Question #4
The radius of a circle is 12 inches.
Enter the circumference of the circle, in inches. Round your answer
to the nearest hundredth.

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 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:

5

Step-by-step explanation:

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

A whole number between 3.75 and 6 is 5.

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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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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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 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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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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Answer:

Answer B is correct

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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Answer:

Step-by-step explanation:

angle on a straight line is 180

angle of 1 = 180 -110

                  =70

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.

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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You can just replace [tex]u[/tex] with 2:

[tex]2^2 - 4\times2 + 2 = 4 - 8 + 2 = \boxed{-2}[/tex]

Alternatively, you can complete the square.

[tex]u^2 - 4u + 2 = u^2 - 4u + 4 - 2 = (u-2)^2 - 2[/tex]

When [tex]u=2[/tex], the quadratic term vanishes and we again get -2.

Answer:

1f, 2b, 3a, 4c, 5d, 6e

see image

Step-by-step explanation:

Solve the equations by getting x all by itself on one side. Then, square root to get rid of the exponent.

Any problem where you square root a negative will give you an i in the answer. This is because sqrt(-1) is i. Because i^2 = -1

Also, when you are simplifying square roots for your final answer, look for a perfect square number inside of the radical. Like Sqrt45 can be broken down to

Sqrt9•sqrt5

And because 9 is a perfect square, sqrt9 simplifies to just 3. See image.

The probability that a person chosen at random is younger than 65 is 0.967.

Probability calculates the odds that a random event would happen. The odds that the random event happens lie between 0 and 1.

The probability that a person chosen at random is younger than 65 = (total number of people younger than 65 / total number of respondents)

(350 + 412 + 318 + 200 + 107 + 51 ) / (350 + 412 + 318 + 200 + 107 + 51 + 49)

1438 / 1487 = 0.967

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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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Answer:

1/4

Step-by-step explanation:

Given [tex]\displaystyle{s=\dfrac{1}{4}}[/tex] and we have to evaluate [tex]\displaystyle{4s^2}[/tex]. We can do by substituting the given value s = 1/4 in 4s² term:

[tex]\displaystyle{4\cdot \left(\dfrac{1}{4}\right)^2}\\\\\displaystyle{4\cdot \dfrac{1}{16}}\\\\\displaystyle{\dfrac{1}{4}}[/tex]

Therefore the value is 1/4

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 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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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.

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 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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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

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:

5040 is the right answer

Step-by-step explanation:

5040/1=5040

5040/2=2520

5040/3=1680

5040/4=1260

5040/5=1008

5040/6=840

5040/7=720

5040/8=630

5040/9=560

5040/10=504

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]

(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:

.3

Step-by-step explanation:

.33 is .03 greater than .3

The number which represents the smallest value between 0.3 and 0.33 is the number 0.3.

Given are two decimal numbers.

0.3 and 0.33

It is required to find the number which is the smallest between these two.

The number 0.3 can be written as 0.30.

And the other number is 0.33.

In order to find the smallest number, check the digits from left to right.

The first digit after the decimal point of both numbers is 3.

The second digit after the decimal point is 0 for 0.30 and 3 for 0.33.

Here 0 is smaller than 3.

So, 0.30 is smaller than 0.33.

Hence, the smallest value is 0.3.

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