Solve the equation V^3=36
Answer:
V= \(\sqrt[3]{36}\)
Alternative Form
V≈3.301927
Evaluate
V
3
=36
Take the 3-th root on both sides of the equation
3
V
3
=
3
36
hope this helps now
Answer:
\(\mathrm{V=\sqrt[3]{36}}\)
Step-by-step explanation:
Determine if 36 is a cube root
(a-b)•(a^2+ab+b^2) =
a^3+a^2b+ab^2-ba^2-b^2a-b^3 =
a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =
a^3+0+0-b^3 =
a^3-b^3
→ Using this checker, we can see that 36 is not a cube root because it cannot be factored as the difference between two perfect cubes.
Solve
v^3 - 36 = 0
v^3 = 36
v = ∛36
Alonzo drove 380 miles using 14 gallons of gas. At this rate, how many gallons of gas would he need to drive 418 miles?
You have the following information:
- Alonzo drove 380 miles using 14 gallons of gas
In order to determine how many gallons of gas would Alonzo need to drive 418 miles, you consider that each 380 miles are equivalent to 14 gallons of gas.
Then, you can use the following rule of three:
380/14 = 418/x
where x is the unknown amount of gallons of gas Alonzo needs. The rate must be equal because Alonzo drives with constant speed.
Then, you solve the previous equation for x, just as follow:
380/14 = 418/x multiply both sides by x
(380/14)x = 418 multiply by 14 and divide between 380 both sides
x = 418(14/380) simplify
x = 15.4
Hence, Alonzo would need 15.4 gallons of gas to drive 418 miles
can someone please help mee ( will give brainliest 20 points!!!)
The piecewise function graphed below is given as follows:
\(f(x) = 3, -4 \leq x \leq -2\)\(f(x) = x + 2, -2 < x \leq 3\)\(f(x) = -1, 3 < x \leq 5\)What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
For x between -4 and -2, inclusive, the function is constant at 3, hence the definition is:
\(f(x) = 3, -4 \leq x \leq -2\)
For x greater than -2 until 3, the function is a line with slope 1 and y-intercept 2, hence the definiton is:
\(f(x) = x + 2, -2 < x \leq 3\)
For x greater than 3 until 5, the function is constant at -1, hence the definition is:
\(f(x) = -1, 3 < x \leq 5\)
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7 times 36 = 21 times ?
help needed asap :)
Answer:
7*36=21*x
252=21x
x=12
Hope it helps!
Answer:
12
Step-by-step explanation:
Let x be the unknown number.
Method 1
\(\implies \sf 7 \times 36 = 21 \times x\)
\(\implies \sf 252 = 21x\)
\(\implies \sf \dfrac{252}{21} = \dfrac{21x}{21}\)
\(\implies \sf 12=x\)
\(\implies \sf x=12\)
Method 2 (using mental arithmetic)
\(\implies \sf 7 \times 36 = 21 \times x\)
As 7 and 21 are both multiples of 7, divide both sides by 7:
\(\implies \sf 36=3x\)
Divide both sides by 3:
\(\implies \sf 12=x\)
\(\implies \sf x=12\)
439x39=
Please help
Because no one has done this one yet
Answer:
Answer= 17,121
Step-by-step explanation:
439
x39
3951
1317 then you add
Can somebody help me out my grade are bad
Answer:
Mixed Number: 7 And 1/10
Improper Fraction: 71/10
Please give me Brainliest if I'm right ! :)
Answer:
Mixed Number: 7 1/10
Improper Fraction: 71/10
Step-by-step explanation:
A Mixed Number is a Number with a fraction as part of it so 7 is a whole number, so this is the "number" part. .1 isnt a whole number, so you find out what the simplified form of .1 is, and you get 1/10. Put them together and you get 7 1/10. An improper fraction is where the number becomes only a fraction, no whole numbers allowed! you can find out 1 = 10/10 so this means 7 = 70/10. Add the .1 (1/10) to this and you get 71/10.
Help me with this!!!!
