Answer:
Step-by-step explanation:
Combine like terms
[tex]2a + \frac{5b}{4}+3a + \frac{2b}{8}=2a + 3a +\frac{5b}{4}+\frac{2b}{8}\\\\ = 2a + 3a + \frac{5b}{4}+\frac{b}{4}\\\\= 5a + \frac{5b+b}{4}\\\\= 5a +\frac{6b}{4}\\\\= 5a + \frac{3b}{2}[/tex]
Answer:
[tex]2a+5\frac{b}{4}+3a+2\frac{b}{8}[/tex]
First multiply by 8
[tex]2\cdot8a+5\cdot8\cdot\frac{b}{4}+3\cdot8\cdot a+2\frac{b}{8}\cdot8[/tex]
We multiple and divide where we can
[tex]16a+10b+24a+2b[/tex]
And now it's simple
30a+12b
The circumference of a circle is 17pi ft. what is the area, in square feet?
Answer:
72.25 pi ft^2
Step-by-step explanation:
The circumference of a circle is
C = 2*pi*r
17 pi = 2*pi*r
Divide each side by 2pi
17 pi / 2pi = 2 pi r / 2pi
17/2 = r
We want to find the area
A = pi r^2
A = pi ( 17/2) ^2
A =289/4 pi ft^2
A = 72.25 pi ft^2
Decide!!!!!!!!!!!!!!!!!!!!!!!!!!!!
a + 1/b = 5
b + 1/c = 12
c + 1/a = 13
manipulating the first line by subtracting 1/b on both sides
a = 5 - 1/b
manipulating the 3rd line by subtracting 1/a on both sides.
c = 13 - 1/a
plugging a into this
c = 13 -1/(5 -1b)
c = 13 -5 +1/b
c= 8 + 1/b
plugging c into the 2nd line
b + 1/(8 +1/b) = 12
b + 1/8 + b = 12
2b + 1/8 = 12
devide both sides by two
b + 1/16 = 6
b = 11 + 15/16
plugging the value for b into the first line to get a
a + 1/(11 + 15/16) = 5
a + 1/11 + 16/15 = 5
a + 15/165 + 176/165 = 5
a + 191/165 = 5
a = 5 + 191/165
a = 1016/165
plugging b into the 2nd line to get c
11 + 15/16 + 1/c = 12
1/c = 1/16
multiply by c on both sides
1 = 1/16c
multiply by 16 on both sides
16 = c
Algebra 1 need help ASAP
Answer:
Step 1: 12-2a=3a-18
Step 2: 12-5a=-18
Step 3: -5a=-30
Step 4: a=6
I hope this helps!
pls ❤ and give brainliest pls
The vertex is 2,-4 what is the parabola equation
Answer:
y + 4 = (x - 2)^2
Step-by-step explanation:
The vertex form of the equation of a vertical parabola is
y - k = a(x - h)^2, where (h, k) represents the vertex and a is a scaling factor which stretches or compresses the parabola vertically. If all we know is the vertex (2, -4), then the desired equation is:
y + 4 = a(x - 2)^2
If there is no vertical stretching or compression, then the equation becomes:
y + 4 = (x - 2)^2
Answer:
y = x² - 4x
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 4) , with a = 1 , the equation is
y = (x - 2)² - 4 ← expand using FOIL
= x² - 4x + 4 - 4
y = x² - 4x ← equation of parabola
Find the volume of a cone with a
radius of 10 and a height of 7. Use 3.14 for n and
round the answer to the nearest whole number.
Answer:
Step-by-step explanation:
Volume of a cone formula is
[tex]V=\frac{1}{3}\pi r^2h[/tex] where r is radius and h is height. Filling in:
[tex]V=\frac{1}{3}(3.14)(10)^2(7)[/tex] and doing all the math on that and rounding gives us
V = 733 units cubed
HELP FAST PLEASE!!! NEED ANSWER IN LESS THAN 10 MINUTES!! WILL GIVE BRAINLIEST!!
1. Compute -2 to the power of -3 × -3 to the power of -2.
2. Compute 2^10 x 2^8 x 2^6 x 2^4 x 2^2 x 2^-1 x 2^-3 x 2^-5 x 2^-7 x 2x-9.
3. Compute 2^16 x 4^-8 x 8^4 x 16^-2
TYSM for your help!!
1. (-(2^(-3)))*(-(3^(-2.)))=0.01388888888
2. -294912
3. 16
A square has the same area as a rectangle whose
longer side is 2 times the length of its shorter
side. If the perimeter of the rectangle is 24, what
is the perimeter of the square?
A) 8 √2
B)16 √2
C)32 √2
D)32
Answer:
C) 32 * 2**1/2
Step-by-step explanation:
For rectangle P = L + W = 24 but L = 2W so
2W + W = 24
3W = 24
W = 8 and L = 2W = 16
A = L * W = 16 * 8 = 128
SO for the square with the same area
A = L * L = 128
L**2 = 128
L = 8 * 2**1/2
P = 4L = 32 * 2**1/2
Simplify the expression:
4 + 4f2 + 6f - 6f
Answer:
4f^2 +4
Step-by-step explanation:
4 + 4f^2 + 6f - 6f
Combine like terms
4f^2 +4
NEED ASAP!!!
In this figure, AB || CD and m/_3=120
What is m/_6?
Enter your answer in the box
Answer:
m/_6=60
Step-by-step explanation:
angles 3 and 6 are same side interior angles makeing them suplimentary.
180-/_3=/_6
180-120=60
it works both ways as well!
Luke is swimming in still water at a constant speed of 3 meters/second.
If you graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is
.
A point on this line that corresponds to the distance Luke swam in 45 seconds is
Answer:
1. velocity
Step-by-step explanation:
that is the answer above
Pls help me I’m so confused. I thought I was doing it right but it wasn’t
Answer:
There are 220 possible ways
Step-by-step explanation:
12!/3!(12-3)!
12!/3!•9!
12•11•10•9! / 3!•9! *now you can cancel both 9!
12•11•10 / 3!
12•11•10 / 3•2•1
1320/6
220
What is the distance between (-5, 3) and (7, 3)? Explain using absolute values.
Use pythagoras theorem
d = √((x₁ - x₂)² + (y₁ - y₂)²)
d = √((-5 - 7)² + (3 - 3)²)
d = √((-12)² + 0)
d = √144
d = 12
Answer:
Step-by-step explanation:
distance is √((x2-x1)^2+(y2-y1)^2)
so it will be √((12)^2+(0)^2)
or simply 12. since we are calculating distance, it is always going to be positive so technecally the formula is |√((x2-x1)^2+(y2-y1)^2)|
Before soccer practice, Laura warms up by jogging around the outside of the entire soccer field. The field measures 80 meters by 120 meters.
What is an equation of the line that passes through the point (-5,-4) and is
perpendicular to the line 53 + 6y = 36?
Answer:
Submit Answer
attempt 1 out of 2
Answer:
6,25
Step-by-step explanation:
Find the length of the arc.
We know
Length if arc=L[tex]\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{63π}{12}[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{21π}{4}in[/tex]
Connor rolled a die 6 times. A 2 occurred three times. Why isn't the theoretical probability 3/6 instead of 1/6?
2 occurred 3times
[tex]\\ \sf\longmapsto S=6\times 3=18[/tex]
[tex]\\ \sf\longmapsto |S|=18[/tex]
Now
[tex]\\ \sf\longmapsto E=No\:of\:times\: 2\:occured[/tex]
[tex]\\ \sf\longmapsto |E|=3[/tex]
we know
[tex]\boxed{\sf P(E)=\dfrac{|E|}{|S|}}[/tex]
[tex]\\ \sf\longmapsto P(E)=\dfrac{3}{18}[/tex]
[tex]\\ \sf\longmapsto P(E)=\dfrac{1}{6}[/tex]
complete by using the distributive property (y+3)(y+3)(y+3)
Answer:
y^3+9y^2+27y+27
Step-by-step explanation:
Step 1: Start by understanding FOIL. First. Outer. Inner. Last.
Step 2: In this case we have three sets of parenthesis not 2. So we have to do the same thing but multiply 2 (y+3) sets by y and 3 instead of only multiplying y and 3 by one set.
Step 3: So we get y^3+6y^2+9y+3y^2+18y+27.
This simplifies to y^3+9y^2+27y+27
A pizza parlor offers 4 different pizza toppings. How many different kinds of 2-topping pizzas are available?
Answer:
you need to be more specific.
Step-by-step explanation:
What is the value of the expression 53.5-5? please explain
Answer:
48.5
Step-by-step explanation:
53.5
- 5.0
48.5
5 tenths - 0 tenths = 5 tenths (.5)
3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)
the 5 in the tens position becomes a four because one got "borrowed"
4 - 0 = 4 (4)
48.5 is the result
3. Which word phrase can be used to represent the algebraic expression 4(21+ n)? (2 point) 4 plus the sumn of 21 and a number » O4 times the product of 21 and a number » ne the sum of 21 and a number x 4 less than the sum of 21 and a number : O4 timeſ the
Answer:
4 times the sum of 21 and a number
Step-by-step explanation:
4(21+ n)
The four is being multiplied by the sum of 21 and n
PLEASE HELP! Simplify 2x^2+4xy+2y^2
Answer:
(x+y)(2x+2y)
Step-by-step explanation:
=2x^2 + 2xy + 2xy + 2y^2
=2x(x+y) + 2y(x+y)
=(x+y)(2x+2y)
What quadratic formula do I need to use to solve 3x(x+6)=-1
Answer:
[tex]\Large \boxed{x_1=\frac{9+\sqrt{51} }{3} \ \ ; \ \ x_2=\frac{9-\sqrt{51} }{3} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} 3x(x+6)=-10 \\\\3x^2+18x=-10 \\\\3x^2+18x+10=0 \\\\D=324-120=204 \\\\ x_{1;2}=\frac{18\pm2\sqrt{51} }{6} =\frac{9\pm\sqrt{51} }{3}[/tex]
this graph represents the function f(x)=4sin(x) which statement is true about this function
Answer:
A
Step-by-step explanation:
The function is increasing in the interval in A because as the x-values increase so do the y-values on the graph, which can be shown by the graph sloping upwards at that specific section.
The graph of a function is increasing on the interval (3π/2, 2π) option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have given a graph of a trigonometric function,
As we know, the trigonometric function is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
From the graph, the function is increasing from 3π/2 to 2π
The graph slopes upward at that particular segment, indicating that the function is increasing in the interval in A as the x-values increase and the y-values on the graph follow suit.
Thus, the graph of a function is increasing on the interval (3π/2, 2π) option (A) is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
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3x + 5 = x - 3
What is the solution to this equation? Show all the steps you used to solve this equation.
Answer:
x = -4
Step-by-step explanation:
3x + 5 = x - 3
Subtract x from each side
3x+5-x = x-3-x
2x+5 = -3
Subtract 5 from each side
2x+5-5 = -3-5
2x = -8
Divide each side by 2
2x/2 = -8/2
x = -4
Which equation represents a line which is perpendicular to I = 0?
y = 2
-
3
O x = -4y
Submit Answer
2= 5
o
y = -6
PLS HELP ASAP
I needed help on this
Answer:
Step-by-step explanation:
Let Freda's sum = x
Donnie has 3/4 x
He spends 63 dollars. His sum is now
3/4x - 63
Now the equation looks like this
6(3/4x - 63) = x Remove the brackets
6*3/4 x - 378 =x
6 * 3/4 = 4 1/2
4 1/2 x - 378 = x Add 378 to both sides
4 1/2 x = x + 378 Subtract x from both sides
3.5 x = 378 Divide by 3.5
x = 378 /3.5
x = 108
Since x = 108, that's how much Freda had. (She spent nothing).
If f(x) = 6/x-1
for what value of x does f(x) = 5 ?
Answer:
11/5
Step-by-step explanation:
f(x) = 6/x-1
f(x) = 5
6/x-1 = 5
=> 6 = 5(x-1)
=> 6 = 5x - 5
=> 11 = 5x
=> 5x = 11
=> x = 11/5
A marina is in the shape of a coordinate grid. Boat A is docked at (2.4, -3) and Boat B is docked at (-3.4, -3). The boats are ___ units apart.
A 5.8
B 6.4
C 8.8
D 9.4
A) 60° B) 85° C) 96° D) 40°
Answer:
A)60°
Step-by-step explanation:
a straight line is 180° then
if a line bisect it in to a half it become 90°
then
the exterior angle of a triangle is equal to the sum of two interior angles
this means 150°-90°=60°
Answer: A) 60
Step-by-step explanation:
The line at the top signifies 180 degrees, as does any straight line. The 150° that intersects with P tells you that P must be 30 degrees, as 180 - 150 = 30.
The three angles of a triangle must always equal 180°. Angle R tells you that it’s 90°, shown by the square instead of a curve. If you subtract the value of P we found before, and the value of R we just found, you get your answer.
180 - 30 - 90 = 60.
x + 4 < 16 what the heck is the dang answer
Answer:
x < 12
Step-by-step explanation:
x +4 <16
x < 16 - 4
x < 12
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