John owns a lawn mowing and landscaping business. The income from the business is given by the function f(x) = 2x + 54, where f(x) is the income in dollars and x is the area in square meters of lawn mowed. If John has earned {204, 344, 450, 482} dollars in the last four months, what are the corresponding areas of lawn he mowed?

A.
{75, 145, 198, 214}
B.
{84, 123, 204, 254}
C.
{70, 135, 184, 195}
D.
{80, 110, 185, 246}
E.
{95, 148, 175, 206}

Answer:

The amplitude  of the given sinusoidal function is 3.5

Step-by-step explanation:

The given sinusoidal function is

[tex]m(x)=-3.5\cos x[/tex]

This function is of the form:

[tex]m(x)=a\cos bx[/tex]

where

a=|-3.5|=3.5 is the amplitude.

Therefore the amplitude of the given sinusoidal function is 3.5

Answer:

A) −13

Step-by-step explanation:

(x + 6)^2 = 49

Take the square root of each side

sqrt((x + 6)^2) = ±sqrt(49)

x+6 = ±7

Subtract 6 from each side

x+6-6 = -6  ±7

x =-6  ±7

Separating into 2 parts

x = -6+7          x = -6-7

x = 1               x = -13

All triangles equal 180 degrees.

The answer is 180 degrees.

T o find the median if there are two numbers in between find the mean or the average. To do that add up the 2 middle numbers then divide by 2 that's your median

Answer:

3n+21

Step-by-step explanation:

3 × n =3n

3 × (+7) = +21

Answer:

Use distributive property.

3(n+7),

3*n + 3*7=

3n + 21

Hope this helps and have a great day!

Answer:

[tex](-7x^2+3)(x-3)[/tex]

Step-by-step explanation:

We can take "common" from first 2 terms and common from next 2 terms. Shown below:

[tex]-7x^3+21x^2+3x-9\\-7x^2(x-3)+3(x-3)\\(-7x^2+3)(x-3)[/tex]

That's how we do it. We can't simplify, or factor, any further.

Answer:

36

Step-by-step explanation:

If s is the side length, then the area of the square is

A = s^ = (6)^2 = 36

This is how you were expected to answer this question.  However, the actual correct answer is 36 cm^2.

Answer:

36

Step-by-step explanation:

Answer:

$36.75

Step-by-step explanation:

Answer: the sales tax alone is $36.75

the above ground pool with the sales tax is 561.75

Step-by-step explanation:

525x.07 =36.75

525x1.07=561.75 or another way you could do it is 525+36.75=561.75

I believe I did this correctly. Comment to tell me if I didn't.

__________________________________

I got infinite solutions.

For the second problem, I subtracted 9 from both sides. Then I divided them all by -1. They are the same equations.

ANSWER

b) infinite solutions

EXPLANATION

The given system is:

x=3y+9 ...(1)

9-x=-3y...(2)

Put equation (1) into equation (2)

This implies that,

9-(3y+9)=-3y

Expand the parenthesis,

9-3y-9=-3y

-3y=-3y

1=1

This implies that, that the system has infinitely many solutions.

Its rly easy 48.58+3.60=52.18

Final answer:

John and Ramona are closing in on each other on a collision course with a combined speed of 35 mph over a distance of 24 miles. After doing the calculation, we find that it will take them approximately 41.14 minutes to meet.

Explanation:

To find out how long it will take John and Ramona to meet, we can assume they are moving towards each other on a collision course. We do this by adding their speeds together since they are moving in opposite directions. John cycles at a speed of 20 mph and Ramona cycles at 15 mph, so the combined speed at which they are closing in on each other is 20 mph + 15 mph = 35 mph.

The distance between them is 24 miles. To calculate the time it takes for them to meet, we divide the total distance by their combined speed:

Time = Distance / Speed

Time = 24 miles / 35 mph

Time = 0.6857 hours

Since time is often represented in minutes, we multiply the decimal by 60:

0.6857 hours * 60 minutes/hour = 41.14 minutes

Therefore, it would take approximately 41.14 minutes for John and Ramona to meet.

Answer:

Option B f(x) = x + 1

Step-by-step explanation:

The given points are

x        y        Relationship (x & y)

-2      -1        -2 + 1 = -1      

0        1         0 + 1 = 1    

1        2          1 + 1 = 2    

3       4          3 + 1 = 4    

5       6          5 + 1 = 6

As we can see the difference in x and y values of each ordered pairs is one

Therefore, relationship between x & y that can be represented by y = x + 1

Option B f(x) = x + 1 is the answer.

Answer:

[tex]96\ basketballs[/tex]

Step-by-step explanation:

step 1

Find the volume of the cylinder (hollow drum)

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]h=48\ in[/tex]

[tex]r=24\ in[/tex]

substitute

[tex]V=\pi (24)^{2} (48)[/tex]

[tex]V=27,648\pi\ in^{3}[/tex]

step 2

Find the volume of one basketball

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=6\ in[/tex]

substitute

[tex]V=\frac{4}{3}\pi (6)^{3}[/tex]

[tex]V=288\pi\ in^{3}[/tex]

step 3

Find the maximum number of basketballs that the cylindrical drum contains

so

Divide the volume of the cylinder by the volume of one basketball

[tex]27,648\pi/288\pi=96\ basketballs[/tex]

Answer:

So first, we can see that two out of four sides of this triangular prism is a square because they have equal side lengths.

The surface area of these two sides should be:

A = a² · 2 = 10² · 2 = 100 · 2 = 200 (ft²)

Next, we need to find the area of the two triangles:

A = bh/2 · 2 = hb = 8 · 12 = 96 (ft²)

Lastly, we have the rectangular base:

A = wl = 10 · 12 = 120 (ft²)

All we need to do now is to add up all of our results:

A = 200 + 96 + 120 = 416 (ft²)

The answer is:

The value of x is 3.9 units.

From the statement we know that the sum of the distances AB and BC is equal to 9.7 units, so, we need to write one equation to create a relation between the given distances and the total distance (AB + BC)

So, writing the equation, we have:

[tex]AB+BC=AC\\\\2x-3+(x+1)=9.7[/tex]

Now, adding like terms, we have:

[tex]2x-3+(x+1)=9.7[/tex]

[tex]2x+x-3+1=9.7[/tex]

[tex]3x-2=9.7[/tex]

[tex]3x=9.7+2[/tex]

[tex]x=\frac{9.7+2}{3}=\frac{11.7}{3}=39.9[/tex]

Hence, we have the value of x is 3.9 units.

Have a nice day!

Answer: the answer is 6.

Step-by-step explanation:

a p e x

The area of the square is 36 squared inches, because it is a square with a side of 6 inches.

The two semicircles have a radius of 3 inches. If we subtract their areas from the area of the square, we have

[tex]36-2\left(\dfrac{\pi\cdot 3^2}{2}\right) = 36-9\pi[/tex]

The shaded region is half of this area, so the answer is

[tex]\dfrac{36-9\pi}{2} \approx 7.7[/tex]

36 minus 9 multiplied by Pi . Then divide that answer by 2 to get 7.7

Where is 'the following'?

(I'll Answer in comments just give detail)

Answer:

range

Step-by-step explanation:

this is because it is asking the not central which is range.

Answer:

n = 4, m = 1

Step-by-step explanation:

Given the 2 equations

3m + n = 7 → (1)

m + 2n = 9 → (2)

Rearrange (2) expressing m in terms of n, by subtracting 2n from both sides

m = 9 - 2n → (3)

Substitute m = 9 - 2n into (1)

3(9 - 2n) + n = 7 ← distribute left side

27 - 6n + n = 7 ← simplify left side

27 - 5n = 7 ( subtract 27 from both sides )

- 5n = - 20 ( divide both sides by - 5 )

n = 4

Substitute n = 4 into (3) for corresponding value of m

m = 9 - (2 × 4) = 9 - 8 = 1

Thus m = 1 and n = 4

Answer: Alaska

Step-by-step explanation: Alaska has the Earliest United States Time Zone as from Earliest to latest Alaska is 2 PM. Pacific is 3 PM. Mountain is 4 PM. Central is 5 PM. Eastern is 6 PM. Therefore Aleutian/Hawaii is 7 PM. From West, headed East, Each time Zone bumps up 1 hour.

None.

Distribute the 3 to the (x + 4) to get 3x + 12.

Subtract 3x from both sides to get 12 = 4.

This is not true, so there are no solutions.

Answer:

the answer is 2.9 x 10^0 and 3.2 x 10^-2

Step-by-step explanation:

10^0 is equal to 1 so 2.9 x 10^0 is really 2.9 times 1 which is less than 3

if i could get brainliest answer that would be great!

10^-2 is a exponential that makes a number go down so 3.2 going down is less than 3

Answer:

C and D

Step-by-step explanation:

A.   2.9 × 10¹ = 2.9 × 10     = 29

B.  3.2 × 10³ = 3.2 × 1000 = 3000

C.  2.9 × 10⁰ = 2.9  × 1      = 2.9

D. 3.2 × 10⁻² = 3.2 × 0.01 = 0.032

Both C and D have values less than 3.

Answer:

[tex]4 \times 3^{3}\\\\4\times3 \times3\times3\\\\108[/tex]

Step-by-step explanation:

Four times three cubed

Given the statement, times means multiplication.

four times three

4        x         3

It says three cubed, where cubed means raised to 3. So that means we right an exponent, and the exponent is 3.

4 x 3³

When we have an exponent, that tells you how many times you will multiply it by itself. So since the exponent is 3, we multiply 3 by itself 3 times.

3³ = 3 x 3 x 3

So 4 x 3³ = 4 x 3 x 3 x 3

Lastly, if we get the product your result will be 108.

4 x 3 x 3 x 3

=4 x 27

= 108

The expression is 4 times 3 cubed. The value equivalent to 4 times 3 cubed is 108.

The expression is 4 times 3 cubed.

To find the value equivalent to 4 times 3 cubed, we need to calculate it.

3 cubed means 3 raised to the power of 3, which is 3 x 3 x 3 = 27.

So, the value equivalent to 4 times 3 cubed is 4 x 27 = 108.

https://brainly.com/question/34132400

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Answer:

A. 6

Step-by-step explanation:

f(x) = x² − 12x + 7

To complete the square, we first factor the leading coefficient to make it 1 (which it already is).

Then, we take half the second coefficient, square it, and then add to both sides.  So (-12/2)² = (-6)² = 36.

f(x) + 36 = x² − 12x + 36  + 7

Then we factor the perfect square:

f(x) + 36 = (x − 6)² + 7

Then solve for f(x) by subtracting and simplifying:

f(x) = (x − 6)² + 7 − 36

f(x) = (x − 6)² − 29

So the value of a is 6.

Answer: Second option.

Step-by-step explanation:

The square root of a number "x" is a number "b" that multiplied by itself is "x":

[tex]b*b=x[/tex]

We know that the square root of 16 is 4 ([tex]\sqrt{16}=4[/tex]) because:

[tex]4*4=16[/tex]

Then [tex]\sqrt{13}[/tex] should be less than 4.

We know that the square root of 9 is 3 ([tex]\sqrt{9}=3[/tex]) because:

[tex]3*3=9[/tex]

Then [tex]\sqrt{13}[/tex] should be greater than 3.

Therefore, the value of  [tex]\sqrt{13}[/tex] is between 3 and 4.

This matches with the second option.

Hello Brainly Student! Your answer is 3 and 4! Hope this helped!!

Answer:

ΔADC ≅ ΔCBA by the SSS congruence postulate

Step-by-step explanation:

This is because of the following:

AD ≅ CB

DC≅AB

lastly, AC≅AC,

however ΔADC ≅ ΔABC by the SSS congruence postulate is also true since ΔABC and ΔCBA is just the same triangle. We can name our triangle in the both the same way.

The value of the expression for 121 is 11

Answer:

[tex]r=\sqrt{\dfrac{75}{\pi}}\approx 4.89\ in[/tex]

Step-by-step explanation:

If the water in the cube rose from 6 inches to 8 inches when the cone was placed in the cube, then the difference in volumes is the volume of the submerged portion of the cone.

Initially, 10 in by 10 in by 6 in:

[tex]V_{initial}=10\cdot 10\cdot 6=600\ in^2.[/tex]

At he end, 10 in by 10 in by 8 in:

[tex]V_{final}=10\cdot 10\cdot 8=800\ in^3.[/tex]

Thus,

[tex]V_{submerged \ cone}=800-600=200\ in^3.[/tex]

Use cone's volume formula

[tex]V_{cone}=\dfrac{1}{3}\pi r^2 \cdot h,[/tex]

where r is the radius of the cone's base, h is the height of the cone.

From the diagram, h=8 in, then

[tex]200=\dfrac{1}{3}\cdot \pi\cdot r^2\cdot 8\\ \\\pi r^2=75\\ \\r^2=\dfrac{75}{\pi}\\ \\r=\sqrt{\dfrac{75}{\pi}}\approx 4.89\ in[/tex]

r1 = -12 and r2 = 12

[tex]\bf 40\pi =\cfrac{5}{18}\pi r^2\implies 40\pi =\cfrac{5\pi r^2}{18}\implies 720\pi =5\pi r^2\implies \cfrac{720\pi }{5\pi }=r^2 \\\\\\ 144=r^2\implies \sqrt{144}=r\implies 12=r[/tex]

Answer:

Step-by-step explanation:

[tex]\text{De}\text{finition of logarithm:}\\\\\log_ab=c\iff a^c=b\\\\\text{where}\ a>0\ \wedge\ a\neq1\ \wedge\ b>0\ \wedge\ c\in\mathbb{R}\\===========================\\\\\log_2n=4\iff n=2^4\\\\n=16[/tex]

Answer:

I don't know what answers you were given to your problem but I think the answer is

D) log n =4log2

Sorry if I got it wrong.

Answer:wazz up

Step-by-step explanation:

yooo what’s up dude