Answer:
28.24
Step-by-step explanation:
25 + 32/10 + 4/100
25 + 3.2+ .04
28.24
[tex] \sf25 + \frac{32}{10} + \frac{4}{100} \\ \sf = 25 + 3.2 + 0.04 \\ \sf \: = 28.24[/tex]
Answer:
C. 28.24
Hope you could get an idea from here.
Doubt clarification - use comment section.
Which table shows a proportional relationship between a and b?
Answer:
It is c
Step-by-step explanation:
Find the center and radius of the circle x2+y2=4
Answer:
The center is (0,0) and the radius is 2
Step-by-step explanation:
The equation of a circle is
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
x^2+y^2=4
(x-0)^2 + (y-0)^2 = 2^2
The center is (0,0) and the radius is 2
GIVING 50 POINTS TO WHOEVER ANSWERS CORRECTLY!!!!!!
The coordinates or rectangle ABCD are (2,-2), (8,-2), (8,-5), (2,-5).
What are the coordinates of rectangle ABCD after a translation of (x - 3, y + 5)
Answer:
(2,-2) --> (-1, 3)
(8,-2) --> (5, 3)
(8,-5) --> (5, 0)
(2,-5) --> (-1, 0)
Which equation represents a line that passes through ( -2 , 4 ) and has the slope of 2/5
Answer:
y = 2/5x +24/5
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 2/5 x +b
Substitute the point into the equation and solve for b
4 = 2/5(-2)+b
4 = -4/5 +b
Add 4/5 to each side
20/5 +4/5 = b
24/5 = b
y = 2/5x +24/5
Building 1 (Circle) : Rotate 270 degrees counterclockwise around the origin. Building 2 (Square): Reflect across the y axis. Building 3 (Triangle): Reflect across the y axis, then translate 3 up and 2 to the left. Building 4 (L-Shape) : The points A (3, 8), B (6, 8), C (6, 3), and D (5, 3) need to be transformed to points A'' (–3, 1), B'' (–6, 1), C'' (–6, –4), and D'' (–5, –4). Avoid the pond, which is an oval with an origin at (0, 0), a width of 4 units, and a height of 2 units.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as some coordinates to transform are not given.
I will, however, give a general explanation.
Rotate circle 270 degrees counterclockwise
This implies that, we rotate the center of the circle and the rule of this rotation is:
[tex](x,y) \to (y,-x)[/tex]
Assume the center is: (5,3), the new center will be: (3,-5)
Reflect square across y-axis
The rule is:
[tex](x,y) \to (-x,y)[/tex]
If the square has (3,5) as one of its vertices before rotation, the new point will be (-3,5).
Reflect triangle across y-axis, then 3 units up and 2 units left
The rule of reflection is:
[tex](x,y) \to (-x,y)[/tex]
If the triangle has (3,5) as one of its vertices before rotation, the new point will be (-3,5).
The rule of translating a point up is:
[tex](x,y) \to (x,y+h)[/tex] where h is the unit of translation
In this case, h = 3; So, we have:
[tex](-3,5) \to (-3,5+3)[/tex]
[tex](-3,5) \to (-3,8)[/tex]
The rule of translating a point left is:
[tex](x,y) \to (x-b,y)[/tex] where b is the unit of translation
In this case, b = 2; So, we have:
[tex](-3,8) \to (-3+2,8)[/tex]
[tex](-3,8) \to (-1,8)[/tex]
The L shape
[tex]A = (3, 8)[/tex] [tex]A" = (-3, 1)[/tex]
[tex]B = (6, 8)[/tex] [tex]B"= (-6, 1)[/tex]
[tex]C = (6, 3)[/tex] [tex]C" = (-6, -4)[/tex]
[tex]D = (5, 3)[/tex] [tex]D" = (-5, -4)[/tex]
Required
The transformation from ABCD to A"B"C"D"
First, ABCD is reflected across the y-axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]A' = (-3,8)[/tex]
[tex]B' = (-6,8)[/tex]
[tex]C' = (-6,3)[/tex]
[tex]D' = (-5,3)[/tex]
Next A'B'C'D' is translated 7 units down
The rule is:
[tex](x,y) \to (x,y-7)[/tex]
So, we have:
[tex]A"= (-3,8-7) = (-3,1)[/tex]
[tex]B"= (-6,8-7) = (-6,1)[/tex]
[tex]C"= (-6,3-7) = (-6,-4)[/tex]
[tex]D"= (-5,3-7) = (-5,-4)[/tex]
Complete the statements for the graph of f(x)=|x|.
The domain of the function is
______________
The range of the function is
______________
The graph is ____ over the interval (0,♾)
The graph is ____ over the interval (♾,0)
below
Step-by-step explanation:
all real numbers
[0,∞]
increasing
decreasing
N is the centroid of the triangle. Find XN if XG = 33
Answer:
XN = 22
Step-by-step explanation:
Recall: the Centroid theorem states that the Centroid of a triangle is ⅔ of the distance any vertex of the triangle to the midpoint of the side opposite to it.
This implies that:
XN = ⅔(XG)
XG = 33
Substitute
XN = ⅔(33)
XN = 2*11
XN = 22
A fruitseller bought 50 kg of fruits. He sold 30 kg of fruits for the cost price of 35 kg of fruits and he sold the remaining quantity for the cost price of 18 kg of fruits. Calculate his profit or loss percent in the total transaction.
Answer:
6%.
Step-by-step explanation:
For arguments sake lets assume each fruit cost $1.
He spent $50 for the fruit.
His income from the 30 kg he sold was $35.
His income from the remaining 20Kg was $18.
Total income = $35 + $18 = $53
So his profit was 53 - 50 = $3.
= (3/50) * 100
= 6%
3/z when z=2 SORRY FOR HAVING 2 QUESTIONS IN A ROW
3/z when z = 2
= 3/2
= 1.5
This is the answer
Answer:
[tex]3/z\: when\:z=2[/tex]
[tex]\frac{3}{z}=2[/tex]
[tex]\frac{3}{z}z=2z[/tex]
[tex]2z=3[/tex]
[tex]\frac{2z}{2}=\frac{3}{2}=z=\frac{3}{2}[/tex]
[tex]z=1.5\right[/tex]
OAmalOHopeO
Given sin
=
=
V23 and tan o
find cos 0.
23
11 )
12
?
COS 0 =
TO
Answer: [tex]\frac{11}{12}[/tex]
Step-by-step explanation:
Use trigonometry (shown in image below) to find the 3 side-lengths:
The side opposite of θ = [tex]\sqrt{23}[/tex]The base side adjacent to θ = 11The hypotenuse = 12According to right triangle trigonometry:
cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Substitute in the values:
cos θ = [tex]\frac{11}{12}[/tex]
You and your mom enter a drawing with 3 different prizes. A total of 10
people entered the drawing, and prizes are awarded randomly.
There are 720 ways to award the prizes.
What is the probability that you win first prize and your mom wins second
prize?
Answer:
7/504
Step-by-step explanation:
there are 504 possibilities of your mom winning and 7 out of tjose are the odds of her winning.
PLEASE HELP ITS TIMED!!!!
Answer:
It's A
Step-by-step explanation:
DO FOIL
-10d^4+(5+12)d^2s-6s^2=-10d^4+17d^2s-6s^2
Answer:
the first answer: -10a^4 + 17a^2s-6s^2
Step-by-step explanation:
Help!! Please! appreciate it !!
Answer:
I'm pretty sure you are intended to pick AAS.
Step-by-step explanation:
As it stands, AAS. But this can be an unreliable theorem. If you show that the third angles are equal (which they are) using the fact that if two angles of a triangle are equal to the corresponding angles of another triangle, then the third angle is as well. That means that you can use the much more reliable ASA.
-24/15*2/11=
pls tell fast
Answer:
-48/165
Step-by-step explanation:
The floor is in the shape of square. Louis measures the area as 445 square feet. Find the diagonal of the floor.
Answer:
29.83 ft
Step-by-step explanation:
First, you find the square root of 445, which is 21.09.
Then you use the Pythagorean theorem, which is a^2 + b^2 = c^2
because a and b are the same value you plug it in
21.09^2+21.09^2 = c^2
You end up getting:
c^2=889/5762
You then square root both sides to get:
c = 29.83, which is option 3
Delta math please help
Answer:
[tex]\approx 13.0[/tex]
Step-by-step explanation:
The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula states the following:
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the triangle angle of the right triangle. Parameter (c) represents the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown:
[tex]a = 7\\b = 11[/tex]
[tex]a^2+b^2=c^2[/tex]
[tex]7^2+11^2=c^2[/tex]
Simplify,
[tex]7^2+11^2=c^2\\\\49 + 121= c^2\\\\170=c^2[/tex]
Inverse operations,
[tex]170=c^2\\\\\sqrt{170}=c\\\\\\c \approx 13.0384[/tex]
In ΔFKR, which side is included between ∠F and ∠R?
Answer:
First choice
Step-by-step explanation:
It gives you the endpoints of the included side, F and R. Therefore, the side is FR or RF.
|7-4x|>1 como se resuelve está inecuación con valor absoluto??
Answer:
Step-by-step explanation:
te da x<3/2 y x<2, pero la segunda solucion abarca la primera. Por lo tanto creo q seria x<2
Meghan and her sister are going ice skating. It costs $7.25 per person plus $4 for each person's skate rental. Meghan has her own ice skates. But her sister needs to rent them. Meghan gives the cashier $20 for their admission and her sister's skate rental. How much change should she receive?
Answer:
the total amount of change she should receive is $1.50
Step-by-step explanation:
$7.25+$7.25= $14.50
$20.00-$14.50=$5.50
$5.50-$4.00= $1.50
HELP?h?e?l?pppppppppppppppppppppp
Answer:
Yes
Step-by-step explanation:
Shawn and Mark want to save $225.00 . Shawn has $16.00 and saves $10.00 a week . Mark has $22.00 and saves $7.00 each week . Which equation can be used to find the number of week it will take them ? A. 26x - 29x = 225
B. 38x + 17 = 225
C. 55x = 225
D. 38 + 17x = 225
Answer:
D
Step-by-step explanation:
Shawn
Let the number of weeks = w
The beginning amount = 16 dollars
The amount per week is 10 dollars
The number of weeks is 10x
Equation
Savings = 16 + 10x
Mark
Let the number of weeks = w
The beginning amount = 22 dollars
The amount per week is 7 dollars
The number of weeks is 7x
Equation
savings = 22 + 7x
But they are working together so their separate equations must be added.
Total Savings= 16 + 10x + 22 + 7x = 38 + 17x
Answer: 17x + 38 = 225
A bat and a ball cost 1.10$ in total. The bat costs 1 dollar more than the ball. How much does the ball cost?
Answer:
$0.5
Step-by-step explanation:
A + B = 1.10
A=1 +B
now A + B = 1.10
A - B = 1 (B cancels out)
2A = 2.10
A= 1.05
A + B = 1.10
substitute A value
1.05 + B = 1.10
B= 1.10-1.05
B=$ 0.5
Can you answer this math homework? Please!
Answer:
y = 6
Step-by-step explanation:
If x = 1, then: 3 x 1 + y = 9 (first equation)
3 x 1 + y = 9
3 + y = 9
y = 9 - 3
y = 6
need a little help with this
Answer:
-5/2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -12 - 3)/(4 - -2)
= (-12-3)/(4+2)
-15/6
-5/2
Answer:
-5/2
Step-by-step explanation:
(y2-y1)/(x2-x1) = -15/6 = -5/2
Please help please please help
Answer:
Step-by-step explanation:
Number Estimate using a single digit and power of 10
23,898,497 2 × 10⁷
0.000136 1 × 10⁻⁴
26,857 3 × 10⁴
0.0302 3 × 10⁻²
What ordered pairs are the solutions of the system of equations in the graph below?
