Give complete answers that show all steps! :)

Answer:

D) [tex]Y = 1.03(2.93^x)[/tex]

Step-by-step explanation:

To Find the exponential regression equation that fits these data, we substitute the value of x into the equation and see if it produces the value of y.

x: 1 2 3 4 5 6

y: 3 8 27 85 240 570

A. Y = 2.93([tex]1.03^x[/tex])

Substituting x = 1 to get

Y = 2.93(1.03) ≅ 3

Substituting x = 2 to get

Y = 2.93([tex]1.03^2[/tex]) ≅ 3.1

Option A is wrong

B. Y = 38.73x² – 168.58x + 158.1

Substituting x = 1 to get:

Y = 38.73(1)² – 168.58(1) + 158.1 = 28.25

Therefore option B is wrong

C. Y = [tex]102.54^x - 203.4[/tex]

Substituting x = 1 to get:

Y = 102.54 – 203.4 = -100.86

D) [tex]Y = 1.03(2.93^x)[/tex]

Substituting x = 1 to get:

[tex]Y = 1.03(2.93^1)=3[/tex]

Substituting x = 2 to get:

[tex]Y = 1.03(2.93^2)=8.84[/tex]

Substituting x = 3 to get:

[tex]Y = 1.03(2.93^3)=25.9[/tex]

Option D is the closest, it is the correct option

Answer:

4.9 ≤ l ≤ 5.1

Step-by-step explanation:

'I' represents the length of the acceptable length for the board in feet.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
A carpenter is cutting a 2 by 4 framing for a roof. The length needs to be 5 feet.
He allows a 0.1-foot possible variation for the length of the cut. where variation becomes,
5 - 0.1 ≤ I ≤ 5 + 0.1
4.9 ≤ I ≤ 5.1

Thus, 'I' represents the length of the acceptable length for the board in feet.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ5

Answer:

Second Option, m+7n+30

Step-by-step explanation:

First I'd combine the m terms

22+5m-4m+7n-8

     5m-4m

        =1m

22+1m+7n+8

Now the numbers with no variable

22+1m+7n+8

22     +       8

      =30

m+7n+30 is our final answer

Answer:

7n +m +14

Step-by-step explanation:

22 +5m -4m +7n -8

=7n +5m -4m +22 -8

=7n +m +14

235.5 units^2 or 75π

Here is why:

The formula for the surface area of a cone is...

[tex]SA=\pi r^2+\pi rl[/tex]

Since you didn't specify if you wanted an exact or approximate answer, I will be doing both. The lateral height is l, so I'm going to assume the height you gave is the lateral height. We can now plug everything in.

[tex]SA=(3.14*5*5)+(3.14*5*10)[/tex]

[tex]SA=78.5+157[/tex]

[tex]SA=[/tex]

235.5

Now that we have the approximate answer, we will find the exact answer or the answer in pi.

[tex]SA=(\pi *5*5)+(\pi *5*10)[/tex]

[tex]SA=25\pi +50\pi[/tex]

[tex]SA=[/tex]

75π

~

The approximate answer for the surface area of the cone is 235.5 units^2 and the answer in terms of pi is 75π.

Answer:

It's B

explanation

Answer:

25

Step-by-step explanation:

[tex]f(x)=x^3-2 \\\\f(3)=(3)^3-2= \\\\27-2= \\\\25[/tex]

Hope this helps!

Answer: 25

Explanation: Notice that f is a function of x. So we want to find f(3).

We find f(3) by plugging 3 in for x everywhere

that x appears in the function.

So we have (3)³ - 2.

(3)³ is equal to 3 × 3 × 3 or 27.

So we have 27 - 2 which is 25.

So f(3) is equal to 25.

Answer:

B. 5/7

Step-by-step explanation:

Up the y axis by 5 and over the x axis by 7

Answer:

1 , 29/11

Step-by-step explanation:

3x+y = 10 ....(1)

2x² +y² = 19 ....(2)

3x+y= 10

y = 10-3x

substituting the value of y in 2nd equation

2x² + y² = 19

2x² + (10-3x)² = 19

2x² + 100 + 9x² - 60x -19 = 0

11x² - 60x +81 = 0

11x² - 33x - 27x + 81 = 0

11x( x-3) - 27(x-3) = 0

(x-3)(11x-27) = 0

x = 3, 27/11

substituting x value on first equation

x= 3 x= 27/11

y= 10-3(3) y= 10 - 81/11

= 10-9 = (110-81)/11

= 1 = 29/11

Hope it helps...

Answer:

16

Step-by-step explanation:

(if u are 4, i'm gonna scream)

Answer:

16

Step-by-step explanation:

If you are 4, just no.

Answer:

  P = (A +3B)/4

Step-by-step explanation:

A "directed" line segment is one that has a "beginning" and an "end". The first letter of the line segment's name is the beginning; the last letter is the end.

Line segment AB begins at point A and ends at point B.

The problem statement tells you what it means to locate point P so the segment is divided in the ratio 3:1.

  AP : PB = 3 : 1

  (P -A) / (B -P) = 3 / 1

  P -A = 3(B -P) . . . . . . . . multiply by (B-P)

  P +3P = A +3B . . . . . . . add A+3P

  P = (A +3B)/4

You can find point P by filling in the coordinate values in the formula just found.

_____

Comment on the general case

If you derive the formula for P dividing the segment in the ratio m : n, you find it is ...

  P = (nA +mB)/(m+n) . . . length ratios are applied in reverse to the end points

Answer:

tip is $6

Step-by-step explanation:

multiply 40 by 0.15 so 6

Answer:

the 11th term

Step-by-step explanation:

f(n) = 9+ 5n;

Let f(n) =64

64 = 9+5n

Subtract 9 from each side

64-9 = 9+5n-9

55 = 5n

Divide each side by 5

55/5 = 5n/5

11= n

Answer:

Angle X is 80 degrees mate

Step-by-step explanation:

How you may ask? Well since the angle CBD is given as 100 degrees, Angle BFH also becomes 100 degrees as corrosponding angles are always equal. If angle BFH becomes 100 degrees, Angle X becomes 80 degrees as 100+80=180 degrees.

Hope This Helped:)

Answer:

80

Step-by-step explanation:

The angle underneath the given one has to be 80 to form that straight line. And as you should know alternate interior angle are congruent meaning the angle you are looking for has to be 80.

Hope this helps :)

Answer:

(B)All right angles are congruent

Step-by-step explanation:

Given that:

[tex]\angle D$ is a right angle, and\\\angle E$ is a right angle\\\\\angle D=90^\circ\\\angle E=90^\circ\\$Therefore: \angle D \cong \angle E[/tex]

The reason for this congruency is that both are right angles and in fact, all right angles are congruent.

Answer:

9b-8

Step-by-step explanation:

6b+5b-2b-8

11b-2b-8

9b-8

Answer:

the second one

Step-by-step explanation:

correct me if it is wrong

Answer:

3. 2x + y = 21.

Step-by-step explanation:

3. The diagonals of a rhombus  are perpendicular and bisect each other.

So the slope of line AC  = -1/m

= -1 / 1/2 = -2.

AC has coordinates (5, 11) so using the point-slope form of a line:

y - 11 = -2(x - 5)

y = -2x + 10 + 11

2x + y = 21.

5.   Line L:

x + 2y = 12

2y = -x + 12

y = -1/2x + 6

The slope is -1/2 so the slope m of M is -1 / -1/2 = 2.

Answer:

x=1/4

Step-by-step explanation:

1.distribute the 7 and 3 into parentheses

2. combine like terms

3. add 9 on both sides

4. divide both sides by 4

x=1/4

hope this helped!

Answer:

x = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

7(x-3)+3(4-x)= -8

Expand 7(x-3) and 3(4-x)

i.e. 7x-21+12-3x= -8

4x-9=-8

Collect like terms

4x= -8+9

4x= 1

x = [tex]\frac{1}{4}[/tex]

Hope this helps!!!

Answer:

5 dollars

Step-by-step explanation:

If the price is 90 % off, we will pay 100 - 90 or 10 %

Take the original price times 10 %

50 * 10 %

50 * .10

5

Answer:

Step-by-step explanation:

Remember that the median represents the value at the middle, literally.

So, if 12 is the median, it means is the value at the center of the data set.

Now, according to the problem, there are 10 kids older than 12 and 10 kids younger than 12. That means there are 24 kids who doesn't have 12 years old.

Therefore, there are 25 kids in total.

Answer:

a. x = 1.2, b. A = 32.1°

Step-by-step explanation:

1.41²-.75²=x²

a. x = 1.2

sin A = 0.75/1.41

b. A = 32.1°

Answer:

2.5%

Step-by-step explanation:

55 grams * 0.001 kg/1 gram=

0.055kg/2.2 kg = 0.025 kg

0.025*100% = 2.5%

Answer:

Step-by-step explanation:

Answer:

Not a function

Step-by-step explanation:

This is not a function because there are different outputs for the same input.

Answer:

NOT A FUNCTION

Step-by-step explanation:

a function cant have multiple y coordinates for the same X

∞¬

ω

Answer:

(0,-2)(-2,-8)

Step-by-step explanation:

Answer:

(0,-2) (-2,-8)

Hope this helps

Answer:

The answer is C.

Step-by-step explanation:

You have to use Ditributive Law,

[tex]a(m + n) = am + an[/tex]

So for this question :

[tex](3x - 2)(x + 5)[/tex]

[tex] = 3x(x) + 3x(5) - 2(x) - 2(5)[/tex]

[tex] = 3 {x}^{2} + 15x - 2x - 10[/tex]

[tex] = 3 {x}^{2} + 13x - 10[/tex]

Answer:

C. 3x^2+13x-10

Step-by-step explanation:

Just did this on A-pex

Good job CHERLYN