Answers
Hey ! there
Answer:
n is equal to 3 metersStep-by-step explanation:
In this question we are provided with a cube having volume 27 cubic meters . And we are asked to find the value of n that is basically its edge .
For finding the value of n we need to know the volume of cube. So ,
[tex] \: \qquad \: \qquad \: \underline{ \boxed{ \frak{Volume_{(Cube)} = a {}^{3} }}}[/tex]
Where ,
a refers to edge of cubeSOLUTION : -
Substituting given volume that is 27 m³ and value of a as n in formula :
[tex] \quad \longrightarrow \qquad \: n {}^{3} = 27[/tex]
Applying cube root on both sides :
[tex] \quad \longrightarrow \qquad \: \sqrt[3]{n {}^{3} } = \sqrt[3]{27} [/tex]
We get ,
[tex] \quad \longrightarrow \qquad \:n= \sqrt[3]{27} [/tex]
We know that 3 × 3 × 3 is equal to 27 that means cube root of 27 is 3 . So ,
[tex] \quad \longrightarrow \qquad \: \blue{\underline{\boxed{\frak{ n = 3 \: m}}}} \quad \bigstar[/tex]
Henceforth , value of n is ❝ 3 meters ❞Verifying : -
Now we are checking our answer whether it is wrong or right by substituting value of n and equating it with given volume that is 27 cubic meters . So ,
a³ = 27 ( where a is equal to n )Substituting values :
( 3 )³ = 273 × 3 × 3 = 279 × 3 = 2727 = 27L.H.S = R.H.SHence, Verified .Therefore, our answer is correct .
#Keep LearningAnswer:
3
Step-by-step explanation:
Formula for volume of cube :
V = n³Here, V is given to be 27 m³.
Substitute the value of V in the formula.
Solving : Take the cubic root on each side.
27 m³ = n³n = ∛27 m³n = 3 metersRelated Questions
CAN SOMEONE PLASE HELP ME WITH THIS PROBLEM
Answers
Answer:
Step-by-step explanation:
function f is shown below
f(-3)
f(4)
find x when f(x) = 5
find x when f(x)= -3
Answers
Answer:
See below ~
Step-by-step explanation:
Based on the graph,
f(-3)f(-3) = 02. f(4)
f(4) = -33. x when f(x) = 5
f(x) = 5x = 04. x when f(x) = -3
f(x) = -3x = ±4If Dwight Johnson has 7 courses to choose from, how many ways can he arrange his schedule if he must pick 4 of them?
Answers
Answer:
35 ways
Step-by-step explanation:
[tex]_7C_4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!*3!}=\frac{7*6*5}{3*2*1}=\frac{210}{6}=35[/tex]
Therefore, Dwight can arrange his schedule in 35 ways if he must pick 4 out of 7 courses to choose from.
Ten runners join a race. in how many possible ways can they be arranged as first,second,and third places
Answers
Answer:
in 720 Possibles ways Ten runners can be arranged as first, second, and third placers
Laura wants 3 scoops of ice cream. She can choose from vanilla, chocolate, mint, raspberry,
blueberry, and coee avors. How many combinations of 3 scoops of ice cream can Laura choose
from? Show your work and explain whether or not this is a scenario in which repetition is allowed.
Answers
The number of the combinations of 3 scoops of ice cream can Laura choose will be 20.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Laura wants 3 scoops of ice cream.
She can choose from vanilla, chocolate, mint, raspberry, blueberry, and coffee flavors.
Then the number of the combinations of 3 scoops of ice cream can Laura choose will be given as
→ ⁿCₐ
The total number of the flavor will be
n = 6
Then the number of the chosen flavor will be
a = 3
Then we have
→ ⁶C₃
→ 20
More about the permutation and the combination link is given below.
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A heard of elk increased from 75 in 1998 to 310 in 2005. Find the annual percent of increase for this heard.
Answers
Answer:
[tex]313.3333\%[/tex]
Step-by-step explanation:
Based on given conditions, formulate:
[tex] \frac{310 - 75}{75} [/tex]
Calculate the sum:
[tex] \frac{253}{75} [/tex]
Simplify it:
[tex] \frac{47}{15} [/tex]
Convert that to a decimal:
[tex]3.133333[/tex]
Multiply that:
[tex]3.133333 \times \frac{100}{100} [/tex]
Calculate that:
[tex] \frac{3.133333 \times 100}{100} [/tex]
Convert that:
[tex]313.3333\%[/tex]
Write the repeating decimal as a fraction.
1.4979
Answers
Answer:
1 4979/9999
Step-by-step explanation:
1.497949794979....
= 1 4979/9999
Solve the following system of equations by linear combination: 5x + 2y = 14 y = x – 7 (4, –3) (2, –5) (–5, 2) (–3, 4)
Answers
The solution to the system of equations is (-3,4)
How to solve the system of equations?The equations are given as:
5x + 2y = 14
y = x – 7
Substitute y = x – 7 in the first equation
5x + 2(x - 7) = 14
Expand
5x + 2x - 14 = 14
Evaluate the like terms
7x = 28
Divide
x = 4
Substitute x = 4 in y = x – 7
y = 4 – 7
Evaluate
y = -3
Hence, the solution to the system of equations is (-3,4)
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What is the ratio of lines b : c if A is 77°
Answers
Answer:
3rd option
Step-by-step explanation:
the ratio of b : c is the cos77° , that is
cos77° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] ≈ 0.224951054.
Which graph shows the function W, X, Y, Z
Answers
Answer:
the correct graph is attached
Step-by-step explanation:
x ≥ 1 means there is a closed dot at 1
and -x + 8 means there should be an y intercept at 8 with negative slope
so it could've only been the right side graphs than the first function is positive so the top right cant be right meaning the bottom right is the correct graph
What is the answer????????
Answers
Answer:
[tex] \sqrt{ - 100} = 10i = 0 + 10i[/tex]
At the circus, an acrobat is standing on a platform that is 27 feet from the ground when he sees a peanut on the ground below. How far is the peanut away from the base of the platform if the angle of elevation from the peanut to top of the acrobat's platform is 25°?
Answers
Answer:
The peanut is 12.59 feet away from the base of the platform.
Step-by-step explanation:
When solving these equations, we can first start out by noticing that this requires a trigonometry function.
There are three types : cos, sin, and tan. (cosine, sin, and tangent)
Cos is for finding and dealing with the adjacent and the hypotenuse.
Sin is for finding and dealing with the opposite and the hypotenuse.
Tan is for finding and dealing with the opposite and the adjacent.
The opposite is the bottom base, to the peanut.
The adjacent is the height from the bottom base, to the top.
The hypotenuse is the top, to the peanut.
27 feet would be the adjacent.
Since we don't know bottom base to the peanut, we would call this x. (opposite)
*Side note* : The degrees is always in between the adjacent and hypotenuse.
For this, we need the length between the peanut and the bottom base. This would be the adjacent and the opposite. Meaning we're using tangent. The equation for tangent is :
tan (degrees) = opposite/adjacent
So, now we simply put in the data.
tan 25 = x/27
We can now, first get x alone by multipling both sides by 27.
27 * tan 25 = x
Plug this into a scientific calculator :
27 * tan 25
We the answer to be 12.59
The peanut is 12.59 feet away from the base of the platform
Which equation represents the parabola shown on the graph?
O y2 = -2x
O y² = -8x
O x² = -2y
O x² = -8y
Answers
The equation that represents the horizontal parabola given on the graph is:
y² = -8x
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
x = a(y - k)² + h
In which a = 1/p is the leading coefficient.
In this problem, the vertex is (0,0), hence h = k = 0, and:
ay² = x.
The directrix is at x = 2, and the parabola opens left, hence:
p = -4(2 - 0) = -8.
Hence the equation is:
y² = px = -8x.
