Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year.
How much money did Anthony receive for his birthday last year?

Answer:

130=monthly charge

119=one time installation fee

Step-by-step explanation:

119 is the y-intercept and in problems like these, it is always the one time fee. 130 is the monthly payment because it has an x, which could account for the number of months. For example , say six months passed, you could multiply 130 * 6 to get the monthly fee for six months. I hope that makes sense!

The area of the quarter circle with radius 3ft is [tex]7.065 ft^2[/tex]

Area of a quarter circle is given by the formula:

[tex]Area = \frac{\pi r^2}{4}[/tex]

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π  =  3.14

Substitute π = 3.14 and r = 3 into the formula [tex]Area = \frac{\pi r^2}{4}[/tex]

[tex]Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2[/tex]

The area of the quarter circle with radius 3ft is [tex]7.065 ft^2[/tex]

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Whole part = 2

Fractional part = 5/18

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

Explanation:

4/9 = 8/18 after multiplying top and bottom by 2

1/6 = 3/18 after multiplying top and bottom by 3

So the fractional parts subtract to:

4/9 - 1/6 = 8/18 - 3/18 = (8-3)/18 = 5/18

The whole parts subtract to

3-1 = 2

Overall, we end up with the mixed number of [tex]2 \frac{5}{18}[/tex]

We can write this as 2 & 5/18 or as 2 5/18

Side note: This mixed number converts to the improper fraction of 41/18.

Answer:

  1

Step-by-step explanation:

The function with the given zeros will factor as ...

  f(x) = a(x +15)(x^2 +9) . . . . with leading  coefficient 'a'

You have ...

  f(2) = 221 = a(2+15)(2^2+9) = a(17)(13) = 221a

Then a = 221/221 = 1

The leading coefficient is 1.

_____

Additional comment

As you know, a function with zero x=p has a factor of (x -p). The given zeros mean the function has factors (x -(-15)), (x -3i). and (x -(-3i)). The product of the last two factors is the difference of squares: (x^2 -(3i)^2) = (x^2 -(-9)) = (x^2 +9). This is how we arrived at the factorization shown above.

Answer:

[tex]x^2(x - 2)(x + 2)(x^2 + 4)[/tex]

Step-by-step explanation:

[tex]x^6-16x^2[/tex]

[tex]x^2\left(x^4-16\right)[/tex]

[tex]x^2\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]

[tex]\boxed{\bold{HOPE \:IT \:HELPS!\: :)}}[/tex]

The required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Given that,
To determine the equivalent expression equivalent to  x⁶ - 16x²

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= x⁶ - 16x²

= x²[x⁴- 16]      
= x²[x² + 4] [x² - 4]    [ Following the rule (a² - b²) = (a + b)(a - b)}
= x²[x² + 4](x + 2)(x - 2)

Thus, the required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

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#SPJ2

Based on the information given, it should be noted that her weekly salary will be B. $1,038.46.

It should be noted that there are 52 weeks in one year.

Based on the information given, the annual salary is given as 54000.

Therefore, the weekly salary will be:

= Annual salary / Number of weeks.

= 54000 / 52

= $1038.46

Her weekly salary is $1038.46.

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Answer: 1.50

Step-by-step explanation:

The sum of a number f and 9 is equal to 38. Write an equation to represent this situation.

Kim rented skates for h hours. The rental fee was $2 per hour. She paid a total of $8. Write an equation to represent this situation.  

The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Write an equation to represent this situation.  

John is paid $8 more than the number of bags of peanuts he sells at the baseball stadium. The table given below shows the relationship between the money John earns and the number of bags of peanuts John sells. Identify the independent and dependent variables, and write an equation to represent  this situation.

A taxi charges a flat rate of $3, plus an additional $1.50 per mile. Write an equation to represent this situation.  

Answer:

3 is the correct answer

u can find common ratio by dividing a specific term in GP by its preceding term. ...just as here

4/(4/3) = 3

also 12/4 = 3

also 36 /12 = 3

hence the common ratio for this GP is 3

hope it helped

Step-by-step explanation:

Answer:

24.35775

Step-by-step explanation:

Ty for points xd

Answer:

24.35 miles

Step-by-step explanation:

just divide 39.2 by 1.6

Answer:

x = cupcakes

y = cookies

3x + 1y ≥ 205

x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205

Step-by-step explanation:

Answer:

If her garden is 70m long, and it's a square type, wouldn't that suggest that her garden is 280m long?(70m X 4) And if this is the case, her garden would be 280 X 3=840 since there are 3 rounds?

Step-by-step explanation:

Answer: 840m

Answer:

a₆₃ = 575

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 17 and d = a₂ - a₁ = 26 - 17 = 9 , then

a₆₃ = 17 + (62 × 9) = 17 + 558 = 575

Hi,

12(3 + 5) = 12*3 + 12*5 = 36 + 60 = 96

I hope it helped.✅

Answer:

[tex]12(3 + 5) = 12 \times 3 + 12 \times 5 \\ = 36 + 60 \\ = 96[/tex]

Answer:

6.4, 7.5, 8.6adding 1.1 each time

The diameter of one circle is 28 units

Find the diagram shown below:

Considering the semi-circle at the centre.

To get the value of "x"

x + 16  = 22

x = 22 - 16

x = 6

To get the value of "x"

16 +y  = 22

y = 22 - 16

y = 6

Diameter of one of the circle = x + 16 + y

Diameter of one of the circle = 6 + 16 + 6

Diameter of one of the circle = 28

Hence the diameter of one circle is 28 units

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Using the normal distribution, it is found that the correct option is:

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{117 - 100}{17}[/tex]

[tex]Z = 1[/tex]

Hence, the option d is correct.

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Answer:

B(if the option is 10^7 instead of  107

Step-by-step explanation:

no. of people in New York=19000000

no. of people in Vermont =626,000

difference in populations = 19000000-626,000 =18374000

therefore, the difference in populations is 18374000

(which can also be written as 1.8374x10^7)

Answer: The answer is 0.

The quotient of the expression is [tex]\frac{1}{2y}[/tex]

The expression is given as:

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2}[/tex]

Divide 3y^2 by 3y

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \div \frac{6y^4}{3y^2}[/tex]

Rewrite the equation as a product

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \times \frac{3y^2}{6y^4}[/tex]

Divide 6 by 3

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \times \frac{y^2}{2y^4}[/tex]

Multiply y and y^2

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = \frac{y^3}{2y^4}[/tex]

Divide y^3 by y^4

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = \frac{1}{2y}[/tex]

Hence, the quotient of the expression is [tex]\frac{1}{2y}[/tex]

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Answer:

its B

Step-by-step explanation:

Answer: 10 points

Step-by-step explanation:

She must get 10 answers right to get into the next round, if it need to be over 34

25+10=35

Can i have brainliest

Answer:

1x + 25 > 34

Step-by-step explanation:

test says its right

Answer:

I think 5.45?  Sorry, not the best at math

Step-by-step explanation:

if you get a 55% discount off of 0.99 cents you pay 0.45 $

you're saving 0.54 $

Answer:

Step-by-step explanation:

Conclusion:

Hoped this helped.

Answer:

Step-by-step explanation:

2 1

Answer:

i think its b

Step-by-step explanation:

Answer:

4. Parallelogram

5. Parallelogram

6. Parallelogram

Step-by-step explanation:

Hoped this helped.

Answer:

See below

Step-by-step explanation:

40% of 58 = 0.40(58) = 23.2

34% of 76 = 0.34(76) = 25.84

Answer:

23.2

25.84

Step-by-step explanation:

To calculate percentage, multiply the number by the percentage's decimal.

for example, 20% of 300

20%-->20/100---->0.20

300×0.20=60

40% of 58--->

40/100--->0.40

58×0.40=23.2

34%--->34/100--->0.34

0.34×76=25.84