A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35 ∙ 3x models the number of bacteria after x hours. Estimate when there will be about 550 bacteria in the culture.

Answer:

95°

Step-by-step explanation:

Angle 1 and 4 are opposite angles, thus equal, so:

3x+10 = 4x-15 =>

x = 25

Angle 1 and 4 are 85°

Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.

Angle 6 and 7 are again opposite, so angle 7 is 95° as well!

Answer:

c

Step-by-step explanation:

Answer:

C. 120

Step-by-step explanation:

The figure shows that angles BEC and KEC are congruent. Their measures are equal.

m<KEC = m<BEC

10x = 6x + 24

4x = 24

x = 6

m<BEK = 2m<KEC

m<BEK = 2 * 10x

m<BEK = 2 * (10)(6)

m<BEK = 2 * 60

m<BEK = 120

Answer:

84cm²

Step-by-step explanation:

Perímetro de un rectángulo = 2L + 2W

Representemos la longitud del rectángulo = L

En la pregunta anterior se nos dijo que el ancho del rectángulo = es menor que 5 en la longitud

Por lo tanto, ancho del rectángulo = L - 5

Perímetro del rectángulo = 38 cm

Por lo tanto

38 = 2 (L) + 2 (L - 5)

38 = 2L + 2L - 10

38 + 10 = 4L

48 = 4L

L = 48/4

L = 12 cm

La longitud del rectángulo = 12 cm

Como L = 12, encontramos el ancho

Ancho = L - 5

= 12 cm - 5 cm

= 7 cm

El ancho del rectángulo = 7 cm

En la pregunta nos pidieron encontrar el área del rectángulo.

Área del rectángulo = Largo × Ancho

Área del rectángulo = 12 cm × 7 cm

Área del rectángulo = 84cm²

Answer:

24500 cm^2

Step-by-step explanation:

Answer:

y>9x+6

Step-by-step explanation:

y-9x+(9x)>6+(9x)

y>9x+6

Answer:

1. (2,1)

2. (6,-1)

3.(-2,3)

Answer:

1. (2,1)

2.  (6,-1)

3. (-2,3)

Step-by-step explanation:

Each of the answer is consistent system because the lines intersect at one point, which is one solution.

Answer:

Step-by-step explanation:

Let breadth of the room be 'x'

Let length of the room be '[tex]2 \frac{1}{2} x = \frac{5}{2} = 2.5 \: x[/tex]'

Perimeter ( P ) = 70 cm

Now, let's find the breadth of the room 'x '

Perimeter of rectangle = [tex]2(l + b)[/tex]

plug the values

[tex]70 = 2(2.5x + x)[/tex]

Collect the like terms

[tex]70 = 2 \times 3.5x[/tex]

Calculate the product

[tex]70 = 7x[/tex]

Swap the sides of the equation

[tex]7x = 70[/tex]

Divide both sides of the equation by 7

[tex] \frac{7x}{7} = \frac{70}{7} [/tex]

Calculate

[tex]x = 10 \: cm[/tex]

Breadth = 10 cm

Now, Let's find the length of the room ' 2.5x '

Length of the room = [tex]2.5x[/tex]

Plug the value of X

[tex] = 2.5 \times 10[/tex]

Calculate the product

[tex] = 25 \: cm[/tex]

Thus , The length and breadth of the room is 25 cm and 10 cm respectively.

Hope this helps..

Best regards!!

Answer:

The longest side of the ΔQRS is Side RS.

Step-by-step explanation:

Given:  m∠R=65°, m∠S=35° we don't know what m∠Q is in ΔQRS.

To find m∠Q , we first need to know that all triangles have a sum of 180°. Since we are already given two angle measurements ( m∠R and  m∠S) we can add them both measurements up which gives us 100°. Then we subtract 100 from the triangle sum which is 180° (180°-100°) and we are left with 80°. Which mean that m∠Q got to be 80°.

Now we know the all the angles measurements we can immediately find out which side is the longest. To find the longest side its always lie opposite the largest angle which in this m∠Q (80°). Which mean that side RS is the longest side in the triangle.

Answer:

A. How many times the ad appear:

= 400 times

B. How many hits the website must have for thread to appear 1000 times with 0.05 probability that an ad appears when the website is loaded.

= 20,000 hits

Step-by-step explanation:

A. The probability that an ad appears when a particular website is loaded = 0.2

When the website gets 2,000 hits a day, the ad appears

= 2,000 x 0.2

= 400 times

B. When the probability that an ad appears when the website is loaded is 0.05.

Therefore, the website must have 20,000 hits for thread to appear 1,000 times

= 1,000/0.05

= 20,000 times

The probability of an ad appearing when a website is loaded is the chance that the event happens (i.e. the ad appears) from the many events that can happen.

Answer:

B. [tex]1\frac{1}{7}[/tex]

Step-by-step explanation:

[tex]-9\frac{2}{7}[/tex]=[tex]-\frac{65}{7}[/tex]

[tex]-10\frac{3}{7}[/tex]=[tex]-\frac{73}{7}[/tex]

[tex]-\frac{65}{7}[/tex]-([tex]-\frac{73}{7}[/tex])=8/7

8/7=[tex]1\frac{1}{7}[/tex]

Hope this helped!!!

Answer:

[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]

Step-by-step explanation:

Given

[tex]Red = 9[/tex]

[tex]Blue = 2[/tex]

[tex]Yellow = 5[/tex]

Required

Probability of Red or Blue

First, it should be noted that the event described in the question are mutually exclusive or disjoint events;

Meaning that the probability of one have no effect the other;

Having said that; the Probability of Red ot Blue is as follows

[tex]P(Red\ or\ Blue) = P(Red) + P(Blue)[/tex]

Calculating [tex]P(Blue)[/tex]

[tex]P(Blue) = Number\ of\ blue\ crayon / total\ crayon[/tex]

[tex]P(Blue) = \frac{2}{9+ 2 + 5}[/tex]

[tex]P(Blue) = \frac{2}{16}[/tex]

Calculating [tex]P(Red)[/tex]

[tex]P(Red) = Number\ of\ red\ crayon / total\ crayon[/tex]

[tex]P(Red) = \frac{9}{9+ 2 + 5}[/tex]

[tex]P(Red) = \frac{9}{16}[/tex]

Substitute these values in the formula given above

[tex]P(Red\ or\ Blue) = P(Red) + P(Blue)[/tex]

[tex]P(Red\ or\ Blue) = \frac{9}{16} + \frac{2}{16}[/tex]

Take LCM

[tex]P(Red\ or\ Blue) = \frac{9 + 2}{16}[/tex]

[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]

Hence, the probability of a red or blue crayon is

[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]

Answer:

7 x 9 x 11 x 13  +  13  is a composite number because the answer is a positive number which is 9022.

7 x 9 x 11 x 13  +  13  is a positive integer that can be formed by multiplying small positive numbers which are 7, 9, 11 and 13. Equivalently, 9022 is a positive integer that has at least one divisor other than 1 and itself. For example, 9022 can be divided by 2. 9022 is exactly a number but it is not a prime number.

I hope you will understand my explanation!

Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution  where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt)  multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

v= 4/3πr³

4/3×314/100×8×8×8

•

= 2,143.573

Answer

so,if x*y> than zero, we know that neither x nor y can be zero, because anything multiplied by zero is equal to zero. now , we also know, that a negative  times a negative is positive, and a positive  times a positive times a positive is a positive

Step-by-step explanation:

Answer:  y = -2

Step-by-step explanation:

f(x) = A cos (Bx - C) + D

                                  ↓

                                center line (aka midline)

f(x) = 2 cos (3x - 5π/6) - 2

                                      ↓

                                  midline = -2

The midline of the cos function f(x) = 2cos(3x − 5π/6) − 2 is y = -2 after comparing with standard cos function f(x) = Acos(Bx - C) + D

It is defined as a function that is sin-cos wave in nature, and it has a domain of all real numbers and lies between the [a, a] where is the amplitude of the function.

It is given that the cos function is:

f(x) = 2cos(3x - 5π/6) - 2

As we know, the standard form of the cos function is:

f(x) = Acos(Bx - C) + D

Here, A is the amplitude

B is the period of the cos function

C is the phase shift of the cos function

D is the vertical shift of the cos function/midline

On comparing:

D = -2

The midline:

y = -2

Thus, the midline of the cos function f(x) = 2cos(3x − 5π/6) − 2 is y = -2 after comparing with standard cos function f(x) = Acos(Bx - C) + D

Learn more about the cos function here:

https://brainly.com/question/14397255

#SPJ5

Answer:

Hello There. ☆~---~--___●♡●__~--☆ Since p = x² - 7, you can substitute/plug in p for x² - 7

So:

(x² - 7)² - 4x² + 28 = 5

(p)² - 4x² + 28 = 5   You can factor out -4 from (-4x² + 28)

p² - 4(x² - 7) = 5        Plug in p

p² - 4p = 5        Subtract 5

p² - 4p - 5 = 0  And, your correct answer is C.

Hope It Helps!~

ItsNobody~ ☆

Answer:

The airplane is 222 miles far from the airport.

