It took Luca 8 hours to drive 464 miles from Richmond VA to Cleveland, OH. In miles per hour, what was Luca's average trip?
-process

Answer:

r = 7.50 + (1.10 × (m - 1))

r = 7.50 + (1.10 × (9 - 1))

r = 16.40

The total uber rate for 9 miles is $16.3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

First-mile charge = $7.50

Additional charges after the first mile = $1.10

The total charge for 9 miles.

r = 7.50 + 1.10 x 8

r = 7.50 + 8.8

r = $16.3

Thus,

The total rate for 9 miles is $16.3.

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Step-by-step explanation:

=>(b*-b²)+(b*4b)-(b*3b)-(2*-b²)+(2*4b)-(2*3b)

=>-b³+4b²-3b²-2b²+8b-6b

=>-b³+b²-2b²+2b

=>-b³-b²+2b

Answer: 1/5 with an exponent of 5.

hope this helps :)

Answer:

24

all u have to do is draw out a tree diagram or multiply 6*4

Answer:

542.592

Step-by-step explanation:

3.14 x 8 squared + 3.14 x 8 x 13.6

Answer:

what do you need help with

Step-by-step explanation:

in order for me to answer you need to pit the problem

Answer:

7

Step-by-step explanation:

4 x 7 is 28

7 full boxes

random characters so I can submit this anwser to you

Answer:

90x+(-7y)=x+y

Step-by-step explanation:

i think

Answer:

Step-by-step explanation:

a.10^4=10000

b.10×9×8×7=5040

Answer:

0.0629 dg

Step-by-step explanation:

A centigram is a dekagram multiplied by 1000, so dividing 62.9 by 1,000 will get us 0.0629 dg.

Answer:

9%

Step-by-step explanation:

Given that

The invested amount is $1,000

The future value is $2,400

The time period is 12 years

We need to find out the annual rate that compounded continously

So,

As we know that

Amount = Present value × e^(rate × time)

$2,500 = $1,000 × e^(rate × 12)

2.5 = e^(rate × 12)

ln 2.5 = 10r

ln 2.5 ÷ 10 = r

r = 9%

Answer:

1

Step-by-step explanation:

a) The number of possible access codes is 1000.

b) The probability of randomly selecting the correct access code on the first try is 1/1000

c) The  probability of not selecting the correct access code on the first try is 999/1000.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

a) There are 10 digits from 0 to 9.

First digit= 10 ways

Second digit= 10 ways

Third Digit = 10 ways

Then, possible outcomes

= 10 x 10 x 10

= 1000  

b) Exactly 1 out of 1000 codes will be correct

Favorable outcomes= 1

so, probability of randomly selecting the correct access code on the first try

= 1/1000

c) The probability of not selecting the correct access code on the first try.

=1- 1/1000

= 999/1000

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Answer:

yeah they are the same

Step-by-step explanation:

-2.11428571429

Step-by-step explanation:

By using the commutative property, regardless of how the numbers are listed using addition or multiplicaton, they will equal the same thing.

So, a+b=b+a, which is what is present for your question.

The set that would be considered as subset V = {1,3,5} i.e set of odd numbers

A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. The subset relationship is denoted as A⊂B. A set is a collection of objects or elements, grouped in the curly braces, such as {a,b,c,d}. If a set A is a collection of even number and set B consists of {2,4,6}, then B is said to be a subset of A, denoted by B⊆A and A is the superset of B.

In the set 1,2,3,4,5 contains odd numbers and even numbers. But there are just 2 even numbers and 3 even numbers.

But the subset V of the numbers above must contain 3 numbers, this means that subset V will contain odd numbers from 1 to 5.

Therefore, This means that subset V = { 1,3,5}

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Answer:

D. 49

Step-by-step explanation:

Answer: To determine which store has the cheaper steak, you need to compare the price per pound of steak at each store. To do this, divide the total price by the number of pounds of steak at each store.

At Store A, the price per pound of steak is $6.38 because 25.50 / 4 = <<25.50/4=6.375>>6.375.

At Store B, the price per pound of steak is $6.71 because 40.25 / 6 = <<40.25/6=6.708>>6.708.

Therefore, Store A is cheaper because it has a lower price per pound of steak. The correct answer is Store A.

Step-by-step explanation:

Answer:

Translation

Step-by-step explanation:

It only moved, without changing in size, rotating, or being reflected. so its been translated.

Answer: B

Step-by-step explanation:

its B

Answer:

units

Step-by-step explanation:

Answer:

Just units

Step-by-step explanation:

The circumference is neither squared nor cubed, and it has to be labeled.

Answer:

D

Step-by-step explanation:

Answer:

a)

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b) The mean is 1 and the standard deviation is 0.9899.

c) [tex]P(X \geq 48) = 0[/tex]

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

From past experience, she is successful on 2% of her calls.

This means that [tex]p = 0.02[/tex]

50 calls.

This means that [tex]n = 50[/tex]

a. This is binomial distribution. Explain using the BINS method why this is so.

BINS: Binary outcomes, Independent Trials, n is fixed, and same value of p for all trials.

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b. Find the mean and standard deviation of X.

The mean is:

[tex]E(X) = np = 50*0.02 = 1[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.02*0.98} = 0.9899[/tex]

The mean is 1 and the standard deviation is 0.9899.

c. Find the probablity of P(X>or equal to 48)

This is:

[tex]P(X \geq 48) = P(X = 48) + P(X = 49) + P(X = 50)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 48) = C_{50,48}.(0.02)^{48}.(0.98)^{2} \approx 0[/tex]

[tex]P(X = 49) = C_{50,49}.(0.02)^{49}.(0.98)^{1} \approx 0[/tex]

[tex]P(X = 50) = C_{50,50}.(0.02)^{50}.(0.98)^{0} \approx 0[/tex]

So

[tex]P(X \geq 48) = 0[/tex]

False, the function f(x)=[tex]-3x^3 + x^2 +2x[/tex] does not rises as x grows very small.

First, we need to know that functions are described as laws, expressions or rules that are used to show the relationship between two variables in an equation.

These variables are known as;

The function f(x) =[tex]-3x^3 + x^2 + 2x[/tex]  does not rise as x grows very small. When x approaches negative infinity, the dominant term is [tex]-3x^3[/tex], which becomes increasingly negative.

Therefore, the function decreases as x grows very small in the negative direction.

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Answer:

C, neither.

I've attached a picture of what it looks like when you plot it on a graph. As you can see, it is neither. So the answer is C

Hope this helped :)

Answer:

[tex] \sqrt[4]{16} [/tex]

Answer:

D. Every term in Pattern B is 1/4 the corresponding term in Pattern A.

Step-by-step explanation:

Given

[tex]A:0\ 12\ 24\ 36\ 48[/tex]

[tex]B: 0\ 3\ 6\ 9\ 12[/tex]

Required

The true statement

Option D is true, and the proof is as follows.

The interpretation of D is:

[tex]B = \frac{1}{4}A[/tex]

When [tex]A = 0[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 0 = 0[/tex]

When [tex]A = 12[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 12 = 3[/tex]

When [tex]A = 24[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 24 = 6[/tex]

When [tex]A = 36[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 36 = 9[/tex]

When[tex]A = 48[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 48 = 12[/tex]

Compare the calculated values with the given values of B, we have:

[tex]B: 0\ 3\ 6\ 9\ 12[/tex] --- Calculated

[tex]B: 0\ 3\ 6\ 9\ 12[/tex] --- Given

Hence, (d) is correct

Answer:

d yw

Step-by-step explanation:

i took the test

Answer:

❝ D. 13 feet ❞

Step-by-step explanation:

Here,

According to the properties of rectangle,

→ Diagonals of a rectangle are equal.

So, here the length of other diagonal will be 13 feet too.

D. 13 Feet

Step-by-step explanation:

Answer:

C. 25

Step-by-step explanation:

Have a great day!

Answer:

D. (7, -7)

Step-by-step explanation:

The only coordinates on the coordinate plane are:

(1, 7 ), (-7, 1 ), and (-7, 7).

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

[tex]lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5[/tex]

from the graphs n f (x) and g( x) are 1 and 5 .

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Answer:

  C

Step-by-step explanation:

You want the equations of the circle and ellipse in the given figure.

The standard form equation for an ellipse is ...

  [tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]

where 'a' and 'b' are the semi-axes in the x-direction and y-direction, respectively.

You will notice that when a=b=r, the ellipse becomes a circle and the equation can be rewritten as ...

  [tex]\dfrac{x^2}{r^2}+\dfrac{y^2}{r^2}=1\ \Longleftrightarrow\ x^2+y^2=r^2[/tex]

Here, the radius is 3, the same as the semi-major axis in the x-direction (a=3). The ellipse axis in the y-direction appears to be about 1/3 that value, so b=1, and the equations of the circle and ellipse are ...

  [tex]x^2+y^2=9\qquad\text{circle}\\\\\dfrac{x^2}{9}+\dfrac{y^2}{1}=1\qquad\text{ellipse}[/tex]