a delivery company accepts rectangular boxes the sum of whose length and girth (perimeter of a cross-section) does not exceed 108 in. find the dimensions of an acceptable boc

On solving the provided question, we can say that the quadratic equation is  y = 5x² - 9x + 3 this quadratic equation can not factorized further

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

the quadratic equation is

y = 5x² - 9x + 3

this quadratic equation can not factorized further

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Answer:

x = 33

Step-by-step explanation:

∡ CBE = ∡DBA = 57°

The sum of the interior angles of a triangle results 180°

∡BDA = it´s a right angle = 90°

Then:

57° + 90° + x = 180°

147° + x = 180°

x = 180° - 147°

x = 33°

Answer:

Step-by-step explanation:\(2\frac{4}{3}.a\frac{4}{3}\)

Answer:

Step-by-step explanation:

D = 28m

Radius = 14m

volume of cylinder is \(\pi r^{2} h\) =\(770m^{3}\)

\(\pi *14^{2}*h\) = \(770m^{3}\)

\(615.75 * h\) = 770

H=\(\frac{770}{615.75}\)

H=1.25

it means approximately 1.25m

Using the simple interest formula, Mr. Solo received $26 interest.

In the given question we have to find how much interest Mr. Solo received.

The investment(P) = $325.

Interest rate(R) = 8%

Time(T) = 1 year

Finding the interest using the simple interest formula.

I = PRT/100

where I = interest

P = Principal Amount

T = Time

R = Interest Rate

Putting the value

I = 325*8*1/100

I = 26

Hence, Mr. Solo received $26 interest.

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Your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.

To calculate the monthly payment for a motorcycle loan, we can use the formula for the present value of an annuity. The formula is:

PMT = PV * r / (1 - (1 + r)^(-n))

Where:
PMT = Monthly payment
PV = Present value of the loan
r = Monthly interest rate
n = Number of months

In this case, the present value of the loan (PV) is $7,200, the monthly interest rate (r) is 5.54% divided by 12 (0.0554 / 12), and the number of months (n) is 60.

Plugging in these values into the formula, we get:

PMT = 7200 * (0.0554 / 12) / (1 - (1 + (0.0554 / 12))^(-60))

Evaluating this expression, the monthly payment comes out to be approximately $136.88.

Therefore, your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.

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Answer:

\(183 ft^{2}\)

Step-by-step explanation:

SA = bh + 2ls + lb

b = 6

h = 5

l = 9

s = 5.5

SA= (6 x 5) + 2(9 x 5.5) + (9 x 6)

SA = 30 + 2 x 49.5 + 54

SA = 30 + 99 + 54

SA = 183

The polynomial is:

\(p(x) = 1*(x + 5)*(x - 3)*(x - 6)*(x + 2)*(x + 2)*(x + 2)\)

Third option is the correct one.

A polynomial of degree n, with leading coefficients a and known roots is:

\(P(x) = a*(x - x_1)*(x - x_2)*...*(x - x_n)\)

If the leading coefficient is 1, then:

a = 1

And the roots are:

-5, 3, and 6 with a multiplicity of 1 (so these appear only one time).

-2 with a multiplicity of 3 (so that root appears 3 times).

Then the polynomial is:

\(p(x) = 1*(x + 5)*(x - 3)*(x - 6)*(x + 2)*(x + 2)*(x + 2)\)

This is the third option, so that is the correct option.

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A. x= 4

Step-by-step explanation:

|x|-7 = -3

x = -3 +7

|x|= 4

x= 4

x=-4

Answer: T = 0.25x + 50, where x represents the number of chirps in 1 minute.

Step-by-step explanation:

The first four terms of the recursive sequence in this problem are given as follows:

12, 13, 15, 19.

The recursive sequence in the context of this problem is defined as follows:

\(a_n = 2a_{n - 1} - 11\)

The first term is given as follows:

\(a_1 = 12\)

The second term is then given as follows:

2(12) - 11 = 13.