Answer:
(- 8, 8 ) and (- 4, 1 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the points of intersection of the two
They intersect at (- 8, 8 ) and (- 4, 1 ) ← solutions
Please help!!!!
Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees in the forest that will be infected after t years.
f(t) = e^0.4t
1. The scientists believe the forest will be seriously damaged when 21 or more of the forest’s 200 oak trees are infected by oat wilt. According to their model, how many years will it take for 21 of the trees to become infected?
Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest tenth.
2. Rewrite the exponential model as a logarithmic model that calculates the number of years g (x) for the number of infected trees to reach a value of x.
To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, both to find the needed time and to find the inverse function. From this, we get that:
It will take 7.6 years for 21 of the trees to become infected.The logarithmic model is: [tex]g(x) = \frac{\ln{x}}{0.4}[/tex]Number of trees infected after t years:
The number of trees infected after t years is given by:
[tex]f(t) = e^{0.4t}[/tex]
Question 1:
We have to find the number of years it takes to have 21 trees infected, that is, t for which:
[tex]f(t) = 21[/tex]
Thus:
[tex]e^{0.4t} = 21[/tex]
To isolate t, we apply the natural logarithm to both sides of the equation, and thus:
[tex]\ln{e^{0.4t}} = \ln{21}[/tex]
[tex]0.4t = \ln{21}[/tex]
[tex]t = \frac{\ln{21}}{0.4}[/tex]
[tex]t = 7.6[/tex]
Thus, it will take 7.6 years for 21 of the trees to become infected.
Question 2:
We have to find the inverse function, that is, first we exchange y and x, then isolate x. So
[tex]f(x) = y = e^{0.4x}[/tex]
[tex]e^{0.4y} = x[/tex]
Again, we apply the natural logarithm to both sides of the equation, so:
[tex]\ln{e^{0.4y}} = \ln{x}[/tex]
[tex]0.4y = \ln{x}[/tex]
[tex]g(x) = \frac{\ln{x}}{0.4}[/tex]
Thus, the logarithmic model is:
[tex]g(x) = \frac{\ln{x}}{0.4}[/tex]
For an example of a problem that uses exponential functions and logarithms, you can take a look at https://brainly.com/question/13812761
Solve: f(x) = (x + 1)(x + 1)
Answer:
f(x) = x² + 2x + 1
Step-by-step explanation:
you know how to multiply 2 expressions ?
let's say in general we have
(a + b)(c + d)
you take one part of one expression and multiply it with all parts of the other expression, then you take the second part of the first expression and multiply it with all parts of the other expression, then a potential third part, then a fourth part and so on, and you add all these things together (well, depending on the actual signs, of course).
so, we get for this simple generic example
a×c + b×c + a×d + b×d
now we use that understanding for our question here.
(x+1)(x+1) = x×x + 1×x + x×1 + 1×1 = x² + x + x + 1 = x² + 2x + 1
No idea how to do
[tex]\frac{4r + 20}{r + 5}[/tex]
when r ≠ 5 ?
Factorize the numerator:
4r + 20 = 4r + 4×5 = 4 (r + 5)
I think you meant to say r ≠ -5, which means r + 5 ≠ 0, so that the denominator is never zero and so the expression is defined (no division by zero). This lets you cancel the factor of r + 5 in the numerator with the one in the denominator:
(4r + 20)/(r + 5) = 4 (r + 5)/(r + 5) = 4
Last month, a cafe had 3200 customers. 600 of them ordered gluten-free meals. What percentage of the customers ordered gluten-free meals?
18.75%
Step-by-step explanation:
600÷3200=0.1875
0.1875=18.75%
Answer:
18.75%
Step-by-step explanation: