Answer:
a. 1 200 000 km
b. 0.000 773 cm
c. 67 500 000 000 km²
d. 0.000 000 016 cm²
Step-by-step explanation:
a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.
So, 1 cm : 75000 km = 16 cm : x km
So, 1 cm/75000 km = 16 cm/x km
Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km
(b) Calculate length of a road on the map which is 0.58 km.
Let y be the length of road on the map. So, using our scale
1 cm : 75000 km = y cm : 0.58 km
So, 1 cm/75000 km = y cm/0.58 km
Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm
(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.
Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²
Let z be the actual area of the lake.
So, 1 cm² : 5 625 000 000 km² = 12 cm² : z km²
So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²
Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²
(d) Calculate the area of a play field on the map which has has an actual area of 90 km².
Let a represent the area of the play field on the map. Using our scale for the area,
1 cm² : 5 625 000 000 km² = a cm² : 90 km²
So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²
What is the value of x in the equation shown below?
x3 + 1 = 9
Answer:
x = 7/3 or 2.33
Step-by-step explanation:
x3 + 1 = 8
x3 = 8 - 1
x3 = 7
x = 7/3 or 2.33
HOPE THIS HELPS YOU!! :)
Answer: x = 2
Step 1.
In order to solve this non-linear equation, we need to move all the terms to the left side.
In x³ + 1 = 9...
- term 1, will be moved to the right side.
Notice that a term changes sign when it 'moves' from one side of the equation to the other.
Rewrite the equation like this: (x³ + 1) + (-1) = 9 + (-1)
Step 2.
Add x³ + 1 + (-1)
x³ + 1 + (-1) = 8
Now, x = 8.
Step 3.
In this non-linear equation, the variable needs to be isolated.
This is accomplished when both sides are exponentiated by the reciprocal of the variable's exponent, which in our example, 1/3 is equal to
Notice that since we exponentiated a simplified fraction with an odd denominator, only one solution has been created.
Rewrite the equation: [tex](x^3)^\frac{1}{3} =8^\frac{1}{3}[/tex]
Step 4.
We need to exponentiate the power.
The following rule is applied: [tex](A^B)^C=A^B^C[/tex]
According to the formula,
A = X
B = 3
C = 1/3
Rewrite the equation: [tex]x^3^\times^\frac{1}{3} =(2^3)^\frac{1}{3}[/tex]
Step 5.
We need to reduce this fraction, the 3 in x to the lowest terms.
This can be done by dividing out those factors that appear both in the numerator and in the denominator.
In our example, 3 is the common factor.
Rewrite the equation: [tex]x=2^\frac{3}{3}[/tex]
Step 6.
Lastly, we'll need to do the same thing as we did in step 5. Reduce the fraction in [tex]x=2\frac{3}{3}[/tex]. This can be done by dividing out those factors that appear both in the numerator and in the denominator.
Hence, the common factor is 3 since it occurs both in the numerator and the denominator.
Hence, x = 2.
if Billy has 23 chairs and the sun is orange on Tuesdays, what color is Sarah's hair at 2:73 in the morning if she eats a candle 1 hour and 26 minutes before 2:73am?
Answer:
I think the answer is Africa, I dunno.
Step-by-step explanation:
A baker is selling 2 types of doughnuts: glazed doughnuts, g, and jelly doughnuts, j. If a customer wants to buy no more than a dozen doughnuts and wants to try at least one of each kind, what would be the constraints that represent how many doughnuts the customer can buy?
Answer:
g ≥ 1; j ≥ 1; g + j ≤ 12
Step-by-step explanation:
I had the same question and I got this right
Answer:
I just took its right!!
Step-by-step explanation:
help me please thanks !
Can someone give me a definition of Measure of center? Also, some facts/properties about it, example, and a non-example. Please? Thanks!
Answer:
A measure of central tendency (measure of center) is a value that attempts to describe a set of data by identifying the central position of the data set (as representative of a "typical" value in the set). We are familiar with measures of central tendency called the mean, median and mode.
Step-by-step explanation:
Some facts/properties are:
1. There are three measures of the “center” of the data. They are the mode, median, and mean. Any of the values can be referred to as the “average.” The mode is the data value that occurs the most frequently in the data
2. And to find the measure of center:
The two most widely used measures of the “center” of the data are the mean (average) and the median. To calculate the mean weight of 50 people, add the 50 weights together and divide by 50 . To find the median weight of the 50 people, order the data and find the number that splits the data into two equal parts.
