Write the equation in exponential form. Log 4 1/16 =-2

Answer:

radius = 16 inches

C = 32pi or approximately 100.48 inches

Step-by-step explanation:

We know the diameter is twice the radius

d = 2r

32 = 2r

Divide each side by 2

32/2 =2r/2

16 =r

The radius is 16 inches

The circumference is equal to

C = pi * diameter

C = pi *32

C = 32 pi inches

Letting pi  be approximated by 3.14

The circumference is approximately 100.48 in

The radius is 16 inches.

This is because the radius is half the diameter and since we know that the diameter is 32 inches you just have to divide it by 2.

The circumference is 32 pi

This is because the circumference is 2 times pi times radius. This means that is is diameter times pi. This is because we know that that 2 times the radius is equal to the diameter.

Answer:

360

Step-by-step explanation:

mark out 10cm and 3cm

now you multiply 8*5*9

l*w*h

****** this symbol represent multiplication

Answer:

The mean absolute deviation (MAD) of this data set is 2.4

Step-by-step explanation:

step 1

Find the mean

To find out the mean sum all values and divide by the number of values in the data set

we have the set of data

[tex][2, 4, 7, 2, 3, 7, 9, 3, 1, 7][/tex]

The number of values is 10

so

The mean is equal to

[tex][2+4+7+2+3+7+9+3+1+7]/10=45/10=4.5[/tex]

step 2

Find out the absolute value of the difference of each value from that mean

[tex]\left|2-4.5\right|=2.5[/tex]

[tex]\left|4-4.5\right|=0.5[/tex]

[tex]\left|7-4.5\right|=2.5[/tex]

[tex]\left|2-4.5\right|=2.5[/tex]

[tex]\left|3-4.5\right|=1.5[/tex]

[tex]\left|7-4.5\right|=2.5[/tex]

[tex]\left|9-4.5\right|=4.5[/tex]

[tex]\left|3-4.5\right|=1.5[/tex]

[tex]\left|1-4.5\right|=3.5[/tex]

[tex]\left|7-4.5\right|=2.5[/tex]

so

we have

[tex][2.5, 0.5, 2.5, 2.5, 1.5, 2.5, 4.5, 1.5, 3.5, 2.5][/tex]

step 3

we know that

The Mean Absolute Deviation (MAD) is the mean of those distances

[tex][2.5+0.5+2.5+2.5+1.5+2.5+4.5+1.5+3.5+2.5]/10=24/10=2.4[/tex]

therefore

The mean absolute deviation (MAD) of this data set is 2.4

To find the length of the rectangular field, set up an equation using the given information and solve for the width. Then, add 10 to the width to find the length of the field.

To find the length of the rectangular field, we can set up an equation using the given information. Let's let x represent the width of the field. Since the length is 10 feet more than the width, we can represent the length as x+10. The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. In this case, we know that the perimeter is 600 feet, so we can set up the equation: 600 = 2(x+10) + 2x. Solving this equation will give us the value of x, which represents the width. Once we have the width, we can find the length by adding 10 to the width.

Let's solve the equation:

The width of the field is 145 feet. To find the length, we add 10 to the width: 145 + 10 = 155 feet. Therefore, the length of the field is 155 feet.

Angle Y equals Angle S

Answer:

The right answer is the first answer

Step-by-step explanation:

Look to the attached file

Answer:

The correct answer option is A. [tex]|A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}[/tex].

Step-by-step explanation:

We are given the following system of linear equations:

[tex]-3x+2y=-9[/tex]

[tex]4x-15y=-25[/tex]

We can create a matrix  AX = b where A is a 2×2 matrix created by the coefficients of x and y and b is a 2×1 matrix formed by the term after equality.

So the correct answer option is:

[tex]|A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}[/tex]

I got you, you'll get a super grade!

D.) Company III has the best discount price of $132.

Option A is incorrect because $49.50 is 25% of $198, not 25% off. Option B is not the best choice because Patricia will end up spending about $30 more. Option C is also not the best option because Patricia can save $16 if she does not chose Company I. So, we are left with our only answer choice, Option D.

Hope this helps ya, please slide me Brainliest :D

Answer:

find the missing numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve for x

- 4 (x - 2) = - 4           There are a a couple of ways of doing this. Divide by - 4

-4 (x - 2)/-4 = - 4/-4   Combine

x - 2 = 1                     Add 2

x = 3

Solve for y

9 + 2(y - 3) = 3(y - 2) + 1        Remove the brackets on both sides.

9 + 2y - 6 = 3y - 6 + 1           Combine

9 - 6 + 2y = 3y - 5                

3 + 2y = 3y - 5                      Add 5

3 + 5 + 2y = 3y                      Subtract 2y

8 + 2y - 2y = 3y - 2y

8 = y

Solve for z

z/3 + 1/2 = 5/2                       Subtract 1/2 from both sides.

z/3 + 1/2 - 1/2 = 5/2 - 1/2       Combine

z/3 = 4/2

z/3 = 2                                   Multiply by 3

z/3*3 = 2*3

z = 6

So far what you have is

3

==

8 ||  6

== must = 4 because 3 + 8 + 4 = 15

||  must =  1 because 8 + 6 + 1 = 15

You have 3 numbers left to place 5,7,2

The right hand upper corner = 7.

I'll leave you to place the 5 and 2

Answer:

∠MLN = 21°

Step-by-step explanation:

∠MLN = ∠MLO - ∠OLN = 52° - 31° = 21°

The answer would be 4/10.

3/10 + 4/10 = 7/10

Answer:

[tex]\frac{4}{10}[/tex] or when it's simplified [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{7}{10} - \frac{3}{10}=\frac{4}{10}=\frac{2}{5}[/tex]

Answer:

Answer is 6.23u because ,

For this case we must simplify the following expression:

[tex]\frac {4u} {25u} =[/tex]

We must cancel similar terms of the numerator and denominator:

[tex]\frac {4} {25} =[/tex]

The decimal form of the expression is obtained by replacing the values in a calculator:

[tex]\frac {4} {25} = 0.16[/tex]

ANswer:

0.16

Answer:

A

Step-by-step explanation:

A is correct.  This absolute value is the distance (unsigned) between -2/3 and +5/3, which is 7/3.  Note that This distance is | 5/3 - (-2/3) |, or 7/3.

Answer:

3x + y = 12

Step-by-step explanation:

x = 6 - t

y = 3t - 4

We have to convert these equations in rectangular form which means that we have to express them in terms of x and y only. For this we have to eliminate "t".

From first equation we get the value of t as:

x + t = 6

t = 6 - x

Using this value in second equation, we get:

y = 3(6 - x) - 4

y = 18 - 3x - 12

3x + y = 6

This is the equation in rectangular form.

Answer:

137.1

Step-by-step explanation:

Add the area of the semicircle to the area of the rectangle. The area of the semicircle is going to be [tex]\pi r^{2}[/tex] / 2. r standing for radius. the radius is 4 (half of the diameter). When you plug in 4 for r you get approximately 25.1. Then you have to add that to the area of the rectangle which is just 14x8 which equals 112.

25.1 + 112 = 137.1

Answer:

137.1

Step-by-step explanation:

So what you wana do is multiply 8 x 14 which equal 112 so u can rule out 212.5 (too big) and 86.9 (too little) now u have 137.1 and 162.2 now what u wana do is look at the nearest one cause the space we have left is very small so know we can rule out 162.2 so your answer is 137.1!

                                 Foot note: plz tell me if this helps!

Answer:

Option D [tex]y=-3x[/tex]

Step-by-step explanation:

we have the points

(-3,9) and (0,0)

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin, then the line represent a direct variation

Find the constant of proportionality k

[tex]k=y/x[/tex]

For the point (-3,9)

[tex]k=9/-3=-3[/tex]

so

the equation is

[tex]y=-3x[/tex]

Answer:

y = -3x

Step-by-step explanation:

it's what the test said

Final answer:

The enrollment in the French class compared to the Spanish class is 18/25 as a fraction and 72% as a percent.

Explanation:

To find the enrollment in the French class compared to the Spanish class as a fraction, we need to use the information given that enrollment in French class is 0.72 of enrollment in Spanish class. This means that for every 1 student in the Spanish class, there are 0.72 students in the French class.

To represent this as a fraction, we can write it as 0.72/1 or simply 72/100. Simplifying this fraction gives us 18/25.

To find the enrollment in the French class compared to the Spanish class as a percent, we can convert the fraction 18/25 to a percent. To do this, we divide 18 by 25 and multiply by 100. This gives us 72%.

Answer: more then 190

Step-by-step explanation:

if you multiply $19 by 12 (12 months in a year) you get $228

Miss Lacey will have to pay more than $190 for the gym membership.

