What is the volume of this triangular prism

Answer:

y=8

Step-by-step explanation:

if y = -x +7

then

y= 1 + 7 cause we know x = -1 so negative x is 1

so 1+7=8

so y = 8

hope this helped :)

Answer:

It takes 8.7 hours for there to be 3300 bacteria present.

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for population growth is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the growth rate.

2400 bacteria are placed in a petri dish.

This means that [tex]P(0) = 2400[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2400(1+r)^t[/tex]

The conditions are such that the number of bacteria is able to double every 19 hours.

This means that [tex]P(19) = 2P(0)[/tex]. We use this to find 1 + r.

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]2P(0) = P(0)(1+r)^{19}[/tex]

[tex](1+r)^{19} = 2[/tex]

[tex]\sqrt[19]{(1+r)^{19}} = \sqrt[19]{2}[/tex]

[tex]1 + r = 2^{\frac{1}{19}}[/tex]

[tex]1 + r = 1.03715504445[/tex]

So

[tex]P(t) = 2400(1+r)^t[/tex]

[tex]P(t) = 2400(1.03715504445)^t[/tex]

How long would it be, to the nearest tenth of an hour, until there are 3300 bacteria present?

This is t for which [tex]P(t) = 3300[/tex]. So

[tex]P(t) = 2400(1.03715504445)^t[/tex]

[tex]2400(1.03715504445)^t = 3300[/tex]

[tex](1.03715504445)^t = \frac{3300}{2400}[/tex]

[tex]\log{(1.03715504445)^t} = \log{\frac{33}{24}}[/tex]

[tex]t\log{1.03715504445} = \log{\frac{33}{24}}[/tex]

[tex]t = \frac{\log{\frac{33}{24}}}{\log{1.03715504445}}[/tex]

[tex]t = 8.7[/tex]

It takes 8.7 hours for there to be 3300 bacteria present.

60 x 25% = 15

60 - 15 = 45

45 x 8% = 3.6

45 + 3.6 = 48.6

$48.6

Answer:

-30x

Step-by-step explanation:

The parenthesis is just to multiply, and you can combine like terms. So -5*6=-30, which you multiply with x to get -30x.

Answer:

b= 3.7305

⩙⩙⩙⩙⩙⩙⩙⩙⩙⩙⩙⩙⩙

Answer:

12 /7

Step-by-step explanation:

theres no quotient

Answer:

The answer is:  (12/7) OR  (1 5/7) <-- (SIMPLIFIED)

Step-by-step explanation:

First you would divide your original fraction by 3 : (5 1/7 / 3= 36/21). Next, you would  simplify  the fraction you have know (36/21) and simplify it by dividing the numerator (top number) & denominator ( bottom number) both by 3. ( 36/3= 12)  and ( 21/ 3= 7) . and so you would get your fraction 12/7 and or 1 5/7 ( if they want it to be simplified)

~ I rlly hope this helped you in any way, have a gr8 day/night my friend!~

Answer:

c

Step-by-step explanation:

180= 45+ (5x+35)

-45 -45

135 = 5x + 35

-35 -35

100 = 5x

/5 /5

x=20

Answer:

11.66

Step-by-step explanation:

Answer:

we have

b=3mm

c=5mm

a=?

angle =62°

By using cosine rule.

a²=b²+c²-2bc cos angle

a²=3²+5²-2×3×5 cos 62°

a²=19.92

a=√19.92

a=4.5

I had choose cosine rule.

Answer:

.

Step-by-step explanation:

shesssshhhhhhhhhhhhhhhhh

Answer:

what are we supposed to do

Step-by-step explanation:

im confused

Answer:

the top person is right she right

Answer:

use formula,

volume=1/3hπ[tex]r^{2}[/tex]

2592=1/3*h*3.14*(18)^2

2592=1/9.42h*324

2592=1/3050.08h

2592h=1/3050.08

h=1/3050.08*1/2592

h=1/79058071.36

h=1.26*10^-8

Step-by-step explanation:

Answer:

[tex]\sqrt{3}[/tex]  sqrt(3)

Step-by-step explanation:

Pythagroean theorem shows that x^2+sqrt(2)^2=sqrt(5)^2

In other words,

x^2+2=5

x^2=3

x=sqrt(3)

Answer: $13.45

Step-by-step explanation:

