If a hiker starts at sea level and increases her elevation at a rate of 1 foot per minute what will her elevation be in 20 minutes
Answer:
20 feet above sea level.
Explanation:
This can be solved by looking at the Rate of Change. It is given that for ONE minute that passes by, her elevation increases by ONE foot.
With this rate, after 20 minutes, the elevation can be shown as:
20 min × 1 foot= 20 feet.
Answer:
20ft
Step-by-step explanation:
Sea level is at 0 and the hiker hikes for 20 minutes at a rate of 1 foot. 20*1=20.
0+20=20
How much would $500 invested at 6% interest compounded monthly be
worth after 4 years? Round your answer to the nearest cent.
ACO) - P(1)
Find the first three iterates of the function with an initial value of . If necessary, round your answers to the nearest hundredth. a. 13; 175; 20,933 c. 13; 173; 19,933 b. 13; 173; 29,967 d. 13; 173; 29,933
Answer:
D
Step-by-step explanation:
just did it on edge
easy to read. Then solve the problem.
You climb a steep hill with 5 of your friends. You climb at a steady rate of 13 feet per minute. After 9
minutes, you are the second person to reach the top of the hill. How many feet did you climb?
Answer:
117 ft
Step-by-step explanation:
13 x 9 = 117
Answer:
117
Step-by-step explanation: since you climb 13 feet per minute you do 13×9 to get the answer of 117
Someone help me with this please. It is not circumference, so I do not know what to do...
5 stars and thanks for anyone who answers, asks for details, and comments.
It takes 12.5 mL of a 0.30 M HCl solution to neutralize 285 mL of NaOH solution.
What is the Molarity concentration of the NaOH solution?
13.15 M NaOH
1.5 M NaOH
0.15 M NaOH
0.013 M NaOH
Answer:
0.013 M NaOH
Step-by-step explanation:
HCL + NaOH = NaCL + water
The mole ratio of acid and base is 1:1
Molarity is equal to the moles of solute divided by the liters of solution
Solute mole = 12.5 × 10^-3 × 0.3
= 0.003075
To neutralize 0.00375mol of HCl, 0.00375 mol of NaOH will be required. Since molarity is moles per liter, divide this amount of moles by the volume in liters:
Molarity = 0.00375/285 × 10^-3
Molarity = 0.0131 M
The molarity concentration of the NaOH solution is 0.013M NaOH
The equation of reaction is given as:
[tex]HCl + NaOH >>>>>> NaCl + H_2O[/tex]
Concentration of Hcl, [tex]C_{Hcl}=0.30M[/tex]
Volume of Hcl, [tex]V_{HCl}=12.5mL[/tex]
Concentration of NaOH = [tex]C_{NaOH}[/tex]
Volume of NaOH, [tex]V_NaOH = 285mL[/tex]
From the equation of reaction:
Number of moles of Hcl, [tex]n_{HCl}=1[/tex]
Number of moles of NaOH, [tex]n_{NaOH}=1[/tex]
The formula for neutralization is given as:
[tex]\frac{C_{HCl}V_{HCl}}{C_{NaOH}V_{NaOH}} = \frac{n_{HCl}}{n_{NaOH}}[/tex]
Substitute the values of the parameters
[tex]\frac{0.30(12.5)}{C_{NaOH}(285)} =\frac{1}{1} \\\\C_{NaOH}(285) = 0.30(12.5)\\\\C_{NaOH}(285) = 3.75\\\\C_{NaOH}=\frac{3.75}{285} \\\\C_{NaOH} = 0.013M[/tex]
The molarity concentration of the NaOH solution is 0.013M NaOH
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What is the surface area of the cylinder? Express the answer in terms of -
d = 8 cm
h = 18 cm
Recall the formula SA - 23+ + 2
152
cm
Answer:
Surface area is 176π cm²
Step-by-step explanation:
Data
diameter, d = 8 cmheight, h = 18 cmSurface area (SA) of the cylinder is computed as follows:
SA = π*d*h + π*d²/2
Replacing with data:
SA = π*8*18 + π*8²/2
SA = 144π + 32π
SA = 176π cm² ≈ 552.92cm²
cylinder has a height of 15 centimeters and a radius of 10 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
cubic centimeters
Answer: 4712.39 centimeters
Step-by-step explanation: Using the volume of a cylinder calculator, I got the answer of 4712.3889803847 centimeters, but rounded it to the nearest hundreth. Hope this helps!
