Answer:
[tex](2-\sqrt{7}, 2+\sqrt{7})[/tex]
Step-by-step explanation:
Solve for d.
4d - 4 = 5d – 8
d =
Answer:
Step-by-step explanation:
-d - 4 = -8
-d = -4
d = 4
Answer:
d= 4
Step-by-step explanation:
4d - 4 = 5d – 8
Subtract 4d from each side
4d-4d - 4 = 5d-4d – 8
-4 = d-8
Add 8 to each side
-4+8 = d-8+8
4 =d
Which expressions are factors of the quadratic function represented by this graph?
A. x and (x+6)
B. (x-6) and (x+6)
C. x and (x-6)
D. x and -6x
Answer:
C. [tex]x[/tex] and $(x-6)$
Step-by-step explanation:
The roots of the quadratic equation are $0$ and $6$.
Hence the equation is $(x-0)(x-6)=x(x-6)$
Answer:
See below
Step-by-step explanation:
If x is 5, then 6x = _____. please help >-
Answer:
30
Step-by-step explanation:
6x
Replace 'x' with 5.
6(5) =
6 * 5 =
30
Hope this helps.
Answer:
30
Step-by-step explanation:
6 x 5 = 30
Choice #1: Marie made an error when solving the equation below.
Part A: Identify Marie’s error and explain why it resulted in an incorrect solution.
Part B: Correctly solve 4x - 8 = 36 for x. Show your work.
Answer:
Marie´s error was not to consider the number 8:
4x - 8 = 36
it´s equal to:
(4x-8)/4 = 36/4
4x/4 - 8/4 = 36/4
x - 2 = 9
x = 9+2
x = 11
probe:
4*11 - 8 = 36
44 - 8 = 36
Marie did not add 8 on the right-hand side so by considering it the solution of the given equation will be 11.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
4x - 8 = 36
Marie add +8 on the left-hand side but forgot to add it to the right-hand side.
Thus, add +8 on the left as well as the right-hand side.
4x - 8 + 8 = 36 + 8
4x = 44
x = 11
Hence "Marie did not add 8 on the right-hand side so by considering it the solution of the given equation will be 11".
For more about the equation,
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(-2 + 1)² + 5(12 : 3) - 9.
Answer:
5(12 : 3) -8
Step-by-step explanation
when you solve the first half of the equation you get 1.
so 9-1 is 8.
The height of the rectangular prism is 2 m. If its volume is 72 cubic meters, what is the area of the base, in square meters?
Answer:
Base area is 36 square meters
Step-by-step explanation:
The volume of a rectangular prism is V = (height)(length)(width). We know all of these dimensions except for the area of the base, which is (length)(width).
Solving this equation for (length)(width), we get:
volume 72 m^3
(length)(width) = (area of base) = -------------- = ------------- = 36 m^2
height 2 m
URGENTLY NEED THIS ASAP PLZ TYSM
Marcie solved the following inequality, and her work is shown below:
−2(x − 5) ≤ 6x + 18
−2x + 10 ≤ 6x + 18
−8x +10 ≤ 18
−8x ≤ 8
x ≤ −1
What mistake did Marcie make in solving the inequality?
She subtracted 6x from both sides when she should have added.
She subtracted 10 from both sides when she should have added.
She did not make a mistake.
When dividing by −8, she did not change the direction of the sign.
Answer:
fifth option
Step-by-step explanation:
Given
- 2(x - 5) ≤ 6x + 18 ← distribute left side
- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )
- 8x + 10 ≤ 18 ( subtract 10 from both sides )
- 8x ≤ 8
Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus
x ≥ - 1
Can anyone help idk how to do it
Answer:
Carl can type 450 words in 5 minutes at that rate.
Step-by-step explanation:
Every two minutes, carl can type 180 words. To find out how many words he can type in 1 minute, all we have to to is divide 180 by 2 to get 90wpm (words per minute)
if we multiply 90wpm by 5 Minutes, we get 450 words per minute
Pls help Q16 thx guys
Answer:
35°
Step-by-step explanation:
Extending line BC to point E on line AD
angle CED = 20° + 95°= 115°
ang|BCD|= ang|CED| + y
150°=115° + y
y= 150° - 115°
y= 35°
Answer:
y = 35°°
Step-by-step explanation:
∠BCD = 360 - 150 = 210°
Sum of angles of quadrilateral = 360°
210 + 20 + 95 + y = 360
325 +y = 360
Subtract 325 form both sides
y = 360 - 325
y =35°
this one from maths pls help
Answer:
The total amount left by Manavi and Kuber is: (1) 399
Step-by-step explanation:
Manavi
saving account + amount spent at the mall: 1/'2 + 1/4 = 3/4
left over: 1 - 3/4 = 4-3/4 = 1/4
1260 ( 1/4) = 315
The total leftover for Manavi is Rs.315.
