Answer:
For the graph, 111 is the: y-intercept
In the situation, it represents the hiker's: starting distance
11 is the: slope
It represents the hiker's: speed
Hope this helped C:
The question pertains to the physics of a hiker ascending and descending a mountain, considering potential energy changes and work done by the hiker. The scenario's analysis includes calculations of potential energy at various altitudes relative to sea level, given the hiker's mass.
Explanation:Understanding the Physics of Hiking Up a MountainThe scenario involves a hiker ascending and descending a mountain, which can be analyzed from a physics perspective, particularly focusing on potential energy, work, and energy conservation. The hiker's journey begins at 200 m above sea level, progresses to an overnight hut at 800 m, descends to another hut at 500 m, and finally returns to the starting point. The mass of the hiker is given as 70 kg.
When the hiker ascends to a height of 800 m, she gains potential energy, which can be calculated using the formula Potential Energy (PE) = mass (m) × gravity (g) × height (h). Therefore, the increase in potential energy when reaching the first hut is:
PE = 70 kg × 9.8 m/s2 × (800 m - 200 m)
Similarly, when descending to the second hut, the hiker loses some potential energy. Finally, upon returning to the starting point, the hiker's potential energy returns to its initial value, assuming the starting point is the reference level of potential energy.
The exercise involved in hiking up and down the mountain also involves work done against the force of gravity and could be discussed in terms of energy expended by the hiker.
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What is the sum of the geometric sequence 1,-6,36,... if there are 7 terms?
Answer:
39,991Step-by-step explanation:
The formula of a sum of a geometric sequence:
[tex]S_n=\dfrac{a_1(1-r^n)}{1-r}[/tex]
We have
[tex]a_1=1,\ a_2=-6,\ a_3=36,\ ....\\\\r=\dfrac{a_2}{a_1}\to r=\dfrac{-6}{1}=-6[/tex]
Substitute:
[tex]a_1=1,\ n=7,\ r=-6:\\\\S_7=\dfrac{1(1-(-6)^7)}{1-(-6)^7}=\dfrac{1-(-279936)}{1+6}=\dfrac{279937}{7}=39991[/tex]
5. What is the combined weight of the 3/4-lb bags?
The answer would be 3.175 kg
Answer:knee r
Step-by-step explaning
-6n+21 =12n-15 I need help solving the equation
Answer:
n = 2
Step-by-step explanation:
Given
- 6n + 21 = 12n - 15 ( collect terms in n on the left and numbers on the right )
Subtract 12n from both sides
- 18n + 21 = - 15 ( subtract 21 from both sides )
- 18n = - 36 ( divide both sides by - 18 )
n = 2
How can you find f(2) if f(x) = 3x2 – 2?
a. Square 2. Subtract 2 from the result, and then multiply by 3.
b. Square 2. Multiply the result by 3, and then subtract 2.
c. Multiply 2 by f.
d. Multiply 2 by 3, square the result, and then subtract 2.
Answer:
b
Step-by-step explanation:
The square of 2 and the resultant is multiplied by 3 then subtract by 2. Then the correct option is B.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
f(x) = 3x² - 2
The value of the function at x = 2 will be given as,
f(2) = 3(2)² - 2
The square of 2 and the resultant is duplicated by 3 then, at that point, taken away by 2. Then, at that point, the right choice is B.
More about the function link is given below.
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i sawer there only 2 more
answer:
y=5.5x
explanation:
rise over run=rise/run= x/y
for every t shirt or "y" multiply 5.5 and it will give u the total cost or"x"
Which graph best represents the solution to the following pair of equations?
y = −2x + 13
y = 2x − 3
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair negative 4, negative 5.
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair 4, 5.
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair negative 4, 5.
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2x plus 13 and y is equal to 2x minus 3 are plotted. These 2 lines intersect at the ordered pair 4, negative 5.
ANSWER
See attachment
EXPLANATION
The given equations are:
y = −2x + 13
y = 2x − 3
We equate the two equations to get
−2x + 13=2x − 3
Group similar terms:
-2x-2x=-3-13
-4x=-16
Divide both sides by -4,
x=4
Put x=4 into equation (2)
y=2(4)-3
y=5
The two graphs should intersect at:
(4,5)
Answer: The answer is (4, 5)
Step-by-step explanation:
What is the value of x?
