The product of 4 and – 7, added to – 12 .
What is development necessary?
Answer:
Development is necessary because without development a country cannot be developed and people cannot get enough raw materials.More people will suffer from poverty, health facilities and drinking water.
What is 4N? I am very confused
Answer:
Step-by-step explanation:
3 lets We State
2 in
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8 in
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10 in
empty box
Consider the expression Va2 +12 + b When a = -2 and b = 14. What is the value of the expression?
Answer:
the value of the expression is 22
Step-by-step explanation:
a2 + 12 + b
- input numbers..
(-2)2 + 12 + 14
-4 + 12 + 14
8 + 14
22
final answer 22
Answer:
18 (see picture for detailed explanation)
Step-by-step explanation:
Plato/Edmentum
two way frequency table question!! giving points!!
could you send the full picture?
Type the correct answer in each box. Round your answers to two decimal places. Find the average rate of change of f(x) = log2(3x − 6) on [3, 4], [4, 5], and [5, 6].
Answer:
\([3,4]\) : \(r = 1\), \([4,5]\) : \(r = 0.59\), \([5,6]\) : \(r = 0.42\)
Step-by-step explanation:
Given a function \(f(x)\) that is continuous on \([a,b]\), the average rate of change is:
\(r = \frac{f(b)-f(a)}{b-a}\)
\(a\), \(b\) - Lower and upper bounds, dimensionless.
\(f(a)\), \(f(b)\) - Images of the function evaluated at lower and upper bounds, dimensionless.
Let be \(f(x) = \log_{2}(3\cdot x - 6)\), then:
\([3,4]\)
\(a = 3\) and \(b = 4\)
\(f(3) = \log_{2}[3\cdot (3) - 6]\)
\(f(3) \approx 1.585\)
\(f(4) = \log_{2}[3\cdot (4) - 6]\)
\(f(4) \approx 2.585\)
\(r = \frac{2.585-1.585}{4-3}\)
\(r = 1\)
\([4,5]\)
\(a = 4\) and \(b = 5\)
\(f(4) = \log_{2}[3\cdot (4) - 6]\)
\(f(4) \approx 2.585\)
\(f(5) = \log_{2}[3\cdot (5) - 6]\)
\(f(5) \approx 3.170\)
\(r = \frac{3.170-2.585}{5-4}\)
\(r = 0.59\)
\([5,6]\)
\(a = 5\) and \(b = 6\)
\(f(5) = \log_{2}[3\cdot (5) - 6]\)
\(f(5) \approx 3.170\)
\(f(6) = \log_{2}[3\cdot (6) - 6]\)
\(f(6) \approx 3.585\)
\(r = \frac{3.585-3.170}{6-5}\)
\(r = 0.42\)
Answer:
Please mark me as brainliest :)
Step-by-step explanation:
Bonnie has 3 rolls of wallpaper border. Each roll has 10 4/5 feet she will need 40 1/3 of border. how much more border does she need?
If
to DEF?
A 23
B. 16°
C. 32°
D. 58°
The calculated measure of the angle D is (c) 32 degrees
How to determine the measure of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangles ABC and DEF
The triangles are similar triangles
This means that the corresponding angles are equal
Given that
A = 32 degrees
And the corresponding angle is D
We have
D = 32 degrees
Hence, the measure of the angle is (c) 32 degrees
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The points (7, 3) and (7, 5) are both in the solution region of the inequality x – 2y < 3. Compute x – 2y for both of these points.Which point comes closest to satisfying the equation x – 2y = 3? That is, for which (x, y) pair is x – 2y closest to 3?
Part a.
In this case, we need to substitute the given point values into the expression x-2y. Then for point (7,3), we have
\(\begin{gathered} 7-2(3) \\ \text{which gives} \\ 7-6=1 \end{gathered}\)Now, for point (7,5) we have
\(\begin{gathered} 7-2(5) \\ \text{which gives} \\ 7-10=-3 \end{gathered}\)Part b.
As we can note, in the first case we got 1 which is 2 units from 3. In the second case, we got -3, which is 6 units from 3. Therefore, point (7,3) gives the closest value to 3
Please help will mark Brainly
The first equation in the second system is a multiple of second equation
is the first equation and the second equation in the second system is a multiple of both equation in the first system
What is simultaneous equations? Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. Each of these equations on their own could have infinite possible solutions.In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are soughtSimultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution. Some of the examples of simultaneous equations are: 2x - 4y = 4, 5x + 8y = 3On occasions you will come across two or more unknown quantities, and two or more equations relating them. These are called simultaneous equations and when asked to solve them you must find values of the unknowns which satisfy all the given equations at the same time.To learn more about simultaneous equations refers to:
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The volume of a tree stump can be modeled by considering it as a right cylinder. Lauren measures it’s height as 0.7ft and it’s radius as 20in find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary
The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Given:
Radius (r) = 20 inches
Height (h) = 0.7 feet
First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:
Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches
Now, we can substitute the values into the volume formula:
Volume = π * (20 inches)^2 * 8.4 inches
Calculating the volume:
Volume = 3.14159 * (20 inches)^2 * 8.4 inches
≈ 3.14159 * 400 inches^2 * 8.4 inches
≈ 1005.3096 cubic inches
Rounding the volume to the nearest tenth:
Volume ≈ 1005.3 cubic inches
Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
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Determine the missing value,x, of the rectangle pyramid below , if the volume is 280 cm.
Answer: x = 84cm
Volume of a rectangular prism = L x w x h / 3
Where L = length
W = width
H = height
Volume = 280 cubic centimeters
Height = 14cm
Length = 6 cm
Width = xcm
280 = 14 * 6 * x / 3
280 = 84 * x / 3
280 = 84x / 3
cross multiply
280 x 3 = 84x
840 = 84x
Divide both sides by 84
840/84 = 84x
x = 840/84
x = 10 cm
The value of x is 84cm
find the 7th term in the sequence an= 1/2(3)^n-1
NEED IT SOONNNNNN
This should be the correct answer
Exact Form:
729/2
Decimal Form:
364.5
Mixed Number Form:
364 1/2
I need to figure out the area of the remaining part
Answer:
The answer is 28
Step-by-step explanation:
Please mark brainliest
A clothing store is selling shirts and ties at 35% off.
Shirts are $18 and ties are $10.
If S represents shirts and T represents ties, which expression below could represent the cost of buying shirts and ties after the 35% discount?
HINT: Think about how you can find the total price of the shirts and ties. Think about the discount. If you are getting a 35% discount, what percent of the full price then are you paying?
Answer:
If $18 = 100%
Price of S= 65%
Price of shirt=65 ÷ 100 ×$18
=$11.7
If $10 = 100%
Price of T = 65%
Price of ties =65 ÷100 × $10
=$6.5
Iris has 120 songs on her playlist. Each week, she downloads 4 new songs. How do I write an expression to show the total number of songs on Iris's playlist after w weeks
The expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that Iris has 120 songs on her playlist. Each week, she downloads 4 new songs.
We can write the expression to show the total number of songs on Iris's playlist after {w} weeks as -
y = 120 + 4w
Therefore, the expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.
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his portion of the dist Question: a. Explain why the number n is an irrational number. b. Will you ever be able to get the EXACT area of a circle? Why or why not? c. Is -4 a rational or irrational number? Explain why or why not. d. Name another irrational number besides Type your answer below: Edit - View Format Table - Formats В І = = * =:= E & Z I NEED HELP ASAP WILL REWARF MAX POINTS
a single line divides a plane into two regions. two lines (by crossing) can divide a plane into four regions; three lines can divide it into seven regions. let pn be the maximum number of regions into which n lines divide a plane, where n is a positive integer recurrence formula
The P(n) represents the maximum no of regions into which n lines divide the plain then P(k) = P(k-1) + k. (b). The formula for P(n) is \(1+{ }^{n+1} c_2\end{aligned}$\). (c). The 5152 regions can divide the plane for 100 lines.
When no. lines are drawn, we get one plain region.
Let the number of regions when divided by lines be represented by
P(0), P(1), P(2), P(3), P(n)
Therefore P(0) = 1
P(1) = 2
P(1) = P(0) + 1
P(2) = P(1) + 2
P(3) = P(2) + 3
P(4) = P(3) + 4………………….
P(n) = P(n-1) + n
Therefore, if P(n) represents the maximum no. of regions into which n lines divide the plain
Then P(k) = P(k-1) + k
(b).
⇒ P(0) = 1
⇒P(n) = P(n-1) + n
= P(n-2) + (n-1)+n
= P(n-3) + (n-2) +(n-1)+n……..
= P(0) + 1 + 2+ 4=3 + 4 + 5 +……+n
= P(0) + (Sum of the first n natural numbers)
\($$\begin{aligned}& =P(0)+\frac{n(n+1)}{2} \\& =1+{ }^{n+1} c_2\end{aligned}$$\)
Therefore, the formula for P(n) is \(1+{ }^{n+1} c_2\end{aligned}$\).
(c)
Compute the value for n=100
\($$1+{ }^{n+1} c_2=1+{ }^{101} c_2=1+\frac{101 \times 102}{2}=5152$$\)
Therefore, the 5152 regions can divide the plane for 100 lines.
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A single line divides the plane into two regions. Two lines (by crossing) can divide the plane into four regions; three lines can divide it into seven regions, etc. Let P(n) be the maximum number of regions into which n lines divide a plane, where n is a positive integer.
(a) Derive a recurrence relation for P(k) in terms of P(k-1) for all integers \($k \geq 2$\).
(b) Use iteration to find an explicit (closed) formula for P(n).
(c) Into how many regions can 100 lines divide the plane?
2(2x - 4) = 3(x + 4)
Answer:
24
Step-by-step explanation:
i dont know if its correct
What did the student do incorrectly in this problem? Thanks for the help!
Solution
We have the function
\(f(x)=\frac{(5x-2)(x-1)}{(x-1)(x+2)}\)The graph of the function is
How many planes exist that pass through points A, B,
and C?
0
1
2
3
Answer:
the answer is 1
Step-by-step explanation:
If these points lie on the same line or coincides. then there are dozens of planes, passing through these points. If these point don't lie on the same line, then there is unique plane, which passes through these points.
Answer:
The Answer Is B or 1
Step-by-step explanation:
ed2022
Need help with question
Answer:
f(2) = 1
x = 0
Step-by-step explanation:
f(2) = 1 since y=1 when x=2.
f(0) = -3 since x=0 when y=-3
The storage capability of computers has been doubling every 5 years since the first computers were invented in the 1960s. If the first computer could store .5 megabytes, about how many megabytes can today's computers store? How long did it take for computers to store 100 megabytes?
It takes time of near about 35 year.
Given that,
Storage capability of computers has been doubling every 5 years
The date of 1st computer made = 1980
computer could store 5 megabytes,
Now,
We can use the following calculation to determine how long it took computers to store 100 megabytes:
Therefore,
Log₂ (final amount / beginning amount)
= Log₂ (100 / 0.5)
= log₂ (200)
= 7.64 is the number of doublings.
If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.
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Swornima is an unmarried nurse in a
hospital. Her monthly basic salary is Rs
48,000. She has to pay 1% social
security tax on her income up to Rs
5,00,000 and 10% income tax on Rs
5,00,001 to Rs 7,00.000. She gets 1
months' salary as the Dashain
allowance. She deposits 10% of her
basic salary in Citizen Investment Trust
(CIT) and gets 10% rebate on her
income tax. Answer the following
questions. (i) What is her annual
income? How much tax is rebated to
her? (iii) How much annual income tax
should she pay?
To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:
Monthly basic salary: Rs 48,000
Social security tax rate: 1%
Income tax rate on income up to Rs 5,00,000: 0% (no tax)
Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%
Dashain allowance: 1 month's salary
Deposit in Citizen Investment Trust (CIT): 10%
Rebate on income tax: 10%
(i) Annual Income:
Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:
Annual Basic Salary = Monthly Basic Salary x 12
= Rs 48,000 x 12
= Rs 5,76,000
Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:
Annual Income = Annual Basic Salary + Dashain Allowance
= Rs 5,76,000 + Rs 48,000
= Rs 6,24,000
Swornima's annual income is Rs 6,24,000.
(ii) Tax Rebate:
Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.
(iii) Annual Income Tax:
First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.
Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000
= Rs 1,24,000
Income Tax in this range = Taxable Income x Tax Rate
= Rs 1,24,000 x 0.1
= Rs 12,400
Now, let's calculate the total annual income tax:
Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000
= Rs 12,400
Next, we calculate the rebate on income tax:
Tax Rebate = Total Annual Income Tax x Rebate Rate
= Rs 12,400 x 0.1
= Rs 1,240
Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.
To summarize:
(i) Swornima's annual income is Rs 6,24,000.
(ii) Swornima's tax rebate is Rs 1,240.
(iii) Swornima should pay an annual income tax of R
-28 = -7(3x +4) + 21x
I think its 1
Step-by-step explanation:
if it ain't my bad
In a normal distribution, a data value located 1.5 standard deviations below the mean has Standard Score:
z = ____________
In a normal distribution, a data value located 1.9 standard deviations above the mean has Standard Score:
z = ____________
In a normal distribution, the mean has Standard Score:
z = ____________
Using the normal distribution, it is found that the z-scores are:
a) z = -1.5
b) z = 1.9
c) z = 0
In normal distribution with mean 'μ' and the standard deviation 'σ', the z-score of a measure X is given by:
z = x-μ/σ
It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).
For first blank: 1.5 standard deviations below the mean, hence z = -1.5.
For second blank: 1.9 standard deviations below the mean, hence z = 1.9.
For third blank: The mean is 0 standard deviations from itself, hence z = 0.
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In ΔTUV, u = 3.4 inches, m∠U=144° and m∠V=35°. Find the length of v, to the nearest 10th of an inch.
The length of v to the nearest 10th of an inch is 2.0 inches.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
We can use the Law of Sines,
Which states that for any triangle ABC:
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the lengths of the sides of the triangle opposite the angles A, B, and C.
Now,
a = UV = u = 3.4 inches
A = ∠TUV
= 180° - m∠U - m∠V
= 180° - 144° - 35°
= 1°
B = ∠UTV
= m∠U
= 144°
C = ∠TVU
= m∠V
= 35°
Using the Law of Sines,
v/sin(C) = u/sin(B)
Substituting in the values.
v/sin(35°) = 3.4/sin(144°)
Solving for v.
v = (3.4 × sin(35°)) / sin(144°)
v = 1.97 inches
Therefore,
The length of v to the nearest 10th of an inch is 2.0 inches.
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Have many solutions does -4x + 6 + 3x = 12
Answer:
A) One solution
B) No solution
C) Infinite number of solutions
D) One solution
E) Infinite number of solutions
Step-by-step explanation:
There are 5 equations to solve:
A) - 4 x + 6 + 3 x = -12
combining like terms and solving for x gives:
- x + 6 = - 12
- x = -18
x = 18
which is a unique (ONE) solution
B) 5 (2 x - 2) = 10 x + 10
distributive property gives us: 10 x - 10 = 10 x + 10
then subtract 10 x from both sides and we get: -10 = 10 which is an absurd, therefore this equation has NO SOLUTION.
C) 6 x + 2 x - 8 = 8 (x - 1)
Combining like terms and using distributive property, we get:
8 x - 8 = 8 x - 8
which is an identity, So this is true for all possible x values, then the are INFINITE NUMBER OF SOLUTIONS
D) 2 x + 50 = 90
solving for x gives:
2 x = 40
x = 40/2
x = 20
which is a unique (ONE) solution.
E) 2 (x - 4) = 2 x + 10 - 18
Using distributive property and combining like terms we get:
2 x - 8 = 2 x -8
This is an identity which will give true for all real x-values. Therefore it has INFINITE NUMBER OF SOLUTIONS.
PLEASE SOMEBODY HELP Let x and Y be two positive integers such that x-y =75 and the least common multiple of x and y is 360. Find the value of x+y.
Step-by-step explanation:
xy=360
x-y=75
(x-y)^2+2xy=(x+y)^2-2xy hence we have for x+y= ((x-y)^2+4xy)^0.5 which somehow equals 84.1