2. Determine all the perfect square whole
numbers and perfect cube whole numbers
between each pair of numbers:
a) 315 - 390
b) 650 - 750
c) 800 - 925
d) 1200 - 1350
Answer:
Step-by-step explanation:
a. 18² and 19² and 6³
b. 26² and 27² and 9³
c. 29² and 30²
d. 35² and 36² and 11³
John and Kamira are playing a game. John scores - 5 in the first round, while Kamira scores 7.
The score recorded at the end of the first round is 2. What could this score represent?
Group of answer choices
the sum of the absolute value of John's score and the absolute value of Kamira's score
the absolute value of the difference of John's score and Kamira's score
the sum of John's score and Kamira's score
the difference between John's score and Kamira's score
Answer:
the sum of John's score and Kamira's score
Step-by-step explanation:
-5 + 7 = 2
Please help I need the answers ASAP.
Answer:
Refer to the step-by-step
Step-by-step explanation:
∠1 and ∠2 lie in the alternate interior of the parallel lines and are on opposite sides of the transversal. So, ∠1 and ∠2 are equal angles.
I get an automatic 100 just for completing the assignment and I’m failing right now and really stressed. Should I just guess and receive all hundreds or actually work it out, it’s due at 12 and I have four more assignments.
Answer:
Just try your best for all of it, but make sure for each question, you at least have an answer, so the assignmet would count as complete.
Step-by-step explanation:
Answer:
submit whatever you have, guess all of it to get it all done. if you have time you can go back and check
Step-by-step explanation:
Someone explain please
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
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Have a GREAT day!!!
Pls help i will mark brainliest
Answer: DE = 17
Step-by-step explanation:
You can solve by similar triangle ratios or by pythagorean theorem:
AB/CD = CD/x
54/76.5 = 12/x
Solve for x: 54x = 12(76.5) = 918
x = 918/54 = 17
Or, because CDE is a right triangle:
\(12^{2} + 12^{2} = x^{2}\)
\(x^{2} = 288\\\)
x = \(\sqrt{288} = 17\)
2x + 4y = 8
X+ 2y = 4
Which of the following statements about the ordered pair (-2, 3) is TRUE?
A. It is a solution to the first equation but not the second equation.
B. It is the only solution to the system of equations.
C. It is one of many solutions to the system.
D. It is not a solution to either equation.
Answer:
C
Step-by-step explanation:
First we distribute (-2,3) into the equations so 2x+4y becomes 2(-2)+4(3) so that's -4+12 which is 8 making equation 1 correct.
Then x+2y becomes (-2)+2(3) which is 4 so the second equation is correct as well therefore the answer has to be C because of process of elimination
Holly Krech is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payout of $1,800 per month for twenty years. She must deposit $218,437.048 and the total amount that Holly will receive from her payout annuity will be $432,000.
A. How large a monthly payment must Holly Krech make if she saves for her payout annuity with an ordinary annuity, which she sets up thirty years before her retirement?
B. how large a monthly payment must she make if she sets the ordinary annuity up twenty years before her retirement?
A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.
B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.
What is the monthly payment required for an ordinary annuity set up 30 years before retirement?To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.
How much must be paid monthly for an ordinary annuity set up 20 years before retirement?For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.
It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.
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Solve y-4 = 3x+5y for y
Answer:
y=3x+4/5
Step-by-step explanation:
y-4+4=3x+5y+4
y=3x+5y+4
5y/5=3x+4/5
y=3x+4 over 5
PLEASE HELP!! Solve for x. -6x + 14 < - 28 AND 3x +28 < 25
Answer:
x>-7/3, x<-1
Step-by-step explanation:
Hope this helped!!!
Answered by NONE other than the #QUEEN herself!!
1/4x+2=2/3x+1/2 please help me
this is my answer, if you dont understand, dont be afraid to ask, hope this helps!
1+cot^2(alpha)=cosec^2(alpha)
Answer:
see explanation
Step-by-step explanation:
Using the Pythagorean identity
sin²α + cos²α = 1 ( divide each term by sin²α )
\(\frac{sin^2\alpha }{sin^2\alpha }\) + \(\frac{cos^2\alpha }{sin^2\alpha }\) = \(\frac{1}{sin^2\alpha }\) , that is
1 + cot²α = cosec²α ← as required
What is the range of this relation?
The points (-3, 0), (-2, 4), (0, -4) and (3, 2) are plotted.
f {y∣-4≤y≤4}
g {-4,0,2,4}
h {x∣-3≤x≤3}
j {-3,-2,0,3}
The range of this relation include the following: f. {y ∣ -4 ≤ y ≤ 4}.
What is a range?In Mathematics and Geometry, a range is the set of all real numbers that connects with the elements of a domain.
This ultimately implies that, a range simply refers to the set of all possible output numerical values (real numbers), which are shown on the y-coordinate (y-axis) of a graph.
Based on the information provided in this scenario, the domain and range of this relation in interval notation are as follows:
Domain = {-3, -2, 0, 3}
Range = {0, 4, -4, 2}.
Therefore, the range can be rewritten as {y ∣ -4 ≤ y ≤ 4}.
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students who score within 22 points of the number 78 will pass a particular test. write this statement using absolute value notation and use the variable x for the score.
The statement using absolute value notation will be x - 78 ≤ 22.
The student will pass the test which scores 22 points for the number 78
Absolute values are any digit's value without taking the sign into an account. Therefore, all negative numbers will be regarded as positive for absolute value. The absolute value of -5, for instance, will be 5, whereas that of -7, will be 7.
In essence, the absolute value calculates the distance from zero. Putting an absolute value on something does not imply that they are the same number but that they are the same distance from 0.
Le the score of student be = x
Forming the absolute value notation -
This can be expressed as,
x - 78 ≤ 22.
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If the diameter of a circle is 23 in., what is the radius?
Answer:
11.5
Step-by-step explanation:
the diameter is double the radius.
So to find the radius, divide the diameter by 2.
23/2= 11.5
please find what number x is
Step-by-step explanation:
Hey there!
Given;
The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.
Now, taking reference angle as angle 41°. We get;
Perpendicular= 26
Base = X
and Reference angle = 41°.
We know that the ratio of tan is p/b. So, let's use this ratio.
\( \tan(41°) = \frac{26}{x} \)
\(0.869 \times x = 26\)
\(x = \frac{26}{0.869} \)
Therefore, The value of x is 29.90.
Hope it helps...
Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
The German mark appreciated by 1.3% against the US dollar between 1970 and 1976.
This was due to strong economic growth in Germany and a decrease in inflation, which increased the purchasing power of the mark against the dollar. The appreciation of the mark against the dollar also helped to stimulate exports from Germany and reduce imports, creating a more balanced trade balance between the two countries.
The German mark appreciated by 1.3% against the US dollar due to strong economic growth and reduced inflation.
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At a real estate agency, an agent sold a house for $344,000. The commission rate is 4.5% for the real estate agency and the commission rate for the agent is 25% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
Commission - $15,480 | Money the agency made - $86,000
Step-by-step explanation:
4.5% of $344,000 is $15,480
25% of $344,000 is $86,000
x⁴+8x³+34x²+72x+81 factories it.
Answer:
The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.
if 2-5 = -4 then x =
please answer
Answer:
1
Step-by-step explanation:
2-5=x-4
subtract the common factors
-3 = x-4
add 4 to both sides so get x by itself
1 = x
Choose the best definition for the following term:
Period
A function which has a graph that repeats itself identically over and over as it is followed
from left to right.
The horizontal distance required for the graph of a periodic function to complete one
cycle
Horizontal shift for a periodic function.
the least value of a function
The best definition for the term "period" is:
The horizontal distance required for the graph of a periodic function to complete one cycle.
What is the best definition for the term "period?In the context of periodic functions, the period represents the length of the interval over which the function repeats itself identically. It is the horizontal distance from any point on the graph to the corresponding point on the next complete cycle of the function.
The concept of a period is used to describe functions that exhibit regular and repetitive patterns.
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Find the perimeter. Help please !
Answer:
2t + 15
Step-by-step explanation:
you add the expressions
\(perimeter=(t+5)+(t)+(10)=2t+15\)
I hope this help you
Frank ordered some books online for $5 each. he paid a total of $4 for shipping. the total cost of the purchase was $89. how many books did he buy? (please answer both A and B)
To find A.), we must create a linear equation. Let b be the number of books Sam ordered. We write 5b because each book is 5 dollars. Then we add 4 dollars to the equation to represent the shipping fee. Then we write "equals to 89", because it says that is the total cost. So we get the equation \(5b+\$4=\bold{\$89}\)
To find B.), we must solve the equation. Isolate the variable, by subtracting 4 from both sides. We then get \(5b=\$85\). Now we divide by 5 to get only the variable and to get rid of the coefficient. We get \(b=17\). So Sam bought 17 books.
Represent each of the following sequences as functions. In each case, state a domain, codomain, and rule for determining the outputs of the function. Also, determine if any of the sequences are equal.
(a) 1,14,19,116,…
(b) 13,19,127,181,…
(c) 1,−1,1,−1,1,−1,…
(d)cos(0),cos(π),cos(2π),cos(3π),cos(4π),…
The sequence cos(0),cos(π),cos(2π),cos(3π),cos(4π),… can be represented as a function k: N -> R, where N is the set of natural numbers and R is the set of real numbers. The domain of the function is the set of natural numbers, and the codomain is the set of real numbers. The function l: N -> {-1,1}, where l(n) = (-1)^(n).
The sequence 1,14,19,116,… can be represented as a function f: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: f(1) = 1, f(2) = 14, f(3) = 19, f(4) = 116, and so on.
The sequence 13,19,127,181,… can be represented as a function g: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: g(1) = 13, g(2) = 19, g(3) = 127, g(4) = 181, and so on. The domain of the function is the set of natural numbers, and the codomain is also the set of natural numbers. We can see that this sequence is not equal to any of the other sequences given.
The sequence 1,−1,1,−1,1,−1,… can be represented as a function h: N -> {-1,1}, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: h(1) = 1, h(2) = -1, h(3) = 1, h(4) = -1, and so on. The domain of the function is the set of natural numbers, and the codomain is the set {-1,1}. We can see that this sequence is equal to the function f: N -> {-1,1}, where f(n) = (-1)^(n+1).
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Find the diameter of each circle.
Answer:
Diameter Length: ( About ) 5.4 km; Option B
Step-by-step explanation:
~ Let us apply the Area of the Circle formula πr^2, where r ⇒ radius of the circle ~
1. We are given that the area of the circle is 22.9 km^2, so let us substitute that value into the area of the circle formula, solving for r ( radius ) ⇒ 22.9 = π * r^2 ⇒ r^2 = 22.9/π ⇒ r^2 = 7.28929639361.... ⇒
radius = ( About ) 2.7
2. The diameter would thus be 2 times that of the radius by definition, and thus is: 2.7 * 2 ⇒ ( About ) 5.4 km
Diameter Length: ( About ) 5.4 km
A jetiner can fy 7.3 hoyrs on a full load of fuel. Without any wind it fies at a speed of 3.38×10
2
m/s. The plane is to make a round-trip by heading due west for a certain distance, turning around, and then heading due east for the return trip. Durine the entire flight. however, the plane encounters a 67.3 m/s wind from the jet stream, which blows from west to east. What is the maxinum distance lin kilometers) that the plane can travel due west and just be able to return home?
The maximum distance that the plane can travel due west and just be able to return home is approximately ______ kilometers. (The actual value will be calculated in the explanation.)
To determine the maximum distance the plane can travel due west and return home, we need to consider the effect of the wind on the plane's ground speed. The ground speed is the speed of the plane relative to the ground.
Let's first convert the given speed of the plane to kilometers per hour:
Speed of the plane = 3.38 × 10^2 m/s
Speed of the plane in km/h = (3.38 × 10^2 m/s) × (3600 s/1 h) × (1 km/1000 m) = 1.2168 × 10^3 km/h
Next, we'll calculate the effective ground speed of the plane by considering the wind:
Effective ground speed = Speed of the plane - Speed of the wind
Effective ground speed = 1.2168 × 10^3 km/h - 67.3 km/h = 1.1495 × 10^3 km/h
Now, let's determine the maximum flight time based on the given fuel capacity:
Flight time = 7.3 hours
Finally, we can calculate the maximum distance the plane can travel due west:
Maximum distance = Effective ground speed × Flight time
Maximum distance = (1.1495 × 10^3 km/h) × (7.3 hours) = 8.38335 × 10^3 km
Therefore, the maximum distance that the plane can travel due west and just be able to return home is approximately 8.383 × 10^3 kilometers. (rounded to three significant figures)
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what are the terms a0, a1, a2, and a3 of the sequence {an}, where an equals a) (−2)n? b) 3? c) 7 4n? d) 2n (−2)n?
The terms a0, a1, a2, and a3 for each sequence are as follows: a.) 1, -2, 4, -8 b.) 3, 3, 3, 3 c.) 7, 11, 15, 19 d.) 1, 0, 8, -2
a.) an = (-2)^n
To find the terms, simply substitute the values of n into the equation.
a0 = (-2)^0 = 1
a1 = (-2)^1 = -2
a2 = (-2)^2 = 4
a3 = (-2)^3 = -8
b.) an = 3
Since the sequence is constant, all terms will have the same value.
a0 = 3
a1 = 3
a2 = 3
a3 = 3
c.) an = 7 + 4n
To find the terms, substitute the values of n into the equation.
a0 = 7 + 4(0) = 7
a1 = 7 + 4(1) = 11
a2 = 7 + 4(2) = 15
a3 = 7 + 4(3) = 19
d.) an = 2n + (-2)^n
To find the terms, substitute the values of n into the equation.
a0 = 2(0) + (-2)^0 = 0 + 1 = 1
a1 = 2(1) + (-2)^1 = 2 - 2 = 0
a2 = 2(2) + (-2)^2 = 4 + 4 = 8
a3 = 2(3) + (-2)^3 = 6 - 8 = -2
So, the terms a0, a1, a2, and a3 for each sequence are as follows:
a.) 1, -2, 4, -8
b.) 3, 3, 3, 3
c.) 7, 11, 15, 19
d.) 1, 0, 8, -2
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Complete question:
Q: What are the terms a0 ,a1 , a2 , and a3 of the sequence[an] , where an equals
a.) (-2)n?
b.) 3?
c.) 7 + 4n
d.)2n + (-2)n ?
true or false? a proportion is a type of ratio in which the numerator is part of the denominator and can be expressed as a percentage.
True, a proportion is a type of ratio in which the numerator is part of the denominator and can be expressed as a percentage.
A proportion is a mathematical relationship between two numbers, showing that one number is a part of the other or that they share a certain ratio. It compares two ratios and checks if they are equal. For example, if we have two ratios 1:2 and 2:4, these ratios are in proportion because they have the same relationship (1 is half of 2, and 2 is half of 4).
To express a proportion as a percentage, follow these steps:
Convert the ratio to a fraction: In our example, the ratio 1:2 can be converted to the fraction 1/2.
Divide the numerator by the denominator: In this case, we will divide 1 by 2, which equals 0.5.
Multiply the result by 100: Finally, multiply 0.5 by 100 to get the percentage, which is 50%.
So, the statement is true that a proportion is a type of ratio in which the numerator is part of the denominator and can be expressed as a percentage. This concept is essential in various mathematical and real-life applications, such as calculating discounts, tax rates, and percentages of various quantities.
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What is the weight of a 24 square foot 2 inch thick aluminum plate with a unit weight of 15 lbs?
Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Given:
Weight of 1 square foot, 1 inch thick plate = 15 lbs.To find: weight of a 24 square foot, 2 inch thick aluminum plate
Finding:
By unitary method, we get:
Weight of 1 square foot aluminum plate = 15 lbs.
Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.
Again, by unitary method, we get:
Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.
Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.
Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.
Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.
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50 points im testing your knowledge :)
Answer:
28
After being wrong the questionnaire told me the ans.
Thank you
Step-by-step explanation:
Stay safe, stay healthy and blessed.
Have a great day !
Thank you
Answer: 1100
Step-by-step explanation:
Hope I'm correct!