Answer:
28
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 6, hence
sum = 180° × 4 = 720°
Each exterior angle plus it's interior angle = 180°
Subtract each exterior angle from 180 to obtain interior angle
180 - 80 = 100, 180 - 56 = 124, 180 - 61 = 119, 180 - 43 = 137, 180 - 92 = 88
The 6 th interior angle is the sum of the 5 interior angles subtracted from 720
6 th angle = 720° - (100 + 124 + 119 + 137 + 88)° = 720° - 568° = 152°
The 6 th angle and 2x sum to 180 ( same reason as given above )
2x + 152 = 180 ( subtract 152 from both sides )
2x = 28 ( divide both sides by 2 )
x = 14
The square root of 73
8.5 is the answer to your question
The square root of 73 is approximately 8.544. It lies between the perfect squares of 64 and 81. The square root cannot be represented exactly as an integer or a simple fraction.
To find the square root of 73, we recognize that it is not a perfect square. Thus, the square root cannot be represented exactly as an integer or a simple fraction. We use approximation methods or a calculator to find it.
Steps to Find the Approximate Square Root of 73:
First, find the nearest perfect squares surrounding 73. We know that 64 (8²) and 81 (9²) are the closest.Next, since 73 is closer to 64, we can estimate that √{73} is slightly more than 8.Using a calculator, we find that the square root of 73 is approximately 8.544.So, the square root of 73 is about 8.544.
can you simplify before multiplying 14×25/27
Answer:
No.
Step-by-step explanation:
You can not simplify this expression before multiplying it, because no whole numbers go into both 14 and 27, and also no whole numbers go into both, 25 and 27. This is the correct answer to this question.
Hope this helps!!!
Kyle.
Before multiplying in the expression 14×25/27, try to simplify. Simplify 25/27 first, which gives an approximate decimal 0.9259. Multiply the approximation by 14, which gives the approximately 12.9626.
Explanation:Yes, you can simplify before multiplying in the given expression, 14×25/27. This follows the mathematic principle of simplifying terms prior to engaging in the operation. Here's how you can do it:
First let's simplify 25/27. This cannot be simplified further and will result in an approximation when decimalized, around 0.9259.Then, multiply the simplified fraction or its decimal approximation by 14. So, multiplying 14 by 0.9259 gives approximately 12.9626.Learn more about Simplification here:https://brainly.com/question/33857870
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Peterson needed to pack 1000 eggs into flats that held 2 1/2 dozen eggs. How many flats could he fill?
Answer:
33
Step-by-step explanation:
Each holds 2.5*12 = 30 eggs.
1000/30 = 33.333333
So he fills 33 flats.
The number of flats he could fill is 33
Peterson needed to pack 1000 eggs into flats that held 2 1/2 dozen eggs. To find out how many flats he could fill, we need to calculate the total dozen eggs in 1000 and then divide by 2.5 dozen since each flat holds 2 1/2 dozen eggs. One dozen equals 12 eggs. Therefore, 1000 eggs would be equivalent to 1000/12 = 83.33 dozen. To find the number of flats, we divide the total dozen eggs by the capacity of each flat in dozen: 83.33 dozen / 2.5 dozen = 33.33. This means Peterson can completely fill 33 flats, with a partial amount of eggs left over not sufficient to fill another flat completely.
Mr and mrs turner ate 3/4 of a pizza. They want to split the remaining part equally between their two sons how much of the pizza will each son recive
The remainder would be 1/4 of the pizza. 1/4 is equivalent to 2/8 of the pizza. This 2/8 can be easily divided for both sons. Therefore the answer would be each son would receive 1/8 of the pizza.
Calculate the area of a circle with a radius of 8 feet
Answer:
201.06 square feet
Step-by-step explanation:
area of a circle is given by πr², where π = 3.1416
A = 3.1416 * 8²
A = 3.1416 * 64 = 201.0624 square feet
A = 201.06 square feet
Answer this pls !!!.... and thanx !
