find the product 8x(2x^2+8x-5)

Answer:se

Step-by-step explanation:

Answer:

132 people bought balcony tickets and 450 bout ground tickets

Step-by-step explanation:

let x be balcony and y for ground

x+y=582

15x+10y=6480  solve by adding(subtracting)/eliminating process

multiply first equation by 15 to eliminate x:

15x+15y=8730

15x+10y=6480      subtract

15x+15y-15x-10y=8730-6480

5y=2250

y=2250/5=450

x+y=582

x=582-450=132

Answer:

Second Answer

Step-by-step explanation:

Answer:

8n6

step by step explanation.

Answer:

It takes the crew 12 days to clear the bush.

Step-by-step explanation:

Given clears 2/3 acres / 2 days, or 1/3 acre per day

Time to clear 4 acres

= 4 / (1/3)

= 4 * (3/1)

= 12 days

Answer:

cosΘ = - [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

Given that Θ is in the third quadrant then cosΘ < 0

Given

tanΘ = [tex]\frac{5}{12}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

Then 5 and 12 are the legs of a right triangle (5- 12- 13 ) with hypotenuse = 13

Thus

cosΘ = - [tex]\frac{adjacent}{hypotenuse}[/tex] = - [tex]\frac{12}{13}[/tex]

Answer:

A) Null Hypothesis;H0: μ = 5

Alternative Hypothesis;Ha: μ ≠ 5

B) test statistic = -2.1226

C) p-value = 0.0598

D) Option A is correct

Step-by-step explanation:

We are given;

x = 4.52 minutes

s = 0.75 minutes

μ = 5 minutes

n = 11

degree of freedom = n - 1 = 11 - 1 = 10

A) The hypotheses are;

Null Hypothesis;H0: μ = 5

Alternative Hypothesis;Ha: μ ≠ 5

B) t-statistic = (x - μ)/(s/√n)

(4.52 - 5)/(0.75/√11) = -2.1226

C) From the t-score calculator results attached, the p-value is approximately 0.0598.

D) The P-value of 0.0598 is is greater than the significance level of 0.01, thus we fail to reject the null hypothesis, and we say that the result is statistically nonsignificant. So option A is correct.

Answer:

x = -6 and x = 4

Step-by-step explanation:

In math, the critical points of a function are the points where the derivative equals zero.

So, first we will find the derivative of the function. The derivative is:

[tex]f'(x)=3x^2 +6x-72[/tex]

Now, we are going to make the derivative equal zero and find the answers of the equation.

[tex]3x^2 +6x-72=0\\3(x^2 +2x-24)=0\\3(x+6)(x-4)=0\\[/tex]

So we have that the critical points are the answers to this equation:

[tex]x+6= 0 \\x= - 6[/tex]

and

[tex]x-4=0\\x=4[/tex]

Thus, the critical points are x=-6 and x=4

Using it's concept, it is found that the critical numbers of the function are:

x = -6 and x = 4.

The critical numbers of a function f(x) are the values of x for which it's derivative is zero, that is:

[tex]f^{\prime}(x) = 0[/tex]

In this problem, the function is:

[tex]f(x) = x^3 + 3x^2 - 72x[/tex]

The derivative is:

[tex]f^{\prime}(x) = 3x^2 + 6x - 72[/tex]

[tex]f^{\prime}(x) = 3(x^2 + 2x - 24)[/tex]

Then:

[tex]f^{\prime}(x) = 0[/tex]

[tex]3(x^2 + 2x - 24) = 0[/tex]

[tex]x^2 + 2x - 24 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 1, b = 2, c = -24[/tex], which we have to solve.

[tex]\Delta = 2^2 - 4(1)(-24) = 100[/tex]

[tex]x_{1} = \frac{-2 + \sqrt{100}}{2} = 4[/tex]

[tex]x_{2} = \frac{-2 - \sqrt{100}}{2} = -6[/tex]

The critical numbers of the function are x = 4 and x = -6.

