9514 1404 393
Answer:
∛188 ≈ 5.72865
Step-by-step explanation:
Any scientific or graphing calculator or spreadsheet can tell you the cube root of 188.
∛188 ≈ 5.72865431598...
__
You know that 5³ = 125 and 6³ = 216, so the root will lie between 5 and 6, closer to 6. As a first approximation, you can figure it is about ...
x = ∛188 ≈ 5 + (188-5³)/(6³ -5³) = 5 + 63/89 ≈ 5.71
You can figure this much using a 4-function calculator.
A closer approximation (x') can be had using the iteration formula ...
x' = (2x³ +188)/(3x²)
For x = 5.71, the value of x' is ...
x' ≈ (2×5.71³ +188)/(3×5.71²) ≈ 560.3388/97.8123 ≈ 5.7287
This value is correct when the root is rounded to 4 decimal places. Another execution of the iteration formula using this value will give the root accurate to 9 decimal places.
The equation represents the total resistance, r, when two resistors
whose resistances are r1 and r2 are connected in parallel. Find the total
resistance when r1 is x and r2 is x + 1.
Answer:
[tex]R = \frac{x(x+1)}{2x+1}[/tex] --- total resistance
Step-by-step explanation:
Given
[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]
Required
Find R when
[tex]R_1 = x[/tex]
[tex]R_2 = x+1[/tex]
So, we have:
[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]
Substitute values for both R's
[tex]\frac{1}{R} = \frac{1}{x} + \frac{1}{x+1}[/tex]
Take LCM
[tex]\frac{1}{R} = \frac{x+1+x}{x(x+1)}[/tex]
Collect like terms
[tex]\frac{1}{R} = \frac{x+x+1}{x(x+1)}[/tex]
[tex]\frac{1}{R} = \frac{2x+1}{x(x+1)}[/tex]
Inverse both sides
[tex]R = \frac{x(x+1)}{2x+1}[/tex]
Analyze the graph below and complete the instructions as follows.
Answer:
Option A:
x^2 + (y - 2)^2 = 9
Step-by-step explanation:
We know that the equation for a circle centered in the point (a, b) and of radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
So the first thing we need to find is the center of the circle.
We can see that the center is at:
x = 0
y = 2
Then the center is at the point (0, 2)
Now we want our circle to pass through point 2, located at a distance of 2 units from the radius of the first circle.
So the distance between the center and point 2 is 2 units plus the radius of the smaller circle:
And the radius of the smaller circle is one unit.
Then, the radius of a circle centered at (0, 2) that passes through point 2 is:
R = 1 + 2 = 3
Then we have a circle centered at (0, 2) and of radius R = 3
Replacing these in the equation for a circle we get:
(x - 0)^2 + (y - 2)^2 = 3^2
x^2 + (y - 2)^2 = 9
The correct option is A
Which function is graphed?
Answer:B
Step-by-step explanation:
This is the only possible answer trust me
Rewrite the given equation in logarithmic form. Then, select all of the equations with an equivalent solution.
8e^x - 5 = 0
Answer:
ans: ln (5/8) , ln5 - ln8
Step-by-step explanation:
8e^x -5 = 0
e^x = 5/8
x = ln (5/8)
x = ln5 - ln8
MATH PROBLEM 20 POINTS
Identify two segments that are marked congruent to each other on the diagram
below. (Diagram is not to scale.)
K
H
#
is congruent to
Answer:
segments LJ and LI are congruent
Step-by-step explanation:
look for the little lines (tick marks)
similar marks mean congruent to each other
The two congruent segments in the figure are LJ and LI.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.
An included angle is found between two sides that are under consideration. Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.
In the figure, the two segments marked are LI and LJ these two segments are congruent to each other. Congruency means the shape and the size of the segments will be equal to each other.
To know more about congruency follow
https://brainly.com/question/2938476
#SPJ2
What is 15 5/7 - 6 4/5
Answer:
8.9
Step-by-step explanation:
15.71428571-6.8=8.914285714
We round of to one significant figure because its addition n the lowest is 6.8
Answer:
[tex]8\frac{32}{35}[/tex]
Step-by-step explanation:
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.7 feet and a standard deviation of 0.4 feet. A sample of 74 men’s step lengths is taken. Step 1 of 2 : Find the probability that an individual man’s step length is less than 2.5 feet. Round your answer to 4 decimal places, if necessary.
Answer:
0.3085 = 30.85% probability that an individual man’s step length is less than 2.5 feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 2.7 feet and a standard deviation of 0.4 feet.
This means that [tex]\mu = 2.7, \sigma = 0.4[/tex]
Find the probability that an individual man’s step length is less than 2.5 feet.
This is the p-value of Z when X = 2.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 2.7}{0.4}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a p-value of 0.3085
0.3085 = 30.85% probability that an individual man’s step length is less than 2.5 feet.
A motor oil retailer needs to fill 60 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that
contains 2 gallons of oil. Which will he need to fill the bottles?
Answer:
The motor oil retailer needs 15 gallons of oil, so he will have to use both tanks, and still have 1 gallon of oil short.
Step-by-step explanation:
Since a motor oil retailer needs to fill 60 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that contains 2 gallons of oil, to determine which will need to fill the bottles, the following calculation must be performed:
Quart to gallon = 4: 1
1/4 x 60 = X
60/4 = X
15 = X
Therefore, the motor oil retailer needs 15 gallons of oil, so he will have to use both tanks, and still have 1 gallon of oil short.
If the coordinates of a point p(m-3 , -6) = p(-7 , -6), then find the value of m .
Answer:
[tex]m =-4[/tex]
Step-by-step explanation:
Given
[tex]p(m-3 , -6) = p(-7 , -6)[/tex]
Required
Find m
[tex]p(m-3 , -6) = p(-7 , -6)[/tex]
By comparison:
[tex]m-3 = -7[/tex]
Add 3 to both sides
[tex]m = -7+3[/tex]
[tex]m =-4[/tex]
I don’t really understand these
Answer:
its answer is 3rd part
ABC-FED
Hey buddy I am here to help!
angle ABC = angle FED
Hope this answer helps!
Plz mark me brainliest!
What is a number divided by 3
gives a remainder of 1, divided by 4
gives a remainder of 2, divided by
5 gives a remainder of 3?
Answer:
58
Step-by-step explanation:
58/3 gives a remainder of 1
58/4 gives a remainder of 2
58/5 gives a remainder of 3
Consider a maximization linear programming problem with extreme points xi, x2, Xz. and x4. and extreme directions d1,. d2, and dz. and with an objective function gradient e such that cx1 =4, cx2 = 6, cx3= 6, cx4=3, cd1= 0, cd2=0, and cd3=2. Characterize the set of alternative optimal solutions to this problem.
Answer:
Set of alternative optimal solution : 0 ≤ z ≤ 1.5
Hence There will be an infinite set of Alternative optimal solution
Step-by-step explanation:
considering Cx1 = 4
∴ C = 4 / x1
Cx2 = 6
∴ 4x2 - 6x1 = 0
2x2 - 3x1 = 0 ------ ( 1 )
considering Cx3 = 6
C = 6/x3
Cx4 = 3
∴ (6/x3) x4 - 3 = 0
= 2x4 - x3 = 0 ---- ( 2 )
attached below is the remaining part of the solution
set of alternative optimal solution : 0 ≤ z ≤ 1.5
There will be an infinite set of Alternative optimal solution
What is tan 0 when csc 0= 2/3
Answer:
[tex]\tan{\theta} = \frac{\sqrt{11}}{11}[/tex]
Step-by-step explanation:
Cosecant:
The cosecant is one divided by the sine. Thus:
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
Tangent is sine divided by cosine, so we first find the sine, then the cosine, to find the tangent.
