Answer:
0.9317
Step-by-step explanation:
Standard deviation of the weights = [tex]\sigma[/tex]=100 lbs
Mean weight = u = 1200 lbs
We need to find the probability that the weight(x) of a randomly selected steer is between 1000 lbs and 1369 lbs i.e. P(1000 < x < 1369)
Since, weights follow the normal distribution we can use the z values to find the required weight. For this we have to convert both the values to z score. The formula for z scores is:
[tex]z=\frac{x-u}{\sigma}[/tex]
1000 converted to z scores is:
[tex]z=\frac{1000-1200}{100}=-2[/tex]
1369 converted to z scores is:
[tex]z=\frac{1369-1200}{100}=1.69[/tex]
So, we have to find the values from z table that lie between -2 to 1.69
P( 1000 < x < 1369 ) = P(-2 < z < 1.69)
P(-2 < z < 1.69) = P(z < 1.69) - P(z < -2)
From the z table:
P(z < 1.69) = 0.9545
P(z < -2) = 0.0228
So,
P(-2 < z < 1.69) = 0.9545 - 0.0228 = 0.9317
Thus,
P( 1000 < x < 1369 ) = 0.9317
From this we can conclude that:
The probability that the weight of a randomly selected steer is between 1000 lbs and 1369 lbs is 0.9317
Final answer:
The probability that the weight of a randomly selected steer is between 1000lbs and 1369lbs, given a normal distribution with a mean of 1200lbs and standard deviation of 100lbs, is approximately 0.9326 or 93.26%.
Explanation:
To find the probability that the weight of a randomly selected steer is between 1000lbs and 1369lbs, given a normal distribution with a mean (μ) of 1200lbs and a standard deviation (σ) of 100lbs, we first convert the weights into z-scores.
The z-score for a value x is given by the formula:
z = (x - μ) / σ
Calculating the z-scores for both weights:
For 1000lbs: z = (1000 - 1200) / 100 = -2
For 1369lbs: z = (1369 - 1200) / 100 = 1.69
We then look up these z-scores in a standard normal distribution table or use a calculator with statistical functions to find the probabilities for each. The probability for a z-score less than -2 is approximately 0.0228, and for a z-score less than 1.69 is approximately 0.9554.
To find the probability that a steer's weight falls between 1000lbs and 1369lbs, we subtract the smaller probability from the larger probability:
Probability = P(z < 1.69) - P(z < -2) = 0.9554 - 0.0228 = 0.9326
Therefore, the probability that a steer weighs between 1000 and 1369lbs is 0.9326, or 93.26% when rounded to four decimal places.
is 36a^2-9 a difference of squares? a. yes b. no
Answer:
yes
Step-by-step explanation:
The difference of squares is x^2 - y^2 = (x-y) (x+y)
36a^2 = (6a)^2
9 = (3)^2
(6a -3) (6a+3)
This is the difference of squares
The correct answer is a. Yes, 36a² - 9 is a difference of squares
The given expression is [tex]36a^2 - 9[/tex].
To determine if it is a difference of squares we need to identify if it can be written in the form of a² - b², which factorizes to (a + b)(a - b).
We can see that
36a² is a perfect square because it can be written as (6a)² and 9 is also a perfect square because it can be written as 3². Therefore, we can rewrite the expression as:
[tex]36a^2 - 9 = (6a)^2 - 3^2[/tex]
Thus, we can see that the expression 36a² - 9 is a difference of 6a square and 3 square. So, it is indeed a difference of squares.
Answer: a. Yes, 36a² - 9 is a difference of squares
-2
-1
1
2
pls help!!!
Step-by-step explanation:
5^(3b−1) = 5^(b−3)
Since the bases are equal, the exponents must also be equal.
3b − 1 = b − 3
2b = -2
b = -1
The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible
lengths of the third side of the triangle? Round your answer to the nearest tenth.
3.1 inches
3.2 inches
10.0 inches
15.7 inches
Answer:
Option 2 - 3.2 inches.
Step-by-step explanation:
Given : The lengths of two sides of a right triangle are 5 inches and 8 inches.
To find : What is the difference between the two possible lengths of the third side of the triangle?
Solution :
According to question, it is a right angle triangle
Applying Pythagoras theorem,
[tex]H^2=P^2+B^2[/tex]
Where, H is the hypotenuse the longer side of the triangle
P is the perpendicular
B is the base
Assume that H=8 inches and B = 5 inches
Substitute the value in the formula,
[tex]8^2=P^2+5^2[/tex]
[tex]64=P^2+25[/tex]
[tex]P^2=64-25[/tex]
[tex]P^2=39[/tex]
[tex]P=\sqrt{39}[/tex]
[tex]P=6.24[/tex]
Assume that P=8 inches and B = 5 inches
Substitute the value in the formula,
[tex]H^2=8^2+5^2[/tex]
[tex]H^2=64+25[/tex]
[tex]H^2=89[/tex]
[tex]H=\sqrt{89}[/tex]
[tex]H=9.43[/tex]
Therefore, The possible length of the third side of the triangle is
[tex]L=H-P[/tex]
[tex]L=9.43-6.24[/tex]
[tex]L=3.19[/tex]
Therefore, The difference between the two possible lengths of the third side of the triangle is 3.2 inches.
So, Option 2 is correct.
The difference between the two possible lengths of the third side, rounded to the nearest tenth, is:
B. 3.2 inches
To determine the difference between the two possible lengths of the third side of a right triangle with given side lengths of 5 inches and 8 inches, we need to consider both cases where the unknown side could be the hypotenuse or one of the legs. We use the Pythagorean theorem, [tex]\(a^2 + b^2 = c^2\)[/tex].
Case 1: The unknown side is the hypotenuse [tex](\(c\))[/tex]
[tex]\[ c = \sqrt{5^2 + 8^2} = \sqrt{25 + 64} = \sqrt{89} \approx 9.4 \, \text{inches} \][/tex]
Case 2: The unknown side is one of the legs [tex](\(a\) or \(b\))[/tex]
Assume the known hypotenuse is 8 inches. Using the Pythagorean theorem, we solve for the other leg.
[tex]\[ 8^2 = 5^2 + x^2 \][/tex]
[tex]\[ 64 = 25 + x^2 \][/tex]
[tex]\[ x^2 = 64 - 25 \][/tex]
[tex]\[ x^2 = 39 \][/tex]
[tex]\[ x = \sqrt{39} \approx 6.2 \, \text{inches} \][/tex]
Difference between the two possible lengths
The two possible lengths of the third side are approximately 9.4 inches and 6.2 inches. The difference between these lengths is:
[tex]\[ 9.4 - 6.2 = 3.2 \][/tex]
Therefore, the difference between the two possible lengths of the third side, rounded to the nearest tenth, is:
B. 3.2 inches
The correct question is:
The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible
lengths of the third side of the triangle? Round your answer to the nearest tenth.
A. 3.1 inches
B. 3.2 inches
C. 10.0 inches
D. 15.7 inches
Which ordered pairs are in the solution set of linear equalities?
Answer: The first option. (2,2)(3,1)(4,2)
Step-by-step explanation:
The probability that a train leaves on time is 0.8. The probability that the train arrives on time and leaves on time is 0.24. What is the probability that the train arrives on time, given that it leaves on time?
Answer:
Answer is 0.3
Step-by-step explanation:
Let the probability that the train arrives on time. = p
The probability that the train leaves on time = 0.8
The probability that the train leaves on time and arrives on time = 0.24
Then the equation will be:
0.8 * p = 0.24
Move the constant value to the R.H.S
p = 0.24/0.8
p = 0.3
Thus the probability is 0.3....
Volume of prisms, but what is this?
Answer:
left 29226 Right 134
Step-by-step explanation:
volume=base*height
(22*22+(11)^2 *3.14*3/4)*38=29226
((1.4+0.6)*2*0.7+1.4*2*1.4+0.6*1.4+0.6*1.4))* 16=134
Answer:
29,225.78 m^3 to the nearest hundredth.
