Write the equation of a line that is perpendicular to the given line and pass through the given point

Describe the next figure in each pattern. Then draw the figure

madreJ [45]

The first figure has 3 angles, the second one has 4 angles, the third one has 5 angles so the next one will have 6 angles.

The violet figures inside stick with each side of the outer figures in the middle, so the last figure will look more less like in the attachment.

6 0

3 years ago

I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli

dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it grows by using t=25 minutes and $\frac{A_{0}}{A} =2$ or double the amount at that time. The first step we always take is to divide $A_0$ by A.

$[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}$

$2=e^{(25)r}$

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r$

We know $lne=1$ so we were able to cancel it out and divide both sides by 25.

We solve with a calculator $\frac{ln2}{25} =r\\0.0277=r$

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is $A=A_0e^{0.0277t}$ .

We repeat the step above substituting A=5,000,000, $A_0$ =50, and r=0.02777. Then solve for t.

$5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t$

t=415.63 minutes

6 0

3 years ago

Which series of transformations will not map figure H onto itself?

chubhunter [2.5K]

Answer:

(x + 0, y − 2), reflection over y = 1

Step-by-step explanation:

H will be shifted down 2 units and then reflected over y = 1, which maps H into itself

3 0

3 years ago

3. Seleccione la gráfica correspondiente a la función de la forma Y=mX , encerrando en una circunferencia el literal correcto:

Deffense [45]

Answer:

La respuesta esta abajo

Step-by-step explanation:

La pregunta no está completa porque no contiene gráficos, pero te mostraré cómo responderla.

La ecuación de un gráfico de línea recta viene dada por:

y = mx + b; donde y y x son variables, m es la pendiente de la gráfica y b es la intersección en y (que es el valor de y cuando x es 0)

Dado que la ecuación de la gráfica es y = mx, comparando con la ecuación de una línea recta (y = mx + b), podemos concluir que la gráfica con una ecuación y = mx, tiene una pendiente de my una intersección con y de 0.

Esto significa que la gráfica pasa por el origen sin tocar el eje y. Además, la gráfica tiene una pendiente positiva.

5 0

3 years ago

Ethan is looking to take out a mortgage for $620,000 from a bank offering an annual interest rate of 4.5%, compounded monthly. U

Komok [63]

His monthly payment to the nearest dollar of the loan taken over 25 years = $4,391.67

<h3>Calculation of monthly payment</h3>

The mortgage capital = $620,000

The rate of payment of interest= 4.5%

The period for the payment = 25 years.

Simple interest

= p×T×R/100

= $620,000 × 25 × 4.5/100

= 69750000/100

= $697,500

Therefore the total amount of money that will be generated = $620,000 + $697,500 = $1,317,500

Therefore the monthly payment,

= $1,317,500/12×25

= $4,391.67

Learn more about simple interest here:

brainly.com/question/20690803

#SPJ1

6 0

1 year ago