Step-by-step explanation:
4² = 16
5² = 25
16+25 = 41
41 is the answer.
Hope it helps! :)
Answer:
[tex]( {4}^{2} + {5}^{2} ) \\ (16 + 25) \\ = 41[/tex]
4x⁴+3x²y²+9y⁴
solve by step by step
Answer:
4x^4+3x^2y^2+9y^2
(2x^2)^2 + 2×2x^2×3y^2 + (3y^2)^2 - 9
(2x^2 + 3y^2)^2 - (3)^2
(2x^2 +3y^2+3)(2x^2+3y^3-3)
What is the soution of (Image below)
Answer:
A
Step-by-step explanation:
Starting with the original equation:
[tex]\sqrt{1-3x} =x+3[/tex]
Squaring both sides to remove the root, and expanding the right side:
[tex]1-3x=(x+3)(x+3)[/tex]
Multiplying the right side:
[tex]1-3x=x^{2} +6x+9[/tex]
Combine like terms:
[tex]x^{2} +9x+8[/tex]
Factor:
(x+8)(x+1)
If x+8=0, then x= -8
If x+1=0, then x=-1
Sean is a bookworm. On average, he reads pages in minutes.
Answer:
wow thats very interesting
Step-by-step explanation:
whats ur question
7). Express 98 in base 2
ANSWER
1100010
EXPLANATION
converting 9810 to 2
The equation calculation formula for 98 base10 number to base 2 is like this below.
2|98|
2|49|0
2|24|1
2|12|0
2|6|0
2|3|0
2|1|1
2|1|1
Ans:1100010 base2
A quadratic equation is shown below:
6x2 + 17x + 9 = 0
Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)
Part B: Solve 4x2 − 4x + 1 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)
(10 points)
Answer:
x = -0.70,-2.212.
Step-by-step explanation:
(a) The quadratic equation is :
[tex]6x^2 + 17x + 9 = 0[/tex]
Here,
a = 6, b = 17, c = 9
Put all the values in the quadratic formula.
[tex]x=\dfrac{-17+\sqrt{17^2-4\times 6\times 9}}{2(6)},\dfrac{-17-\sqrt{17^2-4\times 6\times 9}}{2(6)}\\\\x=-0.70,-2.12[/tex]
So, the solution of the given equation are -0.70,-2.212.
(b) Equation is : [tex]4x^2 -4x + 1 = 0[/tex].
Here, a = 4, b = -4 and c = 1
So,
[tex]x=\dfrac{-(-4)+\sqrt{(-4)^2-4\times 4\times 1}}{2(4)},\dfrac{-(-4)-\sqrt{(-4)^2-4\times 4\times 1}}{2(4)}\\\\x=0.5,0.5[/tex]
Hence, this is the required solution.
Factor -1.8 out of 3.6b-9
=================================================
Explanation:
Consider something like 2b+6 factoring to 2(b+3). When we distribute that outer 2 back inside the parenthesis, we're multiplying that 2 by everything inside. Factoring goes in reverse of this and we divide each term of 2b+6 by the GCF 2.
The same thing applies to this current problem as well.
Divide each term by the -1.8 we want to factor out.
(3.6b)/(-1.8) = -2b(-9)/(-1.8) = 5The results -2b and 5 will go inside the parenthesis. That's how we end up with -1.8(-2b+5)
You can use distribution to verify this
-1.8(-2b+5)
-1.8*(-2b) - 1.8*(5)
3.6b - 9
the diagram below shows a square inside a regular hexagon. The apothem of the hexagon is 18.11 units. To the nearest square unit, what is the area of the shaded region.
A. 1027 square units
B. 1087 square units
C. 862 square units
D. 1948 square units
the answer is 862sq units probably
help asap plsss ----------------------
Answer:
g(x) = |x-7|+4
Step-by-step explanation:
If we imagine trying to find the vertex of f(x) or the lowest part, we can always input x and y into each equation and see if they equal on either side.
The vertex is at points (7,4)
4=|7-7|+4 : 4=4.
solve for x -3x+2=-11 please
Answer:
6.5
Step-by-step explanation:
We need to solve out for x , the given Equation is ,
[tex]: \implies[/tex] x - 3x + 2 = -11
[tex]: \implies[/tex] -2x = -11 -2
[tex]: \implies[/tex] -2x = -13
[tex]: \implies[/tex] x = -13/-2
[tex]: \implies[/tex] x = 6.5
Answer:
x = 6.5
Step-by-step explanation:
[tex]x - 3x + 2 = - 11 \\ - 2x + 2 = - 11 \\ - 2x = - 11 - 2 \\ \frac{ - 2x}{ - 2} = \frac{ - 13}{ - 2} \\ x = + 6.5 [/tex]
He
Find the volume of this cylinder. Use 3 for pi
V = ?