Step-by-step explanation:

After a careful reading of the statement, distances can be described in a vectorial way. A vector is represented by a magnitude and direction. That is:

Airplane flies 290 miles (east) (290 km with an angle of 0º)

[tex]\vec r_{A} = (290\,mi)\cdot i[/tex]

Airplane flies 290 miles (northwest) (290 km with and angle of 135º)

[tex]\vec r_{B} = [(290\,mi)\cdot \cos 135^{\circ}]\cdot i + [(290\,mi)\cdot \sin 135^{\circ}]\cdot j[/tex]

The resultant vector is equal to the sum of the two vectors:

[tex]\vec r_{C} = \vec r_{A} + \vec r_{B}[/tex]

[tex]\vec r_{C} = \{(290\,mi) + \left[(290\,mi)\cdot \cos 135^{\circ}\right]\}\cdot i + \left[(290\,mi)\cdot \sin 135^{\circ}\right]\cdot j[/tex]

[tex]\vec r_{C} = (84.939\,mi)\cdot i + (205.061\,mi)\cdot j[/tex]

The magnitude of the final distance of the airplane from the airport is obtained by the Pythagorean Theorem:

[tex]\|\vec r_{C}\|=\sqrt{(84.939\,mi)^{2}+(205.061\,mi)^{2}}[/tex]

[tex]\|\vec r_{C}\| = 221.956\,mi[/tex]

The airplane is 222 miles far from the airport.

Answer:

Step-by-step explanation:

Given figure : Trapezoid

Base sides,

a = 11 cm

b = 11 - 3 = 8 cm

height ( h ) = 4 cm

Now, finding the area:

[tex] \frac{1}{2} (a + b) \: h[/tex]

plug the values

[tex] \frac{1}{2} \times (11 + 8) \times 4[/tex]

Calculate the sum

[tex] \frac{1}{2} \times 19 \times 4[/tex]

Reduce the numbers with G.C.F 2

[tex]19 \times 2[/tex]

Calculate the product

[tex]38 \: {cm}^{2} [/tex]

Hope this helps...

Best regards!

Answer:

c     15

Step-by-step explanation:

Tangent AB is tangent to circle D at point A. The angle made by a tangent to a circle and a radius of the circle at the point of tangency is a right angle. That means that angle is a right angle, and triangle ABD is a right triangle.

We can use the Pythagoren theorem.

a^2 + b^2 = c^2

x^2 + 20^2 = (x + 10)^2

x^2 + 400 = (x + 10)(x + 10)

x^2 + 400 = x^2 + 10x + 10x + 100

400 = 20x + 100

20x = 300

x = 15

Answer: X

Step-by-step explanation:

Answer:

x=6, y=2.5

Step-by-step explanation:

Answer: 2.5

Step-by-step explanation:

To find a mean, the average, we have to add everything together.

So we add 1 + 4 + 3 + 2, which is equal to 10. The next step to find the average is to divide by the total number of “things” which is the 4 puppeteers.

10/4 is 2.5

Answer:

4

Step-by-step explanation:

The vertex formula of a quadratic equation is:

●y= a(x-h)^2 +k

(h,k) are the coordinates of the vertex

Here: h = -5 and k= -2

y is 2 and x is -4

● 2 = a (-4-(-5))^2 + (-2)

● 2 = a (-4+5)^2 -2

● 2 = a *1^2 -2

● 2 = a -2

● 4 = a

Answer:

where is the dot plot also describe if it increases or decreases

Answer:

cosM ≈ 0.3048

Step-by-step explanation:

remember SOH CAH TOA = sine: opposite/hypotenuse; cosine: adjacent/hypotenuse; tangent: opposite/adjacent

cos = CAH

cosM= a / c

cosM = 4.0 / 13.1244

cosM = 0.30477

cosM ≈ 0.3048

Answer:

3 ≤ n < 15

 1-2. not n

3-4. yes n

5-6. yes n

 7-8. yes n

9-10. yes n

11-12. yes n

13-14. yes n

15-16. not n

Step-by-step explanation:

Everything on this side is less than, < but everything on this side is greater.

Everything on this side could be equal or less, ≤ but everything on this side is

not.

I'm had a hard time with the number line, but imagine a line going through the periods and there being a dot where the yes ns end, and start.

Intervals has each point represent more than one number making the line shorter.

Answer:

The explicit formula for the sequence is

Step-by-step explanation:

The above sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 38

d = 32 - 38 = - 6 or 20 - 26 = - 6 or

14 - 20 = - 6

So the formula for the sequence is

A(n) = 38 + ( n - 1)-6

= 38 - 6n + 6

We have the final answer as

Hope this helps you

Answer:

[tex]\huge\boxed{a_n=-6n+44}[/tex]

Step-by-step explanation:

This is an arithmetic sequence:

32 - 38 = -6

26 - 32 = -6

20 - 26 = -6

14 - 20 = -6

The common difference d = -6.

The explicit formula of an arithmetic formula:

[tex]a_n=a_1+(n-1)(d)[/tex]

Substitute:

[tex]a_1=38;\ d=-6[/tex]

[tex]a_n=38+(n-1)(-6)[/tex]         use the distributive property

[tex]a_n=38+(n)(-6)+(-1)(-6)\\\\a_n=38-6n+6\\\\a_n=-6n+(38+6)\\\\a_n=-6n+44[/tex]