In the rainforest of Puerto Rico, I needed to measure the height of a really tall tree. I used a device to measure the angle of elevation from my line of sight to the top of a tree to be 31°. Find the height of the tree if my height is 6 feet and I was 275 feet from the tree
Answer:
Step-by-step explanation:
See image
Simplify this equation:
-2/5+4/3
Step-by-step explanation:
-2×3+4×5
----------------
15
-6+20
---------
15
14
----
15
This may be the correct answer
I simply took the LCM of 5 and 3
Which of the following expressions is equivalent to −56−13?Select all that apply.
Whats The Answer Marking Brainliest, Please explain your answer:D...
.........
Answer:
64
Step-by-step explanation:
The exponent of a number says how many times to use the number in a multiplication.
8 to the Power 2
In 82 the "2" says to use 8 twice in a multiplication,
so 82 = 8 × 8 = 64
In words: 82 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared"
Abigail invested $130 in an account paying an interest rate of 4 5 8 4 8 5 % compounded continuously. Hunter invested $130 in an account paying an interest rate of 4 7 8 4 8 7 % compounded daily. To the nearest hundredth of a year, how much longer would it take for Abigail's money to triple than for Hunter's money to triple?
Answer: 1.22 years
Step-by-step explanation: see photos attached.
justin is joining a gym . The gym is currently offering a discount on the fee to join and on the monthly rate
After answering the presented question, we can conclude that As a result, the system of equations solution is (3, 35).
What is equation?An equation is a mathematical statement that validates the equivalent of two expressions joined by the equal symbol '='. For instance, 2x - 5 = 13. 2x-5 and 13 are two examples of expressions. The character '=' connects the two expressions. An equation is a mathematical formula that has two algebras on each side of an assignment operator (=). It demonstrates the equivalency link between the left and middle formulas. L.H.S. = R.H.S. (left side = right side) in any formula.
Thus the first month's savings would be: (Regular price) - (Discounted price) = (151 + 20) - (101 + 5) = $20.
Part C: Using the equations from Parts A and B, we can construct the following system of equations:
Y = 10X + 5 (Discounted pricing equation) (Discounted price equation)
Y = 15X + 20 (Normal price equation) (Regular price equation)
We can solve this system by substituting one equation for the other:
10X + 5 = 15X + 20
When we simplify this equation, we get:
5X = 15
X = 3
Then we can plug X = 3 into either equation to determine the value of Y:
Y = 10(3) + 5 = 35
As a result, the system of equations solution is (3, 35).
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
The correct question is -
Justin is joining a gym the gym is offering a discount on the fee to join and on the monthly rate the discounted price in dollars the gym charges can be represented by the equation Y equals 10 X +5
Part A what are the slope and the Y intercept of the equation what do the slope and y-intercept each represent in this situation ?.
Part B the regular price in dollar the gym charges can be represented by the equation Y equals 15 X +20. How much money in dollars does Justin save the first month by joining the gym at the discounted price rather than the regular price
Part C Justin create a system of equation based on the equation from part a and the equation from part B, the solution to the system of equation is (-3, -25) Why is the point (-3, ,-25) not possible solution in this solution ?
(50Pts) When using the vertical method to multiply polynomials, your like terms must be lined up in ____________.
descending order
ascending order
columns
rows
Answer:
C. Columns
Step-by-step explanation:
It's correct, I took the test and got it right.
answer with steps please
Answer:
Step-by-step explanation:
Answer: \(\frac{-70a^3-195^2-20a-78}{60}\) or \(-\frac{7}{6} a^3-\frac{13}{4} a^2-\frac{1}{3} a-\frac{13}{10}\)
When we say subtract this from that, the value or word after from is the one which is ahead of the equation. For example, subtract 9 from 10, then the expression will be 10-9 . [Answer is 1]
The expression that can be formed from the picture is and the solution is shown in the steps below.
