2/(3x-5)
2/(3(9)-5)
1/11 :(
Absolute value of 2 is
Step-by-step explanation:
|2|=2
Hope this helps !!!!
Answer:
The absolute value is 2
Step-by-step explanation:
The absolute value is defined by how far a value is from zero and it is represented by a / /
/2/ = 2
write the product using an exponet
(5.6)(5.6)(5.6)
Answer: [tex](5.6)^3[/tex]
This is the same as saying (5.6)^3
===============================================
Explanation:
The base is 5.6 and it is multiplied a total of 3 times. We use an exponent of 3 to condense things down. So [tex]5.6 * 5.6 * 5.6 = (5.6)^3[/tex]
Another example: [tex]2^4 = 2*2*2*2 = \text{four copies of '2' multiplied}[/tex]
Hazel plans to mow her neighbors' yards to earn money. She charges a base fee of $25 and $7 for every hour she mows. The amount she earns per yard can be represented by the linear function M(t) = 7t + 25. What is the value of M(2), and what is its interpretation?
a. M(2) = 39; If Hazel mows 2 yards, she will earn $39.
b. M(2) = 14; If Hazel mows 2 yards, she will earn $14.
c. M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39.
d. M(2) = 14; If Hazel mows a yard for 2 hours, she will earn $14.
The correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39 . Option C
What is a function?A function can be defined as an expression that shows the relationship between an independent variable and a dependent variable.
Given the function;
M(t) = 7t + 25
Where;
M is the amount she earns per yardt is the time in hoursFor M(2), we substitute the value of t as 2 in the function
M(2) = 7(2) + 25
M(2) = 14 + 25
M(2) = $39
This explains that the she mows the yard for t = 2 hours, she would earn $39
Thus, the correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39. Option C
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Which of the following is equivalent to sum from n equals 1 to infinity of 12 times quantity negative five eighths end quantity to the power of n question mark
-60/13
60/13
−20
20
The sum to infinity of the sequence is 96/13
Sum to infinity of a geometric sequenceGiven the nth term of a geometric sequence expressed as:
Tn = Σ12(-5/8)^n
The sum to infinity of the sequence is expressed as;
S∞ = a/1-r
where
a is the first term = 12
r is the common ratio = -5/8
Substitute
S∞ = 12/1-(-5/8)
S∞ = 12/1+5/8
S∞ = 12/(13/8)
S∞ =12 *8/13
S∞ = 96/13
Hence the sum to infinity of the sequence is 96/13
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Solve for the unknown value using the equation for the constant of proportionality,
1) When k = 1.5 and x = 50, the value of y is; y = 75
2) When k = 14 and y = 334, the value of x is; x = 23.84
3) When k = 12 and x = 245, the value of y is; y = 2940
4) When k = 16 and y = 38, the value of x is; x = 2.375
We are given the equation for the constant of proportionality, as y/x = k
1) When k = 1.5 and x = 50, we want to find the value of y = ?
y/50 = 1.5
y = 50 * 1.5
y = 75
2) k = 14 and y = 334, x = ?. We want to find the value of x. Thus;
334/x = 14
x = 334/14
x = 23.84
3) k = 12 and x = 245, y = ?
y/245 = 12
y = 245 * 12
y = 2940
4) k = 16 and y = 38; x = ?
38/x = 16
x = 38/16
x = 2.375
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Complete question is;
Solve for the unknown value using the equation for the constant of proportionality, y/x = k .Known Values Unknown Value
k = 1.5 and x = 50
y = ?
k = 14 and y = 334, x = ?
k=12 and x=245, y = ?
k = 16 and y = 38; x = ?
What is (-1, 2) reflected across the y-axis?
If the coordinate is reflected over the y-axis, the resulting coordinates will be (1, 2).
Reflection of coordinatesImages that are reflected are mirror images of each other. For instance, given the coordinate points (x, y), if it is reflected across the y-axis, then the result of the expression is (-x, y).
Given the coordinate point (-1, 2), if the coordinate is reflected over the y-axis, the resulting coordinates will be (1, 2).
Note that the x-coordinate point is negated if the coordinate is reflected over the y-axis.
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refer to the image please!!
