which exponential equation is equivalent to the logarithmic equation below? log478=a
A. 478^10 = a
B. a^10 = 478
C. 478^a = 10
D. 10^a = 478

Answers

Answer 1
I think the answer is D

Related Questions

help me find the answer

Answers

d because it’s right

A machine depreciate in value at the rate of 10% every year on reducing balance. if the original cost is 20000 and the scrapped value is 13122, how long has the equipment been used?

Answers

Mark Brainliest please


Answer: 10 years

Explanation:


The original cost of the machine = 20000

The scrap value of the machine = 13122

Value of the machine = ( 20000 - 13122 ) = 6878

Depreciation of the machine for the first year = ( 6878 * 10 % )
= 687.8
So, the effective life of the machine is = ( 6878 / 687.8 )
= 10 years

What is the value of n?

Answers

Answer:

A

Step-by-step explanation:

180-133= 47

180-142= 38

47+38= 85

180-85= 95

If the inside of n is 95, n has to be  85

What is the slope of the line graphed below?
(-2,2)
(3, 1)

Answers

Answer:

hey. your questions is not complete. pls add an attachment of the graph to your question

Answer:

[tex]-\frac{1}{5}[/tex]

Step-by-step explanation:

To find the slope, the formula is [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{1-2}{3-(-2)}=-\frac{1}{5}[/tex]

Hope this helps

find the product. write your answer in exponential form 9²•9-⁶​

Answers

Answer:

9^8

Step-by-step explanation:

9²•9⁶​ = 9^(2+6) = 9^8

Answer:

IF the 6 is negative : [tex]9^{2}[/tex] · [tex]9^{-6}[/tex] then the answer is 1/[tex]9^{4}[/tex]

If the 6 is positive then the answer is [tex]9^{8}[/tex]

Step-by-step explanation:

Exponents are add when their bases are similar.

Suppose X is a random variable with a mean of 10 and a variance of 100. Suppose Y is a random variable with a mean of 2 and a standard deviation of 16. Also, suppose X and Y are independent. What is the mean of 10 X + 3 Y?

Answers

Answer:

[tex]E(10x + 3y) =106[/tex]

Step-by-step explanation:

Given

[tex]E(x) =10[/tex]

[tex]Var(x) = 100[/tex]

[tex]E(y) =2[/tex]

[tex]Var(y) = 16[/tex]

Required

[tex]E(10x + 3y)[/tex]

To do this, we make use of the following equation

[tex]E(ax + by) =aE(x) + bE(y)[/tex]

So, we have:

[tex]E(10x + 3y) =10 * E(x) + 3 *E(y)[/tex]

[tex]E(10x + 3y) =10 * 10 + 3 *2[/tex]

[tex]E(10x + 3y) =100 + 6[/tex]

[tex]E(10x + 3y) =106[/tex]

write a quadratic function f whose zeros are 2 and -6

Answers

Answer:

hope this will help u

Step-by-step explanation:

⇒  Given zeros are α=2 and β=−6.

⇒  Sum of zeros =α+β=2+(−6)=−4

⇒  Product of zeros =α×β=2×(−6)=−12

⇒  Quadratic polynomial =x  

2

−(α+β)x+(α×β)

⇒  Quadratic polynomial =x  

2

−(−4)x+(−12)

∴   Quadratic polynomial =x  

2

+4x−12

The quadratic function having 2 and -6 as zeros is f(x) = x² + 4x - 12.

What is the quadratic function with roots 2 and -6?

Given the parameters:
Zeros of the function: 2 and -6.

To find the quadratic function f(x) with zeros at 2 and -6, first set up the equation:

x = 2 and x = -6

These are the real solutions to the quadratic equation:

This means that; ( x - 2 ) and ( x + 6 ) are the factors of the quadratic equation:

Hence:

( x - 2 )( x + 6 ) = 0

Expand using distributive property:

x( x + 6 ) - 2(x + 6 )  = 0

x² + 6x - 2x - 12 = 0

Collect and add like terms:

x² + 4x - 12 = 0

Therefore, the function will be:
f(x) = x² + 4x - 12.

The quadratic function is f(x) = x² + 4x - 12.

Learn more about quadratic equations here: brainly.com/question/1863222

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Suppose the linear regression line V 4.009x - 77.531 predicts a pizza a
parlor's profits based on the number of pizzas sold. If x represents the
number of pizzas sold, and V represents the pizza parlor's profits in dollars,
about how much can the pizza parlor expect in profits if it sells 325 pizzas?

Answers

Answer:

$1225.39

Step-by-step explanation:

The difference of two numbers is 13. The sum of two numbers is 75

Answers

Answer:

The numbers are 31 and 44.

Step-by-step explanation:

Given that the difference of two numbers is 13, and the sum of two numbers is 75, to determine what these numbers are, the following calculations must be performed:

(75 - 13) / 2 = X

62/2 = X

31 = X

31 + (31 + 13) = X

31 + 44 = X

75 = X

Therefore, the numbers are 31 and 44.

which expression is equivalent to 6 + 3 * 4 - 1 / 3 ​

Answers

Answer:

12 2/3

Step-by-step explanation:

add the integers to get 6+3 + 4 = 13

Now subtract 1/3

13 = 12 + 1 - 1/3

but one is equal to 3/3

12 + 3/3 - 1/3

12 2/3

Maria is asked to write down a prime number between 10 and 20 she writes down 17 is she right explain your answer​

Answers

Answer:

YES

Step-by-step explanation:

PRIME NUMBER BETWEEN 10 & 20 ARE 11,13,17,19-four

Step-by-step explanation:

it has no factor excluding 1 and itself

basic triangle proofs

please help

Answers

BD is congruent to BD by the reflexive property
AD is congruent to DC because they are both created by the midpoint D
so with all the together you can say the triangle are similar by SSS

Answer:

Step-by-step explanation:

Hope this helps u !!!

Select all the pairs of expressions that are equivalent.
•14d + 21 and 7(2d + 3)
•9(5r - 2) and 14r - 7
•8(69 - 9) and 489 - 72
•16 + 4w and 2(2w + 8)
•32t + 16 and 16(2 – t)

Answers

Answer:

14d + 21 = 7(2d + 3)

16 + 4w = 2(2w + 8)

Step-by-step explanation:

14d + 21

7(2d + 3)

14d + 21

14d + 21 = 7(2d + 3)

9(5r - 2)

45r - 18

14r - 7

9(5r - 2) ≠ 14r - 7

8(69 - 9)

552 - 72

489 - 72

8(69 - 9) ≠ 489 - 72

16 + 4w

2(2w + 8)

4w + 16

16 + 4w = 2(2w + 8)

32t + 16

16(2 - t)

32 - 16t

32t + 16 ≠ 16(2 - t)

The pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)

How to determine the equivalent expressions?

To do this, we test each pair of expression.

This is done as follows

14d + 21 = 7(2d + 3)

Expand

14d + 21 = 14d + 21 --- this is true

9(5r - 2) = 14r - 7

Expand

45r - 18 = 14r - 7 --- this is false

8(69 - 9) = 489 - 72

Expand

552 - 72 = 489 - 72 --- this is false

16 + 4w = 2(2w + 8)

Expand

16 + 4w = 4w + 16 ---- this is true

32t + 16 = 16(2 – t)

Expand

32t + 16 = 32 - 16t --- this is false

Hence, the pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)

Read more about equivalent expressions at:

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Ariel has a plastic ice cream cone in her food playset. The ice cream cone is a half-sphere sitting on top of a cone. What is the
approximate volume of the toy ice cream cone? Use 3.14 for x.

Answers

52 Step-by-step explanation:

Which shows a graph of a linear equation in standard form Ax + By = C, where A = 0, B is positive, and C is negative? A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4). A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4). A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4). A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

Answers

Answer:

A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

Step-by-step explanation:

Ax + By = C, where A = 0, B is positive, and C is negative

By= C or y= C/B which is negative

Since A is zero and C is negative, the line is parallel to x- axis and has negative value for y, so it is a horizontal line below zero

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

A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).

no, the line is horizontal

A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).

no, the line is horizontal

A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).

no, the y-values should be negative

A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

yes, this is horizontal line below zero

Answer:

D

Step-by-step explanation:

What is the value of the expression shown below? ​

Answers

Answer:

23 1/4

Step-by-step explanation:

3/6 ^ 2 = 1/4

7 * 4 = 28

28 + 1/4 = 113/4

113/4 - 5 = 93/4

93/4 = 23 1/4

50% of a number is 32
what is the number

Answers

Answer:

64

Step-by-step explanation:

Half (50%) of 64 would be 32

Answer:

64

Step-by-step explanation:

let the number be x

according to the question ,

50 % of x = 32

50/100 * x = 32

50x = 32 *100

x = 3200/50

x = 64

therefore a number is 64

11. Choose the proportion that represents this problem:
If one meter is approximately 3.28 ft, how many meters are
in 20 ft?
a) 3.28
20
b) 3.28
20
1
1
m
O ) c) 3.28
20
1
d) 20
3.28
1
m
т

Answers

Answer:

D is the answer

Step-by-step explanation:

ratios that are equivalent to 7/6

Answers

Answer:

14 : 12 , 21 : 18 and 28 : 24 .

