in a race, a man covers 5km in 20 min. how much distance will he cover in 100 min​

Answer:

Step-by-step explanation:

hello :

if x1 and x2 this zero for ax²+bx+c  you have : x1 = 1 /x2  means :x1 × x2 =1

but : x1 × x2 = c /a

in this exercice : a =8  and b = -13  and c = - 4k

so : c/a =-4k/8

so : -4k/8 = 1

-4k = 8        k = 8/-4      k = -2  

this polynomial is : 8x²-13x +8

Answer:

Im pretty sure its 18.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are [tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3[/tex], and the number of systems is:

[tex]N = 6 \times 4 \times 5 \times 3 = 360[/tex]

To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866

Answer:  5(13.5-4.5)

5(9)

=45

Answer:

3x² + 13

Step-by-step explanation:

f(2) = 2(2)² + 3(2) - 9 = 8+6-9 = 5

g(x) = 3x² + 8

added together: 3x² + 8 + 5   =  3x² + 13

Answer:

2x – y = 7   answer for this one is  x-1/2y+7/2  (the '/' is a fraction)

y = 2x + 3 is    x=1/2y+-3/2

Step-by-step explanation:

Answer:

95.60$

Step-by-step explanation:

50% discount is basically the price divided by 2. So if we inverse it it will become x2. 47.80x2=95.6

Answer:

n

Step-by-step expmlanation:

Answer:

10-15 miles I believe

Answer:

The answer is most likely 174.68

Step-by-step explanation:

Using the formula A = (2A_B) + (a + b + c)(h)

we can find the surface area

12 is a and c

5 is b

4 is h

This question was vague so the answer might be incorrect.

Answer:

Se puede resolver el sistema de ecuaciones por sustitución, igualación o determinante. La solución de este sistema es [tex](x,y) = \left(2,\frac{3}{5} \right)[/tex].

Step-by-step explanation:

Sea el sistema de ecuaciones que se describe abajo:

[tex]x+5\cdot y = 5[/tex] (1)

[tex]3\cdot x -5\cdot y = 3[/tex] (2)

Existen por lo menos tres métodos analíticos para la resolución de este sistema de ecuaciones:

(i) Sustitución

Despejamos [tex]x[/tex] en (1):

[tex]x = 5-5\cdot y[/tex]

Aplicamos la expresión resultante en (2):

[tex]3\cdot \left(5-5\cdot y\right)-5\cdot y = 3[/tex]

Luego, resolvemos la ecuación resultante:

[tex]15 - 15\cdot y -5\cdot y = 3[/tex]

[tex]-20\cdot y = -12[/tex]

[tex]y = \frac{3}{5}[/tex]

Luego, determinamos el valor de [tex]x[/tex]:

[tex]x = 2[/tex]

(ii) Igualación

Despejamos [tex]5\cdot y[/tex] en cada expresión:

[tex]5\cdot y = 5 - x[/tex] (3)

[tex]5\cdot y = 3\cdot x - 3[/tex] (4)

Ahora, igualamos (3) y (4) y simplificamos:

[tex]5-x = 3\cdot x -3[/tex]

[tex]4\cdot x = 8[/tex]

[tex]x = 2[/tex]

Finalmente, calculamos [tex]y[/tex] en (3):

[tex]y = 1 - \frac{x}{5}[/tex]

[tex]y = \frac{3}{5}[/tex]

(iii) Determinante

Aplicamos las siguientes fórmulas para determinar cada variable:

[tex]x = \frac{\left|\begin{array}{ccc}5&5\\3&-5\end{array}\right| }{\left|\begin{array}{ccc}1&5\\3&-5\end{array}\right|}[/tex]

[tex]x = \frac{-25-15}{-5-15}[/tex]

[tex]x = 2[/tex]

[tex]y = \frac{\left|\begin{array}{ccc}1&5\\3&3\end{array}\right| }{\left|\begin{array}{ccc}1&5\\3&-5\end{array}\right|}[/tex]

[tex]y = \frac{3-15}{-5-15}[/tex]

[tex]y = \frac{3}{5}[/tex]

Por ende, concluimos que la solución de este sistema es [tex](x,y) = \left(2,\frac{3}{5} \right)[/tex].