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Find f(4) given f(x) = 2x^2 - 7
Answers
Answer:
f(4) = 25
Step-by-step explanation:
substitute x = 4 into f(x)
f(4) = 2(4)² - 7 = 2(16) - 7 = 32 - 7 = 25
Please help me i need help few
Answers
Angle A is right
Angle B is obtuse
Angle C is acute
Angle D is right
Explanation:
Right angles are 90°
A cute angles are anything less than 90°
Obtuse angles are anything larger than 90°
-5(y+.2)=25 what is y? PLEASE SOLVE ASAP
Answers
-5(y+2)=25
y+2=25 ÷(-5)
y+2= -5
y= -5-2
y=7
If you divide a number by 8, the answer is
20. What is the number?
Answers
Answer:
160
Step-by-step explanation:
160 divided 8 =20
Answer:
The answer is 160
Step-by-step explanation:
Let the unknown number be x.
x/8=20
x and 8 are linked by a division so if 8 crossed the equality sign it becomes multiplication. So we'll have
x=20*8
x=160
Therefore x is equal to 160.
LET'S CHECK IF IT'S CORRECT
160/8=20
A hyperbola has its foci at (1, 7) and (1, –13). a directrix of the hyperbola is y = . what is the equation of the hyperbola?
Answers
The equation of the hyperbola is [tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]
How to determine the hyperbola equation?The foci are given as:
(1, 7) and (1, -13)
The foci of a hyperbola are represented using: (m, n+p) and (m, n-p)
Where the center of the hyperbola is (n,p)
By comparison, we have:
m = 1
n + p = 7
n - p =13
Where n = ae
The solution to the above system of equations is
m = 1, n = 10 and p = -3
The directrix is given as:
y = 64/10
The directrix is represented as:
y = a/e
So, we have:
a/e = 64/10
Substitute n = ae in n = 10
ae = 10
Solving ae = 10 and a/e = 64/10, we have:
a = 8 and e = 10/8
To calculate b, we make use of:
[tex]b = a\sqrt{(e^2 - 1)[/tex]
So, we have:
[tex]b = 8\sqrt{(\frac{10}{8}^2 - 1)[/tex]
Evaluate
b = 8 * 0.75
b = 6
The equation of the hyperbola is then calculated using:
[tex]\frac{(y - p)^2}{a^2} -\frac{(x - m)^2}{b^2} = 1[/tex]
This gives
[tex]\frac{(y + 3)^2}{8^2} -\frac{(x - 1)^2}{6^2} = 1[/tex]
Evaluate
[tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]
Hence, the equation of the hyperbola is [tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]
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if jane has 3 pars and take 3 pars how many pars would she had left
Answers
Answer:
0 pars
Step-by-step explanation:
3-3=0
...........Help me please help me
Answers
the answer to that is -120
Step-by-step explanation:
-120+74=-46
Answer:
k = -120
Step-by-step explanation:
k + 74 = -46
Subtract 74 from both sides:
k + 74 = -46
- 74 - 74
k = -120
Final answer: k = -120
Hope this helps!
NEED ASAP PLS HELP ILL MARK BRAINLIEST IF CORRECT
(06.02 MC)
A line is drawn on a scatter plot, as shown below:
Which statement best describes the line?
(A) It can be the line of best fit because it shows a positive linear association between x and y.
(B) It can be the line of best fit because it closely fits the data points.
(C) It cannot be the line of best fit because it does not pass through all the data points.
(D) It cannot be the line of best fit because it shows a negative linear association.
Answers
Answer:
B
Step-by-step explanation:
what are 3 consecutive multiples of 3 if 2/3 of the sum of the first 2 numbers is 1 greater than the third number?
