For the following exercises, line L is given.
a. Find point P that belongs to the line and direction vector v of the line. Express v in component form.
b. Find the distance from the origin to line -x=y+1, z=2

Answer:

no se te entiende nada.

:v

Answer:26.4

Step-by-step explanation:1.2 x22

The program goes through the following steps when the input is 13

step 1) check to see if the age is less than 2. It is not, so we move on

step 2) check to see if the age is 2 to less than 12. It is not, so we move on

step 3) check to see if the age is 12 to less than 22. We are in the right range, so we execute the print statement "student admission is $8"

After this the program is done. It doesn't check to see if the age is greater than 22 (that only would apply if the other if statements were false).

So we have four steps. The first three are checking those "if" statements mentioned. The fourth statement is executing the print output to show the price.

Answer:

It would take 3 steps before executing

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If you were to put the number of turkey out in order from least to greatest, the median is 12. Doing the same thing to the ham, the median is 9.

Subtracting Turkey (12) from Ham (9) your answer is C, or 3.

Answer:

The t-score that should be used to find the 90% confidence interval is 1.729.

Step-by-step explanation:

The (1 - α)% confidence interval population mean, when the population standard deviation is not known is:

\(CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}\)

The information provided is:

n = 20

α = 0.10

The degrees of freedom of t-statistic will be:

df = n - 1

   = 20 - 1

   = 19

Compute the critical value of t as follows:

\(t_{\alpha/2, (n-1)}=t_{0.10/2, 19}=1.729\)

*Use a t-table.

Thus, the t-score that should be used to find the 90% confidence interval is 1.729.

Answer:

Did you attached an image? I can't see it

Step-by-step explanation:

Points can be transformed to another set of points through reflections, rotation, translation, dilations etc. The graph of \(y = -f(x)\) is added as an attachment.

Given that:

\(y = f(x)\)

The graph of \(y = -f(x)\) means that, f(x) is reflected across the x-axis to get -f(x) i.e. we negate the y-values of f(x)

From the attached graph of f(x), we have the following coordinate points:

\((-7,0), (-5,2), (-3,0), (0,-3)\)

The corresponding points on -f(x) is:

\((-7,0), (-5,-2), (-3,0), (0,3)\)

See attachment for the graph of \(y = -f(x)\)

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If weekday is true and miles is less than 10, then the Boolean variable available is set to true.

Step 1: Check if weekday is true

Step 2: Check if miles is less than 10

Step 3: If both conditions are true, then set the Boolean variable available to true

Step 1: Check if weekday is true. This is done by checking if the Boolean variable weekday is set to true. If it is, then proceed to the next step.

Step 2: Check if miles is less than 10. This is done by using the integer variable miles and checking if it is less than 10. If it is, then proceed to the next step.

Step 3: If both conditions are true, then set the Boolean variable available to true. This is done by setting the Boolean variable available to true if the conditions from the previous steps are both true. If not, then the Boolean variable available is set to false.

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The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

Jayla's expenses are: $245.00

Jayla's revenue from the sales are: $479.00

Total profit: $234.00

------------------------------------------

Hope this helps! This should be correct !

Answer:

- $245

+ $479

+ $234

Step-by-step explanation:

expenses : (25 x 2) + (15 x 3) + (30 x 5) = 50 + 45 + 150 = 95 + 150 = $245

revenue : (38 x 2) + (26 x 3) + (65 x 5) =  76 + 78 + 325 = 154 + 325 = $479

total profit : 479 - 245 = $234

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

To prove that (secx+tanx)² = (cscx+1)/(cscx-1), we will start with the left-hand side (LHS) of the equation and simplify it step by step until it matches the right-hand side (RHS) of the equation.

LHS: (secx+tanx)²

Using the trigonometric identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the LHS as:

LHS: (1/cosx + sinx/cosx)²

Now, let's find a common denominator and simplify:

LHS: [(1+sinx)/cosx]²

Expanding the squared term, we get:

LHS: (1+sinx)² / cos²x

Next, we will simplify the denominator:

LHS: (1+sinx)² / (1 - sin²x)

Using the Pythagorean identity sin²x + cos²x = 1, we can replace 1 - sin²x with cos²x:

LHS: (1+sinx)² / cos²x

Now, let's simplify the numerator by expanding it:

LHS: (1+2sinx+sin²x) / cos²x

Next, we will simplify the denominator by using the reciprocal identity cos²x = 1/sin²x:

LHS: (1+2sinx+sin²x) / (1/sin²x)

Now, let's simplify further by multiplying the numerator and denominator by sin²x:

LHS: sin²x(1+2sinx+sin²x) / 1

Expanding the numerator, we get:

LHS: (sin²x + 2sin³x + sin⁴x) / 1

Now, let's simplify the numerator by factoring out sin²x:

LHS: sin²x(1 + 2sinx + sin²x) / 1

Using the fact that sin²x = 1 - cos²x, we can rewrite the numerator:

LHS: sin²x(1 + 2sinx + (1-cos²x)) / 1

Simplifying further, we get:

LHS: sin²x(2sinx + 2 - cos²x) / 1

Using the fact that cos²x = 1 - sin²x, we can rewrite the numerator again:

LHS: sin²x(2sinx + 2 - (1-sin²x)) / 1

Simplifying the numerator, we have:

LHS: sin²x(2sinx + 1 + sin²x) / 1

Now, let's simplify the numerator by expanding it:

LHS: (2sin³x + sin²x + sin²x) / 1

LHS: 2sin³x + 2sin²x / 1

Finally, combining like terms, we get:

LHS: 2sin²x(sin x + 1) / 1

Now, let's simplify the RHS of the equation and see if it matches the LHS:

RHS: (cscx+1) / (cscx-1)

Using the reciprocal identity cscx = 1/sinx, we can rewrite the RHS:

RHS: (1/sinx + 1) / (1/sinx - 1)

Multiplying the numerator and denominator by sinx to simplify, we get:

RHS: (1 + sinx) / (1 - sinx)

Now, we can see that the LHS and RHS are equal:

LHS: 2sin²x(sin x + 1) / 1

RHS: (1 + sinx) / (1 - sinx)

Therefore, we have proven that (secx+tanx)² = (cscx+1)/(cscx-1).

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Answer:

y=4x^3−10x+128.805299

Step-by-step explanation:

Xmin:

-10

Xmax:

10

Ymin:

-10

Ymax:

10

Answer:

11.1 and 38.9

Step-by-step explanation:

16x + 18 (1-x) = 16.89

2x = 1.11

x = 0.222

0.222 x 50 = 11.1

50-11.1 = 38.9

Answer:

i think it is option c

Step-by-step explanation:

Answer:

1.9 hours

Step-by-step explanation:

7.6 divided by 4

Answer:

1 hour and 54 minutes or 1.9 hours

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

X=90

Step-by-step explanation:

Since the shape is a square and all sides are equal, all angles are 90 degrees because it’s a square.

hope that helps!

Answer:

Step-by-step explanation:

To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level

The nul hypothesis is

\(H_0; \mu \geq 1520\)

The alternative hypothesis is

\(H_0 ; \mu\leq 1520\)

The test statistic is

\(t=\frac{\bar x- \mu}{(\frac{s}{\sqrt{n} } )}\)

\(t= \frac{1501-1520}{(\frac{53}{\sqrt{20} } )} \\\\=-1.603\)

The t - test statistics is -1.603

The t - critical value is,

The small size is small and left tail test.

Look in the column headed \(\alpha = 0.05\) and the row headed in the t - distribution table by using degree of freedom is,

d.f = n - 1

= 20 - 1

= 19

The t - critical value is -1.729

The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance.

there is insignificance evidence ti indicate that the mean SAT score is less than 1520. The result is not statistically significant

Answer:

Critical value = -1.729

Step by Step explanation:

Given:

n = 20

X' = 1501

Standard deviation = 53

Mean, u = 1520

Level of significance, a = 0.05

The null and alternative hypotheses:

H0 : u = 1520

H1 : u < 1520

This is a lower tailed test.

Degrees of freedom, df = 20 - 1 = 19

For critical value:

\(t critical = - t_a, _d_f \)

From t table df = 19, one tailed

\(t critical = -t _0._0_5, _1_9 = -1.729\)

Critical value = -1.729

Decision: Reject null hypothesis H0, if test statistic Z, is less than critical value.

Test statistic Z =

\( Z = \frac{X' - u}{\sigma / \sqrt{n}} \)

\( Z = \frac{1501 - 1520}{53/ \sqrt{20}}= -1.603\)

Z = -1.603

For p-value:

From excel,

P(t< -1.603) = t.dist( -1.603, 19, 1)

= 0.06269

≈ 0.0627

P value = 0.0627

Since test statistic Z, -1.603, is greater than critical value, -1.729, we fail to reject the null hypothesis H0.

There is not enough statistical evidence to conclude that mean is less than 1520.

The solution to the given inequality is\($$x \leq-6$$\)

\($$3 x+5 \leq-13$$\)

Move 5 to the right side

\($$3 x \leq-18$$\)

Divide both sides by 3

\($\frac{3 x}{3} \leq \frac{-18}{3}$\)

Simplify

\($$x \leq-6$$\)

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Answer:

86.60254

Step-by-step explanation:

30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)

Answer:

no

Step-by-step explanation:

Generally oblique is used to describe the relationship between 2 lines, but only 1 is given. Oblique means slanted to a degree other than a multiple of 90°, usually in reference to the other line.

x = 7 is a vertical line, and that is exactly 90°, -90°, or even 270° or -270° depending on how you look at it, so it is not oblique on its own.