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
Value of g (x) is -2, when :
[tex]\qquad \sf \dashrightarrow \: - 2.5 < x \leqslant - 1.5[/tex]
And since -2 lies in this range of x,
[tex]\qquad \sf \dashrightarrow \:g( - 2) = - 2[/tex]
Value of x is -1, when :
[tex]\qquad \sf \dashrightarrow \: - 1.5 < x \leqslant - 0.5[/tex]
And -0.5 falls in this range, hence
[tex]\qquad \sf \dashrightarrow \:g( - 0.5 ) = - 1[/tex]
Next, The value of x is 0 when :
[tex]\qquad \sf \dashrightarrow \: - 0.5 < x < 0.5 [/tex]
But, it isnt equal to 0.5, since there is open interval at both extremes.
Next, Value of x is 1, when :
[tex]\qquad \sf \dashrightarrow \:0.5 \leqslant x < 1.5[/tex]
And since it also has the value 0.5 included in it,
[tex]\qquad \sf \dashrightarrow \:g(0.5) = 1[/tex]
Simply and show how you got the answer
[tex] \frac{3}{ \sqrt{5} - 2 } [/tex]
Rationalize the denominator by multiplying the numerator and denominator by the denominator. (Important: if the denominator has a minus sign, change to plus and vice versa)
[tex]⟹\frac{3 \times \sqrt{5 + 2} }{ (\sqrt{5} - 2 ) \times ( \sqrt{5} + 2) } [/tex]
[tex] ⟹ \frac{3 \sqrt{5} + 6 }{ \sqrt{25} + 2 \sqrt{5} - 2 \sqrt{5} - 4 } ⟹\frac{3 \sqrt{5} + 6 }{5 - 4} [/tex]
[tex] ⟹\frac{3 \sqrt{5} + 6}{1} ⟹3 \sqrt{5} + 6[/tex]
Problem 2.[tex] \frac{6 - \sqrt{12} }{ \sqrt{3} + \sqrt{10} } [/tex]
Rationalize the denominator.
[tex] ⟹\frac{(6 - \sqrt{12} ) \times ( \sqrt{3} - \sqrt{10} )}{ (\sqrt{3} + \sqrt{10} ) \times ( \sqrt{3} - \sqrt{10} } [/tex]
[tex]⟹\frac{6 \sqrt{3} - 6 \sqrt{10} - \sqrt{36} + \sqrt{120} }{ \sqrt{9} - \sqrt{30} + \sqrt{30} - \sqrt{100} } [/tex]
[tex]⟹ \frac{6 \sqrt{3} - 6 \sqrt{10} - \sqrt{36} + \sqrt{120} }{3 - 10} ⟹ \frac{6 \sqrt{3} - 6 \sqrt{10} - \sqrt{36} + \sqrt{120} }{ - 7} [/tex]
[tex] ⟹\frac{6 \sqrt{3} - 6 \sqrt{10} - 6 + \sqrt{12 \times 10} }{ - 7}⟹\frac{6 \sqrt{3} - 6 \sqrt{10} - 6 + 4 \sqrt{3 \times 10} }{ - 7} [/tex]
[tex] ⟹ - \frac{6 \sqrt{3} - 6 \sqrt{10} - 6 + 2 \sqrt{30} }{7} [/tex]
Therefore:
1. [tex]3 \sqrt{5} + 6[/tex]
2. [tex] - \frac{6 \sqrt{3} - 6 \sqrt{10} - 6 + 2 \sqrt{30} }{7} [/tex]
I hope these help-6 + (-2)? What does it meanrnjrhdbr
adding a negative is the same as subtracting a positive
the expression -6+ (-2) is the same as -6-2 which is -8
Find the population variance ad standard deviation
6,12,20,24,28
The population variance ad standard deviation are 64 and 8 respectively.
The variance for a population is calculated by the below steps :
1) First find the mean (the average).
2) Subtracting the mean from each number in the data set and then squaring the result. The results are squared to make the negatives value positive
3) Averaging the squared differences.
Here, the data set of population is given as :
population difference difference²
6 -12 144
12 -6 36
20 2 4
24 6 36
28 10 100
₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋
∑ 90 ∑ 320
Now, the average population will be :
∑ 90/5 = 18
Now finding the variance σ² using the formula :
σ² = ∑(x- x')²/N
σ² = 320/5
σ² = 64
Now, the standard deviation σ will be :
standard deviation = √σ²
standard deviation = √64
standard deviation = 8
Therefore, the population variance ad standard deviation are 64 and 8 respectively.
