Answer:
Option B
Step-by-step explanation:
(0,2)(6,8)(8,0)Slope
m=8-2/6m=6/6=1And
m=0-8/8-6m=-8/2m=-4These are acceleration
Y intercept is (0,2) as x coordinate is 0
This is initial velocity 2m/s
The runner stopped at 8s
Simplify (x^2)^3*5x/6x^2*15x^3
When we Simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3], the result obtained is (1/18)x^2
Data obtained from the question[(x^2)^3 × 5x] / [6x^2 × 15x^3]Simplification =?How to simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3][(x^2)^3 × 5x] / [6x^2 × 15x^3]
Recall
(M^a)^b = M^ab
Thus,
(x^2)^3 = x^6
[(x^2)^3 × 5x] / [6x^2 × 15x^3] = [x^6 × 5x] / [6x^2 × 15x^3]Recall
M^a × M^b = M^(a+b)
Thus,
x^6 × 5x = 5x^(6 + 1) = 5x^7
6x^2 × 15x^3] = (6×15)x^(2 + 3) = 90x^5
[x^6 × 5x] / [6x^2 × 15x^3] = 5x^7 / 90x^5Recall
M^a ÷ M^b = M^(a - b)
Thus,
5x^7 ÷ 90x^5 = (5÷90)x^(7 - 5) = (1/18)x^2
Therefore,
[(x^2)^3 × 5x] / [6x^2 × 15x^3] = (1/18)x^2Learn more about algebra:
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domain and range of the function f(x)=|x-5|+10
Answer:
Domain: (-infinity, infinity)
Range: [10, infinity)
Step-by-step explanation:
So the domain is easy to determine, because the only reason the domain would be restricted is in like logarithmic equations, radical equations, etc... So in this case the domain is all real number (-infinity, infinity) or all real numbers.
The range of this function is a bit different since it's an absolute function, so when the value inside the absolute values goes from -infinity to 0, it's actually decreasing, despite the value technically increasing. But there is a x-5 and that actually doesn't change the range, it simply shifts it to the right by 5 units, so the vertex is there, because that's when the value inside of it goes from being a negative to a positive number. the +10 does change the range, because normally an absolute value function has a vertex at (0, 0) and in this case it's slightly different since it has a vertex when x=5 since the x has 5 subtracted from it. But the +10 is moving that up. Since the lowest value of the absolute value will be 0, any negative number becomes positive. So the vertex is shifted up 10 units, thus the range is [10, infinity)
Write the expression as one
involving only sin x and cos x.
sin 2x + cos x
Answer:
sin 2x + cos x = 2 sin x cos x + cos x = (2 sin x + 1)cos x
Step-by-step explanation:
Given the expression: sin 2x + cos x,
then we can use the formula: sin 2x = 2 sin x cos x, which gives:
sin 2x + cos x = 2 sin x cos x + cos x = (2 sin x + 1)cos x
So there you have two expressions in terms of sin x and cos x, as requested. :D
I have no idea what to do
Answer:
[tex]x^{\frac{5}{3}} y^{\frac{1}{3} }[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{x^{5} y}[/tex] = [tex]x^{\frac{5}{3}} y^{\frac{1}{3} }[/tex]
Which benchmark fraction is
Please help I’m stuck
Hello,
Step-by-step explanation:
6/7 ≈ 0,857
we have 4/4 = 1 and 3/4 = 0,75
| 0,75 - 0,857| = 0,107
| 1 - 0,857 | = 0,143
→ Answer is 3/4
Answer:
the bench mark is 1/4 and the lower range is 3/4.
Step-by-step explanation:
Estimate the fraction 6/7 using 1/4 as our benchmark: Display the fraction bar for 6/7 The lower range is 3/4 and the upper range is 1
linear pairs of angles are always adjacent true or false
The statement that linear pairs of angles are always adjacent is true.
What are Linear Pairs?
The pair of angles formed when two lines intersect each other at a point, are called Linear Pairs, the angles formed are adjacent to each other and they share a common arm.
It is asked in the question that linear pairs of angles are always adjacent and the answer is yes, it is a true statement as they have a common arm and an uncommon arm, the sum of the angles is equal to 180 degrees.
Hence, the statement that linear pairs of angles are always adjacent is true.
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The probability all of the students in this class will be present and on time is 3/10. The probability all of the students are present is 2/5. What is the probability that everyone is on time given that everyone is present? Give your answer as a simplified fraction.