134.4 m^3.
Step-by-step explanation:
The building:
The area of the floor = area of the square + 3/4 * area of the circle
= 22^2 + 3/4 π 11^2.
The volume of the building =
38 * (22^2 + 3/4 π 11^2)
= 29,225.78 m^3.
The greenhouse:
The sides consist of 2 pairs of trapezoids.
Area of a side = 2 * (0.6/2)(0.7 + 2.1) + 2 * (1.4/2)(2.1 + 2.7)
The length is 16 m so:
Volume = 16 * [ 2 * (0.6/2)(0.7 + 2.1) + 2 * (1.4/2)(2.1 + 2.7) ]
= 134.4 m^3.
y = – x – 6 y = x – 4 solve the system of equations using substition. HELP NEEDED IMMEDITLY!!!!!!!!
Answer:
x=-1 y= -5
Step-by-step explanation:
y = – x – 6
y = x – 4
Substitute into y = -x-6 into the second equation
y =x-4
-x-6 = x-4
Add x to each side
-x-6+x =x-4+x
-6 =2x-4
Add 4 to each side
-6+4 =2x-4+4
-2 = 2x
Divide by 2
-2/2 =2x/2
-1 = x
Now find y
y =-x-6
y = -(-1) -6
y =1-6
y = -5
Answer:
x = -1
y = -5
Step-by-step explanation:
Given:
y = – x – 6 y = x – 4We'd take one of the equations above and substitute it with the y variable:
x - 4 = -x - 6
-x is smaller, so we add x in both sides:
2x - 4 = -6
Add 4 in both sides:
2x = -2
Divide 2 in both sides:
x = -1
Solve for y
y -(-1) - 6 = -5
y = -5
Our answer is x = -1, y = -5
Mark the points with the coordinates (4, 14), (22, 6), and (16, 18). Connect the points to form a triangle.
Answer: Observe the image attached.
Step-by-step explanation:
You have the points (4, 14), (22, 6), and (16, 18).
It is important to remember that he first number of each point is the x-coordinate of that point and the second number of each one of them is the y-coordinate of that point.
Therefore, knowing the above, you can mark each point, as you can observe in the image attached, and then you can connect the points to form the triangle shown in the image.
Finding angles outside of a circle.
Solve for x :))
Answer:
x=6
Step-by-step explanation:
So we have the difference of the intercept arcs divided by 2 is the angle formed by the two tangents there.
So we have
[tex]\frac{(37x+5)-(23x-5)}{2}=5x+17[/tex]
Clear the fraction by multiplying both sides by 2:
[tex](37x+5)-(23x-5)=2(5x+17)[/tex]
Distribute:
[tex]37x+5-23x+5=10x+34[/tex]
Combine like terms on the left hand side:
[tex]37x-23x+5+5=10x+34[/tex]
Simplify:
[tex]14x+10=10x+34[/tex]
Subtract 10x on both sides:
[tex]4x+10=34[/tex]
Subtract 10 on both sides:
[tex]4x=24[/tex]
Divide both sides by 4:
[tex]x=6[/tex]
Answer:
23x -5 + 37x + 5= 360
x = 6
Step-by-step explanation:
A tangent from point P to a circle of radius 4 cm is 10 cm long. Find:
a the distance of P from the centre of the circle
b the size of the angle between the tangent and the line joining P to the centre of the
circle.
Answer:
see explanation
Step-by-step explanation:
a
The tangent and the radius at the point of contact form a right angle
Using Pythagoras' identity on the right triangle formed.
Let x be the distance from the centre to P, then
x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
x = [tex]\sqrt{116}[/tex] ≈ 10.77 cm (to 2 dec. places )
b
let the required angle be Θ, then
Using the sine or cosine ratio in the right triangle.
cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{10}{\sqrt{116} }[/tex]
Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{10}{\sqrt{116} }[/tex] ) ≈ 21.8°
The distance from point P to the center of the circle is approximately 10.77 cm, and the angle between the tangent at P and the line joining P to the center of the circle is 90 degrees.
Explanation:Let's address each part of the question about a tangent to a circle and its properties:
Part a - The Distance of P from the Centre of the CircleWe can visualize a right triangle where one leg is the radius (4 cm), the other leg is the tangent (10 cm), and the hypotenuse is the line from point P to the center of the circle. Using the Pythagorean theorem (a² + b² = c²), we compute the hypotenuse: c² = 4² + 10², so c² = 16 + 100, which means c = √116, and c ≈ 10.77 cm. So, the distance from P to the center of the circle is approximately 10.77 cm.
Part b - The Size of the Angle between the Tangent and the Line Joining P to the CentreAn important property of a tangent to a circle is that it is perpendicular to the radius at the point of contact. Therefore, the angle between the tangent and the radius is 90 degrees. Because we are looking for the angle between the tangent and the line joining P to the center, which is the hypotenuse and also includes the radius, the angle remains 90 degrees.
A reflection of (–4, 5) over the x-axis is located in
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
or no Quadrant
PLEASE HELP!!!!!
Answer:
Quadrant III
Step-by-step explanation:
(-4,5) is in the II quadrant because the x is negative and the y is positive
II I
(-,+) (+,+)
------------------------------------- X axis
III IV
(-,-) (+.-)
reflecting over the x axis means it would be in the third quadrant
In the pendulum formula, we use g=9.8 m/s^2 for the acceleration due to gravity on Earth. But what about on Venus? If an astronaut on the surface of Venus swings a 1-meter long pendulum, and it has a period of 2.11 seconds, what is the acceleration due to gravity, g, on Venus?
Answer:
Option A is the correct answer.
Step-by-step explanation:
Period of simple pendulum is given by the expression,
[tex]T=2\pi \sqrt{\frac{l}{g}}[/tex]
Where l is the length of pendulum, g is acceleration due to gravity.
Here given for Venus
Period, T = 2.11 s
Length of pendulum, l = 1 m
We need to find acceleration due to gravity, g
Substituting
[tex]2.11=2\pi \sqrt{\frac{1}{g}}\\\\\sqrt{g}=\frac{2\pi}{2.11}\\\\g=8.87m/s^2[/tex]
Acceleration due to gravity of Venus = 8.9 m/s²
Option A is the correct answer.
what is 240,567 divided by 67 is 3590
Answer:
Step-by-step explanation:
_____
Good evening ,
_______________
Look at the photo below for the answer.
___
:)
Given the functions f(x) = 2x + 5 and g(x) = x2 + 8, which of the following functions represents f(g(x)] correctly?
1. f[g(x)] = 4x2 + 20x + 32
2. f(g(x)] = 4x2 + 20x + 25
3. f[g(x)) = 2x2 + 16
4. f(g(x)) = 2x2 + 21
Answer:
Choice 4.
Step-by-step explanation:
f(g(x))
Replace g(x) with x^2+8 since g(x)=x^2+8.
f(g(x))
f(x^2+8)
Replace old input,x, in f with new input, (x^2+8).
f(g(x))
f(x^2+8)
2(x^2+8)+5
Distribute:
f(g(x))
f(x^2+8)
2(x^2+8)+5
2x^2+16+5
Combine like terms:
f(g(x))
f(x^2+8)
2(x^2+8)+5
2x^2+16+5
2x^2+21
Answer:
D
Step-by-step explanation:
Took the test
30 POINTS! Consider the system of linear equations and the matrix equations below.
What is the value of x in the equation?
Answer:
Option C is correct.
Step-by-step explanation:
-x+3y=2
4x-2y=22
In matrix form is represented as:
[tex]\left[\begin{array}{cc}-1&3\\4&-2\end{array}\right] \left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}2&22\end{array}\right][/tex]
AX=B
[tex]X = A^{-1}B[/tex]
[tex]A^{-1} = |A|/Adj A[/tex]
|A| = (-1)(-2)-(3)(4)
|A| = 2-12
|A| = -10
Adj A = [tex]\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right][/tex]
A^-1 = -1/10[tex]\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right][/tex]
A^-1 = 1/10[tex]\left[\begin{array}{cc}2&3\\4&1\end{array}\right][/tex]
X= A^-1 B
X = 1/10[tex]\left[\begin{array}{cc}2&3\\4&1\end{array}\right][/tex][tex]\left[\begin{array}{c}2&22\end{array}\right][/tex]
X=1/10[tex]X=1/10\left[\begin{array}{c}2*2+3*22\\4*2+1*22\end{array}\right]\\X=1/10\left[\begin{array}{c}4+66\\8+22\end{array}\right]\\X=1/10\left[\begin{array}{c}70\\30\end{array}\right]\\X=\left[\begin{array}{c}70/10\\30/10\end{array}\right]\\X=\left[\begin{array}{c}7\\3\end{array}\right][/tex]
So, x = 7 and y =3
Hence Option C is correct.
Answer:
7
Step-by-step explanation:
right on edge
Determine what type of model best fits the given situation: A $500 raise in salary each year.
Answer:
A linear modelExplanation:
The type of model that best fits the situation of a $500 raise in a salary each year is a linear model.
In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.
In the given case, the dependent variable is the salary and the independent variable is the year.
You may build a table to show that for increments of 1 year the increments of the salary is $500:
Year Salary Change in year Change in salary
2010 A - -
2011 A + 500 2011 - 2010 = 1 A + 500 - 500 = 500
2012 A + 1,000 2012 - 2011 = 1 A + 1,000 - (A + 500) = 500
So, you can see that every year the salary increases the same amount ($500).
In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).
In this case m = $500 and b is the starting salary: y = 500x + b.
PLEASE DO 41 AND 45!!!!!!
Answer:
see below
Step-by-step explanation:
41
-4 ≤2+4x<0
Subtract 2 from all sides
-4-2 ≤2-2+4x<0-2
-4 ≤2+4x<0
Divide all sides by 4
-6/4 ≤4x/4<-2/4
-3/2 ≤x <-1/2
graph is attached
45
2x-3 ≤-4 or 3x+1 ≥4
Lets solve the left side first
2x-3≤-4
Add 3 to each side
2x-3+3 ≤-4+3
2x ≤-1
Divide by 2
2x/2 ≤-1/2
x ≤-1/2
Now solve the right inequality
3x+1 ≥4
Subtract 1 from each side
3x+1-1 ≥4-1
3x ≥3
Divide by 3
3x/3 ≥3/3
x≥1
So we have
x ≤-1/2 or x≥1
see attached
Notice closed circles where there is a greater than equal to or less than equal to
The area of a triangular-shaped mat is 18 square feet and the base is 3 feet find the height
Answer:
Area is one half base times height. So base times height is 36 then divide out the 3 to get 12.
The height of a triangular-shaped mat with an area of 18 square feet and a base of 3 feet is 12 feet. This is determined using the formula A = 1/2 × base × height, and ensuring the answer has the correct number of significant figures when using different units or measurements.
Explanation:To find the height of a triangular-shaped mat with an area of 18 square feet and a base of 3 feet, we can use the area formula for a triangle: A = 1/2 × base × height. In this case, we need to solve for the height (h).
Area of a triangle = 1/2 × base × height
18 = 1/2 × 3 × height
18 = 1.5 × height
Height = 18 ÷ 1.5
Height = 12 feet
Therefore, the height of the triangle is 12 feet.
Regarding the given examples, when calculating the area of a triangle with different dimensions, remember to convert all measurements to the same unit, typically meters if you need to express in square meters, and then apply the formula A=1/2 × base × height. Ensure the final answer has the correct number of significant figures based on the precision of the given measurements.
Learn more about Calculating Triangle Height here:https://brainly.com/question/21140865
#SPJ2
Which line has a slope of -1/3?
(1) y- {x+2 (3) 3y + x=9
(2) y = 3x + 1 (4) 3y = x + 6
[tex]\bf 3y+x=9\implies 3y=-x+9\implies y=\cfrac{-x+9}{3}\implies y=\cfrac{-x}{3}+\cfrac{9}{3} \\\\\\ y=\stackrel{\stackrel{m}{~\hfill \downarrow }}{-\cfrac{1}{3}} x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
write an inequality to represent the graph?
