Mathematics College


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

Answers

Answer 1
Hope this can help you .
13-18 Express The Quantity As A Single Logarithm.15. [tex]\ln 10+2 \ln 5[/tex]

Related Questions

solve for the value of k

pls help me asap

Answers

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

Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.

8 divided by the sum of 2 and a number

Answers

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!


22. 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.
(b) What is the slope of the graph and what does it represent?

Answers

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.

How much is a square mile

Answers

a square mile is equivalent to 27878400 square feet

How many solutions exist for the given equation?

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

Answers

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.

Subtract 89.768 from 201.316
show your work​

Answers

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.

Find the value of x.
Explain your answer.

Answers

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

Ollie drank 1/2 of a 16 fluid ounce bottle of juice how many cups of juice are left in the bottle explain

Answers

Answer:

Step-by-step explanation:

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

DE joins the midpoints of AB and AC. Find the value of x
and y.

Answers

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

basically what he said and mark them brainlest

The equation y - 1 =-7(x-3) is written in point-slope form. What is the y-intercept of the line?
O -4
O-2
O 20
O 22

Answers

(0,22)
Next time I’d recommend also including x coordinates, it’s just easier if you have them

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?

Answers

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.

correct answer please!


Use the numbers from the item bank to write the value of each expression.

Photo down below!

Answers

Step-by-step explanation:

4347 ÷ 21 = 207

4715 ÷ 23 = 205

5200 ÷ 25 = 208

5356 ÷ 26 = 206

Oil leaks from a tank. At hour t = 0 there are 360 gallons of oil in the tank. Each hour after that, 3% of the oil leaks out.
(a) What percent of the original 360 gallons has leaked out after 8 hours?
%
(b) if Q(t) = Q0e^kt the quantity of oil remaining after t hours, find the value of k.
k=
(c) What does k tell you about the leaking oil? Select all that apply if more than one statement is true
A. It tells what percent of oil remains after each hour.

B. It is the amount that the oil that leaks out each second.

C. Because it is less than one, we know the amount of oil in the tank is decreasing,

D. It tells by what percent of oil decays each hour.

E. Because it is negative, we know the amount of oil in the tank is decreasing.
F. It gives the continuous hourly rate at which oil is leaking.

G. None of the above

Answers

the answer is c for the question above

How do you convert joules to kJ

Answers

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.

x+3=y
what is y?
GIVING BRANLIEST

Answers

NO SOLUTIONS
There can’t be an answer if you don’t have anything to plug in!

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

Easy math what one a b c d e

Answers

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

If it take 8 cups of flour to make 4 Loaves of bread, how many loaves of bread can you make from 40 cups of flour

Answers

Answer:

20

Step-by-step explanation:

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

When designing a training plan, what do you need to think about?
A. Frequency, rest, progression
B. Moderation, progression and overtraining
C. Rest, goals, overload
D. Frequency, overtraining, time

Answers

D. Frequency, overtraining, time

Evaluate 3x+ y when x equals 1/3 and y equals -7/4. Write your answer as a fraction in simplest form.

Please help!! Thanks!!

Answers

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

Performance Task A. Directions: Solve the problem and answer the following questions. Renz' family attended a pool party. The pool is circular in shape. He wants to find out the area of the pool. If the radius is six meter, what could be the area? Fill in the blanks. 1. The radius of the pool is m 2. The diameter of the pool is __m 3. The value of pi is 4. Formula in finding the area of a circle 5. Area of the swimming pool X m²​

Answers

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

which compound inequality is equivalent to the absolute value inequality |b|>6?

Answers

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

What is an equation?

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

Find out more on equation at: https://brainly.com/question/2972832

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Answer:

Answer is A

Step-by-step explanation:

Got it right on the quiz

Look at this function:


x y
−3 −8
−2 −6
−1 −4
0 0


Matt said that the function is linear.

Justine said that the function is nonlinear.

Which of the following explains who is correct?
Matt, because for every 1-unit increase in x, there is an increase in y by 2
Matt, because for every 2-unit increase in x, there is an increase in y by 1
Justine, because the point (−3, −8) does not lie on the straight line that contains the other points
Justine, because the point (0, 0) does not lie on the straight line that contains the other points

Answers

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.

What are the possible transformations that could have been used to create the red figure A'B'C'D' from the blue
figure ABCD?
A
D'
-5-4-3-2-1. B
3 A 5 x
-2
a reflection across
the y axis followed by a translation of 5 units up and 5 units left
O a reflection across the y axis followed by a 90-degree rotation counterclockwise about the origin
a rotation of 90 degrees counterclockwise about the origin followed by a reflection across the y axis
A
5
4
3
2
B
BB
Ni
& &
2

Answers

Answer:

Second option.

Step-by-step explanation:

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

The answer is the second option

(18) (3, -2) lies on terminal side of angle (θ).

Find the EXACT value of sec (θ)

Show steps

Answers

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.

How to apply trigonometric expressions

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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PLEASE HELP ASAP WILL MARK BRAINLIEST!
Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need
to handle them separately.
(a) What is 0.47 expressed as a fraction in simplest form?
(b) What is 0.4-7 expressed as a fraction in simplest form?
(c) What is 0. -47 expressed as a fraction in simplest form?
There are lines above the seven in decimal B and the line in decimal C is above both numbers. pleaseeeee help me

Answers

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 table shows the weights (in pounds) and the prescribed dosages (in milligrams) of medicine for six patients.

Weight (lb), x Dosage (mg), y
94 72
119 90
135 103
150 115
185 140
202 156
a. Find an equation of the line of best fit. Round the slope and the y -intercept to the nearest tenth, if necessary.

y=
Question 2
Identify the correlation coefficient. Round your answer to the nearest thousandths.

Question 3
Interpret the correlation coefficient.
0 / 10000 Word Limit
Question 4
b. Interpret the slope of the line of best fit.

Question 5
c. A patient who weighs 140 pounds is prescribed 135 milligrams of medicine. How does this affect the line of best fit? Explain.

Answers

(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.

What is the equation?

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.

Learn more about the equation here:

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2 ≤ s-2 Find variable for s

Please show your work

Answers

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

What is the value of log5 125?

Answers

15 is the correct answer for this question.
The question asks, "What is the value of ㏒[tex]^5[/tex] (125)?"

The log base value is three.

"Place a number in each box so that each equation is true and each equation has at least one negative number."

Answers

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:

How do you know if a net will fold into a pyramid?

Answers

Step-by-step explanation:

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

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