Which point on the number line represents the difference 2.6 - 1.2?

The expression of the given logarithmic function 2log(2/√5) is; D: -0.097

From logarithmic Identities, we know that;

log (x/y) = log x - log y

log (x * y) = log x + log y

Thus;

2log(2/√5) = 2[log 2 - log √5)

Now, log √5 can also be expressed as;

log √5 = ¹/₂log 5

Thus;

2log(2/√5) = 2[log 2 - ¹/₂log 5]

⇒ 2 log 2 - log 5

We are given the values;

log2≈0.301, log3≈0.447, log4≈0.602, log5≈0.699

Thus;

2log(2/√5) = 2 log 2 - log 5 = 2(0.301) - 0.699

⇒ -0.097

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Answer:

Step-by-step explanation:

angle on a straight line is 180

angle of 1 = 180 -110

                  =70

The amount of money that you would pay less for basic contact is $15 while the amount you will pay more for premium =$465.

From the given table in the diagram, the cost of calls made for 10 hours at Standard time=

$6 × 10 = $60

The amount of calls done for basic contact is 3 hours per month for $15 . Total cost per month = 3×15= $45

The amount of calls done for premium contact is 15 hours per month for $35 . Total cost per month = 15× 35=$525

Ordinarily, you per $60 for standard call hours. This means that,

$60 - 45 = $15 less for basic contact and

$525 - $60 = $465 more for premium.

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The future values of Ashley's periodic deposits under the five scenarios are stated in the deposit table as follows:

Item     Initial       Periodic      Deposit    Interest    Future Value    Interest

         Deposit     Deposit        Period        Rate                                    ($)

a.      $10,000     $10,000     6 months        5%        $61,774.51      $1,774.51

b.     $10,000     $10,000     3 months        5%      $30,502.78       $502.78

c.      $10,000    $10,000     6 months        5%        $51,774.51     $1,522.42

d.    $20,000    $10,000      6 months       5%        $72,201.71     $2,201.71

e.   $10,000     $10,000     6 months       5%/6%  $60,803.78       $803.78

The future value of a periodic investment represents the present value of cash flows compounded at an interest rate into the future.

The future value is computed using the FV formula or factor.

It can also be computed using an online finance calculator as follows:

Periodic Deposit = $10,000

Investment period = 6 months

Interest rate = 5% compounded monthly

N (# of periods) = 6 months

I/Y (Interest per year) = 5%

PV (Present Value) = $0

PMT (Periodic Payment) = $10,000

Results:

FV = $61,774.51

Sum of all periodic payments = $60,000 ($10,000 x 6)

Total Interest = $1,774.51

c) Interest on $10,000 for 3 months is $1,522.42 ($1,774.51 - $252.09).

d)                             Future Value      Interest

5% with $20,000   $82,285.04    $2,285.04

5% with  $10,000     (10,083.33)          (83.33)

Total for 6 months   $72,201.71     $2,201.71

e)                            Future Value       Interest

5% for 3 months    $30,502.78       $502.78

6% for 3 months     $30,301.00       $301.00

Total for 6 months $60,803.78      $803.78

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Answer:

No he's not correct.

Step-by-step explanation:

If you look closely the 2 and the 3 in the decimals are in different sections so it would not equal 0.5

It would equal 0.23

Step-by-step explanation:

the formula for the height in a right-angled triangle is

h = sqrt(p×q)

p and q being the segments of the Hypotenuse left and right from the point, where the height intersects with the Hypotenuse.

so, in our case

12 = sqrt(16×(x-16))

let's square this to eliminate the square root :

144 = 16×(x - 16) = 16x - 256

400 = 16x

x = 25

(5x-7)(x-9)

Factoring is the inverse of the distributive property. This means that we want to find the factors, not the product.

Partial Factoring

The expression we are given has already been factored to an extent. Both terms are split into 2 different factors. This was done by factoring out the greatest common factor (GCF) from both terms. In the first term, the GCF was 5x, and in the second, the GCF was -7.

Complete Factoring

Even though it was partially factored, we can factor it more. When given the situation:

The expression can be factored into:

You can add (subtract in this case because 7 is negative) the values from outside the parentheses together. This term can then be multiplied by the value within the parentheses.

Thus, 5x(x+9) -7(x+9) can be factored into:

Remember this trick only works when both terms share a factor like (x-9).

Answer: A and H

Step-by-step explanation:

y=x+1 is shaded below and dotted, so [tex]y < x+1 \implies x-y > -1[/tex].

Also, y=-2 is dotted and shaded above, so it represents [tex]y > -2[/tex]

64 decrease by twice the number then the algebraic expression be

64 - 2m.

The algebraic expression exists acquired by a finite number of the fundamental functions of algebra upon characters expressing numbers. Algebraic expressions contain at least one variable and at least one operation (addition, subtraction, multiplication, division).

From the given information, we get

Let, Matt's savings be denoted by the variable m.

Twice the number be 2m.

64 decrease by twice the digit then the algebraic expression be 64-2w.

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It would take the brave night 20 hours on his horse from one kingdom to another in 2 days.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let us assume that he travelled at 20 mph on the second day.  If he traveled exactly the same amount of time each day and went 300 miles, find how many hours it took the knight to travel from one kingdom to another.

Let t represent the time in hours travelled each day.

Total distance travelled in day one = 10t

Total distance travelled in day one = 20t

Hence:

10t + 20t = 300

t = 10 hours

Total time = 10 + 10 = 20 hours

It would take the brave night 20 hours on his horse from one kingdom to another in 2 days.

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Based on the given horizontal and vertical sides of a rectangle and its perimeter, the value of x in the expression is 6

Perimeter of rectangle = 2(length + width)

= 3x - 6

= 4x - 7 - 2x

= 2x - 7

Perimeter of rectangle = 2(length + width)

34 = 2{(3x - 6) + (2x - 7)}

34 = 2(3x - 6 + 2x - 7)

34 = 2(5x - 13)

34 = 10x - 26

34 + 26 = 10x

60 = 10x

x = 60/10

x = 6

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The standard deviation of the number of defective candles in the group is 0.9277.

When a random variable X follows a binomial distribution, with the sample size n, and the proportion of success is p, then the standard deviation is calculated as:

σ = √{np(1-p)}.

In the question, we are given that off the production line, there is a 2.2% chance that a candle is defective.

We are asked if the company selected 40 candles off the line, then what is the standard deviation of the number of defective candles in the group.

Assuming the occurrence of a defective bulb as success, we get the proportion of success, p = 2.2% or 0.022, and the sample size, n = 40.

Thus, we can calculate the standard deviation of the number of defective candles in the group as:

σ = √{np(1-p),

or, σ = √{40*0.022*(1 - 0.022)} = √0.86064 = 0.9277.

Thus, the standard deviation of the number of defective candles in the group is 0.9277.

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Answer:

13 pieces

Step-by-step explanation:

First we convert 4m into cm :

1m = 100cm

4m = 400cm

Now we need to figure out how many 30s go into 400 :

400 ÷ 30 = 13 remainder 10

So 13 pieces can be cut from the ribbon

Hope this helped and have a good day  

Answer:

13

Step-by-step explanation:

4 meters is equal to 400 centimeters.

400/30 =  13 1/3

You don't want partial pieces, so your answer is 13

The identification of parts A,B andC is illustrated below with their various reasons given.

An equilateral triangle is the triangle that has all its sides equal in length and each angle is made up of angle 60°.

Part A = The similar triangle are RGE and PBE

Part B = The triangles selected are similar because it was formed by an interception of the parallel lines of the rectangle GCPR.

Part C= All the sides of the equilateral triangle are the same therefore the distance from B to E and from P to E is the same with BP which is 225ft.

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Answer: 4/5

Step-by-step explanation: For a line to be parallel to another line there must be two conditions true.

Condition 1: Both lines must have the same slope (i.e the same x in the form y = mx + b)

Condition 2: Both lines must have different y-intercepts (i.e different b in the form y = mx + b)

Thus, if you are looking for the slope of the line parallel to y = 4/5x - 3, we can look at condition 1, and see that the slope should also be 4/5 for the other line.

Answer:

120°

Step-by-step explanation:

Angles in a quadrilateral add to 360°, so

90+90+x+2x=360

180+3x=360

3x=180

x=60

So, angle R measures 120°.

The given expression is a perfect square trinomial.

Here we have the expression:

[tex](x^2 - 16)^2[/tex]

Notice that we can rewrite it as:

[tex](x^2 - 4^2)^2[/tex]

Then we can see that inside the parenthesis we have a difference of squares, but it is squared, so if we define:

[tex]x^2 = a\\4^2 = b[/tex]

We will have:

[tex](a - b)^2 = a^2 + -2ab + b^2 = (x^2)^2 - 2*(4^2)*(x^2) + (4^2)^2[/tex]

Which is in fact, a perfect square trinomial.

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The amount of qts to use for 15 gals is 0.6qts

Proportion and ratio

Ratio are written as quotient of 2 integers

Given that 2 qts for every 50 gal of water, this is written as;

2qts = 50 gals

In order to calculate for 15gal, we will have:

x = 15gals

Take the ratio

2/x = 50/15

50x = 30

x = 3/5

x = 0.6qts

Hence the amount of qts to use for 15 gals is 0.6qts

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a. [tex]I = 6. 1[/tex] × [tex]10^-4[/tex] A

b. [tex]I = 2. 6[/tex] × [tex]10^-3[/tex] A

c. [tex]I = 0. 04[/tex] A

The LED which would glow brightest is LED C with the greatest current and voltage

The LED which would be the most dim is LED B with low voltage and consequently low current.

