Answer:
Just about 50%, depending on if the data set is a odd or even number
Step-by-step explanation:
At 45, is the median value. The median of a box plot is not necessarily 50% of the data. The median is the middle value in a dataset, or the value that divides the data into two equal halves. If the dataset has an odd number of values, the median will be one of the values in the dataset. If the dataset has an even number of values, the median will be the average of the two middle values.
The sum of 8 and t
help anyone??
Answer:
8 + tStep-by-step explanation:
The sum of 8 and t ⇒ 8 + t
You acquire a $15,000 unsubsidized loan at 6.8% interest. You will graduate 4 years later.
a) How much simple interest accumulated while you are still in school for an unsubsidized loan?
b) If you capitalized the loan, what will be the balance when you graduate?
c) After you graduate, you will begin making payments on your loan at 6.8% compounded monthly for 10 years. What is the monthly payment for this loan?
d) How much interest will be paid for this loan?
e) Explain what it means of the loan is not capitalized.
f. Now suppose you acquire the same loan of $15,000 at 6.8% compounded monthly for 10 years but it is subsidized. What is the monthly payment for this loan?
g) How much interest will you pay for the subsidized loan?
h) What is the difference in savings for the subsidized loan?
Answer:
a) For an unsubsidized loan of $15,000 at 6.8% interest for 4 years, the simple interest accumulated while you are still in school is **$4,080**.
b) If you capitalized the loan, the balance when you graduate would be **$20,322.68**.
c) After you graduate, you will begin making payments on your loan at 6.8% compounded monthly for 10 years. The monthly payment for this loan is **$174.30**.
d) The total amount of interest paid for this loan is **$10,118.00**.
e) If the loan is not capitalized, it means that the interest accrued during the in-school period is not added to the principal balance of the loan. Instead, it is paid off separately after graduation.
f) For a subsidized loan of $15,000 at 6.8% compounded monthly for 10 years, the monthly payment for this loan is **$163.19**.
g) The total amount of interest paid for this subsidized loan is **$9,782.80**.
h) The difference in savings for the subsidized loan is **$335.20**.
David found a vintage watch his father lost 38 years ago. The watch’s date showed that it had worked for over two years after his father lost it. When David found the watch, it was 3 times as old as when his father lost it. How old was the watch when David’s father lost it?
Answer:
the watch was 1 year old when David's father lost it.
Step-by-step explanation:
Let's break down the information given:David found the vintage watch 38 years after his father lost it.The watch's date showed that it had worked for over two years after his father lost it.When David found the watch, it was 3 times as old as when his father lost it.
Let's assume the age of the watch when David's father lost it as X years.According to the information, the watch worked for over two years after his father lost it. Therefore, we can represent the age of the watch when David found it as (X + 2) years.We are also given that when David found the watch, it was 3 times as old as when his father lost it. So we can write the equation:(X + 2) = 3XSimplifying the equation:
2 = 3X - X
2 = 2X
X = 1
Write an explicit formula for a(n), the n^th term of the sequence 8, 48, 288,...
Answer:
a(n) = 8 x 6^(n-1)
Explanation:
The sequence 8, 48, 288, ... is geometric because each term is the term before multiply by a common ratio, so:
8
8 x 6 = 48
48 x 6 = 288
Therefore, the equation of a geometric sequence is:
\(a_n=a_1r^{n-1}\)Where a1 is the first term of the sequence and r is the common ratio. So, replacing a1 by 8 and r by 6, we get that the equation fo the n^th term of the sequence is:
\(a_n=8\cdot6^{n-1}\)So, the answer is:
a(n) = 8 x 6^(n-1)
A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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HELP PLEASEEEEEEEEEEE
Answer:
I not see the number 2
I think that is number 2
Answer:
first and last one should be the answer (not sure about the first, cant see it too good)
If the following data were transformed and points with the coordinates
(x, log(y)) were plotted, what points would be plotted? Round log(y) to three
decimal places.
X
1
2
3
y
12
83
580
If the data were transformed and points with the coordinates
(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.
To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.
Let's calculate the logarithms for the given data:
x y log(y)
1 12 log(12) = 1.079
2 83 log(83) = 1.919
3 580 log(580) = 2.763
Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)
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10. A flagpole is supported by two identical wires. What is the distance (X) between the two wires?
Using the Pythagoras theorem, we can find the value of x to be = 10ft.
Option B is correct.
Define Pythagoras theorem?The right-angled triangle's three sides are related in line with the Pythagoras theorem, also referred to as the Pythagorean theorem. The hypotenuse of a triangle's other two sides add up to a square, according to the Pythagorean theorem, which states that.
Here in the question,
We have 2 right-angled triangles.
So, base of the large triangle, x
= √ (13² - 12²) + √ (13² - 12²)
= √ 5² + √ 5²
= 5 + 5
= 10ft.
Therefore, the length of the side, x = 10ft.
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solve the following differential equation by variation of parameters. fully evaluate all integrals. find the most general solution to the associated homogeneous differential equation. use and in your answer to denote arbitrary constants, and enter them as c1 and c2. c1cos(4x) c2sin(4x) 1/16ln(cos(4x))cos(4x) 1/4xsin(4x) help (formulas) find a particular solution to the nonhomogeneous differential equation . help (formulas) find the most general solution to the original nonhomogeneous differential equation. use and in your answer to denote arbitrary constants. help (formulas)
The most general solution to the associated homogeneous differential equation is y=x/2-1/4
How will you solve this equation?C=0
dy/dx+2y=x
Use the formula:
\(\int\ \,xe^(2x)dx=e^(2x)\)((x/2−1/4).
We know that a linear differential equation is written in the standard form:
y' + a(x)y = f(x)
we get that: a(x)=2 and f(x)=x.
We know that the integrating factor is defined by the formula:
u(x)=\(e^{\int\ \, a(x) dx}\)
⇒ u(x)=\(e^{∫ 2 dx}\)= \(e^{2x}\)
The general solution of the differential equation is in the form:
y=\frac{ ∫ u(x) f(x) dx +C}{u(x)}
⇒ y=\frac{\(e^{2x}\)· x dx + 0}\({e^{2x}}\)
y=\frac{\(e^{2x}\) (x/2-1/4)\(}{e^{2x}\)
y=x/2-1/4
Hence, the most general solution to the associated homogeneous differential equation is y=x/2-1/4.
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\( \frac{1}{2 \sqrt{x} } \geqslant \frac{1}{16} \)
Answer:
\(0\le x\le 64\)
Step-by-step explanation:
\(\dfrac{1}{2\sqrt{x} } \geq \dfrac{1}{16}\)
Using substitution
\(\sqrt{x} = t\)
\(\dfrac{1}{2t} \geq \dfrac{1}{16}\)
Multiply both sides by 2
\(\dfrac{1}{t} \geq \dfrac{1}{8}\)
Multiply both sides by \(t\). We can do it because \(t > 0\)
\(1 \geq \dfrac{t}{8}\)
Multiply both sides by 8
\(8 \geq t\)
As \(t=\sqrt{x}\)
\(8 \geq \sqrt{x}\)
So
\(x\le 64\cap x\ge 0\)
\(0\le x\le 64\)
how many ways can 9 different books be arranged on a shelf
Answer:
There are 362880 ways to arrange 9 books on a bookshelf
Step-by-step explanation:
Whenever you need to solve for how many different combinations are there you can just take the number of variables and type in 9! you're calculator, which means: 1x2x3x4x5x6x7x8x9.
(12 ÷ 3) 2nd power − (18 ÷ 3 to the 2nd power )) × (4 ÷ 2)
Answer:
-272
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
(12 ÷ 3) 2nd power − (18 ÷ 3 to the 2nd power )) × (4 ÷ 2) →
(12/3)² – (18/3²) × 8 →
16 – 2 × 8 →
16 – 16 →
0
(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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can someone help me with this its a project for school and I'm not the best at this I need to show my work and find which one I can afford apparently and I was wondering if you could help me with the two I didn't fill out and show your workI need this done ASAP plz help
Answer:
you can only afford basic as both other options are over $100
Step-by-step explanation:
standard = 964 - 50 = 914 left
914/8 = 114.25 per month
formula: 8m + 50 = 964
deluxe = 1940-50 = 1890 left
1890/18 = 105 per month
formula: 18m + 50 = 1940
Write a two-step equation with a solution of 6. Write the equation using both words and symbols.
Answer:
x+6=y
Step-by-step explanation:
5/8 in simplest form.
Answer:
5/8 in simplest form is 5/8
Step-by-step explanation:
Answer:
5/8 is in the simplest form already.
Step-by-step explanation:
It cant be lowered anymore, due to 5 not being divisible by 4, 2, or 8, which is what 8 is divisible by.
Identify which line from the graph the following right triangles could lie on
Answer:
There is no graph.
which of the following best describes the bases of a cylinder? A. Congruent B. Polygons C. Parallel D. Discs (Check All That Apply)
Answer:
A. Congruent and D. Discs
Step-by-step explanation:
You won't see a cylinder that doesn't have congruent bases
Look at the shape of the bases and look at a disc compare their shape
We can describe the bases of a cylinder as congruent.
What is the volume of cylinder?The volume of cylinder is given by -
V = πR²h
Given is to describe the bases of a cylinder.
The cylinders are uniform in cross - section. Therefore, the bases of the cylinder will have the same area. So, we can conclude that the given bases are congruent.
Therefore, we can describe the bases of a cylinder as congruent.
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The width of a rectangle is the length minus 3 units. The area of the rectangle is 28 square units. What is the length, in units, of the rectangle?
The length of a rectangle cannot be negative, hence the length of the rectangle is 7 units.
Finding area and perimeter of triangleBased on the question given, the width (W) is the length (L) minus 3 units, which can be expressed as:
W = L - 3
The formula for the area (A) of a rectangle is:
A = Length × Width
We are given that the area is 28 square units, so:
A = 28
Now, we can substitute the expressions for width (W) and area (A) into the area formula:
28 = L × (L - 3)
Now, we need to solve this quadratic equation for L. First, expand the equation:
28 = L^2 - 3L
Now, rearrange the equation in standard quadratic form
L^2 - 3L - 28 = 0
To solve this quadratic equation, you can factor it:
(L - 7)(L + 4) = 0
Now, set each factor equal to zero and solve for L:
L - 7 = 0
L = 7
L + 4 = 0
L = -4
Since the length of a rectangle cannot be negative, hence the length of the rectangle is 7 units.
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Inequality question PLEASE HELP
Answer:
40x4x<60
x<5
Step-by-step explanation:
40x4x<60
4x<60-40
4x<20
x<20÷4
x<5
A store only sells 20-pound bags of ice. Over the weekend, the store sells 800 bags of ice, making $3,400. On Monday, the store sells 80 bags of ice. How much money does the store make selling ice on Monday?
The amount of money the store makes selling ice by the same ratio will be $340.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
The store sells 800 bags of ice, making $3,400.
Ratio = 3400/800
With the same ratio,
The store sells x amount of bags of ice,
x/80 = 3400/800
x = $340
Hence "The store will make $340 from selling ice using the same ratio".
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HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
D. x+10
Step-by-step explanation:
-2x² - 16x +40 = -2(x²+8x -20) = -2(x+10)(x-2)
9325 cm is equal to how many meters?
Answer:
93.25
Step-by-step explanation:
One meter = 100 cm
9300 divided by 100 = 93 + 0.25 = 93.25
The conversion of the given measurement of 9325 cm to meters is gotten as; 93.25 meters
How to convert Centimeter to meter?There are different units in mathematics to convert. However, in this case, we want to convert centimeters to meters.
Now, the conversion rate here is;
100cm = 1m
Thus, to convert 9325 cm to meters we will just divide it by 100.
Thus;
9325 cm = 9325/100 = 93.25 meters
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A pyramid and a cone are both 10 centimeters tall and have the same
volume. What statement must be true about the two solids?
A. The vertical cross-sections of the pyramid and cone at the same
width must have the same area.
B. The cross-sections of the pyramid and cone are the same shape.
C. The area of the cross-sections of the pyramid and cone are
multiples of each other.
D. The horizontal cross-sections of the pyramid and cone at the
same height must have the same area.
Answer:
D the horizontal cross-section of the pyramid and cone at the same height must have the same area
Chlorpheniramine 100 ml
Lidocaine 2 oz
Banana flavoring ½ tsp
Take 10 ml BID
How many days will this solution last?
The number of days that this solution will probably last would be = 8 days.
How to calculate the total number of days the solution will last?To calculate the number of days the solution will last the following is taken into consideration.
The parameters given which are not in ml should be converted to ml as follows;
2 Oz of Lidocaine to ml = 2×29.6=59.2ml
½tsp of banana flavouring;
= 1/2×4.92
= 2.5ml
Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml
But 2×10 = 1 day
20ml = 1 day
161.7ml = X
Make X the subject of formula;
X = 161.7/20
= 8.1
= 8 days.
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each graph with the correct cosine function based on its period.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (1.5, 0), (3, minus 1), (5, 0), (6.5, 1), (7.5, 0), It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (3, 0), (6, minus 1), (9.5, 0). It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (0.5, 0), (1, minus 1), (1.5, 1), (2, 0), (2.5, minus 1), (3, 0). It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 at (minus 1, 0) and goes through (0, 1), (1, 0), (3, 1), (4, 0), and (4.5, minus 1) and curve follows the same pattern on X-axis.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (6, 0), and (12, minus 1). It follows the same pattern.
y=cos x/2 arrowRight
y=cos x arrowRight
y=cos x/4 arrowRight
y=cos x/4arrowRight
The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)
Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:
Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.
Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.
Graph 4: (Not used)
Graph 5: (Not used)
Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.
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Kurt's truck uses 10 gallons of gas to travel 140miles. He has 5 gallons in the tank. How much more gas will he need to drive 322 miles
Answer:
18 gallons
Step-by-step explanation:
Step 1:
140 : 10 = x : 5 Equation / Ratio
Step 2:
10x = 700 Multiply
Step 3:
x = 70 Divide
Step 4:
322 miles - 70 miles To find how many miles are needed to get to 322
Step 5:
252 miles ÷ 14 To find the amount of gas / Divide
Answer:
18 gallons more
Hope This Helps :)
5/6 having denominator 35
Answer:( 175/6)
Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35
Find x value
\( {x}^{3} + {x}^{2} + 8x + 12 = 0\)
??
Changes made to your input should not affect the solution:
Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).
x3+x2-8x-12 is not a perfect cube
Factoring: x3+x2-8x-12
Thoughtfully split the expression at hand into groups, each group having two terms :
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)Group 2: (2x+3) • (-4)
NO LINKS!! Please help me with this problem
#GH
\(\\ \rm\Rrightarrow \dfrac{GH}{FG}=\dfrac{TS}{TU}\)
\(\\ \rm\Rrightarrow \dfrac{GH}{36}=\dfrac{42}{28}=\dfrac{3}{2}\)
\(\\ \rm\Rrightarrow GH=108/2=54\)
#UV
\(\\ \rm\Rrightarrow \dfrac{UV}{TU}=\dfrac{JF}{FG}\)
\(\\ \rm\Rrightarrow\dfrac{ UV}{28}=\dfrac{63}{36}=\dfrac{21}{12}=\dfrac{7}{4}\)
\(\\ \rm\Rrightarrow UV=7(28)/4=7(7)=49\)
#VW
\(\\ \rm\Rrightarrow \dfrac{VW}{SW}=\dfrac{IJ}{IH}\)
\(\\ \rm\Rrightarrow \dfrac{VW}{35}=\dfrac{27}{45}=\dfrac{3}{5}\)
\(\\ \rm\Rrightarrow VW=3(35)/5=3(7)=21\)
FGHIJ ≅ UTSWV
making proportional equations
GH/FG = TS/UTGH/36 = 42/28GH = 54FJ/FG = UV/UT63/36 = UV/28UV = 49IJ/FG = VW/UT27/36 = VW/28VW = 21