What is the greatest common factor of 15 and 20
Answer: 5
Step-by-step explanation: To find the GCF or greatest common factor of 15 and 20, we first list the factors of 15 which are 1, 3, 5, and 15.
Next, we list the the factors of 20 which are 1, 2, 4, 5, 10, and 20.
Finally, we compare the lists to find the largest shared factor which is 5.
So the greatest common factor of 15 and 20 is 5.
Image provided.
2i+3+the square root of -4. i dont understand how to write this expeession as a complex number in standard form. a step by step would be helpful! thank you!
Which functions have graphs that are steeper than the graph of f(x)=−3x^2?
Select each correct answer.
h(x)=−2x^2
g(x)=−4x^2
k(x)=3x^2
m(x)=4x^2
j(x)=2x^2
Need help asap please
I think it is k(x)=3x^2 and j(x)=2x^2 Can anyone tell me if i am correct.
Answer:
g(x)=−4x^2 and m(x)=4x^2
Step-by-step explanation:
A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.
The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.
If the parent function f(x) = x is stretched vertically by a scale factor 'k', image function will be,
g(x) = kf(x)
It's inverted form will be,
h(x) = -kx
Functions given in options (2) and (4) will be more steeper than function 'f'.
Given function is f(x) = -3x²
Functions having scale factor 'k' more than 3 will be more stretched vertically.
Hence, functions having k > 3 will be more steeper.
From the given options, g(x) = -4x², m(x) = 4x² have coefficient 'k' greater than 3.
Therefore, functions 'g' and 'm' will be more steeper than function 'f'.
Options (2) and (4) are the correct options.
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Biff earned $45 working at happy days drive-in. He spent 1/3 of the money on gas for his car and 1/5 of it on the flowers for his girlfriend. How much money does he have left for the big date? I know what the answer is but I do not know how to show my work or explain it. Please show me how you got the answer thank you very much I will make the points on this problem go up!
Answer:
Sorry I don't really know how to explain it but he would have $21 left
Step-by-step explanation:
find the value of x
Dan has 4 over 5 cup of ice cream. How many 1 over 8-cup servings are in 4 over 5 cup of ice cream?
A 30 minute TV program consist of three commercials, each 2 1/2 minutes long, and four equal length entertainment segments. How long is each entertainment segment?
A second number is 6 less than a first number. A third number is twice the first number. If the sum of three number is 306, find the numbers
Answer:
first number = 78
second number = 72
third number = 156
Step-by-step explanation:
first number = a
second number = b
third number = c
we have
b=a-6 equation 1
c=2a equation 2
a+b+c=306 equation 3
using equation 1 and equation 2 in equation 3 we have
a+a-6+2a=306
4a=306+6
4a=312
a=312/4
a=78= first number
b=78-6=72=second number
c=2*(78)=156 third number
A dvd case is 9/16 thick. how many of these cases will fit on a shelf that is 1 1/2 ft wide.
2 automobiles start together from the same place and travel along the same route. the first averages 40 miles per hour. the second 55 miles per hour. how many miles further along the route is the second auto at the end of 5 hours
A store is having a sale where movies are 15% off their original price. A movie originally cost $25. how much money will be saved by purchasing the movie on sale?
6q + 9 ≤ 9 and 6q + 9 ≥ −9
First the surface area of the cube. Round to the nearest whole number and the next one after that pllzzzzz
The surface area of the cube is approximately 396, and the next whole number after that is 397.
17/7 as a repeating decimal is approximately 2.428571.
To find the surface area of a cube, you need to multiply the side length of the cube by itself, and then multiply the result by 6.
In this case, the side length of the cube is 65/8 cm. To simplify this fraction, you can divide the numerator and denominator by their greatest common divisor, which is 1 in this case. Therefore, the simplified fraction is still 65/8.
To find the surface area, you'll need to calculate (65/8)^2 and then multiply the result by 6.
To square the fraction, you need to square the numerator and the denominator separately.
(65/8)^2 = (65^2)/(8^2) = 4225/64
Now, multiply this result by 6:
(4225/64) * 6 = 25350/64
To round this fraction to the nearest whole number, you divide the numerator by the denominator and round to the nearest whole number.
25350/64 ≈ 396.09375
Rounding this to the nearest whole number, you get 396.
The next whole number after 396 is 397.
Therefore, the surface area of the cube is approximately 396, and the next whole number after that is 397.
Now, let's move on to the next question:
To write the fraction 17/7 as a repeating decimal, you need to perform long division.
Divide 17 by 7:
2.428571...
-14
------
30
-28
------
20
-14
------
60
-56
------
40
-35
------
50
-49
------
10
The division repeats after the first decimal place, with the digits 428571 repeating indefinitely. Therefore, 17/7 as a repeating decimal is approximately 2.428571.
Defined by distinct lines in the same place which never intersect each other and have the same slope
Evaluate the expression 1/4 ÷ 2/5 – 1/2
If ∠ABD = 56, find ∠DBC.
a) 124
b) 56
c) 44
d) 34
The measure of ∠DBC is determined based on the concept that two angles forming a straight line are supplementary, which means their measures add up to 180 degrees. Thus, ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees.
Explanation:The subject of the given question pertains to Mathematics, specifically geometrical interpretation of angles. We have a situation where the measure of ∠ABD is provided as 56 degrees and we are asked to determine the measure of ∠DBC. This is a well-known scenario in geometry where one angle is given and the other is to be determined.
Important observation here is that ∠ABD and ∠DBC are on a straight line, thus they are supplementary angles. We know that the sum of supplementary angles is 180 degrees. Hence, the measure of ∠DBC will be: ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees. So, the correct answer is (a) 124.
Learn more about Supplementary Angles here:https://brainly.com/question/18164299
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Which set of rational numbers is correctly ordered from least to greatest circle your answer.Use a number line to help find your answer.
A.-0.48,-0.47,-0.46,0.45
B.-0.48,-0.46,-0.47,0.45
C.-0.45,-0.46,0.47,-0.48
Kathleen had a bag of candy-coated chocolates. Of the 55 candies in the bag, 20% were red, 30% were orange, 30% were green, and 20% were blue. Of the blue ones, 20% had a damaged candy coating. Approximately how many of the blue ones had a damaged candy coating?
How can I write number 8 in the tens place
the sum of 15 and x is greater than or equal to 12 minus y
A hot air balloon leaves the ground and ascends at a rate of 6 feet per second for 3 minutes. Then it descends at a rate of 3 feet per second for 2 minutes. Finally, it ascends at a rate of 4 feet per second for 5 minutes. How far above the ground is the balloon now?
The length of a rectangle is twice its width. The length is 4 1/2 feet. What is the area of the rectangle? Answer quick
Which graph represents the solution for the equation 1/6x=-2x+5
Answer:
B
Step-by-step explanation:
You eat 3 8 of a pie and your sister eats 1 4 of the pie. Explain who ate more of the pie
An adult African elephant can weigh up to 7 tons. At birth an African elephant weighs about 200 pounds. How many more pounds does an adult African elephant weigh than a newborn?
Function f is an exponential function.
x −4 −2 0 2 4
f(x) 316 34 3 12 48
By what factor does the output value increase as each input value increases by 1?
Answer:
The output value increased by factor 2.
Step-by-step explanation:
The general form of the exponential function is
[tex]f(x)=ab^x[/tex]
Where, a is initial value and b is growth factor.
From the given table it is noticed that at x=0, the value of f(x) is 3. It means the initial value is 3.
[tex]a=3[/tex]
The another value of f(x) is 12 at x=2.
[tex]f(3)=ab^2[/tex]
[tex]12=(3)b^2[/tex]
[tex]4=b^2[/tex]
[tex]b=2[/tex]
The required function is
[tex]f(x)=3(2)^x[/tex]
Since the growth factor is 2, therefore the output value increased by factor 2.
Sam was still finishing his breakfast when his brother Leo left for school. Sam started to run after Leo when Leo was already 100 meters away. How soon will Sam catch up, if he is running at a speed of 105 meters per minute while Leo is walking at a speed of 65 meters per minute?
Answer:
Sam will catch up his brother in 2.5 minutes
Step-by-step explanation:
Two equations can be written to represent the problem.
Sam: y1 = 105*t
Leo: y2 = 100 + 65*t
where y represent position, in meters, and t is time in minutes. That is, after 1 minute after Sam started to run, Sam will be at 105 meters of distance from the house, and Leo will be at 165 meters of distance from the house.
When Sam catch up Leo, the distance travelled by both equals:
y1 = y2
105*t = 100 + 65*t
105*t - 65*t = 100
40*t = 100
t = 100/40
t = 2.5 minutes
What is 2/7 as a percent
Simplify the numerical expression: -4.2 + 8.1 x ( -1.9)
How much more money does she need
5 pounds of bananas cost 0.80*5 = 4 dollars
5 pounds of apples cost 1.40 *5 = 7 dollars
4+7 = 11 dollars
11 dollars is greater than 10 so she does not have enough and needs 1 more dollar
Hey!
Hope this helps...
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Because it is asking for 5 pounds of both bananas and apples, we will multiple the amount per pound for each by 5...
Bananas: $1.40 * 5 = $7
Apples: $0.80 * 5 = $4
The Total is: $11
Now we ask: Is $10 greater than or equal to $11?
Answer: No
So...
The answer is: Janice's mother did not give Janice enough money, and need $1 more to make the full purchase...