i need some help plz ​

Answer:

El lado del cuadrado inicial es 17 m.

Step-by-step explanation:

El área de un rectángulo se calcula a partir de los dos lados diferentes. Siendo a y b el valor de ambos lados, el área de la figura es el producto de los dos lados contiguos del rectángulo.

A los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectángulo es 440 m². Siendo x el lado del cuadrado inicial, entonces el área del rectángulo se puede expresar como:

(x+3)*(x+5)= 440 m²

Resolviendo:

x*x + 5*x + 3*X + 3*5= 440

x² + 8*x + 15=440

x² + 8*x + 15 -440= 0

x² + 8*x -425= 0

Una función cuadrática de la forma a*x² + b*x + c= 0 se puede resolver mediante la expresión:

[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

En este caso, a=1, b=8 y c=425. Reemplazando:

[tex]\frac{-8+-\sqrt{8^{2}-4*1*(-425) } }{2*1}[/tex]

Resolviendo:

[tex]\frac{-8+\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8+\sqrt{64+1700} }{2*1}= \frac{-8+\sqrt{1764 } }{2}= \frac{-8+42 }{2}= \frac{34}{2} = 17[/tex]

y

[tex]\frac{-8-\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8-\sqrt{64+1700} }{2*1}= \frac{-8-\sqrt{1764 } }{2}= \frac{-8-42 }{2}= \frac{-50}{2} = -25[/tex]

Como las longitudes no pueden ser negativas, el lado del cuadrado inicial es 17 m.

Answer:

Step-by-step explanation:

2.4*10^4*10^3*4.5

=10.8*10^4+3

=10.8*10^8

=10.8*100000000

=1080000000

Answer:

$ 656.1

Step-by-step explanation:

a = 1000(1 - .1)^4

a = 1000(.9)^4

a = 656.1

Answer:

-1/2y

Step-by-step explanation:

2/4  =  1/2

Answer:

=6 times 8q+6

=6(8q+1)

Step-by-step explanation:

Answer:

I am guessing C

Step-by-step explanation:

Hi there!

[tex]\large\boxed{g(f(t))(-4) = 193}[/tex]

Find g(f(t))(-4) by substituting in f(t) for t into g(t):

g(f(t))(t) = (-3t³ - 1) + 2

Simplify:

g(f(t))(t) = -3t³ + 1

Substitute in -4 for t:

g(f(t))(-4) = -3(-4)³ + 1 = 193

Answer:

(a) Attached to this response.

(b)

(i) 0 cups = 0.275

(ii) 4 cups = 0.125

(iii) 8 cups = 0.025

Step-by-step explanation:

(a) The frequency and relative frequency table has been attached to this response.

i. The first column, labelled x, is the number of cups of coffee consumed per day.

ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.

For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.

iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).

For example, the relative frequency of 2 cups of coffee is given by:

r = 7  ÷ 40 = 0.175

Also, the relative frequency of 4 cups of coffee is given by;

r = 5 ÷ 40 = 0.125

(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;

Pₓ = frequency of x ÷ total frequency

This is also the relative frequency of x

Therefore,

(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;

the relative frequency of 0 = 0.275

(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;

the relative frequency of 4 = 0.125

(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;

the relative frequency of 8 = 0.025

Answer:

The dragonfly is 20.5 feet per second faster

Step-by-step explanation:

Answer:

Step-by-step explanation:

Speed of butterfly:

Speed of dragonfly:

The difference:

Correct choice is A

Answer:

x = 15

Step-by-step explanation:

cross multiply -->

8x = 120 *divide by 8 on both sides*

x = 15

CHECK:

5/8 + 15/24

multiply by 3 to get the second fraction

Answer:

x=15

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

By substituting the values in the given expression,

7² = x² + 2²

49 = x² + 4

x² = 49 - 4

x² = 45

x = √45

x = 3√5

x = 6.7 ft

Option B will be the correct option.

Answer:

Zeros would be x= 0, -2

Step-by-step explanation:

hope this helps :)

Answer:

y = -2x + 1

Step-by-step explanation:

Parallel lines are two lines that have the same plane and slope but never intersect.

Answer:

[tex]\frac{7^2 * 7^{3} * z^5}{z^3 * 10}\\\\= \frac{7^5 * z^2}{10}\\\\= \frac{16805z^2}{10}[/tex]

I'm not sure if it's correct

Answer:

-0.708073 this is the exact answer im not sure if they want you to round or not

Step-by-step explanation:

Answer:

4+x=-3+2x

4+3=2x-x

7=x

9x=9*7

=63

Step-by-step explanation:

Answer:

[tex]4 + x = - 3 + 2x \\ x - 2x = - 3 - 4 \\ - x = - 7 \\ x = 7 \\ therefore = \\ 9x = 9 \times 7 \\ 9x = 63 \\ i \: hope \: this \: was \: helpful [/tex]

Answer:

zero

Step-by-step explanation:

y = - 3 is a horizontal line parallel to the x- axis.

Since it is parallel to the x- axis it has a slope of zero

Answer:

zero

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

Answer:

Joe: 3 hrs

Janet: 6hrs

Step-by-step explanation:

joe takes x hours

so in 1 hr he does 1/x of the garden

janet takes 2x hours

so in 1 hr she does 1/(2x) of the garden

In one hour together they do 1/2 of the garden

1/x + 1/(2x) = 1/2

2/(2x) + 1/(2x) = 1/2

3/(2x) = 1/2

Cross multiply

6 = 2x

x = 3

Joe: 3 hrs

Janet: 6hrs

1 $ = 100 cents

1.5 $ = 150 cents

1.50 $ a percentage of 200 cents = (150/200)100= 75%

Answer:

C

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

E represents the number of moths initially with the darkest wing colour, and the number of these will increase if the moth's predator (hawks) finds it more difficult to locate them, as the moths with the darkest colour wings will be more likely to survive to reproduce so will increase in number (natural selection).

Hope this helps!

Answer:

12x+8-30x+5=2x-16-42x+24

-18x+13=-40x+8

22x=-5

x=-5/22

hopefully i did it with out mistakes

Answer:

how do you plot?

Step-by-step explanation:

To the top right quadrant, the second bottom square, moving 4 units up.

Answer:

Step-by-step explanation:

Given,

Time taken (t) = 10 - 6 = 4hrs

Water decreased (V) = 24000l - 18000l = 6000l

Now,

average rate of decrase (Avg) = V/t = 6000l/4 =1500 L/h

Answer:

7 + 7 = 14(given lengths)

34(total length) - 14(given length) = 20

20 divided by 2(2 missing slots) = 10

Answer:

10 in

Step-by-step explanation:

formula for perimeter:2 (l + b)

perimeter=34 in

2 ( l + 7 ) = 34

2l + 14 = 34

2l = 34 - 14

l = 20 ÷ 2

l = 10 in

Answer:

z = 3.2 units

Step-by-step explanation:

sin 76°/z = sin 51°/2.6

cross-multiply to get:

z·(sin 51°) = 2.6·(sin 76°)

z = 2.6·(sin 76°) ÷ (sin 51°)

z = 3.2

Answer:

You were so worried about somebody guessing

you forgot to ask a question!

Step-by-step explanation:

Answer:

710 ft

Step-by-step explanation:

8750 - 5200 = 3550

3550 / 5 = 710