Step-by-step explanation:
Given: √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
Asked: Find the value of x = ?
Solution: Given that √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
⇛√{1 + (2/3)} = (0.6)²⁻³ˣ
⇛√{(1/1) + (2/3) = (0.6)²⁻³ˣ
⇛√{(1*3 + 2*1)/3} = (0.6)²⁻³ˣ
⇛√{(3 + 2)/3} = (0.6)²⁻³ˣ
⇛√(5/3) = (0.6)²⁻³ˣ
Squaring on both sides then
⇛{√(5/3)}² = {(0.6)²⁻³ˣ}²
⇛√(5²/3²) = {0.6}(²⁻³ˣ)²
⇛√{(5*5)/(3*3)} = {0.6}(²⁻³ˣ)²
⇛5/3 = {0.6}(²⁻³ˣ)²
[[tex]\mathsf{\because}[/tex] (aᵐ)ⁿ = aᵐⁿ]
⇛5/3 = (0.6)²*²⁻³ˣ*²
⇛5/3 = (0.6)⁴⁻⁶ˣ
⇛5/3 = (6/10)⁴⁻⁶ˣ
⇛5/3 = {(6÷2)/(10÷2)})⁴⁻⁶ˣ
⇛5/3 = (3/5)⁴⁻⁶ˣ
⇛(3/5))⁻¹ = (3/5)⁴⁻⁶ˣ
[[tex]\mathsf{\because}[/tex] a⁻ⁿ = 1/aⁿ]
Base are the same, so the exponents must be equal.
[tex]\mathsf{\therefore}[/tex] -1 = 4 - 6x
Shift the number 4 from RHS to LHS, changing it's sign.
⇛-1 - 4 = -6x
⇛-5 = -6x
⇛x = {(-5)/(-6)}
[tex]\mathsf{\therefore}[/tex] x = 5/6
Answer: Hence, the value of x for the given problem is 5/6.
also read similar questions: (1/3)^-2 + (1/4)^-2 = (125)^x Find the value of x? https://brainly.com/question/25746379?referrer
(3^-2 × 4^-2)^-3 = 12^x In the given expression find the value of x. https://brainly.com/question/25746273?referrer
Please help! My teacher says if I don’t get at LEAST an 80 she’ll fail me-
Answer:
5/6, or about 0.833
Step-by-step explanation:
For student 7, the tack landed point up 5 times out of 6. So for student 7, the experimental probability that the tack lands point up is 5/6, or about 0.833.
WILL GIVE BRAINLIEST Can someone please help me with this and explain???!:))) thank you:))))
Answer:
See below ↓
Step-by-step explanation:
Part A
One revolution = circumference= πd= 22/7 x 56= 22 x 8= 176 feetPart B
Entire ride = 15 x 1 revolution= 15 x 176= 2640 feet1. How are solutions, x-intercepts, zeros, and roots of quadratic equations related?
2. What mehods can be used to solve quadratic equations?
Answer: The roots are the x-intercepts! They are the values of x that make the quadratic equal to 0.
2. There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.
Step-by-step explanation:
Answer:
when the quadratic equation is equal to zero (= 0), the x-coordinates of the intercepts are the solutions aka roots.factoring, using the quadratic formula, and completing the square.Step-by-step explanation:
hope this helps
A cone has a volume 8pie cubic inches. And 6in height
What is the radius of the cone?
inches
Answer:
r=1.3in
Step-by-step
hope this helps:)
please help!! it is due today and i will give 50 points
Answer:
E) 36 ft²
Step-by-step explanation:
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthThe shape is made up of 2 congruent triangles and 3 different rectangles.
Area of triangle = 1/2 x 3 x 4 = 6 ft²
Area of rectangle 1 = 2 x 4 = 8 ft²
Area of rectangle 2 = 2 x 3 = 6 ft²
To calculate the area of the 3rd triangle, we need to use Pythagoras' Theorem to determine the length of the hypotenuse of the right triangle.
a² + b² = c²
⇒ 3² + 4² = c²
⇒ 25 = c²
⇒ c = √(25)
⇒ c = 5 ft
Therefore, area of rectangle 3 = 2 x 5 = 10 ft²
Total Surface Area
Total SA = 2 triangles + rectangle 1 + rectangle 2 + rectangle 3
= (2 x 6) + 8 + 6 + 10
= 36 ft²
true or false and explain or show your reasoning
10-⁵=-10⁵
(10²)-³=(10²)³
10³/10¹⁴=10-¹¹
Answer:
a. False : because 10^-5= 1/10^5 where as -10^5=-1 × 10^5
therefore 1/10^5 not equal to -1×10^5
b. False : because (10^2)^-3 = 100^-3=1/100^3 where as (10^2)^3 = 100^3=1000000 there fore 1/100^3 not equal to 1000000
c. True : because 10^3/10^14=10^(3-14)=10^-11 therefore both left side and right side of the equation are equal
An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?
A.
4 : 9
B.
8 : 27
C.
9 : 4
D.
27 : 8
PLEASE HELPPPP!!!!!!
Answer:
i dont know
Step-by-step explanation:
try breaking it into smaller shapes
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers:
1) [tex]\sf \boxed{1} \ x^2 + \boxed{2} \ x -24[/tex]
2) [tex]\sf \boxed{2} \ x^2+ \boxed{-1} \ x-15[/tex]
3) [tex]\sf \boxed{6} \ x^2+\boxed{19} \ x+10[/tex]
4) [tex]\sf \boxed{2} \ x^2+\boxed{-11} \ x+5[/tex]
solving step wise:
1)
(x+6)(x-4)x² + 6(x) -4(x) -24x² + 2(x) - 242)
(2(x)+5)(x-3)2(x)² - 6(x)+5(x)-152(x)² - x - 153)
(3(x)+2)(2(x)+5)6(x)²+15(x)+4(x)+106(x)² + 19(x)+104)
(2(x)-1)(x-5)2(x)² -10(x)-x+52(x)² -11(x)+5#1
(x+6)(x-4)x(x-4)+6(x-4)x^2-4x+6x-24x^2+2x-24#2
(2x+5)(x-3)2x(x-3)+5(x-3)2x^2-6x+5x-152x^2-x-15#3
(3x+2)(2x+5)3x(2x+5)+2(2x+5)6x^2+15x+4x+106x^2+19x+10#4
(2x-1)(x-5)2x(x-5)-1(x-5)2x^2-10x-x+52x^2-11x+5please solve this i need help (5 stars to the correct ones) 73.6 ÷ 10
Answer:
0.736
Step-by-step explanation:
Answer:
7.36
Step-by-step explanation:
Calculator...
5x+3y-11
What’s the answer ?.
Answer:
x=3y/5 + 11/5
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable
x
PLEASE HELP. I need to create a roller coaster that consists of at least 4 different degree 3 and above polynomials.the polynomials must be connected to one another without any graphs. It has to be 5-6 minutes long. the start height must be at least 200 feet but no greater than 300 feet. the maximum height of the roller coaster must not be greater than 400 feet. The track must go into an under tunnel that is 20 feet or less at least once. the maximum depth of the tunnel must not be greater that 50 feet. No drop can be too steep. I will give 100 points
Answer:
add it all up
Step-by-step explanation:
Writing linear functions
Use the graph or table to write a linear function that relates y to x
Step-by-step explanation:
3. Slope is postive
x1=6
x2=3
y1=10
y2=6
m=6-10/3-6
m=4/3
y=mx+b find b
10=4/3*3+b
10=4+b
b=6
y=4/3x+b
4.slope is zero
y=b
Y=3
(PLEASE HELP ASAP!! 50 POINTS! question in the image)
Miranda is calculating her expected expenses for her week long trip to turkey. her flight costs 928 tl (turkish lira), her lodging costs 755 tl, and she has allowed 814 tl for food and spending money. what is miranda’s total? a. 4,762 tl b. 2,497 tl c. 869 tl d. 641 tl
The addition is the process of adding two numbers and the result is the combined value of the two numbers. Miranda's total will be equal to 2497 Turkish lira.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
The total cost will involve the cost of Miranda's flight, her lodging costs, and the cost of food and other such spending. Therefore, her total is the sum of all of this expenses,
Miranda's Total
= cost of flight + lodging costs + cost of food and other spending
= 928 ti + 755 ti + 814 ti
= 2497 ti
Hence, Miranda's total will be equal to 2497 Turkish lira.
Learn more about Addition:
https://brainly.com/question/13167637
Answer: b. 2,497 TL
<3
is 69 less than a right angle
If angle ABC measures 122, what does angle ADC measure?
Answer:
61
Step-by-step explanation:
angle at centre equals twice that at circumference
Solve the system of equations using the elimination method.
