expression :
[tex]\sqrt{5} \sqrt{5}[/tex] = [tex]\sqrt{5X5} = \sqrt{25} = 5[/tex].
What is a square root?In mathematics, the square root is a factor that, when multiplied by itself, equals the original integer.The radical symbol used to denote a number's root is "[tex]\sqrt{x}[/tex]" The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.It is easy to determine a number's square. To determine the given number's square, we must multiply it by itself. [tex]x^{2}[/tex] integer is always used to denote the square term.To learn more about : Square and Root
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Remove all perfect squares from inside the square root sqrt(12)
Answer:
Step-by-step explanation:
5. In which of the following ways are linear systems similar to quadratic systems? Select all that apply. (3 poir
Both can be solved by graphing.
Both can have two solutions.
O Both can be solved by substitution.
O Both have solutions at the points of inters
The ways in which the linear systems are similar to quadratic systems includes:
A) Both can be solved by graphingC) Both can be solved by substitutionD) Both have solutions at the points of intersection.What are linear and quadratic system?The linear system means the model based on the use of a linear operator and, they exhibit features and properties that are much simpler than the nonlinear case. The quadratic system of equations consists of only quadratic equations.
The linear & quadratic systems are solved by graphing and substitution. In the linear systems, we get the lines and in quadratic systems, we get curves. In conclusion, the point of intersection of two lines or curves are the solutions of the respectively system.
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Given that cosA=1/4 where 270°
Angle A is located in the third quadrant and solved to be a value of 255.522 degrees.
What is quadrant?A quadrant refers to fourth division. In a circle, a quadrant represents a quarter of a circle.
In angle calculations, there are 4 quadrants. The first quadrant is between angles 0 to 90 degrees. The second quadrant is between angles 90 to 180 degrees. The third quadrant is between angles 180 to 270 degrees. The fourth quadrant is between 270 to 360 degrees.
The each quadrant is at 90 degrees interval. and the in angle calculations, the rotation is in anticlockwise direction
How to find angle Acos A = 1/4
where 270°
270 degrees represent the third quadrant. Hence angle A is in the third quadrant
solving for angle A
let cos a = 1/4
a = arc cos ( 1/4 )
a = 75.522 degrees ( in first quadrant )
A = a + 180 degrees
A = 75.522 degrees + 180 degrees
A = 255.522 degrees
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svp aider moi je vous en pris c'est urgent
what is the acceleration of a motorcycle moving on a straight path when the speed goes from 0 to 70 miles per hour in 5 seconds?
Answer: 14 mile/s2
Step-by-step explanation:
What exponent is understood on the base "x" in the following expression?
xy^3
What is the exponent of "x"?
The exponent that is understood on the base x in the given expression is; 1
How to interpret Exponents?The exponent of a number tells us how many times to use the number in a multiplication. Exponents are also called Powers or Indices. For example in the exponent form ab^(x), we can say that;
The base is a and its' exponent is 1.
Applying the above to our question gives us;
If the exponent form is xy^3, then we can say that;
The base is x.
We can see that there is no exponent attached to x and as such we will use 1 as 1 will still give us the value of x.
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out of 457 applicants for a job, 271 have over 5 years of experience and 75 have over 5 years of experience and have a graduate degree. step 2 of 2 : consider that 116 of the applicants have graduate degrees. what is the probability that a randomly chosen applicant has over 5 years of experience, given that the applicant has a graduate degree? enter a fraction or round your answer to 4 decimal places, if necessary.
The probability that a randomly chosen applicant has over 5 years of experience is 0.2768.
What is probability?It should be noted that probability simply has to do with the likelihood that an event will happen.
From the information, out of 457 applicants for a job, 271 have over 5 years of experience and 75 have over 5 years of experience.
Therefore, the probability that a randomly chosen applicant has over 5 years of experience will be:
= Number of graduate over 5 years / Number of people over 5 years experience
= 75 / 271
= 0.2768
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Name Line / Line Segment / RayJul 26, 6:43:31 PM?Name the figure below in two different ways.DSymbol:andO
For this question, notice that:
This are 3 different ways to name
ZA and ZB are complementary angles. If mA = (2x + 5)° and
m/B = (4x + 19)°, then find the measure of ZA.
The most appropriate choice for complementary angle will be given by:
∠A = 27°
What are complementary angles?
Two angles are said to be complementary if the sum of the two angles is 90°
Here,
∠A = (2x + 5)°
∠B = (4x + 19)°
∠A and ∠B are complementary
(2x + 5) + (4x + 19) = 90
6x + 24 = 90
6x = 90 - 24
6x = 66
x = [tex]\frac{66}{6}[/tex]
x = 11
∠A = 2 x 11 + 5
= 22 + 5
= 27°
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Complete Question
∠ A and ∠B complementary angles. If m∠A = (2x + 5)° and m∠B = (4x + 19)°, then find the measure of ∠A.
a plane flying with a constant speed of passes over a ground radar station at an altitude of and climbs at an angle of . at what rate is the distance from the plane to the station increasing one minute later? hint: use the law of cosines.
the rate from the plane to the radar station increasing 3 minutes later is 19.81 km/min
A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 45 degrees. At what rate is the distance from the plane to the radar station increasing one minutes later?
speed (Δs₁)= change in distance(Δd₁) /(Δt₁)change in time
mathematically,
(Δd₁) /(Δt₁) = Δs₁
= 14 km/min = (Δd₁) /(Δt₁)
and will are to find the speed after passes the radar
=Δs₂ km/min = (Δd₂) /(Δt₂)
to find distance d₁ and d₂ with respect to angle 45 degree at 4km
sin 45 = opp/hyp = 4/d₁
d₁ = 4/sin45 = 5.66km
tan 45 == opp/adj = 4/d₂
d₂ =4/tan45 = 4km
for one minute increment,
=1 x d₁ x Δs₁ = 1 x d₂ Δs₂
= 1x5.66x14 = 1x 4 xΔs₂
= 79.24 = 4Δs₂
speed =Δs₂ = 19.81km/min
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Write an equation of the line that passes through each pair of points.
well, let's keep in mind that whenever the x-coordinate is the same, we have a vertical line, so, Check the picture below.
Help me please I’ll give lots of points
Equivalent equations (acceptable moves)
(1)
4(x+3)=32
x+3 = 8
(2)
[tex]\frac{(9x+4)}{2} =5\\\\9x+4=10[/tex]
(3)
x- 7+ 3x=25
4x-7=25
Not equivalent (unacceptable moves)
(1)
2(x+5) = 10
2x+5 = 5( 20 is wrong)
(2)
2x+4=22
2x= 22-4= 18 (26 is wrong)
(3)
[tex]\frac{(6x-1)}{3} =27\\\\6x-1=81[/tex] (9 is wrong)
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A boat is heading towards a lighthouse, whose beacon-light is 144 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 9^{\circ} ∘ , before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 14^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
Using the slope concept, the distance from point AA to point BB ≅ 360 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change.
It's also the tangent of the angle of depression.
We can get, the vertical change is of 144 feet.
At point A, the angle is of 9º, while the horizontal position is of [tex]x_{A}[/tex] ,
Then, we can write,
tan 9º = [tex]\frac{144}{x_{A} }[/tex]
[tex]x_{A}[/tex] = 144/tan 9º
Hence, tan 9º = 0.15
[tex]x_{A} =[/tex] 144/0.15
[tex]x_{A}[/tex] = 960
At point A, the angle is of 14º, while the horizontal position is of [tex]x_{B}[/tex] ,
Then, we can write,
[tex]x_{B}[/tex] = 144/tan 14º
Hence, tan 14º = 0.24
[tex]x_{B}[/tex] = 144/0.24
[tex]x_{B}[/tex] = 600
So, the distance in feet is of:
d = [tex]x_{A} -x_{B}[/tex]
d = 960 - 600
d = 360
d ≅ 360
Therefore,
A boat is heading towards a lighthouse, then the distance from point AA to point BB ≅ 360 feet.
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What is the value of the expression -38-16-(-23)?