[tex]y > \frac{2}{5}x - 3 [/tex]
[tex]y < \frac{2}{5}x - 3[/tex]
[tex]y > \frac{5}{2}x - 3[/tex]
[tex]y < \frac{5}{2}x - 3[/tex]
which one is it 1,2,3,or 4 one
Answer:
[tex]\large\boxed{y>\dfrac{5}{2}x-3}[/tex]
Step-by-step explanation:
<, > - dotted line
≤, ≥ - solid line
<, ≤ - shaded region below the line
>, ≥ - shaded region above the line
We have dotted line (<, >) and shaded region above the line (>, ≥).
Therefore your answer is:
[tex]y>\dfrac{2}{5}x-3[/tex] or [tex]y>\dfrac{5}{2}x-3[/tex]
Calculate the slope.
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coordinates of the given points from the graph:
(0, -3) and (2, 2):
[tex]m=\dfrac{2-(-3)}{2-0}=\dfrac{5}{2}[/tex]
iven cos θ=3√3 and sinθ<0 .
What is the value of sinθ
Answer:
177.6683°
Step-by-step explanation:
If Cos ∅=3√3 then,
The angle is therefore the inverse of the cosine.
∅= Cos⁻¹ (3√3)
= 2.3317°
If Sin is less than zero then the angle lies in the second quadrant of the unit circle.
Therefore the angle in question is 180°-2.3317°
=177.6683°
Mrs Richards buys 8 quarts of milk in 4 days .How many gallons of milk does she buy?
Answer: 2 gallons
Step-by-step explanation:
1 gallon = 4 quarts
8 divided by 4= 2
What is the value of x?
x =
Answer:
x = 58
Step-by-step explanation:
The angle 51° outside the circle whose sides are a tangent and a secant is
equal to half the difference of the intercepted arcs, that is
51 = 0.5 (160 - x) ← multiply both sides by 2
160 - x = 102 ( subtract 160 from both sides )
- x = -58 ( multiply both sides by - 1 )
x = 58
Which statements accurately describe the function f(x) = 3 sqrt 18?
algebra II engenuity
Answer:
The statements which accurately describe f(x) are
The domain is all real numbers ⇒ 1st answer
The initial value of 3 ⇒ 3rd answer
The simplified base is 3√2 ⇒ last answer
Step-by-step explanation:
* Lets explain how to solve the problem
- The form of the exponential function is f(x) = a(b)^x, where a is the
initial value , b is the base and x is the exponent
- The values of a and b are constant
- The domain of the function is the values of x which make the function
defined
- The range of the function is the set of values of y that correspond
with the domain
* Lets solve the problem
∵ [tex]f(x)=3(\sqrt{18}) ^{x}[/tex]
- The simplest form of is :
∵ √18 = √(9 × 2) = √9 × √2
∵ √9 = 3
∴ √18 = 3√2
∴ [tex]f(x)=3(3\sqrt{2})^{x}[/tex]
∵ [tex]f(x)=a(b)^{x}[/tex]
∴ a = 3 , b = 3√2
∴ The initial value is 3
∴ The simplified base is 3√2
- The exponent x can be any number
∴ The domain of the function is x = (-∞ , ∞) or {x : x ∈ R}
- There is no value of x makes y = 0 or negative number
∴ The range is y = (0 , ∞) or {y : y > 0}
* Lets find the statements which accurately describe f(x)
# The domain is all real numbers
∵ The domain is {x : x ∈ R}
∴ The domain is all real numbers
# The initial value is 3
∵ a = 3
∵ a is the initial value
∴ The initial value of 3
# The simplified base is 3√2
∵ b = √18
∵ b is the base
∵ The simplified of √18 is 3√2
∴ The simplified base is 3√2
- For more understand look to the attached graph
Which of the following is equal to the rational expression below when x does not equal -5 or 3? 7(x+5)/(x-3)(x+5)
Answer:
Step-by-step explanation:
Rewrite 7(x+5)/(x-3)(x+5) for greater clarity:
7(x+5)
--------------
(x-3)(x+5)
Now cancel the x + 5 terms. We get:
7
-----------
x - 3
Please note: the problem statement mentions "which of the following ..."
