the expression 2 log x - (3 log y + log z) is equivalent to

Answer:

[tex]W=15ft[/tex]

[tex]L=20ft[/tex]

Step-by-step explanation:

From the question we are told that:

Length of Bed [tex]L=5+W[/tex]

Width of sidewalk [tex]W_s=3ft[/tex]

Area of the bed and sidewalk [tex]A_t= 546ft^2[/tex]

Generally the equation for Area of the bed and sidewalk[tex]A_t[/tex] is mathematically given by

 [tex]Area=L*B[/tex]

 [tex]A_t=((3+3)+L)*((3+3)+W)[/tex]

Therefore

 [tex]546=((3+3)+(5+W))*((3+3)+W)[/tex]

 [tex]0=((6+(5+W))*((6)+W)-546[/tex]

 [tex](11+W)*(6+W)-546=0[/tex]

 [tex]W^2+17B-480=0[/tex]

Solving the Quadratic Equation

 [tex]W=15ft[/tex] (Using only positive root)

Generally the Length L is mathematically given by

 [tex]L=5+15[/tex]

 [tex]L=20ft[/tex]

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because the y column can all be multiplied by 5 to get the x column

Answer:

the answer is (C) 4/5÷1=?

Answer:

i think it's 6.

...........................

Answer:

2√5

Step-by-step explanation:

school is at (8,7) and park is at (10,11)

distance formula is the square root of the difference of the y-values, squared, added to the difference of the x-values, squared.

d = √(11-7)²+(10-8)²

d = √4²+2²

d = √16+4

d = √20 which equals √4·√5 which equals 2√5

No table and graph given for us to choose from.

Answer:

which class

Step-by-step explanation:

which class question is this

Answer:3^2

Step-by-step explanation:

I think it is 3 with exponent of 3 because if its asking for side length of 9 then 3 x 3=9

Answer:19/31

Step-by-step explanation:

Answer:

Step-by-step explanation:

42

Answer:

Area of background without flower bed = 575 feet²

Step-by-step explanation:

Given:

Length of rectangle ground = 35 feet

Width of rectangle ground = 20 feet

Height of triangle bed = 10 feet

Base of triangle bed = 25 feet

Find:

Area of background without flower bed

Computation;

Area of background without flower bed = Area of rectangle - Area of triangle

Area of background without flower bed = [l x b] - (1/2)(b)(h)

Area of background without flower bed = [35 x 20] - (1/2)(25)(10)

Area of background without flower bed = 700 - 125

Area of background without flower bed = 575 feet²

Answer:

125 for the backyard with the flower bed, and the backyard that does not include the flower bed is 575 square feet :)

Answer:

34

Step-by-step explanation:

[tex]\frac{2}{5}*85[/tex]

Long way

[tex]\frac{85}{1}*\frac{2}{5} \\ \\ \frac{170}{5} \\ \\ =34[/tex]

short way

-can be simplified before mulitplying

[tex]\frac{85}{1} *\frac{2}{5} \\ \\ \frac{17}{1}*\frac{2}{1} =34[/tex]

Think 85 and 5 as nickels. You need 20 nickels to make 100. Subtract 100 by 85 to get 15. You get 3 nickels and 17 nickels. 17 is the common factor. Multiply 17 by 2 to get your answer.

Answer:

Step-by-step explanation:

Start at (-2, 0).  The curve (a sinusoidal) continues to the right and ends at (6, 0).  That's an interval of 8.  Then, after another 8 units on the horizontal axis, the curve repeats itself again.  This is a "periodic function," with period 8.

Step-by-step explanation:

write what you know

the flat fee doesnt chamge no matter how much he uses his data

the charge for every gigabyte does change

Ex: if he uses 3 gigabytes of data in one month, that's

5 + 5 + 5 = $5 x 3 = $15

So taking this into consideration youd write the following

$41.50 + $5x = $52.50 (since this is what we want to equal)

then solve for x

Answer:

answer is A

sum of angles = 180

5x -20 + 3x +5 + 2x - 15 =180

10x = 180 + 30

10x=210

x=21

A=3×21+5

=68

Answer:

In the picture above

Step-by-step explanation:

I solved all questions except no.7 ; I don't know how can be solved.

I hope that its a clear solution. Goodluck

Answer:

B. 1:7

Please give me brainliest, thank you!

Step-by-step explanation:

Information given and needed:

- 40 members

- 5 girls

- 35 boys

Solve:

girls to boys

5 to 35

(You can now simplify)

1 to 7

Answer:

B. 1:7

Answer:

1:4

Step-by-step explanation:

Answer:

286 cubes

Step-by-step explanation:

Find the area by multiplying the fractions. You get 71 1/2. Divide the area by 1/4 that determines your answer.

Answer:

The value of x is 20 ft

Step-by-step explanation:

15/6 = 2.5

8 x 2.5 = 20

Answer:e answer is 79

Step-by-step explanation:

to find the third angle subtract the angles from

180

=56°+45°

=99

third angle=180°-99°

=81°

Answer:

[tex]100 - {(3+ 4)}^{2} [/tex]

Answer:

x=34

Step-by-step explanation:

Again we are given an angle's ( x to be more specific )  opposite side length and the adjacent side length so we will use trig ratio tangent

Recall that tan = opposite over hypotenuse

[tex]tan(x)=\frac{29}{43}[/tex]

* multiply each side by the inverse of tan ( [tex](tan)^-^1[/tex] )

[tex]tan(x)*tan^-^1=x\\tan^-1*\frac{29}{43} =33.99645915\\x=33.99645915[/tex]

Finally we round to the nearest tenth of a degree and get that x = 34

Answer: A=750 +75*t

B=900 +25*t

There would be 975 students in each high school in year 3 when they are expected to have the same number of students.

Step-by-step explanation:

A = B

750 +75*t=900 + 25*t

Solving:

75*t -25*t= 900 - 750

50*t= 150

t=3

This indicates that in year 3 both High Schools are projected to have the same number of students. To get that amount, you simply replace this value in the expressions:

A=750 +75*t= 750 +75*3= 975

B=900 + 25*t=900 + 25*3= 975

There would be 975 students in each high school in year 3 when they are expected to have the same number of students.

Answer:

i think it would be (6, -6)

Step-by-step explanation:

if the letter d is already at (2, -2) you have to multiply those numbers by 3. that gives the coordinates (6, -6)

Answer:

h = 28.2 ft tall

Step-by-step explanation:

19² + h² = 34²

361 + h² = 1156

h² = 1156 - 361

h² = 795

h = [tex]\sqrt{795}[/tex]

h = 28.2

Hope this helps!

Answer:

Use the pythagorean theorem

a^2 + 19^2 = 34^2

a^2 = 28

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 3x+4 and y = x-2

3x+4 = x-2

2x+4 = -2

2x = -6

x = -3

y = -3 -2 = -5

Answer:

x=66

y=48

Step-by-step explanation:

Answer:

x=66

y=48

Step-by-step explanation:

The triangle is an isosceles

meaning to angles are the same

Angle y is found out by doing 180 subtracted from the two 66

Answer:

x = - 3, x = 2

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

x² + x - 6 = 0 ← in standard form

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2 , since

3 × - 2 = 6 and 3 - 2 = + 1 , then

x+ 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

Answer:

y=3(2)

(x:y)

-3-2÷(-2-(-1)

=-5÷2