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Write the ratio of pencils to
erasers in simplest form.There are 10 pencils and 2 erasers
These questions are about calculus, I would greatly appreciate your help on both questions! ASAP PLEASE!
The slope of the line -1/6.
The value of m = -1.
what is slope?The slope of a line is a measure of its steepness. slope is calculated as "rise over run" (change in y divided by change in x).
given:
f(x) = √10-x
let f(x)=y
y = √10-x
Now,
dy/dx = -1/2(√10-x)
at x=1
dy/dx = -1/2(√10-1)
dy/dx = -1/2(3)
dy/dx = -1/6
equation of line is
y= mx + b
y= (-1/6)x + b
6y = -x + b
So, m= -1
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if a piece of ribbon is 4 3/4 feet long, how long is it in inches?
Coordinates: (-4, 4), (5, -1)
midpoint:
slope:
distance:
Answer:
Step-by-step explanation:
Compute the midpoint of the line segment with endpoints:
p_1 = (-4, 4) and p_2 = (5, -1)
The midpoint between (x_1, y_1) and (x_2, y_2) is their componentwise average:
((x_1 + x_2)/2, (y_1 + y_2)/2)
Substitute (x_1, y_1) = (-4, 4) and (x_2, y_2) = (5, -1):
= ((-4 + 5)/2, (4 - 1)/2)
-4 + 5 = 1:
= (1/2, (4 - 1)/2)
4 - 1 = 3:
Answer: = (1/2, 3/2)
2) If x = y – 9, and y – 4 = 10, x = ?
A. -5
B. +5
C. 1
D. A and B
Answer:
the answer is B
Step-by-step explanation:
x = y - 9
y - 4 = 10
x = ?
y = 10 + 4
° y = 14
x = y - 9
= 14 - 9
✔️ x = +5
ANSWERS
y-4=10
y=10+4
y=14
sub y equ 1
x=14-9
x=+5
Which point is part of the intersection of planes ACD and MHG?
A point that is part of the intersection of planes ACD and MHG is: Point B.
How to Find the Points of Intersection of Planes?A plane has at least three points that lie on it. When two planes intersect, they do so at some certain points. This means that two intersecting planes share some points in common alone the line of their intersection.
In the diagram given, plane ACD and plane MHG intersect along line BA. This means that both planes share points A and B in common.
Therefore, we can state that a point that is part of the intersection of planes ACD and MHG is: Point B.
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Which of the following is an example of the Commutative Property? 2x + 3x = 5x 5xy = 5(xy) 5z - 3x = -3x + 5z 3(a + b) = 3a + 3b
From the given examples 5z - 3x = -3x + 5z and 5(xy) = 5(xy) are following the commutative property.
According to the given question.
We have some equations
2x + 3x = 5x
5xy = 5(xy)
5z - 3x = -3x + 5z
3(a + b) = 3a + 3b
Here, we have to find which equation is following the commutative property.
As we know that, the commutative property is a math rule that says that the order in which we multiply numbers does not change the product.
For, example 4 + 5 gives 9, and 5 + 4 also gives 9.
From the given example the equation
5z - 3x = -3x + 5z is following the commutaive property of addition.
And, 5(xy) = 5(xy) is following the commutative property of multiplication.
Hence, from the given examples 5z - 3x = -3x + 5z and 5(xy) = 5(xy) are following the commutative property.
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- A certain forest covers an area of 30 square kilome-
ters. In 2018, the number of pine trees in this
particular forest was 75,000. In 2019, the number
of pine trees had decreased so that there was an
average of 2,000 pine trees per square kilometer in
the forest. What was the total percent decrease in
the number of pine trees in this forest from 2018 to
2019?
E. 20%
F.24%
G. 25%
H. 30%
Answer:
E
Step-by-step explanation:
2018 : 75 000 pines
2019 : 2000 pines / km^2 * 30 km^2 = 60 000 pines
(75 000 - 60 000) / 75 000 = .2 or 20 %
If m is one sixth of n and p is five less than m, write a p as a function of n
p = (n - 30)/ 6 as a function of n.
Here we need to find the value of p in terms of n.
From the question, we have two equation
The first equation is:
m = 1/6n .......(1)
The second equation is:
p = m - 5.......(2)
From equations 1 and 2 we have to find the value of p in term of n.
So by putting the value of m in the second equation we have:
p = 1/6n - 5
= (n - 30)/6
Therefore we get the value of p as (n -30)/6 in terms of n.
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Which statement correctly describes the expression (-18)(-3)?
Answer:
Both factors are negative,so that the product will be positive
Step-by-step explanation:
Hope it helps you
AB = x, BC = x + 4, AC = 40
A •--------------------•B--------------------• C
Help please
Step-by-step explanation:
A=Xb c
2+4=6
5+5=10
9+20=75
Answer:
ab=20 bc=16+4=20 ac=40
Which angles in the picture are NOT adjacent?
A. ∠2 and ∠3
B. ∠3 and ∠4
C. ∠1 and ∠2
D. ∠1 and ∠3
Answer:
D. ∠1 and ∠3
Hope this helps!
Answer:
1 and 3 or also known as D
Step-by-step explanation:
i took the test and got it right
Perform the following metric-metric conversion.
1.68 g/L_____ g/mL
Answer: 1680ml
Step-by-step explanation:
1000 mL are in 1 L, so with that logic
1=1000
.68=680
1000+680=1680
5. The average monthly salary among a firm's twelve employees is 3500 € There are two part-time workers in the firm who both earn 2500 €/month. If the salaries of these two part-time workers are excluded from the average, what will the new average salary be? a) 3700 € b) 4300 € c) 4000 € d) other
Answer:
Choice a) 3700 €
Step-by-step explanation:
Total salary among 12 workers = Avg Salary x 12 = 3500 x 12 = 42,000 €
Total salary of 2 part-timers = part-time avg x 2 = 2500 x 2 = 5000
Total salary without part-timers salary= 42,000 - 5000 = 37,000 €
If we exclude the 2 part-timers, there are 10 full-timers who earn 37,000 €
So new Average Salary = 37000/10 = 3,700 €
answer: Choice a) 3700 €
Use the distance formula to determine how far apart the given points are. Given: D(-12, 10) E(-1,5) Find: DE
Answer:
it d
Step-by-step explanation:
A nation can produce two products: tanks and autos. The table below is the nation's production possibilities schedule.
Production Possibilities
Product
Tanks
The total opportunity cost of three unit(s) of tanks is
A
0
1000
B
1
950
C
2
850
D
3
650
E
4
350
F
5
0
Using the it's formula, the total opportunity cost of three unit(s) of tanks is of 350 autos.
What is the opportunity cost formula?The opportunity cost formula is given by:
C = F - A.
In which:
F is the best return.A is the actual return.For this problem, we have that:
When no tanks are produced, 1000 autos can be produced, hence F = 1000.When 3 tanks are produced, 650 autos can be produced, hence F = 650.Thus:
F = 1000 - 650 = 350.
The total opportunity cost of three unit(s) of tanks is of 350 autos.
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An observation deck extends 456 feet out above a valley. The deck sits 406 feet above the valley floor. If an object is dropped from the observation deck, its height h in feet, after t seconds, is given by h=-161 +406. How long will it take for the object to be 6 feet above the valley floor?
We need to know the relation between height, time to solve this problem. The time taken by the object to be 6 feet above the valley floor is 25 seconds.
The distance an object falls is proportional to the time it took to fall because of gravitational force. Here we have been given an equation that shows us the relation between height of the object and the time taken to reach that height. We know that the initial height of the object is 406 feet, if we substitute the initial height in the equation we get time to be zero which shows us that this is the initial height. We need to find out the time taken by the object to be 6 feet above the valley floor.
h= -16t+406
6=-16t+406
-400=-16t
t=400/16=25 seconds
Therefore the time taken by the object to be at a height 6 feet above the valley floor is 25 seconds.
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Annie runs in the park every 3 days. Ron runs in the park every 5 days. They both ran on 1 January. How many more times will they run in the park on the same day up to the end of February?
Answer:
Step-by-step explanation:
annie runs in park = every 3 days
ron runs in park = every 5 days
lets find LCM of 3 and 5 = 3*5 = 15
if they ran on 1st of January then they will meet again on on 15th January , will again meet on 30th of January and will again meet on 14 February . if is was a leap year they would again meet at 29th February .
Given || m
m || n, find the value of x.
Answer:
x=142°
Step-by-step explanation:
hope it helps ⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄
Damon has 37 inches of space on his car bumper that he wants to use for bumper stickers. How many short bumper stickers can Damon fit side by side on his car bumper?
Answer: Does it specify how long his short bumper stickers are?
Step-by-step explanation: