The expression which is equivalent to -32^3/5 is -32768 / 125.
We are given that;
Expression=-32^3/5
Now,
To find an equivalent expression for -32^3/5 is to use the property of exponents that says \((a/b)^n = a^n / b^n.\) Applying this property, we get:
-32^3/5 = (-32)^3 / 5^3
Now we can simplify the numerator and denominator by cubing them:
-32^3/5 = -32768 / 125
This is an equivalent expression for -32^3/5. There may be other ways to find equivalent expressions, such as factoring or using common denominators.
Therefore, by the expression the answer will be -32768 / 125.
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difference between circle and ellipes
Answer:
This question i think google could help you if not more then brainy if u dont get a answer fast enough
Step-by-step explanation:
hope i helped u a little bit i know i didn't have a answer.
EXTRA 30 POINTS IF U GET THEM RIGHT!!!!!!!!!!!!!1
1. What is the surface area of a rectangular prism with dimensions 15.5 inches by 6 inches by 4 inches?
2. The list represents the ages of students in a gymnastics class.
10, 10, 11, 12, 12, 13, 13, 14, 14, 15
If another student of age 15 joins the class, how is the mean affected?
3.What is the distance from (−5, −19) to (−5, 32)?
4.What is the perimeter, in centimeters, of a rectangle with vertices located at (−20, 14), (4, 14), (−20, −5), and (4, −5)?
5.What is the area of a right triangle with a base of 7 feet and a height of 16 feet?
6.A swimming pool in the shape of a rectangular prism has dimensions of 17.5 feet by 13 feet by 6 feet. What is the maximum amount of water that the pool can hold?
Answer:
what is this i do not know sorry so no 30 points right
HELP PLZ. ANSWER WITH NO LINKS AND I WILL GIVE BRAINLIEST.
Answer:
y=-1/2x+1
Step-by-step explanation:
The line on the graph is showing the slope is decreasing by -1/2, in our equation, it's: -1/2x. (For every x, y decreases by 1/2)
The y-intercept is 1, this is where the line intersects the y-axis.
In correct format, the linear equation is: y=-1/2x+1
what is the measure of angle BCD?
Step-by-step explanation:
here is my step by step so first you look at the two inner angles which in this case are B and C then you multiply them together to get your angle D.
Answer:
A.) obtuse angle
B.) 180 degrees
C.) 95 degrees
Step-by-step explanation:
C.) 80 - 85 = 95
A line passes through the point (1,5) and has a slope of 7
Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.
The equation of a line in the point-slope form is given by the following equation:
y-y_1 = m(x-x_1)
where m is the slope of the line and (x1, y1) is any point on the line.
Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:
y-5 = 7(x-1)
Expanding the right-hand side of the equation gives:
y-5 = 7x-7
Adding 5 to both sides of the equation gives:
y = 7x-2
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if a plane leaves at 11:22 am and arrives at 3:13 pm how long is the plane ride?
To determine how long is the plane ride, we can rewrite the arrival time on 24-hours system:
\(3\colon13\text{ pm= 15:13 pm}\)Then, we subtract the departure time and the arrival time:
The plane ride is 3.51 hours long.
The measure of the vertex angle of an
isosceles triangle is 66°. What is the
measure of each of the base angles?
Answer:
Since an isosceles triangle has two congruent angles (the base angles), let x be the measure of each base angle. Then we know that the sum of the three angles in a triangle is 180 degrees, so:
vertex angle + base angle + base angle = 180
66 + x + x = 180
2x + 66 = 180
2x = 114
x = 57
Therefore, each base angle measures 57 degrees.
Ethan decides to type up some documents while waiting the meeting to start.He can type 2 pages every 1/8 hour.If the meeting started 3/4 hour later than the scheduled time,how many pages can he type before the meeting starts?
Answer: 4 pages
Step-by-step explanation:
To solve this problem, we need to use the formula:
Rate = Output/Time
Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.
Rate = 2 pages/(1/8 hour) = 16 pages/hour
Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.
Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages
Therefore, Ethan can type 4 pages before the meeting starts.
Answer: 4 pages
A 12 inch line segment is divided into two parts. Which of the following lengths result in a ratio closest to the golden ratio, 1+√5/2 ?
Answer:
2:4
Step-by-step explanation:
I remember doing this is my class
Please help I have been stuck on this for hours
Answer:
I have attached a screenshot below with the answers written down!
