Answer:
5
Step-by-step explanation:
The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.
(Help Please It would be greatly appreciated) Which of these are true statements about the sine function? Choose all that are correct.
Answer:
A is wrong
B is correct
C is correct
D is wrong
E is wrong
F is correct
Step-by-step explanation:
Here, we want to select the correct options about the sine function.
A. is wrong
Let’s use a case of 30 degrees angle
Sin(-30) = -0.5
Sin(30) = 0.5
B is correct
sin(-30) = -0.5
-sin(30) = -0.5
C. C is correct
Sine function is an odd function.
By mathematical definition, we say a function is odd if for any value x of the function; f(-x) = -f(x)
This is obtainable and clear about the sine function from earlier options
D. Is wrong
E. is wrong
F. is correct
The period of the sine function is 2 pi
The period of a function is the time distance between two peaks or crests
Help Me Please!!!!!!!!!!!!!!!!!!!!!!!>..
Answer:
The triangles are similar by SSS.Step-by-step explanation:
We only have the sides of the triangles. Therefore, we can decide if the triangles are similar only by SSS.
If triangles are similar, then corresponding sides make proportion.
We have (let's set the sides in ascending order):
triangle 1: 30, 42 and 51
triangle 2: 10, 14 and 17.
Check:
30 : 10 =3
42 : 14 = 3
51 : 17 = 3
correct
Answer:
SSS
Step-by-step explanation:
[tex] \frac{51}{17} = 3 \\ \frac{30}{10} = 3 \\ \frac{42}{14} = 3 \\ hope \: this \: helps. \: good \: luck[/tex]
MIXED APPLICATIONS
21. In 1960, the average speed of passenger
aircraft within the U.S. was 235 miles per
hour. By 1978 the average speed was 1.74
times that amount. To the nearest whole
number, what was the average speed in 1978?
Help mepleaee
Answer:
Average speed of passenger aircraft in 1978 is 408.9 mph
Step-by-step explanation:
Here, in the question, we are tasked with giving the value of the average speed of the passenger aircraft in the US for the year 1978, given that it is a certain multiple of the value in 1960.
So what we will be doing here is to get the value of the average speed and it can be gotten by multiplying the average speed in 1960 by the multiple to which the speed is, now in 1978.
From the question, we can write a formula for this;
Average speed of passenger aircraft in 1978 = 1.74 * average speed of passenger aircraft in 1960
From the question, we have that the average speed of passenger aircraft in 1960 = 235 mph
Thus,
Average speed of passenger aircraft in 1978 = 1.74 * 235 = 408.9 mph
If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area
Answer:
[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]
Step-by-step explanation:
The formula of a Surface Area of a rectangular prisms:
[tex]SA=2(lw+lh+wh)[/tex]
l - length
w - width
h - height
We have:
[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]
Substitute:
[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]
A 2.5L of coke was shared in the ratio 5:2:3. What is the least amount in milliliters?
Step-by-step explanation:
the least ratio is 2 and the total ratio is 10 therefore the least amount should be two divided by the total ratio multiplying the coke in milliliters (1L = 1000ml)
3. A un hombre le pagan doble el tiempo que trabaja por encima de las 40 horas. La
pasada semana, él trabajó 47 horas y recibió un cheque de $648.00. ¿Cuál es su
salario regular por hora?
Answer: Su salario regular por hora es $12
Step-by-step explanation:
Hola, para resolver este problema debemos plantear una ecuación:
A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.
Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.
Matemáticamente hablando:
40 x+ 7 (2x) = 648
Resolviendo para x (salario regular por hora)
40x +14x =648
54x =648
x = 648/54
x = 12
Rectangle divided into four rectangles. The perimeters of rectangle #1, #2, #3, #4 are 10 cm, 20 cm, 28 cm and 18 cm respectively. Find the perimeter of the big rectangle.
Answer:
Perimeter of big rectangle = 38 units
Step-by-step explanation:
Let the sides of rectangle (1) = a and c cm
Sides of rectangle (2) = b and c cm
Sides of rectangle (3) = b and d cm
Sides of rectangle (4) = a and d cm
Perimeter of (1) = 2(length + width)
2(a + c) = 10
a + c = 5 ---------(1)
Perimeter of (2) = 2(b + c)
2(b + c) = 20
b + c = 10 -------(2)
Perimeter of (3) =2(b + d)
2(b + d) = 28
b + d = 14 --------(3)
Perimeter of (4) = 2(a + d)
2(a + d) = 18
a + d = 9 -------(4)
Since perimeter of the big rectangle = 2(a + b + c + d)
By adding equations (1) + (2) + (3) + (4),
(a + c) + (b + c) + (b + d) + (a + d) = 5 + 10 + 14 + 9
2(a + b + c + d) = 38
Therefore, perimeter of the rectangle ABCD = 38 units
find a quadratic polynomial with the given numbers as the sum and product of it zeroes ⅔, -4
Step-by-step explanation:
sum=2/3 and product=-4
x^2-(sum)x+(product)
x^2-2/3x+(-4)
x^2-2/3x-4
1/3(3x^2-2x-12)
the polynomial is 3x^2-2x-12
Answer:
I hope it is correct ✌️
Please Help me I am struggling a lot and I would be very grateful!!!
A bag contains 2 red beads, 1 yellow bead and 3 green beads. A bead is chosen at random. What is the probability that it is red? a) What is the probability that it is not yellow?
Answer:
Step-by-step explanation:
Total no of beads = 2 + 1 + 3 = 6
No of red beads = 2
p ( red ) = 2/6 = 1/3
No of non - yellow beads = 5
p ( yellow ) = 5/6
Hope this helps
plz mark as brainliest!!!!!!!!
Answer:
Step-by-step explanation:
There are total 6 beads in all.
2) Since there are 5 non-yellow beads, the probability that the bead is not yellow will be 5/6
Since there are 2 red beads, the probability that the bead is red will be 2/6 = 1/3
help me with this
pls
Answer:
reflection from the x-axis
Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge, and be neat. When you are finished, enter the solution set in the box below and turn in your graph paper to your teacher.
Answer:
(-1, 1)
Step-by-step explanation:
The solution is where the 2 graphs intersect.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The speed of a car.
Step-by-step explanation:
All the other answers are discrete.
Answer:
second one
Step-by-step explanation:
The speed of a car is a data that changes over time and it is a countinuous data
While other examples are only discrete data since they contain quantities
Find the smallest number which gives remainders 1, 2, 3, 4, and 5 when divided respectively by 2, 3, 4, 5, and 6.
Answer:
3 3 4 4 5
Step-by-step explanation:
which equation represents a line that is parallel to the y axis, is perpendicular to the x-axts, and has an undefined slope?
o v = 2 + + 3
Answer:
x=7/2
Step-by-step explanation:
Answer:
X=7/2
Step-by-step explanation:
PLZ HELP ME PLZZZ I NEED HELP
Answer:
y = 40.5 cm
Step-by-step explanation:
The total area of the shape is 792 cm²
let's find the area of the four parallelograms
To do that we should calculate the area of the rhombus inside and then substract it from the total area
The area of a rhombus is given by the formula:
A = [tex]\frac{d*d'}{2}[/tex] where d and d' are the diametersLet A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms
A"= A - A' A" = A -[tex]\frac{d*d'}{2}[/tex] A" = 792- [tex]\frac{18*7}{2}[/tex] A" = 729 cm²Let a be the area of the single parallelogram
a = A"/4 since the parallelograms are congruent a = 729/4 a = 182.25 cm²the area of a parallelogram is fiven by the formula :
A = b*h b is the base (here y/2) and h the height (here 18/9)let's find y
a = [tex]\frac{y}{2}[/tex] * 9182.25*2 = y*9 364.5 = y*9 y = 364.5/9 y = 40.5Hannah wants to display all the possible outcomes when rolling two fair 6-sided dice. By drawing a sample space, find the probability of the scores on the two dice adding to 11.
Answer:
1/18
Step-by-step explanation:
First list all the 2 answers that may add up to 11:
5 and 6
6 and 5
There are no more.
Next how many possible outcomes can se get?:
6 x 6 = 36
Thus, the probability = 2/36 = 1/18
The odds of the two dice's results adding up to 11 are 1/18.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
given, Hannah wants to display all the possible outcomes when rolling two fair 6-sided dice.
