Answer:
R
H
S
= cos
2
x
Step-by-step explanation:
Hope this helped!
Rewrite the expression in the form z^n. z x z x z x z x z x z/z x z
Answer:
z⁴
Step-by-step explanation:
(z x z x z x z x z x z) / (z x z)
z⁶ / z² = z⁴
URGENT, please help I am so lost
Answer:
Using the concept of linear equations, we find that we need 40 gallons of the 65% antifreeze and 10 gallons of the 90% antifreeze.
Step-by-step explanation:
Let x = amount of 20% antifreeze
Let y = amount of 70% antifreeze
Given that the total amount of antifreeze is 80 gallons
So, x + y = 80
Also given that the purity of the total antifreeze is 60%.
0.65x + 0.90y = 0.70(x + y)
65x + 90y = 70(x + y)
Simplify and solve the system of equations
65x + 90y = 70x + 70y
65x -70x+ 90y-70y = 0
-5x + 20y = 0
Now we have the following system of equations:
x + y = 50
-5x + 20y = 0
Multiply the first equation by 5 to get opposite coefficients for x;
add the equations to eliminate x
5x + 5y - 5x + 20y = 250
25y = 250
y = 10
Since the total mixed gallons is 50,
x = 50 - 10 = 40
So we need 40 gallons of the 65% antifreeze and 10 gallons of the 90% antifreeze
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A table of data is given.
x: -2, -1, 0, 1, 2
f(x): 128, 27, 5, 1, 0.1
Which exponential model best represents the data?
A. f(x) = 5(1.2)^x
B. f(x) = 5(0.2)^x
C. f(x) = 2(5)^x
D. f(x) = 2(0.5)^x
The exponential model best represents the data is B. f(x) = 5(0.2)^x
How to determine the exponential model?From the table of values, we have the following points:
(x, y) = (0,5) and (1,1)
An exponential model is represented as:
y = ab^x
Substitute (x, y) = (0,5)
5 = ab^0
5 = a
This gives
a = 5
So, we have:
y = 5b^x
Substitute (x, y) = (1,1)
1 = 5b^1
This gives
5b = 1
Divide by 5
b = 0.2
Substitute b = 0.2 in y = 5b^x
y = 5(0.2)^x
Hence, the exponential model best represents the data is B. f(x) = 5(0.2)^x
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Which graph represents this equation?
5y = x + 5
A.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 8, negative 0.5), (negative 5, 0), (0, 1), and (5, 2).
B.
A line is graphed in xy plane ranging from negative 8 to 8 in increament of 1. The line raises through (negative 8, negative 2) ,(0,1) and (1,5).
C.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 5, 4), (0, 5), and (5, 6).
D.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 2, negative 5), (negative 1, 0), and (0, 5). need answer quick
Graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the equation of the line:
5y = x + 5
After plotting the line on the coordinate plane.
The above line passes through:
(-5, 0), (0,1), and (5,2)
And the line rises from (-8, -0.5), (-5, 0), (0,1), and (5,2)
Thus, graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.
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Answer: A. A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 8, negative 0.5), (negative 5, 0), (0, 1), and (5, 2).
Step-by-step explanation:
Hi my name is aughhhhhhhhhhh
Answer:
Hello auggggh nice to meet you!
Step-by-step explanation:
What is the length of the line?
Choose 1 answer: A. 7 B. The square root of 10 C. Square root of 29 D.Square root of 21
Answer:
C
Step-by-step explanation:
= The square root of (5^2+2^2)= The square root of 29 ---> C
State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations.
[tex]5^x = 5^9[/tex]
Answer:
x=9
if
a^b = a^c
then b=c
so in this case x=9
Bryan is making a wooden cube to hold his little sister's jewelry. The volumes the cube is
3
512 in ³. What is the length of one side of the jewelry box?
Answer:
8 in
Step-by-step explanation:
Volume of Cube = 512 in³
Formula : -
Volume of cube = side x side x side = side³
512 = 8 x 8 x 8 = 8³
So,
The length of one side of the jewelry box is 8 in.
