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lorasvet [3.4K]

3 years ago

13

A construction worker measures the amount of cement in a cement truck every 5 minutes as it empties. The table shows the data Wh

at is the rate of change for the volume of cement in the truck?
the rate of change of the amount of cement is:

1 answer:

Olin [163]3 years ago

7 0

Answer:

35

Step-by-step explanation:

210 - 175 = 35

175 - 140 = 35

140 - 105 = 35

105 - 70 = 35

I hope this helps!

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Does anyone know how to answer this question I'm having a lot of trouble with it?

Helen [10]

Answer:

h = $\frac{2A}{(b+c)}$

Step-by-step explanation:

Formula for the area of a trapezoid is,

Area (A) = $\frac{1}{2}(b+c)h$

Here b and c are the bases and 'h' is the height of the trapezoid.

2A = $2[\frac{1}{2}(b+c)h]$

2A = (b + c)h

$\frac{2A}{(b+c)}=h$

Therefore, formula for the height of the trapezoid will be,

h = $\frac{2A}{(b+c)}$

5 0

3 years ago

⚠️6TH GRADE MATH PLEASE HELP I WILL MARK CROWN⚠️

zaharov [31]

Answer:

0.40d

d - 0.60d

Step-by-step explanation:

d - 0.60

This doesn't work because it wants 60<em><u>%</u></em> 0.60 without the percent is a decimal number, and is not 60% of d.

100% - 60% = 40%

0.40d works because it is multiplying 0.40 and d which is also 40%.

d - 0.60d works because it is multiplying 0.60 and d which is also 60% and then subtract it from d.

0.60d doesn't work because it want the discounted price not the discount.

1 - 0.60d doesn't work because we don't know that d = 1, so it is subtracting the discount from 1 not d.

4 0

3 years ago

3/4(5x - 3) + 8 = 17. <br>

Olin [163]

Answer:

x=3

Step-by-step explanation:

8 0

3 years ago

sineoko [7]

Answer:

Option C. −4≤t≤−3

Step-by-step explanation:

we have

$H(t)=(t+3)^2+5$

This is the equation of a vertical parabola written in vertex form

The parabola open upward (the leading coefficient is positive)

The vertex is a minimum

The vertex is the point (-3,5)

The function is increasing in the interval [-3,∞)

The function is decreasing in the interval (-∞,-3]

The function will have a negative average rate when the function will be decreasing

therefore

the answer is option C

7 0

4 years ago

The lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 h

DaniilM [7]

Answer:

Probability that a battery will last more than 19 hours is 0.0668.

Step-by-step explanation:

We are given that the lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 hours.

<em>Let X = lifetime of a battery in a certain application</em>

So, X ~ N( $\mu=16,\sigma^{2} =2^{2}$ )

The z-score probability distribution for normal distribution is given by;

Z = $\frac{ X -\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean lifetime = 16 hours

$\sigma$ = standard deviation = 2 hours

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, the probability that a battery will last more than 19 hours is given by = P(X > 19 hours)

P(X > 19) = P( $\frac{ X -\mu}{\sigma}$ > $\frac{19-16}{2}$ ) = P(Z > 1.50) = 1 - P(Z $\leq$ 1.50)

= 1 - 0.9332 = 0.0668

<em>Now, in the z table the P(Z </em> $\leq$ <em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.50 in the z table which has an area of 0.9332.</em>

Hence, the probability that a battery will last more than 19 hours is 0.0668.

5 0

4 years ago