Answer:
yes the triangles are similar
Step-by-step explanation:
I know this because the triangle still keeps the same shape for both triangles, one is simply scaled down to size.
integration sin2Xdx
Answer:
\( - \frac{ 1}{2} \cos(2x) + c\)
PLEASE ANSWER ASAP REALLY EASY QUESTION WILL GET BRAINLEST!!!!!!!!!!!
Is this an example of a random or biased sample?
Answer:
random since it doesn't have a specific opinion, it is required by bank service
Step-by-step explanation:
-2a-6a-9=-9-6a-2a
help please g
Answer:
the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
Step-by-step explanation:
To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:
Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.
Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.
Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).
In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
Write the equation of the line that passes through the given points. (-1,3.5) and (0,- 2.5) The equation of the line is (Simplify your answer.)
The most appropriate form of equation of a line in 3D will be given by-
\(\frac{x + 1}{1} = \frac{y-3}{-5} = \frac{z-5}{0}\)
is the required equation of the line.
What is equation of line in 3D?
Suppose a line passes through two points (\(x_1, y_1, z_1\)) and (\(x_2, y_2, z_2\)).
Equation of line is given by
\(\frac{x-x_1}{l} = \frac{y - y_1}{m} = \frac{z - z_1}{n}\)
where \(l, m, n\) are the Direction ratios
\(l = x_2 - x_1,\\ m = y_2 - y_1, \\n = z_2 - z_1\)
Here,
\(x_{1} =-1, y_{1} = 3, z_{1} = 5, x_2 = 0, y_2 = -2, z_2 = 5\)
l = 0-(-1)=1
m = -2-3 = -5
n= 5-5=0
Equation of line =
\(\frac{x -(- 1)}{1} = \frac{y-3}{-5} = \frac{z-5}{0}\)
\(\frac{x + 1}{1} = \frac{y-3}{-5} = \frac{z-5}{0}\)
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Juan selects 2 colored pencils randomly. There are 4 green, 3 yellow, 4 red, 3 blue and 2 orange. What is the probability Juan chooses a red, replaces it, and then chooses an orange?
A: 1 over 32
B: 1 over 30
C: 8 over 225
D: 3 over 8
what expression means the same as 9 divided by 10
Answer:
9/10.
Step-by-step explanation:
To determine what expression means the same as 9 divided by 10, the following logical reasoning must be carried out:
Since 9 integers are distributed among 10 dividends, this implies that these 10 will obtain a portion of those 9 integers, that is: 9/10, which gives a total of 0.90.
A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the heat in a sauna, and y is the temperature, in degrees Fahrenheit, of the sauna. Which interpretation describes a line of best fit of y = –1.5x + 173 for the data?
The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
The amount of time the member can tolerate the heat in a sauna is 173 minutes.
The time increased 1.5 minutes for every degree Fahrenheit the temperature increased.
The time decreased 1.5 minutes for every degree Fahrenheit the temperature decreased.
Answer:
The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
Step-by-step explanation:
By finding the y-intercept, you can conclude that the member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
Answer:
the answer is A.The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
Step-by-step explanation:
on edg 2020 :)
The length of the shorter diagonal of a rhombus is 10 centimeters. Determine the length of the longer diagonal, to the nearest centimeter, if the perimeter
of the rhombus is 52 centimeters.
Length of the longer diagonal
cm
Answer:
24cm
Step-by-step explanation:
Perimeter of a rhombus = 4a
a is the side of the rhombus
52 = 4a
a = 52/4
a = 13cm
If the length of the shorter diagonal of a rhombus is 10 centimeters, then the length of the other diagonal is expressed as;
L = 2 * √a²-(s/2)²
s is the length of the shorter diagonal
Given
a = 13cm and s = 10cm, substitute
L = 2 * √13²-(10/2)²
L = 2*√169-5²
L = 2*√169-25
L = 2*√144
L = 2*12
L = 24cm
Hence the length of the longer diagonal is 24cm
Emily buys a pack of 12 bottles of water
How can this expression be written another way?
60x - 24
Factor using the distributive property and the greatest common factor to write an equivalent expression
Enter your answer by filling in the boxes.
Answer:
factor using 12 (gcf)
12(5x-2)
What change do you have to make to the graph of f (x) = 7x in order to graph the function g (x) = 7x+10?
To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.
To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.
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Which statement is true? Question 16 options: A) |–3| = 3 and |–4| = –4 B) |–3| = 3 and –|4| = 4 C) –|3| = 3 and |4| = 4 D) |–3| = 3 and –|–4| = –4
The of a square is proportional to the length of one side, a square with 10 inches has a perimeter of 40 inches write an equation for the situation, then find the perimeter of a square with a 6 inch side
Step 1: find the constant
Step 2:
Step 3:
Ted borrowed 5600 from bank for 4 months with interest at 9%. Ted paid note in full on due date. How much was the check for
Step-by-step explanation:
First step:6/100×5600=504,second step:504×4=2016 final answer
The graph ABC has coordinates A(-3,-1) B(-4,-4) and C(-1,-2). And then graph the translation of 4 units right and 1 unit up.
Answer:45
Step-by-step explanation:
Answer:
A' = (1, 0)
B' = (0, -3)
C' = (3, -1)
Step-by-step explanation:
4 units right is adding 4 to the x value.
1 unit up is adding 1 to the y value.
A' = (1, 0)
B' = (0, -3)
C' = (3, -1)
Hope this helps!
Situation:
A geologist in South America discovers a
bird skeleton that contains 80% of its
original amount of C-14.
Find the age of the bird skeleton to the nearest
year.
Enter the correct answer.
Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years age of the bird skeleton.
Define percentage.In mathematics, a percentage is any value that can be written as a fraction of 100. There are also sporadic uses of the abbreviations "pct.," "pct," or "pc." However, it is commonly indicated by the "%" mark. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. The percent symbol (%) must come after a number to denote that it is a percentage.
Here,
This is a radioactive decay / half-life problem.
Initial amount of C 14 = 100% Present Amount = 57%
k = .0001 (that value should be negative)
Nt = No * e^ (k*t)
You need to solve that equation for "time" (equation attached)
time = natural log (Ending amount / Starting Amount) / k
time = natural log (57% / 100%) / -.0001
time = ln (.57) / -.0001
time = -.56211891815 / -.0001
time = 5,621.2 years (age of the bird skeleton)
Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years age of the bird skeleton.
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The complete question is "A geologist in South America discovers a
bird skeleton that contains 57% of its
original amount of C-14.
N = Noekt
No = inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k = 0.0001
t = time, in years
Find the age of the bird skeleton to the nearest year"
2+x=1
What is the answer to this question.
Stuck on it.
Answer:-1
Step-by-step explanation:
[3] Find the Social Security tax of 6.2% on $36,511.98
$226,374
$2173.19
C
$2,263.74
$2558.03
Answer:
2263.74
Step-by-step explanation:
Look at the picture, it’s easy
Answer:
(1,0.85)
Step-by-step explanation:
(x,y) = (t,d)
t = 1 minute
d = 0.85 feet
Answer:
1,0.85
Step-by-step explanation:
Please help me I’ll mark you brainly
On solving the provided question, we can say that - here in graph we have on solving equation \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
from graph, x= 2
y = 1
\(2x^2+ 9y^2 \\\)
\(8 + 9 = 17\)
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help me ASAP
Helppppppppppppppppp
Answer:
(2,4)
Step-by-step explanation:
I painfully counted every square to find that a 1 by 1 square is divided into an 8 by 8 square.
K is one square above 1/2, for the second coordinate is 4.
K is also 2 to the left of 0, so the first coordinate is 2.
Therefore, the coordinates of K are (2,4).
Solve the following equation using the quadratic formula: 3(x+4)2 - 81 = 0
Answer:
\(-4\pm 3\sqrt{3}\)
Step-by-step explanation:
\(3(x+4)^2-81=0 \\\\3(x^2+8x+16)-81=0 \\\\3x^2+24x+48-81=0 \\\\3x^2+24x-33=0 \\\\x=\dfrac{-24\pm\sqrt{24^2+4(3)(33)}}{2(3)}= \\\\\dfrac{-24\pm\sqrt{972}}{6}= \\\\\dfrac{-24\pm 18\sqrt{3}}{6}= \\\\-4\pm 3\sqrt{3}\)
Hope this helps!
Write an algebraic expression to model each situation.
Your car's gas tank holds 25 gallons, and you use
1.5 gallons of gas each day.
c = 18n + 13
i don’t understand it
thats not possible do you have options or another equation...?? because there is 2 unknown variable
If f (x) = 4х + 5, what is the value of f( 2) ? *
8
13
5
3
Answer:
The answer is 13
Step-by-step explanation:
First, you replace x with 2. Then you multiply 4 and 2 which you get 8. Lastly, you add 8 and 5 so you get 13.
Estimate the solution of the system of equations. Write the answer as an ordered pair.
Answer:
(-2.5, 2)
Step-by-step explanation:
just find where the points meet up lol
The second term in a geometric sequence is 12. The fourth term in the same sequence is 4/3 what is the common ratio in this sequence
Answer:
The common ratio in this sequence is 6:2 or 4:3
Step-by-step explanation:
hopes this heklps
Camille attended a music store's banjo sale. She counted the types of banjos and made note of their discounts. 4 strings 5 strings 6 strings 25% off 4 4 8 50% off 6 8 3 What is the probability that a randomly selected banjo has 6 strings or 5 strings? Simplify any fractions.
number of banjos with 6 or 5 strings: 4 + 8 + 8 + 3 = 23
total number of banjos: 4 + 6 + 4 + 8 + 8 + 3 = 33
The probability that a randomly selected banjo has 6 strings or 5 strings is:
\(p=\frac{23}{33}\)Look at the pattern shown below.
2, 4, 16, 256 ...
What is f(n+ 1) in terms of f(n), where n represents the position of a term in this pattern?
A. (F(n))^2
B. 2(f(n))
C. (F(n)-1)^2
D. 2(f(n)-1)
Answer: (a)
Step-by-step explanation:
Given
The pattern is 2, 4, 16, 256...
From the pattern, we can see that the next term is square of the previous i.e.
\(\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2\)\(\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2\)
So, for the \(n^{th}\) term, the function is \(f(n)\)
For the next term, it is \(f(n+1)\)
So,
\(\Rightarrow f(n+1)=[f(n)]^2\)
the ratio of boys to girls at space camp is 3:2 if there is a total of 60 campers,then how many of the campers are girls
Answer:
24
Step-by-step explanation:
3+2=5
5u-> 60
1u->12
2u-> 24