Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.

Answer:

The given function is

[tex]h(x)=log_{\frac{1}{3} } (x)[/tex]

It's important to know that logarithms are the opposite function to exponentials, which means their domains and ranges are defined the opposite way.

The domain of logarithms is restricted, because negative numbers or the zero is not allowed in their domains. So, the domain of this function is: [tex]D:(0, infinite][/tex]

On the other hand, its range is not restricted, so it's defined: [tex]R: (infinite, -infinite)[/tex]

The image shows the graph of this function, there you can observe its domain and range set definitions.

Answer:

sorry dont know

Step-by-step explanation:

good luck tho

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f(x) = 0.5x-1.5x+1

4x<-1

-1 ≤ x ≤ 3

x < 3

Answer:

Step-by-step explanation:

Quotient means result of division

anything raised to 0 is 1

(-3)^0 = 1

(-3)^2 = -3 * -3 = 9

Quotient = 1/9

Answer:

1/9

Step-by-step explanation:

Answer:

[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]

And we can find the probability of interest with this difference

[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]

And if we use the normal standard table or excel we got:

[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]

And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %

Step-by-step explanation:

Let X the random variable that represent the times to conmutes to work of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(41,3)[/tex]  

Where [tex]\mu=41[/tex] and [tex]\sigma=3[/tex]

We are interested on this probability

[tex]P(33<X<35)[/tex]

And we can solve the problem using the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And using this formula we got:

[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]

And we can find the probability of interest with this difference

[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]

And if we use the normal standard table or excel we got:

[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]

And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %

Answer:

393.75 m^3

Step-by-step explanation:

to find the volume, u need to multiply the length by the width by the height . when u multiply the 3 numbers u will get 393.75 m^3

Answer:

a²+b²=c²

Step-by-step explanation:

a and b are the short legs of the triangle and c is the long edge (the hypotenuse). so if you take leg a and square it, then add it to leg b and square it then you will get the length of the hypotenuse

Answer:

the answer is 10 i think

Answer:

15

Step-by-step explanation:

you have to take 98 away from 113.

Answer:

X= 15

Step-by-step explanation:

Answer: [tex]x=12[/tex]

Step-by-step explanation:

[tex]9+9=3(x-6)[/tex]

simplify: add the 9's together and distribute the 3

[tex]18=3x-18[/tex]

add 18 to both sides

[tex]36=3x[/tex]

divide by 3

[tex]12=x[/tex]

[tex]x=12[/tex]

Answer:

1.47070788E36

Step-by-step explanation:

Answer:

a = 47

b = 23.87

c = 90

d = 35.59

Step-by-step explanation:

I can only help this much. Not sure what the other two others below are asking

Answer:she will have $25 left .

Step-by-step explanation:

0.25(60)  = 15

$40 - $15 = $ 25

Surface area = [tex]\frac{4}{3} \pi r^{3}[/tex] = [tex]\frac{4}{3}[/tex] x 3.14 x 3 x 3 x 3 = 3.14 x 4 x 3 x 3 = 113.04 yd^2 = approx. 113.1 yd^2

Answer:

B) 9 cm

Step-by-step explanation:

Just look at the triangle and use Pythagoras theoreum.

a² + b² = c²

a = 9 9 - 4.9 = 5

b = ?

c = 10

5² + b² = 10²

b² = 100 - 25

b² = 75

b = + - SQRT( 75 )

{Only the positive term has a meaning here.}

b = 8.66 rounded that is 9, which is answer B.

Answer:

center = [tex](-4,8)[/tex]

Radius = 7 units

Step-by-step explanation:

Given: Equation of circle is [tex]x^2+y^2+8x-16y+31=0[/tex]

To find: Radius and center of the circle

Solution:

Equation of circle is [tex](x-a)^2+(y-b)^2=r^2[/tex]

Here, [tex](a,b)[/tex] is the center and r is the radius.

[tex]x^2+y^2+8x-16y+31=0\\\left [ x^2+2(4)x+4^2 \right ]+\left [ y^2-2(8)y+8^2 \right ]+31=4^2+8^2[/tex]

Use formula [tex](u+v)^2=u^2+v^2+2uv[/tex]

[tex](x+4)^2+(y-8)^2=16+64-31\\(x+4)^2+(y-8)^2=49=7^2[/tex]

On comparing this equation with equation of circle,

center = [tex](-4,8)[/tex]

Radius = 7 units

Answer:

center: (4,-4)

Radius: 9

Step-by-step explanation:

KHAN ACADEMY

Answer:

6

Step-by-step explanation:

because 36 is a perfect square root.

Answer:

10.10

Step-by-step explanation:

Answer:

(40+20)^d=c

Step-by-step explanation:

Answer:= let me double check yall

Step-by-step explanation:40+20+c+d

Answer:

-243

Step-by-step explanation:

Answer:

What are you options

Step-by-step explanation:

Answer:48

Step-by-step explanation:

Answer:

48 pecies

Step-by-step explanation:

Odun's share=80x 6/10

Odun's share=48

Hope you understand

Answer:

It should be d, The bases do not have the same area because the volumes are not the same.

Step-by-step explanation:

did it on the unit review test

The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

The volume of a cone is given by the formula:

A = πr²h/3

The volume of a cylinder is given by the formula:

A = πr²h

It is given that the height of both the cylinder and the cone is the same.

This means that the only way variable that influences the volume is the radius of the base.

The volume of the cylinder is three times the volume of the cone when the radius and height are equal.

But the volume of the cylinder is two times the volume of the cone in the given question.

This means that they have different radii which means that the bases are different.

Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.

Learn more about cylinders and cones here: https://brainly.com/question/331787

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Answer:

The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

It is stated that the distribution of tree diameters is approximately normal, hence, this is a normal distribution problem with

Mean diameter = μ = 8 inches

Standard deviation = σ = 2.5 inches

The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = P(x < 5.5)

To solve this, we first normalize or standardize 5.5 inches

The standardized score for 45mg/L is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (5.5 - 8)/2.5 = - 1.00

The required probability

P(x < 5.5) = P(z < -1.00)

We'll use data from the normal probability table for these probabilities

P(x < 5.5) = P(z < -1.00) = 0.15866

Hope this Helps!!!

Answer:

G. Oatmeal is the favorite type of cereal for 15% of the children

Step-by-step explanation:

Oatmeal is 15/50 of the students' favorites, so it would actually be 30% therefore it is not supported. Hope this was helpful! :)

Answer:

a:) combination

b:) permutation

c:) combination

Step-by-step explanation:

There are 330 ways the coach can select a batting order of seven players from an 11 person team. Therefore, option B is the correct answer.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

To determine the number of ways the coach can select a batting order of seven players from an 11 person team, we can use the combination formula, which is given by:

nCr = n! / r!(n-r)!

where n is the total number of players on the team, and r is the number of players in the batting order. In this case, n = 11 and r = 7.

So, the number of ways the coach can select a batting order of seven players from an 11 person team can be calculated as follows:

11C₇ = 11! / (7!(11-7)!)

= (11 x 10 x 9 x 8) / (4 x 3 x 2 x 1)

= 330

Therefore, option B is the correct answer.

To learn more about combination here:

brainly.com/question/17196495.

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Answer:

On the circle

Step-by-step explanation:

I dont know the exact way to do this, but i graphed them, then drew a circle, and it was in the line. So i think its on the line

Answer:inside

Step-by-step explanation:

The distance from A to M is sq rt of 41

The distance from A to V is sq rt of 40

Answer:

Youth tickets = $4

Step-by-step explanation:

Let x and y represent the price of adults and youth tickets respectively;

Given;

A youth ticket is half the price of an adult ticket

y = 0.5x ......1

They paid $24 for 2 adult tickets and 2 youth tickets.

2y + 2x = 24 ......2

Substituting equation 1 into 2;

2(0.5x) + 2x = 24

x + 2x = 24

3x = 25

x = 24/3 = 8

Since, y = 0.5x

y = 0.5(8) = 4

Adult tickets = $8

Youth tickets = $4

Answer:

4k + 6

Step-by-step explanation:

Answer:

Three squares that form right triangle:

A, E and C

Step-by-step explanation:

Area of E = 1^2 = 1

Area of A = 2.4^2 = 5.76

Area of C = 2.6^2 = 6.76

Area A + Area E = Area C