Evaluate 5c – 3d + 11 when c= 7 and d= 8.

Answer:

A las 12:57 horas habrá 128 bacterias en el recipiente.

Step-by-step explanation:

Una función exponencial es aquella en que la variable independiente x aparece en el exponente y tiene de base una constante a. Su expresión es:

f(x)= aˣ

Siendo a un real positivo, a > 0, y diferente de 1.

Cuando 0 < a < 1, entonces la función exponencial es una función decreciente y cuando a > 1, es una función creciente.

Algunos tipos de bacterias se reproducen por "mitosis", dividiéndose la célula en dos cada espacios de tiempo pequeños, como sucede en este caso. Entonces, "a" tendrá un valor de 2, que es la cantidad en la que se divide la bacteria, y "x" será los intervalos de tiempo. Si hay 128 bacterias en el recipiente, la expresión exponencial del crecimiento de la bacteria en x intervalo de tiempo será:

2ˣ= 128

Una manera de resolver la x es aplicando logaritmos. Entonces, aplicando el logaritmo común de ambos lados. (Cuando la base no está escrita, se trata de la base 10):

log (2ˣ) = log (128)

Aplicando la propiedad de la potencia de los logaritmos:

x* log (2)= log (128)

x= log (128) ÷ log (2)

x= 7

Cada intervalo de tiempo tiene 6 minutos, que es el tiempo en que una bacteria se divide en 2. Entonces, el tiempo que se tarda en obtener 128 bacterias se calcula como:

7 intervalo* 6 minutos= 42 minutos

Si a las 12:15 horas se coloca una bacteria en un recipiente, entonces el horario a la que habrá 128 bacterias se calcula como:

12:15 + 42 minutos= 12:57

A las 12:57 horas habrá 128 bacterias en el recipiente.

Answer: EAD

Explanation: The angle mark is in between the points E, A, and D.

Answer:

7 =121 and t underscore 15 =193

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = 6 ÷ - 2 = - 18 ÷ 6 = 54 ÷ - 18 = - 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = - 3 , then

[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]

Answer:

142 degrees

Step-by-step explanation:

Answer: option D. B = 59.6° or B' = 120.4°

Step-by-step explanation:

Since the law is a/sinA = b/sinB = c/sinC you can try and verify each of them, by

10/sin(B)=......

and only B = 59.6° or B' = 120.4° give you the closed to 8.2/sin(45)= 11.59655121 which was 11.59401915.

(why the closed? because the question said it is "approximated")

The values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

Triangle is a three sides two dimensional surface having three angles.

We have,

A triangle in which,

One of the angle is 45°, and the side opposite to angle 45° is 8.2 with corresponding angle B.

And the side opposite to angle B is 10.

Now,

Using the law of sine,

i.e.

[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{Sin c}{c}[/tex]

So,

According to the given triangle,

We get,

[tex]\frac{Sin 45^0}{8.2} = \frac{Sin B}{10}[/tex]

We get,

[tex]Sin B=\frac{Sin 45^0}{8.2} *10[/tex]

On solving we get,

⇒

[tex]SinB= 59.58^0\ \ or\ \ SinB= 120.42[/tex]

i.e.

[tex]SinB= 59.6^0 \ \ or\ \ SinB'= 120.40[/tex]

So,

The option C is the correct answer.

Hence, we can say that the values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

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Answer: 49

Step-by-step explanation: A coefficient is the number placed in front of the variable, meaning n is the unknown number, aka variable. Making 49 the coefficient to that variable.

Hope this helps ^^

Answer:

49

Step-by-step explanation:

A coefficient is the numerical or constant quantity placed before or multiplied by a variable.

Answer:

15 pounds

Step-by-step explanation:

Given  data

Initial weight= 12 pounds

percent increase in weight = 25%

Let us find the increment

=25/100*12

=0.25*12

=3 pounds

Hence the weight in pounds of jacks puppy is

=3+12

=15 pounds

Answer:

A. p + (3p – 5) + (4p + 6)

D. 8p + 1

Step-by-step explanation:

A. p + (3p – 5) + (4p + 6)

B. p + (5 – 3p) + (6 + 4p)

C. p + 11

D. 8p + 1

E. 7p – 1

Lauryn = p tomatoes

Padma = (3p - 5) tomatoes

Kent = (4p + 6) tomatoes

Total number of tomato plants that Lauryn, Padma, and Kent grew = Lauryn + Padma + Kent

= p + (3p - 5) + (4p + 6)

= p + 3p - 5 + 4p + 6

= p + 3p + 4p - 5 + 6

= 8p + 1

Total number of tomato plants that Lauryn, Padma, and Kent grew = 8p + 1

A. p + (3p – 5) + (4p + 6)

D. 8p + 1

Answer:

The answer is 8.513

Step-by-step explanation:

You got to the fourth number after the decimal if it's below five the previous number stays the name is five or above it would've been 8.514.

