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Ann [662]
3 years ago
8

Which of the equations listed are linear equations? ​ ​Equation I: C=2πr ​Equation II: A=πr2 ​Equation III: V=43πr3

Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0

Answer:

Equation 1

Step-by-step explanation:

You can tell by the power that r is set to. For an equation to be linear, it has to have a power of 1.

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Cine decorated 2 cookies per minute

72÷36= 2
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3 years ago
Subtract.<br>(4x^2 + 8x - 2) - (2x^2 - 4x + 3)<br>Enter your answer, in standard form.​
vovikov84 [41]

Answer:

\large\boxed{(4x^2 + 8x - 2) - (2x^2 - 4x + 3)=2x^2+12x-5}

Step-by-step explanation:

(4x^2 + 8x - 2) - (2x^2 - 4x + 3)\\\\=4x^2 + 8x - 2 -2x^2 -(- 4x)- 3\\\\=4x^2+8x-2-2x^2+4x-3\qquad\text{combine like terms}\\\\=(4x^2-2x^2)+(8x+4x)+(-2-3)\\\\=2x^2+12x-5

5 0
3 years ago
A curve passes through the point ????0, 5???? and has the property that the slope of the curve at every point P is twice the y-c
Angelina_Jolie [31]

Answer:y=2x^2

Step-by-step explanation:

Given Curve passes through \left ( 0,5\right )

Also the slope of the curve at every point p is twice the Y-coordinate of p

Let the coordinate of p be\left ( x,y\right )

Therefore

\frac{\mathrm{d} y}{\mathrm{d} x}=2y

\frac{dy}{y}=2dx

Integrating both sides

\int \frac{dy}{y}=\int 2dx

\ln y=2x+c

Substituting values

\ln 5=c

\ln \frac{y}{5}=2x

y=2x^2

7 0
3 years ago
69 3/10 % converted to a decimal
Solnce55 [7]
I think it might be 69.3
5 0
4 years ago
Read 2 more answers
(1 point) The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with a mean of 12
garik1379 [7]

Answer:

a) Z = -2.7

b) Z = 2.3

c) Kyle's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

d) X = 144.5

Step-by-step explanation:

Problems of normally distributed samples are 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 = 127, \sigma = 10

(a) 100 millimeters z-score =

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

Z = \frac{100 - 127}{10}

Z = -2.7

(b) 150 millimeters z-score =

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

Z = \frac{150 - 127}{10}

Z = 2.3

(c) Kyle's doctor told him that the z-score for his systolic blood pressure is 1.75. Which of the following is the best interpretation of his score?

1.75 standard deviations above the mean systolic blood pressure of males.

The problem does not talk about age.

So the answer is:

Kyle's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

d) Calculate Kyle's blood pressure

This is X when Z = 1.75. So

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

1.75 = \frac{X - 127}{10}

X - 127 = 1.75*10

X = 144.5

7 0
4 years ago
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