In the past year and a half, Gnarly the dog lost an average of 2/9 pound each month. Today, Gnarly weighs 14 pounds. How much did Gnarly weigh a year and a half ago?

Answer:

a9 = 26

Step-by-step explanation:

nth term of an arithmetic sequence an = a + (n-1)d

a16 = a+15d = 12.... 1

a7 = a+6d = 30.....2

Subtract

15d - 6d = 12 - 30

9d = -18

d =-18/9

d = -2

Substitute d = -2 into 1

a + 15d = 12

a+15(-2) = 12

a - 30 = 12

a = 12 + 30

a = 42

Get a9;

a9 = a+8d

a9 = 42+8(-2)

a9 = 42 - 16

a9 = 26

hence the 9th term of the sequence is 26

Answer:

List all the factors of 40

Step-by-step explanation:

Answer:

The calculated test  |Z| = |-1.55| >1.405 at 0.08 level of significance

The null hypothesis is rejected at a 0.08 level of significance.

An Alternative hypothesis is accepted

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour

Step-by-step explanation:

Step(i):-

Given that the mean life of a certain type of light bulb is at least 754 hours

Given that the random sample size 'n' =29

Given that the mean life of sample x⁻ = 737

Given that the standard deviation of the Population = 59

Step(ii):-

Null hypothesis: H₀: μ≥ 754

Alternative Hypothesis:H₁: μ≤ 754

Test statistic

           [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

           [tex]Z = \frac{737-754 }{\frac{59}{\sqrt{29} } }[/tex]

           Z =  -1.55

The calculated test  |Z| = |-1.55| >1.405 at 0.08 level of significance

The null hypothesis is rejected  at 0.08 level of significance

Final answer:-

The calculated test  |Z| = |-1.55| >1.405 at 0.08 level of significance

The null hypothesis is rejected at a 0.08 level of significance.

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour

Answer:

2. dM/dt = -0.11M

Step-by-step explanation:

Differential equations for proportional amouts:

A differential equation for proportional amounts is given by:

[tex]\frac{dx}{dt} = ax[/tex]

In which a is the constant rate. If the amount increases, a is positive. If it decays, b is positive.

In this question:

Decays, so a < 0.

Proportional to the amount of the substance present at a given time, which means that a multiplies the amount M.

This means that the correct answer is given by option 2.

Answer:

$7.75

Step-by-step explanation:

Given: Adults = 4, Children = 5, All worth = $15, Total cost = $71, Each child's ticket = $5

To find: How much the adult tickets are

Solution: Use the 5 tickets at $5 to get $25

Add the $15 for concessions to reach $40

                            25 + 15 = 40

Subtract $40 from the 71 spent to get $31

                            71 - 40 =  31      

Now, divide the 31 by 4 for the number of adults which equals $7.75

                             31 ÷ 4 = 7.75

So, the cost of the adults' tickets is $7.75

Answer:

you are 13 and she is 25

Step-by-step explanation:

Math

Answer:

16 2/3

Step-by-step explanation:

Answer:

343

Step-by-step explanation:

f(x) = x - 1 and g(x) = x^3

g(f(8))

First find f(8) = f(8-1) = 7

Then find g(7) = 7^3 = 343

g(f(8) = 343

Answer:

I will assume that you meant to type (g o f)(8).

First we find f(8).

f(8) = 8 - 1 or 7.

We now find g(f(8)), which means g(7).

g(7) = 7^3 or 343

(g o f)(8) = 343:

Answer:

i think its 22.22 thats my guess

Answer:

[tex]\frac{1}{45}[/tex] kilometers

Step-by-step explanation:

60 minutes = 3600 seconds

[tex]\frac{40}{3600} =\frac{y}{2}[/tex]

3600y = 80

3600y ÷ 3600 = 80 ÷ 3600

[tex]y=\frac{1}{45}[/tex]

Answer:

sorry I need points

Step-by-step explanation:

so so so sorry :(

Answer:

New coordinates of the point Z are (-6, 9)

Step-by-step explanation:

If a point (x, y) is rotated 180° about the origin, coordinates of the image point is given by the rule,

(x, y) → (-x, -y)

Coordinates of the vertex Z → (6, -9)

Following the same rule,

Z(6, -9) → Z'(-6, 9)

Therefore, coordinates of the new (image) point will be (-6, 9).

Answer: D!! also 35% are spotted

Answer:

The answer is a.

Step-by-step explanation:

This is because the percent is out of 100 and the flock of spotted sheep is placed in the numerator.

Answer:

1/8 teaspoon of vanilla is needed to make 5 cookies

Step-by-step explanation:

1) 1/2 teaspoon of vanilla makes 20 cookies

2) you only need 5 cookies which is 1/4 as many cookies as before

3) you must 1/4 your recipe

4) 1/2 divided by 4 = 1/8

E.

It gives a very precise question which will give much data.

Answer:

V = 23 cm 3

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Sinx = 10/12

x = 56

Answer:

x=17

Step-by-step explanation:

The angles present are Alternative interior angles. That means that they are congruent. Meaning 4x+7 = 75. To solve for 7, you subtract 7 from both sides. That leaves you with 4x=68. Then you divide both sides with 4. Then you get x=17.

Hope this helps!

BTS!!

Answer:

x = 17

Step-by-step explanation:

75° and (4x + 7)° are alternate interior angles.

If two lines are cut by a transversal, then the alternate interior angles are congruent.

75 = 4x + 7

=> 4x = 68

=> x = 17

Answer: C. 10x-3

Step-by-step explanation: I got this question correct on Edmentum.

The value of the expression will be 10x – 3. Then the correct option is C.

The value that approaches the output for the given input value. Limits are a very important tool in calculus.

The function is defined as,

f(x) = 5x² – 3x + 2

Then the value of the expression will be

[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}[/tex]

Substitute the value of the function, then the value of the expression will be

[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5(x+h)^2 - 3(x + h) + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5x^2 + 5h^2 + 10xh - 3x - 3h + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{ 5h^2 + 10xh - 3h }{h}\\[/tex]

Simplify the equation further, then we have

[tex]\rightarrow \displaystyle \lim_{h \to 0} 5h + 10x - 3 \\[/tex]

Substitute the value of the h = 0, then the value of the expression will be

⇒ 5(0) + 10x – 3

⇒ 10x – 3

Then the correct option is C.

More about the limit link is given below.

https://brainly.com/question/8533149

#SPJ2

Answer:

=8x+132

Step-by-step explanation:

Combine Like Terms:

=7+8x+45+80

=(8x)+(7+45+80)

=8x+132

Give me brainllest plz T-T

The Answer Is Y=-8x

This is because x is multiplied by -8 to find y.

Answer:

a

Step-by-step explanation:

kkkkkkkkkkkkkkkkkkkkkkk

Answer:

a. h(x)=(x+2) (x-3) (x+4)

Step-by-step explanation:

The zeros of the function are -2, 3 and -4:

(x=-2) (x=3) (x=-4)

(x+2) (x-3) (x+4)

Answer:

no

Step-by-step explanation:

no, because 24 is not divisible by five. If you divide 24/5, you will be left with 4+4/5, and you can't have 4/5 of a piece and have them all be the same length

Answer:

65

Step-by-step explanation:

using the ratio we can find the side lengths of the other triangle.

since it is 2:5

6:x=2:5

so x = 15(first side)

8:x=2:5

so x = 20(second side)

12:x=2:5

x=30(third side)

so then we add them up

15+20+30

65

hope this was helpful

Answer:

-131

Step-by-step explanation:

You should add the minus sign before the number 131

Answer:

1. C

2.B

Step-by-step explanation:

Force is a push or a pull.. can be a twist too

to make an object move you have to apply force by pushing of pulling the object.

Answer:

It's 18

Step-by-step explanation:

30/100 x 60/1

180/100 =18

Answer:

18

Step-by-step explanation:

Here. We are going to multiply both sides of the equation by this fraction 100 over 30 100 over 30.

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

What do we see in triangle -- adj and hyp

cosine since it is SOH CAH TOA

cos(14)/1 =x/480

Answer = 465.74 the real rounding is 466

Answer:

3(y+z)

Step-by-step explanation:

y+z is added first so it is in parentheses and then multiply by the 3