Cody's car gets 24 miles per gallon of gas. (a) If St. Louis is 96 miles away, how many gallons of gas are needed to get there and then home? gallons (b) If gas is $3.04 per gallon, what is the total cost of the gas for the trip?

Answer: 0.28

Step-by-step explanation: Reviewed my quiz, got you covered

Answer:

2) 89%

Step-by-step explanation:

Answer:

area of triangle= 1/2*h*b

= 1/2*6*16

=3*16

= 48 yd²

This is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

65 x 160  / 100 = 104

Step-by-step explanation:

Answer:

A. 340 lbs

hope this helps

Answer:

440

Step-by-step explanation:

Y=Mx+b

y=40x+40

y=40(10)+40

y=400 + 40

y=440

Answer:

Step-by-step explanation:

a) To provide an example of a function N → N that is one-to-one but not onto.

Suppose [tex]f:N\to N[/tex]  to be [tex]f(n)=n^2[/tex]

Then; [tex]\text{a function } \ f: A \to B\ \text{is one-to-one if and only if } f(a) = f(b) \implies a = b \ for \ a, b \ \epsilon \ A.[/tex]

[tex]\text{a function } \ f: A \to B\ \text{is onto if and only if for every element } b \ \epsilon \ B \\ \text{there exist an element a} \ \epsilon\ A \ such \ that f(a) = b}[/tex]

Now, assuming [tex]a \ \Big {\varepsilon} \ N \& \ b \ \epsilon \ N;[/tex]

Then [tex]f(a) = f(b)[/tex]

[tex]a^2 = b^2 \\ \\ a = b[/tex]

The above function is said to be one-to-one

[tex]\text{it is equally understandable that not every natural number is the square of a natural number}[/tex]e.g

2 is not a perfect square, hence, it is not regarded as the image of any natural no.

As such, f is not onto.

We can thereby conclude that the function  [tex]f(n) = n^2[/tex] is one-to-one but not onto

b)

[tex]Suppose f: N \to N[/tex] be

[tex]f(n) = [n/2] \\ \\ For \ n =1, f(1) = [1/2] = [0.5] = 1 \\ \\ For \ n=2 , f(2) = [2/2] = [1] = 1[/tex]

It implies that the function is not one-to-one since there exist different natural no. having the same image.

So, for [tex]n \epsilon N[/tex] , there exists an image of 2n in N

i.e.

[tex]f(2n) = [2n/2] = [n] = n[/tex]

Hence, the function is onto

We thereby conclude that the function [tex]f(n) = [n/2] \text{ is onto but not one-to-one}[/tex]

c)

[tex]let f: N\to N[/tex] be  [tex]f(n) = \left \{ {{n+1, \ if \ n \ is \ even } \atop n-1 , \ if \ n \ is \ odd} \right.[/tex]

So, if n, m is odd:

Then:

[tex]f(n) = f(m) \\ \\ n-1 = m-1 \\ \\ n = m[/tex]

Likewise, if n, m is even:

Then;

[tex]f(n) = f(m) \\ \\ n+1 = m+ 1 \\ \\ n = m[/tex]

The function is then said to be one-to-one.

However, For [tex]n \epsilon N[/tex] and is odd, there exists an image of [tex]n - 1[/tex]that is even;

[tex]f(n - 1) = n -1 + 1 =n[/tex]

For [tex]n \epsilon N[/tex] and is even, there exists an image of [tex]n + 1[/tex]that is odd;

[tex]f(n - 1) = n +1 - 1 = n[/tex]

where(; implies such that)

Hence, this function is said to be onto.

We can therefore conclude that the function [tex]f(n) = \left \{ {{n+1, \ if \ n \ is \ even } \atop n-1 , \ if \ n \ is \ odd} \right.[/tex] is both onto and one-to-one.

d)

Here, to provide an example where the [tex]f:N \to N[/tex] is neither one-to-one nor onto.

SO;

Let [tex]f : N \to N[/tex] is defined to be [tex]f(n)=0[/tex]

Then, since every integer has the same image as zero(0), the function is not one-to-one.

Similarly, the function is not onto since every positive integer is not an image of any natural number.

We, therefore conclude that, the function [tex]f(n)=0[/tex] is neither one-to-one nor onto.

