Find the value of x from the given equation.
x3 = 125/512
518
Sla
516
815
Answer:
x = 5/8
Step-by-step explanation:
x^3 = 125/512
Take the cube root of each side
x^3 ^1/3 = (125/512)^ 1/3
We know (a/b) ^1/3 = a^ 1/3 / b^1/3
x = (125) ^1/3 / (512)^ 1/3
x = 5/8
What's a radian?
A) The ratio between a circle's diameter and its radius
B) The distance halfway around a circle
C) The ratio between a circle's circumference and its radius
D) An angle made at the center of a circle by an arc whose length is equal to the radius of the circle
Answer:
The correct answer is d.
One angle measures 27° more than 2 times another. If the two angles are complementary, find the measures of the angles.
A. 21°; 69°
B. 26°; 64°
C. 31°; 59°
D. 23°; 67°
Answer:
A. 21°, 69°
Step-by-step explanation:
If you work by process of elimination all you have to do is take 27 away from the bigger degree of the two and see if it is 2x as much as the smaller degree.
Ex.
1. 69°-27°= 42°, which is 2x as many as 21°.
A store has clearance items that have been marked down by 55%. They are having a sale advertising an additional 40% off Clarence items what percentage of the original price do you end up paying?
9514 1404 393
Answer:
27%
Step-by-step explanation:
The price multiplier for the first discount is (1 -55%) = 0.45.
The price multiplier for the second discount is (1 -40%) = 0.60.
Then the price multiplier for the two discounts together is ...
(0.45)(0.60) = 0.27
You end up paying 27% of the original price.
find the coefficient of the third term of (x+2)^5
Answer:
40
Step-by-step explanation:
(x+2)^5 use binomial theorem :
(a+b)^n = (n choose 0)*a^n*b^0 + (n choose 1)*a^(n-1)*b^1 + (n choose 2)*a^(n-2)*b^2) + ... + (n choose (n-1)*a^1*b^(n-1) + ( n choose n)*a^0*b^n
this seems like a lot but to break it down, notice how the exponent on 'a' decreases as the exponent on 'b' gets bigger.
also, the 'choose' formula is :
(n choose r ) = n!/ (n-r)!r!
now plug in your values
(x+2)^5 =
(5 choose 0)*x^5*2^0 + (5choose 1)*x^4*2^1 + (5 choose 2)*x^3*x^2 + (5 choose 3)*x^2*2^3 + (5 choose 4)*x^1*2^4 + (5 choose 5)*x^0*x^5
we only need the third term so we will solve for this :
(5 choose 2)*x^3*x^2
5 choose 2 = 5!/ (5-2)!2! = 5!/ 3!2! = 10
x^3 * 2^2 = 4x^3
10*4x^3 = 40x^3
Sam can mow a lawn in 40 minutes. Melissa can mow the same lawn in 80 minutes. How long does it take for both Sam and Melissa to mow the lawn if they are working together?
Answer:
It will take them both 24 minutes to mow the lawn if they are working together.
Step-by-step explanation:
Given that Sam can mow a lawn in 40 minutes, and Melissa can mow the same lawn in 80 minutes, to determine how long does it take for both Sam and Melissa to mow the lawn if they are working together, the following calculation must be performed:
1/40 + 1/60 = 1 / X
3X + 2X = 120
X = 120/5
X = 24
Thus, it will take them both 24 minutes to mow the lawn if they are working together.
Hey!!! Plz help the question is below in a image
Answer:
desculpa não consigo responder pq esta td inglês ou espanhol prá mim se vc me dizer como posso fazer para voltar a ser português possa te ajudar em algo
Answer:
2.72 [tex]cm^2[/tex]
Step-by-step explanation:
You first find the area of the whole rectangle.
Then you have to find the area of the circle. The area of a circle is [tex]2\pi r[/tex].
The radius is 1 so it will be 2[tex]\pi[/tex].
[tex]\pi[/tex] equals 3.14 so you have to do 3.14*2 that equals 6.28.
