Answers
Answer:
The equivalent expression is;
[tex]\frac{1}{x^{19}}[/tex]Explanation:
Given the expression;
[tex]\frac{(x^{-5})^4}{x^{-1}}[/tex]we want to simplify;
[tex]\begin{gathered} \frac{(x^{-5})^4}{x^{-1}} \\ =\frac{x^{-5}^{(4)}}{x^{-1}} \\ =\frac{x^{-20}}{x^{-1}} \end{gathered}[/tex]Applying the rules of exponent;
[tex]\begin{gathered} =\frac{x^{-20}}{x^{-1}} \\ =\frac{1}{x^{20}}\times\frac{1}{x^{-1}} \\ =\frac{1}{x^{20-1}} \\ =\frac{1}{x^{19}} \end{gathered}[/tex]Therefore, the equivalent expression is;
[tex]\frac{1}{x^{19}}[/tex]Related Questions
The line passing through the points (-2: 1) and (1: 4) has the same angular coefficient as the line passing through the points (1-2) and (3: p) Find the value of p
Answers
Answer:
Explanation:
The angular coefficient is also referred to as the slope of the line.
Given that the slope of the lining joining these pair of points are the same:
• (-2, 1) and (1, 4)
,• (1, -2) and (3, p)
Then:
[tex]\frac{4-1}{1-(-2)}=\frac{p-(-2)}{3-1}[/tex]We solve the equation for p:
[tex]undefined[/tex]suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 15 days and a standard deviation of 5 days. let x be the number of days for a randomly selected trial. round all answers to 4 decimal places where possible. a. what is the distribution of x? x ~ n( , ) b. if one of the trials is randomly chosen, find the probability that it lasted at least 12 days. c. if one of the trials is randomly chosen, find the probability that it lasted between 17 and 22 days. d. 72% of all of these types of trials are completed within how many days? (please enter a whole number)
Answers
a. the distribution of X ~ N(15,5)
b. the probability that it lasted at least 12 days = 0·72575
c. the probability that it lasted between 17 and 22 days = 0.30567
d. 72% of all of these types of trials are completed within 13 days
(a)
The x follow normal distribution with mean standard deviation
X ~ N(15,5)
(b)
probability at least 12 days.
P(X≥12) = 1 - P(X ≤12)
= 1 - P((X - μ)/б ≤ (12-15)/5 ]]
= 1 - P[Z < -0.6]
= 1 - 0·27425
= 0·72575
(c)
Probability at least between 16 & 21 days
P(16 < x < 21) = p( (16-15)/5 < (X - μ)/б - (21-15)/5]
= p (0.2 < Z < 1.2 )
= p[Z < 1.2] - P[Z < 0.2]
= 0.8849 - 0.5792
= 0.30567
(d)
standard normal table z is 0.65
p (Z < 0.65) = 0.74215
using Z score formula
X = Z x б + μ
X = 0.65 x 5 + 15
X = 13
Explain probability ?This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Before we can determine the probability that a certain event will occur, we must first know the total number of outcomes.
To learn more about probability, visit;
https://brainly.com/question/13932428
#SPJ4
52 points helppp composite functions give most simplified answer
Answers
Answer:
[tex](f \circ g)(24)=-36[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=-9x+9\\g(x)=\sqrt{x+1}\end{cases}[/tex]
Function Composition is applying one function to the results of another.
The composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x).
Therefore (f o g)(24) means to substitute the result of g(24) in place of the x in the function f(x).
Calculate g(24) by substituting x = 24 into function g(x):
[tex]\begin{aligned}\implies g(24)&=\sqrt{24+1}\\&=\sqrt{25}\\&=5 \end{aligned}[/tex]
Therefore:
[tex]\begin{aligned}\implies (f \circ g)(24) & = f[g(24)]\\& = f(5)\\& = -9(5)+9\\&=-45+9\\&=-36\end{aligned}[/tex]
Answer:
(f∘g)(24) = -36
Step-by-step explanation:
Pre-SolvingGivenWe are given f(x) = -9x + 9 and [tex]g(x)= \sqrt{x+1}[/tex].
We want to find (f∘g)(24).
This means that we first want to find g(24), then substitute the value of that into f(x).
SolvingStart by substituting 24 for x in g(x).
[tex]g(24)= \sqrt{24+1}[/tex]
Add 24 and 1 together.
