PLEASE HELP ME WITH THIS QUESTION what is -48-(-12)

Let \($\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$\) be the nonzero rows of \($R$\) starting from the 1st row to the \(k\)th row.

Step 1: We want to show that

R(R)= span \($\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$\)

For any vector \(v $$\in \mathcal{R}(R)$$\), We may write

v= \($$c_{1} \boldsymbol{r}_{1}+c_{2} \boldsymbol{r}_{2}+\cdots+c_{k} \boldsymbol{r}_{k}+c_{k+1} \mathbf{0}+\cdots+c_{m} \mathbf{0}$$\)

Then v= \($$c_{1} r_{1}+c_{2} r_{2}+\cdots+c_{k} r_{k}$$\)

So \(v\) belongs to span{ \($\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$\)}

Thus R(R)\(\leq\) Span \($\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$\)

But trivially,

span \($\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$\)≤ span{\($\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$\), 0, . . . , 0} = R(R),

span \($\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$\)=R(R)

Step 2: We want to show that  \($\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$\)are linearly independent. Suppose otherwise,

then we can write

\($$c_{1} \boldsymbol{r}_{i_{1}}+\cdots+c_{\ell} \boldsymbol{r}_{i_{\ell}}=\mathbf{0}$$\)

From Steps 1 and 2, we have proven that the nonzero rows of R form a basis for the row space.

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The food supply after day 4 is 107.8125 pounds. The table provided shows the change in the amount of food for a male sea otter at a zoo. The initial food supply was 100.75 pounds.

Let's calculate the food supply after each day using the information given:

Day 1: The otter ate -20.0625 pounds of food. To find the new food supply, we subtract this amount from the initial supply:
100.75 - 20.0625 = 80.6875 pounds

Day 2: The otter ate -23.375 pounds of food. To find the new food supply, we subtract this amount from the previous day's supply:
80.6875 - 23.375 = 57.3125 pounds

Day 3: The otter ate -25.25 pounds of food. To find the new food supply, we subtract this amount from the previous day's supply:
57.3125 - 25.25 = 32.0625 pounds

Day 4: The otter received 75.75 pounds of food. To find the new food supply, we add this amount to the previous day's supply:
32.0625 + 75.75 = 107.8125 pounds

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The distance d from port c to port a from the given ship movement is gotten as; 7.7 miles.

We are given;

Ferry travels east 3.5 miles from Port b.

Then it turns 75° south and travels for 6 miles till it gets to Port c

To get the distance d from port c to port a, we would make use of cosine rule which is;

c = √(a² + b² - 2ab*cos C)

Thus;

d = √(3.5² + 6² - 2(3.5 * 6)*cos 75))

d = 7.7 miles

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Answer:

Step-by-step explanation:7.7 miles

The circumference of the circle with a radius of 9 inches is approximately 56.52 inches if we use 3.14 to approximate pi.

The circumference of a circle is the distance around the edge of the circle. It can be calculated using the formula C = 2πr, where r is the radius of the circle and π is the mathematical constant pi.

In this problem, we are given the radius of the circle, which is 9 inches. We can substitute this value into the formula C = 2πr and simplify:

C = 2π(9)

C = 18π

Since we are asked to use 3.14 for pi, we can approximate the value of 18π by substituting 3.14 for π:

C ≈ 18 × 3.14

C ≈ 56.52

So, the circumference of the circle with a radius of 9 inches is approximately 56.52 inches if we use 3.14 to approximate pi. However, as I mentioned earlier, pi is an irrational number, and the exact circumference of the circle cannot be expressed as a finite decimal.

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The probability of selecting a green baseball cap from the order of 64 caps is 0.25 or 25%.

To calculate the probability of selecting a green baseball cap from the order of 64 caps, we can use the concept of probability.

Given:

Total number of caps (n) = 64

Number of green caps (k) = 16

The probability (P) of selecting a green cap can be calculated as the ratio of the number of green caps to the total number of caps:

P(green cap) = k / n

Substituting the values:

P(green cap) = 16 / 64

P(green cap) = 0.25

Therefore, the probability of selecting a green baseball cap from the order of 64 caps is 0.25 or 25%.

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Answer:

44 =x

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

162 = 3x+30

Subtract 30 from each side

162-30 = 3x+30-30

132 = 3x

Divide each side by 3

132/3 = 3x/3

44 =x

Answer:

162=3x+30

132=3x

x=44

Answer:

Using only dilation

Step-by-step explanation:

This is because dilation is to make bigger or smaller.