Answer:

55.50

Step-by-step explanation:

2(7.75)  = 15.5

15.5+3   = 18.5

3(18.5)   =55.5

$55.50

y = 700(1.05)^x,

plug in x=2

700(1.05)^2

= 700(1.05 times 1.05)

= 700(1.1025)

= 771.75

Answer:

40+20pi

10+10+10pi+10+10+10pi

Step-by-step explanation:

40+20pi

10+10+10pi+10+10+10pi

Answer:

C. F'(x) = x - 6 / 3

Step-by-step explanation:

[tex]y = 3x + 6[/tex]

[tex]x = 3y + 6 \\ x - 6 = 3y + 6 - 6[/tex]

[tex] \frac{x - 6}{3} = \frac{3y}{3} [/tex]

[tex]y = \frac{x - 6}{3} [/tex]

[tex]f1 = \frac{x - 6}{3} [/tex]

Answer:

do you have a picture for people to see

Answer:

dcijkchb dhcdnhujkcmnjic jni

Step-by-step explanation:

uducjkv

Answer:

4 6/7

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

4x - 3y = -18, then 4x = 3y - 18,                  x = (3y - 18)/4

6x + 7y = -4

substitute for x:

6((3y - 18)/4) + 7y = -4

(18y - 108)/4 + 7y = -4

4.5y - 27 + 7y = -4

combine like terms:

11.5y = 23

y = 2

check:

x = (3(2) - 18)/4 = -12/4 = -3

6(-3) + 7(2) = -4

-18 - 14 - -4

-4 = -4

so y = 2 is correct

Answer:

No, this can not be a triangle because if you use the Pythagorean theorem 5 squared plus 2 squared doesn't equal 10 squared.

Step-by-step explanation:

You take 5 squared and 2 squared and add them, you then find the square root and that should equal 10, if not its not a triangle.

Answer:

I believe it is -6

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

There are 4 red balls and 8 yellow balls.

Therefore, there are total 12 balls in the bag.

n(S) = 12

Let A be the event when the ball drawn is not a red ball.

The balls which are not red will be yellow balls and there are 8 yellow balls so,

n(A) = 8

Probability that the ball drawn randomly from the bag is not a red ball,

p(A) = n(A) / n(S)

= 8/12

= 2/3

Therefore, the probability of the ball drawn randomly is not a red ball is 2/3.

Answer:

w-(v+4)

Step-by-step explanation:

please give brainliest

Answer:

160 ounces

Step-by-step explanation:

16 ounces=1 pound

10x16=160

Answer:

4*3/4* 7=21 bones per week

Answer:

= 4 ¾ × 7

= 33.25 snack bones

C: 66 degrees. Hope this helped!

Answer:

C. It would be shifted down.

General Formulas and Concepts:

Algebra I

Reading a Cartesian Plane

Functions

Graphing

Coordinates (x, y)

The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

[Original Function] y = 12x + 7

[Transformed Function] y = 12x + 2

Step 2: Identify

Compare functions to general form.

[Original Function] Slope m = 12, y-intercept b = 7

[Transformed Function] Slope m = 12, y-intercept b = 2

Step 3: Compare

We see that they both have the same slope m of 12, so A and B can be eliminated as the slopes don't change and therefore would not be steeper or less steep.

Now comparing the y-intercept b's, we see that the original function has a bigger b than the transformed function. This tells us that the original function will start higher than the transformed function.

We can also graph both equations and see what happens to the original equation.

∴ the answer would be C. It would be shifted down.

Answer:

GOT U

Step-by-step explanation:

Mean = 81.5

Median =93.5

Mode = 98

Answer:

Step-by-step explanation:

Answer:

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

37% of the company's orders come from first-time customers.

This means that [tex]p = 0.37[/tex]

A random sample of 225 orders will be used to estimate the proportion of first-time-customers.

This means that [tex]n = 225[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.37[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.37*0.63}{225}} = 0.0322[/tex]

What is the probability that the sample proportion is between 0.26 and 0.38?

This is the pvalue of Z when X = 0.38 subtracted by the pvalue of Z when X = 0.26.

X = 0.38

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.38 - 0.37}{0.0322}[/tex]

[tex]Z = 0.31[/tex]

[tex]Z = 0.31[/tex] has a pvalue of 0.6217

X = 0.26

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.26 - 0.37}{0.0322}[/tex]

[tex]Z = -3.42[/tex]

[tex]Z = -3.42[/tex] has a pvalue of 0.0003

0.6217 - 0.0003 = 0.6214

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

Answer:

The first two equations.

Step-by-step explanation:

The first equation:

x² - 100 = 0

x² = 100

√x² = √100

x = ±10

x = 10 or -10

Second equation:

(x - 6)² = 25

√(x - 6)² = √25

x - 6 = ±5

x - 6 = 5 or x - 6 = -5

x = 11 or 1

It seems that for the other two equations, you have to complete the square and factor them out.

The ratio of non-members to the total group size is to be considered as the  option  C. 11 to 5

Since

In a small group, the ratio of club members to non-members is 6 to 5.

So, the total members should be

= 6 + 5

= 11

Now the ratio be like 11 to 5

Hence, the option c is correct.

Learn more about ratio here: https://brainly.com/question/13021566