A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this map. The scale from the same park to a different map is 24 mi to 3 cm. The length of Salamander Trail is 3.5 cm on that map. Which is the longer trail, Great Oaks Trail or Salamander Trail?

Answer:

2111.07

Step-by-step explanation:

541.3 ×

3.9

Multiply each number by the number above it and the result will appear

Answer:

2111.07

Step-by-step explanation:

hope this will help you

Given :

Height of a falling object t seconds after being dropped from a height of 262 feet is given by f(t)= 262-16t^2 feet.

To Find :

The average velocity between times t=3 and t=4 s .

Solution :

Velocity is given by :

[tex]V=\dfrac{df}{dt}=-32t[/tex]

Now , average velocity is given by :

[tex]V_{avg}=\dfrac{V_4-V_3}{4-3}\\\\V_{avg}=\dfrac{(-32)(4)-(-32)(3)}{1}\\\\V_{avg}= -32\ feet/sec[/tex]

Hence , this is the required solution .

Answer:

B

Step-by-step explanation:

J

Answer:

B

Step-by-step explanation:

Hope it help

Answer:

D (-4, -9)

Step-by-step explanation:

midpoint formula:

(x₁ + x₂) / 2 , (y₁ + y₂) / 2

plug in C (2,7)

(2 + x₂) / 2 , (7 + y₂ ) / 2 = (-1, -1)

(2 + x₂) / 2 = -1

multiply each side by 2

2 + x₂ = -2

subtract 2 from both sides

x₂ = -4

(7 + y₂) / 2 = -1

multiply each side by 2

7 + y₂ = -2

subtract 7 from both sides

y₂ = -9

D (-4, -9)

Answer:

$53.10

Step-by-step explanation:

Convert 18% to the decimal fraction 0.18.

Then,

multiplyibng the $45 meal cost by 1.18 results in the total bill.   It is

1.18($45) = $53.10

Answer:

x

Step-by-step explanation:

If both the function and its inverse exist, then the composition of the function with its inverse is just 'x.'

The composition of any function, f(x), and its inverse f'(x) is x.

The composition of a function and its inverse are two mathematical concepts with practical applicability.

The objective of these two concepts is to increase the understanding of functions and all the terms related to them.

Inverse functions, as the name suggests, is to describe an inverse relationship between two functions.

The composition of function is defined when the result of a function is obtained by applying another function.

The independent variable is another function.

Hence, The composition of any function, f(x), and its inverse f'(x) is x.

To know more about the Inverse function click the link given below.

https://brainly.com/question/5245372

Answer:

X, 3, 1

Step-by-step explanation:

hello again.

Answer:

m<ABC = 41°

m<DBC = 35°

m<NDF = 77°

Step-by-step explanation:

Problem 1:

Given, m<ABD = 76°, m<ABC = (7x - 1), m<DBC = (5x + 5)

m<ABC + DBC = m<ABD (angle addition postulate)

[tex] (7x - 1) + (5x + 5) = 76 [/tex] (substitution)

Solve for x

[tex] 7x - 1 + 5x + 5 = 76 [/tex]

Collect like terms

[tex] 7x + 5x - 1 + 5 = 76 [/tex]

[tex] 12x + 4 = 76 [/tex]

Subtract 4 from each side

[tex] 12x + 4 - 4 = 76 - 4 [/tex]

[tex] 12x = 72 [/tex]

Divide each side by 12

[tex] x = 6 [/tex]

Find m<ABC

m<ABC = (7x - 1)

Plug in the value of x

m<ABC = 7(6) - 1 = 42 - 1 = 41°

Find m<DBC

m<DBC = (5x + 5)

Plug in the value of x

m<DBC = 5(6) + 5 = 30 + 5 = 35°

Problem 2:

<JKH and <NDF are corresponding angles. Corresponding angles are congruent.

Given that m<JKH = 77°, m<NDF = 77° (corresponding angles are equal).

Answer:

6x² + 5x - 6

Step-by-step explanation:

Given

(2x + 3)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(3x - 2) + 3(3x - 2) ← distribute both parenthesis

= 6x² - 4x + 9x - 6 ← collect like terms

= 6x² + 5x - 6

Answer:

here the answer is 6x² + 5x - 6

Step-by-step explanation:

here is the clear explanation

2x(3x - 2) + 3(3x - 2)

= 6x² - 4x + 9x - 6

= 6x² + 5x - 6

i not sure of the answer

sorry if it is wrong

It is not a function if there is no pattern to the numbers

Answer:

sin148 and cos58

Step-by-step explanation:

sin32=0.530

sin148=0.530

cos58=0.530

Hope it is helpful for you

please follow me

Step-by-step explanation:

We need to convert 1.5 × 10⁸ from scientific notation to standard form.

The scientific notation is 1.5 × 10⁸

Out of the given options, we need to choose the correct one.

10⁸ means 100000000

⇒ [tex]1.5\times 10^8=1.5\times 100000000[/tex]

or

[tex]1.5\times 100000000=\dfrac{15}{10}\times 100000000[/tex]

One of the zero from denominator and numerator will cancel down.

[tex]\dfrac{15}{10}\times 100000000=15\times 10000000\\\\=150000000[/tex]

So, the correct option is b.

Answer:

Step-by-step explanation:

A graph that represents the linear equation y = 1/6(x) - 7 is shown in the image below.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Since the given linear equation y = 1/6(x) - 7 is in slope-intercept form, we would start by plotting its y-intercept on a graph;

y = 1/6(x) - 7

y = 1/6(0) - 7

y = -7.

Lastly, we would use an online graphing calculator to plot the given linear equation for the values in its domain as shown in the graph attached below.

In conclusion, the slope of this linear equation y = 1/6(x) - 7 is equal to  1/6 and it does not represent a proportional relationship.

Read more on a graph here: brainly.com/question/4546414

#SPJ6

Answer:

XY=2

dividing both sides with y

X=2/y

(to find value of X, y should be transpose to the right or remove)

when X=o.5

y=2/0.5

y=4

so value of X is 0.5 when y=4

Answer:

yes; see below

Step-by-step explanation:

28mn / 7n

the n's cancel out

28m / 7

28/7 = 4

you are left with 4m

4m = 4m

Answer:

[tex]\huge\boxed{-5.98}[/tex]

Step-by-step explanation:

The opposite of 5.98 is the negative one.

Since 5.98 is a positive integer, it's opposite would be the negative integer having a "-" sign.

So, the opposite of 5.98 is:

=> -5.98

Hi there!

~

An opposite number of n is the exact same number as n on the other side of the number line. The opposite of n = -n.

⇒ Since 5.98 is positive, it's opposite must be negative.

⇒ We multiply 5.98 by -1 to find the opposite:

Opposite of [tex]5.98 = -(5.98) = -5.98[/tex]

         ↓

∴Good luck∴

Answer:

The answer is

Step-by-step explanation:

x² + x - 5 = 0

Using the quadratic formula

That's

From the question

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

Substitute the values into the above formula and solve

We have

We have the final answer as

Hope this helps you

Answer:

x = 10

Step-by-step explanation:

-28 = 22 - 5x

5x - 28 = 22

5x = 50

x= 10

Answer:

50

Step-by-step explanation:

-28 = 22 - 5x?

22 - 50 = -28

Hope it helps :)

Answer:

[tex]B. \: \frac{1}{5} \cdot 45[/tex]

[tex]E.\: 0.2 \cdot 45[/tex]

[tex]D. \: \frac{20}{100}\cdot 45[/tex]

Step-by-step explanation:

% means /100

[tex]20\% = \frac{20}{100} \\\\20/100 =0.2\\= 0.2\cdot 45\\\\\frac{20}{100}=\frac{1}{5} \\\\= \frac{1}{5} \cdot 45[/tex]

Answer:

B, D, and E.

Step-by-step explanation:

20% is 20/100, or 0.2

so, if we put 20/100 instead of 20%, we get 20/100*45

the same goes for the rest of them. (remember, 1/5 is the same as 0.2)

Answers:

Slope = 3/4

y intercept = -1/2

================================================

Explanation:

The form y = mx+b is known as slope intercept form

m is the slope and b is the y intercept

Comparing y = (3/4)x - 1/2 to y = mx+b, we see that

m = 3/4

b = -1/2

Answer:

21.

Step-by-step explanation:

f(x) = 2x^2 - 3x + 7.

When x = -2,

f(-2) = 2(-2)^2 - 3(-2) + 7

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

= 8 + 6 + 7

= 21.

Answer:

21

Step-by-step explanation:

So we have the function:

[tex]f(x)=2x^2-3x+7[/tex]

And we want to find f(-2).

To do so, substitute -2 for x. Thus:

[tex]f(-2)=2(-2)^2-3(-2)+7[/tex]

Square:

[tex]f(-2)=2(4)-3(-2)+7[/tex]

Multiply:

[tex]f(-2)=8+6+7[/tex]

Add:

[tex]f(-2)=21[/tex]

And we're done!

Answer:

[tex] \sqrt{ - 1} [/tex]

Step-by-step explanation:

that's the correct answer

Answer: D  (-3,5)

Step-by-step explanation:

Using both inequalities input the values for x and y to see if it fits the inequality .

y > - 2    

x + y < 4    

The first coordinates are (1,3)  Where 3 is the y value and 1 is the x value.

3 > -2      so this works because 3 is greater than -2

4 < 4   This does not work because 4 is not greater than 4 .

So the first point is not a solution to the systems of inequalities.

Now try the second point.

(0,4)    

4 > -2    4 is greater than -2  so it works for the first inequality.

0+ 4 < 4     0 plus 4 is 4  and 4 is not greater than 4 so the second points does not also work for the inequalities so it is not a solution.

Third point

(-2,-3)

-3 > -2    -3 is not greater than -2 so this means the points will not work for the system of inequalities.

Last point

(-3,5)  

5 > -2  5 is indeed greater than -2 so it fits the first inequality now try the second one.

-3 + 5 < 4     -3 +5 is 2   and 2 is less than 4 so it does work for both inequalities so D is the answer.

Answer:

Step-by-step explanation:

8gh = E

g = E/8h

Answer:

B

Step-by-step explanation:

You are correct

Answer:

10.25 or 10 and 1/4

Step-by-step explanation:

Answer:

10.25

Step-by-step explanation:

Assuming that XZ = 5x + 1 (not -5x + 1)

XY = XZ + ZY

20 = 5x + 1 + 3x + 5

20 = 8x + 6

14 = 8x

8x = 14

x = 14/8 = 1.75

ZY = 3x + 5

ZY = 3 * 1.75 + 5

ZY = 5.25 + 5

ZY = 10.25