7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)
by logarithm laws
​

Answer:

The literals are; a, b, and c

The constants are; c, and 3

The variables are; x, and y

Step-by-step explanation:

The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied

The given equation is a·x² + b·x + c - y + 3 = 0

The literals are;

'a', 'b', and 'c'

The constants are the values that remain the same always in an equation and does not change

The constants are;

'c', and '3'

The variables are the values that vary in relation to one another

The variables are;

'x', and 'y'

Answer:

232

Step-by-step explanation:

In picture

Brainliest please

Answer:

A. y=-6

Step-by-step explanation:

Using the answer, it would make a horizontal line which would be perpendicular to the y axis.

Area = Length x width

Area of carpet = 6 x 6 = 36 square meters

Cost of carpet per square meter = total cost / area

Cost per square meter: 390 / 36 = £10.83

Area of room = 5 x 5 = 25 square meters.

Area of rug not used = area of room subtracted from area of carpet:

36 - 25 = 11 square meters

Cost of the carpet not used = area of carpet not used x cost per square meter

11 x 10.83 = 119.13

ANSWER: £119.13

Answer:

Area = Length x width

Area of carpet = 6 x 6 = 36 square meters

Cost of carpet per square meter = total cost / area

Cost per square meter: 390 / 36 = £10.83

Area of room = 5 x 5 = 25 square meters.

Area of rug not used = area of room subtracted from area of carpet:

36 - 25 = 11 square meters

Cost of the carpet not used = area of carpet not used x cost per square meter

11 x 10.83 = 119.13

ANSWER: £119.13

Step-by-step explanation:

Answer:

perpendicular

Step-by-step explanation:

start but putting each line into the standard line format

2x-y=-5

-y=-2x-5

y=2x+5

x+2y=-6

2y=-x-6

y=-(1/2)x-3

if lines are parallel the slopes would be the same. 2 is not equal to -1/2

if lines are perpendicular the slope of one would be the opposite inverse of the other.

negative inverse of 2 = - (1/2)

so the lines are perpendicular

Answer:

5/2

Step-by-step explanation:

The slope of this equation is 5/2

Answer:

BC= 5 units

Step-by-step explanation:

Answer:

74 deg

Step-by-step explanation:

Ok, so this is a bunch of steps.

Answer:

(3, 0)

Step-by-step explanation:

A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.

The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:

[tex]4p(y-k)=(x-h)^2[/tex]

The directrix is at y = k - p, and focus is at (h, k + p).

Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:

[tex]-\frac{1}{16}(x-3)^2+4=y\\\\(y-4)= -\frac{1}{16}(x-3)^2\\\\-16(y-4)=(x-3)^2\\\\[/tex]

Comparing with the standard form:

The center = (h, k) = (3, 4)

Also, -16 = 4p

p = -4

Directrix is at y = k - p = 4 - (-4) = 8

Directrix is at y = 8

The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)

The focus is at (3, 0)

Answer:

a solution of the system is the point that satisfies both the equations

(1, -1) is a solution of the system

Answer:

whats?

Step-by-step explanation:

Answer:

19/2 and 7.25

Step-by-step explanation:

1.

19/2=9.5

2×9.5+5.5=

19+5.5=

24.5

24.5 <20

verified

2.

2×7.25+5.5<20

14.50+5.5 <20

20 <20

verified

please mark as brainliest answer

Answer:

ok for this what we need to do is just do the equation

y=2x+3

with the x inserted

y=2*-2+3

y=-1

y=2*0+3

y=3

y=2*1+3

y=5

y=2*3+3

y=9

this is the answer from left to right

y=-1,y=3,y=5,y=9

Answer:

150°

Step-by-step explanation:

2x+x+90=180

3x=90

x=30

z= 180-x = 180-30 = 150°

Answer:

the other number to get the quotient

Answer:

3rd option

Step-by-step explanation:

The equation of a line in point slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Given

y - 4 = [tex]\frac{1}{4}[/tex] (x - 8)

with m = [tex]\frac{1}{4}[/tex] and (a, b) = (8, 4 )

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute (8, 4) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = [tex]\frac{1}{4}[/tex] x + 2 ← equation in slope- intercept form

Answer:

239

Step-by-step explanation:

SP is the diameter so Arc RP is supplementary to Arc SR

[tex]31 + x = 180[/tex]

[tex]x = 149[/tex]

Arc PQ is supplementary to Arc SQ so

[tex]90 + x = 180[/tex]

[tex]x = 90[/tex]

Arc Addition:

[tex]149 + 90 = 239[/tex]

Answer:

[tex]a = 18x[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}(a + d) = 10x[/tex]

[tex]\frac{1}{2}(b + c) = 8x[/tex]

[tex]\frac{1}{3}(b + c+d) = 6x[/tex]

Required

The value of (a)

We have:

[tex]\frac{1}{2}(a + d) = 10x[/tex] --- multiply by 2

[tex]\frac{1}{2}(b + c) = 8x[/tex] --- multiply by 2

[tex]\frac{1}{3}(b + c+d) = 6x[/tex] --- multiply by 3

So, we have:

[tex]\frac{1}{2}(a + d) = 10x[/tex]

[tex]a + d = 20x[/tex]

[tex]\frac{1}{2}(b + c) = 8x[/tex]

[tex]b + c = 16x[/tex]

[tex]\frac{1}{3}(b + c+d) = 6x[/tex]

[tex]b + c + d= 18x[/tex]

Substitute [tex]b + c = 16x[/tex] in [tex]b + c + d= 18x[/tex]

[tex]16x + d = 18x[/tex]

Solve for d

[tex]d = 18x - 16x[/tex]

[tex]d = 2x[/tex]

Substitute [tex]d = 2x[/tex] in [tex]a + d = 20x[/tex]

[tex]a + 2x = 20x[/tex]

Solve for (a)

[tex]a = 20x - 2x[/tex]

[tex]a = 18x[/tex]

Answer:

4.84 pi

Step-by-step explanation:

[tex]area = \pi \times {r}^{2} [/tex]

Answer:

484pim^2(d)

Step-by-step explanation:

pir^2

pi(22)^2

484pi

Answer:

[tex]cot\theta=-\frac{5}{12}[/tex]

Step-by-step explanation:

We are given that the point (5,-12) lies on the terminal side of an angle theta in standard position.

We have to find the exact value of [tex]cot\theta[/tex].

Let

Point (x,y)=(5,-12)

[tex]r=\sqrt{x^2+y^2}[/tex]

Substitute the values

[tex]r=\sqrt{5^2+(-12)^2}[/tex]

[tex]r=\sqrt{169}=13[/tex]

We know that

[tex]cot\theta=\frac{x}{y}[/tex]

Using values

[tex]cot\theta=-\frac{5}{12}[/tex]

Answer:

the second one

Step-by-step explanation:

its the sum oh 90

Answer:

$600

Step-by-step explanation:

2500+625+625+2500=6,250

625/6,250=.10 or 10%

6000x.10=600

Answer:

6

Step-by-step explanation:

f(2) = (2 + 1)2

(3)2

6

Answer:

6

Step-by-step explanation:

f(2) = (2+1)*2, f(2) = 3*2 = 6

Answer:

[tex]\frac{n+t}{4}[/tex]

Step-by-step explanation:

(n+t) divided by 4

The equation would be [tex]\frac{n+t}{4}[/tex]

Hope this helps

Answer:

(n+t)/4

Step-by-step explanation:

Answer:

1. The new weight of elephant is 5.342 tones.

3. The number of red flowers are 280.

Step-by-step explanation:

1. weight of elephant = 6 tons

weight lost = 1450 pounds

As , 1 pound = 0.000454 ton

So, 1450 pounds = 0.658 ton

The new weight of elephant is

= 6 - 0.658 = 5.342 tones

3.

red flower to the yellow flower is 5 : 7

Number of yellow flowers = 392

Let the red flowers are R.

So,

[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]

Answer:

C. Divide both sides of the inequality by 4 but don't flip the symbol.

Step-by-step explanation:

When you solve an inequality, you have to get the x by itself. So, in this inequality, the first thing you would do is divide both sides of the inequality by 4. The new and solved equation would look like this:

x ≥ -6

Because multiplying by a negative, dividing by a negative, or having negatives on both sides of the inequality was not involved in solving for x, flipping the symbol is not needed.

I really hope this helps! Have an amazing day :3

Answer:

Step-by-step explanation:

Remember that the mean is average

Ex. Set A

Add then divide by the 8

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{9\times10^5}{10\times10^3}}[/tex]

[tex]\mathsf{10^5}[/tex]

[tex]\mathsf{= 10\times10\times10\times10\times10}[/tex]

[tex]\mathsf{= 100\times100\times10}[/tex]

[tex]\mathsf = 10,000\times10}[/tex]

[tex]\mathsf{=\bf 100,000}[/tex]

[tex]\mathsf{10^3}[/tex]

[tex]\mathsf{= 10\times10\times10}[/tex]

[tex]\mathsf{= 100\times10}[/tex]

[tex]\mathsf{= \bf 1,000}[/tex]

[tex]\mathsf{\dfrac{9\times100,000}{10\times 1,000}}[/tex]

[tex]\mathsf{9\times100,000 = \bf 900,000}[/tex]

[tex]\mathsf{10 \times 1,000 = \bf 10,000}[/tex]

[tex]\mathsf{\dfrac{900,000}{10,000}}[/tex]

[tex]\mathsf{= \bf 90}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 90}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]