Given log32≈0.631 and log37≈1.771, what is log314

Answers

Answer 1

Answer:

the log to the base 3 of 14 is 2.402

Step-by-step explanation:

You must find a way to indicate that 3 is the base; you cannot run this '3' together with 2, 7 or 14.

Example:  

log to the base 3 of 2 = 0.631

log to the base 3 of 7 = 1.771

Note that 2 times 7 is 14.  Thus, to obtain the log to the base 3 of 14, we must ADD the two logs shown above:

0.631

+1.771

----------

2.402

Thus, the log to the base 3 of 14 is 2.402.

Check:  Does 3^2.402 = 14?  YES


Related Questions

Find the value of the test statistic to test for a difference in the areas. Round your answer to two decimal places, if necessary.

Answers

Answer:

hello your question has some missing parts attached below is a picture of the complete question

Answer : 3.59

Step-by-step explanation:

Calculating the standard deviation, mean and standard error of the hourly wages

Area 1 : mean = 12.75 , std = 4.9497 , std error = 1.75

Area 2 : mean = 18.25, std = 4.3671,  std error = 1.54399

Area 3 : mean = 16.25, std = 2.8660, std error = 1.01330

mean = sum of terms / number of terms

std = [tex]\sqrt{}[/tex] (X − μ)2 / n

std error = std / [tex]\sqrt{n}[/tex]

The value of the test statistic to test for a difference in the areas is

3.59 ( using anova table attached below )

PLEASE ANSWER ASAP!!!


Melissa is able to Rollerblade 100 feet in 3.8 seconds. Calculate how fast she Rollerblade in miles per hour?


Answers options given will be in picture



any unrelated answer will be reported​

Answers

Answer:

A

Step-by-step explanation:

100fps=68.182mph

68.182/3.8=17.94

Mellissa's speed will be 17.94 mph.

What is speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

It is given that Melissa is able to Rollerblade 100 feet in 3.8 seconds.

We know that 100fps is equal to 68.182mph.

Mellissa's speed in meters per hour is calculated as:-

S = 68.182/3.8=17.94mph

Therefore, Mellissa's speed will be 17.94 mph.

To know more about Speed follow

https://brainly.com/question/6504879

#SPJ2

Sarah needs to go to five different stores. How many ways can she go to two of them before lunch?

Answers

Answer:

10

Step-by-step explanation:

Solution 1: At first, you might think that because there are 5 ways to choose the first store and 4 ways to choose the second store, the answer is 5 * 4 = 20 but this is over-counting by a factor of 2. Say that two of the stores are A and B. If she went to A then B, that's the same as going to B then A since you still go to the same stores, therefore, the answer is 20 / 2 = 10.

Solution 2: We need to find the number of ways to choose 2 stores from 5, we can do this by calculating ₅C₂ which equals:

5! / 2!  * 3!

= 5 * 4 * 3 * 2 * 1 / 2 * 1 * 3 * 2 * 1

= 5 * 4 / 2 * 1

= 10

The local resale store buys used designer jeans for $15. The
store increases their purchase price by 400%. What is the
sale price of the designer jeans?​

Answers

the answer to your question is $75

What is the name of a geometric figure that looks an orange


A. Cube

B. Sphere

C. Cylinder

D. Cone

Answers

Answer:

b . sphere

Step-by-step explanation:

10. (01.02)
Given the function f(x)
3x - 4
5
which of the below expressions is correct? (1 point)
5x+4
f-1(x) =
3
f-1(x)
5x - 4
3
O f-'(x)
-344
-3x – 4
5
4–3x
f-1(x) =
5

Answers

Answer:

5x+4f-1(x)=3 this is short answer

h(x) = -x² + 3x + 10

Answers

Answer:

x = 5 or x = -2 or 3 - 2 x (derivative)

Step-by-step explanation:

Solve for x over the real numbers:

-x^2 + 3 x + 10 = 0

Multiply both sides by -1:

x^2 - 3 x - 10 = 0

x = (3 ± sqrt((-3)^2 - 4 (-10)))/2 = (3 ± sqrt(9 + 40))/2 = (3 ± sqrt(49))/2:

x = (3 + sqrt(49))/2 or x = (3 - sqrt(49))/2

sqrt(49) = sqrt(7^2) = 7:

x = (3 + 7)/2 or x = (3 - 7)/2

(3 + 7)/2 = 10/2 = 5:

x = 5 or x = (3 - 7)/2

(3 - 7)/2 = -4/2 = -2:

Answer: x = 5 or x = -2

____________________________________

Find the derivative of the following via implicit differentiation:

d/dx(H(x)) = d/dx(10 + 3 x - x^2)

Using the chain rule, d/dx(H(x)) = ( dH(u))/( du) ( du)/( dx), where u = x and d/( du)(H(u)) = H'(u):

(d/dx(x)) H'(x) = d/dx(10 + 3 x - x^2)

The derivative of x is 1:

1 H'(x) = d/dx(10 + 3 x - x^2)

Differentiate the sum term by term and factor out constants:

H'(x) = d/dx(10) + 3 (d/dx(x)) - d/dx(x^2)

The derivative of 10 is zero:

H'(x) = 3 (d/dx(x)) - d/dx(x^2) + 0

Simplify the expression:

H'(x) = 3 (d/dx(x)) - d/dx(x^2)

The derivative of x is 1:

H'(x) = -(d/dx(x^2)) + 1 3

Use the power rule, d/dx(x^n) = n x^(n - 1), where n = 2.

d/dx(x^2) = 2 x:

H'(x) = 3 - 2 x

Simplify the expression:

Answer:  = 3 - 2 x

[tex]f(x) = sqr root x+3 ; g(x) = 8x - 7[/tex]

Find (f(g(x))

Answers

[tex]f(x)=\sqrt{x+3}\\g(x)=8x-7\\\\f(g(x))=\sqrt{8x-7+3}=\sqrt{8x-4}[/tex]

Find the equation of the line passing through the pair points (-8,6) (-9,-9). The equation of the line in the form is Ax+By=C.

Answers

Answer:

15x - y = - 126

Step-by-step explanation:

will make it simple and short

first we need to find the slope (m) first in order to get the equation

given: (-8,6) (-9,-9)

                     y2 - y1         -9  -  6

Slope = m = -----------  =  ------------------ =  15

                      -x2 - x1        -9  -  (-8)

so the equation of the line using point (-8,6) and slope 15 is y - 6 = 15( x + 8)

y - 6 = 15x + 120

using the form equation Ax + By = C,  15x - y = -120-6

therefore... 15x - y = - 126       is the answer

How far from the base of the house do you need to place a 13-foot ladder so that it exactly reaches the top of a 10-feet wall?

Answers

Answer:

√69 or 8.3 feets

Step-by-step explanation:

Hypotenuse=13

Therefore

13²=x²+10²

x²=169-100

x²=69

x=√69 feets

The distance from the base of the house is  8.3 feet.

What is the pythagoras theorem?

The pythagoras theorem is used to obtain the sides of a right angled triangle.

Given that;

The hypotenues of the triangle is 13-foot

The length of the opposite side is 10 feet

Thus;

13^2 = 10^2 + a^2

a^2 = 13^2  -  10^2

a = √13^2  -  10^2

a = 8.3 feet

Learn more about pythagoras theorem:https://brainly.com/question/343682

#SPJ1

Multiply: (x−5)(x−7) A x2−12x+35 B x2+2x+35 C x2+35 D x2+35x−12

Answers

Answer:

x^2 -12x+35

Step-by-step explanation:

(x−5)(x−7)

FOIL

first  x*x = x^2

outer -7x

inner -5x

last -7*-5 = 35

Add them together

x^2 -7x-5x +35

x^2 -12x+35

Answer:

Step-by-step explanation:

x*x=2x

x*-7=-7x

-5*x=-5x

-5*-7=+35

2x-12x+35

A

Find xAssume that segments that appear tangent are tangent

Answers

Step-by-step explanation:

I assume the length that got cut off is 18.

Use Pythagorean theorem:

x² + 36² = (x + 18)²

x² + 1296 = x² + 36x + 324

972 = 36x

x = 27

HELP ASAP ROCKY!!! will get branliest.​

Answers

Answer:

work pictured and shown

Answer:

Last one

Step-by-step explanation:

● [ ( 3^2 × 5^0) / 4 ]^2

5^0 is 1 since any number that has a null power is equal to 1.

●[ (3^2 ×1 ) / 4 ]^2

● (9/4)^2

● 81 / 16

The function g is defined as follows for the domain given.
g(x) = 2x+1,
domain = (-5, -1, 2, 3)
Write the range of g using set notation. Then graph g​

Answers

Answer:

g(x): 2(-5)+1= -10+1=-9

2(-1)+1= -2+1=-1

2(2)+1= 4+1=5

2(3)+1=6+1= 7

Hence, the range of [tex]g[/tex] using the set notation is [tex](-9,-1,5,7)[/tex].

What is the function?

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given that,

The function g is defined as follows for the domain given.

[tex]g(x) = 2x+1,[/tex]  and domain [tex]= (-5, -1, 2, 3)[/tex]

So,

[tex]x=-5\\2(-5)+1\\= -10+1\\=-9\\\\x=-1\\2(-1)+1\\= -2+1\\=-1\\\\x=2\\2(2)+1\\= 4+1\\=5\\\\x=3\\2(3)+1\\=6+1\\= 7[/tex]

Hence, the range of [tex]g[/tex] using the set notation is [tex](-9,-1,5,7)[/tex].

To know more about the function

https://brainly.com/question/10500042

#SPJ2

omplete the following multiplication problems.
a. 0.34 × 6
b. 0.11 × 4
c. 17 × 0.07
d. 28 × 0.003
e. 3.8 × 5
f. 5.931 × 7
g. 14.07 × 13
h. 3.005 × 32
i. 0.8 × 0.3
j. 0.45 × 0.05
k. 0.09 × 0.02
l. 0.074 × 0.08
m. 2.3 × 0.9
n. 7.25 × 0.3
o. 4.53 × .003
p. 53.67 × 0.056
q. 1.1 × 3.7
r. 3.76 × 18.9
s. 4.57 × 6.1
t. 24.13 × 1.48

Answers

G to ducts y do. Ur ur day yea go ig

What is the solution set for StartAbsoluteValue z + 4 EndAbsoluteValue greater-than 15? 11 less-than z less-than 19 Negative 19 less than z less-than 11 z less-than negative 19 or z greater-than 11 z less-than 19 or z greater-than 11

Answers

Answer:

z less-than negative 19 or z greater-than 11

Step-by-step explanation:

Given the inequality [tex]|z+4|>15[/tex], we are to find the solution set of the inequality. Since the the function is an absolute value, this means that the function will be positive and negative.

For the positive value of the function;

[tex]z+4>15\\\\subtract\ 4\ from \ both \ sides\\z+4-4 > 15 -4\\\\z>11[/tex]

For the negative value of the function we have;

[tex]-(z+4) > 15\\\\-z-4> 15\\add\ 4 \ to\ both \ sides\\\\-z-4+4> 15+4\\\\-z> 19\\\\[/tex]

Multiplying both sides of the inequality by -1 will change the sense of the inequality sign;'

[tex]-(-z)< -19\\\\z<-19[/tex]

Hence the solution sets are [tex]z> 11 \ and \ z< -19 \\[/tex] OR z less-than negative 19 or z greater-than 11

Answer:

z less-than negative 19 or z greater-than 11

Step-by-step explanation:

Will give brainliest. A farmer is painting a new barn. He will need to calculate the surface area of the barn to purchase the correct amount of paint. In which of the following units can the farmer expect to calculate the surface area? yd2 yd m3 m

Answers

Answer:

yd^2

Step-by-step explanation:

I took the test :)

The farmer calculate surface area in unit of [tex]yd^{2}[/tex]

Surface area :

The surface area of any given object is the area or region occupied by the surface of the object.

Volume is the amount of space available in an object.  Each shape has its surface area as well as volume.Surface area is the total area of the faces of a three-dimensional shape. Surface area is measured in square units.

Thus , The farmer calculate surface area in unit of [tex]yd^{2}[/tex]

Learn more about the surface area here:

https://brainly.com/question/16519513

Can someone explain and tell me how to go about solving this? Will mark brainliest

Answers

Answer:

58 cm

Step-by-step explanation:

Assuming that the squares’s sides are whole numbers, we can find the size of the squares by looking at numbers squared.  We find three that equal 153.

10²=10x10=100

7²=7x7=49

2²=2x2=4

100+49+4=153

Now we look at how they are put together to find the perimeter.

The 2x2 has 3 exposed sides totaling 6.

The 7x7 has a top and bottom of 7, and part of a third side of 7-2=5. 7+7+5=19

The 10x10 has 3 exposed sides of 10, and part of a third side of 10-7=3. 10+10+10+3=33

TOTAL Perimeter = 6+19+33=58 cm

If h(x)=-2x-10 ,find h(-4)

Answers

Answer:

h(-4) = -2

Step-by-step explanation:

h(x)=-2x-10

Let x = -4

h(-4)=-2*-4-10

       =8-10

       = -2

Answer:

[tex]\huge \boxed{{-2}}[/tex]

Step-by-step explanation:

[tex]\sf The \ function \ is \ given:[/tex]

[tex]h(x)=-2x-10[/tex]

[tex]\sf To \ find \ h(-4), \ put \ x=-4.[/tex]

[tex]h(-4)=-2(-4)-10[/tex]

[tex]h(-4)=8-10[/tex]

[tex]h(-4)=-2[/tex]

radical 16 * redical 12

Answers

[tex]\sqrt{16}\times\sqrt{12}[/tex]

$=\sqrt{4^2}\times\sqrt{2^2\cdot3}$

$=4\times2\sqrt3=8\sqrt3$

URGENT, PLEASE HELP ! (2/5) - 50 POINTS - ! please no wrong answers for points. ! Which scatter plot represents the data?

Answers

Answer:

A  has the points plotted correctly

Step-by-step explanation:

We need to plot the data

A  has the points plotted correctly

B  has the point ( 10,5) plotted on (9,5)

C is missing (-6,-5)

D is missing (-6,-5) and has (-2,1) instead of (-2,-1)

Answer:

A.

Step-by-step explanation:

It would be very helpful to write the points individually from the data. Take the x value and place it with its corresponding y value:

(1,4) ; (2,2) ; (-2,-1) ; (-2,-6) ; (5,-4) ; (-6,-5) ; (10,5)

Now find the graph that has each of these points. You can write these down and cross them out if you find them on the graph, and once you find the graph where all of these points are crossed out, that's the correct graph.

The correct graph is A.

:Done

1 A. All master photographers are artists.
2. Ansel Adams is a master photographer.

Therefore, Ansel Adams is an artist.

B. 1. All master photographers are artists.
2. Ansel Adams is an artist.

Therefore, Ansel Adams is a master photographer.​

Answers

Answer:

A is the appropriate option.

Step-by-step explanation:

The question given is a conditional statement.

With the condition that all master photographers are artist. This implies that any person who is a master photographer is automatically an artist.

A. Comparing the statement here, since Ansel Adam's is a master photographer, he is an artist.

B. Ansel Adams is an artist, but it is possible that not all artists are master photographer.

A is the correct option.

1. All master photographers are artists.

2. Ansel Adams is a master photographer.

Therefore, Ansel Adams is an artist.

Answer:

The correct answer is A.

Step-by-step explanation:

Kent Co. manufactures a product that sells for $60.00. Fixed costs are $285,000 and variable costs are $35.00 per unit. Kent can buy a new production machine that will increase fixed costs by $15,900 per year, but will decrease variable costs by $4.50 per unit. What effect would the purchase of the new machine have on Kent's break-even point in units?

Answers

0riginal break even point:

285000/ 60/35 = $166,250

New break even point = new fixed costs / ( selling price - variable cost/ selling price)

New break even point = 285,000 + 15,900. / ( 60-( 35-4.50)/60

300,900 / 60-30.50/60 = $612,000

The new break even point increases.

The algebraic expression for the product of five and the cube of a number decreased by 40

Answers

Answer:

5a³ - 40

Step-by-step:

The algebraic expression is:

5a³ - 40

The algebraic expression for the product of five and the cube of a number decreased by 40 -

5 * x^3 - 40
* is multiplication sign.

In the graph above, which of the following would most likely cause the line to shift from D1 to D2?

