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On solving the provided question, we can say that, by addition distance between dog's head and ground will be = 44.5 + 10.16 = 54.66 cm

The other three fundamental operations are subtraction, multiplication, and division. Addition is one of the four basic operations. The sum or total of these combined values is obtained by adding two integers. The process of merging two or more numbers is known as addition in mathematics. Numbers are added together to form addends, and the outcome of this operation, or the final response, is referred to as the sum. This is one of the crucial mathematical operations we employ on a regular basis. You would add numbers in a variety of circumstances. Combining two or more numbers is the foundation of addition. You can learn the fundamentals of addition if you can count.

living horse was 44.5 cm tall

living dog was 10.16 cm tall

distance between dog's head and ground will be = 44.5 + 10.16 = 54.66 cm

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The correct choice is (A): It is possible. Since Cx- v is consistent for every v in R, according to the Invertible Matrix Theorem that makes the 6x6 matrix not invertible. Since it is not invertible, Cx - v does not have a unique solution.

Because there are infinitely many solutions to Cx = v, if the equation Cx- v is consistent for every v in R6, the matrix C has a nontrivial nullspace (the set of all solutions to the homogeneous equation Cx = 0). The Invertible Matrix Theorem states that a matrix is invertible if and only if its nullspace contains the zero vector. As a result, if C's nullspace is nontrivial, C is not invertible.

If C is not invertible, it has no unique inverse, and so Cx- v lacks a unique solution for some v in R6. As a result, for some v, the equation Cx- v may have more than one solution.

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It would  51.35 minutes take a puddle of water to freeze.

What is the initial temperature?

Initial temperature refers to the average interior temperature of the coldest processing container at the start of the thermal processing cycle, as determined after a thorough stir or shake of the filled and sealed container.

The given equation is T = R + (T₀ − R)\(e^{(-kt)}\).

T = temperature of the object after t minutes

T₀ = initial temperature

R = temperature of the surroundings

k = cooling rate (depends on the object and conditions)

The initial temperature is 55°F. The water freezes at 32°F. Thus final temperature is 32°F. The value of k is 0.012.

Now putting T = 32°F, T₀ = 55°F, R = 5°F, k = 0.012 in the given equation:

32 = 5 + (55 − 5)\(e^{(-0.012t)}\)

Subtract 5 from both sides:

27 = 50\(e^{(-0.012t)}\)

Divide both sides by 50:

\(e^{(-0.012t)}\) = 27/50

Taking natural logarithms on both sides:

ln\(e^{(-0.012t)}\) = ln(27/50)

-0.012t = -0.616

t = 51.35

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Answer:

William

Step-by-step explanation:

There are 8 Saturday and Sunday in a month. William travels only on Saturdays and Sundays and has flown 1,020 miles this month. He has travelled (1020/8) miles per day = 127.5 miles/day

There are 30-8 = 22 weekdays in a month. Jason travels every weekday and has flown 2,200 miles this month. It would mean that he travelled (2200/22) = 100 miles/day.

It is very clear that no of miles travelled per day by William is more than the no of miles travelled per day by Jason for this month.

Answer:

x = 9

Step-by-step explanation:

using the rule of indices

\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\) , then

\(5^{x}\) = \(\frac{5^{8} }{5^{-1} }\) = \(5^{(8-(-1))}\) = \(5^{(8+1)}\) = \(5^{9}\)

since bases on both sides are equal, both 5 , then equate indices

x = 9

Answer:

Exact form: -4/3

Decimal form: -1.3

Mixed number form: -1 1/3

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

1/2 ÷ 2/3

1/2 * 3/2

1 * 3/ 2 * 2

3/4

Please mark me the brainliest!?!

Answer:

This ladder will be long enough because the top of the roof is 15ft 9in and that's < 25

Step-by-step explanation:

Answer:

This ladder will be long enough because the top of the roof is 15ft 9in and that's < 25

explanation:

Answer:

32 degrees and 10km Apart

Step-by-step explanation:

110-100=10

62-30=32

Solving problems involving normal proportions requires careful attention to detail, as well as a good understanding of statistical concepts such as standardization and probability.

When solving a problem where you want to find normal proportions, you can follow the following steps:

Define the problem: Clearly define the problem you are trying to solve, including any relevant details such as the population, sample size, and the variable of interest.

Check assumptions: Check if the conditions for using normal distributions are met. The data should be continuous, the sample size should be large enough, and the distribution should be approximately normal.

Calculate the sample mean and standard deviation: If you are working with a sample, calculate the sample mean and standard deviation.

Standardize the data: Convert the data into standard normal distribution, by subtracting the mean from each observation and dividing by the standard deviation.

Determine the probability: Once the data has been standardized, you can use a standard normal distribution table or a calculator to determine the probability of the variable falling within a certain range or above/below a certain value.

Interpret the results: After determining the probability, interpret the results in the context of the problem. For example, you might conclude that there is a 95% chance that a randomly selected observation falls within a certain range, or that the variable of interest is higher than a certain value in 5% of cases.

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To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

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We can add the factor 4 seven times to find the product 4 × 7.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number. a × b means that a is added to itself b times or b is added to itself a times.

So we know that multiplication is basically addition of one of the numbers up to the times as that of the other number.

Given, we have to find the product of 4 × 7, in terms of addition, by using the factor 4.

The meaning of the product of 4 and 7 is that 4 is adding to itself 7 times or 7 is adding to itself 4 times.

Since we need to break the product in terms of 4 as addends, we can write,

4 × 7 = 4 + 4 + 4 + 4 + 4 + 4 +4

Hence we can break 4 as 7 equal addends to find the given product.

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Answer:

3x-14=180

3x=194

x= 64 2/3

4(x-9)=180

4x-36=180

4x=216

x=54

Hope This Helps!!!

Step-by-step explanation:

(3x-14)°=180°

3x-14=180

3x=180+14

3x=194

x=64.6

[4(x-9)]°=180°

4x-36=180

4x=180+36

4x=216

x=54

Answer:

Shirt = $7

Sweatshirt = $12

Step-by-step explanation:

Let T represent shirts and S to represent sweatshirts

you bought 3T + 4S = 69

your friend bought 6T + 2S = 66 multiply second equation by -2

-2 x 6T + 2S = 66

-12T - 4S = -132 now find the sum of this and first equation

3T + 4S -12T - 4S = 69 - 132 add like terms

-9T = -63 divide both sides by -9

T = 7 this is the cost of one shirt to find the cost of a sweatshirt we replace the T in any equation with 7

3T + 4S = 69

3*7 + 4S = 69

21 + 4S = 69 subtract 21 from both sides

4S = 48 divide both sides by 4

S = 12

The difference between the observed value of the dependent variable and the predicted value of the dependent variable is called the residual.

It is something that depends on other elements. For an instance, a take a look score can be a dependent variable because it can alternate relying on numerous factors which include how a lot you studied, how an awful lot sleep you bought the night time before you took the test, or maybe how hungry you have been when you took it.

A dependent variable is a variable whose cost relies upon impartial variable s. The structured variable is what's being measured in an experiment or evaluated in a mathematical equation. The based variable is now and again referred to as "the final results variable." In an easy mathematical equation, for example, a = b/c.

Based and impartial variables are variables in mathematical modeling, statistical modeling, and experimental sciences. Dependent variables receive this call due to the fact, that in a test, their values are studied under the supposition or call for that they depend, by some regulation or rule, on the values of different variables.

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Answer:

-m/b= x

Step-by-step explanation:

We are solving for x so x needs to be on one side alone.

z - m = z+bx

-z        -z

-m= bx

-m/b = bx/b

-m/b= x

Hope this helps!

The center of the face of a cube is the midpoint of the face and lies along the line that runs between the opposite vertices of the face.

This is the point of intersection of the two diagonals in a face. In other words, it is the point that is equidistant from all four corners of the face.

To visualize this, imagine dividing the face into four equal triangles by drawing lines from each corner to the center. The center of the face is at the intersection of these lines.

In three-dimensional space, the center of the face of a cube is also the center of the cube itself, as all faces of a cube are congruent (the same shape and size) and meet at the center of the cube.

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Answer:

\(1.0 \times {10}^{4} \)

This represents 10,000 in scientific notation.

According to the 1991 census, there are about 43406932 people in our country who speak Urdu. Which of the following is the closest approximation of this number?

A 4 lakhs

B 43 lakhs

C 4 crores

D 43 crores

→ C 4 crores

Explaination :

2 - Unit place

3-tens place

9- hundred place

6 - thousand place

0- ten thousand place

4 - lakh place

3 - ten lakh place

4 - crore place

hence , closest approximation of this number is 4 crores.

Approximation of number is 4 crores.

Anything that is similar to something else but not exactly equal to it is an approximation. By rounding, a number can be approximated. By rounding the values contained within a calculation prior to performing the operations, it can be approximated.

Given census of a country is 43406932

Adjusting numbers to the closest 10, 100, 1,000

To rough to the closest ten, check out at the digit during the tens section.

Look at the digit in the hundreds column to approximate to the nearest hundred. Take a look at the digit in the thousands column to determine the nearest thousand.

so the number to the closest is crore

Hence the closest approximation of this number is 4 crores.

