A bus driver marries a dental assistant. What is their
combined income each week?


Helppppp please

Answer:

(1,2)

Step-by-step explanation:

look at the slope

pick two points that connect like Γ

list which one connects to x and which one connects to y

Answer:

4

Step-by-step explanation:

Remember that when solving for the median, Order the numbers from least to greatest. The middle number in the set is your median:

1 , 2 , 4 , 4, 6

4 is your answer.

~

Here we are given with some numbers:

• 1, 2, 4, 6, 4

We have to find the median. For this, we have to arrange the data in ascending or descending order. So, let's arrange it in required order.

➝ 1, 2, 4, 4, 6

As the total no. of numbers is 5, the median will be the middle term that is 4. Because when the number of terms is odd, then median is n/2 and when the number of terms is even, the median is n/2 + n + 1/2 /2 th term.

Correct answer is 4.

Carry On Learning [tex]![/tex]

=====================================================

Explanation:

According to the Fundamental Theorem of Calculus, we can say

[tex]\displaystyle f(x) = \int_{0}^{x} f(t)dt\\\\\\\displaystyle f'(x) = \frac{d}{dx}\int_{0}^{x} f(t)dt\\\\\\\displaystyle f'(x) = f(x)\\\\[/tex]

Then think about a function in which its derivative is itself. The first thing that should come to mind is the exponential function [tex]f(x) = e^x[/tex]. There aren't any other functions that fit the description. The proof of this is lengthy and involves ODE (ordinary differential equations), so I'm not sure how far along in your calculus class you are.

Anyways,

[tex]f(x) = e^x\\\\\\f(\ln(5)) = e^{\ln(5)}\\\\\\f(\ln(5)) = 5\\\\\\[/tex]

The exponential base 'e' cancels out with the natural log.

We are given with a function and a condition of the respective function too, consider the given what we have ;

[tex]{:\implies \quad \displaystyle \sf f(x)=\int_{0}^{x}f(t)\: dt}[/tex]

By using the variable changing property we can change the Integrand and it will yield ;

[tex]{:\implies \quad \displaystyle \sf f(x)=\int_{0}^{x}f(x)\: dx}[/tex]

Now , let assume that

[tex]{:\implies \quad \displaystyle \sf \int f(x)dx=F(x)}[/tex]

Now, differentiating both sides wr.t.x (using Newton - Leibnitz's rule for Differentiating a function under the integral sign)

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\bigg\{F(x)\bigg|_{0}^{x}\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\{F(x)\}-\dfrac{d}{dx}\{F(0)\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\{F(x)\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=f(x)}[/tex]

So now, we have a function whose derivative is equal to the respective function, now if you differentiate both sides again you will get [tex]{\bf{f^{\prime \prime}(x)=f^{\prime}(x)}}[/tex] and similarly you can get [tex]{\bf{f^{n}(x)=f^{n-1}(x)}}[/tex] . And their is only one function which satisfies this condition for f(x) defined from [tex]{\mathbb{R}}[/tex] to [tex]{\mathbb{R}}[/tex] i.e the exponential function, you just can prove this fact easily by using the Maclaurin's series, so we now arrived on the conclusion that [tex]{\bf{f(x)=e^x}}[/tex] , so now [tex]{\bf{f\{ln(5)\}}}[/tex] will be [tex]{\bf{e^{ln(5)}}}[/tex] i.e hence on simplifying [tex]{\bf{f\{ln(5)\}=\boxed{\bf 5}}}[/tex]

This is the required answer

Note :- If you want to prove the fact that for [tex]{\bf f\: : \: \mathbb{R}\to \mathbb{R}}[/tex], such that [tex]{\bf{f^{n}(x)=f^{n-1}(x)}}[/tex] is [tex]{\bf{f(x)=e^x}}[/tex], you can prove it by using the Maclaurin's series, and if you want it's proof too, I will prefer you seeing once here ;

https://brainly.com/question/27031371

Mr. Reams has 7 cups of paint after filling 40 small plates with two ounces of liquid paint.

To calculate how many cups of paint Mr. Reams has left after filling 40 plates with two fluid ounces of paint, we must take into account the following information:

To find out how many cups are equal to 40 ounces, we must perform the following operation.

Based on the above, Mr. Reams used up 5 cups of paint, so he has 7 cups of paint left which equals 56 fluid ounces of paint.

12 - 5 = 7

Learn more about painting in: https://brainly.com/question/25795412

Answer:

I AM GROOT I AM GROOT

Step-by-step explanation:

Answer:

59.4

Step-by-step explanation:

0.08x55+55

Answer:

$58.5

Step-by-step explanation:

Answer:

Shift the graph of y = x2 left 13 units and then up 6 units.

Step-by-step explanation:

Answer:

You start with the graph y=x^2, you shift the graph right 13 units to get y=(x-13)^2, then you shift the graph up 6 units to get y=(x-13)^2+6. Hope this helps!

Answer:

Hope this helps ya! :D

Step-by-step explanation:

Answer:

We can use a table of values or a graphing calc.

Step-by-step explanation:

We can simply plug the function into a graphing calc.

To use a table of values, we simply plug in x-values to get output y-values. Those would be our coordinates to graph, such as (-6, 0) and (0, -3). We would then just draw a line between them.

Answer:

We will see that the domain of the function is:

D: {x | x ∈ R | x > -6}

How to find the domain of a function?

To find the domain of a function, we start by assuming that it is the set of all real numbers, and then we remove the problematic points.

In this case, we have a logarithm, and as you may remember, we can only evaluate the logarithm in positive values, so we need to remove all the values of x such that:

x + 6 ≤ 0

Solving for x, we get:

x ≤ -6

So the only values of x allowed are the ones that make the next inequality true:

x > -6.

Thus we can write the domain as:

D {x | x ∈ R | x > -6}

Where the second part, x ∈ R, is usually ignored, as we assume that x is a real number unless we specify that it is not, but just for completion, I wrote it.

Answer:

the surface area is 52

Step-by-step explanation:

A=2(wl+hl+hw)=2x(1x2+8x2+8x1)=52

Answer:

  y = {-x, x < 2; x-4, 2 ≤ x < 3; 3x -10, 3 ≤ x < 5; x, 5 ≤ x}

Step-by-step explanation:

The absolute value function is a piecewise linear function that changes its definition when its argument changes sign.

Here, the three different absolute value expressions will change their behavior at three different values of x. That is, this equation will be described by a piecewise linear function in four (4) pieces.

For x < 2:

  y = (3 -x) +(2 -x) -(5 -x) = -x

For 2 ≤ x < 3:

  y = (3 -x) +(x -2) -(5 -x) = x -4

For 3 ≤ x < 5:

  y = (x -3) +(x -2) -(5 -x) = 3x -10

For 5 ≤ x:

  y = (x -3) +(x -2) -(x -5) = x

In summary, the equation can be written ...

  [tex]y=\begin{cases}-x,&\text{for }x < 2\\x-4,&\text{for }2\le x < 3\\3x-10,&\text{for }3\le x < 5\\x,&\text{for }5\le x\end{cases}[/tex]

_____

Additional comment

The absolute value function itself can be described by ...

  [tex]y=|x-a|=\begin{cases}a-x,&\text{for }x < a\\x-a,&\text{for }a\le x\end{cases}[/tex]

answer:

-6 is the answer I think

Answer:

5

Step-by-step explanation:

hope this helps!

Using the formula for the area and circumference of a circle, we have the following answers:

1. radius = 2 in. (given)

Diameter = 4 in.

Circumference = 12.56 in.

Area = 12.56 in.²

2. radius = 10 in.

Diameter = 20 in. (given)

Circumference = 62.8 in.

Area = 314 in.²

3. radius = 5 in.

Diameter = 10 in. (given)

Circumference = 31.4 in.

Area = 78.5 in.²

4. radius = 20 in.

Diameter = 40 in. (given)

Circumference = 125.6 in.

Area = 1,256 in.²

5. radius = 18 in. (given)

Diameter = 36 in.

Circumference = 113.04 in.

Area = 1,017.36 in.²

6. radius = 8 in. (given)

Diameter = 16 in.

Circumference = 50.24 in.

Area = 200.96 in.²

7. radius = 12 in. (given)

Diameter = 24 in.

Circumference = 75.36 in.

Area = 452.16 in.²

8. radius = 16 in.

Diameter = 32 in. (given)

Circumference = 100.48 in.

Area = 803.84 in.²

9. radius = 15 in. (given)

Diameter = 30 in.

Circumference = 94.2 in.

Area = 706.5 in.²

1. radius = 2 in. (given)

Diameter = 2(2) = 4 in.

Circumference = πd = π(4) = 12.56 in.

Area = πr² = π(2²) = 12.56 in.²

2. radius = 1/2(20) = 10 in.

Diameter = 20 in. (given)

Circumference = πd = π(20) = 62.8 in.

Area = πr² = π(10²) = 314 in.²

3. radius = 1/2(10) = 5 in.

Diameter = 10 in. (given)

Circumference = πd = π(10) = 31.4 in.

Area = πr² = π(5²) = 78.5 in.²

4. radius = 1/2(40) = 20 in.

Diameter = 40 in. (given)

Circumference = πd = π(40) = 125.6 in.

Area = πr² = π(20²) = 1,256 in.²

5. radius = 18 in. (given)

Diameter = 2(18) = 36 in.

Circumference = πd = π(36) = 113.04 in.

Area = πr² = π(18²) = 1,017.36 in.²

6. radius = 8 in. (given)

Diameter = 2(8) = 16 in.

Circumference = πd = π(16) = 50.24 in.

Area = πr² = π(8²) = 200.96 in.²

7. radius = 12 in. (given)

Diameter = 2(12) = 24 in.

Circumference = πd = π(24) = 75.36 in.

Area = πr² = π(12²) = 452.16 in.²

8. radius = 1/2(32) = 16 in.

Diameter = 32 in. (given)

Circumference = πd = π(32) = 100.48 in.

Area = πr² = π(16²) = 803.84 in.²

9. radius = 15 in. (given)

Diameter = 2(15) = 30 in.

Circumference = πd = π(30) = 94.2 in.

Area = πr² = π(15²) = 706.5 in.²

Learn more about area and circumference of circle on:

https://brainly.com/question/402655

Answer:

No, they cannot both be right

Step-by-step explanation:

Firstly, we need to convert the ft in the real room to inches

Mathematically; 1 foot = 12 inches

So 15 ft will be 15 * 12 = 180 inches

18 ft will be 18 * 12 = 216 inches

Now let’s look at their drawings;

9 to 10.8

So 9 translated to 180 while 10.8 translated to 216

So the ratios here are;

9/180 and 10.8/216 = 1 : 20 for the ratio of the drawing to the real measure

This shows that only Ricky is right

Answer:

the answer is b

Step-by-step explanation:

hypotenuse leg theorem

Answer:

the answer is none

Step-by-step explanation:

Answer:

I think option D is the correct answer

Answer:

12.2*1=12.2

12.2*0.45=5.49

5.49+12.2=17.69

Step-by-step explanation:

Answer:

15 then 1 then yes

Step-by-step explanation:

Rounding to the nearest whole number, determine whether Brian’s product is reasonable.

Round Brian’s average speed to

✔ 15

.

Round the activity time to

✔ 1

.

Was Brian’s product reasonable?

✔ yes

Step-by-step explanation:

6y=24-3x

6y/6=24-3x/6

y= 4-1/2x

x= -2y+8

Answer:

Please see below

Step-by-step explanation:

There are two variables so you can't really solve for both of them

Here's x:

3x = 24 - 6y

x = 8 - 2y

Here's y:

6y = 24 - 3x

y = 4 - x/2

Hope this helps :)

(Please let me know if I've gotten anything wrong!)

Answer:

$17.50

Step-by-step explanation:

5/7 = 50/70

this means that 50 of the 70 lollipops were grape

0.35*50 = money earned from grape lollipops.

0.35*50 = 17.50

this means that Carmen earned $17.50 from the sale of the grape lollipops.

Hope this helps!

Answer:

The answer is x

Step-by-step explanation:
When "x" has a dot next to it, it pretty much means you have to multiply x with the value of the number after the x · . Which means x · 1 + = x.

Answer:

I don't know if this correct I got X but your equation doesn't make sense

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠A  - Angle can also be named by the vertex holding the angle.

∠TAR

∠RAT

Hey there!

First, subtract 3 from both sides:

5x+3=23

5x=20

Now, divide both sides by 5:

x=4 (Answer)

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

x=4

Step-by-step explanation:

Separate the term x from one side of the equation to solve the problem.

5x+3=23

First, subtract by 3 from both sides.

[tex]\sf{5x+3-3=23-3}[/tex]

Solve.

[tex]\sf{23-3=20}[/tex]

Write down the problem.

5x=20

Then, you divide by 5 from both sides.

[tex]\sf{\dfrac{5x}{5}=\dfrac{20}{5} }[/tex]

Solve.

Divide.

[tex]\sf{20\div5=4}[/tex]

x=4

As a result, the correct answer is x=4.

I hope this helps you! Let me know if my answer is wrong or not.

Answer: Bobby, Amy, Carlos

Step-by-step explanation:

Amy spent $6.00 for 2 gallons of gas.

The price per gallon will be:

= $6/2

= $3 per gallon

Bobby paid $15.00 for 6 gallons of gas.

The price per gallon will be:

= $15/6

= $2.5 per gallon

Carlos paid $32.00 for 8 gallons of gas.

The price per gallon will be:

= $32/8

= $4 per gallon

From the cheapest to the most expensive will be:

Bobby, Amy, Carlos

Answer:

Bobby,Amy,Carlos

Step-by-step explanation:

Answer:

The combined income each month should be $4,515.08. If it needs to be rounded, then it's just 4,515.

Step-by-step explanation:

All you needed to do was add.

Hope this helps you out

h= 28°

(Vertically opposite angles are equal)

Step-by-step explanation:

Answer:

should have multiplied both x and 2 by 3.

3x + 6