The volume of the cylinder will be 4,710 cubic centimeters.
What is the volume of a right circular cylinder?Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,
V = π r²h cubic units
Given that:
Radius, r = 10 cm
Height, h = 15 cm
The volume of the cylinder is calculated as,
V = 3.14 x 10 x 10 x 15
V = 4,710 cubic cm
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Choose the best function model to represent the following situation: The height of a penny as it is dropped from a building roof.
1. Linear
2. Exponential
3. Quadratic
4. None of the above
Please Answer This is worth 100 points. If you answer correctly I will give you branliest.
Answer:
3. Quadratic
Step-by-step explanation:
Penny is falling under gravity
acceleration due to gravity is constant
Velocity is the integral of acceleration, which is linear
Displacement is the integral of velocity, which is quadratic
Please help! You don’t have to show work
Answer: The answer is B I hope that helps:)
Step-by-step explanation:
pls help will give brainliest and pls give explanation
Answer:
-4, 2, 8, 14, 20
Step-by-step explanation:
The rule is called a "position to term" rule. That means the word "position" is being used to identify the location of a term in the sequence. The first term is in position 1, for example. Using the rule that the position is multiplied by 6, then 10 is subtracted, we find the terms to be as follows.
In position 1, the term is ...
1×6 -10 = -4
In position 2, the term is ...
2×6 -10 = 2
In position 3, the term is ...
3×6 -10 = 8
In position 4, the term is ...
4×6 -10 = 14
In position 5, the term is ...
5×6 -10 = 20
The first 5 terms are -4, 2, 8, 14, 20.
The opening of a garden hose is 3 centimeters wide. What is the circumference of the the opening to the nearest tenth centimeter?
a. 7.1 cm
b. 9.4 cm
c. 18.8 cm
d. 28.3 cm
Answer:
B. 9.4 cm
Step-by-step explanation:
The formula for circumference is 2(pi)r; so 2(3.14)1.5=9.42
If an original quantity is 12, and the new quantity is 15, what is the percent increase?
Answer:
20% increase
Step-by-step explanation:
1- New number-original number
2- number increased divided by new number then multiply by 100
15-12= 3
3 divided by 15= 0.2
0.2 times 100= 20%
If an original quantity is 12, and the new quantity is 15, then the percentage increase is 25%.
Given that, an original quantity is 12, and the new quantity is 15.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here,
Percentage increase = (New quantity - Original quantity)/Original quantity ×100
= (15-12)/12 ×100
= 3/12 ×100
= 0.25×100
= 25%
Therefore, if an original quantity is 12, and the new quantity is 15, then the percentage increase is 25%.
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Anthony surveys a group of students at his school about whether they play a sport...
Answer:
Yes they are independent, because P(girl) ≈ 0.42 and P(girl l plays a sport) ≈ 0.42
Step-by-step explanation:
A.P.E.X
Yes, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4
What is mean by Probability?The term probability refers to the likelihood of an event occurring. It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Given that;
We have been given a table that shows the results broken down by gender.
Play sports Do not play sports Total
Boy 105 75 180
Girl 70 50 120
Total 175 125 300
Here, Formula for probability of independent events:
"If A and B are independent events then, P(A∩B) = P(A).P(B)"
And, Formula of the probability of an event A is:
⇒ P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
Now, Using the definition of probability:
⇒ P(girl) = Number of girls/ Number of students
⇒ P(girl) = 120/300
⇒ P(girl) = 0.4 .....(1)
And, we find the probability of girls that play a sport.
Using the definition of probability:
P(girl plays a sport) = Number of girls who plays a sport/ number of students who plays a sport
= 70/ 175
= 0.4 ...(2)
From (1) and (2),
P(girl) = P(girl plays a sport)
Thus, Being a girl and playing a sport are Independent events.
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The complete question is this,
Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Play a sport
Total
Do not play a
sport
105
70
175
Boys
Girls
75
50
125
Total
180
120
300
Are being a girl and playing a sport Independent events? Why or why not?
