Please Help its my birthday today !!

Answer:

x < 5 and –6x – 5 < 10 – x

Step-by-step explanation:

The height of the trapezoid is 65.5 centimeters.

What is trapezoid ?

A trapezoid, also known as a trapezium in some countries, is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs.

The area of a trapezoid is given by the formula:

Area = (1/2) × (sum of bases) × height

Let h be the height of the trapezoid. We are given that the longer base is 131 cm and the shorter base is 85 cm. We are also given that the area is 7,074 square centimeters. Plugging in these values, we get:

7,074 = (1/2) × (131 + 85) × h

Simplifying, we get:

7,074 = (1/2) × 216 × h

Multiplying both sides by 2, we get:

14,148 = 216h

Dividing both sides by 216, we get:

h = 65.5

Therefore, the height of the trapezoid is 65.5 centimeters.

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Answer:

n=-15/2

EX:

3\cdot \frac{2}{3}n=3\left(-5\right)

2n=-15

\frac{2n}{2}=\frac{-15}{2}

n=-\frac{15}{2}

Answer:

n=-15/2

Step-by-step explanation:

Answer:

1.35 to nearest whloe ounce

The molarity of the KOH solution is approximately 0.1497 M.

To find the molarity of the potassium hydroxide (KOH) solution, we need to use the concept of stoichiometry and the balanced chemical equation for the reaction between KOH and HCl. The balanced equation is as follows:

KOH + HCl → KCl + H2O

From the balanced equation, we can see that 1 mole of KOH reacts with 1 mole of HCl to produce 1 mole of KCl and 1 mole of water. This means that the ratio of moles of KOH to moles of HCl is 1:1.

Given that the volume of the hydrochloric acid solution used is 27.1 mL and its molarity is 0.122 M, we can calculate the number of moles of HCl using the equation:

moles of HCl = molarity × volume (in liters)

= 0.122 mol/L × 0.0271 L

= 0.00331 mol

Since the stoichiometric ratio between KOH and HCl is 1:1, the number of moles of KOH is also 0.00331 mol.

Now, we can use the volume of the potassium hydroxide solution used in the titration, which is 22.1 mL, and the number of moles of KOH to calculate the molarity of the KOH solution.

molarity of KOH = moles of KOH / volume (in liters)

= 0.00331 mol / 0.0221 L

= 0.1497 M

Therefore, the molarity of the potassium hydroxide solution is approximately 0.1497 M.

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Complete Question:

An aqueous solution of potassium hydroxide is standardized by titration with a 0.122 M solution of hydrochloric acid. If 22.1 mL of base are required to neutralize 27.1 mL of the acid, what is the molarity of the potassium hydroxide solution?

Answer:

52

Step-by-step explanation:

Answer:

V = 3 x 14 x 6 1/4 = 3 x 14 x 25/4 = 1050/4 = 525/2 = 262 1/2 ft

=> Option D is correct

Hope this helps!

:)

Answer:

\( 262 \frac{1}{2} \: {ft}^{3}\)

Step-by-step explanation:

\(l = 14 \: ft \: \: \\b = 6 \frac{1}{4} \: ft = \frac{25}{4} \: ft \: \: \\h = 3 \: ft \\ \\ V_{rectangular \: prism} = lbh \\ = 14 \times \frac{25}{4} \times 3 \\ = \frac{1050}{4} \\ = 262 \frac{1}{2} \: {ft}^{3} \)

Answer: 50.24 mm

Step-by-step explanation:

Circumference= 2πr

C = 2 x 3.14 x 8mm

C = 50.24 mm

Answer:

Step-by-step explanation:

d=16mm

therefore r=8mm

therefore circumference = 2pi r = 2* 3.14*8

=50.42cm

hope it helps

Answer:

y = 1/2x + 2

Step-by-step explanation:

y = 1/2x + b

3 = 1/2(2) + b

3 = 1 + b

2 = b

Desalination is a process that involves removing salt and other minerals from seawater, brackish water, or other water sources to make it suitable for human consumption.

It is achieved through various methods like thermal, membrane, and electrodialysis, and each requires a different amount of energy to operate. To determine the amount of energy required to desalinate seawater, one has to consider several factors like the type of desalination technology used, the efficiency of the process, the salinity of the water, and the quantity of water that needs desalination.Therefore, there is no specific answer to this question. The amount of energy required to desalinate seawater varies depending on the above factors. Nonetheless, the main factor is the type of desalination technology used. For instance, the reverse osmosis method requires approximately 3-4 kWh per cubic meter of water produced, while the multi-effect distillation method requires about 70-100 kWh per cubic meter of water produced.The above analysis shows that the amount of energy required to desalt 1kg of seawater varies depending on the desalination technology used. Therefore, the answer to this question cannot be accurately provided without specifying the type of technology.

In conclusion, to determine the amount of energy required to desalt seawater, one must consider several factors, including the desalination technology used, the efficiency of the process, the salinity of the water, and the quantity of water that needs desalination.

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2.\(3m^2 - 3m - 18 = 3(m^2-m-6)=3(m-3)(m+2)\)

3.\(3x^2-3y^2=3(x^2-y^2)=3(x+y)(x-y)\)

4.\(y^4-16=(y^2-4)(y^2+4)=(y-2)(y+2)(y^2+4)\)

5.\(6x^2+14x+4 = (3x+1)(2x+4)\)

6.\(36my^2+12my-15m = m(36y^2+12y - 15)=m(6y-3)(6y+5)\)

Hope that helps!

Answer:

(4m - 1) × (2n + n)

Step-by-step explanation:

8m - 2 + 4mn - n

2(4m - 1) + 4mn - n

2(4m - 1) + n × (4m - 1)

= (4m - 1) × (2n + n)

The answer is (4m - 1) × (2n + n)

The simplest way of factorizing is:

Factorise: 8m-2+4mn-n

⇒ 8m - 2 + 4mn - n

⇒ 2(4m - 1) + 4mn - n

⇒ 2(4m - 1) + n × (4m - 1)

⇒ (4m - 1) × (2n + n)

Factorising is a way of writing an expression as a product of its factors using brackets.

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Answer:

\(x=1\)

\(y=2\)

Step-by-step explanation:

\(y=x^2+3x-2\) , \(y+3=5x\)

Replace all occurrences of \(y\) in \(y+3=5x\) with \(x^2+3x-2.\)

\((x^2+3x-2)+3=5x\)

\(y=x^2+3x-2\)

Add \(-2\) and 3.

\(x^2+3x+1=5x\)

\(y=x^2+3x-2\)

Subtract 5x from both sides of the equation.

\(x^2+3x+1-5x=0\)

\(y=x^2+3x-2\)

Subtract 5x from 3x.

\(x^2-2x+1=0\)

\(y=x^2+3x-2\)

Rewrite 1 as \(1^2\).

\(x^2-2x+1^2=0\)

\(y=x^2+3x-2\)

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

\(2x=2\) · \(x\) · \(1\)

\(y=x^2+3x-2\)

Rewrite the polynomial.

\(x^2-2\) · \(x\) · \(1\) \(+\) \(1^2=0\)

\(y=x^2+3x-2\)

Factor using the perfect square

trinomial rule \(a^2-2ab+b^2=(a-b)^2,\)

where a = x and b = 1.

\((x-1)^2=0\)

\(y=x^2+3x-2\)

Set the \(x-1\) equal to 0.

\(x-1=0\)

\(y=x^2+3x-2\)

Add 1 to both sides of the equation.

\(x=1\)

\(y=x^2+3x-2\)

Replace all occurrences of \(x\) in

\(y=x^2+3x-2\) with 1.