From the general formula of probability:
Probability = desired outcomes / total possible outcomes
in our case desired outcome = scores on the two dice adding to 11
the desired outcome is getting 6, 5 and 5,6
thus desired outcome = 2
since the dice is 6-sided
total outcome = 6*6 = 36
probability = 2/36
Probability = 1/18
therefore, the probability of the scores on the two dice adding to 11 is 1/18.
Learn more about probability here:
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Who coined the term “fractal”?'
Answer:
Benoit Mandelbrot
Step-by-step explanation:
I googled it.
Answer:
B MANDLEBROT
Step-by-step explanation:
Who coined the term “fractal”?
a.
Sierpinski
c.
Sapoval
b.
Mandlebrot
d.
Amalgamated Research
Suppose ADequalsISubscript m (the mtimesm identity matrix). Show that for any Bold b in set of real numbers R Superscript m, the equation ABold xequalsBold b has a solution. [Hint: Think about the equation ADBold bequalsBold b.] Explain why A cannot have more rows than columns.
Answer:
See Explanation
Step-by-step explanation:
(a)For matrices A and D, given that: [tex]AD=I_m[/tex].
We want to show that [tex]\forall b \in R^m[/tex], Ax=b has a solution.
If Ax=b
Multiply both sides by D
[tex](Ax)D=b \times D\\\implies (AD)x=bD$ (Recall: AD=I_m)\\\implies I_mx=Db $ (Since I_m$ is the m\times m$ identity matrix)\\\implies x=Db[/tex]
This means that the system Ax=b has a solution.
(b)Matrix A has a pivot position in each row where each pivot is a different column. Therefore, A must have at least as many columns as rows.
This means A cannot have more rows than columns.
Please please help me! Here is a graph of y=7-x for values x from 0 to 7.
Answer:
Step-by-step explanation:
hello,
pls find below the graph
we need to find the point of intersection between both lines
which is (4,3)
hope this helps
The solution for the given system of linear equations is (4, 3).
Given that, here is a graph of y=7-x for values x from 0 to 7.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
The given system of linear equations
y=7-x -------(I) and y=x-1 -------(II)
From equation (I) and (II),
7-x=x-1
⇒ 2x=8
⇒ x=4
So, y=7-x=3
Thus, (x, y)=(4, 3)
Therefore, the solution for the given system of linear equations is (4, 3).
To learn more about the graph visit:
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3х
Which expression is equivalent to X+ 1 divided by x + 1?
3х 1
X+1 x+1
1
3х
х+ 1 x+1
3х
х+1
1
Х+ 1
х+1 x+1
3х 1
Answer:
first option
Step-by-step explanation:
Given
[tex]\frac{3x}{x+1}[/tex] ÷ x + 1 = [tex]\frac{3x}{x+1}[/tex] ÷ [tex]\frac{x+1}{1}[/tex]
To perform the division
Leave the first fraction, change division to multiplication and turn the second fraction upside down, that is
= [tex]\frac{3x}{x+1}[/tex] × [tex]\frac{1}{x+1}[/tex]
Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression 3x/x+1 divided by x+1.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 3x/x+1 divided by x+1.
We need to find the equivalent expression of it.
3x/x+1 divided by x+1 can be mathematically written as below
(3x/x+1)/x+1
(3x/x+1) is the numerator and x+1 is in denominator
(3x/x+1)/(x+1/1)
When a fraction is divided by another fraction the denominator is multiplied to numerator as a reciprocal.
(3x/x+1).(1/x+1)
Hence, Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression 3x/x+1 divided by x+1.
To learn more on Expressions click:
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Determine if the equation defines y as a function of x: y2 = x2. yes or no
Answer:
no it's not, since y has two functions , a positive and negative in terms of x.
what are the roots of the polynomial equation x⁴+x³=4x²+4x? use the graphing calculator and a system of equations.
-2,-1,0,2
-2,0,1,2
-1,0
0,1
Answer: A
Step-by-step explanation:
if U is the midpoint of CB, CU=18, and CB= 2x-10, then find x
Answer:
x = 23
Step-by-step explanation:
CU + UB = CB
Since U is the midpoint that means CU = UB = 18
18+ 18 = 2x-10
36 = 2x-10
Add 10 to each side
36+10 = 2x
46 =2x
Divide by 2
23 = x
Answer:
x = 23Step-by-step explanation:
CB/2 = CU
CB = (2)CU
2x - 10 = (2)18
2x - 10 = 36
Add 10 on both sides.
2x = 46
Divide both sides by 2.
x = 23
A student is deriving the quadratic formula. Her first two steps are shown.
Step 1: –c = ax2 + bx
Step 2:
Which best explains or justifies Step 2?
division property of equality
factoring the binomial
completing the square
subtraction property of equality
Answer:
b
Step-by-step explanation:
i got it right
Answer: b
Step-by-step explanation:
its correct
What is the measure of circumscribed ∠X? 45° 50° 90° 95° please answer asap
Answer:
90°
Step-by-step explanation:
Data provided in the question
Angle V = right angle = 90°
YX and WX = tangents,
And YV and WV = radii
So, we can say that
Angle Y = 90°
And,
Angle W = 90°
Now as we know that sum of four interior angles is 360°
So,
the equation is
V + Y + W + X = 360°
90° + 90° + 90° + X = 360°
270° + X = 360
Therefore,
X = 360° - 270°
= 90°
Answer:
c. 90
Step-by-step explanation:
Expanding and Adding Expressions Use the expansion shown to simplify the expression. One-half (3 x minus two-thirds y) + 3 (StartFraction x over 2 EndFraction + one-half y) Equals (one-half) (StartFraction 3 over 1 EndFraction x) + (one-half) (Negative two-thirds y) + (StartFraction 3 over 1 EndFraction) (one-half x) + (StartFraction 3 over 1 EndFraction) (one-half y) Equals (three-halves x) + (negative one-third y) + (three-halves x) + (three-halves y) = 3x + y
Answer:
[tex]3x+\frac{7}{6}y[/tex]
Step-by-step explanation:
To simplify the expression, we first open the parenthesis, then we collect all the like terms. Lastly we simplify the like terms to its simplest form. Given that:
[tex]\frac{1}{2}(3x-\frac{2}{3} y)+3(\frac{x}{2}+\frac{1}{2}y )\\\\Firstly, we\ expand\ the\ parenthesis:\\\\=\frac{1}{2}(3x)-\frac{1}{2}(\frac{2}{3} y)+3\frac{x}{2}+3(\frac{1}{2} y)\\[/tex]
[tex]=\frac{3}{2}x-\frac{1}{3}y +\frac{3}{2}x+\frac{3}{2} y\\\\ Collecting\ like\ terms:\\\\=\frac{3}{2}x+\frac{3}{2}x-\frac{1}{3}y+\frac{3}{2}y\\\\Adding \ terms:\\\\=3x +\frac{7}{6}y[/tex]
Work out the equation of a line which has a gradient of 2 and passes through the point (1,4) plssss help me
Answer:
The equation of the line is
y = 2x + 2
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the gradient
c is the y intercept
From the question m is 2
Equation of the line using point (1,4) is
y - 4 = 2( x - 1)
y - 4 = 2x - 2
y = 2x - 2 + 4
y = 2x + 2
Hope this helps you
Find the reduced row echelon form of the augmented matrix
Answer:
Top row: [1 0 0 1000]
Middle row: [0 1 0 300]
Bottom Row: [0 0 1 0]
Step-by-step explanation:
To put it in RREF form, you need to have only 1's in a diagonal and 0's both top and bottom of the 1's. To get to the forms, you need to multiply and add rows together to solve for RREF.
Matt is a quarterback on the local football team. In the first quarter, Matt threw eight passes. Three passes were completions for gains of 12, 17, and 6 yards, while two passes were completions for losses of 2 yards and 5 yards. The other three passes were incompletions. What was the total accumulated yardage for Matt in the first quarter? Pleeease help I'll award brainliest!!!
Answer:
I think it's 28 yards gained.
Step-by-step explanation:
12 + 17 + 6 = 35
2 + 5 = 7
35 - 7 = 28
Please tell me if I'm wrong