8 = 2³ and 32 = 2⁵, so
√(8) = √(2²•2) = 2√(2)
√(32) = √(2⁴•2) = 2²√(2) = 4√(2)
Then
1/√(2) + 3/√(8) + 6/√(32)
= 1/√(2) + 3/(2√(2)) + 6/(4√(2))
= 4/(4√(2)) + 6/(4√(2)) + 6/(4√(2))
= 16/(4√(2))
= 4/√(2)
Optional step: Rationalize the denominator by multiply this by √(2)/√(2) to get
4/√(2) • √(2)/√(2) = (4√(2))/2 = 2√(2)
which you can also write as √(8).
BRAINIST & 20 POINTS!!!!!
Answer:
given
x=
Step-by-step explanation:
2x-3y=24
2×(-3)-3×(-7)
-6-21
27
Answer:ty
Step-by-step explanation:
A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 704t. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit. (2 points)
H(t) = -16t^2 +704t = -16(t^2 -44t)
Putting in vertex form: -16(t^2 -44t +484) + 704
h(t) = -16(t-22)^2 + 704
It takes 22 seconds to reach the maximum height, which is the vertex of the parabola at (22,704)
please mark me as the BRAINLIEST.....
Answer:
22 secondsStep-by-step explanation:
Given function:
h(t) = -16t² + 704tMaximum value is obtained at vertex. Using vertex formula to find the value of t at maximum height: x = -b/2a of a quadratic formula ax² + bx + c
t = -704/(-16*2) = 22Jonathan is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months. Write an equation for C,C, in terms of t,t, representing the total cost of the gym membership over tt months.
Answer:
C(t) = 25+34.37t
Step-by-step explanation:
It is given that,
The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months.
We need to write an equation for C in terms of t representing the total cost of the gym membership over t months.
At t=0, Jonathan pays $25 as joining fee.
Equation will be :
C(t) = Co+kt
Initially, Co = 25
C(t) = 25
At t = 8,
C(8) = 25 + k(8) = 300
8k = 275
k = 34.37
⇒ C(t) = 25+34.37t
Hence, this is the required equation.
solve the following quadratic equation by using formula method.√2x² + 4x + 2√2 = 0
Answer:
(3+2)+(4+2)
Step-by-step explanation:
234
Diego and Lin are drinking milkshakes. Lin starts with 12 ounces and drinks 1 ounce per second. Diego starts with 20 ounces and drinks 2 ounces per second.
Question 1 (1 point)
How long will it take Lin and Diego to finish their milkshakes?
Answer: Lin will take 12 seconds, while Diego will take 10 seconds.
Step-by-step explanation;
Lin starts with 12 ounces and drinks one ounce per second, it will take him 12 seconds to finish the drink. Diego starts with 20 ounces and drinks two per second, so it will 10 seconds to finish the drink.
Find the slope and
y-intercept of the following then write it in slope intercept form.
slope is 4,
y-intercept is -6
Thank you!
The temperature dropped 3 °F every hour for6 hours. How much did the temperature drop in all?
Answer:
18 degrees
Step-by-step explanation:
it drops 3 degrees every hour for 6 hours, then the equation would be 3 times 6 and that is 18, PLEASE MARK BRAINLIEST
A baseball ticket costs $75, but they are having a
promotional game night and all tickets are 35% off. What is
the new price of the ticket?
Is 74.65 correct
A museumcharges forgeneraladmission and exhibitions. Admission and 3 exhibitionscosts $45. Admission and 5 exhibitionscosts $65. What is the price of admission (initial value)
a. 15
b. 5
c. 8
d. 3
Answer:
a
Step-by-step explanation:
I guessed
I need help with 3x-2y=24
Answer:
y= 3/2x -12
Step-by-step explanation:
subract x then u got -2y=-3x+24
divide everythang by -2
then u got y=3/2x -12
The diagonals of rhombus ABCD intersect at E. Given that m∠CAD=20° and CE=4, find the m∠BCA.
Answer:
BCA = 20 degrees
Step-by-step explanation:
A rhombus is an equilateral quadrilateral, with all four of its sides having the same length. In addition to that, one important geometric property that will really help us with this problem is the fact that the opposite sides of a rhombus are parallel.