The formula for finding current

I = V/R

Where v = voltage

R = resistance

A. V = 12V

R = 4. 7 + 15 = 19. 7 kΩ = 19700 Ω in series

[tex]I = \frac{12}{19700}[/tex]

[tex]I = 6. 1[/tex] × [tex]10^-4[/tex] A

B. V = 9V

R = 4. 7 + 1 = 4. 7 kΩ = 4700Ω in series

[tex]I = \frac{12}{4700}[/tex]

[tex]I = 2. 6[/tex] × [tex]10^-3[/tex] A

C.  V=  12V

1/R = [tex]\frac{1}{750} + \frac{1}{1200} + \frac{1}{950 }[/tex] = [tex]3. 22[/tex] × [tex]10^-3[/tex]

R = [tex]\frac{1}{3. 22 * 10 ^-3}[/tex] = 310. 56 Ω

[tex]I = \frac{12}{310. 56}[/tex]

[tex]I = 0. 04[/tex] A

It is important to note that the brightness of a bulb depends on both current and voltage depending on whether the bulb it is in parallel or series.

The LED which would glow brightest is LED C with the greatest current and voltage

The LED which would be the most dim is LED B with low voltage and consequently low current.

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The sample mean for students with a grade point average of 3.0–4.0 is greater than students with grade point average of 2.0 - 3.0,  the results tend to

From the question, we have the following highlights

From the above highlights, the sample mean for students with a grade point average of 3.0–4.0 is greater than students with grade point average of 2.0 - 3.0

This is because 6.8 is greater than 6.4

This means that Garret's theory about the hours of sleep is correct

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The volume of the shape will be 5652cm³.

The given values are:

Height = 30cm

Large diameter = 16cm: Radius = 16/2 = 8cm

Small diameter = 4cm; Radius = 4/2 = 2cm

The volume will be:

= (3.14 × 8² × 30) - (3.14 × 2² × 30)

= 6028.8 - 376.8

= 5652cm³

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The first blank is BAL and FGH

The second blank is AL

The third blank is CE and KI

The fourth and final blank is GH

According to the statement

we have given a diagram in which there are some angles and from these angles we have to find that the

Which opposite angles are congruent

The opposite side of AB

With GF angle which angle are congruent

Two angles are which are opposite to each other.

So, from a diagram it is clear that The angles which are congruent with each other is BAL and FGH. Because there positions are perfectly opposite and same  to each other.

And The opposite side of AB is AL because it is present at opposite position to each other.

And with GF angle GH are congruent angles.

So, The first blank is BAL and FGH

The second blank is AL

The third blank is CE and KI

The fourth and final blank is GH

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DISCLAIMER: This question is incomplete.Please see the complete question below.
QUESTION:
Select the correct answer from each drop-down menu.

For the figure shown, point D is a midpoint of , and point J is a midpoint in figure.

Since reflecting the points C, B, A, L, and K across line maps these points onto E, F, G, H, and I, respectively, the opposite angles

are congruent. Since reflecting the points L, K, J, I, and H across line maps these points onto B, C, D, E, and F, respectively, the opposite sides are congruent.

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The correct option regarding the correlation coefficient is given as follows:

strong negative linear relationship between protein amount and calories.

In this problem, the coefficient is of -0.87, which is a negative value with absolute value greater than 0.6, hence the relationship is strong is the correct option is given as follows:

strong negative linear relationship between protein amount and calories.

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based on the number of mice that took part in the experiment, the total number of mice that had at least one effect is 20 mice.

15 mice had at least 1 tumor while 4 mice had both a tumor and respiratory failure.

the number of mice with just a tumor is:

= 15 - 4

= 11 mice

the number of mice with respiratory failure alone is:

= 9 - 4

= 5 mice

the mice that had at least one symptom is:

= 11 + 5 + 4 mice with both

= 20 mice

question is:

what are the number of mice with at least one effect?

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Answer:

361

Step-by-step explanation:

discriminant = b² - 4ac

= (21)² - 4(1)(20)

= 441 - 80

= 361

Answer:

(1 , 6)

Step-by-step explanation:

the center of the circle is the midpoint of the diameter

Which is the point of coordinates:

[tex](\frac{-3+5}{2} ,\frac{5+7}{2} )[/tex]

Then the center is the point :

[tex](1 , 6)[/tex]

[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]

Given:

[tex]\longrightarrow\bold{(-3,5)}[/tex]

[tex]\longrightarrow\bold{(5, 7)}[/tex]

Calculate the average value between the x-coordinates of the diameter and do the same for the y-coordinates:

[tex]\longrightarrow\sf{C_x=\dfrac{-3+5}{2} = \dfrac{2}{2} =1}[/tex]

[tex]\longrightarrow\sf{C_y= \dfrac{5+7}{2} = \dfrac{12}{2} = 6 }[/tex]

[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]

[tex]\longrightarrow\sf{=(1,6)}[/tex]

Answer:

5

Step-by-step explanation:

[tex]\sqrt{36}=6[/tex]

A whole number between 3.75 and 6 is 5.

Answer:

31 3/4 %

Step-by-step explanation:

There are 100 squares so each square is a percent.  There at 31 full squares colored and it looks like 3/4 of 1 square.