Answer:
x = 1, 2, 3, 4
Step-by-step explanation:
15x - 43 < 5x + 2
15x - 5x - 43 < 2
15x - 5x < 2 + 43
10x < 45
x < 4.5
x = 1, 2, 3, 4
The required value of the x in the given inequality is x < 4.5.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given expression,
15x - 43 < 5x + 2
Adding 43 on both sides,
15x < 5x + 45
Subtract 5x from both sides,
10x < 45
Divide the inequality by 10
x < 4.5
Thus, the required value of the x in the given inequality is x < 4.5.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ2
What value of n makes the equation true?
Answer:
10
Step-by-step explanation:
When multiplying numbers of the same base the exponents are added
therefor
n + 10 = 20
n = 10
Answer:
10
Step-by-step explanation:
y^n × y^10 = y^20
y^(n+10) = y^20
n+10 = 20
n = 20-10
n = 10
What is the following difference?
2ab2/192an? -5 V81a4 b5
Answer:
C
Step-by-step explanation:
2ab * sqrt[3](192ab^2) - 5 * sqrt[3](81 a^4b^5) =
= 2ab * sqrt[3](4^3 * 3 * a * b^2) - 5 * sqrt[3](3^3 * 3 * a^3 * a * b^3 * b^2)
= 2ab * 4 sqrt[3](3 * a * b^2) - 5 * 3 * a * b * sqrt[3](3 * a * b^2)
= 8ab * sqrt[3](3 * a * b^2) - 15ab * sqrt[3](3 * a * b^2)
= -7ab * sqrt[3](3ab^2)
Answer: C
i have no idea please help
Answer: D
Step-by-step explanation:
I’m like 90% sure it’s D ♀️
Answer:
D
Step-by-step explanation:
Domain is how far the graph goes left to right.
The left arrow goes left into -infinity forever
The right arrow goes down and to the right forever, into infinity
Please Hurry!!!!
The sum of two numbers is 44. The smaller number is 14 less than the larger number. What are the numbers?
Larger Number:
Smaller Number:
Answer:
Smaller number = 15
Larger number = 29
Step-by-step explanation:
Let smaller number be S
Let larger number be L
Given :
Sum = 44. That is , S + L = 44
Smaller number is 14 less than larger number. That is , S = L - 14
Therefore the equations are :
S + L = 44 ------(1)
S = L - 14 ------(2)
Substitute (2) in ( 1 )
(L - 14 ) + L = 44
L - 14 + L = 44
2 L = 44 + 14
2 L = 58
L = 29
Substitute L in (1) : S = L - 14 = 29 - 14 = 15
Answer:
Larger Number: 29
Smaller Number: 15
Step-by-step explanation:
By assigning the letters "L" and "S", to the larger number and smaller number respectively, we can solve this using simultaneous equations:
L+S = 44
L-14 = S
By substituting S = L-14 into the first equation, we get:
L+L-14 = 44 (add 14 to both sides)
L+L = 58 ( divide by 2 as L+L becomes 2L)
L=29
When L= 29, S= 29-14 which is 15
The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers greater than or equal to
Answer:
Step-by-step explanation:
I will give u brainliest and 5 star and thanks if its correct
Answer:
is B and E. They both equal 81
Write the explicit formula for the sequence below and use it to find the 47th term:
-3, 5, 13, 21, . . .
Given:
The sequence is:
[tex]-3,5,13,21...[/tex]
To find:
The explicit formula for the given sequence then find the 47th term.
Solution:
We have,
[tex]-3,5,13,21...[/tex]
The difference between two consecutive terms are:
[tex]5-(-3)=8[/tex]
[tex]13-5=8[/tex]
[tex]21-13=8[/tex]
The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.
The explicit formula for an arithmetic sequence is:
[tex]a_n=a+(n-1)d[/tex]
Where, a is the first term and d is the common difference.
Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get
[tex]a_n=-3+(n-1)8[/tex]
[tex]a_n=-3+8n-8[/tex]
[tex]a_n=8n-11[/tex]
Putting [tex]n=47[/tex], we get
[tex]a_{47}=8(47)-11[/tex]
[tex]a_{47}=376-11[/tex]
[tex]a_{47}=365[/tex]
Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.
High school geometry
Answer:
It would be 12. Do you need me to explain or are you good?
Step-by-step explanation:
Answer:
6√2
Step-by-step explanation:
12
If m ABC = 122°, and mZABD = 71°,
then mZDBC = [ ? 1°
Enter
Answer:
[tex]122 - 71 = 51 \\ m < 51[/tex]
Answer:
DBC= 40˚
Step-by-step explanation:
Since we already know what ABC and ABD is we could use these information to get what DBC is.
Since ABD and DBC adds together to sum up to ABC we could use this info to create this equation:
ABD+DBC=ABC
Replace ABD and ABC with the number that it is equal to
71˚+DBC=112˚
Move 71˚ to the other side by subtracting
DBC=112˚-72˚
Which is 40˚
So the answer is 40˚
Hope this helped!
WILL
GIVE BRAINLIST
SOLVE
SIX TIMES A NUMBER ADDED TO 8 IS 32 find the number
Answer:
6*4+8=32
Step-by-step explanation:
32-8=24
24/6=4
so 6*4=24
24+8=32
6x+8=32
6x+8-8=32-8
6x=24
6x÷6=24÷6
X=4
Answer is 4
Might be a bit confusing but hope that helps :)
Steel chain costs $8.20 per metre. How much does it cost to buy 50mm of chain?
Answer:
[tex]\$0.41[/tex]
Step-by-step explanation:
Convert millimeters to meters:
[tex]50\:\mathrm{mm}=0.05\:\mathrm{m}[/tex]
At a price of $8.20 per meter, the total price would be [tex]$8.20\cdot 0.05=\boxed{\$0.41}[/tex]
The following table shows the salary of 7 people in an office last year.
Name Income
Andy £13500
Bevan £27500
Cheryl £13750
Deva £79000
Elliott £18750
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
Mean of worker's salary = £27,785.71 (Approx.)Mean of worker's salary[Excluding Deva's income] = £16,500 (Approx.)Step-by-step explanation:
Given:
Total number of worker = 7
Find;
1] Mean of worker's salary
2] Mean of worker's salary[Excluding Deva's income]
Computation:
Mean = Sum of all observation / Total number of observation
1] Mean of worker's salary = [13,500 + 27,500 + 13,750 + 79,000 + 18,750 + 27,500 + 15,000] / 7
Mean of worker's salary = [194,500] / 7
Mean of worker's salary = £27,785.71 (Approx.)
2] Mean of worker's salary[Excluding Deva's income] = [13,500 + 27,500 + 13,750 + 18,750 + 27,500 + 15,000] / 6
Mean of worker's salary[Excluding Deva's income] = [115,500]/7
Mean of worker's salary[Excluding Deva's income] = £16,500 (Approx.)
What is the sum of 4.2 × 10^5 and 5.3 × 10^5
Answer:
4.2 x 10^5 = 420,000
5.3 x 10^5 = 530.000
Step-by-step explanation:
Please help!
Does these set of numbers form a Pythagorean triple? Explain.
8,6,9
Answer:
no
Step-by-step explanation
3,6,9
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y = -x2 + 72x – 458
Answer:
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
Step-by-step explanation:
The amount of profit y made by the company from selling each widget at x price is modeled by the equation:
[tex]y=-x^2+72x-458[/tex]
Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:
[tex]\displaystyle x=-\frac{b}{2a}[/tex]
In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:
[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
LMNO is a parallelogram. If sides NM=2x+5, OL=x+10,and NO=7x-3. Find the value of X and then find the length of NM and NO
You want all of the answers or just one?
Answer:
Step-by-step explanation:
opposite sides of a parallelogram are equal . So,
NM = OL
2x + 5 = x + 10
2x - x = 10 - 5
x = 5
substitute the value of x
NM = 2x + 5
=2*5 + 5
=15
for NO also substitute 5 inplace of x
Suppose a city with a population of 700,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 25 years. The population in 25 years will be approximately...?
Answer:
approximately 1,925,000
Step-by-step explanation:
700,000 * 0.07 = 49,000 this would be the growing rate per year.
49,000 * 1,225,000 this would be the population grown in 25 years.
700,000 + 1,225,000 = 1,925000 this would be the total population that was in the city and the population that has grown in the 25 years.
Hope this helps
Use SOH CAH TOA to identify the Cosine C.
Explanation:
This is because cosine is the ratio of adjacent over hypotenuse
cos(angle) = adjacent/hypotenuse
In this case, 20 is the adjacent side to the reference angle C. The hypotenuse is the longest side 29.
Jorden has already saced 35$. He wants to have 80$. He earns $6 per hour doing yard work which function will help jorden gigure out how many more hours [h] he needs to work
Answer:
Number of hours= 7.5
Step-by-step explanation:
Giving the following information:
Amount saved= $35
Hourly rate= $6
Total objective= $80
To calculate the number of hours to be saved, we need to use the following formula:
Number of hours= difference needed / hourly rate
Number of hours= (80 - 35) / 6
Number of hours= 45/6
Number of hours= 7.5
Thank you ! Plz show your reasoning<3
x=
y=
Answer:
x= 2.67
y= 7
Step-by-step explanation:
I want you to know that I might be wrong.
I times 3 and 2.67 which gave me 8.
3 * 2.67 equals= 8.01
I added 8.01 to 7 which gave me 15.
Can someone please help me solve this
20 points to the person who can help me solve
Answer:
7/15
Step-by-step explanation:
P(appetizers with cheese) = number with cheese / total = 1/5
P(entrees with cheese) = number with cheese / total = 1/3
It is the P(a) + P(b) - P(a and b)
We cannot double count the cheese and cheese event)
P( cheese and cheese) = 1/3 * 1/5 = 1/15
1/5 + 1/3 - 1/15
3/15 + 5/15 -1/15
8/15 - 1/15
7/15
12. The local regional transit authority of a large city was interested in determining the mean
commuting time for workers who drive to work. They selected a random sample of 125
workers who drive to work and asked them how long they spent commuting to work in
minutes). A 95% confidence interval was constructed and reported as (27.74, 30.06).
(a) Show that the conditions for calculating a confidence interval for a mean are satisfied.
(b) Interpret the interval in the context of this problem.
1. We conclude that the conditions for calculating a confidence interval for a mean are satisfied.
2. Since interval was constructed and is reported, we assume that distribution of the sample mean is normal.
Do the conditions for a mean confidence interval calculation hold?Let x be the sample mean
Let s be the sample standard deviation
Let n be the sample size
Let α be the significance level
Let Z be the standard normal distribution value.
To determine if conditions for calculating confidence interval for a mean are met, we have to check the followings:
1. Random sampling:
The sample of 125 workers was selected randomly.
2. Independence:
We assume that each worker's commuting time is independent of each other.
3. Sample size:
n = 125 > 30. This satisfies the condition for the central limit theorem to apply.
4. Normality:
The 95% confidence interval was constructed using the formula x ± Zα/2(s/√n).
Since interval was constructed and is reported, we can assume that the distribution of the sample mean is approximately normal. Therefore, we can conclude that the conditions for calculating a confidence interval for a mean are satisfied.
Read more about confidence interval
brainly.com/question/15712887
#SPJ1
Find each product
1. (3x)(x^2y^3)
2. (5a^3b)(2ab)
1.[tex](3x)( {x}^{2} {y}^{3} )[/tex]
= [tex]3 {x}^{3} {y}^{3} [/tex]
2.[tex](5 {a}^{3} b)(2ab)[/tex]
=[tex]10 {a}^{4} {b}^{2} [/tex]
What is the 8th term in the geometric sequence described by this explicit
formula?
an=6x3(n-1)
Answer:
13122
Step-by-step explanation:
an = 6 x 3^(n - 1)
n = 8
a8 = 6 x 3^(8 - 1) = 6 x 3^7 = 6 x 2187 = 13122
The above person is Correct, they deserve more Rating
--to brainly staff* If you delete this answer, something is wrong with this world, im trying to help the people who are unsure about the above answer having a low rating, to tell them that it is the correct answer. Thank you
Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6 A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.
Question 2: *
What is an equation of a line that is perpendicular to the line whose
equation is 2y + 3x = 1?
Answer:
[tex]y = \frac{2}{3} x[/tex]
Step-by-step explanation:
Hope it is helpful...
What is the slope of the line that contains these
points?
х 5 6 7 8
y -3 -1 1 3
The number of students using a cell phone application doubles every seven days. The initial number of users is 100. Write an equation for f(t) which represents the number of students who are using the application after t days
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Initial number of users
[tex]N_0=100[/tex] [tex]\text{growth rate=doubles every seven days}[/tex]
[tex]100\% \longrightarrow 7\ days\\\\\frac{100}{100} \longrightarrow 7\ days\\\\1 \longrightarrow 7\ days\\\\[/tex]
When:
[tex]N=N_0\ 2^{rt}\\\\[/tex]
[tex]=100\times 2^{rt}\\\\=100\times 2^{t\cdot \frac{1}{7}}\\\\=100\times 2^{ \frac{t}{7}}\\\\[/tex]
Checking the value:
After 14 days:
[tex]N=100\times 2^{ \frac{14}{7}}=400\\\\100 \overset{100\ days}{\rightarrow} 200 \overset{7 \ days}{\rightarrow}\ 400[/tex]
PLEASE HELP: Evaluate tan^2θ for θ = 60°
1/3
3/4
1
3
Answer:
3
Step-by-step explanation:
tan 60 = root(3)
tan² 60 = {root (3)}²
tan² 60 = 3
15 feet tree cast a shadow that is 15 feet long. What is the distance from the top of the tree to the tip of its shadow?
Answer: Hi. The height of the tree is 27 ft
Step-by-step explanation:
Answer link- https://socratic.org/answers/601885