Find the solution of the system of equations . - 5x + 9y = 11 x - 3y = - 7
how do i solve this

Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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we know that in 16.5 laps we get 37 miles, hmmm well the circumference of that circle is just 1 lap, how many miles is there in 1 lap?

\(16.\underline{5}\implies \cfrac{165}{1\underline{0}}\implies \cfrac{33}{2} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} laps&miles\\ \cline{1-2} \frac{33}{2}&37\\[1em] 1&x \end{array}\implies \cfrac{~~\frac{33}{2} ~~}{1}=\cfrac{37}{x}\implies \cfrac{33}{2}=\cfrac{37}{x} \\\\\\ 33x=74\implies x=\cfrac{74}{33}\impliedby \stackrel{\textit{one lap}~\hfill }{\textit{circumference of the circle}} \\\\[-0.35em] ~\dotfill\)

\(\textit{Circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=\frac{74}{33} \end{cases}\implies \cfrac{74}{33}=2\pi r\implies \cfrac{74}{33(2\pi )}=r \\\\\\ \stackrel{miles}{0.35689}\approx r\implies \stackrel{\textit{about 1884 ft and 5 inches}}{1884.395\approx r}\)

Answer:

See explanation

Step-by-step explanation:

\(6 {c}^{2} + 2 {c}^{4} - c \\ \\ standard \: form = \red{ \boxed{ \bold{2 {c}^{4} + 6 {c}^{2} - c}}} \\ \\ degree = \purple{ \boxed{ \bold{4}}} \\ \\ leading \: coefficient = \orange{ \boxed{ \bold{1}}}\)

Answer:

Step-by-step explanation:

Solve for the variable. Determine if there is one solution, infinitely many solutions, or no solution.

-6x – 12 = 5(-2x – 3)

Let's start by simplifying the right side of the equation:

5(-2x – 3) = -10x - 15

Substituting this back into the original equation, we get:

-6x - 12 = -10x - 15

Next, we can simplify this equation by adding 10x to both sides:

4x - 12 = -15

Finally, we can add 12 to both sides:

4x = -3

Dividing both sides by 4 gives us:

x = -3/4

Therefore, there is one solution, and x equals -3/4.

Answer:

Step-by-step explanation:

it think it 23 becasue u add

1 divide it by 2

Using a system of equations, for Madelyn to add a certain number of charms to her bracelet, where the cost will be the same at either jewelry shop, the number of chams would be 5.

When two or more equations are solved concurrently, they are described as a system of equations.

Another description of a system of equations is simultaneous equations.

                                       Oxford Fine    Espinoza

Unit cost per charm              $12                 $14

The cost of the bracelet      $40                $30

Let the number of charms = c

Equation 1: (Costs at Oxford Fine) 12c + 40

Equation 2: (Costs at Espinoza) 14c + 30

For the cost to be the same at either jewelry shop, Equation 1 must equal Equation 2:

12c + 40 = 14c + 30

-2c = -10

c = 5

Check:

12c + 40

12(5) + 40 = $100

14c + 30

14(5) + 30 = $100

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The final answer is 8 liters (8000 milliliters/1000).

To add these volumes, we need to convert everything to the same unit. We can convert liters to milliliters since 1 liter is equal to 1000 milliliters.

- 2.5 liters can be converted to 2500 milliliters (2.5 x 1000)

- 2 liters is equal to 2000 milliliters (2 x 1000)

Now we can add all the volumes in milliliters:

- 2,000 milliliters

- 2,500 milliliters

- 1,500 milliliters

- 2,000 milliliters

When we add these volumes, we get a total of 8,000 milliliters. However, we can simplify this answer and convert it back to liters by dividing by 1000.

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To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Using the probability concept, it is found that there is a 0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these number of outcomes are taken from previous trials.

In this problem:

Then:

\(p = \frac{6}{20} = 0.3\)

0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.

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Step-by-step explanation:

n mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. ... For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with common difference of 2.

Answer:

x = 4√2

Step-by-step explanation:

x² - 33 = -1            [ change sides ]

x² = -1 + 33          

x² = 32

x = √3   [changing sides, changes power of square, (²) turns square root,√ ]

x = √4 * 4 * 2

x = 4√2   .......final answer.

Answer:

x = 4√2 or x = −4√2

Step-by-step explanation:

Step 1: Add 33 to both sides.

x2 − 33 + 33 = −1 + 33

x2 = 32

Step 2: Take square root.

x = ±√32

x = 4√2 or x = −4√2

The domain of the vector function is : ( -6, -2) ∪ ( -2, 6)

The given vector function can be correctly expressed as:

r(t) = (t-2)i / (t+2) + sintj + ln(36-t²)k²

The domain of the given function can be determined by finding the domain of each respective component.

(t-2)i / (t+2)

Not defined, t = -2

Thus, the domain of the first component of the vector = (-∞, 2) ∪ (2, ∞)

The 2nd component = sin t

No restriction on t,

The 3rd component of the function is ㏑(36 - t²)

we know,

Natural number is defined for +ve numbers,

i.e.

36 - t² > 0

(6 + t) (6 - t) > 0

thus, it satisfies the inequality -6 < t < 6

The third domain = (-6,6)

Hence, the domain of the vector function is : ( -6, -2) ∪ ( -2, 6)

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Answer:

y > 2x and x \(\geq\) -2

Step-by-step explanation:

hope this helps (:

Answer:

factor???

Factored Form:  y= (-1)(8x+1)(2x-3)    

Step-by-step explanation:

Answer:

The compound inequality which is used to model the normal rage of pH values of water is:

x>6.5 and x<8.5    (6.5<x<8.5)

Step-by-step explanation:

It is given that:

Normal drinking water needs to have a pH of less than 8.5 and greater than 6.5.

This means that the pH level of the water will lie in the range in between 6.5 and 8.5 excluding them.

Hence, if the pH level is less than or equal to 6.5 or greater than or equal to 8.5 then it could not be used for drinking purpose.

If x represent the pH of the normal drinking water then:

                 6.5 < x < 8.5

i.e. x>6.5 and x<8.5

Answer:

0.66? (0.67 if you rounded it)

Step-by-step explanation:

2*1/3

2/3 = 0.6666666666

The quadrilateral formed by this process will always be a parallelogram

A quadrilateral is simply any polygon that has four sides and four corners.

Common examples are:

A square is drawn at the coordinates:

(0,0), (6,0), (0,6) and (6,6)

The midpoints of the square sides are at the following coordinates:

(0,3), (3,6), (6,3) and (3,0)

When the points of the midpoints are joined together, they form a parallelogram

A trapezoid is drawn at the coordinates:

(0,0), (2,6), (8,6) and (10,0)

The midpoints of the square sides are at the following coordinates:

(5,0), (5,6), (1,3) and (9,3)

When the points of the midpoints are joined together, they form a parallelogram

Hence, the quadrilateral formed by this process will always be a parallelogram

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Answer:

-7+4=-3

(-7+4)=-3

3(3)=9

According to the given condition, the correct expressions is:

cotαcotβ−1

Trigonometric equations are mathematical equations that involve trigonometric functions, such as sine, cosine, tangent, cotangent, secant, or cosecant, and their variables. Trigonometric equations typically involve finding the values of the unknowns that satisfy the given equation, subject to certain restrictions or conditions on the domain of the trigonometric functions.

According to the given information:

Using trigonometric identities, we can simplify the expression cos(α−β)cosαcosβ:

cos(α−β)cosαcosβ = cos(α−β) * (cosα * cosβ)

Next, we can use the identity cos(α−β) = cosαcosβ + sinαsinβ to substitute into the expression:

cos(α−β)cosαcosβ = (cosαcosβ + sinαsinβ) * (cosα * cosβ)

Now, we can distribute and simplify:

cos(α−β)cosαcosβ = cosα² * cosβ² + sinαsinβ * cosα * cosβ

Finally, using the identity cotα = 1/tanα, we can rewrite the expression as:

cos(α−β)cosαcosβ = cotαcotβ - 1

So, the equivalent expression is cotαcotβ - 1.

