If f(x) = 3^x
+ 10 x and g(x) = 5x - 3, find ( f - g )(x).

Answer:75

Step-by-step explanation:55+20=75

Answer:

30,000

Step-by-step explanation:

Answer:

The correct option is b) \(P(D|A)=P(A|D)P(D)\).

Step-by-step explanation:

The probability of selecting the different types of tires are:

P (A) = 0.40

P (B) = 0.15

P (C) = 0.45

The defective rate for the different types of tires are:

P (D|A) = 0.02

P (D|B) = 0.01

P (D|C) = 0.05

The formula to compute the probability that the tire is defective given that it is Brand A tire as follows:

\(P(D|A)=P(A|D)P(D)\)

Answer:

Step-by-step explanation:

10 & 11

Hope that helps!

Answer:

you can't simplify further

Step-by-step explanation:

Answer:

THEY DIDN'T IT WAS BECAUSE THEY MADE UP A FAKE RUMER AND HAD TO MAKE IT LOOK REAL

Step-by-step explanation:

Answer:

To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together. Bam! The GCF!

Step-by-step explanation:

20 m

thank me later

Answer:

1.8888888889 is the answer

Answer:

0 = 0 means that there are infinite solutions.

Step-by-step explanation:

Equation is -5(-4+2n)=-10(n-2)

1. Distribute the -5 and -10

20 -10n = -10n + 20

2. Subtract 20 from one side to the other to get only 1 variable on 1 side.

-10n = -10n

3. divide -10 to separate the variable from the constant.

n = n

This means there are infinite solutions.

The Confidence Interval for a Population Proportion is 0.69 ± 1.13

(-0.44 to 1.82)

Confidence Interval:

Confidence Interval means a range of values that is determined through the use of observed data, calculated at a desired confidence level that may contain the true value of the parameter being studied.

Given,

n = 130 and

p= 0.69,

construct a 99% confidence interval.

Here we need to find the confidence interval.

According to the formula, the confidence interval is,

We know that,

Sample Size: 130

Sample Mean: 0.69

Confidence Level: 99%

99% Confidence Interval: 0.69 ± 1.13

(-0.44 to 1.82)

"With 99% confidence the population mean is between -0.44 and 1.82, based on 130 samples."

Margin of Error: 1.13

(to more digits: 1.13)

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After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

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The gradient of the line joining the points (1,-1) and (4,9) is 10/3, while the gradient of the line joining (5,1) and (2,-2) is 1. The x-intercept of the equation 3y = 2x - 2 is 1, and the y-intercept is -2/3. These calculations follow the formula for gradient and the methods for finding intercepts in linear equations.

1) To find the gradient of a line joining two points, you can use the formula: gradient = (change in y)/(change in x).
Given the points (1,-1) and (4,9), the change in y is 9 - (-1) = 10 and the change in x is 4 - 1 = 3.
Therefore, the gradient of the line joining these points is 10/3.
2) Similarly, to find the gradient of a line joining two points (5,1) and (2,-2), we can use the same formula. The change in y is -2 - 1 = -3 and the change in x is 2 - 5 = -3.
Therefore, the gradient of the line joining these points is -3/-3 = 1.
3) To find the x-intercept, we set y to 0 and solve for x.
Given the equation 3y = 2x - 2, if we substitute y with 0, we have 3(0) = 2x - 2, which simplifies to 0 = 2x - 2.
To solve for x, we can add 2 to both sides: 0 + 2 = 2x - 2 + 2, which gives us 2 = 2x.
Dividing both sides by 2, we get x = 1.
Therefore, the x-intercept of the equation 3y = 2x - 2 is 1.
To find the y-intercept, we set x to 0 and solve for y.
Using the same equation, if we substitute x with 0, we have 3y = 2(0) - 2, which simplifies to 3y = -2.
To solve for y, we can divide both sides by 3: (3y)/3 = (-2)/3, which gives us y = -2/3.
Therefore, the y-intercept of the equation 3y = 2x - 2 is -2/3.
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(4x + 3) + (-2x + 4)

Eliminating the parentheses:

4x + 3 - 2x + 4

Reordering:

4x -2x + 3 + 4

2x + 7

Answer: 27ft

Step-by-step explanation:

Answer:

Graph 2 which has both solid and dashed line

Step-by-step explanation:

Given the linear inequalities :

y>2/3x+3 - - - (1)

y ≤ -1/3x+2 - - - (2)

One quick observation that can be made from the two graphs is the type of line used to plot the two linear inequalities;

Inequalities that uses either the < or > sign are plotted using a dashed line while inequalities with makes use of ≤ or ≥ are plotted using the solid line. Therefore we can conclude that the graph which uses both the solid line and the dashed line to represent the linear inequality conditions is the correct choice.

Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

The inverse operation would be to cube both sides.

The missing value is -64. The correct option is a.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given equation:

-4 = ∛?

The equation shown has a missing value.

Let x be the missing value.

To find the missing value:

-4 = ∛x

Take cube of both sides,

(-4)³ = x

x = -64.

Therefore, the missing value is -64.

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

English Plz

Step-by-step explanation:

Step-by-step explanation:

X =3 so 3+5=8

Then 2*3=6-7

(8)(6-7)

8*6-7

48-7

41

The system of equations where the combination of the candies gives you a total of 22 points are:

x + y = 9

2x + 3y = 22

To create the equations, we shall first define the variables:

x = the number of purple candies

y = the number of yellow candies

Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.

Then, we would make sure that the total number of candies selected is 9.

The first equation represents the total number of candies selected:

x + y = 9

The second equation represents the total number of points obtained:

2x + 3y = 22

Therefore, the system of equations is:

x + y = 9

2x + 3y = 22

This is a system of linear equations.

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Answer:

8, 6, 24 because 8+6+24=38

Answer:

24+12+2=38

Step-by-step explanation:

Answer:

The  variable are

A and  B

Step-by-step explanation:

Generally we can define a variable as a name of a placeholder representing a value  now considering the option to be selected from we see that

    The students' verbal SAT scores is a variable  because it is a phrase or a place holder that represent a value (in the is case a  numerical value)  which the score its self

    The second option  The students' percentage of words that were correctly recognized on the original list is also a variable because it is a placeholder of a name (in this case a phrase ) that represented the actual value itself

  The  third option The 75 students is not a variable because it is not representing any value but itself is the value

  The  third option The 750 students is not a variable because it is not representing any value but itself is the value

Answer: 144

Step-by-step explanation: it's so EZ just add all the sides.

Answer:

She ran 4 miles each day.

Step-by-step explanation:

20 miles/ 5 days= 4 miles per day.

Can you mark me Brainliest? It took a long time to figure this one out.

Answer:

4 per day

Step-by-step explanation:

if sarah ran an equal amount of miles every day then you would divide the total amount of miles (20) by the number of days (5) and 20 divided by 5 is 4.

I believe the expression you provided is:

(log(x) + 4x^3) / x

To find the discontinuities of this expression, we need to identify any values of x that would cause the expression to be undefined. These values are called the discontinuities.

There are two types of discontinuities to look for:

Removable discontinuities: These occur when a function is undefined at a certain point but can be made continuous by redefining the function at that point.

Non-removable discontinuities: These occur when a function is undefined at a certain point and cannot be made continuous by redefining the function at that point.

To find the discontinuities of the given expression, we need to look for values of x that would make the denominator equal to zero, as this would result in a non-removable discontinuity.

So we solve the equation:

x = 0

This means that x cannot be equal to zero, as it would make the denominator zero and the expression undefined.

Therefore, the only discontinuity of the expression is at x = 0.

Note that there are no removable discontinuities in this expression, as the expression is continuous everywhere except at x = 0.

7 is a prime number, it follows that either a or 2b is equal to 7. However, a cannot be 7 because m = 5a, and 7 is not a multiple of 5. we must have 2b = 7, which implies that b = 7/2 = 3.5. But b is an integer, which is a contradiction.

The greatest cοmmοn factοr, which is the prοduct οf twο οr mοre numbers, is the largest number (GCF). A natural number is created by dividing them by the biggest number (factοr). There are a few factοrs that bοth share οnce all the number's factοrs have been identified. The greatest cοmmοn factοr is the οne with the largest number amοng the cοmmοn factοrs.

Here, we have

Given: Two numbers m and n are such that m is a multiple of 5 n is an even number the highest common factor (HCF) of m and n is 7.

Let's assume that m = 5a, where a is an integer, since m is a multiple of 5.

Also, let's assume that n = 2b, where b is an integer since n is an even number.

The HCF of m and n is 7, we can write:

7 = gcd(m, n) = gcd(5a, 2b)

We simplify this expression by dividing both sides by the GCD of 5 and 2, which is 1.

7 = gcd(a, 2b)

7 is a prime number, it follows that either a or 2b is equal to 7. However, a cannot be 7 because m = 5a, and 7 is not a multiple of 5. we must have 2b = 7, which implies that b = 7/2 = 3.5. But b is an integer, which is a contradiction.

Hence, there is no solution to this problem.

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Therefore , the solution of the given problem of area comes out to be

r = 8.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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50 x 600= 30,000 which has more zeros than 50 and 600 combined