Answer:

x = 7 is not an oblique line.

Step-by-step explanation:

x = 7 is the standard equation for a vertical line, x = a, with an undefined slope.  Vertical lines do not have horizontal change. Hence, its line will not be oblique (or slanted).  

The equations in slope-intercept form (y = mx + b), standard form (Ax + By = C), and point-slope form [y - y₁ = m(x - x₁)] will most likely represent an oblique line, as long as its slope (m) ≠ 0.  A line with a zero slope is a horizontal line (which is also not an oblique line).

Therefore, x = 7 is not an oblique line, but rather a vertical line.  

Answer:

The room is 5 inches in the drawing.

Step-by-step explanation:

If the room is 20 feet and each inch in his drawing measures 4 feet what you need to do is see how many times 4 goes into 20.

4 times 5 = 20

So the answer would be 5

Hope it helps! =D

The name of the Platonic solid that resembles a cuboid is the hexahedron, or more commonly known as a cube.

The correct answer is option C.

The name of the Platonic solid that resembles a cuboid is the hexahedron, also known as a cube. The hexahedron is one of the five Platonic solids, which are regular, convex polyhedra with identical faces, angles, and edge lengths. The hexahedron is characterized by its six square faces, twelve edges, and eight vertices.

The term "cuboid" is often used in general geometry to describe a rectangular prism with six rectangular faces. However, in the context of Platonic solids, the specific name for the solid resembling a cuboid is the hexahedron.

The hexahedron is a highly symmetrical three-dimensional shape. All of its faces are congruent squares, and each vertex is formed by three edges meeting at right angles. The hexahedron exhibits symmetry under several transformations, including rotations and reflections.

Its regularity and symmetry make the hexahedron an important geometric shape in mathematics and design. It has numerous applications in architecture, engineering, and computer graphics. The cube, as a special case of the hexahedron, is particularly well-known and widely used in everyday life, from dice and building blocks to cubic containers and architectural structures.

Therefore, the option which is the correct is C.

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The question probable may be:

What is the name of the Platonic solid which resembles a cuboid?

A. Dodecaheron  

B. Tetrahedron

C. Hexahedron

D. Octahedron  

Answer:

There is one solution. The solution is 2, 18, 19.

Step-by-step explanation:

If you want me to show working tell me in the comments and I'll edit the answer

Answer:

A. (2, 18, -19)

Step-by-step explanation:

To solve:

Z is the most suitable variable to remove first

Add the first equation to the second equation: (this conveniently removes both y and z)

(x+y-z) + (4x-y+z) = 1+9

Simplify

5x = 10

Solve

x = 2

Multiply the second equation by 2 and minus it to the third equation: (Solve for y)

2(4x-y+z) - (x-3y+2z) = 2(9) - (-14)

Simplify

8x-2y+2z-x+3y-2z=18+14

7x+y=32

Substitute using x=2

7(2) + y = 32

y = 32 - 14

y = 18

Now substitute x and y for their respective values into Equation 1

2 + (-18) - z = 1

Simplify

-z = 19

z = -19

So :

x = 2, y = 18 , z = -19

The mistake of Elena is that the powers of the terms were not the same and the correct result is 3.83 ×10^6.

We have to note that the addition of the exponents is not just like the addition of the ordinary numbers that we know. The operation of the addition of the exponents would require an extra care to ensure that the powers of the two terms to be added is exactly the same.

In the work of Elena; (2.3×10^5)+(3.6×10^6)=5.9×10^6. This is wrong because the powers of the terms on the right hand side are not the same. As such the correct approach would be;

0.23 × 10^6 + 3.6×10^6 = 3.83 ×10^6

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Answer:

7^15

Step-by-step explanation:

7^5^3 = 7^(5*3) = 7^15

Answer:

V = V = 175 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V =pi ( 5)^2 ( 7)

V = 175 pi units^3

Answer:

Digit

Step-by-step explanation:

Answer:

Expanded Notation Form:

 30,000  

+ 9,000  

+ 0  

+ 0  

+ 5  

Expanded Factors Form:

 3 × 10,000  

+ 9 × 1,000  

+ 0 × 100  

+ 0 × 10  

+ 5 × 1  

Expanded Exponential Form:

3 × 104

+ 9 × 103

+ 0 × 102

+ 0 × 101

+ 5 × 100

Word Form:

Thirty-nine thousand five.

Step-by-step explanation:

from (google)