The scale of a map is 1 inch : 250 miles. City A is 750 miles from City B. How far is its distance on the map?

Answer:

ok I would give answer that is 85.5mi^2

The values are;

Length = 6 inches

Width = 14 inches

The formula for determining the perimeter of a rectangle is expressed as

P = 2( l + w)

Where;

From the information given, we have;

Length = x

Width = 2(x + 1) = 2x + 2

Now, substitute the values

40 = 2( x + 2x + 2)

expand the bracket

40 = 2(3x + 2)

40 = 6x + 4

collect like terms

6x = 40 - 4

6x = 36

x = 36/6

Divide the values

x = 6 inches

Length = 6 inches

Width = 2( 6 + 1) = 2(7) = 14 inches

Hence, the values are 6 and 14 inches

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The values are;

Length = 6 inches

Width = 14 inches

How to determine the values

The formula for determining the perimeter of a rectangle is expressed as

P = 2( l + w)

Where;

P is the perimeter

l is the length

w is the width

From the information given, we have;

Length = x

Width = 2(x + 1) = 2x + 2

Now, substitute the values

40 = 2( x + 2x + 2)

expand the bracket

40 = 2(3x + 2)

40 = 6x + 4

collect like terms

6x = 40 - 4

6x = 36

x = 36/6

Divide the values

x = 6 inches

Length = 6 inches

Width = 2( 6 + 1) = 2(7) = 14 inches

Hence, the values are 6 and 14 inches

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Answer:

b+p=1 and 18b=15p

Answer

none needed use photo below

Step-by-step explanation:

2x² - 6x = -7 equation has  imaginary solutions

To determine if an equation has imaginary solutions, we can examine the discriminant of the quadratic equation

x² + 3x - 5 = 0

a = 1, b = 3, c = -5

Discriminant = (3)² - 4(1)(-5) = 9 + 20 = 29

The equation has two real solutions

x⁴ - 5x ^ 2 + 3 = 0

This equation is a quartic equation, not a quadratic equation. Quartic equations can have both real and imaginary solutions

2x² - 6x = -7

2x^2 - 6x + 7 = 0

a = 2, b = -6, c = 7

Discriminant = (-6)²- 4(2)(7) = 36 - 56 = -20

Since the discriminant (-20) is negative, the equation has two complex (imaginary) solutions.

-3x² = -5

Dividing both sides by -3, we get:

x²= 5

a = 1, b = 0, c = -5

Discriminant = 0² - 4(1)(-5) = 20

The equation has two real solutions.

Hence, 2x² - 6x = -7 equation has imaginary solutions

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Answer:

65 packets and 4 stamps

Step-by-step explanation:

The first thing we see is that the stamps are mixed... which means they must be added.

208 + 186 = 394 stamps total

Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.

394/6= 65.66667

Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.

Now we find the number of stamps left over by multiplying the number of packets by 6.

65 x 6= 390

Now we take the total number of stamps minus the number of stamps in packets.

394 - 390 = 4

Therefore, there are four stamps left over.

Hope this helps!

the expression for a proportional relationship is,

here, k = proportionality constant

we will put the value of x and y corresponding to each other from the table

for (3,18)

for (6,36)

thus the given table is the table of a proportional function

and the constant of proportionality is 6

Answer:

positive and odd

Step-by-step explanation:

If a is a negative odd number, then a² can't be negative, because a number squared is always positive.

I'll illustrate this with an example.

Let's choose -7 as an example. Instead of a.

-7² = 49

So we see that the result is positive & odd.

So the words that describe a^2 are positive and odd.

The surface area of the triangular prism is 313.47 cm².

Given is a triangular prism, we need to find the surface area,

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.

Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.

so, the surface area of a triangular prism =

perimeter × length + 2 × base area

So,

SA = (4.5+7.2+9) × 8.1 + 2 × 8.1 × 9

= 167.67 + 145.8

= 313.47

Hence the surface area of the triangular prism is 313.47 cm².

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The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

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9514 1404 393

Answer:

  16 mi/h

Step-by-step explanation:

The time for a given leg of the trip is the distance divided by the speed. If t is the speed in traffic, the total trip time is ...

  16/t +47/(t+31) = 2

Multiplying by t(t+31), we get ...

  16(t +31) +47t = 2(t)(t+31)

  2t^2 -t -496 = 0 . . . . put in standard form

  (2t +31)(t -16) = 0 . . . . factor

The positive solution is t = 16.

Johhny's average speed in traffic was 16 mph.

Answer:

5/3

Step-by-step explanation:

5/3 is 1.67 away from zero, compared to 0.27 0.25 and 1.1

Answer: 2592 square inches. To find the area, multiply the length and the width together. When a question says ___ by ___, they are saying ____ units long and ____ units wide. Here, 72 by 36 means 72 inches long and 36 inches wide, so multiply those together to get your area.

Answer:

2592 square inches

Step-by-step explanation:

The formula to find the area of something is Length x width so i times the 72 by the 36 and got 2592

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.

Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.

It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.

The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.

Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.

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Considering the sequences given, the first number that appears in both sequences is given by: 45.

The rule is multiply by 3 starting from 5, hence the numbers are:

(5, 15, 45, 135, ...).

The rule is add 9 starting from 18, hence the numbers are:

(18, 27, 36, 45, ...).

45 is the first number that appeared in both sequences.

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Given:

Thje critical points of the function are,

Now take the second derivative,

Put the values of the critical points in the second derivatives,

And,

Answer:

Answer:3x+y=-8

Step-by-step explanation: If you were to solve each equation by graph the slope would be negative 3

By algebraic handling, the expression 9 / 6 - 4 · (2 / 3 - 7 / 6)² is equivalent to the expression 1 / 2.

In this problem we must simplify an expressions involving powers and rational numbers by algebra definitions and theorems:

9 / 6 - 4 · (2 / 3 - 7 / 6)²                                Given

9 / 6 - 4 · [[(2 · 6) - (3 · 7)] / (3 · 6)]²              Subtraction of fractions with different denominators

9 / 6 - 4 · [(12 - 21) / 18]²                               Definition of multiplication

9 / 6 - 4 · (- 9 / 18)²                                       Definition of subtraction

3 / 2 - 4 · (1 / 2)²                                           Definition of simplification

3 / 2 - 4 · (1 / 4)                                             Power properties

3 / 2 - 1                                                         Definition of division / Existence of multiplicative inverse

3 / 2 - 2 / 2                                                   Definition of division / Existence of multiplicative inverse

1 / 2                                                               Subtraction of fractions with same denominator / Result

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Answer:

3.6 cm

Step-by-step explanation:

For the 20-deg angle, x is the opposite leg. 10 cm is the adjacent leg. The trig ratio that relates the opposite leg to the adjacent leg is the tangent ratio.

tan A = opp/hyp

tan 20 deg = x/10

x = 10 tan 20 deg

x = 3.6

Answer and Step-by-step explanation:

To find x, we need to use the tangent trig function.

tan(angle) = opposite/adjacent

\(tan(20) = \frac{x}{10}\)

Multiply by 10 to both sides, and solve with a calculator.

10(tan(20)) = x

x = 3.639702343

x ≈ 3.6 is the answer.

#teamtrees #WAP (Water And Plant)

In order to run a successful charity event for 6 people, it is important to ensure that everyone has something to enjoy.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.


One way to do this is to provide cupcakes to one out of every three people. This will ensure that some people get a special treat while the others still have a chance to get one if they come to the event again. It also allows for a sense of fairness and equality, as everyone has an equal chance of receiving a cupcake. Additionally, it helps to build a sense of community and fellowship among the participants, as they can share the cupcakes and enjoy the experience together. It is also a great way to raise awareness about the charity and its cause, as people can talk about it while enjoying the cupcakes. To make sure that the event runs smoothly, it is important to have plenty of cupcakes on hand and to make sure that everyone is aware of the rules for receiving one.