\((\frac{a^3}{3} -\frac{3a^2}{4} -\frac{5}{2}) - (\frac{5a^2}{2} +\frac{3a^3}{2} +\frac{a}{3} -\frac{6}{5} )\) [Formed the expression]
\(\frac{a^3}{3} -\frac{3a^2}{4} -\frac{5}{2} - \frac{5a^2}{2} -\frac{3a^3}{2} -\frac{a}{3} +\frac{6}{5}\) [Removed the brackets]
\(\frac{a^3-a}{3} +\frac{6}{5} -\frac{3a^2}{4} +\frac{-5a^2-3a^3-5}{2}\) [Brought common denominators together]
\(\frac{20(a^3-a)}{60} +\frac{6*12}{60} -\frac{15(3a^2)}{60} +\frac{30(-5a^2-3a^3-5)}{60}\) [LCM of 3,5,4 and 2]
\(\frac{20a^3-20a+72-45a^2-150a^2-90a^3-150}{60}\) [Multiplied the numerators]
\(\frac{-70a^3-195^2-20a-78}{60}\) [simplified]
\(-\frac{7}{6} a^3-\frac{13}{4} a^2-\frac{1}{3} a-\frac{13}{10}\) [More simplified]
I tried my best to show my steps and solve it. Thank you.
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
a spinner has 20 equally sized sections, 4 of which are yellow and 16 of which are red. the spinner is spun and, at the same time, a fair coin is tossed. what is the probability that the spinner lands on red and the coin toss is tails?
The probability that the spinner lands on red and the coin toss is tails is 0.4
How to determine the probability?The sections on the spinner are
Yellow = 4
Red = 16
This means that
P(Red)=Red/Total
So, we have the following representation
P(red) = 16/20
Also, we have
Coin = {H, T}
This means that
P(T) = 1/2
So, we have
P(Red and Tail) = P(Red) * P(T)
So, we have
P(Red and Tail) = 16/20 * 1/2
Evaluate
P(Red and Tail) = 0.4
So, the probability is 0.4
Read more about probability at
https://brainly.com/question/251701
#SPJ1
If g(x)= 2x +8x-1 what is g(-3)
A) -7
B) 11
C) 28
D)7
Step-by-step explanation:
Greetings !
Firstly, write down the given expression
\(g(x) = 2x + 8x - 1\)
simplify it to be more accurate where 2+8=10
\(g(x) = 10x - 1\)
plug in -3 in the value of x and simplify the expression
\(g( -3 ) = 10( - 3) - 1 \\ g( - 3) = - 30 - 1\)
Thus, subtract the numbers
\(g( - 3) = - 31\)
Hope it helps!
Give the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
A. a = 3, b = 1, c = -1
B. a = 2, b = 5, c= -2
C. a = 2, b = -3,c = -2
Given:
The equation is:
\((2x+1)(x-2)=0\)
To find:
The values of a, b and b from the standard form.
Solution:
The standard form of a quadratic equation is:
\(ax^2+bx+c=0\) ....(i)
We have,
\((2x+1)(x-2)=0\)
In can be rewritten as
\(2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0\)
\(2x^2-4x+x-2=0\)
\(2x^2-3x-2=0\) ...(ii)
On comparing (i) and (ii), we get
\(a=2,b=-3,c=-2\)
Therefore, the correct option is C.
At Imelda's fruit stand, you bought 555 apples and 444 oranges for \$10$10dollar sign, 10, and your friend bought 555 apples and 555 oranges for \$11$11dollar sign, 11. Using this information, is it possible to determine the cost of one apple and one orange from the fruit stand? If so, what do they cost? If not, why not? Choose 1 answer:
Answer:
Each apple would cost 1.20 and each orange would cost 1
Step-by-step explanation:
Answer:
See Attached!
Step-by-step explanation:
What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54+ ...? 510 3,280 6,560 4,374
Answer:
6,560
Step-by-step explanation:
Answer:
6,560
Step-by-step explanation:
We are given the first four terms of the sequence:
2, 6, 18, 54, ...
We need to find another four terms to find the sum.
I don't know how to explain how I got the pattern but you have to multiply by 3:
2 * 3 = 6
6 * 3 = 18
18 * 3 = 54
To find the next term, we will multiply 54 by 3:
54 * 3 = 162
2, 6, 18, 54, 162, ...
We now have 5 terms.
Next, multiply 162 by 3:
162 * 3 = 486
2, 6, 18, 54, 162, 486, ...
We now have 6 terms.
Next, multiply 486 by 3:
486 * 3 = 1458
2, 6, 18, 54, 162, 486, 1458, ...
We now have 7 terms.
Lastly, multiply 1458 by 3:
1458 * 3 = 4374
2, 6, 18, 54, 162, 486, 1458, 4374, ...
We now have the first 8 terms.
Now, we add all these numbers together:
2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 = 6560
The sum of the first eight terms of the geometric sequence is 6,560
Find the dimensions of the rectangle with largest area that can be inscribed in a semicircle of radius 2 inches. ayea Soltlm fion heyht k 圧 unzlon
the dimensions of the rectangle with the largest area is Length = Diameter of the semicircle = 4 inches and Width = Radius of the semicircle = 2 inches.
consider a semicircle with radius 2 inches.
The diameter of the semicircle is twice the radius, which is 4 inches. This diameter will be the length of the rectangle.
Since the rectangle is inscribed in the semicircle,
the width of the rectangle= the radius of the semicircle = 2 inches.
Therefore, the dimensions of the rectangle with the largest area that can be inscribed in the semicircle are:
Length = Diameter of the semicircle = 4 inches
Width = Radius of the semicircle = 2 inches
learn more about area :
https://brainly.com/question/30307509
#SPJ4
What percent of 75 is 27?
Answer:
37.5%
Step-by-step explanation:
To find what percent of 75 is 27, you must put 27 over 75
\(\frac{27}{75}\)
When simplified, this is equal to 3/8 or 0.375
When turned into a percent, this is equal to 37.5%.
#YourWelcome.
Answer:
36%
Step-by-step explanation:
percentages can be found by the equations of parts/whole * 100
so 27/75 is .36
.36*100 is 36
so it's 36%
Ralph wants to move a 60.0 kg sofa He applies a force of 480 N. Under these conditions, the sofa initially moves with an acceleration of 3.20 m/s^2
Calculate the friction force on the sofa.
Round your answer to the nearest integer.
The value of the friction force on the sofa will be 288 N.
What is friction force?
The force which opposes the motion of the body is known as friction force.
Ralph wants to move a 60.0 kg sofa.
He applies a force of 480 N.
Under these conditions, the sofa initially moves with an acceleration of 3.20 m/s².
Then the value of the friction force on the sofa will be
We know
ΣF = ma
We have
m = 60 kg
a = 3.2 m/s²
Then the value of friction force will be
480 – f = 60 × 3.2
480 – f = 192
f = 480 – 192
f = 288 N
To learn more about the friction force refer to the link;
https://brainly.com/question/1714663
#SPJ1
Answer:
288
Step-by-step explanation:
At its farthest point, the moon is
252,088 miles away from Earth.
Jillene said the moon is about
250,000 miles away from Earth.
To what place did Jillene round
the distance?
The moon is 252,088 miles from Earth at its farthest point. The Jilene travel distance rounding the corner is 250000 miles.
Given that,
The moon is 252,088 miles from Earth at its farthest point.
According to Jillene, the moon is located roughly 250,000 miles from Earth.
We have to find where did Jillene travel distance rounding the corner.
From the given,
We have distance as 252088 miles.
We can say the approximation of the given miles.
Which we can approximately write as
250000 miles
Therefore, the Jilene travel distance rounding the corner is 250000 miles.
To learn more about distance visit: https://brainly.com/question/15172156
#SPJ13
CAN SOMEONE CHECK MY ANSWERS FOR ME RQ?
1. Addition:
a. x - 5 = 10
b. s - 4 = 6
c. y - 11 = 24
d. t - 8 = 9
2. Subtraction:
a. x + 2 = 10
b. s + 4 = 6
c. y + 17 = 24
d. t + 3 = 118
3. Multiplication
a. 1/5 x = 10
b. 1/2 s = 8
c. 1/2 t = 6
d. 1/4 y = 20
4. Division
a. 4x = 36
b. 13x = 52
c. 5x = 25
d. 10x = 120
5. Mixed Practice
a. x + 9 = 7
b. 23 - y = 44
c. s + 19 = 26
d. m - 40 = 20
e. z + 100 = 100
f. x + 22 = 23
g. s - 4 = 96
h. 1/4 x = 4
i. 24x = 3
j. 1/10 x = 50
k. 1/11y = 33
l. t + 14 = 16
m. t - 1 = 16
n. 1/2 q = 8
o. 15t = 24
My answers:
1.
A.15
B.10
C.35
D.17
2.
A.8
B.2
C.7
D.115
3.
A.50
B.16
C.12
D.80
4.
A.9
B.4
C.5
D.12
5.
A.-2
B.-21
C.7
D.60
E.0
F.1
G.100
H.16
I.1/8
J.500
K.636
L.2
M.17
N.16
O.8/5
Answer:
All looks good but Problem 5 K
363
Step-by-step explanation:
33 x 11 = 363
Answer: I only saw one mistake. On your mixed practice, K is wrong. It is 363, not 636.
hope this helps!
please give brainliest!
The school's photographer took pictures of couples at this year's prom. She
charged $3.25 for wallet-size pictures and $10.50 for portrait-size pictures. Crystal
and Dan bought a total of 10 pictures for $61.50. Write two equations that would
be used to solve the system.
Answer:
B is the answer
Step-by-step explanation:
Can someone help me on question 12 please
Answer:
I think it is i
Step-by-step explanation:
The formula is 2(l+w)
2(13+8)
2(13)=26
2(8)=16
26+16=42
what is the slope intercept of the line y=2x+4
Answer:
Slope = 2
Y intercept = 4
Step-by-step explanation:
This is of the form y = mx + k
where m is the slope
K = y intercept
Hello! (:
y=2x+4
This equation is written in slope-intercept form:
y=mx+b
m is the slope (2) and b is the y-intercept (4)
Hope it helps!
If you have any question or query, feel free to ask! (:
~An excited gal
\(SparklingFlower\)
what are the steps to induction nsls
These steps are often referred to as the principle of mathematical induction or PMI.
The steps for mathematical induction are:
Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.
Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.
Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.
Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.
These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.
Learn more about mathematical induction here
https://brainly.com/question/29503103
#SPJ11
Fluffy the bunny ate 1/4 of a carrot in the morning, and she ate some more at night. By the end of the day, she still had 2/3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?
Fluffy the bunny ate 1/12 of the carrot at night.
Define ratio
Ratio is a mathematical comparison between two quantities that are related to each other in some way. It is expressed as the quotient of one quantity divided by the other.
Fluffy ate 1/4 of the carrot in the morning.
By the end of the day, Fluffy had 2/3 of the carrot left to eat. This means she had eaten 1 - 2/3 = 1/3 of the carrot by the end of the day.
Since Fluffy ate 1/4 of the carrot in the morning, subtracting that from the 1/3 of the carrot that she had eaten by the end of the day to find out how much she ate at night:
Amount of carrot Fluffy ate at night = 1/3 - 1/4
To subtract these fractions, we need a common denominator:
Amount of carrot Fluffy ate at night = (4/12) - (3/12)
Amount of carrot Fluffy ate at night = 1/12
Therefore, Fluffy the bunny ate 1/12 of the carrot at night.
To know more about quotient, visit:
https://brainly.com/question/16134410
#SPJ1
Austin made $198 for 11 hours of work.
At the same rate, how many hours would he have to work to make $144?
Answer:
8 hours
Step-by-step explanation:
divide 198 by 11 to get 18, then divide 144 by 18 to get 8.
Answer:
I would take 8 hours because if you divide 198 by 11 you get the rate and multiply the rate by 8 to get 144
Accurately construct triangle ABC using the information below
AB=8cm
AC=5cm
Angle BAC=70 degrees
Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.
What is triangle ABC?Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:
Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.
Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.
Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.
Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.
Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.
Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.
Read more about triangle
https://brainly.com/question/29285631
#SPJ1
Q1: Fill in the blanks:
a) The number 3.23 can be expressed as fraction
Answer:
yes, as 3 23/100
Step-by-step explanation:
because
Answer:
I think it could be 3 23/100
Step-by-step explanation:
How far is the point (12, 5) from the origin
Answer:
13
Step-by-step explanation:
Uma colônia de bactérias duplica de tamanho a cada dois dias. Começando com apenas um representante, quantos membros terá a colônia depois de um mês?
Answer:
Espero que isto ajude!
Step-by-step explanation:
q duplica logo a razão q =2
1 hora = 60 minutos
4 hs * 60 min = 240 minutos ou 240 : 6 = 40 vezes 6 minutos
Nota > 240 minutos tem 40 * 6 minutos
n = 40
a1 = 6 min = 3
a2 = 12 min = 3 * 2 = 6
q3 = 18 min = 6 *2 =12
an = a1 * q^n-1
a40 = 3 * 2^40-1
a40 = 3 * 2^39
a40 = 3 * 5497559 =16492677 >>>>>
Evaluate 2x for each value of x. Write your answers in simplest form. Show your work!
1. x = 1/4
2. x = 1/3
3. x = 1/2
4. x = 1/6
5. x = 1/7
6. x = 1/8
7. x = 2/3
8. x = 3/4
1. 1/2
2.2/3
3. 1
4. 1/3
5. 2/7
6. 1/4
7. 4/3
8. 3/2
How to evaluate the valueTo find 2x of the vale of x, we have to multiply the value of 'x' by 2
1. x = 1/4
\(2x = 2 * \frac{1}{4}\) ⇒ \(\frac{2}{4}\) ⇒\(\frac{1}{2}\)
2. x = 1/3
\(2x = 2 * \frac{1}{3}\) ⇒\(\frac{2}{3}\)
3. x = 1/2
\(2x = 2* \frac{1}{2}\) ⇒ \(\frac{2}{2}\) ⇒ \(1\)
4. x= 1/6
\(2x = 2* \frac{1}{6}\) ⇒ \(\frac{2}{6}\) ⇒ \(\frac{1}{3}\)
5. x = 1/ 7
\(2x = 2 * \frac{1}{7}\) ⇒ \(\frac{2}{7}\)
6. x = 1/8
\(2x = 2 * \frac{1}{8}\) ⇒ \(\frac{2}{8}\) ⇒ \(\frac{1}{4}\)
7. x = 2/3
\(2x = 2 * \frac{2}{3}\) ⇒ \(\frac{4}{3}\)
8. x = 3/4
\(2x = 2 * \frac{3}{4}\) ⇒ \(\frac{6}{4}\) ⇒ \(\frac{3}{2}\)
Learn more about algebraic expressions here:
https://brainly.com/question/723406
#SPJ1
HELP HELP HELP HELP HELPPPPPPPPPPPPP
Answer:
The ratio of x-values to y-values in the table is 2:3
Step-by-step explanation:
8 / 12 = 2/3
10 / 15 = 2/3
12 / 18 = 2/3
Each has a ratio of 2 to 3.