Answer:
A. 2
Step-by-step explanation:
\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} \)
Use any two points given in the table of values. Let's use (1, 5), (3, 9)
Let,
\( (1, 5) = (x_1, y_1) \)
\( (3, 9) = (x_2, y_2) \)
Plug these values into the slope formula:
\( slope (m) = \frac{9 - 5}{3 - 1} \)
\( slope (m) = \frac{4}{2} \)
\( slope (m) = 2 \)
answer the number 3 only
The values of the variables in number 3, in simplest radical form, are:
f = 6; o = 3.
How to Find the Values of the Variables in the Simplest Radical Form?The simplest radical form, also known as simplified radical form or simplified surd, refers to expressing a square root (√) or other roots in the simplest possible way without any perfect square factors in the root. In other words, it involves reducing the radical expression to its simplest form.
Solving problem 3, we would apply the necessary Trigonometric ratios to find the variables:
sin 60 = opp/hyp
sin 60 = 9√3 / f
f = 9√3 / sin 60
f = 9√3 / √3/2 [sin 60 = √3/2]
f = 9√3 * 2/√3
f = 18/3
f = 6
tan 60 = opp/adj
tan 60 = 9√3 / o
o = 9√3 / tan 60
o = 9√3 / √3 [sin 60 = √3]
o = 9√3 * 1 / √3
o = 9/3
o = 3
Learn more about simplest radical form on:
https://brainly.com/question/29245878
#SPJ1
Answer:
o = 9
f = 18
Step-by-step explanation:
Triangle #3 is a right triangle with two of its interior angles measuring 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, this triangle is a special 30-60-90 triangle.
The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.
Side a is opposite the 30° angle (shortest leg).Side a√3 is opposite the 60° angle (longest leg).Side 2a is the hypotenuse (longest side).In triangle #3, the longest leg is 9√3 units.
As "a√3" is the shortest leg, the scale factor "a" is 9.
The side labelled "o" is the shortest leg opposite the 30° angle. Therefore:
\(o = a=9\)
The side labelled "f" is the hypotenuse of the triangle. Therefore:
\(f= 2a = 2 \cdot 9=18\)
Therefore:
o = 9f = 182+2=
a. 3
b. 5
c. 4
d. 7
Answer:
C
Step-by-step explanation:
2
+2
-----
4
Q6. The diagram shows that a ship sails 34 nautical miles from its port. Then after sailing 19 nautical miles due east, it is directly north of the port. How far is the ship from the port?
the answer is... it might be tricky but the answer is
Please help and explain
Answer:
=\(\frac{x^{12} }{3y^{4} }\)
Step-by-step explanation:
=\(\frac{x^{12} }{3y^{4} }\)
Review the given functions.
j (x) = 51 cosine (x + StartFraction pi Over 2 EndFraction) + 24
k (x) = 51 cosine (x minus StartFraction 3 pi Over 4 EndFraction) + 24
What is the transformation of function j(x) to function k(x)?
a shift left StartFraction pi Over 4 EndFraction units
a shift left StartFraction 5 pi over 4 EndFraction units
a shift right StartFraction pi Over 4 EndFraction units
a shift right StartFraction 5 pi over 4 EndFraction units
Answer:
Option D (fourth choice), a shift right 5 pi/4 units
Step-by-step explanation:
j (x) = 51 cosine (x + StartFraction pi Over 2 EndFraction) + 24
k (x) = 51 cosine (x minus StartFraction 3 pi Over 4 EndFraction) + 24
The answer is the fourth option.
The Required transformation of function j(x) to function k(x) is a shift left StartFraction pi Over 4 EndFraction units.
\(j(x)=51\cos(x+\frac{1}{2}\pi)+24\\k(x)=51\cos(x\ -\ \frac{3}{4}\pi)+24\)
What is transformation?Transformation of equation is defined as the change brought to it by adding some difference.
j (x) = 51 cosine (x + StartFraction pi Over 2 EndFraction) + 24
k (x) = 51 cosine (x minus StartFraction 3 pi Over 4 EndFraction) + 24
Though, clearly seen from above equation that the difference between the cos function of both the equation is
1/2pie-3/4pie=90-135
= -45
= - pie/4
The negative sign shows that the curve of k(x) shifts toward -x axis by -pie/4.
Thus, the Required transformation of function j(x) to function k(x) is a shift left StartFraction pi Over 4 EndFraction units.
Learn more about Transformation here:
https://brainly.com/question/15200241
#SPJ2
A study was conducted to determine if the salaries of the professors from two neighbouring universities were
equal. A sample of 20 professors from each university was randomly selected. The mean from the first university
was $109,100 with a population standard deviation of $2300. The mean from the second university was $110,500
with a population standard deviation of $2100. Assume that the distribution of professor salaries, at both
universities, are approximately normally distributed. Level of significance = 0.05.