A similar problem is given at https://brainly.com/question/16944025

Answer:

y=-2

Step-by-step explanation:

5 (y-1)+6= -9

Subtract 6 from each side

5 (y-1)+6-6= -9-6

5 ( y-1) = -15

Divide by 5

5(y-1)/5 = -15/5

y-1 = -3

Add 1 to each side

y-1+1 = -3+1

y = -2

Answer:

1

Step-by-step explanation:

=> [tex]\sqrt[3]{3375} - \sqrt[4]{38416}[/tex]

Factorizing 3375 gives 15 * 15 * 15 which equals 15^3 and factorizing 38416 gives 14 * 14 * 14 * 14 which equals 14^4

=> [tex]\sqrt[3]{15^3} - \sqrt[4]{14^4}[/tex]

=> 15 - 14

=> 1

Answer:

Step-by-step explanation:

[tex] \sqrt[3]{3375} - \sqrt[4]{38416} [/tex]

Calculate the cube root

[tex] \sqrt[3]{ {15}^{3} } - \sqrt[4]{38416} [/tex]

Calculate the root

[tex] \sqrt[3]{ {15}^{3} } - \sqrt[4]{ {14}^{4} } [/tex]

[tex] {15}^{ \frac{3}{3} } - {14}^{ \frac{4}{4} } [/tex]

[tex]15 - 14[/tex]

Subtract the numbers

[tex]1[/tex]

Hope this helps...

Answer:

ΔV = 865.51 mm^3

Step-by-step explanation:

In order to calculate the difference in volume between both baseballs you use the following formula for the volume of a sphere:

[tex]V=\frac{4}{3}\pi r^3[/tex]       (1)

where r is the radius of he sphere.

You calculate the volume of each sphere:

First baseball:

radius = 23.2mm/2 = 11.61mm

[tex]V_1=\frac{4}{3}\pi (11.61mm)^3=6555.18\ mm^3[/tex]

Second baseball:

radius = 24.2mm/2 = 12.1mm

[tex]V_2=\frac{4}{3}\pi (12.10)^3=7420.70\ mm^3[/tex]

Then, the difference in the volumen of both spheres is:

[tex]\Delta V=V_2-V_1=7420\ mm^3-6555.18\ mm^3=865.51\ mm^3[/tex]

Answer: (x^2-1)(x^2+1)=(x-1)(x+1)(x^2+1)

Step-by-step explanation:

(x²+1)(x²-1) are factors of polynomial x4-1 and  x=1,-1, i are the roots of x⁴ − 1.

A polynomial is an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

The given polynomial is Q(x) =  x⁴ − 1.

We can write it as (x²)²-1²

We have a algebraic formula which is

a²-b²=(a+b)(a-b)

Similarly

(x²)²-1²=(x²+1)(x²-1)

Now let us find the roots of factors (x²+1) and (x²-1)

x²+1=x=√-1=i,-i

x²-1=x=1,-1

The multiplicity of the roots is always one.

Hence (x²+1)(x²-1) are factors of polynomial x4-1 and  x=1,-1, i are the roots of x⁴ − 1.

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Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

Perimeter = 128 feet

The width is 24 feet less than the length is written as

w = l - 24

128 = 2l + 2( l - 24)

128 = 2l + 2l - 48

Group like terms

4l = 176

Divide both sides by 4

l = 44

The length is 44 feet

Substitute l = 44 into w = l - 24

w = 44 - 24

w = 20

The width is 20 feet

Hope this helps you

====================================================

Explanation:

Triangle CDA is congruent to triangle CDB. We can use the HL (hypotenuse leg) congruence theorem to prove this. This only works because we have two right triangles.