Step-by-step explanation:
\(5*3=15\)
\(15*3=45\)
Next
\(20*\frac{1}{2}=10\)
\(10*\frac{1}{2}=5\)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helps!
Have a great day!
:)
Question 14 (essay worth 12 points)
(writing two step equations HC)
Given the equation 6x + 18 = 72:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Part C: Explain what the value of the variable represents. (2 points)
A. Ram spent $18 on six pens and six books. The grand total is $72.
B. The cost of each pen is $9.
C. The variable is called x.
What is an equation?
A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).
Here, we have
Given: the equation 6x + 18 = 72:
A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.
B. The following equation will be used to demonstrate this:
6x + 18 = 72
Compile similar terms.
6x = 72 - 18
6x = 54
On dividing,
x = 54 / 6.
x = $9
Hence, each pen will set you back $9.
C. The variable's value is x = 9.
Hence, the pen's price is 9.
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What the meaning of "a sequence of length n"?
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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For an investment of 26,245, a quarterly statement reports that the account is 26,292. The statement reports that for the same quarter, the rate of return of the investment was - 0.02%. Given the information regarding the investment quarterly activity, does the reported rate of return seem reasonable?
No. The reported return rate appears lower than expected.
Rate of returnsTo determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.
First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.
Then, we can use the following formula to calculate the expected rate of return:
Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1
Plugging in the given values, we get:
n = 1 (since we are only given information for a single quarter)
Initial investment = 26,245
Ending value = 26,292
Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%
Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.
Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.
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(sinx) / (1-cosx) =cscx+cotx
Prove the identity.
Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to the right of the Rule.
\(~~\text{L.H.S}\\\\=\dfrac{\sin x}{1-\cos x}\\\\\\=\dfrac{\sin x(1+ \cos x)}{(1 -\cos x)(1+ \cos x)}\\\\\\=\dfrac{\sin x + \sin x \cos x}{1- \cos^2 x}\\\\\\=\dfrac{\sin x+ \sin x \cos x}{\sin^2 x}\\\\\\=\dfrac{\sin x}{ \sin^2 x}+ \dfrac{\sin x \cos x}{ \sin^2 x}\\\\\\=\dfrac{1}{ \sin x} + \dfrac{\cos x}{ \sin x}\\\\\\=\csc x + \cot x\\\\\\=\text{R.H.S}\\\\\text{Proved.}\)
Find the volume of the cylinder shown. Use 3.14 for pi. Round your answer to the nearest tenth. A cylinder with radius 5 yards and height 13 yards.
The volume of the cylinder is 1020.5 cu.yards .
What is a Cylinder ?A cylinder is a three dimensional figure , wit no vertices and edges , it as two similar circular bases and a curved surface.
It is given that :
Radius of the cylinder is 5 yards
Height = 13 yards
The volume of the cylinder is given by
V = π R²h
V = 3.14 *(5 *5) * 13
V = 1020.5 cu.yards
The volume of the cylinder is 1020.5 cu.yards .
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Solve for x. 5(x − 3) − 6(x − 2) > 8x + 2 A) x > 5 9 B) x < 5 9 C) x > − 5 9 D) x < − 5 9
Step-by-step explanation:
5(x-3) - 6(x-2) > 8x + 2
5x - 15 - 6x + 12 > 8x + 2
-x - 3 > 8x + 2
-5 > 9x
-5/9 > x or x < -5/9
I am not sure, since you are missing some symbols in the given answer options, but that should be answer D
Will mark brainliest.
The solution is, the value of the variables are x = 40 and, y = 160.
Notice that "x" and "3x+20" are supplementary angles so their sum is 180°
(x) + (3x + 20) = 180
4x + 20 = 180
4x = 160
x = 40
To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.
(x) + (y - 20) = 180°
40 + y - 20 = 180
y + 20 = 180
y = 160
Answer: x=40, y=160
The solution is, the value of the variables are x = 40 and, y = 160.
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complete question:
Find the value of each variable
PLEASE HELP ME I DON’T GET IT & IT DUE SOON !!!!!
Answer:
Step-by-step explanation:
cows chickens legs animals
1 11 26 (1×4+11×2=4+22=26) 1+11=12
2 9 26 (2×4+9×2=8+18=26) 2+9=11
3 7 26 (3×4+7×2=12+14=26) 3+7=10
4 5 26 (4×4+5×2=16+10=26) 4+5=9
5 3 26 (5×4+3×2=20+6=26) 5+3=8
6 1 26 (6×4+1×2=24+2=26) 6+1=7
1. minimum number of animals=7
2. chickens=3
3. cows=4
chickens=5
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
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The ratio of red jellybeans to purple jellybeans is 9:5. What fraction of the jellybeans are red?