O A. Yes, they are independent, because P(girl) = 0.58 and P girl plays
a sport) = 0.6.
O B. Yes, they are independent, because (girl) = 0.42 and girl plays
a sport) - 0.42
O c. No, they are not independent, because P(girl) = 0.42 and
P(girl plays a sport) = 0.42.
D. Yes, they are independent, because (girl) = 0.58 and P(girl plays
a sport) = 0.58
Find the volume of the cylinder in terms of x?
1- 127.16x m3
2- 74.8 m3
3- 432.34x m3
4- 63.58x m3
Simplify -3/4 ÷ 2/-8. (1 point)
Answer:
=3/1 or 3
Step-by-step explanation:
-3/4÷2/-8
=-3 × -8/4 × 2
=24/8
=24 ÷ 8/8 ÷ 8
=3/1
Luigi’s Pizza sells an extra‐large pizza with a 40 inch diameter. If the pie is cut into 8 equal slices,what is the area of one slice of Luigi’s pizza?
Answer:
14.1 inches squared.
Step-by-step explanation:
A = (3.141)(6)^2
A = 113.1 inches squared
Now that we know the area, we simply divide it by 8, as there are 8 EQUAL pieces, and so each piece must have an EQUAL area. This gives us:
113.1 / 8 = 14.1
Answer:
14.1
Step-by-step explanation:
Allyson has 4.5 pieces of rope to use for a tire swing. If each full piece is 2 2/3 feet long, how much rope does Allyson have in all?
Answer:
12 feet
Step-by-step explanation:
4.5 pieces of rope = 9/2 pieces in fractions
Also, 2 2/3 can be rewritten as 8/3 in fractions
So, 9/2 *8/3 = 72/6 = 12 feet
Allyson has 12 feet of rope in all.
A coin weighs 3/4
ounces. Trey picked up 6 of these coins.
What is the total weight of the coins he picked up?
Write your answer in simplest form.
Answer:
4 2/4
Step-by-step explanation:
3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4
To find the total weight of the coins Trey picked up, multiply the weight of one coin by the number of coins. The total weight is 9/2 ounces or 4.5 ounces in decimal form.
Explanation:To find the total weight of the coins Trey picked up, we need to multiply the weight of one coin by the number of coins picked up. The weight of one coin is 3/4 ounces, and Trey picked up 6 of these coins. To multiply a fraction by a whole number, we multiply the numerator (top number) of the fraction by the whole number. So, the total weight of the coins Trey picked up is (3/4) * 6 = 18/4 ounces.
Next, we simplify the fraction to its simplest form. To do this, we find the greatest common divisor (GCD) of the numerator and denominator, and divide both by the GCD. In this case, the GCD of 18 and 4 is 2. Dividing both the numerator and denominator by 2, we get 18/4 = 9/2. So, the total weight of the coins Trey picked up is 9/2 ounces or 4.5 ounces in decimal form.
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Which equation best represents the data?
The data in the table represents a company's profit based
on the number of items produced
O
Profit Based on Number of Items Produced
y = -1.026x2 + 1016.402x - 162075
y = -1.036x2 + 1024.771x - 163710
y = 298.214x - 66317.667
y = 196.2x - 18710
Answer:
Well, Your best answer will be is Y = -1.026x2 + 1016.402x - 162075. Because, When x = 100
y = -1.036x^2 + 1024.771x - 163710
y = -1.036(100)² + 1024.771(100) - 163710
y = -10360 + 102477.1 – 163710
y = -71592.9
Good Luck!
[tex]_{Itsbrazts}[/tex]
The equation best represents the data is : Y = -1.026x² + 1016.402x - 162075.
What is equation?
An equation is a mathematical expression that contains an equals symbol.
As, per the given table
Y = -1.026x² + 1016.402x - 162075.
When x = 100
y = -1.036(100)² + 1024.771(100) - 163710
y = -10360 + 102477.1 – 163710
y = -71592.9
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What number would you add to both sides of 2 + 7x = 4 to complete the square?