Step-by-step explanation:

Answer:

14 : 12 , 21 : 18 and 28 : 24 .

Step-by-step explanation:

Therefore, 14 : 12 , 21 : 18 and 28 : 24

In the diagram of circle O shown to the right, PA and PB are tangent to circle O at points A and B, respectively. If mACB  266, then mAPB 

Answers

Answer: 86 degrees

Step-by-step explanation:

Which statement is true about the function shown in the graph?

Answers

Answer:

A

Step-by-step explanation:

The function that is  shown in the graph is strictly decreasing

What is a function?

"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."

The given function has a value of (- 5) at a certain point.

After that the function is decreased to a value of (- 10).

Therefore, we can conclude that the function is strictly decreasing.

Learn more about a function here:

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Which of the following best shows the distributive property?
1. 2(2 - 3) = 2(-1)
2. 2(2 - 3) = 2(2) - 2(3)
3. 2 - 3 = (-3) + 2
4. 2 + (2 - 3) = (2 - 2) + 3

Answers

The answer is 2 because distributive property means that you can multiply with the numbers inside of the parentheses and still get the same answer

Answer:

number 2

Step-by-step explanation:

2x2=4

2x-3=-6

4-6=-2

2x2=4

-2x3=-6

4-6=-2

Find an expression which represents the difference when (-4x – 3y) is subtracted
from (-2x – 10y) in simplest terms.

Answers

-4x-3y+2x+10y
you can add like terms here

Answer: (-2x-10y)-(-4x-3y)

-2x-10y-(-4x-3y)

-2x-10y+4x+3y

-2x+4x-10y+3y

-2x+4x-10y+3

Answer =2x-7y

Step-by-step explanation:

Solve the system of equations.
y=8x-6
y=5x+9​

Answers

Answer:

x= 5 , y = 34

Step-by-step explanation:

8x-6=5x+9

3x-6=9

3x=15

x=5

-

8(x5) - 6 =

34

25(x5) +9 =

34

Answer:

x = 5 and y = 34

Step-by-step explanation:

I used substitution method and did this ;

8x - 6 = 5x + 9 .....put like terms together

8x - 5x = 9 + 6

3x = 15

x = 5

y = 8 (5) - 6

y = 40 - 6

y = 34

Which expression represents the length, in inches,
of the framed picture?

Answers

Answer:

No solution is posible from the information provided

Step-by-step explanation:

Answer:

1. B

2. C

3. 8, 36

How to solve and what is the answer for this question

Answers

Answer:

O DC = 65 and DE = 33.5

Step-by-step explanation:

DC is already given by AB

so DC is 65

DE would be BD split

DE is 33.5

Answer: O DC = 65 and DE = 33.5

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 29 cups of​ coffee, using 444 ounces of​ coffee, while collecting a total of ​$35.90. How many cups of each size did Kyle​ fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ ​20-oz cup(s).

Answers

Answer:

10 oz: 7

14 oz: 8

20 oz: 6

Answer:

Kyle filled  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

Step-by-step explanation:

10oz  95c = x

14oz 1.15c = y

20oz 1.50c = z

444 given divided by 29 cups

= 444/29 = 15.3103448 average cup weight so the higher size were used more.  

9 servings of 20 oz cups = 180 = cost check at 1.50 x 9 = $13.50

16 servings of 14 oz cups = 224 = cost check at 16 x 1.15 = $18.40

4 servings of 10 oz cups = 40 = cost check at 4 x 0.95 = $3.80

Where given collection total said to be $35.90 we total 13.5+18.4+3.8 = 35.7 so we are 0.20 out and can try again.

OR just submit this.  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

The pentagon shown could be reflected over which line to be carried onto itself?

Answers

Answer:

on the x axis because it is reflected there

Samuel made a list of his test scores: 88, 100, 92, 80, 85, 94, and 90. What is the lowest test score he can get on his next test to have mean score of 90?

Answers

Answer:

he needs to get a 91 to have a mean score of 90

Step-by-step explanation:

add up all the known scores to get 629

let 's' = lowest test score

(629 + s) ÷ 8 = 90   [we divide by 8 because there are 7 known and 1 unknown score)

cross-multiply to get:

629 + s = 720

s = 720-629

s = 91

Item 23
What kind of angle is angle BCA ?

acute

obtuse

right

Answers

Answer:

BCA is obtuse

Step-by-step explanation:

BCA = 98 degrees

greater than 0 to less than 90 is acute angles

90 - right angle

greater than 90 to less than 180 is obtuse

98 is obtuse

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