Answer:
x₁ > x₂
Step-by-step explanation:
Both actions imply a parable trajectories, since both are projectile shot cases.
Let´s call x₁ maximum distance in the first case
The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.
In the second case, the parable curve is modeled by:
y = x₂*( 0.08 - 0.002x₂) or y = 0.08*x₂ - 0.002*x₂²
A second degree equation, solving for x₂ and dismissing the value x₂ = 0
we get:
y = 0 ⇒ x₂*( 0.08 - 0.002x₂) = 0 x₂ = 0
And 0,08 - 0.002*x₂ = 0
- 0.002*x₂ = - 0.08
x₂ = 0.08/0.002
x₂ = 40 f
Then x₁ > x₂
Maria invests £4500 in a savings account for 3 years.
The account pays simple interest at a rate of 1.8% per year.
Work out the total amount of interest Maria gets by the end of the 3 years.
Answer:
Rm243
Step-by-step explanation:
Rm4500 × 0.018 × 3
=Rm243
Please mark as brainliest;)
Answer:
243
Step-by-step explanation:
(4500*1.8*3)/100
=243
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!
Christian wraps a gift box in the shape of a triangular pyramid. The figure below shows a net for the gift box. If all the triangles are equilateral, how much wrapping paper did he use, in square inches?
The amount of wrapping paper he use is 62.4 square inches
How to calculate the surface area of a prismThe formula for calculating the total surface area is expressed as:
Area = 4(area of triangle)
Find the area of the triangle
A = 0.5(6)(5.2)
A =3(5.2)
A = 15.6 square inches
TSA = 4(15.6)
TSA = 62.4 square inches
Hence the amount of wrapping paper he uses is 62.4 square inches
Learn more on total surface area here: https://brainly.com/question/1297098
What is the value of w?
Answer:
37°
Step-by-step explanation:
angles in a triangle add up to 180 degrees.
if two sides have the same length, an isosceles triangle is formed. the angles corresponding to the sides that have the same length are the same therefore, as FH = HG, ∠HFG = ∠FGH
180° = ∠HFG + ∠FGH + ∠FHG
= 106° + ∠HFG + ∠HFG
= 106° + 2* ∠HFG
subtract 106 from both sides to isolate the unknown and its coefficient
74° = 2*∠HFG
divide both sides by 2 to isolate the unknown
37° = ∠HFG = ∠FHG = w
Solve for x in the literal equation −5 = xy + z.
Answer: x = -5 -z/y or x= -5/y - z/y
Step-by-step explanation:
-5 = xy + z -- then you need to isolate the x, so subtract z from both sides
-5-z = xy -- then divide both sides by y
x= -5-z/y
please hurry!!!
Carol gets paid $10 per hour to work as a lifeguard. This weekend, she worked on both Saturday and Sunday. She made a total of $80. Carol worked for 5 hours on Saturday. a For how many hours did she work on Sunday? Let x = hours spent working on Sunday. Choose the equation that represents this problem.
Answer:D
Step-by-step explanation: times the 10 by the amount of hours they did on saturday which is $50. Subtract $50 from the $80 the total and the answer is $30, divide 30 by 10 and thats 3 the amount of hours that they worked on sunday. 10(x+5)=80 x=3 (3+5)=8 10(8)=80
Any help with this would be great, I'm not the best at these, and I'm behind from being sick and need to catch up.
Answer:
Step-by-step explanation:
Let say the following:
p = number of points
We know that they scored the same number of points in Game 1 and Game 2.
But in Game 3, they scored 6 points less than Game 1 and Game 2.
Therefore,
Game 1 = p
Game 2 = p
Game 3 = p - 6
To find the average you use the following formula:
Number of points / number of games = average
Basically,
(Game 1 + Game 2 + Game 3 ) / 3 = 63
So substitute the equations we made earlier and you get:
[tex]\frac{Game 1 + Game 2 + Game 3}{3} = 63\\\frac{p + p + (p - 6)}{3} = 63[/tex]
After this you just want to solve for "p"
Multiply both sides by 3 to get rid of the fraction:
p + p + (p - 6) = 63 x 3 = 189
3p - 6 = 189
Add 6 to both sides.
3p = 189 + 6 = 195
Divide both sides by 3
p = 195/3 = 65
So now we know p = 65 points. Substitute this back into our equations for each game:
Game 1 = p , Game 1 = 65 points
Game 2 = p , Game 2 = 65 points
Game 3 = p - 6 , Game 3 = 65 - 6 = 59 points
Please help me! there is a picture
Answer:
B
Step-by-step explanation:
½=20*x
x=½*1/20
x=1/40
A pair of designer sneaker was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price?
Answer:
$138
Step-by-step explanation:
120x1.15=$138
Joel has a vintage comic book worth $360. According to a dealer, the value of this particular comic book will increase by 5% each year. How much will the comic book be worth in 15 years?
The worth of the comic in 15 years is $784.41.
What is the worth of the comic?If the value of the comic is increasing it means it is appreciating in value. As a result of the appreciation, the price of the comic increases with the passage of time.
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$360 x (1.05)^15 = $784.41
To learn more about future value, please check: https://brainly.com/question/18760477
Answer:
The final answer is 748.41
Step-by-step explanation:
Of the 360 students at Moores School of Music, 270 are learning to play a stringed instrument. What percent of the students are learning to play a stringed instrument?
a 80%
b 40%
c 75%
d 60%
Answer:
c
Step-by-step explanation:
first i did tried all of the percents and found that c is correct
. Mr. Donut wants to paint a donut on the wall of his restaurant. The diameter of the outside edge of the donut will be 22 inches. The area of the hole of the donut will be 78.5 square inches. How much area will need to be painted if only the donut needs to be painted? Use 3.14 for π.
Answer:
The area needed to be painted is approximately 301.44 square inches.
Step-by-step explanation:
The shape of a donut is represented by two concentrical circles, whose area is described by the following formula:
[tex]A =A_{g}-A_{s}[/tex] (Eq. 1)
Where:
[tex]A[/tex] - Total area of the donut, measured in squared inches.
[tex]A_{g}[/tex] - Area of the greater circle, measured in square inches.
[tex]A_{l}[/tex] - Area of the lesser circle, measured in square inches.
By using the definition of the area of the circle, we expand the equation above:
[tex]A = \frac{\pi}{4}\cdot D^{2}_{ext} - A_{s}[/tex] (Eq. 1b)
If we know that [tex]\pi = 3.14[/tex], [tex]D_{ext} = 22\,in[/tex] and [tex]A_{s} = 78.5\,in^{2}[/tex], the area needed to be painted is:
[tex]A = \frac{(3.14)\cdot (22\,in)^{2}}{4}-78.5\,in^{2}[/tex]
[tex]A \approx 301.44\,in^{2}[/tex]
The area needed to be painted is approximately 301.44 square inches.
Write an explicit formula for an, the n
term of the sequence 38, 44, 50,....
Answer: an =
The sequence 38, 44, 50,.... is an arithmetic sequence
The explicit rule of the sequence is an = 32 + 6n
How to determine the explicit formula?The sequence 38, 44, 50,.... is an arithmetic sequence with the following parameters:
First term, a1 = 38
Common difference, d = 6
The explicit rule is calculated as:
an = a1 + (n - 1) * d
This gives
an = 38 + (n - 1) * 6
Evaluate the product
an = 38 - 6 + 6n
This gives
an = 32 + 6n
Hence, the explicit rule of the sequence is an = 32 + 6n'
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
I really need answers for this
Answer:
1. [tex]-tan (x)[/tex]
2[tex]-san(x)[/tex]
3. [tex]cos (x)[/tex]
4. [tex]tan (\pi +3)[/tex]
Step-by-step explanation: May God bless you and your family during spring break
At the beginning of the day the stock market goes down 30 3/4 points and stays at this level for most of the day. At the end of the day the stock market 100 1/2 points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Complete question:
At the beginning of the day the stock market goes down 30 3/4 points and stays at this level for most of the day. At the end of the day the stock market goes up 100 1/2 points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Answer:
The total change in the stock market is [tex]69\frac{3}{4}[/tex]
Step-by-step explanation:
Given;
the stock market at the beginning of the day = 30 3/4 points
the stock market at the end of the day = 100 1/2 points
The total change in the stock market from the beginning of the day to the end of the day is given by;
100 1/2 points - 30 3/4 points
[tex]= (100 -30) + (\frac{1}{2} -\frac{3}{4} )\\\\= 70 + (-\frac{1}{4} )\\\\= 70 - \frac{1}{4}\\\\= 69\frac{3}{4}[/tex]
Therefore, the total change in the stock market is [tex]69\frac{3}{4}[/tex]
Which is the equation of the function?
f(x) = 3]x] + 1
f(x) = 3x - 11
f(x) = (x + 1
f(x) = 1 |x-11
Answer:
4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
The data in the table can be modeled using an exponential function.
x | -1 | 0 | 1 | 2 | 3 |
y | 4 | 6 | 9 | 13.5 | 20.25 |
Based on the table, which function represents the same relationship?
A.) f(x) = 6 x 1.5^x
B.) f(x) = 0.67^x
C.) f(x) = 4 x 1.5^x
D.) f(x) = 6 x 0.67^x
Answer:
A
Step-by-step explanation:
You can plug in the x and y coordinates of the points to check which one is right.
The easiest point to start with is (0, 6).
[tex]A) 6=6*1.5^0\\B) 6=0.67^0\\C) 6=4*1.5^0\\D) 6=6*0.67^0[/tex]
Any number raised to the power of 0 is 1, so we can replace all of the exponents with 1.
[tex]A) 6=6\\B) 6=1\\C) 6=4\\D) 6=6[/tex]
That means we can immediately rule out B and C, since 6 clearly does not equal 1 or 4.
But since we still don't have our answer, we can plug in another point. Once again, you want to start with low, easy numbers, so let's plug in (1, 9).
[tex]A) 9=6*1.5^1\\D) 9=6*0.67^1[/tex]
Any number raised to the power of 1 is the same number:
[tex]A) 9=6*1.5\\D) 9=6*0.67[/tex]
Now we can multiply out both sides:
[tex]A) 9=9\\D)9=4[/tex]
Once again, it becomes immediately clear that D does not work, and A is therefore the correct equation.
How do you know a table is linear?
How do you know an equation is linear?
How do you know a graph is linear?
Answer:
You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear.
An equation is considered linear, if it is in the form of. y = mx + b. where m is the slope of the equation, and b is the y-intercept.
First of all the shape of the graph is a straight line. Every linear graph is nothing more than a straight line so if there is any curves in it, it's not linear. The other way to tell is look at its equation.
Step-by-step explanation:
ZA and 23 are supplementary angles. If m
ZB = (4x + 3)º, then find the measure of ZA.
Answer:
Since they are supplementary angles which add up to 180 degrees the measure of ZA must be 157 degrees.
Step-by-step explanation:
HALP!!!!!!!!!!! brainiest for first answer!
Answer:
1. no
no because 2:3 is not equal to 3:22.50
2. Yes
the constant proportionality is 3=4.35
Step-by-step explanation:
A circular flower bed is 17 m in diameter and has a circular sidewalk around it that is 3 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π.
Step-by-step explanation:
A-a
A=3.14x10x10
=314m^2
a=3.14x8.5x8.5
=226.865m^2
=314-226.865
=87.135m^2
You have 3 number
1, 9, and a missing number
The mean of the numbers is 4
work out the missing number
Answer:
2
Step-by-step explanation:
The last number is 2
You calculate this by the only way the mean can be 4 is if the 3 numbers= up to 12. so 9 + 1=10 and if were looking for 12 we need 2 more so 2.
10 + 2=12
When dealing with mean you calculate the sum of all the number(check) then divided by the total of numbers so 3
12 divided by 3=4 and 4= your mean
Hope it helps have a great day:)
determine the quotient of 1/3/4 divided by 2/5
Answer:
First turn any mixed numbers into improper fractions. 1 3/4 would be 7/4. Becuase you multiply the whole number by the denominator and then add the numerator.
So now you have 7/4 divided by 2/5. Whenever you divide, you flip the 2nd fraction upside down... known as the reciprocal. And after that you multiply the first number by the upside down 2nd number.
So now you have 7/4 X 5/2. When multiplying, just multiply the numerators across and the denominators across. As your answer, you get 35/8 or 4 3/8.
Step-by-step explanation:
Answer:
35/8 or 4 3/8
Step-by-step explanation:
whatever works for you. but when you use a caucalater you get 35/8.
In January, a store sold 3 scarves for $14.10. In March, it sold 5 scarves for $22.90. In which month did a scarf cost the least?
In January, a store sold 3 scarves for $14.10.
so 1 scarf = 14,10 : 3 = $4,7
In March, it sold 5 scarves for $22.90.
so 1 scarf = 22.90 : 5 = $4.58
In which month did a scarf cost the least?
in march
Me podría ayudar por favor.
Nose si es correcta mi respuesta?
Answer:
same answer as before.
Step-by-step explanation:
what's the difference of -5/12 - 3/10
Answer:
-43/60
Step-by-step explanation:
Establish a common denominator (60)
-5/12->12*5= 60
-3/10->10*6=60
Multiply numerators
-5/12->5*5=25
-3/10-3*6=18
-25/60-18/60
subrtact numerators
-25-18
------------
60
|
|
-43/60
polynomial that represents the area of the square (big ides math)
Answer:
49n^2-70n+25
Step-by-step explanation:
(7n-5)(7n-5)
FOIL it: 49n^2-35n-35n+25
combine like terms: 49n^2-70n+25
Find the length of a rectangular lot with a perimeter of 50 feet if the length is five more than the width.
complete the following answer statement:
The length of the rectangular lot is__________ feet.
Answer:
10
Step-by-step explanation:
hello brainly team
I need help
Ratio remains same
[tex]\\ \sf\Rrightarrow \dfrac{x}{16}=\dfrac{9}{12}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{x}{16}=\dfrac{3}{4}[/tex]
[tex]\\ \sf\Rrightarrow 4x=48[/tex]
[tex]\\ \sf\Rrightarrow x=12[/tex]
#2
[tex]\\ \sf\Rrightarrow \dfrac{4}{10}=\dfrac{6}{x}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{2}{5}=\dfrac{6}{x}[/tex]
[tex]\\ \sf\Rrightarrow 2x=30[/tex]
[tex]\\ \sf\Rrightarrow x=15[/tex]
x=12
Explanation:[tex]\frac{x}{16}=\frac{9}{12}[/tex]
[tex]x=12[/tex]
Question #2 Answer:See the parsing
Explanation:[tex](x+6)^2={10}^2+x^2[/tex]
[tex]x^2+12x+36=100+\lambda^2[/tex]
[tex]12x=64[/tex]
[tex]x=\frac{16}{3}[/tex]
{[tex]theorem[/tex]
I hope this helps you
:)
i need this now asap
Answer:
141.3
Step-by-step explanation:
π x 6 (3 + 4.5
what is 8 times 7..................
Answer: the answer is 56
Step-by-step explanation: its 56 because if you multiply 8 times 5 you get 45 then add 8 to 45 you get 48 now add 8 to 48 you 16 carry the 1 over tje 4 you get 56