8x + y = -16
3x - y = 5
Answer:
X=-1
Y=-8
Step-by-step explanation:
8x+y=-16
3x-y=5
11x=-11
x=-1
8x+y=-16
8(-1)+y=-16
-8+y=-16
y=-16+8
y=-8
Or3x-y=5
3(-1)-y=5
-3-y=5
-y=5+3
-y=8
y=-8
f(x) if f(x-2)=2-x
RSM IS KILLING ME HERE
also there's some more like this but if ik how to do this i might be able to figure those out
thanks!
Answer:
[tex]f(x)=-x[/tex]
Step-by-step explanation:
[tex]f(x-2)=2-x[/tex]
To change [tex]f(x - 2)[/tex] into [tex]f(x)[/tex], substitute [tex]x=x+2[/tex]:
[tex]\implies f((x+2)-2)=f(x+2-2)=f(x)[/tex]
Therefore, substitute [tex]x=x+2[/tex] into both sides of [tex]f(x-2)=2-x[/tex]:
[tex]\implies f((x+2)-2)=2-(x+2)[/tex]
[tex]\implies f(x)=-x[/tex]
Let's spot out.
f(x-2)=2-xPut x+2 in place of x
f(x+2-2)=2-(x+2)f(x)=2-x-2f(x)=-xI need help making a proof for geometry! Here is the question I really need help on this question my marking period ends soon!
There are 2 parts I have to make a proof and then I also have to find the measures of AB and AC!
Answer:
Step-by-step explanation:
Please help! will give brainlest!
cscθ is the same as 1/sinθ
Explanation:
csc stands for cosec which is equivalent to 1/sinθ
The expression is thus equal to 1/[sin(4π/3)]
Since we know by consulting the unit circle that sin(4π/3) = - [(√3)/2]
we get the expression 1/[sin(4π/3)] = 1/(-√3/2)
which can be simplified to 1/(-√3/2) = 2/(-√3) = (-2√3)/3
Kate and Isaac share 495 sweets.
Kate gets 20% more sweets than Isaac
How many sweets does Isaac get?
Answer:
I believe it is 149Step-by-step explanation:
What is the circumference of a circle whose radius is 20 feet. Leave awnser in terms of pi
Answer:
40π
Step-by-step explanation:
cricumference: 2πr (or πd)
2π(20) = (40)π ≈ 125.66
Answer: 40
Step-by-step explanation:
First, you have to multiply the radius by 2 which gives us 40. Then, 40 x 3.14 (pi) = 125.6 After, you divide 125.6 by 3.14 which once again gives you 40. :)
QUICK please help meeee.
Answer: A. Obstacle
Step-by-step explanation: They have the same meaning.
Δ MAL and Δ DLA are right triangles. If Δ MAL ≅ ΔDLA, then side DL is congruent to side MA, and ∠ MAL is congruent to ∠ DLA. Given ∠ M is 30 °, side DL is (2x + 10) cm, side MA is (3x – 2) cm, and side AL is (x + 5) cm, answer the following questions below:
What is the measurement of DL?
What is the measurement of AL?
What is the measurement of ∠ DLA?
What is the measurement of ∠ AEL?
Answer:
DL = 34 cm
AL = 17 cm
∠DLA = 60°
∠ADL = 30°
Step-by-step explanation:
Given:
DL = (2x + 10) cmMA = (3x - 2) cmDL ≅ MA
⇒ 2x + 10 = 3x - 2
⇒ 2x + 12 = 3x
⇒ 12 = x
Substituting found value of x into expressions for DL and AL:
DL = 2x + 10
= 2(12) + 10
= 34 cm
AL = x + 5
= 12 + 5
= 17 cm
The only way for ΔMAL to be a right triangle, with MA = 34 cm, AL = 17 cm and ∠M = 30° is if
MA is the hypotenuseAL is the shortest sideGiven:
∠M = ∠D = 30°∠MAL ≅ ∠DLASum of interior angles of a triangle is 180°
⇒ ∠DLA + 30° + 90° = 180°
⇒ ∠DLA + 120° = 180°
⇒ ∠DLA = 60°
As ∠M = ∠D = 30°, then ∠ADL = 30°
Answer:
DL = 34 cmAL = 17 cm∠DLA = 60°∠ADL = 30°Step-by-step explanation:
Given:
DL = (2x + 10) cmMA = (3x - 2) cmDL ≅ MAEquating DL and MA :
⇒ 2x + 10 = 3x - 2
⇒ 2x + 12 = 3x
⇒ x = 12
Finding DL and AL :
DL = 2(12) + 10 = 24 + 10 = 34 cmAL = 12 + 5 = 17 cmFinding ∠DLA :
∠M = ∠D = 30° (corresponding parts of congruent triangles)∠DLA + ∠D + 90° = 180°∠DLA + 30° = 90°∠DLA = 60°Finding ∠ADL :
∠ADL = ∠D∠ADL = 30°What is the general equation of a cosine function with an amplitude of 3, a period of 4 pi, and a horizontal shift of negative pi? y = 4 pi cosine (3 (x minus pi)) y = 3 cosine (4 pi (x pi)) y = 3 cosine (0.5 (x pi)) y = 4 pi cosine (0.2 (x pi))
The general equation of a cosine function with an amplitude of 3, a period of 4 π, and a horizontal shift of negative π is [tex]f(x) =3cos(0.5x+\pi )[/tex].
What is a function?A function is a rule that relates two variables.
The parent function is:
[tex]f(x)=cosx[/tex]
We know the period of the parent function is 2π and the amplitude is 1.
For an amplitude of 3, we need to multiply the parent function by 3.
So, the function with amplitude 3 will be given by:
[tex]f(x) =3cosx[/tex]
For a period of 4π, we need to make the argument of the parent function half.
So, [tex]f(x) = 3cos(0.5x)[/tex]
A horizontal shift of negative π means, f(x) will become f(x+π)
So, [tex]f(x) =3cos(0.5x+\pi )[/tex].
Therefore, the general equation of a cosine function with an amplitude of 3, a period of 4 π, and a horizontal shift of negative π is [tex]f(x) =3cos(0.5x+\pi )[/tex].
To get more about function visit:
https://brainly.com/question/17043948
Answer:
Option C. y + 3cos (0.5(x+ pi))
:)
There are exactly 4 parts to this question so if u can please answer thanks
Part A
Dilate Triangle OPQ with a scale factor of 1/2.
Provide the coordinates of each new vertex.
Part B
How does the size Triangle O'P'Q' compare to the size of Triangle OPQ?
Explain how this relates to the scale factor.
Part C
Are
Part D
If the length of segment OQ measures 9.8 units, what is the length of segment O'Q'? Explain in terms of similarity.
Answer:
see my question and come there now I want to talk with you
Step-by-step explanation:
Goal: illustrates radius, diameter, chord, center, arc, central angle, and
inscribed angle.
Role: Garden Designer/Landscape Architect
Audience: Math Teacher
Situation: A certified plantita and backyard owner plans to have a unique
garden. As a Landscape Architect, you are asked to make a sample layout of
a circular garden. She asks you to include the following on her garden:
● well
● pond
● bridge
● fountain
● walkways
● benches or chairs
● entrance and exit gates.
● trees, ornamental plants, and herbs
Procedure:
1. Draw a circle.
2. Conceptualize a circular garden and layout using the specified
items mentioned above.
What I Can Do
9
DISCIPLINE • GOOD TASTE • EXCELLENCE
3. Label the parts of circle formed on the garden layout
Please I'm looking for a serious answer. I need to pass this on monday. Thank you.
During which time period was the ANNUAL rate of increase of the speed the GREATEST
Answer:
1-2
Step-by-step explanation: because it went up in speed by 8 and the rest went up not even to 7
Based on the table, we can deduce that the annual rate of increase of the speed was the greatest: A. from year 1 to year 2.
What is speed?Speed can be defined as the distance covered by an object per unit of time. Thus, speed can be measured as meter per seconds.
Mathematically, speed is given by this formula;
[tex]Speed = \frac{distance}{time}[/tex]
Based on the table, we can deduce that the annual rate of increase of the speed was the greatest from year 1 to year 2.
Rate = 46 - 38 = 8.
Read more on speed here: brainly.com/question/10545161
Rotate shape A 90° clockwise with centre of rotation (0,0).
What are the coordinates of the vertices of the image?
Answer:
(2,4)====(-4,2)
(4,3)===(-3,4)
(2,3)====(-3,2)
Solve for the value of n
Answer:
8
Step-by-step explanation:
Vertical angles are congruent, so 9n=8n+8. It follows that n=8.