A - An increase in consumer expectations

B - An increase in price

C - A decrease in consumer expectations

D - A decrease in price

Answers

Answer:

A - An increase in consumer expectations

Step-by-step explanation:

Both the quantity and price increased, so the store most likely stocked more items and began charging more as a result of high demand.

Answer: A

Step-by-step explanation: i took the test

Please help. I’ll mark you as brainliest if correct!

Answers

Answer:

9  3  -7  -13

4  -4  11  8

0  9  2  -4

Step-by-step explanation:

9  3  -7  -13

4  -4  11  8

0  9  2  -4

Answer: 9  3  -7  -13

4  -4  11  8

0  9  2  -4

Step-by-step explanation:

The graph below represents the function f.
f(x)

if g is a quadratic function with a positive leading coefficient and a vertex at (0,3), which statement is true?

А.
The function fintersects the x-axis at two points, and the function g never intersects the x-axis.

B
The function fintersects the x-axis at two points, and the function g intersects the x-axis at only one point.

c.
Both of the functions fand g intersect the x-axis at only one point.

D
Both of the functions fand g intersect the x-axis at exactly two points.

Answers

Answer: А.

The function f intersects the x-axis at two points, and the function g never intersects the x-axis.

Step-by-step explanation:

In the graph we can see f(x), first let's do some analysis of the graph.

First, f(x) is a quadratic equation: f(x) = a*x^2 + b*x + c.

The arms of the graph go up, so the leading coefficient of f(x) is positive.

The vertex of f(x) is near (-0.5, -2)

The roots are at x = -2 and x = 1. (intersects the x-axis at two points)

Now, we know that:

g(x) has a positive leading coefficient, and a vertex at (0, 3)

As the leading coefficient is positive, the arms go up, and the minimum value will be the value at the vertex, so the minimum value of g(x) is 3, when x = 0.

As the minimum value of y is 3, we can see that the graph never goes to the negative y-axis, so it never intersects the x-axis.

so:

f(x) intersects the x-axis at two points

g(x) does not intersect the x-axis.

The correct option is A.

Answer:

The answer is A.) The function f  intersects the x-axis at two points, and the function g never intersects the x-axis.

Step-by-step explanation:

I took the test and got it right.

Yiadom is y
years now.
What would be
his age in the next ten
years.

Answers

Answer:

(y+10 ) years

Step-by-step explanation:

If Yiadom is y  years now.

Then after 10 years, his anew age will be = (y+10) yrs


for the first one the answer are
add 5 to both sides
subtract 5 from both sides
add 1/2x to both sides
subtract 1/2 from both sides

the second one is
multiply both sides by 1/5
dived both sides by 1/5
multiply both sides by 6/7
dived both sides by 6/7

Answers

Answer:

1. add 1/2x to both sides

a. you want to combine the like terms. in this case, it is the x variable.

you are left with 7/6x = 5

2. multiply by 6/7

a. the reciprocal of 7/6 will cancel out the values

Consider the polynomial 2x5 + 4x3 - 3x8


Part A The polynomial in standard form is:



Part B: The degree of the polynomial is:



Part C: The number of terms in the polynomial is:



Part D: The leading term of the polynomials:



Part E: The leading coefficient of the polynomial is:

Answers

Answer:

Step-by-step explanation:

Considering the polynomial 2x⁵ + 4x³ - 3x⁸. The polynomial is not yet in standard form. For a polynomial to be in standard form, the power of the variables must decrease as we progress to the right of the expression.

A) The polynomial in standard form is therefore   - 3x⁸ + 2x⁵ + 4x³. We can see that the power are reducing as we move through each terms i.e from 8 to 5 then to 3.

B) The degree of a polynomial is the maximum degree among all the terms of the polynomial. The term that has the maximum degree is -3x⁸. Hence, the degree of the polynomial is 8

C) There are only 3 terms in the polynomial given. The terms are separated by mathematical signs. The terms if the polynomial are 2x⁵,  4x³ and - 3x⁸.