O-31
O-45
O-54
O-77
Answer:
-31
Step-by-step explanation:
[tex]-38-16-(-23) \\ \\ =-38-16+23 \\ \\ =-54+23 \\ \\ =-31[/tex]
PLeaSEE ITS VERY URGENT AND I NEED THESE LAST ONES ASAP WHOEVER GETS IT RIGHT FIRST GETS BRAINLIEST AND 5O POINTS AND A 5 STAR RATING
THANKSSSS
The solution of each of the given exponents are;
1) 10x⁸y⁴/(-6x⁴y⁵) = -5x⁴/3y
2) (-4x³ * x² y⁴)/(-2x³y⁴) = 2x²
3) (3n⁴)² = 9n⁸
4) (5x⁶y⁰)² = 25x¹²
How to use Laws of Exponents?The Laws of Exponents are;
When multiplying like bases, ensure that the base remains the same and that you add the exponents. When making a base with a power to be raised to another power, ensure that the base is kept the same and multiply the exponents. When dividing like bases, ensure that the base is kept the same and subtract the denominator exponent from the numerator exponent.Thus;
1) 10x⁸y⁴/(-6x⁴y⁵) = -(10/6)x⁸⁻⁴y⁴⁻⁵
= -5x⁴/3y
2) (-4x³ * x² y⁴)/(-2x³y⁴)
= (-4/-2)(x⁵⁻³)(y⁴⁻⁴)
= 2x²
3) (3n⁴)² = 3² * n⁴*²
= 9n⁸
4) (5x⁶y⁰)²
= 5²x⁶*²y⁰*²
= 25x¹²
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Answer:
4/ 25x¹²
Step-by-step explanation:
Because y^0 will cancel any thing!
So we have left 5x^6 times 5x^6
Same base so add square root of ^6 = 5x^12
HELP ASAP!!!
i have to reduce the fractions to this equation
The heights of women aged 20 to 29 follow approximately the N(64, 2.56) distribution. Men the same age have heights distributed as N(69.3, 2.65). What percent of young men are shorter than the mean height of young women?
The percent of young men that are shorter than the mean height of young women is 2.5%.
What is a normal distribution?A data set with a normal distribution has the majority of its values clustered in the middle of the range and the remaining values tapering off symmetrically toward either end.
A continuous probability distribution for a real-valued random variable is known as a "normal distribution" in statistics.
Based on the information, the percentage will be calculated thus:
Z = (69.3 - 64) / 2.7 = 1.9630
So P(Z>1.96)= 1-P(Z<1.96)
(check standard normal table)
= 1-0.975
= 0.025
= 2.5%
The percentage is 2.5%.
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what is the area of isoceles triangle
Answer: Area= [tex]\frac{bh_{b} }{2}[/tex]
Example:
Let the base be 3 and the height([tex]h_{b\\}[/tex]) 4
So,
Area= [tex]\frac{3*4}{2\\}[/tex]-->[tex]\frac{12}{2}[/tex]=6
If the parent function f(x)=|x| is transformed to g(x)=|x|+4 what transformation occurs from f(x) to g(x)
For the transformation of parent function f(x)=|x| to the g(x)=|x|+4, the transformation occurred is 4 units upward.
What is method to obtain a new function from parent function?Assume we have a parent function y=f (x). By simply bringing some constant c, one can generate a new function y=g(x) from parent function. The addition of such a constant alters the parent function's behavior, resulting in shifting, reflecting, extending, or reducing its graph. From that, we can claim that a new function evolves with different properties (such as domain as well as range) than the original function.The function transformation / translation principles are as follows: f (x) + b raises the function b units.
f (x) + b shifts a function b units upward.f (x) − b shifts a function b units downward.f (x + b) shifts a function b units to the left.f (x − b) shifts a function b units to the right.−f (x) reflects a function in x-axis (that is, upside-down).The given parent function is; f(x)=|x|
The transformed function is; g(x)=|x|+4
Thus, from the 1st rule of the transformation we can say that the function has shifted 4 units to upward.
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Round 369 962 to the nearest hundred.
Answer:
369,962
Step-by-step explanation:
If the rounding digit is 0, 1, 2, 3, or 4, drop all the digits to the right of it
If the rounding digit is 5, 6, 7, 8, or 9, add one to the rounding digit and drop all digits to the right of it
Juliet brought 506 strawberries and watermelon. A few day later, she found that 1/3 or the strawberries and 10 watermelon were rotten. The remaining number of strawberries and watermelon were in the ratio of 2:1. How many strawberries were rotten?
Answer:
168 straberries was rotten
Step-by-step explanation:
Misty estimated the product of 99 and 2.4 to be 240. She used to estimate.
Answer:
Not 100% sure what it's asking but if it's asking what number she used to estimate the 240, she used 100 because it's one-off 99. The actual number would be 237.6
Step-by-step explanation:
4 to the power of minus 1
Answer:
4^-1 = 0.25
Step-by-step explanation:
Mai wants to make an open-top box by cutting out the corners of a square piece of cardboard and folding up the sides. The cardboard is 10 centimeters by 10 centimeters. The volume () in cubic centimeters of the open-top box is a function of the side length in centimeters of the square cutouts.
Write an expression for ().
What is the volume of the box when =3?
The quantity of space inside a form is measured by its volume.
The volume as a function of side length(x) is: V(x) = 4x³ - 40x² + 100x
What is volume functions?
A three-dimensional space's volume can be calculated. It is frequently quantified numerically by different imperial units or SI-derived units. Volume and length have a mutually reliant relationship.
Given, length of the cardboard = 10 units
Width of the cardboard = 10 units
When side length(x) is removed from the cardboard, the dimension of the box becomes:
Length of the new cardboard = (10 - 2x) units
Width of the new cardboard = (10 - 2x) units
Height of the new cardboard = x units
Therefore, volume of the new cardboard box, V(x)
= Length*Width*Height
= x*(10 - 2x)*(10 - 2x) cubic units
= 100x² - 20x² - 20x² + 4x³
= 4x³ - 40x² + 100x
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Determine the bonus based upon the formula 2 weeks' salary plus 1 percent commission: annual salary: $48,000.00 yearly sales: $76,000.00
The bonus based upon the given formula is $2606.15 approximately
Given,
Annual salary = $48,000
Yearly sales = $76,000
Bonus is given according to the formula:
2 weeks salary + 1 percentage commission
Here,
Annual salary is given as $48,000
We have to find the weekly salary:
There is 52 weeks in a year.
So, salary for one week = Annual salary / number of weeks = 48000/52 = $923.077
Now, salary for two weeks = 923.077 × 2 = $1846.154
Rate of annual commission is 1%
The commission amount:
1% of yearly sales = 1% of 76000 = (1/100) × 76000 = $760
So,
The bonus amount = 2 weeks salary + 1 percentage commission
The bonus amount = 1846.154 + 760
The bonus amount = 2606.154
Therefore, the bonus given based upon the given formula is $2606.154
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What is the value of -3 + |-17|?
Answer:
|-17| = 17, so -3 + |-17| = -3 + 17 = 14
The values of y varies directly with x. If x=8, when y=16. What is the value of y when x=16???
I need help asap
Answer:
y = 32
Step-by-step explanation:
With this problem, we will use the direct variation form, y = kx.
k = proportionality constant.
Substitute the known inputs of x = 8 and y = 16 into the direct variation form:
y = kx turns into 16 = k(8)
Get k by itself by dividing 8 on both sides:
16/8 = k
2 = k
Now that we know the k value is 2, we input everything we know into the direct variation form if x were equal to 16
k = 2
x = 16
y = kx:
y = 2(16), making y equal to 32
y=2/3 x +19 Write the equation that passes through the given point and is parallel to the graph of the given equation
The equation that passes through the given point 2x-3y=0.
Let the point which they pass be the origin (0,0).
From the given equation we get [tex]y= 2/3x + 19[/tex]
On comparing this with the general equation that is [tex]y= mx+c[/tex]
We get [tex]m= 2/3[/tex]
Thus as we know the equation of line is [tex]y-y1 = x-x1[/tex]
Substituting the values in this equation we get;
[tex]y-0= 2/3(x-0)[/tex]
On cross multiplying we get
[tex]3y=2x[/tex] or [tex]2x-3y=0[/tex]
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Anyone know what the answer to this is?
Answer:
lol doofus
Step-by-step explanation:
The length of an island is decreasing at the rate of 17 inches per year. how long will it take for the change in the length of the island to be 255 inches?
Given,
Decrement of 17 inches takes 1 year.
So, Decrement of 1 inches takes [tex]\frac{1}{17}[/tex] year.
therefore, decrement of 255 inches will take [tex]\frac{255}{17}[/tex] years, which is, 15 years.
So, the answer is 15 years.
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