Answer:
Hey there!
-8=x+11/2
-16/2=x+11/2
-27/2=x
Let me know if this helps :)
Answer: -27/2 or -27
Step-by-step explanation:
You didn't use parentheses so the equation isn't clear.
I answered for both possibilities.
[tex]-8=x+\dfrac{11}{2}\\\\\\-8-\dfrac{11}{2}=x\\\\\\-\dfrac{16}{2}-\dfrac{11}{2}=x\\\\\\\large\boxed{-\dfrac{27}{2}=x}[/tex]
[tex]-8=\dfrac{x+11}{2}\\\\\\-8(2)=\dfrac{x+11}{2}(2)\\\\\\-16=x+11\\\\\\-16-11=x\\\\\\\large\boxed{-27=x}[/tex]
Pls helppppp thxxxxx
The angle above the y is 90 degrees ( shown by the little square)
The 3 inside angles of a triangle need to equal 180.
Y = 180 - 90 - 48
Y = 42
Answer: y = 42°
Step-by-step explanation:
Triangle Sum Theorem states the sum of the angles of a triangle is 180°
y + 48° + 90° = 180°
y + 138° = 180°
y = 42°
Fully simplify using only positive exponents.
\frac{5x^6y^6}{125x^5y^3}
125x
5
y
3
5x
6
y
6
Answer:
[tex]\frac{xy^{3}}{25}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5x^6y^6}{125x^5y^3}[/tex]
Required
Simplify the given expression
[tex]\frac{5x^6y^6}{125x^5y^3}[/tex]
Start by applying law of indices
[tex]\frac{5x^{6-5}y^{6-3}}{125}[/tex]
[tex]\frac{5xy^{3}}{125}[/tex]
Divide numerator and denominator by 5
[tex]\frac{xy^{3}}{25}[/tex]
Hence; the expression is equivalent to [tex]\frac{xy^{3}}{25}[/tex]
The following equation involves a trigonometric equation in quadratic form. Solve the equation on the interval [0,2π).
2sin2x+sinx=1
Answer:
[tex]\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}[/tex]
Step-by-step explanation:
Given the quadratic equation as:
[tex]2sin^2x+sinx=1\\OR\\2sin^2x+sinx-1=0[/tex]
Let us put [tex]sinx=y[/tex] for simplicity of the equation:
Now, the equation becomes:
[tex]2y^2+y-1=0[/tex]
Now, let us try to solve the quadratic equation:
[tex]\Rightarrow 2y^2+2y-y-1=0\\\Rightarrow 2y(y+1)-1(y+1)=0\\\Rightarrow (2y-1)(y+1)=0\\\Rightarrow 2y-1 = 0, y+1 = 0\\\Rightarrow y = \dfrac{1}{2}, y = -1[/tex]
So, the solution to the given trigonometric quadratic equation is:
[tex]sinx = \dfrac{1}{2}[/tex]
and
[tex]sinx=-1[/tex]
Let us try to find the values of [tex]x[/tex] in the interval [tex][0, 2\pi)[/tex].
[tex]sin\theta[/tex] can have a value equal to [tex]\frac{1}{2}[/tex] in 1st and 2nd quadrant.
So, [tex]x[/tex] can be
[tex]30^\circ, 150^\circ\\OR\\\dfrac{\pi}{6}, \dfrac{5\pi}{6}[/tex]
For [tex]sinx=-1[/tex],
[tex]x = 270^\circ\ or\ \dfrac{3 \pi}{2}[/tex]
So, the answer is:
[tex]\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}[/tex]
Simplify. 863x14y9−−−−−−√ Assume x and y are nonnegative.
Answer:
24x^7 y^4 √7y
Step-by-step explanation:
The value of expression would be 24x⁷y⁴√7y which is determined by simplification of the given expression 8 √63x¹⁴y⁹.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have been the given expression as :
8 √63x¹⁴y⁹
We can simplify as:
⇒ 8 √63x¹⁴y⁹
The square root of a number is a number that can be multiplied by itself and gives the actual number.
⇒ 8 √[3×3×7( x⁷)²x (y⁴)² y]
Assume x and y are nonnegative.
⇒ 24x⁷y⁴√7y
Hence, the value of expression would be 24x⁷y⁴√7y.
Learn more about the algebraic expression here :
brainly.com/question/21751419
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The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is ___ m.
Answer:
8
Step-by-step explanation:
Jerome is an accounts payable clerk that when printing check used 1/4 of a box of check stock. How many checks did Jerome use for if 1000 checks are able to printed out of each box?
Solve the formula h=54t+12at2 h = 54 t + 1 2 a t 2 for a.
