Solve the inequality. 2>843h

Final answer:To solve the inequality 2 > 8 - 43h, subtract 8 from both sides and divide by -43, then flip the inequality sign. The solution is h > 6/43.Explanation:To solve the inequality 2 > 8 - 43h, we need to isolate the variable h. Let's start by subtracting 8 from both sides:2 - 8 > 8 - 8 - 43h-6 > -43hNext, we divide both sides of the inequality by -43, but since we are dividing by a negative number, the inequality sign flips:-6/-43 < -43h/-43Simplifying the expression:6/43 < hThe solution to the inequality is h > 6/43.

Mathematics High School

Solve the inequality. 2>8−43h

Answers

Answer 1

Final answer:

To solve the inequality 2 > 8 - 43h, subtract 8 from both sides and divide by -43, then flip the inequality sign. The solution is h > 6/43.

Explanation:

To solve the inequality 2 > 8 - 43h, we need to isolate the variable h. Let's start by subtracting 8 from both sides:

2 - 8 > 8 - 8 - 43h

-6 > -43h

Next, we divide both sides of the inequality by -43, but since we are dividing by a negative number, the inequality sign flips:

-6/-43 < -43h/-43

Simplifying the expression:

6/43 < h

The solution to the inequality is h > 6/43.

Related Questions

6) If sec theta+tan theta = P. PT sin theta=P^2-1/P^2+1 ...?

Answers

I will use the letter x instead of theta.

Then the problem is, given sec(x) + tan(x) = P, show that

sin(x) = [P^2 - 1] / [P^2 + 1]

I am going to take a non regular path.

First, develop a little the left side of the first equation:

sec(x) + tan(x) = 1 / cos(x) + sin(x) / cos(x) = [1 + sin(x)] / cos(x)

and that is equal to P.

Second, develop the rigth side of the second equation:

[p^2 - 1] / [p^2 + 1] =

= [ { [1 + sin(x)] / cos(x) }^2 - 1] / [ { [1 + sin(x)] / cos(x)}^2 +1 ] =

= { [1 + sin(x)]^2 - [cos(x)]^2 } / { [1 + sin(x)]^2 + [cos(x)]^2 } =

= {1 + 2sin(x) + [sin(x)^2] - [cos(x)^2] } / {1 + 2sin(x) + [sin(x)^2] + [cos(x)^2] }

= {2sin(x) + [sin(x)]^2 + [sin(x)]^2 } / { 1 + 2 sin(x) + 1} =

= {2sin(x) + 2 [sin(x)]^2 } / {2 + 2sin(x)} = {2sin(x) ( 1 + sin(x)} / {2(1+sin(x)} =

= sin(x)

Then, working with the first equation, we have proved that [p^2 - 1] / [p^2 + 1] = sin(x), the second equation.

1. Determine whether each coefficient is positive or negative
2. Choose the coefficient closest to 0
3. Choose the coefficient with the greatest value

Answers

1) First and last coefficients are negative because graph is on negative side of y axis. Second and third are positive because graph is on positive side of y axis.

2) Coeff. closest to 0 is C because as x increases c*x^2 = y increases at lowest rate (you can say that the wider graph the lower coefficient is)

3) Oposite from 2. Coeff with greatest value is A

Graph A & C are negative

Graph B & D are positive

The coefficient closest to 0 is B

The coefficient with the least value is A

Hope this helped :3

Area of a kite
Solve for d2: A=1/2d1d2

Answers

A=1/2(d1d2)A=(d1d2)/22A=d1d2d2=2A/d1

Answer:

The value of the equation for [tex]d_2[/tex] is [tex]d_2=\frac{2A}{d_1}[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]A=\frac{1}{2}d_1d_2[/tex]

We need to solve the equation for [tex]d_2[/tex].

Multiply both the sides by 2.

[tex]2A=2\times \frac{1}{2}d_1d_2[/tex]

[tex]2A=d_1d_2[/tex]

Divide both sides by [tex]d_1[/tex].

[tex]\frac{2A}{d_1}=\frac{d_1d_2}{d_1}[/tex]

[tex]d_2=\frac{2A}{d_1}[/tex]

Hence, the value of the equation for [tex]d_2[/tex]is [tex]d_2=\frac{2A}{d_1}[/tex].

Solve. How can I solve this division 12 divided by 144140

Answers

The answer is 0.00008325

Hope this helps!

According to given question, 12 divided by 144140 is approximately 0.000083158.

To divide 12 by 144140, simply perform the division:

12 ÷ 144140 ≈ 0.000083158

So, 12 divided by 144140 is approximately 0.000083158.

