Answer:
40 L
Step-by-step explanation:
20% empty is the same as 80%full
.8f = .2f + 24
subtract .2f from both sides
.6f = 24
divide both sides by .6
f = 40
the value of ( 7 + 4root 3) ( 7 - 4 root 3) is
Answer:
Step-by-step explanation:
(a + b)(a - b) = a² - b²
[tex](7 + 4\sqrt{3}) (7 - 4\sqrt{3}) = 7^{2}-(4\sqrt{3} )^{2}\\\\ = 49 - 4^{2}*(\sqrt{3})^{2}\\\\= 49 - 16 * 3\\\\= 49 - 48\\\\= 1[/tex]
[tex]\boxed{1}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](7 + 4 \sqrt{3} ) \: (7 - 4 \sqrt{3} ) \\ \\ = 7 \: (7 - 4 \sqrt{3} ) + 4 \sqrt{3} (7 - 4 \sqrt{3} ) \\ \\ = 49 - 28 \sqrt{3} + 28 \sqrt{3} - 48 \: (since \: \sqrt{3} \times \sqrt{3} = 3)\\ \\ = 49 - 48 \\ \\ = 1[/tex]
You can also use the identity:
( a + b ) ( a - b ) = [tex] {a}^{2} - {b}^{2}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
pls help me on this i don't know what to do
Answer:
[tex]\text{A. The zeroes are 8 and -4, because }y=(x-8)(x+4)[/tex]
Step-by-step explanation:
[tex]x^2-4x-32=0,\\(x-8)(x+4)=0,\\\begin{cases}x-8=0, x=\boxed{8},\\x+4=0, x=\boxed{-4}\end{cases}[/tex]
f(x)=5x−3, find f(2)f(2)
Answer:
f(2)f(2) = 49
Step-by-step explanation:
Note that f(2)f(2) is the same as [f(2)]^2.
If f(x) = 5x - 3, then f(2) = 5(2) - 3, or f(2) = 7, and so:
f(2)f(2) = [f(2)]^2 = 7^2 = 49
Thus, f(2)f(2) = 49
Plz answer this question
Answer:
3,16,729
Step-by-step explanation:
Kelvin made 12 blueberry muffins for the bake sale he puts 6 muffins in the box how boxes does kelvin math
Answer:
2 your welcome and I play overwatch
a lines y-intercept is -4, and it's slope is 2. what is its equation in slope-intercept form?
Answer:
2x-4
Step-by-step explanation:
2x-4
mx+b format
A plant costs p dollars and a bush costs b dollars. Ana buys 2 plants and 4 bushes for $42. Paola buys 7 plants and 9 bushes for $107. Write down a pair of simultaneous equations and solve them to find out the value of p and the value of b.
Answer:
p = 5 and b = 8
Step-by-step explanation:
First, create a system of equations:
2p + 4b = 42
7p + 9b = 107
Solve by elimination by multiplying the top equation by -7 and the bottom equation by 2:
-14p - 28b = -294
14p + 18b = 214
Add these together, and solve for b:
-10b = -80
b = 8
Plug in 8 as b into one of the equations, and solve for p:
2p + 4b = 42
2p + 4(8) = 42
2p + 32 = 42
2p = 10
p = 5
So, p = 5 and b = 8
Answer:
p = 5 and b =8
Step-by-step explanation:
2p + 4b = 42
2p = 42 - 4b
p = 21 - 2b
7p + 9b = 107
7 (21 - 2b) + 9b = 107
147 - 14b + 9b = 107
147 - 5b = 107
-5b = -40
b = 8
2p + 4 * 8 = 42
2p + 32 = 42
2p = 10
p = 5
If f (n)= - 3n + 2, what is the value of f(12) ?
Answer:
Step-by-step explanation:
f(n)= -3n + 2
to find :f(12)
substitute 12 in place of n
f(12)= -3*12 + 2
f(12)=-36 + 2
f(12)= -34
The value of the f(12) is equal to -46 where the expression is
f(n) = -3n + 2.
