Answer:
Step-by-step explanation:
√144 < √169
Answcăn169
Step-by-step explanat
ion:cvăn 144
Use the discriminant to determine how many and what
kind of solutions the quadratic equation x2 - x = 1/4
has.
Answer:
Step-by-step explanation:
x²-x-1/4=0
or 4x²-4x-1=0
disc.=(-4)²-4(4)(-1)=16+16=32>0 ,not a perfect square.
Roots are real,different and irrational.
It has 2 roots or 2 solutions.
Answer:
Step-by-step explanation:
x² - x = 1/4
[tex]x^{2}-x -\frac{1}{4}=0\\\\a = 1 \\\\b = -1\\\\c = \frac{-1}{4}\\\\D = b^{2}-4ac\\\\ = (-1)^{2}-4*1*\frac{-1}{4}\\\\= 1 + 1\\= 2[/tex]
D = 2 > 0
So, this equation has real roots
Name five whole numbers that can be expressed as the difference of two perfect squares. Show the math!
Please show the steps. and the answer
Answer:
$321562.50
Step-by-step explanation:
Exponential growth can be modeled by the formula [tex]y = a(1+r)^{x}[/tex] , with y representing the final value, a being the starting value, r being the growth rate, and x being the number of time intervals passed.
To figure out the rate, we must use the values given from the months we have data of. Our starting value is 60,000 , ending value is 105,000 , and given that monthly sales are given, we can assume that sales grew exponentially each month. There were 4 years, or 48 months, that the store had to grow. Our formula is thus
[tex]105000 = 60000(1+r)^{48}\\[/tex]
To solve for r, we can first divide both sides by 60,000 , then put each side to the power of 1/48, resulting in
[tex]105000/60000 = (1+r)^{48}\\1.75 = (1+r)^{48}\\\\1.75^{1/48} = 1+r[/tex]
Since we know our rate, and there are 8 years/96 months between January 2005 and January 2013, we can make our starting value 105,000 , plug (1.75)^(1/48) for r and 96 for x in [tex]y = a(1+r)^{x}[/tex], and go from there.
Our final value is then
[tex]y = 105000(1.75^{1/48})^{96}\\y = 105000(1.75^{2})\\y = 321562.5[/tex]. We were able to turn 1.75^(1/48)^(96) into 1.75² using the exponent rule stating that x^y^z = x^(y*z)
Make an inference I sit in my seat, as a lady at the piano plays a soft melody. Each chair in the auditorium is decorated with white flowers. Everyone is wearing pretty clothes with lace and silk. I am wearing a puffy pink dress. The lady at the piano plays a new song. Everyone stands, and the back doors of the auditorium open. The bride steps inside. Where am I?
Answer:
Standing in front of your seat
how many even numbers are between 11 and 30
Answer:
9 even numbers are between 11 and 30.
Step-by-step explanation:
12, 14, 16, 18, 20, 22, 24, 26, 28
minus 15 over minus 4
Answer:
3.75
Step-by-step explanation:
ill be giving brainlist:( please help
Answer:
Step-by-step explanation:
The translation vector < 4, - 2 > means each point is being moved 4 units to the right and 2 units down.
X(0, 3) ------> X' ( 0 + 4, 3 - 2 ) = X'(4, 1)
Y( - 1, 1) ------> Y' ( - 1 + 4, 1 - 2 ) = Y'(3, - 1)
Z( - 3, 4) -----> Z' ( - 3 + 4, 4 - 2 ) = Z'(1, 2)
if f( x )3 X + 4 and g(x)= X + 1 find the value of x given that F - 1g( x) = 2
Answer:
The answer for the question is -1.5
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Find the volume of this cylinder.
Round to the nearest tenth.
8in
2in
[?] in3
Answer:
The answer is 100.5 [tex]in^{3}[/tex].
Step-by-step explanation:
To solve for the volume of the cylinder, use the cylinder volume formula, which is V = [tex]\pi r^{2} h[/tex].
Next, plug in the information given from the problem, and the formula will look like V = [tex](\pi) (2 in^{2}) (8 in)[/tex].
Then, solve the equation, and the answer will be 100.5 [tex]in^{3}[/tex].
Help pls it easy for everyone, i need it before 20 mins plss
Hey guys I need help again please.. it’s question number 5
Simplify the expression 2* = 210.
Answer:
1/64
Step-by-step explanation:
When dividing numbers with exponential values (that have the same base), you subtract the exponential values. 4 - 10 is -6, so the answer would be 2^-6. However, that is not simplified yet. If the exponent is negative, the expression turns into a fraction. 1/2^6 can also be written as 1/64, which is the final answer.
How many meters of wire is needed to fence around this garden whose sides are 16m by 12m? ( not drawn to scale)
Answer: 56 m
Step-by-step explanation:
Given
The dimension of the garden is [tex]16\ m\times 12\ m[/tex]
So, the wire needed to fence around it is equal to the perimeter of the garden
[tex]\Rightarrow P=2(16+12)\\\Rightarrow P=2\times 28\\\Rightarrow P=56\ m[/tex]
What is the common factor in the expression 6ba + 2ab? *
Answer:
2ab
Step-by-step explanation:
6ba + 2ab = 2ab(3+1)
= 2ab (4)
so, the common factor = 2ab
Answer:
2ab
Step-by-step explanation:
Help please I would really appreciate it thank you so much
Answer:
12 in the first blank
20 in the second one
Step-by-step explanation:
12 because it is 8+4
20 because it is 60/3
323323332222222222222222222
Answer:
Step-by-step explanation:there are 4 spaces between each whole number so each line is 1/4 of a whole.
A is 1 space away from 0 so it is 1/4
B is 2 spaces below 0 so is -1/2
What is the surface area of a cube that measures 4 inches on each side?
____ square inches
Answer:
96 Square inches
Step-by-step explanation:
because the formula of the surface of the cube is l x l x 6 so 4 x 4 x 6
excuse me for my bad English but I am italian
Given f(x) and g(x) = k-f(x), use the graph to determine the value of k.
f(x)
g(x)
A. -5
B. -1/5
C. 1/5
D. 5
===========================================================
Explanation:
The point (-2,2) is on the red f(x) line. This point is marked in black.
It corresponds to the point (-2,-10) on the g(x) blue line.
The point (-2,2) moves to (-2,-10). The x coordinate stays at x = -2. The y coordinate has gone from y = 2 to y = -10. This is a jump of "times negative 5".
-5*2 = -10
So we see that k = -5
Saying g(x) = k*f(x) is the same as g(x) = -5*f(x)
Recall that y = f(x), so saying -5*f(x) is really saying "whatever the y coordinate is on f(x), multiply it by -5 to get the corresponding y coordinate on g(x)".
Answer:
-5
y = -x + 4 (red)
y=5x -20 (blue)
-5*(-x+4) = 5x-20
Step-by-step explanation:
x/3 -6 =y
Solve for x
Answer:
x= 3(y+6) or x = 3y + 18
Step-by-step explanation:
get the "x" by itself.
so first +6 on both sides of the equation to make it x/3=y+6
then multiply both sides by 3 to make it x=(y+6)*3
Need help on this question asap pleasee
Answer:
9 pounds
that's the answer
Which of the following is the best definition of the domain of a relation?
A. The set of all allowable input values, or values
B. The set of all allowable output values, or y-values
c. The set of all allowable input values, or x-values
D. The set of all allowable output values or values
Answer:
C. The set of all allowable input values, or x-values
Step-by-step explanation:
The domain is the input values, x, and the range is the output values, y, in a relation or function.
Which equation has the least steep graph A. y = 2x + 1 B. y = -7x-2 C. y=-3/4x-9 D. y = 1/4x+6
Answer:
D. y = 1/4x + 6
Step-by-step explanation:
In the linear equation y = mx + b, m is the slope.
A graph will be steeper if it has a larger slope, and less steep if it has a smaller slope.
So, to find which equation has the least steep graph, find which one has the smallest slope.
Out of the 4 equations, the smallest slope is 1/4. Although -7 is the smallest number, it still has a steep slope. The negative sign just makes it go in the other direction.
So, the equation with the least steep graph is D. y = 1/4x + 6
Answer:D
Y= 1/4x +6
Step-by-step explanation:
What is the prime factorization of 43? Enter your answer as a product of prime numbers, like 2 x 3 or as a single prime number, like 17.
Answer:
43
Step-by-step explanation:
43 is a prime number
I rlly need some help
Answer:
5/3π or 5.2
Step-by-step explanation:
30 / 360 = x / 20π
then x = 5/3π or 5.2
Answer:
5/3 [tex]\pi[/tex]
Step-by-step explanation:
30/360 * 2 [tex]\pi 10[/tex]
1/12 * 2 [tex]\pi 10[/tex]
20/12 [tex]\pi[/tex]
5/3 [tex]\pi[/tex]
What is the measure of RPQ
Answer:
239
Step-by-step explanation:
SP is the diameter so Arc RP is supplementary to Arc SR
[tex]31 + x = 180[/tex]
[tex]x = 149[/tex]
Arc PQ is supplementary to Arc SQ so
[tex]90 + x = 180[/tex]
[tex]x = 90[/tex]
Arc Addition:
[tex]149 + 90 = 239[/tex]
Part II: Find the sine, cosine, and tangent ratios of <y
Answer:
sin θ = 22.62°
cos θ = 22.62°
tan θ = 22.62°
Step-by-step explanation:
From the diagram above
Opposite = 5
Adjacent = 12
Hypotenuse = 13
a) sin θ = Opp/Hypotenuse
sin θ = 5/13
sin θ = 0.3846153846
arc sin 0.3846153846
= 22.619864948°
Approximately = 22.62°
b) cos θ = Adjacent/ Hypotenuse
θ = 12/13
= arccos(0.9230769230769231)
22.619864948°
Approximately = 22.62°
c) tan θ = Opposite/Adjacent
θ = 5/12
= arctan(0.4166666666666667)
= 22.619864948°
= 22.62°
I don’t get this question can someone plz help meee
Answer:
-16
Step-by-step explanation:
Given that the first term is -10 .
=> a1 = -10 .
General formula:-
=> a_n = a_n -1 + 3 .
Therefore , the common difference :-
=> 2nd term - 1 term
=> a_n-1 - a_n = -3
nth term of the AP is ,
=> T_n = a + (n-1)d
=> T_3 = -10 + (3-1) × -3
=> T_3 = -10 + -6
=> T_3 = -16 .
How do you write 7.7 x 102 in a standard form?
Answer:
is this supposed to say 7.7 x [tex]10^{2}[/tex] ? if so then it's 770 (you move the decimal over 2 places to the right)
Step-by-step explanation:
7.7 × 10^2
is 770
hope it helps
determine the equation of the circle graphed below.
Answer:
(x - 5)² + (y - 5)² = 18
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, 5) , then
(x - 5)² + (y - 5)² = r²
r is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)
r = [tex]\sqrt{(8-5)^2+(8-5)^2}[/tex]
= [tex]\sqrt{3^2+3^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex] ⇒ r² = ([tex]\sqrt{18}[/tex] )² = 18
Then
(x - 5)² + (y - 5)² = 18 ← equation of circle
There are 2 mystery books, 2 romance books, 2 poetry books to be randomly placed on a shelf. What is the
probability that the mystery books are next to each other, the romance books are next to each other, and the
poetry books are next to each other? (For example, MMRRPP).
Answer:
there would be a 2 out of 6 chance i think
Step-by-step explanation:
find the area of this figure 15ft 10ft 10ft 5
Answer:
150 feet2 50 feet I hope this helps!
Step-by-step explanation: