Haley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week and her brother is spending $15 each week. After how many weeks will their savings account have the same amount of money in them

An expression is defined as a set of numbers, variables, and mathematical operations. The value(s) for which the rational expression (10w−5)/(2w²+11w+5) is undefined is -1/2 and -5.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value for which the function will not be defined is the value of w which will make the denominator of the rational function zero. This values can be found by factorizing the denominator of the function. Therefore,

2w² + 11w + 5 = 0

2w² + 10w + 1w + 5 = 0

2w(w+5) + 1(w+5) = 0

(2w+1)(w+5) = 0

w = -1/2 , -5

Hence, the value(s) for which the rational expression (10w−5)/(2w²+11w+5) is undefined is -1/2 and -5.

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Answer: x-3

Step-by-step explanation:

It’s a variable

Answer:

less than

Step-by-step explanation:

At Box-r-us, they have 3*4*5=60 different boxes.

At Ship to go they have 6*2*7=84 different boxes

Therefore the number of boxes that box r us has is less than the number of boxes that Ship to go has.

Answer:

get a graphing caculator and type the numbers in the rectangle and see what you get

Step-by-step explanation:

Answer:

This is the formula you use for someone investing in money. The formula is actually supposed to be: A=P(1+).

A is the total amount, P is the principal amount (the initial; original), r is percent (%) rate in decimal form, n is frequency, and t is the amount of years.

Step-by-step explanation:

Answer:

"4 or less, let it rest. 5 or more, raise the score."

Step-by-step explanation:

1) 5.57, 5.62, 5.59

2) 2.349, 2.352, 2.346, 2.354

3)

0.7

0.3

1.5

3.4

4)

3.74

0.93

0.33

1.56

I hope this helps! Have a lovely day!! :)

(I would appreciate brainliest!!)

Answer:

x = 3 ± [tex]\frac{\sqrt{10} }{-2}[/tex]

Step-by-step explanation:

To find the roots of this equation, we can either use facotring or the quadratic formula. Because this equation isn't facotrable, we will use the quadratic formula to solve it

-2[tex]x^2[/tex] + 12x - 13 = 0

x = [tex]\frac{-12 +- \sqrt{12^2 - 4(-13)(-2)} }{-4}[/tex]

x = [tex]\frac{-12 +- \sqrt{144-104} }{-4}[/tex]

x = [tex]-\frac{-12 +- \sqrt{40} }{-4}[/tex]

x = 3 ± [tex]\frac{\sqrt{10} }{-2}[/tex]

Answer:

Step-by-step explanation:

We want to model the growth of a population of bacteria using an exponential function. We find it convenient to use an "exact" exponential function that relies directly on the numbers given in the problem statement. That function has the form ...

  p(t) = (initial population) × (growth factor)^(t/(growth period))

where the "growth factor" is the multiplying factor of the population in period "growth period."

__

Here, the "growth factor" is 4800/4000 = 1.2, and the corresponding "growth period" is 5 hours. Then the population function can be ...

  p(t) = 4000×1.2^(t/5)

__

The population after 15 hours is ...

  p(15) = 4000×1.2^(15/3) = 4000×1.728

  p(15) = 6912

__

To change this to the form ae^(kt), we find the value of k to be ...

  k = ln(1.2^(1/5)) = ln(1.2)/5 ≈ 0.036463

Then the desired form of the function for p is ...

  p(t) = 4000·e^(0.036463t)

_____

Additional comment

In the form p=ae^(kt) the value of k is often rounded to 3 or 4 decimal places. We believe that best accuracy is obtained if k has at least the number of significant digits expected in the answer. Here, the population of almost 7000 has 4 significant digits, so we choose to express k to 5 significant figures. That still gives a small error relative to the first formula that is only "corrected" by rounding the result to an integer.

Answer:

see explanation

Step-by-step explanation:

look photo

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The given pair of angles form linear pair, therefore their sum is equal to 180°

that is :

[tex]\qquad \sf  \dashrightarrow \:2(x - 26) + 3x + 2 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x - 52 + 3x + 2 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:5x - 50 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:5x = 230[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 46 \degree[/tex]

Have a great day ~

Jonathan will need a warping paper of 420.78m^2

Data;

To find the amount of warping paper used, we can use the formula of surface area of an equilateral triangle since the triangle used here is an equilateral triangle.

[tex]Surface Area = base area + \frac{1}{2}(perimeter * slant height)[/tex]

Let's calculate the base area and perimeter of the triangle.

base area of an equilateral triangle is given as

[tex]B.A = \frac{\sqrt{3} }{4} a^2[/tex]

Let's substitute the value and solve

[tex]B.A = \frac{\sqrt{3} }{4} a^2\\B.A = \frac{\sqrt{3} }{4}*10.39^2\\B.A = 46.74m^2[/tex]

The base area is 46.74m^2

Let's calculate the perimeter of the triangle

[tex]P = 3a\\[/tex]

Substitute the value into the equation and solve

[tex]P = 3a \\P = 3 * 10.39\\P = 31.17m^2[/tex]

We can proceed to substitute the values of the base area and perimeter of the triangle into the formula of the surface area of an equilateral triangle.