This means that BC ||AD.
Consequently, because BC ||AD,
m∠CAD = m∠BCA.
This is because they are alternate angles.
The alternate angle equality can be used in geometrical problems where you detect two parallel lines cut across by a transversal. in this, our case, the parallel lines BC and AD were transversed by AC.
This makes m∠CAD = m∠BCA because they are alternate angles)
Help please
I’ll mark brainlist!
Answer:
Answer is (a)
Step-by-step explanation:
Hope it's answer you plz Mark as Brainlist
6x + 15 = 9x
Pls help me get the answer for x
Answer:
Step-by-step explanation:
X=5
The perimeter of a rectangular garden is 46 feet. The length of the garden is 5 feet less than three times the width. Find the area of the garden. The area of the garden is square feet.
Answer:
A = 112 square feet
Step-by-step explanation:
The perimeter of a rectangular garden is 46 feet.
P = 2(l+b)
46=2(l+b)
23 = (l+b) ....(1)
Let length is l and breadth is b.
The length of the garden is 5 feet less than three times the width.
l = 3b-5 ...(2)
Put equation (2) in equation (1)
23 = (3b-5+b)
23 = 4b - 5
28 = 4b
b = 7 feet
Pu b = 7 in equation (2)
l = 3(7)-5
l = 16feet
Area of a rectangle is given by :
A = lb
A = 16 × 7
= 112 ft²
So, the area of the garden is 112 square feet.
What is the value of the expression
3x - (y/2 + 5)
When x=3.5 y=4
A 0.5
B 1.2
C 2.5
D 3.5
Answer:
D 3.5
Step-by-step explanation:
Replace values in the equation with values given. Calculate.
Answer:
D: 3.5
Step-by-step explanation:
If Ling ling has 2 eyes and wöng also has 2 eyes what is the value of X? (Total amount of eyes)
Answer:
X=4
Step-by-step explanation:
brainliest please
Answer:
0
Step-by-step explanation:
Because they're asian? is that the joke?
Tony walks 1/4 a mile in 1/5 of an hour. Determine
how many miles he is walking per hour.
Answer:
he is walking 4 miles per hour
Step-by-step expl
decrease 99kg by 5/11
Answer:
54
Step-by-step explanation:
First calculate 5/11 of 99
99 / 11 * 5 = 45
Then subtract your answer from 99
99 - 45 = 54
Please help, will reward brainliest !! (would help if someone can explain aswell)
Answer:
I think b or d
Step-by-step explanation:
Sorry if it's wrong but i think it's one of those two
Answer:
im not sure if i did this right but i got the answer of B if it is wrong i am so sorry :( i really hope i did not fail you
Step-by-step explanation:
At a wedding reception an equal number of guests were seated at each of three large tables, and 7 late arriving desks were seated at a smaller table. There were 37 guests in all. If n represents the number of guests seated at each of the large tables, what equation represents the situation?
Answer:
10 guests a table
Step-by-step explanation:
3 tables
7 late arrivals
37 total people
37 minus 7 is 30
30 divided by 3 is 10
answer is 10
hey guys im failing math can you guys help me?
Which system of inequalities is shown?
This week, Tori ate 600 g of cheerios cereal.
That was 150% as much cereal as she ate last
week. How much cereal did Tori eat last week?
600 g is 150% of what number?
Step-by-step explanation:
600=150%
?= 100%
crossmultiplication
=400
600g=150%x
600 is therefore 150% of 400
help me please thank you
Answer:
Number 1. Hope you can read that
Step-by-step explanation:
What is the area of rectangle VWXY?
Answer:
The area of the rectangle VWXY is 52 square units
Step-by-step explanation:
The formula of the area of the rectangle is A = L × W, where
L is the length of the rectangleW is the width of the rectangleIf a line segment has endpoints (x1, y) and (x2, y), then the line segment is horizontal and its length = x2 - x1If a line segment has endpoints (x, y1) and (x, y2), then the line segment is vertical and its length = y2 - y1From the given figure
∵ VWXY is a rectangle
∵ V = (3, -9) and W = (-1, -9)
∵ X = (-1, 4) and Y = (3, 4)
∵ Its length is WX or VY
∴ WX = VY
∵ Its width is VW or XY
∴ VW = XY
→ Let us find its length and its width
∵ Points W and X have the same x-coordinates
∴ y1 = -9 and y2 = 4
→ By using the 4th note above
∴ WX = 4 - -9 = 4 + 9 = 13
∴ L = 13 units
∵ Points X and Y have the same y-coordinates
∴ x1 = -1 and x2 = 3
→ By using the 3rd note above
∴ XY = 3 - -1 = 3 + 1 = 4
∴ W = 4 units
→ By using the formula of the area above
∵ A = 13 × 4
∴ A = 52 square units
∴ The area of the rectangle VWXY is 52 square units
Answer:
72
Step-by-step explanation:
In the accompanying diagram. altitude CD is
drawn to the hypotenuse of right triangle ABC. If
AD = 9 and AB = 13. find CD.
B
1
Someone please help me
Answer: √117
Step-by-step explanation:
Since no diagram present, am assuming hypotenuse AB and right angle C. Let side opp angle B be b, and side opposite angle A be a. Altitude CD is x.
a^2 + b^2 = 22^2 (Pythagorean)
Using Pythag on two smaller triangles,
x^2 + 13^2 = a^2
x^2 + 9^2 = b^2
Substituting in first equation,
x^2 + 13^2 + x^2 + 9^2 = 22^2
x^2 = 117, so x = √117
Item 5
During a camping trip, Tony hikes 1312mi in one day. He hikes 214mi each hour.
How many hours does it take Tony to complete his hike?
Divide.
2/3÷4/5
Plz help I’ll give brainliest
Find the slope of the line passing through the points (9,5) and (9,-4).
Answer:
Step-by-step explanation:
Equation in which to find the slope:
(slope) [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (9 , -4)\\(x_2 , y_2) = (9 , 5)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{5 - (-4)}{9 - 9}[/tex]
Simplify. First solve the numerator and denominators, then divide:
[tex]m = \frac{5 - (-4)}{ 9 - 9} \\m = \frac{5 + 4}{9 - 9} \\m = \frac{9}{0}[/tex]
Because a fraction cannot be out of 0, your answer will be .
help asap
short its an MCQ
If the diameter of 3 circles is in the ratio 4: 2: 1. The perimeter of the smallest circle is 8 cm. Then the area of
the shaded region is
Answer:
216[tex]\pi[/tex]
Step-by-step explanation:
Given the figure.
And the perimeter in the ratio 4: 2: 1.
Perimeter of smallest circle = [tex]8\pi[/tex]
To find:
Area of shaded region.
Solution:
To find the area, we need to have radius first.
And radius can be calculated by the given perimeter.
Formula for Perimeter is given as:
Perimeter = [tex]2\pi r[/tex]
[tex]8\pi = 2\pi r\\\Rightarrow r = 4\ cm[/tex]
Radius of smallest circle = 4 cm
Ratio of perimeter is equal to the ratio of the radii.
Radius of 2nd smallest circle by the given ratio = 8 cm
Radius of largest circle = 16 cm
Area of a circle is given the formula:
[tex]A = \pi r^2[/tex]
Area of the smallest circle = [tex]\pi 4^2 = 16\pi\ cm^2[/tex]
Area of the 2nd smallest circle = [tex]\pi 8^2 = 64\pi\ cm^2[/tex]
Area of the largest circle = [tex]\pi 16^2 = 256\pi\ cm^2[/tex]
Area of the shaded region = Area of largest circle + 2 [tex]\times[/tex] Area of 2nd smallest circle + 3 [tex]\times[/tex] Area of smallest circle - 2 [tex]\times[/tex] Area of smallest circle - 3 [tex]\times[/tex] Area of 2nd smallest circle
Area of the shaded region = Area of largest circle - Area of 2nd smallest circle + Area of smallest circle = [tex]256\pi - 64\pi +16\pi = 216\pi[/tex]
Evaluate k(4) for the function k(x)=18−2x
Answer:
k(4) = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
k(x) = 18 - 2x
k(4) is x = 4
Step 2: Evaluate
Substitute in x: k(4) = 18 - 2(4)Multiply: k(4) = 18 - 8Subtract: k(4) = 10