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2 years ago

The gradient of A(6,2) B(3,-3)

Mathematics

1 answer:

Anestetic [448]2 years ago

7 0

Answer:

$\sf gradient: \dfrac{5}{3}$

Explanation:

$\sf slope/gradient: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points$

Given points: A(6,2), B(3,-3)

$\rightarrow \sf slope: \dfrac{-3-2}{3-6}$

$\rightarrow \sf slope: \dfrac{-5}{-3}$

$\rightarrow \sf slope: \dfrac{5}{3}$

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A frightened child is restrained by her mother as the child slides down a frictionless playground slide. If the force on the chi

MissTica

Answer:

Step-by-step explanation:

Given

Restrained Force $F=116 N$

Increase in Kinetic Energy $\Delta K.E.=30 J$

Distance moved d=1.9 m

Work done by all the forces is equal to change in Kinetic Energy of Object i.e. by gravity force, Normal force and Applied Force

$\Delta K.E.=W_g+W_f+W_N$

$30=W_g-F\cdot d$

$30=W_g-116\cdot 1.9$

$W_g=250.4 J$

(b)In absence of applied force thus

work done by gravity will be equal to change in kinetic Energy

change in Kinetic Energy $=210 J$

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4 years ago

A rectangular prism is completely packed with 200 cubes of edge length fraction 1/5 inch, without any gap or overlap. Which of t

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Answer: why did the chicken cross the road

Step-by-step explanation: to get to the other side lol

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4 years ago

An engineer travels daily from home tothelaboratory each morning with an average commutetime of 24.6 minutes with a standard dev

charle [14.2K]

Answer:

1.74% probability that the commute takes more than 32 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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 problem, we have that:

$\mu = 24.6, \sigma = 3.5$

a.What is the probability that the commute takes more than 32 minutes?

This is 1 subtracted by the pvalue of Z when X = 32. So:

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

$Z = \frac{32 - 24.6}{3.5}$

$Z = 2.11$

$Z = 2.11$ has a pvalue of 0.9826.

So there is a 1-0.9826 = 0.0174 = 1.74% probability that the commute takes more than 32 minutes.

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3 years ago

Write and evaluate the expression. Then, select the correct answer.

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Answer: 45+n; when n=1.1, the value is 46.1 is the answer

Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

N. -2x - 40 = 8(1 -x)

Irina-Kira [14]

Answer:

x=8

Step-by-step explanation:

−2x−40=8(1−x)

Step 1: Simplify both sides of the equation.

−2x−40=8(1−x)

−2x+−40=(8)(1)+(8)(−x)(Distribute)

−2x+−40=8+−8x

−2x−40=−8x+8

Step 2: Add 8x to both sides.

−2x−40+8x=−8x+8+8x

6x−40=8

Step 3: Add 40 to both sides.

6x−40+40=8+40

6x=48

Step 4: Divide both sides by 6.

$\frac{6x}{6} =\frac{48}{6}$

to get the answer

x=8

4 0

4 years ago