[tex]S.A = base area + \frac{1}{2}(perimeter * slant height)\\S.A = 46.74 + \frac{1}{2}(31.17*12)\\S.A = 46.74 + 374.04\\S.A = 420.78m^2[/tex]

The surface area of the equilateral triangle is 420.78m^2

Jonathan will need a warping paper of 420.78m^2

Learn more on surface area of an equilateral triangle here;

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Answer:c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The answer is (-3,0) which is A.

Answer:

A

Step-by-step explanation:

the lcm would be 79380

Step-by-step explanation:

5×7×7

2×2

×3×3×3×3

muliply all the 3 numbers and then you get 79380

Step-by-step explanation:

wrong question or incomplete question

Answer:

D, the last prism, with a volume of 512cm^3

Step-by-step explanation:

A: 5 x 7 x 12 = 420

B: 8.5 x 11 x 3 = 280.5

C: 3 x 13 x 11 = 429

D: 8 x 8 x 8 = 512

512 is the biggest. D.

Please let me know if I mis-read any of the numbers - it's quite hard to see.

If you need further explanation, let me know!

- profparis

The value of n is 3, value of m is 2 and the value de m + n + p is -2.

In this question we must analyze a null polynomial and determine three unknown variables. A null polynomial is those whose coefficients are equal to zero.

Therefore, we must resolve the following system of linear equations:

3 · n - 9 = 0   (1)

m - 2 = 0       (2)

p + 7 = 0       (3)

The solution of this system of linear equations is: n = 3, m = 2, p = -7. The value of n is 3, value of m is 2 and the value de m + n + p is -2. [tex]\blacksquare[/tex]

To learn further on polynomial, we kindly invite to check this verified question: https://brainly.com/question/23542646

Answer:

5 538 163

Step-by-step explanation:

convert 5547 g to mg

5547×1000=5547000mg

5547000mg-8837mg= 5 538 163mg

Answer:

5538.2

Step-by-step explanation:

convert 8837mg to g

8.8

minus that from 5538=

5538.2

Answer:

270

Step-by-step explanation:

from web

Answer:

  III

Step-by-step explanation:

The signs of both x and y are negative in the 3rd quadrant.

__

x-values are negative in the left half-plane.

y-values are negative in the bottom half-plane.

Both coordinates are negative in the lower-left quadrant, number III.

Answer:

z = 58

Step-by-step explanation:

Since SU is a midsegment of QRT, the length of SU is one-half the length of RQ.

[tex] \frac{1}{2} (z - 40) = z - 49[/tex]

[tex]z - 40 = 2z - 98[/tex]

[tex]z = 58[/tex]

Answer:

AB and GH

Step-by-step explanation:

Calculation of slope of each segment

Parallel lines have the same slope.

⇒ AB and GH are the pair of segments which are parallel

Answer:

the area for

a=16pi or 50.26548...

b=64pi or 201.061329...

c= 169pi or 530.929158...

d=100pi or 314.159265

d is 19.7392088... or 6.25pi times greater than a

Step-by-step explanation:

the decimal values are more accurate for the d is greater than circle a

so you start with a=4 in radius then b=a+4, c=b+5, d=c-3

then solve the equation a=4, b=8, c=13, d=10

then you solve for the area using the formula radius squared pi

getting the answers above

as for the second answer you would divide d to a getting the amount of times more above for circle d and circle a

Answer:

it matters how many colors are there

Answer:

a.  up 1 unit

Step-by-step explanation:

f(x) + k will translate the function up k units

f(x) - k will translate the function down k units

f(x-h) will translate the function right h units

f(x+h) will translate the function left h units

Answer:

so q1  is 686       q2 is  852         q3 is 966

Step-by-step explanation:

hope this helps

Answer:

130

Step-by-step explanation:

We need to keep adding 13 together until we have done this 10 times :)

10%: 13

20%: 26

30%: 39

40%: 52

50%: 65

60%: 78

70%: 91

80%: 104

90%: 117

100%: 130

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

base = 3

Step-by-step explanation:

The area of triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The area and height is given, to find the base we can make the following equation:

1/2*b*9 = 54

9b/2 = 54 multiply both sides by 2

9b = 27 divide both sides by 9

b = 3

Answer: The number in the tenth's place is 5

Step-by-step explanation:

There is no ones place in decimals

41.53

the tenth's place come first then the hundredth's and so on.

Answer:

5

Step-by-step explanation:

4 = tens

1 = ones

.

5 = tenths

3 = hundredths

Answer:

59.5 here 4 minute late but i hope it helps

Step-by-step explanation:

Answer: 5/2

Step-by-step explanation: