The combined mass of a dog and a cat is 24kg. The dog is three times as heavy as the cat. Find the mass

9514 1404 393

Answer:

  yes, the lines are perpendicular

Step-by-step explanation:

A graph of the line through the points (8, -4) and (3, 6) shows it has a slope of -2. That is the opposite reciprocal of the slope of 1/2 that the given line has.

When two lines have opposite reciprocal slopes, they are perpendicular.

The lines are perpendicular.

__

If you like you can compute the slope using the slope equation:

  m = (y2 -y1)/(x2 -x1)

  m = (6 -(-4))/(3 -8) = 10/-5 = -2

Answer:

23,381/160 or 146 21/160

Step-by-step explanation:

56 3/4 = 227/4

1 3/8 = 11/8

1 1/5 = 6/5

227/4( 11/8 + 6/5)

227/4(55/40 + 48/40)

227/4( 103/40) = 23,381/160 or 146 21/160

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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Answer:

B

Step-by-step explanation:

If x and y vary inversely, then as x increases, y decreases. That eliminates answers A, C, and D.

Answer: B

Answer:

31/40 Hope this helps!

Step-by-step explanation:

Answer:

The answer for this question is 31/40

The average rate of change of the function is -35/16.

We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ 8.

so

at x₁ = -8, f(x₁) = f(-8) = 30

at x₂ = 8, f(x₂) = f(8) = -5

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                     = [f(8) - f(-8) ] / [8-(-8)]

                     = [-5 - (30)] / [16]

                     = [-35] / 16

Therefore, the average rate of change of the function is -35/16.

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Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

There are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

The system of equations is:

y = 3x - 3

y = -x^2

To determine which point from a specified set satisfies the system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

Substituting y = 3x - 3 into the second equation, we get:

3x - 3 = -x^2

Rearranging this equation, we get:

x^2 + 3x - 3 = 0

Using the quadratic formula, we can solve for x:

x = (-3 ± sqrt(3^2 - 41(-3))) / (2*1) = (-3 ± sqrt(21)) / 2

Therefore, there are two possible values of x that satisfy the system of equations:

x = (-3 + sqrt(21)) / 2 ≈ 0.79

x = (-3 - sqrt(21)) / 2 ≈ -3.79

To find the corresponding values of y, we can substitute these values of x into either equation. For example, if we use y = 3x - 3, we get:

y ≈ 0.37 (when x ≈ 0.79)

y ≈ -12.37 (when x ≈ -3.79)

Therefore, there are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

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Considering that we have two samples, and the standard deviation for each sample, the correct test is given by:

iii. A two-sample -interval for a difference between population means.

Here, there are two samples, and we will investigate their difference. The information taken from the sample is expanded to the population, and since we have the standard deviation for each sample, a t-test is used, hence the correct option is given by:

iii. A two-sample -interval for a difference between population means.

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Answer:

108

Step-by-step explanation:

Answer:

119 months

OkIe DoKiE

The formula for the nth partial sum of the series n(n-1) is Sn = n(n+1)(2n-1)/6 and the series diverges.

Part 1: The formula for the nth partial sum, Sn, for the series n(n-1), can be found by using the formula for the sum of the first n natural numbers, which is given by Sn = n(n+1)/2. To find the sum of n(n-1), we can rewrite it as n^2 - n and use the formula for the sum of the first n squares, which is given by n(n+1)(2n+1)/6. Therefore, the formula for Sn is Sn = n(n+1)(2n-1)/6.

Part 2: To determine whether the given series converges or diverges, we need to evaluate the limit of Sn as n approaches infinity. Taking the limit of the formula for Sn, we get lim Sn = lim [n(n+1)(2n-1)/6] = lim (2n^3/6) = lim (n^3/3) = inf. Since the limit of Sn is infinity, the series diverges.

In conclusion, the formula for the nth partial sum of the series n(n-1) is Sn = n(n+1)(2n-1)/6 and the series diverges as the limit of Sn approaches infinity. This means that the sum of the series does not converge to a finite value and grows without bound as n increases.

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Given:

solving for a:

ANSWER

a = (y - g)/x

Answer: The distance or d = 6.324555

For:

(X1, Y1) = (-1, -3)

(X2, Y2) = (1, 3)

Step-by-step explanation:

Distance Equation Solution:  This picture of the work out problem will show you how you would work it out.  

a0 is the regression term that describes the constant or intercept in the linear regression equation.

