Answer:
[tex]y=\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]4(y+1)= \frac{3}{1-y}[/tex]
[tex]4y+4= \frac{3}{1-y}[/tex]
[tex](4y+4)(1-y)= 3[/tex]
[tex]4y(1-y)+4(1-y)=3[/tex]
[tex]4y-4y^{2} +4-4y=3[/tex]
[tex]-4y^{2}=3-4[/tex]
[tex]4y^{2}=1[/tex]
[tex]y^{2} = \frac{1}{4}[/tex]
[tex]y=\sqrt{\frac{1}{4} }[/tex]
[tex]y=\frac{1}{2}[/tex]
Given f(x) = 2x + 2, solve for x when f(x) = -4
Anyone know the answer?
Use the given similar triangles to find the value of x
I need the answer fast please!!
Answer:
I believe the answer is x=7
Step-by-step explanation:
3x and 4x-1 are corresponding sides and so are 14 and 18.
You cross multiply with the smaller triangle lengths at the top.
3x/(4x-1)= 14/18
Cross multiply to get
18(3x)= 14(4x-1)
54x=56x-14
Subtract 54x on the other side and add 14 to the other (or subtract 56x to the other side)
you get 14=2x and divide 14 by 2 to get x=7
32°
C
B
D
E
What is the measure of ZABD?
A 32°
B. 58°
O c. 64°
OD. 148°
O E. 180°
The measure of angle ZABD is 106°, the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The line AE and CD
Now,
The angle sum property to find angle D:
Z + A + B + D = 360° Substitute the given values:
Z + 32 + 58 + D = 360 Simplify:
Z + D = 270 Subtract Z from both sides:
D = 270 - Z
Now, you need to find angle Z. To do that, you can use the fact that opposite angles in a quadrilateral are supplementary, meaning they add up to 180°2. So, angle Z and angle C are supplementary:
Z + C = 180°
You can use the fact that C is an exterior angle of triangle YZX and it is equal to the sum of the opposite interior angles3. Therefore, C = Y + X. Substitute this value:
Z + Y + X = 180°
You are given that Y = 10° and X = 6°. Substitute these values:
Z + 10 + 6 = 180 Simplify:
Z = 164
Now, you can use this value to find angle D:
D = 270 - Z Substitute Z = 164:
D = 270 - 164 Simplify:
D = 106
Therefore, by algebra the answer will be 106°.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ7
Solve for r: P= 2 r + 2x
Answer:
The correct answer is,
[tex]r = \frac{p}{2} - x[/tex]
What is the hardest part of solving a triangle with 2 sides given for you?
Answer:
As long as you understand the principles and rules of trig you can apply them to just about any problem. The hardest thing about word problems is understanding what they are asking.
Step-by-step explanation:
You flip a coin 100 times in the air and find that it lands on heads 65 times. Determine the theoretical and experimental probability of landing on heads. In your final answer, include all of your calculations.
Answer:
The experimental probability --> [tex]\frac{13}{20}[/tex]
The theoretical probability --> [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Key skills needed: Experimental vs theoretical probability, Fractions
1) The first thing you need to understand is experimental probability vs theoretical probability. (Do not include this in your work!!)
- Theoretical probability is based on simple reasoning
- Experimental probability is based on the results a person gets (so the experiment you did by flipping the coin)
2) Now with this, let's start solving:
Experimental probability ---> [tex]\frac{heads}{total}[/tex] --> You flipped the coin a total of 100 times, so the denominator would be 100. 65 of those would be heads so 65 is our numerator. So our experimental probability is --> [tex]\frac{65}{100}[/tex] --> Both have the factor of 5, so take the factor of 5 out of the numerator and denominator and you will get --> [tex]\frac{13}{20}[/tex] Now onto theoretical probability --> [tex]\frac{heads}{total}[/tex] --> There are 2 faces of a coin, 1 side is heads, and 1 side is tails --> The total number of faces is 2, so 2 is our denominator. There is only 1 side that is heads, so 1 is the numerator. This means --> Our theoretical probability is [tex]\frac{1}{2}[/tex]Hope you understood and have a nice day!! :D
Answer:
Experimental Probability: 65/100 We tested the probability 100 times, 65 of those times being heads. So %65 is our experimental probability (in percentage form) of flipping a coin and landing on heads. Simplified, 13/20 is our fraction.