This is the order you need to use to solve this problem: PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)
So you start with P and make your way down to S
(2x + 3)(x - 6) - 2x² + 3x + 30 First multiply (2x + 3)(x - 6) (distribute)
(2x)x - (2x)6 + (3)x - (3)6 = 2x² - 12x + 3x - 18 = 2x² - 9x - 18
(2x²- 9x - 18) - 2x² + 3x + 30 Simplify by combining like terms
-6x + 12
Answer:
- 6x + 12
Step-by-step explanation:
Expand the product of factors
= 2x² - 12x + 3x - 18 - 2x² + 3x + 30 ← collect like terms
= (2x² - 2x²) + (- 12x + 3x + 3x) + (- 18 + 30) ← simplify parenthesis
= 0 + (- 6x) + (12)
= - 6x + 12
find the missing angle measures in the figure? A.) 103 degrees B. ) 93 degrees C.) 113 degrees D.) 83 degrees
I would think A. i just tried to figure it out on my own but forgive me if I'm wrong but I'm positive I'm right
The fulcrum of a lever is the point on which it turns. Based on the function, how many pounds of force are needed to lift the rock if the distance from the fulcrum is 6 feet?
Answer: 10 pounds of force
Answer:
10 lb of force are needed to lift the rock if the distance from the fulcrum is 6 feet.
Step-by-step explanation:
From the given graph it is clear the curve passing through the point (1.5,40), (2,30), (2.5,24), (3,20) and (4,15).
These points satisfy by the equation
[tex]y=\frac{60}{x}[/tex]
where, x is the distance in feet from the fulcrum and y is needed force in pounds.
Put x=6 in this equation,
[tex]y=\frac{60}{6}=10[/tex]
Therefore, 10 lb of force are needed to lift the rock if the distance from the fulcrum is 6 feet.
Share £747 in the ratio 2:7
Answer:
£166 : £581
Hope this helps :)
Have a great day !
5INGH
Step-by-step explanation:
2 + 7 = 9
747 ÷ 9 = 83
2 : 7
( × 83 both sides )
166 : 581
What is the slope of (-8, 2) and (1, -4).
Answer:
-2/3
Step-by-step explanation:
To find the slope of two points
m = (y2-y1)/ (x2-x1)
= (-4-2)/(1--8)
= (-4-2)/(1+8)
= -6/9
-2/3
Answer:
[tex]\large\boxed{\text{The slope}\ m=-\dfrac{2}{3}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-8, 2) and (1, -4). Substitute:
[tex]m=\dfrac{-4-2}{1-(-8)}=\dfrac{-6}{9}=-\dfrac{6}{9}=-\dfrac{6:3}{9:3}=-\dfrac{2}{3}[/tex]
Write parametric equations of the line -3x+4y=7
Answer:
x = 1 + t and y = 2.5 + 0.75t
Step-by-step explanation:
Parametric equations are the equations in which the all the variables of the equation are written in terms of a single variable. For example in 2-D plane, the equation of the line is given by y=mx+c, there x is the independent variable, y is the dependent variable, m is the slope, and c is the y-intercept. The equation of the given line is -3x + 4y = 7. The goal is to convert the variables x and y in terms of a single variable t. First of all, take two points which lie on the line. By taking x=1, y comes out to be 2.5 and by taking x=0, y comes out to be 2.5. The general form of the straight line is given by:
(x, y) = (x0, y0) + t(x1-x0, y1-y0), where (x, y) is the general point, (x0, y0) is the fixed point, t is the parametric variable, and (x1-x0, y1-y0) is the slope.
Let (x0, y0) = (1, 2.5) and (x1, y1) = (0, 1.75). Substituting in the general equation gives:
(x, y) = (1, 2.5) + t(1, 0.75). This implies that x = 1 + t and y = 2.5 + 0.75t!!!
Answer:
x=t, y=(3/4)t+(7/4)
Step-by-step explanation:
We start by changing the equation the slope-intercept form.
4y=3x+7
y=(3/4)x+(7/4)
then we set x equal to t
x=t
and substitute
y=(3/4)t+(7/4)
that's it.
