69 pounds of trash I think
Answer:
6 pounds
Step-by-step explanation:
2 pounds per hour
What is P(A, B, and C)? They are independent.
P(A) = .66
P(B) = .52
P(C) = .78
If each of A, B, and C are mutually independent, then
P(A and B and C) = P(A) P(B) P(C)
so that the probability of the three-way intersection is
P(A and B and C) = 0.66 × 0.52 × 0.78 = 0.267696 ≈ 0.27
In circle O below, segment RA is a diameter, arc RP = 98 degrees, and arc RQ = 68 degrees. Find the
measure of the indicated angle m<2=
Answer:
90°.
Step-by-step explanation:
if AR is diameter and the angle ∠AOR (it's m∠2) is based on this diameter, then its measure is 90°. It is central angle.
Please help!! Detailed steps please! Thank you so much
Which equation is equivalalent to 2x²-24x-14=0
A. (x-6)²=50 B. (x-3)²=13 C. (x-3)²=20 D. (x-6)²=43
Answer:
D
Step-by-step explanation:
2x²-24x-14=0
2(x²-12x-7)=0
x²-12x-7=0
Expand A, B, C, D
A. (x-6)²=50 => x²-12x+36=50 => x²-12x-14=0 [not correct]
actually from here you can see B, C are not correct
D. (x-6)²=43 => x²-12x+36=43 => x²-12x-7=0 [correct)
PLEASE HELP NOW!!
Jada cuts out a rectangular piece of paper that measures 5x4 inches.
Han cuts out a paper sector of a circle with radius 5 inches and calculates the arclength to be 2 TT.
Answer:
Formula for arc length =
arc length = r θ where θ is in radians
So we have
2pi = 5 θ solve for θ and we have that
θ = [ 2 pi ] / 5
The area of the sector =
(1/2) r^2 θ = (1/2)(5^2) (2pi) / 5 = 5 pi in^2 ≈ 15.7 in ^2
The rectangular shape has more area = (5 * 4) = 20 in ^2
Step-by-step explanation:
I don't think this will help but hope it does
Students were asked to choose their favorite season and 6/9 chose either spring or summer. If 5/9 chose spring, what fraction chose summer?
The fraction of people who chose summer is 1/9.
What is a Fraction ?Fraction is a number that represents the part of the whole.
It is given that
The fraction of people who chose either spring or summer = 6/9
This can also be represented as P( Spring ∪ Summer) = 6/9
P( Spring ∪ Summer) = P( Spring ) + P( Summer) ---------- (1)
It is also given that
The fraction of people who chose spring = 5/9
The fraction of people who chose summer = ?
From the equation 1
6/9 = 5/9 + P( Summer)
P( Summer) = 1/9
Therefore , The fraction of people who chose summer is 1/9.
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Two consecutive integers have a sum of 55. Find the integers.
0.0
Х
?
Answer:
27 and 28
Step-by-step explanation:
x+x+1=55
2x+1=55
2x=55-1
2x=54
divide each side by 2
x=27
x+1=28
check your answer adding the two integers
27+28=55
8. A woman decides to go for a 10-minute run every day this week and plans to increase the time of her daily run by 4 minutes each week. Write a formula for the time of her run after n weeks. How long will her daily run be 8 weeks from today?
Answer:
t(n) = 4n + 1058 minutesStep-by-step explanation:
Initial value is 10 minutes and additional time is 4 minutes per week.
This is a linear function with
y-intercept b = 10slope m = 4The formula for the time of run after n weeks is
t(n) = 4n + 10, where t(n) - run time after n weeksDaily run time after 8 weeks is
t(8) = 4*8 + 10 = 58 minutesIf each interior angle of a regular polygon is 168 °, then the number of sides of the polygon is ….
each interior angle= 168°
to find:the number of sides the polygon has.
solution:180- 360/n= 168
12= 360/n
n= 360/12
n= 30
therefore, the polygon has 30 sides.
the answer to your question is 30 sides
hope this helps
|x-(-12)|; if x>-12 pls help!!!!
Answer:
because -12 is smaller than x
Step-by-step explanation:
for example some one got 14$ and lost 12$ it mean this -12 and the remaining keep it as 12$ no plus sign
Help please I’m stuck on these questions since I’ve been out of school for a week and is confused .
If f(x) = 5x, what is f-1(x)?
Answer:
[tex]y = \frac{x}{5}[/tex]
Step-by-step explanation:
I am going to assume that by "f-1(x)" you mean [tex]f(x)^{-1}[/tex], which makes this an inverse function problem. To find the inverse of a function, simply swap x and y, then solve for y.
[tex]x = 5y\\y = \frac{x}{5}[/tex]
The epicenter of an earthquake is the point on Earth's surface directly above the earthquake's origin. A seismograph can be used to determine
the distance to the epicenter of an earthquake. Seismographs are needed in three different places to locate an earthquake's epicenter. Find the
location of the earthquake's epicenter if it is 4 miles away from A (5,2), 3 miles away from B (-2,2), and 5 miles away from C (1, -3).
Answer:
The coordinates of the epicenter are (1,2) ie x=1, y =2
Step-by-step explanation:
We use the fact that the distance d between 2 points, (C y₁) and (x₂, y₂) is computed by the Pythagorean formula:
(x₁ - x₂)² + (y₁ - y₂) = d²
Let the epicenter be located at (x, y)
Distance dA from point A(5,2) is known to be 4 and is given by the equation:
(x-5)² + (y - 2)² = dA² = 4² = 16 ==>
(x-5)² + (y-2)² = 16 (1)
Similarly, the distance from point B(-2,2) is given as 3. Therefore,
(x - (-2))² + (y-2)² = 3² = 9 or
(x + 2)² + (y-2)² = 9 (2)
Distance from point C(1,-3) ==>
(x-1)² + (y-(-3))² ==> (x-1)² + (y +3)² = 25 ...(3)
(1) - (2) cancels out the y terms and gives us
(x-5)² - (x+2)² = 7 (4)
This simplifies to
x² + -10x + 25 - (x² +4x + 4) = 7
or
x² + -10x + 25 -x² -4x - 4 = 7
-10x -4x = 7 - 21 = -14
Therefore, -14x = -14 giving us x = 1
Substituting for x = 1 in equation (3) gives us
(1-1)² + (y+3)² = 25 or
y + 3 = √25 = 5 giving y = 2
So we get the epicenter coordinates as x=1, y =2
Crosscheck in each of the equations (1), (2) and (3) for consistency
Equation 1 : (1-5)² + (2-2)² = -4² = 16 Check!
Equation 2: (1-(-2))² + (2-2)² = (1+2)² = 3² = 9 Check!
Equation 3: (1-1)² + 2-(-3))² = (2+3)² = 5² Check!
Fifteen is three times the difference between three times a number, n, and four.
Translate into equation and solve.
We can translate word equations into number equations by recognizing key words as operations:
Three times = multiply by 3Difference = subtractIs = equalsSolving the QuestionWe're given:
Fifteen is three times the difference between three times a number, n, and four.Divide the sentence into parts:
[Fifteen] [is] [three times the difference between three times a number, n, and four]Translate into numbers and operations:
15 = [three times the difference between three times a number, n, and four]15 = 3 × [difference between three times a number, n, and four]15 = 3 × (3n - 4)Isolate n:
15 = 3 × (3n - 4)
15 = 9n - 12
27 = 9n
n = 3
Answer15 = 3 × (3n - 4)
n = 3
A line remains _______ if the center of dilation is on the line
Answer:
same
Step-by-step explanation:
A line remains same if the center of dilation is on the line.
<~~• ¥ Pls HELP me!! ¥ • ~~>
Pls help me figure out the 3 boxes left pls help meet
Answer:
First box - divide both by 2
Second box - subtract 8 by 6
last box - subtract x
Answer:
1. 2
2. 4
3. 20
4. 10
5. 4
6. 4
Step-by-step explanation:
I'm not sure about the last one.
hope this helps
have a good day
SOMEONE PLEASE HELP ME!!!
What are the x-intercepts of the graph of the function y=6tan(x/2)-3?
Step-by-step explanation:
[tex]y = 6 \tan( \frac{x}{2} ) - 3[/tex]
Set y=0
[tex]0 = 6 \tan( \frac{x}{2} ) - 3[/tex]
[tex]3 = 6 \tan( \frac{x}{2} ) [/tex]
[tex] \frac{1}{2} = \tan( \frac{x}{2} ) [/tex]
[tex] \tan {}^{ - 1} ( \frac{1}{2} ) + \pi = \frac{x}{2} [/tex]
Multiply both sides by 2
[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi = x[/tex]
So the x intercepts of the function is
[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi[/tex]n
PLEASE HELP IF YOU CAN!!! 100 POINTS
Combined, there are 182 Asians, Africans, Europeans, and Americans in a village. The number of Asians exceeds the number of Africans and Europeans by 59. The difference between the number of Europeans and Americans is 14. If the number of Africans isdoubled, their population exceeds the number of Europeans and Americans by 16. Determine the number of Asians, Africans,Europeans, and Americans in this village.
Answer:
Asians - 114, Africans - 28, Europeans - 27, Americans - 13Step-by-step explanation:
Let
Asians - a, Africans - b, Europeans - c, Americans - dEqautions as per question
Combined, there are 182 Asians, Africans, Europeans, and Americans in a village.
a + b + c + d = 182The number of Asians exceeds the number of Africans and Europeans by 59.
a = b + c + 59The difference between the number of Europeans and Americans is 14.
c - d = 14 ⇒ c = d + 14If the number of Africans isdoubled, their population exceeds the number of Europeans and Americans by 16
2b = c + d + 16 ⇒ 2b = d + 14 + d + 16 ⇒ 2b = 2d + 30 ⇒ b = d + 15Substitute a, b and c into the first equation and solve for d
(b + c + 59) + b + c + d = 182d + 15 + d + 14 + 59 + d + 15 + d + 14 + d = 1825d + 117 = 1825d = 182 - 1175d = 65d = 65/5d = 13Find the other variables
b = 13 + 15 = 28c = 13 + 14 = 27a = 28 + 27 + 59 = 114We found that
Asians - 114, Africans - 28, Europeans - 27, Americans - 13ANSWER THE QUETIONS CORRECTLY FOR BRAINLIEST (ALGEBRA)
How do you solve a perfect square trinomial??