\(y=(1)^2+3(1)-2\)

\(x=1\)

\(y=2\)

Answer:

y=-1/2x+4 Is your answer

Step-by-step explanation:

y=mx+b

3=2x+4

-1=2x

x=-1/2

You already know y is 4 so y=-1/2x+4

Answer:

Below in bold.

Step-by-step explanation:

f(x) = x^3 - x

Finding the derivative:

f'(x) = 3x^2 - 1

At a maximum/minimum

3x^2 - 1 = 0

x^2 = 1/3

x = +/- √(1/3) or +/- 0.57735

As x < 0 the answer is -0.58 to 2 s.f's.

This gives a maximum value of f(x) as the second derivative 6x  with x = -0.58 gives a negative value.

The speed of the boat in still water and the speed of the current is 18 and 5 miles/hour respectively.

Define speed, distance and time.

A key idea in mathematics is time speed and distance. Questions like circular motion, boats and streams, mobility in a straight line, clocks, races, etc. frequently involve the concepts of time and distance.

Formula of speed distance and time is Distance/Time = Speed

Speed describes the distance traveled divided by the time required to cover the distance and indicates how quickly or slowly an object goes.

Given data -

Time to travel 299 miles downstream = 13 hours

Time to travel 299 miles upstream = 23 hours

Let the speed of the boat in still water = x miles/hour

Let the speed of the current = y miles/hour

Then, speed of the boat downstream = (x + y) miles/hour

And speed of the boat upstream = (x - y) miles/hour

According to the concept of speed, distance and time

As time to travel 299 miles downstream = 13 hours,

299 / (x + y) = 13

x + y = 23          --------- equation 1

Similarly, as time to travel 299 miles upstream = 23 hours

299 / (x - y) = 23

x - y = 13            ------------equation 2

By adding equation 1 and 2, we will get

2x = 36

x = 18

Substitute the value of x in equation 2, we will get

y = 5

The speed of the boat in still water = 18 miles/hour

The speed of the current = 5 miles/hour

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Answer:

9.6

2.4.

Step-by-step explanation:

It is easy. If you do with calculator it's easy.

Answer:

1. 1

2. 4

3. 7

4. 1

5. 10

6. 6

7. 2

8. 5

9. 6

10. 3

11. 5

12. 7

Step-by-step explanation:

on the picture

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THANK YOU

Answer:

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Step-by-step explanation:

The graph of y = sin(x) is a wave that keeps oscillating between -1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]

The graph of y = sin(x) is referred to as a periodic function because it repeats itself infinitely.

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Answer:

(-4, 2).

Step-by-step explanation:

8x + 5y=-22

-3x - 5y = 2   Adding the 2 equations:

5x = -20

x = -4.

Substitute x = -4 in the first equation:

8(-4) + 5y = -22

5y = -22 + 32

5y = 10

y = 2.

Answer:

\(x=-4,\:\\y=2\)

Step-by-step explanation:

\(\begin{bmatrix}8x+5y=-22\\ -3x-5y=2\end{bmatrix}\\\mathrm{Multiply\:}8x+5y=-22\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:24x+15y=-66\\\mathrm{Multiply\:}-3x-5y=2\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:-24x-40y=16\\\\\begin{bmatrix}24x+15y=-66\\ -24x-40y=16\end{bmatrix}\\\\-24x-40y=16\\+\\\underline{24x+15y=-66}\\-25y=-50\\\begin{bmatrix}24x+15y=-66\\ -25y=-50\end{bmatrix}\\-25y=-50\\\mathrm{Divide\:both\:sides\:by\:}-25\\\frac{-25y}{-25}=\frac{-50}{-25}\\y=2\\\)

\(\mathrm{For\:}24x+15y=-66\mathrm{\:plug\:in\:}y=2\\24x+15\times\:2=-66\\24x+30=-66\\24x+30-30=-66-30\\24x=-96\\\frac{24x}{24}=\frac{-96}{24}\\x=-4\\\\\\x=-4,\:y=2\)

The function which represents a quadratic function is f(x) = three-quarters x^2 + 2x - 5 as it has a degree of 2 which is highest exponent.  The correct answer is A).