Answer:
QR=2x=16
Step-by-step explanation:
2x+8= 3x
8=3x-2x
8=x
QR=2x= 8*2=16
5. A fruit punch recipe that serves 20 people
calls for 32 fluid ounces of pineapple juice
and 48 fluid ounces of orange juice.
Monique only has 20 fluid ounces of
pineapple juice. How much orange juice
does she need to maintain the ratio of
pineapple juice to orange juice?
Monique needs 30 fluid ounces of orange juice to keep the ratio same.
What is a ratio ?Ratio is the quantity of certain type of amount out of the total amount of all types is quantities.
According to the given question
The fruit punch is made up of 32 fluid ounces of pineapple juice and 48 fluid ounces of orange juice.
∴ The total Mixed juice is
(32 + 48) = 80 fluid ounces of mixed juice.
The ratio of pineapple juice juice to the orange juice is
32:48
= 2x:3x
Now Monique has 20 fluid ounces of pineapple juice
∴2x = 20
x = 10
So, to keep the ratio of pineapple juice to the orange juice same she needs 3x or 30 fluid ounces of orange juice.
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How do you find the asymptote?
To find the asymptotes of a graph, first determine the type of asymptote (horizontal, vertical, or slant) and identify the conditions that must be satisfied. Then, set the numerator or denominator equal to zero and solve for y or x, or divide the numerator by the denominator and find the equation of the line that the graph approaches as x approaches infinity.
To find the asymptotes of a graph, you can follow these steps:
Determine the type of asymptote: There are three types of asymptotes: horizontal, vertical, and slant.Identify the conditions for the asymptote: For a horizontal asymptote, the degree of the numerator must be less than the degree of the denominator. For a vertical asymptote, the denominator must be equal to zero. For a slant asymptote, the degree of the numerator must be one more than the degree of the denominator, and the leading coefficients of the numerator and denominator must not be equal.Solve for the asymptote: Once you have identified the type of asymptote and the conditions that must be satisfied, you can solve for the asymptote by setting the numerator or denominator equal to zero and solving for y or x, or by dividing the numerator by the denominator and finding the equation of the line that the graph approaches as x approaches infinity.Learn more about the asymptote at
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what will be the value of k so that the equation \(kx^{2} -4x+1\) has two equal roots (same roots)
The value of k that will make the quadratic equation kx² - 4x + 1 = 0 to have two equal roots is; k = 4
What are the roots of the Quadratic Equation?The general form of representing a quadratic equation is;
ax² + bx + c = 0
Now, we are given the quadratic equation which is;
kx² - 4x + 1 = 0
Now, for a quadratic equation to have 2 equal roots, it means that;
b² = 4ac
Thus, applying that to our given quadratic equation gives us;
(-4)² = 4(k * 1)
4k = 16
k = 4
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what would the slope of a line parrallel to 2x-y=-1 be?
Answer:
2
Step-by-step explanation:
2x - y = -1
-y = -2x - 1
y = 2x + 1
parallel line = same slope
Find the DISTANCE of line segment AB with point A
Answer:
34
Step-by-step explanation:
x-y
Explain how the sun sustains life on Earth. Write at least 2 complete sentences
Answer: The Sun helps sustain life by providing warmth to Earth so we are not an ice-cold planet. The Sun provides sunlight that helps plants to grow which humans and animals eat. (Third Optional sentence) The Sun also helps us by helping plants grow which provides oxygen for us.
Answer:
the sun sustains life on Earth by keeping us warm. the sun is basically a huge fireball positioned far enough away it keeps us warm but not too warm and keeps us from freezing to death.
Step-by-step explanation:
hope this helps :)
HELP I NEED HELP ASAP
2(3x + 1) - (x - 5) = 42
Answer:
6x+2-1x+5=42
Step-by-step explanation:
Answer:
6x+2-x-5=42
Step-by-step explanation:
let f and g have continuous first and second derivatives everywhere. if f(x) ≤ g(x) for all real x, which of the following must be true?
If f (x) < g(x) for all real 1; The expression that must be true is I f'(x)sg'(x) for all real x II. f'(x)≤g'(x) for all real x III. f(x)dx ≤ [8(x)dx is option D. I and II only
How did we determine which is true?I. f(x) and g(x) have continuous first and second derivatives everywhere, so by the mean value theorem, there exists a point c in the interval (a, b) such that f'(c) = (f(b) - f(a)) / (b - a) and g'(c) = (g(b) - g(a)) / (b - a). Since f(x) < g(x) for all x, we have f(b) - f(a) < g(b) - g(a), so f'(c) < g'(c), and thus, f'(x) < g'(x) for all x.
II. f(x) and g(x) have continuous first and second derivatives everywhere, so by the mean value theorem, there exists a point c in the interval (a, b) such that f''(c) = (f'(b) - f'(a)) / (b - a) and g''(c) = (g'(b) - g'(a)) / (b - a). Since f'(x) < g'(x) for all x, we have f'(b) - f'(a) < g'(b) - g'(a), so f''(c) < g''(c), and thus, f''(x) < g''(x) for all x.
III. This statement is not necessarily true. The definite integral of f(x)dx is equal to the area between the curve and the x-axis, and the definite integral of g(x)dx is equal to the area between the curve and the x-axis. The definite integral of a function does not depend on the value of the function at each point, but on the overall shape of the curve, so it is not guaranteed that f(x)dx ≤ g(x)dx just because f(x) < g(x) for all x.
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The complete question goes thus:
Let f and g have continuous first and second derivatives everywhere. If f (x) < g(x) for all real 1; which of the following must be true? I f'(x)sg'(x) for all real x II. f'(x)≤g'(x) for all real x
III. f(x)dx ≤ [8(x)dx
(A) None
(B) I only
(C) III only
(D) I and II only
(E) I, II, and III
]Express the following running times in big
O:
43n+ 52n2 + 14n
54n
66n2 + 61n
log(n) + 88n + 31n
(9n*(5n + 7)(8n+9)) / 50
29
46n log(n) + 52n
11n+ 44n2 + 33n
The running times of the given expressions can be expressed in big O notation as follows:
43n + 52n^2 + 14n: This expression has the highest degree term as n^2. Therefore, the running time can be expressed as O(n^2), indicating that the running time grows quadratically with the input size n.
54n: This expression has a linear relationship with the input size n. Hence, the running time can be expressed as O(n), indicating that the running time grows linearly with the input size.
66n^2 + 61n: Similar to the first expression, this expression has the highest degree term as n^2. Therefore, the running time can be expressed as O(n^2), indicating a quadratic growth rate.
log(n) + 88n + 31n: The logarithmic term log(n) has a slower growth rate compared to the linear terms 88n and 31n. Hence, the overall running time can be expressed as O(n), indicating a linear growth rate.
(9n*(5n + 7)(8n+9)) / 50: This expression involves multiple terms and factors. However, the highest degree term is n^3. Therefore, the running time can be expressed as O(n^3), indicating a cubic growth rate.
29: This expression represents a constant value. Regardless of the input size, the running time remains constant. Hence, it can be expressed as O(1).
46n log(n) + 52n: The presence of the logarithmic term log(n) indicates a slower growth rate compared to the n term. Therefore, the running time can be expressed as O(n log(n)), indicating a growth rate between linear and quadratic.
11n + 44n^2 + 33n: This expression has the highest degree term as n^2. Therefore, the running time can be expressed as O(n^2), indicating a quadratic growth rate.
In summary, the running times of the given expressions can be summarized as follows: two expressions have a quadratic growth rate (O(n^2)), two have a linear growth rate (O(n)), one has a cubic growth rate (O(n^3)), one is constant (O(1)), and two have a growth rate between linear and quadratic (O(n log(n))).
