Answer:
119
Step-by-step explanation:
I believe you meant the question to be " [tex]m^4[/tex] + 1 / [tex]m^4[/tex], if m - 1 / m = 3. "
I presume that we want to take this second equation at hand here, and " simplify " it further. After doing so this first expression will have a value with respect to the simplified value of the equation, and, plugging in it's value we can solve for the expression ( [tex]m^4[/tex] + 1 / [tex]m^4[/tex]. )
m - 1 / m = 3 - Take each value squared on either side of the equation,
[tex]( m - 1 / m )^2 = 3^2[/tex] - Simplify,
[tex]( m - 1 / m )^2 = 9[/tex]
If you don't know how to expand expressions such as the one in the third step, " [tex]( m - 1 / m )^2[/tex] " here is a quick recap. Remember that [tex]( a - b )^2 = a^2 - 2ab + b^2[/tex]. Therefore,
[tex]( m - 1 / m )^2 = m^2 - 2( m )( 1 / m ) + ( 1 / m )^2,\\( m - 1 / m )^2 = m^2 - 2 + 1 / m^2[/tex]
Now let's continue,
[tex]m^2 - 2 + 1 / m^2 = 9[/tex] - Add 2 on either side,
[tex]m^2 + 1 / m^2 = 11[/tex]
_______________
So now we have the " simplified equation " as you can say, for the equation. Let's " simplify " the expression now,
[tex]m^4+1/m^4 = 75+4(m^2+1/m^2)[/tex] - Substitute the value of 11,
[tex]m^4+1/m^4 = 75+4(11),\\m^4 + 1 / m^4 = 119[/tex]
Solution = 119
What is the equation, in point-slope form, of the line that
is perpendicular to the given line and passes through the
point (-4, -3)?
2
y + 3 = -4(x + 4)
y + 3= -1/4x + 4)
y + 3 = 1/4x + 4)
y + 3 = 4(x + 4)
Answer:
the answer is y+3=1/4x+4
What is the perimeter of this polygon?
(2,3)
(-4, 2)
(3,-2)
(-2, -3)
A. 25.5 units
B. 21.7 units
O C. 24.4 units
D. 22.8 units
Find the missing segment in the attached image
Answer:
The length of the missing segment is 24
Step-by-step explanation:
Given
The figure above
Required
Determine the missing segment
Let the missing segment be represented with x
Given that, there exist parallel lines between the two triangles;
The relationship between the sides of the triangles is as follows;
[tex]\frac{15}{x} = \frac{15+5}{8+x}[/tex]
[tex]\frac{15}{x} = \frac{20}{8+x}[/tex]
Cross Multiply
[tex]15 * (8 + x) = 20 * x[/tex]
Open bracket
[tex]15*8 + 15 * x = 20 * x[/tex]
[tex]120 + 15x = 20x[/tex]
Subtract 15x from both sides
[tex]120 + 15x -15x= 20x-15x[/tex]
[tex]120 = 20x-15x[/tex]
[tex]120 = 5x[/tex]
Divide both sides by 5
[tex]\frac{120}{5} = \frac{5x}{5}[/tex]
[tex]\frac{120}{5} = x[/tex]
[tex]24 = x[/tex]
[tex]x = 24[/tex]
Hence, the length of the missing segment is 24
rewrite the rational exponent as a radical by extending the properties of integer exponents
Answer:
Step-by-step explanation:he correct answer is:
the eighth root of 2 to the fifth power .
Explanation:
What we have is:
Using the rules of exponents, we know that when we divide powers with the same base, we subtract the exponents. The base of each exponent is 2, so we subtract:
7/8 - 1/4
We find a common denominator. The smallest thing that both 8 and 2 will evenly divide into is 8:
7/8 - 2/8 = 5/8
This gives us:
When rewriting rational exponents as radicals, the denominator is the root and the numerator is the power. This means that 8 is the root and 5 is the power, which gives us:
,
or in words, the eighth root of 2 to the fifth power.
the two rectangular similar
no the ratios of corresponding sides are not equal
yes the lengths of the corresponding sides form equal ratios
no. the figures are facing different directions
yes they are both rectangles
Answer:
no the ratios of corresponding sides are not equal
Step-by-step explanation:
For two rectangles to be considered similar, the ratio of the length of their corresponding sides must be of equal measure.
Let's find out if the 2 given rectangles are similar or not by finding the ratio of the length of their corresponding sides as follows:
3/3 = 1
4/6 = 2/3
Thus, 3/3 ≠ 4/6
The ratio of their corresponding sides are not equal. Therefore, the two rectangles bare not similar.
