Answer:
Salamander Trail is longer than Great Oak Trail
Step-by-step explanation:
The given parameters are;
The scale of the map is 36 mi = 6 cm
The length of Great Oak Trail = 4.5 cm
The scale of a different map is 24 mi = 3 cm
The length of Salamander Trail = 3.5 cm
Therefore, we have;
The actual length of Great Oak Trail based on the first map is given as follows;
36 mi = 6 cm
6 cm = 36 mi
1 cm = 36 mi/6 = 6 mi
4.5 cm = 4.5 × 6 mi = 27 mi
The actual length of Salamander Trail based on the second map is given as follows;
24 mi = 3 cm
3 cm = 24 mi
1 cm = 24 mi/3 = 8 mi
3.5 cm = 3.5 × 8 mi = 28 mi
Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.
What is the opposite of 5.98
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∴
2. Find the product (2x + 3)(3x - 2).
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
Convert 1.5 × 108 from scientific notation to standard form. 15,000,000 150,000,000 1,500,000,000 15,000,000,000
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.
Ms. Greenlee went to a restaurant with her mom. After a good meal, which cost her
$45, she decided to leave a tip of 18%. How much will be her total bill, including the
tip?
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
Find f(−2) given that f(x)=2x2−3x+7.
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!
What is the solution of -28 = 22 - 5x? btw this is a algebra 1 question
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 :)
Find the slope and y-intercept of the following equation: Y = ¾ x - ½
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
I NEED HELP I DONT UNDERSTAND
Graph the line with the equation y=1/6x-7
Answer:
Step-by-step explanation:
A graph that represents the linear equation y = 1/6(x) - 7 is shown in the image below.
What is the slope-intercept form?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:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.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
28mn/7n anmd 4m are these expressions equvialent
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
Which of these is equal to sin 32?
sin 148
sin 58
ооооо
cos 58
cos 148
cos 32
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
541.3 x 3.9 what is the answer pls write with explanation
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
If i = the square root -1, what is i^3 equal to?
Answer:
[tex] \sqrt{ - 1} [/tex]
Step-by-step explanation:
that's the correct answer
This goes with number 4
Answer:
B
Step-by-step explanation:
You are correct
Point S is the midpoint of AK. AS = 5x - 3, and AK = 9x + 9. What is the length of AS?
Solve 2x+1=-52x+1=−5 x=
please help me :((
Which ordered pair is a solution to the system of inequalities?
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.
solve for g E=8gh Please help!!!
Answer:
Step-by-step explanation:
8gh = E
g = E/8h
How can you tell if a representation is
NOT a function?
It is not a function if there is no pattern to the numbers
I need help please! If m∠ABD=76°, what are m∠ABC and m∠DBC? If m∠JKH=77° then m∠NDF=__
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).
Suppose that 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. Find the average velocity between times t=3 and t=4
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 .
Based on the information in the statement, what is phillips net worth
Can someone help me?
Answer:
B
Step-by-step explanation:
J
Answer:
B
Step-by-step explanation:
Hope it help
congruence transformation pls help
Answer:
X, 3, 1
Step-by-step explanation:
hello again.
2+3(3a+a)
What is the distribute of this?
How would I solve Part B?
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)
Which of the following options have the same value as 20% of 45?
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)
When y is inversely proportional to X where X and Y is equal to 2 then find when the value of x =0.5 is equal to 0.5
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
XY has a length of 20 and contains a point Z in between. If XZ = -5x+1 and ZY = 3x+5, find ZY.
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
Using the quadratic formula to solve x2 = 5 - X, what are the values of X?
-1 √21
2
-13 19
51-421
1119
2
Mark this and return
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Answer:
The answer is
[tex]x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2} [/tex]Step-by-step explanation:
x² + x - 5 = 0
Using the quadratic formula
That's
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]From the question
a = 1 , b = 1 , c = - 5
Substitute the values into the above formula and solve
We have
[tex]x = \frac{ - 1\pm \sqrt{ {1}^{2} - 4(1)( - 5) } }{2(1)} \\ x = \frac{ - 1\pm \sqrt{1 + 20 } }{2} \\ x = \frac{ - 1\pm \sqrt{21} }{2} [/tex]We have the final answer as
[tex]x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2} [/tex]Hope this helps you
The composition of any function, f(x), and its inverse, f'(x),
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.
What is a composition of inverse function?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