3a, 3b, 3c are next three numbers.
Consider the given set of numbers, X, 5, 9, 9 × 3, 5 × 3, 21.
By using the data and the pattern set gives,
3X = 21.
Divide by 7 on both sides,
X = 7.
Hence, the value of X is 3
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Please help me with this
Answer:
m9 = 115
m4 =110
m10=65
m11= 70
m8= 70
m5 = 65
m3 = 70
m14 = 115
josslyn placed $4,400 in a savings account which earns 3.2% interest, compounded annually. How much will she have in the account after 12 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Answer:80
Step-by-step explanation:
Answer:6421
Step-by-step explanation:
P=4400
r=3.2%
n=1
t=12
f=4400 * (1+3.2/100/1)^12
find the absolute valve of 1 1/2 - 2/31
Answer: To find the absolute value of the expression 1 1/2 - 2/31, we first need to convert the mixed number 1 1/2 into an improper fraction.
1 1/2 can be written as (2 * 1 + 1) / 2, which is equal to 3/2.
Now we can subtract 2/31 from 3/2:
3/2 - 2/31 = (3 * 31 - 2 * 2) / (2 * 31) = (93 - 4) / 62 = 89/62.
The absolute value of a fraction is the positive value without considering its sign. So, the absolute value of 89/62 is 89/62.
Therefore, the absolute value of 1 1/2 - 2/31 is 89/62.
Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
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In the 2006 World cup, circles of cloth were used to cover the centre circle at the start of each match . The radius of a centre circle is 9.15m and 12 football pitches were used . Estimate the total area of cloth used .
Please answer with clear explaination.
The total area of clothes used is 12627m².
How to calculate the area?It is important to note that a football is in the shape of a sphere. Therefore, the area of a ball will be:
= 4πr²
In this case, the radius which is represented by r is given as 9.15m.
The area will be:
= 4πr²
= 4 × 3.142 × 9.15²
= 1052.22
Therefore, since there are 12 pitches, the area will be:
= 1052.22m² × 12
= 12627m²
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A moving walkway at the airport moves at a pace of 1.8 feet per second.
If you stand on the walkway as it moves, how long will it take to transport you 270 feet?
The time taken by the walkway to cover 270 feet is 150 seconds.
What is speed?The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other terms, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined.
Given the speed of the walkway = 1.8 feet per second
distance = 270 feet
speed is given by
speed = distance/time taken
time = distance/speed
substitute the values,
time taken = 270/1.8
time taken = 150 seconds
Hence it will take 150 seconds.
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she earned $480 in one week. If she worked 40 hours, how much did she earn per hour?
Answer:
12 dollars
Step-by-step explanation:
480 / 40 = 12
12 dollars