La solución de la ecuación x + 5y = 5 y 3x - 5y = 3 es (2, 0.6)

Ecuación

Una ecuación es una expresión utilizada para mostrar la relación entre dos o más números o variables.

Dadas las ecuaciones:

x + 5y = 5 (1)

Y:

3x-5y = 3 (2)

Resolviendo ambas ecuaciones 1 y 2 simultáneamente da:

x = 2, y = 0,6

La solución de la ecuación x + 5y = 5 y 3x - 5y = 3 es (2, 0.6)

Obtenga más información sobre la ecuación en: https://brainly.com/question/13763238

Answer:

You were right the correct option is

- a > - b

Answer:

600 minutes

Step-by-step explanation:

60 minutes in an hour

60 × 10 is 600

Answer:

a. 1.52%

b. There is 95% probability that the true population percentage lies between 53.8$ and 56.62%

Step-by-step explanation:

The number of participants in the sample, n = 4,100

The percentage that watched the particular popular situation episode, p = 55.1%

a. The margin of error is given by the following formula;

[tex]Margin \ of \ Error = Z_{\alpha /2} \times \sqrt{\dfrac{p \times (1 - p)}{n} }[/tex]

Where;

Z = The z-score at 95% = 1.96

p = The proportion of the sample that responded positively = 55.1% = 0.551

n = 4,100

From the above data, we get;

[tex]Margin \ of \ Error = 1.96 \times \sqrt{\dfrac{0.551 \times (1 - 0.551)}{4,100} } \approx 0.0152252[/tex]

The margin of Error ≈ 1.52%

b. The confidence interval is give as follows;

[tex]p \pm Z_{\alpha /2} \times \sqrt{\dfrac{p \times (1 - p)}{n} }[/tex]

Therefore, we get the 95% confidence interval as follows'

55.1 - 1.52 ≤ μ ≤ 55.1 + 1.52

53.8%  ≤ μ ≤ 56.62%

The answer as formatted in an online source is presented as follows;

There is 95% probability that the true population percentage lies between 53.8$ and 56.62%.

Step-by-step explanation:

So in order to solve, you have to set the equation equal to zero by subtracting 27 from both sides. You'll end up with x^2 + 6x -27 = 0.

Now, we can use the quadratic formula to solve.

I attached it below.

Your a value will be 1, the b value is +6, and the c value is -27.

Plug into the formula and then solve. :)

Answer:

Percent markup is 200%

Step-by-step explanation:

The cost of each stylus is

[tex]\frac{400}{200} = 2[/tex] dollars

The selling price of each stylus is $6

Percent markup  =

(Selling price - cost price)/cost price *100

[tex]\frac{6-2}{2} *100\\2*100\\200[/tex]%

Percent markup is 200%

Answer:

9.) The Outlier is 18

-The outlier is the number that stands out and is different

Answer: m<DCB= 50 degrees

Step-by-step explanation:

120= (15x+5)+(22x+4)

120= 37x+9

111= 37x

x=3

15(3)+5

45+5=

50

Answer:

a) [tex]p = 88\,cm[/tex], b) [tex]p = 24\,cm[/tex], c) [tex]p \approx 25.424\,m[/tex], d) [tex]p \approx 39.368\,cm[/tex]

Step-by-step explanation:

a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:

[tex]p = 3\times 8\,cm + 2\times 4\,cm +2\times 20\,cm + 16\,cm[/tex]

[tex]p = 88\,cm[/tex]

b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:

[tex]p = 2\times 4\,cm + 2\times 6\,cm + 4\,cm[/tex]

[tex]p = 24\,cm[/tex]

c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:

[tex]p = \frac{\pi}{2}\times 6\,cm + 8\,cm + 6\,cm + 2\,cm[/tex]

[tex]p \approx 25.424\,m[/tex]

d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:

[tex]p = 10\,cm + 12\,cm + 12\,cm + 12\,cm - \sqrt{(12\,cm)^{2}-(10\,cm)^{2}}[/tex]

[tex]p \approx 39.368\,cm[/tex]

Answer:

x=3

Step-by-step explanation:

If all of the angles and sides are congruent, then you would just subtract 7 by 4 and get 3 for x.