Now do the same steps with Kuber.
Kuber
saving account + amount spent at the mall: 1/3+ 3/5 = 14/15
left over: 1- 14/15 = 15-14/15 = 1/15
1260 (1/15) = 84
The total leftover for Kuber is Rs.84.
Lastly, just add both left over amount together.
315+84 = 399
The total amount left by Manavi and Kuber is: (1) 399
(2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i)
Answer:
50+50iStep-by-step explanation:
Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.
Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)
On expansion
(3 - i)(3 + i)
= 9+3i-3i-i²
= 9-(-1)
= 9+1
(3 - i)(3 + i) = 10
For the expression (2 + i)(1 - i), we have;
(2 + i)(1 - i)
= 2-2i+i-i²
= 2-i+1
= 3-i
Multiplying 3-i with the last expression (1 + 2i)
(2 + i)(1 - i)(1 + 2i)
= (3-i)(1+2i)
= 3+6i-i-2i²
= 3+5i-2(-1)
= 3+5i+2
= 5+5i
Finally, [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]
= 10(5+5i)
= 50+50i
Hence, (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i
Estimate the solution to the following system of equations by graphing 3x +7y=10 2x-3y=-6
please mark me brain list
Answer:
(- 1/2,5/3)
Step-by-step explanation:
The point (6, 6) is on the graph y = f(x) . Find the corresponding coordinates of this point on the graph y = 4f[1/3x +9] -7
a. (-9,17)
b. (17,-9)
c. (11,11)
d. (9,17)
Answer:
Correct answer is:
a. (-9,17)
Step-by-step explanation:
We are given that a point (6, 6) lies on the graph of [tex]y =f(x)[/tex].
Putting the values from the given point:
[tex]6 =f(6)[/tex]
That means we are given that [tex]f(6) =6[/tex] ..... (1)
And we have to find the corresponding coordinates of this point on the graph of [tex]y = 4f[\frac{1}3x +9] -7[/tex]
From equation (1), we know the value of [tex]f(6)[/tex].
so, let us convert [tex]f[\frac{1}3x +9][/tex] to a form such that it becomes equal to [tex]f(6)[/tex]
[tex]\Rightarrow \dfrac{1}{3}x +9 =6\\\Rightarrow \dfrac{1}{3}x=-3\\\Rightarrow x = -9[/tex]
So, let us put [tex]x = -9[/tex] in the given function:
[tex]4f[\frac{1}3\times (-9) +9] -7\\\Rightarrow 4f[-3 +9] -7\\\Rightarrow 4f(6) -7[/tex]
Now, using equation (1), putting [tex]f(6)=6[/tex]
[tex]\Rightarrow 4\times 6 -7\\\Rightarrow 24-7 \\\Rightarrow y = 17[/tex]
Therefore, the point the corresponding point is:
a. (-9,17)
list the next three terms in the following sequence
1,2,4,7, 11, 16
Answer:
22, 29, 37
Step-by-step explanation:
There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.
Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one
1+0=1
1+1=2
2+2=4
4+3=7
7+4=11
11+5=16
16+6=22
22+7=29
29+8=37
22, 29, 37
When writing a equation how do you know where to put the equal sign ?
Answer:
The equal sign is generally placed at the separation between the left hand side and the right hand side
Step-by-step explanation:
Basically a typical equation has two parts, and one part is seen to be equal to the other part, and they are:
1. The left hand side2. The right hand sideGenerally equations are expressed algebraically,that is using letters/ alphabets and symbols to express mathematical relations
The left hand side mostly is the solution of the equation, while the right hand side contains symbols, alphabets used to find solution to the equation.
The following are scores obtained by some students in a test.
8 18 10 14 18 11 13 14 13 17 15 8 16 13. Find the mode of the distribution
Answer:
[tex] \boxed{13}[/tex]
Step-by-step explanation:
Arranging the data in ascending order:
8 , 8 , 10 , 11 , 13 , 13 ,13 , 14 , 14 , 15 , 16 , 17 , 18 , 18 ,
In the case of discrete data, mode can be found just by inspection, i.e just by taking an item with highest frequency.
Here, 13 has the highest frequency
So, Mode = 13
Extra information
Mode
The mode of a set of data is the value with the highest frequency. A distribution that has two modes is called bimodal. The mode of a set of data is denoted by Mo.
Hope I helped!
Best regards!
In a circle, an arc measuring 130° is what percentage of the circumference of the circle
Answer:
≈ 36.1%
Step-by-step explanation:
In any circle the following ratio is equal
[tex]\frac{arc}{circmference}[/tex] = [tex]\frac{centralangle}{360}[/tex] = [tex]\frac{130}{360}[/tex] , thus
percentage = [tex]\frac{130}{360}[/tex] × 100% ≈ 36.1%
an arc measuring 130° is approximately 36.11% of the circumference of the circle.
To find the percentage of the circumference that an arc measuring 130° represents, we need to calculate the ratio of the arc length to the circumference of the circle and then convert it to a percentage.
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
Let's assume the radius of the circle is r.
The circumference of the circle is C = 2πr.
To find the length of the arc corresponding to 130°, we need to calculate the fraction of the total angle (360°) that 130° represents:
Fraction of the angle = (130° / 360°) = (13/36).
Since the fraction of the angle is equal to the fraction of the arc length to the circumference, the length of the arc can be calculated as:
Arc length = Fraction of the angle * Circumference = (13/36) * (2πr).
Now, to find the percentage of the circumference that the arc length represents, we divide the arc length by the circumference and multiply by 100:
Percentage = (Arc length / Circumference) * 100
Percentage = [(13/36) * (2πr)] / (2πr) * 100
Percentage = (13/36) * 100
Percentage = 36.11%
Therefore, an arc measuring 130° is approximately 36.11% of the circumference of the circle.
Learn more about arc length here
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Given that ∆MTW ≅ ∆CAD, which angles are corresponding parts of the congruent triangles? ∠T ≅ ∠C ∠T ≅ ∠A ∠T ≅ ∠D
Answer:
∠T ≅ ∠A
Step-by-step explanation:
Since, ∆MTW ≅ ∆CAD
Therefore, ∠T ≅ ∠A (cpct)
Sally left Tampa traveling 66 mph. Keith, to catch up, left some time later driving at 75 mph. Keith caught up after 8 hours. How long was Sally driving before Keith caught up?
Answer:
9.1 hours
Step-by-step explanation:
Given
Sally
Speed = 66mph
Keith
Speed = 75mph
Time = 8 hours
Required
Determine how long Sally has traveled
To solve this, we make use of Speed formula.
Speed = Distance/Time
Make Distance the subject of formula
Distance = Speed * Time
For Sally:[Substitute 66mph for speed]
Distance = 66 * Time ------ Equation 1
For Keith [Substitute 75mph for speed and 8 hours for Time]
Distance = 75 * 8
Distance = 600m----- Equation 2
From the question, we understand that Keith caught up; this implies that they've both traveled the same distance.
Hence;
Equation 1 = Equation 2
66 * Time = 600
Time = 600/66
Time = 9.1 hours
Hence, Sally has traveled 9.1 hours
please help me as soon as you can please
Answer:
f(x) = 5 * ( 8/5) ^x
Step-by-step explanation:
f(x) = a b^x
Let x = 0
5 = a * b^0
5 = a*1
a = 5
Let x = 1
8 = 5 * b^1
Divide each side by 5
8/5 = b
f(x) = 5 * ( 8/5) ^x
can someone plzz answer dis ma braincells dont seem to work
Answer:
Good luck undersatnding.
Step-by-step explanation:
1.
A) 27 (over) 4
B) 97 (over) 117
2.
C) 8
D) -243 (over) 32
3.
Square root of 25 is 5
Square root of 16 is 4
Square root of 9 is 3
Square root of 1 is 1
4.
E) 553 (over) 72
F) 11 (over) 56
G) 65 (over) 18
H) 28 (over) 9
5.
E) 35941
F) 81130
G) 79567.75
H) 20525.857
I dont know 7-8
9.
E) Negative
F) Positive
G) Positive
H) Negative
10.
Square root of 25 is 5
Square root of 64 is 8
Square root of 121 is 11
Square root of 225 is 15
I couldn't post images for 6, it wont let me.
8 times the sum of a and b
Answer:
c
Step-by-step explanation:
i did the quiz
Answer:
8(a + b)
Step-by-step explanation:
Sun of a and b = a + b
8 times of (a + b) = 8(a + b)
How do I solve this question 5x - [7 - (2x - 1)] = 3(x - 5) + 4(x + 3)
Answer:
x = 6/4, or x = 3/2, OR x = 1 1/2
Step-by-step explanation:
5x - [7 - (2x-1)] = 3(x-5) + 4(x+3)
Pick one side to work on first, I will chose the right side,
Distribute on the right side.
5x - [7 - (2x-1)] = 3x - 15 + 4x + 3
Now, add like terms on the right side.
5x - [7 - (2x-1)] = 7x - 12
Now, to isolate 7 - (2x -1), subtract 5x from both sides.
so now,
-7 - (2x-1) = 2x - 12
Now, we can add 7 to both sides of the equation to isolate -(2x-1)
we add instead of subtract because the seven is a negative.
-(2x-1) = 2x - 5
Now, there is still a negative sign in front of the (2x-1), so we distribute the - to the equation.
-2x + 1 = 2x - 5
Now, we can isolate the variable and numbers bu adding five to both sides, and adding 2 to both sides. This is to make the equation easier by removing any negative terms.
6 = 4x
Divide both sides by 4
x = 6/4, or x = 3/2, OR x = 1 1/2
Cobalt-60 is used for radiotherapy. It has a half-life of 5.26 years. If 4 g of cobalt-60 is administered, how much remains in 3 years? A. 1.2 g B. 2.7 g C. 3.3 g D. 2.1 g E. 0.2 g
Answer:
B. 2.7 g
Step-by-step explanation:
The half life of a substance is the time taken for the substance to reduce to half of its original amount. It is given by:
[tex]A=A_o*(\frac{1}{2})^\frac{t}{t_{1/2}}\\ Where\ A\ is \ the \ amount \ of \ substance\ remaining\ after\ t\ years, \\A_o \ is \ the\ initial\ value\ of \ the\ substance,\ t_{1/2} is\ the\ half\ life\ and\\t\ is\ the\ years\ spent[/tex]
Given that:
Ao = 4 g, t = 3 years, t(1/2) = 5.26 years. Therefore:
[tex]A=A_o*(\frac{1}{2})^\frac{t}{t_{1/2}}\\A=4*(\frac{1}{2} )^\frac{3}{5.26}=4*0.6735=2.7\\ A=2.7\ g[/tex]
I need helps will give you a good rating.
Answer: x = 3
Step-by-step explanation:
Sqrt(x+7) - 1 = x
Sqrt(x+7) = x + 1
x+7 = x^2 + 1
x = x^2 - 6
x=3
Please answer this question now
Answer:
112°
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\widehat {BCD} = 2\times m\angle BAD\\
\therefore m\widehat {BCD} = 2\times 129\degree \\
\therefore m\widehat {BCD} = 258\degree\\\\
\because m\widehat{CD} = m\widehat {BCD}-m\widehat{BC} \\
\therefore m\widehat{CD} = 258\degree - 146\degree \\
\huge \red {\boxed {\therefore m\widehat{CD} = 112\degree}} [/tex]
what is the key term for at most
Answer:
less than or equal to it hope this helps you!
What is 105x - 125y + 236z if "x = 10, y = 23, and z = 54" (40 points!) GIVE A GOOD EXPLANATION, NOT JUST AN ANSWER, WHO EVER DOES IT RIGHT FIRST GETS BRAINLIEST.
Answer:
Hey mate, here is your answer. Hope it helps you.
Step-by-step explanation:
105x-125y+236z
Now you need to multiply the values which are given for respective variables.
=105*10-125*23+236*54
=1050-2875+12744
=10919
Hi there friend!
The answer: 10,919
First we need to rewrite the problem.
105(10) - 125(23) + 236(54)
Now we need to multiply everything like so it looks like this:
1050 - 2875 + 12744 which equals:
10,919
Find y round to the nearest tenth
Y is 27.8
Just trust me please :)
4x + 5y = 19 , 5y - 4x = 38
Answer:
Step-by-step explanation:
Adding both equations
4x+5y+5y-4x=19+38
10y = 57
y= 5.7
Subtracting equation i from ii
5y-4x-4x-5y=38-19
-8x=9
x= -0.9