Step-by-step explanation:
Rise = 3 units run = 3 units
using pythagorean theorem
d^2 = 3^2 + 3^2
d^2 = 18
d = sqrt 18 = 3 sqrt 2 = 4.24 units
br.uh help!!!!!!!!!
2u+10=22+u
Answer:
2
Step-by-step explanation:
2u+10=22+u
or,2u-u=22-10
or, u=2____1
Answer:
u = 12
Step-by-step explanation:
2u + 10 = 22 + u
Shift the u on the right side to the left side, changing the + to -.
2u - u + 10 = 22
Simplify 2u - u
u + 10 = 22
Minus 10 from both sides.
u = 12
Checking:
2(12) + 10 = 22 + 12
24 + 10 = 34
34 = 34
Use a factor tree to write the prime factorization of 80.
Find the ratio(SOHCAHTOA)
Answer:
Answer is D
Step-by-step explanation:
CAH
\(COS =\) \(\frac{adjacent}{hypotenuse} \\\)
in this case the adjacent is 9 and the hypotenuse is 40 so it would be
\(COS = \frac{9}{40}\)
Select all of the following statements that are true.
- + 0 = -
- - = -
- = +
- + = -
- + = +
- + = 0
Answer:
-+=- is true
Step-by-step explanation:
because - and+ are equal to -
but - and- are eqial to +
pls help!!! giving brainliest
Answer:
He should use a counterclockwise rotation about point C with an angle of rotation of (Show me the options for me to give you an answer!)
Step-by-step explanation:
Please give brainliest, hope this helps!
Juice A cost 0.10 cent more per ounce than juice B. 12 ounce juice A cost $5.64 total. How much per ounce juice B cost
Answer:
5.64/12= .47 but that box cost 10cents more than box B so you then you subtract .10 and get .37 per ounce for box B
Help please i would appreciated it
here is the picture is about Row Ops
The matrix operation add -4(row 1) to row 3 is\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)
Evaluating the matrix expressionFrom the question, we have the following parameters that can be used in our computation:
\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\4&-1&6&-8\end{array}\right]\)
From the question, we understand that
We are to add -4(row 1) to row 3
This means that
row 3 = row 3 - 4 * row 1
When these values are evaluated, we have
4: 4 - 4 * 1 = 0
-1: -1 - 4 * 2 = -9
6: 6 - 4 * 1 = 2
-8: -8 - 4 * -5 = 12
This means that we relace 4, -1, 6, and -8 in row 3 with 0, -9, 2 and 12
Using the above as a guide, we have the following:
\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)
Hence, the result of the matrix expression is \(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)
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Chris writes the expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) .
Which of these are equivalent expressions? Select TWO correct answers.
A. x − 15
B. x − 3
C. x + 15
D. ( 12 x − 11 x ) + ( 3 − 18 )
E. ( 12 x − 11 x ) + ( 18 − 3 )
F. ( 12 x − 11 x ) + ( − 6 + 3 )
The equation which equivalent to given expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) is
x+15( 12 x − 11 x ) + ( 18 − 3 )The Correct option is (C) and (E)
What is Linear equation in one variable?
A linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1. Linear equations in one variable may take the form ax+ b = 0.
The given equation is:− 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) .
= -3x+18 + 12 x -8x-3
=x +15
The corresponding equation to the above equation is:
C. x+15
D. (12 x - 11x) + (3-18)
= x-15
E. (12 x - 11x) + (18-3)
= x+15
F. (12 x - 11x) + (-6+3)
= x-3
As from the above it can be seen that the equation which equivalent to given expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) . is
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300(1-0.25)^t
WHAT IS THE DECAY???
On solving the provided question we can say that Thus, the given exponential expression represents exponential decay with a decay factor of 0.25 or a decay constant of 1.386.
What is exponential growth?The word "exponential growth" refers to the process of increasing quantity through time. When the instantaneous rate of change of a quantity with respect to time is proportional to the quantity, this is said to be proportional to the quantity. Exponential growth is a statistical pattern in which bigger gains are seen with time. Compound interest delivers exponential rewards in the world of finance. Savings accounts with compound interest can occasionally experience exponential growth. characterised by a rapid increase in the exponential growth rate (in size or extent). exponentially.
exponential decay with a decay factor of 0.25.
\(A_0 = A_0 e^{(-kt)}\\A_0 = 300\\\\A = 300(1-0.25)^t\\k = ln(1/0.25) = 1.386\)
Thus, the given expression represents exponential decay with a decay factor of 0.25 or a decay constant of 1.386.
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Pls help with this question pictured below.
The implicit derivative is given as follows:
dx/dt(x = 4) = 1/12.
How to obtain the implicit derivative?The function in this problem is given as follows:
y = 3x² + 1.
The implicit derivative, relative to the variable t, is given as follows:
dy/dt = 6x dx/dt.
(the derivative of the constant 1 is of zero).
