(25 POINTS IF YOU GET THIS RIGHT AND BRAINLIST.) Answer the following questions using 4 complete sentences. Find the area of the figure below. How did you find the area? Explain your steps using complete sentences.
Answer: 22 units²
Step-by-step explanation:
Just count the squares, its faster than breaking this into individual quadrilaterals.
22 squares, so the Area is 22 units²
Which shows the following expression after the negative exponents have been eliminated?
ab
a 0,b=0
ab-2
a³b
ab²
a³b²
ab²
i
The expression after eliminating the negative exponents is a² b²
Given,
The expression ; (a³ b⁻²) / ab⁻⁴
We have to find the expression after eliminating the negative exponents;
Expressions;
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Here,
Evaluate;
(a³ b⁻²) / ab⁻⁴
We can use laws of indices;
xᵃ / xᵇ = xᵃ⁻ᵇ
Now,
The expression;
(a³ b⁻²) / ab⁻⁴
= a ³⁻¹ b ⁻²⁻⁽⁻⁴⁾
= a ³⁻¹ b ⁻²⁺⁴
= a² b²
That is,
The expression after eliminating the negative exponents is a² b²
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Calculate the (modeled) probability P(E) using the given information, assuming that all outcomes are equally likely.
S = {1, 3, 5, 7, 9}, E = {1, 5, 7}
The probability P(E) is 13/15.
According to the statement
we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}
And we have to find the probability P(E).
So, For this purpose
Recall the formula for the probability of an event E in case when all outcomes are equally likely:
P(E)= n(E) /n(S)
in which S is the sample space.
But we have the S = {1, 3, 5, 7, 9},
so, n(S) = Sum of all outcomes / number of outcomes
n(S) = 1+3+5+7+9 /5
n(S) = 25 /5
n(S) = 5 and
For n(E) = Sum of all outcomes / number of outcomes
n(E) = 1+5+7 /3
n(E) = 13 /3
n(E) = 13 /3
Substitute these values in the above written formula then
P(E)= n(E) /n(S)
P(E)= (13/3)/ 5
P(E)= 13 /15
So, The probability P(E) is 13/15.
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PLEASE OPEN FILE (vertical (90) and supplementary angle(180)
Solve for D
value of e
value f
value of g
The values of the angles of d° is 120°, e° is 72°, f° is 20° and g° is 101° all can be determine by using Supplementary angles.
Define the vertical and supplementary angle?Vertical points are sets of non-adjoining points shaped by two meeting lines. Pairs of angles that add up to 180 degrees are called supplementary angles.
From the given figure,
for angle d; (the Supplementary angles)
d° + 15° + 45° = 180°
d° = 180° - 60°
d° = 120°
for angle e; (the Supplementary angles)
(e - 27°) + d° + 15° = 180° (put value of d)
e - 27° + 120° + 15° = 180°
e° = 72°
for angle f; (the Supplementary angles)
(6f)° + 45° + 15° = 180°
(6f)° = 120°
f° = 20°
for angle g; (the Supplementary angles)
(g-86)° + (6f)° + 45° = 180° (put value of f)
(g-86)° + (6×20)° + 45° = 180°
(g-86)° + 120° + 45° = 180°
g° = 101°
Therefore, the angles of d° is 120°, e° is 72°, f° is 20° and g° is 101°
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Find the distance between the pair of points.
E(-6, 4) and F(5, 4)
The distance between the pair of points is _____ units?
Answer:
11 units
Step-by-step explanation:
Just trust me!
Your friends swimming pool is in the shape of a rectangular prism, with a length of 25 feet a width of 8 feet and height of 5 feet. What is the volume of your friends swimming pool?
Answer:
1000 cubic feet or 1000 ft³
Step-by-step explanation:
Your friends swimming pool is in the shape of a rectangular prism, with a length of 25 feet a width of 8 feet and height of 5 feet. What is the volume of your friends swimming pool?
The volume of a rectangular prism is given as:
Width × Length × Height
Length = 25 feet
Width = 8 feet
Height = 5 feet.
Volume of the rectangular prism(Swimming pool) = 25 feet × 8 feet × 5 feet
= 1000 cubic feet or 1000 ft³
What is the answer please
Answer:
Your answer is
D
Mark my answer as brainlist . I need that urgently . Folow me for more answer.
Step-by-step explanation:
help help help help guys show your solution and answer the question
Answer:
1) I just simply added the numerators because the denominators of both fractions are equal. As the denominators are same , I simply wrote 6 by taking the L.C.M of both denominators.
4)
\( \frac{5x - 3}{6} + \frac{x - 9}{6} \)
\( = > \frac{5x - 3 + x - 9}{6} \)
\( = > \frac{6x - 12}{6} \)
Taking 6 common from numerator,
\( = > \frac{6(x - 2)}{6} \)
Cancelling 6 from both numerator & denominator,
\( = > x - 2\)
what is the length of the midsegment of this trapezoid? enter your answer in the box.
