What is the volume of this figure?

Answer: [tex]7.93[/tex]

Step-by-step explanation:

Given

[tex]f(x)[/tex] is an exponential function. Suppose [tex]f(x)[/tex] is [tex]ae^{bx}[/tex]

[tex]f(1.5)=5\ \text{and}\ f(7.5)=79[/tex]

[tex]\Rightarrow 5=ae^{1.5b}\\\Rightarrow \ln 5=\ln a-1.5b\quad \ldots(i)[/tex]

Similarly,

[tex]\Rightarrow 79=ae^{7.5b}\\\Rightarrow \ln(79)=\ln a+7.5b\quad \ldots(ii)[/tex]

Subtract (i) and (ii)

[tex]\Rightarrow \ln (79)-\ln (5)=9b\\\Rightarrow \ln (\frac{79}{5})=9b\\\\\Rightarrow b=\dfrac{\ln (\frac{79}{5})}{9}\\\\\Rightarrow b=0.3066[/tex]

Insert the value of [tex]b[/tex]

[tex]\Rightarrow 5=ae^{0.46}\\\Rightarrow a=5\times 0.6312\\\Rightarrow a=3.156\approx 3.16[/tex]

So, the function becomes

[tex]\Rightarrow f(x)=3.16e^{0.3066b}[/tex]

[tex]\Rightarrow f(3)=3.16e^{0.3066\times 3}\\\Rightarrow f(3)=7.927\approx 7.93[/tex]

Answer:

7.93

General Exponential Form: y=ab^x

Plug in both points

divide the equations

cancel out a, subtract exponent of b

Answer:

[tex]{ \tt{m \sqrt{p} + n \sqrt{p} - \sqrt{p} }} \\ = { \tt{ \sqrt{p}(m + n - 1) }}[/tex]

Answer:

-611.031 < μd < 4260.031

Step-by-step explanation:

This is a matched pair design :

______Day1 Day 2 Day 3 Day 4

x1 Kill room 3175 2526 1763 1090

x2 Processing 529 141 362 224

First we obtain the difference, d ;

d = (x1 - x2)

d = 2646, 2385, 1401, 866

The mean difference, dbar = Σd/ n = 7298 / 4 = 1824.5

The standard deviation of difference,

Sd = √(Σx-dbar)²

Using calculator, Sd = 834.086

The 99% confidence interval :

Mean ± margin of error

dbar ± margin of error

Margin of Error = Tcritical * Sd/√n

Tcritical at 99%, df = n-1 ; df = 4-1 = 3

Tcritical = 5.84

Margin of Error = 5.84 * 834.086/√4 = 2435.53112

Confidence interval = 1824.5 ± 2435.53112

(-611.031 ; 4260.031)

Answer: 7.25

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{x = -4}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\3x - 5 = 5x + 3\\-----------\\\rightarrow 3x - 5 + 5 = 5x + 3 + 5\\\\\rightarrow 3x = 5x + 8\\\\\rightarrow 3x - 5x = 5x - 5x +8\\\\\rightarrow -2x = 8\\\\\rightarrow \frac{-2x=8}{-2}\\\\\rightarrow \boxed{x = -4}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

4.5 hours in minutes = 270

Every 45 minutes, bacteria triples

You start with 50

Divide 270 (total time) by 45 (every time bacteria triples)

270/45 = 6

36,450 bacteria

Answer:

The post office charges $0.7cents to send one letter, and the fee is $1.5

Step-by-step explanation:

Answer:

3 cm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h

V = 1/2 * 3/2 * 4

V = 3 cm^3

Answer:

3 cm³

Step-by-step explanation:

V = L * W * H

V = (4 cm)(3/2 cm)(1/2 cm)

V = 12/2 * 1/2 cm³

V = 12/4 cm³

V = 3 cm³

d=10

Answer:

Solution given:

[tex]\sqrt{25+3x}=d+2x[/tex]

squaring both side

25+3x=(d+2x)²

when x=-3

25+3*-3=(d+2*-3)²

25-9=(d-6)²

16=(d-6)²

[tex]\sqrt{16}=d-6[/tex]

4=d-6

d=4-6

d=10

Answer:

d = 6

Step-by-step explanation:

[tex] \sqrt{25 + 3( - 3)} = d + 2( - 3) \\ 4 = d - 6 \\ d = 10[/tex]

hopefully this makes sense

:)

Answer: -cos(a)+cos(b)

Step-by-step explanation:

To integrate is the same as saying to find the antiderivative.

[tex]\int\limits^a_b {sin(x)} \, dx[/tex]         [antiderivative of sinx is -cosx]

[tex]-cos(x)|_b^a[/tex]           [include boundaries]

[tex]-cos(a)+cos(b)[/tex]

Therefore, the integral would be -cos(a)+cos(b).

Answer:

[tex]\frac{(x+2)}{(x-1)}[/tex]

Step-by-step explanation:

[tex]\frac{x^2 + x -2}{x^2 -2x+1}[/tex] =

[tex]\frac{(x+2)(x-1)}{(x-2)(x-1)}[/tex] =

[tex]\frac{(x+2)}{(x-1)}[/tex]

Answer:

x = -3

y= 3

Step-by-step explanation:

y =  x + 6 -----------------------(I)

y = -2x - 3 ---------------------(II)

Substitute y =x +6 in equation (II)

x + 6  = -2x - 3

Add 2x to both sides

x + 2x +6 = -3

Combine like terms

3x + 6 = - 3

Subtract 6 from both sides

3x = - 3 - 6

3x = -9

Divide both sides by 3

x = -9/3

x = -3

Plug in s = -3 in equation (I)

y = -3 + 6

y = 3

Answer:

30º

Step-by-step explanation:

because it is a right triangle, we can use trig functions to solve

tan^{-1}=17/29=30.379

Answer:

it would be

D.

(7,-4)

Mark me as brainliest pleases

Answer:

it would be A (-7,-4)

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

16/24=(x-2)/12

or, 16/2=x-2

or, 8=x-2

or, x-2=8

or, x=10

Answered by GAUTHMATH

Answer:

23 hoiurs

Step-by-step explanation:

Given data

a. The two variables are

1. Number of hours worked

2. The amount earned

b. The rate is given as

=120/8

=$15 per hour

c. The equation is given as

rate=Amount earned/ number of hours worked

15= 345/hours

make hours subject of the formula we have

hours= 345/15

hours= 23 hours

Hence he must work for 23 hours

Answer:

if the village is of 120 people and  120 people are over the age of 60 then 0 people are under the age of 25.

Step-by-step explanation:

Answer:

100998 is the answer.

I hope this help u.

Answer:

100998

Step-by-step explanation:

₁ ₁ ₁ ₁ ₁

99999

+   999

100998

you can also think of it as

99999(+1) + 999(-1)

100000+998

100998

Answer:

A

Step-by-step explanation:

A

The number of sides for a regular polygon that will not form a regular tessellation is 7. The correct option is C.

A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

A tessellation or tiling is the seamless covering of a surface, frequently a plane, with one or more geometric shapes, known as tiles. One regular polygon can be used to create a single regular tessellation. Two or more regular polygons are used in a semi-regular tessellation.

Triangles, squares, and hexagons are the only three regular tessellations.

Now, the name of the polygon having 3, 4, and 6 sides is triangle, square, and Hexagon. Therefore, the only regular polygon that will not form a regular tessellation is heptagon, which has 7 sides.

Hence, the number of sides for a regular polygon that will not form a regular tessellation is 7.

Learn more about Polygon here:

https://brainly.com/question/10441863

#SPJ2

AB: 20

BC: 12

AC: 16

AD: 10

DE: 6

AE: 8

Answer:

(A). x² + y² - 4x + 6y - 3 = 0

Step-by-step explanation:

(x - 2)² + (y + 3)² = 4²

x² - 4x + 4 + y² + 6y + 9 - 16 = 0

x² + y² - 4x + 6y - 3 = 0

Answer:

10 degrees = C

Step-by-step explanation:

Total internal angles add to 180 degrees.

Add all values of c and set equal to 180.

18c = 180.

c=10

Answer:

c = 10

Step-by-step explanation:

3c + 6c + 9c = 180 degrees. Every triangle has 180 degrees.

18c = 180                Combine the like terms. Divide by 18

18c/18 = 180/18

c = 10

Answer:

Step-by-step explanation:

The domain are all the x values in order, no repeats allowed:

D = {-2, 2, 5}

Same thing for the range, except these are the y values:

R = {-7, 2, 4}

The coordinates stated this way don't match up to what they are in coordinate form, but they don't have to.

Answer:

Domain : {-2,2,5}

Range:{ -7,2,4}

Step-by-step explanation:

The domain is the inputs

Domain : {-2,2,5}

The range is the outputs

Range:{ -7,2,4}

Answer:

I think its 1.4

Step-by-step explanation:

if you divide 42 by 1.4 it makes 30 and if u multiply 30 by 1.4 it makes 42

Answer:

the scale factor is 7/5

Step-by-step explanation:

42/30=

42/30=

then you find a common factor between the two is 6, so you divide both sides of the fraction by 6 to get 7/5. and because they both are the same you know that they both have the same scale factor. Which is 7/5. I am not quite sure if you need to find the missing side length but in case you do multiply 40 by 7/5 so it looks like 40/1 x 7/5. 40 x 7 = 280. 280/5 = 56. so your side length is 56.

Answer:

no solution

Step-by-step explanation:

Supplementary angles add to 180

Let x be the supplement

x+69 = 180

x = 180-69

x =111

The complement of an angle means they add to 90

111+y = 90

y = 90-111

y =-21

But an angle cannot be negative so there is no solution

Answer:

21 degrees.

Step-by-step explanation:

To find the complementary angle you have to subtract the given angle from 90.

so,

90 - 69 = 21.

Extra info: if you need to find the supplementary angle you need to subtract the given angle from 180.

Answer:

Maybe, there is a chance, but I don't know for sure.

It might matter, but I wouldn't worry or stress about it too much.

My only advice to you is do not procrastinate and if you need help don't be afraid to ask.

Answer:

It matters but not like you think.

GPA, extracurricular activities, and SAT/ACT are the biggies. Truthfully it won't change a thing if you took accelerated pre-algebra versus normal. In fact, spoiler alert, the SAT/ACT (I'm assuming your american) will matter more than your courses ever did. I took two years of college physics in highschool and i made more off my SAT. Not only that, but an A in an easy class looks better than a C in a hard one on transcripts.

My advise is slow down, relax, and learn it well. Better to learn the concept fully in normal so that you can apply it, than half learn it in advance and struggle in future applications. After all, math ALWAYS builds. Take it slow, take it easy.

I would recommend talking to a school guidance counselor about your academic stress. Im sure their professional insight will help put you at ease. It may also help to get you going in the right direction so that you achieve your goals.

Good luck. Enjoy life

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Answer:

x = -12

Step-by-step explanation:

5x + 2(2x - 23) = -154

Distribute;

5x + 4x - 46 = -154

Collect like terms

9x - 46 = -154

Add 46 to both sides;

9x = -108

Divide both sides by 9

x = -12

Answer:

I think SAS is the correct Ans