Solve and check the following equation. −75 = −5d − 150d =

Answer:

2 * (M - 14) = 64

Step-by-step explanation:

Twice mean s two times the rest of M

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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The eigenvalues of A are λ = 0 (with multiplicity 1) and λ = 5 (with multiplicity 2), and the corresponding eigenvectors are [1, 0, -1], [0, 1, -1], and [1, -1, 1].

The matrix A = [5 5 5; 5 5 5; 5 5 5] is a 3x3 matrix with all entries equal to 5.

First, we can calculate the determinant of A - λI, where I is the identity matrix and λ is an unknown eigenvalue:

A - λI = [5-λ 5 5; 5 5-λ 5; 5 5 5-λ]

det(A - λI) = (5-λ)[(5-λ)(5-λ)-25] - 5[5(5-λ)-25] + 5[5-25]

= (5-λ)(λ^2 - 15λ) = -λ(λ-5)^2

From this equation, we can see that the eigenvalues are λ = 0 and λ = 5 (with multiplicity 2).

To find the eigenvectors, we can substitute each eigenvalue into the equation (A - λI)x = 0 and solve for x.

For λ = 0, we have:

A - 0I = A = [5 5 5; 5 5 5; 5 5 5]

(A - 0I)x = 0x = [0 0 0]

This implies that any vector of the form [a, b, -a-b] is an eigenvector for λ = 0. For example, we can choose [1, 0, -1] and [0, 1, -1] as linearly independent eigenvectors corresponding to λ = 0.

For λ = 5, we have:

A - 5I = [0 5 5; 5 0 5; 5 5 0]

(A - 5I)x = 0

⇒ 5x2 + 5x3 = 0

⇒ 5x1 + 5x3 = 0

⇒ 5x1 + 5x2 = 0

This implies that any vector of the form [1, -1, 1] is an eigenvector for λ = 5. Therefore, we can choose [1, -1, 1] as another linearly independent eigenvector corresponding to λ = 5.

Eigenvectors are a fundamental concept in linear algebra. They are essentially special vectors that remain in the same direction when a linear transformation is applied to them, only changing in magnitude. In other words, an eigenvector of a linear transformation is a vector that when multiplied by the transformation matrix, results in a scalar multiple of itself.

Eigenvectors play a crucial role in diagonalizing matrices, which can simplify calculations involving matrix operations. They are also useful for solving differential equations and understanding the behavior of dynamic systems. In addition, eigenvectors are often used for data analysis, such as in principal component analysis (PCA), which is a technique for reducing the dimensionality of data.

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

9×2

Step-by-step explanation:

9×d

d= difference

d=6-4

d=2

9×2=18

Answer:

x = -10

Step-by-step explanation:

y = 2x + 5

-15 = 2x + 5

-20 = 2x

-10 = x

Answer:

-10

Step-by-step explanation:

y = -10

Answer:

that looks hard im sorry cant do that

Step-by-step explanation:

Greek number prefixes are employed in the naming of molecular (covalent) substances.

Greek number prefixes are employed in the naming of molecular (covalent) substances. Prefixes are always combined in order of size (left-to-right in the table below). For instance, "heptadecatetracta" (7 + 10 + 400) would be the prefix for the number 417.

We utilise prefixes (mono-, di-, tri-, etc.) at the beginning of each element in molecular compounds to denote the element's subscript, but we only use the prefix mono- for the compound's second element.

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Answer:

34*2.3 =65

Step-by-step explanation:

1) Given that we were told that the first three terms of this Sequence. Let's find the common difference:

2) Based on that, we can do the following to find the next two terms:

Thus, the next terms are -5 and 2

The quotient of 2.860 divided by 61.4, expressed with the correct number of significant figures, is approximately 0.0466.

To calculate the quotient, divide 2.860 by 61.4:

2.860 ÷ 61.4 = 0.046590909...

Since we need to express the result with the correct number of significant figures, we consider the significant figures in the original numbers.

The number 2.860 has four significant figures, and the number 61.4 has three significant figures.

To ensure the final result has the correct number of significant figures, we round it to match the least number of significant figures in the original numbers. In this case, it is three significant figures (from 61.4).

Rounding the result, we get approximately 0.0466, with three significant figures.

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Answer:

-14 +2

Step-by-step explanation:

because you would do kcc aka keep change change

you would keep -14 change the minus to a addition sign and change the -2 to a positive 2

Answer:

503

------

3586

Step-by-step explanation:

that's as small as I can get it

The given statement "When creating a contact sheet digitally, it is possible to share your sheet digitally, but it is not possible to print a copy of it." is false. Because Digital contact sheets can be printed on paper using a printer, allowing for physical copies to be made.

When creating a contact sheet digitally, you have the flexibility to both share it digitally and print physical copies if desired. Digital contact sheets can be easily shared through various digital channels such as email, messaging apps, or file-sharing platforms.

Additionally, you can also choose to print a copy of the contact sheet using a printer. Printing a digital contact sheet allows you to have a tangible copy that can be used for reference or distribution.

So, while sharing the sheet digitally is possible, it is certainly not true that printing a copy of it is not possible. So, the given statement is False.

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Answer:

true

Step-by-step explanation:

because in order for something to be divisible by 5 it has to end in an 0 or a 5

and for something to be divisble by 2 it has to end in a even number

The weight of the Avery's lunch box using given weights is equal to 0.92 pounds (rounded to two decimal places).

Total weight of the backpack= 2 2/3 pounds

                                                = 8/3 pounds

The weight of the each book =7/8 pounds.

Let x be the weight of the lunch box in pounds.

An equation that represents the total weight in Avery's backpack,

2(7/8) + x = 8/3

To solve for x, simplify and solve for x,

⇒14/8 + x = 8/3

Multiplying both sides by 24 the least common multiple of 8 and 3 to clear the fractions,

⇒42 + 24x = 64

Subtracting 42 from both sides,

⇒24x = 22

Dividing both sides by 24,

⇒x = 22/24

Simplifying the fraction,

⇒x = 11/12

     =  0.92 pounds (rounded to two decimal places).

Therefore, the  weight of the lunch box is equal to 0.92 pounds (rounded to two decimal places).

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The price of a restaurant meal for the family is $1,978.75.

let's assume the price of a restaurant meal is x dollars.

if the family buys 4 restaurant meals, the total cost would be 4x dollars.

we are given that the family has a budget of $7,915 for sit-down restaurant meals and fast food. this means that the total cost of the meals (including both restaurant meals and fast food) is $7,915.

if the family chooses to spend the entire budget on restaurant meals, without buying any fast food, the cost would be 4x dollars.

so, we can set up the equation:

4x = 7,915

apologies for the brief response. here's a more detailed explanation:

let's assume the price of a restaurant meal for the family is x dollars.

if the family buys 4 restaurant meals, the total cost would be 4 times the price of a restaurant meal, which is 4x dollars.

we are given that the family has a budget of $7,915 for sit-down restaurant meals and fast food.

if the family decides not to buy any fast food and spends the entire budget on restaurant meals, the total cost of the meals would be $7,915.

so, we can set up the equation:

4x = 7,915

to find the price of a restaurant meal (x), we need to solve this equation.

dividing both sides of the equation by 4, we get:

x = 7,915 / 4

x = 1,978.75 75.

this means that if the family decides to buy 4 restaurant meals without purchasing any fast food, each meal would cost $1,978.75.

to find the price of a restaurant meal (x), we divide both sides of the equation by 4:

x = 7,915 / 4

x = 1,978.75

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Answer:

-4r

Step-by-step explanation:

r + -5r

Factor out r

r( 1-5)

r(-4)

-4r

Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

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Answer:

368 boxes of popsicles :)

Step-by-step explanation:

2,944/8 = 368

The substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5

These are equations that has a leading degree of 2. Given the expression

6(x+5)^2 + 5(x+5) - 4 = 0

In order to simplify this equation, we will replace the reoccuring term by a variable.

From the equation we can see that (x+5) is occuring the most. Let u = x + 5 so that:

6u^2 - 5u - 4 = 0

Hence the substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5

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Use the slope formula and pick any two points  to find the slope.

m= Y2- Y1/x2-x1

I picked the points (1,8) (3,14).

14-8/3-1= 6/2= 3

Hope this helps .

There is no significant evidence that the mean hemoglobin level is higher among breast-fed babies.

Given :

Let μ B , μ F μB, μF be the mean of breast fed and formula fed infants respectively. To test the hypothesis that there is a difference in hemoglobin level of the population of infants who are breast-fed and formula-fed is formulated as :

H o : μ B − μ F = 0

H a : μ B − μ F ≠ 0

S^2 = ( 23 − 1 ) ( 1.7 )^2 + ( 19 − 1 ) ( 1.8 )^2 / 23 + 19 - 2

S = 1.746

The test statistic is given as :

t = ( 13.3 − 12.4 ) − ( 0 ) / 1.764 * √1/23 + 1/19

= 1.646

Now the P-value is greater than the test significance value 0.05, and hence the null hypothesis cannot be rejected at 0.05 significance level.

Therefore, there is no difference in the population means between breast-fed infants and formula-fed infants .

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Full question :

A study of iron deficiency among infants compared samples of infants following different feeding regimens. One group contained breastfed infants, while the infants in another group were fed by a standard baby formula without any iron supplements. The summary results on blood hemoglobin levels at 12 months of age are provided below. Furthermore, assume that both samples are sampled from populations that are reasonably normally distributed. (M.F. Picciano and R.H. Deering?The influence of feeding regimens on iron status during infancy,? American Journal of Clinical Nutrition, 33 (1980), pp. 746-753)

Group n x s

Breast-fed 23 13.3 1.7

Fourmula 19 12.4 1.8

The clerk walked approximately 0.371π meters during the 132 minutes of delivering along the hallway.

To find the number of 3-meter segments the clerk walked during the 132 minutes, we need to integrate the velocity function over the given time interval.

v(t) = 4π sin(t)

The clerk starts at one end and takes 13 minutes to finish deliveries, so the time interval is from t = 0 to t = 13.

To calculate the distance walked, we integrate the absolute value of the velocity function over the given interval:

Distance = ∫[0, 13] |v(t)| dt

Let's calculate the integral:

Distance = ∫[0, 13] |4π sin(t)| dt

Since the absolute value of sin(t) is positive for the given interval, we can simplify the integral to:

Distance = 4π ∫[0, 13] sin(t) dt

Using the integral of sin(t), which is -cos(t), the expression becomes:

Distance = -4π cos(t) |[0, 13]

Now we can evaluate the integral over the given interval:

Distance = -4π (cos(13) - cos(0))

Simplifying further:

Distance = -4π (cos(13) - 1)

Calculating the value:

Distance ≈ -4π (0.907 - 1)

Distance ≈ -4π (-0.093)

Distance ≈ 0.371π meters

Therefore, the clerk walked approximately 0.371π meters during the 132 minutes.

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Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

≈

1075.21009

Step-by-step explanation:

While loop is a condition based loop which run till condition is true. So by giving condition that value is not equal to -1 while will run till -1 is entered.

→vectorname.push_back(value) function is used to add elements to a vector.

→vectorname.at(index) function is used to access element present at index.

The following is how the algorithm and program code will be written:

ALGORITHM :

Input value

while loop run till value is not equal to -1

Inside loop add value to vector

Input value

End loop

Output vector elements

PROGRAM CODE :

// C++ Program

#include

#include using namespace std;

// Main

int main()

{

   // Vector declaration

   vector dataVect; // Variable declaration

   int value; int i;

   // Input value cin >> value;

   // While value is not equal to -1

   while(value!=-1){

           // Add that value to vector

   dataVect.push_back(value);

   // Input value cin >> value;

   }

   // Output vector elements one by one

   for (i=0; i

   cout<<< dataVect.at(i) << endl;

    }

    return 0;

}

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Answer:

Step-by-step explanation:

The imaginary number 'i' is equal to the square root of -1. If you were to square the square root, they both cancel and you get -1.

\(21i^2=21(\sqrt{-1} )^2=21(-1)=-21\)

Answer:

See below.

Step-by-step explanation:

As the diameter is 5 inches, the radius “r” is 5/2 = 2.5 inches.

We calculate the volume of a sphere as follows: \(V = 4/3 \pi r^3\)

As we have to use 3.14 for pi, we’ll use that instead of “true” pi.

The formula becomes:

\(V = 4/3*3.14*2.5^3 = 65.42\)

The volume of the sphere is 65.42 cubic inches.

The solutions x = 6 and x = 3/2 for the given equations.

What is cross multiplication ?

Cross-multiplication is a method used to solve equations involving fractions, proportions, or ratios. In cross-multiplication, we multiply both sides of an equation by the product of the denominators of the fractions involved, in order to eliminate the fractions and obtain an equation with only integers or simpler fractions.

According to the question:
We can solve both equations using cross-multiplication and simplification.

First, for the equation 4:x=2√2:3√2, we have:

4 / x = 2√2 / 3√2

Multiplying both sides by x and 3√2, we get:

4 * 3√2 = 2√2 * x

Simplifying:

12√2 = 2√2x

Dividing both sides by 2√2, we get:

6 = x

Therefore, x = 6 is a solution to the first equation.

Now, for the equation x / 2 * √(3) = √(3) / 4, we have:

x / (2 * √(3)) = √(3) / 4

Multiplying both sides by 2 * sqrt(3), we get:

x = (√(3) / 4) * (2 * √(3))

Simplifying:

x = (√(3) / 2) * √(3)

x = 3/2

Therefore, x = 3/2 is a solution to the second equation.

Thus, we have found the solutions x = 6 and x = 3/2 for the given equations.

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