Answer:

c

Step-by-step explanation:

dilation is when you shrink the square, but maintain similarity between the four side lengths. Theoretically, you can shrink square EFGH to the size of ABCD

Answer:

x=-3, and x=1

Step-by-step explanation:

To solve for x you must set y to 0, since the solutions for x only exist when y is zero (the x intercepts)

0=x^2+2x-3

There are a couple of ways you can solve this quadratic equation

- by factoring

- by completing the square

- by the quadratic formula

Factoring is the simplest option in this case

the product of two numbers equals -3

the sum of the two numbers is 2

You can tell that the two numbers are 3 and -1

Now, you can factor the equation

(x+3)(x-1)=0

So the solutions are x=-3, and x=1

Answer:

radius is 14

Step-by-step explanation:

C = 2πr

28π = 2πr (you can divide the π from each side to eliminate them)

28 = 2r

28/2 = r

14 = r

Step-by-step explanation:

You need to either graph the equation or manipulate the equation into the standard form for a circle  ( often requiring 'completing the square' procedure)

circle equation:

        (x-h)^2 + (y-k)^2  = r^2    where (h,l) is the center   r = radius

x^2  - 6x      +     y^2 + 10 y  = 2    'complete the square for x and y

x^2 -6x +9    +     y^2 +10y + 25   = 2  + 9   + 25      reduce both sides

(x-3)^2           +  (y+5)^2    = 36     (36 is 6^2   so r = 6)

   center is  3, -5

Answer:15

Step-by-step explanation:

ANSWER:

STEP-BY-STEP EXPLANATION:

We have that the equation of a line in its slope and y-intercept form is the following:

Now, when two equations are perpendicular, the slope of both are opposite, that is, the product between them is equal to -1, like this:

We replace the values of the point (-9, 6) and the slope to calculate the value of the y -intercept:

Therefore, the perpendicular equation that also passes through the point (-9,6) is:

Now, when two lines are parallel, the slope is the same, therefore we calculate directly that it passes through the point (-9, 6)

therefore, the equation of the line that is parallel to this line and passes through the point (-9, 6) is:

Answer:

420

Step-by-step explanation:

I believe this is the answer

The value of -1/2(-4a - 6) + a^2 when the value of a is a = 8 is 83

The complete question is added as an attachment

The expression is given as:

-1/2(-4a - 6) + a^2

The value of a is

a = 8

So, we have:

-1/2(-4 * 8 - 6) + 8^2

Evaluate the product and the exponent

-1/2(-32 - 6) + 64

Evaluate the difference

-1/2(-38) + 64

Expand

19 + 64

Evaluate

83

Hence, the value of -1/2(-4a - 6) + a^2 when the value of a is a = 8 is 83

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Answer:

27 servings

Step-by-step explanation:

You must calculate the number of servings for each type of food and then add them. To calculate the number of servings, divide the amount of each food by the size of its serving.

Tuna: 5 / 1/2 = 5 * 2 = 10 servings

Chicken Salad: 2 / 1/4 = 2 * 4 = 8 servings

Egg salad: 3 / 1/3 = 3 * 3 = 9 servings

Total number of servings = 10 + 8 + 9 = 27

Answer: 27 servings

Step-by-step explanation:

X = 50+45 = 95 exterior angle

y =95 + 52 = 147 exterior angle

Z = 180 Straight angle

Answer:

A or the first one

The system transfer function for the given zeros, poles, and gain is H(s) = K(s + 6)(s + 5)(s + 314j)(s + 2 + j), where K is the gain factor.

To determine the system transfer function, we need to consider the given zeros and poles. In this case, the system has zeros at -6, -5, and 0, and poles at -314j and -2-1. The transfer function of a system is determined by the product of factors corresponding to the zeros and poles.

The transfer function can be written as H(s) = K(s - z1)(s - z2)...(s - zn)/(s - p1)(s - p2)...(s - pm), where z1, z2, ..., zn are the zeros and p1, p2, ..., pm are the poles. The gain factor K represents the overall amplification or attenuation of the system.

By substituting the given zeros and poles into the transfer function equation, we obtain H(s) = K(s + 6)(s + 5)(s + 314j)(s + 2 + j). This equation represents the transfer function of the system, incorporating the given zeros, poles, and the gain factor of 1.

