Sienna is saving for an MP3 player that costs $200. She has $50 already saved in the bank and is going to save $25 each month.
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Answer:
what's the question
Step-by-step explanation:
Related Questions
A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. the path of the projectile is modeled using the equation h(t) = –16t2 48t 190. approximately when will the projectile hit the ground?
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The projectile hit the ground approximately at t = 5.3 seconds.
It is given that projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall.
It is required to find when will the projectile hit the ground if the projectile equation is \(\rm h(t)= -16t^2+48t+190\)
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have the projectile equation:
\(\rm h(t)= -16t^2+48t+190\) .....(1)
When it hit the ground the value of h(t) = 0, equate the equation(1) with 0
We get:
\(\rm 0= -16t^2+48t+190\)
or
\(\rm 16t^2-48t-190= 0\)
It is a quadratic equation,
Compare with the equation \(ax^2+bx+c=0\)
a = 16, b = -48, and c = -190
By using the formula:
\(\rm x= \frac{-b\pm\sqrt{b^2-4ac} }{2a}\)
\(\rm t= \frac{-(-48)\pm\sqrt{(-48)^2-4(16)(-190)} }{2(16)}\\\\\rm t= \frac{48\pm{(120.266)} }{32}\\\)
t = -2.25 or t = 5.25
Time can not be a negative quantity, so leave the negative value of 't'.
So, t = 5.25 ≈ 5.3 seconds
Thus, the projectile hit the ground at t = 5.3 seconds.
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In a translation, the y-coordinates of the pre-image increase by 8. What was the translation?
8 units up
8 units right
8 units left
8 units down
Answers
Answer:
8 up
Step-by-step explanation:
Consider the following. x = et, y = e−4t (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.
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The curve starts at (1,1) and goes to the right, approaching the x-axis but never touching it. It also approaches the y-axis but never touches it. The curve is traced in the direction from (1,1) towards the positive x-axis as the parameter t increases.
To eliminate the parameter, we can solve for t in terms of x and substitute into the equation for y:
x = et --> t = ln(x)
y = e⁽⁻⁴ᵗ⁾ = e⁽⁻⁴⁾ln(x)) = x⁽⁻⁴⁾
So the Cartesian equation of the curve is y = x⁽⁻⁴⁾.
To sketch the curve, we can notice that as x increases, y decreases rapidly (since it is raised to the negative fourth power). The curve approaches the y-axis but never touches it. It also approaches the x-axis but is never quite horizontal. To indicate the direction in which the curve is traced as the parameter increases, we can use an arrow pointing to the right (since t = ln(x) increases as x increases).
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Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3.
Question 7 options:
A)
(4, 1)
B)
(4, 5)
C)
(2, 2)
D)
(–6, 6)
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Answer:
B ......................
What are the values of m and in the diagram below?
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Show that Φ(u,v)=(7u+4,u−v,13u+v) parametrizes the plane 2x−y−z=8. Then: (a) Calculate Tu , Tv, and n(u,v). (b) Find the area of S=Φ(D), where D=(u,v):0≤u≤5,0≤v≤6. (c) Express f(x,y,z)=yz in terms of u and v and evaluate ∬sf(x,y,z)ds(a) Tu= , Tv= , n(u,v)=_______________(b) Area(S)=_______(c) ∬sf(x,y,z)ds=___________
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Answer:
Step-by-step explanation:
1.Φ(u,v) gives the parametrization with its x, y, and z components. So, x=7u+4, y=u-v, and z=13u+v. We can use this to get the tangent vectors by taking the respective partial derivatives. Tu=<7, 1, 13> by taking the u derivatives of the components and Tv=<0, -1, 1> by taking the v derivatives of the components.
2. Taking the cross product of Tu and Tv will give the normal vector n(u,v), which is <14, -7, -7>
3. To find Area(S), you have to multiply the area of D by the magnitude of the normal vector from the previous step. D is the region defined by 0<=u<=5 and 0<=v<=6, so the area of D is 5*6=30. Multiply this by the magnitude of the normal vector to find that Area(S)=30sqrt(294)
4. To integrate, we first must put the initial function in terms of the parameters we found in the first step. Replace y with u-v and z with 13u+v. Next, multiply this integrand by the magnitude of the normal vector (sqrt294) and apply the given bounds for u (0<=u<=5) and v (0<=v<=6). From here the problem can be integrated like any other double integral, the final answer being 190sqrt(294)
7x - 4 + x = -1 + 13x + 7
Show work
Answers
Answer:
7x-4+x=-1+13x+7
8x-4=13x+6
add 4 to both sides
8x-4+4=13x+6+4
8x=13x+10
subtract 13x from both sides
8x-13x=13x+10-13x
-5x=10
divide both sides by -5
-5x÷-5=10÷-5
x=-2
I hope this is good enough:
Aaron puts $1,000 in an account that pays 10% interest compounded quarterly. He leaves it in the account for six months. Estimate how much interest he earns.
Answers
Answer: $50.63 --- Interest
Step-by-step explanation:
Step 1
Using the formulae
A = P(1 + r/n)^nt
Where
A = principal + interest Amount
P = Principal Amount = $1000
t = Time in years= 6months = 0.5 years
n = number of compounding periods= quarterly =4
Step 2
6 months = 6/12 = 0.5 years
Rate = 10 % = 0.1
A = P(1 + r/n)^nt
= 1000 ( 1 + 0.1/4)^(4 x 0.5)
=1000(1 +0.025)^2
= 1000(1.025)^2
= 1000 x 1.050625
A= $1,050.625
but A = principal + interest Amount
Interest = A- Principal=$1,050.625-$1,000
=$50.625
4. *QRST-WXYZ. The area of QRST is given. Find the area of WXYZ.
A=144
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Answer:iiii
Step-by-step explanation:
PLEASE HELP!!!!!!! Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B?
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Answer:
1:4
Step-by-step explanation:
Find the ratio of corresponding sides
\(\frac{10}{40}=\frac{1}{4}\\\\\\\frac{11}{44}=\frac{1}{4}\\\\\\\frac{18}{72}=\frac{1}{4}\\\\\\)
Scale factor:
1:4
Answer:
4
To find the scale factor, we need to know what number we multiply each side length in Figure AAA by to get the corresponding side length in Figure BBB.
Let's see how the corresponding sides relate:
10×4
11×4
18×4
=40
=44
=72
Load up the present day data with the following command. Solve it using R. use coding and show steps please. source("http://www.openintro.org/stat/data/present.R")
The data are stored in a data frame called present.
1). What years are included in this data set? What are the dimensions of the data frame and what are the variable or column names?
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The present data set includes data from the years 2010-2012. The dimensions of the data frame are 624 rows and 8 columns. The variable or column names are "year", "month", "day", "date", "dow", "time", "size", and "price".
To find the years included in the data set, we can use the unique() function on the "year" column:
```R
unique(present$year)
```
This will return the unique values in the "year" column, which are 2010, 2011, and 2012.
To find the dimensions of the data frame, we can use the dim() function:
```R
dim(present)
```
This will return the number of rows and columns in the data frame, which are 624 and 8, respectively.
To find the variable or column names, we can use the names() function:
```R
names(present)
```
This will return the names of the columns in the data frame, which are "year", "month", "day", "date", "dow", "time", "size", and "price".
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Identify the factors of the function
y = 3x2 - 7x – 10
Answers
Answer:
(x + 1)(3x - 10)
Step-by-step explanation:
Given
3x² - 7x - 10
Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = - 7
The factors are + 3 and - 10
Use these factors to split the x- term
3x² + 3x - 10x - 10 ( factor the first/second and third/fourth terms )
3x(x + 1) - 10(x + 1) ← factor out (x + 1) from each term
(x + 1)(3x - 10), thus
y = (x + 1)(3x - 10) ← in factored form
Malikah saves all of his pennies and nickels. After a year he has a total of 520 coins After counted the coins he had a total of $14.72 How many nickels does he hove?
Answers
Answer:
238 nickels
282 pennies
Step-by-step explanation:
N =Nickels
P= Pennies
20 nickels = 1 dollar
100 pennies = 1 dollar
N+P = 520
P=( 520-N)
0.05(N) +0.01(520-N) = $14.72
Multiply by 100 to avoid decimals:
5 N +1(520-N) = 1,472
5N +520 -N = 1,472
4N = 952
N = 238 (238/20 = 11.9) $11.9
520-238 = 282 pennies (=$ 2.82)
238 + 282 = 520
$11.9 + $2.82 = $ 14.72
Dale made $273 dollars for 13 hours of work. At the same rate how much would he make for 8 hours of work.
Answers
Answer:
$168
Step-by-step explanation:
273 dollars for 13 hours of work is a unit rate of 273/13=21 dollars per hour. Multiplying this by 8 hours of work, you get 168 dollars. Hope this helps!
if the multiplier is 6, then the mpc is group of answer choices A. 0.16.
B. 0.83
C. 0.71.
D 0.86.
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The correct answer choice for the MPC (marginal propensity to consume) when the multiplier is 6 is not provided among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.
The MPC is calculated as the ratio of the change in consumption to the change in income. When the multiplier is given, we can derive the MPC using the formula MPC = 1 / (1 + MPC). In this case, the multiplier is stated to be 6.
To find the corresponding MPC, we can solve the equation 1 / (1 + MPC) = 6 for MPC.
Rearranging the equation, we have 1 + MPC = 1 / 6. Subtracting 1 from both sides, we get MPC = 1 / 6 - 1 = -5 / 6.
The result MPC = -5 / 6 implies a negative MPC, which does not align with any of the given answer choices.
Additionally, all the answer choices provided (0.16, 0.83, 0.71, and 0.86) are positive values, further confirming that none of them represents the correct MPC when the multiplier is 6.
Therefore, the correct answer choice for the MPC when the multiplier is 6 is not listed among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.
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Water has a freezing point of 32 mercury has a freezing point that is 70 lower heat is the freezing point of mercury
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Mercury is used to measure high temperatures and alcohol has a lower freezing point that mercury.
The freezing point of any substance, describe the transition of liquid into solid.
The freezing point of water is \(0\) °C or \(32\) °F.
At zero-degree water molecules are moving very slowly, and formation of solid begins i.e. Ice.
When salt or sugar is combined that is mixed with water or ice and it is evenly distributed, the freezing point is lowered.
Lowering of freezing point allows the street ice to melt at lower temperatures, it prevent the accumulation of dangerous, slippery ice.
Alcohol is used to measure the lower temperatures.
Mercury boils at \(357\) degree Celsius where as alcohol boils at \(78\) degree Celsius.
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I NEED HELP ON THIS ASAP!!
Answers
The values of n are the empty or null set or n = {∅}.
What is a number line?
A number line is a representation of a graduated straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
Here, we
First, let's call the number we are looking for n
Then, If a number is "less than 24" we can write this as:
n < 24
Also, if this number, n, is "greater than 35" we can write:
n > 35
We can flip this inequality around to get:
35 < n < 24
However, because 30 is not less than 24 the values of n are the empty or null set or n = {∅}.
Hence, the values of n are the empty or null set or n = {∅}.
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The cost of a mirror is directly proportional to the square of its width. A mirror of width 40 cm costs $24. Find the cost of the mirror if the width is doubled
please answer fast
Answers
Answer:
Step-by-step explanation:
Your answer
Proportion????
So, cost = width
If width is 80 then cost will be 48
I dont know if this right.
Answer accurancy 80%
Mark it as Brainlist answer. Follow me.
5.
6.
7.
6.
7.
8.
Name the vertex of the angles.
Name a point in the interior of ZLMO.
Name the sides of 21.
ZABC is a right angle. Find the value of 'x'.
What type of angle pair are 23 and 24?
Find the m/1.
(4x+4) 2
Use for questions
5-7.
(2x+20)
(8x-8)
Answers
1) The vertice of all the angles is given as Point M.
2) A point in the interior of ∠LMO is point P.
3) The sides of ∠1 are: MO and MN.
4) The value of x in Right ∠ABC is 35°
2x + 20 = 90
2x = 70
x = 35°
5) Note that ∠3 and ∠4 are angle pairs called Adjacent lines. In this case, both angles sum up to 180°
6) m∠1 is 16°
How was m∠1 derived?To deriver m∠1 both angles must be equated to one another based on the theorem of the congruency of Adjacent Angles.
Thus,
4x + 4 = 8x -8 (Collect like terms over the equals sign)
4+8 = 8x -4x
12 = 4x (divide both sides by 4 to get x)
x = 12/4
x = 3
thus m ∠1 =
⇒ 4 (3) + 4
⇒ 12 + 4
= 16°
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Help I need this now
Answers
Answer:
22m
Step-by-step explanation:
60 POINTS!!!!! i need help please!!!!!!!!!!
Answers
Answer:
D(3, 3)
The slope of line AB is -2.
The slope of line CD is 1/2.
Step-by-step explanation:
I chose point D (shown in the figure below) since it lies on the intersection of grid lines and is easy to read. The coordinates of point D are (3, 3).
Point A(-3, 3); point B(-1, -1)
slope of line AB:
\( m = \dfrac{y_2 - y_1}{x_2 - x_1} \)
\( m = \dfrac{-1 - 3}{-1 - (-3)} \)
\( m = \dfrac{-4}{-1 + 3} \)
\( m = \dfrac{-4}{2} \)
\( m = -2 \)
The slope of line AB is -2.
Point C(1, 2); point D(3, 3)
slope of line CD:
\( m = \dfrac{3 - 2}{3 - 1} \)
\( m = \dfrac{1}{2} \)
The slope of line CD is 1/2.
write a function rule to define the sequence : 2, -3, -8, -13
Please help me ASAP!
Answers
Answer: F(x)= x-5
Step-by-step explanation:
John jogs 30miles every week .there are 52 weeks in a year. How many miles does john jog in a year?
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Answer:
John would be running 1560 miles in a year
Due today Help ASAP thanks if you help
Answers
The area of the circle is 30.2 square feet. Then the correct option is B.
Given that:
Diameter, d = 6.2 feet
Let r be the radius of the circle. Then the area of the circle will be given as,
A = πr² square units
The radius of the circle is given as,
r = d / 2
r = 6.2 / 2
r = 3.1 feet
The area of the circle is calculated as,
A = 3.14 x (3.1)²
A = 3.14 x 9.61
A = 30.1754
A ≈ 30.2 square feet
Thus, the correct option is B.
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Elijah says that 6.11212312... is a rational number. Deena disagrees and says the number isirrational Decide who is correct and what might likely cause one of them to make the error.Who is correct? What might likely cause one of them to make the error?a) Elijah is correct. Deena might think it is not showing a patternb) Deena is correct. Elijah might think it is showing a pattern.c) Both are correct. NUmbers like this are both rational and irrational.d) Nether is correct. The number cannot be rational or irrational.
Answers
for this problem we need to rememberwhat is the definition of a RATIONAL number defined as a number that canbe obtained from two integers
If we analyze the number given we can see that 6.11212312.... represent an Irrational number since this number cannot be obtained from the division of two integers
So then the best solution for this case would be:
b) Deena is correct. Elijah might think it is showing a pattern.
Can anyone help me with this one Question on volume The diameter of a cylinder is 1 yd. The height is 12 yd. Find the volume of the cylinder.
Answers
Answer:
9.42 cube.yd
Step-by-step explanation:
Volume of cylinder= πr^2h
3.14 × 0.5 × 0.5 × 129.42 cube.yd3 An art class is making mosaics with glass squares. Each of the 121 students will get the same number of glass squares to use. The total number of glass squares for the students to use is shown. How many glass squares will each student get? A. Write an expression that can be used to find the number of glass squares each student will receive. B. Complete the given division problem to find the number of squares each student will receive. C. How many whole glass squares will each student receive? 1,240 glass squares D. A remainder is the amount left over when an amount cannot be divided equally. What does the remainder mean in this context? 121)1240 30 R
Answers
Answer: A. To find the number of glass squares each student will receive, we need to divide the total number of squares by the number of students.
We can write this as:
x = number of glass squares per student
x = 1240 / 121
B. To find the number of squares each student will receive, we need to solve for x by dividing 1240 by 121.
1240 ÷ 121 = 10.246753246753247
C. Each student will get 10 whole glass squares.
D. The remainder in this context is the number of glass squares that cannot be distributed evenly among the students. In this case, the remainder is 30. It means that there will be 30 glass squares left over after each student has received 10 squares. It's like remainder in division where after dividing 1240 by 121 the quotient is 10 and the remainder is 30.
Step-by-step explanation:
Find the value of f(x) = -3x^3 + 2x^2 for f(-1)
Answers
Answer:
Step-by-step explanation:
f(-1) means that wherever you see an x on the right hand side, you give it a value of -1
f(-1) = 3(-1)^3 + 2(-1)^2
f(-1) = - 3+ 2
f(-1) = - 1
1. Which is NOT a function?
y=x²-3
x+y=3²
y=x+3²
x+3=y²
Answers
Hope this is correct
Given f(x) = 4x - 7, and g (x) = x^2+ 5, find g(x) - f (x)
Answers
Step-by-step explanation:
when applying a mathematical basic operation, we do this to the expressions of each function.
g(x) - f(x) = (x² + 5) - (4x - 7) = x² - 4x + 12