Answer:
Step-by-step explanation:
The constant of proportionality is y/x=k. In this case it is 30/5=48/8...6 k=6
The equation is
y=6x where y=number of wheels and x=number of buses
how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches
Answer:
560/9 or around 63 cubes
Step-by-step explanation:
2 2/3 -> 8/3
3 1/3 -> 10/3
2 1/3-> 7/3
7/3 x 8/3= 56/9
56/9 x 10/3 = 560/27
560/27 divided by 1/3
= 560/9
Arrange the steps in the correct order to prove the theorem "If A and B are sets, A is uncountable, and A ⊆ B, then B is uncountable." Rank the options below.
a. Since A is a subset of B, taking the subsequence of {bn} that contains the terms that are in A gives a listing of the elements of A.
b. Thus B is not countable.
c. The elements of B can be listed as b1, b2, b3
d. Therefore A is countable, contradicting the hypothesis.
Answer:
Step-by-step explanation:
We are to rank the options given in the question to correctly prove the theorem that: "If A & B are set, and A is a subset of B"
To arrange the steps in the correct order, we have:
(a) Assume that B is countable
(b) The elements of B can be listed as b1, b2, b3
(c) Since A is a subset of B, taking the subsequence of {bn} that contains the terms that are in A gives a listing of the elements of A.
(d) Therefore A is countable, contradicting the hypothesis.
(e) Thus B is not countable
Which equation can be used to find A, the area of the parallelogram shown? A = 5 × 9 A = 4 × 9 A = 12 × 5 × 9 A = 12 × 4 × 9
Answer:
I believe it's A=5 times 9 but since the triangle is special (3-4-5), it could be 12 times 5. Hope this kinda help :)
36/81 × 10/50 simplest form
Answer:
36/81 x 10/50 is 29/45. Since 29 is a prime number and 45 is not divisible by 29, 29/45 would be the simplest form.
Hope this helps! Brainliest?
Find the mean, median, mode, and range of the following data set.
15, 12, 19, 15, 16, 13, 15.
Mean:
Median:
Mode:
Range:
12 13 15 15 15 16 19
mean: 15
median: 15
mode: 15
range: 7
Answer:
12, 13, 15, 15, 15, 16, 19
Step-by-step explanation:
Mean: 15
Median: 15
Mode: 15
Range: 7
What is the volume of of a rectangular prism with the following measurements:
Length: 3 yd
Width: 1/2 yd
Length: 1/2 yd
A 3/4 yd cubed
B 2/3 yd. cubed
C 6/2 yd. cubed
D 6/8 yd. cubed
I will give brainleast
Answer:
b
Step-by-step explanation:
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.
probability of two bananas
p( two bananas )
If Brittany walks 4 miles in 50 minutes, then Brittany will walk how far in 90 minutes if she walks at the same speed the whole time? If necessary round your answer to the nearest tenth of a mile
Answer:
Wrong Anewer, I can't delete my answer so I just edited this in
Answer: try calculating it this is very easy that’s why you just have to times it
ing
Step-by-step explanation:
bir bidonun 2/7 si dolu iken içinde 4 litre su bulunuyor bidon kaç litre su alır
Answer:
The canister hold water = 14 litres
Step-by-step explanation:
Given - While 2/7 of a canister is full, it has 4 litre water in it.
To find - How many litres of water does the canister hold?
Proof -
Given that,
When is canister is [tex]\frac{2}{7}[/tex] full , Total water = 4 litre
⇒If the canister is full , Total water = 4×[tex]\frac{7}{2}[/tex] litre
= 2 × 7 = 14 litres
⇒The canister hold water = 14 litres
John bought a car for $65.000. If the value depreciates by 8% each year,how much will the car be worth at the end of two years?
Answer:
$546000
Step-by-step explanation:
($65000×8%)(2)
what is the value of x when h(x) x-3
Answer:
-1
Step-by-step explanation:
I did it in my review
Help plssss hhbbbbbbbbbhnjjjjjjjjjbhddccgbbbhh
Answer:
It's a, 2^x + 3
Step-by-step explanation:
If you look at the y-intercept, you can see that there was a vertical shift upwards by 3 (y intercept moved from y = 1 to y = 4).
If you're studying for the SAT, it'll be good to study the transformation rules, including horizontal stretches/shifts. They always seem to throw one or two questions about those on there.
In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household.) Among the respondents, answered "none," said "one," said "two," said "three," and responded with four or more. A survey respondent is selected at random. Find the probability that his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in use? Consider an event to be unlikely if its probability is less than or equal to 0.05.
P(four or more cell phones)
(Round to three decimal places as needed.)
Pls help! The question is in the picture down below!
Answer:
Let me know if there is anything you don't get
∠3 = 102 because ∠1 and ∠3 are supplementary and 102 + 78 = 180
∠4 = 102 because ∠1 and ∠4 are consecutive interior angles
∠5 = 78 because ∠1 and ∠5 are corresponding angles
∠6 = 133 because ∠2 and ∠6 are supplementary angles
∠7 = 47 because ∠2 and ∠7 are vertical angles
∠8 = 47 because ∠2 and ∠8 are opposite interior angles
∠9 = 133 because ∠8 and ∠9 are supplementary, and we just saw ∠2=∠8
∠10 = 102 because ∠1 and ∠10 are supplementary
You could have used a whole bunch of different relations, but I wanted to focus on ∠1 and ∠2 since those were told to us
Step-by-step explanation:
For this question you need to know several parts of geometry. Let me know if anything doesn't make sense.
First, parallel lines are two or more lines which are angles in such a way that no matter how long they are they will not cross. In other words they are slanted at the same angle. you can see this with lines a and b in this picture.
Second, a transversal is a line that crosses through two or more parallel lines. A transversal creates a number of angles that have special properties. I would like you to look specifically at line c as I describe these angles. line c is a transversal to Ines a and b. Also line d is also a transversal.
There are seven special angles to know.
The easiest is supplementary angles. This you don't need parallel lines, but if any two lines ever cross this creates 4 angles. you can actually look at where lines c and b intersect in your problem. Angles 2. 6 and 7 are labeled but there is one more unlabeled one. Now, 180 degrees is a straight line. With angles you can see angles 6 and 7 add together to be a straight line. Similarly 2 and 6 do as well. These are two sets of supplementary angles.
To list off the supplementary angles here 9 and 8 are supplementary, as are 2 and 6, 6 and 7, 1 and 3, 1 and 10, and finally 4 and 5.
From supplementary angles comes vertical angles. Again, if you look at angles 2, 6 and 7 we already know ∠2 + ∠6 = 180 and ∠6 + ∠7 = 180. Well lets say ∠6 = 133. Well then, we could use algebra to see that both ∠2 AND ∠7 are 47 degrees. This is the property of vertical angles. if you have two lines intersecting, any two angles that have a third in between the are called vertical angles, and are equal.
some examples of vertical angles are ∠2 and ∠7as well as ∠3 and ∠10,
Finally we go into parallel line specific angles. If you have two or more parallel lines with a transversal, so in particular look at a and b as the parallel lines and c as the transversal. The transversal creates some special angles. in particular, the transversal crosses a and b at the same angle, so angles 8 and 7 have the same value. These are known as corresponding angles, since they correspond tot he same position with a transversal crossing through parallel lines.
the corresponding angles in the picture are ∠8 and ∠7, ∠3 and ∠4 and finally ∠1 and ∠5. the last two using line d as a transversal.
After corresponding angles opposite interior angles I think are the next logically to look at. Opposite means they are on two different parallel lines and on different sides of the transversal, while interior means they are between the parallel lines. so if you look at the parallel lines a and b there are angles 8 and 2 that are interior angles. Since 8 is against line a and 2 is against line b, and ∠8 is above transversal c while ∠2 is below it, they are opposite angles. so 8 and 2 are opposite interior angles. Now, if you look at ∠8 and ∠7 you know these are corresponding angles, then ∠7 and ∠2 are vertical angles. This means opposite interior angles are equal.
A list of opposite interior angles are ∠8 and ∠2, and ∠10 and ∠4.
Alongside opposite interior, there are opposite exterior angles. opposite means on different parallel Ines and on opposite sides of the transversal, while this time exterior means not between the parallel lines. Now just like we figured with opposite interior angles
The only labeled pair of opposite exterior angles are ∠9 and ∠6. Now just like we figured with opposite interior angles, let's start with ∠8 and ∠9, which are supplementary. then ∠8 and ∠7 are corresponding angles so ∠9 and ∠7 are supplementary. We can also see ∠7 and ∠6 are supplementary. well, since ∠9 + ∠7 = 180 = ∠6 + ∠7 then ∠9 = 180 - ∠7 = ∠6 so ∠9 = ∠6. This shows opposite exterior angles are equal.
So we did two kinds of opposite angles, it might make sense there are non opposite angles. And there are. these are called consecutive angles. There are consecutive exterior and consecutive interior angles. An example of each are ∠1 and ∠4 for consecutive interior, consecutive because they are on the same side of the transversal, and interior because they are between the two parallel lines. ∠3 and ∠5 are consecutive exterior angles.
You can use similar reasoning we have been so far to conclude all consecutive angles are supplementary
Divide (x2 + 8x + 1) ÷ (x – 4) using synthetic division.
Answer:
I'm sorry i cant help you rn, download symbolab or math solver, I'm sure you will find your answer g
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the proportion of flanges that exceeds 1.00 millimeters. Enter your answer in accordance to the item a) of the question statement (b) What thickness is exceeded by 90% of the flanges
Answer:
a) 0.5 = 50% of flanges exceed 1 millimeter.
b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
This means that [tex]a = 0.95, b = 1.05[/tex]
(a) Determine the proportion of flanges that exceeds 1.00 millimeters.
[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]
0.5 = 50% of flanges exceed 1 millimeter.
(b) What thickness is exceeded by 90% of the flanges?
This is x for which:
[tex]P(X > x) = 0.9[/tex]
So
[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]
[tex]1.05 - x = 0.9*0.1[/tex]
[tex]x = 1.05 - 0.9*0.1[/tex]
[tex]x = 0.96[/tex]
A thickness of 0.96 millimeters is exceeded by 90% of the flanges
One angle of an isosceles triangle measures 76º. Which other angles could be in that
isosceles triangle? Choose all that apply.
Answer:
52 or 28
Step-by-step explanation:
An isosceles has 2 congruent angles.
There are 2 possibilities:
A) There are two 76-deg angles and one angle of a different measure.
76 + 76 + x = 180
x = 28
B) There are two congruent angles, and 76 is the non-congruent angle.
x + x + 76 = 180
2x = 104
x = 52
Answer: 52 or 28
What is the slope of a line perpendicular to a line that contains the points (-8,-4) and (0,-8)
Answer:
I hope some of these help (examples)
Step-by-step explanation:
Line AB contains points A (1, 2) and B (−2, 6) The slope of line AB is
a)zero
b)undefined
c)positive
d)negative
The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?
Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is
Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are
The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).
The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).
Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are
parallel because the product of the slopes is −1
perpendicular because the product of the slopes is −1
parallel because the slopes are the same
perpendicular because the slopes are the same
Question 2
(06.02 LC)
The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?
1 over 2
2
negative 1 over 2
−2
Question 3
(06.02 LC)
Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is
zero
undefined
positive
negative
Question 4
(06.02 MC)
The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).
y = 2x + 16
y = negative 1 over 2x + 17 over 2
y = − 1 over 2x + 7 over 2
y = 2x − 4
Question 5
(06.02 MC)
The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).
y = −2x + 13
y = negative 1 over 2x + 7
y = 1 over 2x + 3
y = − 2x − 3
On the first question, the formula would be m=\frac{y2-y1}{x2-x1} and the value we got is -4/3, so D.
On the second quesiton, the slope in the given equation of the line is -2, its negative reciprocal is 1/2, so A.
On the third question, use the slope formula above and the value you would get is zero, so A.
On the fourth question, the equation of the line perpendicular to line QR is y=2x+b, to find b, just substitute the point (5,6) to the equation. That would make b = -4. the final equation of the line would be: y=2x-4, so D.
On the fifth question, the equation of the line parallel to line QR is y = -2x + b. substitute the point (4,5) to the equation, and you'll get b = 13. the final equation of the line would be y=-2x+13, so A.
D,A,A,D,A
1) Determine the slope of the line that is perpendicular to the equation below.
y = -3x + 4
Type your answer as a reduced fraction, if necessary, like this: 3/4
2) Which line is parallel to the line with this equation?
3x – 4y = 24
A) 8y-6x=32
B) 3x-5y=25
C) y=-3/4x -6
D) y+3 = 3(x-4)
3) Determine which equation is in slope-intercept form for the line that passes through (5, 0) and is perpendicular to the line below.
y = -5/2x + 6
A) y=-2/5x - 2
B) y=5/2x+2
C) y=5/2x-2
D) y=2/5x-2
4) Line 1 contains the points (6, -5) and (2, 7). Which of the given pairs of coordinates could be contained by Line 2 if Line 1 is parallel to Line 2?
HINT: Remember that two parallel lines share NO points.
A) (2,7) and (11,10)
B) (6,-5) and (-1, 3)
C) (9,8) and (6, 9)
D) (5,6) and (9, -6)
5) What value should replace the "?" to make the equations parallel?
Type your answer as a reduced fraction, using the "/" symbol to separate the numerator and denominator, like this: 2/5
y=5/3 x - 8
y=? x + 9
6)Determine whether the pair of lines is parallel, perpendicular, or neither.
y = 7x and y – 28 = 7(x – 4)
A) parallel
B) perpendicular
C) Neither
1) m=-2
2) C) y=-3/4x -6
3) D) y=2/5x-2
I hope this helps:)
A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution : X~Exp (0.2)
Find the quartile 3. Round to the nearest tenth.
Answer:
The quartile 3 is 0.3
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
X~Exp (0.2)
This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]
Find the quartile 3.
The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]
Since
[tex]P(X > x) = e^{-\mu x}[/tex]
[tex]e^{-5x} = 0.25[/tex]
[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]
[tex]-5x = \ln{0.25}[/tex]
[tex]x = -\frac{\ln{0.25}}{5}[/tex]
[tex]x = 0.277[/tex]
Rounding to the nearest tenth, the quartile 3 is 0.3.
what is x +4z-5-3x, when x=2 and z=3x?
Answer:
15
Step-by-step explanation:
x=2,z=6
2+6(4)-5-3(2)
2+24-5-6
26-11
15
x = 2 & z = 3x
Solution : - ⇒x + 4z - 5 - 3x⇒(2) + 4(6) - 5 - 3(2)⇒2 + 24 - 5 - 6⇒26 - 11⇒15Can someone help me plzzzz with this math question!!!!!! “Buy one, get one free” special at T-Mobile for an iPhone 12. The cost is $1150. Calculate what you are actually paying for each item since you are getting two for one price. What is the sale price of each phone?
Answer:
$575
Step-by-step explanation
1150/2 = 575
Answer:
$1150
Step-by-step explanation:
because it is a buy one (for sale price), get one free
Andre and Elena knew that after 28 days they would have 228 coins, but they wanted to find out how many coins that actually is. Andre wrote:
228=2⋅28=56
Elena said, “No, exponents mean repeated multiplication. It should be 28⋅28, which works out to be 784.” Do you agree with either of them? Explain your reasoning.
Answer:
no, exponents are how many times the base is used, it would be 2x2x2... so on until there are 28 2s
Step-by-step explanation:
Factor the polynomial completely.
4x3 – 12x2 + 7x – 21
4x2(x – 3) + 7(x – 3)
Which is the completely factored polynomial?
4x2(x + 4)
3x2(x – 3)
(4x2 – 7)(x + 3)
(4x2 + 7)(x – 3)
Answer:
2x(2x2 -6x) + (7x - 21)
Step-by-step explanation:
4x3 - 12x2 + 7x -21
i need help with this
Answer:
20
Step-by-step explanation:
Hello There!
So first we need to determine what the formula for area of a trapezoid is
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
the given information is the area and the two bases
so we plug in the given information and solve for h
[tex]180=\frac{4+14}{2} h\\4+14=18\\\frac{18}{2} =9\\180=9h[/tex]
divide each side by 9
[tex]\frac{180}{9} =20\\\frac{9h}{9} =h[/tex]
we're left with
h=20
so we can conclude that the height is 20
Create a probability model for the outcome of flipping a coin 3 times. what is the probability of landing on heads at least once
a. 2/3
b. 1/2
c. 7/8
d. 1/8
Answer:
it is A.2/3
Step-by-step explanation:
Math Which expressions represent 9 divided by the sum of 1 and 2? Check all that are true. 09/(1+2) 9+1+2 I (9 - 1) + 2 (1 + 2) = 9 09+ (1 + 2)
Answer: 9/(1+2)
Hope it helps :)
please help me
( - 3 ) ( a + x ) , if a + 8, x = - 10
Answer:
6
Step-by-step explanation:
-3 x (8 + [-10]) =
-3 x (8 - 10) =
-3 x -2 =
6
HOpe that helps!
Answer: 6
Step-by-step explanation:
finding the answer from an equation
replace the values of x and a in the equation:
(-3) * ( 8 + -10)
= (-3) * (-2)
recall :
(-) * (-) = +
hence -3 * -2
= 6
Hope this helps. Can u pls give me brainliest
8th grade math, pls explain if you can.
Answer:
137.44 units^3
Step-by-step explanation:
EASY Work!! Please look at the picture and yes it’s easy for other people but not me for people asking.
Answer:
7()=11
8()=42
I could barely see the answer for number 9 sorry :(
Step-by-step explanation:
the 7() is 2(3)+5
2(3)=6
6+5=11
Question (8)
c^2+3a x b
c(6)^2+ 3(3) x 2/3
36+9 x 2/3
36+6=42
Answer:
(7)=11
(8)=42
Step-by-step explanation:
here
Matt made the model below to help him solve his math problem. Write and expression that matches Matt’s Model.
Answer:
1/3 x 3/4
Step-by-step explanation:
he took 1/3 of 3/4 means that he did 1/3 x 3/4