Since CDA and CDB are congruent, this means their corresponding pieces are the same length. Specifically AD = DB, so

AD+DB = AB

AD+AD = 3

2*AD = 3

AD = 3/2 = 1.5

For triangle CDA, we have AD = 3/2 = 1.5 and CD = sqrt(3). We can use the pythagorean theorem to find the missing side AC

a^2 + b^2 = c^2

(AD)^2 + (CD)^2 = (AC)^2

(3/2)^2 + (sqrt(3))^2 = (AC)^2

9/4 + 3 = (AC)^2

(AC)^2 = 9/4 + 3

(AC)^2 = 9/4 + 12/4

(AC)^2 = 21/4

AC = sqrt(21/4)

AC = sqrt(21)/sqrt(4)

AC = sqrt(21)/2

This is the same as writing (1/2)*sqrt(21) or 0.5*sqrt(21)

Answer:

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points

[tex](3;\ 9)\to x_1=3;\ y_1=9\\(1;\ 1)\to x_2=1;\ y_2=1[/tex]

Substitute:

[tex]m=\dfrac{1-9}{1-3}=\dfrac{-8}{-2}=4[/tex]

Answer:

m=4

Step-by-step explanation:

Slope can be found using the following formula:

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

where [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are points on the line.

We are given the points (3,9) and (1,1). Therefore,

[tex]x_{1}=3\\y_{1}=9 \\x_{2}=1\\y_{2}=1[/tex]

Substitute each value into the formula.

[tex]m=\frac{1-9}{1-3}[/tex]

Subtract in the numerator first.

[tex]m=\frac{-8}{1-3}[/tex]

Subtract in the denominator.

[tex]m=\frac{-8}{-2}[/tex]

Divide.

[tex]m=4[/tex]

The slope of the line is 4.

Answer:

The answer is

Step-by-step explanation:

a + b + c

a = 5 b = - 1 c = - 8

Substitute the values of a , b , c into the above expression

That's

5 + ( - 1) + ( - 8)

5 - 1 - 8

Subtract the numbers

4 - 8

We have the final answer as

Hope this helps you

Answer:

-4

Step-by-step explanation:

5 + - 1 - 8= -4

Answer:

The line that is perpendicular to B has a slope of -1/2

Step-by-step explanation:

First find the slope of line B

m = ( y2-y1)/(x2-x1)

    = (10-0)/(5-0)

    = 10/5

    = 2

Lines that are perpendicular have slopes that multiply to -1

m * 2 = -1

m = -1/2

The line that is perpendicular to B has a slope of -1/2

Answer:

-1/2x

Step-by-step explanation:

Hey there! :)

Well to find the slope of line B we'll use the following formula.

[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

We'll use the points (0,0) and (5,10),

10 - 0 = 10

5 - 0 = 5

Slope = 2x

The slopes of 2 perpendicular lines are reciprocals of each other,

meaning if the slope of line B is 2x then its perpendicular lines slope is -1/2x.

Hope this helps :)

Answer:

a) 17.6 + 5.4i

b) 37.6

Step-by-step explanation:

a) (9 + 9.4i) + (8.6 - 4i)

Collect like terms:

9 + 8.6 + 9.4i - 4i

= 17.6 + 5.4i

b) (9.4i)(-4i)

Expand the brackets:

9.4 * -4 * i *  i

[tex]i = \sqrt{-1}[/tex]

Therefore, i * i = -1

=> (9.4i)(-4i) = -37.6 * -1

= 37.6

Answer:

To make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.

To make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.

To make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.

see explanation below

Step-by-step explanation:

If the ingredients to make 1 pancake is as follows:

1 1/2  cups all-purpose flour; 31/2 teaspoons baking powder; 1 teaspoon salt.

1 tablespoon white sugar.; 1 1/4 cups milk; 1 egg; and 3 tablespoons butter.

