If the product of two numbers is zero then at least one of the numbers must be zero

Answers

Answer 1
This statement is true.

Related Questions

Jackie is wrapping a birthday present. The gift box is in the shape of a rectangular prism. It has a length of 8 inches, a width of 10 inches, and a height of 3 inches. What is the minimum amount of wrapping paper she will need to completely cover the box?

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If the condition means the surface area of the box, then it is 2*(8*10 + 8*3 + 10*3) = . . . 

The surface area of the box with dimensions AxBxC linear units is 2*(AB + AC + BC) square units. 


If the condition means conventional/regular rectangular piece of paper, then it is, probably, 
the rectangle of 8+3+3 = 14 inches wide and 3+10+3+10 = 26 inches long. 

Answer:

D

Step-by-step explanation:

does anyone understand how to do this? Solve r4<−5 or −2r−7 ≤ 3 . The solution is _or_

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Final answer:

The given problem consists of solving two inequalities. The first one, r4<−5, is invalid since the 4th power of any real number cannot be a negative number. For the second inequality, −2r−7 ≤ 3, the solution is r ≥ -5.

Explanation:

The subject of this question is Mathematics, specifically relating to solving inequalities. To answer your question, let's solve the two given inequalities independently. Starting with the first one, r4<−5, this inequality is invalid as the 4th power of any real number (r) cannot be less than -5. Moving on to the second inequality, −2r−7 ≤ 3, we first add 7 to both sides to isolate the term with the variable, giving us -2r ≤ 10. Dividing both sides by -2 (remember to flip the inequality sign when multiplying or dividing by a negative number) gives us r ≥ -5. Therefore, the solution to the given inequalities is r ≥ -5.

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Find the slope and y intercept

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Y-intercept is the y-value when x = 0. Let's consider coordinates (1, 11) and (2, 14). The x-value increased by 1 and the y-value increased by 3. If we assume this is linear, which it is, then the slope is 3. y = 3x + b. We solve b by plugging in a random set of coordinates, such as (1, 11).

11 = 3(1) + b
b = 11 - 3
b = 8

y = 3x + 8 is the equation, slope of 3 and y-intercept is 8.

F(x) =8+2x and g(x) =1/2x the value of f/g(5)

Answers

hello : 
 (f/g)(5) = (f(5))/(g(5)) = (-8+2(5))/((1/2))(5) = 2/(5/2)
(f/g)(5) = 4/5

Franklin waters' annual gross pay is $55,400. He takes a married exemption of $4,000. His state income tax rate is 3.5 percent. How much will he pay annually in state tax?

Answers

55,400-4,000= 51,400
41,000/ 3.5%= 1799

so he will pay 1,799$

It takes nim 2 2/3 hours to weave a basket. He worked Monday through Friday , 8 hours a day. How many baskets can he make?

Answers

he worked Monday thru Friday...thats 5 days....for 8 hrs a day.....thats (5 * 8) = 40 hrs

40 / (2 2/3) = 
40 / (8/3) = 
40 * 3/8 =
120/8 =
15 <=== he made 15 baskets

Answer:

15 baskets

Step-by-step explanation:

In order to solve this question, first we need to know the amount of hours that Nim was able to work.

If Nim worked Monday through Friday, 8 hours a day, then:

Monday to Friday = 5 days

1 day = 8 hours

5 days * 8 hours = 40 hours

Out of these forty hours, Nim needs 2 2/3 hours to weave a basket. Therefore:

40 / (2 2/3) =

40 / (8 /3) =

40 * 3/8 =

120/8 = 15

If there are 62 values in a data set, how many classes should be created for a frequency histogram?

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your answer would be 6

Solve x2 = 144

Select one:
a. 72
b. 12
c. ±12
d. −12

So I chose B which I thought was correct but it was wrong

Answers

The answer would be C. ±12 Your original answer is only half right. Both possible answers to the equation is 12 and -12, making your answer ±12 meaning either positive 12 or negative 12.

Power is the result of multiplying two numbers together. The solution of the x²=144 is ±12. The correct option is C.

What is power?

Power is the result of multiplying two numbers together such that both numbers are equal to each other. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

The solution of the given expression can be written as,

x² = 144

x² = 12×12  or -12×-12

x = √(12×12)  or √(-12×-12)

x = 12 or -12

x = ±12

Thus, the solution of the x²=144 is ±12. This is because the multiplication of two positive numbers is positive, also, the sum of the two negative numbers is positive.

Hence, the solution of the x²=144 is ±12

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PLEASE HEP ME ANSWER THIS REALLY HARD QUESTION

Answers

The negative sign reflects the graph over the x axis.

When the a value is positive, the parabola has a minimum and opens up. However, when the a value is negative, the parabola is upside down in comparison. It open downward and has a maximum point instead.

Final answer: A

Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years.

What is the youngest age Juanita's cousin can be?

Answers

x = y + 13   where x and y are Juanita and her cousin's age.

x + y >= 103

substituting for x:-

y + 13 + y >=103
2y >= 90
y >= 45

Answer is 45.

Answer:

45

Step-by-step explanation:

I can confirm, the first guy is right (I did the test)

whats the area of a cardboard In one carton if the length is 9 inches height is 9inches width is 4 inches and is 240 ml as well as also in a 946 ml container and a 1.89 L container?

Answers

Assuming that the cardboard forms a regular rectangle, therefore the area of the cardboard is simply taken to be the product of length and width. Therefore:

A = l w

A = (9 inches) * (4 inches)

A = 36 square inches = 36 inches^2

Translate each word phrase into an algebraic expression.



The perimeter of a rectangle 24 units long and w units wide.

Answers

that would be a rectangle with 24 on the side and w on the bottom, to find area you would have to do 24*w= a

what's 4/5 + 6/5 equals

Answers

We add the numerator of the two fractions; we do not need to worry about the denominator because they are the same. Thus, we obtain 10/5 = 2.

Suppose Mrs. Reyes would like to save Php 1,000.00 at the end of each month for 9 months in a fund that gives 5% per annum compounded monthly. How much would the value of her savings be after 7 months?

Answers

The rate is r = 5% = 0.05
Compounding interval, n = 12, monthly compounding
Therefore
r/n = 0.05/12 = 0.004167

The first deposit has a duration of 7 months. Its value is
a₁ = 1000*(1.004167)⁷

The second deposit has a duration of 6 months. Its value is
a₂ = 1000*(1.004167)⁶
and so on.

The values after each month from a geometric sequence with
a = 1000*(1.004167)
r = 1.004167

Over 7 months, the total sum is
[tex] \frac{1000*1.004167*(1-1.004167^{7} )}{1-1.004167} =7117.64[/tex]


Answer: Php 7,117.64

After 7 months her savings will be 7117.64.

Step-by-step explanation:

Given :

Rate is r = 5% = 0.05

Compounding interval, n = 12

Solution :

Now,

[tex]\rm \dfrac{r}{n} = \dfarc{0.05}{12}[/tex]

[tex]\rm \dfrac{r}{n} = 0.004167[/tex]

Now first deposit duration is 7 months. Therefore, its value is  [tex]\rm a_1 = 1000\times (1.004167)^7[/tex]

Now second deposit duration is 6 months. Therefore, its value is

[tex]\rm a_2 = 1000\times (1.004167)^6[/tex]

Now third deposit duration is 5 months. Therefore, its value is

[tex]\rm a_3 = 1000\times (1.004167)^5[/tex]

and so on.

The values are in geometric sequence where

[tex]\rm a = 1000\times (1.004167)[/tex]

[tex]\rm r = 1.004167[/tex]

We know that the sum of the geometric sequence is given by,

[tex]\rm S_n = \dfrac{a (r^n-1)}{(r-1)}[/tex]    ------ (1)

Now put the values of a and r in equation (1),

[tex]\rm S_7=\dfrac{1000\times(1.004167)((1.004167)^7-1)}{(1.004167-1)}[/tex]

[tex]\rm S_7 = 7117.64[/tex]

After 7 months her savings will be 7117.64.

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A toy factory creates handmade train sets. One train car takes 0.4 hours to construct and 0.6 hours to paint. A section of wooden track requires 0.2 hours to construct and 0.1 hours to paint. A full train set with x train cars and y sections of wooden track takes 5.2 hours to construct and 4.2 hours to paint. Which system of equations can be used to find the number of train cars and number of sections of wooden track in a full train set?

Answers

x = train cars, y = tracks

0.4x + 0.2y = 5.2.....this one deals with the constructing
0.6x + 0.1y = 4.2 ....this one deals with the painting
Final answer:

To find the number of train cars and sections of wooden track in a full train set, we can set up a system of equations. The equations are 0.4x + 0.2y = 5.2 and 0.6x + 0.1y = 4.2.

Explanation:

To find the number of train cars and number of sections of wooden track in a full train set, we can set up a system of equations based on the given information.

Let's use x to represent the number of train cars and y to represent the number of sections of wooden track.

The time to construct 1 train car is 0.4 hours, so the time to construct x train cars is 0.4x hours.The time to paint 1 train car is 0.6 hours, so the time to paint x train cars is 0.6x hours.The time to construct 1 section of wooden track is 0.2 hours, so the time to construct y sections of wooden track is 0.2y hours.The time to paint 1 section of wooden track is 0.1 hours, so the time to paint y sections of wooden track is 0.1y hours.The total time to construct a full train set is 5.2 hours, so we have the equation 0.4x + 0.2y = 5.2.The total time to paint a full train set is 4.2 hours, so we have the equation 0.6x + 0.1y = 4.2.

The system of equations that can be used to find the number of train cars and number of sections of wooden track in a full train set is:

0.4x + 0.2y = 5.2

0.6x + 0.1y = 4.2

simplify

3m^-2
over
5n^-3

Answers

3m^-2           3n^3
---------    =  -----------
5n^-3            5m^2

hope it helps
reember
[tex]\frac{x^m}{x^n}=x^{m-n}[/tex]
[tex]x^{-m}=\frac{1}{x^m}[/tex]


[tex]\frac{3m^{-2}}{5n^{-3}}=[/tex]
[tex]frac{\frac{3}{m^2}}{\frac{5}{n^3}}=[/tex]
[tex]\frac{3n^3}{5m^2}[/tex]

how do I do this problem ??

Answers

see attached picture for solution:

We have 5 dice, 4 of these dice are the same, the fifth is not. find it!

Answers

The dice that we are examining are shown in the attached picture.

Now, notice the pattern shown on each dice.
You will find that the pattern is 6,5 and 4.

Now, notice the way that this pattern is ordered. You will find that:
for dice a,b,c and e : the pattern is shown in a clockwise direction order
for dice d: the pattern is shown in an anti-clockwise direction order.

This means that: dice D is the different one

The dice are illustrations of patterns

The fifth die that is different from the other four dice is die D

From the question, we have the following highlights

The pattern on all the 5 dice include 4, 5 and 6When the patterns are ordered, dice A, B, C and E have their pattern to be in a clockwise directionDie D has its pattern to be in a counterclockwise direction

Hence, the fifth die that is different from the other four dice is die D

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How do you make $2.161616 as a fraction and a mixed number

Answers

Essentially, if you want something repeating, you want a 9 in your denominator - 0.22 repeating would be 2/9 or 22/99 and 0.16 repeating would be 16/99. Therefore, 2+16/99 is a mixed number and (198+16)/99=214/99 as a fraction

Given: quadrilateral ABCD inscribed in a circle Prove: ∠A and ∠C are supplementary, ∠B and ∠D are supplementary Let the measure of = a°. Because and form a circle, and a circle measures 360°, the measure of is 360 – a°. Because of the ________ theorem, m∠A = degrees and m∠C = degrees. The sum of the measures of angles A and C is degrees, which is equal to , or 180°. Therefore, angles A and C are supplementary because their measures add up to 180°. Angles B and D are supplementary because the sum of the measures of the angles in a quadrilateral is 360°. m∠A + m∠C + m∠B + m∠D = 360°, and using substitution, 180° + m∠B + m∠D = 360°, so m∠B + m∠D = 180°. What is the missing information in the paragraph proof?

Answers

Quadrilateral ABCD is inscribed in a circle. Let the measure of arc BAD be a°. Arcs BCD and BAD form a circle  and a circle measures 360°, then  measure of arc BCD is 360°-a°.

The inscribed angle theorem states that an angle  inscribed in a circle is half of the central angle  that subtends the same arc on the circle.

Because of the Inscribed angle theorem,

[tex]m\angle A=\dfrac{a^{\circ}}{2};[/tex]

[tex]m\angle C=\dfrac{360^{\circ}-a^{\circ}}{2}.[/tex]

The sum of the measures of angles A and C is

[tex]\dfrac{a^{\circ}}{2}+\dfrac{360^{\circ}-a^{\circ}}{2}=180^{\circ}.[/tex]

Therefore, angles A and C are supplementary, because their measures add up to 180°.

Angles B and D are supplementary, because the sum of the measures of the angles in a quadrilateral is 360°.

m∠A + m∠C + m∠B + m∠D = 360°,

and using substitution,

180° + m∠B + m∠D = 360°, so m∠B + m∠D = 180°.

Answer: inscribed angle theorem

Answer:A

Step-by-step explanation:

Inscribed angle

Pls help me out here hope the points are good (no scams pls)

Answers

6/3 =2

15/3 =5

6/15 = 2/5


8/4 =2

20/4 =5

8/20 = 2/5


answer is B 2/5

answer is b. 2/5

6/15 = 2/5 (divide by 3)
and
8/20 = 2/5 (divide by 4)

your job is to design a staircase that has a total rise of 11 feet and meets these design guidelines:
1) the slope of the staircase is between 0.55 and 0.85
2) twice the rise plus the run must be between 24 and 25 inches
3) there can be no irregular steps
4) each step must be the same size
how many risers and treads?
what size are they?
EXPLAIN DESIGN AND INCLUDE CALCULATIONS.
show how each design guideline is met.

Answers

Given that the total rise of the staircase is 11 feet and the slope of the staircase is between 0.55 and 0.85

Then the total run of the stair case is between
[tex] \frac{11}{0.85} = 12.94 \ feet \ and \ \frac{11}{0.55}=20 \ feet[/tex] . . . (1)

Given that twice the rise plus the run must be between 24 and 25 inches

Let the size of each run be x and the size of each rise, y, then
24 / 12 < x + 2y < 25 / 12

2 < x + 2y < 2.08 . . . (2)

Also, let the number of risers and treads be n, then
12.94 < nx < 20 . . . (3)
and
ny = 11 . . . (4)

From (2), 2 < x + 2y < 2.08, thus, we have
2 - 2y < x < 2.08 - 2y . . . (5)

Multiplying through by n, we have:
2n - 2ny < nx < 2.08n - 2ny . . . (6)

From (4), ny = 11, so we have
2n - 2(11) < nx < 2.08n - 2(11)
2n - 22 < nx < 2.08n - 22 . . . (7)

Comparing (3) and (7), we have
2n - 22 = 12.94 or 2.08n - 22 = 20

2n = 12.94 + 22 = 34.94 or 2.08n = 20 + 22 = 42

n = 17.47 or 20.19

Thus n is approximately 17 or 20.

From (4), ny = 11, so we have
y = 11/17 or 11/20
y = 0.65 or 0.55

From (2), 2 < x + 2y < 2.08, so we have
2 < x + 2(0.65) < 2.08
2 < x + 1.3 < 2.08
0.7 < x < 0.78

or
2 < x + 2(0.55) < 2.08
2 < x + 1.1 < 2.08
0.9 < x < 0.98

Therefore, we can conclude that we will have 20 risers and treads with each riser measuring 6.6 inches and each tread measuring 11 inches.

explain how you can tell the frequency of a data value by looking at the dot plot

Answers

By the size of the cluster for the value.

I’m stuck on this, what would be the answer?

Answers

It translated down to -2 and rotated to the right

It would be a rotation clockwise around the origin for 90 degrees (I think), and then a reflection across the X axis.

Why are volumetric measurements defined as a cubed unit?

Answers

A unit, such as a cubic foot, or a system of units used to measure volume or capacity
When you are measuring a volumetric figure, you use the cubic units as a measurements because it is the most precise way to figure out the measurements of any volumetric figure.

What is the answer and steps?

Answers

see attached picture for answer:

WHAT THE VALUE OF 12.5X10 7

Answers

12.5*107 =125,000,000 or 125 million. Actually, it should have been written as 1.25*108.
the answer is 133.75 i believe 

How to solve quadratic inequalities algebraically?

Answers

Make the boundary points solid circles if the original inequality includes equality; otherwise, make the boundary points open circles.Select points from each of the regions created by the boundary points. Replace these “test points” in the original inequality.If a test point satisfies the original inequality, then the region that contains that test point is part of the solution.Represent the solution in graphic form and in solution set form.Example 1

Solve ( x – 3)( x + 2) > 0.

Solve ( x – 3)( x + 2) = 0. By the zero product property, 

Make the boundary points. Here, the boundary points are open circles because the original inequality does not include equality (see Figure 1).

Select points from the different regions created (see Figure 2).

See whether the test points satisfy the original inequality.

Since x = –3 satisfies the original inequality, the region x < –2 is part of the solution. Since x = 0 does not satisfy the original inequality, the region –2 < x < 3 is not part of the solution. Since x = 4 satisfies the original inequality, the region x > 3 is part of the solution.

Represent the solution in graphic form and in solution set form. The graphic form is shown in Figure 3.

The solution set form is { x| x < –2 or x > 3}.

Figure 1. Boundary points.Figure 2. Three regions are created.Figure 3. Solution to Example

Identify the slope of the line shown in the graph below: Graph of a vertical line with an x intercept of negative 1 slope = -1 slope = 0 slope = undefined slope = 1

Answers

vertical lines have undefined slopes

Slope is Undefined because it's just a vertical line and it's not angled...

What is the value in dollars of a stack of dimes that is 10 cm high? (1mm = 1 dime?

Answers

$10 because:

Since a dime is about 1 mm thick (10mm equals 1 cm), 10 cm high would be 100 dimes.

10 dimes = $1
$1 times 10 = $10

The value in dollars of a stack of dimes that is 10 cm high is $10.

What are nickles, dimes, quarters and cents?

A dollar is further divided into some majorly used parts as:

A cent = 100th part of a dollar = $1/100 = $0.01

A nickle= 20th part of a dollar = $1/20 = $0.05

A dime = 10th part of a dollar = $1/10 = $0.10

A quarter = 4th part of a dollar = $1/4 = $0.25

If each dime is 1 mm then 10 dimes will be 1 cm high;

1 dime / 1 mm = x dimes / 10 mm Cross multiply

1 dime * 10 mm = x * 1 mm

10 dimes = x The mm

Since a dime is about 1 mm thick (10mm equals 1 cm), 10 cm high would be 100 dimes;

10 dimes = $1

$1 times 10 = $10

Hence, The value in dollars of a stack of dimes that is 10 cm high is $10.

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