Finally subtract 9-6.28=2.72
PLEASE HELP!! MIGHT GIVE BRAINLIEST!!!!!
Graph a line with x - intercept of -2 and has a slope of 3
Answer:
The answer must be between 20 and 5000 characters
Please helpppp!!!!!!!
X=180-57-57=66
Dababy sus
To measure achievement of third grade students, a school system randomly selects four third grade classes and tests all children in those classes. This is an example of what type of sampling?
a. systematic
b. stratified
c. cluster
d. convenience
Answer:
Cluster
Step-by-step explanation:
When observations from a large population are divided into groups, such that subjects in each of these groups are similar to one another than those in the other groups. These individual groups of observation are called clusters. In the scenario above, the random group of 4 third grade classes selected represent of cluster or group since all the subjects belong to the class grade which is to be measured and all subjects belonging to the selected cluster or group are to be measured.
What are the x-intercepts of the graph of the function f(x) = x2 + 5x - 36?
O (-4,0) and (9, 0)
O (4,0) and (-9,0)
O (-3,0) and (12, 0)
O (3,0) and (-12, 0)
Answer: (3,0) and (-12,0)
Step-by-step explanation:
The x-intercepts of the graph of f(x) = x² + 5x - 36 are (-9,0) and (4,0).
Option B is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the x-intercepts of the function f(x) = x^2 + 5x - 36,
we need to set y = f(x) to 0 and solve for x.
So, we have:
x² + 5x - 36 = 0
We can factor the left side of the equation:
(x + 9)(x - 4) = 0
Using the zero product property, we get:
x + 9 = 0 or x - 4 = 0
Solving for x, we get:
x = -9 or x = 4
Therefore,
The x-intercepts of the graph of f(x) = x² + 5x - 36 are (-9,0) and (4,0).
Learn more about functions here:
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Will mark BRAINLIEST :)
Area of 1 face of this cube
= s²
Because it is a square.
Answer:
s√2
Step-by-step explanation:
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100 mice eat 100 cakes. If each big mouse eats 3 cakes, and 3 baby mice eat 1 cake, how many big mice and baby mice are there?
Select the correct answer.
Solve for x.
B.
C.
D.
Answer:
C. [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]20x - 40 = 100x[/tex][tex]20x - 100x = 40[/tex][tex]- 80x = 40[/tex][tex]x = -\frac{40}{80}[/tex][tex]x = -\frac{1}{2}[/tex]A waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold 10 yd3 of debris. Find the dimensions of the dumpster that will minimize its surface area.
Answer:
The dimensions are:
l = 2*1.96 = 3.92 yd
h = 5/(1.96)² = 1.30 yd
w = 1.96 yd
Step-by-step explanation:
The volume is given by:
[tex]V=l*w*h[/tex]
Where:
l is the longw the wide h the heightWe know that l = 2w, so we have:
[tex]V=2w^{2}*h[/tex]
[tex]10=2w^{2}*h[/tex]
[tex]5=w^{2}*h[/tex] (2)
Now, the surface of this parallelepiped is:
[tex]S=2wh+2lh+lw[/tex]
Using l = 2w:
[tex]S=2wh+4wh+2w^{2}[/tex]
Using (2) we obtain the surface equation in terms of w.
[tex]S=2w\frac{5}{w^{2}}+4w\frac{5}{w^{2}}+2w^{2}[/tex]
[tex]S=2\frac{5}{w}+4\frac{5}{w}+2w^{2}[/tex]
We need to take the derivative with respect to w to minimize the surface area.
[tex]S=2\frac{5}{w}+4\frac{5}{w}+2w^{2}[/tex]
[tex]S=\frac{30}{w}+2w^{2}[/tex]
[tex]\frac{dS}{dw}=-\frac{30}{w^{2}}+4w[/tex]
Now, let's equal it to zero.
[tex]0=-\frac{30}{w^{2}}+4w[/tex]
[tex]\frac{30}{w^{2}}=4w[/tex]
[tex]w^{3}=\frac{30}{4}[/tex]
[tex]w=1.96\: yd[/tex]
So, l = 2*1.96 = 3.92 yd and h = 5/(1.96)² = 1.30 yd
Therefore, the dimensions are:
l = 2*1.96 = 3.92 yd
h = 5/(1.96)² = 1.30 yd
w = 1.96 yd
I hope it helps you!
he solutions to the inequality y > −3x + 2 are shaded on the graph. Which point is a solution? (0, 2) (2, 0) (1, −2) (−2, 1)
Answer:
The Answer Is Point B (2,0)
Step-by-step explanation:
The question says Simplify 7log7(49)
9514 1404 393
Answer:
14
Step-by-step explanation:
[tex]7\log_7(49)=7\log_7(7^2)=7\cdot2=\boxed{14}[/tex]
how you could find the shortest distance from A(6, 5) to the line y = 5x – 10?
Answer:
The distance between two points (a, b) and (c, d) is given by:
[tex]d = \sqrt{(a - c)^2 + (b - d)^2}[/tex]
So the distance between the point (6, 5) and the line y = 5x - 10 can be thought as the distance between the point (6, 5) and the point (x, 5x - 10)
Where:
(x, 5x - 10) denotes all the points in the line y = 5x – 10
That distance is given by:
[tex]d = \sqrt{(x - 6)^2 + (5x - 10 - 5)^2} = \sqrt{(x - 6)^2 + (5x - 15)^2}[/tex]
Now we want to minimize this.
Because the distance is a positive quantity, we can try to minimize d^2 insted, so we have:
[tex]d^2 = (\sqrt{(x - 6)^2 + (5x - 15)^2})^2 = (x - 6)^2 + (5x - 15)^2}\\\\d^2 = x^2 - 2*x*6 + 36 + 25*x^2 - 2*15*x + (-15)^2\\\\d^2 = 26*x^2 - 42*x + 261[/tex]
Notice that this is a quadratic equation with a positive leading coefficient, which means that the arms of the graph will open upwards, then the minimum will be at the vertex of the parabola.
Remember that for a parabola:
y = a*x^2 + bx + c
the x-value of the vertex is:
x = -b/2a
Then for our parabola:
d^2 = 26*x^2 - 42*x + 261
The vertex is at:
x = -(-42)/(2*26) = 0.808
Then we just need to evaluate the distance equation in that value of x to get the shortest distance:
[tex]d = \sqrt{(0.808 - 6)^2 + (5*0.808 - 15)^2} = 12.129[/tex]
The shortest distance between the point A and the line is 12.129 units.
A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can the camel drink in 6 minutes?
Answer: 9 gallons
Work Shown:
(15 gallons)/(10 minutes) = (x gallons)/(6 minutes)
15/10 = x/6
15*6 = 10*x ... cross multiplication
90 = 10x
10x = 90
x = 90/10
x = 9
The camel can drink 9 gallons in 6 minutes. This is assuming that the unit rate is kept the same.
The circumference of a
square orchard is 1600
meters. How many square
meters does the orchard
cover? How many hectares?
Answer:
A square is 4 even sides.
the circumference around the square area is 1600 meters. This means that each side is 400 meters.
Square meters is the area of the square.
400 x 400 = 160000 m^2
To get to Hectares, you divide the squared measurement by 10,000.
Answer:
160000m^2 = 16ha
Step-by-step explanation:
Bit of a nit pick first the word is perimeter not circumference circumference only applies to circles. 1600/4=400 (divide by 4 because a square has 4 sides) 400^2=160000 (A=L*H the length and height are the same so you square it) 160000/10000=16 (1 hectare = 10000m^2), Hope this helps. :)
Find the missing side. Round your answer to the nearest tenth
Answer:
x = 24.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
Sin theta = opp / hypotenuse
sin 75 = 24 /x
x sin 75 = 24
x = 24/ sin 75
x=24.84662
Rounding to the nearest tenth
x = 24.8
first to answer gets brainiest
Which line plot displays a data set with an outlier?