1. 48.85 + 4.95 = 53.8

2. 53.8/4 = 13.45

3. Shrimp basket = $13.45

Answer:

X²-4x-5

5-×1=5-

5-1=4

so the Values 5 and 1

x²-x-2

2×1=2

2-1=1

the values is 2 and 1

(x-2)×(x+1)

so

x-5/(x-5)×(x+1)=2x-5/(x-2)×(x+1)

1=2x-5/x-2

x-2=2x-5

x=3

hopefully its helpful and correct

Answer:

The answer is 83

Step-by-step explanation:

You have to mutiply them all then divide

Answer:

14.58π cm to the nearest hundredth.

Step-by-step explanation:

Circumference of the circle = 2 π r

= 30π

By proportion the length of the arc defined by 175 degrees

= 30 π * 175 / 360

= 14.58 π cm.

Answer:

The short answer is that most car salespeople don't earn a whole hell of a lot of money. Dealership salespeople average about 10 car sales per month, and earn an average of about $40k per year. If you do the math, that's about $330 per car.

Step-by-step explanation:

Answer:

You should prob add then multiply

Step-by-step explanation:

i'm sorry if you don't understand !BRB when i get the answer(Let's hope i don't forget.

Answer:

Kent is 34 and Robert is 44 I'm not sure tho hope it helps

Answer:

Robert is 17 years old

Kent is 13 years old

Step-by-step explanation:

Alright, let's say that Robert is X years old, and Kent is X - 5 Years old, since he is 5 years younger. Since their ages together add up 39 years old, set these values next to one another.

x + x + 5 = 39

Add Like Terms

2x + 5 = 39

Cancel out the 5

2x = 34

Divide by 2

x = 17

With this, x is 17. This means that Robert is 17 years old since his age was x. With Kent he is 13 years old since 17 - 5 = 13.

Answer: 1000

Step-by-step explanation: You usually always multiply the radius by 2 to find the diameter but since you said 10 rotations i multiplied 100 x 10

The terminal point of the unit circle (cos θ, sine θ) for 30° is                     ( √3/2 , 1/2 ).

"The terminal point is the ray that has been rotated around the origin to form an angle with the stationary ray which is the initial side of the angle. They are sine and cosine values of the most common acute-angle measures".

For the given question,

Angle = 30°

The terminal point on the unit circle has the cosine as x -coordinate and the sine as y - coordinate are mostly acute-angle measures.

Here, θ = 30°

The x-coordinate is cos 30° = [tex]\frac{\sqrt{3} }{2}[/tex]

The y-coordinate is sin 30° = [tex]\frac{1}{2}[/tex]

Hence we can conclude that the terminal point for 30° is ( √3/2 , 1/2).

Learn more about terminal points of circles here

https://brainly.com/question/23361272

#SPJ2

Answer:

Hihi <333

Step-by-step explanation:

The answer is C.

Whenever looking at questions from this site make sure to carefully read your question so you don't accidentally click the wrong answer

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]

Calculating the sampling distribution of the sample mean:

[tex]\to \mu=\mu_\bar{x}=650[/tex]

Calculating the sampling distribution of the standard deviation:

[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]

9514 1404 393

Answer:

  1944 ft³ using the estimated height

Step-by-step explanation:

Ashleigh can use her estimate of the height, along with the other dimensions, in the volume formula to get an estimate of the volume.

  V = LWH

  V = (18 ft)(12 ft)(9 ft) = 1944 ft³

Answer:

it's actually 32,768 so yeah

but choose either c or d

Answer:

bigger

Step-by-step explanation:

Answer:

Bigger

Step-by-step explanation:

-3.8 is bigger because negative numbers closer to 0 are actually bigger than negative numbers farther away.

If [tex]-4\frac{1}{2}[/tex] is broken down into simpler form it becomes -9/2 which reduces to -4.5 in decimal form. -4.5 is farther away from 0 on a number line thus it is smaller. Thus -3.8 > -4.5

Answer:

x=2

Step-by-step explanation:

Answer:

scalene triangle

Step-by-step explanation:

a scalene triangle is a triangle where none of the sides are equal

Answer:

Depth = 5

Width = 4

Height = 4

Total = 80

Step-by-step explanation:

For depth, width, and height you just count

The total equals, depth times width times height = 5x4x4 = 80