3. Emma said that when you multiply three negative decimals , the product will be positive . Use these numbers to answer the questions: -2.5,-3.8,-2.; .7, - 4.5

Part A: Is Emma's statement always true, sometimes true, or always false? Write two equations to support your answer.

Part B: Write a rule for multiplying three negative decimals .

Part C Emma changed her statement to say that when you multiply two negative decimals and a positive decimal the product will be positive Emma's new statement always true , sometimes true or always false ? Write two equations to support your answer

Answers

Answer 1

Using multiplication signal rules, it is found that:

A: Emma's statement is always false.

B: The result is always negative.

C: Emma's statement is always true.

The rule used for this exercise is as follows:

When two numbers of different signals are multiplied, the result is negative.When two numbers have the same signal, the result is positive.

Part A:

Three numbers are multiplied, all negative.The multiplication of the first two result in a positive number.Then, this positive number is multiplied by a negative number, and the result will be negative, which mean that Emma's statement is always false.

Two examples are:

\(-2.5(-3.8)(-2) = 9.5(-2) = -19\)

\(-2.5(-2)(-0.7) = 5(-0.7) = -3.5\)

Part B:

The rule is that the result is always negative.

Part C:

The multiplication of the first two negative numbers result in a positive number.Then, this positive number is multiplied by another positive number, and the result will be positive, which mean that Emma's statement is always true.

Two examples are:

\(-2.5(-3.8)(2) = 9.5(2) = 19\)

\(-2.5(-2)(0.7) = 5(0.7) = 3.5\)

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Related Questions

If you receive 25\% off an item costing $22.00, how much money do you save?

Answers

Answer:

5.50

Step-by-step explanation:

They save 5.50

Answer:

$5.50

Step-by-step explanation:

Hello! This is an easy one. If we are trying to find how much she is saving all we would need to do is multiply.

$22.00 * 25% = $5.50

If we are trying to find out the total with the discount all we would need to do is subtract.

22 - 5.5 = $16.50

Hope this helps!!

HELP PLEASE! Which reason is the justification for the statement that angle A ≅ angle B?
A) Vertical angles are congruent.
B) Linear angles are equal.
C) Intersecting lines form opposing angles.
D) Lines intersect at one point.

HELP PLEASE! Which reason is the justification for the statement that angle A angle B?A) Vertical angles

Answers

A) Vertical angles are congruent

Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image to find the answer
10000 n
4000 n
24000 n
2700 n

Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image

Answers

Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough

It

Step-by-step explanation:

Answer:

10,000 i think....i hope this helps

Step-by-step explanation:

A group of friends’ dinner bill is $82.95 They want to leave a 15% tip. What is their total dinner bill, including tip?

Answers

The amount of total dinner bill, including tip is found to be $92.40.

Explain about the percentage of the number?

Percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole.

When expressing a sum as a percentage, 100 equal components are regarded to make up the whole. To indicate that a number is a percentage, use the sign %.

The cost of a meal for a few pals is $82.95 They would like to tip 15%.

So,

Amount of tip:

15 % of 82.95 = 15*82.95 / 100

15 % of 82.95 = 12.4425

Total cost =  82.95 + 12.4425

Total cost =  95.3925

Total cost =  $92.40

Thus, the amount of total dinner bill, including tip is found to be $92.40.

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GUYS HELP!!!!!

Given the speeds of each runner below, determine who runs the fastest.
Liz runs 10 feet per second.
Noah runs 480 feet in 35 seconds.
Brooke runs 1 mile in 421 seconds.
Zach runs 540 feet in 1 minute.

Answers

Answer:

noah

Step-by-step explanation:

liz = 10 feet/second

noah = 13.714 feet/second

brooke = 12.541 feet/second

zach = 9 feet/second

Which of the following statements are not true regarding functions?
Check all that apply.
A. A sequence is a function whose domain is the set of natural
numbers
OB. A function is a relation in which each value of the input variable is
paired with at least one value of the output variable.
I c. The horizontal line test may be used to determine whether a
function is one-to-one.
O D. The vertical line test may be used to determine whether a function
is one-to-one.

Answers

Answer:

(A) A sequence is a function whose domain is the set of natural

numbers.