The answer is: "no the ratios of corresponding sides are not equal".
HELP!!!
Describe the shape of the data distribution
Please help i will mark brainliest!
Answer:
Cluster Sampling
Step-by-step explanation:
I cant be 100% sure as i am not in statistics, but by definition cluster sampling is a probability sampling technique where researchers divide the population into multiple groups (clusters) for research (in this case its the phone book). Researchers then select random groups (three random pages) with a simple random or systematic random sampling technique for data collection and data analysis(interviews).
so that appears to be what is happening in this scenario.
HELP!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?
Answer:
21h miles
Step-by-step explanation:
The appropriate relation is ...
distance = speed · time
__
We are given that ...
biking time = h
walking time = 2h
running time = (1/4)(2h) = h/2
The total distance traveled is ...
total distance = biking distance + walking distance + running distance
= (10)(h) +(3)(2h) +(10)(h/2)
= 10h + 6h + 5h
total distance = 21h . . . miles
Answer:
21h miles
Step-by-step explanation:
The appropriate relation is ...
distance = speed · time
__
We are given that ...
biking time = h
walking time = 2h
running time = (1/4)(2h) = h/2
The total distance traveled is ...
total distance = biking distance + walking distance + running distance
= (10)(h) +(3)(2h) +(10)(h/2)
= 10h + 6h + 5h
total distance = 21h . . . miles:
*PLEASE ANSWER PLS N TY * Which statement(s) are true about inscribed angles? Statement 1: The vertex of an inscribed angle lies on the circle. Statement 2: The sides of an inscribed angle are tangent lines to the circle. Statement 3: The sides of an inscribed angle are chords of a circle. Statement 4: The vertex of an inscribed angle lies outside a circle.
a.) 4 only
b.) 1 only
c.) 1 & 3 only
d.) 2 & 4 only
Answer:
c) 1 & 3 only
Step-by-step explanation:
In the picture attached, an example of an inscribed angle is shown.
In the example, the vertex is point B, which lies on the circle.
A chord of a circle is a straight line segment whose endpoints both lie on the circle, like segments BA and BC from the picture
If a sample consists of the following data values, what is the sample mean?
13, 91, 44, 68, 54, 16, 88, 74
Answer:
mean =sum of all data values
total number of data
13+91+44+68+54+16+88+74
8
448
8
=56
therefore the mean is 56
Answer: 51
Step-by-step explanation:
A nautical mile is the unit of length used in sea and air navigation. A
nautical mile is equal to 6,174 feet. What percent of a statute mile, (5,360
feet) is a nautical mile? (Round to the nearest hundredth.)
Answer:
86.82%
Step-by-step explanation:
A nautical mile = 6,174 feet.
Statute mile =5,360 feet
The percentage of a statute mile to a nautical mile is calculated as:
5360/6174 × 100
= 0.8681567865 × 100
= 86.81567865%
Approximately to the nearest hundredth = 86.82%
Therefore, the percent of a statute mile that is a nautical mile rounded to the nearest hundredth is 86.82%
1) Explain the Distributive Property in your own words.
2) Give an example that shows how to use the Distributive Property to rewrite a one-variable expression.
Answer:
The Distributive Property states that when a number in parentheses is next to a number, you distribute the number outside of the parentheses and multiply by each of the numbers in parentheses.
5(10+x)=5(10)+5(x)=50+5x
:)
In which quadrant does the point (25 , 21) lie? A. Quadrant I B. Quadrant IV C. Quadrant III D. Quadrant II
Answer:
A
Step-by-step explanation:
Both of the coordinates are positive. The quadrant that has points with positive x and y coordinates is Quadrant I.
Please hurry❗️❗️❗️!!!!!!
Which expression is equivalent to a+(C+7)?
О 7ac
O a-(C+7)
O (C+7)-a
0 (a+c) + 7
Answer:
The answer is (a+c) + 7
Since addition is associative a + ( C + 7) can also be written as (a+c) + 7
Hope this helps you
Answer:
(a+c)+7
Step-by-step explanation: This method is called associative property.
On addition changing the order brings no change to the answer. For example:- 2+3=3+2. but don't confuse this with multiplication. For example, if the question was a(c+7), then you are supposed to multiply c, + and 7 by a.
Hope it would help :)
A motor is 85.4 % efficient: that is, the output is 85.4 % of the input.
What is the input if the motor delivers 10.75 hp. ( Round your answer to 1
decimal place.)
Answer:
12.6 hp
Step-by-step explanation:
output of motor = 85.4% of input of motor.
Given that motor delivers 10.75 hp, it means output of motor is 10.75hp
Using both the given conditions
10.75 = 85.4% of input of motor
=> 10.75 = 85.4/100 * input of motor
=> input of motor = 10.75*100/85.4 = 1075/85.5 hp = 12.57 hp.
Input of motor rounded to 1 decimal place = 12.6 hp
The sum of two consecutive integers is 61. What are the integers?
Include a let statements and checks in your answer.
Answer:
30, and 31
Step-by-step explanation:
Let n=the smaller of the two integers
n+n+1=61
2n+1=61
2n=60
n=30
Answer:
30, and 31
Step-by-step explanation:
Let the "x" mean the smaller of the two integers
x+x+1=61
2x+1=61
2x=60
x=30
CHECK:
30+30+1=61
2(30)+1=61
60+1=61
61=61 ✓
HOPE THIS HELPS
What is the cost of an $8,000 car including 5½% tax?
Answer:
Car Price:
$8,000.00
Interest Paid:
$492.48
Sales Tax:
$448.00
Total Cost:
$8,940.48
A ramp is being built to an entrance of a school. The ramp will begin 4 feet from the entrance and have an incline of 6°. How long is the ramp? Question 18 options: A) 38.06 units B) 3.82 units C) 38.27 units D) 4.02 units
Answer:
D) 4.02 units
Step-by-step explanation:
This will be a right triangle, where b = 4 and angle A is 6 degrees
We want to find c
cos A = adjacent / hypotenuse
cos 6 = 4/c
c cos 6 =4
c = 4/ cos 6
c =4.022033118
Find a quadratic polynomial the sum and product of whose zeroes are -8 and 12 respectively. Hence find the zeroes.
Step-by-step explanation:
We khow the sum and the product of the zeroes of this quadratic polynomial
Here is a trick :
when we khow the sum S and the product P ofvtwo numbers we can find them by solving :
x²-Sx+p=0
here S= -8 and P=12
so:
x²+8x+12=0
Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12
Δ= 8²-4*12 =16
the zeros are:
(-8-4)/2= -6
(-8+4)/2 = -2
verify:
-6+(-2)= -8
-2*(-6)= 12
now the polynomial quadratic is:
(x+6)(x+2)
7 - x + (2 - 3x + 5y)
━━━━━━━☆☆━━━━━━━
▹ Answer
9 - 4x + 5y
▹ Step-by-Step Explanation
7 - x + (2 - 3x + 5y)
Remove the parentheses
7 - x + 2 - 3x + 5y
Collect like terms
9 - x - 3x + 5y
Final Answer
9 - 4x + 5y
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Will give brainiest (08.01) The graph shows two lines, A and B. Based on the graph, which statement is correct about the solution to the system of equations for lines A and B? (4, 4) is the solution to line A but not to line B. (4, 4) is the solution to both lines A and B. (5, 1) is the solution to line B but not to line A. (0, 2) is the solution to both lines A and B.
Answer:
Option B.
Step-by-step explanation:
If a point (a,b) lies on a line then it is the solution of that line.
From the given graph it is clear that point (4,4) is the intersection point of line A and B. It means (4,4) lies on both lines.
So, (4, 4) is the solution to both lines A and B. Hence, option B is correct.
Point (5,1) lies on line A. So, (5, 1) is the solution to line A but not to line B.
Point (0,2) lies on line B. So, (0, 2) is the solution to line B but not to line A.
Therefore, the correct option is B.
What does the perimeter of this figure consist of?
A.) one semicircle and one line segment
B.) one semicircle and two line segments
C.) one semicircle and three line segments
D.) two semicircles and two line segments
I hope you can help!
Answer:
B.) one semicircle and two line segments
Step-by-step explanation:
The curve would be part of the 'semicircle'. The two line segments would make up the outside of the triangle. The perimeter would have to go around the semicircle's curve and the outside of the triangle.
Option B should be the correct answer.
