The number of degrees does it move in 2 1/5 hours is -66°.
How to calculate the number of degrees?From the information given, it was illustrated that the hour hand of a clock moves −30° every hour.
Therefore, to calculate the degree for a number of hours, we simply have to multiply.
In this case, to get the degree for 2 1/5 hours will be:
= Degree every hour × Number of hours
= -30° × 2 1/5
= -30° × 2.2
= -66°
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Activity No. 16
Find the roots of the following radical expressions.
1. √64
2. ⁴√ -1
3. ³√1000
Write each expression in radical form or with a rational exponent, and simplify.
1. (⁴√ 1)⁷
2. ³ √-64
3. (2⁹)¹/³
4. (11²)¹/²
The roots of the radical expression is given as 8, not defined, 10
What is radical expression?
a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number.
Given,
1. √64
we know 8 multiplied by 8 gives 64
√64 =8
2. ⁴√ -1
not defined
3. ³√1000
We know 10 multiplied by 10 =100
and 100 multiplied by 10 =1000
root of ³√1000 = 10
The radical form or number is
1. (⁴√ 1)⁷=1
2. ³ √-64=8i
3. (2⁹)¹/³=8
4. (11²)¹/² =11
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Can someone help me please I need to check this answer in equations. I have the answer I just need someone to help me check it correctly. There is a way to check them as per Math equations check. 5 pts
8(4 – a) = 2a
32-8a=2a
-2a from both sides
32-10a=0
-32 from both sides
-10a=-32
A=-32/-10
Answer: 16/5=3 1/5 =3.2
Answer:
3.2
Step-by-step explanation:
8(4-a)=2a
32-8a=2a
collect like terms
32=2a+8a
32=10a
divide both sides by 10
a=3.2
Your solution is correct
Henry incorrectly said the rate 1/4 hour/ 1/12 acre can be written as the unit rate 1/48 hour per acre. What is the correct unit rate? What was 's likely error?
In a case whereby Henry incorrectly said the rate 1/4 hour/ 1/12 acre can be written as the unit rate 1/48 hour per acre the correct unit rate is 3hours per acre, he made the mistake by multiplying directly.
What is rate?Rate can be described as thequantity, or degree of something measured per unit of something else, the concept that will be used is the concept of rate.
The given rate will be 1/4 hour per 1/12 acre
but the per that was added implies division,
Then te rate will now be 1/4 hour ÷ 1/12 acre , then we can express as product as :1/4 hour * 12 /1 acre
Then we can simplify as : 3hours per acre
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Factor the difference of cubes.
Zx^{3} -125
Answer:
you cannot factor it anymore
therefore, there is no solution
An angle measures 52 degrees. What is a measure of its complement? What about its supplement?
Answer:
38°
128°
Step-by-step explanation:
Complementary angles have measures that add to 90°.
Supplementary angles have measures that add to 180°.
comp: 90 - 52 = 38
sup: 180 - 52 = 128
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated. AD=3x+5, CD= 3, BC = x, and AB = x +5. Find BC
Answer:
Step-by-step explanation:
x=-11we know thatPoints A,B,C,and D are collinear and positioned in that ordersoAD=AB+BC+CD -----> by addition segment postulatewe haveAB=2x+30AD=x=32substitute the given values and solve for xx+32 = (2x+43)Group terms that contain the same variable2x-x=32-43x=-11
rashaad has a deck that measurea 12 feet by 10 feet. He wants to increase each dimension by equal lengths so that its area is tripled.By how much should he increase each dimenson.
He should increase each dimension by 8 feet.
What is the area of a rectangle?
The area of the rectangle is the region enclosed by the perimeter of the rectangle and is equal to the product of length and width.
i.e. Area (A) = length(l) * width (w)
Given, a deck measurement is 12 feet by 10 feet
i.e. length (l) = 12 feet
width(w) = 10 feet
Area of deck (A) = 12*10 = 120 square feet
Let 'x' be the increased dimensions then,
new length = (12 + x) feet
new width = (10+x) feet
And, area of new dimensions = 3*120 = 360 square feet
So, [tex](12 + x)*(10+x) = 360[/tex]
or, [tex]120+12x + 10x + x^{2} =360[/tex]
or, [tex]x^{2}+ 22x+120-360=0[/tex]
or, [tex]x^{2}+ 22x-240=0[/tex]
or, [tex]x^{2}+30x-8x-240=0[/tex]
or, [tex]x(x+30)-8(x+30)=0[/tex]
or, [tex](x+30)(x-8)=0[/tex]
Either, [tex](x+30)=0[/tex] or, [tex](x-8)=0[/tex]
[tex]x=-30[/tex] [tex]x=8[/tex] (Valid)
Hence, the increased dimension is 8 feet.
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The sales tax on a laptop is $30.00 that cost $800.00. What is the percent of sales tax?
Answer:
3.75%
Step-by-step explanation:
800+3.75%=830
One month Isabel rented 6 movies and 5 video games for a total of $50 . The next month she rented 2 movies and 3 video games for a total of $24 . Find the rental cost for each movie and each video game.
Answer:
Each movie costs $3.75 while each video game costs $5.50.
Step-by-step explanation:
Let the cost of each movie and the cost of each video game be $x and $y respectively.
6x + 5y = 50 ------ equation (1)
2x + 3y = 24 ------ equation (2)
Subtract 3 times of equation (2) from equation (1):
(6x + 5y) - 3(2x + 3y) = 50 - 3(24)
6x + 5y - 6x - 9y = 50 - 72
-4y = -22
4y = 22
∴ y = 5.5
Substitute y = 5.5 into equation (2):
2x + 3(5.5) = 24
2x = 7.5
∴ x = 3.75
please help this is pre calculus
Step-by-step explanation:
1. First things first, the binomial tells us the zeroes.
[tex] - (x - 2) {}^{2} = 0[/tex]
[tex](x - 2) {}^{2} = 0[/tex]
[tex]x - 2 = 0[/tex]
[tex]x = 2[/tex]
This root has a multiplicity of 2, so this root will "bounces off the x axis"
[tex](x + 4) = 0[/tex]
[tex]x = - 4[/tex]
Our x intercepts are
2 and -4
This root has a multiplicty of 1, so it will cross thorough the x axis.
Our leading degree is odd and we have a negative leading coefficient so
as x approaches ♾️, f(x) approaches negative ♾️
and as x approaches negative ♾️, f(x) approaches ♾️.
Our y intercept can be found by letting x=0,
so
[tex] - (0 - 2) {}^{2} (0 + 4) = - ( - 2) {}^{2} (0 + 4) = - (4)(4) = - 16[/tex]
So our y intercept is -16.
For Rational Functions, if the numerator and denominator share the same factor they are considered a removable discontinuity or hole.
Set it equal to 0.
[tex]x + 5 = 0[/tex]
[tex]x = - 5[/tex]
So we have a hole at x=-5.
Next, simplify the fraction.
[tex] \frac{x - 4}{x - 6} [/tex]
Now, plug in -5
[tex] \frac{ - 5 - 4}{ - 5 - 6} = \frac{ - 9}{ - 11} = \frac{9}{11} [/tex]
So we have a hole at (-5,9/11).
To find y intercept, let x=0,
[tex] \frac{0 - 4}{0 - 6} = \frac{2}{3} [/tex]
To find Vertical Asymptote, set denominator equal to 0
[tex]x - 6 = 0[/tex]
[tex]x = 6[/tex]
Draw a vertical dotted line at x=6
To find HA, this is the only case since the numerator and denominator has the same degree.
So using the leading coefficients, divide the numerator leading coefficient/ denominator leading coefficient.
The leading coefficient for both is 1 so
[tex]ha = \frac{1}{1} [/tex]
So our HA is y=1.
Draw a horizon tal dotted line at y=1
We have no slope asymptote.
The graph is above.