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Answer: A) 2 and a half B) 5 pints

Step-by-step explanation:

in 1 cup there are 16 table spoons.

a) 4tbsp (2 servings) times 10 (to reach 20 servings) =40 tbsp

40/16 =2.5

ANSWER A= 2 and a half cups of lemon juice.

in 1 pint there are 2 cups.

b)

1 cup = 1/2 a pint,

1/2 pint (2 servings) times 10 (to reach 20 servings) = 5 pints

ANSWER B= 5 pints of olive oil

If O be the center of the pentagon and OP = 1, then AO + AQ + AR = 2 + sqrt(5)

First, we can find the length of a side of the pentagon using the fact that it is regular. Let's call this side length s.

Using the Pythagorean theorem in triangle ACP, we can find that CD = s/2.

Using similar triangles ACP and AQB, we can find that AQ = (s/2) × (AO/AP) = (s/2) × (AO/1) = (s/2) × AO.

Using similar triangles AEP and ARP, we can find that AR = (s/2) × (AO/OP) = (s/2) × AO.

To find AO, we can use the fact that O is the center of the pentagon and triangle ACO is an isosceles triangle with AC = AO. We already know that CD = s/2, so using the Pythagorean theorem in triangle ACD gives us:

AC^2 = AD^2 + CD^2

AO^2 = (2s/2)^2 + (s/2)^2

AO^2 = 5s^2/4

AO = sqrt(5)/2 × s

Putting it all together, we get

AO + AQ + AR = sqrt(5)/2 × s + (s/2) × AO + (s/2) × AO

= (1 + sqrt(5)/2) × s

Since we know that OP = 1 and AO = sqrt(5)/2 × s, we can find s as follows

OP^2 + AP^2 = AO^2

1 + 1 = (sqrt(5)/2 × s)^2

s = 2/sqrt(5)

Plugging this back into the expression we found for AO + AQ + AR, we get

AO + AQ + AR = (1 + sqrt(5)/2) × (2/sqrt(5))

= 2 + sqrt(5)

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Answer:

......

Step-by-step explanation:

Yeh

Answer:

A

Step-by-step explanation:

The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.

The y-intercept of the line y = 14 / 17 x + 14 is 14.

The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.

Therefore, let's represent it in slope intercept form.

y = mx + b

where

Therefore, using the equation of a line in slope intercept form, the y-intercept of the equation y = 14 / 17 x + 14 is 14.

The y-intercept of a line is the value of y when x = 0.

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Answer:

x<1

Step-by-step explanation:

Treat it like a normal equation

Distribute: -3x-1>-7+3x

Isolate x: -6x>-7+1

Because we are dividing by a negative number, we need to flip the sign

x<1

Answer:

0, -1

Step-by-step explanation:

1. Plug in for 5:

-(15 + 1) > -7 + 15

-16 > 8 (FALSE)

2. Plug in for 1

-(3 + 1) > -7 + 3

-4 > -4 (FALSE, they are equal)

3. Plug in for 0

-(0 + 1) > -7 + 3(0)

-1 > -7 (TRUE)

4. Plug in for -1

-(-3 + 1) > -7 - 3

-(-2) > -10

2 > -10 (TRUE)

5. Plug in for 20

-(60 + 1) > -7 + 60

-66 > 53 (FALSE)

6. Plug in for -32

-(96 + 1) > -7 + 96

-97 > 89 (FALSE)

You can find the answer by just plugging in for x. It's very easy and the rest is just addition and multiplication, so please put some effort. Hope this helps! :)

hi

f(x) = -12x²+9x

So

f'(x) =  -24x +9

if  x = 6   then  f'(6) = -24 (6) +9 = -135

Answer:

the slope is -5/2 and the y-intercept is (0,-3)

Step-by-step explanation:

Answer:

y = -5/2x - 3

Step-by-step explanation:

First you distribute, -5/2 or -2.5 (x +4)

Which results in y - 7 = -2.5x + -10

and then add +7 to both sides

y = -2.5x + (-3 )

Turn x into a fraction and:

y = -5/2x - 3 The last answer choice

i t h i n k