1 point
Use log10 3-0.4771; log10 5 0.699010810 7 0.8451; log10 11 1.0414 to approximate the value of each expression-
log10 14710910 (147)

Answers

Answer 1

Answer:

[tex]\log_{10}(147) = 2.1673[/tex]

Step-by-step explanation:

Given

[tex]\log_{10} 3 = 0.4771[/tex]

[tex]\log_{10} 5 = 0.6990[/tex]

[tex]\log_{10} 7= 0.8451[/tex]

[tex]\log_{10} 11 = 1.0414[/tex]

Required

Evaluate [tex]\log_{10}(147)[/tex]

Expand

[tex]\log_{10}(147) = \log_{10}(49 * 3)[/tex]

Further expand

[tex]\log_{10}(147) = \log_{10}(7 * 7 * 3)[/tex]

Apply product rule of logarithm

[tex]\log_{10}(147) = \log_{10}(7) + \log_{10}(7) + \log_{10}(3)[/tex]

Substitute values for log(7) and log(3)

[tex]\log_{10}(147) = 0.8451 + 0.8451 + 0.4771[/tex]

[tex]\log_{10}(147) = 2.1673[/tex]


Related Questions

Determine which of the following equations are linear equations in x

Answers

I can’t help if you don’t tell us the equations

$66.25 divided among 4 people

Answers

the actual answer would be $16.5625 but you can just say $16.5

if 11^-x=4, what does 11^2x equal

Answers

Answer:

1/16

Step-by-step explanation:

If 11^-x=4, then 11^x=1/4.

If 11^x=1/4, then 11^2x=(1/4)^2 which equals 1/16.

What is the measure of L?
A. 390
B. 25°
C. Cannot be determined
D. 32°

Answers

Answer:

im pretty sure 25°

Step-by-step explanation:

Well the shape of an L is basically 1/4 of a rectangle. 1/4 is equal to 25 because 25 multiplied by 4 is 100. 100 divided by 4 is 25.

i think it is 25 definitely is that

The productivity of workers at a shoe factory in
pairs of shoes per hour) can be modeled using the
function p(h) = -4h + 5, where h is the number of
hours. If a worker must create at least 3 pairs of
shoes per hour for the company to be profitable,
how long should the worker's shift be?

Answers

Answer:

1/2 hour

Step-by-step explanation:

Given the productivity function measured in pairs of shoes per hour ;

P(h) = - 4h + 5

h = number of hours

Number of hours required to create 3 pairs of shoes :

Put P(h) = 3 in the equation :

3 = - 4h + 5

3 - 5 = - 4h

-2 = - 4h

-2/-4 = - 4h/-4

0.5 = h

1/2 an hour = 30 minutes

Find the value of x.

Answers

Answer:

x = 3

Step-by-step explanation:

A midsegment in a trapezoid is formed when one connects the midpoints of the two legs (non-parallel sides) in a trapezoid. The midsegment theorem states that the length of the midsegment is equal to the average of the two bases (that is the parallel sides).

One can apply the midsegment theorem here by stating the following;

[tex]\frac{(YZ)+(TM)}{2}=PW[/tex]

Substitute,

[tex]\frac{23+11x+2}{2}=29[/tex]

Simplify,

[tex]\frac{25+11x}{2}=29[/tex]

Inverse operations,

[tex]\frac{25+11x}{2}=29[/tex]

[tex]25+11x=58\\\\11x = 33\\\\x = 3[/tex]

What is the scare root of 85 roused to nearest tenth?

Answers

Answer:

9.2

Step-by-step explanation:

You can do this calculation with a calculator by taking the square root of 85.

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

9.2

»»————- ★ ————-««  

Here’s why:

Assuming that you mean "the square root of 85 rounded to the nearest tenth..."  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\\rightarrow \sqrt{85} = 9.21954445729....[/tex]

⸻⸻⸻⸻

Since the digit to the right of the tenth (the 1) is less than or equal to four, we round down.

⸻⸻⸻⸻

[tex]9.21954445729...\approx\boxed{9.2}[/tex]

⸻⸻⸻⸻  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.

Which of the following is an acute triangle?
70
30*
24°
45
126
132
36°
90°
45
559 55°
Triangle A
Triangle B
Triangle C
Triangle D
A. Triangle B
B. Triangle A
O
C. Triangle C
O.
D. Triangle D

Answers

Triangle A.
The angle is less that 90 degrees.

The correct answer will be option (B) Triangle A

Acute triangle

An acute-angled triangle is a type of in which all the three internal angles of the triangle are acute, that is, they measure less than 90°

How to solve this problem?

The steps are as follow:

In acute triangle the the internal angle should not or greater than 90 degreeIn triangle B one of internal angle is 126 degree which is greater than 90 degree so it is not acute triangleOne internal angle of triangle C is 90 degree so it is also not acute triangleFor triangle D one angle is 132 degree which is greater than 90 degree so it also not acute triangleIn triangle A all the internal angle is less than 90 degree so it is acute triangle

So the triangle A is acute triangle

Learn more about Acute triangle here:

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what is the value of c? enter your answer in the box. round only your final answer to the nearest whole number.

Answers

Answer:

c ≈ 21

Step-by-step explanation:

By applying cosine rule in the given triangle ABC,

c² = a² + b² - 2abcos(C)

c² = (17)² + (10)² - 2(17)(10)cos(98.8°)

c² = 289 + 100 - 340(-0.1530)

c² = 441.015

c = 21

c ≈ 21

to have batting average over 0.500. how many hits in 45 times at bat would raul or karen need?

Answers

We need to round this up to make sure it is still above 0.5 so they would need 23 hits at 45 times at bat.

The graph of f(x)=x^2 is shown. Compare the graph of f(x) with the graph of g(x)=x^2+8

Answers

Answer:

D

Step-by-step explanation:

Number 8 is not related to the x, but is related to the the function. so g(x) is 8 units above f (x)

Answer:

D. 8 units above the graph

Step-by-step explanation:

y = mx + b

this formula is basically y = x^2 + 8

+8 part means where it is on the y axis

if it were y = (x+6)^2 + 8

it would also be on 6 places to the left on the x axis

I don’t understand these problems

Answers

Both E and F are sets.

E = {w | w ≤ 2}

means that E is the set of all numbers w satisfying the condition that w ≤ 2. In other words, E contains all real numbers less than and including 2.

Similarly,

F = {w | w > 9}

is the set of all real numbers strictly greater than 9.

The intersection of E and F, denoted EF, is the set that contains the overlap of the two sets, or all the numbers that are common to both sets. In this case, EF is the empty set; this is because all numbers small than 2 cannot be larger than 9, so EF = ∅.

The union of E and F, written as EF, is the set containing all elements from both sets. In interval notation, E = (-∞, 2] and F = (9, ∞), so EF = (-∞, 2] ∪ (9, ∞).

Heeeeeeelp please ;-;

Answers

t value lies between (2,3) so, answer is option d

Which of the following expressions is not equivalent to the others?

Answers

Answer:

Im going to guess the second one

Step-by-step explanation:

It's the only one that does not have more than one negative fraction.

the answer is C all the other ones are 2/27 but the third one which equals -1/9

An equation, f, has a domain of all whole numbers and has a range of all real numbers. A) Does the equation
represent a function? B) Explain why or why not. C) provide examples in either case, (and include your reasoning why
you chose this equation for your example.)

Answers

Answer:

f is not a function

Step-by-step explanation:

Given

Domain: Whole numbers

Range: Real numbers

Required

Is f a function

Base on the given parameters, f is not a function because:

There are more real numbers than whole numbers

And this implies that at least one element in the domain will have more than one corresponding elements in the range. i.e. one-to-many or many-to-many relationship

For a relation to be regarded as a function, the relationship has to be one-to-one or many-to-one

i.e. 1 or many domain elements to 1 element in the range.

An example is:

[tex]\begin{array}{ccccc}x & {1} & {9} & {9} & {0} \ \\ f(x) & {1.5} & {3.2} & {-3.5} & {0.1} \ \end{array}[/tex]

In the above function

The domain (i.e. x values) are whole numbers

The range (i.e. y values) are real numbers

However,

9 points to 3.2 and -3.5

So, the relation is not a function.

you have to find ABC and I'm not sure how to any help is appreciated ​

Answers

Hello,

Since (BD) bissects angle ABC,

18-x=26-3x

2x=8

x=4

18-x=18-4=14

m angle ABC=14°*2=28°

testing for a disease can be made more efficient by combining samples. If the samples from two people are combined and the mixture tests​ negative, then both samples are negative. On the other​ hand, one positive sample will always test​ positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.15​, find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely​ necessary?w./search?q=%E2%80%8B"At+least%E2%80%8B+one"+is+equivalent+to%E2%80%8B+_______.&oq=%E2%80%8B"At+least%E2%80%8B+one"+is+equivalent+to%E2%80%8B+_______.&aqs=chrome..69i57j0i22i30l3.409j0j4&sourceid=chrome&ie=UTF-8 The probability of a positive test result is nothing

Answers

Answer:

(a) [tex]P(Two\ Positive) = 0.2775[/tex]

(b) It is not too low

Step-by-step explanation:

Given

[tex]P(Single\ Positive) = 0.15[/tex]

[tex]n = 2[/tex]

Solving (a):

[tex]P(Two\ Positive)[/tex]

First, calculate the probability of single negative

[tex]P(Single\ Negative) =1 - P(Single\ Positive)[/tex] --- complement rule

[tex]P(Single\ Negative) =1 - 0.15[/tex]

[tex]P(Single\ Negative) =0.85[/tex]

The probability that two combined tests are negative is:

[tex]P(Two\ Negative) = P(Single\ Negative) *P(Single\ Negative)[/tex]

[tex]P(Two\ Negative) = 0.85 * 0.85[/tex]

[tex]P(Two\ Negative) = 0.7225[/tex]

Using the complement rule, we have:

[tex]P(Two\ Positive) = 1 - P(Two\ Negative)[/tex]

So, we have:

[tex]P(Two\ Positive) = 1 - 0.7225[/tex]

[tex]P(Two\ Positive) = 0.2775[/tex]

Solving (b): Is (a) low enough?

Generally, when a probability is less than or  equal to 0.05; such probabilities are extremely not likely to occur

By comparison:

[tex]0.2775 > 0.05[/tex]

Hence, it is not too low

A large bottle of water is leaking. The amount of ounces left in the bottle is shown in the function [tex]O(s) = 72-3s[/tex] is the amount of ounces left, and s is the number of seconds that is the water is leaking out. What is a reasonable domain and range for this function?

Answers

9514 1404 393

Answer:

  D: [0, 24]

  R: [0, 72]

Step-by-step explanation:

The function only makes sense for non-negative values of time or water volume. The intercepts of the function are ...

  y-intercept: 72

  x-intercept: 72/3 = 24

so the reasonable domain is 0 ≤ s ≤ 24,

and the corresponding range is 0 ≤ O(x) ≤ 72.

PLEASE I NEED HELP!!!!!



Find the volume of this sphere.
Use 3 for TT.
L-r=3ft
V [?]ft3
V = Tr3

Answers

Answer:

113.1 =VOLUME , 4/3 X 3.14 (3) ^3 = 113.1

find the length of side AB

Answers

Answer:

AB = 5.6 cm

Step-by-step explanation:

Reference angle (θ) = 62°

Hypotenuse = 12 cm

Adjacent = AB

Apply the trigonometric ratio formula, CAH, which is:

Cos θ = Adj/Hyp

Plug in the values

Cos 62° = AB/12

12*Cos 62° = AB

5.63365876 = AB

AB = 5.6 cm (1 decimal place)

A swimming pool is circular with a 20-ft diameter. The depth is constant along east-west lines and increases linearly from 1 ft at the south end to 6 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.)

Answers

Answer:

1100 ft³

Step-by-step explanation:

Use the formula for the volume of a cylinder. For height, use the average of the minimum and maximum depths.

V = πr²h

r = d/2 = 20 ft/2 = 10 ft

h = (1 ft + 6 ft)/2 = 3.5 ft

V = π(10 ft)²(3.5 ft)

V = 1100 ft³

Type the expression that results from the following series of steps: Start with y times by 4 then add 9.

Answers

Answer:

4y + 9

Step-by-step explanation:

"y times 4" means 4y because 4*y = 4y

And then "add 9."

Which would be 4y + 9.

Answer:

4y + 9

Step-by-step explanation:

y times 4 = 4y

add 9 = + 9

PLEASE HELP!!!

A television is purchased by a company for $210. They mark up the price by 55%. What is the selling price? Show two different ways to solve this problem.​

Answers

Answer:

$325.50

Step-by-step explanation:

1) 210÷100 = 2.1

  2.1×55 = 115.5

  210 + 115.5 = 325.5

2) 210×55 = 11550

   11550÷100 = 115.5

   210 + 115.5 = 325.5

Tory and Emilio's motorboats travel at the same speed Tory pilots her boat 60 km before docking Emilio continues for another 4 hr traveling a total of 120 km before docking How long did it take Tory to navigate the 60 km?
It took Tory hr to navigate the 60 km
(Simplify your answer. Type an integer, a mixed numeral or a fraction)

Answers

Answer:

2 hours

Step-by-step explanation:

Since Tory and Emilio's motorboats travel at the same speed, they are traveling at the speed of 30 km/h. Therefore, it should take Tory two hours to travel 60 km.

Tory took 2 hours to navigate the 60 kilometers.

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given:

Tory pilots her boat 60 km before docking.

Emilio continues for another 4 hours traveling, a total of 120 km before docking.

The speed of Emilio's boat = 120 / 4 = 30 kilometers per hour.

Tory and Emilio's motorboats travel at the same speed.

Tory's boat speed,

= 60/30 = 2 hours.

Therefore, Tory takes 2 hours.

To learn more about the speed;

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find the least common multiple of two two-digit numbers. SHOW WORK

Answers

Answer:

The LCM of 20 and 30 is 60.

Step-by-step explanation:

LCM means the least common multiple.

The LCM of two numbers means the least multiple both numbers share.

Use the listing method:

Multiples of 20:

20, 40, 60, 80, 100, ......

Multiples of 30:

30, 60, 90, 120, 150, ...

The LCM is 60 because that is the least common multiple 20 and 30 have.

Hope this helps

Can someone please help lol

Answers

Answer:

the range the score is 59 is the correct answer

Step-by-step explanation:

Range is the largest no minus the smallest no...so 59 is the largest minus 0 the smaller number

Show all the steps to solve the following
942.6 - 19.734

Answers

Answer:

922.868

Step-by-step explanation:

1. Thousandth place of 942.6002. Subtracting

[tex]942.600-19.732=922.868[/tex]

If the actual price in this market were below
the equilibrium price, what would drive the
market toward the equilibrium?

Answers

Step-by-step explanation:

If the price is below the equilibrium level, then the quantity demanded will exceed the quantity supplied. Excess demand or a shortage will exist. If the price is above the equilibrium level, then the quantity supplied will exceed the quantity demanded. Excess supply or a surplus will exist.Whenever markets experience imbalances—creating disequilibrium prices, surpluses, and shortages—market forces drive prices toward equilibrium. A surplus exists when the price is above equilibrium, which encourages sellers to lower their prices to eliminate the surplus.

The number 55 is attached to a two-digit number to its left and the formed 4-digit number is divisible by 24. What could be the 2-digit number? List all options

Answers

the answer will be 44 I think I hoped I helped if not sorry.

PLEASE HELP THIS IS MY LAST QUESTIONNNN
- The electric company charges Dalton a monthly service fee of $30 plus $0.15 per kilowatt-hour of electricity used. This month, Dalton's bill is $105.

- How many kilowatt-hours of electricity did Dalton use?

Answers

500 kwh

$105 - $30 = $75

$75 / $0.15 = 500

Answer:

$105-$30 service fee, this leaves only the electricity used. $75. now to find how many kilowatt hours used you divide $75/.15=500 answer 500 kilowatt hours.

Step-by-step explanation:

see above

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