The quadratic function is f(x) = three-quarters x^2 + 2x - 5.

We can identify a quadratic function by its degree, which is 2. The degree of a polynomial is the highest exponent in the expression.

In the given options, f(x) = three-quarters x^2 + 2x - 5 has a degree of 2, with the x^2 term being the highest exponent. The other options have either a degree of 3 (f(x) = -8x^3 - 16x^2 - 4x) or 0 (f(x) = 0x^2 - 9x + 7), or are not even functions (f(x) = 4/x^2 - 2/x + 1). so, the correct option is A).

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

∠ BAC

Step-by-step explanation:

BC is a side of Δ ABC and is opposite ∠ BAC

Eve now completes a percent   mile in about 67% less time than she did previously.

In essence, percentages are fractions with a denominator of 100. The cent symbol (%) is placed next to a number to indicate that it is a percentage. As an illustration, if you answered 75 of 100 questions correctly on an examination (75/100), then would have received a score of 75% percent drop (original value − new value) / initial value x 100%).

Let's use "t1" for yesterday's time and "t2" for today.

t1 = 15 minutes, t2 = 5 minutes.

Using the equation, we obtain:

percentage decrease equals (t1 - t2) / (t1 x 100%) percentage decrease equals (15 - 5) / (15 x 100%) percentage decrease equals 10 / (15 x 100%) percentage decrease equals 0.666... x 100% percentage decrease equals 67%

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If and only if f(a) = 0, a polynomial f(x) has a factor (x-a). It's one of the techniques for factoring a polynomial.

A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.

The factor theorem can help us determine if a factor is a "root" or "zero" of a polynomial. In other words, if we have a polynomial function, the factor theorem allows us to check if a particular value (usually represented by the variable x) is a solution to the polynomial equation, which means that when we plug in that value for x, the resulting output of the polynomial function will be zero. If it is, then we know that (x - a) is a factor of the polynomial, where "a" is the solution we found.

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she would have four seeds left because 6 seeds times six pots would equal 36 seeds so subtract 36 from forty to get four

Step-by-step explanation:

Answer:4

Step-by-step explanation:6x6=36+4=40

Answer:

C

Step-by-step explanation:

Recall the point-slope form of a linear equation:

\(y-y_{1}=m(x-x_{1} )\)

Where y1 and x1 are points from the ordered pair (x1, y1),

and m represents the slope of the line.

We are given that the point (-5, 7) belongs to the graph. Here, the x-coordinate is -5, and the y-coordinate is 7.

Let's plug in these values, were x1=-5, and y1=7:

\(y-y_{1}=m(x-x_{1} )=\\y-7=m(x-(-5))=\\y-7=m(x+5)\)

We are also given that the slope is -4/3.

In other words, m=-4/3. Let's plug this value in:

\(y-7=m(x+5)=\\y-7=-\frac{4}{3}(x+5)\)

Thus, the answer is C.

Answer:

C

Step-by-step explanation:

The point-slope form of the equation of a line passing through the point (x1, y1)with a slope of m is given by:

y - y1 = m(x - x1)

To find the equation of the line passing through the point (-5, 7)with a slope of -4/3, we substitute m = -4/3, x1 = -5, and y1 = 7 into the point-slope form equation:

y - 7 = (-4/3)(x - (-5))

Simplifying this equation, we get the final result in slope-intercept form:

y = (-4/3)x + (17/3)

Therefore, the equation of the line in a point-slope form that passes through (-5,7) and has a slope of -4/3 is y + 7 = -4/3 (x + 5)

Answer:

y=-.5x-4

Step-by-step explanation:

The -.5 would be multiplied by the slope, making a negative slope.