Answer:
A = 1.02 P
Step-by-step explanation:
A = P + 0.02P
Formula in Factorized form
(Taking P common)
A = P(1+0.02) [The required factorized from]
Then,
A = 1.02 P
what is the value of 0.48
Answer: 48% 48/100
depends on what you are asking for
Step-by-step explanation:
Answer:
Simplified: (48÷4)(100÷4) = 1225 when reduced to the simplest form. Fraction: 48/100, in simplest form, is 12/25. Percentage: 48%.
Step-by-step explanation:
The sector of a circle with a diameter of 8 feet has a central angle measure of 45°. What is the area of the sector?
A. π/2 ft²
B. π ft²
C. 2 π ft²
D. 8 π ft²
so, we know the diameter is 8, so that means its radius is half that, or 4.
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =45 \end{cases}\implies A=\cfrac{(45)\pi (4)^2}{360}\implies A=2\pi ~ft^2\)
Jason is solving a homework problem.
Arianna buys 4 boxes of granola bars. Each box contains 12 granola bars. Arianna eats 8 bars.
Jason writes a numerical expression to represent the situation. His expression, (12- 8) 4, has a mistake.
Complete the explanation of Jason's mistake.
and then subtracted 8 from this
Jason subtracted 8 from 12 when he should have multiplied 12 x
amount.
Enter an expression to show how many granola bars are left, and then solve it.
(12 x
- 8=
8=
Answer:
There are 54 granola bars left.
what is 20 squared 2 + 6(9 + 3)
Answer:
\(\sf 872\)
Step-by-step explanation:
Parentheses
\(9 + 3 = 12\)
\(=20^2\cdot \:2+6\cdot \:12\)
Exponents
\(20^2=400\)
\(=400\cdot \:2+6\cdot \:12\)
M/D(Multiply/Div.)
\(6\cdot \:12 = 72\)
\(=800+72\)
A/S(Add/Sub.)
\(800+72=872\)
\(\sf Thus,\\= 872\)
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
it will be choice 3
Step-by-step explanation:
as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side
- left his house and drove to the store. He stopped and went inside. From he drove in the same direction until he got to the bank. He stopped and went the bank. Then he drove home. The graph below shows the number of blocks com home Connor is a minutes after he left his house, until he got back home.Connor left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Connor is a minutes after he left his house, until he got back home.
The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.
What is graph?Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.
It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.
The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.
Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.
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solve the system of equations y = 2x - 5; y = -2x + 3
Answer:
Solving gives us the result, x = 2, y = -1
Step-by-step explanation:
The system of equations is,
y = 2x-5
y=-2x+3
equating the two equations, we get,
(since y = y)
\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)
and then since y = 2x-5
\(y=2(2)-5\\y=-1\)
so, x =2, y = -1
the graph of a line is shown on the grid. the coordinates of both point indicated on the graph of the line are integer
Answer:
-5/6
Step-by-step explanation:
By the application of Analytical geometry the rate of change of y with respect to x is -5/6.
what is Analytical geometry?
Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.
The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.
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8x-2y
10 xy
(if x = 4 and y=-7) what is this evaluation
Answer: 2xy • (4x - 5y)
Step-by-step explanation:
STEP 1:
Equation at the end of step 1
((8 • (x2)) • y) - (2•5xy2)
STEP 2:
Equation at the end of step 2:
(23x2 • y) - (2•5xy2)
STEP 3:
STEP 4:
Pulling out like terms
4.1 Pull out like factors :
8x2y - 10xy2 = 2xy • (4x - 5y)
Final result :
2xy • (4x - 5y)
find the value of 11 (a + b) when a = 7 and b = 3. (a) 110
(b)77
(c) 11,000
(d) 44
Answer:
(a) 110
Step-by-step explanation:
We can plug in 7 for a and 3 for b. Then we can simplify
11(a + b)
11(3 + 7)
11(10)
110
Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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How are triangleABC and triangle ADE related? How do you know pls explain.
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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I’m Confused On The Question
the four vertices of a parallelogram are (3,2) (6,3) (9,6) and (a,B) find a and b
Answer:
(15,8)
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.Select all lengths that are equal to 3 yards 16 inches.
The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).
To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.
1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).
Therefore, 3 yards is equal to 3 * 36 = 108 inches.
Now, we can compare 108 inches to 3 yards 16 inches.
108 inches is equal to 3 yards, so it matches the given length.
To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.
Therefore, 3 yards 16 inches is equivalent to:
3 yards
108 inches
3 yards 0.44 yards (or approximately 3.44 yards)
108 inches 0.44 yards (or approximately 108.44 inches)
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A package contains 20 golf balls. The total
weight of the golf balls is 32 ounces. Use the
model to show the number of ounces per
golf ball and the number of golf balls per
ounce. Write your answers in the blanks.
Answer: 1.6
Step-by-step explanation:
each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces
Answer:
shown below
Step-by-step explanation:
golf balls per ounce = 5/8 or 0.625
ounces per gold ball = 8/5 or 1.6
What is the greatest common factor of 24 and 8
Answer:
8
Step-by-step explanation:
hope i help
Answer:
8 is the gcf
welcome
Which vector below goes from (0,0) to (2,2)?
A. c
B. a
C. b
D. d
Answer:
i say it's A.c
I hope it helped
Andrea has 8 red buttons and 9 blue buttons. How many buttons does Andrea have?
Answer:
17 buttons
Step-by-step explanation:
Answer: 17
Step-by-step explanation:
8 + 9 = 17
Find the inverse of the following function.
f(x) = 2x³
Answer:
Step-by-step explanation:
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Determine whether descriptive or inferential statistics were used in the statement. in 2008, the average credit card debt for college students was $3173. (source: newser)
The collection, description, analysis, and drawing of conclusions from quantitative data are all included in the area of statistics, which is a branch of applied mathematics. Probability theory, linear algebra, and calculus of differential and integrals are some of the core mathematical concepts in statistics.
Descriptive statistics were used in the statement.
Descriptive statistics is a branch of statistics that deals with the collection, presentation, and summary of data. It is used to describe and summarize the main features of a data set, such as measures of central tendency (e.g., mean, median, mode) and measures of dispersion (e.g., range, variance, standard deviation).
In this case, the statement is simply reporting a single value, the average credit card debt for college students in 2008. This is an example of a descriptive statistic because it is a summary measure that describes a characteristic of the population or sample under study.
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Descriptive statistics were used in the statement.
What is descriptive statistics?Descriptive statistics is a branch οf statistics that deals with the analysis, descriptiοn, and summarizatiοn οf data. It invοlves the use οf variοus statistical measures, such as measures οf central tendency (mean, median, and mοde), measures οf dispersiοn (standard deviatiοn, variance, range), and graphical representatiοns (histοgrams, bοx plοts, scatter plοts, etc.) tο describe the features οf a dataset.
Descriptive statistics were used in the statement. The statement is simply describing the average credit card debt fοr cοllege students in 2008. Descriptive statistics are used tο describe οr summarize a dataset οr pοpulatiοn, while inferential statistics are used tο draw cοnclusiοns οr make predictiοns abοut a larger pοpulatiοn based οn a sample οf data. Since the statement οnly prοvides infοrmatiοn abοut a specific grοup οf cοllege students in 2008, it dοes nοt invοlve making any inferences οr predictiοns beyοnd this grοup.
Hence, Descriptive statistics were used in the statement.
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Find the 10th term of the arithmetic sequence 2, 6, 18, 54, ...
Solve for all values of x in simplest form. -4|5x + 1| – 5 = -53
Simplify the equation -4|5x+1|-5=-53.
\(\begin{gathered} -4|5x+1|-5=-53 \\ -4|5x+1|=-48 \\ |5x+1|=\frac{-48}{-4} \\ |5x+1|=12 \end{gathered}\)The equation |5x+1|=12 can be expressed as 5x+1=12 and 5x+1=-12.
Simpify the equation 5x+1=12 to obtain the value of x.
\(\begin{gathered} 5x+1=12 \\ 5x=11 \\ x=\frac{11}{5} \end{gathered}\)Simplify the equation 5x+1=-12 to obtain the value of x.
\(\begin{gathered} 5x+1=-12 \\ 5x=-13 \\ x=\frac{-13}{5} \end{gathered}\)So possible value of x is 11/5 and -13/5.
Determine whether the sample is a simple random sample. In order to test for a gender gap in a way that men and women purchase cars, the Grant Survey Company polls exactly 750 adult men and 750 adult women randomly selected from adults in the United States.
Answer:
imposta
Step-by-step explanation:
You work at a video game store. Today, you are offering coupons for $10.00 off any new video game. A customer comes in with a coupon and purchases one video game for $59.99 and one controller for $39.99. How much should you charger this customer before tax?
Answer:
\(\huge\boxed{\$ 88.98}\)
Step-by-step explanation:
In order to find the total price, we know that the total price will be all the items added up minus the coupon.
You get 10$ off any new video game. This means that when the customer purchases a video game for $59.99, he earns $10 off, so it ends up costing \(59.99-10=\$49.99\).
Now we can add 39.99 to this since we do nothing to it. \(49.99+39.99=88.98\)
Hope this helped!
2.5% of what number is 14?
Answer: 560
Step-by-step explanation: 2.5 percent (calculated percentage %) of what number equals 14? Answer: 560.
The unknown number will be; 560.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent considered thing is of "a" is b%. Then the percent shows per 100 (since cent means 100).
a x b/100 = a x b%
WE need to find the 2.5% of unknown number is 14.
Let the unknown number be x
Then;
2.5% of x = 14.
Simplify;
2.5/100 × x = 14
0.0025 × x = 14
x = 14/0.0025
x = 560
Hence, the unknown number will be; 560.
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Which of the following represents
this number in scientific notation?
60800
A. 6.08 104
C. 6.08 104
B. 6.08 10²
D. 6.08 10-²
An answer option that represents this number in scientific notation include the following: A. 6.08 × 10⁴.
What is a numerical data?In Mathematics and statistics, a numerical data can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.
Generally speaking, any numerical data (number) can be written in scientific notation as follows:
a × b^n
Where
a represents a real number.b represents an integer.Next, we would rewrite the given numerical data (number) in scientific notation by dividing by 10,000 as follows:
Scientific notation = 60,800/10,000
Scientific notation = 6.08 × 10⁴
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A local charity sells a total of 460 tickets to a golf tournament fundraiser. A member ticket costs $50. A non-member ticket costs $65. How many non-member tickets were sold if the total ticket sales are $24,065?
A4
B 65 C 71 D 389
Answer:
C (71)
Step-by-step explanation:
Hi there! I am very happy to answer your question!
\(65x+23000-50x=24065\)
\(15x+23000=24065\)
\(15x=24065-23000\)
\(15x=1065\\\)
\(x=\frac{1065}{15}\)
\(x=71\)
Christina jarred 21 liters of jam after 3 days. How much jam did she jar if she spent 7 days making jam?
Answer:
49 liters
Explanation:
We know that Christina jarred 21 liters of jam in 3 days, so using this ratio, we can calculate the how much jam she jarred after 7 days as follows
\(7\text{ days}\times\frac{21\text{ liters}}{\text{ 3 days}}=49\text{ liters}\)Therefore, the answer is 49 liters.