Answer:
○ C. The lines are perpendicular.
Step-by-step explanation:
In order for equations to be perpendicular,their rate of changes [slopes] must be OPPOSITEMULTIPLICATIVEINVERSES, which in this case is so:
− to +}
> OPPOSITE
+ to −}
MULTIPLICATIVE INVERSE [RECIPROCAL]
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2928 : 653 = ?
Answer:
4.484.
Step-by-step explanation:
1. Start by dividing the first digit of the dividend (2) by the divisor (6). Since 2 is smaller than 6, we move to the next digit, resulting in a quotient of 0.
2. Bring down the next digit of the dividend (9) and divide it by the divisor (6). 9 divided by 6 is 1 with a remainder of 3. Therefore, the quotient becomes 1.
3. Next, bring down the next digit of the dividend (2) and combine it with the remainder from the previous step (3) to get 32. Divide 32 by the divisor (6), resulting in a quotient of 5 with a remainder of 2.
4. Bring down the last digit of the dividend (8) and combine it with the remainder from the previous step (2) to get 28. Divide 28 by the divisor (6), resulting in a quotient of 4 with a remainder of 4.
5. Since there are no more digits to bring down, the division process is complete.
Therefore, the solution to the equation 2928 : 653 is approximately 4.484
Answer:
10 for $4.25 has a better value than 2 bunches of 5 for $2.25 each.
Step-by-step explanation:
3 oranges = $1.35
y × 3 = 1 × 1.35
3y = 1.35
3y ÷ 3 = 1.35 ÷ 3
y = $0.45
4 oranges = $1.80
y × 4 = 1 × 1.8
4y = 1.8
4y ÷ 4 = 1.8 ÷ 4
y = $0.45
5 oranges = $2.25
y × 5 = 1 × 2.25
5y = 2.25
5y ÷ 5 = 2.25 ÷ 5
y = $0.45
y × 1 = 0.45 × 10
y = $4.50
y × 10 = 1 × 4.25
10y = 4.25
10y ÷ 10 = 4.25 ÷ 10
y = 0.425
$0.425 ≈ $0.43
y = h(x)
y = g(x)
y = k(x)
On a coordinate plane, 4 functions are on the graph. Y = f (x) and y = g (x) represent exponential decay, and y = h (X) and y = k (x) represent exponential growth.
Among all the given options, the functions y = h(x) and y = k(x) depict exponential growth.
Exponential Growth and Decay:
Exponential growth and decay are suitable for rapidly changing quantities. Exponential growth and decay are derived from the concept of geometric progression. A quantity that does not change at a constant rate but changes exponentially can be called exponential growth or exponential decay.
Exponential growth is used in the study of bacterial growth, population growth, and monetary growth patterns. Exponential decay refers to a rapid decrease in number over a period of time. Exponential decay can be used to find food spoilage, half-life, radioactive decay.
According to the Question:
The standard form of an exponential equation is y = a(b)ˣ
where, a is the initial value
b is the rate
Exponential decay occurs when the final value (y) is less than the initial value (a) An example is the reduction of bacteria in the human body
Exponential growth means that the final value (y) is greater than the initial value (a). An example is spreading rumours.
A graph that is initially flat and grows instantaneously over a period of time in the vertical direction
So y = h(x) and y = k(x) are functions representing exponential growth
Learn more about function::
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Answer:
The dimensions of the field is 185 yards by 48 yards
Step-by-step explanation:
Here, we are interested in calculating the dimensions of the field.
Let the width of the field be x yards
From the question, we are made to know that the length of the field is 7 yards less than quadruple ( 4 times) the width
So mathematically, the length of the field will be ;
(4x -7) yards
The perimeter of the field mathematically is:
2(l + b)
Thus;
2(x + 4x- 7) = 466
2(5x -7) = 466
divide both side by 2
5x - 7 = 466/2
5x - 7 = 233
5x = 233 + 7
5x = 240
x = 240/5
x = 48 yards
Length of field is; 4x -7 = 4(48) -7 = 192 - 7 = 185 yards
Answer:
8.2
Step-by-step explanation:
509.056/62.08