13-18 Express the quantity as a single logarithm.
15. [tex]\ln 10+2 \ln 5[/tex]

Answer:

-3/4

Step-by-step explanation:

Put in the values for 'x' and 'y'

3 * (1/3) +  (-7/4)

   1        -  7/4

4/4       - 7/4

(4-7)/4   = -3/4

Answer:

20

Step-by-step explanation:

Since 8 x 5 is 40, we can multiply 4 x 5 to get 20.

Answer:

Step-by-step explanation:

1 cup is left because 16 ounces is 2 cups so half would be one

Answer:

problem 14 = E

Step-by-step explanation:

well that's all ther is to it, it's E because y or x being 0 would make the equation undefined

Answer:

x=1, y=-1

Step-by-step explanation:

Given the equation:

where x and y are the blank boxes.

We want to find

A positive value of x

A negative value of y

That makes the equation true.

If x=1, y=-1

This can be confirmed using addition law of indices()

In general, any pair of a number and its negative value will satisfy the equality.

Step-by-step explanation:

By applying fundamental and derivate trigonometric expressions it is to be concluded that the secant of the line segment whose terminal side is (3, - 2) is approximately 1.202.

Trigonometric expressions are trascendent expressions derived from relationships between sides of the triangle contained in a goniometrical diagram.

There are at least six trigonometric expressions: sine, cosine, tangent, cotangent, secant, cosecant. The first two expressions are fundamental, whereas the rest are derived from them.

We can derive an expression for the secant of the angle by applying trigonometric expressions:

[tex]\sec \theta = \frac{1}{\cos \theta} = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex]     (1)

If we know that x = 3 and y = - 2, then the secant of the angle is:

[tex]\sec \theta = \frac{\sqrt{3^{2}+(-2)^{2}}}{3}[/tex]

sec θ ≈ 1.202

By applying fundamental and derivate trigonometric expressions it is to be concluded that the secant of the line segment whose terminal side is (3, - 2) is approximately 1.202.

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Step-by-step explanation:

4347 ÷ 21 = 207

4715 ÷ 23 = 205

5200 ÷ 25 = 208

5356 ÷ 26 = 206

a square mile is equivalent to 27878400 square feet

Answer:

There isn't a way to solve for y but I can give you this

Step-by-step explanation:

Slope=1

x-intercept is -3/1

y-intercept is 3/1

Answer:

111.548

-------------------------------

Subtract 201 from 89.

[tex]201 - 89 = 112[/tex]

we can estimate the answer will be close to 112

Next, work with the decimals. Note that the more you subtract, the bigger the decimal places get.

[tex]0.768 - 0.316 = 0.452[/tex]

Round 0.452 up from the hundredths place to nearest tenths place.

[tex]0.452 = 0.5[/tex]

Since the decimal place is bigger, estimate 0.55 instead.

Subtract 0.22

[tex]0.55 - 0.2 = 0.548[/tex]

Add this number to 112

[tex]112 + 0.548 = 112.548[/tex]

Subtract 1 because of the estimate.

[tex]112 - 1 = 111[/tex]

Therefore, we have 111.548 based off of subtracting and estimating in a specific method.

Answer:

0

Step-by-step explanation:

3x+13 = 3(x+6)+1

3x+13=3x+19

13=19

This is never true so there are 0 solutions

If the x's didnt cancel out, you could use the fundemental theorom of algebra, which states that in the simplest form(nothing will cancel out anymore), the highest degree(highest power) on a variable is the number of solutions.

Answer:

Divide by 1000.

Step-by-step explanation:

For example, 1 joule is 0.001 kilo joule.

1 divided by 1000 is 0.001.

If there were 30 joules, there would be 0.032 kilo joules.

A small-appliance manufacturer finds that it costs $9000 to produce 1000 toaster ovens a week and $12,000 to produce 1500 toaster ovens a week.

Answer:

Step-by-step explanation:

The hypotenuse is 16 and the adjacent angle is x.

So using SohCahToh

O is opposite, H is the hypotenuse, and A is adjacent.

Soh: sin(theta)= O/H

Cah: cos(theta)= A/H
Toh: tan(theta)= O/A

Any side length that is next to degree 60° is adjacent so x is adjecent.

Using Cah.

cos(theta)= A/H

cos(60°)= x/16

x=16*cos(60°)

x=16*1/2

x=8

The compound inequality equivalent to the absolute value inequality |b|>6 is b > 6, and b < -6

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the inequality:

|b| > 6

Hence:

b > 6 and -b > 6

b > 6, and b < -6

The compound inequality equivalent to the absolute value inequality |b|>6 is b > 6, and b < -6

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Answer:

Answer is A

Step-by-step explanation:

Got it right on the quiz

Answer:

∂x. )2 + (. ∂z. ∂y. )2 = √1 +. 1. 9. +. 1. 4. = 7/6. Then the area of S is found by calculating the surface integral over S for the function f(x, y, z) =

hope this helps

Answer:

s <= 4

Step-by-step explanation:

First we re arrange

s - 2 >= 2

a-2+2>=2+2

a>=2+2

a>=4

Answer:

8/x+2 or   [tex]\frac{8}{2+x}[/tex]

Step-by-step explanation:

To answer, carefully read the question and pick up on key words like "sum." To begin, we know that "sum" means addition, therefore the sum of 2 and a number (which will be replaced by the variable x) is equivilent to 2 + x. Furthermore, we know that 8 is being divided by the sum. So, the final expression should be  [tex]\frac{8}{2+x}[/tex] . Good luck!

Answer: 144 meters

Step-by-step explanation: area of circle = r^2

6^2 = 36 = 144 Meters given = 4

radius of pool is 6 meters

diameter of pool is 12 meters

= 4

area of circle = r^2

area of swimming pool is 144 meters

Answer:

See below

Step-by-step explanation:

a)   47/100

b)  .4777777.....   =x

      then 10x = 4.77777....

      100x = 47.777777 ....   now subtract 10x to get

          90x = 43

             x = 43/90

c) .4747474747......   = x

        100x = 47.474747    now subtract x to get

          99x = 47

             x = 47/99

The log base value is three.

Answer:

x = 6

y = 4

Step-by-step explanation:

2(4x + 1) = 11x - 16

8x + 2 = 11x - 16

8x + 2 + 16 = 11x - 16 + 16

8x + 18 = 11x

8x + 18 - 8x = 11x - 8x

18 = 3x

6 = x

5y + 4 = 8(y - 1)

5y + 4 = 8y - 8

5y + 4 + 8 = 8y - 8 + 8

5y + 12 = 8y

5y + 12 - 5y = 8y - 5y

12 = 3y

4 = y

Justine, because the point (0, 0) does not lie on the straight line that contains the other points.

Explanation:

See the graph below. The following coordinates are not in a stright line.

Hence, it is a non linear function. Justine is right.

When drawn a straight line. the coordinates: (0,0) does not lie on the line.

Question:

A bucket of water was 1/2 full, but it still had 3 and 3/5 gallons of water in it. How much water would be in one fully filled bucket?

Answer:

7 1/5

Step-by-step explanation:

The bucket was halfway full. It still had 3 3/5 gallons in it. So all you'd have to do is multiply 3 3/5 by 2. Here is the actual work for proof:

3 3/5 × 2 =  

18/5 × 2 =  

18 × 2

5 × 1 =  

36/5 = 7 1/5.

Answer:

Second option.

Step-by-step explanation:

A reflection across the y axis followed by a counterclockwise rotation around the origin.

Step-by-step explanation:

A pyramid is made when 4 triangle meet on square then mate on each together .

Answer:

k=13

Step-by-step explanation:

We know that

straight angle is equal to 180⁰

(4k-7)⁰+90⁰+(3k+6)⁰=180⁰

4k-7+3k+6=90

7k=91

k=13

I hope it helped you

(A) Using calculator, the equation of the line of best fit is y=0.77x-1.1y=0.77x−1.1 and correlation coefficient is 0.9990.999

The relationship is strongly positive as correlation coefficient is very close to +1.

Step 2

(B) The slope of best fit gives the change in dosage for a unit (lb) increase in weight of patient. We find that the dosage increases by about 0.77 mg for a unit increase in weight of patient.

Step 3

(C) Adding observation (140, 135)(140,135) to the data set. the regression line changes to y=6.12+0.75xy=6.12+0.75x. It increases the intercept but decreases slope.

But the correlation falls to 0.9340.934, weakening the relationship. This happens as the observation is an outlier.

Result

a. y=0.77x-1.1y=0.77x−1.1, strong positive relationship

b. represents change in dosage for a unit increase in weight

c. regression line changes to y=6.12+0.75xy=6.12+0.75x.

(A) The line of best fit's equation is y=0.77x-1.1y=0.77x1.1, and the correlation coefficient is 0.9990.999. The correlation coefficient is near +1, indicating that the link is positive.

The definition of an equation in algebra is a mathematical statement demonstrating the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Step 2

(B) The change in dosage for a unit (lb) increase in patient weight is indicated by the best-fit slope. We discover that for every unit increase in patient weight, the dosage rises by around 0.77 mg.

Step 3

(C) Including observation (140, 135) in the data set. y=6.12+0.75xy=6.12+0.75x is the new value of the regression line. Although the slope is reduced, the intercept is increased.

However, the link is weakened when the correlation drops to 0.9340.934. This occurs because the observation is an anomaly.

Result

a. Strong positive association, y=0.77x-1.1y=0.77x1.1

B. indicates a dose modification for a unit weight increase

C. y=6.12+0.75xy=6.12+0.75x is the new value of the regression line.

Therefore, y=0.77x-1.1y=0.77x1.1 is the equation for the line of best fit, and the correlation coefficient is 0.9990.999.

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