The third term is then given as follows:

2(13) - 11 = 15.

The fourth term is then given as follows:

2(15) - 11 = 19.

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Answer:

1/3

Step-by-step explanation:

2/8 ÷ 3/4

Copy dot flip

2/8 * 4/3

Simplify

2*4  / (8*3)

8/24

1/3

Answer:

0.333333333333 should be the answer, hope this helps!

Answer:

x = 94

Step-by-step explanation:

The sum of the 4 angles in a quadrilateral = 360°

Sum the 4 angles and equate to 360

x + x + 2x - 75 + x - 35 = 360

5x - 110 = 360 ( add 110 to both sides )

5x = 470 ( divide both sides by 5 )

x = 94

Answer:

Greenland.

North America.

South America.

Europe.

The Middle East.

North Africa.

Sub- Saharan Africa.

Asia.

Step-by-step explanation:

The solution to 4 is a>-162. This is because the inequality can be rewritten as -162 > -21, meaning that any number greater than -162 will satisfy the inequality.

Inequality is the unequal distribution of opportunities, resources, or rights among people or groups. It can be found in wealth, income, health, education, access to services and resources, and legal rights. Inequality is a social phenomenon that affects people differently depending on race, gender, age, or background. Inequality can be a result of unequal access to resources, differences in power dynamics, or the unequal distribution of resources among people or groups. It can lead to disparities in health, education, and economic outcomes for those who experience it. Inequality can be addressed through policies that promote equity and inclusion, such as targeted education initiatives and access to employment opportunities.

The reason this is happening is because when solving inequalities, we must isolate the variable on one side of the inequality sign. In this case, we can do this by adding 162 to both sides of the inequality. This will move the -21 to the other side and the result is a>-162.

In order to ensure that the solution is correct, it is important to check the answer by substituting a value larger than -162 into the inequality. If the value satisfies the inequality, then the solution is correct.

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The sοlutiοn tο 4 is a>-162. This is because the inequality can be rewritten as -162 > -21, meaning that any number greater than -162 will satisfy the inequality.

Inequality is the unequal distributiοn οf οppοrtunities, resοurces, οr rights amοng peοple οr grοups. It can be fοund in wealth, incοme, health, educatiοn, access tο services and resοurces, and legal rights. Inequality is a sοcial phenοmenοn that affects peοple differently depending οn race, gender, age, οr backgrοund. Inequality can be a result οf unequal access tο resοurces, differences in pοwer dynamics, οr the unequal distributiοn οf resοurces amοng peοple οr grοups. It can lead tο disparities in health, educatiοn, and ecοnοmic οutcοmes fοr thοse whο experience it. Inequality can be addressed thrοugh pοlicies that prοmοte equity and inclusiοn, such as targeted educatiοn initiatives and access tο emplοyment οppοrtunities.

The reasοn this is happening is because when sοlving inequalities, we must isοlate the variable οn οne side οf the inequality sign. In this case, we can dο this by adding 162 tο bοth sides οf the inequality. This will mοve the -21 tο the οther side and the result is a>-162.

In οrder tο ensure that the sοlutiοn is cοrrect, it is impοrtant tο check the answer by substituting a value larger than -162 intο the inequality. If the value satisfies the inequality, then the sοlutiοn is cοrrect.

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Complete question:

What is the solution to 3/4a>-16?

a>-21 1/3

a<-21 1/3

a>21 1/3

a<21 1/3

By using a number line to plot –3, 1, and 3, the statements which are true include the following:

1 < 3

–3 < 1

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which is composed of both positive and negative numbers that are placed at equal intervals along its length.

Additionally, a number line typically decreases in numerical value towards the left from zero (0) and increases in numerical value towards the right from zero (0).

In order to place the given numbers on a number line, we would rearrange the numbers in an ascending order (from least to greatest) as shown below:

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Answer:

Step-by-step explanation:

CD = 15, so we have the hypotenuse.