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Answer:

97

Step-by-step explanation:

exterior angle property of triangle

64+33 equals 97

in other ways

By Angle sum property of triangle, the measure of 3rd angle is 83 and

angle 1 and 3rd angle are supplementary

so,

180 - 83 = 97

The correct graph of the polynomial is  \(4(x-2)^2-1\)

The given parent function is \(f(x) = x^2\)

This means that the graph would be a parabola

because the highest degree is 2

And the graph of \(4(x-2)^2-1\)

is 2 units to the right and 1 unit vertically down

And vertically stretched by 4 units

we know that the graph of f (x) = x^2 is a parabolic graph and is drawn in the first and the second quadrant

Thus the graph of the this equation is also drawn similarly :

the graph is shown below :

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Answer:

I am 100% sure that the answer is 240.

Step-by-step explanation:

The volume of the prism is 160 m³ and the correct equation is V = 8 × 4 × 5.

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

The length, width and height of the rectangular prism are given as 8m, 4m and 5m respectively.

Since, the volume of the prism is given as the product of its length, width and sides.

For the given prism the volume can be obtained as,

V = 8 × 4 × 5

⇒ V = 160 m³

Hence, the correct equation is given as  V = 8 × 4 × 5.

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Answer:

it will tale 11weeks to pay back his friends and he will have $112left after.

Step-by-step explanation:

88÷8=11.

200- 88 =112

Answer:

Go ahead and color the nose red!

The solution is
\(y = \dfrac{n-9}{x}\)

Step-by-step explanation:

\(\text{We have: }\\\\\)

\(\rightarrow\; \dfrac{x}{y} + 9 = n\\\\\\\text{Subtract 9 from both sides:}\\\\\rightarrow\;\dfrac{x}{y} + 9 - 9 = n - 9\\\\\)

\(\rightarrow\;\dfrac{x}{y} = n - 9\\\\\)

Multiply both sides by y:

\(\rightarrow\; y \cdot \dfrac{x}{y} = y (n-9)\\\\\rightarrow\; x = y(n-9)\\\\\\\)

\(\text{Divide both sides by (n-9)}:\\\\\\\rightarrow\; \dfrac{x}{n-9} = \dfrac{y (n-9)}{n-9}\\\\\\\rightarrow\; \dfrac{x}{n-9} = y\\\\\\\)

By switching sides without changing the meaning, this can be re-written as :

\(y = \dfrac{x}{n-9} \\\\\)

which of course means you can color the nose red

:)

Answer:

$1,489.88 (nearest cent)

Step-by-step explanation:

To calculate gross pay, multiply the number of hours worked by the pay per hour.

Warren worked 36.5 hours one week and 32 hours the week before.

Therefore, the total number of hours Warren worked was:

Multiply the total number of hours worked by Warren's rate of pay of $21.75 per hour:

Therefore, Warren's gross pay for the two weeks was $1,489.88 (nearest cent).

Answer:

$1489.875

Step-by-step explanation:

Warren's gross pay for 36.5 hours last week can be calculated as follows:

Gross pay for 36.5 hours = $21.75/hour * 36.5 hours = $793.875

Similarly, Warren's gross pay for 32 hours the week before can be calculated as follows:

Gross pay for 32 hours = $21.75/hour * 32 hours = $696

Adding the gross pay for the two weeks, we get:

Gross pay for 2 weeks = $793.875 + $696 = $1489.875

The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.

]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.

In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.

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Answer:

1 inch = 54.7

the probability that he drove the small car is 0.890 (option A).

Using Bayes' theorem to solve the problem given, let us represent the following events:

A: Friend drives the small carB: Friend drives the large carC: Friend is on timeGiven that three-quarters of the time he drives the small car and one-quarter of the time he drives the large car, we can calculate the prior probabilities:

P(A) = 3/4 and P(B) = 1/4.

Also, given that he usually has little trouble parking with probability 0.9 when driving the small car and is on time with probability 0.6 when driving the large car, we can calculate the likelihoods:

P(C|A) = 0.9 and P(C|B) = 0.6

Using Bayes' theorem, we can calculate the posterior probability of driving the small car given that he was on time on a particular morning:

P(A|C) = P(C|A) * P(A) / (P(C|A) * P(A) + P(C|B) * P(B))= 0.9 * 3/4 / (0.9 * 3/4 + 0.6 * 1/4) = 0.890

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The measure of angle B is found by subtracting the sum of angles A and C from 180 degrees, which is 70 degrees, as the sum of angles in any triangle is always 180 degrees.

In any triangle, the sum of the angles is always 180 degrees. In the given figure, we are given that angle A has a measure of 30 degrees and angle C has a measure of 80 degrees.

To find the measure of angle B, we can use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, we can write an equation as follows:

Angle A + Angle B + Angle C = 180 degrees

Substituting the given values for angles A and C, we get:

30 degrees + Angle B + 80 degrees = 180 degrees

Combining like terms, we get:

Angle B + 110 degrees = 180 degrees

Subtracting 110 degrees from both sides, we get:

Angle B = 70 degrees

Therefore, angle B has a measure of 70 degrees.

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