The length of the midsegment of the trapezoid is 8 units
Trapezoid
A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs.
The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides of the trapezoid and is parallel to the pair of parallel sides.
In this problem
The two non-parallel sides of the trapezoid are AD and BC
Step 1
Find the midpoint side of AD
Let
E the midpoint AD
A ( 2,4 ) D (-2,-1)
Find the x-coordinate of the midpoint AD
\(x = \frac{2-2}{2} = 0\)
Find the y-coordinate of the midpoint AD
\(y = \frac{4 - 1}{2} = 1.5\)
the point E is equal to (0, 1.5 )
Step 2
Find the midpoint side of BC
Let
F the midpoint BC
\(B ( 7,4) C ( 9, -1)\)
Find the x-coordinate of the midpoint BC
\(x = \frac{9+2}{7} = 8\)
Find the y-coordinate of the midpoint BC
\(y = \frac{4 - 1}{2} = 1.5\)
The point F is equal to ( 8 , 1.5 )
Step 3
Find the distance EF
Know that
The formula to calculate the distance between two points is equal to
\(d = \sqrt{(y2 - y1)^{2}+ (x2 -x1)^{2} }\)
we have
E ( 0 ,1.5) F ( 8, 1.5)
substitute the values
\(d = \sqrt{(1.5 - 1.5)^{2} + (8-0 )^{2} }\)
d = 8 units
Therefore
The length of the midsegment of the trapezoid is 8 units
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1. Find the values of the
angles x, y and z.
40°
25°
z
у
Answer:
z = 40° (V. O. A)
Now find x
40 + 25 + x = 180(A. S. P)
65 + x = 180
x = 180 - 65
x = 115°
Now find y
x = y (V. O. A)
Y = 115°
So angles are
X = 115°
Y = 115°
Z = 40°
Hope this helps, have a great day, have a wonderful weekend and stay safe!
Also Happy Halloween! :) :D :3
Johnny's rare book collection contains 40 books he donates 15% of his books to the National Library sells 1/4 of his books to a rare dealer and sell for books on Amazon how many books were made in Johnny's book collection
Answer:
20 books
Step-by-step explanation:
Fractions and all that.
Anupa's favorite fraction is equal to $\frac{5}{3}$. The sum of the numerator and denominator of Anupa's favorite fraction is $160$. What is the difference between the numerator and denominator of Anupa's favorite fraction?
The difference between the numerator and denominator of the fraction parameters is 40
How to determine the difference between the fraction parameters?From the question, the fraction is given as
5/3
The above fraction can be represented as
5x/3x
This is so because of the following equation
5x/3x = 5/3
The above is calculated by dividing the numerator and the denominator by the common factor x
Solving further, we have
Sum of the numerator and denominator = 160
This means that
5x + 3x = 160
Evaluate the sum in the above equation
So, we have
8x = 160
Divide both sides of the fraction by 8
So, we have
x = 20
The required difference is represented as
Difference = 5x - 3x
Evaluate
Difference = 2x
Substitute x = 20 in Difference = 2x
So, we have
Difference = 2 x 20
Evaluate
Difference = 40
Hence, the difference between the fraction parameters is 40
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TRUE / FALSE. when the block is in equilibrium, each spring is stretched an additional ∆x. then the block is set into oscillation with amplitude a; when it passes through its equilibrium point it has a speed v.
The statement is true.
When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.
When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.
The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.
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Determine the slope and the y-intercept of the linear function given in the table:
X
1
3
6
y
12.5 17.5 25
slope =
y-intercept =
8.
30
11
37.5
Answer:
y=2.5x+10
Step-by-step explanation:
I guessed so I hope it's right!
Answer:
Step-by-step explanation:
Which statement describes the sequence defined by a Subscript n Baseline = StartFraction n squared minus 16 Over n cubed + 4 EndFraction?
Answer: Converges to 0
Step-by-step explanation:
took test
Answer:
its not b
Step-by-step explanation:
please help!! ill give brainliest + points!!
Answer:
A
Step-by-step explanation:
Find the sum of the series.
[infinity] (−1)nπ2n
n=0
62n(2n)!
As per the Maclaurin series, the value of the function is written as 2.8521
The term Maclaurin series is defined as a function that has expansion series that gives the sum of derivatives of that function.
Here we have given that the function is \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)
And we need to find the sum of series by using the Maclaurin series as
Now, the sum of series is calculated as,
=>f(n) = \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)
When we put the value on n = 0, then we get,
=> f(0) = [1 x 3.14]/1] = 3.14
Now, we have to put the value of the function, the value of x as 1,
Then we get,
=> f(1) = [-1 x 9.8596] / [16 x 2]
=> f(1) = -0.308
And then we have to put the value of function for the value of x as 2,
Then we get,
=> f(2) = [1 x 30.959] / [64 x 24]
=> f(2) = 0.0201
Then the sum of the series is
=> 3.14 - 0.308 + 0.0201
=> 2.8521
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PLSSSSS HELP I BEG YOU I WILL GIVE BRAINLIEST WHOEVER ANSWERS FIRAT AND CORRECT.!!!
Answer:
WHASTW THE QUESTION?
Step-by-step explanation:
Answer:
um ok first you spell that wrong and put firat
Step-by-step explanation:
-7x³ (5x + 7y) you have to find the product
\(~~-7x^3(5x+7y)\\\\=(-7x^3)(5x) +(-7x^3)(7y)\\\\=-35x^4 -49x^3y\)
assume that the test scores of a college entrance exam fits a normal distribution. the mean test score is 72, and the standard deviation is 5. what is the percentage of students scoring 84 or more in the exam?
The percentage of students scoring 84 or more in the exam is 99.18%.
Given, Mean test score = 72,
Standard deviation = 5.
We are supposed to find the percentage of students scoring 84 or more in the exam.
To find the percentage of students scoring 84 or more in the exam, we will use the following steps:
First, we need to find the z-score associated with 84.
Let us assume that z is the z-score corresponding to the value 84, then;
z = (84 - 72) / 5 = 2.4
Now, we have the value of z, we can find the percentage of students scoring 84 or more in the exam using the normal distribution table.
The percentage is the area under the normal distribution curve to the right of the z-score.
To find the area using the normal distribution table, we need to look for the value 2.4 in the z-table. Since 2.4 is not exactly listed in the z-table, we will use the value for 2.4 closest to it.
Using the z-table, the value closest to 2.4 is 0.9918.
Therefore, the percentage of students scoring 84 or more in the exam is;
P(Z > 2.4) = 0.9918 × 100 = 99.18%.
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PLEASE HELP, NEED IT BY TODAY
Write three equations. Each equation must include the numbers 3 and 30.3 and must be easy to solve by inspection. Solve your equations.
The three equations are:
3x = 30.3
30.3 - x = 27.3
3x + 30.3 = 63.6
We have,
Equation 1:
3x = 30.3
Solving for x, we can divide both sides by 3:
x = 10.1
Equation 2:
30.3 - x = 27.3
Solving for x, we can subtract 27.3 from both sides:
x = 3
Equation 3:
3x + 30.3 = 63.6
Solving for x, we can first subtract 30.3 from both sides:
3x = 33.3
Then, we can divide both sides by 3:
x = 11.1
Thus,
The three equations are:
3x = 30.3
30.3 - x = 27.3
3x + 30.3 = 63.6
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Which expression simplifies to 2/15 ??
A /17
B /19
C /30
D /60
The expression that simplifies to 2/15 is 4/30.
Option C is the correct answer.
We have,
To find the expression that simplifies to 2/15, we need to simplify each option and see which one equals 2/15.
Let's simplify each option:
A) 4/17: This expression cannot be simplified further. It does not equal 2/15.
B) 6/19: This expression cannot be simplified further. It does not equal 2/15.
C) 4/30: We can simplify this expression by dividing both the numerator and denominator by their greatest common divisor, which is 2. Simplifying gives us 2/15, so option C equals 2/15.
D) 12/60: We can also simplify this expression by dividing both the numerator and denominator by their greatest common divisor, which is 12. Simplifying gives us 1/5, not 2/15.
Therefore,
The expression that simplifies to 2/15 is 4/30.
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The complete question:
Which expression simplifies to 2/15 ??
A 4/17
B 6/19
C 4/30
D 12/60
i don't understand this. 20pts
Answer:
I THINK it's point T I hope this helps
Answer:
Step-by-step explanation:
A ray has no endpoint.
In the figure the starting point for the 3 rays is S.
Estimate the bandwidth of P(s)= 10000 /( s ^ 3 + 1000s ^ 2
Hint: bandwidth of a system is approximated by a frequency where the magnitude |P(jw)|=12c) (15 pts) Estimate the bandwidth of P(s)=
(s
3
+1000s
2
)
10000
Hint: bandwidth of a system is approximated by a frequency where the magnitude ∣P(jω)∣=1
The frequency ω where |P(jω)| equals 1. Therefore, we set 1 = 10000 / √(-ω⁶ - 1000000ω⁴)
To estimate the bandwidth of the system with the transfer function P(s) = 10000 / (s³ + 1000s²), we need to find the frequency where the magnitude |P(jω)| equals 1.
Let's substitute s = jω into the transfer function:
P(jω) = 10000 / (jω³ + 1000jω²)
Now, let's find the magnitude of P(jω):
|P(jω)| = |10000 / (jω³ + 1000jω²)|
To simplify the magnitude, we can take the absolute value of the numerator and denominator separately:
|P(jω)| = |10000| / |jω³ + 1000jω²|
= 10000 / |jω³ + 1000jω²|
The magnitude of a complex number involves finding the square root of the sum of the squares of its real and imaginary parts. Therefore, we can rewrite the magnitude as follows:
|P(jω)| = 10000 / √((jω³)² + (1000jω²)²)
= 10000 / √(-ω⁶ - 1000000ω⁴)
To estimate the bandwidth, we need to find the frequency ω where |P(jω)| equals 1. Therefore, we set:
1 = 10000 / √(-ω⁶ - 1000000ω⁴)
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hurry i need help with this i don’t know what to write
The triangle congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.
What is the AAS Congruence TheoremThe AAS (Angle-Angle-Side) Congruence Theorem states that if two triangles have two corresponding angles and a corresponding side that are congruent, then the triangles are congruent.
By observation, the angle L corresponds to the angle Y, and the angle M corresponds to the angle Z, Also the side KM corresponds to the side XM.
In conclusion, the congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.
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Q3. A student plans a method to prepare pure crystals of copper sulfate.
The student's method is
1. Add one spatula of calcium carbonate to dilute hydrochloric acid in a beaker.
2. When the fizzing stops, heat the solution with a bunsen burner until all the liquid is gone.
The method contains several errors and does not produce copper sulfate crystals.
5
Explain the improvements the student should make to the method so that pure crystals of
copper sulfate are produced. (6) * S
Answer:
1) The student didn't add copper sulfate but instead he added calcium carbonate.
2) The heated solution should be left to get bigger crystals and should not be instantly allowed to evaporate.
3) He should use copper carbonate not calcium carbonate.
4) Sulfuric acid was added instead of hydrochloric acid.
5) Add solid excessively so that all of the acid is retained.
6) Filter the solution to remove unreacted solid.
7) Heat gently, so the crystals will start to appear.
The reactants in this reaction ought to have been copper carbonate and sulfuric acid.
The student is trying to carry out a reaction that would produce copper sulfate using two starting materials. The process is also expected to involve the evolution if a gas. However the process failed to produce the desired product. The following adjustments should be made to the process;
The student should use copper carbonate instead of calcium carbonate The student should use sulfuric acid instead of hydrochloric acid.If these two adjustments are made, the equation of the reaction occurs as follows; CuCO3(s) + H2SO(aq) → CuSO4(aq) + CO2(g) + H2O(l).
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Tickets to the movies cost $24 for 1 adult. The price of 1 child was 2/3 of that price. How much did a family with 2 adults and 2 children have to pay?
A share of Southside stock sold for $47.57. The annual dividend is $2.04. Three years later the stock has increased 18.65% in value, and the dividend has increased 5.34%.
The price of a share of Southside stock has increased to $56.51, and the annual dividend has increased to $2.15. These calculations reflect the growth rates of the stock value and the dividend over given time period.
It's important to note that these values are approximations rounded to the nearest cent.
After three years, the price of a share of Southside stock has increased by 18.65% from its initial value of $47.57. To calculate the new price, we can multiply the initial price by (1 + 18.65%) or 1.1865. Thus, the new stock price is approximately $56.51.
Similarly, the annual dividend of the stock has increased by 5.34% from its initial value of $2.04. To find the new dividend, we can multiply the initial dividend by (1 + 5.34%) or 1.0534. The new dividend amounts to approximately $2.15.These calculations reflect the growth rates of the stock value and the dividend over the given time period. It's important to note that these values are approximations rounded to the nearest cent.
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Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expected value of the number of points for one roll? Negative two-thirds Negative one-sixth one-sixth Two-thirds.
We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"
For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have two events:
x₁ = she gets 9 points.x₂ = she loses 2 points.Let's find the probabilities of each one of these.
She gets 9 points if the sum of the two dice is equal to 8 or 12.
Each dice has 6 outcomes.
Then a combination of two dice has a total of 6*6 = 36 outcomes.
The outcomes that add to 8 or 12 are:
dice 1 dice 2 sum
2 6 8
3 5 8
4 4 8
5 6 8
6 2 8
6 6 12
So 6 out of the 36 outcomes, then the probability of this event is:
p₁ = 6/36 = 1/6
And the other event is for all the other outcomes, so the probability is just:
p₂ = 5/6
Then the expected value is:
EV = (+ 9 points)*(1/6) + (-2 points)*(5/6) = -1/6 points.
So the correct option is negative one-sixth.
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Answer:
-1/6
Step-by-step explanation:
work out 1 over 8 of 760
Answer:
The answer is 95
Step-by-step explanation:
1 over 8 of 760
(1/8) × 760
760/8 = 95
Thus, The answer is 95
-TheUnknownScientist 72