Therefore, according to the given condition. The correct answer is:

cotαcotβ−1

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Answer: 152,500

hope it helps

Answer:

152500

Step-by-step explanation:

152000

+     500

152500

Hope this helps!

Answer:

50 soldiers must be transferred elsewhere.

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

As the number of soldiers decrease, the provisions last for more time. This means that the measures are inversely proportional, and we have an inverse rule of three, using line multiplication, instead of cross.

30 days of provisions - 200 soldiers

40 days of provisions - x soldiers

\(40x = 200*30\)

Simplifying by 40

\(x = 5*30 = 150\)

The provisions will last for 40 days with 150 soldiers, which means that 200 - 150 = 50 soldiers must be transferred elsewhere.

Answer:

y = 64/3

x = -119/3

Step-by-step explanation:

3х + 6у = 9 => 5*3x+5*6у = 9*5 => 15x+30у=45 (1)

5х + 7y = -49 => 3*5x + 3*7y = -49*3 => 15x+21y=-147 (2)

(1)-(2) => 9y = 192 => y = 64/3

x = -119/3

Answer:

\( log_{3}( {x}^{3} + {2x}^{2})\)

Answer:

Answer:

log_{3}( {x}^{3} + {2x}^{2})log

3

(x

3

+2x

2

Answer:

\(\frac{612}{999}\)

Step-by-step explanation:

To convert repeating decimals to fractions, you take the numbers that are repeating, in this case 612, and you see how many numbers are repeating. Here we have 3 numbers repeating and so you would divide 612 by 3 9's meaning 999. So 0.612 repeating is equal to \(\frac{612}{999}\). To make sure the answer is right, you can divide the numbers in a calculator to make sure you get the correct decimal.

(a) Y is a random variable that is independent of X and E.

(b) The variance of Y cannot be calculated

(a) If X and E are independent random variables and Y = 8 + 4X + E, then Y is a linear combination of X and E:

Y = 8 + 4X + E = c + 4X + (E - c)

where c is a fixed number. As a result, Y is a random variable that is independent of X and E.

(b) If X and E are not independent and E = U, a random variable independent of X, then Y may be written as follows:

Y = 8 + 4X + U

As a result, Y is a random variable that is a function of X and U but is not independent of X and U. To calculate the variance of Y, we require the covariance between X and U as well as the variances of X and U. The variance of Y cannot be calculated without furthur information.

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The most economical plan for Deb Bishop Health and Beauty Products is Plan C with a total cost of $151,900

To develop an aggregate plan for the next four quarters, we need to calculate the total cost of each plan based on the given costs and forecast. Here are the steps for each plan:

Plan A - Hiring and layoffs based on the prior quarter

Quarter Forecast Output Inventory Stock-out Hiring Layoff Unit Cost Overtime Subcontracting Total Cost 1 1,400 1,400 100 0 0 0 42,000 0 0 42,000 2 1,200 1,200 300 0 0 80 36,000 0 0 36,080 3 1,500 1,500 0 0 120 0 45,000 0 0 45,120 4 1,300 1,300 200 0 0 80 39,000 0 0 39,080 Total Cost - - - - - - - - - $162,280

Plan B - Holding employment steady

Quarter Forecast Output Inventory Stock-out Hiring Layoff Unit Cost Overtime Subcontracting Total Cost 1 1,400 1,500 -10050=5,00010=50030=15,00015=7,50060=9,00050=2,500 2 1,200 3 1,500 4 1,300 Total Cost - - - - - - - - - $178,000

Plan C - Level production of 900 per quarter with overtime and subcontracting

Quarter Forecast Output Inventory Stock-out Hiring Layoff Unit Cost Overtime Subcontracting Total Cost 1 1,400 900 +200 +300 =140010=10030=27,00015=3,00060=18,000*50=15,000 2 1,200 3 1,500 4 1,300 Total Cost - - - - - - - - - $151,900

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