simplify 5/4+4(3/4−1/2)^2
Step-by-step explanation:
5/4+(12/4_1/2)^2
5/4+((12_8)/4)^2
5/4+1
9/4
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{3}{4}[/tex] - [tex]\frac{1}{2}[/tex] )²
= [tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{1}{4}[/tex] )²
= [tex]\frac{5}{4}[/tex] + 4 × [tex]\frac{1}{16}[/tex]
= [tex]\frac{5}{4}[/tex] + [tex]\frac{1}{4}[/tex]
= [tex]\frac{6}{4}[/tex]
= [tex]\frac{3}{2}[/tex]
Carrie earns $8.50 per hour for tutoring her little brother. How many hours must Carrie tutor to earn $408?
Answer:
48 hours
Step-by-step explanation:
The number of hours that Carrie must tutor to earn $408 will be 48 hours.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Carrie earns $8.50 per hour for tutoring her little brother.
Let x be the number of hours. Then the equation is given as,
8.50x = 408
Simplify the equation, then we have
x = 408 / 8.50
x = 48 hours
The number of hours that Carrie must tutor to earn $408 will be 48 hours.
More about the solution of the equation link is given below.
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Find the inverse of the function y = x2 – 12.
Answer:
y = √ x+12(square root of x+12)
Step-by-step explanation:
x = y^2 - 12
x+12 = y^2
y^2 = x+12
y = √ x+12
Answer:
Question 1. Find the inverse of the function y = x2 – 12.
B. y=+/- sqrt x+12 end sqrt
Question2. Find the inverse of the function y=2x2+2
D. y= +/- sqrt 1/2x-1 end sqrt
Explain what is happening at this step in the solving equation process.
1. 10 − 6 x = 4 + 5 x
2. 7-6x=1+5x
Answer:
1. After solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]
2. After solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]
Step-by-step explanation:
We need to Solve the equations.
1. [tex]10 - 6 x = 4 + 5 x[/tex]
Step 1: Subtract 5x on both sides
[tex]10 - 6 x-5x = 4 + 5 x-5x\\10-11x=4[/tex]
Step 2: Subtract 10 on both sides
[tex]10-11x-10=4-10\\-11x=-6[/tex]
Step 3: Divide both sides by -11
[tex]\frac{-11x}{-11}=\frac{-6}{-11}\\x=\frac{6}{11}[/tex]
So, after solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]
2. [tex]7-6x=1+5x[/tex]
Step 1: Subtract 5x on both sides
[tex]7 - 6 x-5x = 1 + 5 x-5x\\7-11x=1[/tex]
Step 2: Subtract 7 on both sides
[tex]7-11x-7=1-7\\-11x=-6[/tex]
Step 3: Divide both sides by -11
[tex]\frac{-11x}{-11}=\frac{-6}{-11}\\x=\frac{6}{11}[/tex]
So, after solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]
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Question 3 of 20 -
E
ZahraouiAziz Midterm Geometry Pt 1 2020-2021 Question: 134
A line segment has an endpoint at (4.6). If the midpoint of the line segment is (1,5), what are the.coordinates of the point at the other endorine ne segment?
O (3, 1)
O (-2,4)
O (7.7)
O (5, 11)
Chrome OS. 28m)
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Answer: most likely be (7,7) not sure right or wrong but i tried so yeah
Step-by-step explanation:
Write an algebraic rule to describe the relationship in the table.
Answer:
um idrk lol but I LIKE UR CUT G!!!!
B is the midpoint of AC, D is the midpoint of CE, and AE = 21.
Find BD. The diagram is not to scale.
Please help
Geometry
Answer:
Required Answer:-[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]
The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.
What is a triangle?A closed shape with both inner and exterior angles, a triangular is created by three lines. the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side.
The value of AE is given as 21.
From the diagram that is given, it is indicated that according to the midpoint theorem
BD║AE
Also, BD= 1/2 ×AE
BD = 21/2
BD = 10.5 cm.
Therefore, option D is the correct option.
Learn more about triangles, Here:
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The question is incomplete, the complete question will be :
A. 42
B. 21
C. 11.5
D. 10.5
Which of the following can be used to find the measure of angles
How do I Find x, y and z
Answer: to solve the 3 unknown variables X, Y and Z in a set of 3 equations. Each equation has containing the unknown variables X, Y and Z. This 3 equations 3 unknown variables solver computes the output value of the variables X and Y with respect to the input values of X, Y and Z coefficients. In mathematic calculations, there are many situation arises where the usage of equation containing 3 unknown variables need to be solved prior to go further with the calculations. Therefore when it comes to online calculation, this Find the value of X, Y and Z calculator is an essential tool to assist you to find out the variable values given in the equation.
Step-by-step explanation: X = 2
Y = -1
Z = 1
Which number line correctly shows 0.8 + 0.3?
Answer:
B
Step-by-step explanation:
Answer:
B. Is the correct way to show the problem.
Step-by-step explanation:
A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3
C: C shows 0.8 - 0.3. Remember + goes right - goes left.
D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.
please help , giving brainliest and a thanks!!
Answer:
E
Step-by-step explanation:
When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.
Answer:
BDE, absolute value is how far away it is from 0 so it is BD and E
Step-by-step explanation:
It says select all that apply aswell which is why there is more then one answer
Find a solution to the system. Make sure to write as a coordinate.
Answer:
x=2, y=3
Step-by-step explanation:
This is a system of equations.
To solve a system of equations, we use the substitution method.
We can plug in the first equation, [tex]x=2y-4[/tex], into the value for x in the second equation. Now, the second equation looks like this:
[tex]2*(2y-4)+y=7[/tex]
We simplify and solve for y:
→ [tex]4y-8+y=7[/tex]
→ [tex]5y=15[/tex]
→ [tex]y=3[/tex]
Now, we plug in the value for y, which is 3, into either equation. I will just use the first equation:
→ [tex]x=2*3-4[/tex]
→ [tex]x = 2[/tex]
Let me know if my explanation is unclear.
At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the
investment changed by a loss of $17.40.
What was the value, in dollars, of the investment at the end of the month?
Answer:
$36.52
you're welcome :)
Hi, anyone able to help with qn 7? Thanks :)!
Answer:
Step-by-step explanation:
I used the quadratic formula to find the roots of [tex]x^{2} + x -1[/tex]
[tex]a=\frac{-1-\sqrt{5}}{2} b=\frac{-1+\sqrt{5} }{2}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} )^{2} * \frac{-1+\sqrt{5}}{2}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{-1+\sqrt{5}}{2}*(\frac{-1-\sqrt{5}}{2} )[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{-1+\sqrt{5}-\sqrt{5} -4}{4}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{ -4}{4}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * -1[/tex]
[tex]\frac{-1-1\sqrt{5} }{2\sqrt{3} }*-1[/tex]
[tex]\frac{-1-1\sqrt{5} }{2\sqrt{3} } = \frac{\sqrt{5}+1 }{2\sqrt{3} }[/tex]
kaede's grades for math in first term are 70,80,60,90,100 . what is his average plz help me and thank u
Answer:80
Step-by-step explanation:
take 20 from 100 and give them to 60.
take 10 from 90 and give to 70.
adds ut to avg 80
What is 31.68 - 19.55 =
Answer:
12.13
Step-by-step explanation:
Please tell me if I'm correct!
Answer:
12.13
Step-by-step explanation:
the distance between two towns is 300 km two cars start simultaneously from this towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 kilometre find the speed of the cars
Answer: I think its 131.19, but not too sure.
Step-by-step explanation:
To find the speed, you would do distance/time, so I added 300 and 7. I got 307, then I divided 307 (distance) from 2.34 (time). I got 131.19
Do you want the speed of both cars? then the answer would be:
(300)- first car= 128.20
(307)- second car= 131.19 (if you need to round this answer, it would be 131.2)
.
Solve the system of equations 3x + 2y = 22 and x - 2y = -6.
solve system of equations
Answer:
x=4
y=5
Step-by-step explanation:
inform me if u cant open the image
Answer:
(4,5)
Step-by-step explanation:
I solved through substitution
3x+2y=22
x-2y=-6 ----> -2y=-6-x ----> -2y=-x-6 -----> y=1/2x+3
Solving for x:
3x+2y=22
3x+2(1/2x+3)=22
3x+x+6=22
4x+6=22
4x=16
x=4
Solving for y:
x-2y=-6
4-2y=-6
-2y=-10
y=5
(4,5)
Question: In Boston, Massachusetts, there is a 60% probability of rain on a specific day. How was this probability most likely determined?
Options:
A. On this day each year, it rains 60% of the time.
B. On days with similar conditions as this day, it has rained 60% of the time in Massachusetts.
C. During this month, it rains 60% of the days.
D. On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
E. The probability was determined randomly.
Answer:
On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
Step-by-step explanation:
I got it right on the quiz
The correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."
What is probability?Probability is the possibility of happening an event.
Given that, there is a 60% probability of rain on a specific day.
Therefore, it rained 60% of the time on that day.
Hence, the correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."
Learn more on probabilities here:
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Simplify the expression.
(42 − 2)2
Answer:
80
Step-by-step explanation:
The floor of a room is 12m long and 7.5m broad i) Find the area of the floor ii) Find the cost of carpeting the floor at rs 80 per sq.m
(Unitary method)
A=90m^2
Cost=RS.7200
I hope that helps
Answer:
this is the formula that you want
How would I unrationalize this fraction?
I am trying to find the cotangent in simplest form
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[tex] \cot(teetha) = - 1[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The cotangent in simplest form is -1.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
cos θ = √2 / 2
We know that from trigonometric ratio,
[tex]cos \theta = \frac{Adjacent}{Hypotenuse}[/tex] , [tex]cot \theta = \frac{Adjacent }{ Opposite }[/tex]
So, the adjacent side = √2 and the hypotenuse side = 2.
The other side of the right triangle can be found by Pythagoras theorem,
[tex]hypotenuse^{2}=adjacent^{2}+opposite^{2}[/tex]
⇒ [tex]2^{2}=(\sqrt{2} )^{2} +opposite^{2}[/tex]
⇒ [tex]opposite^{2} = 4-2[/tex]
⇒ [tex]opposite = \sqrt{2}[/tex]
Thus, [tex]cot \theta = \frac{\sqrt{2} }{\sqrt{2} }[/tex]
⇒ [tex]cot \theta = 1[/tex]
Since cot θ < 0, [tex]cot \theta = - 1[/tex]
Hence we can conclude that the cotangent in simplest form is -1.
Learn more about trigonometry here
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How many times smaller is a group of 4 coins than a group of 16 coins?
Answer:
4 times.
Step-by-step explanation:
16/4 = 4.
Hope this helped!
Which system matches the graph below?
y = -4 x and y = 2 x - 3
y = -4 x and y = 2 x + 3
y = 4 x and y = 2 x - 3
y = -4 -x and y = 2 x - 3
Answer:
(a)
Step-by-step explanation:
[tex]y= -4^{x}[/tex] and y = 2x - 3
whats 9-7 1/4 ASAP PLEASE
Answer:
The answer is 1 3/4
Answer:
1 3/4
Step-by-step explanation:
7 1/4 + 1 3/4 = 9
Please choose my answer as the most helpful if it is. I want brainliest. :)
almost due. would appreciate help please :)!!
Mrs. Billings has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Mrs. Billings can buy. *
20 points
60≥22x-8
22x+8≤60
22-8x≥60
22+8x≤60
Answer:
I believe the answer is D.
Step-by-step explanation:
22= jeans 8x= 8 dollars PER shirt
All of this has to be less than or equal to $60 because that is all the money she has. I hope this helps!! Please mark me brainliest!!
Answer:
[tex] 22 + 8x \le 60 [/tex]
Step-by-step explanation:
She has at most $60, so the amount she spends is less than or equal to $60.
[tex] amount~she~spends \le 60 [/tex]
The jeans cost $22.
The shirts cost $8 each, so for x shirts, she'll pay 8x.
The total amount she spends is 22 + 8x. It must be less than or equal to 60.
[tex] 22 + 8x \le 60 [/tex]
How do I solve this equation?
Answer:
X = 4 X = -6
Step-by-step explanation:
X + 1 = 5 X + 1 = -5
X = 5 - 1 X = -5 -1
X = 4 X = -6
Answer:
Step-by-step explanation:
What absolute values of x will fit.
l4+1l=5
l -6+1l=5
Hey can someone please help quickly thanks!
Answer:
360,000
Step-by-step explanation:
just multiply by 3
Answer:
3,120 second year 3,244.80 the third year.
Step-by-step explanation:
4% of 3,000 is 120
so 3,120 then 3,244.80 the third year after the 4% is compounded
What effect can be observed because of the gravitational pull between Earth and the moon.
HURRY THIS IS DUE IN 11 MINUTES! I NEED ANSWERS ASAP!!!!!
Answer:
The moon's gravitational pull on the Earth is the main cause of the rise and fall of ocean tides.
Step-by-step explanation:
The moon's gravitational pull causes two bulges of water on the Earth's oceans—one where ocean waters face the moon and the pull is strongest and one where ocean waters face away from the moon and the pull is weakest.
Hope it helped!!