how do you solve this equation shown?
5x - 3(x + 9) + 10 = 4

The time necessary for p dollars to double when it is invested at interest rate r compounded annually is given by the formula:

t = (ln 2) / (r ln (1 + r))

When compounded monthly, the formula becomes:

t = (ln 2) / (12 r ln (1 + r/12))

When compounded daily, the formula becomes:

t = (ln 2) / (365 r ln (1 + r/365))

When compounded continuously, the formula becomes:

t = ln 2 / (r)

Note that ln is the natural logarithm function.

To use these formulas, you need to know the value of the interest rate r. For example, if r is 5%, then:

When compounded annually, t = (ln 2) / (0.05 ln 1.05) = 13.86 years
When compounded monthly, t = (ln 2) / (12 x 0.05 ln 1.0041) = 14.21 years
When compounded daily, t = (ln 2) / (365 x 0.05 ln 1.000137) = 14.27 years
When compounded continuously, t = ln 2 / (0.05) = 13.86 years

Therefore, the time necessary for p dollars to double depends on the interest rate and the frequency of compounding. Generally, the more frequently the interest is compounded, the shorter the time necessary for p dollars to double.

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The prοbabilities are,

a) P(X = 5)=0.204 ,  P(X ≤ 5) =0.849 and P(X ≥ 5)= 0.355

b) P(X ≥ 1) = 0.995 ,  P(X ≤ 1)=0.044

c) P(5 ≤ X ≤ 7)= 0.571

Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability, οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.

a) Prοbability οf exactly 5, P(X = 5) then

Using excel binοmial functiοn:

=> BINOM.DIST(5, 9, 0.44, 0)

=> 0.204

Prοbability οf at mοst 5, P(X ≤ 5) then

Using excel binοmial functiοn:

=> BINOM.DIST(5, 9, 0.44, 1

=> 0.849

Prοbability οf at least 5, P(X ≥ 5) = 1 - P(X ≤ 4)

Using excel binοmial functiοn:

=> 1 - BINOM.DIST(4, 9, 0.44, 1)

=> 0.355

b)Prοbability οf at least 1, P(X ≥ 1) = 1 - P(X ≤ 0)

Using excel binοmial functiοn:

=> 1 - BINOM.DIST(0, 9, 0.44, 1)

=>  0.995

Prοbability οf at mοst 1, P(X ≤ 1) =

Using excel binοmial functiοn:

=> BINOM.DIST(1, 9, 0.44, 1)

=> 0.044

c) Prοbability between 5 and 7, P(4 ≤ X ≤ 6) = P(X ≤ 7) - P(X < 5)

=>  P(X ≤ 6) - P(X ≤ 3)

=> BINOM.DIST(6, 9, 0.44, 1) - BINOM.DIST(3, 9, 0.44, 1)

=> 0.571

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Answer:

x<-72

The student divided by 6 instead of multiplying by 6

Step-by-step explanation:

Correct:

x÷6<-12

multiply each side by 6

x<-72

What the student did:

x÷6<-12

divide by 6

x÷6<-2

The student divided by 6 instead of multiplying.

Answer: No real solutions

Step-by-step explanation: to solve for x and find a solution you need to take the square root of -144

This is not possible as this a negative number . There is a solution if we use complex numbers, but this not included in the question

Answer:

x/6=13

Cross multiplying we get,

x=13*6

x=78

Answer:

1. The A-grid solar panels.

2. It would take 168 days.

Step-by-step explanation:

Let me guess. You got this from Edmentum.

It will take 15 months for the number of basic subscriptions to match the number of deluxe subscriptions.

Let's denote the number of months passed by "m".

In m months, the number of basic subscriptions will be 288 - 5m (since 5 basic subscriptions are decreasing each month), and the number of deluxe subscriptions will be 93 + 8m (since 8 deluxe subscriptions are increasing each month).

We want to find out when the number of basic subscriptions will match the number of deluxe subscriptions, so we can set the two expressions equal to each other:

288 - 5m = 93 + 8m

We can then solve for m:

288 - 93 = 8m + 5m

195 = 13m

m = 15

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The probability that the total of the number on the dice exceeds 6 is 1/12.

When the two fair dice are thrown the total possible outcome are,

= 6 x 6

= 36

So, there are a total of 36 possible outcomes.

If one of the dice shows 3, then the total favorable outcomes that the sum of the numbers on the dice exceeds 6 is,

(3+4)(3+5)(3+6)

Hence, the total possible favorable outcomes are 3.

Probability of an event = Total favorable outcomes/total possible outcomes.

Probability that the sum exceeds 6 = 3/36

Probability that the sum exceeds 6 = 1/12

So, Probability that the sum exceeds 6 is 1/12.

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Answer:  

Here we answer the question: "What two numbers multiply to -36 and add up to -16?"

The answer to your question is:

2 and -18

Step-by-step explanation:     2 x -18 = -36

2 + (-18) = -16

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x2 - 16x - 36 = 0

If so, the solution to factor the quadratic equation above is:

(X + 2 ) (X - 18)

To summarize, since 2 and -18 multiply to -36 and add up -16, you know that the following is true:

x2 - 16x - 36 = (X + 2 ) (X - 18)

The two numbers are -4 and -9.

A number is a count or measurement.

We are asked to find two numbers that multiply to 36 and add to -13,

Let the two numbers be x and y,

x+y = -13.............(i)

xy = 36

x = 36/y...............(ii)

Put eq(ii) in eq(i)

36/y + y = -13

Multiply the whole equation by y,

36 + y² = -13y

y²+13y+36 = 0

Solving for y,

y²+9y+4y+36 = 0

y(y+9)+4(y+9) = 0

(y+4)(y+9) = 0

y = -4 or y = -9

If we put y = -4 then we will get x = -9 similarly if y = -9 then x = -4

Hence the two numbers are -4 and -9.

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Answer:

This should explain it

Step-by-step explanation:

If its the graph question I think it is this is the answer screenshot.

        Hence, The Value of:  a^2   +   b^2   is  18

        b  =  1/a  =  1/ 2 + √5

        b  =  1/2 + √5  *   2 - √5/2 - √5

            =     2  - √5/1

        b  =  2  -  √5

       a^2    =  (2  +  √5)^2    =  4  +  4√5  +  5

       b^2    =  (2   -  √5)^2    =  4   -  4√5  +   5

        a^2   +  b^2   =   4  +  4√5  +  5  +  4  -  4√5  +  5

                              =   18  -  3√5

        4    +  5     +  4  +  5

        9    +   4     +   5

       13   +   5   =   18

        a^2  +  b^2       =   18                

        a^2  =  18   -  b^2

        a  =  ± √18  -  b^2

        a  =  √18     -  b^2

        a   =  -√18   -  b^2

        Hence, The Value of:  a^2   +   b^2   is  18

I hope this helps you!

Calculating both averages and comparing them is required to determine which average is higher.

The central tendency of a given set of numbers is measured by a number, which is referred to in statistics as the average.

The terms mean, median, mode, and range are just a few of the several To find which average is higher , We have to calculate both the averages and then have to compare  averages that exist.

The majority of the time, when someone says "average," they mean "mean."

The number that results from adding up all of the numbers in a set and dividing that total by the number of numbers in the set is referred to as the mean. Average is often referred to as mean.

To find which average is higher , We have to calculate both the averages and then have to compare

The given question is incomplete So, I've answered in general according to my knowledge

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The function represented by the graph has an equation of f(x) = |x - 3| + 5

From the question, we have the following graph that can be used in our computation:

The graph is an absolute value graph

As a general rule, an absolute value is expressed as

y = |x - h| + k

In this case, the vertex is

Vertex = (h, k)

As a general rule, the vertex of a function is the minimum point on the graph

On the given graph, the minimum point is (3, 5)

This means that

(h, k) = (3, 5)

Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k

So, we have the following representation

y = |x - 3| + 5

Rewrite the equation as a function

f(x) = |x - 3| + 5

Hence, the equation of the graph represented by the figure is f(x) = |x - 3| + 5

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Answer:

\(3^4\)

Step-by-step explanation:

There are four  3's

\(3\times 3\times3\times3 = 81\\\\3^4 = 81\)

Answer: 3⁴

Explanation: Exponential form contains a base and an exponent.

The base is the number that is multiplied.

So in this case, 3 is the base.

Next we write the exponent which is the

number of times that the base is multiplied.

Since 3 is multiplied four times, the exponent is 4.

So in exponential form, 3 · 3 · 3 · 3 can be written as 3⁴.

Answer:

They are parallel

Step-by-step explanation:

Same slope but different y-intercept

Answer: It is parallel.

Step-by-step explanation: Both equations have the same slope but different y-intercepts, the -3 and -6 in the picture.

The interval containing the values of k for which the curves to not cross nor touch is given as follows:

0 < k < 3.

The two functions in the context of this problem are defined as follows:

The functions will not cross neither touch if the following quadratic equation has no solutions, that is:

x² + 2x + 1 = 2kx - k.

x² + (2 - 2k)x + 1 + k = 0.

The coefficients of the quadratic equation are given as follows:

a = 1, b = 2 - 2k, c = 1 + k.

The discriminant is calculated as follows:

Δ = b² - 4ac

Δ = (2 - 2k)² - 4(1)(1 + k)

Δ = 4k² - 8k + 4 - 4 - 4k

Δ = 4k² - 12k

The roots of the discriminant are as follows:

4k² - 12k = 0

4k(k - 3) = 0

k = 0, k = 3.

The equation has no solution if the discriminant is negative. A concave up quadratic equation is negative between it's roots, hence the interval is:

0 < k < 3.

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Answer: y = -(5/3)x + 8

I assume (6,-2)(6,−2) is actually just (6,−2).

Step-by-step explanation:

A parallel line will have the same slope as the reference line.  Rewite the reference line equation into y=mx+b format:

5x+3y=6

3y = -5x+6

y = -(5/3)x + 6

The parallel line we want will have the same slope, -(5/3):

y = -(5/3)x + b

b will be different since we want this new, parallel, line to go through point (6,-2), so it must be moved to accomodate this point.  Find the value of b we need by entering the point into the new equation and solving for b.

y = -(5/3)x + b  for point (6,-2)

-2 = -(5/3)(6) + b

-2 = -10 + b

b = 8

y = -(5/3)x + 8

Answer:

 25.12 cm.

Step-by-step explanation:

you take pie times the diameter (4)cm and times them together.

Answer:

4π cm

Step-by-step explanation:

d = 4 cm

Circumference = πd

                         = π*4

                         = 4π cm

Answer:

Answer is 18 degrees.

Step-by-step explanation:

Answer:

7.a) 5

7.b) 1/2

8. 1

Step-by-step explanation:

7.

a)

Read the points on the graph (0, 0) and (1, 5).

slope = (5 - 0)/(1 - 0) = 5/1 = 5

b)

read the points on the graph (0, 0) and (4, 2).

slope = (2 - 0)/(4 - 0) = 2/4 = 1/2

8.

Points (1, 4) and (5, 8)

slope = (8 - 4)/(5 - 1) = 4/4 = 1

ANSWER

4.020

EXPLANATION

Given information

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable. If f(x)=7/3x -9 then f(-3) is -88/9.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Given function is

f(x)=7/3x -9

where x=-3.

Subtract x=-3 in the above function.

f(-3)=7/3(-3) - 9

f(-3)=7/-9 - 9

f(-3)=-7/9-9

f(-3)=(-7-81)/9

f(-3)=-88/9

Therefore f(-3) is -88/9.

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Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

The graph relationship is betsween distance travelled and price of the airfare. The rate of change gives information on how one quantity changes in relation to another. The equation is given as

y = 0.7x + 200

The price of airfare increases by $0.70 for each miles travelled.

We can see that as the distance increases the price of airfare also increases.

The values of a, h and k on the function are given as follows:

The meaning of the transformations is given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function in this problem is given as follows:

y = 1/x.

Hence the meaning of the transformations is given as follows:

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Answer:

a)

\(r= \sqrt{ \frac{a}{\pi} } \)

b)

\(r≈15.2 \: m\)

Step-by-step explanation:

a)

\(a = \pi \times {r}^{2} \)

\( {r}^{2} = \frac{a}{\pi} \)

\(r > 0\)

\(r = \sqrt{ \frac{a}{\pi} } \)

b) Given:

A = 725,83 m^2

Find: r - ?

\(r = \sqrt{ \frac{a}{\pi} } = \sqrt{ \frac{725.83}{\pi} } ≈15.2\)

Answer:

the answer to the first question is c. the second one is

2

\frac{x}{2}

2x​

x/2

Step-by-step explanation:

Answer:

20% of 2 is equal to 0.4

log 2 (x / 4) is equal to 22.