What is an expression?Any mathematical statement which consist of numbers , variables and arithmetic operations is known as expression. An expression gives some numerical value when we put the value of variables in it.
Here, f(n)= -3n + 2 is the given expression.
So, we can find the value of f(12) by putting n=12 in f(n).
Put n=12 in f(n), we get
f(12)= (-3)×12 + 2
= -48 + 2
= -46
Hence, the value of f(12) is -46.
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Can someone help me out with these few problems 1,3,4,6,7,10,12,15
Please only reply back if you really are trying to help me please no spam
I would really appreciate it
Answer:
Step-by-step explanation:
1) the complete squares of the picture are 12, if we unite the other we can reach 15 squares circa
15 * 50 = 750 square units
3) Area = base x height = 12 * 9 = 108 cm^2
4) Area = (base x height)/2 = (24 * 16)/2 = 192 in^2
6) Area of the square = side ^ 2 = 12^2 = 144 cm^2
height of the triangle = 20 - 12 = 8 cm
Area of the triangle = (base x height)/2 = (12 * 8)/2 = 48 cm^2
Total area = 144 + 48 = 192 cm^2
7) radius = diameter / 2 = 20 : 2 = 10 cm
circumference = radius * 2 * pi = 20 * pi = 62.8 cm
area = radius^2 * pi = 100 * pi = 314.2 cm^2
10) √25 = 5
we have to find a positive number that multiply by itself gives 25
12) √100 = 10
we have to find a positive number that multiply by itself gives 100
15) √64 = 8
we have to find a positive number that multiply by itself gives 64
a, I see, you split the workload :D
this answer is just a greeting,making you able to choose a brainliest.
if someone leaves a greeting in the other topic, it works there to. :D
if p = q and q = r then p = r
What statements is this?
A. Inverse statement
B.Contrapositive Statement
C.A syllogism
D.Converse statement.
Answer:
Syllogism, or C.
Kate is making hamburgers for her friends and has pounds of hamburger. How many -pound hamburgers can she make?
Answer:
25 hamburgers
Step-by-step explanation:
Kate is making hamburgers for her friends and has 8 1/3 pounds of hamburger. How many 1/3-pound hamburgers can she make
Solution:
Given that Kate has 8 1/3 pounds of hamburger and she wants to make various hamburgers of 1/3 pound each. To determine the number of hamburgers she can make, we just have to divide the pounds of hamburger (8 1/3 pounds) by the 1/3 pounds.
8 1/3 pounds = [(8*3) + 1] / 3 = (24 + 1) / 3 = 25/3 pounds of hamburger
Therefore:
Number of hamburgers she can make = (25/3 pounds) / (1/3 pound) = 25 hamburgers
is x^(-3/7) equivalent to 7th root of (1/(x^3))
Answer:
Yes
Step-by-step explanation:
x^(-3/7) = 7th root of x^(-3) = 7th root of (1/x^3)
The isosceles triangle and the rectangle have equal perimeters. The triangle has x+5 on the left side. On its base it has x. The rectangle has x-1 on the left side. On the bottom, it has x+4.
Answer:
The value of x is 4.
Step-by-step explanation:
The perimeter of the triangle is the sum of the lengths of all its sides.
The perimeter of the rectangle is twice the sum of the length and the width.
base of triangle = x
two equal sides = x + 5
length of rectangle = x - 1
width of rectangle = x + 4
According to the question,
Perimeter of triangle = perimeter of rectangle
x + x + 5 + x + 5 = 2 ( x - 1 + x + 4)
3 x + 10 = 2 (2 x + 3 )
3 x + 10 = 4 x + 6
4 x - 3 x = 10 - 6
x = 4
The points (6, 9) and (8, 11) fall on a particular line. What is its equation in slope-intercept form?