Then to make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.

cups all-purpose flour =16× 1 1/2

=  16×3/2 = 24

teaspoons baking powder = 16 ×7/2 = 56

teaspoon salt = 1×16 = 16

tablespoon white sugar= 1×16 = 16

cups milk= 16×5/4 = 20

egg= 1×16 = 16

tablespoons butter= 3×16 = 48

Then to make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.

cups all-purpose flour =4× 1 1/2

=  4×3/2 = 6

teaspoons baking powder = 4 ×7/2 =14

teaspoon salt = 1×4 = 4

tablespoon white sugar= 1×4 = 4

cups milk= 4×5/4 = 5

egg= 1×4 = 4

tablespoons butter= 3×4 = 12

Then to make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.

cups all-purpose flour =12× 1 1/2

=  12×3/2 = 18

teaspoons baking powder = 12 ×7/2 =42

teaspoon salt = 1×12 = 12

tablespoon white sugar= 1×12 = 12

cups milk= 12×5/4 = 15

egg= 1×12 = 12

tablespoons butter= 3×12 = 36

The operation applied is multiplication with each fraction.

Answer:

The 98% confidence interval for the difference of the mean amount of June precipitation in Michigan cities and Ohio cities is (-1.77, 0.29).

Step-by-step explanation:

The (1 - α)% confidence interval for the difference between two population mean is:

[tex]CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2, (n-1)}\cdot\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}[/tex]

Compute the value of sample means and sample standard deviations from the provided data.

[tex]\bar x_{1}=3.142\\\\\bar x_{2}=3.882\\\\s_{1}=0.4396\\\\s_{2}=0.4283\\n_{1}=n_{2}=5[/tex]

The critical value of t for 98% confidence level and (n - 1) = 4 degrees of freedom is:

[tex]t_{\alpha/2, (n-1)}=t_{0.02/2, 4}=3.747[/tex]

Compute the 98% confidence interval for the difference of the mean amount of June precipitation in Michigan cities and Ohio cities as follows:

[tex]CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2, (n-1)}\cdot\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}[/tex]

     [tex]=(3.142-3.882)\pm3.747\cdot\sqrt{\frac{0.4396^{2}}{5}+\frac{0.4283^{2}}{5}}\\\\=-0.74\pm 1.0285\\\\=(-1.7685, 0.2885)\\\\\approx (-1.77, 0.29)[/tex]

Thus, the 98% confidence interval for the difference of the mean amount of June precipitation in Michigan cities and Ohio cities is (-1.77, 0.29).

Answer:

0.31 ft/s

Step-by-step explanation:

The volume of a cone is given by the formula:

V = πr²h/3

From the question, we are given the diameter and the height to be equal, thus;

r = h/2

Putting h/2 for r into the volume equation, we have;

V = (π(h/2)²h)/3

V = πh³/12

Using implicit derivatives,we have;

dV/dt = (πh²/4)(dh/dt)

From the question, we want to find out how fast is the height of the pile increasing. This is dh/dt.

We have;

dV/dt = 35 ft³/min and h = 12ft

Plugging in the relevant values, we have;

35 = (π×12²/4)(dh/dt)

dh/dt = (35 × 4)/(144 × π)

dh/dt = 0.3095 ft/s ≈ 0.31 ft/s

Answer:

[tex]\boxed{V = 339.12 ft^3}[/tex]

Step-by-step explanation:

V = [tex]\pi r^2 h[/tex]

Where r = 3, h = 12

V = (3.14)(3)²(12)

V = (3.14)(9)(12)

V = 339.12 ft³

Answer:

The histogram for the data is attached below.

Step-by-step explanation:

Arrange the data in ascending order as follows:

S = {291 , 301 , 306 , 307 , 310 , 321 , 326 , 336 , 352 , 357 , 373 , 380 , 385 , 386 , 386 , 386 , 412 , 413 , 418 , 424 , 429 , 429 , 430 , 442 , 443 , 450 , 454 , 467 , 508 , 514}

Compute the range:

[tex]Range=Max.-Min.\\=514-291\\=223[/tex]

Compute the class width:

[tex]Class\ Width =\frac{Range}{No.\ of\ classes}=\frac{223}{8}=27.875\approx 28[/tex]

The classes are as follows:

290 - 318

319 - 347

348 - 376

377 - 405

406 - 434

435 - 463

464 - 492

493 - 521

Compute the frequency distribution as follows:

Class Interval         Frequency

 290 - 318                     5

 319 - 347                      3

 348 - 376                     3                  

 377 - 405                     5

 406 - 434                     7

 435 - 463                     4

 464 - 492                     1

 493 - 521                      2

The histogram for the data is attached below.

Answer:

Beryllium, 2 times

Step-by-step explanation:

1.12×10⁻¹⁰ has a higher exponent than 5.6×10⁻¹¹.

-10 > -11

The ratio between them is:

(1.12×10⁻¹⁰) / (5.6×10⁻¹¹)

(1.12 / 5.6) (10⁻¹⁰ / 10⁻¹¹)

0.2 × 10¹

2

Step-by-step explanation:

The amount left is:

A = A₀ (½)^(t/T)

where A₀ is the initial amount,

t is the amount of time,

and T is the half life.

a) A = 100 g (½)^(250 yr / 68.9 yr)

A = 8.09 g

b) 12.5 g = 100 g (½)^(t / 68.9 yr)

0.125 = (½)^(t / 68.9 yr)

3 = t / 68.9 yr

t = 206.7 yr

25/250 = 1/10

I do not know that much english. I an spanish so I might have done it wrong.

the probability that the horse is at least 25 feet away from all boundary lines is 0.5

To calculate the probability that the horse is at least 25 feet away from all boundary lines in an enclosed pasture that is 150 feet by 200 feet, we need to consider the available space for the horse to roam.

The area of the pasture is given by:

Area = Length * Width = 150 feet * 200 feet = 30,000 square feet

Now, let's consider the area where the horse must stay within at least 25 feet away from all boundary lines. We can imagine this as a rectangular strip along the inner boundary of the pasture, with dimensions reduced by 50 feet on each side.

The dimensions of this rectangular strip would be:

Length = 150 feet - 2 * 25 feet = 100 feet

Width = 200 feet - 2 * 25 feet = 150 feet

The area of this rectangular strip is given by:

Area_strip = Length * Width = 100 feet * 150 feet = 15,000 square feet

Therefore, the probability that the horse is at least 25 feet away from all boundary lines is:

Probability = Area_strip / Area = 15,000 square feet / 30,000 square feet = 0.5

The probability is 0.5 or 50%.

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The question is not written properly! Complete question along with answer and step by step explanation is provided below.

Question:

The charge to rent a trailer is ​$25 for up to 2 hours plus ​$9 per additional hour or portion of an hour.

Find the cost to rent a trailer for 2.8 ​hours, 3 ​hours, and 8.7 hours.

Then graph all ordered​ pairs, (hours,​ cost), for the function.

Answer:

ordered pair = (2.8, 34)

ordered pair = (3, 34)

ordered pair = (8.7, 88)

Step-by-step explanation:

Charge for 2.8 ​hours:

$25 for 2 hours

$9 for 0.8 hour

Total = $25 + $9

Total = $34

ordered pair = (2.8, 34)

Charge for 3 ​hours:

$25 for 2 hours

$9 for 1 hour

Total = $25 + $9

Total = $34

ordered pair = (3, 34)

Charge for 8.7 ​hours:

$25 for 2 hours

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 0.7 hour

Total = $25 + $9 + $9 + $9 + $9 + $9 + $9 + $9

Total = $88

ordered pair = (8.7, 88)

The obtained ordered pairs are graphed, please refer to the attached graph.

Answer:

x=10/3

Step-by-step explanation:

isolate the variable

Answer:

1. x = 4

2. x = 10/3

Step-by-step explanation:

1. 3x - 5 = 3 + x

3x - x = 3 + 5

2x = 8

x = 4

2. x/2 + 5/9 = 2x/3

(x/2 + 5/9) * 18 = (2x/3) * 18

9x + 10 = 12x

10 = 12x - 9x

10 = 3x

x = 10/3

Answer:

G 10

Step-by-step explanation:

2*3x+3*2x+15=135 inches

6x+6x=120 inches

12x=120 inches

x= 10 inches

Answer:

36.1683

Step-by-step explanation:

45*80.374/100=