Answer: 2.5
Step-by-step explanation:
You have -1.5+4
you can rewrite it to look better
4-1.5
and now it is easy to solve
once you do it is 2.5
HELPP!!!!!!!!!!!!!!!!
Answer:
D.4 3/4
Step-by-step explanation:
hope it helps you
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 2.5, 5.3
Step-by-step explanation:
\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)
The limits of the class intervals are
The lower and the upper class limit are as follows
interval lower limit upper limit
10-14 10 14
15-19 15 19
20-24 20 24
25-29 25 29
This is further explained below.
What is the class limit?Generally, The lower class limit and the upper-class limits are just the minima and maximum values that are allowed in each class, respectively: The gap that exists between the upper-class limit and the lower class limit is referred to as the class interval.
In conclusion, The lower and the upper class limit are as follows
interval lower limit upper limit
10-14 10 14
15-19 15 19
20-24 20 24
25-29 25 29
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Carmen made 80 ounces of peach jam and 96 ounces of strawberry jam. If each jam Will hold 8 ounces of jam how many jars will she need to hold off jam?
Answer:
80+96
= 176 total ounces of jam
176 ÷ 8
22 total jars
omg pog champ... is that u:0
Answer:
Wym lol
Step-by-step explanation:
Answer:
Wut...
Step-by-step explanation:
Ello m8 but what do you need?
Need HELP!!!!!! Write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3. Include all of your work in your final answer.
Answer:
y = 1/3x - 1
Step-by-step explanation:
1. if the gradient is -3, then the gradient of the perpendicular line should be 1/3.
2. substitute the new gradient and points into y - y1 = m (x - x1)
3. rearrange/move everything to give you the equation in y = mx + c form
A gym charges $35 per month after an initial membership fee. A member has paid a total of $250 after 6 months. Write an equation that gives the total cost of a gym membership as a function of length of membership (in months). Find the total cost of membership after 10 months.
The required equation is, y = 40 + 35 x, and the cost for 10 months will be 390.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Total charges of gym = Initial service fee + $ 35 per month
Thus, the total charges for 6 months = Initial service fee + 35 × 6 = Initial service fee + 210
According to the question,
Initial service fee + 210 = 250
⇒ Initial service fee = 250 - 210 = $ 40
Hence, the total charges for the gym for x months = 40 + 35x. Here, y represents the total charges for x months,
⇒ y = 40 + 35 x
The total cost of the membership after 10 months will be calculated as:-
y = 40 + 35 x
y = 40 + 35 x 10
y = 390
Therefore, the required equation is, y = 40 + 35 x, and the cost for 10 months will be 390.
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How are parallelogram and a trapzoid different
The key distinction between a parallelogram and a trapezoid lies in their side properties and the number of parallel sides they possess.
A parallelogram and a trapezoid are different geometric shapes with distinct properties and characteristics.
1. Shape: A parallelogram is a quadrilateral with opposite sides that are parallel. It has four sides and four angles, with opposite angles being equal. The opposite sides of a parallelogram are also congruent. In contrast, a trapezoid is a quadrilateral with only one pair of parallel sides. The other two sides are non-parallel.
2. Angles: In a parallelogram, the opposite angles are equal. The sum of the interior angles of a parallelogram is always 360 degrees. In a trapezoid, the angles can vary, and the sum of the interior angles is always 360 degrees as well.
3. Sides: In a parallelogram, the opposite sides are equal in length. In a trapezoid, the parallel sides are not necessarily congruent.
4. Diagonals: The diagonals of a parallelogram bisect each other, meaning they divide each other into two equal parts. In a trapezoid, the diagonals do not bisect each other.
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Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that
apply.
p ^ q
p V q
p -> q
q -> p
p<-> q
q <-> q
Answer:
b and d
Step-by-step explanation:
Answer:
Your answer would be p V q and q->p. Hope I helped :D
1. Consider the pyramid. 4 in 6 in 4 in. (a) Draw and label a net for the pyramid. (b)Determune the surface area of the pyramid. show your work. PLEASE HELP
a) The net of a pyramid is a flattened view of each face and the base along with its dimensions.
Therefore, a net of a pyramid with a base of 6 in and slant edges of 4 in is drawn.