2^2
7^2
7/2^2
{7/2)2
Answer:
{7/2)2
Step-by-step explanation:
Triangle A B C. Line A B and C B extend past the triangle to form an angle with measure 70 degrees. Angle A C B is 58 degrees. What is the measure of AngleCAB? 38° 52° 70° 128°
Answer:
CAB=52°
Step-by-step explanation:
58°+70°+x=180°
128°+x=180°
x=180°-128°
=52°
Answer:
CAB=52
Step-by-step explanation:
The dimensions of a rectangular prism are 8 yd by 8 yd by 4 yd. Find the surface area of the prism.
Answer:
The surface area of the rectangular prism is 256
Step-by-step explanation:
Answer:
256 yd2
Step-by-step explanation:
Which ordered pair could be part of this
function: (2,4), (3,7), (9, 1)?
A (4,1)
B (3,11)
C (2,9)
values
D (9,0)
Answer:
i dont know answer but a ordered pair is said to be a function if every element of A associates with unique element of B.
When might it NOT be a good idea to use a dot plot to organize data?
Dot plots will not work well for large sets of data, because a dot would need to be plotted for each value.
What is interquartile range?In descriptive statistics, the interquartile range is a measure of statistical dispersion, which is the spread of the data.It is defined as the difference between the 75th and 25th percentiles of the data.Given is to investigate the disadvantage of using the dot plot to organize data.
Dot plots work very well for data with a small number of values.They would not work well for large sets of data, because a dot would need to be plotted for each value. Histograms or box plots are more useful for large sets of dataTherefore, Dot plots will not work well for large sets of data, because a dot would need to be plotted for each value.
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Construct a tangent to the circle at point B.
PLEASE HELP!!
Answer:
this is it
Step-by-step explanation:
and yes that is greg heffley
The construction of the tangent to the circle at point P gives the
attached image having markings which are the steps in the construction.
How can the tangent to the circle be constructed?
The steps to draw a tangent to a circle are as follows;
With the straight edge, construct passing through the center of the circle P and the point B on the circle and extend the further from the point BPlace the compass at point P and draw an arc intersecting the above line on both sides of point P at points Q and RExtend the compass to make it larger than PQ, place the compass at points Q and draw an arc on one side of the line PQPlace the compass on point R and with the same radius (arc width) above and draw an arc on the same side of the circle intersecting the arc drawn aboveJoin the point of intersection of the arcs to the point B to complete the construction of the tangent to the circle
A drawing showing the completed drawing and the relevant markings in
the steps to construct a tangent to a circle created with MS Visio is
attached.
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Solve for X ; 9x – 4 – 6x = 2(x + 1) – 5
Answer:
x = 1
Step-by-step explanation:
Identify the infinite sequence generated by the formula an = (−1)n ⋅ 2n.
Answer:
E2020
Step-by-step explanation:
The infinite sequence can be written as -2, 4, -6, 8 ..... with common difference -2.
What is a geometric sequence?In a geometric sequence, the ratio of two consecutive terms are always equal.
The general expression for the nth term is given as aₙ = a₁ × rⁿ⁻¹ .
The sum of n terms for this sequence is given as Sₙ = (rⁿ - 1)/(r - 1).
The expression for the general term for the given sequence is as below,
aₙ = (-1)ⁿ2n
The various terms can be written for different values of n as follows,
⇒ a₁ = (-1)¹ × 2 × 1 = -2
⇒ a₂ = (-1)² × 2 × 2 = 4
⇒ a₃ = (-1)³ × 2 × 3 = -6
⇒ a₄ = (-1)⁴ × 2 × 4 = 8
The common ratio can be given as a₂/a₁ = 4/-2 = -2
Hence, the given infinite sequence can be written as -2, 4, -6, 8 ..... with common ratio -2.
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During a basketball game, Stephanie made a total of 20
shots, some of them worth two points and some of them
worth three points.
If Stephanie scored 48 points in the game (and none of
them came from single point free throws), how many two
point shots did she make?
Answer:
24 two point shots
Step-by-step explanation:
48/2 =
24
Can someone help me please ☝️
Answer:
27
Step-by-step explanation:
Those angles are co interior, and thus add up to 180°. So therefore:
(x+72) + 3x = 180
simplified:
4x+72 = 180
so 180 - 72 = 108
4x = 108
x = 27