Answer: y = 1x + 3
Step-by-step explanation:
If you plot it, you see the slope is 1/1, and the y-intercept is at (0, 3).
Which equation represents a line with a slope of 13 and a y-intercept of -1?
Answer:
y = 13x - 1
Step-by-step explanation:
y = 13 x - 1
Slope y intercept
Answer:
y = 13x -1
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 13x -1
These tables of values represent continuous functions. In which table do the values represent an exponential function?
It's A.
The value is increasing threefold relative to the previous step.
all other function values increase by a fixed amount and are therefore linear
13. If you have ₹ (100 3 ‒ 5x + 3) in your wallet, you got a gift of ₹ (10 3 + 3x) and you spent ₹ (80 3 ‒ 2 2 +9) in buying food, how much money is left in your pocket?
Answer:
10x³+2x²-8x-6
Step-by-step explanation:
Total amount = ₹ (100x³ ‒ 5x + 3)
Amont spent in gift = ₹ (10x³ + 3x)
Amount spent in buying food = ₹ (80x³ ‒ 2x² +9)
Left amount = Total amount - (Amount spent in gift+Amount spent in buying food)
= (100x³ ‒ 5x + 3)- [(10x³ + 3x)+(80x³ ‒ 2x² +9)]
= (100x³ ‒ 5x + 3)-(10x³ +3x+80x³ ‒ 2x² +9)
= 100x³ ‒ 5x + 3-10x³-3x-80x³ +2x²-9
= 10x³+2x²-8x-6
Hence, this is the required solution.
Help us appreciated:)
hey, another math question
Answer:
Step-by-step explanation:
By adjacent interior angles theorem,
If a transversal line 'r' intersects two parallel lines 'm' and 'n' then the consecutive interior angles are supplementary.
a° + (3x - 18)° = 180°
a° = 180° - (3x - 18)°
By vertical angles theorem,
If two straight lines intersect each other at a point, opposite angles formed are equal in measure.
180° - (3x - 18)° = (5x - 10)°
(5x - 10) + (3x - 18) = 180
(5x + 3x) - (10 + 18) = 180
8x - 28 = 180
8x = 180 + 28
8x = 208
x = 26
Which of the following is equivalent to 0.000001?
Answer please best answer=brainliest
Answer:
Part A
median: 7, third quartile: 15, first quartile: 3, units: years
Part B
image doesn't show whole question
Step-by-step explanation:
2,2,4,7,7,14,16,18
2,2,4,(7\/7),14,16,18
2,2\/4,7\/7,14\/16,18
hii guys I'm sorry I am close to failin, and I sorry tay I'm asking a lot for questions :c
Answer:
A≈87.96
Step-by-step explanation:
A=2πrh+2πr2
= 2pi(2)(5) + 2pi(2)2
Answer:
Hello! answer: 87.92
Step-by-step explanation:
Im a little rusty on these but the answer I believe would be 87.92
2 × 2 × 3.14 = 12.56
2 × 2 × 3.14 = 12.56
4 × 3.14 = 12.56 12.56 × 5 = 62.8
12.56 + 12.56 + 62.8 = 87.92
Hope that helps!
find all solutions of sin (x) = sec (x)
The solution is Option A.
The solutions of the trigonometric equation sin (x) = sec (x) is none because the range of sine is −1 ≤ y ≤ 1. Since 2 does not fall in this range, there is no solution
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric equation be represented as A
Now , the value of A is
sin ( x ) = sec ( x ) be equation (1)
On simplifying the equation , we get
sin ( x ) = 1 / cos ( x )
Multiply by cos ( x ) on both sides of the equation , we get
sin ( x ) cos ( x ) = 1
Now , the value of the trigonometric equation sin ( 2x ) = 2sin ( x ) cos ( x )
So , Substituting the values in the equation , we get
2sin ( x ) cos ( x ) / 2 = 1
sin ( 2x ) / 2 = 1
Multiply by 2 on both sides of the equation , we get
sin ( 2x ) = 2
Now , The range of sine is −1 ≤ y ≤ 1
So , there is no solution for the equation
Hence , the solution to the trigonometric equation is none
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(15 points)Please help out if you can!
Answer:
The maximum is -3
Step-by-step explanation:
A parabola that opens down (- in front), the vertex represents the highest point on the graph, or the maximum value.
The vertex of the equation is (-7,-3)
So, the maximum y value is -3
Without doing any calculations, determine the missing number that will make the value of Expression B half the value of Expression A. A (8 + 54 + 91) × 12 B (8 + 54 + 91) × _____ Enter your answer in the box.
Answer:
6
Step-by-step explanation:
12÷2=6
Hope this helps! :)
Write an expression for the phrase.
The product of n and negative 3
Write as many expressions as you can that have the same value as 10 to the 6 power. Focus on using
exponents and multiplication.
1,000,000
100 * 100 * 100
100^3
1,000^2
10,000 * 100
10^4 * 10^2
10^3* 10^3
10^5 * 10
1,000 * 1,000
100,000 * 10
400,000 * 2.5
500,000 * 2
250,000 * 4
200,000 * 5
10 * 10 * 10 * 10 * 10 * 10
10^3 * 10 * 10^2
10^4 * 10 * 10
10^7 / 10
10^10 / 10^4
I DON'T WANT TO WRITE MORE
The solution is: the expressions as we can that have the same value as 10 to the 6 power , using exponents and multiplication are given below.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
10 to the 6 power
i.e. 10^6
now, using exponents and multiplication the expressions as we can that have the same value as 10 to the 6 power are:
1,000,000100 * 100 * 100100^31,000^210,000 * 10010^4 * 10^210^3* 10^310^5 * 101,000 * 1,000100,000 * 10400,000 * 2.5500,000 * 2250,000 * 4200,000 * 510 * 10 * 10 * 10 * 10 * 1010^3 * 10 * 10^210^4 * 10 * 1010^7 / 1010^10 / 10^4To learn more on multiplication click:
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-3 + 4x = 25
help mee
Answer:
are u solving for x if so then
x=7
Step-by-step explanation:
hope this helps ...brainliest please!
Use the function h(t) = -167 + C, where
t is the number of seconds and c is the
height of the bridge. How high above the
ground is a ball that was dropped off a
260-foot-high bridge after 2 seconds?
A O feet
B 64 feet
C 196 feet
Answer:
Ball distance from ground = 74 feet
Step-by-step explanation:
Given function;'
h(t) = -167(t) + C
t = number of seconds
c = height of the bridge
Find:
Ball distance from ground
If,
c = 260-foot-high bridge
t = 2 seconds
Computation:
h(t) = -167(t) + C
h(2) = -167(2) + 260
h(2) = -334 + 260
h(2) = -74
Ball distance from ground = 74 feet
3
The school that Willie goes to is selling tickets to the annual talent show. On the first day of
ticket sales the school sold 12 senior citizen tickets and 5 child tickets for a total of $102. The
school took in $156 on the second day by selling 14 senior citizen tickets and 12 child tickets.
Find the price of a senior citizen ticket.
A $6
B $7
C$10
D $4
Answer: A $6
Step-by-step explanation:
Let x = price per child ticket, y= price per senior ticket.
As per given, we have
5x+12y=102 (i)
12x+14y=156 (ii)
From (i), we have
[tex]x=\dfrac{102-12y}{5}[/tex] (iii)
Put value of x in (ii), we get
[tex]12(\dfrac{102-12y}{5})+14y=156\\\\\\ \dfrac{1224-74y}{5}=156\\\\\\1224-74y=5\times156\\\\\\ 1224-74y=780\\\\\\ 74y=1224-780\\\\\\ 74y=444\\\\ y=\dfrac{444}{74}\\\\\\ y=6[/tex]
Hence, the price of senior ticket = $6
Thus the correct option is A.