Macio wants to receive a total capital of $100,000 from selling the shares.b-When the number of shares increases from 0 to 40, the price decreases from 100000 to 0.
What is number?Number is a mathematical object used to count, measure, and label. It is a fundamental concept in mathematics, and is used to represent quantities, magnitudes, or dimensions in a variety of contexts. Numbers can be represented in a variety of forms, including integers, fractions, decimals, and scientific notation. They can also be represented graphically, in symbols and diagrams. Numbers are an essential part of everyday life, from counting and measuring to calculations and estimations.
a) Macio wants to receive a total capital of $100,000 from selling the shares.
b) The formula showing the dependence of the price of shares (y) on their number (x) is y = -2500x + 100000. This formula can be derived from the graph, which shows that the price of the shares decreases linearly as the number of shares increases. Specifically, when the number of shares increases by 1, the price decreases by 2500. Therefore, when the number of shares increases from 0 to 40, the price decreases from 100000 to 0.
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This morning, Manny took a history test. There were 50 multiple-choice problems on the test
and Manny answered 10% of them correctly. How many problems did Manny get right?
Answer:
He got 5 right
Step-by-step explanation:
10% = 0.1
50(0.1) = 5
Answer:
5 questions were answered correctly
Step-by-step explanation:
10% of 50 is 5. So that means 5 questions were answered correctly.
Convert: 8 tons = _____ pounds
A. 80 pounds
B. 4 pounds
C. 16,000 pounds
D. 8,000 pounds
8 tons = 16000 pounds
conversion:
1 tons ➟ 2000 pounds
8 tons ➟ (2000 * 8) pounds
8 tons ➟ 16000 pounds ⚡⚡
The amount 8 tons in pounds can be written as 16, 000 pounds.
To convert 8 tons to pounds,
we need to know that 1 ton is equal to 2,000 pounds.
We know that when a smaller unit converted to big unit then we have to multiply.
So, the conversion of 8 tons to pounds
= 8 tons x 2,000 pounds/ton
= 16,000 pounds
Thus, the amount 8 tons in pounds can be written as 16, 000 pounds.
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Lisa is flying from Boston to Denver with a connection in Chicago. The probability her first flight leaves on time is 0.25 . If the flight is on time, the probability that her luggage will make the connecting flight is 0.8 , but if the flight is delayed, the probability that the luggage will make it is only 0.65. Suppose you pick her up at the Denver airport and her luggage is not there. What is the probability that her first flight was delayed?
Answer:
The probability is 0.33
Step-by-step explanation:
Please find the attachment for detail
Which graph represents the function f(x) = 2x-1 +2
Answer: Graph A
Step-by-step explanation:
Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.
Malik agrees to pay 25% of the cost of his overnight camping trip with his friends, so he pays $43. How much is the full cost of the camping trip?
In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 10 hours. How many bacteria would there be after 12 hours, to the nearest whole number?
There will be roughly 12,000 bacteria after 12 hours.
What are mathematical operations?A mathematical "operation" is the process of calculating a value using operands and a math operator. The math operator symbol contains predefined rules that must be applied to the given operands or numbers. A mathematical expression is a collection of numbers and operations.So, there are 5300 bacteria and it gets doubles in 10 hours:
Then,
5300 + 5300 = 10,600 (In 10 hours)5300 × 1/5 = 1060 (In 2 hours)In 12 hours = 10,600 + 1060 = 11,660After rounding off: 12,000Therefore, there will be roughly 12,000 bacteria after 12 hours.
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If WXYZ is a rhombus with W(1,3) and Y(9,11), what must be an equation of in order for WXYZ to be a rhombus? Explain how you found your answer.
The requried equation of the diagonals for which WXYZ will be rhombus is y = -x + 12 and y = x + 12.
What is a rhombus?A rhombus is a parallelogram with all sides of equal length. This means that the diagonals of a rhombus bisect each other at right angles.
Let's first find the length of the diagonals of rhombus WXYZ using the distance formula:
WY = \(\sqrt{[(9-1)^2 + (11-3)^2]]}\) = 8√2
Since the diagonals of a rhombus bisect each other at right angles, we can use the midpoint formula to find the midpoint M of the diagonal WY:
Midpoint M = ((1+9)/2, (3+11)/2) = (5, 7)
The slope of the line passing through W and Y is:
slope WY = (11-3)/(9-1) = 8/8 = 1
Therefore, the slope of the line perpendicular to WY is -1/1 = -1.
Using the point-slope form with point M and slope -1, we get:
y - 7 = -1(x - 5)
y = -x + 12
So, the equation of the line passing through M with a slope perpendicular to the line passing through W and Y is y = x + 12 equation for XZ will be the same but the slope will be +1 so the equation is y = x + 1.
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Question 9 and 10
Thanks so much
What is x to the 50th power subtracted from 10000.834 times 35
Answer:
69
Step-by-step explanation:
Evaluate the function f(x) = 2x² – 3x
According to the solving the value of the Quadratic equation are as follows:
x = 0
x = 2
Describe the quadratic formula:We can answer any quadratic equation using the quadratic formula. The first step is to change the equation's form to ax2+bx+c=0, where a, b, but instead c are the coefficients. The formula (-b(b2-4ac))/(2a) is then used to enter these coefficients. View instances of the formula being used to solve various equations.
How should a quadratic equation be presented to students?Make a video of the pupils utilizing one technique to solve a quadratic equation. Allowing pupils to pick is an option, but you can also direct them to utilize the quadratic equation, factoring, or square-rooting.
According to the given information:f(x) = 2x² – 3x
x- (2x² – 3x) = 0
x - 2x² + 3x = 0
4x - 2x²= 0
x = 0
x = 2
According to the solving the value of the Quadratic equation are as follows:
x = 0
x = 2
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What is 4x - 8x + 11 + 24
96,400,400 in scientific notation
Answer:
9.64004x10^7
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
A crate is shaped like a rectangular prism. The
crate is 3 ft wide, 5 ft long, and 7 ft tall. What is the
volume of the prism in cubic feet?
Answer:
I think 105.
Step-by-step explanation:
3 × 5 = 15
15 × 7 = 105.
Answer: The answer is 105 cubic feet.
Step-by-step explanation: V= l x w x h, so V= 3 x 5 x 7 is the equation.
What is the BEST first step for calculating the LCM of 15 and 20
Step-by-step explanation:
The commonly used methods to find the LCM of 15 and 20 are:
1) Division Method
2) Prime Factorization Method
3)Listing Multiples
Evaluate (4x+y)^2-3z for x=2,y=-1,and z=5
Answer:
34
Step-by-step explanation:
(4x+y)^2-3z for x=2,y=-1,and z=5
LET'S SUBSTITUTE.
(4(2)+(-1))^2-3(5)
TAKE NOTE OF THE SIGNS (-) (+).
=(8-1)^2 - 15
= (7)^2 - 15
SOLVE THE NUMBERS ASSOCIATED WITH THE BRACKETS FIRST.
= 49 - 15
= 34
PLEASE THANK, RATE 5 STARS, GIVE BRAINLIEST. THANK YOU.
Answer: ok look a file then help me with my question name is bryanosuji
Step-by-step explanation:
PLEASE HELP THANK YOU HURRY FAST
1) Polynomial of 4 terms.
2) The rational roots of the function are,
x = - 2, 1
3) The zeroes of the function are,
x = - 2, - 3, 2
4) The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) The correct function which shows the cubic equation is, option 1.
We have to given that;
1) Function is,
⇒ 3x⁵ + 5x⁴ - 7x³ + 15
Clearly, There are 4 terms in function.
Hence, Polynomial of 4 terms.
2) Function is,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
The correct rational roots are satisfy the function,
Hence, We get;
Plug x = 1,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0
⇒ 0 = 0
Plug x = - 2;
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0
⇒ 0 = 0
Thus, The zeroes of the function are,
x = - 2, 1
3) Function is,
⇒ y = (x + 3) (x + 2) (x - 2)
Hence, The zeroes of the function are,
x = - 3
x = - 2
x = 2
4) Function is,
⇒ 3x² - 4 = - x⁴
⇒ x⁴ + 3x² - 4 = 0
⇒ x⁴ + 4x² - x² - 4 = 0
⇒ x² (x² + 4) - 1 (x² + 4) = 0
⇒ (x² - 1) (x² + 4) = 0
⇒ x² - 1 = 0
⇒ x² = 1
⇒ x = ±1
⇒ x² + 4 = 0
⇒ x² = - 4
⇒ x = ±2i
Hence, The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) By given graph the correct function which shows the cubic equation is, Option 1.
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Perform the indicated operation and write the answer in the form a + bi.
(3 +81) (4-3i)
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \: 36 + 23 i\)
____________________________________
\( \large \tt Solution \: : \)
\(\qquad \tt \rightarrow \: (3 + 8i)(4 - 3i)\)
\(\qquad \tt \rightarrow \: (3 \sdot 4)+ (3 \sdot - 3i) + (8i \sdot4) + (8i \sdot - 3i)\)
\(\qquad \tt \rightarrow \: 12 - 9i + 32i - (24 {i}^{2} )\)
\(\qquad \tt \rightarrow \: 12 + 23i -( 24 \sdot - 1)\)
\(\qquad \tt \rightarrow \: 12 + 23i + 24\)
\(\qquad \tt \rightarrow \: 36 + 23i\)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
\(\Large\maltese\underline{\textsf{A. What is Asked \space}}\)
Perform the indicated operation and write the answer with the form a+bi.
2 numbers given, one of which is complex
\(\Large\maltese\underline{\textsf{B. This problem has been solved!\space\space}}\)
Multiply these two numbers, just like you always multiply binomials.
\(\bf{(3+8i)(4-3i)}\) | multiply
\(\bf{3\times4+3\times(-3i)+8i\times4+8i\times(-3i)}\) | simplify
\(\bf{12-9i+32i-24i^2}\) | this can be simplified A LOT
\(\bf{12+23i-24i^2}\) | as strange as it may seem, this can be simplified even more, because isn't i^2 the same as -1?
\(\bf{12+23i-24\times(-1)}=12+23i+24}\) | add 12 and 24
\(\bf{36+23i}\)
\(\rule{300}{1.7}\)
\(\bf{Result:}\)
\(\bf{=36+23i}\). The answer is written in the form a+bi, as requested.
\(\boxed{\bf{aesthetic\not101}}\)
A $550 T.V is discounted by 30%. It is then discounted another 10%
Answer:
346.50
Step-by-step explanation:
550 discounted by 30% is 385.00.
385.00 discounted by 10% is 346.50
An 8ft length of crown molding costs $12. How much will it cost to buy 40 ft of crown molding?
Answer:
$60
Step-by-step explanation:
12/8 = x/40
40(12/8) = x
60 = x
Answer:
It costs
$60
Step-by-step explanation:
= $12÷8
= $1.5
Now
$1.5×40
= $60
Write the faction ration for each of the following.
If m
Answer:
\(\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1}, \\\\GI=5.0\)
Step-by-step explanation:
In any right triangle, the following is true:
The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)
The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)
The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)
Thus,
\(\text{3. }\\\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1},\)
\(\text{4. }\tan 68^{\circ}=\frac{GI}{2},\\GI=2\tan68^{\circ}=4.95017370683\approx \boxed{5.0}\)
Can some one help me with this math question?
Answer:
I'm pretty sure it would be base x height divided by 2 so 20×6÷2
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the index of summation. 1+41+4+9+16+25+36
The sigma notation is:
Σ (6 to k=1) k²
Given:
The summation symbol, S, tells us to add up the sequence's components. To the right of the summation sign is a typical component of the sequence that is being summed. An index that appears below the summation sign designates the variable of summation.
Typically, a sum of several terms is represented by the symbol "sigma." Typically, this symbol is accompanied by an index that changes to include all terms that must be taken into account while calculating the sum.
use 1 as the lower limit of summation and k for the index of summation. 1+41+4+9+16+25+36
⇒ 1+4+9+16+25+36
⇒ 1² + 2² + 3² + 4² + 5² + 6²
⇒ Σ (6 to k=1) k²
Hence we get the required answer.
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A. Find the Mode, Median, Mean and Range. Show your work.
1. 24, 31, 12, 38, 13, 15, 46, 62.
2. 17, 66, 14, 79, 47, 95, 32, 21, 10, 58.
3. 53, 22, 76, 46, 68, 32, 15, 29.
4. 17, 24, 8, 19, 6, 34, 10, 28, 12.
5. 5, 8, 9, 10, 11, 15, 21, 32.
6. 28, 15, 15, 46, 27, 21, 24
B. Find the mode, median, and range
7) 5.2, 5.7, 5.2, 4.3, 3.6, 3.8, 2.7, 4.2, 4.3, 3.9, 4.2
8) 18.1 , 18.6, 18.2, 18.1, 18.9, 18.6, 18.7, 18.3, 18.2, 18.6, 18.6
C. Find the mode and median for each data.
9) 2/9 , 7/9, 5/9, 1/9, 3/9, 8/9
10) 1/4, 1/11, 1/6, 1/9, 1/3 , 1/10
A.
1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.
2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.
3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.
4. Mode: No mode. Median: 17. Mean: 18. Range: 28.
5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.
6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.
B.
7. Mode: 4.3. Median: 4.2. Range: 2.1.
8. Mode: 18.6. Median: 18.6. Range: 0.8.
C.
9. Mode: No mode. Median: 4/9.
10. Mode: No mode. Median: 5/24.
DONT IGNORE PLEASE!! What is the measure of angle c
A. 94°
B. 86°
C. 18°
D. 274°
Answer:
B
Step-by-step explanation:
the sum of the 3 angles in a triangle is 180° , so
∠ c + 56° + 38° = 180°
∠ c + 94° = 180° ( subtract 94° from both sides )
∠ c = 86°
Jeremy's password is the combination of letters and numbers shown below. He
wants to know the ratio of letters to numbers in this password. Use Jeremy's
password to write the ratio THREE different ways. (Hint: think about the different
formats) 27 R Q A58 E 3 (plz help I know the problem mightseem long but not really)
Answer:
numbers:letters
5:4 (numbers:letters form)
Step-by-step explanation:
There are 5 numbers in the password and 4 letters
Hopefully this helps :)
On a number line, the coordinates of X, Y, Z, and W are - 6, -2, 4, and 8, respectively. Find the lengths of the two segments below. Then tell whether they are congruent
XY and ZW
If the coordinates of X, Y, Z, and W on a number line are - 6, -2, 4, and 8, respectively, then the lengths of the segment XY is 4 and that of the segment ZW is also 4, and hence, these two segments (XY and YZ) are indeed Congruent in nature.
To increase the understandability of this question, we will go ahead a visual representation of the number line based on the condition mentioned in the question statement, attached hereby as "Number Line (-10 to 10)".
As per the figure, we can clearly see that the line segment XY begins at (-6) on the number line and ends at (-2), i.e., Length of XY is:
[(-2) - (-6)] = 4.
Similarly, we can also see that the line segment ZW begins at (4) on the number line and ends at (8), i.e., Length of ZW is:
(8 - 4) = 4.
Also, since the lengths of both XY and ZW are same, i.e., 4 Units, they are congruent in nature.
Number Line: In elementary mathematics, a number line is a picture of a graduated straight line, with real numbers, (generally integers, both positive and negative) at equal intervals on it.Congruent Lines: Two line segments of equal lengths are known to be congruent.To learn more about number line, click on the link below.
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2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
The price of a bicycle is $108.00 plus 7% sales tax. What is the sales tax on this bicycle in dollars and cents?
Answer:
$7.56
Step-by-step explanation:
7% = 0.07
108.00 x 7% = $7.56
Triangle ABC has the coordinates A(8,4) B(12,4) C(16,12). If the triangle is dilated with a scale factor of 4, what are the new coordinates?
A. A’(32,16) B’(48,16) C’(64,48)
B. A’(4,0) B’(8,0) C’(12,8)
C. A’(12,8) B’(16,8) C’(20,16)
D. A’(2,1) B’(2,1) C’(4,3)
Answer:
A. A'(32, 16) B'(48, 16) C'(64, 48)
Step-by-step explanation:
Dilation is a transformation in geometry that changes the size of a figure while preserving its shape. It involves multiplying the coordinates of each point by a scale factor relative to a fixed center of dilation to create a new figure that is either larger or smaller than the original. The center of dilation serves as the fixed point around which the figure is expanded or contracted.
To dilate a figure where the center of dilation is the origin (0, 0), simply multiply each coordinate point by the scale factor.
In this case, as we have not been given a center of dilation, so we can assume it is the origin. The given scale factor is 4.
Given coordinates of the vertices of triangle ABC:
A (8, 4)B (12, 4)C (16, 12)To find the new coordinates after dilation with the origin as the center of dilation, multiply each coordinate point by the scale factor of 4.
A' = (8 · 4, 4 · 4) = (32, 16)
B' = (12 · 4, 4 · 4) = (48, 16)
C' = (16 · 4, 12 · 4) = (64, 48)
Therefore, the new coordinates of the dilated triangle are:
A' (32, 16)B' (48, 16)C' (64, 48)