Find a 3Ã3 matrix with exactly one (real) eigenvalue -4, such that the -4-eigenspace is a line.

Answer:

True

Step-by-step explanation:

That is the distance formula.

Answer:

FALSE

Step-by-step explanation:

Distance Formula: \(\sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2}\)

Answer:

I think that it is y= -2x +9

Step-by-step explanation:

I am sure about the slope but the y-intercept (9) might be wrong.

The method that is invoked when an object is created is known as a constructor method.

Constructor in C++ is a special method that is invoked automatically at the time of object creation. It is used to initialize the data members of new objects generally.

The constructor in C++ has the same name as the class or structure. Constructor is invoked at the time of object creation. It constructs the values i.e. provides data for the object which is why it is known as constructors.

Constructor does not have a return value, hence they do not have a return type.

The prototype of Constructors is as follows:

<class-name> (list-of-parameters);

Constructors can be defined inside or outside the class declaration:-

The syntax for defining the constructor within the class:

<class-name> (list-of-parameters) { // constructor definition }

The syntax for defining the constructor outside the class:

<class-name>: :<class-name> (list-of-parameters){ // constructor definition}

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a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.Answer:

Step-by-step explanation:

a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.

Answer:

A. 57 7/9

Step-by-step explanation:

First you multiply 13/3 (the length) by 10/3 (the width). You get 130/9. You then multiply 130/9 (the base) by 12/3 which equals 1560/27.

1560/27 can be simplified to 57.7777778, which in turn converts to 57 7/9.

57 7/9 is the final answer.

The smallest possible value of (a+b) is 2, and this value is attained when a = 1 and b = 1.

Let r and s be the roots of the equation x^2 + ax + 2b = 0, and let p and q be the roots of the equation x^2 + 2bx + a = 0. Since both equations have real roots, their discriminants are nonnegative:

a^2 - 8b ≥ 0

4b^2 - 4a ≥ 0

Simplifying the second inequality, we get:

b^2 - a ≥ 0

b^2 ≥ a

We want to minimize (a+b). Adding the two given equations, we get:

(x^2 + ax + 2b) + (x^2 + 2bx + a) = 0

2x^2 + (a+2b+2b)x + (a+2b) = 0

This equation has real roots if and only if its discriminant is nonnegative:

(a+2b+2b)^2 - 8(2x^2)(a+2b) ≥ 0

(a+4b)^2 - 16b(a+2b) ≥ 0

a^2 + 8ab + 12b^2 ≥ 0

This inequality is always true for positive a and b, so we can safely assume that a and b are positive. Therefore, we can divide both sides by 4b^2 to get:

(a/b)^2 + 8(a/b) + 12 ≥ 0

Letting t = a/b, we can rewrite this as a quadratic inequality:

t^2 + 8t + 12 ≥ 0

This inequality is true for all values of t, so there are no restrictions on the ratio a/b. Therefore, we can minimize (a+b) by choosing a and b to be as small as possible subject to the constraint that b^2 ≥ a. Since a and b are both positive, we can take a = 1 and b = 1 to achieve this minimum. This gives:

(a+b) = 1+1 = 2

Therefore, the smallest possible value of (a+b) is 2, and this value is attained when a = 1 and b = 1.

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Answer:

1/4

Step-by-step explanation:

I used a calculator

To find the volume of the smallest cube-shaped box that can contain the pyramid, we need to first determine the length of the smallest edge of the box. Since the base of the pyramid is a square, the smallest edge of the box will be the diagonal of the square base of the pyramid.

Using the Pythagorean theorem, we find that the diagonal is:√(10² + 10²) = √200 = 10√2 inches Thus, the length of each edge of the smallest cube-shaped box that can contain the pyramid will be 10√2 inches. The volume of a cube is given by the formula

V = s³, where s is the length of one of its edges. Therefore, the volume of the box will be:(10√2)³ = 1000√8 cubic inches To simplify this expression, we can use the fact that √8 = √(4 · 2) = 2√2. Thus, the volume of the box is:1000√8 = 1000 · 2√2 = 2000√2 cubic inches Therefore, the volume of the smallest cube-shaped box that can contain Eric's pyramid is 2000√2 cubic inches, or approximately 2827.43 cubic inches to two decimal places.

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Answer:

3.8

Step-by-step explanation:

1. Use sine rule

d/sin(D) = f/sin(F) (d=EF, f=DE=3)

2. cross multiply

d=f(sin(D)/sin(F)) = 3(sin(75)/sin(50))=3.783

Answer:

  (b)  3.8

Step-by-step explanation:

Often, simple relations will help you solve geometry problems. Here, you only need to know that larger angles are opposite longer sides.

__

The angle opposite side EF is angle D, which is 75°. That angle is larger than angle F, which is opposite the side marked as having length 3.

This means EF > 3.

There is only one answer choice greater than 3. Choice B is 3.8.

  EF ≈ 3.8

______

The only "work" is remembering that larger angles are opposite longer sides.

To evaluate (hg)(-5), we need to first find the value of hg and then substitute -5 in place of x.

hg means we need to first apply the function g to h(x). So,

hg(x) = g(h(x)) = g(x^2 + 4) = 2(x^2 + 4) = 2x^2 + 8

Now, substitute -5 for x:

hg(-5) = 2(-5)^2 + 8 = 50 + 8 = 58

Therefore, the answer is not listed as an option. The correct answer is 58.

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Step-by-step explanation:

7+8+9=24

second integer is 8 so 8*3=24

We can determine if the process is in control by checking if any of the data points fall outside the control limits.

To construct a control chart for monitoring the proportion of incorrect forms, we will use the P chart because we are interested in monitoring the proportion of defects relative to the total number of forms processed.

To calculate the standard deviation of p (sigma_p) for the P chart, we can use the formula:

sigma_p = sqrt((p * (1 - p)) / n)

where:

p = average proportion of defective forms

n = number of forms processed

First, let's calculate the average proportion of defective forms (p):

p = Sum of incorrect forms / (200 * Number of days)

p = 143 / (200 * 10)

p ≈ 0.0715

Next, let's calculate sigma_p using the formula mentioned above:

sigma_p = sqrt((0.0715 * (1 - 0.0715)) / (200 * 10))

sigma_p ≈ 0.0093

For the P chart, the Upper Control Limit (UCL) is given by:

UCL = p + 3 * sigma_p

UCL ≈ 0.0715 + 3 * 0.0093

UCL ≈ 0.0994

The Lower Control Limit (LCL) for the P chart is typically set to zero since the proportion cannot be negative:

LCL = 0

Now, we can determine if the process is in control by checking if any of the data points fall outside the control limits.

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Hey there!

1. How to find f(5)?

2. Substitution and Evaluate

\( \large{f(5) = - 4( {5})^{2} + 6(5) - 4}\)

Remember to follow the PEMDAS/BODMAS rules! Exponent comes before multiplication.

\( \large{f(5) = - 4(25) + 30 - 4} \\ \large{f(5) = - 100 + 30 - 4} \\ \large{f(5) = - 74}\)

3. Final Answer

If you have any questions regarding the question or my answer, feel free to ask!

Answer:

1/2

Step-by-step explanation:

1 hour=60 minutes

2 hours=120 minutes

60/120=1/2

hope you got it

If you have any problem just ask me

If you think this is the best answer please mark me as brainliest

After 1 hour, Yao had completed 25% (1/4) of the 2-hour Mathematics paper.

In order to understand the fraction of time Yao had spent on the Mathematics paper after 1 hour, let's break down the problem. Yao was given a 2-hour Mathematics paper to complete, and he answered 5 questions in the first hour.

Now, let's calculate the fraction of time that had passed. To do this, we can set up a ratio of the time Yao had spent to the total time available. The time Yao spent is 1 hour, and the total time available is 2 hours. So the fraction of time that had gone can be represented as:

= Time spent / Total time

= 1 hour / 2 hours

= 1/2

Therefore, after 1 hour, Yao had completed half of the allotted time. However, we are asked to express this fraction in terms of questions answered. Yao had answered 5 questions out of a total of 20 questions.

To express the fraction of time in terms of questions answered, we can set up another ratio. The questions Yao answered is 5, and the total number of questions is 20. So the fraction of time that had gone can be represented as:

= Questions answered / Total questions

= 5 questions / 20 questions

= 1/4

Hence, after 1 hour, Yao had completed 1/4 of the total questions in the Mathematics paper. This means he still had 3/4 (or 75%) of the questions to complete in the remaining hour.

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Answer: the answer is A

reason:  224294 * 43 / 100 = around 96320

Answer:

View the image below

Step-by-step explanation:

The ratio of the area of a square inscribed in a semicircle to the area of a square inscribed in a circle is 2/5.

What is a semicircle?

A semicircle in mathematics is a one-dimensional locus of points that makes up one-half of a circle. A semicircle's entire arc always measures 180 degrees. There is only one symmetry line in it.

For instance, if the radius is known, we can use the formula, which states that the area of a semicircle is equal to half that of a circle. As a circle's area is r2, Therefore, a semicircle's area is equal to 1/2(r2), where r is its radius. 3.14, or 22/7, is the value of.

Solution Explained:

Let's assume and take

The dimensions of the little square ABCD = 2 x 2 =4

of the little triangle's hypotenuse Radius of the semi-circle for BCG

H=sqrt(5) = The semicircle's radius

IHJK = 2sqrt is the diagonal of the huge square (5)

One side of the large square is IHJK when sin(45) x 2sqrt(5) = sqrt(10).

Therefore, the area of ABCD/area of IHJK is equal to 4/sqrt(10)2 = 2/5.

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To fit the enlarged map, which has dimensions of 16 inches by 20 inches, using 2 inches = 25 miles as the scale, 4 pieces of blank paper, each measuring 8 inches by 10 inches, would need to be taped together. Option C.

To determine how many 8-inch by 10-inch pieces of blank paper are needed to fit the enlarged map, we need to compare the size of the original map to the size of the enlarged map.

The original map is 8 inches by 10 inches. According to the given scale of 1 inch = 50 miles, the dimensions of the original map in miles are 8 inches * 50 miles/inch = 400 miles by 10 inches * 50 miles/inch = 500 miles.

The enlarged map has a scale of 2 inches = 25 miles. We need to calculate the dimensions of the enlarged map in inches. Let's represent the dimensions of the enlarged map as L inches by W inches.

From the given scale, we can set up the proportion: 1 inch / 50 miles = 2 inches / 25 miles.

Cross-multiplying, we get: 1 inch * 25 miles = 2 inches * 50 miles.

Simplifying, we find: 25 miles = 100 miles.

This implies that L inches = 2 inches * 8 = 16 inches, and W inches = 2 inches * 10 = 20 inches.

Now we can determine how many 8-inch by 10-inch pieces of blank paper are needed to fit the enlarged map. Since each piece of paper has dimensions 8 inches by 10 inches, we divide the dimensions of the enlarged map by the dimensions of each piece of paper.

The number of pieces of paper needed = (L inches / 8 inches) * (W inches / 10 inches) = (16 inches / 8 inches) * (20 inches / 10 inches) = 2 * 2 = 4.

Therefore, the answer is 4 pieces of blank paper. Option C is correct.

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The value of the product \($abc = 1 * 3 * 1 = 3$\).

To express the number \($345{,}600$\) as a product of powers of prime numbers, we first need to find the prime factorization of the given number.

\($345{,}600 = 2^3 * 3 * 5^3 * 23$\)

Now we need to rewrite the given expression \($6^a5^b4^c$\) in terms of prime numbers:

\($6^a5^b4^c = (2 * 3)^a * 5^b * (2^2)^c = 2^{a+2c} * 3^a * 5^b$\)

By comparing the exponents of the prime factorization of \($345{,}600$\) with the rewritten expression, we can determine the values of \($a$\), \($b$\), and \($c$\):

\(a+2c=3$, \\$a=1$, \\and $b=3$\)

Solving for \($c$\), we get:

\($c = (3 - a) / 2 = (3 - 1) / 2 = 1$\)

Now we have \(a=1$, $b=3$, and $c=1$\). The product \($abc = 1 * 3 * 1 = 3$\).

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Answer:

13a) E is (a,3b)

13b) I is (4a,0)

Step-by-step explanation:

Answer:

The answers that I got from solvng it:

13a) E is (a,3b)

13b) I is (4a,0)

Sorry, if it isnt right...

The trade discount when the supplier offers trade discount rates of 20/10/5 is $1580.

Subtract the trade discount from 100% and change to decimals. This will be:

= 100% - 20% = 0.8

= 100% - 10% = 0.9

= 100% - 5% = 0.95

The net price factor will be:

= (0.8 × 0.9 × 0.95)

= 0.684

The single equivalent discount will be:

= 1 - Net price factor

= 1 - 0.684

= 0.316

The trade discount will be:

= Price × Discount

= $5000 × 0.316

= $1580

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Answer:

4

Step-by-step explanation:

\( \frac{2}{3} \times 6 = 4\)

I think she can make 4 throw pillows if she should use 6 yards of fabric

i hope this helped

Answer:

  $45.02

Step-by-step explanation:

The tip here is being figured on the bill before tax. It is the product of the bill amount and the tip rate:

  $225.10 × 20% = $45.02

Harry will leave $45.02 as a tip.

Answer:

YES

Step-by-step explanation:

The set of vectors x ∈ R3 for which 1 0 0, 0 1 0, x is a basis for R3 is given by all vectors x that are linearly independent from 1 0 0 and 0 1 0, and have at least one non-zero component.

To find the set of vectors x ∈ R3 for which 1 0 0 , 0 1 0 , x is a basis for R3, we need to find the vector x that completes the basis for R3.Since the basis for R3 consists of three linearly independent vectors, the vector x must also be linearly independent from the first two vectors, 1 0 0 and 0 1 0. This means that x cannot be a linear combination of the first two vectors, and must have at least one non-zero component.

Let x = [x1, x2, x3] be the vector that completes the basis for R3. Then, we can write any vector v ∈ R3 as a linear combination of the basis vectors as:

v = a1 [1 0 0] + a2 [0 1 0] + a3 [x1 x2 x3]

where a1, a2, and a3 are scalars.

Since the basis vectors are linearly independent, this equation has a unique solution for any vector v ∈ R3. Therefore, the set of vectors x ∈ R3 for which 1 0 0 , 0 1 0 , x is a basis for R3 is given by all vectors x that are linearly independent from 1 0 0 and 0 1 0.

One way to express this set of vectors is as follows:

x = [x1, x2, x3] ∈ R3 such that x1 ≠ 0 or x2 ≠ 0 or x3 ≠ 0.

In other words, the vector x can have any value in R3, as long as it has at least one non-zero component.

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Therefore, the straight horizontal line labeled f(x) represents where f(x) is equal to 4.

Based on the given information, the function f(x) is represented by the straight horizontal line that crosses the y-axis at (0, 4). The point (0, 4) on the y-axis indicates that when x is 0, the value of f(x) is 4. Since the line is horizontal, it maintains a constant value of 4 for all values of x.

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Answer:

D. linear; y = –x – 1

Step-by-step explanation:

Linear; y=-x - 1

The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x

...............................................................................................................................................

Answer:

The correct answer is D) linear; y = –x – 1

Step-by-step explanation:

To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.

(4, 5)

y = -x - 1

-5 = -4 - 1

- 5 = -5 (TRUE)

(0, -1)

y = -x - 1

-1 = 0 - 1

-1 = -1 (TRUE)

Answer:

The answer must be C

Step-by-step explanation:

I can explain if you want to, just let me know!

Answer:

$2.40

Step-by-step explanation:

There is a 50% discount, so you do 50% of 4.80 which is 2.40

Then subtract 2.40 from 4.80

and you get 2.40

\(.50*4.80=2.40\)

\(4.80-2.40=2.40\)

I hope that wasn't confusing.

Hope this helps! (✿◠‿◠)

The required price of a plastic watch in the sale is $2.40.

Given that,
to determine the sale price of a plastic watch originally priced at $4.80 if the sale is 50%.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
A plastic watch was originally priced at $4.80.
After 50% the price is = 50% * 4.80
                                     = 4.80 * 50 / 100
                                     = 4.80 * 1/2
                                     = $ 2.40

Thus, the required price of a plastic watch in the sale is $2.40.

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The test statistic is approximately -2.03.

To calculate the test statistic, we can use the one-sample t-test formula:

t = (x - μ) / (s / √n)

Where:

x is the sample mean,

μ is the hypothesized population mean,

s is the sample standard deviation,

n is the sample size.

In this case, we have:

x = 44.3 (sample mean)

μ = 44.6 (hypothesized population mean)

s = 1.01 (sample standard deviation)

n = 46 (sample size)

Plugging in the values, we can calculate the test statistic:

t = (44.3 - 44.6) / (1.01 / √46)

= -0.3 / (1.01 / √46)

= -0.3 / (1.01 / 6.782)

≈ -0.3 / 0.148

Rounding to 2 decimal places, the test statistic is approximately -2.03.

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Complete question =

Testing:

H0:μ=44.6

H1:μ<44.6

Your sample consists of 46 subjects, with a mean of 44.3 and standard deviation of 1.01.

Calculate the test statistic, rounded to 2 decimal places.