Answer:

ΔLKM   yes

ΔJLM    yes

ΔKML   no

Answer:

(suprisingly easy) 6x3x4=72 in.

Step-by-step explanation:

Answer:

look for the formular of volume

Answer:

Given function

The value of y at x = 6:

The closest choice is :

The y-intercept is the value of y when x = 0

This is the initial temperature at zero minute time, before heating is applied.

Correct choice is:

Answer:

I think the Las t answer

Step-by-step explanation:

prime minister and members of the legislature

Answer:

Prime ministierer only :P

Answer:

I think its $8,480 if not I'm sorry

Answer:

8483.60 I had this question too and decided to help you.

Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i took k12 test

Answer:

x=0.75

Step-by-step explanation:

Answer:

[tex] 10 \: { \: m}^{2} [/tex]

Step-by-step explanation:

area of the shaded region = Area of triangle formed in rectangle with base (10 - 6 = 4) 4m and height 2 m + Area of triangle formed in square with base 2 m and height 6 m

[tex] = \frac{1}{2} \times 4 \times 2 +\frac{1}{2} \times 2\times 6 \\ \\ = 4+6 \\ \\ = 10 \: { \: m}^{2} [/tex]

Answer:

shaded region = 10 m squared

Step-by-step explanation:

Area square = 6x6 = 36    Area reatangle 4x2 = 8

both areas = 44

Now lets subtract some white parts to obtain the shaded parts

1/2 of 4x6 = 12

1/2 of 6x6 = 18

1/2 of 4x2 =4

12+18+4= 34

44-34 = 10

Answer:

The first one, the triangle

Step-by-step explanation:

It has three sides, and if you were to replicate the object in 3D it would have 5 vertices.

Answer:

332

Step-by-step explanation:

To find how many seats there were, multiply the number of rows with the number of seats in each row:

15 (24) = 360

From these total seats, there are 28 empty seats, meaning:

360 - 28 = 332

There were 332 people.

Answer:

A

Step-by-step explanation:

Answer:

x= 119

Step-by-step explanation:

All triangles have a sum of 180 degrees for all of their angles

so 180= 24+37+ x

x= 119

Answer:

5+2(6)

5+12 = 17

Step-by-step explanation:

Hope this is what you were talking about.

Answer:

good luck!

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

The percent error can be found using the

|Experimental value - Theoretical value| divided by |Theoretical value| and multiplied by 100.

I hope this helps

Here, the experimental probability is 1/4 and theoretical probability is 1/18.Then the percent difference between the theoretical probability and the experimental probability is 56%.

The probability is a measure of chances that an event to take place.

Given that,

red marbles = 3

blue marbles =1

yellow marbles = 2

Then.

theoretical probability of selecting a blue marble followed by a yellow marble is:

P(blue and yellow) = P(blue) x P(yellow) = (1/6) x (2/6) = 1/18

Since the marbles are replaced after each draw, the probability of this event is the same for every draw.

The experimental probability of selecting a blue marble followed by a yellow marble after 40 attempts is:

(3/6) x (2/6) x (40 attempts) = 10

Therefore, the experimental probability is 10/40 = 1/4

The percent difference between the theoretical probability and the experimental probability is:

| (experimental probability - theoretical probability) / theoretical probability | x 100%

= | (1/4 - 1/18) / (1/18) | x 100%

= 0.583 x 100%

= 58.3%

Therefore, the percent difference between the theoretical probability and the experimental probability is approximately 58.3%, which is closest to the option 56%.

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3+6+3

3+6=9+3=12

12 students received less than 6 gifts.

Hope this helps

Answer:

22

Step-by-step explanation:

308/70 = 4.4

4.4 * 5

I believe it is exponential growth

Answer: decay

Step-by-step explanation:

Answer:

solution given :

side1[S1]=17cm

side2[S2]=21cm

side3[S3]=10cm

height[H]=8cm

we have .

perimeter of triangle[P]= sum of all sides

=S1+S2+S3=17+21+10=48cm is your answer