DF = 18, but we can find a leg by 18/2 which is 9

using our pyth. theorem, 15^2=9^2+CG^2

CG = 12

Hope this helped

M a t h w a y will help you my friend!

I was struggling with math and using it got me get back on track :)

Answer:

it is 0.55 > 1/2

Explanation:

Because 1/2 in decimal form is 0.50.

Answer:

Step-by-step explanation:

R+Q=180

12x-6=180-114

12x=66-6

12x=60

x=5

It will be nice if you give me brainliest. Good luck!

Answer:

8

Step-by-step explanation:

8

Answer:

were is tha problem

Step-by-step explanation:

Answer:

we need the choices brotha

Step-by-step explanation:

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer:

a is the right answer

Step-by-step explanation:

becuse i took the text

The value of limit,

\(\lim_{x \to -3}\) [(x-3)/(x² - 9)] = ∞

Hence option C is correct.

We have to evaluate,

\(\lim_{x \to -3}\) [(x-3)/(x² - 9)]

Since we know that,

A function may approach one of two limits: either the limit is reached by the variable having values more than the limit, or the limit is reached by the variable having values less than the limit. The right and left-hand limitations still exist even if the limit is not specified in this situation.

Since,

(a² - b²) = (a-b)(a+b)

Therefore,

W e can write the expression as

    \(\lim_{x \to -3}\) [(x-3)/(x² - 3²)]

=   \(\lim_{x \to -3}\) [(x-3)/(x - 3)(x+3)]

=   \(\lim_{x \to -3}\) [1/(x+3)]

Now apply the limit,

so put x = -3 we get,

= [1/(-3+3)]

= 1/0

= ∞

Hence,

\(\lim_{x \to -3}\) [(x-3)/(x² - 9)] = ∞

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The complete question is attached below:

Answer:

Hi... You should do like this

The time taken by the rocket to reach its maximum height is 3.25 seconds. The maximum height reached by the rocket is 174 feet.

A toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 104 feet per second. The height h, in feet, of the rocket above the ground at "t" seconds after launch is given by the function h(t) = -16t² + 104t + 5. We need to calculate the time taken by the rocket to reach its maximum height and the maximum height.

Let the time taken and the maximum height be denoted by the variables "T" and "H". We will differentiate the given function to get the velocity of the rocket as a function of time.

v(t) = (d/dt)h(t)

v(t) = (d/dt)(-16t² + 104t + 5)

v(t) = -32t + 104

The velocity of the rocket must be equal to zero when it reaches its maximum height.

v(t) = 0

-32t + 104 = 0

32t = 104

t = 3.25

Hence, the time taken to reach the maximum height is 3.25 seconds.

The maximum height is calculated below.

H = h(3.25)

H = -16*(3.25)² + 104*(3.25) + 5

H = -16*10.5625 + 338 + 5

H = -169 + 343

H = 174

Hence, the maximum height reached by the rocket is 174 feet.

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Step-by-step explanation:

I don't know how to explain but the answer might be like this

True. The multiplicity of a root r of the characteristic equation of matrix A is indeed called the algebraic multiplicity of r as an eigenvalue of A.

The characteristic equation of a square matrix A is obtained by subtracting λI (where λ is an eigenvalue and I is the identity matrix) from A and taking its determinant. The roots of this equation are the eigenvalues of matrix A.

The algebraic multiplicity of an eigenvalue r refers to the number of times r appears as a root of the characteristic equation. In other words, it represents the multiplicity of r as a solution of the equation.

The algebraic multiplicity provides information about the behavior of the eigenvalue r within the matrix A. If the algebraic multiplicity of r is greater than 1, it means that r is a repeated eigenvalue and there exist multiple linearly independent eigenvectors associated with it. On the other hand, if the algebraic multiplicity is 1, r is a simple eigenvalue, indicating that there is only one linearly independent eigenvector corresponding to r.

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Answer:

Step-by-step explanation:g(-3) = 3(-3) = -9

f(g(-3)) = f(-9) = 2(-9) -1 = -18 -1 = -19