Please the first person who does it gets brainliest!
the answer is 4/5 i don't know
Julio is playing a trivia game. On his first tum, he lost 120 points. On his second tum, he lost 75 points. On
his third tum, he lost 60 points. Enter a sum of three negative integers that models the change to Julio's
score after his first three turns. Enter the sum in the order of his turns.
Answer:
-120,-75,-60
(t)-120-75-60
Answer:
negative 255
Step-by-step explanation:
0-120=-120
-120-75=-195
-195-60=-255
FH is the altitude to the hypotenuse EG. what is the length of FH. Really need some help with this!
Answer:
Option A is correct
Step-by-step explanation:
Given: FH is the altitude to the hypotenuse EG
To find: length of FH
Solution:
According to Pythagoras theorem, square of hypotenuse is equal to sum of squares of other two sides.
In \(\Delta EHF\),
\(\angle EHF=90^{\circ}\)
So,
\(EF^2=EH^2+FH^2\)
Put EH = 6 units and EF = 7 units
\(7^2=6^2+FH^2\\49=36+FH^2\\49-36=FH^2\\13=FH^2\)
Option A is correct
Take square root on both sides
\(FH=\sqrt{13}=3.606\,\,units\)
Find the value of n for which the division of x^2n-1 by x+3 leave remainder of -80.
The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:
Write the dividend and divisor in polynomial long division format:
_________________________
x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...
Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).
Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).
Subtract the result obtained in step 3 from the original dividend:
x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...
Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.
Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.
-3x^(2n-2) + 0x^(2n-3) + ... = -80
Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.
This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:
2n-2 = 0
2n = 2
n = 1
Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
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Ver en español
Pam, the CEO of Zettabyte Tek, set up a $750,000 education fund. She wants to give each employee who takes a computer security class a $350 reimbursement toward the cost of the class. You can use a function to describe the amount of money left in the fund after x employees receive the reimbursement.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.
The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).
What does a simple equation represent?An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.
Workers who complete the computer security course will each receive a reimbursement of $350.
We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.
Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.
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A number is multiplied by 8, and that product is added to 4. The sum is equal to the product of 4 and 7. Find the number.
Answer:
Step-by-step explanation:
y×8=8y
8y+4=4×7
8y+4=28
8y=24
y=
Answer:
The number is:
3
Step-by-step explanation:
8a + 4 = 4*7
8a + 4 = 28
8a = 28 - 4
8a = 24
a = 24/8
a = 3
Check:
8*3 + 4 = 4*7
24 + 4 = 28
A study was done to compare the effectiveness of distance learning with traditional classroom instruction. Fourteen students took a business administration course online, while 17 students took it in a classroom. The final exam scores were as follows. It is reasonable to assume that the samples come from populations that are approximately normal.
Online
65 74 84 63 87 76 73
90 71 68 76 82 61 69
Classroom
70 79 55 74 82 70 80 73 77
54 82 80 81 68 58 69 92
Required:
a. Construct a 95% confidence interval for the difference between the mean scores for the two types of instruction.
b. An educator claims that both methods of instruction are equally effective. Does the confidence interval contradict this claim?
Answer:
See below for answers and explanations
Step-by-step explanation:
Part A:
Check conditions for a 2-sample t-interval:
Random sample? √
Is the sample size no more than 10% of the population? √
Are both samples approximately normal? √
Construct the 95% confidence interval:
On a TI-84, click on "Stat", scroll to "Tests", and select "2-SampTInt". Put your data into 2 lists and set C-Level to be 0.95 to represent a 95% confidence level. Make sure the data isn't pooled, and press "Calculate" to obtain your results. You will see that the 95% confidence interval for the difference between the mean scores for the two types of instruction is {-6.042,8.1175}
Part B:
The confidence interval does not contradict the claim because 0 is contained within the 95% confidence interval, so it is quite possible that there is no difference between the mean scores for the two types of instruction.
Which expression is equivalent to the expression –6.4 – 12 + 4.6?
The answer is -13.8.
Hope this helps!
can someone help me
Answer:
Step-by-step explanation:
The base is 4 and the length is 8 b x l 8×4 =32
Someone please help me! Ill give the brainlest if its correct! A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 50 gallons of a mixture that contains 80% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Answer:
therefore x equals 3
Step-by-step explanation:
g(1) = 1² + 1 = 2