Division is a mathematical operation used to distribute a quantity or a number of items into equal parts. It involves finding out how many times one number (called the divisor) can be subtracted or taken away from another number (called the dividend) until there is nothing left or the subtraction cannot be done anymore.

The result of the division is called the quotient, and it represents the number of equal parts or groups that the dividend can be divided into by the divisor. In the division expression "a ÷ b," where "a" is the dividend and "b" is the divisor, the quotient is represented by "a/b."

For example, in the division 12 ÷ 3:

12 is the dividend (the total quantity to be divided).

3 is the divisor (the number of equal parts to divide the dividend).

The quotient is 4, as 12 can be divided into 4 equal parts of size 3.

Division is the opposite operation of multiplication. If you have two numbers, the product of their multiplication can be divided by one of the numbers to get the other number. For example, 12 × 3 = 36, and 36 ÷ 3 = 12.

To know more about division here

https://brainly.com/question/28119824

#SPJ2

. Each U.S. coin is mapped to its monetary value. Tell whether this situation represents a function. Explain your reasoning. If the situation represents a function, give the domain and range.

Answers

Coin    Value

cent 1 cent
nickel    5 cents
dime       10 cents
quarter       25 cents
dollar 100 cents

This is a function, because you can state unambiguosly the value of each coin.

The domain is the set of input values: { cent, nickel, dime, quarter, dollar}

The range is the set of output values: {1, 5, 10, 25, 100}

How many solutions are there to this equation?
5(x + 10)- 25= 5x + 25
a. 1
b. 0
c. infinitely many

Answers

There are infinitely many solutions

integrate 1/((x^5)*sqrt(9*x^2-1)) ...?

Answers

let 9x^2-1 = y^2
=> 18xdx = 2ydy
=> ydy = 9xdx

lower limit = sqrt(9*2/9 - 1) = sqrt(1) = 1
upper limit = sqrt(9*4/9 - 1) = sqrt(3)

Int. [sqrt(2)/3,2/3] 1/(x^5(sqrt(9x^2-1)) dx

= Int. [sqrt(2)/3,2/3] xdx/(x^6(sqrt(9x^2-1))
= 81* Int. [1,sqrt(3)] ydy/((y^2+1)^3y)
=81* Int. [1,sqrt(3)] dy/(y^2+1)^3

y=tanz
dy = sec^2z dz

=81*Int [pi/4,pi/3] cos^4(z) dz
=81/4*int [pi/4,pi/3] (1+cos(2z))^2 dz
=81/4* Int. [pi/4,pi/3] (1+2cos(2z)+cos^2(2z)) dz

=81/4*(pi/3-pi/4) + 81/4*(sin(2pi/3)-sin(pi/2)) + 81/8 * (pi/3-pi/4)
+ 81/32 *(sin(-pi/3)-sin(pi))
=81(pi/48+pi/96+1/4*(sqrt(3)/2 - 1) - 1/32 * sqrt(3)/2)
=81/32*(pi+3sqrt(3)-8)

Choose the right answer.

Two hundred fifty tickets are sold at a fund raiser. If Sarah buys 15 tickets, the probability that she will win the prize quilt is
6%
7.5%
15%

Answers

The answer is 6%.
please mark my answer as most brainliest if it helped you! :)

Answer:

Option A. 6%

Step-by-step explanation:

250 tickets are sold at a fund raiser.

Sarah buys 15 tickets.

The probability that she will win the prize quilt = [tex]\frac{15}{250}[/tex]

= 0.06 = 6%

The probability that Sarah will win is 6%.

A commuter must pass through five traffic lights on her way to work, and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.

X= # of red P(x)
0 0.05
1 0.25
2 0.35
3 0.15
4 0.15
5 0.05
a. How many red lights should she expect to hit each day?
b. What's the standard deviation?
c. Find the mean and standard deviation of the number of red lights the commuter should expect to hit on her way during a 5 day work week.

Answers

Answer:

a) 2 red lights

b) SD = 1.26

c) mean = 10, SD = 1.26

Step-by-step explanation:

a) The number of red lights she expects to hit by day can be gotten by calculating the mean of the distribution.

[tex]E(X) = \sum xP(x)[/tex]

[tex]E(X) = (0*0.05) + (1*0.25) + (2*0.35) + (3*0.15) + (4*0.15) + (5*0.15)\\E(X) = 2.25[/tex]

Since the number of lights cannot be a decimal, she expects to hit 2 lights each day

Variance, [tex]V(X) = \sum(x- \mu)^{2} P(x)[/tex]

[tex]V(X) = [(0-2.25)^{2}*0.05] + [(1-2.25)^{2}*0.25] + [(2-2.25)^{2}*0.35] + [(3-2.25)^{2}*0.15] + [(4-2.25)^{2}*0.15] + [(5-2.25)^{2}*0.05][/tex]

V(X) = 0.253 + 0.391 + 0.022 + 0.084 + 0.459 + 0.378

V(X) = 1.587

Standard Deviation, [tex]SD = \sqrt{V(X)}[/tex]

[tex]SD = \sqrt{1.587}[/tex]

SD = 1.26

c) In a 5 day work week, the commuter is expected to hit an average of 5* 2 red lights, i.e. mean = number of red lights hit per day * number of days

mean = 2 * 5

mean = 10

The standard deviation will not change, SD = 1.26

Marietta is selling cheeses for the holiday fund raiser. Monday she sole 7/9 of the boxes of cheeses. Tuesday she restocked her supply and sold 0.85 of the boxes of cheeses. Which day did she sell more boxes? Explain and show.

Answers

The second day, she sold more.

We know 7/9 is about 0.777777777778

And 0.78 < 0.85

So the second day she sold more.

The revenue from selling x shirts is r(x) = 12x.

The cost of buying x shirts is c(x) = 5x + 20.

The profit from selling x shirts is p(x) = r(x) – c(x).

What is p(x)?

A. p(x) = 7x – 20
B. p(x) = 17x + 20
C. p(x) = 17x – 20
D. p(x) = 7x + 20

Answers

The answer will be A.
p(x)=r(x) - c(x) Formula
p(x)=(12x) - (5x + 20) Substitution
p(x)=12x - 5x - 20 Distribution of the negative
p(x)=7x - 20 Combine like terms
That is your answer

Answer:

p(X)=7x-20

Step-by-step explanation:

correct answer

slope of j (0,0) , k (-2,8)

Answers

I hope this helps you

The slope of the line passing through points J (0,0) and K (-2,8) is calculated using the slope formula and results in a slope of -4.

The question asks to calculate the slope of the line passing through points J (0,0) and K (-2,8). The slope of a line is found by the formula

slope = (y'' - y') / (x'' - x'), where (x', y') and (x'', y'') are the coordinates of two distinct points on the line. Substituting the given points into this formula gives us

slope = (8 - 0) / (-2 - 0) = 8 / -2 = -4.

∠1 is decomposed into two nonoverlapping angles, ∠2 and ∠3. let m∠1 = 130° and m∠3 = 75°. what type of angle is ∠2?
a. acute
b. obtuse
c. right
d. straight

Answers

The answer would be A. Acute. (◕ᴗ◕✿) This face is so 'ACUTE' get--get it..cause..ill leave now.

Which of the following describes the non-rigid transformation in the function shown below?
y-1=-(3x+1)^2

A. The graph is shifted 3 units down.
B. The graph is stretched vertically by a factor of 3.
C. The graph is reflected across the x-axis.
D. The graph is stretched horizontally to 1/3 the original width.

Answers

Answer: The graph is stretched horizontally to 1/3 the original width

For your best understanding I will brief all the transformations that you can infere from the expression.

Take as basis the graph y = x^2

When you multiply by a negative one you make a rigid translation (reflection across the x-axys)

When you add a positive constant to the total function (which is the same that substract it from the left side) you make a rigid translation, which is shifting a number of units equal to the value of the constant up.

When you add a positive constant to the argument of the function (this is the x before squaring it), you make a rigid traslation, which is shifting the graph a number of units equal to the value of the constant left.

When you multiply this function inside the argument, the graph is stretched vertically by a factor of the number square. In this case 3^2 = 9, but it squezes the function horizontally by a factor of 1/3.

Then, my option is the fourth of the list, because the function is shrinked horizontally by a factor of 1/3 (the term strecth is being used in a wide conception: if the factor is greater than 1 it is indeed a strecht but if the factor is less than 1 the stretch is a shrinkag).

Answer:

the graph is stretched horizontally to 1/3 the original width

Step-by-step explanation:

the graph is also reflected and translated but those are rigid transformations and this is asking about the non rig transformations

How do you prove that ABE is congruent to DBC?

Answers

prove that abc congreunt to dbc

BE=BC (given)
BAE=CDB ( GIVEN
ABE = CBD (VERTICALLY OPPOSITE ANGLES)
THEREFORE ABE TRAINGLE CONGREUNT TO DBC TRAINGLE.

what is 1/4% in dollars of 3 million dollars

Answers

One forth of 3 million is 750,000

7500 US Dollars I think

You have $270 in your bank account. You plan to save $80 from your paycheck each week. Which graph shows your bank account balance at the end of each week?

Answers

Y=80x+270
If you want to know how to do it just let me know

Answer: The below graph shows the given situation.

Step-by-step explanation:

Let x represents the number of week, and y represents the total balance in the account after x weeks.

Since, initially the amount in the account = $ 270

According to the question,

Every week $80 is saved.

Thus, the total saving in x weeks = 80 × x = 80x

Since the total amount in x weeks = Initial amount + total saving.

⇒ y = 80x + 270

Which is the equation of line that shows the given situation.

x-intercept of the line is (-27/8,0)

y-intercept = (0,270)

If x=1 y = 350

If x=2 y= 430

If x=3 y =510

Thus, the points of the line are (1,350), (2,430), (3,510)

Hence we can draw the graph with help of above information.

What is the surface area of a sphere with a radius of 11 units? Leave it in pi

Answers

The answer is 484 π units²

The area of a sphere with radius r is:
A = 4πr²

We have:
A = ?
r = 11 units

So:
A = 4π * 11²
A = 4π * 121
a = 484 π units²

Answer:

[tex]\text{Area of sphere is }484\pi units^2[/tex]

Step-by-step explanation:

Given the radius of sphere 11 units

we have to find the surface area of sphere

Radius=11 units

As area of sphere can be calculated as

[tex]\text{Area}=4\pi r^2[/tex]

[tex]=4\pi (11)^2=484\pi units^2[/tex]

[tex]\text{Area of sphere is }484\pi units^2[/tex]

How many solutions to this equation?
145 = 10x - 8x
A. 2
B. 1
C. infinitely many

Answers

There is 1 solution

Given the triangle shown here, the first steps in the proof of the law of sines are:

A. Set sinA = b/k and sinB = k/a and solve for k in both equations.
B. Set sinA = k/b and sinB = a/k and solve for k in both equations.
C. Set sinA = -k/b and sinB = -k/a and solve for k in both equations.
D. Set sinA = k/b and sinB = k/a and solve for k in both equation.

Answers

Based on the given figure above, if you look at the right triangles, for angle A, b would be the hypotenuse and for angle B, a would be the hypotenuse in both triangles, k would be the opposite side. Base on this, we can conclude that the correct answer would be the last option or option D. Hope this answer helps.

HELP ASAP!!!

The best-selling book Samantha has been waiting for hit the shelves at $21.56. What percent discount was this off the cover price of $26.95?

A. 20%
B. 25%
C. 30%
D. 35%

Answers

The correct answer is A) 20%. Hope this helps.

($21.56)/ ($26.95)* 100%= 80%

That means the price of the book after discount is 80% of its original price.

Percent discount was:
100%- 80%= 20%

The final answer is A. 20%.

What is the simplified form of each expression?

A. 729x33

B. 3x33

C. 729x29

D. 3x29

Answers

24057
99
21141
87
These are the correct answers.

The simplified form of each expression is as follows:

[tex]A. $ 729 \times 33 $ simplifies to $ 3^6 \times 33 $ B. $ 3 \times 33 $ simplifies to $ 3 \times 3 \times 11 $ or $ 3^2 \times 11 $. C. $ 729 \times 29 $ simplifies to $ 3^6 \times 29 $. D. $ 3 \times 29 $ simplifies to $ 3 \times 29 $.[/tex]

To simplify these expressions, we recognize that 729 is a power of 3, specifically [tex]$ 3^6 $[/tex], and that 33 and 29 are prime numbers. Therefore, we can express each product in terms of its prime factors.

A. For the expression [tex]$ 729 \times 33 $[/tex] , we know that 729 is [tex]$ 3^6 $[/tex] and 33 is a prime number. Thus, the simplified form is [tex]$ 3^6 \times 33 $[/tex].

[tex]B. For the expression $ 3 \times 33 $, we can further break down 33 into $ 3 \times 11 $, since 33 is the product of these two prime numbers. Therefore, the simplified form is $ 3^2 \times 11 $ or $ 3 \times 3 \times 11 $.[/tex]

[tex]C. For the expression $ 729 \times 29 $, similar to expression A, 729 is $ 3^6 $ and 29 is a prime number. Hence, the simplified form is $ 3^6 \times 29 $.[/tex]

[tex]D. For the expression $ 3 \times 29 $, both 3 and 29 are prime numbers, so the expression is already in its simplest form and cannot be simplified further. Thus, the simplified form remains $ 3 \times 29 $.[/tex]In summary, the simplified forms are:

[tex]A. $ 3^6 \times 33 $ B. $ 3^2 \times 11 $ or $ 3 \times 3 \times 11 $ C. $ 3^6 \times 29 $ D. $ 3 \times 29 $[/tex]

72/60 in simplest form

Answers

The common number is 6.
72/6=12
60/6=10
12/10
simplify that, it is 6/5

in 2000 the average cost for a gallon of gasoline was 1.40 in 2007 the average cost for a gallon of gasoline is 2.60 what is the percent of increase rounded to the nearest whole number

Answers

umm... if in 2000 it was 1.40 and in 2007 it was 2.60, you subtract the two ie 2.60 -1.40 and you will get 1.2
Then, take 1.2 and divide it by 1.40 and then multiply by 100

hope you got it :))

So basically the answer would be 86%

How many solutions are there to the equation below?
13x + 195 = 13(x + 15)
A. 0
B. 1
C. infinitely many

Answers

There would be no solutions. 13x cancels each other out in the equation, so you would have no X all together.

The line y = –2x – 8 is graphed. Which ordered pairs are solutions to the equation? Check all that apply.
A) (–8, 8)
B) (–6, 2)
C) (–2, 4)
D) (0, –4)
E) (2, –12)

Answers

a,e you can use a algebra calculator online to get answers to these type of problems

Simple...

you have: y=-2x-8

Simply plug in the coordinates-->>

A.) (-8,8)

8= -2(-8)-8

8=16-8

8=8 (Yes/True)

B.) (-6,2)

2=-2(-6)-8

2=12-8

2=4 (No)

C.) (-2,4)

4=-2(-2)-8

4=4-8

4=-4 (No)

D.) (0,-4)

-4=-2(0)-8

-4=0-8

-4=-8 (No)

E.) (2,-12)

-12=-2(2)-8

-12=-4-8

-12=-12 (Yes/True)

Thus, your answer.

What is difference between a tilt level and a dumpy level?

Answers

Final answer:

A tilt level and a dumpy level are both surveying instruments used for measuring horizontal distances and vertical elevations. The main difference is that the tilt level has a built-in compensator that eliminates the need for manual leveling, while the dumpy level requires manual leveling before each use.

Explanation:

A tilt level and a dumpy level are both surveying instruments used for measuring horizontal distances and vertical elevations. However, there are some key differences between the two.

Tilt Level: A tilt level, also known as a tilting level, is a type of level that utilizes a compensator mechanism to maintain a level plane even when the instrument itself is not level. This compensator allows for accurate measurements and eliminates the need for manually leveling the instrument each time.

Dumpy Level: A dumpy level, on the other hand, is a more traditional type of level that requires manual leveling before each use. It consists of a telescope mounted on a tripod, and the instrument is adjusted using leveling screws to ensure that it is perfectly horizontal. The dumpy level does not have a compensator like the tilt level, so the instrument needs to be leveled manually to obtain accurate measurements.

In summary, the main difference between a tilt level and a dumpy level is that the tilt level has a built-in compensator that eliminates the need for manual leveling, while the dumpy level requires manual leveling before each use.

Hakeem's frog made three quick jumps. The first was 1 meter. The second jump was 85 centimeters. The third jump was 400 millimeters. What was the total length in centimeters of the frog's three jumps?

Answers

1 meter = 100 cm
85 cm
1 mm = 0.1 cm, so 400 mm = (400 x 0.1) = 40 cm

100 + 85 + 40 = 225 cm <== total length

Answer: 225 Centimeters

Step-by-step explanation:

S = p/(q + p(1 − q)) solve for q

Answers

s = p/(q +p -pq)
q +p -pq = p/s
q -pq = p/s - p
q(1-p) = p/s - p
q = (p/s - p) / (1-p)

S = p/(q+p(1-q)) S(q+p(1-q)) = p S(q+p-pq) = p Sq+Sp-Spq = p Sq-Spq = p-Sp q(S-Sp) = p-Sp q = (p-Sp)/(S-Sp)

Which rule represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I'?

(x, y)→(x - 8, y - 7)

(x, y)→(x - 7, x - 8)

(x, y)→(x - 4, x - 5)

(x, y)→(x - 5, y - 4)

Answers

Correct answer is A.

Each vertex of the hexagon is translated 8 units left and 7 units down. So, the x-coordinate is 8 units smaller (x - 8), and the y-coordinate is 7 units smaller (y - 7).

Therefore (x, y) → (x - 8, y -7)

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