This implies that there were answer choices. Please, next time, share those answer choices. Thank you.
[tex]7(x+5)/(x-3)(x+5) for greater clarity:7(x+5)--------------(x-3)(x+5)Now cancel the x + 5 terms. We get: 7----------- x - 3[/tex]
What is not rational expression?No. Yes. A rational algebraic expression (or rational expression) is an algebraic expression that can be written as a quotient of polynomials, such as x2 + 4x + 4. An irrational algebraic expression is one that is not rational, such as √x + 4.
How do you solve rational expressions step by step?
The steps to solve a rational equation are:
Find the common denominator.Multiply everything by the common denominator.Simplify.Check the answer(s) to make sure there isn't an extraneous solution.Learn more about rational expression here: https://brainly.com/question/1928496
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Question 8 of 20 :
Select the best answer for the question
8. Gina decided to order some clothes from a catalogue. She ordered 3 pairs of jeans at $39 each, 4 T-shirts at $15 each, and 2 skirts at
$27 each. What was her total bill?
A. $192
B. $231
C. $117
D. $177
Which of the following segments is a diameter of O?
Answer: B. DE
Since DE spans the entire circle it is the diameter :)
Answer:
B) DE is the diameter.
Step-by-step explanation:
Given : A circle with center O.
To find : Which of the following segments is a diameter of O.
Solution : We have given circle with center O.
Diameter : A straight line passing from side to side through the center of a circle .
So, segment CF and DE are diameter of a circle which are passes through the center O.
Therefore, B) DE is the diameter.
he equations9x-10y=6, 8x-10y=-23, 9x+10y=-16 and 8x+10y=13 are shown on the graph below.
Which is the approximate solution for the system of equations 8x-10y=-23 and 9x+10y=-16?
(–2.3, 0.5)
(–2.5, 1)
(–2.3, –0.5)
(–2.5, –1)
Answer:
(-2.3,0.5)
Step-by-step explanation:
Take the second equation we have y= (-16-9X)/10
Then, we will subtitute the value of y on the first equation
8X - 10(-16-9X/10)=-23
Because 10 is denominator, it will delate with the numeber 10 that is multipling the -16-9X. Then the equation is
8X-(-16-9X)=-23
then: 8x+16+9X=-23 So, 17x=-23-16 => X=-2.3
Then we put the value of X in the first equation so
9 (-2.3) -10y=-16 => 10y=-16+20.7
So, y=0.5
Answer:
A (-2.3,0.5)
Step-by-step explanation:
Square root of 24336 by prime factorization
Answer:
156
Step-by-step explanation:
The prime factorization of 24336 is 2^4*3^2*13^2. The square root of this is the same as dividing the exponent by 2. so 4/2 is and 2/2 is 1. This gives you 2^2*3*13 which is 4*3*13 or 12*13 which is 156.
Find the reference angle given: t = -216º.
Answer:
Step-by-step explanation:
To find the reference angle for an angle given in degrees, you can follow these steps:
Determine the absolute value of the given angle.
If the angle is more significant than 360 degrees, subtract the largest possible multiple of 360 degrees to bring it within the range of 0 to 360 degrees.
If the angle is negative, convert it to a positive angle by adding 360 degrees.
The reference angle is the acute angle formed between the terminal side of the angle and the x-axis.
Let's apply these steps to the given angle t = -216 degrees:
Absolute value of -216: | -216 | = 216 degrees
216 degrees is already within the 0 to 360-degree ranges, so there is no need to subtract any multiple of 360 degrees.
Since the angle is negative, convert it to a positive angle: 216 degrees
The reference angle is the acute angle formed with the terminal side of the angle, which is 216 degrees.
Therefore, the reference angle for t = -216 degrees is 216 degrees.