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2 years ago

10

If a 100-lb. cake of ice is placed on a plane of which the inclination to the horizontal is 35, what force will be required to k

eep it from sliding down the plane?

1 answer:

Sliva [168]2 years ago

8 0

F = 100(.5736)
<span>= 57.36 lbs. (rounded off to 2 decimal places) </span>

<span>2) sin60 = .866 </span>
<span>F = 18(.866) </span>
<span>= 15.59 lbs. (rounded off to 2 decimal places)</span>

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Rewrite the following expression using the properties of logarithms. log2z+2log2x+4log9y+12log9x−2log2y

kramer

Use the rules of logarithm:
1. log(x)+log(y)=log(xy)
log(x)-log(y)=log(x/y)
2. k*log(x) = log(x^k)
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2 years ago

∇f = λ∇g gives us the equations 4xy = 4λx, 2x2 = 8λy. The first equation implies that x = Incorrect: Your answer is incorrect. o

Vlad1618 [11]

Answer:

The answer is correct

Step-by-step explanation:

6 0

2 years ago

How many metres of cloth 4.4 m wide will be required to make a conical tent of radius of whose base is 3.5m and whose height is

musickatia [10]

<h2>➢ <u>Answ</u><u>є</u><u>r</u> :</h2>

$\Huge{\boxed{\sf{\red{22.98m}}}}$

<h2>➢ <u>Expl</u><u>α</u><u>n</u><u>α</u><u>tion</u> :</h2>

<h3><u>Givєn</u> :</h3>

Radius of the tent,r = 3.5 m
Height of the tent, h = 8.4 m

<h3><u>To Find</u> :</h3>

length of the cloth required.

<h3><u>Solution</u> :</h3>

According to the question,

Slant height, l = $\displaystyle{\sf{ \sqrt{{r}^2 + {h}^2} = \sqrt{{3.5}^2 + {8.5}^2}}}$

$\implies$ $\displaystyle{\sf{ = 9.192m}}$

curved surface area = $\displaystyle{\sf{ \pi rl}}$

$\implies$ $\displaystyle{\sf{ \frac{22}{7} \times 3.5 \times 9.192{m}^2}}$

$\implies$ $\displaystyle{\sf{ 101.112}}$

i.e., Area of the cloth is 101.11m²

Now, length of the cloth required = $\displaystyle{\sf{ \frac{area}{width}}}$

$\implies$ $\displaystyle{\sf{ \frac{101.11}{4.4}}}$

$\implies$ $\large{\boxed{\sf{\red{22.98m}}}}$

7 0

2 years ago

Credit card holders carry an average debt of $3,027 per month, with a standard deviation of $1,060. A credit card company is loo

Alex

Answer:

To be dropped, the client must have debts of $949.40 or lower.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu = 3027, \sigma = 1060$

Bottom 2.5%

The 2.5th percentile and lower.

The 2.5th percentile is X when Z has a pvalue of 0.025. So X when Z = -1.96. Then

$Z = \frac{X - \mu}{\sigma}$

$-1.96 = \frac{X - 3027}{1060}$

$X - 3027 = -1.96*1060$

$X = 949.4$

To be dropped, the client must have debts of $949.40 or lower.

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2 years ago

Linda Gramham's Cinnamon Sugar Graham Cupcake recipe for 36 cupcakes requires 1 1/4 cups of sugar. How much sugar is required fo

Anon25 [30]

Answer:

31.25 or 31 1/4 cups

Step-by-step explanation:

1 1/4 = 36

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=> 5/4 = 36

x = 900

Cross multiply

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=> 4500/4 = 36x

=> 1125 = 36x

=> 1125 / 36 = 36x / 36

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So, 31.25 or 31 1/4 cups are required for 900 cupcakes.

5 0

2 years ago