Simplify 10√3x +4√3x +5√3x
Add the like terms :
10√3x + 4√3x + 5√3x(10 + 4 + 5)√3x19√3xwhat it the answer to 1 ÷ 4 1/2=
Answer:
2/9 or 0.22222
Step-by-step explanation:
A half-marathon is 13 miles, how many kilometers is that?
26 km
82.36 km
20.92 km
209.31 km
Answer:
The correct answer would be 20.92
what is equivalent to the given equation -8(x+13)=2(x-7)+4x
(-8x-104=6x-14) is equivalent to the given equation (-8(x+13)=2(x-7)+4x).Option C is correct.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given equation;
⇒-8(x+13)=2(x-7)+4x
⇒-8x-13×8 = 2x-2×7+4x
⇒-8x-104=2x-14+4x
⇒-8x-104=6x-14
(-8x-104=6x-14) is equivalent to the given equation (-8(x+13)=2(x-7)+4x).
Hence, option C is correct.
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Solve the equation:
1-2 lnx = -4
~ [?]
X~
Round your answer to the nearest thousandth.
Answer:
x ≈ 12.182
Step-by-step explanation:
1 - 2lnx = - 4 ( subtract 1 from both sides )
- 2lnx = - 5 ( divide both sides by - 2 )
lnx = 2.5
x = [tex]e^{2.5}[/tex] ≈ 12.182 ( to the nearest thousandth )
Answer:
x = 12.182 (nearest thousandth)
Step-by-step explanation:
Given equation:
[tex]1-2 \ln x=-4[/tex]
Subtract 1 from both sides:
[tex]\implies 1-1 -2 \ln x =-4-1[/tex]
[tex]\implies -2 \ln x=-5[/tex]
Divide both sides by -2:
[tex]\implies \dfrac{-2 \ln x}{-2}=\dfrac{-5}{-2}[/tex]
[tex]\implies \ln x = \dfrac{5}{2}[/tex]
[tex]\textsf{As }\: \ln x=\log_ex \:\:\textsf{}[/tex], the natural logarithm can be canceled by giving both sides a base of e (Euler's number):
[tex]\implies e^{\ln x}= e^{\frac{5}{2}[/tex]
[tex]\implies x= e^{\frac{5}{2}[/tex]
[tex]\implies x=12.182\:\: \sf (nearest\:thousandth)[/tex]
The graph shows which system of inequalities
y < -2x + 6
y≤ x + 2
y≤ -2x + 6
y < x+2
Y < 2/3 x-2
≥ 2x + 2
None of the above
Answer:
A. y < -2x + 6
y≤ x + 2
Step-by-step explanation:
I put it in desmos.
Hope this helps!
If not, I am sorry.
What is the range of this function?
OA. (3, 5, 7, 11)
OB. (-3, 4, 5, 7)
OC. (-3, 0, 3, 4, 5, 6, 7, 11)
OD. (-3, 0, 4, 6)
Answer:
(-3, 0, 4, 6) (option D)
Step-by-step explanation:
The "range" of a function is all possible y-values. In this image, there are x's entered on the left side--which I know to be x values because a function, f(x) is essentially the outcome of what happens when x is entered.
So, the y-values are featured on the right. All of these values are the possible values for y, or, what we call the range.
Meaning that the range of this function is (-3, 0, 4, 6)
how to figure out pythagoras theorem?
Any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
What is the Pythagoras Theorem?The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In △ABD and △ACB,
∠A = ∠A (common)
∠ADB = ∠ABC (both are right angles)
Thus, △ABD ∼ △ACB (by AA similarity criterion)
Similarly, we can prove △BCD ∼ △ACB.
Thus △ABD ∼ △ACB,
Therefore, AD/AB = AB/AC.
We can say that AD × AC = AB².
Similarly, △BCD ∼ △ACB.
Therefore,
CD/BC = BC/AC.
We can also say that
CD × AC = BC².
Adding these 2 equations, we get
AB² + BC² = (AD × AC) + (CD × AC)
AB² + BC² =AC(AD +DC)
AB² + BC² = AC²
Hence proved
Thus, any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
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Solve the simultaneous equations below.
7x-6y = 30
2x+6y= 24
Answer:
(x,y)—>(6,2)
Step-by-step explanation:
Add both equations to eliminate y
9x=54
x=6
plug x=6 into either equation
2(6)+6y=24
6y=24-12
y=12/6=2
Simplify the expression.
Answer:
D
Step-by-step explanation:
5) A restaurant menu has 6 starters, 10 mains and 6 desserts.
A customer can choose from the following meals
a starter and a main,
a main and a dessert,
a starter, a main and a dessert.
Show that there are 480 different ways of choosing a meal at this restaurant.
Answer: 360
Step-by-step explanation: 6 times 6 times 10 = 360
Find the value of x.
Answer:
x=21°
Step-by-step explanation:
40°+5x+14°+x=180°
5x+x=180°-40°-14°
6x=126°
x=21°
Answer:
x = 21
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x + 40 + 5x+14 = 180
Combine like terms
6x+54 =180
Subtract 54 from each side
6x+54-54 = 180-54
6x =126
Divide each side by 6
6x/6 =126/6
x = 21
Select the graphs that show a proportional relationship between x and y
please help me to find the answer Y=2X 3X+4Y=22 Y=2X 3X+4Y=22
[tex]\left\{\begin{array}{ccc}y=2x&(1)\\3x+4y=22&(2)\end{array}\right[/tex]
Put (1) to (2):
[tex]3x+4(2x)=22\\3x+8x=22\\11x=22\qquad|\text{divide both sides by 11}\\\boxed{x=2}[/tex]
Substitute the value of x to (1):
[tex]y=2\cdot2\\\boxed{y=4}[/tex]
Solution:
[tex]\huge\boxed{\left\{\begin{array}{ccc}x=2\\y=4\end{array}\right}[/tex]
-(x − 2)(3x2 + 4x − 5)
The simplification of the algebraic expression to its simplest form is -3x³ + 2x² + 13x - 10
What is the simplest form of an algebraic expression?The simplest form of an algebraic expression is a stage at which the expression can no longer be further simplified.
From the given expression:
= -(x − 2)(3x² + 4x − 5)
= (-x +2)(3x² + 4x − 5)
Open brackets
= -3x³ - 4x² + 5x +6x² + 8x - 10
= -3x³ + 2x² + 13x - 10
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If you receive a 20% DISCOUNT off an item costing $20.00, how much money do you save?
Which of the following is an example of why irrational numbers are not closed under addition?
√4+√4=2+2=4,
and 4 is not irrational
1/2+1/2=1, and 1 is not irrational
√10+(-√10) = 0, and 0 is not irrational
-3 +3 = 0, and 0 is not irrational
Answer:
√10 + (-√10) = 0, and 0 is not irrational
^ this one
If it is already 110F degrees below zero, and the temperature drops another 40 F degrees, how cold is it now?
Answer:
-150
or 150 degrees below 0
Step-by-step explanation:
The temp is -110. Dropping another 40 degrees means subtracting 40.
-110 - 40 = -150
Henry recorded the number of miles he biked each day for a week. His milles were 25,40,35, 25, 40, 60, and 75.
Enter the data into the statistics calculator
What is the standard deviation of the milles Henry bilked to the nearest tent?
hat is the total surface area of the square pyramid below? A square pyramid. The square base has side lengths of 10 centimeters. The triangular sides have a height of 14 centimeters. 100 cm2 200 cm2 280 cm2 380 cm2
Answer:
Step-by-step explanation:
area of square + 1/2 area of 1 triangle * 4
X-intercept (3,0) and y-intercept (0, -6).
Given the quadrilateral below is a rhombus, solve for the length of the side of the rhombus.
Answer:
7.21
Step-by-step explanation:
There is a formula to find the area of a side of a rhombus given 2 diagonals.
It is: [tex]\frac{\sqrt{p^{2}+q^{2} } }{2}[/tex]
64 + 144 = 208
[tex]\sqrt{208}[/tex] = 14.42
14.42 / 2 =
7.21