Owen paid a landscaping company $108 for an initial lawn treatment,
then $74 per month thereafter.
The function p(t) = 108 + 74t represents the total amount of money he will
have paid after t months.
Find p(12).

Answer: 4/30

Step-by-step explanation:

it does

Answer:

D. Si because the other options aren't correct.

The square root of 16 is 4 so it would be 4i but the other options aren't 4i so it would be si :D Hope this helps

Step-by-step explanation:

The three consecutive numbers that have a sum of 12 is 3, 4 and 5. The formula for calculation is x + x + 1 + x + 2 = 12.

Let the first number in three consecutive numbers be x. So, the next two numbers will be (x+1) and (x+2). Now, their sum wil be represented as mathematical equation -

x + x + 1 + x + 2 = 12

Performing addition on Left Hand Side of the equation

3x + 3 = 12

Rewriting the equation

3x = 12 - 3

Performing subtraction on Right Hand Side of the equation

3x = 9

x = 9/3

Performing division on Right Hand Side of the equation

x = 3

So, next number = x+1

Second number = 3+1

Second number = 4

Third number = x+2

Third number = 3+2

Third number = 5

Hence, the three consecutive numbers are 3, 4 and 5.

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Answer:

b=–2

Step-by-step explanation:

we've got:

(3+bx)⁵===> b⁵x⁵+15b⁴x⁴+90b³x³+720b²x²+405bx+243

and we've also got the coefficient of x³ as –720

90b³=–720===> b³=–8===> b=–2

Answer:

Where is the options

Step-by-step explanation:

Answer: sorry where's the pic?

Step-by-step

-9x + 6y - 18 (a)

6x - 4y = -12​ (b)

Solve (a) for y:

6y = -18

Answer:

Since JH is perpendicular to JE and HI is perpendicular to IE, and JH is congruent to HI, the angles formed by JH and HI are equal. This means that the corresponding angles formed by JE and IE are also equal. Since corresponding angles are equal, JE is congruent to IE.

Step-by-step explanation:

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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The domain of the function is x ≥ √25

All of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.

The domain of a graph is every value in the graph, from left to right.

checking the given equation

√(x² - 25)

the domain is all values that will not make the value in the square root negative

x² - 25 ≥ 0

x² ≥ 25

x ≥ √25

x ≥ 5

the domain is x ≥ √25

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Answer:

y=1x+(-5) or y=x-5

Step-by-step explanation:

Rise/run=slope

y=mx+b

Hope this helped :)

Answer:

y=x-5

Step-by-step explanation:

y=mx+b

first blank is slope rise over run

1/1

Second blank is the y-intercept

(0,-5)

y=(1)x+(-5)

By solving it as a sequence, it will take 9 years for the club to plant 54 flowers in the courtyard.

The number of years will it take for 54 flowers to grow in the courtyard is determined by solving the planting method as a sequence.

The nth term of the sequence Z is given by:

Z = a1 + (n-1)d

where Z = 54

a1 = 6

n = ?

d = d

Solving for n:

54 = 6 + (n - 1) * 6

48 = (n - 1) * 6

8 = n - 1

n = 8 + 1

n = 9

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Answer:

55

Step-by-step explanation:

Answer:

55 cubic units

Step-by-step explanation:

you subtract 60 and the amount of cubes there are (5)

60-5=55

Answer:

Step-by-step explanation:

let a number be x

60/100*x=36

60x=36*100

x=3600/60

x=60

50/100*60

3000/100

30  

therefore 50 percent of the same number is 30.

There is 24 hours in a day. Therefore, there are 8760 hours in a 365-day calendar year (365 x 24 = 8760).

How many years is 10000 hours?

Take the total number of hours and divide it by the number of hours in a year.

10000/8760 = 1.1415

Therefore, 10000 hours is approximately 1.14 of a year.

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

d

Step-by-step explanation:

i took the test

Step-by-step explanation:

18 = 3 + 5x

15=5x

x=15/5

x=3

\(\implies {\blue {\boxed {\boxed {\purple {\sf {C) \:x\:=\:3}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(18 = 3 + 5x\)

➺\( \: 5x = 18 - 3\)

➺\( \: 5x = 15\)

➺\( \: x = \frac{15}{5} \)

➺\( \: x = 3\)

\(\sf \bf {\boxed {\mathbb {To\:verify:}}}\)

\(18 = 3 + 5x\)

➺\( \: 18 = 3 + 5 \times 3\)

➺\( \: 18 = 3 + 15\)

➺\( \: 18 = 18\)

➺\( \: L.H.S.=R. H. S\)

Hence verified.

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

Answer:

The answer is number 2

9514 1404 393

Answer:

  N'(-3, 4), P'(-1, 4), Q'(-4, 1)

Step-by-step explanation:

The transformation is telling you to subtract 5 from each x-coordinate, and add 2 to each y-coordinate.

Answer:

442

Step-by-step explanation:

you can download g a u t h m a t h for questions like this, good luck :D

I think the answers 3048_&8_9_)_)_

that is a littel hard mabye try asking a parent

\(1/2 * 2 * 1 = 1\) square unit.

Step-by-step explanation:

To find the maximum area of the triangle, we need to locate the vertex of the parabola. This occurs when x=1. The y-coordinate at x=1 is 1. We can then use this as the height of the triangle. The base of the triangle is the distance between x=0 and x=2, which is 2. Therefore, the maximum area of the triangle is 1/2 * 2 * 1 = 1 square unit.

240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.

Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.

After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.

Since the amount of food remains the same, we can set up the following equation:

\(28,000 = (800 - x) * 50\)

Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:

\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)

By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.

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Answer:

f(x) = x³ + 19x² + x + 19

Step-by-step explanation:

Zeros: -19 , -i, complex conjugate root: +i

Function: (x+19)(x+i)(x-i) = 0

(x + 19) (x² - i²) = (x + 19) ( x² + 1) = x³ + 19x² + x + 19

check: when x = 1

f(1) = 1 + 19 + 1 +19 = 40

Answer:

On an average, the shop 1 has a lighter variety of laptops.

False

If you buy a laptop of 10 pounds, then it's more likely that you bought the laptop from shop 1.

False

Shop 2 has more laptops with a weight less than the average weight than does Shop 1.

True

Answer:

no of science teachers is 20

no of students is 600

ratio=20/600

=20:600

=1:30

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