Given:
Area = 150 square feet
Bases = 14 feet and 16 feet
Find the height of the trapezoid.
Let us use the formula of finding the Area of a trapezoid to get the value of its height.
A = (a+b)/2 * h
150 ft² = (14ft + 16ft)/2 * h
150 ft² = 15ft * h
150 ft² / 15 ft = h
10 ft = h
The height of the trapezoid is 10 feet.
In order to easily picture out the operation involving fractions, let's write it in an algebraic equation. So, the above description is written as
20x⁶/15y⁵ × 5y²/6x⁴
The first thing to do is to simplify the easiest terms: the constants. Just multiply all the constants on the numerator and all the constants on the denominator independently. The simplified constant becomes
(20*5)/(15*6) = 10/9
So, the equation to be solved now is
10x⁶y²/9y⁵ x⁴
So, I also multiplied all the variables in the numerator and denominator independently, just like the constants. Then, you apply the laws of exponents. When you divide terms with exponents of the same value of the base, you subtract the exponent on the numerator minus the denominator. It goes like this:
10/9 * x⁶⁻⁴*y²⁻⁵ = 10/9*x²y⁻³
Now, when the exponent as written to the power of a negative exponent, just simply take its reciprocal to make it positive. So, the final answer is
10x²/9y³ or that is letter D.
Answer:
26 times
Step-by-step explanation:
The question has missing details. However, the given parameters are
Given
Without Coupon
Bus Fare = $2.00
With Coupon
Coupon = $39.00
Bus Fare = $0.50
Represent the number of fares with x
Without Coupon, cost of fares is
Cost = 2x
i.e.
f(x) = 2x
With Coupon, cost of fares is
Cost = 39 + 0.5x
i.e.
g(x) = 39 + 0.5x
To calculate when both fares will be equal, we must have:
f(x) = g(x)
2x = 39 + 0.5x
Collect like terms
2x - 0.5x = 39
1.5x = 39
Solve for x
x = 39/1.5
x = 26
This implies that, for both cost to be equal, the person must go 26 times
Answer:
In a one-way ANOVA, the 
is calculated by taking the squared difference between each person and their specific groups mean, while the 
is calculated by taking the squared difference between each group and the grand mean.
Step-by-step explanation:
The one-way analysis of variance (ANOVA) is used "to determine whether there are any statistically significant differences between the means of two or more independent groups".
The sum of squares is the sum of the square of variation, where variation is defined as the spread between each individual value and the mean.
If we assume that we have p groups and each gtoup have a size 
then we have different sources of variation, the formulas related to the sum of squares are:
A measure of total variation.
A measure of variation between each group and the grand mean.
A measure of variation between each person and their specific groups mean.
Answer:
8 and 10
Step-by-step explanation:
All you need to know to begin setting this up is that to get from one even integer to the next consecutive even integer, add 2.
Start with x = an even integer (yes, because you say so!)
Next even integer = x + 2
"five times the first integer is equal to four times the second integer"
5x = 4(x + 2)
Distribute the 4.
5x = 4x + 8
Subtract 4x
x = 8
The two integers are 8 and 10
5(8) = 4(10) as desired!