A product is the result of the multiplication, an expression that identifies factors to be multiplied.

Miss Lacey is paying $19 p.m for the gym membership fees. So she will have to pay for one year =19*12 because there are 12 months in a year.

=218

which is greater than $218.

Hence Miss Lacey will have to pay more than $190 for the gym membership fees.

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Answer:

Yes, because 2nd picture

Step-by-step explanation:

we know that

If the side lengths of a triangle satisfy the Pythagoras Theorem, then is a right  triangle  

The Pythagoras Theorem states that

[tex]c^{2}=a^{2}+b^{2}[/tex]

where

c is the greater side

a and b are the legs of triangle

we have

[tex]c=70\ ft[/tex]

[tex]a=42\ ft[/tex]

[tex]b=56\ ft[/tex]

substitute

[tex]70^{2}=42^{2}+56^{2}[/tex]

[tex]4,900=4,900[/tex]

therefore

Is a right triangle

Final answer:

Kelsey's porch does form a right triangle because the sum of the squares of the side lengths (42 feet and 56 feet) equals the square of the hypotenuse (70 feet) when applying the Pythagorean Theorem.

Explanation:

To determine if Kelsey's porch forms a right triangle, we need to apply the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the lengths of the two perpendicular sides (a and b) is equal to the square of the length of the hypotenuse (c).

The formula is a² + b² = c².

For Kelsey's porch, the side lengths are:

Side a = 42 feet

Side b = 56 feet

Side c (potential hypotenuse) = 70 feet

Let's calculate:

42² + 56² = 70²

1764 + 3136 = 4900

4900 = 4900

Since the sum of the squares of the two shorter sides is equal to the square of the longest side, the porch does form a right triangle. The answer is Yes.

Answer:

2x+13y+4

Step-by-step explanation:

So what you want to do is, take 8y multiple that by 2 which is 16y. Then you take 16y and 5y add those together which is 21y.your gonna do the same thing with 4x and -2x which is 2x.and then bring down the 6. Answer(2x+21y+6)

To get the system of equations in terms of x and y, solve for any other parameters and substitute back into the other equations.

y=2/x+8

Eliminate the parameter:

Answer:

d 60 ft 2

Step-by-step explanation:

The area of a rectangle is length*width so the area of this rectangle is 7.5 * 8 or 60ft²

Answer:

100.

Step-by-step explanation:

These are all of the steps to completely and correctly solve this question.

Hope this helps!!!

Kyle.

Answer:

$499.8

Step-by-step explanation:

Principal=$580

Time=6 months=1/2 year

rate=2% p.a.

prt=580*2*1

   ---------------

     2*100

=$499.80

Answer:  

Simple Interest over the given time interval will be $5.80

Step-by-step explanation:

Principal Amount = $580

Rate of Interest = 2%

                          = 0.02

Time = 6 months

        = 0.5 years

Now, Simple Interest is given by the formula :

Simple Interest = Principal × Rate × Time

⇒ Simple Interest = 580 × 0.02 × 0.5

⇒ Simple Interest = $5.80

Thus, Simple Interest over the given time interval will be $5.80

Answer:

AE=3

Step-by-step explanation:

1. Consider right triangle BOh. In this triangle, OB=10 (hypotenuse), OH=6 (leg), then by the Pythagorean theorem,

[tex]BH^2=BO^2-OH^2\\ \\BH^2=10^2-6^2\\ \\BH^2=100-36\\ \\BH^2=64\\ \\BH=8.[/tex]

2. Since OH⊥BC, then BC=2BH=16.

3. Use the secants property: If two secant segments are drawn to a circle from the same external point, the product of the length of one secant segment and its external part is equal to the product of the length of the other secant segment and its external part.

Thus,

[tex]AE\cdot FA=AB\cdot AC.[/tex]

So,

[tex]AE\cdot (AE+9)=2\cdot (2+16)\\ \\AE(AE+9)=36\\ \\AE^2+9AE-36=0\\ \\D=9^2-4\cdot (-36)=81+144=225\\ \\AE_{1,2}=\dfrac{-9\pm\sqrt{225}}{2}=-12,\ 3.[/tex]

The segment cannot be of negative length, therefore, AE=3.

Intersecting Secant Theorem helps to establish the relation between two secants of a circle. The length of the side AE will be equal to 3 units.

When two line secants of a circle intersect each other outside the circle, the circle divides the secants into two segments such that the product of the outside segment and the length of the secant are equal to the product of the outside segment and the other secant's length.

a(a+b)=c(c+d)

If we look into the triangle BOH, then the length of the side BH using the Pythagoras theorem can be written as,

[tex]OB^2=OH^2+BH^2\\\\10^2 = 6^2 + BH^2\\\\BH= 8\rm\ units[/tex]

Now, the length of BC will be twice the length of BH, therefore, the length of the line BC can be written as,

[tex]\text{Length of BC} = 2 \times (\text{Length of BH})\\\\\text{Length of BC} = 2 \times 8 = 16\rm\ units[/tex]

Now, using the Intersecting secant theorem the length of AE can be written as,

[tex](AB \times AC) = (AE \times FA)\\\\2(2+16) = AE(AE+9)\\\\36=AE^2+9AE\\\\AE^2+9AE-36 = 0\\\\AE^2+12 AE - 3AE -36=0\\\\AE(AE+12)-3(AE+12)=0\\\\(AE-3)(AE+12)=0\\\\AE = 3, -12[/tex]

Since the length can not be negative, therefore, the length of the side AE will be equal to 3 units.

Learn more about Secant:

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Answer:

Step-by-step explanation:

Determine the fraction of total interest owed.

After the seventh month of a 12-month loan,

the numerator is: {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)} =  

(63)

, and

the denominator is: {(n) + (n + 1) + ... + (n + 11)} =  

(78)

.

Therefore, the fraction is numerator/denominator (to the nearest tenth) =  

(80.8) %.

To determine the fraction of total interest paid after the seventh month of a 12-month loan, find the numerator and denominator, calculate the sums, and divide them.

To determine the fraction of total interest paid after the seventh month of a 12-month loan, we need to find the numerator and denominator of the fraction. The numerator is given by the sum of all the amounts owed in the previous months, while the denominator is the sum of all the amounts owed for the entire loan term.

In this case, the numerator is {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)}, and the denominator is {(n) + (n + 1) + ... + (n + 11)}. Simply calculate these sums and then divide the numerator by the denominator to obtain the fraction of total interest paid.

For example, if n = 100, the numerator would be {(100 + 11) + (100 + 10) + (100 + 9) + (100 + 8) + (100 + 7) + (100 + 6) + (100 + 5)} and the denominator would be {(100) + (100 + 1) + ... + (100 + 11)}. Once you have the numerator and denominator, divide them to get the fraction, which can be represented as a decimal to the nearest tenth.

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Answer:

sqrt(678)=

26.0384331

Step-by-step explanation:

For this case we must find the value of the following expression:

[tex]\sqrt {678}[/tex]

This expression can not be simplified. Its excata form is the same. On the other hand, if we introduce this expression in a calculator, we find that the decimal form of the expression is: 26.0384

Answer:

26.0384

Answer:

Area=3

Step-by-step explanation:

A = 1/2 bh

A = 1/2 (10) (3/5)

A = 3

52/107= .486 so there’s a 48.6% that they are in 10th grade

Answer:

4

Step-by-step explanation:

How many selfies did Tania take? (my first answer would be too many, but that's probably not the answer you're looking for :-) )

We know that each cousin appear 2 or 3 times overall.

If she would have taken each cousin exactly 2 times, that would be 16 cousins/photos

If she would have taken each cousin exactly 3 times, that would be 24 cousins/photos

We know there's exactly 5 cousins per photo...

so we have to find a multiple of 5 cousins/photos that is between 16 and 24.

The only possibility is 20 cousins/photos.  20 / 5 = 4 photos.

Answer:

Hence first graph is the correct answer.

T I

1 28

2 56

3 84

4 112

Step-by-step explanation:

Given that initial amount P = $400

Simple rate of interest = R = 7% = 0.07

Time t= 1,2,3,4 years.

Then apply Simple interest formula to find the total interest earned in the given years.

I=PRT

for t=1 year

I=PRT=400(0.07)(1)=28

for t=2 year

I=PRT=400(0.07)(2)=56

for t=3 year

I=PRT=400(0.07)(31)=84

for t=4 year

I=PRT=400(0.07)(4)=112

Now we have table as shown below:

T I

1 28

2 56

3 84

4 112

Graphing these points we see that obtained graph best matches with First choice .

Hence first graph is the correct answer.