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hoa [83]
3 years ago
15

Find the equation of the linear function represented by the table below in slope-

Mathematics
2 answers:
Ray Of Light [21]3 years ago
6 0
Y= x+4 is the answer
butalik [34]3 years ago
6 0

Answer:

y= x+4

Step-by-step explanation:

you find the common change on each side

then do y/x to find the slope (which in this case is 1) Therefore to find the y- intercept *which should be (0,#)*. Since you have the point (-4,0) and the slope is 1, you would just have to add 4 on both sides giving you the point (0,4).

And your equation would be: y=x+4

in this equation x= that it has a slope of one & the "+4" is the (0,4) which is the y-intercept

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A and B are similar solid cylinders base area of A : base area of B = 9 : 25
fomenos

Answer:

Two figures are similar if the figures have the same shape but different sizes.

Then if we have two figures X and X'

Such that one dimension of X is D, the correspondent dimension on X' will be:

D' = k*D

Such that k is the scale factor that relates the figures.

1:k

Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:

S' = k^2*S

then the ratio of the surfaces is:

1:k^2

While the relation between the volumes will be:

V' = k^3*V

Here the ratio is:

1:k^3

Ok, in this case we have two cylinders

We know that the ratio between the base area ( a surface) is:

9:25

a) We want to find the ratio: curved surface area of A : curved surface area of B

Because again we have a surface area, the ratio should be exactly the same as before, 9:25

b) height of A : height of B

In this case, we have a single dimension.

Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:

9:25

is related to k^2

Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:

√9:√25

3:5

This is the ratio of the heights.

Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.

(3/3):(5/3)

1:(5/3)

Then:

k = 5/3

7 0
3 years ago
What is the expression 0.5+0.74
mr Goodwill [35]

Answer: 1.29

Step-by-step explanation: 0.5 is the equivalent to 0.50. Adding this to .74 gives us the sum of 1.29

8 0
4 years ago
What is an equation of the line that passes through the points (0,-2) and (-5,4)
faust18 [17]

Answer: y = -6/5x - 2

Step-by-step explanation:

Slope = Change in y/Change in x

Our y intercept is -2 because of our point (0,-2)

5 0
3 years ago
2. The Welcher Adult Intelligence Test Scale is composed of a number of subtests. On one subtest, the raw scores have a mean of
IgorC [24]

Answer:

a) 37.31 b) 42.70 c) 0.57 d) 0.09

Step-by-step explaanation:

We are regarding a normal distribution with a mean of 35 and a standard deviation of 6, i.e., \mu = 35 and \sigma = 6. We know that the probability density function for a normal distribution with a mean of \mu and a standard deviation of \sigma is given by

f(x) = \frac{1}{\sqrt{2\pi}\sigma}\exp[-\frac{(x-\mu)^{2}}{2\sigma^{2}}]

in this case we have

f(x) = \frac{1}{\sqrt{2\pi}6}\exp[-\frac{(x-35)^{2}}{2(6^{2})}]

Let X be the random variable that represents a row score, we find the values we are seeking in the following way

a)  we are looking for a number x_{0} such that

P(X\leq x_{0}) = \int\limits^{x_{0}}_{-\infty} {f(x)} \, dx = 0.65, this number is x_{0}=37.31

you can find this answer using the R statistical programming languange and the instruction qnorm(0.65, mean = 35, sd = 6)

b) we are looking for a number  x_{1} such that

P(X\leq x_{1}) = \int\limits^{x_{1}}_{-\infty} {f(x)} \, dx = 0.9, this number is x_{1}=42.70

you can find this answer using the R statistical programming languange and the instruction qnorm(0.9, mean = 35, sd = 6)

c) we find this probability as

P(28\leq X\leq 38)=\int\limits^{38}_{28} {f(x)} \, dx = 0.57

you can find this answer using the R statistical programming languange and the instruction pnorm(38, mean = 35, sd = 6) -pnorm(28, mean = 35, sd = 6)

d) we find this probability as

P(41\leq X\leq 44)=\int\limits^{44}_{41} {f(x)} \, dx = 0.09

you can find this answer using the R statistical programming languange and the instruction pnorm(44, mean = 35, sd = 6) -pnorm(41, mean = 35, sd = 6)

6 0
4 years ago
Read 2 more answers
The distance s that an object falls is directly proportional to the square of the time t of the fall. If an object falls 16 feet
Lemur [1.5K]

Answer: if S is the distance, the fact that the distance is proportional to the square of the time means that S(t) = a*t^{2} where a is a constant of proportionality, with units of \frac{feet}{s^{2} }.

We know that S(1) = 16 feet = a*1, then a = 16\frac{feet}{s^{2} }

then S(2) = 16*4 feet = 64.

and if we want to know in how much time te objet will fall 400feet, then S(t₀) = 400 feet = 16*t₀^{2}

so t₀ = \sqrt{400/16} = 5s.

7 0
4 years ago
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