Answer:
addition, subtraction, multiplication
Step-by-step explanation:
If you add two polynomials, the result is a polynomial. If you subtract two polynomials, the result is a polynomial. If you multiply two polynomials, the result is a polynomial.
Plz help me answer this.
Answer:
Step-by-step explanation:
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the vertices of the rectangle are located at (2, 1), (2, 4) and (4.4). a What are the coordinates of the fourth vertex of the rectangle? b. What are the dimensions of the rectangle? c What is the area of the rectangle?
You have 2 points with the same x value of 2 and 2 points with the same y value of 4.
You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.
The missing point would need to be (4,1)
The width would be x2-x1 = 4-2 = 2 units
The length would be y2-y1 = 4-1 = 3 units
Area = 3x 2 = 6 square units
When Sam simplified the expression 3.5 - (-4.1), she got -0.6.
What mistake did Sam likely make when she simplified
the expression?
Answer:
She forgot to combine the 2 negative signs and turn it into a positive.
Step-by-step explanation:
When you subtract a negative, you are adding the number. So if we have 3.5 - (-4.1), it would equal 3.5 + 4.1, which is 7.6
Answer:
She subtracted a negative incorrectly by simply subtracting a positive when subtracting a negative means to add a positive.
Step-by-step explanation:
She subtracted 3.5 - 4.1 which is -0.6
The problem is subtracting -4.1 which means to add 4.1
3.5 - (-4.1) = 3.5 + 4.1 = 7.6
She did: 3.5 - (-4.1) = 3.5 - 4.1 = -0.6 which is incorrect.
8. Write a paragraph proof.
Proof Given: In a plane, a is perpendicular to b, b id perpendicular to c, and c || d.
Prove: a || d
To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.
Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.
Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.
By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.
Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.
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If y = 6x + 1, find y when x = 9
Answer:
55
Step-by-step explanation:
if x=9 and y = 6x + 1
then all what you have to do is that you should substitute x by 9 in y equation as the following,
y = 6*(9) + 1 =54 + 1 = 55
Answer:
55
Step-by-step explanation:
Given,
y = 6(x)+1
x = 9Substituting x= 9 on the given expression,
y = 6(9)+1y = 54 + 1y = 55Hence y = 55.
Mrs. Blake's bill at a restaurant was $172.75. She wants to leave the waiter a 16% tip. There is also a 7.5% sales tax. Write an equation and solve for the total bill amount.
Answer:
$213.35
Step-by-step explanation:
Find the tip: 172.75*0.16 = 27.64Find the sales tax: 172.75*0.075 = 12.95625 which you can round to 12.96total bill = sales tax + tip + original billplug in to the equation above and get total bill = $213.35Twelve cards are numbered from 1 to 12 and placed in a box. One card is selected at random and not replaced. Another is randomly selected. What is the probability of selecting two even numbers?
In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:
In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).
The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22
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Draw the image of TUV after a reflection across the y-axis. Label the image T’U’V’. What are coordinates of each point?
Answer:
T' (-3,5)
U' (-4,3)
V' (-1,2)
ezekiel has $250 in his bank account
The area of a rectanugle is 105 square cetimeters. The width of the rectangle is 7 centimeters. what is the
length = area / width
Length = 105/7
length = 15 cm
Work out the length of AG in the cuboid below.
The length of the AG in the cuboid is 7.56 cm.
Finding the length diagonal of the cuboid:To find the Length of the diagonal AG, we need to find the length of AC. Use the Pythagorean formula to find the length of AC. Now use the trigonometric ratios formulas to find the length of AG.
Here we have a cuboid
Where AD = 23 cm, DC = 18 cm and ∠GAC = 75°
From the right angle triangle, ADC
=> AC² = AD² + DC² [ Using the Pythagorean formula ]
=> AC² = (23)² + (18)²
=> AC² = 529 + 324
=> AC = √853 = 29.20
Hence, the length of AC = 29.20
From the right angle triangle, AGC
=> Cos B = AC/AG
=> Cos 75° = 29.20/AG
=> AG = Cos 75° (29.20)
=> AG = (0.26)(29.20)
=> AG = 7.56
Therefore
The length of the AG in the cuboid is 7.56 cm.
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A rectangular prism has a length of 14 centimeters, a height of 4 1 2 centimeters, and a volume of 756 cubic centimeters. What is the width of the prism? Write your answer as a whole number, proper fraction, or mixed number.
The width of the prism is, 12 centimeter.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
A rectangular prism has a length of 14 centimeters, a height of 4 1/2 centimeters, and a volume of 756 cubic centimeters.
Let the width of the prism = x
Now, We know that;
⇒ Volume of prism = Length × Width × Height
Substitute all the given values, we get;
⇒ 756 = 14 × x × 4 1/2
⇒ 756 = 14 × 9/2 × x
⇒ 756 = 63x
⇒ x = 756 / 63
⇒ x = 12 centimeter
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HOW DO YOU DO 12/60 PLZ IF YOU CAN CAN YOU GO STEP BY STEP THAT I CAN DO I HAVE TO SIMPLIFY AND IM IN 6TH GRADE HELP PLZ ASAP
Answer:
i need help with that to
Step-by-step explanation:
Answer:
12/60 simplified is 1/5
Step-by-step explanation:
The most common way to simplify is to divide, as the / is a sign to divide, meaning 12/60 translates to 60 divided by 12. Hope you understand :)
ASAP NEDDDD HELPPPPPP
By translation, the image of the triangle X is equivalent to the triangle E.
How to determine the image of a figure by rigid transformations
Herein we find the representation of a triangle, whose vertices are described below:
A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)
Whose image must be determined by a rigid transformation known as translation:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original point.P'(x, y) - Image of the point.T(x, y) - Translation vector.Now we proceed to determine the images of the vertices of the triangle:
A'(x, y) = (5, 5) + (4, - 3)
A'(x, y) = (9, 2)
B'(x, y) = (5, 6) + (4, - 3)
B'(x, y) = (9, 3)
C'(x, y) = (7, 5) + (4, - 3)
C'(x, y) = (11, 2)
Therefore, the triangle E is the image of the triangle X.
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Match the equations with the correct solution.
a. All real numbers
b. x=-2
c. x=3
d. no solution
e. x=1
1. 3 x+4=7 x-8
2. 2 x=7 x-5
3. 5 x-8=5 x+12
The linear equation 3 · x + 4 = 7 · x - 8 has solution x = 3. (Correct choice: C)
The linear equation 2 · x = 7 · x - 5 has solution x = 1. (Correct choice: E)
The linear equation 5 · x - 8 = 5 · x + 12 has no solution. (Correct choice: D)
How to find the solutions of linear equations
In this question we find three linear equations with one variable, whose corresponding solution must be determined by using algebra properties. The complete procedure is summarized below:
Write the linear equation.Clear the variable by algebra properties.Interpret the resulting expression.Now we proceed to apply the procedure for each case:
Case 1
3 · x + 4 = 7 · x - 8
7 · x - 3 · x = 8 + 4
4 · x = 12
x = 3
The linear equation has an unique solution (x = 3). (Correct choice: C)
Case 2
2 · x = 7 · x - 5
7 · x - 2 · x = 5
5 · x = 5
x = 1
The linear equation has an unique solution (x = 1). (Correct choice: E)
Case 3
5 · x - 8 = 5 · x + 12
5 · x - 5 · x = 8 + 12
0 = 20 (CRASH!)
The linear equation has no solution. (Correct choice: D)
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Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is
%.
The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.
To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.
First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.
Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.
The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.
(3/10) * 100 = 0.3 * 100 = 30%
Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.
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Find two square numbers that total 45
plsss explain nd i’ll give brainliest answer
Answer: 118
Step-by-step explanation:
Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.
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Find the least number which should be Subtracted from 56037 so that the difference is exactly divisible by 139.
Answer:
Answer will be 55898.
Step-by-step explanation:
Luisa is solving an equation on the bottom of a page. The corner of the page where the
equation is written is torn off as shown below.
7(x + 3) = 7(x + 5)
Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solu-
tions. What must be the missing number?
A 2
B 14
C 21
D 35
To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:
7x + 21 = 7x + 35
Subtracting 7x from both sides, we get:
21 = 35
This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.
However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.
Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:
7(5 - 3) = 14
Therefore, the missing number is 14, which corresponds to answer option B.
write the product in standard form (2x + 5) ^2
Answer:
4x^2+20x+25
Step-by-step explanation:
(2x+5)^2 = (2x+5) (2x+5)
Using the foil method : 2x(2x) = 4x^2
(2x) (5) = 10x
(2x) (5) = 10x
5 (5) = 25
Combine like terms
63 :(5X - 3X - 1)=21:3
Answer:
x = 5
Step-by-step explanation:
Given that,
\(63:(5x-3x-1)=21:3\\\\or\\\\\dfrac{63}{(5x-3x-1)}=\dfrac{21}{3}\\\\\dfrac{63}{(2x-1)}=7\)
Cross multiplying both sides,
\(63=7(2x-1)\\\\9=2x-1\)
Taking like terms together,
\(10=2x\\\\x=5\)
So, the value of x is equal to 5.
How many fourths are there in 1 3/4?
Answer:
12 one fourths
Step-by-step explanation:
There 3 × 1 1 / 4 = 3 × 4 = 12 one fourths in 3 .
Answer:
7
Step-by-step explanation:
1 3/4 = (4+3)/4 = 7/4 = 7 fourths
1.Use the Pythagorean Theorem to find AD and DC. Then find AC using addition. Show your calculations.
Answer:
c=a2+b2=102+172≈19.72308
Step-by-step explanation:
a calculator bro its easy
For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton how many parts must the factory produce so that there is1 ton of scrap aluminum for recycling
The factory must produce 6,400 parts so that there is 1 ton of scrap aluminum for recycling.
It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling
What is a Ratio?
A quantitative relation between two amounts showing the number of times one value contains in another
1 part produced ⇒ 5 ounces scrap aluminium recycled.
So, the ratio of parts produced : Scrap of aluminium = 1 : 5 .... (a)
Let us assume for m parts produced , 1 ton of scrap is recycled.
Also, 1 ton = 2, 000 pounds
and 1 pound = 16 ounces
⇒ 1 ton = 2000 x (16 ounces) = 32,000 ounces
So, for m parts made in the factory, 32,000 ounces scrap is recycled.
So, the ratio of parts produced : Scrap of aluminium = m : 32,000 .... (b)
From both the given ratio, we get
1 : 5 = m : 32,000
m=32000/5
m=6400
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Mike’s dinner bill is $60. He leaves 15% for gratuity and sales tax is 5%. What was his total cost?
PLS SHOW WORK
Answer:
16
Step-by-step explanation:
Basically,
1st step: Look at the key words 5%, 60%, total cost, 15%.
Next, divide 60/15 (=4)
Then, divide 60/5 (=12)
Now, you add up 4 + 12 (=16)
Then, you lastly subtract 60 - 16 (=44)
And, they were asking for the total cost of the tax and tip (16)
So, your answer is 16!
Hope I could help! :D
Let me know if you have any problems understanding, I will be very glad to help you.
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Answer:
hdisiejehe
Step-by-step explanation:
step sister
What is the total cost of 20 books at R25 each?
Answer:
R500
Step-by-step explanation:
20 books x R25 each = R500.
Out of 6,000 people, 4,500 said they spend over 20 hours per week on their phones. Construct a 75% confidence interval for the population mean of people that spend over 20 hours per week on their phones.
CI = (73.98%, 75.54%)
CI = (74.36%, 75.64%)
CI = (73.23%, 75.01%)
CI = (74.01%, 75.92%)
Using the z-distribution, as we are working with a proportion, it is found that the 75% confidence interval for the population mean of people that spend over 20 hours per week on their phones is given by:
CI = (74.36%, 75.64%).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.In this problem, the parameters are:
\(n = 6000, \pi = \frac{4500}{6000} = 0.75, z = 1.15\)
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.15\sqrt{\frac{0.75(0.25)}{6000}} = 0.7436\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.15\sqrt{\frac{0.75(0.25)}{6000}} = 0.7564\)
Using percentages, the interval is given by:
CI = (74.36%, 75.64%).
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