Use the four-step P-value approach and test the claim that the salaries from both universities are equal.
Answer:
After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected
As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that
H₀ > z
Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.
Step-by-step explanation:
critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;
reject H₀
There is sufficient evidence to reject the claim.
What is an equation of the line that passes through the point ) (8,−5) and is parallel to the line
5x+4y=24?
By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.
The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.
To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.
Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.
Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.
For more such questions on equation.
https://brainly.com/question/16949303
#SPJ11
Pls help me !! Thanks
Answer:
B. 260
Step-by-step explanation:
perimeter of a rectangle is 2w+2l which when u plug in the values is 260
Shannon is creating a scale drawing of her classroom. If she is using the scale 1/2 inch = 1 foot and the room model is 10 inches by 15 inches, what are the dimensions of the actual room. Please help me!
Answer:
30 foot by 20 foot
Step-by-step explanation:
1 inch = 10 inch
2 foot = d foot
Cross products: 1xd=2x10
d=20foot
1 inch = 15 inch
2 foot = d foot
Cross products: 1xd=2x15
d=30foot
PLEASE HELP!!! Rachel plays a game rolling 2 number cubes numbered 1-6. To win the game she must roll an 11. What is the probability that Rachel will win the game?
Express your answer as a fraction and a percent
Answer:
The probability that Rachel will win the game p(E) = 1/18 =0.055
Step-by-step explanation:
Are all rectangles and squares are parallelograms ?
Answer:
A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
Yes, they are.
Answer:
Yes
Step-by-step explanation:
Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms.
Hope it is helpful....what is z in the equation 5z=4
Answer:
z = 4/5
Step-by-step explanation:
5z / 5 = 4 / 5
z = 4 / 5
Which of the following BEST describes an irrational number?
A.
a number that is a square root
B.
a number that is less than zero
C.
a number that cannot be approximated by a decimal
D.
a number that cannot be written as the ratio of two integers
Answer:
the correct answer is D
explanation:
An irrational number can be expressed as a ratio of two integers. hope this helps
This graph shows a proportional relational between the distance traveled by Tim on a road trip and the number
of hours for which he traveled.
Distance Traveled by Tim
250
200
150
Distance (mi)
100
50
0
10
6 8
Number of Hours
Which statement identifies the correct slope and the correct interpretation of the slope for this situation?
50
A The slope of the line is
1
so the distance traveled by Tim is miles every hour.
50
B The slope of the line is so the distance traveled by Tim is miles every hours.
1
1
The slope of the line is
50
so the distance traveled by Tim is miles every hour.
Using the proportional relationship, it is found that the correct statement regarding the slope of the relation is:
The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality, which is also called the slope.
Researching the problem on the internet, it is found that in 2 hours, Tim traveled 50 miles, hence:
k = 50/2 = 25.
The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.
More can be learned about proportional relationships at https://brainly.com/question/10424180
Hwheuajahabsbsb
(For points)
Answer:
asjjasajsjjsjajsjj (thanxx)
Given that f (x) = 2x + 1 and g(x) = 6 - x, find the following. If necessary, use a 0 in the denominator!
a. ( f + g) (2) = ____________
b. ( f - g) (-5) = ___________
c. ( g - f) (4) = ____________
d. ( f ⋅ g) ( 1/2) = ___________
e. ( f/g) (-1) = _____________
The results of operations between the two functions f(x) = 2 · x + 1 and g(x) = 6 - x are listed below:
(f + g)(2) = 9 (f - g)(- 5) = - 20 (g - f)(4) = - 7 (f · g)(1 / 2) = 11 (f / g)(- 1) = - 1 / 7How to derive and evaluate a composite function
In this problem we have the definitions of two functions, linear equations on both cases. The procedure consists in using the definitions of operations between two functions and evaluate the resulting expression at a given value of x:
Addition
(f + g)(x) = f(x) + g(x)
Subtraction
(f - g)(x) = f(x) - g(x)
Multiplication
(f · g)(x) = f(x) · g(x)
Division
(f / g)(x) = f(x) / g(x)
Now we proceed to derive each expression and evaluate the resulting expression:
(f + g)(x) = (2 · x + 1) + (6 - x)
(f + g)(x) = x + 7
(f + g)(2) = 2 + 7
(f + g)(2) = 9
(f - g)(x) = (2 · x + 1) - (6 - x)
(f - g)(x) = 3 · x - 5
(f - g)(- 5) = 3 · (- 5) - 5
(f - g)(- 5) = - 20
(g - f)(x) = (6 - x) - (2 · x + 1)
(g - f)(x) = - 3 · x + 5
(g - f)(4) = - 3 · 4 + 5
(g - f)(4) = - 7
(f · g) (x) = (2 · x + 1) · (6 - x)
(f · g) (x) = 2 · x · (6 - x) + 6 - x
(f · g) (x) = 12 · x - 2 · x² + 6 - x
(f · g) (x) = - 2 · x² + 11 · x + 6
(f · g)(1 / 2) = - 2 · (1 / 2)² + 11 · (1 / 2) + 6
(f · g)(1 / 2) = 11
(f / g) (x) = (2 · x + 1) / (6 - x)
(f / g)(- 1) = [2 · (- 1) + 1] / [6 - (- 1)]
(f / g)(- 1) = - 1 / 7
To learn more on operations between functions: https://brainly.com/question/27915566
#SPJ1
What are the solutions for this inequality
X/9>9
Answer:
x > 81
In interval notation: (81, ∞)
Step-by-step explanation:
Inequality is
\(\dfrac{X}{9} > 9\)
Multiply both sides by 9:
\(\dfrac{X}{9}\cdot 9 > 9 \cdot 9\\\\\implies X > 81\\\)
The solution set expressed in interval notation is (81, ∞)
Make a rap about why a parallelogram is the best shape. Must be appropriate and at least a minute long. Giving brainless to whoever answers!!!