Answer:
Step-by-step explanation:
Here's an example:
x^2 + 6x + 9 = 0
First factorise it:
(x + 3)(x + 3) = 0
So the solution is x = -3 (multiplicity 2)
That is there are 2 roots both -3.
PLEASE HELP
find the length of sides
[tex]\text{Apply sine rule,}\\\\~~~~~~\dfrac{28}{\sin 27^{\circ}}=\dfrac x{\sin 64^{\circ}}\\\\\\\implies x = \dfrac{28 \sin 64^{\circ}}{\sin 27^{\circ}}\\\\\\\implies x \approx 55.4334[/tex]
what is the answer to this question ?
the given expression does not represent a polynomial
List the angles of ABC in order from largest to smallest.
Answer:
BCA
CAB
ABC
that kind of triangle is a scalene triangle, meaning there are no equal sides. if you see, B is the smallest of the sides and C is the largest, so A is in the middle.
Dalia buys a winter jacket at a used clothing store that costs $30. She lives in Idaho, where the sales tax is 6%. Write an equation that represents the total cost, c, of any item bought in Idaho whose price is p.
Dalia buys a backpack at a different store in Idaho. It is on sale for 30% off. Dalia pays $33.39 total (including sales tax). What was the original price of the backpack?
Answer:
Step-by-step explanation:
Discussion
Question One
The first question is just to derive a formula that represents the cost of anything bought in Idaho.
c = p + 6/100 * p
c = p + 0.6 * p
c = 1.06 p
Question Two
The second question requires an entirely different formula. You don't use the first formula. You just use it's idea. Further, you take the sales tax only when you know how much money has exchanged hands.
c = (p - 30/100 p) + 6/100*(p - 30/100 * p)
c = (p - 0.3p) + 0.06* (p - 0.3p)
c = 0.7 p + 0.06*(0.7p) Combine the right side
c = 0.7p + 0.042p Combine
c = 0.742p
33.39 = 0.742p Divide by 0.742
33.39/0,742 = p
p = 45 dollars
The original cost was 45 dollars
I neeed help please ??!!!
Answer: 1 3/4
Step-by-step explanation:
8 1/2 - 6 3/4
change the 1/2 to 2/4
then take away 1 from 8 and add 4 to the 2 and it gets 6
6-3=3
7-6=1
36. A survey provides the data shown.
2, 5, 6, 6, 7, 7, 8, 8, 9, 11, 13
Which box plot represents the data?
T --
0
5
10
15
+→
15
5
10
+
0
5
10
15
D
--
0
5
10
15
Answer:
ad r4
Step-by-step explanation:
rfrrrrfe
Lily paid $208.50 for 2 identical necklaces and 3 purses. Serena paid $91.50 for 1 such necklace and 1 purse. Each purse cost the same. How much did a necklace cost?
please help! I have been absent and i don't know how to do. I will award u 20 points
Answer:
unsig elimination method to solve simultaneous equations
What is the slope of the line in this graph?
А.5/9
В.5/7
C. 7/5
D. 9/7
Answer:
5/7
Step-by-step explanation:
It goes up 5, and goes to the right 7.
A line passes through the points (-2, 9) and (-1, 0). What is its equation in slope-intercept form?
Answer:
y=-9x-9
Step-by-step explanation:
Just plug in your Ys and Xs in order to get y=-9x-9
Question 1 of 20
t cost Andrea $50 per day to rent a moving truck and an additional $3 for
every mile that she drove it. If Andrea spent a total of $104 after renting the
ruck for 1 day, which equation shows how many miles Andrea drove?
O A.
104
3
= 50x
OB. 50+3x = 104
OC. 3+50x= 104
The equation that shows the miles Andrea drove is $104 = $50 + $3x.
What is the equation that shows the miles Andrea drove?The total cost of renting the moving truck is a function of the cost to rent per day and the total miles driven. The cost to rent the truck per day is the fixed cost while the cost per mile is the variable cost.
Total cost = cost to rent per day + (cost per mile x total mile driven)
$104 = $50 + $3x
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Rationalise the following:
(Root3-1) / (root3+1)
Answer:
[tex]2-\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\times \dfrac{\sqrt{3}-1}{\sqrt{3}-1} &=\dfrac{(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}\\\\ & =\dfrac{\sqrt{3}\sqrt{3}-\sqrt{3}-\sqrt{3}+1}{\sqrt{3}\sqrt{3}-\sqrt{3}+\sqrt{3}-1}\\\\ & =\dfrac{4-2\sqrt{3}}{2}\\\\ & = 2-\sqrt{3}\end{aligned}[/tex]