What’s 3.24 rounded to the nearest tenth
Answer:
3.2
Step-by-step explanation:
it is closer to 3.2 than 3.3
Answer: 3.2
Step-by-step explanation:
2 is the the tenths place and 4 is in the hundredths. .24 rounded to .2 is now the tenths therefore 3.2 is the tenths place
Stuck on geometric series question (in picture)
Answer:
The value of a7 is 128
Step-by-step explanation:
* Lets revise the rule of the geometric series
-There is a constant ratio between each two consecutive numbers
- Ex:
# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)
# 5000 , 1000 , 200 , 40 , …………………………(÷5)
* General term (nth term) of a Geometric series:
# a1 = a , a2 = ar , a3 = ar2 , a4 = ar3 , a5 = ar4
# an = ar^n-1, where a is the first term , r is the constant ratio
between each two consecutive terms , and n is the position
of the term in the series
* Now lets solve the problem
∵ a = 2
∵ r = -2
* To find a7 put n = 7
∵ an = a (r)^n - 1
∴ a7 = 2 (-2)^(7 - 1) = 2 (-2)^6
∵ (-2)^6 = 64 ⇒ even power canceled the negative sign
∴ a7 = 2 (64) = 128
∴ The series is : 2 , -4 , 8 , -16 , 32 , -64 , 128 , ............
* The value of a7 is 128
doris tiene en su cartera billetes de $10 y de $20 . si en total tiene 25 billetes y $330 ¿cuantos billetes tiene de cada tipo?
Answer:
17 $10s and 8 $20s
Step-by-step explanation:
A cone has a radius of 4 units and a height of 6 units. Its volume is (A. 96 / B. 100.48 / C. 301.44 / D. 401.92) cubic units. If a cylinder has the same radius and the same height as the cone, then its volume is (A. 66.99 / B. 288 C. / 301.44 / D. 904.32) cubic units.
Answer:
A cone: B. V = 100.48 cubic unitsA cylinder: C. V = 301.44 cubic unitsStep-by-step explanation:
The formula of a volume of a cone:
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
r - radius
H - height
We have r = 4 u and H = 6 u. Substitute:
[tex]V=\dfrac{1}{3}\pi(4^2)(6)=\dfrac{1}{3}\pi(16)(6)=\dfrac{1}{3}\pi(96)=32\pi\ u^3[/tex]
[tex]\pi\approx3.14\to V\approx(32)(3.14)=100.48\ u^3[/tex]
If the cylinder has the same radius and height as a cone, then the volume of the cylinder is three times larger than the volume of the cone.
Therefore, the volume of acylinder:
[tex]V\approx3(100.48)=301.44\ u^3[/tex]
Why?
The formula of a volume of a cone:
[tex]V_{cone}=\dfrac{1}{3}\pi r^2H[/tex]
The formula of a volume of a cylinder:
[tex]V_{cylinder}=\pi r^2H[/tex]
Therefore
[tex]V_{cone}=\dfrac{1}{3}V_{cylinder}\to V_{cylinder}=3V_{cone}[/tex]
If the radius and height are the same.
Answer:
A cone has a radius of 4 units and a height of 6 units.
Its volume is
[100.48]
cubic units. If a cylinder has the same radius and the same height as the cone, then its volume is
[301.44]
cubic units.
Step-by-step explanation:
Which equation has an a-value of –2, a b-value of 1, and a c-value of 3? 0 = –2x2 + x + 3 0 = 2x2 + x + 3 0 = –2x2 + 3 0 = 2x2 – x + 3
ax² + bx + c = 0
You know:
a = -2
b = 1
c = 3
The 1st option is your answer
-2x² + x + 3 = 0
a = -2
b = 1
c = 3
Answer:
A: 0 = –2x2 + x + 3
Step-by-step explanation:
edge
Statistics
1. What is the sum of all the results included in the sample divided by the number of observations. It is the average.
2. total data set
3. this is the collection, display, and analysis of the data
4. this is asking or inquiring people's opinion
5. this is the most frequently occurring element in a set
6. this measures the deviation between the scores and the mean, it mesures how dispersed the data is. the higher this is the more spread out the data is from each other.
7. the type of sample in which each member of the sample set or group has equal chance of being chosen
8. the spread of the middle 50% of the data
9. the middle term in a set of data. if the data set has an even number of terms this is the average of the two middle terms.
10. this is the process of gathering data from every member of a population
Answer:
1. mean
2. population
3. statistics
4. survey
5. mode
6. standard deviation
7. random
8. interquartile range
9. median
10. census
Step-by-step explanation:
How do I do number 3?
Answer:
120 in^2
Step-by-step explanation:
Split the shape into a square and a rectangle, like you did. A square has all equal sides, so you know that 9 x 9= 81. If the whole length of the square and the triangle combined is 15, then you know the triangle base is 6. Multiply the height of the triangle by the base and .5 to get that area. Add everything together for the answer
can you guys solve this lina is making jewelry.she has 7 beads and buys 4 additional packets of beads that each have the same number of beads.write an expression to show the total of beads that lina uses.1 the number of beads lina has 2 the total number of beads in the four packets 3 the total number of beads lina has
Answer:
4b+7
Step-by-step explanation:
7 beads= +7
4 packs= 4b
expression= 4b+7
The solution to the question "write an expression to show the total of beads that lina uses" is:
The number of beads Lina has = 7
The number of beads in the four packets = 4n
The total number of beads that Lina now has = 4n + 7
The number of beads Lina originally has = 7
The number of additional packets bought = 4
Let the number of beads in each packet be n
Total number of beads in the 4 packets = 4 x (number of beads in each packet)
Total number of beads in the 4 packets = 4n
The total number of beads that Lina now has = (The number of beads in the 4 packets) + (The number of beads she originally has)
The total number of beads that Lina now has = 4n + 7
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( 10 points) please help asap!!!
Answer:
f+5, g-10, 10-g, and 1/2p
Hope This Helps! Have A Nice Day!!
Answer:
A: F + 5
B: g - 10
C: 10 - g
D: P divided by 2
Reduce to simplest form 3/2+(-6/5)
Answer:
[tex] \frac{3}{10} [/tex]
Step-by-step explanation:
First we need to find a common denominator for the fractions.
[tex] \frac{3}{2} + \frac{ - 6}{5} \: is \: to \: \frac{15}{10} + \frac{ - 12}{10} [/tex]
Now we just need to work out the result by adding the numerators.
[tex] \frac{15}{10} + \frac{ - 12}{10} = \frac{3}{10} [/tex]
Ying Ying wants to buy some petunias.
The table compares the number of petunias Ying Ying could buy and the money that would remain in her wallet (in dollars).
What is the price of one petunia?
Answer: $0.25
Step-by-step explanation:
Let x be the total money was in her wallet and m be the cost of each petunia,
From the given table , the money left in wallet after purchasing 2 petunia =$6.50
Then we have the following equation :-
[tex]6.50=x-2m-----(1)[/tex]
Also, the money left in wallet after purchasing 8 petunia =$5
Then, we have
[tex]5=x-8m---------(2)[/tex]
Subtracting (2) from (1) , we get
[tex]6.50-5=-2m-(8m)\\\\\Rightarrow\ -2m+8m=1.50\\\\\Rightarrow\ 6m=1.50\\\\\Rightarrow\ m=\dfrac{1.50}{6}=0.25[/tex]
Hence, the price of one petunia = $0.25
Answer:
$.25
Step-by-step explanation:
The area of a square is 1 square foot. What is the length of each side of the square? a. 1 ft. b. 2 ft. c. 3 ft. d. 4 ft.
Answer:
A. 1ft
Step-by-step explanation:
1 x 1 = 1 squared
So 1 foot x 1 foot = 1 square foot
Answer:
a. 1 ft
Step-by-step explanation:
The area of a square is found by using the formula
A = s^2 where s is the side length of the square
We know the area is 1 ft^2
1 = s^2
Take the square root of each side
sqrt(1) = sqrt(s^2)
1 = s
The side length is 1 ft