During a test drive, a self-driving car travels a distance of 50 miles in 80 minutes. How many miles will the car travel after 320 minutes?

Answer:

Explanation:

Here, we want to fill the sequence, write the recursive and explicit formulae

From the sequence, we can see that each of the numbers are perfect squares

Depending on the term, the number is squared

Take for example, 1^2 is 1, 2^2 is 4

The correct way of filling is thus to raise the term number to 2

So, we have to fill for the 4th term, the 6th term, the 7th term and the 8th term

We have that as follows:

The sequence can then be written as:

Now, we want to write the explicit and recursive formula

The explicit formula is written in a way that it does not consider the term before the present term

We can easily write that as:

For the recursive formula, we write it as a mathematical function that takes into account the term before or after the current term

A point to note that there are odd number differences that increase by 3 as we move from term to term

We can see that:

Term 2 minus Term 1 is 3

Term 3 minus Term 2 is 5

Term 4 minus Term 3 is 7

Term 5 minuus Term 4 is 9

Thus, we have the recursive formula as:

Answer:2,7

Step-by-step explanation: I honestly don’t know this might not be right

Answer:

117.2

Step-by-step explanation:

P=a+b+a2+b2=50+15+502+152≈117.20153

The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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4y - x = 35

The given points are A(3, 7) and B(2, 11)

The general equation of a line with the points A(x₁ , y₁) and B(x₂ , y₂) is :

Putting these values into the general line equation:

For the line parallel to the lines formed by the points slope = -1 / m

Slope = -1 / 4

Answer:

D -4

Step-by-step explanation:

rise over run rise=-12 run= 3 - 12/3 simplified is -4

Answer:

4

Step by step

you move 12 spots to get to 8 from -4 and 3 to get from -1 to 2 then you do 12/3

Answer:

x = -8, x =0  and x =6

Step-by-step explanation:

f(x) = 0 means when it crosses the x axis or when y = 0

There are 3 places when it crosses the x axis

x = -8, x =0  and x =6

The probability of event A given the event B is 0.35 or 7/20.

It is given that A and B are two events.

Given probabilities are as follows:

Probability of A and B is = P(A and B) = 0.14

Probability of B = P(B) = 0.4

We know that the conditional probability of event A given B is given by,

P(A | B)

= P(A and B)/P(B)

= 0.14/0.4 [Substituting the value which are given]

= 14/40

= 7/20 [Eliminating the similar values from numerator and denominator]

= 0.35

Hence the probability of event A given the event B is 0.35 or 7/20.

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Answer:

You started correctly....

Step-by-step explanation:

d = c/n      Multiply both sides by 'n'

dn = c        now divide both sides of the equation by 'd'

n = c/d       Done.

Answer:

3?

Step-by-step explanation:

The possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.

Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)

We have a quadratic equation:

(k - 1)x² + (4k)x + k -3 = 0

Here,

a = k - 1

b = 4k

c = k - 3

As we know for distinct real roots:

D > 0

\(\rm {b^2-4ac}} > 0\)

(4k)² - 4(k-1)(k-3) > 0

\(\rm 16k^2-4\left(k-1\right)\left(k-3\right) > 0\)

\(\rm 12k^2+16k-12 > 0\)

\(\rm 3k^2+4k-3 > 0\)

\(\rm 3\left(k+\dfrac{2}{3}\right)^2-\dfrac{13}{3} > 0\)

\(\rm 3\left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{3}\)

\(\rm \left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{9}\)

\(\rm k < \dfrac{-\sqrt{13}-2}{3}\quad \mathrm{or}\quad \:k > \dfrac{\sqrt{13}-2}{3}\)

or

\(\rm k < -1.868 \quad \mathrm{or}\quad \:k > 0.535\)

Thus, the possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.

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The first diagram shows the parallel lines cut by a transversal.

According to the statement

We have to explain all about the parallel lines cut by a transversal.

So, For this purpose, we know that the

A transversal line is a line that passes through two lines in the same plane at two distinct points.

And

Parallel lines are lines in a plane that are always the same distance apart.

From the given information:

In the given pictures we see that there are the presence of the two parallel lines and a one line is passes through these lines and cut the two parallel lines and there is a formation of the some angles in it.

And by property and the behavior of the transversal line to the parallel lines.

The diagram in first option shows a perfect lines that must be parallel lines cut by a transversal.

So, The first diagram shows the parallel lines cut by a transversal.

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Answer:

1 3/5

Step-by-step explanation:

It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.

Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.

They are in the best position to provide you with the necessary guidance and support.

Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.

This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.

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Answer:

I think the solution is x=84 if this is correct can u mark me brainliest

Answer:

Step-by-step explanation:

This problem can be solved by using the logarithm function.

Isolate the term of x from one side of the equation.

First, you divide by -6 from both sides.

\(\Longrightarrow: \sf{\dfrac{-6\log _3(x-3)}{-6}=\dfrac{-24}{-6}}\)

Solve.

Divide the numbers from left to right.

-24/-6=4

Rewrite the problem down.

\(\Longrightarrow: \sf{\log _3(x-3)=4}\)

x-3=81

Add by 3 from both sides.

\(\Longrightarrow:\sf{x-3+3=81+3}\)

Solve.

Add the numbers from left to right.

81+3=84

\(\Longrightarrow: \boxed{\sf{x=84}}\)

I hope this helps you! Let me know if my answer is wrong or not.

The given two ratios are not form a proportion.

Ratio is defined as the comparison of two quantities of the same kind by the method of division.

Proportion is an equation it is formed when two ratios are equivalent to each other.

The given two ratios are 4/8 and 1/7.

i.e., 4:8 and 1:7

By simplifying this ratio 4:8 we get 1:2

That is these two ratios are not equal.

proportion is formed only when the two ratios are equal.

Hence, the given two ratios are not form a proportion.

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Answer: 24km^2

Step-by-step explanation: The area of the middle rectangle of the trapezoid is 3×4=12. The two triangles on the sides are both 3-4-5 right triangles and have a combined area of 12 units^2. 12+12=24!

In the given graphs, the first and third graphs are connected graphs.

A connected graph is a collection of vertices, or points, and edges, or lines, such that there is a path between every pair of vertices.

This means that it is not possible to find any isolated vertices or disjoint subsets of vertices, and every vertex is connected to at least one other vertex.

The edges of a connected graph represent the relationships or connections between the vertices.

Here we have 3 graphs

In the first graph, every vertex is connected to other vertices and we can go from one node to another node

Hence, The first graph is a connected graph

In the second graph, there are two graphs that are not connected to other. Hence, The Second graph is not a connected graph

In the third graph, every node is connected

Hence, The third graph is a connected graph.  

Therefore,

In the given graphs, the first and third graphs are connected graphs.

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Number of People who knows the Code are 6401

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let, Number of People who kows the Code be x

Number of Peoplee who do not know the Code be y

According to the Question:

x + y = 7338 ----------(i)

2x + 5y = 17487 ----------(ii)

Multiplying Equation (i) by 2

2x + 2y = 14676 ---------(iii)

Substracting Equation (iii) from Equation (ii)

3y = 2811

y = 937

This means x = 6401

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Answer:

Step-by-step explanation:

Typically yes you need to know

Mean

Median

Mode

and Range

Mean = average, add all numbers then divide by how many

Median = midpoint, middle number.  Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers

Mode = numbers that occurs the most in the list of numbers

Range = This is the largest number minus the smallest number.  

Answer:

The slope of 5 means that for each product sold, the profit increases by 5, and the intercept of -2500 means that if no products are sold, the company loses 2500.

Step-by-step explanation:

Linear function:

A linear function has the following format:

\(y = mx + b\)

In which m is the slope, that is, by how much y changes for each unit of x, and b is the y-intercept, which is the values of y when x = 0.

In this question:

\(p(q) = 5q - 2500\)

p is the profit in dollars and q is the quantity of its product sold.

a) Explain what the slope and y-intercept mean in the context of the problem.

The slope of 5 means that for each product sold, the profit increases by 5, and the intercept of -2500 means that if no products are sold, the company loses 2500.

The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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The mode of the data set is 7

The median is 6

the mean is 5.2

The range is 7

This is the number with the highest frequency or occurrence. This is 7

arrange based on ascending order

1, 2, 3, 4, 5, 7, 7, 7, 8, 8

median = 5 + 7 / 2

= 6

add all the numbers / total number

52 /10

= 5.2

The range = highest - lowest

= 8 - 1

= 7

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The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

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Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

Answer:

10

Step-by-step explanation: