Answer:
Increasing at a very fast rate.
Answer:
Option D is correct
Mark me brainlist
Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.
The total interest she paid on the loan was $170.
How much money did Lisa borrow?
Do not round any intermediate computations. If necessary, refer to the list of financial formulas.
Answer:
Lisa borrowed $8,500
Step-by-step explanation:
Simple Interest
Occurs when the interest is calculated on the original principal of a loan only.
Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=Prt
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.
We need to convert the time to years (there are 12 months per year):
t = 5 /12 years.
The formula must be solved for P:
\(\displaystyle P=\frac{I}{rt}\)
Substituting:
\(\displaystyle P=\frac{170}{0.048*5/12}\)
\(\displaystyle P=\frac{170}{0.02}=8,500\)
Lisa borrowed $8,500
Answer:
Step-by-step explanation:
Matrices consist of columns and rows.
True
O False
Answer:
True
Step-by-step explanation:
I remembered learning this definition for a matrix:
A Matrix is an arrangement of numbers into rows and columns
so yes matrices consist of rows and columns
the daily low temperatures last week were -5,-4,-7,-2,2,5, and 3 what was the average low temperature for the week?
Answer:
-1.143
Step-by-step explanation:
Add them all up and divide by 7
Which ordered pair maximizes the objective function p=3x+8y
(0,0)
(2,7)
(5,6)
(8,1)
Answer:
P(5,6) = 63
Step-by-step explanation:
Test each point to see which ordered pair maximizes the objective function:
(0,0): p = 3(0) + 8(0) = 0
(2,7): p = 3(2) + 8(7) = 6 + 56 = 62
(5,6): p = 3(5) + 8(6) = 15 + 48 = 63
(8,1): p = 3(8) + 8(1) = 24 + 8 = 32
Hence, (5,6) is the ordered pair that maximizes the objective function.
List any five rational number between -5/6 and 5/6
The five rational number between -5/6 and 5/6 are \(\frac{-4}{6} ,\ \frac{-3}{6} ,\ \frac{-2}{6} , \ \frac{-1}{6} ,\ \frac{1}{6}\)
A rational number, in arithmetic, a number that can be expressed as the quotient p/q of two integers such that q ≠ 0. In addition to all fractions, the set of rational numbers includes all integers, each with an integer as the numerator and 1 as the denominator.When dividing a rational number (that is, a fraction), the result is in decimal form, with either trailing decimals or repeating decimals.We have given two rational numbers \(\frac{-5}{6}\) and \(\frac{5}{6}\) .
For finding rational number make the denominator of given numbers same.
As the denominator of given numbers is already same so , we don't need to multiply .
Thus , five rational numbers are
\(\frac{-4}{6} ,\ \frac{-3}{6} ,\ \frac{-2}{6} , \ \frac{-1}{6} ,\ \frac{1}{6}\)
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Select the correct answer.
What is this expression in simplest form?
1/2x^2-4x - 2/x
A. 4x-7/2x(x-2)
B. -4x+9/2x(x-2)
C. -1/2x(x-2)
D. -3x-8/2x(x-2)
Answer:a A. 4x-7/2x(x-2)
got it right on the test
Step-by-step explanation:
Please help me with this question
Answer: 135
Step-by-step explanation:
remember PEMDAS
3^3=27
(27*10)/2=270/2=135
Given
f
(
x
)
=
x
−
5
f(x)=x−5 , create a function
g
(
x
)
g(x) that is steeper and shifts down 4 units on the y-axis.
4. Saul wants to cash a check for $715 at his bank. He has
$436 in his bank account. How much more money will
he need in his bank account to cash the check?
Answer:
he needs $279
Step-by-step explanation:
715-436= 279
Find the 11th term of the geometric sequence 1,4,16
The 11th term of the geometric sequence 1, 4, 16,... is 4¹⁰.
A sequence is a grouping of objects in a particular order that permits repetitions. It has members, just like a set does. The length of the sequence is determined by the number of items.
Consider the geometric sequences 1, 4, 16......
For a geometric sequence a, ar, ar²,.....
Where a is the first term, and r is the common ratio of the sequence.
Then for the sequence 1, 4, 16,...
a = 1 and r = 4
The nth term of a geometric sequence is given as:
aₙ = ar⁽ ⁿ ⁻ ¹⁾
Therefore, the 11th term of the sequence will be:
a₁₁ = 1 × r¹¹ ⁻ ¹
a₁₁ = (4)¹⁰
a₁₁ = 4¹⁰
Hence, the 11th term of the sequence is 4¹⁰.
