what is the length of the diagnal of a cube with a side length of 5 cm

Answer: parallel is 1 and perpendicular is -1

Step-by-step explanation:

parallel lines have the same slope and perpendicular have the opposite and negative of the slope.

Answer:

$10.07

Step-by-step explanation:

Well you have to subtract 53.43 from 33.29 which equals 20.14 then you have to divide 20.14 by 2 and you get $10.07.

The average user spends approximately $3.65 per year on toothpaste.

To determine whether US retail toothpaste demand looks like a D, we need to understand what a D-shaped demand curve represents. A D-shaped demand curve is characterized by a small number of consumers who are willing to pay a high price for a product, while the majority of consumers are only willing to pay a low price. This type of demand curve is often seen in luxury goods or products with high status value.

In the case of toothpaste, it is unlikely that the demand curve would be D-shaped. This is because toothpaste is a necessity item that is used by the vast majority of Americans on a daily basis.

According to the given information, 90% of Americans use an average of 0.5 grams per day, indicating that there is a large and consistent demand for toothpaste.

To estimate how much the average user spends on toothpaste per year, we can use the following formula:

Annual toothpaste expenditure = (Daily usage in grams) x (Price per gram) x (Days in a year)

Assuming an average price of $0.02 per gram of toothpaste, the annual expenditure for an individual who uses 0.5 grams per day would be:

Annual toothpaste expenditure = (0.5 g/day) x ($0.02/g) x (365 days/year) = $3.65

Therefore, the average user spends approximately $3.65 per year on toothpaste.

In conclusion, based on the fact that toothpaste is a necessity item with consistent and widespread usage among Americans, it is unlikely that US retail toothpaste demand looks like a D.

To know more about demand curve refer here:

https://brainly.com/question/13131242#

#SPJ11

Answer:

If 20 more soldiers join it would last 48 days

Step-by-step explanation:

if 80 soldiers need 84000 food for 60 days it means that in 60 days one soldier eats 84000/80= 1050 each

then 1050/60=17.5 meaning they need 17.5 food a day each,

adding 20 soldiers means 80+20= 100 soldiers

100*17.5=1750 food is eaten every day

84000/1750= 48 which means that 100 soldiers will eat 84000 in 48 days

Answer:

photo math is very helpful for math really try it

Answer:

speed=distance/time

so..

8=distance/15.

120km= distance

Step-by-step explanation:

I believe you just preferred the answer but not how i got it..But even so. Wish you luck.

Answer:  y=mx+b...... y= 2x+1

The 4 rules of Congruence that are used in proving two triangles congruent are (SSS) Side - Side - Side , (SAS) Side - Angle - Side , (ASA) Angle - Side - Angle and (RHS) Right Angle - Hypotnuse - Side .

The Two Triangles are called Congruent if their sides have same length and angles have same measure.

The Four rules by which we can prove 2 triangles as congruent are :

(i) (SSS) Side - Side - Side ,

The 2 triangles are said to be congruent by SSS rule. If all 3 sides of one triangle are equivalent to the corresponding 3 sides of second triangle .

(ii) (SAS) Side - Angle - Side ,

The 2 triangles are said to be congruent by SAS rule if , any 2 sides and the angle included between sides of one triangle is equivalent to corresponding 2 sides and the angle between sides of second triangle .

(iii) (ASA) Angle - Side - Angle ,

The 2 triangles are said to be congruent by SAS rule if any 2 angles and the side included between angles of one triangle is equivalent to  corresponding 2 angles and side included between angles of second triangle .

(iv) (RHS) Right Angle - Hypotnuse - Side ,

The 2 triangles are said to be congruent by SAS rule if , hypotenuse and a side of a right- angled triangle is equivalent to hypotenuse and side of  second right- angled triangle .

Learn more about Congruence here

https://brainly.com/question/29548914

#SPJ4

The 4 rules of congruence

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

SSS (Side-Side-Side) The two triangles are said to be congruent if the three sides of one triangle are equivalent to the corresponding three sides of the second triangle.

According to the SAS (Side-Angle-Side) rule, two triangles are said to be congruent if any two sides and any angle included between the sides of one triangle are comparable to the corresponding two sides and any angle included between the sides of the second triangle.

The two triangles are said to be congruent by the ASA (Angle-Side-Angle) rule if any two angles and the side included between the angles of one triangle are comparable to the corresponding two angles and side included between the angles of the second triangle.

AAS (Angle-Angle-Side) (Angle-Angle-Side)

Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

Learn more about Congruence here

brainly.com/question/29548914

#SPJ4

Answer: A & C

Step-by-step explanation: 3 + 4 = 7     5 -3 = 2

Answer:

x = 2, use formula of area of triangle by talking x as base and 5 as height.

Based on the description provided, the college major least likely to be Tom's is Engineering.

Tom is portrayed as a soft-spoken individual with a passion for reading about the history of ancient civilizations and discussing book themes in social settings. Engineering majors typically focus on technical skills, problem-solving, and practical applications rather than the study of history and social themes. While Engineering can certainly be combined with an interest in history and civilization, it is less likely to align with Tom's specific interests and strengths.

Majors such as East Asian Studies, Political Science, History, or Psychology would be more suitable for someone who enjoys delving into historical topics and engaging in discussions about book themes. These majors offer a closer connection to Tom's intellectual pursuits and desire for social interaction around those subjects.

Learn more about college here:

https://brainly.com/question/16942544

#SPJ11

Answer:

a

Step-by-step explanation:

Answer: 3 ounces

Step-by-step explanation:

1/4=2/8

5/8 + 2/8 = 7/8

7/8 = x/24

8x3= 24

7x3=21

24-21=3

Answer:

3 ounces remain

Step-by-step explanation:

5/8 + 1/4 = ?

5/8 + 2/8 = ? (find common denominators)

= 7/8 of the bucket

7/8 = ?/24 (trying to find how many ounces is 7/8 of the bucket)

7/8 = 21/24 (multiple 7 with 3)

24 - 21 = ? (trying to find how many ounces are left)

= 3 ounces

Given:

Nuts = $2.50

Cereal mixture = $1

Find -: How much each should be added.

Sol:

Obtain = 60 kg.

Let nuts = x kg

Cereal = y kg

To obtain 60 kg means:

Pricing at $1.90 per kg means:

Put the value of "y" then:

Then the value of "y" is:

So,

In the mixture 36 kg of nuts and 24 kg of cereal.

Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

Answer:

x = 17.51

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 35 = x/25

25 tan 35 =x

x=17.50518

The slope in the context of predicting verbal SAT scores based on math SAT scores indicates the change in the verbal score for each unit increase in the math score.

In this survey of statistics undergraduate students at Prosperity University, the slope represents the rate of change in the verbal SAT score for every one-point increase in the math SAT score. A positive slope suggests that as the math score increases, the verbal score also tends to increase. The magnitude of the slope indicates the strength of the relationship between the two variables. A larger slope indicates a stronger positive association, meaning that a one-point increase in the math score is associated with a larger increase in the verbal score. Conversely, a negative slope would imply an inverse relationship, where an increase in the math score is associated with a decrease in the verbal score.

Learn more about SAT score here

brainly.com/question/32449961

#SPJ11

What is the interpretation of the slope in the context of predicting the verbal SAT score based on the math SAT score, according to the survey conducted among undergraduate students majoring in statistics at Prosperity University?

Answer:

x = 35

Step-by-step explanation:

\(40 + 2x + 2x = 180\)

Subtract 40 on both sides.

\(2x + 2x = 140\)

\(4x = 140\)

Divide with 4 on both sides.

\(x = 35\)

Answer:

Option (2)

Step-by-step explanation:

From the picture attached,

When the given shape is rotated about the axis 'a',

Triangle ABC forms a 3-D figure of a cone.

Segment AB is the diameter of the circular base and CD is the height of the cone.

Therefore, Option (2) CONE will be the answer.

Answer:

True

Step-by-step explanation:

Since both sides are equal, we have shown that ∑(i=1 to 6) (dx_i + e) = d(∑\((i=1 to 6) x_i\)) + 6e. This represents the summation of the terms \((5x_3 + i)\) for i = 1 to 6.

To show that ∑(i=1 to 6) \((dx_i + e)\)= d(∑(i=1  \(x_i\)) + 6e, we can expand both sides and compare.

Left-hand side:

∑\((i=1 to 6) (dx_i + e) = (dx_1 + e) + (dx_2 + e) + (dx_3 + e) + (dx_4 + e) +\)(dx_5 + \(e) + (dx_6 + e)\)

                        = \(dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6 + e + e + e + e\)+ e + e

                        = \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6) + 6e\)

Right-hand side:

d(∑\((i=1 to 6) x_i)\)+ 6e = d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\)+ 6e

Now, let's compare the two sides:

Left-hand side: \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6)\) + 6e

Right-hand side: d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\) + 6e

Since both sides are equal, we have shown that ∑\((i=1 to 6) (dx_i + e)\) = d(∑(i=1 to 6)\(x_i)\) + 6e.

To represent the equation\((5x_3 + 4) + (5x_3 + 5) + (5x_3 + 6) + (5x_3 +\)7) + \((5x_3 + 8) + (5x_3 + 9)\) using a Sigma operator notation, we can write it as:

∑\((i=1 to 6) (5x_3 + i)\)

This represents the summation of the terms \((5x_3 + i)\)for i = 1 to 6.

Learn more about summation here:

https://brainly.com/question/29334900

#SPJ11

If the initial eigenvectors corresponding to distinct eigenvalues are different, then the cycles of generalized eigenvectors for each eigenvalue will be disjoint.

Let's assume that γi and γj are cycles of generalized eigenvectors corresponding to eigenvalues λi and λj, respectively. Since the initial eigenvectors are distinct, λi ≠ λj.

Now, let's suppose there exists a vector v that belongs to both cycles γi and γj. Then, by definition, we have t(v) = λi(v) and t(v) = λj(v). Since λi ≠ λj, this implies that v is a common eigenvector for two distinct eigenvalues, which contradicts the assumption that the initial eigenvectors are distinct.

Therefore, our assumption that there exists a vector v belonging to both γi and γj is false. Thus, the cycles γi and γj are disjoint.

By extension, we can apply the same reasoning to any pair of cycles γi and γj where i ≠ j, ensuring that all cycles corresponding to distinct eigenvalues will be disjoint.

Learn more about eigenvectors here:

https://brainly.com/question/31669528

#SPJ11

Answer:

196,836,571.6 miles²

Step-by-step explanation:

the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere

surface area of a sphere = 4πr²

π= 3.14

r = 7,917.5 / 2 = 3958.75 miles

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

4 x 3.14 x 3958.75² = 196,836,571.6 miles²

P(A AND B) is approximately 0.101 (rounded to three decimal places).

Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event.

To find P(A AND B), we can use the conditional probability formula:

P(A AND B) = P(A|B) * P(B)

Given:

P(A|B) = 0.22

P(B) = 0.46

Plugging in the values:

P(A AND B) = 0.22 * 0.46

Calculating the result:

P(A AND B) = 0.1012

Know more about conditional probability here;

https://brainly.com/question/10567654

#SPJ11

Answer:

5.85

Step-by-step explanation:

Jusy use the calculator

Answer:

They aren't

Step-by-step explanation:

Answer:

Step-by-step explanation:

first you put an equal sign in between both of the expressions, then you find X which is 0

7x-4=6x-4

7x - 6x=4 - 4

x=0

Now change x in each expression into 0

7[0] - 4= -4

6[0] - 4= -4

This show us that both of the expressions are equal.

From the actual value and the approximated value, we get the absolute error as follows:

Error = |Actual value - Approximated value|

= |0.209904 - 0.204005|

= 0.005899

Hence, we have an error of magnitude less than 0.000005.

We are to approximate the value of the integral given by:∫0.4(1+x^4)dx, with an error of magnitude less than 0.000005. Approximating using Simpson's rule, we have;

h = (0.4 - 0)/2

= 0.2

∴ x0 = 0,

x1 = 0.2,

x2 = 0.4f(x0)

= f(0) = 1

f(x1) = f(0.2)

= 1.0016f(x2)

= f(0.4)

= 1.0321

Substituting the values above into Simpson's rule formula, we get:

S = h/3 [f(x0) + 4f(x1) + f(x2)]S

= 0.2/3 [1 + 4(1.0016) + 1.0321]

S = 0.20400466667

Rounding off to 6 decimal places, we get;

S ≈ 0.204005The actual value of the integral can be obtained as follows:

F(x) = ∫ (1 + x^4) dx

= x + (1/5)x^5F(0.4) - F(0)

= 0.4 + (1/5)(0.4)^5 - 0

= 0.209904

From the actual value and the approximated value, we get the absolute error as follows:

Error = |Actual value - Approximated value|

= |0.209904 - 0.204005|

= 0.005899

Hence, we have an error of magnitude less than 0.000005.I hope you find this helpful.

To Know more about Simpson's rule visit:

brainly.com/question/30459578

#SPJ11

The radius of convergence of a power series is given by the formula:  

r = 1/lim sup |an|^(1/n)

In this case, we have a power series of the form

∑ (-1)^n * xn/n^9

Using the root test, we have:

lim sup |(-1)^n * xn/n^9|^(1/n) = lim sup (|x|/n^9)^(1/n) = |x|lim sup n^(-9/n)

Note that lim sup n^(-9/n) = 1, so we have:

r = 1/lim sup |(-1)^n * xn/n^9|^(1/n) = 1/|x|

Therefore, the radius of convergence is 1/|x|.

Learn more about convergence here: brainly.com/question/31060020

#SPJ11