Answer:
Total = 116 cm²
Step-by-step explanation:
Top-right rectangle:
area = length x width
= 6cm x 2 cm
= 12 cm²
Middle rectangle:
area = length x width
= 16cm x 4cm
= 64 cm²
Bottom-left rectangle:
area = length x width
= 10 x 4
= 40 cm²
Total = 12 + 64 + 40
= 116 cm²
What is the range of : 4,3,3,15,28
Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
Find the value of X.
Answer:
i think 32
Step-by-step explanation:
128÷12 = 10.6666666666
10.6666666666×3 = 32
Make me brainliest
Distance between (-7,-6) and (-2,-16)
Exact form:
2\(\sqrt\ 13\)
Decimal form:
7.21110255 or 7.21
Answer:
11.1803
Step-by-step explanation:
let: f(x)=x+1 and g(x)=x^2-2
find: f(x) • g(x)
Answer:
Use Photo Math!!! It will help you and explain everything
Answer:
x³ + x² - 2x -2
Step-by-step explanation:
Question 4 of 10
What is i86
O A. -1
B. 1
O c. i
O D. 1
Answer:
option c-i is the answer
50 pts. Compute the requested operating costs as indicated, based on the preceding table and the following information.
Car: six-cylinder compact
Year driven: second
Miles driven: 14,000
The insurance cost for second year is $
.
If the answer is right, (I will check it,) then I will post a question and give you more points. just get on my prophile, and keep reloading on my "questions' page. 100 extra points.
DONT FLAG. I NEED HELP WITH THIS PROBLEM AND I"M TRYING TO GET A REAL ANSWER.
From the table , the insurance cost for the second year based on the prescription given is : $1329
Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .
The operating cost in insurance for the second year is therefore $1329.
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The number of students, y, still participating in the final round of a school spelling bee compared to the number of spelling words attempted, x, can be represented by a scatter plot with a negative, linear association. Which equation for a line of best fit could be used to represent the number of students still participating in the final round of the school spelling bee given a number of spelling words attempted?
The possible line of best fit is given by y = -0.5x + 10
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Let y represent the students still participating in the final round while x represent the number of spelling words attempted.
Since the line of best fit has a negative, linear association, this means that the slope is negative. A possible linear function is:
y = -0.5x + 10
The possible line of best fit is given by y = -0.5x + 10
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the temperature at 4 p.m. was -2 °c an hour later the temperature had decreased 3°c what was the temperature at 5:00 pm ?
Answer:
Step-by-step explanation:
3 degrees Celsius
It says at 4 p.m. was -2 degrees C. Then an hour later which would be 5 pm the temperature was 3 degrees C.
Suppose the x-axis of a density graph represents someone's weight in
pounds. If the area under the density graph from 120 pounds to 150 pounds
is 0.34, what is the probability of someone's weight being anywhere from 120
pounds to 150 pounds?
O A. 46%
B. 34%
O
C. 52%
OD. 28%
Answer:
b
Step-by-step explanation:
Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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a sand box has the length that is 5 1/2 and a width that is 4 4/5 feet. what is the area of the sandbox?
Answer:
26 2/5 feet
Step-by-step explanation:
Find y=f(x) if f''(x)=6x-2, f'(1)=3, and f(2)=7
Answer:
\(f(x)=x^3-x^2+2x-1\)
Step-by-step explanation:
Since \(f''(x)=6x-2\), then \(f'(x)=3x^2-2x+C\), thus:
\(f'(x)=3x^2-2x+C\\\\f'(1)=3(1)^2-2(1)+C\\\\3=3-2+C\\\\3=1+C\\\\2=C\)
Therefore, since \(f'(x)=3x^2-2x+2\), then \(f(x)=x^3-x^2+2x+C\), thus:
\(f(x)=x^3-x^2+2x+C\\\\f(2)=2^3-2^2+2(2)+C\\\\7=8-4+4+C\\\\7=8+C\\\\-1=C\)
In conclusion, \(f(x)=x^3-x^2+2x-1\)
Which equation has a constant of proportionality equal to
There are many equations that has a constant of
proportionality, might want to make it more specific.
Answer:
i can answer this if you tell me whay the constant of proportionality is. or you can add a attachment
Step-by-step explanation:
determine x in the following equation 2x - 4 = 10
Answer:
7
Step-by-step explanation:
10+4 = 14
14/2 = 7
x = 7
A 48-ounce bottle of soda costs $1.79. What is the unit price?
a. $.04
b. $.06
c. $.40
d. $.53
Answer:
a. $.04
Step-by-step explanation:
$1.79/48 = 0.037 = 0.04
Identify the simplest polynomial function that has the given zeros
-2,4,5
P(x) = x³ - 7x² + 2x + 40
P(x) = x³ + 7x² - 2x - 40
P(x) = x³ - 7x² + 2x - 40
P(x) =x^3+7x² - 2x + 40
Answer:
is correct
x^3 -7x^2+2x +40
multiply the constants of the factors (each factor has opposite sign of the zero)
(x+2)(x-4)(x-5) 2(-4)(-5) = 40, that eliminates all but c) and d)
(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5) by using FOIL on the 1st two factors
then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)
-5 times -2x = 10x, x times -8 = -8x. 10x-8x = 2x which c) has but d) doesn't.
Step-by-step explanation:
Write an expression (simplified) for the perimeter of the given figure.
Answer
i´m not sure what the answer is but hopefully these tips helped you
Step-by-step explanation:
first, sum up all sides of the lengths then simplify
5/8 + 3/4 / -2/3- 5/6.
Answer:
-5/16 or -0.3125
Step-by-step explanation:
Answer:
-11/12
Step-by-step explanation:
Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
limx→−2 x−8/3x2−5x+5.
\( \frac{2x - 8}{3 \times 2 - 5x + 5} \)
\( = \frac{2x - 8}{6 - 5x + 5} \)
\( = \frac{ -8 }{6 -3x + 5} \)
\( = bro \: \: i \: \: don.t \: \: kmow\)
Answer:
\( - \frac{2(x + 4)}{ - 5x + 11} \)
Step-by-step explanation:
\(1. \: \frac{ - 2(x + 4)}{3 \times 2 - 5x + 5} \\ 2. \: \frac{ - 2(x + 4)}{6 - 5x + 5} \\ 3. \: \frac{ - 2(x + 4)}{ - 5x + 11} \\ 4. \: - \frac{2(x + 4)}{ - 5x + 11} \)
There is your answer
find f such that f’(x)=x^2-9 and f(0)=7
The function f such that f'(x) = x² - 9 and f(0) = 7 is given by, f(x) = x³/3 - 9x + 7.
Given that the differentiated function is,
f'(x) = x² - 9
We have to do integration the function in order to get the initial function that is f(x).
f(x) = ∫(x² - 9).dx = ∫x².dx - ∫9.dx = x³/3 - 9x + c, where c is an integration constant.
f(x) = x³/3 - 9x + c
Again it is given that f(0) = 7.
f(0) = 7
0³/3 - 9*0 + c = 7
c = 7
Hence the function is, f(x) = x³/3 - 9x + 7.
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Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
The quadratic function
Answer:
Four and three arithmetic numbers of this equation are then
Step-by-step explanation:
\(x = 3 = x = 4 > - 4 > < - 3 = x = 4\)
And the numbers are equal
\(x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12\)
New shoes are on SALE. You find a pair you like for $85 dollars. But you only have $45 with you. So, you pay $40 and
charge the balance. At 8% interest, what will the balance owed be in six months? (Assume no payments made and simple interest.)
0 0 0 0
a) $24.25
b) $35.50
c) $46.80
d) $50.00
Answer:
C) $46.80
Explanation:
The price of new shoes = $85
The amount paid for the shoes = $ 40
The balance amount for the shoes = $85 - $40 = $ 45
The rate of interest = 8%
The time period = 6 months = 0.5 years
Simple interest:
Simple interest = = $1.8
So, Amount = Principal + Interest
or, Amount = $45 + $1.8 = $ 46.8
The balance amount owned in six months is $46.8
Answer:
$46.8
Step-by-step explanation:
i took the test
MATH QUESTION HUGE POINTS FOR IT JUST PLEASE MAKE SURE IT CORRECT
The value of the determinant |A| = 1
In the above question, a determinant is given, having k as one of the entry
We need to find the, value of |A|
If A is the matrix, then |A| stands for the matrix's determinant. The first element of the first row is multiplied by a secondary 2x2 matrix made up of the other 3x3 matrix elements that do not belong to the row or column to which your first chosen element belongs in order to get the determinant of the 3x3 matrix.