Step-by-step explanation:

n/6 > 2

x6. x6

n > 12

hope this helps

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] × [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms

r = [tex]\frac{384}{512}[/tex] = [tex]\frac{288}{384}[/tex] = [tex]\frac{216}{288}[/tex] = [tex]\frac{3}{4}[/tex] , then recursive formula is

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] × [tex]\frac{3}{4}[/tex] : a₁ = 512

Answer:

A reflection over the x axis

Step-by-step explanation:

With the x axis you flip it down or up

With the y you flip it to the left or to the right

Answer:

120 inches of strands

Step-by-step explanation:

finding the diagonal

=[tex]\sqrt{(100+576)}[/tex]

= 26 inches

perimeter of the window = 2(10+24)

                                         = 68 inches

  total strands needed to be purchased = [(2×26)+68] inches

                                                                   = 120 inches of strands

Answer:

× + 3902.00 = 25litres

Step-by-step explanation:

x per litres

25÷ xlitres = 3902pesos

Answer:

The volume of the box is 33.796 cubic inches

Step-by-step explanation:

Given

[tex]Height = 7in[/tex]

See attachment for the base of the prism

Required

The volume of the box

From the attachment, we have:

[tex]a = 1in[/tex] -- side length of the octagon

The area is then calculated as:

[tex]Area = 2 * (1 + \sqrt 2)a^2[/tex]

So, we have:

[tex]Area = 2 * (1 + \sqrt 2)* 1^2[/tex]

[tex]Area = 2 * (1 + \sqrt 2)* 1[/tex]

[tex]Area = 2 * (1 + \sqrt 2)[/tex]

Evaluate the square root

[tex]Area = 2 * (1 + 1.414)[/tex]

[tex]Area = 2 * (2.414)[/tex]

[tex]Area = 4.828[/tex]

The volume is then calculated as:

[tex]Volume = Height * Base\ Area[/tex]

[tex]Volume = 7 * 4.828[/tex]

[tex]Volume = 33.796[/tex]

Answer:

287 is the right answer

Step-by-step explanation:

Hopes this helps.

Answer:

A ≈ 132.73

Step-by-step explanation:

If you have any questions feel free to ask in the comments

Answer:

$126

Step-by-step explanation:

We solve using Compound Interest formula

For Matthew

Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded monthly.

P = $4700

R = 3 3/8 % = 3.375 %

t = 14 years

n = Compounded Monthly = 12

Hence,

First, convert R as a percent to r as a decimal

r = R/100

r = 3.375/100

r = 0.03375 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 4,700.00(1 + 0.03375/12)^(12)(14)

A = 4,700.00(1 + 0.0028125)^(168)

A = $7,533.80

For Peyton, we are using a different compound interest formula because it is compounded continuously

Peyton invested $4,700 in an account paying an interest rate of 3 1/4%

compounded continuously.

P = $4700

R = 3 1/4 % = 3.25%

t = 14 years

n = Compounded continuously

First, convert R as a percent to r as a decimal

r = R/100

r = 3.25/100

r = 0.0325 rate per year,

Then solve the equation for A

A = Pe^rt

A = 4,700.00e^(0.0325)(14)

A = $7,408.01

After 14 years, the amount of money Matthew would have in his account than Peyton, to the nearest dollar is calculated as:

$7,533.80 - $7,408.01

= $125.79

Approximately = $126 to the nearest dollar

Answer:

126

Step-by-step explanation:

126 to the nearest dollar

Answer:

irrational

Step-by-step explanation:

pi is irrational, so even thought sqrt(4) is rational, this product is irrational.

Answer:

3,760,128

Step-by-step explanation:

v = whl. process for volume of the bin