Answer:
3/4
Step-by-step explanation:
A: students present
B: students on time
P(all students present and on time) = P(A and B) = 3/10
P(all students present) = P(A) = 2/5
P(A and B) = P(A).P(B|A) where P(B|A) is the probability of everyone being on time given that everyone is present
So P(B|A) = P(A and B) /P(A) = 3/10 ÷ 2/5 = 3/10 * 5/2 = 15/20 which can be reduced to 3/4 by dividing numerator and denominator by 5
Need answer ASAP. Giving Brainliest.
The inequality that represents the given graph is: D. y ≥ 2/3x + 2.
How to Determine the Equation of a Linear Inequality Graph?Using two points on the line, (0, 2) and (-3, 0), find the slope (m).
Slope (m) = change in y / change in x
Slope (m) = (2 - 0)/(0 - (-3))
Slope (m) = 2/3
The y-intercept (b) is the y-value of the point where the line intercepts the y-axis = 2.
Substitute m = 2/3 and b = 2 into y ≥ mx + b:
y ≥ 2/3x + 2
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Which must be true in order for the relationship
ZYX WVU to be correct?
N
ZY || WV
ZZZY and ZW=ZV
ZY YX and WV = VU
ZZZW and ZX=ZU
According to the AA similarity theorem, the statement that must be true is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
What is the AA Similarity Theorem?The AA similarity theorem states that if two angles in one triangle is congruent to two corresponding angles in another triangle, then both triangles are similar.
For △ZYX ~ △WVU, any two pairs of corresponding angles must be congruent.
Therefore, the statement that must be true based on the AA similarity theorem is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
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What is the median of the data set 50,54,62,48,49,52
Answer:
51
Step-by-step explanation:
arrange in ascending order
48,49,50,52 54,62
number of terms=6
median=(3rd term+4th term)/2=(50+52)/2=102/2=51
Answer:
51
Step-by-step explanation:
Hope it helps
MATH: GRAPHS AND FUNCTIONS PROBLEM 2
Answer:
Step-by-step explanation:
2(3-x)-1.4(5-2x)=2x+5.3
Answer:
x=-5.25
Step-by-step explanation:
Original equation:
[tex]2(3-x)-1.4(5-2x)=2x+5.3[/tex]
Distribute:
[tex]6-2x-7+2.8x=2x+5.3[/tex]
Group like terms:
[tex](6-7)+(2.8x-2x)=2x+5.3[/tex]
Add like terms:
[tex]-1+0.8x=2x+5.3[/tex]
Add 1 to both sides
[tex]0.8x=2x+6.3[/tex]
Subtract 2x from both sides
[tex]-1.2x=6.3[/tex]
Divide both sides by -1.2
[tex]x=-5.25[/tex]
*insert prayer hands*
Step-by-step explanation:
ATTACHED IS THE SOLUTIONUlises lives 11 miles from school. Convert the distance to feet
Answer:
58080
Step-by-step explanation:
You just have to multiply it by 5280. So, 11*5280 is 58080. The answer is 58080.
Jolene invests her savings in two bank accounts, one paying 6 percent and the other paying 8 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 2920 dollars. How much did she invest at each rate? Amount invested at 6 percent interest is $ Jolene invests her savings in two bank accounts , one paying 6 percent and the other paying 8 percent simple interest per year . She puts twice as much in the lower - yielding account because it is less risky . Her annual interest is 2920 dollars . How much did she invest at each rate ? Amount invested at 6 percent interest is $
Answer:
$14,600 at 8%$29,200 at 6%Step-by-step explanation:
The total amount of interest earned is the sum of the amounts of interest earned by each of the accounts.
SetupLet x represent the amount invested at 8%. Then 2x is the amount invested at the lower rate of 6%. The interest earned by each investment is the product of the amount and the interest rate. The total earned is ...
0.08x +0.06(2x) = 2920
SolutionWe can simplify this equation, then divide by the x-coefficient.
0.20x = 2920 . . . . . . . . . . . simplify
x = 14600 . . . . . . . . . . divide by 0.2
2x = 29200 . . . . . . . . multiply by 2
Jolene invested $29,200 at 6%, and $14,600 at 8%.
Margaret makes bracelets and sells them to tourists. the function s(t) approximates how many bracelets margaret makes per hour. the function w(h) represents how hours per week margaret spends making bracelets. what are the units of measurement for the composite function s(w(h))?
The units for the composite function s(w(h)) is bracelets over a week when the function s(t) approximates how many bangles Margaret makes per hour and the function w(h) represents how many hours per week Margaret spends making the bracelets.
To define the unit of the composite function s(w(h)), we first need to find the units of the functions s(t) and w(h).
The function s(t) represents the number of bangles per hour, so its unit will be bangles over an hour.
The function w(h) represents the hours per week spent on making the bracelets, so its unit will be hours over a week.
Now, we can define the unit of the composite function s(w(h)).
To find the unit of the composite function we follow these steps:-
s(w(h)),
= s(hours over a week) {replacing the function w(h) by its units},
= (bangles over an hour(hours over a week)) {replacing the function s(t) with its units},
= bangles over a week {Simplifying}.
Thus, the units for the composite function s(w(h)) is bracelets over a week when the function s(t) approximates how many bangles Margaret makes per hour and the function w(h) represents how many hours per week Margaret spends making the bracelets.
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Choose the best selection for the
quadrilateral with vertices at the
following points:
(1,0), (1,4), (6,0), (6,4)
Hint: Start by graphing the points.
Distance Formula: d= √(x2-x1)² + (y2 − ₁)²
A. Rectangle
C. Rhombus
B. Square
D. Trapezoid
Answer: a rectangle
Step-by-step explanation:
If you graph the points out you will see that it is four points high and six points wide
Answer:
It is A.Rectangle. from the given points.
Step-by-step explanation:
the graph is given in the image.
I hope it to be helpful ^=^
What is the mean of the data set? Fifth Grade Jump Distance
2 |0
3 | 2 4 6
4 | 0 2 4 8
5 | 5
6 | 5
42
40
45
20
The mean of the data set is 42.
What is Mean?The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list.
Given:
20, 32, 34, 36, 40, 42, 44, 48, 55, 65
Mean = 20+32+ 34+ 36+ 40+ 42+ 44+ 48+ 55+ 65/10
Mean = 416 / 10
Mean = 41.6
Mean = 42
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Hell don’t understand homework If f(x)=
5x-1
Answer:
(a) -1
(b) 4
(c) 14
(d) 61
Step-by-step explanation:
A piecewise function is a function which has different definitions for different intervals of x.
Given:
[tex]f(x)=\begin{cases}5x-1 \quad \textsf{if }-5\leq x \leq 3\\x^3-3 \quad \textsf{if }\:\:\:\:\:\:3 < x \leq 4\end{cases}[/tex]
f(x) has 2 definitions:
Definition 1
[tex]5x-1[/tex] when x is more than or equal to -5 and less than or equal to 3. This is a linear function.
Definition 2
[tex]x^2-3[/tex] when x is more than 3 and less than or equal to 4. This is a cubic function.
Part (a)
We have to find f(0), so when x = 0.
x = 0 satisfies the condition -5 ≤ x ≤ 3 so the corresponding function is
[tex]f(x)=5x-1[/tex]
Substitute x = 0 in this definition:
[tex]\implies f(0)=5(0)-1=-1[/tex]
Part (b)
We have to find f(1), so when x = 1.
x = 1 satisfies the condition -5 ≤ x ≤ 3 so the corresponding function is
[tex]f(x)=5x-1[/tex]
Substitute x = 1 in this definition:
[tex]\implies f(0)=5(1)-1=4[/tex]
Part (c)
We have to find f(3), so when x = 3.
x = 3 satisfies the condition -5 ≤ x ≤ 3 so the corresponding function is
[tex]f(x)=5x-1[/tex]
Substitute x = 3 in this definition:
[tex]\implies f(0)=5(3)-1=14[/tex]
Part (d)
We have to find f(4), so when x = 4.
x = 4 satisfies the condition 3 < x ≤ 4 so the corresponding function is
[tex]f(x)=x^3-3[/tex]
Substitute x = 4 in this definition:
[tex]\implies f(4)=(4)^3-3=61[/tex]
Which line is perpedicular to a line that has a slope of 1/2?
3,5,12,55,648? vwhat is the next number
Hello,
Answer:
The next number is 35 585
Step-by-step explanation:
3 × 5 - 3 = 12
5 × 12 - 5 = 55
12 × 55 -12 = 648
55 × 648 - 12 = 35 585
The next number for the given series is 35,585.
What is number series?A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series. These series vary in nature, as do the questions that may arise from them.
Given that the series is 3,5,12,55,648. The next number will be calculated by decoding the series as below,
3 × 5 - 3 = 12
5 × 12 - 5 = 55
12 × 55 -12 = 648
55 × 648 - 12 = 35,585
Therefore, the value of the next number for the series is 35,585.
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Whats the correct answer answer asap for brainlist
Answer: C.) Earthquakes
A trader bought 150 articles for $270.00. If he made
profit of 27%, find the selling price for each article
Answer:
$2.29
Step-by-step explanation:
$270 + 27% = $270 + (270 * 0.27)
= $270 + 72.9
= $342.9
$342.9 was the total selling price, but there are 150 articles.
$342.9 / 150 = $2.286
= $2.29 (Currency is rounded to two decimal places)
On March 4, Micro Sales makes $13,500 in sales on bank credit cards which charge a 3% service charge and deposits the funds into Micro Sales' bank accounts at the end of the business day.
Required:
Journalize the sales and recognition of expense. Refer to the Chart of Accounts for exact wording of account titles. Round your answers to two decimal places.
Based on the sales made by Micro Sales on bank credit cards, the journal entries would be:
Date Account Title Debit Credit
March 4 Cash $13,095
Card Service expense $ 405
Sales Revenue $13,500
How is the transaction by Micro Sales recorded?The cash account will be debited with:
= 13,500 x (1 - 3%)
= $13,095
The Card service expense is:
= 13,500 x 3%
= $405
Sales revenue will be credited by the amount of sales which is $13,500.
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What are the domain and range of the function f of x is equal to the quantity x squared plus 5x plus 6 end quantity divided by the quantity x plus 2 end quantity?
A- D: {x ∊ ℝ | x ≠ 2}; R: {y ∊ ℝ | y ≠ −1}
B- D: {x ∊ ℝ | x ≠ − 3}; R: {y ∊ ℝ | y ≠ 0}
C- D: {x ∊ ℝ | x ≠ −2}; R: {y ∊ ℝ | y ≠ 1}
D- D: {x ∊ ℝ | x ≠ −2}; R: {y ∊ ℝ | y ≠ 0}
The domain and range of the function f of x are equal to : (C) D: {x ∊ ℝ | x ≠ −2}; R: {y ∊ ℝ | y ≠ 1}
Meaning domainA Domain can be defined as the values or numbers that are accepted or allowed in a particular function.
A domain is very important when dealing with a function.
In conclusion, The domain and range of the function f of x are equal to (C) D: {x ∊ ℝ | x ≠ −2}; R: {y ∊ ℝ | y ≠ 1}
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! PLS HELP ! There are a total of 30 white and black marbles in a box. There are 14 more white marbles than black marbles. How many black marbles are in the box?
Answer:
There are 8 black marbles.
Step-by-step explanation:
First, set up your equation. You have black (b) and white (w) marbles, total of 30, so those will be your variables to set in your equation.
w + b = 30
You mentioned that there are 14 more white marbles then black. Therefore, white marbles will have b many marbles + 14, creating the equation:
w= b + 14
If w = b + 14 and w can be easily substituted in the first equation, substitute w for b + 14. This will result in having the equation of:
(b +14) + b= 30
Simplify this equation, combine like terms to break down the equation, making it easier for you to solve for b.
-Subtract 14 from both sides.
-Add b + b = 2b
Then, you will have your resulting equation in which you divided 2 from both sides to get b by itself.
2b = 16
b=8
There are 8 black marbles.
These points are linear.
Find the slope.
x-3-2-1 0 1 2
y-8 0 8 16 24 32
slope = [?]
Enter
Answer:
slope = 8
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 8) and (x₂, y₂ ) = (2, 32) ← 2 ordered pairs from the table
note any pair of ordered pairs will give the slope
m = [tex]\frac{32-(-8)}{2-(-3)}[/tex] = [tex]\frac{32+8}{2+3}[/tex] = [tex]\frac{40}{5}[/tex] = 8
What does f(1) = 7 mean?
Answer:
if there's a graph for f(x):
if you're given a graph it means that at the x-coordinate x=1 the corresponding y-value is y=7. Another way to think of this is it's giving you the ordered pair. f(x-value) = y-value which gives you (x,y).
if there's an equation for f(x):
if you're given an equation, you're still looking to find the y-value but instead of looking on a graph, you're plugging 1 in for x in the equation which, after solving the equation, will equal 7.
basically, at x=1, the y-coordinate is 7
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Answer:
The value of x =2 and y= 2, because they are congruent and 2+2=4
Answer:
The value of x =2 and y= 2, because they are congruent and 2+2=4
Step-by-step explanation:
hope this helps :)
A can do a piece of work in 40 days. He works at it for 5 days and then B finishes it in 10 days.
In what time can A and B together finish it ?
Answer:Given
a can do a piece of work = 40 days
so, A's 1 day work =1/4
so, A's 8 day's work =8/40=1/5
remaining work = 1- 1/5= 4/5
Now, B can do 4/5 piece of work in =16 days
So, B’s 1 day's work = (4/5) /16= 4/ 5x6=1/20
Therefore, (A+B)’s 1 day's work = 1/40+1/20 =
1+2/40=3/40
∴ Both (A+B) can do a piece of work in =
1/days (3/40) = 40/3 days
= 13 1/3 days