How many 3’s are in 1/8?

Answer: 7 - 2n

Step-by-step explanation:

a1 = 5

a6 = -5 = a + (n - 1)d = a + (6 - 1)d

a + 5d = -5

Since a1 = 5

5 + 5d = -5

5d = -5 - 5

5d = -10

d = -10/5

d = -2

Therefore, the equation to calculate the nth term of this sequence will be:

= a + (n-1)d

= a + (n - 1)-2

= 5 -2n +2

= 7 - 2n

The solution to the inequality is X  > 4

Inequality  is a set of mathematical expression which the individual side is not equal to other side

To solve for  x  in the inequality  x - 1 . 5 > 2, we followed the step;

Step 1: Add 1.5 to both sides

x - 1.5 + 1.5 > 2 . 5 + 1.5

X  > 4

Therefore, the solution to the inequality is X  > 4

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Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.

To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.

The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.

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Answer:

The cost for Thato's usage of 35 kl of water is R702.48.

Step-by-step explanation:

Since Thato used 35 kl of water, she falls into the third category where the rate is R16.20 per kl. We can calculate the cost as follows:

Cost = Fixed charge + (Rate per kl × Usage) + Infrastructure fee

The fixed charge is free for infrastructure, so we don't need to include it in this calculation.

Cost = (Rate per kl × Usage) + Infrastructure fee

= (R16.20 × 35) + R7.15

= R567.00 + R7.15

= R574.15

We also need to add 15% VAT to the cost:

Total cost = Cost × (1 + VAT)

= R574.15 × 1.15

= R702.48

Therefore, the cost for Thato's usage of 35 kl of water is R702.48.

2.4.2. Answer: The new fixed charge would be R92.81.

Explanation:

If the fixed charge is increased by 15%, the new fixed charge would be:

New fixed charge = Old fixed charge + (15% of old fixed charge)

= R80.70 + (0.15 × R80.70)

= R80.70 + R12.11

= R92.81

Therefore, the new fixed charge would be R92.81.

Answer:

Pretty sure the Answer is b. and if not b then c.

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1.

7-3/2-9=4/-7

Answer:

D. m=-4/7

Step-by-step explanation:

To find a slope with 2 points use the formula m=(y2-y1)/(x2-x1)

X is the first number in the parenthesis and Y is the second

A includes X1 and Y1 and B includes X2 and Y2

substitute your numbers into the equation to make

7-3/2-9 then you just subtract to get 4/-7 or -4/7

Answer:

Step-by-step explanation:

a) Pythagorean theorem,

altitude² + base² = hypotenuse²

h²  + (w² - 1)² = (w² + 1)²

                    h² = (w² + 1)² - (w² - 1)²    

{Compare with (a + b)² - (a -b)² = 4ab where a =w² & b = 1}

                   h² = 4*w²*1

                   h² = 4w²

                   \(h=\sqrt{4w^{2}} = \sqrt{2*2*w*w} \\\\\\h = 2w\)

b) Area of triangle = \(\frac{1}{2}b*h\)

                               \(=\dfrac{1}{2}*(w^{2}-1) *2w\\\\= (w^{2}-1)*w = w^{2}*w - 1*w\\\\=w^{3}-w\)

c) w =2

Area of triangle = 3w = 3*2 = 6

The manufacturer should produce 62.50 widgets and 187.50 gadgets to maximize profit. Note that this assumes fractional production is possible.

Let's discuss it further below.

The student question is asking for the optimal production solution for a manufacturer who produces widgets and gadgets, given their profit margins, setup costs, and raw material consumption.

Step 1: Define the variables:
Let x be the number of widgets produced and y be the number of gadgets produced.

Step 2: Set up the profit function:
Profit = 75x - 500 + 40y - 300

Step 3: Set up the constraints for raw materials:
8x + 6y ≤ 500 (raw material A)
x + 2y ≤ 500 (raw material B)

Step 4: Set up the constraints for non-negative production:
x ≥ 0
y ≥ 0

Step 5: Solve the linear programming problem using Excel Solver or any other linear programming solver.

Step 6: The optimal solution is found to be x = 62.50 (widgets) and y = 187.50 (gadgets). Round your answer to 2 decimal places.

So, the manufacturer should produce 62.50 widgets and 187.50 gadgets to maximize profit. Note that this assumes fractional production is possible.

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The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

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Answer:

There is nothing positive or negative about zero. Zero is just zero. It is NEITHER positive NOR negative. To the right of zero on number line are positive numbers and on the left of zero, lie the negative numbers on the number line.

Answer:

Positive numbers are greater than 0 and located to the right of 0 on a number line. Negative numbers are less than 0 and located to the left of 0 on a number line. The number zero is neither positive nor negative.

Answer:

No

Step-by-step explanation:

I will not do hard questions

Answer:

3/20

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

The circle is a whole, or 1

1 - 1/4 - 3/5 = area shaded

1 - 5/20 - 12/20 = area shaded

1 - 17/20 = area shaded

3/20 = area shaded

Another method:

1 - 0.25 - 0.6

1 - 0.85 = 0.15

0.15 = 3/20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

the answer is 23.

Step-by-step explanation: 20/15=1.5333333333......=1  1/2

The number is given by equation A = 1000

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as A

Now , the equation will be

15 is 1 1/2 % of the number A

Substituting the values in the equation , we get

15 = 1.5 % of A

On simplifying the equation , we get

15 = ( 1.5 / 100 ) x A

Multiply by 100 on both sides of the equation , we get

1.5A = 1500

Divide by 1.5 on both sides of the equation , we get

A = 1500/1.5

A = 1000

Therefore , the value of A is 1000

Hence , the number is 1000

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Answer:

(a) The system returns to equilibrium when y(t) = 0 at t = 2πk

(b) The turning points of the solution occur when y'(t) = 0 at t = 2πk + π/2

Step-by-step explanation:

To find the particular solution that satisfies the initial conditions of being stretched 1 unit away from equilibrium and given an initial velocity of 10 units/sec, we can solve for the constants c1 and c2.

y(0) = c1 = 1

y'(0) = -c1/2 + (c2/2)i + 5 = 10

c2 = 10i - 6

So the particular solution is y(t) = e^(-t/2) (cos(t/2) + (10i - 6)sin(t/2)).

Since the damping coefficient is proportional to the coefficient of the first derivative in the differential equation, the damping ratio is 1, which means that the system is critically damped, and therefore not damped or oscillatory.

The system returns to equilibrium when y(t) = 0, which occurs when

cos(t/2) + (10i - 6)sin(t/2) = 0.

This equation has roots at t = 2πk, where k is an integer.

The turning points of the solution occur when y'(t) = 0.

Using the expression for y(t) above, we can find that

y'(t) = -e^(-t/2) (sin(t/2) + 5cos(t/2) - 3),

which has roots at t = 2πk + π/2, where k is an integer. The first turning point occurs when k = 0, so t = π/2.

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Answer:

Yes I am sure you did it right

Step-by-step explanation:

Step-by-step explanation:

15 is between 9 and 16 which are two perfect squares

\(9 < 15 < 16\)

\( \sqrt{9} < \sqrt{15} < \sqrt{16} \)

\(3 < \sqrt{15} < 4\)

Answer:

d divided by 1/15 is o.75

Step-by-step explanation:

The likelihood that a shipment passes the test is 1

To determine the likelihood that a shipment passes the test, we can approach this problem using the concept of reliability in parallel systems.

In this case, the theater is testing a batch shipment of bulbs, and if two or more bulbs go out during the test, the shipment is returned. We can consider each bulb's reliability as an independent event.

The reliability of a single bulb is given as 95%, which means the probability that a bulb lasts at least 100 hours is 0.95. Therefore, the probability that a single bulb fails during the test (lasting less than 100 hours) is 1 - 0.95 = 0.05.

Since the theater tests 20 bulbs in parallel, we can consider it as a parallel system. In a parallel system, the overall system fails if and only if all the components fail. So, for the shipment to fail the test, all 20 bulbs must fail.

The probability that a single bulb fails during the test is 0.05. Since the bulbs are independent, we can multiply the probabilities:

Probability that all 20 bulbs fail = (0.05) * (0.05) * ... * (0.05) (20 times)

= 0.05^20

≈ 9.537 × 10^(-27)

Therefore, the likelihood that a shipment passes the test is the complement of the probability that all 20 bulbs fail:

Probability that a shipment passes the test = 1 - Probability that all 20 bulbs fail

= 1 - 9.537 × 10^(-27)

≈ 1

In practical terms, the likelihood that a shipment passes the test is essentially 1 (or 100%). This means that if the bulbs indeed have a 95% reliability, it is highly unlikely that two or more bulbs would go out during the test, and the shipment would almost always pass the test.

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The probability is 0.1.

acc to our question-

Hence,The probability is 0.1.

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Answer:

Step-by-step explanation:

Answer: 360

Step-by-step explanation:

Answer is 360 degrees

a parallelogram can be divided into two triangles

The Sum of the angles of each triangle is 180°

2 x 180 =360

Answer:

360

Step-by-step explanation:

Formula to find the sum of angles of any shape

(n-2)x180

(4-2)x180

2x180=360

Hence the sum of angles of a parallelogram is 360

Answer:

x= -2

Step-by-step explanation:

hope this helped <3

Answer:

Step-by-step explanation:

0 = 0 < 3 1/

10

< 7 < 7 6/

7

0 is equal to 0 is less than 3 1/

10

is less than 7 is less than 7 6/

7

0/

70

= 0/

70

< 217/

70

< 490/

70

< 550/

70

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

0.5 = 5/10 = 1/2

The answer is 1/2

Answers:

7. x=4.8          8. x=36.6       9. x=36.9  10. x=17.8

Work is shown in the picture below, I'm learning this stuff right now too, so I hope it helps!

We shall therefore obtain a square as a result. Since each square is a rectangle, the same perimeter and smaller area will be produced by using length and breadth of 90 yards.

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

Here,

original length=110 yards

original width=70 yards

perimeter=2(110+70)

=2*180

=360 yards

x+y=180

y=180-x

area=xy

A=x(180-x)

A=180x-x²

A'=180-2x

A'=0

2x=180

x=90 yards

y=90 yards

We shall so receive a square as a result. Given that each square is a rectangle, a length and width of 90 yards will result in a smaller area and the same perimeter.

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Answer:

G

explanation:

G is the same equation just put differently. if I am wrong I apologize.

Answer:

A) x = 4, y = 3.

B. x = 0, y = -4.

Step-by-step explanation:

A) 2x+ 3y =11 .........(a)

x+ y = 4.......(b)

Multiply equation (b) by 2:

2x + 2y = 8

Subtract this from equation (a):

y = 11-8 = 3.

Substitute y = 3 into equation (a):

2x + 3*1 = 11

2x = 11 - 3 = 8

x = 4.

B) 4x+ 3y = -12

   2x - y= 4

Multiply second equation by 2:

4x - 2y = 8

Subtract this from first equation:

3y - (-2y) = -12 - 8

5y = -20.

y = -4.

Substitute y = -4 into equation 1:

4x + 3*(-4) = -12

4x = -12 + 12 = 0

x = 0.