(C) The horizontal line test may be used to determine whether a

Step-by-step explanation:

Vertical and horizontal line test can be used to find out whether the function, not one-to-one. The test is done by making a horizontal line (for horizontal line test) or vertical line( for vertical line test). If there are no 2 or more points of the graph that touch the line in both tests, then the function would be one-to-one

Construct a​ stem-and-leaf plot of the test scores 67 comma 72 comma 86 comma 75 comma 89 comma 89 comma 87 comma 90 comma 99 comma 100. How does the​ stem-and-leaf plot show the distribution of these​ data?

Answers

Answer:

Given the values: 67,72,86,75,89,89,87 ,90 ,99 and 100.

To create a stem and leaf plot

We place the first digit in the Stem Column and the Second digit in the plot column.

Stem-and-leaf plot of the test scores

\(\left|\begin{array}{c|ccccccc}Stem&Leaf\\---&--&--&--&--\\6&7&\\7&2&5\\8&6&7&9&9\\9&0&9\\10&0\end{array}\right|\)

The stem and leaf plot enables us at a glance to see the values or range of the values that are most prevalent.

From the above stem and leaf plot, we can see that values in the range of 80-89 are most prevalent.

is this right? Please tell me.... ​

is this right? Please tell me....

Answers

Answer:

yes

Step-by-step explanation:

Answer:

YES IT IS!!

Step-by-step explanation:

!!

13. River claims that he can write two different proportions to find x. What are the two proportions?

13. River claims that he can write two different proportions to find x. What are the two proportions?

Answers

16/x=12/9 is the proportional equation to find the value of x and the value of x is 12.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The bases and hypotenuse of the triangle are in proportion.

16/x=12/9 is one method to find the value of x

16×9=12x

144=12x

Divide both sides by 12

x=12

The other proportional equation is x/9=16/12

12x=144

x=12

Hence,16/x=12/9 is the proportional equation to find the value of x and the value of x is 12.

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Internet providers: For the data in Exercise 48, estimate the number of Internet plans whose cost is

a., greater than $52.43

b., less than $87.74

c., between $52.43 and $64.20

Answers

The answer is c , between 52.43 and 64.20

A right triangle, DEF, is shown below.

What is sin FDE?

A right triangle, DEF, is shown below.What is sin FDE?

Answers

Answer:

22.6°

Step-by-step explanation:

Reference angle = <FDE

Side opposite to <FDE = 5

Hypotenuse = 13

The trigonometric ratios to apply is:

\( sin(\theta) = \frac{opp}{hyp} \)

Plug in the values

\( sin(\angle FDE) = \frac{5}{13} \)

\( sin(\angle FDE) = 0.3846 \)

\( \angle FDE = sin^{-1}(0.3846) \)

\( \angle FDE = 22.6 \) (nearest tenth)

Find the slope of the line passing through the points (-9, 3) and (-9, -2).

Answers

Answer:

Undefined slope

Step-by-step explanation:

To calculate the slope between two points, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

The formula for the slope m between points (x₁, y₁) and (x₂, y₂) is: \(m=\frac{y_2-y_1}{x_2-x_1}\) , which is also known as "rise over run".

Here, we have the points (-9, 3) and (-9, 2).

x₁ = -9,  y₁ = 3,  x₂ = -9,  y₂ = -2. We can plug these values in to the "rise over run" equation:

\(m=\frac{-2-3}{-9-(-9)}\)

\(m=\frac{-5}{0}\)

This is a vertical line.

The slope of a line cannot be undefined (a vertical line), because the x-coordinate never changes no matter what the y-coordinate is. Thus, the slope is undefined for the line passing between these two points.

Is the point (5, 2) a solution to the system? Solve algebraically, not graphically. Show all work.​

Is the point (5, 2) a solution to the system? Solve algebraically, not graphically. Show all work.

Answers

Answer:

(5,2) is a solution

Step-by-step explanation:

To test if an ordered pair is a solution to a system of equations you must substitute the variables into each equation. If all of the equations are true, then the ordered pair is a solution

Equation 1:

y < x - 1

plug in 5 for x and 2 for y

(2) < (5) - 1

2 < 4 True!

Equation 2:

y > -x + 2

plug in 5 for x and 2 for y

2 > -(5) + 2

2 > -5 + 2

2 > -3 True!

For many important processes that occur in the body, direct measurement of characteristics of the process is not possible. In many cases, however, we can measure a biomarker, a biochemical substance that is relatively easy to measure and is associated with the process of interest. Bone turnover is the net effect of two processes: the breaking down of old bone, called resorption, and the building of new bone, called formation. A biomarker for bone formation measured was osteocalcin (OC), measured in the blood. The units are nanograms per milliliter (ng/ml). For the 31 subjects in the study the mean was 33.4 ng/ml. Assume that the standard deviation is known to be 19.6 ng/ml.

Required:
Give the margin of error and find a 95% confidence interval for the mean TRAP amount in young women represented by this sample.

Answers

Answer:

The margin of error is  \(E = 6.9 \)

The 95% confidence interval is  \( 26.5  <  \mu < 40.3 \)  

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  31

     The mean is  \(\mu = 33.4 \ ng/ml\)

      The standard deviation is  \(\sigma = 19.6 \ ng/ml\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>  \(E = 1.96  *  \frac{19.6  }{\sqrt{31 } }\)

=>  \(E = 6.9 \)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  \mu <  \=x  +E\)

=> \( 33.4  - 6.9 <  \mu < 33.4  +  6.9 \)

=> \( 26.5  <  \mu < 40.3 \)  

JUST LOOK AT PICTURE THANK YOUUU

Main / sem
25.1.2 Exam: Semester Exam
A circle is sliced into 16 pieces and rearranged into a shape that looks like a
parallelogram. The dashed line indicates the base of the shape. Which
statement is correct?
O A. The base of the parallelogram is approximately equal to the
circumference of the circle.
O B. The base of the parallelogram is approximately equal to half the
circumference of the circle.
O C. The base of the parallelogram is approximately equal to the
diameter of the circle.
O D. The base of the parallelogram is approximately equal to the radius
of the circle
PREVIOUS

JUST LOOK AT PICTURE THANK YOUUUMain / sem25.1.2 Exam: Semester ExamA circle is sliced into 16 pieces

Answers

Answer:B half of the circumference

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In round 1 in a game, Daniel earned 8.925 points. In round 2 he earned 11.6 points, and in round 3 he earned twice as many points as he did in round 2.

Answers

Answer:

23.2 points

Step-by-step explanation:

If the question is how many points did he earn in round 3, this is the answer.

Hope this helps, have a great day :)

2) 3+ p= 8



I need help pls I don’t get it

Answers

Answer:

p=5

Step-by-step explanation:

3+ p= 8

subtract 3 on both sides

p=5

hope that helps :)

in the illustration below ,The two lights are designed tc pperate at 6 volts, 5 amps each,
5
f the power source is12 volts, what will be the value of the Resistor?
Round to the tenth position. (0.00)

Answers

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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The graph shows information about the
height of the tide over 12 hours.
How fast is the depth changing at 11:00?
Give your answer as a fraction in its
simplest form.

The graph shows information about theheight of the tide over 12 hours.How fast is the depth changing

Answers

According to the information we can infer that the change between 11 and 12 is 1.3 m/hr

How much does the height of the wave change between 11 and 12?

To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:

5.2 - 3.9 = 1.3

According to the above, we can infer that the change between these two hours is 1.3 m/hr.

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least to greatest. 3/20 45% 1/5 7.5% Someone please answer this I need it ASAP​

Answers

Answer:

3/20, 7.5%, 1/5, 45%

For Zendaya's lemonade recipe, 3 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?

Answers

The unit rate of cups of lemonade per lemon is in the ratio of 6:1.

What is the unit rate?

The unit rate is the ratio of two or more quantities or values that are compared to one another.

Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.

Zendaya's Lemonade Recipe:

The number of lemons required to make 18 cups of lemonade = 3 lemons

Rate of lemonade per lemon = 18/3 = 6/1

Ratio = 6:1 or 1:6

Conversely, the rate of lemon per cup of lemonade = 1/6

Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.

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The following data set represents the ACT scores for students in Mrs. Smith's collegescience class.18 32 16 2319 21 28 2922 30 19 21What is the range for the ACT scores for the class?

Answers

The range is the difference between the greatest and the smallest number, so it is 32 - 16 = 16.

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 100 students in the school. There are 28 students in the Spanish class, 21 in the French class, and 12 in the German class. There are 9 in both Spanish and French, 5 in both Spanish and German, and 5 that are in both French and German. There are 3 students taking all 3 classes.

Required:
a. If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
b. If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?
c. If 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?

Answers

Answer:

0.55 ; 0.32 ; 0.7

Step-by-step explanation:

Let :

Spanish = S ; French = F ; German = G

SnFnG = 3

(SnF) only = 9 - 3 = 6

(SnG) only = 5 - 3 = 2

(FnG) only = 5 - 3 = 2

S only = 28 - (6+3+2) = 17

F only = 21 - (2+3+2) = 14

G only = 12 - (6+3+2) = 1

Student not taking any of the classes :

(100 - (17+14+1+2+2+6+3))

100 - 45 = 55

A.) P(not taking any language class).

Required outcome = 55

Total possible outcomes = 100

= 55 / 100 = 0.55

B.)

P(taking exactly one language class)

(S only + F only + G only) / 100

(17 + 14 + 1) / 100

= 32/100

= 0.32

C.)

Atleast 1 is taking a language class out of 2 selected

Possibilities :

(taking and not taking) ;

(not taking and taking) ;

(taking and taking)

(45/100 * 55/99) + (55/100 * 45/99) + (45/100 * 44/99) = 0.7

Which statement best describes the area of the triangle shown below?

A coordinate grid is shown with a triangle. The base is 4 units, and the height is 4 units.

It is one-half the area of a rectangle of length 4 units and width 2 units.

It is twice the area of a rectangle of length 4 units and width 2 units.

It is one-half the area of a square of side length 4 units.

It is twice the area of a square of side length 4 units.

Which statement best describes the area of the triangle shown below?A coordinate grid is shown with a

Answers

It is 4x4 then divide that by 2 since a triangle is half of a square so 16 divided by 2 which is 8

does anyone know the answer to this?

does anyone know the answer to this?

Answers

Answer:

\(g(x) = 3(x - 12)^{2} - 5\)

Step-by-step explanation:

Horizontal translations = f(x ± h)

Reflection over the x-axis = - f(x)

For the function \(f(x) = - 3(x - 4)^{2} +5\), translating the parabola 8 units to the right means the horizontal shift of the graph, adding (- 8) to the h input.  This is represented by: \(g(x) = - 3(x - 12)^{2} +5\).  

Next, flipping the graph over the x-axis represent a reflection. Since we currently have a negative coefficient for the value of a, then the opposite of a negative coefficient is a positive coefficient.

Therefore, the rightward horizontal translation of 8 units, and the reflection of the graph over the x-axis is represented by:

\(g(x) = 3(x - 12)^{2} - 5\)

For your reference, the three images below shows the transformations on the graph. The first image is the original function (in red parabola). The second image represents the reflection over the x-axis (green parabola). The third image shows the horizontal shift, 8 units to the right (blue parabola). If you take note of the varying values in vertices, (h, k ) for the three graphs, you'll see that the original vertex was (4, 5) and the new vertices for the transformations are (4, -5) for the reflection and (12, -5) for the shift.

does anyone know the answer to this?
does anyone know the answer to this?
does anyone know the answer to this?

Find the missing number
1 4 6 2 5 7 8 9 7 15 41 ?


Answers

Answer:

43

Step-by-step explanation:

I would see a pattern like this

1 4 6 2 5 7 8 9 7 15 41 ?

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

start pattern key

then

15 = 8 × 2 - 1

a10 = a7 × a4 - a1

41 = 9 × 5 - 4

a11 = a8 × a5 - a2

? = 7 × 7 - 6 = 43

a12 = a9 × a6 - a3

solve for x if,
3^2x+1 - 4 (3^x) = -1​

Answers

Answer:

x=1.11772568, -0.48679593

I think this is right, hope it helps!

Answer:

\(x= 1.117725689 , -0.486795935...\)

Step-by-step explanation:

\(3^{2x}+1-4(3^{x})=-1\\\)

Let y=3^x

Rewrite in:

\(y^2+1-4y=-1\\y^2-4y=-2\\(y-2)^2=2\\y=2+\sqrt{2}, 2-\sqrt{2} \\y=3^{x}\\x=log(y)/log(3)\\x=\frac{log(2+\sqrt{2} )}{log(3)} , \frac{log(2-\sqrt{2}) }{log(3)} \\\\x= 1.117725689 , -0.486795935...\)

Hi can any one teach me this constant difference ​

Hi can any one teach me this constant difference

Answers

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

How do you find the constant difference in a sequence of numbers?

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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1.7% of 35 is what number?

Answers

Answer:

0.595

Step-by-step explanation:

I multiplied 1.7 by 35 and moved the decimal.

Please help
A factory makes
circular rugs with a radius of 4.5 feet. How
many braids do they need to go all the way
around the outside rug? use 3.14 for PI

A: 10.14 ft
B: 63.59 ft
C: 14.13 ft
D: 28.26 ft

Answers

I think it’s c but correct me if I’m wrong
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