Ahem, here goes, my attempt at a minute-long rap in praise of the parallelogram:
Yo, listen up, the parallelogram is where it's at,
A shape so brilliant, the angles are sat.
Parallel sides that never converge,
Internal angles that never diverge.
Each side an equal length,
A geometry prodigy's dream length.
The diagonals intersect, another line through the middle they meet,
Creating symmetry so neat.
A rectangle it could be,
But it's oblong, not square, can't you see?
With depth and width in perfect balance we see,
A two-dimensional form of complexity.
While the square is simple, the parallelogram is hip,
A mathematical masterpiece, skip, skip, skip!
four right angles keep the shape so tight,
Parallel lines dominate left and right.
Rotated or reflected without a care,
Its structural integrity beyond compare.
triangles form at each corner you'll note,
Acute or obtuse, depends on the protractor's groove.
A versatile shape with reason and purpose galore,
The parallelogram, simply, carries the floor.
From geometry to art, its angles they intrigue,
As a basis for patterns, its potential we can truly plug.
A forgotten form that deserves more acclaim,
Put the parallelogram on geometry's game!
This shape so underrated, rarely appreciated it seems,
But with logic and virtue, strong foundations it gleams.
The parallelogram, the parallelogram, Hooray!
This is why the parallelogram is the best shape, I say!
What is the surface area of a trapezoid prism with base 1 = 9 and base 2 = 11 and height of 10. the Height of the prism is 10?
Check this answer from the people who have been written this solving question.
Because the answer I founded from the Brainly same question!!
* it's not my answer*
I just wanted to let you know.
But I hope it's helpful and correct answer :)
HELP ME ASAP PLS. If 19,432 divided by x equals 48 with a remainder of 232. What is X?
The value of x, given that when it divides a number, there is a quotient and a remainder, is 400
How to find the value of x?To find the value of divisor, we can use a variant of the division algorithm formula :
Divisor = ( Dividend - Remainder ) / Quotient
x is the divisor
Dividend = 19, 432
Remainder = 232
Quotient = 48
This means that the value of x is:
x = ( 19, 432 - 232 ) / 48
x = 19, 200 / 48
x = 400
In conclusion, x is 400.
Find out more on remainder at https://brainly.com/question/19336517
#SPJ1
what equation results from completing the square and then factoring? x^2+24x=33
a.) (x+24)^2=57
b.) (x+12)^2=57
c.) (x+12)^2=177
d.) (x+24)^=177
The factorisation of the given equation using completing square method is (x+12)²=177. Therefore, option D is correct.
The given equation is x²+24x=33.
We need to factorise the equation using completing the square method.
What is completing the square method?Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary.
Now, x²+24x-33=0
Add and subtract (b/2)²=144 to the equation.
x²+24x-33+144-144=0
⇒x²+24x+144-33-144=0
⇒(x+12)²-177=0
⇒(x+12)²=177
The factorisation of the given equation using completing square method is (x+12)²=177. Therefore, option D is correct.
To learn more about completing the square method visit:
https://brainly.com/question/26107616.
#SPJ2
Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
Learn more about annual interest here : brainly.com/question/15728540
#SPJ1
Find the measures of the interior angles of the triangle.
Help PLZ I’ll give you 15 and mark you most brainlyist
Answer:
<A = 45°
<B = 110°
Step-by-step explanation:
Sum of the interior angles of a triangle = 180°
Therefore,
(x + 65)° + 25° + x° = 180°
Solve for x
x + 65 + 25 + x = 180
Add like terms
2x + 90 = 180
2x = 180 - 90
2x = 90
x = 90/2
x = 45°
✔️x + 65 = 45 + 65 = 110°
<A = x = 45°
<B = 110°
PLEASE PLEASE HELP ME I WILL GIVE BRAINLIEST
Answer:
D
Step-by-step explanation:
-16p + 37 = 49 -21p
-16p +21p = 49 - 37
5p = 12
p = 12/5
A.
-55 + 12p = 5p + 16
7p = 71
p = 71/7
B.
2+1.25p = -3.75p +10
5p = 8
p = 8/5
C.
-14 + 6p = -9 -6p
12p = 5
p = 5/12
D.
1.5p - 5 + 2.25p = 7 - 1.25p
5p = 12
p = 12/5
Answer:
d
Step-by-step explanation:
ddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
Consider the line y = 7x-1.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Hi, there!
______
\(\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}\)
How are the slopes of parallel lines related to each other?How are the slopes of perpendicular lines related to each other?(1)
- The slopes of parallel lines are identical.
{The line \(\sf{y=7x-1}\) has a slope of 7}
Thus,
{The slope of the line that is parallel to the aforementioned line (whatever its equation happens to be) is \(\sf{7}\).}
(2)
- The slopes of perpendicular lines are negative inverses of each other.
The negative inverse of 7 is
\(-\dfrac{1}{7}\).
Therefore,
\(\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}\)
Hope the answer - and explanation - made sense,
happy studying!! \(\tiny\boldsymbol{Frozen \ melody}\)
There are 12 consecutive parking slots available in a hotel parking lot in how many ways can four distinct cars be packed so that at least one parking slot remains vacant between into cars
Answer:
4 different spots
Step-by-step explanation:
12 - 4 spaces in between = 8 spaces
8 spaces / 4 cars = 4 spots
4 spots and 4 cars = 4 different spots for each car
16
The length of a rectangle is 14.5 in and the width is 3.2 in. What is its areA
Answer:
46.4 in ^2
Step-by-step explanation:
We know the area of a rectangle is found by
A = l*w where l is the length and w is the width
A = 14.5 * 3.2
A = 46.4 in ^2
determine if the graph is symmetric about the x-axis the y-axis or the originr=-3+3sintheta
The graph is symmetric about the y-axis.
Given the function is r=-3+3 sin θ.
We want to check the nature of the graph.
A graph is symmetric, if it gives a mirror image of the graph. The condition for the symmetry about x-axis is θ→−θ, about y-axis it is θ→π−θ, and for origin θ→π+θ where the equation does not change.
The graph of the given equation is attached below.
As we saw the graph we get a shape of cardioid.
Cardioid is a curve that is somewhat heart shaped. A cardioid can be drawn by tracing the path of a point on a circle as the circle rolls around a fixed circle of the same radius. The equation is usually written in polar coordinates.
The general equation of cardioid is r = a ± a cos θ (horizontal) or r = a ± a sin θ (vertical).
Hence, the graph of the given equation r=-3+3 sin θ is y-axis.
Learn more about the cardioid from here brainly.com/question/9871887
#SPJ9
What is the slope of the line shown below
Answer:
it's C
Step-by-step explanation:
please mark me as brainliest thank you
company that ships crystal bowls claims that bowls arrive undamaged in 95 percent of the shipments. let the random variable g represent the number of shipments with undamaged bowls in 25 randomly selected shipments. random variable g follows a binomial distribution with a mean of 23.75 shipments and a standard deviation of approximately 1.09 shipments. which of the following is the best interpretation of the mean? Every shipment of 25 bowls will have 23.75 undamaged bowls B Every slypment of 25 bowls will have 2375 damaped bowi, on wege, the company receives 23.25 is before receiving the first her with a domed bowl D For possible shipments of the womberot damaged shipment qual 25 for all possiblemente humber of damaged shoes to 237
None of the given options is a correct interpretation of the mean.
The mean of the binomial distribution represents the expected value of the random variable H. Average number of successes expected over a number of independent trials (in this case, shipments containing undamaged shells). In this case, an average of 23.75 shipments with undamaged trays means that if you ship 25 shipments multiple times, you would expect an average of 23.75 undamaged shipments for each set of 25 shipments means.
This means that every shipment of 25 shells contains exactly 23.75 undamaged shells, or that the company receives 23.75 undamaged shells before receiving the first damaged shell. Not a thing.
The correct interpretation of the mean in this case would be:
"On average, you can expect 23.75 undamaged shells in 25 random shipments."
Read more about this on brainly.com/question/19781328
#SPJ4