Answers
The segments AB and CD on item 1 are classified as follows:
Perpendicular.
When are lines parallel, perpendicular or neither?The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:
If they are equal, the lines are parallel.If their multiplication is of -1, they are perpendicular.Otherwise, they are neither.The slope of segment AB is given as follows:
m = (3 - 13)/(0 - (-2))
m = -10/2
m = -5.
The slope of segment CB is given as follows:
m = (3 - 0)/(10 - (-5))
m = 3/15
m = 1/5.
The multiplication of these slopes is given as follows:
-5 x 1/5 = -1.
As the multiplication of the slopes is of -1, the segments are perpendicular.
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Related Questions
Las llantas de la bicicleta de Julián miden 45 cm de diámetro y la distancia de su casa a la escuela es de 877 m cuántas vueltas aproximadamente deben de dar las llantas de la bicicleta de Julián para ir de su casa a la escuela
Answers
The tires of Julián's bicycle must take 620 turns to go from his house to school.
The circumference of the tire can be calculated using the formula C = πd, where d is the diameter of the tire.
C = πd = π(45cm) ≈ 141.37cm
To find out how many turns the tires must take, we need to divide the total distance by the distance covered by one revolution of the tire:
Number of turns = Distance / Circumference
Number of turns = 877m / (141.37cm/100cm/1m)
Number of turns ≈ 620.09
Therefore, the tires of Julián's bicycle must take approximately 620 turns to go from his house to school.
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Use the drop downs to determine which symbols
would complete the inequality for the range.
-2
(c)____y
_(c)______y____(d)______5
Answers
The symbols that would complete the inequality for the range include the following:
-2 ≤ y < 5.
c is less than or equal to.
d is less than.
What is a range?In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain.
Based on the information provided about the graph of this function, we can reasonably infer and logically deduce that the domain and range can be written as follows:
Domain = {-4, 4} or -4 < x ≤ 4.
Range = {-2, 5} or -2 ≤ y < 5.
In conclusion, the missing symbols are "less than or equal" to and "less than" respectively.
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Complete Question:
Use the drop downs to determine which symbols would complete the inequality for the range. −2 ___(c)___ y ___(d)___ 5 (c) (d) On a coordinate plane, a graph of an image with a curve and straight line has 2 points. A closed circle appears at (negative 4, negative 2) and an open circle appears at (4, 5).
what is the circumference of the given circle in terms of pi ?12 in
Answers
12π inches is the circumference of the given circle with a diameter of 12 inches.
The circumference of a circle can be found using the formula C = π*d, where d is the diameter of the circle.
If the diameter of the circle is 12 inches, then the circumference is:
C = π* d
C = π * 12 inches
C = 12π inches
So, the circumference of the circle in terms of π is 12π inches.
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Which shapes have teo pairs of parallel side choose all that apply
Answers
Answer:
A parallelogram is a quadrilateral with 2 pairs of parallel sides.
Step-by-step explanation:
Mark brainliest, pls
Is it an integer?
7/10 - yes or no
-6/1 - yes or no
-30.18 - yes or no
7 - yes or no
-76 - yes or no
Answers
The numbers as an integer or not are:
7/10 - no-6/1 - yes -30.18 - no7 - yes-76 - yesCategorizing the numbers as an integer or not?From the question, we have the following parameters that can be used in our computation:
7/10 - yes or no
-6/1 - yes or no
-30.18 - yes or no
7 - yes or no
-76 - yes or no
integers are numbers without decimal point (including 0)
Using the above as a guide, we have the following:
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A rectangle is drawn so the width is 47 inches longer than the heightIf the rectangle's diagonal measurement is 65 inches , find the height. Give your answer rounded to 1 decimal place.
Answers
The height of the rectangle is approximately 15.5 inches.
Let's call the height of the rectangle "h". We know that the width is 47 inches longer than the height, so the width can be expressed as "h + 47".
We can use the Pythagorean theorem to solve for the height. The Pythagorean theorem states that for a right triangle with legs of length "a" and "b" and hypotenuse of length "c", a^2 + b^2 = c^2.
In this case, we can consider the rectangle to be a right triangle, with the height as one leg, the width as the other leg, and the diagonal as the hypotenuse. So we can write:
h^2 + (h + 47)^2 = 65^2
Simplifying this equation gives:
2h^2 + 94h - 1476 = 0
We can solve for "h" using the quadratic formula:
h = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 2, b = 94, and c = -1476. Plugging these values into the quadratic formula gives:
h = (-94 ± sqrt(94^2 - 4(2)(-1476))) / 4
Simplifying this expression gives:
h = (-94 ± sqrt(10084)) / 4
h = (-94 ± 100.42) / 4
h = -48.6 or 15.42
Since the height of the rectangle cannot be negative, we can discard the negative solution. Therefore, the height of the rectangle is approximately 15.5 inches.
31. Escribe el grado y el término independiente
de cada uno de los siguientes polinomios:
a. P(x) = 2x42x³ - 3x² + 7
b. Q(x) = -x³ + 5x²-3x + 1
Answers
The degree and the independent term of each of the following polynomials include the following;
Degree of P(x) is 4.
Independent term of P(x) is 7.
Degree of Q(x) is 3
Independent term of Q(x) is 1.
What is a polynomial function?In Mathematics, a polynomial function simply refers to a type of mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations.
Generally speaking, the degree of a polynomial function is sometimes referred to as an absolute degree and it is the greatest exponent (leading coefficient) of each of its term.
Additionally, the independent term is a number that isn't accompanied by any variable i.e it is a constant.
P(x) = 2x⁴ - 2x³ - 3x² + 7; degree = 4 and independent term = 7.
Q(x) = -x³ + 5x²-3x + 1; degree = 3 and independent term = 1.
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Complete Question:
Write the degree and the independent term of each of the following polynomials.
A coin is flipped 10 times and the sequence of heads and tails recorded. In how many ways can a sequence consist of exactly 3 heads and the rest tails?
Answers
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where:
- P(X=k) is the probability of getting exactly k successes
- n is the total number of trials
- k is the number of successes
- p is the probability of success in one trial
- (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items
In this problem, we want to find the number of ways to get exactly 3 heads in 10 coin flips. The probability of getting a head in one coin flip is 1/2, so p=1/2. The number of trials is n=10, and the number of successes we want is k=3. Plugging these values into the formula, we get:
P(X=3) = (10 choose 3) * (1/2)^3 * (1/2)^(10-3)
= (10! / (3! * 7!)) * (1/2)^10
= 120 * (1/2)^10
= 0.1171875
Therefore, there are 0.1171875 ways to get exactly 3 heads in 10 coin flips. Since we can't have a fraction of a sequence, we can say that there is only 1 way to get exactly 3 heads in 10 coin flips (since there is only one sequence that satisfies this condition).
there are 120 different ways a sequence of 10 coin flips can consist of exactly 3 heads and the rest tails.
To solve this problem, we can use the formula for combinations. The number of ways to choose k items from a set of n items is given by the formula n choose k, which is written as C(n,k) or sometimes as nCk.
In this case, we want to choose 3 heads from a set of 10 coin flips. The number of ways to do this is C(10,3) = 120.
Once we have chosen the 3 heads, the remaining 7 flips must all be tails. There is only one way to arrange 7 tails, since they are all the same.
Therefore, the total number of sequences that consist of exactly 3 heads and the rest tails is 120.
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really short question please help
Answers
Answer:2^4=4x-4 would be the answer
Step-by-step explanation: You would exponentiate both sides
The diameter of a circle is 28 millimeters. What is the circle's circumference?
Answers
Answer:
87.9646 millimeters.
Step-by-step explanation:
The circumference (C) of a circle is given by the formula:
C = πd
Where d is the diameter of the circle and π (pi) is a mathematical constant approximately equal to: 3.14159.
In this case, the diameter of the circle is given as 28 millimeters, so we can substitute this value into the formula to find the circumference:
C = πd = π(28 mm) = 87.9646 mm (rounded to 4 decimal places)
Therefore, the circumference of the circle is approximately 87.9646 millimeters.
Help me please. !! Asap
Answers
Answer:
36cm
Step-by-step explanation:
The lightning bolt on the right is 3 times bigger than the one on the left. You can tell this because that leftside, vertical-ish piece (on both of them) is labelled. The small one is 25cm and the big one is 75cm.
25 × 3 = 75
The bottom right side is 12cm, so times by 3 to find the bigger one that matches.
12 × 3 = 36
PLEASE HELP ASAP
The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing exponentially?
x f(x) g(x)
1 3 3
2 6 9
3 11 27
4 18 81
5 27 243
f(x), because it eventually exceeds g(x)
g(x), because it eventually exceeds f(x)
f(x), because it eventually intersects g(x)
g(x), because it will not intersect f(x)
Answers
The function that is most likely increase exponentially is f(x). Because it eventually exceeds g(x)
To determine which function is most likely increasing exponentially, we need to compare the rate at which the two functions are increasing.
Looking at the table, we can see that as x increases, f(x) increases at a faster rate than g(x). In fact, f(x) eventually exceeds g(x) for x values greater than or equal to 5. This suggests that f(x) is increasing at an exponential rate.
On the other hand, g(x) is increasing at a much slower rate than f(x). Although g(x) is also increasing, it does not appear to be increasing exponentially. In fact, g(x) will never exceed f(x), because f(x) grows at a faster rate.
Therefore, the function that is most likely increase exponentially is f(x).
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[1/5x-4+2y]+[2/5x+5-4y]
35 POINTS BY THE WAY
Answers
Answer: [1/5x-4+2y]+[2/5x+5-4y] simplifies to 3/5x - 2y + 1.
Step-by-step explanation:
To simplify the given expression, we need to combine like terms.
The like terms are the ones with the same variable parts.
Let's first simplify the expression inside the brackets separately:
[1/5x-4+2y] = 1/5x + 2y - 4
[2/5x+5-4y] = 2/5x - 4y + 5
Now, we can combine the simplified expressions:
[1/5x + 2y - 4] + [2/5x - 4y + 5]
= 1/5x + 2y - 4 + 2/5x - 4y + 5
= (1/5 + 2/5)x + (2y - 4y) - 4 + 5
= 3/5x - 2y + 1
Therefore, [1/5x-4+2y]+[2/5x+5-4y] simplifies to 3/5x - 2y + 1.
What is the length of the hypotenuse of the triangle when x=9 now!!!
Answers
The concept Pythagoras theorem is used here to determine the length of the hypotenuse. It is an important theorem which explains the relation between the sides of a right angled triangle. The length of hypotenuse is
According to Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides. The sides of this triangle have been named perpendicular base and hypotenuse.
Hypotenuse² = Perpendicular² + Base²
9² + 4² = 97
√97 = 9.84 cm
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Your question is incomplete most probably your full question was:
What is the length of the hypotenuse of the triangle when x=9 now and other side y = 4.
$1500 is deposited in an account with 6%
interest rate, compounded continuously.
What is the balance after 5 years?
F = $[?]
Round to the nearest cent.
Enter
Answers
The balance after 5 years, if $1500 is deposited in an account with 6%
interest rate, compounded continuously is calculated as: $2,024.79.
How to Calculate Compound Interest?The formula for calculating the balance (F) in a continuously compounded account is:
[tex]F = Pe^{(rt)}[/tex]
where we have:
P is the principal amount,
e is the mathematical constant approximately equal to 2.71828, and
r is the interest rate, and t is the time in years.
In this case, P = $1500, r = 6%, and t = 5 years.
Plug these values into the formula and solve for F:
F = 1500e^(0.065)
F = 1500e^0.3
F = 15001.34985880758
F = $2,024.79 (rounded to the nearest cent)
Therefore, the balance after 5 years is $2,024.79.
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Many banks charge for out of network ATM use. Out of network ATMs are ones provided by someone other
than your bank. While you're away at college, you will have to rely on these out of network ATMs if your local bank does not have a branch near your school.
Compare the following checking account fee structures.
Hometown National Bank
Monthly
Maintenance Fee
$5.00
Out of Network
ATM Charge
$2.00
Freedom Bank
$1.00
out of network ATM charge
$3.00
1. Which bank offers a better fee structure for a month of usage? Describe your reasons.
2. Is one bank ALWAYS better? What factors might affect which bank has the better fee
structure?
I
3. How could you avoid these fees if you are away at school without access to a local branch?
4. Find a partner and discuss your bank choices. Write down how you could best compare the two
fee structures.
Answers
The choice between Hometown National Bank and Freedom Bank depends on usage. Should you use out-of-network ATMs with regularity, the former may be favored due to its lower ATM charge. Otherwise, if these visits are sporadic, the latter might reign superior in regards to its maintenance fee.
How to determine the best bank to use
Still, no financial institution can be deemed unequivocally better. Additional variables influencing this decision could include the frequency of out-of-network ATM travel, one's account balance, as well as any supplementary services each establishment may supply.
In order to safeguard yourself against fees, consider utilizing in-network ATMs, mobile banking, or taking advantage of cashback options offered when making purchases from retailers.
By calculating total fees for each bank, estimating monthly out-of-network ATM activity, and factoring in other services and one's individual preferences, it is possible to determine which establishment best suits your needs.
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Here’s is a graph of the function f.
Use the graph to find the following.
If there is more than one answer, separate them with commas
Answers
Answer:
The local minima are 1 and -2
The values at which the function f has a local minimum are -3 and 4
Step-by-step explanation:
Main Concepts:
Brief side-discussion about local vs global minimums
Concept 1. What a Local minimum is
Concept 2. Where a local minimum is at
Brief side-discussion: a Local minimum vs Absolute or Global minimum
A local minimum is the height of any "low" point on a continuous section of the function where all of the points "near" it are higher.
In contrast, an Absolute minimum (sometimes called a "global minimum"), is the lowest height the function ever reaches.
Concept 1. What a Local minimum is
This problem is asking about local minimums, of which there are two:
the height of the point in the trough on the leftthe height of the point in the trough on the right"The Local minimum value" itself IS the height of the point (the "y"-value).
The point on the left has coordinates (-3,1), and the point on the right has coordinates (4,-2).
So, the local minima are 1 and -2
Concept 2. Where a local minimum is at
The minima are different from "The values AT which the function has a local minimum" which is the input (or, "x"-value) that will produce that output when put into the function.
So, the values at which the function f has a local minimum are -3 and 4
A triangle with coordinates (0,0), (0, 7) and (6,0) is rotated 360 degrees about the x-axis. What is the volume of the figure created in cubic units?
Answers
The volume of the figure created is 98 cubic units.
Given that:
A triangle with coordinates (0,0), (0, 7), and (6,0) is rotated 360 degrees about the x-axis.
A cone is formed when a triangle rotates. Then the volume created is calculated as,
V = 1/3 x 7² x 6
V = 49 x 2
V = 98 cubic units
The volume is 98 cubic units.
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4. Solve for x ONLY *
Find the value of each variable.
Answers
Check the picture below.
Case 4.11
>Suppose Big D, Inc. just paid a dividend of $.50. It is expected to increase its dividend by 2% per year.
If the market requires a return of 15% on assets of this risk, how much should the stock be selling for?
Answers
If the market requires a return of 15% on assets of this risk, the stock should be selling for $3.92.
How much should the stock be sold for?We can calculate the stock price using the dividend discount model with the following formula: "Stock Price = Dividend / (Required Rate of Return - Dividend Growth Rate)".
Data:
Dividend = $0.50
Increase its dividend by 2% per year.
The next dividend (D1) can be calculated as:
D1 = D0 x (1 + Dividend Growth Rate)
D1 = $0.50 x (1 + 0.02)
D1 = $0.51
Using these values, we can calculate the stock price as follows:
= $0.51 / (0.15 - 0.02)
= $0.51 / 0.13
= $3.92.
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Caitlyn went to the store to buy school clothes. She had a store credit in the amount of$39.58. if she bought 4 of the same show in different colors and spent $52.22 after the store credit was taken off her total, what was the price of each shirt she bought. Write and solve an equation with integer and coefficients.
Answers
The price of each shirt she bought is $3.16
What was the price of each shirt she boughtFrom the question, we have the following parameters that can be used in our computation:
Store credit = $39.58
Items = 4
Amount spent = 52.22
The price of each shirt (x) she bought is calculated using
4 * x + Store credit = Amount spent
So, we have
4x + 39.58 = 52.22
Evaluate
x = 3.16
Hence, the price of each shirt she bought is 3.16
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13.2.7 Check Your Understanding A savings account earns an Interest rate of 3.75% compounded semi-annually for an account with an initial deposit of $895. How much money will be in the account after 10 years? Round your answer to the nearest hundredth.
Answers
The amount of money that will be in the account after 10 years is: $1297.70
How to solve Compound Interest Problems?The formula for solving compound interest is expressed as:
A = P(1 + r/n)^(nt)
where:
A is Accrued amount (equal to principal added to interest)
P is the Principal amount
r is the annual nominal interest rate expressed as a decimal
R is termed as the annual nominal interest rate which is expressed as a percentage
r is equal to R/100
n is the number of the compounding periods per unit of the time
t is the time which is expressed in decimal years
We are given:
r = 0.0375
n = 2 times per year
t = 10 years
P = $895
Thus:
A = 895(1 + 0.0375/2)^(2 * 10)
A = $1297.70
Thus, that is the money that will be in the account after a period of 10 years
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What alternation did John Singer Sargent make to Madame X (1883-1884), his most controversial painting?
he added her wedding ring
Ohe painted a diamond crescent to her hairstyle
Ohe repainted the right strap
Ohe repainted her face
Answers
Answer:
Ohe repainted the right strap.
Breanna and Qasim plan to send their daughter to university. To pay for this they will contribute 8 equal yearly payments to an account bearing interest at the APR of 4%, compounded annually. Five years after their last contribution, they will begin the first of five, yearly, withdrawals of $51,100 to pay the university's bills. How large must their yearly contributions be?
Answers
Breanna and Qasim must contribute $22,583.39 per year for eight years to have enough money to pay for their daughter's university education.
To determine the yearly contribution required for Breanna and Qasim, we need to use the present value formula for an annuity.
The formula is:
PV = C * ((1 - (1 + r)⁻ⁿ) / r)
Where PV is the present value of the annuity, C is the annual contribution, r is the annual interest rate, and n is the number of years.
First, we need to calculate the present value of the contributions that Breanna and Qasim make for the first eight years. We can use the formula:
PV = C * ((1 - (1 + r)⁻ⁿ) / r)
Where C is the annual contribution, r is the annual interest rate, n is the number of years, and PV is the present value of the contributions.
We know that the annual contribution is the same for each of the eight years, so we can simplify the formula to:
PV = C * (((1 - (1 + r)⁻ⁿ) / r))
The present value of the contributions is equal to the future value of the withdrawals five years after the last contribution. We can use the future value formula for an annuity to calculate this:
FV = R * ((1 + r)ⁿ - 1) / r
Where FV is the future value, R is the annual withdrawal, r is the annual interest rate, and n is the number of years.
We know that the future value of the withdrawals is $51,100 per year, the interest rate is 4%, and the number of years is 5.
FV = 51,100 * ((1 + 0.04)⁵ - 1) / 0.04 = $246,387.19
This is the present value of the contributions that Breanna and Qasim make over the first eight years. We can now solve for the annual contribution required using the present value formula:
PV = C * (((1 - (1 + r)⁻ⁿ) / r))
$246,387.19 = C * (((1 - (1 + 0.04)⁻⁸) / 0.04))
C = $22,583.39
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Assignment
Practice using function notation.
The values in the table represent a function.
f(x)
x
-6
7
4
3
-5
8
3
-5
-2
12
Use the drop-down menus to complete the statements.
