The following are stated goals for this class:
1. Help students develop their ability to apply math concepts to real-world problems.
2. Increase your knowledge of consumer applications and personal financial management.
3. Explain the basics of home mortgages.
These goals are aimed at providing students with practical skills and knowledge that can be applied to their everyday lives, such as managing personal finances, understanding the mortgage process, and planning for retirement.
By learning math concepts in the context of real-world situations, students are better equipped to make informed decisions and solve problems that they may encounter in their personal and professional lives.
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Name one pair of congruent sides. A. Segments PR and SV B. Segments QR and ST C. Segments RP and TS D. Segments PQ and VS
Answer:
Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.
#1 Congruent Angle
#2 Congruent Sides
#3 Side Angle Side
I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification
Estimate the product.
14×212
Solve 2x +8≤10 or 2x+8>20 please i need answers ASAP
Answer:
the think the answer is A. x ≤ 1 or x 6 >
find the coordinates of the vertex
You can either transform this quadratic equation into a vertex form which would rather painful or use derivatives.
I'll use dervatives. We know that vertex of a quadratic function is either its maxima or its minima, since the leading coefficient \(-x^2\) has a negative prefix that means we get a downward turned parabola with minima being the vertex.
First we take the derivative with respect to x,
\(\dfrac{d}{dx}-x^2-2x+3=-2x-2\)
The derivative is esentially information what is the slope of a function at a particular x. When the slope is 0 we reached some sort of turning point, such as minima.
We therefore do,
\(-2x-2=0\implies x=-1\)
So at \(x=-1\) there appears to be a minima or x-coordinate of the vertex of the function.
Plug the coordinate into the function to get y,
\(y=f(-1)=-1+2+3=4\)
So the vertex of the function is at \(\boxed{(-1,4)}\).
Assuming you don't know derivatives, there is another way.
First compute the roots of the function,
\(-x^2-2x+3=0\)
\(-(x-1)(x+3)=0\)
\(x_1=1,x_2=-3\)
In the middle between \(x_1,x_2\) is an x coordinate of a vertex,
\(x=\dfrac{x_1+x_2}{2}=\dfrac{1-3}{2}=-1\)
Just like we had before, we compute for y, \(h(-1)=4\) and again the result is \(\boxed{(-1,4)}\).
Hope this helps :)
What is the area of this parallelogram?
6 cm
2 cm
Answer:
12
Step-by-step explanation:
Area= base*height
Area= 6*2
Answer:
12cm
Step-by-step explanation:
hight & Base=6 cm & 2 cm
Formula for area: hight×base=6 cm×2 cm
12cm
A large group is ordering shirts for a company outing. The order will be based on how many employees sign up for a shirt.
The independent variable in this situation is the size of the order.
True
OR
False
Answer:
False
Step-by-step explanation:
The dependent variable changes, the size of the order will change depending on how many employes want a shirt.
Explain why 1/12 hour + 1/2 = 7/12:)
Answer and Step-by-step explanation:
1/12 and 1/2 don't have common denominators. Change the 2 to 12 by multiplying by 6.
Then multiply 1 by 6, then 6+1 equals 7
7/12
Answer:
7/12
Step-by-step explanation:
Finding the LCD on each would give you 12. Then multiplying what you multiplied on the denominator, you would get 1/12 + 6/12. Which would give you 7/12.
Hope this helped!
Have a good day!
Use 2-3 sentences, in your own words, to describe the difference between the side opposite of an acute angle and the side adjacent to an acute angle in a right triangle. Use the definitions to explain each.
Answer:
The opposite side is across from a given angle. The adjacent side is the non-hypotenuse side that is next to a given angle.Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.
Step-by-step explanation:
Correct my answer is check
Suppose P( A) = 0.60, P( B) = 0.85, and A and B are independent. The probability of the complement of the event ( A and B) is: a. .4 × .15 = .060 b. 0.40 + .15 = .55 c. 1 − (.40 + .15) = .45 d. 1 − (.6 × .85) = .490
Answer: a. 0.4 × 0.15 = 0.060
Step-by-step explanation: Probability of the complement of an event is the one that is not part of the event.
For P(A):
P(A') = 1 - 0.6
P(A') = 0.4
For P(B):
P(B') = 1 - 0.85
P(B') = 0.15
To determine probability of A' and B':
P(A' and B') = P(A')*P(B')
P(A' and B') = 0.4*0.15
P(A' and B') = 0.06
Probability of the complement of the event is 0.060
WHO WAS IN PARIS ??????????????????????
Answer:
I don't think I'm allowed to say that word. But it is also a discriminatory phrase used by people in the slave days.
But it's a song by Kayne
________ in Paris
Step-by-step explanation:
Answer:
guys were in Paris
Step-by-step explanation:
Offered to refund some money if the tire fate to reach 30,000 mies before the tire needs to be replen Speholly, for tres with a time below 30.000 miles, Gear will refund a customer 11 per 100 miles short of 30,000
a. For each tires sold, what is the average cost of promotion (in $) (use at least 1,000 trials. Round answer to two decimal places.)
b. what is the probability that Grear will refund more than $25 for a tire? (use at least 1,000 trials. Round answer to three decimal places.)
Answer:
Step-by-step explanation:
The simulation model in excel and calculation of the answers is given below along with formulas:
Formula used for simulation of tire life in Excel range B2:B502 =NORMINV(RAND(),36500,5000)
Note: Once this formula is entered in all the cells in range B2:B502, copy these cells and paste as values, so that Goal seek function can work for part C
The expression is equivalent to? Please?
Answer: The expression 2√2 + √50 is equivalent to 7√2.
Step-by-step explanation: When 2√2 + √50 is added together, the result if 7√2.
to meet slope constraint rhonda wants to change the height of the zip-line 7 ft and end at a height 9 ft above the ground
Test Rhonda’s claim
All the three locations has been checked below.
Using Pythagoras theorem,
12² = 8² + x²
144 - 64 = x²
x= √80
x=8.9
Now, using Trigonometry
tan F = P/B
tan F= 8/8.9
and, sin F = P/H
sin F= 8/12 = 2/3
and, cos F = B/H
cos F= 12/8.9
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3. A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The
cost per photo varies inversely with the number of photos a customer buys, as shown in the table below.
What function models the data?
To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.
To model this relationship, we can use the inverse variation equation, which can be expressed as:
y = k/x
Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.
Let's examine the data given in the table to find the value of k:
Number of Photos (x) Cost per Photo (y)
10 10
25 4
50 2
100 1
We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):
2 = k/50
Solving for k:
k = 2 * 50 = 100
Now that we have the value of k, we can write the function that models the data:
y = 100/x
Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.
Based on the position vs. time graph, which velocity vs. time graph would correspond to the data? A graph with horizontal axis time (seconds) and vertical axis position (meters). A line runs straight upward from 0 seconds 0 minutes.
Answer:
C or the graph with continuous acceleration (straight line)
Step-by-step explanation:
It's the right answer on edguinity
Answer:
c
Step-by-step explanation:
One of the zeros of the polynomial function is 3.
f(x)=x4−x3−7x2+x+6
What is the factored form of the function?
f(x)=(x−3)2(x+1)(x+2)
f(x)=(x−3)(x+1)(x−1)(x+2)
f(x)=(x−3)(x+1)(x+2)2
f(x)=(x−3)(x+1)2(x+2)
Answer:
f(x)=(x−3)(x+1)(x−1)(x+2)
Step-by-step explanation:
1. What is solution to 0.2(6x - 12) = 0.3(6 - 4x)
Answer:
x = 1.75Explanation:
0.2(6x - 12) = 0.3(6 - 4x)
Simplify both sides of the equation0.2(6x − 12) = 0.3(6 − 4x)
(0.2)(6x) + (0.2)(−12) = (0.3)(6) + (0.3)(−4x) (Distribute)
1.2x + −2.4 = 1.8 + −1.2x
1.2x − 2.4 = −1.2x + 1.8
Add 1.2x to both sides1.2x − 2.4 + 1.2x = −1.2x + 1.8 + 1.2x
2.4x − 2.4 = 1.8
Add 2.4 to both sides2.4x − 2.4 + 2.4 = 1.8 + 2.4
2.4x = 4.2
Divide both sides by 2.42.4x / 2.4 = 4.2 / 2.4
x = 1.758 3/5 = -4x + 5 3/5 ??
Solution??
Answer:
x=−3/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
435=−4x+285
Step 2: Flip the equation.
−4x+285=435
Step 3: Subtract 28/5 from both sides.
−4x+285−285=435−285
−4x=3
Step 4: Divide both sides by -4.
−4x−4=3−4
x=−34
Answer:
as a decimal: \(x=-0.75\)
as a fraction: \(x=-\frac{3}{4}\)
Step-by-step explanation:
note: i'm going to convert the fractions to decimals because i prefer working with decimals rather than fractions :)
\(8\frac{3}{5}\) as a decimal is \(8.6\)\(5\frac{3}{5}\) as a decimal is \(5.6\)the equation is now \(8.6=-4x+5.6\)first, subtract 5.6 from both sides of the equation.
\(5.6\) and \(-5.6\) cancel each other out, leaving you with \(-4x+0\) on the right side of the equation. it's not necessary to leave the \(0\) in the equation, so just leave it as \(8.6=-4x\)now subtract \(5.6\) from the left side of the equation. \(8.6-5.6=3\), therefore the equation is now \(3=-4x\)then divide both sides of the equation by -4.
you are left with \(x\) on the right side of the equation and \(-\frac{3}{4}\) or \(-0.75\) on the left side of the equation, aka \(x=-0.75\) or \(x=-\frac{3}{4}\)and that's it! the solution as a fraction is \(x=-\frac{3}{4}\) and as a decimal is \(x=-0.75\).
if you want to check the solution, just plug one of those values in for \(x\) in the original equation. since i converted it all to decimals, i'll check my answer using \(-0.75\) for \(x\) in \(8.6=-4x+5.6\).
first, plug in -0.75 for x.
\(8.6=-4x+5.6\) ⇒ \(8.6=-4(-0.75)+5.6\)begin simplifying by multiplying -4 and -0.75.
\(-4(-0.75) = 3\)\(8.6=3+5.6\)add 3 and 5.6.
\(3+5.6=8.6\)\(8.6=8.6\)since both sides of the equation are equal, that means your \(x\) value is correct and therefore a solution to the equation!! :)
i hope this helped! have a lovely rest of your day <3
a retailer makes a profit of 5% by selling a fan for Rs 735 at what price did he purchase the fan
\(\large\boxed{\pink{\sf \leadsto He \ purchased \ the \ fan \ for \ Rs 700. }}\)
Step-by-step explanation:Given that , a retailer makes a profit of 5% by selling a fan for Rs 735 . So let us take CP be x .
Now , here
\(\implies \red{\sf Profit \ made \ by \ retailer = 5\% }\)
Here we assumed CP to be x , and profit % is 5% . So , its SP will be
\(\implies SP = CP + 5\% \ of \ CP \\\\\implies Rs 735 = x + \dfrac{5}{100}x \\\\\implies \dfrac{100x+5x}{100}= Rs 735 \\\\\implies \dfrac{105x }{100}= Rs 735 \\\\\implies x = \dfrac{735\times 100}{105} \\\\\underline{\boxed{\orange{\tt \implies x = Rs 700 }}}\)
Hence the CP of the fan was Rs 700 .Solve the equation using the steps:
2(x + 8)= 2x + 8
After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.
How to solve the given equation: 2(x + 8)= 2x + 8?Before moving to solve the equation , let's learn how to solve any algebraic expression:
Step 1: Determine whether the Distributive is necessary.
Property. If so, spread the word!
Step #2: Group similar terms together on either side of the equals symbol.
(meaning: combine all of the similar factors AND
Add up each and every integer (number).
Step #3: Align the variables so that they are all to one side of the equals symbol.
utilizing the inverse process. REMEMBER: No matter what you do
You MUST do to the other side of the equals sign what you did to the one side.
equals (symbol).
Fourth Step: When all of your variables are situated on the same side of the
You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:
fourth Step: When all of your variables are situated on the same side of the
You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:
You MUST do anything you do to one side of the equals sign.
the reverse of the equals symbol).
Step #5: Using the variable's ALONE state, isolate it
the opposite process. DO NOT FORGET: No matter what you do to one
You MUST change the other side of the equals symbol to the equals symbol
Given:
2(x + 8)= 2x + 8
2 × x + 2 × 8= 2x + 8
2x+16= 2x+ 8
16= 8
So, x∈∅.
In this equation , the value of x could not be find because variable x is dissolved in itself.
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After a 31% mark up, you purchase a new television for $524. What was the original price of the television?
Answer:
162.4$
Step-by-step explanation:
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Obtuse triangles have only one obtuse angle.
True or false
Answer: true
Step-by-step explanation:
Answer:
yes, obtuse angles have only one obtuse angle.
hence, it's true.
Step-by-step explanation:
A triangle can't have more than one obtuse angle , because if there are more than one obtuse angle the sum of measures of all interior angles will exceed 180°, which isn't possible.
What should my answer be?
i dont understand how this question works so therefeore i dont know how to do it, can anyone help?
is simply changing from percentage form to a decimal form usually, but the fractional form works the same. Check the picture below.
QUESTION:-↓
The dimensions of a room are 12.5 m by 9 m by 7 m. there are 2 doors and 4 windows in the room; each door measures 2.5 m by 1.2 m and each window 1.5 m by 1 m. Find the cost of painting the walls at Rs. 3.50 per square meter.
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Given dimensions of the room:
Length: \(\displaystyle\sf 12.5 \,m\)
Width: \(\displaystyle\sf 9 \,m\)
Height: \(\displaystyle\sf 7 \,m\)
Area of each wall:
\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)
\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)
\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)
\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)
Area of each door:
\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)
Area of each window:
\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)
Total area occupied by doors:
\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)
Total area occupied by windows:
\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)
Total wall area excluding doors and windows:
\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)
\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)
\(\displaystyle\sf = 275 - 6 - 6\)
\(\displaystyle\sf = 263 \,m^2\)
Cost of painting the walls:
\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)
\(\displaystyle\sf = 263 \times 3.50\)
\(\displaystyle\sf = 920.50 \,Rs\)
Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.
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How to you write 5,678,209 in expand form
NEED HELP ASAP WILL MARK BRAINLIEST
Answer:
Its the second one....
Step-by-step explanation:
Answer:
11x+12
Step-by-step explanation:
3x + 2x+2 + x+10 + 5x= 11x+12
(11/18-4/9)+1/6 pemdas fraction
Answer:
1/3
Step-by-step explanation:
11/18 - 4/9 + 1/6
= 1/6 + 1/6
= 1/3
The value of the fraction is 1/3.
What is PEMDAS Rule?PEMDAS rule is the same as BODMAS rule.
PEMDAS is the abbreviation for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.
Given fraction is : (11/18 - 4/9) + 1/6
We have a parenthesis (brackets) in the given expression. First solve the operations inside the bracket.
And multiply the fraction 4/9 with 2 on both numerator and denominator.
(11/18 - 4/9) + 1/6 = (11/18 - 8/18) + 1/6
= 3/18 + 1/6
There is only an operation of addition left.
Multiplying both numerator and denominator of 1/6 with 3,
(11/18 - 4/9) + 1/6 = 3/18 + 3/18
= 6/18
= 1/3
Hence the value of the fractional expression given is 1/3.
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write the equation of the line through the points (-6,-9) and (2,5)
Answer: y2-y1 and x2-x1
Step-by-step explanation:
5-9=-4
2--6=8
-4,8
Pls help with this !!!
The given graph shown in the image is a function, Option b is correct.
Given that,
A graph is shown, and we have to determine whether the graph shown is a function or not.
The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
here,
The graph shows of a curve representing an exponential function,
There is why the graph shown is a function, and also the graph is continuous and as well as differentiable.
Thus, the given graph shown in the image is a function, Option b is correct.
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