Consider xdy = 3ydx.
(a) Apply Theorem 1 and show the equation has unique solution in xy-plane where x 6= 0
(b) Theorem 1 will be inconclusive about existence and uniqueness of solution where x = 0 (that is on y-axis). For points on the y-axis (i) Show there are infinitely many different solutions for xdy = 3ydx y(0) = 0. (ii) Show there is no solution for xdy = 3ydx y(0) = b b != 0.

Answer:

19.99

Step-by-step explanation:

First you would multiply .44 by 16 to get 7.04

then you would add 12.95 to get 19.99

Explanation:

1. a) Null hypothesis: There is no statistically significant relationship between the mouse grimace scale and the amount of pain felt by mouse.

b) Alternate hypothesis: There is a statistically-significant relationship between the mouse grimace scale and the amount of pain felt by mouse.

2. Yes, because a statistically significant data implies that there is sufficient evidence to believe the study, based on the results of the findings.

3. No, since the variables are different in this case. Here we are dealing with a non-painful solution so there may be no sample correlation as extreme as that found in the original study.

4. Possibly, because every hypothesis is an assumption until it is proven. Thus, in every statistical research, there may be different findings.

Answer:

[tex]=210[/tex]

Step-by-step explanation:

[tex]7\times \left(-150\right)\div \left(10-10-5\right)\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(10-10-5\right)\::\quad -5\\10-10-5\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\\10-10=0\\=0-5\\=0-5\\=-5\\=7\times \left(-150\right)\div \left(-5\right)\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:7\times \left(-150\right)\div \left(-5\right)\::\quad 210\\7\times \left(-150\right)\div \left(-5\right)[/tex]

[tex]\mathrm{Apply\:rule\:}-a\div \left(-b\right)\:=\:a\div \:b\\-1050\div \left(-5\right)=1050\div \:5=210\\=210[/tex]

Answer:

210

Step-by-step explanation:

7×{(-150)÷(10-10-5)}

remove the opposites

7×{(-150)÷(-5)}

divide

7×30

multiply

210

Answer:

Red balls 2/14

Green balls 1/14

Step-by-step explanation:

I hope that helped.

Answer:

B. The graph cross the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10

Step-by-step explanation:

→Looking at the line as it increases, you can see that it intersects at the point of (0, 5) on the y-axis.

→The line on the graph is increasing from the point where x = -10, and stops at x = 2.

→The line then stays constant (basically meaning it doesn't increase/decrease, making it a horizontal line), strting from x = 2, to x = 10.

Looking at the points above, you can determine that the correct answer is "B. The graph cross the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10."

Answer:

=2v−20

Step-by-step explanation:

Let's simplify step-by-step.

v−2+v−18

=v+−2+v+−18

Combine Like Terms:

=v+−2+v+−18

=(v+v)+(−2+−18)

=2v+−20

Answer:

=2v−20

Answer:

[tex]10\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]7\frac{3}{5} + x = 18\\[/tex]

transformation : [tex]7\frac{3}{5} = \frac{(5*7) + 3}{5} = \frac{38}{5}[/tex]

[tex]\frac{38}{5} + x = 18\\\\x = 18 - \frac{38}{5} = \frac{(5*18) - 38}{5} = \frac{52}{5}[/tex]

[tex]\frac{52}{5} = 10\frac{2}{5}[/tex]

Answer:

[tex]10\frac{2}{5}[/tex]

Step-by-step explanation:

What should be add to [tex]7\frac{3}{5}[/tex]  to get [tex]18[/tex] ?

[tex]18-7\frac{3}{5}=\\ \\=17\frac{5}{5}-7\frac{3}{5}\\\\\\=(17-7)+(\frac{5}{5}- \frac{3}{5})\\ \\=10+\frac{2}{5}\\ \\=10\frac{2}{5}[/tex]

Answer:

  C. F(x) = | x |

Step-by-step explanation:

The parent function has no adornments, shifts, multipliers, offsets, reflections, or anything else.

The absolute value of x is written |x|. That is the parent absolute value function.

  F(x) = |x|

Answer: C

Step-by-step explanation:

Answer: B. -2x^4y^3

Step-by-step explanation:

Multiply the variables by each other.

-2x^3 * x = -2x^4

y * y^2 = y^3

Answer:

B) -2x4y3

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

1 quart=4 cups so 4x2=8

Answer:

x=5/4

Step-by-step explanation:

First, plug in 1 for y. Since a common denominator for the right side is 3, multiply both sides by 3 to get 3=x+11/5. Then multiply both sides by 5 to get 15=5x+11. Subtract 11 on both sides to get 4=5x. Finally divide by 5 to get x by itself and get x = 5/4.

Answer:

all I see is a black image

Answer:

p=8in+8in+12in+7in

=35 in

Answer:

35

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

A matched pairs t-test is appropriate for this experiment. It compares two means that are from the same individual; the before drug administration and the after drug administration. It compares the before-and-after observations on the same subjects.

The best and convincing statistical evidence of a change, on average, in blood pressure is the t test.

The test is one of the kinds of inferential statistics. It is deployed in decision making. As such, it involves the test to see if there is significant difference between the means of two groups, which may be related.

Hence, in this study, the best and convincing statistical evidence of a change, on average, in blood pressure is the t test.

Learn more about t test:https://brainly.com/question/15870238

#SPJ5

Step-by-step explanation:

[tex]5(2x - 4) = 2(4x + 2) \\ 10x - 20 = 8x + 4 \\ 2x = 24 \\ x = 12[/tex]

Answer:

The easiest way to factor it is to use grouping.

Step-by-step explanation:

you look at only two terms at a time to see if any techniques become apparent.

The grouping factoring method should be used to factor a polynomial with four terms.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The simplest method to factor a polynomial with four or more parts is to use grouping. With this approach, you evaluate just two terms at once to determine whether any methods stand out.

Therefore, the grouping factoring method should be used to factor a polynomial with four terms.

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ6

Answer:

[tex]1^x[/tex] is always 1, so [tex]1^x-1^x=0[/tex]

es0

dame grasias

si soi nuevo

Answer: C,D are true

Step-by-step explanation:

Answer:

Step-by-step explanation:

C and D are both true the rest are false

the answer is in the photos

Answer:

The centroid is 1/3 of the vertical distance between QV

QV = 3 x VT = 3 x 5 = 15

QT = 15-5 = 10

Answer:

(a)y=-10x

(b)x=0.9

Step-by-step explanation:

If y varies directly with x, we write:

[tex]y \propto x\\y=kx$ where k is the constant of proportionality.\\If $x = -19, y = 190\\190=-19k\\$Divide both sides by -19\\k=190 \div -19\\k=-10\\[/tex]

Therefore, a direct variation equation relating y to x is:

(a)y=-10x

(b)When y=-9

Substituting y=-9 into the equation obtained in (a) above

[tex]-9=-10x\\$Divide both sides by -10$\\x=-9\div -10\\x=0.9\\$Therefore, when $ y=-9, x=0.9[/tex]

Answer:

14739

Step-by-step explanation:

1/2mv^2

1/2*105*17*17

=14739

Answer:

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

[tex]a-a =0[/tex]

Or in the other case:

[tex]-a -(-a) =-a +a=0[/tex]

So then we can conclude that the expression is a general rule and is true

Step-by-step explanation:

For this case we can verify if the following expression is true or false:

The sum of x and it’s opposite is always zero?

If we want to proof this we need to show that for any number is true.

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

[tex]a-a =0[/tex]

Or in the other case:

[tex]-a -(-a) =-a +a=0[/tex]

So then we can conclude that the expression is a general rule and is true

Answer:

Step-by-step explanation:

Just integrate r(t) with respect to t  

Integrate r(t) dt = 400t -(4t^2)/2 + C

                      = 400t -4t^2 + C

where C is a constant

then replace the above answer with 30 and 0, then do subtraction for both answers

hence the amount of water flows during first 30 mins is

=   {400*30 - 4*(30)^2 + C} - {400*0 - 4*(0)^2 + C}

=  12000 - 3600

=   8400 liters

The amount of water that flows from the tank during the first 30 minutes is 8,400Liters.

Based on the information definite integral will be use to find the amount of water.

Using this formula

[tex]\int_{a}^{b} r(t) dt\\\\\\Where:\\r(t)=400-8t\\\\\\ \int_{a}^{b} r(t) dt\ = \int_{0}^{30} (400-8t) dt\\\\\\\\ \int_{a}^{b} r(t) dt\ = (400t-8t^2/2)_{0}^{30}\\\\\\\\ = (400t-4t^2)_{0}^{30}\\\\\\\\=(400\times30)-4(30)^2\\\\\\=12,000-4(900)\\\\\\=12,000-3,600\\\\\\=8,400\ liters\\[/tex]

Inconclusion the amount of water that flows from the tank during the first 30 minutes is 8,400Liters.

Learn more here:

https://brainly.com/question/13901441

Answer:

22.05

Step-by-step explanation:

Answer:

(a) [tex]A_1[/tex] and [tex]A_2[/tex] are indeed mutually-exclusive.

(b) [tex]\displaystyle P(A_1\; \cap \; B) = \frac{1}{20}[/tex], whereas [tex]\displaystyle P(A_2\; \cap \; B) = \frac{1}{25}[/tex].

(c) [tex]\displaystyle P(B) = \frac{9}{100}[/tex].

(d) [tex]\displaystyle P(A_1 \; |\; B) \approx \frac{5}{9}[/tex], whereas [tex]P(A_1 \; |\; B) = \displaystyle \frac{4}{9}[/tex]

Step-by-step explanation:

[tex]P(A_1 \; \cap \; A_2) = 0[/tex] means that it is impossible for events [tex]A_1[/tex] and [tex]A_2[/tex] to happen at the same time. Therefore, event [tex]A_1[/tex] and [tex]A_2[/tex] are mutually-exclusive.

By the definition of conditional probability:

[tex]\displaystyle P(B \; | \; A_1) = \frac{P(B \; \cap \; A_1)}{P(B)} = \frac{P(A_1 \; \cap \; B)}{P(B)}[/tex].

Rearrange to obtain:

[tex]\displaystyle P(A_1 \; \cap \; B) = P(B \; |\; A_1) \cdot P(A_1) = 0.25 \times 0.20 = \frac{1}{20}[/tex].

Similarly:

[tex]\displaystyle P(A_2 \; \cap \; B) = P(B \; |\; A_2) \cdot P(A_2) = 0.80 \times 0.05 = \frac{1}{25}[/tex].

Note that:

[tex]\begin{aligned}P(A_1 \; \cup \; A_2) &= P(A_1) + P(A_2) - P(A_1 \; \cap \; A_2) = 0.20 + 0.80 = 1\end{aligned}[/tex].

In other words, [tex]A_1[/tex] and [tex]A_2[/tex] are collectively-exhaustive. Since [tex]A_1[/tex] and [tex]A_2[/tex] are collectively-exhaustive and mutually-exclusive at the same time:

[tex]\displaystyle P(B) = P(B \; \cap \; A_1) + P(B \; \cap \; A_2) = \frac{1}{20} + \frac{1}{25} = \frac{9}{100}[/tex].

By Bayes' Theorem:

[tex]\begin{aligned} P(A_1 \; |\; B) &= \frac{P(B \; | \; A_1) \cdot P(A_1)}{P(B)} \\ &= \frac{0.25 \times 0.20}{9/100} = \frac{0.05 \times 100}{9} = \frac{5}{9}\end{aligned}[/tex].

Similarly:

[tex]\begin{aligned} P(A_2 \; |\; B) &= \frac{P(B \; | \; A_2) \cdot P(A_2)}{P(B)} \\ &= \frac{0.05 \times 0.80}{9/100} = \frac{0.04 \times 100}{9} = \frac{4}{9}\end{aligned}[/tex].

Using probability concepts, along with conditional probability and Bayes Theorem, it is found that:

a) [tex]P(A1 \cap A2) = 0[/tex], thus yes, A1 and A2 are mutually exclusive.

b) The probabilities are: P(A1 ∩ B) = 0.05, P(A2 ∩ B) = 0.04.

c) The probability of event B is: P(B) = 0.09.

d) The probabilities are: P(A1|B) = 0.5555 and P(A2|B) = 0.4445.

-----------

Conditional Probability  

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]  

-----------

Bayes Theorem:  

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

-----------

Item a:

Item b:

Using conditional probability.

A1 and B:

[tex]P(B|A1) = \frac{P(A1 \cap B)}{P(A1)}[/tex]

[tex]0.25 = \frac{P(A1 \cap B)}{0.2}[/tex]

[tex]P(A1 \cap B) = 0.25(0.2) = 0.05[/tex]

A2 and B:

[tex]P(B|A2) = \frac{P(A2 \cap B)}{P(A2)}[/tex]

[tex]0.05 = \frac{P(A1 \cap B)}{0.8}[/tex]

[tex]P(A1 \cap B) = 0.8(0.05) = 0.04[/tex]

Item c:

P(B) is given by:

[tex]P(B) = P(A1 \cap B) + P(A2 \cap B) = 0.05 + 0.04 = 0.09[/tex]

Item d:

Applying Bayes Theorem

[tex]P(A1|B) = \frac{P(A1)P(B|A1)}{P(B)} = \frac{0.25(0.2)}{0.09} = 0.5555[/tex]

[tex]P(A2|B) = \frac{P(A2)P(B|A2)}{P(B)} = \frac{0.8(0.05)}{9} = 0.4445[/tex]

A similar problem is given at https://brainly.com/question/22428992

Answer:

Step-by-step explanation:

From the information given, their last meter reading was 123,692 and their present reading is 127,394. The difference between the last and the present meter reading is

127394 - 123692 = 3702

If the water meter measures its water usage in terms of 1 point in CCF, then the amount of CCF of water used is 3702. If the school is charged $0.36 per CCF of water, then for this usage, the charge would be

3702 × 0.36 = $1332.72

Therefore, it is false

Answer:

28 are large or blue.

Step-by-step explanation:

In this case they ask us how many are big or blue, that is, either of the two characteristics are valid, they tell us the following things in the statement:

17 large and blue, that is, 17 comply with what they ask us, since they are blue or large.

3 small and blue, that is 3 since they are blue, and we must take them into account.

8 large and red, you have to add 8 more because there are 8 large ones here.

12 small and red, none of them meet the requested characteristics, that is, they are in total:

17 + 3 + 8 = 28

28 are large or blue.