Which expression is equivalent to (x Superscript one-half Baseline y Superscript negative one-fourth Baseline z) Superscript negative 2? StartFraction x Superscript one-half baseline Over y z squared EndFraction StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction StartFraction y Superscript one-half Baseline Over x z squared EndFraction
Answer:
[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]
Step-by-step explanation:
Given
[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]
Required
Find the equivalent
To find the equivalent of the given expression; we have to apply laws of indices;
As a law;
[tex]a^{-m} = \frac{1}{a^m}[/tex]
So; the expression [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] becomes
[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}}*\frac{1}{z^2}[/tex]
This is further simplified to
[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}} * z^2}[/tex]
[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}z^2}[/tex]
Combine to form a single fraction
[tex]\frac{x^{\frac{1}{2}}*1}{y^{\frac{1}{4}}z^2}[/tex]
Multiply numerator
[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]
The expression can not be further simplified
Hence [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] is equivalent to [tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]
Answer:
c
Step-by-step explanation:
x has a exponent of -1 after multiplying 1/2 and -2, so x has to be in the denominator of the answer no matter what.
Hope this helped other than the guy above lol
Which is true regarding the graphed function f(x)?
O FO) = 3
O f/5) = -1
Of(3) = 2
Of(2)= -2
Answer:
The answer is option B
f( 5) = - 1
Hope this helps you
Regarding the graph function f(x), it is only F(5) = -1 that is true. Option B is the correct answer.
The slope (m) of the graph is
m = (4 - 0) / (0 - 4)
m = -1
From general linear equation: y = mx + c
The equation of the function is;
y = -x + 4
f(x) = -x + 4
Let us check all the options one by one.
If x = 0,
F(0) = 4 This is not true
If x = 5
F(5) = -5 + 4
F(5) = -1 This is true.
Therefore, regarding the graph function f(x), it is only F(5) = -1 that is true. Option B is the correct answer.
Learn more about Function here : https://brainly.com/question/17043948
Find the domain of the rational expression: x-4/2x-6
1. all real numbers except 3
2. all real numbers except 6
3. all real numbers except O
4. all real numbers except 4
Answer:
All real numbers except 3
Step-by-step explanation:
Given
[tex]\frac{x - 4}{2x - 6}[/tex]
Required
Determine the domain
We start by writing the following inequality
[tex]2x - 6 \neq 0[/tex]
Add 6 to both sides
[tex]2x -6 + 6 \neq = 0 + 6[/tex]
[tex]2x \neq 6[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}\neq \frac{6}{2}[/tex]
[tex]x \neq \frac{6}{2}[/tex]
[tex]x \neq = 3[/tex]
As such, the domain of x is all real numbers except 3
In how many different ways can 6 people be seated at a round table
What will the sign be on the solution to this problem: (-3)(-4)(5)(6)(-7)
+
-
Answer:
-
Step-by-step explanation:
becuase (-3)(-4) will give you a positive and when you mutipy it with the 5 and 6 you will still get postive but when you multiply with -7, you will get a negitive
Answer:
Negative
Step-by-step explanation:
[tex](-3)(-4)(5)(6)(-7)\\\\-3*-4*5*6*-7\\\\\boxed{-2520}[/tex]
The product has a negative sign.
Brainilest Appreciated.
Which student correctly solved their equation below?
a. Emery
b. Savannah
c. Both students
d. Neither student
Answer:Savannah
Step-by-step explanation:Just subsitute the variables for the nuber they said it is equal to and if it is true then it is correct
Answer: Savannanah subsitute the variables for the number they said it is equal to and if it is true then it is correct
Find the missing segment in the attached image
Answer:
The length of the missing segment is 44
Step-by-step explanation:
Given
The figure above
Required
Determine the missing segment
Let the missing segment be represented with x
Given that, there exist parallel lines between the two triangles;
The relationship between the sides of the triangles is as follows;
[tex]\frac{20}{x} = \frac{10+20}{22+x}[/tex]
[tex]\frac{20}{x} = \frac{30}{22+x}[/tex]
Cross Multiply
[tex]20 * (22 + x) = 30 * x[/tex]
Open bracket
[tex]20 * 22 + 20 * x = 30 * x[/tex]
[tex]440 + 20x = 30x[/tex]
Subtract 20x from both sides
[tex]440 + 20x - 20x= 30x- 20x[/tex]
[tex]440 = 30x- 20x[/tex]
[tex]440 = 10x[/tex]
Divide both sides by 10
[tex]\frac{440}{10} = \frac{10x}{10}[/tex]
[tex]\frac{440}{10} = x[/tex]
[tex]44 = x[/tex]
[tex]x = 44[/tex]
Hence, the length of the missing segment is 44
Reflection over the y-axis and a translation of shifting down 7 units.
Answer: (-x, y-7)
Step-by-step explanation:
A reflection across the y-axis changes the sign of the x-value.
(x, y) → (-x, y)
Shifting down 7 units subtracts 7 from the y-value.
(-x, y) → (-x, y-7)