Choose the single logarithmic expression
that is equivalent to the one shown
log 2 + log 4 - log 7​

Answer:

9sqrt(2) ft or 12.73 ft

Step-by-step explanation:

A = L^2

sqrt(162) = 9sqrt(2)

The diagonal of a square is equal to the side length.

So the right answer is none of the above

look at the attached picture

hope it will help you

Answer:

A = 78.5 cm²

Step-by-step explanation:

Area of Circle = πr²

A = (3.14)(5)²

A = (3.14)(25)

A = 78.5 cm²

The area formula of a circle is r² x π.

With that being said, we can now substitute in our radius value.

(5)² x π

From there, we can find the square root of the radius.

(25) x π

And then we can multiply by pi to solve.

78.539816..

Finally, we'll round to the nearest tenth to get our answer.

78.5

Therefore, the area of the circle is 78.5 cm.

Hope this helped! :)

Answer:

For x(θ) = 3cosθ + 2

y² = [9x²/(x - 2)²] - x²

For x(θ) = 3cosθ + 2

x² = [4y²/(y - 1)²] - y²

Step-by-step explanation:

Given the following equivalence:

x² + y² = r²

r = √(x² + y²)

x = rcosθ

cosθ = x/r

y = rsinθ

sinθ = y/r

Applying these to the given equations,

x(θ) = 3cosθ + 2

x = 3(x/r) + 2

xr = 3x + 2r

(x - 2)r = 3x

r = 3x/(x - 2)

Square both sides

r² = 9x²/(x - 2)²

(x - 2)²r² = 9x²

(x - 2)²(x² + y²) = 9x²

(x² + y²) = 9x²/(x - 2)²

y² = [9x²/(x - 2)²] - x²

y(θ) = 2sinθ - 1

y = 2y/r - 1

yr = 2y - r

(y - 1)r = 2y

r = 2y/(y - 1)

Square both sides

r² = 4y²/(y - 1)²

x² + y² = 4y²/(y - 1)²

x² = [4y²/(y - 1)²] - y²

Answer:9.27 pm

Step-by-step explanation:

Answer:

09:27 PM

Step-by-step explanation:

when using 12-hour clock notation then 21:27 PM would be 09:27 PM

hope this helped!

Answer:

579.29

Step-by-step explanation:

Answer:

 1512m2

I think this is the answer please do not report if wrong.

Answer:

52 degrees

Step-by-step explanation:

According to the vertical angle theorem, the opposite should be the same.

Answer:

z = 52

Step-by-step explanation:

Angle z and 52 are vertical angles so they are equal

z = 52

Answer:

216

Step-by-step explanation:

Savings = amount times percent saved

savings = 1200 * 18%

Change to decimal form

savings = 1200*.18

savings =216

Answer:

[tex]\sqrt{2} a[/tex]

Step-by-step explanation:

The distance between point (x1,y1) and (x2,y2) on a coordinate plane is given by expression [tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]

In the problem given coordinate points are

(0, a) and (a, 0).

Thus, distance between these points are given by

[tex]distance = \sqrt{(x1-x2)^2+(y1-y2)^2}\\=>distance = \sqrt{(0-a)^2+(a-0)^2}\\=>distance = \sqrt{(a)^2+(a)^2}\\\\=>distance = \sqrt{2a^2}\\=>distance = \sqrt{2} a[/tex]

Thus , expression [tex]\sqrt{2} a[/tex] gives the distance between point (0, a) and point (a, 0) on a coordinate grid.

Answer:

A) √2a^2

Step-by-step explanation:

I just took the quiz on edge

Answer:

60cm=60.5cm

96.3cm=96.35cm

The upper bound lengths are 60.4 cm and 96.34 cm for the given lengths of 60 cm and 96.3 cm.

The upper bound for the given value is the numerical value that is rounded for the next value of the given value.

the Lower bound for the given value is the numerical value that is rounded for the previous value or the estimated value of the given value.

a) 60 cm - this is rounded off for the values,

Lower bound - 59.5 cm and Upper bound - 60.4 cm

b) 96.3 cm - this is rounded off for the values,

Lower bound - 96.25 cm and Upper bound - 96.34 cm (rounded to the nearest tenth)

So,

The upper bounds for the given lengths are 60.4 cm and 96.34 cm.

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Answer:

D. Mr. Roland’s class was more successful because his class’s lower quartile was the same as Mrs. Cai’s class’s upper quartile.

Step-by-step explanation:

Mrs. Cai's class's box ranges from 2 to 4, that is, her class’s upper quartile is 4.

Mr. Roland's class's box ranges from 4 to 7, that is, his class’s lower quartile 4.

Answer:

D

Step-by-step explanation:

Mr. Roland’s class was more successful because his class’s lower quartile was the same as Mrs. Cai’s class’s upper quartile.

Answer:

11.25

Step-by-step explanation:

8x+11=180-79

8x+11=101

8x=90

x=11.25

By angle sum property the value of x in the expression (2 x + 10) +  (6 x + 1) +79 =180  is 11.25

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles.

The top angle of the triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees.

The exterior angle to the bottom left angle is (6 x + 1) degrees.

By angle sum property

(2 x + 10) +  (6 x + 1) +79 =180

8x+11 + 79 =180

8x+11=180-79

8x+11 =101

8x = 90

x = 11.25

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Answer:

WHAAAAAAAAAAAAAAAAAAAAAAAAAAAAAT

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

6+8+10=24

8/24 which is 1/3

Answer: the mean is 4 the meadian is 2.5 and 6.5

and the range is 9

Step-by-step explanation: i may not be right since i havent done this kinda work in a long time but im pretty sure this is right. cause i graphed it out and the mean is the middle while the median is like the 2/4 and the range is the highest - the lowest number

Answer:

960, 160 for each face / base

Step-by-step explanation:

Answer:

9.81*10 (you have to add that tiny six next to the 0)

Step-by-step explanation:

Answer:

9.81 x 10^6

Answer:

He made a math error

Step-by-step explanation:

6 ounces of pistachios cost $7.50

take 7.50 / 6=1.25 per ounce  ( not .80 per ounce)

Then 1.26 * 16 = 20.00 for 16 ounces

Answer: B

Step-by-step explanation: The price per ounce should have been $1.25 per ounce.

 I hope this helps! °ω°

Answer:

The numbers are 4 and 1

Step-by-step explanation:

Let x and y be the numbers

Quotient is division

x/y = 4

x-y =3

Taking the first equation and multiplying each side by y

x = 4y

Replacing into the second equation

4y -y = 3

3y = 3

Divide by 3

3y/3 = 3/3

y=1

Now we can find x

x -y =3

x-1 =3

Add 1 to each side

x= 4

Answer:

Hi Gracie pretty sure the answer is 4/3, -2

Step-by-step explanation:

The zeroes of the function f(x) = (3x − 4)(x + 2) is 4/3, -2 option (3) and option (5) are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = (3x - 4)(x +2)

To find the zeroes of the function:

Applying zero product property:

(3x - 4)(x +2)  = 0

The above equation represents a quadratic equation,

As we know, Any equation of the form[tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

3x - 4 = 0

3x = 4

x = 4/3

or

x + 2 = 0

x = -2

Thus, the zeroes of the function f(x) = (3x − 4)(x + 2) is 4/3, -2 option (3) and option (5) are correct.

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Answer:

7 and 1/2 miles per minute. Just divide 2 by 15.

Answer:

1. x = 9.75,

2. x = 36,

3. x = 12

Step-by-step explanation:

See attachment below;

Answer:

If a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram.

Step-by-step explanation:

By definition, a parallelogram is a quadrilateral with two pairs of parallel sides.  These parallel sides are of equal length and the opposite angles of a  parallelogram are of equal measure.

Answer:

if a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram.

Step-by-step explanation:

got it right on oddyssey  

Answer:

(6,0) I think

my memory is rusty on this subject sorry if it's wrong.

The image point of  (8, 4) is (6, 2).

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Given:

The point (8, 4).

To find the image point:

The translation rule:

The image point of (8, 4),

= (8 - 2, 4 - 2)

= (6, 2)

Therefore, the image point is (6, 2).

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Answer & Step-by-step explanation:

You are supposed to write the equation you would use to solve for x.

The triangle is a right triangle, classified by it's 90° angle, or right angle. This means that you can use the Pythagorean theorem:

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

(a) and (b) are the legs and (c) is the hypotenuse. The hypotenuse is always the longest side and opposite the 90° angle. Insert the given values into the formula:

[tex]4^2+7^2=x^2[/tex]

Enter this equation into the boxes, and done.

Answer:

8[tex]r^{3}[/tex] - 6r

Step-by-step explanation:

2r(4r^2-3)

= 8[tex]r^{3}[/tex] - 6r

Answer:

x^2 +13x+42

Step-by-step explanation:

(x+6)(x+7)

FOIL

first: x*x = x^2

outer: 7x

inner:6x

Last: 6*7 =42

Add them together

x^2+7x+6x +42

Combine terms

x^2 +13x+42

Answer:

X^2 + 13x + 42

Step-by-step explanation:

(X+6)(x+7)

x^2 + 7x + 6x + 42

X^2 + 13x + 42

Answer:

first x would be 1 second would 4. And the first y would be 3 and the second one would be 4

Step-by-step explanation:

Answer:

The (3, 3) one

Step-by-step explanation:

i did the exam and got it right ;)

The vectors that have the same image for Hugo and Nemo are [3, 3].

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To find the reflection of a vector v across the line y = -x, we can use the formula:

reflection(v) = R×v × R

where R is the reflection matrix given by:

R = [0 1]

[1 0]

To find the rotation of a vector v by 180° counterclockwise about the origin, we can use the formula:

rotation(v) = Rθ × v

where Rθ is the rotation matrix given by:

Rθ = [-1 0]

[0 -1]

Let's apply these transformations to each vector and see which ones have the same image for both Hugo and Nemo:

Reflection(d) = R × d × R = [0 1] × [3, 3] × [0 1] = [3, 3]

Rotation(d) = Rθ × d = [-3, -3]

These two vectors are equal.

Therefore, the vectors that have the same image for Hugo and Nemo are [3, 3].

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