Kevin has $4.85 in nickels and dimes. If he has 34 fewer dimes than nickels, how many coins (nickels and dimes) does he have altogether?
A.) 74 coins
B.) 75 coins
C.) 76 coins
D.) 77 coins
Answer:
The answer would be (D) 77 coins :)
Step-by-step explanation:
PLAESE HELP ME FAST THIS IS WORTH 20 POINTS
Which is an equation of the line with x-intercept 2 and y-intercept 12?
Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. use 3.14 for pi. (1 point) 3 inches 6 inches 9 inches 12 inches
Answer:
Diameter= 6 inches
Step-by-step explanation:
Let a and b be real numbers where a=b=0. Which of the following functions could represent the graph below?
f(x)=x(x-a)^3(x-b)^3
f(x)=(x-a)^2(x-b)^4
f(x)=x(x-a)^6(x-b)^2
f(x)=(x-a)^5(x-b)
Answer:
Option: b is the answer.
( f(x)=(x-a)^2(x-b)^4 )
Step-by-step explanation:
Clearly from the graph of the function we could see that zero is not a root of the polynomial function hence option (a) ( f(x)=x(x-a)^3(x-b)^3 ) and option (c) ( f(x)=x(x-a)^6(x-b)^2 )are discarded.
Now we will check for option (b) and option (d)
As the graph touches the x-axis at two point i.e. a and b that means that both the roots of the polynomial equation are of even degree.
Hence, the correct option is:
option: b ( f(x)=(x-a)^2(x-b)^4 ).
It can be deduced that the option that represents the graph is B. f(x)=(x-a)²(x-b)⁴
How to solve the graphFrom the graph, a and b be real numbers where a=b=0. In this case, zero is not a root of the polynomial function
When the graph touches the x-axis at two point l, it implies that means that both the roots of the polynomial equation are of even degree.
In conclusion, the correct option is B.
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Is the square root of 37 rational or irrational
What number is diviscible by 2?
$40 is discounted into $32 what is the percent decrease
Maybelle looked at a hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and the same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and Show your work.
-20 points. Better yet, 30 points!! Please help!
Diff in price = %
_________ _________ thats the formula i think...
original price 100
Writing equations from graphs
Given 11 is conguent to 3, which lines, if any, must be parallel based on the given information? Justify your conclusion
A. a || b, Converse of the Alternate Exterior Angles Theorem
B. c || d, Converse of the Same-Side Interior Angles Theorem
C. a || b, Converse of the Corresponding Angles Theorem
D. not enough information to make a conclusion
QUICKK EXPERTS/ACE OR ANYONE WHO WANTS TO HELP!!
bottom left,
since the lines are parallel with each other there is no solution
Find the next two terms of the sequence. 2, 6, 10, 14, ... (1 point)
Answer:
C. 18,22
Step-by-step explanation:
Triangles XYZ and PQR are drawn on a square grid. What fraction of the area of triangle XYZ is the area of trianglePQR?
To determine the fraction of area of triangle XYZ that is occupied by triangle PQR on a square grid, we can compare their linear dimensions and use the fact that area is proportional to the square of these dimensions, or we can approximate the area through summation of small rectangular areas on the grid. Alternatively, vector methods such as the cross product can provide precise area calculations for triangles with known vertices.
Finding the Area of Triangles on a Square Grid
To find what fraction of the area of triangle XYZ is the area of triangle PQR, we follow several steps. First, we can draw both triangles on a square grid and establish their respective areas. If we assume that XYZ is the larger triangle and PQR is the smaller one, we can use the fact that area scales in proportion to the square of the linear dimensions. This means, if the linear dimensions of PQR are half that of XYZ, the area of PQR would be one-fourth that of XYZ. In mathematical terms, if the side length of XYZ is scaled by a factor of 's', the area is scaled by s².
Another method to approximate the area of irregular shapes like these triangles, as mentioned in a reference, is by dividing the shape into smaller, manageable rectangular areas whose sum approximates the total area. Counting the smallest square units within the grid and making rough estimates of the fractional squares can yield the area as well.
To demonstrate the calculation of the area of a triangle through vector methods, one can use the cross product of two vectors defined by the triangle's vertices. Given vertices A(1,2,3), B(2,4,5), and C(1,-8,0), their position vectors can be used to compute the cross product, and the magnitude of this cross product gives twice the area of the triangle ABC. This is a more advanced method and offers a precise way to calculate the area without relying on the grid.
LANDSCAPING The equation 3x+7y =105 represents the number of bags of sand x and bags of multch y that can be bought with $105. If no bags of sand are bought, how many bags of mulch can be bought with $105 ?
When no bags of sand are bought, you can buy 15 bags of mulch with $105.
Explanation:To find the number of bags of mulch that can be bought with $105 when no bags of sand are bought, we need to substitute x = 0 into the equation 3x+7y = 105. This will allow us to solve for y.
Since x = 0, the equation becomes:
3(0) + 7y = 105
0 + 7y = 105
7y = 105
Dividing both sides by 7, we get:
y = 15
Therefore, when no bags of sand are bought, you can buy 15 bags of mulch with $105.
Write an equation of the line through (5,5)and parallel to the line 4x+3y=-2
Please help
If you know how to do this, can you show the work, please?
Thanks
root of 108 is between______ and ______
Determine what two whole numbers the square root is between without using a calculator or table. Then use a calculator or table to check.
tell weather the side lengths can form a trangle
A card is drawn from a deck of 52 cards. find the probability of drawing a king or a red card
When the function f(x) is divided by x-2 the quotient is 3x^2+8x-4 and the remainder is 9 find the function f(x) and write the result in standard form?
The expression for the function f(x) in standard form is f(x) = 3x³ + 2x² - 20x + 17 if the function f(x) is divided by x-2.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
When the function f(x) is divided by (x - 2) the quotient is 3x² + 8x - 4 and the remainder is 9
By using the division algorithm:
f(x) = (x - 2)(3x² + 8x - 4) + 9
After simplification:
f(x) = 3x³ + 8x² - 4x - 6x² - 16x + 8 + 9
f(x) = 3x³ + 2x² - 20x + 17
Thus, the expression for the function f(x) in standard form is f(x) = 3x³ + 2x² - 20x + 17 if the function f(x) is divided by x-2.
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The population of bees has been decreasing at a rate of 10% per year in 2012 there were 6000 bees in particular hive how many bees were there in 2014
is (3,4) a solution of y=-x+5
The solution to f - (-4) = 12 is f = 8.
True or False
A girl starts to walk to her school, which is 20 miles away, at 6:50 and at a rate of 3 miles per hour. After a while, her dad picks her up and drives her through the remainder of the way at 30 miles per hour. If they arrived at school at 9:00, how far did she walk?
Answer:
She walked 5 mi
Fatema loves to run marathons. The last one she participated in took her 2 hours to complete. The year before (2016) , she completed the same marathon in 8/11 of the time and the year before that (2015) she completed it in 9/12 of the time. What year did Fatema run the fastest? JUSTIFY YOUR ANSWER PLEASE I NEED HELP ASAP!
the average cost for a company to produce x items is x^2-10x+43 dollars. how many items should the company produce to minimize the average cost per item?
What is 120 degrees in radians?
Answer:
[tex]\frac 23 \pi [/tex]
Step-by-step explanation:
120 degrees is one third of the whole circle, or [tex] \frac 13 2\pi [/tex]
Answer:
the answer is 2pi/3
Give the first four nonzero terms of the series about x=8 representing the function x^(1/3)
Please Help With This. What is the equation of the line shown in this graph? Answer your answer in the box.
Points are:
(-2,-3) (3,-3)