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19. In a random sample of 250 students, we found that 75 work out 4 or more times a week. Find the 95% confidence interval for the proportion of students who work out 4 or more times a week.
Answer:
The 95% confidence interval for the proportion of students who work out 4 or more times a week is (0.2432, 0.3568).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
In a random sample of 250 students, we found that 75 work out 4 or more times a week.
This means that \(n = 250, \pi = \frac{75}{250} = 0.3\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 - 1.96\sqrt{\frac{0.3*0.7}{250}} = 0.2432\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 + 1.96\sqrt{\frac{0.3*0.7}{250}} = 0.3568\)
The 95% confidence interval for the proportion of students who work out 4 or more times a week is (0.2432, 0.3568).
Linda is paid the same amount for each hour of work. In 6 hours, she earns $195. Write an equation that describes the dollars y she earns if she works x hours
Answer:
32.5x
Step-by-step explanation:
She earns 32.5 dollars every hour, so if she worked 14 hours she would earn 455 dollars.
Answer:
32.5x
Step-by-step explanation:
She earns 32.5 dollars every hour, so if she worked 14 hours she would earn 455 dollars.
If X = 6 units, Y = 4 units, and Z = 13 units, then what is the volume of the triangular pyramid shown above?
A.
44 cubic units
B.
39 cubic units
C.
104 cubic units
D.
52 cubic units
Answer:
D. 52 cubic units
Step-by-step explanation:
The table describes the quadratic function h(x).
x h(x)
−3 −2
−2 −3
−1 −2
0 1
1 6
2 13
3 22
What is the equation of h(x) in vertex form?
h(x) = (x + 2)2 − 3
h(x) = (x + 1)2 − 2
h(x) = (x − 1)2 + 2
h(x) = (x − 2)2 + 3
The quadratic equation that describes the function is
f(x) = x² + 4x + 1
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is the table that describes the quadratic function h(x) as follows -
{x} h{x}
−3 −2
−2 −3
−1 −2
0 1
1 6
2 13
3 22
The quadratic equation is of the form given -
y = ax² + bx + c
For the point (0, 1), we can write -
1 = c ..... Eq{1}
For the point (1, 6), we can write -
6 = a + b + 1
a + b = 5 ...... Eq{2}
For the point (2, 13), we can write -
13 = 4a + 2b + 1
4a + 2b = 12 ...... Eq{3}
From Eq{2}, we can write -
a = 5 - b
So, the equation 3 can be written as -
4(5 - b) + 2b = 12
20 - 4b + 2b = 12
20 - 2b = 12
2b = 8
b = 4 ...... Eq{4}
then
a = 1 ...... Eq{5}
So, we can write the quadratic equation as -
f(x) = x² + 4x + 1
Therefore, the quadratic equation that describes the function is
f(x) = x² + 4x + 1
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Use the hundredth grids to answer the question.
Which equation is shown by the model?
See picture below
Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).
How to identify the correct equation?To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.
In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.
On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:
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Three vertices of parallelogram DEFG are D(-2, – 4),F(0,7), and G(1,0). Find the coordinates of E.
Answer:
(-3,3)
Step-by-step explanation:
I just put the points on a graph, and counted how far away from each other they were, and found the last Point.
I hope this helps!
The coordinates of vertex E of parallelogram DEFG is: (-3, 3).
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
Diagonals of a parallelogram bisects each other, meaning they divide each other into equal parts.
The given vertices of parallelogram DEFG are:
D(-2, – 4),F(0,7), and G(1,0)
Let (x, y) = coordinates of vertex E.
Find the coordinates of E
Find midpoint of D(-4, - 2) and F(3, 3) using :
\((\dfrac{-2+0}{2}, \dfrac{-4 + 7}{2}) = ( \dfrac{x + 1}{2}, \dfrac{y + 0}{2})\)
\((-2, 3) = (x + 1, y)\)
By comparison So, we have:
-2 = x + 1
x = -3
and
y = 3
Therefore, the coordinates of vertex E is: (-3, 3).
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Mr. Hooper has a tree in his front yard that grows every year. If the tree was 3 feet tall when he planted it 6 years ago , what is the current height of the tree in terms of f?
A. 3f + 6 feet
B. 6f + 3 feet
C. 3f + 18 feet
D. 6f + 18 feet
The height of the tree after 6 years can be expressed as "3 feet + 6f feet."
The correct answer is A. 3f + 6 feet.
To determine the current height of the tree in terms of "f,"
let's analyze the given information.
We know that the tree was initially 3 feet tall when it was planted 6 years ago.
Since the tree grows every year, we can assume that its growth rate is consistent.
Let's denote the current height of the tree as "h" (in feet).
After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").
Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."
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y"+y'-6y = 12e^3t+12e^-2t
Answer
yc(T)=y"+y'-6y=0
Step-by-step explanation:
Find the solution for a 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
Answer:
Step-by-step explanation:
Answer:
A^n = [4^n 4^n
0 1]
Step-by-step explanation:
To find the solution for the 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:
A^1 = [4 4
0 1]
Now, let's solve for A^2 by multiplying A^1 by A:
A^2 = A x A^1
= [4 4 [4 4
0 1] 0 1]
= [16 16
0 1]
Next, let's solve for A^3:
A^3 = A x A^2
= [4 4 [16 16
0 1] 0 1]
= [64 64
0 1]
We can see a pattern emerging:
A^1 = [4 4
0 1]
A^2 = [16 16
0 1]
A^3 = [64 64
0 1]
We can generalize this pattern as follows:
A^n = [4^n 4^n
0 1]
Therefore, the solution for the 2x2 matrix A raised to the nth power is:
A^n = [4^n 4^n
0 1]
what is .0291573 rounded 3 decimal places
{x|x + 1 ≥ 3 and x − 6 ≤ −1}
Write the solution using interval notation
Suppose you are a ladybug on the “outer” surface of the Klein bottle. Describe a path on the surface of the bottle that you can travel that would get you to the “inside” where a special gentleman bug is waiting.
As a ladybug on the outer surface of the Klein bottle, there is no direct path to the inside. However, you can travel along a specific type of curve called a "cross-cap curve" to reach the inside. and using topology.
To do this, start by moving along the outer surface of the Klein bottle until you reach the point directly opposite to your starting position. Then, imagine folding the surface of the bottle in half along a line that runs through this point.
This folding will create a new surface that intersects with the original surface of the bottle along a cross-cap curve. Follow this curve until you reach the inside of the Klein bottle, where the special gentleman bug is waiting for you.
It's important to note that the Klein bottle is a non-orientable surface, which means that there is no "inside" or "outside" in the traditional sense. However, the concept of inside and outside can still be useful for navigation purposes.
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The length of a rectangular box is 2 inches shorter than 3 times the width (x).The height is 4 inches.Which is the volume (y) function?
The volume function is:
V= Length x Width x Height
We seek how to express each measure as a function of X4
\(\begin{gathered} \text{width = X} \\ \text{Length = 3X-2} \\ \text{Height = }4 \end{gathered}\)with clear measurments we can replace
\(V=(3x-2)\times(x)\times(4)\)we can reduce the expression to have a more similar to the options
\(V=(4x)\times(3x-2)\)I used V for Volume but in the options is Y however it is not a problem
\(Y=4x(3x-2)\)Select the statement that describes this expression: 8 + one half x (6 – 2) – 1.
Answer:
B).
Step-by-step explanation:
Add 8 to half the difference of 6 and 2 then subtract 1.
Answer:
I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.
Can someone help me?
Answer:
7. D) 61in
8. A) 57in
9. A) 47in
Step-by-step explanation:
The perimeter is the distance around the area of a 2-dimensional figure. it can be found by adding up all of the sides of the figure. One can use this to solve for the value of the parameter (x). Then substitute the value back in to find the value of the side.
7.
AB + BC + AC = 145
Substitute,
2x + 2x + 5 + x = 145
Simplify,
5x + 5 = 145
Inverse operations,
5x + 5 = 145
-5
5x = 140
/5
x = 28
Substitute,
AC = 2x + 5= 2(28) + 5 = 61
8.
AB + BC + AC = 135
Substitute,
2x + 2x + 5 + x = 135
Simplify,
5x + 5 = 135
Inverse operations,
5x + 5 = 135
-5
5x = 130
/5
x = 26
Substitute,
AC = 2x + 5 = 2(26) + 5 = 57
9.
AB + BC + AC = 122
Substitute,
x + 22 + 2x + x = 122
Simplify,
4x + 22 = 122
Inverse operations,
4x + 22 = 122
-22
4x = 100
/4
x = 25
Substitute,
AB = x + 22 = 25 + 22 = 47
Determine the intercepts of the line.
Do not round your answers.
y=-2x - 21
x-intercept:
y-intercept:
The x intercept of y = -2x - 21 is \(\frac{-21}{2}\)
The y intercept of y = -2x - 21 is -21
What is x - intercept and y - intercept of a line?
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
The given equation of line is
y = -2x - 21
For x intercept, we have to put y = 0
\(-2x - 21 = 0\\2x = -21\\x = \frac{-21}{2}\)
So the x intercept is \(\frac{-21}{2}\)
For y intercept, we put x = 0
\(y = -2\times 0 -21\\y = -21\)
The y intercept is -21
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helo please show work
Answer:
Step-by-step explanation:
Solution:
We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).
The GCF of 305 and 60 is 5.
Divide both terms by 5.
305 ÷ 5 = 61
60 ÷ 5 = 12
Therefore:
305 : 60 = 61 : 12
An automobile company is running a new television commercial in five cities with approximately the same population. The following table shows the number of times the commercial is run on TV in each city and the number of car sales (in hundreds). Find the Pearson correlation coefficient r for the data given in the table. Round any intermediate calculations to no less than six decimal places, and round your final answer to three decimal places.
Therefore , the solution of the given problem of data plot comes out to be value (r) is roughly 0.975.
Data plot: What is it?The most typical way to display data in a graph is to demonstrate how two additional factors relate to one another. Digital and hand-drawn sketches are both acceptable. From the beginning position, move two or more pieces to the correct and three pieces up. The reference system must display the numerals for positions 2, 3, and 4. In your points, be very clear. The pinkish haze with the letter P stands in for the number 2.3.
Here,
We must compute several numbers in order to determine the Pearson correlation coefficient r for the information provided in the table.
Before anything else, we figure out the average and standard deviation of the amount of TV airings (x) and car sales (y):
mean(x) = (40 + 30 + 20 + 50 + 10) / 5 = 30
mean(y) = (30 + 20 + 10 + 40 + 20) / 5 = 24
These mean numbers allow us to determine the standard deviation:
=> SX = √ (( (40-30)² + (30-30)² + (20-30)² + (50-30)² + (10-30)²) / 4)
≈> 15.81
=> SY = √(( (30-24)²+ (20-24)² + (10-24)² + (40-24)² + (20-24)²) / 4)
≈> 8.16
Next, we determine x and y's covariance:
=> cov(x,y) =
=> [(40-30)(30-24) + (30-30)(20-24) + (20-30)(10-24) + (50-30)(40-24) + (10-30)(20-24)] / 4
≈> 125
Last but not least, we can figure out the Pearson association coefficient:
0.975 r = cov(x,y) / (s x * s y)
As a result, the table's data's Pearson correlation value (r) is roughly 0.975. This shows a significant positive correlation between the volume of car purchases and the frequency of the TV ad.
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Graph the image of the figure after a dilation with a scale factor of 1/3 centered at the point (0, 2) . Use the Polygon tool to graph the dilated figure.
The three vertices will give us the dilated figure.
How to Graph the image of the figure after a dilation?First we find the slope of the line that would pass through the point of dilation, (-3, 0), and each vertex.
From (-3, 0) to (5, 4), the slope would be
m = (4-0)/(5--3) = 4/8
Since the scale factor is 1/2, this means each part of the slope would be multiplied by this scale factor:
(4(1/2))/(8(1/2)) = 2/4
This means from our point of dilation we count up 2 and over 4; this puts the new point at (-3+4, 0+2) = (1, 2).
From (-3, 0) to (3, 8) the slope is
m = (8-0)/(3--3) = 8/6
Multiplying the rise and run by 1/2, we have
(8(1/2))/(6(1/2)) = 4/3
This means the dilated point would be up 4 and over 3 from (-3, 0), putting it at (-3+3, 0+4) = (0, 4).
From (-3, 0) to (-5, 4), the slope is
m = (4-0)/(-5--3) = 4/-2.
Multiplying the rise and run by 1/2, we have
(4(1/2))/(-2(1/2)) = 2/-1
This means the dilated point would be up 2 and over -1 from (-3, 0), putting it at (-3+-1, 0+2) = (-4, 2).
These three vertices give us the dilated figure.
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5/6÷1/2
Please explain your answer
5/6÷1/2
When we divide fractions, we reciprocate (interchange) the positions of numerator and denominator in the second fraction, and replace the ÷ sign with × .
So=>
5/6 × 2/1 =
5/3
Hope it helps ^^