Sine and cosine:
[tex]\sin{\theta} = \frac{1}{\csc{\theta}} = \frac{1}{2\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{3}}{6}[/tex]
[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]
[tex]\cos^{2}{\theta} = 1 - \sin^{2}{\theta}[/tex]
[tex]\cos^{2}{\theta} = 1 - (\frac{\sqrt{3}}{6})^2[/tex]
[tex]\cos^{2}{\theta} = 1 - \frac{3}{36}[/tex]
[tex]\cos^{2}{\theta} = \frac{33}{36}[/tex]
First quadrant, so the cosine is positive. Then
[tex]\cos^{2}{\theta} = \sqrt{\frac{33}{36}} = \frac{\sqrt{33}}{6}[/tex]
Tangent:
Sine divided by cosine. So
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}} = \frac{\frac{\sqrt{3}}{6}}{\frac{\sqrt{33}}{6}} = \frac{\sqrt{3}}{\sqrt{33}} = \frac{\sqrt{3}}{\sqrt{3}\sqrt{11}} = \frac{1}{\sqrt{11}} \times \frac{\sqrt{11}}{\sqrt{11}} = \frac{\sqrt{11}}{11}[/tex]
The answer is:
[tex]\tan{\theta} = \frac{\sqrt{11}}{11}[/tex]
Which of the following statement is incorrect? .
a.Closure property is true for subtraction of Rational numbers
b.Commutative property is true for subtraction of Rational numbers
c.Closure property is true for addition of Rational numbers
d.Closure property is true for multiplication of Rational numbers
If you answer the question I will follow you
answer fast
Answer:
b.Commutative property is true for subtraction of Rational numbers
Step-by-step explanation:
Option B is the correct answer as it is the incorrect statment in the given options.12y^2+12y-3y^3 = 124-(y+5)
Answer:
[tex]{ \tt{12 {y}^{2} + 12y - 3 {y}^{3} = 124 - (y + 5)}} \\ 3 {y}^{3} - 12 {y}^{2} - 12y = - 124 + (y + 5) \\ {3y}^{3} - 12 {y}^{2} - 12y = - 124 + y + 5 \\ { \tt{3 {y}^{3} - {12y}^{2} - 11y + 119 = 0 }}[/tex]
plsssss help it’s timed!!!!!!
Answer:
the answer to this question is 36.86989°
for f(x)=4x+1 and g(x)=x^2-5, find (f-g) (x) need help guys!
Answer:
-x^2 +4x +6
Step-by-step explanation:
f(x)=4x+1
g(x)=x^2-5
(f-g)(x) = 4x+1 - (x^2-5)
Distribute the minus sign
= 4x+1 - x^2 +5
= -x^2 +4x +6
Part 1: Solve for the slope of the line inside of the scatter plot
Answer:
The slope is equal to 5.
Step-by-step explanation:
Point 1 (0, 5)
Point 2 (3, 20)
m=y2-y1/x2-x1
m=5-20/0-3
m=-15/-3=
m=5
I NEED HELP! You throw a ball from an initial height of 6 feet and with an initial velocity of 46 feet per second. Write an equation that gives the height of the ball (in feet) as a function of the time (in seconds) since it left your hand, then find the time it takes for the ball to hit the ground.
Answer:
t = 0.77930
t = 1.2832
Step-by-step explanation:
What is the length of leg s of the triangle below?
459
872
90+
45
A. 8
B. v
C. 8-12
D. 4.2
E. 1
F. 2
Answer:
option A
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45 = opposite / hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] = s/[tex]8\sqrt{2}[/tex]
[tex]\frac{1}{\sqrt{2} } *8\sqrt{2}[/tex] = s
root 2 and root 2 gets cancel
8 = s
Please help me I am confused and i will give you anything you want just help me. SOS
Answer:
hope it helps you..........
7.5 7 2/5 7.69 in order
Answer:
ok for this problem lets convert all of the number into decimals to make it easier.
7.5 is already a decimal
7 2/5 as a decimal is 7.4
7.69() is already a decimal
ok so 7.4 is lowest
7.5 is next
7.69 is highest
Answer:
In order from least to greatest is [tex]7\frac{2}{5},7.5,7.69[/tex]
Step-by-step explanation:
In order from greatest to least is the other way around
[tex]2/5 = 0.4[/tex]
So [tex]7.4[/tex]
Hope this is helpful
Can someone help me please???!
Answer:
1) Yes, it is a right angle triangle
2)Yes, it is a right angle triangle
3) No, they are not similar.
Step-by-step explanation:
Dimension of triangle A = 48, 55 & 73
Dimension of triangle B = 36, 77 & 85
For any of the triangles to be a right angled one, then;
c = √(a² + b²)
Where a,b & c are side dimensions of a triangle.
Thus;
Triangle A: c = √(48² + 55²)
c = √5329
c = 73
This tallies with what we are given and so it is a right angled triangle.
Triangle B: c = √(36² + 77²)
c = √(7225)
c = 85
Similar to the third side dimension of 85, thus it is true.
For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.
Thus, we have;
48/36 = 1.5
55/77 = 5/7
73/85 = 73/85
Since the ratios are not similar, then we can say that the triangles are not similar.
What side is the shortest in the picture?
A. GF
B. DG
C. EF
D. GE
F. DE
Answer:
A. GF
Step-by-step explanation:
The shortest side in a triangle is opposite the smallest angle
<d = 180 -52 -61 =67
The smallest angle is 52 so the smallest side is DG
<f = 180 - 48-85 =50
The smallest angle is 48 so the smallest side is FG
The smallest angle is 48 so the smallest side overall is FG (GF)
A) Which inequality is shown on this graph
B) which graph shows the inequality
Image attached
Evaluate the given equation for the indicated function values. pls help
Answer:
The answer in each numeral is:
f(4) = 28f(10) = -19f(-5) = -33f(9) = -9Step-by-step explanation:
To obtain the result in each case, you must replace the variable (n) by the value that appears in the second case, I'll explain it with the first exercise:
1. f(n) = 5n + 8 f(4) = ?As you can see, in the second doesn't appear f(n), but f(4), that means you must replace the "n" in the equation by 4, if we do this, we obtain:
1. f(4) = 5*(4) + 8f(4) = 20 + 8f(4) = 28The first answer is 28, now we'll continue with the next exercises:
2. f(n) = -2n + 1f(10) = -2*(10) + 1f(10) = -20 + 1f(10) = -193. f(n) = 6n - 3f(-5) = 6*(-5) - 3f(-5) = -30 - 3f(-5) = -334. f(n) = -nf(9) = -9In this form, you can prove the answers are: 28, -19, -33, and -9 respectively.
please help me please help me please help me please help me please help me please help me please
Answer:
q5 is 4
q6 is 72
Step-by-step explanation:
yan na po ..sana maktulong sau
if a binomial trial has a success of .3, how many successes would you expect out of 500 trails
Answer:
gfs
Step-by-step explanation:
find the surface area of the composite figure
Answer:
[tex]=280[/tex] [tex]in^2[/tex]
Step-by-step explanation:
----------------------------------------
Let's find the surface area of the pink rectangular prism first.
[tex]2*10=20+20=40[/tex]
[tex]4*10=40+40=80[/tex]
[tex]4*2=8+8=16[/tex]
[tex]40+80+16=136[/tex]
The surface area for the pink rectangular prism is [tex]136[/tex] [tex]in^2[/tex].
-------------------->>>>>
Now, let's find the surface area of the green rectangular prism.
[tex]4*7=28+28=56[/tex]
[tex]4*7=28+28=56[/tex]
[tex]4*4=16+16=32[/tex]
[tex]56+56+32=144[/tex]
The surface area for the green rectangular prism is 144 [tex]in^2[/tex].
-------------------->>>>>
Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.
[tex]136+144=[/tex]
[tex]=280[/tex] [tex]in^2[/tex]
----------------------------------------
Hope this is helpful.
9514 1404 393
Answer:
224 in²
Step-by-step explanation:
There are a couple of ways to go at this. Here, we choose to figure the areas of each of the prisms individually, then subtract the "hidden" area where they are joined together.
The area of a prism is ...
A = 2(LW +H(L+W))
Pink area:
A = 2(10·4 +2(10+4)) = 2(40 +28) = 136 . . . square inches
Green area:
A = 2(7·4 +4(7+4)) = 2(28 +44) = 144 . . . square inches
One 4 in × 7 in face of the green prism meets with a similar area of the pink prism, so the area hidden at that interface is 2(4·7) = 56 square inches. Then the total surface area of the composite figure is ...
SA = 136 in² +144 in² -56 in² = 224 in²