This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Resou
Grade
A
B C D F
ајӘН
Frequency 5
10
15
3
Find the probability that a student earns a
grade of D or F.
p = [?]
Enter a decimal rounded to the nearest hundredth.
Eva nail
Answer:
14.29%
Step-by-step explanation:
Total observations that had grade D or F: 5
Total observations: 35
[tex]\frac{5}{35} =\frac{1}{7} =.1429[/tex]
Answer:
.14
without rounding it is .1492 , rounded to the nearest hundredth it is .14
PLEASE HELP ASAP! I have been working on this same subject for three days & still keep getting it wrong.
Find the area of the figure. (Sides meet at right angles.)
3m
2m
5m
2m
3m
3m
3m
Answer:
[tex]2 \times 5 = 10 \\ 3 \times 11 = 33 \\ 10 + 33 = 43 \\ 43 {m}^{2} [/tex]
hey please give brainly
Find all the zeros of f(x).
f(x) = 2x3 + 7x2 - 28x + 12
Arrange your answers from smallest to largest. If
there is a double root, list it twice.
Plz help!
Answer:
The zeroes are -6, 1/2 and 2.
Step-by-step explanation:
f(x) = 2x3 + 7x2 - 28x + 12 = 0
From the first and last coefficient 2 and 12, one guess for a zero is x = 2.
So substituting x = 2:
f(2) = 16+ 28 - 56 + 12 = 0
So x = 2 is a zero and x - 2 is a factor of f(x)
Performing long division:
x - 2)2x3 + 7x2 - 28x + 12( 2x2 + 11x - 6 <------- Quotient
2x3 - 4x2
11x2 - 28x
11x2 - 22x
- 6x + 12
-6x + 12
.............
Now we solve
2x2 + 11x - 6 = 0
(2x - 1)(x + 6) = 0
2x - 1 = 0 or x + 6 = 0, so:
x = 1/2, x = -6.
Answer: -6, 1/2, 2.
Step-by-step explanation:
{(x) = 2x3 + 7x2 - 28x + 12 = 0
From the first and last coefficient 2 and 12, one
guess for a zero is x=2.
So substituting x=2:
{(2) = 16+ 28 - 56 + 12 = 0
So x = 2 is a zero and x - 2 is a factor of f(x)
Performing long division:
X - 2)2x3 + 7x2 - 28x + 12(2x2 + 11x - 6 <
Quotient
add the missing sequence
Answer:
a) 2, 6, 10, 14, 18, 22
b)60, 59, 57, 54, 50, 45
c)240, 120, 60, 30, 15, 7 1/2
Step-by-step explanation:
The answer was already there.
write the greatest and least number by using the following digits with out repeating any of the digits. 2,5,1,6,3,0,8,7
Answer:
87653210=highest
01235678=least
Answer:
Least number: 10235678
Greatest number: 87653210
a river generates a spring flood about 40% of the time. Based on these records, what is the chance that it will flood for at least three years in a row sometime during the next five years
Question 5 of 25
Find the common ratio for this geometric sequence.
0.7, 2.1, 6.3, 18.9,...
O A. 1.4
O B. 3
O C.-3
D. 0.33
SUBMIT
Answer:
3
Step-by-step explanation:
common ratio
2.1/0.7=3
6.3/2.1=3
18.9/6.3=3
therefore common ratio is equal to 3
28 es que porcentaje de 144
Answer:
19.44%
Step-by-step explanation:
28/144 × 100 = 19.44
I hope this helps
19.4 percent of 144 is 28.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying by 100.
The percentage change is also calculated using the same method.
In percentage change we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Percentage= M
Now,
M% of 144 = 28
M/100 x 144 = 28
Solve for M.
(M/100) x 144 = 28
M/100 = 28/144
M = 28/144 x 100
M = 19.44%
Thus,
28 is 19.4 percent of 144.
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The complete question.
28 is what percent of 144.