3. The four measures of center are mean, median, mode, and midrange. ... Example: The median of 1, 3, 5, 5, 5, 7, and 29 is 5 (the number in the middle). Mode – The mode is the number that repeats most often in a data set. It's seldom used in statistics as a reliable measure of center.
I hope this helps :)
WILL MARK BRAINLIEST
The graph of F(x), shown below, has the same shape as the graph of G(X) = x3 - x2, but it is shifted to the left 2 units. What is its equation?
O A. F(x) = (x - 2)3 - (x - 2)2
O B. F(X) = (x + 2)3 - (x + 2)2
O C. F(x) = x3 - x2 - 2
O D. F(x) = x3 - x2 + 2
Answer:
B
Step-by-step explanation:
After the translation of 2 units left, the function becomes f(x)=(x-2)³-(x-2)². Therefore, option A is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is g(x)=x³-x².
When the shape is moved towards the left by k units, then replace x with x - k.
The function shifted to the left 2 units.
So, the function is f(x)=(x-2)³-(x-2)²
Therefore, option A is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ7
Which expression is equivalent to 6(7x-4)
Answer:
X = 42x - 24
Showing the work :
6(7x−4)
=(6)(7x+−4)
=(6)(7x)+(6)(−4)
=42x−24
_____________________
*rate this answer and say thanks please!
7.50x30 help i hate math
Answer:
225
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
7.50 times 30 = 225
Solve the function.
h(x)= 6x - 10
————-
X + 3
Help please
Answer:
X+3=0
X=-3
H(x)=6*-3 - 10
H(x) =-18 - 10
H(x) =-28
Find the measure of an exterior angle of the regular
polygon with 8 sides
Answer: 45°
Step-by-step explanation: The formula for finding the measure of each exterior angle of a regular polygon is simply 360/n where n represents the number of sides of the polygon.
Since our polygon has 8 sides, we plug 8 in
for n and we have 360/8, which is 45.
So our answer is 45°.
2 EASY QUESTIONS HELP
Answer:
a) 5/8
b)6/7
Step-by-step explanation:
Answer a 5/8 b6/7
hope this helps
Thanks guys for the help
Answer:
4=128
5=512
6=2048
Step-by-step explanation:
I am not sure if this is correct, because I never answered a question like this before. If I am correct can I plz have Brainliest? Thanks!
Have a great day!
Write an equation for the trend line in slope-intercept form.
Please help me !
Answer:
y=0.05x+0.25
Step-by-step explanation:
.25/5 is slope---- divide
.25 is y-int
What is the mass of 1.50 moles of Cl ?
Answer
:Assuming you are talking about odium chloride,NaCl your answer would be
87.7 g
we discover the answer because 1 x 22.99 + 1 x 35.99= 58.4 g/mol
1.50 Moles:
We need to multiply our initial value by 1.50.
1.50 x 58.44/1= 87.66 = 87.7 g
Hope this helps
-Tobie the dog <3
Each team in the league can spend a maximum of $33 million per year on salaries. If the Whalers have 45 players and the average salary is $700,000, how much do they have left under the cap?
Answer:
1.5 million
Step-by-step explanation:
700,000x45=31,500,000
33,000,000-31,500,000=1,500,00
Please help 20 points to who ever can
Answer:
how is your mom doing tell her last night was crazy :D
Step-by-step explanation:
Answer:
82 62 163 and 300 are correct
Step-by-step explanation:
what is the leading coefficient ? 6x+2x(3)-5
Answer:
2
Step-by-step explanation:
The correct order in which the equation is written would be:
[tex]2x^{3} + 6x - 5[/tex]
So, when ordered correctly the leading coefficient is the first number, so with this equation that would be 2.
9. A group of students were asked
to vote for their favorite kind of pizza.
For every 5 students that voted for
cheese, 1 voted for pepperoni. A
total of 150 students voted. How
many students voted for pepperoni?
Answer:
25 students voted for peperoni
The area of a circle is 3.14 square yards. What is the circle's diameter?
Answer:
d≈2yd
Step-by-step explanation:
Answer:
d≈2yd
Step-by-step explanation:
Please help me solve “Expand log3 4x”
Answer:
Look below.
Step-by-step explanation:
Log3^4x
4xLog3 ------> To expand you would take the exponent and put infront of Log
This is the answer if its expanded. The question was sort of scarce so if this is wrong im sorry.