Theoretical Probability: 50/100 or 1/2. There are two sides to a coin, and one is heads, so the theoretical probability is 1/2. In percentage form, the probability would be %50, or 50/100.
Are -4 ( x - 6) and -4 • x - 4 • 6 equivalent
Answer:
[tex]no[/tex]
Step-by-step explanation:
Lets solve the first half.
[tex]-4 ( x - 6) = -4x + 24[/tex]
Second one:
[tex]-4 times x - 4 times 6 = -4x -24[/tex]
Now compare.....Not the same right??
So your answer is: [tex]no[/tex]
Hope this helps :)
Find the coordinates of the midpoint ofL(2, -4), M(4, 6)
Answer:
[tex]\displaystyle (3,1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point L(2, -4)
Point M(4, 6)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [MF]: [tex]\displaystyle (\frac{2+4}{2},\frac{-4+6}{2})[/tex][Fraction] Add: [tex]\displaystyle (\frac{6}{2},\frac{2}{2})[/tex][Fraction] Divide: [tex]\displaystyle (3,1)[/tex]what is the slope of the line that contains points (3,-9) and (-2,16) please help !!
Slope = Change in Y / change in x
Slope = (16 - -9) / (-2 - 3)
Slope = 25/-5
Slope = -5
Create a story for the following function: y=15,000 - 250x please help!!
Answer:
just search and then thats it
Renee calculated 3/6 plus 2/4 and said the answer equaled 5/10. Amanda solved the same problem and said the answer equaled one whole. Whose answer is more reasonable?
Answer:
Amanda's
Step-by-step explanation:
Given :
3/6 + 2/4
The L. C. M of 6 and 4 = 12
(6 + 6) / 12
12 / 12
= 1
Renne's result = 5/10
Amanda's result = 1 whole
Hence, Amanda's result makes more sense.
what is 11.35 divided by 0.35?
Answer:
32.43 (rounded)
Step-by-step explanation:
Answer:
32.4285714
Step-by-step explanation:
11.35/0.35=32.4285714
This is the answer however if your question has asked to round it to two decimal places the answer would be 32.43
i hope this helps
acceleration of a runner who goes from 1.4 m/s to 2.2 m/s in 4 s
Answer:
acceleration is 0.2m/s²
Step-by-step explanation:
Vf=Vi+at
Lets susbtitute our known variables into the equation
2.2=1.4+a(4)
We get
a=0.2m/s²
Enter an expression equivalent to (a^9/a^3) in the form a^m
Answer:
Step-by-step explanation:
[tex]\frac{a^{9} }{a^{3} } =>[\frac{a^{3} }{a} ]^{3}[/tex]
HELP WITH MATH WILL GIVE 10 POINTS, GOOD RATING, AND BRAINIEST
Answer:
ok.....mmmm............
Answer:
whats the ?
Step-by-step explanation:
1) Solve: – 4x – 11 = 7
Pls help
Answer:
x = -9/2
Step-by-step explanation:
-4x - 11 = 7
-4x = 7 + 11
-4x = 18
x = -18/4
x = -9/2
Paisley set up the following equation to solve a math problem: 33 + 57 + x = 180. What could the x represent?
Details: Cargo ship can carry 21,600 tons Cars weigh 3.6 tons each Trucks weigh 7.5 tons each y = number of cars x= number of trucks Your equation was 3.6y + 7.5x = 21600 Find the number of trucks that can be shipped if there are no cars.
Given:
The equation is
[tex]3.6y+7.5x=21600[/tex]
where, y is the number of cars and x is the number of trucks shipped.
To find:
The number of trucks that can be shipped if there are no cars.
Solution:
We have,
[tex]3.6y+7.5x=21600[/tex]
If there are no cars in the cargo ship, then y = 0 because y is the number of cars.
Putting y=0 in the given equation, we get
[tex]3.6(0)+7.5x=21600[/tex]
[tex]0+7.5x=21600[/tex]
[tex]7.5x=21600[/tex]
Divide both sides by 7.5.
[tex]x=\dfrac{21600}{7.5}[/tex]
[tex]x=2880[/tex]
x is the number of trucks shipped.
Therefore, the number of trucks that can be shipped if there are no cars is 2880.
A new car is purchased for $32,500. The car depreciates every year ata
rate of 14%. Write an exponential function that represents that situation
Answer:
[tex]y=32500(0.86)^{x}[/tex]
Step-by-step explanation:
General exponentially depreciating function is given as
[tex]y= a(1-b)^{x}[/tex]------------(1)
Where a is initial value, b is percent depreciation/unit time and x is time
Here
[tex]a=32,500 \ \ \ b=0.14 \ \ \ and \ \ x \ is \ time \ in \ years[/tex]
Substituting above values in equation (1)
[tex]y=32500(0.86)^{x}[/tex]
At x=0
[tex]y=32500(0.86)^{0}\\y=32500[/tex]
At x=1
[tex]y=32500(0.86)^{1} \\y=27950[/tex]
X + 3 =8
X- 5 =7
Please someone help?
Step-by-step explanation:
x+3=8
8-5=3 so x=5
7+5=12 / 12-7=5
12-5=7
Answer:
the answer is (1) x = 5 (2) x = 12
simplify the following
[tex]\sqrt{98][/tex]
[tex]\sqrt{16 b^{5} }[/tex]
[tex]3\sqrt{5m} x 4\sqrt{\frac{1}{5} m3}[/tex]
[tex]\sqrt{26x2}[/tex]
Step-by-step explanation:
Simplify:
[tex]\sqrt{98} = \sqrt{49*2} = \sqrt{7^2*2} = 7\sqrt{2}[/tex][tex]\sqrt{16b^5} = \sqrt{4^2(b^2)^2b} = 4b^2\sqrt{b}[/tex][tex]3\sqrt{5mx^4} \sqrt{1/5m^3} = 3\sqrt{5*1/5*m^4x^4} = 3\sqrt{(m^2)^2(x^2)^2} = 3m^2x^2[/tex][tex]\sqrt{26x^2} = x\sqrt{26}[/tex]Answer:
[tex]→ \sqrt{98} = \sqrt{7 \times 7 \times2} = 7 \sqrt{2}✓ [/tex]
[tex]→ \sqrt{ 16{b}^{5} }= \sqrt{4 \times 4 \times {b}^{5} } = 4 {b}^{ \frac{5}{2} } ✓[/tex]
[tex]→3 \sqrt{5 mx^{4} } \sqrt{ \frac{1}{5} {m}^{3}} = 3 \sqrt{5 \times \frac{1}{5} {m}^{4} {x}^{4} } = 3 {m}^{2} {x}^{2} ✓[/tex]
[tex] →\sqrt{26 {x}^{2} } = \sqrt{26} x✓[/tex]
Is the set of ordered pairs presented in the arrow diagram a function?Explain.
Answer:
no
Step-by-step explanation:
a function cant have the same range
Answer:
Functions as Arrow Diagrams When the domain and codomain of a function are finite sets then one can represent the function by an arrow diagram. Remember that an arrow diagram represents a function if exactly one arrow must leave each element of the domain and point to one element in the codomain.
Step-by-step explanation:
EASY QUESTION!! is 12.0095 the same as 12.95?
Answer:
no
Step-by-step explanation:
not the same
James sat an English quiz. He scored 7 out of 8 what percentage did he get right?
Answer:
James scored 87.5% in the test.
Step-by-step explanation:
7 x 100 : 8 = 87.5%
Calculate the slope represented by the table.
Answer:
y=2x-3
Step-by-step explanation:
I hope that helped
The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?
Answer:
Around 364
Step-by-step explanation:
So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)
Then you multiply this by 57: 57x6.4 = 364.8
Find value of X please
Answer:
x=7
Step-by-step explanation:
Step #1- Set the two lines equal to each other
10+12=x+15
Step #2- Solve for the line you have all values for
10+12=22
Step#3- Plug 22 back into the equation where the two lines are set equal to each other
22=x+15
Step #4- Solve for X algebraically
22=x+15
22-15=x
7=x
what year was the best 2020 or 2019 lol I think we all know the answer
Answer:
2019 obviously!!!!!!!!!!
If I add 3 to the left side of the equation, what do I have to do to the right side of the equation?
Question 3 options:
nothing
subtract 3
add 3
multiply by 3
Find the value of A in each cases:
- cosA=√3/2
Answer:
A = [tex]\frac{5\pi }{6}[/tex]
Step-by-step explanation:
Given that Cos A = [tex]-\frac{\sqrt{3} }{2}[/tex]
cos A = [tex]cos (\pi -\frac{\pi }{6} )[/tex]
A = [tex]\pi - \frac{\pi }{6}[/tex]
A = [tex]\frac{5\pi }{6}[/tex]