The parameters for this problem are given as follows:
x = 4, dy/dt = 2.
Hence the derivative is obtained as follows:
2 = 6(4) dx/dt
dx/dt = 2/24
dx/dt = 1/12.
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4. A square has a perimeter of 28 units, an
ared of 49 units, and sides that are either
horizontal or vertical. The vertices are all
located in the same quadrant where the x
value is negative. What are the possible
coordinates of the square?
Answer:
7
Step-by-step explanation:
perimeter - 7+7+7+7=28
area - 7×7 = 49
it's a square so all sides are the same length.
area is length times width
perimeter is all sides added together.
Graph the linear equation.
y=5
What is the value of X when the richer scale rating is 3.1 round your answer to the nearest hundredth
3172.97 joules is the value of x when the Richter scale rating is 3.2
The equation that relates earthquake magnitude (M) and energy (E) is:
M = 2/3 × log(E) - 1.8
We have to find the value of X when the richer scale rating is 3.1
If an earthquake with a rating of 3.2 is not usually felt, then we can assume that x corresponds to the energy released by an earthquake that is just barely felt.
According to the United States Geological Survey, an earthquake with a magnitude of 2.5 corresponds to an energy release of about 1.3 × 10⁸ joules.
Using this as a reference point, we can set up the following equation:
3.2 = 2/3 × log(x) - 1.8
Solving for x, we get:
2.3 = 2/3 × log(x)
log(x) = 3.45
x = 3172.97
Therefore, the value of x when the Richter scale rating is 3.2 is approximately 3172.97 joules.
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Explain whether or not the triangles show. Could lie on the same line?
Answer:
I think they could because they are both right trigangles and have a flat bottom.
Step-by-step explanation:
Answer:
indeed they could!
Step-by-step explanation:
They both look about the same size, estimating they could both do so, the Degrees(if it is that) they are both about the same number they are BOTH 90° precisely!
Copy the axes below.
By first filling the table for y=x+4, draw the graph on your axes.
The complete table for the function are
x -2 -1 1 3
y 2 3 5 7
The graph is added as an attachment
How to complete the missing parts of the table for the function.From the question, we have the following parameters that can be used in our computation:
The function equation and the incomplete table of values
This is given as
y = x + 4
From the table, the missing values are at
x = -2, x = -1, 1 and x = 3
So, we have
y = -2 + 4 = 2
y = -1 + 4 = 3
y = 1 + 4 = 5
y = 3 + 4 = 7
The graph is added as an attachment
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Find the ratio of a to b
c/3d=a/e and c/d=b/e
Thank you :)
Answer:
Step-by-step explanation
1.
a = (e c d)/3
(c d)/3 - a/e = 0
These are some alternative forms for those i belive.
2.
b = (e c)/d
These are some alternative forms for those i belive.
Im not sure i can figure out the ration
Solve the equation.
k/-9 =7
Answer:
k=-63
Step-by-step explanation:
multiply both sides by -9
k=7*-9
k=-63
Answer:
-63
Step-by-step explanation:
by simplifying both sides of the equation, then isolating the variable. k= -63
-9 x 7 = -63
Please see screenshot.
Answer:
See below
Step-by-step explanation:
What percent of the front page is taken up by the
prom story, including the prom photograph?
A. 20%
B. 22%
C. 25%
D. 45%
E. 60%
The percent of the front page taken up by the prom story is 20%
Calculating the percent of the front page taken up by the prom storyFrom the question, we have the following parameters that can be used in our computation:
The front page
From the front page, we have
Area front page = 5 * 4
Area front page = 20
Also, we have
Prom = 2 * 2
Prom = 4
So, we have
Percentage = 4/20 * 100%
Evaluate
Percentage = 20%
Hence, the percent of the front page taken up by the prom story is 20%
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find the square root of 7
The value of the square root of 7 is,
⇒ √7 = 2.645
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
WE have to given that;
To find the value of the square root of 7 .
Since, the square root of 7 is,
⇒ √ 7
⇒ 2.645
Thus, The value of the square root of 7 is,
⇒ √7 = 2.645
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Determine the value x. How to solve it?)
Answer:
x=3
3 because what you do to one side you do to the other.
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
The side length of Tom's square garden was 36 At. He used; of
the garden for growing roses. What area of his garden was
used for growing roses?
Answer:
648 ft ²
Step-by-step explanation:
The area of Tom's garden would be 36*36 which gives us 1296 ft squared. He used half of his garden for growing roses which means he used 1296/2 =648 ft squared for his roses.
Solve each pair of simultaneous equations giving both solutions. You need to multiply both equations by suitable numbers before adding \subtracting to eliminate.
a) 6x - 7y = 9
3x + 2y = 54
b) 4x - 5y = 12
2x - 3y = 8
c) 4x - 2y = 28
3x + 3y = 12
please work it out and clear. who ever answer give them brainlest answer
Answer:
a) x = 12 y = 9
b) x = -2 y = -4
c) x = 6 y = -2
Step-by-step explanation:
a)
Equation 1: 6x - 7y = 9
Equation 2: 3x + 2y = 54
Multiply Equation 2 by 2:
⇒ 6x + 4y = 108
Subtract equations:
6x + 4y = 108
- 6x - 7y = 9
11y = 99
Divide both sides by 11:
⇒ y = 9
Substitute found value of y into Equation 1 and solve for x:
⇒ 6x - 7(9) = 9
⇒ 6x - 63 = 9
⇒ 6x = 72
⇒ x = 12
---------------------------------------------------------------------------------------------------
b)
Equation 1: 4x - 5y = 12
Equation 2: 2x - 3y = 8
Multiply Equation 2 by 2:
⇒ 4x - 6y = 16
Subtract equations:
4x - 6y = 16
- 4x - 5y = 12
-y = 4
Divide both sides by -1:
⇒ y = -4
Substitute found value of y into Equation 1 and solve for x:
⇒ 4x - 5(-4) = 12
⇒ 4x + 20 = 12
⇒ 4x = -8
⇒ x = -2
---------------------------------------------------------------------------------------------------
c)
Equation 1: 4x - 2y = 28
Equation 2: 3x + 3y = 12
Multiply Equation 1 by 3:
⇒ 12x - 6y = 84
Multiply Equation 2 by 4:
⇒ 12x + 12y = 48
Subtract equations:
12x - 6y = 84
- 12x + 12y = 48
-18y = 36
Divide both sides by -18:
⇒ y = -2
Substitute found value of y into Equation 1 and solve for x:
⇒ 4x - 2(-2) = 28
⇒ 4x + 4 = 28
⇒ 4x = 24
⇒ x = 6
HELP AS SOON AS POSSIBLE
The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x).90° counterclockwise rotation: (x,y) -> (-y,x).180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y).270° clockwise rotation: (x,y) -> (-y,x).270° counterclockwise rotation: (x,y) -> (y,-x).The original coordinates for this problem are given as follows:
A(0,0), B(5,2), C(5,-5), D(0,-3).
Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
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HELP!!! 50 POINTS!!!!
a transformation is a _____ to the _____ or _____ of a figure
Answer:
a transformation is a rotation or reflection to the position or co-ordinates of a figure
9. The Super Vision cable TV/Internet/phone provider advertises a flat $100 monthly fee for all
three services for a new customer. The rate is guaranteed for 5 years. Cable Zone normally
charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for
monthly cable television.
a. How much could a customer save during the first year by switching from Cable Zone to
Super Vision?
b. Super Vision raises the rates 23% after a new customer's first year, how much will a customer
who switched from Super Vision save in the second year?
c. If Super Vision raises the rates 18% for the third year compared to the second year, which
company is cheaper for the third year?
a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.
b. Super Vision raises the rates 23% after a new customer's first year, a customer who switched from Super Vision save $180 in the second year.
c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.
a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.
Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:
$46 (home phone) + $36 (Internet) + $56 (cable television) = $138
Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:
$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month
Therefore, during the first year, the customer could save:
$38 (monthly savings) * 12 (number of months) = $456
b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:
$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123
To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month
Therefore, in the second year, the customer would save:
$15 (monthly savings) * 12 (number of months) = $180
c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:
$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14
To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14
In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.
Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.
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How do I write parametric equations
Answer:
All answers in this set can be written in the form y=f(x).
A fox leaves its den and travels 725 yards northeast, then 950 yards west. How far, in yards is the fox from its den
Answer:
1,675
Step-by-step explanation:
add it
Using Pythagoras, the distance of the fox from its den would be 533.26 yards
Hypotenus = 900 yards Adjacent = 725 yards Distance from den = oppositeOpposite = √hypotenus² - adjacent²
Distance = √(900)² - (725)²
Distance = √810000 - 525625
Distance = √284375
Distance = 533.26 yards
Therefore, the fox is 533.26 yards from his den.
Learn more : Opposite = √hypotenus² - adjacent²
Joyce Johnson has two open containers of barley. If she combines 3lb 15oz from one container and 1lb and 5oz from the other, how much barley will she have in all
The total volume of barley Joyce Johnson has in the two open containers is 5 lb 4 oz.
VolumeThis is the unit of a three-dimensional measure of space that comprises a length, a width and a height. It is measured in units of cubic centimeters in metric, cubic inches or cubic feet.
Container 1 = 3lb 15ozContainer 2 = 1lb and 5ozTotal barley in the containers = container 1 + container 2
= 3lb 15oz + 1lb and 5oz
= 4 lb 20 oz
Convert oz to lb16 oz = 1 lb
20 oz = 1 lb 4 oz
So,
4 lb 20 oz
= 5 lb 4 oz
Therefore, the total volume of barley Joyce Johnson has in the two open containers is 5 lb 4 oz
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