In a simple linear regression model, the equation takes the form of y = a0 + a1x + e1, where y is the dependent variable (or response variable), x is the independent variable (or predictor variable), a0 is the intercept or constant term, a1 is the coefficient of the independent variable, and e1 is the error term.

The intercept term, a0, represents the value of the dependent variable when the independent variable is zero. For example, in a linear regression model that predicts salary based on years of experience, the intercept would represent the starting salary for someone with zero years of experience. The intercept is an important component of the regression equation because it allows us to make predictions for values of x that are outside the range of our observed data.

The coefficient, a1, represents the change in the dependent variable for each one-unit increase in the independent variable. In the salary example, the coefficient would represent the average increase in salary for each additional year of experience.

Both the intercept and coefficient are estimated from the data using methods such as least squares regression. Once these values are estimated, we can use them to make predictions for new values of x.

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Answer:

Tr2

Step-by-step explanation:

pie * radius * radius

Answer:

Step-by-step explanation:

The circumference of a circle is given to be 2πr, and its radius to be r.

Answer: Yes this is a sentence fragment.

Step-by-step explanation:

The statement "Grab another log the fire is dying down." lacks a distinct subject or verb. It might qualify as a sentence fragment since there is no coordinating conjunction or punctuation to link it to the preceding clause.

Answer:

62

Step-by-step explanation:

6*13-4^2

6*13-16

78-16

62

Answer:

I hope it's helps you

have a nice day

Answer:

x = 5

Step-by-step explanation:

x/8 + x/10 = 9/8

=> 10x/80 + 8x/80 = 9/8

=> 18x/80 = 9/8

=> 18x = 9/8 (80)

=> 18x = 90

=> x = 90/18

=> x = 5

\(v + 8 < 3\)

Subtract sides -8

\(v + 8 - 8 < 3 - 8\)

\(v < - 5\)

_________________________________

\(8v < - 40\)

Divided sides by 8

\( \frac{8}{8}v < \frac{ - 40}{8} \\ \)

\(v < - 5\)

_________________________________

Done.... ♥️♥️♥️♥️♥️

The solution of the given inequality v +8 <3 or 8v <-40 is v < -5.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal.

Given the inequality,

v +8 < 3

Adding -8 on both sides

v + 8 - 8 < 3 - 8

v < -5

Or,

8v <-40

Divide 8 on both side

v < -5

Hence "The solution of the given inequality v +8 <3 or 8v <-40 is v < -5".

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In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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The amount of soil needed to fill the garden box is given as follows:

1728 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

V = 19 x 12 x 6 + 10 x 3 x 12

V = 1728 ft³.

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So,

Let me graph the three points here below:

To classify this triangle by its sides, the first thing we need to do is to find the measure of each segment. For this, we could use the formula for the distance between two points for each one.

Let's start with segment WX.

Now, continue with XY:

And finally, WY:

As you can see, sides WY and WX are equal. So, the triangle has two equal sides and one different.

For this reason, the triangle is an isosceles triangle.

Answer:

9(4x+3)     :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first step in factorising is to look for any common factors.

27

and

36

are both multiples of

3

and

9

.

We use

9

because it is the highest common factor:

Divide

9

out of each term:

27+36x=9(3+4x)

The reverse process would be to use the distributive law to multiply each term in the bracket by

9

.

This will give us the original expression:

9(3+4x)=27+36x

The correct answer is d. At most 19.  indicates the area to the left of 19.5 before a continuity correction is​ used

When a continuity correction is used, it means that we are approximating a discrete probability distribution with a continuous one. In this context, the continuity correction is typically applied when approximating a discrete random variable with a continuous normal distribution.

In this case, we are looking for the area to the left of 19.5 before applying the continuity correction. The continuity correction adjusts for the discrepancy between the continuous approximation and the discrete values. Since the continuity correction involves adjusting the boundaries, we consider the area up to but not including the value 19.5.

Therefore, the statement "At most 19" indicates that we are considering the area up to and including the value 19, without including 19.5, before the continuity correction is applied.

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Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given terms

STEP 2: Find the amount of the lumber bought

STEP 3: Find the amount of tax added

STEP 4: Find the total amount paid by michael

To get this, we add the tax to the amount initially paid

Hence, the amount paid by Michael is $9.63