Help me with this please i don't understand
Answer:
84 cm²
Step-by-step explanation:
Surface are of the net = sum of the area of each section
Area of the 2 right triangles:
base (b) = 4cm, height (h) = 3 cm
Area = 2(½*b*h) = 2(½*4*3) = 4*3 = 12 cm²
Area of rectangle with the following dimensions:
length (L) = 6 cm, width (W) = 4 cm
Area = L*W = 6*4 = 24 cm²
Area of rectangle with the following dimensions:
length (L) = 6 cm, width (W) = 5 cm
Area = L*W = 6*5 = 30 cm²
Area of rectangle with the following dimensions:
length (L) = 6 cm, width (W) = 3 cm
Area = L*W = 6*3 = 18 cm²
Surface area of the net = 12 + 24 + 30 + 18 = 84 cm²
Which phrase best describes f(x), graphed on the coordinate plane below?
answer.next time out the graph
Step-by-step explanation:
Answer:
It's A, an odd function
Find an equation for a tangent plane z=e-x2-y2 at the point (0,0,1).
Answer: equation of the tangent plane is z = 1
Step-by-step explanation:
Given equation
z = e^(-x²-y²) at point (0,0,1)
now let z = f(x,y)
Δf(x,y) = [ fx, fy ]
= (-2xe^(-x²-y²)), (-2ye^(-x²-y²))
now
Δf (0,0) = [ 0, 0 ] = [ a, b ]
equation of the tangent plane therefore will be
z - z₀ = a(x-x₀) + b(y-y₀)
z - 1 = 0(x-0) + 0(y-0)
z - 1 = 0 + 0
z = 1
Therefore equation of the tangent plane is z = 1
Chang Industries has bonds outstanding with a par value of $210,400 and a carrying value of $218,600. If the company calls these bonds at a price of $214,000, the gain or loss on retirement is:
Answer:
The loss is $4600.
Step-by-step explanation:
The par value of the bonds = $210400
The carrying value of the bonds or the actual value of bonds = $218600
The company calls the bonds at the price = $214000
Now have to find the gain or loss from the given information. Thus, below is the calculation to find the gain or loss.
Loss or gain on retirement = $214,000 - $218,600 = -$4,600
Thus the loss on retirement is $4600.
F(x) = 3x - 7 and g(x) = -2x - 6. Find (f o g)(4)
Answer:
(f o g)(4) = - 49Step-by-step explanation:
F(x) = 3x - 7
g(x) = -2x - 6
To find (f o g)(4) we must first find (f o g)(x)
To find (f o g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with
g (x).
We have
(f o g)(x) = 3( - 2x - 6) - 7
= - 6x - 18 - 7
We have
(f o g)(x) = - 6x - 25
To find (f o g)(4), substitute the value of x that's 4 into (f o g)(x)
We have
(f o g)(4) = - 6(4) - 25
= - 24 - 25
We have the final answer as
(f o g)(4) = - 49Hope this helps you
Which two of the following are appropriate methods to graph the line 2 + 4y = 8.
Answer : -Idenify the slope, and the y-intercept, then graph.
-Find the x - and y - intercept and then graph.
Step-by-step explanation:
Options (C) identify the slope and y - intercept and then graph and (D) find the x and y intercepts and then graph are the correct answers.
What is a line graph?A line graph is a graph formed by segments of straight lines that join the plotted points that represent given data. The line graph is used to solve changing conditions, often over a certain time interval.
For the given situation,
The line graph consists of a horizontal x-axis and a vertical y-axis.
Methods to graph a line are
Graph a linear function by plotting points.Graph a linear function using the slope and y-intercept.Graph a linear function using transformations.Hence we can conclude that options (C) identify the slope and y - intercept and then graph and (D) find the x and y intercepts and then graph are the correct answers.
Learn more about line graph here
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Solve |f−6| = |f+8| Can someone please help me with this question? I'm stuck.
Answer:
no solution
Step-by-step explanation:
|f-6| = |f+8|
solve absolute values
f-6 = f+8
add 6 to 8
f = f+14
subtract f from f
0=14
not true; no solution
if an area can be washed at a rate of 4,900 cm2/ minute, how many square inches can be washed per hour?
Answer : 4.5 × 10⁴ square inches can be washed per hour.
Step-by-step explanation :
As we are given that an area can be washed at a rate of 4,900 cm²/min. Now we have to determine the square inches can be washed per hour.
Given conversions are:
1 cm = 0.39 in and 1 hr = 60 min
As, 1 cm² = (0.39)² in² and 1 min = 1/60 hr
So, [tex]1cm^2/min=(0.39)^2\times 60in^2/hr[/tex]
[tex]1cm^2/min=9.126in^2/hr[/tex]
Now we have to determine the square inches can be washed per hour.
As, [tex]1cm^2/min=9.126in^2/hr[/tex]
So, [tex]4900cm^2/min=\frac{4900cm^2/min}{1cm^2/min}\times 9.126in^2/hr=44717.4in^2/hr=4.5\times 10^4in^2/hr[/tex]
Therefore, 4.5 × 10⁴ square inches can be washed per hour.
Kyle wants to buy a new laptop that has an original price of $540. The store is having a sale, so the laptop is 10 percent off, which amounts to a discount of $54. If sales tax is 8 percent on the final price of the laptop, how much tax will he need to pay?
Answer:
A. 38.88
Step-by-step explanation:
$540-54 is 486
486(0.08) or 486(8%) is 38.88
Answer:
$38.88
I took the test, trust me
What is the length of an arc given that the measure of the central angle is 30 degree and the radius is 7 cm?
La longitud del arco (s) en una circunferencia, conociendo el radio (r) y el ángulo (θ) que forman los dos radios, es:
s = r∙θ
Con el ángulo en radianes
F V7 w7 :
||x−4|-2|<3 PLEASE ANSWER!!!
Answer:
-1<x<9
(I think you notated it wrong, it should be |x-4|-2<3)
find the average of 2m,20cm and 95cm give your answer in cm
Answer:
The average is:
105 cm
Step-by-step explanation:
1 m = 100cm
2m = 2*100 = 200cm
then:
(200 + 20 + 95)/3 = 315/3 = 105cm
ABSOLUTE VALUE! What is the absolute value of -7?
Answer:
7
Step-by-step explanation:
For any real number x, if x > 0 then |x| = x and if x < 0 then |x| = -x. In this case, x < 0 so |-7| = -(-7) = 7.
Answer:
answer is 7
Step-by-step explanation:
if its a negative, its always the positive of that number....if that makes sense
What are the domain and range of f(x) = -37?
A. Domain: All real numbers greater than or equal to -37
Range: All real numbers
B. Domain: {-37}
Range: All real numbers
C. Domain: All real numbers
Range: All real numbers greater than or equal to -37
D. Domain: All real numbers
Range: {-37}
Answer:
d
Step-by-step explanation:
evaluate h^2-3h+2 for h= -3
Answer:
2
Step-by-step explanation:
1. Start by substituting 3 for every h, so it looks like 3^2-3(3)+2
2. Do the exponent first 9-3(3)+2
3. Multiply 3(3) to get 9-9+2
4. Subtract 9-9, 0+2
5. Add 0 and 2 to get 2
Find the least common multiple of 15, 2, and 10.
LCM = 30
Step-by-step explanation:15 = 3×5
2 = 2¹
10 = 2×5
LCM = 2×3×5 = 30
Which fraction has a repeating decimal as its decimal expantion
PLEASE HELP ASAP PLEASE
Answer:
16
Step-by-step explanation:
Roger has a nail that is 12 centimeters long. He measures and records the length of the nail as 15 centimeters. What is the percent error in Roger's measurement? A. 15% B. 17% C. 20% D. 25%
Answer:
A. 15%
Step-by-step explanation:
Find the lengths of the sides of the triangle PQR. P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) a. |PQ| = b. |QR| = c. |RP| =
Given :
Three points , P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) .
To Find :
The length of sides .
Given :
We know , length of two points P(x,y ,z) and Q(a,b,c) is given by :
[tex]L=\sqrt{(x-a)^2+(y-b)^2+(z-c)^2}[/tex]
Length of PQ :
[tex]PQ=\sqrt{(4-2)^2+(3-1)^2+(4-3)^2}\\\\PQ=\sqrt{4+4+1}=\sqrt{9}\\\\PQ=3[/tex]
Length of QR :
[tex]QR=\sqrt{(2-2)^2+(1-7)^2+(3-0)^2}\\\\QR=\sqrt{0+6^2+3^2}\\\\QR=\sqrt{36+9}\\\\QR=\sqrt{45}\\\\QR=3\sqrt{5}[/tex] :
Length of RP :
[tex]RP=\sqrt{(2-4)^2+(7-3)^2+(0-4)^2}\\\\RP=\sqrt{2^2+4^2+4^2}\\\\RP=\sqrt{4+16+16}\\\\RP=\sqrt{36}\\\\RP=6[/tex]
Hence , this is the required solution .
Katie has a collection of nickels dimes and quarters with a total value of $4.60. there are 6 more dimes than nickels and 8 more quarters than nickels. How many of each coins does she have?
Answer:
920
Step-by-step explanation:
$4.60×6-8
$4.60×2dimes
=920
What is the value of 3/4+5/36+7/144+........+17/5184+19/8100
Answer:
0.943125.
Step-by-step explanation:
I used an website which is Desmos.com. it works great and is very helpful. you should give it a try.
Sanna has 38 homework problems to finish she finishes the 14 problems in 25 minutes. How long will it take her to finish the rest of the assignment, if she continues at the same pace?
Answer:
45
Step-by-step explanation: