Answer:
2 2/5
Step-by-step explanation:
3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5
Answer:
3/10 of the pizza is given to each person
Step-by-step explanation:
total number of people= 10
number of pizzas=3
as a fraction, this would be 3/10
you can also use this as 30 out of 100 if that's easier to understand.
Hope this helps ༼ つ ◕_◕ ༽つ
M
Check all that apply.
The angles that we have in the image here are:
supplementary angleright angleWhat is a supplementary angle?When two angles are measured, they sum up to 180. They are said to be supplementary angles.
On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.
What is a right angle
This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.
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Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?
Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
How to determine which day of the week was their exam scheduledTo determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.
If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.
Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.
However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.
Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
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What is the value of this expression when d = 4 7/8 and f = 3 1/2
6 (d - f) + f
7+(10−4)2:4⋅231=7+62:4⋅81=7+36:4⋅81=7+9⋅81=7+89=7+181=881
To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
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Write an inequality for the statement: the product of six and a number is at most thirty
Calling x to the unknown number, the product of six and a number is 6x
At most 30 means less than or equal to 30.
Then, the inequality is:
6x ≤ 30
Use your calculator to fill in the table below based on f(x)=x^5+3Is f(x) even ,odd,or neither ?explain
Given the function f(x):
\(f(x)=x^5+3\)We will find the value of f(x) when x = {-2, -1, 0, 1, 2}
so,
\(\begin{gathered} x=-2\rightarrow y=(-2)^5+3=-29 \\ x=-1\rightarrow y=(-1)^5+3=2 \\ x=0\rightarrow y=(0)^5+3=3 \\ x=1\rightarrow y=(1)^5+3=4 \\ x=2\rightarrow y=(2)^5+3=35 \end{gathered}\)From the results, we can conclude the following:
\(\begin{gathered} f(-x)\ne f(x) \\ \text{and} \\ f(-x)\ne-f(x) \end{gathered}\)So, the function is neither even nor odd
Camille is comparing different apartment complexes. Here is the data she collected. Complex name Bedrooms Bathrooms Rent Rent includes heat Amenities Grand Vistas 2 br 2 bath $990 no fitness center, pool ; Maple Ridge 2br 1.5 bath , $685 yes fitness center, pool; Old Mill 2 1.5, 790 no pool; Willow Brook 2br 2bath $885 no jacuzzi. The individuals in this data set are:
The individuals in this data set are the different apartment complexes: Grand Vistas, Maple Ridge, Old Mill, and Willow Brook.
The individuals in this data set are the different apartment complexes that Camille is comparing. The data provides information on the complex name, number of bedrooms and bathrooms, rent amount, whether rent includes heat, and the amenities offered.
Grand Vistas:
Bedrooms: 2
Bathrooms: 2
Rent: $990
Rent includes heat: No
Amenities: Fitness center, pool
Maple Ridge:
Bedrooms: 2
Bathrooms: 1.5
Rent: $685
Rent includes heat: Yes
Amenities: Fitness center, pool
Old Mill:
Bedrooms: 2
Bathrooms: 1.5
Rent: $790
Rent includes heat: No
Amenities: Pool
Willow Brook:
Bedrooms: 2
Bathrooms: 2
Rent: $885
Rent includes heat: No
Amenities: Jacuzzi
Each apartment complex is represented as an individual in the data set. Camille has collected specific details for each complex, including the number of bedrooms and bathrooms, the rent amount, whether heat is included in the rent, and the amenities provided.
This data set allows Camille to compare different apartment complexes based on these attributes. She can evaluate factors such as rent prices, included amenities, and the presence of heat in the rent. This information will assist Camille in making an informed decision about which apartment complex may be the most suitable for her needs and preferences.
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need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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Mrs. Perkinsa writer for First Colonial High School's newspaper, contacted 100 of the approximately 1100 students at the school to gather information about student opinions reg food at the school's cafeteria Identify the population and the sample
STATS.
Answer:
Step-by-step explanation:
y=2 x − 12 has how many real roots?
Answer: One root
Reason:
The term "root" refers to the x intercept.
We plug in y = 0 and solve for x to get the x intercept
y = 2x-12
0 = 2x-12
2x = 12
x = 12/2
x = 6
The root is 6.
The single x intercept is located at (6,0).
Find the perimeter of the figure. If you need to use in your computation, approximate its value as 3.14.
Rectangle topped by a semicircle
10 m
a. 35.57 m
b.
65.40 m
C.
59.70 m.
d. 49.70 m
The total perimeter of the given composite figure is; 74.55 meters
How to find the perimeter of a composite figure?The perimeter of the given figure can be calculated by dividing the figure into two parts : One is semi-circle and second is rectangle.
To find Perimeter of rectangle :
Length of the rectangle = 18 m
Width of the rectangle = 15 m
Perimeter = (2 × Length) + Width
Perimeter = (2 × 18) + 15
Perimeter = 36 + 15
Perimeter = 51 meters
To find perimeter of semi-circle :
Radius of semi-circle = 15/2 = 7.5 m
Perimeter of semi-circle = π × radius
Perimeter = 3.14 × 7.5
Perimeter = 23.55 meter
So, Total Perimeter of the figure = 51 + 23.55
= 74.55 meter
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Provide an expansion of π to 5 decimal places. Confirm your understanding that π can be computed to an indefinite precision and that an expansion to 5 decimal places is only an approximation for the real value of π.
Answer:
π = 3.14286 to 5dpStep-by-step explanation:
π as a value is \(\frac{22}{7}\). Expresssing \(\frac{22}{7}\) as decimal will give;
π = \(\frac{22}{7}\) = 3.142857 142857 142857 1...
It can be seen that the values after the decimal point goes indefinitely by continually imputing the value 142857 based on the segregation. Therefore an expansion to 5dp is the only approximate value for π since the remaining values are mere repetition.
Converting to 5 decimal places means having just 5 values after the decimal point as shown;
\(\pi = \frac{22}{7} = 3.14286\)
The last value is rounded up to 6 because the succeeding value is 7(which is more than 5). In this case 1 will be added to the fifth place value in the figure rounding it up to 6.
Identify the zeros given the quadratic equation y= -16(x+7)(x-5)
Answer:
wouldn't it be -7 and 5? I'm pretty sure that you switch the signs around.
Step-by-step explanation:
set y=0 and solve. -7 + 7 = 0 and 5 - 5 = 0. my teacher told me to switch the signs for each factored term. hope this helps.
Answer:
x = -7
x = 5
Step-by-step explanation:
Hello!
We can use the Zero Product Property to solve for the Zeroes.
Zero product PropertyThe zero product property stars by factoring a quadratic. You then set each of the factors to zero, and solve for the variable in the factor.
Factored form: y = a(x - h)(x - k)
0 = a(x - h)(x - k)0 = (x - h)(x - k) Divide by aNow, let's call each factor, A and B. To get to 0, either A, B, or both have to be 0. We prefer to solve for both.
Solvey = -16(x + 7)(x - 5)0 = -16(x + 7)(x - 5)0 = (x + 7)(x - 5) Divide by -16x + 7 = 0, x = -7x - 5 = 0, x = 5The zeroes of the Quadratic is -7 and 5.
Why do we replace it with 0?
Zeroes means the x-intercepts, or the roots of a quadratic. An x-intercet is when y is equal to 0. So we replace y with 0, and solve for x.
which is the right one. i need help!!!!
Answer: 23
step by step:
The angle is 90 degrees
(2x+14) + (x+7) = 90
(2x+ x) + (14+7) = 90
3x+21 = 90 (subtract 21 from both sides)
3x+ 21 - 21 = 90 - 21
3x = 69 ( divide each side by 3)
x = 23
how many time can 7 go into 65
Answer:
9
Step-by-step explanation:
The answer you divide 65 by 7 which would get you 9.2857142857143. The remainder is 2.
MATHEMATICALLY WE WRITE THE PROBLEM AS
\( = \frac{65}{7} \\ \)
SOLVING FURTHER
\(65 \div 7 \\ = 9.285714286\)
BUT 7 GOES 9 TIMES IN 65 NOT CONSIDERING THE REMINDER.
HOPE THIS HELPS
(-2/3)+3/4 Please help
Answer:
-17\12
Step-by-step explanation:
PLEASE HELP ME QUICK!!!
Answer:
Option D. \(g(x)=5(0.8)^{x}+2\)
Step-by-step explanation:
Main concepts
Concept 1: identifying horizontal asymptote
Concept 2: assuring decreasing exponential function
Concept 1. identifying horizontal asymptote
Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis. A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number. Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units. Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.
Concept 2. assuring decreasing exponential function
Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".
If "b" is between 0 and 1 (a "small" number), the function will decrease.If "b" is larger than 1 (a "big" number), the function will increase.Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.
To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.
Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.
Identify the numerical coefficient of the term -13x^2y
The numerical coefficient of the term given as -13x^2y is -13
How to determine the numerical coefficient?From the question, the term of the expression is given as
-13x^2y
To solve this question, we use the following illustration:
ax^ny^m
Where the variables a, m and n are a real numbers and x and y are the variables
The above means that the coefficient of the expression illustrated as ax^ny^m is a
Using the above as a guide, we have:
The term -13x^2y is -13 has a numerical coefficient of -13
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Describe the domain and range of the function.
domain: ______≤ x ≤ _______
range:_______≤ y ≤ ______
The domain is_________
Answer:
Domain 0≤x≤6
Range 0≤y≤6
The domain is all real numbers
Step-by-step explanation:
The domain is the x values and the range is the y values. I am not sure what your choices are for the pull down menu but I am guess that the answer is all real numbers.
Lisa paid $43.95 for 16.1 gallons of gasoline. What was the cost per gallon rounded to the nearest hundredth?
Answer$ 2.73 per gallon
Step-by-step explanation:
A paper bag has five colored marbles. The marbles are red, green, blue, yellow, and orange. List the sample space when choosing one marble.
S = {1, 2, 3, 4, 5}
S = {red, blue, green, yellow}
S = {g, r, b, y, o}
S = {green, blue, yellow, orange}
The required sample space when choosing one marble is S = {g, r, b, y, o}. Option C is correct.
What is sample space?The sample space of a sample statistic is the collection of all conceivable results. A random experiment's associated event is a subset of the sample space.
here,
A paper bag contains five different colored marbles. The marbles are in the colors red, green, blue, yellow, and orange.
Sample space is given as,
S = {green, red, blue, yellow, orange}
or
Using abbreviations,
S = {g, r, b, y, o}
Thus, the sample space is S = {g, r, b, y, o}.
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What is the degree of the equation?
What is the Leading Coefficient of the equation ?
Solve using the Quadratic Equation.
5X^2 – 3X – 8=0
Answer:
1 (give brainliest plss)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 5 • -8 = -40
Step-2 : Find two factors of -40 whose sum equals the coefficient of the middle term, which is -3 .
-40 + 1 = -39
-20 + 2 = -18
-10 + 4 = -6
-8 + 5 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 5
5x2 - 8x + 5x - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (5x-8)
Add up the last 2 terms, pulling out common factors :
1 • (5x-8)
Step-5 : Add up the four terms of step 4 :
(x+1) • (5x-8)
Which is the desired factorization
\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the concept of Quadratic Equations.
Degree of a equation represents the highest power of the varible in the equation, For quadratic equation the degree is 2.
Leading Coefficient are the constant numbers that are significantly multiplied with the variables in the equation.
==> 5x^2 - 3x - 8 = 0
==> 5x^2 -8x +5x -8=0
==> x(5x-8) +1(5x-8)=0
==> (5x-8)(x+1) = 0
The Wills Tower (formerly known as the Sears Tower) in Chicago is about 454 feet tall A model of it has a scale of 2 in 45 feet. How tall is the model?
The model is 64.62 inches tall. The solution has been obtained by using the arithmetic operations.
What are arithmetic operations?
Any real number may be explained using the four basic operations, also referred to as "arithmetic operations." In mathematics, operations like division, multiplication, addition, and subtraction come first, followed by operations like quotient, product, sum, and difference.
We are given that height of tower is 1454 feet and the scale is given as follows:
2 inches = 45 feet
Now, using the division operation, we get
⇒ Height of the model = 1,454 ÷ 45
⇒ Height of the model = 32.31
Now, using the multiplication operation, we get
⇒ Height of the model = 32.31 * 2
⇒ Height of the model = 64.62 inches
Hence, the model is 64.62 inches tall.
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The correct question has been attached below.
help meeeeeeeeee pleaseee !!!!!
The value of the composite function is: (f o g)(2) = 33.
How to Find the Value of a Composite Function?To evaluate a composite function, take the following steps:
Step 1: Find the value of the inner function by substituting the value of x into the equation of the functionStep 2: Use the value of the output of the inner function as the input for the outer function and simplify to get the value of the composite function.Given the following:
f(x) = x² - 3x + 5
g(x) = -2x
Therefore,
(f o g)(2) = f(g(2))
Find the value of the inner function g(2):
g(2) = -2(2)
g(2) = -4
Find f(g(2)) by substituting x = -4 into the function f(x) = x² - 3x + 5:
(f o g)(2) = f(g(2)) = (-4)² - 3(-4) + 5
= 16 + 12 + 5
(f o g)(2) = 33
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BRAINLIEST FOR RIGHT ANSWER!!! The graph shows two lines, A and B. (IMAGE BELOW) How many solutions are there for the pair of equations for lines A and B? Explain your answer.
Answer:
1 solution; (1,4)
Step-by-step explanation:
Whenever two lines intersect, their solution is the point that the two share in common. Here, it's (1,4), so that is the answer.
Michael used a ruler to measure the length of a rope and he found that it was 7 ½ feet long. What is the length of that rope in yards?
Answer:
hi mai Ankit Kumar and smart ways of learning and smart ways of learning and smart and the other day
The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set.
With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.
What is the Venn diagram?A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.
Circles that overlap share certain characteristics, whereas circles that do not overlap do not.
Venn diagrams are useful for showing how two concepts are related and different visually.
When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.
Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.
So, we need to find:
A ∪ B
Now, calculate as follows:
The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:
8 + 7 + 14 + 6 + 1 + 8 = 44
n(A∪B) = 44
Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.
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The sum of a number qnd seven is ten. What is the number?
Answer:
3
Step-by-step explanation:
Let's write the statement as an equation and solve for that number.
x+7=10
x=3
Step-by-step explanation:
\(\bold{x + 7 = 10}\)
\( \longmapsto \: x = 10 - 7\)
\( \longmapsto \: 10 - 7 = 3\)
\(\bold{x = 3}\)\(\bold{Hope}\)\(\bold{It}\) \(\bold{Helps!}\)
\(\bold{Study}\)\(\bold{Well}\)~
find the volume of the solid generated by revolving the region bounded by the parabola y=-(x^2)/9 and the lines y=-1 about the following lines a. the line y=-1 b. the line y=-2 c. the line y=1
The volume of the solid generated by revolving about the line y=-1 is 324π cubic units and the volume of the solid generated by revolving about the line y=-2 is 216π cubic units.
To find the volume of the solid generated by revolving the region bounded by the parabola y=-(x^2)/9 and the lines y=-1 about a line, we can use the method of cylindrical shells.
a) The line y=-1 is the axis of revolution, so the volume of the solid generated by revolving the region about this line is:
V = ∫[(-1-(x^2)/9)^2 - (-1)^2] * 2πx dx
where the integral is taken over the interval for which the parabola y=-(x^2)/9 is above the line y=-1. So the limits of the integral are from -3 to 3, the volume is:
V = ∫[(-1-(x^2)/9)^2 - (-1)^2] * 2πx dx from -3 to 3 = 324*π cubic units
b) The line y=-2 is the axis of revolution, so the volume of the solid generated by revolving the region about this line is:
V = ∫[(-2-(x^2)/9)^2 - (-2)^2] * 2πx dx
where the integral is taken over the interval for which the parabola y=-(x^2)/9 is above the line y=-2. So the limits of the integral are from -3 to -sqrt(92) = -3 to -3sqrt(2) and 3*sqrt(2) to 3 , the volume is:
V = ∫[(-2-(x^2)/9)^2 - (-2)^2] * 2πx dx from -3 to -3sqrt(2) + ∫[(-2-(x^2)/9)^2 - (-2)^2] * 2πx dx from 3sqrt(2) to 3 = 216*π cubic units
c) The line y=1 is not on the same side of the parabola y=-(x^2)/9 as the region bounded by the parabola and the lines y=-1 so there is no solid generated by revolving about this line.
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Solve the following system of inequalities
graphically on the set of axes below. State the
coordinates of a point in the solution set.
y > -x + 2
y< 1/2x-4
Plotting the inequalities using geogebra online tool, the solution is the dark region.
InequalityAn inequality is an expression used to show the non equal comparison between two or more numbers and variables.
Given the system of inequalities:
y > -x + 2
y < (1/2)x - 4
Plotting the inequalities using geogebra online tool, the solution is the dark region.
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