[tex]g(24)= \sqrt{25}[/tex]
Take the square root of 25.
g(24) = 5
Now, substitute 5 as x in f(x) = -9x + 9.
f(5) = -9(5) + 9
Multiply.
f(5) = -45 + 9
Add the numbers together.
f(5) = -36
f(5) in this case has the same value as (f∘g)(24)
This means that (f∘g)(24) = -36
Determine whether the given pair of lines is parallel, perpendicular, or neither. 3x + 4y = 5 and 6x + 7y= 8 Choose the correct answer below. A. The lines are neither parallel nor perpendicular. B. The lines are perpendicular. C. The lines are parallel.
Answers
If two lines are parallel, then they have the same slope.
If two lines are perpendicular, then the slope of one line is the negative reciprocal of the other line.
The equation of a given line is expressed as
y = mx + b
Where
m represents slope
c represents y intercept
Considering the first equa
Factor 24cd − 36c^2d.
Answers
Answer:
12cd(2-3c)
Step-by-step explanation:
check:
12cd( 2 - 3c)
12cd(2) - 12cd(3c)
24cd - 36[tex]c^{2}[/tex]d
9. Determine where the graph represents a function explain your answer.
Answers
The vertical line test is a visual test to determine if a graph represents a function; since a function can only have one output for every input if a vertical line intersects a curve in more that one point the it is not the graph of a function.
In this case we any vertical line will only intersect one point then we conclude that:
The graph represents a function. Using the vertical line test, the graph intersects any vertical line at only one point.
Is it possible for polygon ABCDE to be dilated to figure VWXYZ? Explain yourreasoning.
Answers
In the given figures, ratio of all corresponding sides are
[tex]\frac{1}{2}[/tex]Except the ratio of AE and VZ
[tex]\begin{gathered} \frac{AE}{VZ}=\frac{10}{12} \\ =\frac{5}{6} \\ \ne\frac{1}{2} \end{gathered}[/tex]Hence, the polygon ABCDE can't be dilated to VWXYZ because ratio of corresponding sides are not equal.
So, the correct answer is (C)
i need help with questions a b c d e and f
its actualy geometry
Answers
Answer:
a: 120 = 2x + 40
80 = 2x
x = 40
b: (3x + 10) + (x-30) = 180
4x - 20 = 180
4x = 200
x = 50
c: 105 = 2x - 11
116 = 2x
58 = x
d: 8y + 36 = 14y - 24
-6y = -60
y = 10
64 = 48 + x
16 = x
y = 10, x = 16
e: 75 + (2x - 5) = 180
70 + 2x = 180
2x = 110
x = 55
2(55) - 5 =y
y = 105
f: (2x + 8) + (3x + 17) = 180
5x + 25 = 180
x = 31
3(31) + 17 = 5y + 15
110 = 5y + 15
95 = 5y
y = 19, x = 31
NOBODY IS ANSWERING!! I WILL GIVE BRAINLIEST!! PLS HELP!!
Answers
for f(x)=3/8x-7, find f(-16)
Answers
The given function is
[tex]f(x)=\frac{3}{8}x-7[/tex]The expression f(-16) means we have to evaluate the function when x = -16.
[tex]\begin{gathered} f(-16)=\frac{3}{8}(-16)-7 \\ f(-16)=-3\cdot2-7=-6-7=-13 \end{gathered}[/tex]Therefore, f(-16) is equal to -13.which of the following equation have roots 4 and -4
Answers
x² -16=0
1) Since we have two roots and any quadratic equation can be rewritten as once we have the roots:
[tex]a(x-x_1)(x-x_2)=0[/tex]So let's find one equation whose roots are 4 and -4, with coefficient a=1
(x-4)(x+4)=0
x² -16=0
2) So the equation x² -16= 0 has roots x_1=4 and x_2= -4 S={-4,4}
PLEASE HELP
50 POINTS
Answers
Answer:
9. [tex]256u^8 v^{16}[/tex]
10. [tex]-32x^{10} y^{35}[/tex]
11. [tex]-x^{12}y^{20}[/tex]
12. 1
13. [tex]\frac{2}{3xy^3}[/tex]
14. [tex]\frac{h^8}{3j^6k^6}[/tex]
15. [tex]\frac{1}{4z}[/tex]
Answer:
9. 256u^8 v^16
10. -32x^10 y^35
11. x^12 y^21
12. 1
Step-by-step explanation:
If you can, please give me a Brainliest; thank you! I put a lot fo times to solve it !
4. Round the number 5,997 to the nearest hundred.
Answers
Answer:
6,000
Step-by-step explanation:
What are the vertex and range of y = |x + 3| + 2?
a (−3, 2); 2 ≤ y < ∞
b (−3, 2); −∞ < y < ∞
c (0, 5); 2 ≤ y < ∞
d (0, 5); −∞ < y < ∞
Answers
The vertex of the equation is (-3, 2). And the range will be the set of all real numbers equal to or larger than 2, written as:
y ≥ 2.
What is the vertex and range of the absolute value function?
For an absolute value function of the form:
y = |x - a| + b
The vertex is a the point (a, b).
And the range (the set of the possible values of y that we can get with the function) will be the set of all real values equal or larger than b.
In this case, the absolute value function is:
y = |x + 3| + 2
Comparing it with the general one, we can see that the vertex is (-3, 2)
And then the range is y ≥ 2.
Learn more about absolute value equations:
https://brainly.com/question/1782403
#SPJ1
Consider x = 10-y.
a. Complete the table for the equation.
y
X
0
1
2
Answers
Answer: 0-10
1-9
2-8
Step-by-step explanation:
Which is the order from least to greatest of the following: 4/3, 0.8, 1/5, 30%?
Answers
Answer:
1/5, 30%, 0.8, 4/3
If a rectangle has a length of 6cm and a width of 4cm what is it's area
Answers
Answer:
area = l×b
= 6×4
. = 24 cm²
Step-by-step explanation:
this is the answer
Which expression is equivalent and show work if you can pls help thanks if u do
Answers
The expression is equal to 0.00333333333.
A = 0.00333333333
B = 0.00426666666
C = 0.03125
D = 33.3333333333
Therefore, the answer is A. Hope this helps! :)
A factory makes light fixtures with right regular hexagonal prisms where the edge of a hexagonal base measures 4 centimeters and the lengths of the prisms vary. It costs $0.04 per square centimeter to fabricate the prisms and the factory owner has set a limit of $11 per prism. What is the maximum length of each prism?
Answers
The maximum length of each prism is equal to 7.99 centimeter.
How to calculate the maximum length of each prism?First of all, we would determine the maximum surface area of this regular hexagonal prism by using this mathematical expression:
Maximum surface area (quantity) = Cost/unit price
Maximum surface area (quantity) = $11/$0.04
Maximum surface area (quantity) = 275 square centimeter (cm²).
Mathematically, the surface area of a regular hexagonal prism can be calculated by using this formula:
A = 6al + 3√3a²
Where:
A represents the surface area of a regular hexagonal prism.a represents the edge length (apothem) of a regular hexagonal prism.l represents the length of a regular hexagonal prism.Substituting the given parameters into the formula, we have;
275 = 6 × 4l + (3√3 × 4²)
275 = 24l + 48√3
24l = 275 - 48√3
24l = 191.8616
l = 191.8616/24
Length, l = 7.99 centimeter.
Read more on hexagonal prism here: https://brainly.com/question/27216897
#SPJ1
Richard and teo have a combine age of 38 Richard is 11 years okder than twice teo age how old are Richard and teo?
Answers
Answer: Richard is 29 and Teo is 9.
Step-by-step explanation: Use Substitution
Please help 50 points!!!
Given: △ABC≅△BAD.
Prove: △AED≅△BEC.
Say what each proof was for each statement.
Answers
The proof of △AED is congruent to △BEC
What is congruency?
Two figures or objects are congruent in geometry if they have the same shape and size, or if one has the same shape and size as its mirror counterpart. In more technical terms, two sets of points are said to be congruent if and only if one of them can be changed into the other by an isometry, which is a combination of rigid movements such as translation, rotation, and reflection. This implies that one item may be relocated and reflected (but not scaled) to perfectly align with the other. So two separate plane figures on a piece of paper are congruent if they can be cut out and then entirely matched up. It is OK to flip the paper over.
Given, △ABC is congruent to △BAD.
and △AEB is common in both, so
△AED is congruent to △BEC (proved)
To know more about congruency, click on the link
https://brainly.com/question/17239461
#SPJ13
Which statement about this function is correct?
A.The y-intercept is (71, 0), and the 71 represents the number of hours until the temperature reaches 71°F.
B.The y-intercept is (71, 0), and the 71 represents the number of hours until the temperature reaches 0°F.
C.The y-intercept is (0, 71), and the 71 represents the starting temperature.
D.The y-intercept is (0, 71), and the 71 represents the temperature after 1 hour
Answers
Answer:
C
Step-by-step explanation:
1 we need you to provide the function for people to better understand how to answer.
2 Option c was the only one that made sense.
pls mark brainliest
Please answer the following questions. What is the slope of the line? How much does the distance increase for each hour since Alan crossed the bridge?
Answers
SOLUTION
The slope of the line can be gotten using the formula
[tex]\begin{gathered} \text{Slope =}\frac{change\text{ in distance}}{\text{change in time }}\text{ = }\frac{d2-d1}{t2-t1} \\ \text{Taking two points on along the line we have } \\ \text{Slope = }\frac{350-100}{7-2} \\ \\ \text{Slope =}\frac{250}{50} \\ \\ \text{Slope = 50} \end{gathered}[/tex]The slope is 50. This means the distance increased by 50 miles for every hour.
Parallel lines investigation
Answers
From the given figure the value of x is 6 and the measure of angle 3 is 57°.
From the given figure, m∠4=(20x+3)° and m∠6=(9x+3)°.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
22). From the given figure
m∠4+m∠6=180° (Coointerior angles sum is equal to 180°)
(20x+3)°+(9x+3)°=180°
⇒ 29x+6=180
⇒ 29x=174
⇒ x=6
m∠4=(20x+3)°=123°
m∠3+m∠4=180° (Adjacent angles sum is equal to 180°)
m∠3+123=180
m∠3=57°
23). From the given figure
m∠3=m∠6 (Alternate interior angles are congruent)
x+10 = 4x-20
⇒ 3x=30
⇒ x=10
Now, m∠6=4x-20
=20
m∠6+m∠8=180° (Adjacent angles sum is equal to 180°)
20+m∠8=180°
⇒ m∠8=160
Therefore, from the given figure the value of x is 6 and the measure of angle 3 is 57°.
To learn more about the alternate interior angles visit:
https://brainly.com/question/28380652.
#SPJ1
Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculatorlog5 (15x + 20y)
Answers
The given expression is
[tex]\log _5(15x+20y)[/tex]Factor out the greatest common factor between 15x and 20y.
[tex]\log _5(5(3x+4y))[/tex]Then, use the product property to expand the logarithm.
[tex]\log _55+\log _5(3x+4y)[/tex]At last, simplify the first logarithm because its base is equal to its argument.
[tex]1+\log _5(3x+4y)[/tex]Therefore, the simplest form of the logarithm is
[tex]1+\log _5(3x+4y)[/tex]write in 1/3×1/4 lowest terms1/62/71/71/12
Answers
Round off each to the nearest thousand
1565
3408
5671
7364
9761
8975
Answers
Answer:
1. 1600
2. 3,000
3. 6,000
4. 7,000
5. 10,000
6. 9,000
Step-by-step explanation:
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
In this case, Rule A applies and 1565 rounded to the nearest hundred is:
1600
6. There were a total of 139 points scored in the basketballgame. The Falcons scored (9x+22) and the Mavericks scored(16x - 8). What was the Falcons score for the game?
Answers
The total score in the basket game = 139
Falcons score = 9x + 22
Maverick score = 16x - 8
Therefore,
139 = 9x + 22 + 16x - 8
collect like term
139 - 22 + 8 = 9x + 16x
125 = 25x
divide both sides by 25
x = 125/25
x = 5
Falcons score = 9x + 22
Falcons score = 9(5) + 22
Falcons score = 45 + 22
Falcons score = 67
what is 3 divided by 706
Answers
3/706 is 0.00424929178, but if you mean 706/3, then the answer is 235 and 1/3. Hope this helps! :)
Use play so value to solve. Derek measured an insect wing that was 0.1 meter long. Leslie measured a different wing that was 1/10 as long as that wing that Derek measured how long is the wing that Leslie measured
Please help I’m desperate thank you
Answers
Two or more expressions with an Equal sign is called as Equation. Derek measured 0.01 metres is the wing that Leslie measured.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that
Derrick measured wing length was 0.1 m
The wing that Leslie measured was (1/10) as long as the wing that derrick measured.
We need to measure how long is the wing that Leslie measured.
Multiply 0.1 by (1/10)
0.1×1/10
=0.01 metres.
Hence Derek measured 0.01 metres is the wing that Leslie measured.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1