Answers
2/3(x + x+3) = x+6 + 1
2(2x + 3) = 3(x + 7)
4x + 6 = 3x + 21
4x - 3x = 21 - 6
x = 15
The three numbers are 15, 18, 21. [2/3(15 + 18) = 22 = 21 + 1]
A city Science High School uses standardized IQ test to screen students for admission. It is known that the population standard deviation of these IQ scores is 15. The school principal claimed that the average IQ of the students in their school is 110. Miss Cruz, a researcher, wants to validate the claim. She selected a random sample of 50 students and administered the IQ test. She found that the mean IQ of the sample is 105. Perform a test of hypothesis at 0.05 level of significance.
Answers
Using the z-distribution, it is found that we reject the null hypothesis, which means that her claim is not validated.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 110, that is:
[tex]H_0: \mu = 110[/tex].
At the alternative hypotheses, it is tested if the mean is less than 110, that is:
[tex]H_1: \mu < 110[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, we have that the parameters are given as follows:
[tex]\overline{x} = 105, \mu = 110, \sigma = 15, n = 50[/tex]
Hence the test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{105 - 110}{\frac{15}{\sqrt{50}}}[/tex]
z = -2.36.
What is the decision?Using a z-distribution calculator, z = -2.36 has a p-value that is less than the standard significance level of 0.05, hence we reject the null hypothesis, which means that her claim is not validated.
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The school library is (3x - 4) metres long and (2x - 3) metres wide. Find the floor area of the library in:
a) terms of x
b) square metres if x = 4
Answers
Answer:
40 meters
Step-by-step explanation:
x=4
3x-4=12-4
2x-3=8-3
12-4=8
8-3=5
8x5=40
A couple is looking for a mortgage to purchase a house for $256,000. If the bank requires a 5% down payment, what is the amount to be mortgaged?
$128000
$12800
$243200
$25600
Answers
Multiply $256,000 by 5%
pls help odd numbers only
Answers
Answer:
The question asks, "find the slope".
9) -4/15
10) -1/14
11) -3/4
12) -1/4
13) 11/17
14) -18/13
15) 0
16) -30
17) -5
19) -1/5
21) 1/4
23) -1
25) -2/3
Dylan's cow produces 21 1/3 liters of milk per day.The milk is put into bottles with a volume of 2 1/3 liters.How many bottles does Dylan need each week to bottle all the milk?
Answers
The amount of bottles that Dylan needs each week to bottle all the milk is; 64 bottles
How to work with Algebra?
We are given;
Amount of Milk produced by Dylan's cow per day = 21 ¹/₃ liters
Thus, amount of liters of milk produced in a week = 21 ¹/₃ liters * 7 = 448/3 liters.
Then, number of bottles required in a week = 448/3 ÷ 2¹/₃ = 448/7
Number of bottles required in a week = 64 bottles
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Can anyone help me with this quick question please, ASAP, Thank You!
Answers
Answer:
15.7 lbs (please mark brainliest)
Step-by-step explanation:
2.6+x+x=34
2x=31.4
x=15.7
Answer: 14.4
Step-by-step explanation: I took 34 and divided it by 2 then subtracted 2.6 from 17 which gave me 14.4. If it's wrong, sorry.
Find the ratio of 4cm and 8mm
Answers
Answer:
5 : 1
Step-by-step explanation:
Unit conversion (between cm and mm) : 1 cm = 10 mm
⇒ 4 cm : 8 mm
⇒ 4 x 10 mm : 8 mm
⇒ 40 mm : 8 mm
⇒ 5 : 1
see attached question please please help!!
Answers
Based on the size of the pool that Mr. DelGrande wants to build, the ratio of the Olympic pool to the smaller pool is 2.5:1 and the area of an Olympic pool is 1,250 m².
What is the ratio of the length of an Olympic pool to Mr. DelGrande's pool?The ratio of the pools is:
Olympic pool length : Mr. DelGrande pool
50 : 20
Simplest terms give:
50 / 20 : 20 / 20
2.5 : 1
What is the area of a regulation Olympic Pool?Given the area of Mr. DelGrande's pool, the area of an Olympic pool is:
= Ratio ² x Area of Mr. DelGrande pool
= 2.5² x 200
= 1,250 m²
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