D) The leading term of the polynomial is the term that comes first after rewriting the polynomial in standard format. Given the standard from of the polynomial given as  -3x⁸ + 2x⁵ + 4x³, the leading term will be  - 3x⁸

E) Given the leading term to be  - 3x⁸, the leading coefficient of the polynomial will be the coefficient of the leading term. The coefficient of -3x⁸ is -3

Other Questions
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 9090 kilograms and gained weight at a constant rate. After 8 88 months, he weighed 138 138138 kilograms. Help Please In 1887 a strange nerve disease attacked the people in the Dutch East Indies. The disease was beriberi. Symptoms of the disease included weakness and loss of appetite, victims often died of heart failure. Scientists thought the disease might be caused by bacteria. They injected chickens with bacteria from the blood of a group of chickens that were not injected with bacteria. One of the scientists, Dr. Eijkman, designed a new experiment based on his own observations. Before the experiment, all the chickens had eaten wholegrain rice, but during the experiment, the chickens were fed polished rice. Dr. Eijkman researched this interesting case and found that polished rice lacked thiamine, a vitamin necessary for good health. 1. State the question or problem that Dr. Eijkman investigated. 2. What was the original hypothesis? 3. What was the manipulated (independent) variable and the responding (dependent) variable? 4. Write a statement that summarizes the results of the experiment. 5. How would Dr. Eijkman test his new hypothesis? Kickstarter is known as a(n) ___ website because it allows the general public to provide financial support to organizations and individuals that are working on a new product. _________ is (are) the product of Transcription, and the starting material of Translation. A. tRNA B. Amino Acids C. mRNA D. Ribosomes A parallel-plate capacitor consists of two square plates, size LL, separated by distance d. The plates are given charge Q . What is the ratio Ef/Ei of the final electric field strength Ef to the initial electric field strength Ei if: a. Q is doubled? b. L is doubled? c. d is doubled? Solve the equation. 0.15 = y-0.45 The parentheses are around 270-54, the value is _______. When the parentheses are around 549, the value is _______.What is the answer? I'm having trouble with GoMath! I can't seem to figure it out. You watch a scientist dissolve some sugar in a liter of water and then place some of this solution into a dialysis bag, tying both ends shut. The she places the bag into a beaker of distilled water. What word best describes the solution outside of the bag? Please answer this question now Abby's therapist and Abby have developed a hierarchy of social situations that range from not very threatening to very threatening. The therapist's strategy is to start with the least threatening and work up to assist Abby in not being so sensitive to rejection, to improve Abby's sense of unworthiness, and to assist her in having more relationships with others. This is a description of using _____ _____ to treat Abby's diagnosis of avoidant personality disorder. 21. Translate the following sentence into Spanish. When I was young, I used to visit my grandparents frequently and I used to play with my friends during the summer. _______________________________________________________ 22. Use the prompt in parentheses to answer the following question. Your answer should be a complete sentence that uses reflexive verbs in the preterite tense. What are three things that you did this morning before going to school? (get up early, dress well, and wash your face) _______________________________________________________________ 23. Use the prompt in parentheses to answer the following question. Your answer should be a complete sentence in the preterite tense. What are two things that you brought to school with you today? (a book, a pencil) _________________________________________________________________ 24. Use the prompt in parentheses to answer the following question. Your answer should be a complete sentence in the preterite tense. What did you do yesterday? (go to school, have an exam in Spanish class) __________________________________________________________________ which expression is equivalent to(xy)? Fine the surface area One to two paragraphs describing the water cycle Which statement best describes a compound formed by an ionic bond?A) negatively chargedB) neutralC) contains multiple chargesD) positively charged What Thomas Hobbes would they have given the king of France as people were beginning to rebel? help plz! Jaylen is reading an essay comparing two poems, and she has come across a missing word.A Postmodernist poem about art may not rhyme, and it may employ unconventional grammar and spelling. A ______ poem about art, however, will likely follow an established format and be modeled after ancient Greek and Roman poetry.Choose the term that best completes the sentence.ModernistClassicistRomanticistRealist Lopez Company uses both standards and budgets. For the year, estimated production of Product X is 500,000 units. Total estimated cost for materials and labor are $1,400,000 and $1,700,000. Compute the estimates for (a) a standard cost and (b) a budgeted cost. (Round standard costs to 2 decimal places, e.g. 1.25.) What is the determinant of k= 6 8 0 3 You purchased shares of stock one year ago at a price of $62.37 per share. During the year, you received dividend payments of $1.77 and sold the stock for $69.49 per share. If the inflation rate during the year was 2.07 percent, what was your real return?