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Anarel [89]
2 years ago
7

the speed of a vehicle just before the brakes are applied can be estimated using the formula s= (28.75d)^1/2, where s is the spe

ed (in miles per hour) of the vehicle and d is the length (in feet) of the skid marks the vehicle leaves. How fast was a car traveling if it left skid marks 45 feet long? Round your answer to the nearest hundreth.
Mathematics
1 answer:
babymother [125]2 years ago
7 0

(28.75*45)^(1/2)

\sqrt{1293.75}

= 35.97

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The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the n
ratelena [41]

Answer: The significance of the number 82.75 in the equation = amount charged per acre in the park.

Step-by-step explanation:

Given: The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars.

In linear equation y=mx+c, = rate of change of y with respect to x.

Here Coefficient of a = rate of change of C with respect to a.

i.e.  Coefficient of a =amount charged per acre in the park.

Hence,  The significance of the number 82.75 in the equation = amount charged per acre in the park.

7 0
2 years ago
What is the value of k such that x-5 is a factor of x3 – x2 + kx - 30?
Paraphin [41]

Answer:

k = - 14

Step-by-step explanation:

given that (x - 5) is a factor of the polynomial then x = 5 is a root and

x³ - x² + kx - 30 = 0 for x = 5, that is

5³ - 5² + 5k - 30 = 0

125 - 25 + 5k - 30 = 0

70 + 5k = 0 ( subtract 70 from both sides )

5k = - 70 ( divide both sides by 5 )

k = - 14


5 0
2 years ago
I need help with this quick
ziro4ka [17]

The best answer for this question is A.

Best of luck.

8 0
2 years ago
2 At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three
forsale [732]

Let D be dogs and C be cats

<em>dogs, d, is initially five less than twice the number of cats, c</em>

D + 5 = 2C

<em>If she decides to add three more of each, the ratio  of cats to dogs will be</em>

D + 8 = 2C + 3

<em>Could Bea's Pet Shop initially have 15 cats and 20 dogs?</em>

Simply plug in the numbers

20 + 5 = 2(15)

This is clearly not true: 25 does not equal 30

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7 0
2 years ago
A large restaurant is being sued for age discrimination because 15% of newly hired candidates are between the ages of 30 years a
Fudgin [204]

Answer:

See explanation below.

Step-by-step explanation:

Let's take P as the proportion of new candidates between 30 years and 50 years

A) The null and alternative hypotheses:

H0 : p = 0.5

H1: p < 0.5

b) Type I error, is an error whereby the null hypothesis, H0 is rejected although it is true. Here, the type I error will be to conclude that there was age discrimination in the hiring process, whereas it was fair and random.

ie, H0: p = 0.5, then H0 is rejected.

7 0
2 years ago
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