Calculus, linear algebra, and advanced geometry frequently make use of the determinant of a matrix.
So, |A| = a11(a22.a33 - a23.a32) - a12(a21.a33 - a23.a31) + a13(a21.a32 - a22.a31)
|A| = 1.(1 -0) - 0(0 - 0) + 0(0-k)
|A| = 1
Hence, the value of the determinant |A| = 1
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Analyzing a Solution
Mark used a number line to model dividing by 3. He
3
divided the number line from 0 to 1 in 3 equal sections,
and then divided each of those sections into 2 equal
1
parts. Mark says+3 is 3.
Is his answer correct? Explain why or why not.
No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.
Mark's answer is not correct.
When dividing a number line into equal sections, the value of each section represents a fraction of the whole.
In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.
Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.
So far, this is correct.
However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.
So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.
Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.
Mark made an error by mistakenly assuming that each smaller division represents the number 3.
In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.
The correct representation for dividing the number line as described is 1/6.
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Solve for t.
4 (t + 1/4) = 3
Answer:
t=1/2
Step-by-step explanation:
lcm of 40,36,126
a)2520
b)2568
Answer:
The correct choice is option a. 2520
Step-by-step explanation:
LCM of 40, 30, and 126 is as followed:
= 2 × 2 × 2 × 3 × 3 × 5 × 7
= 2520
Answer:
a)2520 is correct
Can anyone solve this step by step
Answer:
8.38 in41.89 inStep-by-step explanation:
The length of the arc is proportional to the central angle.
CircumferenceThe circumference of the circle is given by ...
C = 2πr
C = 2π(8 in) = 16π in ≈ 50.265 in
Shorter arcThe 60° arc represents 60°/360° = 1/6 of the circle, so its measure will be 1/6 of the total circumference.
short arc = (1/6)(16π in) ≈ 8.38 in
Longer arcThe remaining portion of the circle is 5/6 of the total circumference, so is ...
long arc = (5/6)(16π in) ≈ 41.89 in
__
Additional comment
If you use 3.14 for pi, you will get shorter lengths for the arcs. Here, we used the calculator's "pi button."
The Print Shop provides copying services to the general public. The Print Shop has equipment which is capable of making 1,800 copies per hour. The practical capacity of the equipment is 7 hours per day due to set up time and time to re-supply paper and toner. Customers expect quick service. If copies cannot be made within an hour, the customer will take their job elsewhere. The Print Shop has an excellent location and as such the business has a fairly steady demand of 10,000 copies per day. The shop charges 25 cents a copy and has a total variable cost of 22 cents per copy. Required: (a) At 8 a.m. one morning a customer brings in 5,000 pages to be copied. The customer has requested that the copies be available by closing time. For this one-time order, the customer will only pay 24 cents per copy. Prepare a financial analysis to determine whether the order should be accepted. (3 marks) (b) Calculate the largest order from this customer that the shop could accept at 24 cents per copy and still earn a normal day’s income.
a) The financial analysis determining the acceptance of the special order is as follows:
Data and Financial Analysis:
Capacity of photocopier per hour = 1,800 copies
Practical capacity of equipment = 7 hours
Total copies in a day = 12,600 (1,800 x 7)
Steady demand per day = 10,000
Variable cost per copy = $0.22
Service price per copy = $0.25
Profit per copy = $0.03 ($0.25 - $0.22)
Normal profit based on steady demand of 10,000 = $300 ($0.03 x 10,000)
Profit based on maximum capacity of 12,600 = $378 ($0.03 x 12,600)
Price per copy for the special customer = $0.24
Profit per copy based on special price of $0.24 = $0.02 ($0.24 - $0.22)
Profit from special customer with 5,000 pages = $100 (5,000 x $0.02)
Profit from other probable customers = $228 (7,600 x $0.03)
Lost profit for accepting special order based on maximum capacity = $50 ($378 - $228 - $100)
Lost profit if order is not accepted and demand is only 10,000 copies = $78 ($378 - $300)
Therefore, the special order at $0.24 should be accepted.b) The largest order from customer that the shop could accept = 5,000 + $50/$0.02
= 5,000 + 2,500
= 7,500 copies
Thus, if the customer orders 7,500 copies to be made, the shop can still realize a maximum profit of $378 by accepting orders for additional 5,100 (12,600 - $7,500) copies from others.
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