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Schach [20]
2 years ago
6

A model giving the area A, in square meters, of a path is A = x^2 - 18x +80. Which equivalent expression shows the length and th

e width of the path?
A. A= (x-15)(x-3)
B. A = (x-10)(x-8)
C. A= (x-16)(x-5)
D. A = (x-20)(x-4)
Mathematics
1 answer:
levacccp [35]2 years ago
4 0

Answer:

B

Step-by-step explanation:

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i will give 1534!!!!A CFL factory uses 24325.208 L of water in 4 hours. How much water does the factory use in 3 hours?
Alla [95]

Answer:

18243.906

Step-by-step explanation:

24325.208 / 4= 6081.302

meaning 1 hour is 6081.302

so 3 hours is 6081.302*3= 18243.906

8 0
2 years ago
Geometry The length of a rectangle is repfesented by 4a + 3b, and its width is represented by 3a 2b. Write a polynomial for the
Finger [1]
the correct question is
<span>The length of a rectangle is represented by 4a + 3b, and its width is represented by 3a-2b. Write a polynomial for the perimeter of the rectangle. What is the minimum perimeter of the rectangle if a=12 and b is a non-zero </span>whole number?

we know that
Perimeter of a rectangle=2*[length + width]
length=(4a+3b)
width=3a-2b
so
P=2*[(4a+3b)+(3a-2b)]-----> P=2*[7a+b]-----> P=14a+2b

the answer part a) is
A polynomial for the perimeter of the rectangle is P=14a+2b

Part b) 
for a=12
P=14*12+2b---------> P=168+2b
<span>the minimum perimeter of the rectangle is for b=1
</span>so
P=168+2*1-----> P=170 units

the answer part b) is 
the minimum perimeter of the rectangle is 170 units


6 0
3 years ago
In order to rescue Sela's cat, her mother propped a 19 foot long ladder against a tree at a 42° angle with the ground. How
alekssr [168]

Answer:

12.7 feet

Step-by-step explanation:

To solve this question, we use the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse

θ = 42°

Hypotenuse = 19 foot ladder

Opposite side = Distance of the cat from the ground(height of the tree)= unknown

sin 42° = Opposite/19 feet

Opposite = sin 42° × 19

Opposite = 12.713481521 feet

Approximately to the nearest tenth of a foot = 12.7 feet.

Therefore, the cat was 12.7 feet above the ground.

5 0
3 years ago
2. A particular resource class must perform at a level consistent with the rest of the school to avoid being discontinued. On th
Natali5045456 [20]

Answer:

t=\frac{71.86-78}{\frac{17.52}{\sqrt{14}}}=-1.311  

p_v =P(t_{13}  

If we compare the p value and a significance level assumed for example \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the actual true mean for the scores is NOT significant less than 78.  

Step-by-step explanation:

Data given and notation  

\bar X=71.86 represent the sample mean  

s=17.52 represent the standard deviation for the sample  

n=14 sample size  

\mu_o =78 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to determine if the mean is less than 78, the system of hypothesis would be:  

Null hypothesis:\mu \geq 78  

Alternative hypothesis:\mu < 78  

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{71.86-78}{\frac{17.52}{\sqrt{14}}}=-1.311  

Calculate the P-value  

First we need to find the degrees of freedom given by:

df=n-1=14-1=13

Since is a one-side left tailed test the p value would be:  

p_v =P(t_{13}  

Conclusion  

If we compare the p value and a significance level assumed for example \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the actual true mean for the scores is NOT significant less than 78.  

3 0
3 years ago
A flooring company needs to purchase carpet to cover the hallway in a home completely.
maks197457 [2]

Answer:

ok hold on

Step-by-step explanation:

3 0
3 years ago
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