Answer:
rate of change=5
Step-by-step explanation:
Hi there!
The rate of change (or the slope) is calculated from two points with the formula (y2-y1)/(x2-x1)
we are given two points: (1,-1), and (2,4)
let's label the points, to avoid confusion:
x1=1
y1=-1
x2=2
y2=4
now substitute into the formula:
*note: remember that we are subtracting the negative numbers. When it's simplified, we add the numbers.
rate of change=(4--1)/(2-1)
simplify:
rate of change=(4+1)/(2-1)
rate of change=5/1
rate of change=5
Hope this helps!
Prove
Tan(x)+cot(x)=sec(x)/sin(x)
Answer:
Step-by-step explanation:
tanx + cotx = secx / sinx
take left hand side
=tanx + cotx
=sinx/cosx + cosx/sinx
=sinx*sinx+cosx*cosx/sinx*cosx
=sin^2x + cos^2x/sinx*cosx
=1/sinx*cosx
=1/cosx * 1/sinx
=secx/sinx
at second last step i changed multiplication sign into divide sign and write the reciprocal of 1/sinx which is sinx.
El número de rebanadas de pizza que se comió cada persona en la fiesta de cumpleaños Elian son: 3,4,5,2,1,4,5,3,2,1,0,2,3,4,6. Media: Moda: Mediana:
Respuesta:
Modo = 2, 3, 4
Mediana = 3
Media = 3
Explicación paso a paso:
Dados los datos:
3,4,5,2,1,4,5,3,2,1,0,2,3,4,6
Datos pedidos: 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6
La media = ΣX / n = 45/15 = 3
Donde n = tamaño de la muestra = 15
Mediana = 1/2 * (n + 1) th término
Mediana = 1/2 (16) término
Mediana = octavo término
Mediana = 3
Modo = 2, 3, 4 (el más alto ocurre con una frecuencia de 3 cada uno)
Find the probability that a randomly
selected point within the circle falls
in the red shaded area (Square).
r = 4 cm
4√2 cm
[?]%
Round to the nearest tenth of a percent.
Enter
Answer:
63.7 I believe to be the answer
The required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.
A figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).
radius = 4 cm
side of square = 4√2 cm
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Area of the circle = πr²
= 3.14 * 4²
= 50.24 cm²
Area of the square = side * side
= 4√2 * 4√2
= 32 cm²
Now the probability that a randomly selected point within the circle falls in the red shaded area (Square).
= Area of square / Area of the circle
= 32 / 50.24
= 0.636 or 63.6%
Thus, the required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
Which triangle has hypotenuse Side B D?
A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
triangle BDA
triangle BDF
triangle BDG
triangle BDH
Answer:
BDA
Step-by-step explanation:
Answer:
A). BDA
im doing the test rn
Step-by-step explanation:
What would be the surface area?
Answer:
7&2 = 49
49 x 3.14 x 2(there are two circles) = 307.72
Now we find the lateral surface area, we need to find circumference first:
2 x 3.14 x 7 = 43.96
Now we need to multiply by the height:
43.96 x 11 = 483.56
Now lets add our areas:
483.56 + 307.72 = 791.28 m^2 is your answer.
The sails of two boats are pictured below. What is the value of y?
Answer:
C 70
Step-by-step explanation:
since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.
remember, the sum of all angles in a triangle is always 180 degrees.
so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore
y = 180 - 90 - 20 = 70
Violet buys a premium sound system that is on sale for 40% off the original price. The original price is $224 more than the sale price
Answer:
The original price was of $560, while the sales price was of 560 - 224 = $336.
Step-by-step explanation:
Original price:
x
Sales price:
224 less than the sales price, that is:
x - 224.
On sale fo 40% of the original price:
So the sales price is 100 - 40 = 60% = 0.6 of the original price. That means that:
[tex]x - 224 = 0.6x[/tex]
[tex]0.4x = 224[/tex]
[tex]x = \frac{224}{0.4}[/tex]
[tex]x = 560[/tex]
The original price was of $560, while the sales price was of 560 - 224 = $336.
There are 250 students in a class the ratio of boys to girls is 3:2 how many boys are there?
Answer:
total no of children = 250
let no.of boys be = 3x
let no.of girls be = 2x
equation = 3x+2x= 250
= 5x= 250
= x= 250\5
= x= 50
so, no,of boys = 3x = 3x50 = 150
and no,of boys = 2x = 2x50 = 100
heres ur ans ,
hope it does help u !
if so plz mrk the brainliestt !!!!!
Lauren is given a 12% pay rise.Her new salary is £24,080. What was Lauren's salary before the pay rise?
Answer:
The base salary was £21,500.
Step-by-step explanation:
Giving the following information:
Increase rate (g)= 12%
New salary= £24,080
To calculate the base salary, we need to use the following formula:
Base salary= new salary / (1 + increase rate)
Base salary= 24,080 / (1.12)
Base salary= £21,500
The base salary was £21,500.
Round 81.469 to 1 decimal place.
81.469 correct to one Decimal place is 81.5
Hope This Helps You ❤️?????????????!!!!!!!!!
Answer:
B
Step-by-step explanation:
The probability of saving a penalty kick from the opposing team is .617 for a soccer goalie. If 7 penalty kicks are shot at the goal, what is the probability
Answer:
0.2754
Step-by-step explanation:
Probability of saving a penalty kick = 0.617
p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383
number of trials, n = 7
Number of saves, x = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 5) = 7C5 * 0.617^5 * 0.383^2
P(x = 5) = 21 * 0.0894181 * 0.146689
P(x = 5) = 0.2754
20. A movie streaming website charges an initial fee of $120, plus $5 for each movie that is
streamed. How many movies must be streamed for the average cost per movie to fall to $7?
a. 10 movies
b. 60 movies
c. 25 movies
d. 120 movies
Answer: b. 60 movies
Step-by-step explanation:
60 * $5= $300
$300+$120= $420
$420/60= $7
shira was riding the screamer when it broke down. her seat was 53 jorizontal feet from the central support pole. What was her seat's angle of rtation. Is there more tahn one possible solutions
Answer:
The possible solutions are 58 degree, 122 degrees, 302 degrees and 238 degrees
Step-by-step explanation:
Please see the attachment
From the figure, it is evident that
cos AOB = OB/OA = 53/100 = 0.53
Thus, cos-1 (0.53) = 58 degrees
AOB = 58 degree
Also, there are can be other values depending on the quadrants
COB = 180 -58 = 122 degrees
FOB = 360 -58 = 302 degrees
EOB = 180 + 58 = 238 degrees
what number is equal to 3 thousands+ 7 tens+ 5 ones
Answer:
3075
Step-by-step explanation:
There is 3 thousands so 3,000 no hundreds so 0 then 7 tens,70, then 5 one,5, so 3075
Answer:
3,075
Step-by-step explanation:
3 thousands = 3,000
0 hundreds = 0
7 tens = 70
5 ones = 5
The mean area µ of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. The appropriate null and alternative hypotheses, H0 and Ha, for this test are
Answer:
The appropriate null hypothesis is [tex]H_0: \mu = 1250[/tex]
The appropriate alternate hypothesis is [tex]H_a: \mu < 1250[/tex]
Step-by-step explanation:
At the null hypothesis, we test if the mean area is the advertised area of 1250 square feet, that is:
[tex]H_0: \mu = 1250[/tex]
A tenant group thinks that the apartments are smaller than advertised.
Smaller, thus, at the alternate hypothesis, we test if the mean area is less than the advertised area of 1250 square feet, that is:
[tex]H_a: \mu < 1250[/tex]
What is the value of a for the following circle in general form?
x2 + y² + ax + by+c=0
Can someone help me with this pls, is super important
The number that you will be rounding is: 5764.357894
Round this number in these 4 ways to the nearest:
1)ten
2)tenths
3)hundred
4)hundredths
Answer:
Rounded to the nearest ten, 5760
Rounded to the nearest tenth, 5764.4
Rounded to the nearest hundred, 5800
Rounded to the nearest hundredths, 5764.36
Step-by-step explanation:
Can someone isolate the variable “n” and show steps?
Answer:
n= s/180 +2
Step-by-step explanation:
s=(n-2)180
/180
s/180=n-2
+2
s/180 +2 =n
Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?
6/3
b.) 1/2
c.) 2/3
d.) 1/3
Answer:
1/3
Step-by-step explanation:
3 is a multiple of 3 itself so that's 1. 6 is also a multiple of 3 so that's 2 out of 6 in other terms 2/6. 2/6 simplified is 1/3 so he also has 1/3 of a chance of rolling a digit that is a multiple of 3.
Here are the first five terms of an arithmetic sequence.
26 19 12 5 -2
Find an expression, in terms of n, for the nth term of this sequence.
(I know part of it is -7n but I'm not sure if it would be 26 or -5 or what for the other part)
Tyyyyy <3
Answer:y=-7n+33
Step-by-step explanation:
what are m4 and m1.............................................
Answer:
m<1 = 136
m<4 = 44
Step-by-step explanation:
Exterior angle thm:
<2 + <3 = <4
4x + 2 + 5x - 3 = 8x + 4
9x - 1 = 8x + 4
9x - 8x = 4 + 1
x = 5
m<4:
8x + 4
8(5) + 4
40 + 4
44
m<1 and m<4 are supplementary (they add up to 180) so:
m<1 + m<4 = 180
m<1 + 44 = 180
m<1 = 136
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
List the integer solutions of: -3 < 2e ≤ 8.
9514 1404 393
Answer:
{-1, 0, 1, 2, 3, 4}
Step-by-step explanation:
Divide by 2 to find the solution.
-3/2 < e ≤ 4
The integer solutions are ...
{-1, 0, 1, 2, 3, 4}
Step-by-step explanation:
-3 < 2e ≤ 8
devided by 2
-3/2 < e ≤ 4
so, the integers are : { -1,0,1,2,3,4}
Tim wants to buy a new sound system for $145. He has already saved $65. He gets $20 for each lawn that he mows.
Answer:
4 Lawns
Step-by-step explanation:
Tim need to mow four lawns.
145 - 65 = 80
80 / 20 = 4
G
100%
Calculate the area of the parallelogram, in mề.
40 m
15 m
25 m
10 m
30 m
A. 250 m2
B. 450 m2
OC. 600 m²
OD. 900 m²
O E. 1000 m
Answer:
C. 600 m²
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. Opposite sides and angles of a parallelogram are equal to each other. Also, the diagonals are equal.
The area of a parallelogram is the product of its base and its height. It is given by the formula:
Area = base * height
We can see that for this parallelogram, the height = 15 m, the base = 40 m, hence:
Area = base * height = 40 m * 15 m = 600 m²
4q^2 - (qr + 25) if q = 6 and r = 19
Learning task 1.
Look around inside your house, illustrate five (5) thigs which represents a circle
i will make you brainlest if u answer this properly
Help please asap tysm! 10 brainly points! Will mark brainliest if you put in a random answer you will be reported! Tysm! <3 Need this asap please tysm!
Answer:
The surface area of the prism is 276 in.²
If you are also looking for the volume of the prism, it is 280.
Step-by-step explanation:
It's hard to find the surface area and the volume of the prism if you're just looking at the net of the 3D shape. There are some unnecessary measurements that will definitely throw you off. I drew a sample prism so it's easier to solve. Check the linked image.
The formula in finding the surface area of a prism is SA = 2(wl + hl + hw), where w is for width, l is for length, and h is for height. The point of all of these calculations is to find the area of 3 different faces of the prism and then you add up all of the areas and multiply the sum by 2 to give you the surface area. Looks a lot but it's worth getting the answer right.
The formula in finding the volume of the prism is V = w * h * l, where w is for width, h is for height, and l is for length. Simple multiplication of 3 different sides and you'll get the volume. I hope this helps and if I am wrong please let me know! :D
Answers:
Surface Area = 276 square inchesVolume = 280 cubic inches==========================================================
Explanation:
It might help to draw this out on paper, cut the figure out, and fold along the lines to form a 3D box.
Check out the diagram below. In steps 1 through 4, we go from a flat 2D net to a 3D box. Steps 2 and 3 basically are just intermediate steps to show the folding process. If this was done with an animation, it might look better (you'll have to use your imagination a bit).
The letters A through F in red should help us see how the flat 2D figure connects to the 3D one. For me, it helps to picture a room. The floor is face B, the ceiling is E, and so on.
Anyways, once we get the 3D box, it has the following dimensions:
L = length = 10 inchesW = width = 7 inchesH = height = 4 inchesThe order of length, width and height doesn't matter.
Once we know these values, we can plug them into the formulas below
SA = 2(LW+LH+WH)V = LWHwhere SA and V are the surface area and volume respectively.
--------------------
So,
SA = 2(LW+LH+WH)
SA = 2(10*7 + 10*4 + 7*4)
SA = 2*(70+40+28)
SA = 2*138
SA = 276 square inches is the surface area
and,
V = L*W*H
V = 10*7*4
V = 280 cubic inches is the volume
--------------------
As an alternative way to get the surface area, you can compute the areas of rectangles A through F, and then add up those areas to get the overall surface area.
It's a bit interesting how the surface area and volume are almost nearly the same number. Though that could be a coincidence.