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Marco is investigating some of the business models of SureSpin, one of Faster Fidget's top competitors. He has learned that they model their cost of production for one type of spinner with the function C(x) = 13,450 + 1.28x, where x is the number of spinners produced. Interpret the model to complete the statement. Type the correct answer in each box. Use numerals instead of words. Based on the model, the fixed cost of production is $
Answer:
$13,450
Step-by-step explanation:
The fixed costs of production, are the costs incurred that are independent from the production volume, that is, regardless of how many spinners the company produces, those costs will remain the same. If 'x' is the number of spinners produced, interpreting the cost function, we can see that it costs $1.28 to produce each spinner and that there is a cost that does not rely on production of $13,450. Therefore, the fixed cost of production is $13,450.
13 candy bars weigh 39 ounces.what is the weight of 25 candy bars
Answer:
75 ounces
Step-by-step explanation:
39/13=3 so each candy bar weighs 3 ounces each so 25*3=75
Answer:
75 ounces
Step-by-step explanation:
39 divided by the amount of candy bars (13) is 3. Which means each candy bar weighs 3 ounces. So 3 times 25 is 75.
whats the measure of
What is the missing side
Answer:my brother said 3.
Step-by-step explanation:
FOR EACH SITUATION IDENTIFY IT AS AN EXPONENTIAL GROWTH OR EXPONENTIAL DECAY. town's population was 3800 in 2005 and growing at a rate of 2% every year.
The function of the town's population is an exponential growth
How to classify the function as growth or decayFrom the question, we have the following parameters that can be used in our computation:
Initial population = 3800
Growth rate = 2% every year
From the above, we understand that
There is a growth in the population by 2% every year
Using the above as a guide, we have the following:
This means that the function is an exponential growth
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\(\frac{3}{x+7} +\frac{4}{x-8}\)
{7x+4}/{x^2-x-56}
using common denominators
The answer please answer
Step-by-step explanation:
Area of trapezoid
= 1/2 × 4 × [6 + (5+8)]
= 1/2 × 4 × 19
= 38 cm²
Help i will give brainliest to the best answer.
Answer:
-2
Step-by-step explanation:
1. reduce the numbers by taking out the greatest common factor which is 9.
2. taking out 9 leaves you with \(-8\) multipied by 1/4
Answer:
-2
Step-by-step explanation:
\((-\frac{8}{9} )\) ÷\((\frac{4}{9})\)
changing division sign to multiplication and doing reciprocal
\(-\frac{8}{9}*\frac{9}{4}\)
9 and 9 gets cancel so,
\(-\frac{8}{4}\)
4 divides 8 exactly by 2 and keep minus sign as it is
-2
1. Given the true conditional statement: "If a pumpkin helps others across the road, then the pumpkin is a crossing gourd." A pumpkin
named Jack helped Pumpkin Pi to cross the road. Decide if the statement is a logical conclusion based only on the information above.
Explain how you know.
a. Pumpkin Pi is a crossing gourd.
b. Jack is a crossing gourd
Answer:
b. it's confusing
The hypotenuse of a triangle is 13 and one of the legs is 8. What is the length of the other leg of the triangle?round to the nearest 10th
Answer:
10.2
Step-by-step explanation:
the hypotenuse is 13 and one of its lengths is 8. Let's assume that the perpendicular is 8 and we have to find the base so
\(a^{2}\)+\(b^{2}\)=\(c^{2}\)
8^2+b^2=13^2
64+b^2=169
b^2=169-64
b^2=105
\(\sqrt{b^{2}\)=\(\sqrt{105}\)
b=10.246950766
to the nearest tenth
b=10.2
what is the 1ooth digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 ?
The 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.
First, let's convert the number (1 .fi.)3000 into its decimal representation. This is done by dividing 3000 by 10 raised to the power of the number of digits following the decimal point, which in this case is 3. We get the answer 1000, or 1.000.
Now, we can look at the 100th digit to the right of the decimal point. This will be the 0th digit from the right of the decimal point, which is 0. Therefore, the 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.
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Simplify
(3x^2y^3/z^3)^3
Answer:
27x^6 y^9
z^9
Step-by-step explanation:
That should be the answer,if not...sorry!:)
the questionnaire is a carefully constructed measurement instrument. group of answer choices true false
Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.
A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.
Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.
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