Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Edward and diana walked to the dock at 3 miles per hour, jumped into the boat, and motored to dillion at 9 miles per hour. if the total distance was 15 miles and the trip took 4 hours in all, how far did they go by boat?
Let's denote the distance traveled by boat as "x" miles. We know that the total distance traveled is 15 miles. Edward and Diana traveled a distance of 12 miles by boat.
Let's denote the distance traveled by boat as "x" miles. We know that the total distance traveled is 15 miles. Since they walked to the dock at a speed of 3 miles per hour, the distance they walked can be calculated as (4 - x/9) hours multiplied by 3 miles per hour.
The total time for the trip is given as 4 hours. Therefore, the time spent on the boat can be calculated as x/9 hours. This means the time spent walking is (4 - x/9) hours.
To find the distance traveled on foot, we multiply the time spent walking by the speed of 3 miles per hour:
3 * (4 - x/9) = 12 - x/3.
Since the total distance traveled is 15 miles, we have the equation:
12 - x/3 + x = 15.
Simplifying the equation, we find:
36 - x + 3x = 45,
2x = 9,
x = 4.5.
Therefore, they traveled a distance of 4.5 miles by boat.
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marco is studying for an upcoming exam in his college algebra class. he should be aware that he should retrieve the information _____ times before he stops studying it.\
Main Answer: Marco is studying for an upcoming exam in his college algebra class. He should be aware that he should retrieve the information seven times before he stops studying it.
Supporting Explanation :According to the theory of the “Curve of Forgetting,” humans tend to forget around 50% of new information within the first hour. That’s why it’s important to review and study the same information multiple times in order to keep it in long-term memory. Retrieving information at least seven times can help to counteract the “Curve of Forgetting” and improve retention. Spacing out study sessions over a longer period of time also helps to increase retention and reduce the likelihood of forgetting. Thus, it is important for Marco to retrieve the information seven times before stopping to study.
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I want to know if they are equivalent
Answer:
not equivalent
Step-by-step explanation:
You want to know if (x² +1) is equivalent to (2/3x² +1/3x² +1 +x).
SimplifiedThe second expression simplifies to ...
(2/3 +1/3)x² +x +1 = x² +x +1
This 3-term expression has an extra term that is not found in the first expression. The two expressions are not equivalent.
__
Additional comment
You can combine like terms (expressions with the same variables to the same powers), but you cannot combine unlike terms. The added x term in the second expression is what makes it not equivalent to the first expression.
Equivalent expressions have the same graph. These do not.
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Puzzle in the picture. the answer should be 23, explain how you did it
Step-by-step explanation:
try this option, all the details are in the attachment.
Note, the nine numbers. used in the solution are: 1, 2, 3, 4, 5, 6, 7, 8 and 9.
1.A five - layer of cake weighs half a kilogram per layer.In each layer,the cake is decorated with icing which weighs 15g.3 candles which weighs 100g each is added.What is the total weight in kilogram of the fully decorated cake?
Answer: 2.815 kilograms
======================================================
Work Shown:
1 layer = 0.5 kg
5 layers = 5*(0.5 kg) = 2.5 kg
icing = 15 g = 15/1000 = 0.015 kg
1 candle = 100 g = 100/1000 = 0.1 kg
3 candles = 3*(0.1 kg) = 0.3 kg
------------------------
The five layers combine to 2.5 kg. On top of that we have 0.015 kg of icing, and then finally the three candles add 0.3 kg more weight.
The total weight is therefore: 2.5+0.015+0.3 = 2.815 kilograms
HEEEEELLLLPPPP
write a short explanation of why the distance formula works and include a discussion of why either point can be point 1 or point 2
Answer:
Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. From this perspective, the distance formula states that the distance of two distinct points on a plane is equal to the square root of the sum of the square of the rise and run.
I can not Put Out The Points So Im sorry.
Do the following side lengths form a triangle?
28, 50, 22
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415
이
00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit
The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
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Tina says, "The difference between any 2 consecutive square numbers is always odd." Is she correct? Yes No
Answer:
Yes
Step-by-step explanation:
Because they are consecutive, one is odd and one is even.
The square of an odd number is always odd
The square of an even number is always even
The difference between an odd number and an even number is always odd
Therefore, the difference between any 2 consecutive square numbers is always odd
Caitlin has a $10 gift certificate to the music store. She has chosen a number of CDs from the $7 bargain bin. If the cost of the CDs is $32 after the gift certificate is credited, which equation could be used to determine how many CDs did Caitlin buy?
Answer:
32+10=7x
Step-by-step explanation:
Let's solve this first. 32$ is the final price, and then add 10$ because of the gift card, leaving you with 42$. Divide the 42 by 7, because each CD is 7 dollars. The result is 6. So put that into an equation.
32+10=42=7x
x=6!
Hope this helps :3
The current value of a baseball card is 80 times its original value v (in dollars). The baseball card is worth $36. Write and solve an equation to
find the original value of the baseball card.
Equation: = 36
Original value:
Answer:
45 cents
Step-by-step explanation:
Let
v---------> the original value of the baseball card
we know that
------> equation to find the original value of the baseball card
solve for v
Divide both sides by 80
therefore
the answer is
the original value of the baseball card is $0.45
Lucas is planning a graduation party the caterer charges. $ 15 a person plus a delivery fee of $50 what is the greatest number of people Lucas can invite if he has a budget of no more than $500
Answer:
30 People
Step-by-step explanation:
1)$500-$50=450
total budget - catering fee= new total of 450
2)450/15=30
450/15 per person=30 people and your total charge is $500
If the percentage profit on a bag of rice is 10% and the cost price is N2,600. Find the selling price.
Answer:2,860
Step-by-step explanation:
two roots of a cubic auxiliary equation are r1 = 2i and r2 = 5. what is a corresponding homogeneous differential equation with constant coefficients?
The corresponding homogeneous differential equation with constant coefficients is y''' - (4i + 5)y'' + 20iy' - 20y = 0, where y is the dependent variable and i is the imaginary unit.
Given that the roots of the cubic auxiliary equation are r₁ = 2i and r₂ = 5, we can write the equation as
(x - 2i)(x - 2i)(x - 5) = 0
Expanding this equation, we get
(x² - 4ix + 4)(x - 5) = 0
Simplifying further, we get
x³ - (4i + 5)x² + 20ix - 20 = 0
Therefore, the corresponding homogeneous differential equation with constant coefficients is
y''' - (4i + 5)y'' + 20iy' - 20y = 0
where y is the dependent variable and i is the imaginary unit.
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You start at (3, 5). You move down 4 units and left 1 unit. Where do you end?
Answer:
(-1,4)
Step-by-step explanation:
\(6x(2x+y-5)\)
Answer:
12x² + 6xy - 30x
Step-by-step explanation:
Given expression,
→ 6x(2x + y - 5)
Simplifying the given expression,
→ 6x(2x + y - 5)
→ (6x × 2x) + (6x × y) - (6x × 5)
→ 12x² + 6xy - 30x
Thus, answer is 12x² + 6xy - 30x.
how do we determine the significance of the slope in regression?
The significance of the slope in regression can be determined by conducting a hypothesis test
The slope of the regression line in a regression analysis shows how dependent variable changes as the independent variable increases by a unit. A hypothesis test on a slope coefficient, commonly referred to as the beta coefficient or the regression coefficient, can be used to ascertain the significance of the slope. The slope coefficient is compared to a null hypothesis value of zero in the hypothesis test.
The null hypothesis is rejected and it is determined that there is a significant association between the independent and dependent variables if the p-value for the slope coefficient is less than the significance threshold. Therefore, slope is not equal to zero and there is an association amongst changes in the independent variable and those in the dependent variable.
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HELP ME PLZZ I NEED HELP WITH THIS NOW!!
are the following statements true or false? false 1. if two row interchanges are made in sucession, then the determinant of the new matrix is equal to the determinant of the original matrix. false 2. if is zero, then two rows or two columns are the same, or a row or a column is zero. false 3. the determinant of is the product of the diagonal entries in . false 4. .
Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.
What is matrix ?
A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,
1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.
2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.
3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.
4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.
Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.
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please help me immediately
The arithmetic mean of 3 numbers is less than 20.The first number is 5 and the second number is 25.Find the possible values for the third no number.
Answer:
The third number can be any number less than 30.
Step-by-step explanation:
If the arithmetic mean of three numbers is less than 20, then their sum must be less than 20 * 3, or 60. We know that two of the numbers are 5 and 25, which add up to 30. In order for the arithmetic mean of the three numbers to be less than 20, the unknown number must be less than (60 - 30), or in order words, less than 30. So the third number can be any number less than 30.
The acceleration of an object (in m/s2) is given by the function a(t) = 6 sin(t). The initial velocity of the object is v(0) = -7 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = Preview b) Find the object's displacement (in meters) from time 0 to time 3. Preview meters c) Find the total distance traveled by the object from time 0 to time Preview meters
a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.
a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.
The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):
v(t) = ∫(6 sin(t)) dt
Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:
v(t) = -6 cos(t) + C
To find the constant C, we use the initial velocity v(0) = -7 m/s:
-7 = -6 cos(0) + C
-7 = -6 + C
C = -1
Therefore, the equation for the object's velocity is:
v(t) = -6 cos(t) - 1
b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:
Displacement = ∫[0,3] (-6 cos(t) - 1) dt
Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:
Displacement = [-6 sin(t) - t] from 0 to 3
Plugging in the upper and lower limits:
Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]
Displacement ≈ -6 sin(3) + 3
Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.
c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:
Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt
Since the absolute value function makes the negative part positive, we can rewrite the equation as:
Total Distance = ∫[0,t] (6 cos(t) + 1) dt
Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:
Total Distance = [6 sin(t) + t] from 0 to t
Plugging in the upper and lower limits:
Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]
Total Distance = 6 sin(t) + t
Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.
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answer correctly plss
(an explanation on how to determine if the function is linear, quadratic, or an exponential function will get brainly)
Answer:
equation is -3x+4
Step-by-step explanation:
function is linear because x is always constant
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A librarian is expanding some sections of the city library. He buys books at a special price from a dealer who charges one price for any hardback book and another price for any paperback book. For the children's section, Mr. Howard purchased 100 new hardcover books and 72 new paperback books, which cost a total of $1,760. He also purchased 97 new hardcover books and 72 new paperback books for the adult fiction section, spending a total of $1,718. What is the special price for each type of book?The special price is $ for hardcover books and $ for paperback books.
The system of equation is 100x + 72y = 1760 and 97x + 72y = 1718. The special price is $14 for hardcover books and $5 for paperback books.
What is linear equation?Equations are declarations of equality between two mathematical expressions containing one or more variables. A linear equation is one in which the maximum power of the variable is one. Any arithmetic equation can be solved using linear equations, which can also be used to find the precise value or root of the variable that answers the question.
Let us suppose the price of hardback covers = x.
Let us suppose the price of paperback covers = y.
Given that, Mr. Howard purchased 100 new hardcover books and 72 new paperback books, which cost a total of $1,760.
100x + 72y = 1760........(1)
He also purchased 97 new hardcover books and 72 new paperback books for the adult fiction section, spending a total of $1,718.
97x + 72y = 1718.........(2)
The system of equation to describe the situation is:
100x + 72y = 1760.
97x + 72y = 1718
To find the solution subtract the two equations:
100x + 72y = 1760.
- (97x + 72y = 1718)
Thus,
3x = 42
x = 14
Substitute the value of x in equation 1:
100(14) + 72y = 1760
1400 + 72y = 1760
72y = 360
y = 5
Hence, the special price is $14 for hardcover books and $5 for paperback books.
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5y(4-2y+y)-4y
Need help ASAP
Answer:
The answer above is correct, I got it wrong originally! Sorry for wasting this spot! ^w^
Step-by-step explanation:
"The sum of a number and nineteen has the same value as one less than the product of that number and five"
Answer:
x = 5
Step-by-step explanation:
Set up an equation:
x + 19 = 5x - 1
Add 1 to both sides:
x + 20 = 5x
Subtract x from both sides:
20 = 4x
Divide both sides by 4:
x = 5
find 5 points using this equation. Thanks !
A simple way to find points is plugging numbers into x and getting y. For example:
y = -9/5(5) - 9
y = -9 - 9
y = -18
So, your points for this example would be (5, -18)
Also, I know this isn't on the graph, but finding 5 points on this aren't always exactly on the point, but here are five points anyway:
(0, -9), (-5, 0), (-10, 9), (-1, -7.2), and (2, -12.6).
What would you expect the shape of the sampling distribution for the sample proportion to be? A. Exponential B. Uniform C. Normal D. None of these
Answer:
Step-by-step explanation:
yes
Pregnant women process caffeine at about 5.6% per hour. A 16-oz. cup of a certain type of iced tea has 94 mg of caffeine. Which represents the amount of caffeine C in a pregnant woman’s body t hours after it is consumed?
The amount of caffeine C in a pregnant woman's body t hours after consuming is 94 × \(0.944^t\)
What is consuming?"Consuming" refers to the act of ingesting or taking in a substance, usually food or drink, into one's body. In the context of the problem given, consuming refers specifically to the act of drinking or ingesting a 16-oz. cup of iced tea that contains a certain amount of caffeine.
The amount of caffeine C in a pregnant woman's body t hours after consuming a 16-oz. cup of iced tea can be calculated using the formula:
C = Co × \((1 - 0.056)^{t}\)
where Co is the initial amount of caffeine consumed (in milligrams) and t is the time elapsed (in hours).
In this case, Co = 94 mg (the amount of caffeine in the 16-oz. cup of iced tea). Therefore, the amount of caffeine in a pregnant woman's body t hours after consuming the iced tea is:
C = 94 × \((1 - 0.056)^t\)
Simplifying the expression, we get:
C = 94 × \(0.944^t\)
So, for example, if 2 hours have elapsed since the woman consumed the iced tea, the amount of caffeine in her body would be:
C = 94 × 0.944² = 82.6 mg
Therefore, The amount of caffeine C in a pregnant woman's body t hours after consuming is 94 × \(0.944^t\)
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If A is the set of all integers, choose the set B that will make the following statement false.B ⊆ A
B = {1, 2, 3}
B = {2.5, 3.5, 4.5}
B = {0}
B = {−4, −1, 0, 5, 10}
Answer:
B.
Step-by-step explanation:
The sets {1, 2, 3}, {0}, {-4, -1, 0, 5, 10} only include integers which makes the statement true. Since they are all integers they are all subsets.
Answer {2.5, 3.5, 4.5} does not include integers so therefore it is not a subset making the statement false.
The normal annual rainfall at stations A, B, C, and D in a basin are
70.55, 57.59, 66.28 and 82.01 cm respectively. In the year 1980, the station D was inop-
erative and the stations A, B and C recorded annual precipitations of 86.11, 74.23 and
81.89 cm respectively, Estimate the rainfall at station D in that year.
The question asks to estimate the rainfall at station D in the year 1980 based on the rainfall data of other stations. The answer is that station D's rainfall in 1980 can be estimated by comparing the rainfall patterns of all stations in the basin.
To estimate the rainfall at station D in 1980, we can analyze the relationship between the rainfall at different stations. In this case, we can observe that there is a correlation between the annual rainfall at stations A, B, C, and D. By comparing the rainfall patterns of these stations, we can make an estimation for station D.
In the given data, station D is inoperative in 1980, but the rainfall data for stations A, B, and C are available. By analyzing the rainfall patterns in previous years and considering the correlation between the stations, we can estimate the rainfall at station D in 1980 based on the rainfall data of the other stations in the basin.
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