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prohojiy [21]
3 years ago
15

Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (

3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. What is the perimeter of the triangle if x = 4?
Mathematics
2 answers:
Tasya [4]3 years ago
8 0
All you have to do is plug in the value of X in each expression for the sides of the triangle. Then after you figure out the values for the sides of the triangle in feet. Add the sides together to find the perimeter of the triangle.
prinxesslay05
2 years ago
you not telling me no answer
grin007 [14]3 years ago
8 0
The answer is 40ft. :)
prinxesslay05
2 years ago
Thank you so very much
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1) check if they given ordered pairs are solutions to the equation or not.
ziro4ka [17]
Answer: a) Yes
b) No


Explanation: Substitute the values of X and Y from the given points into the equation. I’ll use a) as an example:
Given point: (1,-3)
Equation: 4x-2y=10
Value of X: 1
Value of Y: -3
Substitute X and Y: 4(1)-2(-3)=10
4-(-6)=10
4+6=10 ✔︎

Therefore, the given ordered pair is a proper solution to the equation 4x-2y=10.

*You can use the same method for question b).*
3 0
3 years ago
Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand
viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.          

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

H_{0}: \mu = 20\\H_A: \mu < 20

We use One-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0
3 years ago
In details<br> Don't spam
Scrat [10]

Answer:

a = -4.

Step-by-step explanation:

25(√5)^a * (√5) ^3  = 5√5

25*5^a/2 * 5^3/2 = 5*5^1/2

25*5^a/2  = 5*5^1/2 / 5^3/2

25*5^a/2  = 5^1 *5^1/2 / 5^3/2

25*5^a/2 = 5^3/2 / 5^3/2 = 1

5^a/2 =  1/25 = 5^-2

The bases are equal, so

a/2 = -2

a = -4.

7 0
3 years ago
Read 2 more answers
The total cost of a pair of jeans and three shirts is $114. The shirts each cost the same amount, and the jeans are $45. What is
Sloan [31]

The price per shirt is $23.

5 0
4 years ago
Read 2 more answers
What is the domain of the function f(x)=45/(x-23)?
galben [10]
Domain is the set of numbers you can use
usually, domain=all real numbers except those that divide by zero

so find those exceptions
find what numbers make deonenator equal to 0 and exclude them
x-23 is denom
x-23=0
x=23

doman is all real numbers except 23
5 0
4 years ago
Read 2 more answers
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