Answer:
I'll help
Step-by-step explanation:
the entrance fee to the skating rink=$5
each minute the skater uses the rink costs=$0.25
73733736635363363636464
According to the problem, the principal is $800, that's the investment.
For the first case (a), we have a simple interest rate of 4% and a time of 3 years. Let's use the simple interest formula
\(A=P(1+rt)\)Then, let's replace the given values
\(A=800(1+0.04\cdot3)=800(1+0.12)=800(1.12)=896\)They will have $896.
On the other hand, for the second case (b), the compound interest is 3% compounded annually for 5 years. Let's use the compound interest formula
\(A=P(1+\frac{r}{n})^{n\cdot t}\)Where P = 800, r = 0.03, n = 1, and t = 5.
\(\begin{gathered} A=800(1+\frac{0.03}{1})^{1\cdot5} \\ A=800(1.03)^5=927.42 \end{gathered}\)Hence, they will have $927.42 if the interest compounds annually.
Which number is on the y-axis (4,6)
Answer:
6
Step-by-step explanation:
Expand the following equation: (2x - 3)²
A. O4x² - 9
B. O4x² +9
C. 2x² 12x + 9
D. O4x² 12x + 9
Answer:
D is the answer
(2x - 3) ( 2x - 3)
(2x × 2x ) + (-3 × 2x) + (2x × 3) + ( -3 × -3 )
4x^2 + -6x + -6x + 9
4x^2 - 6x - 6x + 9
4x^2 - 12x + 9
Find the length of the third side to the nearest tenth.
Kenny reads 5/8 pages of his book in 2/3 minutes. How many pages will Kenny read in one minute answer as fraction
Answer:
15/16
Step-by-step explanation:
The unit rate is pages per minute, so divide the pages by the minutes:
(5/8)/(2/3) = (5/8)·(3/2) = 15/16 pages per minute
Which is the simplified form of m ^-8 p^0
Answer:
Step-by-step explanation:
m−^8p^0
=1/m^8
How can I factor the following expression by grouping:
a) 4x^3 - 2x^2 + 8x - 4
The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping
How to factor the expression by groupingFrom the question, we have the following parameters that can be used in our computation:
4x³ - 2x² + 8x - 4
Group the expression in 2's
So, we have
(4x³ - 2x²) + (8x - 4)
Factorize each group
2x²(2x - 1) + 4(2x - 1)
So, we have
(2x² + 4)(2x - 1)
Hence, the factored expression is (2x² + 4)(2x - 1)
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32. Jimmy is putting down carpet in a square-shaped room. The floor has an area of
90 square feet. Jimmy knows that the side length of the floor must be √90 feet.
Which statement about the value of √90 feet is true?
A. √90 feet is between 9 feet and 10 feet but is closer to 9 feet.
B. √90 feet is between 9 feet and 10 feet but is closer to 10 feet.
C. √90 feet-45 feet
D. √90 feet = 8100 feet
Answer:
The correct answer is A.
Step-by-step explanation:
The correct answer is A.
To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.
For each set of equivalent expressions, match the specific property that justifies each equivalence.
(PLEASE TELL ME WHICH ONE IS WRONG)
Answer:
Number 4
Step-by-step explanation:
Cummalative property of mulitplication is the correct answer.
PLSSSSS HELPPPPPP!!!!!!
Gloves required at various departments for workers of a fertilizer factory for a
month are given.
Stem Leaf
45 0 2 4 5 8
50 0 5 5 8 9
65 2 2 2 4
70 0 0 6
Answer:
Stem Leaf
0 0 0 0 0 2 2 2 2 4 4 5 5 5 6 8 8 9
1
2
3
4 5
5 0
6 5
7 0
Basic Statistics:
Minimum: 0
Maximum: 70
Range: 70
Count: 21
Sum: 292
Mean: 13.9
Median: 5
Mode: 0, 2
Standard Deviation: 22.31
Variance: 497.9
Step-by-step explanation:
Divide x3 + 5x2 + 5x – 3 by x + 3
Answer:
\(x^{2} + 2x - 1\)
Step-by-step explanation:
We are solving for :
\(\frac{x^{3}+ 5x^{2} + 5x - 3 }{x + 3}\)
Factor \(x^{3} + 5x^{2} + 5x - 3 : (x + 3)(x^{2} + 2x - 1)\)
\(\frac{(x + 3)(x^{2} + 2x - 1)}{x + 3}\)
= \(x^{2} + 2x - 1\)
Translate the given statement into a linear equation in the form
ax + by = c using the indicated variable names. Do not try to solve the resulting equation.
The number of new clients (x) is 149% of the number of old clients (y).
On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y
what is a sequence?A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.
The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:
x = 1.49y
-1.49y + x = 0
-149y + 100x = 0
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The linear equation in the required form is: x - 1.49y = 0
What is linear equation?
A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:
y = mx + b
Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."
Using this information, we can write:
x = 1.49y
To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.
Subtracting 1.49y from both sides, we get:
x - 1.49y = 0
So the linear equation in the required form is:
x - 1.49y = 0
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If
f(x) = 2x² + 3x - 6, determine the value of f(2).
Answer:
8
Step-by-step explanation:
2x² + 3x - 6
plug in x with 2
2(2)^2+3(2)-6
2(4)+6-6
8+6-6
14-6
8
A. 11
B125
C. 275
D 450
Answer:
C
Step-by-step explanation:
duh
URGENT PLEASE HELP ME
The values of x in the absolute value function 5 - 9|4 - 8x| = -103 are (b) {-1, 2}
Calculating the value of x in the absolute value functionFrom the question, we have the following parameters that can be used in our computation:
5 - 9|4 - 8x| = -103
Subtract 5 from both sides of the equation
so, we have the following representation
- 9|4 - 8x| = -108
Divide both sides by -9
|4 - 8x| = 12
Remove the absolute bracket
Thisgives
4 - 8x = 12 or 4 - 8x = -12
So, we have
-8x = 8 or -8x = -16
Divide
x = -1 or x = 2
Hence, the values of x are (b) {-1, 2}
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For which inequality would x = 12 be a solution? x + 4s 12 12 = x= 12 12 - X 2 4 12 x < 200
Jordan buys coffee every morning. Each cup of coffee she buys is $5.50. If she has a coupon for 40% off, how did she pay for her coffee
Answer:
3.3
Step-by-step explanation:
You do 5.50 times .4o That will give you 2.2 Then you do 5.5-2.2 and that will give you a answer of 3.3
Which is true of the number 55,555?
A.Each digit has a value less than the value of the digit to its right and greater than the value of the digit to its left.
B.Each digit has a value 10 times the value of the digit to its right and 10 times the value of the digit to its left.
C.Each digit has a value 110 of the value of the digit to its right and 10 times the value of the digit to its left.
D.Each digit has a value 10 times the value of the digit to its right and 110 of the value of the digit to its left.
Answer:
D. Each digit has a value 10 times the value of the digit to its right and 1/10 of the value of the digit to its left
Step-by-step explanation:
Digits increase in value by a factor of 10 for each place you move to the left. Hence a digit to the right has 1/10 the value.
_____
Comment on place value
The multiplier for a base-10 (decimal) number system is 10 as you move one place to the left. In some other base, the multiplier is that base. In a binary (base-2) number system, each "bit" increases in value by a factor of 2 as you move to the left.
Therefore, the "Choice D" is the only correct answer.
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larry is wanting to place a fence diagonally to separate his yard from his neighbors what would the measurement of the fence need to be to fit in the yard picture below what is the length of the fence that runs diagonally what is the total meters of fencing will hr need for the entire triangle of his yard
Answer: You would have to know the number of yards separate from his neighbors yard to get the answer.
Step-by-step explanation:
For example if his yard was 50 yards from his neighbors than you would add that to the width. Length plus width to get your answer.
Hannah makes 5 out of 8 attempted free-throws! What is the average waiting time for Hannah to make her first basket, and what is the probability that she will make a basket on or before her last attempt within her average waiting time?
The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8
How can we interpret probability?Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;
Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);
When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;
Given:
Hannah makes 5 out of 8 attempted free-throws.
Now,
The average waiting time of hannah to make her first basket is 5/8
The probability of hannah making basket at her last attempt is 1/8
The probability of hannah making basket before her last attempt is 2/8
Hence, the probabilty will be 1/8 and 2/8;
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Which two of the following are appropriate methods to graph the line x + 4y = 8.
Two appropriate methods to graph the line x + 4y = 8 are the intercept method and the slope-intercept method.
1. Intercept Method:
To graph the line using the intercept method, we find the x-intercept and y-intercept of the equation x + 4y = 8.
To find the x-intercept, we set y = 0 and solve for x:
x + 4(0) = 8
x = 8
So, the x-intercept is (8, 0).
To find the y-intercept, we set x = 0 and solve for y:
0 + 4y = 8
4y = 8
y = 2
So, the y-intercept is (0, 2).
Plotting the x-intercept and y-intercept on a graph, we can draw a straight line passing through these two points to represent the equation x + 4y = 8.
2. Slope-Intercept Method:
To graph the line using the slope-intercept method, we can rewrite the equation x + 4y = 8 in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
Rearranging the given equation:
4y = -x + 8
y = (-1/4)x + 2
Now we can identify the slope, which is -1/4, and the y-intercept, which is 2.
Starting at the y-intercept of (0, 2), we can move down 1 unit and to the right 4 units (using the slope) to plot another point. Connecting these two points will give us the graph of the line.
Both the intercept method and the slope-intercept method are appropriate ways to graph the line x + 4y = 8. The intercept method is useful when the x-intercept and y-intercept can be easily determined from the equation, while the slope-intercept method is helpful when the equation is already in the form y = mx + b, allowing us to directly identify the slope and y-intercept.
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The average horse requires 0.0333 Megacalories (Mcal) each day for every kilogram (kg) it weighs. If your horse weights 678 kg, and the food you are buying provides 810 kcal per pound of food, how many pounds of food do you need each day for your horse?
Use the following facts:
1000 kcal = 1 Mcal
1 pound food = 810 kcal
0.0333 Mcal = 1 kg horse
Round to the nearest whole number.
On solving the provided question, we can say that Therefore, you would need multiply approximately 27.84 pounds of food each day for your horse.
what is multiplyOne of the four mathematical operations, along with arithmetic, subtraction, and division, is multiplication. Mathematically, adding subgroups of identical size repeatedly is referred to as multiplication. The multiplication formula is multiplicand multiplier yields product. To be more precise, multiplicand: Initial number (factor). Number two as a divider (factor). The outcome is known as the result after dividing the multiplicand as well as the multiplier. Adding numbers involves making several additions. as in 5 x 4 Equals 5 x 5 x 5 x 5 = 20. 5 times by 4 is what I did. This is why the process of multiplying is sometimes called "doubling."
First, we need to convert the weight of the horse from kilograms to pounds, so:
678 kg x 2.20462 lbs/kg = 1495.69 lbs
Next, we need to calculate how many Mcal the horse needs per day:
0.0333 Mcal/kg x 678 kg = 22.58 Mcal/day
Then, we can convert the Mcal to kcal:
22.58 Mcal/day x 1000 kcal/Mcal = 22,580 kcal/day
Finally, we can divide the total daily kcal needed by the kcal per pound of food to find the total pounds of food needed:
22,580 kcal/day ÷ 810 kcal/lb = 27.84 lbs/day
Therefore, you would need approximately 27.84 pounds of food each day for your horse.
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In a diagram, ∠A and ∠B are vertical angles, and ∠B is a complementary angle with ∠C. If ∠A=22°, write an equation that you can use to solve for ∠C.
Answer:
22° + m<C = 90°
Step-by-step explanation:
Pre-SolvingWe are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.
We want to write an equation that will help us solve <C.
SolvingRecall that vertical angles are congruent by vertical angles theorem.
This means that <A ≅ <B; it also means that the measure of <B is also 22°.
Also recall that complementary angles add up to 90°.
This means that m<B + m<C = 90°.
Since we deduced that m<B is 22°, we can substitute that value into the equation.
Hence, an equation that can be used to solve for <C is:
22° + m<C = 90°
An aeroplane flies from a town X on a bearing of N45°E to another town Y, a distance of 200 km. It then changes course and flies to another town Z on a bearing of S60°E. If Z is directly east of X, calculate, correct to 3 significant figures, a the distance from X to Z by the distance from Y to XZ.
The distance from X to Z will be 386 km when rounded to 3 significant figures.
The distance from Y to XZ will be 141 km when rounded to 3 significant figures.
How to obtain the distancesTo obtain the distances, we need to extend the distances traveled by the airplane and this yields another triangular form. Angle Y = 105°, z = 200 km, and Z = 30°.
y/Sine Y = z/Sine Z
y/Sine 105° = 200/Sine 30°
y = 200 × 0.966/0.5
386 km to 3 significant figures
Also for the distance from Y to XZ,
We assume that the distance from Y to XZ is d
Sine 45°/1 = d/200
d = 200 sine 45°
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what is the reciprocal of 8?
Answer:1/8
Step-by-step explanation:
The reciprocal of a number is what you multiply by a number to give 1. Therefore
8x = 1
x = 1/8
What is −28r = 4r^2 quick please
Answer: r = -8
Step-by-step explanation: Evaluate the power, which is 16.
Now this gives you -2r = 16
Divide both sides by -2 and you get your answer r = -8
Find an equivalent fraction to 5/6 only.
Answers:
A) 2/4
B) 10/12
C) 11/6
D) 20/24
E) 50/60
Answer:
B D and E
Step-by-step explanation:
Remark
It's hard to know how to tackle this. I suppose the easiest way is to divide the numerator and denominator by a common factor.
2/4
The common factor is 2
Divide the 2 by 2 and the 4 by 2
2/2 = 1
4/2 = 2
The fraction reduces down the 1/2 which is not 5/6
10 / 12
The common factor is 2.
10/2 = 5
12/2 = 6
Looks like this is your answer. But is it the only one.
11/6
These two have no common factor. The answer is 11/6 which is not 5/6
20 / 24
The common factor of these two is 4
20/4 = 5
24/ 4 = 6
This is also = to 5/6
50 / 60
The common factor is 10
50/10 = 5
60/10 = 6
That's equal to 5/6 as well.
NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12
Answer: b = 11.62
Step-by-step explanation:
We can use this formula to solve for b:
\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)
\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)
\(b^2= \sqrt{144-9}\)
= 11.61895004
We can round that to 11.62.
Hope this helped!
(20x³ - 15x² -15x+16) / (5x ²-5x)
Answer:
4x + 1 - 2/x + 6/(20x³ - 15x² -15x+16)
Step-by-step explanation:
4x + 1 - 2/x + 6/(20x³ - 15x² -15x+16)
________________
5x ²-5x | 20x³ - 15x² -15x+16
1 -(20x³ - 20x²) ==> -15x²-(-20x²)= -15x²+20x² = 5x²
5x² - 15x
2 -(5x² - 5x) ==> -15x-(-5x)= -15x+5x = -10x
-10x+16
3 -(10x+10)
6 ==> 16-10 = 6
1: At step 1, (4x) * (5x²-5x) = (20x³ - 20x²)
2: At step 2, 1 * (5x² - 5x) = 5x² - 5x
3: At step 3, (2/x) * (5x² - 5x) = 10x+10
For any unit vectors v and w, find the dot products (actual numbers) of
(a) v and -v (b) v + w and v – w (c) v – 2w and v + 2w
a) The dot product of v and -v is -1.
b) The dot product of v + w and v – w is 2v.w
c) The dot product of v – 2w and v + 2w is 4||w||^2 - 4v.w
(a) For any unit vector v, the dot product of v and -v can be found as follows:
v · -v = ||v||||-v||cos(θ) = ||v||||v||cos(180°) = -||v||^2 = -1, where ||v|| represents the magnitude of the vector v and θ is the angle between the vectors.
Since v and -v are unit vectors, their magnitudes are equal to 1, so ||v||^2 = 1. Thus, the dot product of v and -v is -1.
(b) For any unit vectors v and w, the dot product of v + w and v – w can be found as follows:
(v + w) · (v – w) = ||v + w||||v – w||cos(θ) = (||v||||v|| + 2v · w + ||w||||w||)cos(θ) = 2v · w
where θ is the angle between the vectors v + w and v – w, and v · w is the dot product of v and w.
(c) For any unit vectors v and w, the dot product of v – 2w and v + 2w can be found as follows:
(v – 2w) · (v + 2w) = ||v – 2w||||v + 2w||cos(θ) = (||v||||v|| + 4||w||||w|| - 4v · w)cos(θ) = 4||w||^2 - 4v · w
where θ is the angle between the vectors v – 2w and v + 2w, and v · w is the dot product of v and w.
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