The ordered pair given in the first row of the table can
be written using function notation as
f(3) is
f(x) = -5 when x is
Answers
Using function notation on the table, we can say that:
f(3) = -2
When f(x) = -5, x = 4
How to write function notation?Function notation is defined as a way of expressing a relationship between two variables.
From the given table, we see that:
when x = -6, f(x) = 8
when x = 7, f(x) = 3
when x = 4, f(x) = -5
when x = 3, f(x) = -2
when x = -5, f(x) = 12
Thus, we can say that:
f(3) = -2
When f(x) = -5, x = 4
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3/4w is less than or equal to 24 graph and solve the ineguality
Answers
The inequality that represents the situation is w ≥ 32.
To graph the inequality, we first need to solve it for w:
3/4w ≤ 24
We can isolate w by multiplying both sides by 4/3 (which is the reciprocal of 3/4), remembering to reverse the inequality because we're multiplying by a negative number:
w ≥ 24 × 4/3
w ≥ 32
So the solution to the inequality is w ≥ 32.
To graph this, we draw a number line and put a closed circle at 32 (because the inequality includes "equal to"), and shade to the right of 32 to represent all the values that satisfy the inequality given in the attached image.
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A pair of shoes usually sells for $67. If the shoes are 20% off, and sales tax is 5%, what is the total price of the shoes, including tax?
Answers
Answer:
If the shoes are 20% off, then the sale price of the shoes will be:
67 - 0.20 * 67 = 67 - 13.40 = 53.60
So the sale price of the shoes is $53.60.
If the sales tax is 5%, then the tax on the shoes will be:
0.05 * 53.60 = 2.68
So the tax on the shoes is $2.68.
To find the total price of the shoes including tax, we need to add the sale price of the shoes and the tax:
53.60 + 2.68 = 56.28
Therefore, the total price of the shoes, including tax, is $56.28.
Answer:
$56.28
Step-by-step explanation:
1. Find the shoes' sale price.
The shoes are 20% off. We will find the new price by first finding 20% of $67.
An easy way to do it:
10% of 67 = 6.7
20% of 67 = 13.4
to double the percentage of the first equation, double the answer.
Now that we know 20% of 67 we can take away 20% from it:
67 - 13.4 =53.6
Money uses 2 decimal points so we will add a 0 at the end of the result.
The price of the shoes with only the sale is $53.60.
2. Add sales tax
First find out 5% of $53.60.
An easy way to do it:
10% of 53.60 = 5.360
5% of 53.60 = 2.68
to half the percentage of the first equation, half the answer.
Now that we know the price of the tax we can add it to our shoe price. With the sale the shoe costs $53.60 and we will add our tax:
53.60 + 2.68 = 56.28
Add your units:
$56.28I need help with this question
Answers
The graph of the system of inequalities is on the image at the end.
How to graph the system of inequalities?Here we have the system of inequalities:
y > -2x + 9
y < 5x - 6
First we need to graph both of these lines with dashed lines (that is because the values on top of the lines are not solutions for the inequalities).
Then we need to shade the region above the first line, and the region below the second line.
Thenh the graph of the system is the one you can see in the image at the end.
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If Matt's share is 20 % less than Kate's , how much is Kate's share more than Matt's ? A. 50 % B. 33.33 % C. 25 % D. 20 %
Answers
Answer:
20% (D)
Step-by-step explanation:
At least I think
Consider the quadratic equation 4x² - 11x-3-0. Which of the following shows
this equation rewritten and ready to solve using factoring by grouping?
Answers
The factorized form of the quadratic equation is:
4(x - 3)*(x + 0.25) = 0
Which is the factorized form of the quadratic?The quadratic equation is 4x² - 11x -3 = 0
To do that, we need to find the zeros, so let's use the quadratic formula:
[tex]x = \frac{11 \pm \sqrt{(-11)^2 - 4*4*-3} }{2*4} \\\\x = \frac{11 \pm 13 }{8}[/tex]
Then the two roots are:
x = (11 + 13)/8 = 3
x = (11 - 13)/8 = -2/8 = -0.25
Then the factorized form is:
4(x - 3)*(x + 0.25) = 0
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