Write an exponential function in the form y=ab^x that goes through the points (0,14) and (6,869)

Answer:

1/2^2

Step-by-step explanation:

There can't be a negative exponent

Answer:

2^6 would be index form

Step-by-step explanation:

The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.

Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\)  2. 2\(x^{0}\)\(y^{-2}\)

Expression for x =2 and y=5

-4x-2 + 3y0

= -4(2)-2 + 3(5)0

= 16+3

=19

Now

2x0y-2

= 2(2)0x(5)-2

= 2 x (1/25)

= 2 x 0.04

= 0.08

Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

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Answer:6/5 or 1.2

Step-by-step explanation:

4/5 divided by 2/3

=4/5 *3/2

=12/10

=6/5

=1.2

Answer:

3x+9 < - 42

Step-by-step explanation:

Answer:

The answer is c. 0.027.

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.18*0.15=0.027  choice C

Answer:

6x^2+40x

Step-by-step explanation:

2x(3x+20)

6x^2 +40x

That's your answer. you won't be able to find x

If m = -5 or m = 3, the system of linear equations has no solution.

To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:

| 3 m |

| m+2 5 |

The determinant is

=  (3 x 5) - (m x (m+2))

= 15 - m^2 - 2m

= -(m^2 + 2m - 15)

= -(m+5)(m-3)

So, for the system to have no solution, the determinant must be zero, so we have:

-(m+5)(m-3) = 0

This gives us two values of m: m = -5 and m = 3.

Thus, if m = -5 or m = 3, the system of linear equations has no solution.

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Answer:

WHAT?!

Step-by-step explanation:

Answer:

x= 32°

Step-by-step explanation:

2(2x-20) + 2(4x+8)= 360

4x+8x-40+16=360

12x=384

x=32°

Answer:

x = 32°

Step-by-step explanation:

given two pairs of angles similar.

a trapezoid has total 360° interior angle.

thus solve:

Answer:

Step-by-step explanation:

Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and  

            6,which is 12.

            3*3/4*3=9/12

             5*2/6*2=10/12

Step 2:Subtract 9/12 from 10/12,which is 1/12.

Answer:

34.50$

Step-by-step explanation:

30 * 0.15 = 4.50Then we add this surcharge (4.50$) to the base price of the ticket (30$) to get the total value of (34.50$).

Answer:

$34.50

Step-by-step explanation:

Handling surcharge = 15% of  30

                                  \(=\dfrac{15}{100}*30\)

                                  = $ 4.50

Total price  = base price + handling surcharge

                  = 30 + 4.50

                    = $ 34.50

Answer: rectangle

Step-by-step explanation: Because I saw another Brainly answer saying it was rectangle

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

sin x + 1 = 0​

Step 02:

0 ≤ x< 2π

sin (x) = - 1

x = arc sin (-1)

x = - π / 2

The answer is:

x = - π / 2 = - 90 degrees

Answer:

Z = 22.5, Y = 81, X = 26.7

Step-by-step explanation:

Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.

\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)

Answer:

RATIONAL

Step-by-step explanation:

The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

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The solution of the logarithm equation are as follows:

a. l = 100000

b. l = 1000000

Any equation in the variable x that contains a logarithm is called a logarithmic equation.

Let's solve the logarithm equation as follows:

a.

50  = 10 log₁₀ l

Using logarithm law,

50  = 10 log₁₀ l

50  = log₁₀ l¹⁰

10⁵⁰ = l¹⁰

multiply both sides of the exponents by 1 / 10

Hence,

l = 10⁵

Hence, the value of  l = 100000

b.

60 = 10 log₁₀ I

Using logarithm rule,

60 = 10 log₁₀ I

60 = log₁₀ l¹⁰

10⁶⁰ = l¹⁰

multiply both sides of the exponents by 1 / 10

l = 10⁶

Hence, the value of  l = 1000000

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Answer:

5/9

Step-by-step explanation:

y2-y1/x2-x1 = 5/9

Answer:

A. 0.0746

Step-by-step explanation:

Because it is in the thousandths place

Answer:

to find the answer you have to put it into y=mx+b format.

This means that it will be 5y=-30x+15

So it will simplify to y=-6x+3

This means that:

If y=2

You substitute then…

2=-6x+3

So x would equal 1/6.

Step-by-step explanation:

The rate of change is -1/6.

Rate of change (ROC) refers to how quickly something changes over time. It is thus the acceleration or deceleration of changes (i.e., the rate) and not the magnitude of individual changes themselves. In finance, rate of change is used to understand price returns and identify momentum in trends.

The units on a rate of change are “output units per input units.” The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

Given:

30x + 5y = 15

We know that the equation of line y= mx + b

Now, using 30x + 5y = 15

5y=-30x+15

Dividing both side by 5.

y = -30x/5 + 15/5

y = -6x + 3

let us take y= 4

4 = -6x + 3

1 = -6x

x= -1/6

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The answer choice which is true about the function f as described in the task content is; Choice D; f has a local maximum at x=0 and at x=6.949.

Since the equation which represents the second derivative of the function f is given; we have that;

By evaluating f'' (x) at each of the given values of x; we have that;

f'' (0) = sin ( 0² / 8 ) - 2 cos (0) = 0 - 2 (1) = -2

f'' (6.949) = sin ( 6.949² / 8 ) - 2 cos (6.949)

f'' (6.949) = -1.880.

On this note; since -1.880 < 0 and also, -2 < 0; it follows that the function f has a local maximum at x = 0 and x = 6.949.

Complete question includes answer choices;

a) f has a local minimum at x=0 and at x=6.949.

b) f has a local minimum at x=0 and a local maximum at x=6.949.

c) f has a local maximum at x=0 and a local minimum at x=6.949.

d) f has a local maximum at x=0 and at x=6.949.

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Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

Step-by-step explanation:

Let's solve all of them,

A. getting paid $35 for walking dogs, then spending $10 on games

=$35-$10

=$25

B. getting paid $25 for walking dogs, then spending $25 on games

=$25-$25

=$0

C. getting paid $20 for walking dogs, then spending $5 on games

=$20-$5

=$15

D. getting paid $15 for walking dogs, then spending $10 on games

=$15-$10

=$5

Here,

Option B. matches with the above situation.

So,

Option B. is the correct answer.

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

It is given that $6400 was invested for 14 years at a simple interest rate.

It is required to find the interest rate needed for the investment to double in 14 years.

The amount for simple interest is given by the formula:

Where A is the final amount after the period of investment.

P is the amount invested.

r is the interest rate.

t is the number of years.

Since the investment needs to be doubled, it follows that:

Substitute A=2P into the simple interest formula:

Substitute t=14 into the equation and solve for r:

Convert the rate to a percentage by multiplying by 100%:

The experimental probability of rolling a number less than or equal to 4 is 0.7.

The likelihood that an event (A) will occur given the occurrence of another event (B) is known as conditional probability. P(A|B), which stands for "the probability of A given B," is used to express it. You must first determine P(A and B) by multiplying the odds of A and B happening together. Next, you may compute P(A|B). The conditional probability of A given B is then obtained by dividing the result by P(B).

Several situations in everyday life, including medical diagnosis, industrial quality control, and risk assessment in insurance, call for the usage of conditional probability.

Given that, the trial was run 10 times.

Thus,

P(B) = (number of times B occurred) / (total number of trials)

= 7 / 10

= 0.7

Therefore, the experimental probability of rolling a number less than or equal to 4 is 0.7.

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Answer:

$27.2

Step-by-step explanation:

680x0.04=. 27.2

She made $27.2 last week

Answer:

\(Pr = 0.833\)

Step-by-step explanation:

Given

A roll of a pair of dice

Required

The probability of getting different numbers

First, list out the sample space;

We have:

\(S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6),\)

\((3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)\)

 \((5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}\)

The total is:

\(Total = 36\)

The outcomes of the different numbers are:

\(Different = \{(1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 3) (2, 4) (2, 5) (2, 6),\)

\((3, 1) (3, 2)(3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 5) (4, 6)\)

\((5, 1) (5, 2) (5, 3) (5, 4) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) \}\)

The total is:

\(Different = 30\)

So, the probability of having a different outcome is:

\(Pr = \frac{Different}{Total}\)

\(Pr = \frac{30}{36}\)

\(Pr = 0.833\)

Answer:

Twelve tickets cost $30 --> True

Thirty tickets cost $12 --> False

Each additional costs $2.50 --> True

The table is a partial rep --> True

ordered pairs --> False

Step-by-step explanation:

Twelve tickets cost $30 --> True, you can literally see that in the table

Thirty tickets cost $12 --> False, 30 is not in the table so you don't have that information. Besides, $12 is an unlikely low value for so many tickets.

Each additional costs $2.50 --> True, you can see the difference in the TotalCost column to be consistently 2.50.

The table is a partial rep --> True, values below 11 are not shown for example.

ordered pairs --> False --> Then the x value should be first, e.g., (11, 27.50), since the cost y is a function of the number x.