Part 3:
(3x-1)(2x+1)>0
[tex]3x - 1 = 0[/tex]
[tex]3x = 1[/tex]
[tex]x = \frac{1}{3} [/tex]
[tex]2x + 1 = 0[/tex]
[tex]2x = - 1[/tex]
[tex]x = - \frac{1}{2} [/tex]
We have three possible regions, when x is positive
When x is less than -1/2When x lies between -1/2 and 1/3When x is greater than 1/3Pick a random number less than -1/2 and plug it in the inequality to see if it true.
Let use -1
[tex](3( - 1) - 1)(2( - 1) + 1) = ( - 4)( - 1) = 4[/tex]
Since 4>0, Whenever x is less than -1/2, the function is positive (greater than zero)
Let's try the next region.
Let use 0
[tex](3(0) - 1)(2(0) + 1) = ( - 1)(1) = - 1[/tex]
So this solution won't work
Let try the next region, let use 1.
[tex](3(1) - 1)(2(1) + 1) = (2)(3) = 6[/tex]
Since 6>0, Whenever x is greater than 1/3, the function is positive(greater than zero).
Our answer is
(-oo,-1/2) U (1/3,oo).
Part 4:
We know x cannot be -2 because
[tex]x + 2 = 0[/tex]
[tex]x = - 2[/tex]
So -2 can not be in our answer.
[tex] \frac{x - 1}{x + 2} \leqslant 2[/tex]
[tex]x - 1 \leqslant 2(x + 2)[/tex]
[tex]x - 1 \leqslant 2x + 4[/tex]
[tex] - 5 \leqslant x[/tex]
So
[tex]x \geqslant - 5[/tex]
However x can not be -2. so we say
[-5,-2) U (-2,oo)
2) 2x-3y=-1
y = x - 1
Answer:
x = 4 and y = 3
Step-by-step explanation:
You are looking for the value of x and y when: 2x - 3y = -1 and y = x - 1
Because you are given y in terms of x (the second equation given), substitute that into the first equation for y:
2x - 3y = -1 when y = x - 1
2x - 3(x - 1) = -1
expand left side:
2x - 3x + 3 = -1
combine x terms on left side:
-x + 3 = -1
subtract 3 from both sides:
-x + 3 - 3 = -1 - 3
-x = -4
divide both sides by -1:
-x/-1 = -4/-1
x = 4
now use x = 4 in one of the original equations to solve for y. For simplicity sake, we will use the second equation but the answer can also be found by substituting x = 4 into the first equation.
y = x - 1 when x = 4
y = 4 - 1
y = 3
Answer:
x = 4; y = 3
Step-by-step explanation:
2x - 3y = -1
y = x - 1
Copy the first equation.
Subtract x from both sides of the second equation and multiply both sides by 3. Write it below the first equation. Then add the equations eliminating y. Solve for x.
2x - 3y = -1
+ -3x + 3y = -3
----------------------
-x = -4
x = 4
Now substitute 4 for x in the second original equation and solve for y.
y = x - 1
y = 4 - 1
y = 3
Answer: x = 4; y = 3
In a marching band maneuver, the marcher at the left spins 180° in place with arms spread, and hands the horn to the marcher at the right, who spins 180° with arms spread, and stops.
a. How far from the initial position is the horn?
The initial position is the hor from inch b.
What composition maps the horn from the initial position to the final position?
Answer: B
Step-by-step explanation:
B
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
The matching angles are equivalent when the lines are parallel.
What are the angles formed in parallel lines?There are numerous pairs of angles that are created when a transversal cuts any two parallel lines. These angles include consecutive interior angles, alternate interior and exterior angles, and comparable angles.Lines in a plane which is consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.Here,
1. angles 6 and 7 are vertical angles.
2. angles 1 and 8 are alternate exterior angles.
3. angles 4 and 5 are alternate interior angles.
4. angles 2 and 6 are corresponding angles.
5. angles 6 and 8 are complimentary angles.
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i need help right now thank you
The sides of ∠1 are FG and FE, the vertex of ∠HFG is F and the names of ∠EFH are ∠F and ∠2
How to determine the sides of ∠1The figure represents the given parameter
From the question, we have
Angle = ∠1
The sides of ∠1 are the sides that extend from the vertex of angle 1
These sides are FG and FE
How to name the vertex of ∠HFGFrom the question, we have
Angle = ∠HFG
In the above representation, the angle can be expressed as
Angle = ∠F
This represents the vertex
So, the vertex is F
How to name ∠EFHFrom the question, we have
Angle = ∠EFH
In the above representation, the angle can be expressed as
Angle = ∠F
Also, we have
Angle = ∠2
So, the names are ∠F and ∠2
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18. Herman decides to take up golf. His golf club membership will cost $450 for the season and he will
be charged $18 for each round of golf that he plays. Herman has decided not to spend more than
$1000 on golf for the season. Write an inequality that describes the relationship between the maximum
amount Herman wants to spend and the total golf costs for the season.
The inequality that describes the relationship between the maximum amount Herman wants to spend and the total golf costs for the season is 450 + 18x ≤ 1000.
Herman can play for a maximum of 30 rounds, which will cost $990 in total.
Herman decides to take up golf. His golf club membership will cost $450 for the season, and he will be charged $18 for each round of golf that he plays. Herman has decided not to spend more than $1000 on golf for the season.
Let the number of rounds of golf Herman plays be represented by the variable "x". We can write the inequality as given below.
450 + 18x ≤ 1000
We can further simplify and solve this inequality.
18x ≤ 1000 - 450
18x ≤ 550
x ≤ 30.56
Hence, the maximum number of rounds of golf is 30. The total cost is calculated below.
C = $450 + $18*30
C = $450 + $540
C = $990
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Solve system of linear inequalities
x< 5
x ≥-4
Answer:
inequality form: -4≤x<5
Which points are located in the third quadrant?
A: E only
B: A and B
C: F and G
D: B only
Which ordered pair makes both inequalities true?
y > –2x + 3
y < x – 2
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 3) and (1, 1). Everything to the right of the line is shaded.
(0,0)
(0,–1)
(1,1)
(3,0)
Answer:
[tex](3,0)[/tex]
Step-by-step explanation:
The ordered pair that satisfies both inequalities will lie in the region that is shaded by both inequalities.
The fraction n/16 is between 1/2 and 3/4. Write down all the possible values of n. Optional working n =
Answer:
n= 9,10,11,12,13
Step-by-step explanation:
Change the denominator to 16 so it can be common with n
1/2
1x8/2x8
8/16
3/4
3x4/4x4
14/16
Now we look at the numerators and see the new ones are 8 and 14 so all the numbers in between 8 and 14 are 9,10,11, 12, and 13
Hopes this helps please mark brainliest
The possible values of n are 9, 10, and 11.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
1/2 < n/16 < 3/4
Now,
Take 1/2 < n/16
1/2 < n/16
16/2 < n
8 < n ____(1)
Take n/16 < 3/4
n/16 < 3/4
n < 3/4 x 16
n < 12 ______(2)
From (1) and (2) we get,
8 < n < 12
This means,
The possible values of n are 9, 10, and 11.
Thus,
n values are 9, 10, and 11.
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What values make the inequality x+6/6-X<0 true?
The values of x that makes the inequality true are within the range x < -6
What is an inequality?An inequality is a mathematical statement that shows that two quantities are unequal.
In such an expression the quantity at the left is either equal to and greater than, greater than, less than and equal to or greater than.
[tex]\frac{x + 6}{6 - x}[/tex] < 0
By cross multiplying,
x + 6 < 0
x < -6
In conclusion, the values of x for which the inequality is true is x < -6
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Answer: C
Step-by-step explanation: for any of my edgen. people.
Find tan 0 if sin=3/4 and 0 is in quadrant 2
Answer:
[tex]-\frac{3}{\sqrt{7} } .[/tex]
Step-by-step explanation:
1) tanΘ=sinΘ/cosΘ;
[tex]2) \ cos \theta=^+_-\sqrt{1-sin^2 \theta}; \ = > \ cos \theta=^+_-\frac{\sqrt{7}}{4};[/tex]
3) if according to the initial condition Θ is in II-quadrant, then the cosΘ<0!
[tex]cos \theta=-\frac{\sqrt{7}}{4} ;[/tex]
4) finally,
[tex]tan \theta=\frac{sin \theta}{cos \theta}=-\frac{3}{\sqrt{7}}.[/tex]
Which equation would reflect the function over the Y-AXIS F(x) = |x+1| -2
Answer:
[tex]g(x)=|-x+1|-2[/tex]
Step-by-step explanation:
When reflecting over the [tex]y[/tex] axis, [tex]f(x) \to f(-x)[/tex].
[tex]f(x)=|x+1|-2 \implies g(x)=|-x+1|-2[/tex]
The equation would be g(x) = |-x+1| -2 reflecting the function over the y-axis.
What is a reflection across the y-axis?Reflection across the y-axis is defined as reflecting a point across they = x, the x-coordinate, and y-coordinate places, the line y = -x is the coordinates (-x, y).
So reflected across the y-axis: f(x) → f(-x),
⇒ (x,y) → (-x , y)
The function is given in the question
f(x) = |x+1| -2
We know that the reflected across the y-axis: f(x) → f(-x),
⇒ (x,y) → (-x , y)
g(x) = f(-x)
g(x) = |-x+1| -2
Thus, the equation would be g(x) = |-x+1| -2 reflect the function over the y-axis.
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The daily cost, y, of hiring a lawn service to work x hours mowing the grounds of a golf course can be modeled using a linear function. The lawn service charges a fixed cost of $100, plus an additional cost of
$25 per hour. The lawn service works a maximum of 6 hours per day. For one day of work, what is the range for this situation? 0
The range for this situation is {125, 150, ... 250}.
What is the range of a function?The range of a function includes all the possible output (y) values when the x value is substituted with a number.
The daily cost of hiring a lawn service = y
The number of hours mowing = x hours
Fixed cost per day = $100
Variable cost per hour = $25
Maximum hours of work per day = 6 hours
Minimum hour of work per day = 1 hour
The equation for 6 hours:y = 100 + 25x
y = 100 + 25(6)
y = 250
y = $250
For 5 hours, y = $225 (100 + 25(5)
For 4 hours, y = $200 (100 + 25(4)
For 3 hours, y = $175 (100 + 25(3)
For 2 hours, y = $150 (100 + 25(2)
For 1 hour, y = $125 (100 + 25(1)
Thus, the daily cost of hiring a lawn service ranges from {125, 150, ... 250}.
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what is 192% of $860.75 ??
Solve the equation without using a calculator
[tex]\boldsymbol{x^5+5x^3+5x-2=0}[/tex]
The values of x are 1, 2, ±√-3.
Step-by-step explanation:
x⁵ + 5x³ + 5x - 2 = 0
x⁵ + 5x³ + 5x = 2
x ( x⁴ + 5x² + 5 ) = 2
x(x² + 1 )(x²+5 ) = 2
x = 2
(x² + 1 ) = 2
x² = 1
x = ± 1
(x²+5 ) =2
x² = -3
x = ±√-3
Hence, the values of x are 1, 2, ±√-3.
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Answer:
x = 0.35438 (5 d.p.)
Step-by-step explanation:
Given equation:
[tex]x^5+5x^3+5x-2=0[/tex]
Solve using the Newton-Rhapson method.
[tex]\boxed{\begin{minipage}{8 cm}\underline{The Newton-Rhapson iteration for solving f$(x) = 0$}\\\\$x_{n+1}=x_n-\dfrac{\text{f}\left(x_n\right)}{\text{f}\:'\left(x_n\right)}$\\\end{minipage}}[/tex]
If f(x) = 0 then:
[tex]\text{f}(x)=x^5+5x^3+5x-2[/tex]
Differentiate f(x) to find f'(x):
[tex]\implies \text{f}\:'(x)=5x^4+15x^2+5[/tex]
This means the iteration formula is:
[tex]x_{n+1}=x_n-\dfrac{{x_n}^5+5{x_n}^3+5{x_n}-2}{5{x_n}^4+15{x_n}^2+5}[/tex]
Let x₀ = 0.
Substitute this into the formula to find x₁:
[tex]\begin{aligned}\implies x_1&=0-\dfrac{(0)^5+5(0)^3+5(0)-2}{5(0)^4+15(0)^2+5}\\&=0-\dfrac{-2}{5}\\&=0.4\end{aligned}[/tex]
Substitute x₁ into the iteration formula to find x₂:
[tex]\begin{aligned}\implies x_2&=0.4-\dfrac{(0.4)^5+5(0.4)^3+5(0.4)-2}{5(0.4)^4+15(0.4)^2+5}\\&=0.4-\dfrac{0.33024}{7.528}\\&=0.3561317747\end{aligned}[/tex]
Repeat until the solution is found:
[tex]\implies x_3=0.354380602[/tex]
[tex]\implies x_4=0.3543780551[/tex]
[tex]\implies x_5=0.3543780551[/tex]
Therefore, the solution to the given equation is x = 0.35438 (5 d.p.).
FIND THE MISSING NUMBERS TO COMPLETE THE LINEAR EQUATION THAT GIVES THE RULE FOR THIS TABLE
X Y
2 26
3 48
4 70
5 92
The required equation of the line is 22x - 18.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
We take the two points (2, 26) and (5, 92) in the given table.
Let the required equation of the line is
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 2, y₁ = 26
x₂ = 5, y₂ = 92
Substitute values in the equation, we get
y - 26 = (92-26/5-2)(x - 2)
y - 26 = 66/3(x - 2)
y = 22(x - 2) + 26
y = 22x - 44 + 26
y = 22x - 18
Therefore, the required equation of the line is 22x - 18.
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¿ CÓMO SE DETERMINA EL ÁREA ENTRE DOS FUNCIONES , A TRAVÉS DE LA INTEGRAL DEFINIDA?
Debemos tomar la integral definida de la diferencia entre las dos funciones en el intervalo dado.
¿Como se determina el area entre dos funciones?Supongamos que queremos encontrar el area entre dos funciones f(x) y g(x) en un intervalo (a, b).
Vamos a suponer que f(x) > g(x) en todo el intervalo (a, b), entonces el area entre la funcion f(x) y g(x) en ese intervalo se calcula como:
[tex]\int\limits^b_a {(f(x) - g(x))} \, dx[/tex]
Si por ejemplo tuvieramos que para un valor c en el intervalo (a, b) se da que:
f(x) > g(x) en (a, c)
g(x) > f(x) en (c, b)
Entonces la integral sería:
[tex]\int\limits^c_a {(f(x) - g(x))} \, dx + \int\limits^b_c {(g(x) - f(x))} \, dx[/tex]
Y similarmente si debemos separar el intervalo mas segmentos.
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when an egg is broken from the shell into a frying pan, the probability that the yoke breaks is said to be 1 in 10. If three eggs are fried. what is the probability that no yoke will be broken.
5x+3y=25, 2x+12y=37
x=3.5 and y=2.5
First, combine the equations in such a way that you can eliminate a variable. Then solve for the variable. Insert this value into one of the original equations and solve for the unknown variable.
See details:
In the metric system each unit is ten times the size of the next smaller unit is this true or false?
This statement is false about metric system.
What is metric system?
matric systemare a group of two or more Lewis structure that represents a single polyatomic species.
Resonance is the ability of system to moves it's pi electron to the system .
Resonance structure are more significant beacuse they provide a much more realistic views of the shape of a molecule.
Each individua matric system is average into a resonance which is both true shape of the molecule .
Thus this statement is false about memetrictric system.
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