Answer:
-116.96256
Step-by-step explanation:
(-9.088) x (12.87)
(use the rules for multiplication)
-(9.088 x 12.87)
(multiply)
-116.96256
(your answer)
Suppose that you decide to buy a car for $27,635, including taxes and license fees. you saved $5000 for a down payment and can get a three-year car loan at 6.36%. Find the monthly payment and the total interest for the loan
the monthly payment of $ 668.75 will be paid for the loan for the car.
Total payment for the car = $ 27,635
Money for down payment = $ 5000
Interest for 3 year loan = 6.36 %
Amount on which this interest will be applied = $ 27,635 - $ 5000
Amount = $ 22,635
Interest = 6.36 % of $ 22,635
Interest = 6.36 / 100 × $ 22,635
Interest = 1440 (approx.)
Total amount of loan = $ 22,635 + $ 1440
= $ 24075
Number of months = 3 × 12 = 36 months
So, monthly payment = $ 24075 / 36
= $ 668.75
Therefore, we get that, the monthly payment of $ 668.75 will be paid for the loan for the car.
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for the trapezoid below,solve for x. X= blank
Answer:
180-125 = x
x= 55 ( allied angle)
Sketch and solve the following triangles.
1. The legs of a right triangle measure 5cm and 12cm. What is the measure of its hypotenuse?
2. In ∆ABC and C is a right angle, if c = 12 and b = 10, find cos A.
3. In ∆ABC and C is a right angle, the opposite of ∠A = 12. if the hypotenuse = 13, find tan θ.
4. If sin A = \( \frac{15}{17} \) What is tan A?
5. If cot θ = \( \frac{7}{24} \) What is sec θ?
\(\large\tt{(Nonsense \: will \: be)} \\ \large \tt{( \: reported!)} \)
Answer:
#1
Use Pythagorean:
c² = a² + b²Apply to given and find c:
c² = 5² + 12²c² = 169c = √169c = 13 cm#2
cos = adjacent / hypotenusecos A = b/ccos A = 10/12 = 5/6#3
Assumed θ is ∠A, this is not too clearWe have:
a = 12c = 13We know that:
tan A = a/bFind b:
b = √c² - a² = √13²-12² = √25 = 5So
tan A = 12/5#4
Given
sin A = 15/17We know that:
sin A = a/c, so a = 15 and c = 17tan A = a/bFind b:
b = √c² - a²= √17²-15²= √64 = 8So
tan A = a/b = 15/8#5
Given
cot θ = 7/24We know:
cot = adjacent / oppositesec = 1/cos = hypotenuse / adjacentFrom the cot we have:
adjacent = 7, opposite = 24Hypotenuse is:
√24² + 7² = √625 = 25So,
sec θ = 25/7Any answers? My last question. ;-;
In circle S with m RST = 42 and
RS = 3 units, find the length of arc RT.
Round to the nearest hundredth.
Answer:
2.20
Step-by-step explanation:
First, change 42° to radian
42/180 * π = 0.733 rad
The length of the arc = 3 * 0.733 = 2.20
The required measure of the arc RT is given as 2.512 units.
Given that,
In circle S with m RST = 42 and
RS = 3 units,
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
Where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Here,
Arc = radius × angle
Arc = 3 × 42 × π/180
The length of the arc = 2.512
Thus, the required measure of the arc ET is given as 2.512 units.
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Zach bought his parents anniversary gifts. His dad's present cost $25. He bought his mom 3 presents (p) that all cost the same amount. If he paid a total of $40, how much did each of his mom's gifts cost?
What is the value of p in the equation?
25 + 3p = 40
Answer:
5
Step-by-step explanation:
Craig estimates his driving score to be 8.5. His actual score from the judges is 7.75 what is the percent error. Round the percent to the nearest tenth if necessary
Answer:
9.7%
Step-by-step explanation:
Given:
Observed score value = 8.5
Actual score value = 7.75
Required:
Percent error to the nearest tenth
SOLUTION:
Percent error = \frac{Value_{observed} - Value_{actual}}{Value_{actual} * 100 \)
Percent error = \frac{8.5 - 7.75}{7.75} * 100 \)
Percent error = \frac{0.75}{7.75} * 100 \)
Percent error = \frac{75}{7.75} \)
Percent error = 9.7 \) (nearest tenth)
mmon Core Algebra I - MA3109 B-IC
Activity
Vertical Stretches and Shrinks of Exponential Functions
Assignment Active
Identifying a Function
Which is a stretch of an exponential decay function?
◎m=²[
Of(x) = -(5)
Of(x) = 5(²)
O fix) = 5(5)*
The stretch of an exponential decay function is y = 2(1/5)ˣ
Which is a stretch of an exponential decay function?From the question, we have the following parameters that can be used in our computation:
The list of exponential functions
An exponential function is represented as
y = abˣ
Where
a = initial valueb = growth/decay factorIn this case, the exponential function is a decay function
This means that
The value of b is less than 1
An example of this is, from the list of option is
y = 2(1/5)ˣ
Hence, the exponential decay function is y = 2(1/5)ˣ
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Complete question
Which is a stretch of an exponential decay function?
Of(x) = -(5)ˣ
Of(x) = 5(2)ˣ
O fix) = 2(1/5)ˣ
In a pack of Skittles, 20% are red. If 13 are red, how many skittles were in the entire bag?
Answer: 65
Step-by-step explanation:
First we need to know what the 13 is 20% of. 13 is 20% of 65.
To make sure we are correct we must take 20% of the 65 which gives us 13 showing that 20% of the 65 skittles (13) are red.
Hope that helped :)
Find the missing length. = √ [?] 9 C C= 10 Pythagorean Theorem: a2 + b² = c²
The value of the missing length is c = √181
How to determine the missing length?From the question, we have the following parameters that can be used in our computation:
Legs = 9 and 10
Hypotenuse = c
The missing length of the triangle can be calculated using the Pythagorean Theorem represented as a² + b² = c²
So, we have the following equation
c² = 9² + 10²
Evaluate the sum of squares
c² = 181
Take the square root of both sides
c = √181
Hence, the missing length is c = √181
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if i got a 48 and a 49 on my math quiz which are worth 90% of my grade and I get a 100 on my hw which is 10% of my grade. I have two more quizzes left. What are the lowest grades to get on both of my quizzes in order to get a 70% average?
Answer:
80
Step-by-step explanation:
80%
You want to buy roses for your mother. Roses cost $2 per rose and a $10 fee for delivery. Write the equation to model this situation.
Answer:
10+2x
Step-by-step explanation:
The number of roses is the dependent variable but the fee is the constant.
Mike buys 3 pounds of chips from the store.
Which of the following could be Mike’s purchase? pick 2 answers
Ⓐ 3 large bags Ⓑ 2 boxes of chips Ⓒ 1 large bag and 1 family size bag Ⓓ 2 small bags and 2 medium bags Ⓔ 1 large bag and 1 box of chips Ⓕ 2 medium bags and 1 box of chips
Answer:
b
Step-by-step explanation:
boxes tend to be heavier
Mariam is selling cakes at a summer fete.
She spends a total of £36 on ingredients.
She makes a total of 60 cupcakes to sell at £1.50 each.
She sells all of the cupcakes.
Calculate her percentage profit.
find the volume of the solid generated by revolving calculator
Assuming a basic rectangular calculator, we can consider rotating it around different axes, such as the x-axis or the y-axis. The resulting solid may be a cylinder, a solid with a hole, or a more complex shape.
To find the volume of the solid generated by revolving a calculator, we first need to determine the shape formed when the calculator is rotated around a given axis. Let's consider two scenarios:
Rotation around the x-axis:
If the calculator is rotated around the x-axis, the resulting solid will be a solid with a hole. The outer shape is a cylinder, and the hole in the center represents the volume of the calculator. To calculate the volume, we can use the formula for the volume of a cylinder, subtracting the volume of the hole. If the radius of the calculator is given as r and the height as h, the volume can be calculated as V = πr^2h - πr^2h', where h' is the thickness of the calculator.
Rotation around the y-axis:
If the calculator is rotated around the y-axis, the resulting solid will be a cylinder without a hole. The radius of the cylinder will be the width of the calculator, and the height will be the thickness. In this case, the volume can be calculated directly using the formula for the volume of a cylinder, V = πr^2h, where r is the width and h is the thickness of the calculator.
By determining the shape formed by the rotation and applying the appropriate volume formula, we can calculate the volume of the solid generated by revolving the calculator.
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You have 3 number
1, 9, and a missing number
The mean of the numbers is 4
work out the missing number
Answer:
2
Step-by-step explanation:
The last number is 2
You calculate this by the only way the mean can be 4 is if the 3 numbers= up to 12. so 9 + 1=10 and if were looking for 12 we need 2 more so 2.
10 + 2=12
When dealing with mean you calculate the sum of all the number(check) then divided by the total of numbers so 3
12 divided by 3=4 and 4= your mean
Hope it helps have a great day:)
Solve for v. (4v+9)/2 −(5v−3)/8=9 Simplify your answer as much as possible.
The solution for v by substitution is: v = 5/4.
To solve the equation, we'll simplify the expressions and find a common denominator for the fractions.
Given equation: (4v + 9)/2 - (5v - 3)/8 = 9
To find a common denominator, we need to find the least common multiple (LCM) of 2 and 8, which is 8.
Now, let's rewrite the equation with the common denominator of 8:
[(4v + 9) * 4 - (5v - 3) * 1]/8 = 9
Simplifying the numerators:
(16v + 36 - 5v + 3)/8 = 9
Combining like terms:
(16v - 5v + 36 + 3)/8 = 9
(11v + 39)/8 = 9
To isolate v, we'll multiply both sides of the equation by 8:
11v + 39 = 72
Subtracting 39 from both sides:
11v = 72 - 39
11v = 33
Dividing both sides by 11:
v = 33/11
Simplifying the fraction:
v = 3
Therefore, the solution for v is v = 5/4.
The solution for the given equation (4v + 9)/2 - (5v - 3)/8 = 9 is v = 5/4.
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The table shows three unique functions. Which statements comparing the functions are true? Select three options. A. Only f(x) and h(x) have y-intercepts. B. Only f(x) and h(x) have x-intercepts. C. The minimum of h(x) is less than the other minimums. D. The range of h(x) has more values than the other ranges. E. The maximum of g(x) is greater than the other maximums.
Answer:
CDE
Step-by-step explanation:
A) Only h(x) has a y intercept which is at x=0. At this point the y intercept is 0.
B) Only f(x) have a x intercept at f(x) = 0. The graph of f(x) touches the x axis at f(x) = 0.
C) h(x) has the lowest minimum, its minimum is at -28 while f(x) have a minimum at -14 and g(x) have a minimum at 1/49
D) The range of h(x) has more values than the other ranges ranging from -28 to -28.
E) g(x) has the highest maximum, its maximum is at 49 while f(x) have a maximum at 14 and h(x) have a maximum at 0
Answer:
A B E I think, it's not C D E
Step-by-step explanation:
Iahahahaidbirkesmosnskaksojs
Seventh grade
According to his running log, Joe averaged 3 miles per week this month, which is 50% more
than last month. How much did he average last month?
Answer:
1.5 Miles per Week
Step-by-step explanation:
So first you can take 50% and turn it into a decimal 0.50
Then you times it by how much he ran this month
3x0.50=1.5
PLEASE HELP FAST What is the answer for this I will give brainless an extra points for correct answer I appreciate it
Answer:
-3
Step-by-step explanation:
the answer is negative 3, because when x is two, y is three
Answer:
f(2) = -3
Step-by-step explanation:
This is the answer because:
1) The question is basically asking what the y-cordinate is.
2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.
3) When you line up the cordinates, you can see that where x is 2, y is -3.
Therefore, the answer is -3.
Hope this helps! :D
What must be done to categorical variables in order to use them in a regression analysis?
Choose one answer.
a. categorical coding
b. nothing
c. problem coding
d. dummy coding
d. Dummy coding. Categorical variables need to be converted into numerical variables to be used in regression analysis. Dummy coding involves creating binary variables for each category of the categorical variable.
For example, if the categorical variable is "color" with categories "red," "green," and "blue," dummy coding would involve creating three binary variables: "red" (0 or 1), "green" (0 or 1), and "blue" (0 or 1). These binary variables can then be used in the regression analysis. In conclusion, to use categorical variables in regression analysis, dummy coding is necessary.
In order to use categorical variables in a regression analysis, they must be converted into numerical values. This process is called dummy coding (also known as one-hot encoding). Dummy coding involves creating new binary variables (0 or 1) for each category of the categorical variable. This allows the regression model to incorporate the categorical data while maintaining its numerical nature.
To use categorical variables in a regression analysis, you must apply dummy coding to convert them into numerical values.
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Please, please someone help me with this, it's 2 in the morning I just need help
The evaluation of the expression - 8 - (- 2 + 7)² is -33.
How to evaluate an expression?- 8 - (- 2 + 7)²
Using PEMDAS
P = parenthesis
E = Exponential
M = Multiplication
D = Division
A = Addition
S = Subtraction
- 8 - (- 2 + 7)²
= - 8 - (5)²
= - 8 - 25
= -33
Hence, -33 is the results of the evaluation of the expression.
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Which statements about geometric sequences are true?
There is more than one correct answer. Select all that apply.
Geometric sequences have a common ratio between terms.
Geometric sequences are restricted to the domain of natural numbers.
Geometric sequences can have a first term of 0.
Geometric sequences have a common difference between terms.
Geometric sequences only increase, never decrease.
Answer:
Step-by-step explanation:
Geometric sequences have a common ratio between terms. TRUE
Geometric sequences are restricted to the domain of natural numbers. FALSE
Geometric sequences can have a first term of 0. FALSE. If this were true, then every member the sequence would also be 0.
The correct statements are,
Geometric sequences have a common ratio between terms.
Geometric sequences :A geometric series is one which has a constant ratio between successive terms.
A geometric series is the sum of the terms of a geometric sequence.Geometric sequences may be increase or decrease.Geometric sequences can not have a first term of 0, if the first term is zero, it will not result in a Geometric Progression.Learn more about the Geometric sequences here:
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Let the graph of g be a vertical stretch by a factor of 2 and a
reflection in the x-axis, followed by a translation 3 units down of
the graph of f(x) = x². Write a rule for function g and identify the
vertex.
Vertex is slang for a corner or a place where two lines converge.The four corners of a square, for instance, are each referred to as a vertex.
Write a rule for function g and identify the vertex ?
The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of f(x) = (x-1)²then the function g(x) = 2(x+4)²
f(x) =x²-2x+1 The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of .f(x) =x²-2x+1
Rewrite the given function f(x).
f(x) = (x-1)²
Now, the graph is stretched vertically by a factor of 2.
= 2(-x-1)²
reflect the graph about the y-axis.
2(x+1)²
move to the left by 3 units.
= 2(x+3+1)²
=2(x+4)²
The function g(x) =2(x+4)²
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A balls falls from a window. Its height, as a function of time, is modeled by y= -4.982+12.
Answer:The function is nonlinear
Step-by-step explanation:
A P E X
Gwen says that the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 is Gwen correct explain why or why not
The sum of -1 and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.
First we will convert the mixed fractions into improper fractions.
-1 and 3/4 = -7/4
2 and 1/2 = 5/2
Sum of -1 and 3/4 and 2 and 1/2 = -7/4 + 5/2 = -7/4 + 10/4 = 3/4
Difference between 2 and 1/2 and 1 and 3/4 = 5/2 - 7/4 = 10/4 - 7/4 = 3/4
As both the values equal to 3/4 , we can say that the sum of -1 and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.
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Conider the line .3x-6y=-8
Find the equation of the line that i parallel to thi line and pae through the point .4,2
Find the equation of the line that i perpendicular to thi line and pae through the point . (4,2)
The equation of the straight line perpendicular to the line 3x - 6y = - 8 is y-2x+6=0 and of line parallel to the line 3x - 6y = - 8 is y=0.
The general equation of a straight line is -
y=mx+c
where -
m is slope of line which tells the unit rate of change of y with respect to x.
c is the y - intercept i.e., the point where the graph cuts the y axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
\(y=\frac{-A}{B} x-\frac{C}{B}\)
Given that: -
\(3x-6y=8\\\\6y=3x-8\\\\y=\frac{1}{2}x-\frac{4}{3}\)
then,
\(m=\frac{1}{2}\\\\c=\frac{4}{3}\)
For a parallel line,
\(m=\frac{1}{2}\\and,(4,2)\)
\(y-y_{1}=m(x-x_{1})\\\\y-2=\frac{1}{2}(x-4)\\\\2y-4=x-4\\\\y=\frac{x}{2}\)
The equation of parallel line is y=0.5x
For a perpendicular line
\(m=2\\\\y-2=2(x-4)\\\\y-2=2x-8\\y-2x=-6\\y-2x+6=0\\\)
Therefore, the equation of the line perpendicular to the line 3x - 6y = - 8 is y -2x+6=0 and of line parallel to the line 3x - 6y = - 8 is y = 0.5x.
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The parents club compiled a cookbook.
One company charges $750 to make a master copy and $25 for each additional copy. The total selling price depends on
how many copies are ordered. Write a function rule and create a table of values to graph the rule. How much will you save per book by ordering 400 books instead of 100 books?
Answer:
each book saves $295.6875
Step-by-step explanation:
Let the number of book be n
Total cost = 750 + (n-1)*25
For 100 books
cost = 750 + 99*25 = $3225
each book costs = $322.5
For 400 books
cost = 750 + 399*25 = $10725
each book costs = $26.8125
each book saves $295.6875
f(x)=8x^2 -800 Enter the solutions from least to greatest.
Answer:
x = -10, 10
Step-by-step explanation:
Step 1: Write out function
f(x) = 8x² - 800
Step 2: Set equal to 0
0 = 8x² - 800
Step 3: Add 800 on both sides
800 = 8x²
Step 4: Divide both sides by 8
x² = 100
Step 5: Take square root on both sides
x = ±10
Step 6: Arrange
-10 < 10
So x = -10, 10
if there are 8.6x10-6 coulombs of excess charge on each plate, what is the potential difference between the two plates?
The potential difference between the two plates is approximately 970 volts.
The potential difference between the two plates can be calculated using the formula:
V = Q / C
where V is the potential difference, Q is the charge on the plates, and C is the capacitance of the system.
Assuming the two plates form a parallel plate capacitor with a separation distance d and a plate area A, the capacitance can be calculated as:
C = ε0 × A / d
where ε0 is the permittivity of free space.
Substituting the given values, we get:
C = ε0 × A / d = 8.85 × 10^-12 F/m × A / 1 × 10^-3 m = 8.85 × 10^-9 F
Q = 8.6 × 10^-6 C (given)
Therefore, the potential difference between the two plates is:
V = Q / C = (8.6 × 10^-6 C) / (8.85 × 10^-9 F) = 970.06 volts
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