( find the attachment figure below)
b)Surafe area of Pyramid = 55.68 sq in
The surface area of a pyramid is the sum of the surface area of the base and 4 triangles
Surafe area of Pyramid = Surface area of Square base + 4(Surface area of Triangle)
i) Surface area of Square base= 4(side) = 4*6 = 24 sq in
ii) Surface area of Triangle = \(\sqrt{s (s-a) (s - b) (s - c)\)
here s = (a + b + c)/2
here a= 4 b= 6 c= 4
=> s = (4 + 6 + 4)/2 = 14/2 = 7
The surface area of the Triangle = \(\sqrt{s (s-a) (s - b) (s - c)\)
= \(\sqrt{7 (7-4) (7 - 6) (7- 4)\)
= \(\sqrt{7 (3) (1) (3)\)
=\(\sqrt{63}\)
=\(3\sqrt{7}\)
=3(2.64)
=7.92 sq in
Surafe area of Pyramid = Surface area of Square base + 4(Surface area of Triangle)
Surafe area of Pyramid = 24+4(7.92) = 24+31.68 = 55.68 sq in
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-7x-3x=-20 help me please :)
AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
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A study of child care enrolled 1364 infants and followed them through their sixth year in school. Later, the researchers published an article in which they stated that "the more time children spent in child care from birth to age four-and-a-half, the more adults tended to rate them, both at age four-and-a-half and at kindergarten, as less likely to get along with others, as more assertive, as disobedient, and as aggressive." $^{31}$ (a) Is this an observational study or an experiment? Justify your answer. (b) What are the explanatory and response variables? (c) Does this study show that child care causes children to be more aggressive? Explain.
(a) Is this an observational study or an experiment?
ans=Observational study – no treatment was imposed
(b) What are the explanatory and response variables?
ans=explanatory – time spent in child care from birth to age 4 response – adult rating of children’s behavior
d) Does this study show that child care causes children to be more aggressive? Explain.
No. Observational studies cannot show cause-and-effect
Researchers=someone whose job is to study a subject carefully, especially in order to discover new information or understand the subject better: She is a leading researcher in the field.
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how do you write 1.2 X 10^5(power) in standard form
anSwer:
120,000x
Step-by-step explanation:
1.2(100000)
An unfair coin with Pr[H]=23 is flipped. If the flip results in a head, then a marble is selected from an urn containing 6 red, 9 white, and 10 blue marbles. If the flip results in a tail then a marble is selected from an urn containing 10 red and 1 white marbles. If the marble selected is white, then what is the probability that a flip resulted in a head?
The probability that the flip results in a head is given as Pr[H] = 23. Therefore, the probability that the flip results in a tail is Pr[T] = 1 - Pr[H] = 1 - 23 = 13.
Let A be the event that a white marble is selected. We need to find the conditional probability Pr[H|A], i.e., the probability that the flip resulted in a head given that a white marble was selected.
Using Bayes' theorem, we have:
Pr[H|A] = (Pr[A|H]*Pr[H]) / Pr[A]
Pr[A|H] is the probability of selecting a white marble given that the flip resulted in a head. This is given by (9/25), since there are 9 white marbles out of 25 in the first urn.
Pr[A] is the total probability of selecting a white marble, which can be found using the law of total probability:
Pr[A] = Pr[A|H]*Pr[H] + Pr[A|T]*Pr[T]
= (9/25)*0.23 + (1/11)*0.13
= 0.0888 + 0.0118
= 0.1006
Pr[A|T] is the probability of selecting a white marble given that the flip resulted in a tail. This is given by (1/11), since there is only 1 white marble out of 11 in the second urn.
Therefore,
Pr[H|A] = (9/25 * 0.23) / 0.1006 = 0.6508
Hence, the probability that the flip resulted in a head given that a white marble was selected is 0.6508 (or approximately 0.65).
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Tony owes Tina 40p.
Then Tina borrows 50p from Tony.
Later Tony gives Tina 60p.
Who has to pay what to whom to
square things up?
nswer
I need to answer this challenge
Given the system of equations below. Use the Inverse of the matrix method to solve. x+2y+3z=11
2x+4y+5z=21
3x+5y+6z=27
The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.
The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.
Here, we will solve this system of equations using inverse of the matrix method as follows:
We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].
The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33] where,
d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,
d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,
d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,
d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,
d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,
d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,
d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,
d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,
d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.
We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]
Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]
Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.
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Rehan is on holiday in the USA.
Rehan buys
1 pair of trainers costing $60
The exchange rate is $1 = £0.749
Rehan says,
“The trainers cost less than £40”
Rehan is wrong.
Using a suitable approximation, estimate the cost of the trainers in pounds
The cost of the trainers in pounds which is $60 in the USA is £44.94
What is exchange rate?
The exchange rate between the dollar and the pound sterling is the amount at which both currencies exchange hands, I mean the amount of pound sterling that is given in lieu of $1, in this case, for every $1, the amount of pound sterling that is equivalent to it is £0.749, which means that on the basis of the exchange rate the value of trainers in pounds can be determined as shown in details below:
$1 = £0.749
$60=60*£0.749
$60=cost a pair of trainers=£44.94
In short, a pair of trainers selling for $60 in the USA should cost £44.94 based on the exchange rate of $1 = £0.749
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mrs. sanford wants to build a pool in her backyard. the contractor told her that he is able to fill the pool with 9,000 gallons of water.. the pool is in shape of a rectangle. the height 15 feet, the length is 20 feet, what is the width of the people.
The width of the pool is approximately 4.01 feet.
Mrs. Sanford plans to build a rectangular pool in her backyard, which will hold 9,000 gallons of water. The pool's height is 15 feet and its length is 20 feet. To determine the width of the pool, we need to first convert gallons to cubic feet, as 1 gallon equals approximately 0.1337 cubic feet.
So, 9,000 gallons * 0.1337 = 1,203.3 cubic feet of water. Now, we know that the volume of a rectangular pool is calculated using the formula V = LWH (Volume = Length * Width * Height). We have the volume (1,203.3 cubic feet), the height (15 feet), and the length (20 feet), so we can solve for the width (W):
1,203.3 = 20 * 15 * W
1,203.3 = 300 * W
W = 1,203.3 / 300
W ≈ 4.01 feet
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Luis
Ana
Javier
Precio ($)
100
140
80
Sarape
10
90
50
Aretes
4
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
6
Blusa
00
Precio rebajado ($)
45
63
Answer:
Espero y esto te ayude :) si me falto algo lo siento.
Step-by-step explanation:
Si se oferta un producto al 10% de descuento, esto significa que el precio final del producto será 90% del precio original. Para hallar estos datos, debemos usar una regla de tres, de la siguiente forma:
100% 90%
-------------------- → ---------------------------
Precio Original Precio con Descuento?
SARAPES
- Ana: descuento (14), precio rebajado 126
Precio rebajado = 140.90 / 100 = 126
Descuento: 140 - 126 = 14
- Javier: descuento (8), precio rebajado 72
Precio rebajado = 80.90 / 100 = 72
Descuento: 80 - 72 = 8
ARETES
- Luis: descuento (5), precio rebajado 72
Precio rebajado = 50.90 / 100 = 45
Descuento: 50 - 45 = 5
- Ana: Precio original (60) , descuento (6), precio rebajado 54
Precio original: X.0,10 = 6
X = 60
Precio rebajado: 60 - 6 = 54
- Javier: Precio original (40) , descuento (4), precio rebajado 36
Precio original: X.0,10 = 4
X = 40
Precio rebajado: 40 - 4 = 36
-2xy dx + 6. Which of the following first order ODE is not Bernoulli's equation dy + y = (inx) y A dy 1 y=sinx √√y B. dx x dy + 3xy=xy³ C. dx dy+2x²y=3e² y. D. dx DX
The first order ODE that is not Bernoulli's equation is option (D) dx DX. Bernoulli's equation is in the form dy + P(x)y = Q(x)yn, where n is a constant not equal to 0 or 1.
Let's examine each option:
(A) dy + y = (inx)y: This is a Bernoulli's equation with P(x) = 1 and Q(x) = inx.
(B) dx/x + dy + 3xy = xy³: This equation can be rearranged to the form dy + (3x - y² - 1)dx/x = 0, which is a Bernoulli's equation.
(C) dx + dy + 2x²y = 3e²y: This equation can be rearranged to the form dy + (2x² - 3e²)ydx = 0, which is a Bernoulli's equation.
(D) dx DX: This is not in the form of dy + P(x)y = Q(x)yn and therefore not a Bernoulli's equation.
So, the correct answer is option (D) dx DX.
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Solve the inequality and graph the solution. 2+4b≤10
Answer:
b≤2
Step-by-step explanation:
2+4b≤10
Subtract 2 from each side
2-2+4b≤10-2
4b≤8
Divide each side by 4
4b/4≤8/4
b≤2
965 g +50 cm3
explain your answer!
Determine if each statement below is true or false. If the statement is true, simply write the word True for your answer; no other justification is needed. If the statement is false, you should write the word False and also give a counter- example to the statement to justify your answer. For example, if the statement is "For all sets A and B, A CAN B", a cor- rect answer would be: False. If A {1, 2} and B = {2,3},then An B = 2, and A & ANB Assume in all cases that that the domain of the given sets is N. In other words, A, B and C are subsets of the natural numbers. (4 pts each) (a) For all sets A and B, B C (AUB). (b) For all sets A and B, (AUB) C A. (c) For all sets A and B, (AUB) - B = A. (d) For all sets A and B, A - (B - A) = A. (e) For all sets A, B and C, if A + B and B + C then A #C.
All of the statements are false except statement d. Counter-examples are given for each false statement each and explained below.
How to Write a Counter-example?a) The statement is incorrect because there may exist elements in set B that are not included in the union of sets A and B.
Counter-example: if we take A as {1} and B as {2}, we can see that B is not part of the union of A and B, denoted as A ∪ B.
(b) The statement is incorrect because the union of sets A and B can include elements that are not in set A.
Counterexample: Let A = {1} and B = {2}. Then (A ∪ B) = {1, 2}, and {1, 2} is not a subset of A since it contains an element (2) that is not in A.
(c) The statement is false because removing set B from the union of sets A and B may result in elements that are not present in set A.
Counterexample: Let A = {1} and B = {2}. Then (A ∪ B) - B = {1} - {2} = {1}, which is not equal to A.
(d) The statement is true because removing the set A from the set B minus A will result in set A itself.
(e) The statement is false because there can be cases where sets A, B, and C have overlapping elements, indicating that A is not disjoint from C.
Counterexample: Let A = {1}, B = {2}, and C = {1, 2}. Then A + B = {1, 2} and B + C = {1, 2}, but A ∩ C = {1} is not an empty set, so A and C are not disjoint.
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Assume that the probability that a person has COVID-19 is 0.31.
If a group of 5 people is randomly selected, what is the
probability that at least one of them has COVID-19?
The probability that at least one person in a group of 5 randomly selected individuals has COVID-19 is approximately 0.82.
To calculate the probability of at least one person having COVID-19 in a group of 5, we can use the complementary probability approach. The complementary probability is the probability of the opposite event occurring, in this case, the event of no one in the group having COVID-19.
The probability of an individual not having COVID-19 is 1 - 0.31 = 0.69. Since the selection of each person is independent, the probability of all 5 people not having COVID-19 is 0.69 raised to the power of 5 (0.69^5), which equals approximately 0.193.
To find the probability of at least one person having COVID-19, we subtract the probability of none of them having COVID-19 from 1. Therefore, the probability of at least one person having COVID-19 in the group is 1 - 0.193 = 0.807 or approximately 0.82.
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What is the slope of the segment with end points at (300, -2) and (500,6)
Answer:
The answer is A: 1/25
8x - 3 /AX 4x + 3 When angles form a linear pair, their sum is 180°. 8x - 3+ 4x + 3 = 180 [?]x + [] = 180
Answer:
12x + 0 = 180x = 15Step-by-step explanation:
You are given the equation 8x -3 +4x +3 = 180 and asked to simplify it and solve for x.
SimplifiedCollecting terms, we have ...
(8 +4)x +(-3 +3) = 180
12x + 0 = 180
Dividing by the coefficient of x gives ...
x = 180/12 = 15
The value of x is 15.
whats the radius for the circle? x^2+2x+y^2+4y-6=0
Answer:
r = \(\sqrt{11}\)
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use \((\frac{b}{2} )^{2}\) to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get \((\frac{2}{2} )^{2} =(1)^{2} =1\)
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get \((\frac{4}{2} )^{2}=(2)^{2} =4\)
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides \(\sqrt{r^{2}} =\sqrt{11}\) to get r = \(\sqrt{11}\)
15) 3x2 - x - 10 When this trinomial is factored completely, one of its factors is A) x 2 B) x - 5 C) 3x 5 D) 3x - 2
When the trinomial 3x² - x - 10 is factored completely, one of its factors is 3x+5.
Solving the given trinomial 3x² - x - 10.
=>3x² - 6x+5x - 10
=>3x(x-2)+5(x-2)
=>(3x+5)(x-2)
The two factors of the given trinomial 3x² - x - 10 is (3x+5) and (x-2), but according to the given options, the correct answer is option C - 3x+5.
Thus, When the trinomial 3x² - x - 10 is factored completely, one of its factors is 3x+5.
Complete question: 3x² - x - 10
When this trinomial is factored completely, one of its factors is
A) x + 2
B) x - 5
C) 3x + 5
D) 3x - 2
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7 5/9 divided by 4/7
Answer:
13.2222222222
Step-by-step explanation: