Answer: B: Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.
Step-by-step explanation:
Events are independent when the outcome of one does not effect the other. Rolling dice for example: If you roll an even number on your first cube, there is no way that it will effect the roll on the second cube, hence the two events are independent.
The graph of f(x) = 8 - x and line l which is tangent to f at x =1 is
shown in the figure to the right. The equation for line l is y =-3x +10.
Region R is the shaded region between line l, the graph off and the
y-axis while S is the shaded region between line l, the graph off and
the x-axis.
(a) Find the area of the shaded region R.
By taking the integral of the difference between the two given lines, we will see that R = 0.75.
How to find the area of the region R?Notice that the area will be given by the integral of the difference between the line L and our function on the interval [0, 1]
Then we just need to compute:
[tex]R = \int\limits^1_0 {-3x + 10 - (8 - x^3)} \, dx[/tex]
Solving that we will get:
[tex]R = \int\limits^1_0 {-3x + 10 - (8 - x^3)} \, dx = \int\limits^1_0 ({-3x + 10 - 8 + x^3} )dx\\\\\R = \int\limits^1_0 ({-3x + 2 + x^3} )dx\\\\\\[/tex]
[tex]R = \int\limits^1_0 ({-3x + 2 + x^3} )dx\\\\R = \frac{-3}{2}*(1)^2 + 2*1 + \frac{1^4}{4} = 0.75[/tex]
So the area of region R is 0.75 square units.
If you want to learn more about integrals, you can read:
https://brainly.com/question/14502499
Solve for x. Round all answers to the nearest tenth.
11
11.7
10.2
11.9
11.9 - last one
Step-by-step explanation:
Adjacent + hypotenuse = Cos / Cah
Cos32 = x/14
x14
11.87... = x
So, 11.9 to nearest tenth
Hope this helps!
How many sides does a regular polygon have if each interior angle measures 150°?
Answer:
12
Step-by-step explanation:
Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.
Below is the graph of a polynomial function with real coet
of the function are shown in the graph.
m
27
Use the graph to answer the following questions.
(a) Over which intervals is the function increasing? Choose all that apply.
o(-00,-5) o (-5, -2) 0 (-2,2) 0 (2,6) o(-2,6) o (6,00)
(b) At which x-values does the function have local maxima? If there is more than
one value, separate them with commas.
(c) What is the sign of the function's leading coefficient?
(Choose one)
(d) Which of the following is a possibility for the degree of the function? Choose all
that apply.
5
06
08 09
04
07
This question is about Polynomial Functions. The reading below is done using the attached graph.
a) Over which intervals is the function increasing?The function is increasing over the following intervals:
(2,6) Option D; and (-2,6) Option E.b) Yes, the points on the x-axis that has local maxima are:
Point -2, and Point 6.
c) The leading coefficient is negative. The sign is given as:
f(x) → -∞
as x → + ∞
d) The possible degree of the function is:
06- (Option B).
Learn more about Polynomial Functions at:
https://brainly.com/question/2833285
ΔQRS is a right triangle.
Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle.
Select the correct similarity statement.
Answer:
∆QRS is a right triangle
Step-by-step explanation:
correct similarity statement is RST
Answer:
I think its B
Step-by-step explanation:
Edge 2022
Question 3 of 42
What is the y-intercept of the line y= { x-5?
y
O A. Ž
B. 5
C. - 1
D. -5
SUBMIT
Answer:
~Male Y/n here~ I believe your y-intercept would be D. -5.
(Hope this helps!)
need help with the questions below. screenshots are provided. need help asap
Answer:
Step-by-step explanation:
12g - 17 ≥ 17
12g ≥ 34
g ≥ [tex]\frac{34}{12}[/tex]
g ≥ [tex]\frac{17}{6}[/tex]
calvin and susie baked some cookies in the ratio of 3 : 7. calvin baked 60 fewer cookies than susie. how many cookies did they bake altogether?
Answer:
Step-by-step explanation:
Ratio of cakes baked by Calvin and Susie = 3 : 7
Cakes baked by Calvin = 3x
Cakes baked by Susie = 7x
Cakes baked by Calvin = Cakes baked by Susie - 60
3x = 7x - 60
7x - 60 = 3x
7x = 3x + 60
7x - 3x = 60
4x = 60
x = 60/4
x = 15
Cakes baked by Calvin = 3*15 = 45
Cakes baked by Susie = 7 *15 = 105
Total cakes baked = 45 + 105 = 150
They both baked 150 cakes altogether.
Raul threw a football 48 yards. Then, he
threw the ball another 46 yards. Finally, he
threw it another 50 yards. How many
FEET did he throw the ball. (hint: convert
yards to feet)
Answer:
432 ft.
Step-by-step explanation:
Add up the yards he threw the ball, which is 144 yards, and then convert it to feet (1 yd = 3 ft)
Vhat is the probability of flipping a coin 11 times and getting heads 3 times?
Found your answer to the nearest tenth of a percent.
Answer:
the answer should be 21 if it's there if I'm wrong let me know
What is the absolute
value for:
|-771
Answer:
771 is the absolute value of -771.
Step-by-step explanation:
The absolute value is the distance of that number from 0. Therefore, negative or not, the number shown will always be the positive number that it is.
Examples:
|-8| = 8.
|2|=2
|-9912|=9912
|236|=236
Continued explanation:
Because the absolute value is the distance of that number from zero, the value will always be positive. And then the distance is going to be the same number.
I hope this helps!
-No one
Use the open number line to find the difference.
423 – 160 = ____
An open number line is shown. A hop to the left of negative 100 begins at 423. A second hop to the left of negative 50 begins where the first hop ends. A third hop to the left of negative 10 begins where the second hop ends.
A.
363
B.
360
C.
263
D.
260
Find the area of the figure
Answer:
100 mm
Step-by-step explanation:
this right awnser
Answer:
Formula for area of circle (since two semi circles form a full circle);
a = π[tex]r^{2}[/tex]
First, figure out our radius,
D/2 = Radius
10/2 = 5 is our radius.
Plug in your values:
a = π[tex]r^{2}[/tex]
a = 3.14(5^5)
a = 3.14(25)
a = 78.5 is the area of the two semi circles.
Now the square;
A = L x W
A = 10(10)
A = 100.
Add your areas;
78.5 + 100
= 178.5 mm2
I will give brainliest if you answer these 10 questions :) 1.Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after dropping them off. How long is Jill traveling roundtrip?
A. 9 miles
B. 12 miles
C. 18 miles
D. 27 miles
2.Jill leaves her house and goes to pick up a friend from the airport, drops the friend at City Hall. What is the shortest distance Jill travels?
A. 16 miles
B. 25 miles
C. 48 miles
D. 54 miles
3.Jill leaves work from the High School, but has to pick up her friend at the airport before going back home. What is the shortest distance she can travel?
A. 27 miles
B. 21 miles
C. 56 miles
D. 84 miles
4.Mary works at the Elementary School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Elementary School. How far did Mary travel if she took the shortest route?
A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles
5.What is the shortest distance Jill can travel is she leaves her house, goes to City Hall, to the Post Office, and then returns home?
A. 9 miles
B. 16 miles
C. 38 miles
D. 48 miles
6.Mary works at the Middle School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Middle School. How far did Mary travel if she took the shortest route?
A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles
7.Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels roundtrip?
A. 11 miles
B. 12 miles
C. 22 miles
D. 33 miles
8.Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after dropping them off. How long is Jill traveling before going back home?
A. 9 miles
B. 12 miles
C. 18 miles
D. 27 miles
9.Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels one way to get to work?
A. 11 miles
B. 12 miles
C. 22 miles
D. 33 miles
10.What is the shortest distance Jill can travel if she leaves her house, goes to the post office, to the grocery store, and then returns home?
A. 15 miles
B. 28 miles
C. 45 miles
D. 60 miles
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer: [tex]\frac{3}{2}x+y=-\frac{17}{2}[/tex]
Step-by-step explanation:
The standard form of a linear equation is [tex]ax+by=c[/tex]
So we need to solve for c
Start by simplifying everything in the equation
[tex]y+7=-\frac{3}{2} (x+1)[/tex]
Use the Distributive Property
[tex]y+7=-\frac{3}{2}x-\frac{3}{2}[/tex]
Now subtract 7 from both sides
[tex]y+7=-\frac{3}{2}x-\frac{3}{2}\\y+7-7=-\frac{3}{2}x-\frac{3}{2}-7\\y=-\frac{3}{2}x-\frac{17}{2}[/tex]
Add [tex]\frac{3}{2} x[/tex] to both sides
[tex]y+\frac{3}{2}x=-\frac{3}{2}x+\frac{3}{2}x-\frac{17}{2}\\\frac{3}{2}x+y=-\frac{17}{2}[/tex]
NOTE: [tex]-\frac{17}{2}[/tex] simplifies to -8.5 if you find that more desirable
Jerry and Nadine had dinner at a Chinese restaurant. They left a 15% tip that was 2.70. How much did the meal cost before the tip?
Answer:
18 I believe
Step-by-step explanation:
when you do 2.70 divided by 15% you get 18 and if you do 18 times 15% you get 2.70 so I think it is 18
Help me out please, should be easy
Answer:
I'm pretty sure the points are plotted at (-1,-2) but I'm not exactly sure. Correct me if I'm wrong! :D
A rare species of insect was discovered in the rain forest. In order to protect the species,
environmentalists declare the insect endangered and transplant the insects into a protected area.
The population of the insect t months after being transplanted is given by P(t).
P(t) =
60(1+0.4)
0.01t+3
a. How many insects were discovered? In other words, what was the population when t = 0?
b. What will the population be after 5 years? Round to the nearest whole insect.
Using the given function, it is found that:
a) 20 insects were discovered.
b) The population after 5 years will be of 417 insects.
What is the function for the number of insects after t months?As stated in the exercise, it is given by:
[tex]P(t) = \frac{60(1 + 0.4t)}{0.01t + 3}[/tex]
Item a:
[tex]P(0) = \frac{60[1 + 0.4(0)]}{0.01(0) + 3} = \frac{60}{3} = 20[/tex]
20 insects were discovered.
Item b:
5 years = 60 months, hence:
[tex]P(60) = \frac{60[1 + 0.4(60)]}{0.01(60) + 3} \approx 417[/tex]
The population after 5 years will be of 417 insects.
More can be learned about functions at https://brainly.com/question/25537936
Carrie uses her phone primarily to take a lot of selfies. The storage space on her phone is limited, so Carrie needs to keep track of how many selfies she takes.
There is a proportional relationship between the number of selfies Carrie takes, x, and the amount of storage (in megabytes) she uses taking selfies, y.
x (selfies) y (megabytes)
10 20
12 24
21 42
22 44
Write an equation for the relationship between x and y. Simplify any fractions.
y=
Explanation:
A direct proportion is of the form y = kx
To find k, pick any row to divide the y over x value
k = y/x = 20/10 = 2k = y/x = 24/12 = 2k = y/x = 42/21 = 2k = y/x = 44/22 = 2No matter which row you go for, the constant of proportionality is 2. Meaning that we double the x value to get to y.
Therefore, we go from y = kx to y = 2x
enter the correct value in each box to write the equation of the trend line in slope-intercept form
Answer:
y = -3x +15
Step-by-step explanation:
(2,9) (4,3)
slope is -6/2 or -3
use slope intercept form to solve for y-intercept
y = mx + b
9 = (-3)(2) + b
9 = -6 + b
15 = b
y = -3x + 15
(7 point)
13. Amir posts on social media frequently, while Naomi posts rarely. Their number of posts over
the last six days are given in the table below. Compare the spreads of the data sets using both
range and IQR
Amir Naomi
15
2
12
4
14
10
16
2
15
3
19
0
The number of social media post of Noami has a greater spread when compared to that of Amir.
What is the range and intequartile range of the social media posts?Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
The range of Amir's social media posts = 19 - 15 = 4 The range of Noami's social media posts = 10 - 0 = 10The inter quartile range is the difference between the third quartile and the first quartile of a data set.
IQR = Q3 - Q1
The IQR of Amir's social media posts: 7
The IQR of Naomi's social media posts = 10
To learn more about range, please check: https://brainly.com/question/12372689
Answer:
Naomi"s data set has more spread since her range is 10 and her IQR is 3.
Step-by-step explanation:
Range IQR
12,14,15,15,16,19 16-14=2
0,2,2,4,5,10 5-2=3
19-12=7 10-0=10
What is the Area of this shape?
14 * 12 = 168
(12*8) / 2 = 48
216 cm ^2
Answer:
1,344 cm counting the side shape or 168 cm counting only the rectangle.
Step-by-step explanation:
14 cm x 12 cm = 168cm
168 x 8 = 1,344 cm
HELPPP 50pts !!!!!!!!!!!
Answer:
44462, 1462
Step-by-step explanation:
multiply 43000 by 1.034% and get the answers
Increase:-
[tex]\\ \rm\Rrightarrow 0.034(43000)[/tex]
[tex]\\ \rm\Rrightarrow 1462\$[/tex]
New price
[tex]\\ \rm\Rrightarrow 43000+1462[/tex]
[tex]\\ \rm\Rrightarrow 44462\$[/tex]
What is the factorization of the trinomial below?
x^3 - 12x^2 + 35x
A. (x - 7)(x + 5)
B. x(x - 7)(x - 5)
C. (x^2 - 7)(x + 5)
D. x(x - 7)(x + 5)
Please help 300 points
Answer:
4x + 9 ≥ 0
Step-by-step explanation:
The inside of the square root, the radicand, cannot be negative.
It can only be zero or positive.
Zero or positive is also described as being greater than or equal to 0.
Set the radicand to be greater than or equal to zero.
4x + 9 ≥ 0
Answer:
4x+9>=0
Step-by-step explanation:
The domain of a square root is that it can’t be less than 0. So we have the equation 4x+9>=0.
Solve by substitution.
2x +y = 9
(3x – 4y = 8
-
=
Answer:
Step-by-step explanation:
Working with the top equation, subtract 2x from both sides.
y = 9 - 2x
Put this value for y in the second equation
3x - 4(9 - 2x) = 8 Remove the brackets
3x -36 + 8x = 8 Add 36 to both sides
3x + 8x = 8 + 36 Combine
11x = 44 Divide by 11
x = 4
2x + y = 9
2*4 + y = 9
8 + y = 9 Subtract 8 from both sides
y = 9-8
y = 1
Answerx = 4y = 1LOTS OF POINTS + BRAINLIEST
Suppose p and q are both prime numbers with p > q. Prove that p-q and p+q cannot both be positive perfect squares.
FULL PROOF REQUIRED.
Answer:
The list od prime number is a quadratic sequence, each time going up by n + 2. for example, 1, 4, 9, 16, 25. they are going up by 3, then + 2 and add 2 every step. The sequence is always going up by an odd number. a negative number take away a negative number always gives you a positive number, likewise, adding does too. Therefore, you can not get both of them to fit into the sequence of increasing odd numbers.
Round to the nearest tenth, I will give brainlyest PLEASE
1. cos B= a/x
x= 11/cos 37°
x= 13.77
2. tan A= a/x
x= 4/tan 41°
x= 4.60
3. sin B = x/c
x= sin 37° × 10.3
x= 6.20
4. tan A= a/b
tan A= 4/13
A= tan-1(0.31)
A= 17°6'10"
5. cos A= b/c
cos A= 12/13
A= cos -¹(0.92)
A= 22°37'12"
6. tan B= a/b
tan B= 3/3
tan B= 1
B= tan‐¹(1)
B= 45°
A farmer ploughts his lands in 12 days if he use 5 tractors ow long will it if he uses 3 tractors?
Answer:
Step-by-step explanation:
By proportion it will be (5/3) * 12
= 60/3
= 20 days.
the original price: $75 and percent of discount :30% what’s the
Answer:
The discount is 22.50 and the final price $52.50
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 75 × 30/100
Discount = 75 x 0.3
You save = $22.50
Final Price = Original Price - Discount
Final Price = 75 - 22.5
Final Price = $52.50