Answer:
30in^3
Step-by-step explanation:
3x1^2x10=
3x1x10=
30
30in^3
Answer:
30 in^3
Step-by-step explanation:
The formula given for the volume of a cone is:
V = πr^2h
The formula needs the radius, but the picture just shows a diameter.
We know that the radius is always twice the diameter so:
Diameter: 2 in
2 ÷ 2 = 1
So the radius is 1 inch
Use the formula to determine the volume:
πr^2h
= 3(1^2)(10)
= 3(1)(10)
= (3)(10)
= 30
Hope this helps
Please help me with this... will give brainliest
Answer:
94 cm^2
Hope it helps!
what is the measure of 6 ?
Answer:
54°
Step-by-step explanation:
Here :-
13x + 9 + 5x + 9 = 1801 8x + 18= 180 18x = 162x = 9Measure of 6 :-
6 = 5x + 9 6 = 5*9 +9 6 = 45 + 9 6 = 54°Answer:
m<6 = m<2 = 54º
Step-by-step explanation:
13x + 9 + 5x + 9 = 180
18x + 18 = 180
18x = 180 - 18
18x = 162
x = 162 / 18
x = 9
13x + 9
13(9) + 9
126
180 - 126
54
m<6 = m<2 = 54º
What is best buy £3.99 5kg or 3.2kg £2. 60?
Answer:
I would say 5 kg because you get more kg with a little bit more money added
instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.
Given: AAS
Answer:
QP ≈ HG
Common side between those angles are QP and HG
so, they should be congruent to prove AAS
Answered by GAUTHMATH
Solve: 4(x + 3) ≤ 44
x ≥ 16
x ≤ 16
x ≤ 8
x ≥ 8
Please help
Answer:
C
Step-by-step explanation:
[tex]4(x + 3) \leqslant 44 \\ \\ 4x + 12 \leqslant 44 \\ 4x \leqslant 44 - 12 \\ 4x \leqslant 32 \\ 4x \div 4 \leqslant 32 \div 4 \\ x \leqslant 8[/tex]
What is the word form of 1.604
Answer:
one point 4 inchs
Step-by-step explanation: yessuh
Answer:
one and six hundred four thousandths
what is 1/4 of the H.C.F of 24,16,48
Answer:
2
Step-by-step explanation:
What is 1/4 of the H.C.F of 24,16,48
Your answer
GIven data
24,16,48
let us find the HCF of the above numbers
24=2*2*2*3
16= 2*2*2*2
48=2*2*2*2*3
Hence the HCF is 2*2*2= 8
Let us find 1/4 of the HCF
=1/4*8= 2
Hence the final answer is 2
What is the difference between calculating the area and calculating the perimeter of a rectangle?
Answer:
For perimeter you add up the side lengths to get the perimeter but for area you multiply the length times width (L x W )to get area.
Step-by-step explanation:
f(x) = square root 32x
g(x) = square root 2x
Given:
The two functions are:
[tex]f(x)=\sqrt{32x}[/tex]
[tex]g(x)=\sqrt{2x}[/tex]
To find:
The [tex](f\cdot g)(x)[/tex]. Assume [tex]x\geq 0[/tex].
Solution:
We have,
[tex]f(x)=\sqrt{32x}[/tex]
[tex]g(x)=\sqrt{2x}[/tex]
Now,
[tex](f\cdot g)(x)=f(x)\cdot g(x)[/tex]
[tex](f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}[/tex]
[tex](f\cdot g)(x)=\sqrt{32x\times 2x}[/tex]
[tex](f\cdot g)(x)=\sqrt{64x^2}[/tex]
[tex](f\cdot g)(x)=8x[/tex]
Therefore, the correct option is A.
What is the volume of the figure below?
Answer:
[tex]896 \pi~m^3[/tex]
Step-by-step explanation:
[tex] V_{cylinder} = \pi r^2 h [/tex]
[tex] V_{cylinder} = \pi (8~m)^2 \times (14~m) [/tex]
[tex]V_{cylinder} = 896 \pi~m^3[/tex]
what are evidence that the himalayas mountains are still rising
Answer:
The Himalayas are still rising by more than 1 cm per year as India continues to move northwards into Asia, which explains the occurrence of shallow focus earthquakes in the region today. However the forces of weathering and erosion are lowering the Himalayas at about the same rate.
Step-by-step explanation:
we can tell that the himalayas are still rising because of the movement of india northwards into asia,so the more india moves to the north the more the himalayas rise by more than 1cm.
Round 7874 to the nearest 100
Answer:
7900 is the round off to the nearest hundred
Equation for the length of a rectangle is two more than three times the width area is 161
Answer:
l = 3w+2
l = 23
Step-by-step explanation:
The area of a rectangle is
A = lw where l is the length and w is the width
l = 3w+2
A = 161
161 = (3w+2) *w
Distribute
161 = 3w^2 +2w
Subtract 161 from each side
0=3w^2 +2w -161
Factor
0=(w-7)(3w+23)
Using the zero product property
w-7 =0 3w+23 =0
w=7 w = -23/3
Since the width cannot be negative
w=7
l = 3w+2
l = 3(7)+2
l = 21+2 = 23
Length = 3w + 2 = 23.
Step-by-step explanation:
Given :-
The length of a rectangle is two more than three times the width = ( 3w + 2 )Let width of rectangle be w.Area of rectangle = 161.Find :-
Length of rectangle .Solution :-
We know that ,
Area of rectangle = Length × Width.
Substitute the values161 = (3w + 2) × w
Distribute w .161 = 3w² + 2w
Move constant to the left-hand side and change their signs.0 = 3w² + 2w - 161
Split the middle term- 2w as 23w - 21w.0 = 3w² + 23w - 21w - 161.
Factor out w from first pair and -7 from second pair.0 = w ( 3w + 23 ) -7 ( 3w + 23)
Factor out 3w + 23.0 = (3w + 23 ) ( w - 7)
Using zero product property.w - 7 = 0 , 3w + 23 = 0
Solve for w.w = 7 , w = -23/3
Since, width of rectangle can't be negative.
so, w = 7 is right value of width.
Calculate for Length.
length = 3w + 2 ( plug the value of width)
length = 3 ( 7 ) + 2 Length = 21 + 2Hence, length = 23
Which expression is equivalent to −10x−10+2x+9?
Answer:
-8x - 1
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-10x - 10 + 2x + 9
Step 2: Simplify
Combine like terms (x): -8x - 10 + 9Combine like term: -8x - 1[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{-10x - 10 + 2x + 9}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{-10x + 2x - 10 + 9}[/tex]
[tex]\large\textsf{-10x + 2x}\\\\\large\textsf{ = \bf -8x}[/tex]
[tex]\large\textsf{-10 + 9}\\\\\large\textsf{ = \bf -1}[/tex]
[tex]\boxed{= \large\textsf{\bf -8x - 1}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -8x - 1 }}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
n a certain exam of grade ten, 75% students got high score in mathematics, 65%students got high score in English. If 6% of them did not get high score in both mathematics and English, then calculate: i. the percent of students who got high score in both the subjects. ii. the total number of students who got high score either in mathematics or in English if 300 students had attended the exam.
Answer:
thank you for the points
Step-by-step explanation:
Cosella is conducting an experiment where she assesses how quickly teenagers can run a 100-meter race after consuming specific amounts of caffeine. She divides her sample up into three groups. Group 1 receives a glass of water with no caffeine added. Group 2 receives a glass of water with an amount of caffeine equivalent to that in one cup of coffee. Group 3 receives a glass of water with an amount of caffeine equivalent to that in two cups of coffee. Each participant is then timed as they run the course. In this study, the dependent variable is
Answer:
The dependent variable is the time taken to run 100 metres
Step-by-step explanation:
A dependent variable is simply one that is being measured or sometimes tested in an experiment.
Now, in this case, what is being determined is the time each group of participants will take to run a 100-meter race.
Thus, the dependent variable is the time each group of participants will take to run a 100-meter race.
Solve for X.
-8(1 - 4x) = -104
Please show work
Answer:
-3
Step-by-step explanation:
-8(1-4x)=-104
1-4x=-104/-8
1-4x=13
4x=1-13
4x=-12
x=-12/4
x=-3
Help please guysss will mark as brainliest!
As x increases by 1 unit, what is the exponential growth factor??
Given:
The graph of an exponential function.
To find:
The exponential growth factor as x increases by 1 unit.
Solution:
From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth factor.
Putting [tex]x=1,y=1[/tex] in (i), we get
[tex]1=ab^1[/tex] ...(ii)
Putting [tex]x=3,y=9[/tex] in (i), we get
[tex]9=ab^3[/tex] ...(iii)
Divide (iii) by (ii).
[tex]\dfrac{9}{1}=\dfrac{ab^3}{ab}[/tex]
[tex]9=b^2[/tex]
[tex]3=b[/tex]
b is the the growth factor and the value of b is 3.
Therefore, the exponential growth factor is 3 as x increases by 1 unit.
Answer:
exponential growth factor is 3
Step-by-step explanation:
Plss answer the bottom question
Answer:
200
Step-by-step explanation:
250/100=2.5
2.5*80=200
So the answer is 200