The expansion of the given logarithm [tex]\mathbf{Log_3 (4x^2)}[/tex] is [tex]\mathbf{= 2log_3(2)+2log_3(x)}[/tex]
What is the expansion of the logarithm?A Logarithm is an exponent to which a base must be raised in order to result in a given number. The expansion of the logarithm takes a predictable approach and set guidelines.
Using the set formula for solving logarithms;
[tex]\mathbf{log_a(x^n) = n \ log_a \ x}[/tex]
Let's assume that the correct equation given is:
[tex]\mathbf{=Log_3 (4x^2)}[/tex]
Using the above formula, we have
[tex]\mathbf{= 2 Log_3 (4x)}[/tex]
By expansion;
[tex]\mathbf{= 2log_3(2)+2log_3(x)}[/tex]
Learn more about logarithm here:
https://brainly.com/question/237321
What is the range of (-5, 2), (-2, 4), (2, -7), (4, 8)?
River Otters Drinks about 5 times as much as water as a bald eagle drink in a day
So we know that the bald eagle drinks 0.16 per day. (I am not sure liters, gallons, etc because it is not stated in the question.) Now, the question tells us that River Otters drink about 5 times MORE then the bald eagle. So first we need to multiply.
0.16 × 5 = 0.8
So river otters drink about 0.8 per day.
Now to find out how much a River Otter drinks in 3 days do:
0.8 × 3 = 2.4
Answer: River Otters drink 2.4 water in 3 days.
PS. Please check which unit it is and add the unit. Sometimes points get cut off without the units!
The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.
13, 14, 17
A. Acute Triangle
B. Obtuse Triangle
C. Right Triangle
Answer:
A. Acute TriangleStep-by-step explanation:
Lets verify with Pythagorean:
17² = 28913² + 14² = 169 + 196 = 365289 < 365The angle opposite to a greater side is less than 90° and the sum of the squares are close.
It means all three angles are less than 90°.
With this the triangle is acute.
Correct choice is A.
Can anyone please help and the answer is not 8 so please help
Answer:
5
Step-by-step explanation:
to find the answer you need to put this equation into a calculator
the square root of (4-8) squared + (3-6) squared
to find the distance this is put in the distance formula of
the square root of (x2-x1)squared + (y2-y1)squared
HELP ME PLEASE!! LOTS OF POINTS
Answer:
all rational
Step-by-step explanation:
find the square root then add to fraction
down below is a cheatsheet.
TIMED TEST. HELP
The standard form of an absolute value function is fx) = a |x-h| + k. Which of the following represents the vertex?
O (-k, h)
0 (-h, k)
O (k, h)
O (h, k)
-What is the solution to the following?
4(x - 1) - 3x = -2x - 4 + 3x
A. X= -4
B. x = 0
C. no solution
D. infinite solutions
HELP ME PLEASE, ILL GIVE BRAINLIEST
Answer: I helped LOL
Step-by-step explanation:
A jet pilot flew a distance of 3,311 mi in 5 hour and 30 min. Find the planes average rate of speed. Please Help me! I would really appreciate it if someone helped me as soon as possible. Can you also explain how you got your answer?
Answer: 602 miles
Step-by-step explanation:
The average rate of speed is calculated by the formula;
= Distance / Time
You need to convert the time into hours. Time is 5 hours 30 mins.
Convert those minutes to hours:
1 hour is 60 minutes so 30 minutes would be:
= 30 / 60
= 0.5 hours
Total time = 5 hours + 0.5 hours
= 5.5 hours
Now go back to speed equation:
Speed = 3,311 / 5.5
= 602 miles
jamie wants to treat some friends to lunch. He has $45 and know that the lunch will cost about $7 per person, p. He will also have to pay a $5.10 delivery fee. How many people can jamie buy lunch for?
Write and solve a inequality to represent the situation:
Answer:
5 people
Step-by-step explanation:
1. I subtract 5.10 from 45 which gave me 39.90
2. I divided 39.90 by 7 to figure out how many people he could buy for
3. I had gotten 5.7 so I had to round
4 final answer is 5
Answer:
Jamie can buy lunch for 5 people.
7p≤40
Step-by-step explanation:
Given:
Jamie has $40.
Lunch cost per person = $7
Solution:
Jamie wants to treat some friends to lunch.He has $40 and knows that lunch will cost about $7 per person, p.
So, an inequality to represent this situation is written as:
Hence, the answer is 5
Therefore, Jamie can buy lunch for 5 people.
I hope this helps :)