It is worth noting that the presence of the complex pole at -314j indicates that the system has a frequency response with an imaginary component, which can contribute to the system's behavior in the frequency domain.

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If half of the population of bacteria were killed in the first minute of the sterilization process, we can assume that the remaining half is still alive. To determine the proportion of the remaining population that would be killed in the second minute, we need to consider that the bacteria are being killed at a constant rate.

Since half of the population was killed in the first minute, it means that the rate of killing is proportional to the population size. Therefore, in the second minute, the same proportion of the remaining population would be killed.

So, in the second minute, half of the remaining population would be killed.

To summarize, if half of the population of bacteria were killed in the first minute of the sterilization process, then in the second minute, half of the remaining population would be killed.

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The relation between a principal and interest rate is;

⇒ P = $20 / r

Where, P is the principal amount and r is the interest rate.

What is Simple interest?

The simple interest is defined as;

Simple interest = P r t

Where, P is principal amount.

r is rate and t is time period.

Given that;

Simple interest = $200

Time period = 10 years.

Let principal amount = P

And, The interest rate = r

So, We get;

Simple interest = P r t

Substitute all the values, we get;

Simple interest = P r t

$200 = P × r × 10

Pr = $20

P = $20 / r

Thus, We get the relation between a principal and interest rate is;

⇒ P = $20 / r

Where, P is the principal amount and r is the interest rate.

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Answer:

2100

Step-by-step explanation:

2000+400= 2400

2400-300= 2100

Linear regression forecasting is an algorithm used for identifying and predicting the future values of a dependent variable based on the independent variable.

The major restriction in linear regression forecasting is that it only takes into account the linear relationship between the dependent and independent variables.

The model assumes that the relationship between the dependent and independent variable is linear and not nonlinear. This assumption may not always be true because there might be cases where the relationship between the variables is non-linear, which can result in inaccuracies in the forecast.

The model's reliability is also based on the quality of the data used for regression analysis. If the data is incorrect, outdated, or incomplete, the accuracy of the model can be negatively affected. Another limitation is that the model assumes that the relationship between the dependent and independent variables is constant over time, which may not be true in the real world.

Also, linear regression is a parametric method that requires certain assumptions about the data, including the normality of the residuals and constant variance of the errors.Linear regression forecasts require data to be independent and unbiased and may not work well if data contains outliers or noise.

Linear regression cannot identify causality or differentiate between correlation and causality. Hence, it is recommended to use linear regression along with other techniques for better accuracy.

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Answer:

1716

Step-by-step explanation:

here we have to form arrangements of 3 students

taken from 13 students.

• Where order is important because the positions President, Vice President and Treasurer are not the same.

• also ,repetition is not allowed ,because one student can’t occupy two positions at the same time.

Then ,the number of possible ways

is equal to the number of permutations :

= 13P3

= 13×12×11

= 1716

Answer: Yes it is

Step-by-step explanation:

The number of boxes required to ship n units of the product can be expressed using the floor notation as \($\left\lfloor\frac{n}{36}\right\rfloor$\) and using the ceiling notation as \($\left\lceil\frac{n}{36}\right\rceil$\).

The floor notation gives the largest integer less than or equal to the quotient of n divided by 36. It is appropriate to use the floor notation when we want to round down to the nearest integer value. For example, if we have 100 units of the product, we would need \($\left\lfloor\frac{100}{36}\right\rfloor=2$\) boxes, meaning we would need to ship the product in two boxes.

The ceiling notation gives the smallest integer greater than or equal to the quotient of n divided by 36. It is appropriate to use the ceiling notation when we want to round up to the nearest integer value. For example, if we have 38 units of the product, we would need \($\left\lceil\frac{38}{36}\right\rceil=2$\) boxes, meaning we would need to ship the product in two boxes.

In most cases, it is appropriate to use the ceiling notation since it ensures that we always have enough boxes to ship the product. However, in some cases, such as when we want to minimize shipping costs, it may be more appropriate to use the floor notation to reduce the number of boxes needed.

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Answer:

9

Step-by-step explanation:

I think I understand that question strange way to put it

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(7-5); B(7,5)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Select one or more rows and columns

Or click on any cell in the row and then press Shift + Space. To select non-adjacent rows or columns, hold Ctrl and select the row or column numbers.