A sum of money is divided between A, B and C in the ratio 10:6:4. If B receives 515 more
than C , how much will A get and what is the total sum of money?

Answer:

[tex]f(x) = (0.85)^x[/tex]

Step-by-step explanation:

Exponential amount of decay:

The equation for an amount that decays exponentially has the following format:

[tex]A(x) = A(0)(1 - r)^x[/tex]

In which r is the decay rate, as a decimal.

Decrease by 15%

This means that [tex]r = 0.15[/tex]. So

[tex]f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x[/tex]

So

[tex]f(x) = (0.85)^x[/tex]

Answer:

Yes it is a function

Hope its help you ☺

Answer:

5 inches

Step-by-step explanation:

Well two bags hold 250 cubic inches, which means one bag will hold 125 cubic inches.

Then you cube route 125 because its cubic inches.

[tex]\sqrt[3]{125}[/tex] = 5

So I would think its five inches but I may be wrong <3

Triangle ABC has the three sides AB, BC, and AC.

Let's find the slope of each line. We'll use the slope formula

Let's start with the slope of line AB.

A = (-3, -4) = (x1,y1)

B = (16, -2) = (x2,y2)

m = slope

m = (y2-y1)/(x2-x1)

m = (-2-(-4))/(16-(-3))

m = (-2+4)/(16+3)

m = 2/19

The slope of line AB is 2/19. I'll keep it in fraction form.

We'll use this later, so let p = 2/19.

---------------

Repeat those steps to find the slope of BC

B = (16, -2) = (x1,y1)

C = (13, -10) = (x2,y2)

m = (y2-y1)/(x2-x1)

m = (-10-(-2))/(13-16)

m = (-10+2)/(13-16)

m = -8/(-3)

m = 8/3

The slope of line BC is 8/3.

Let q = 8/3 so we can use it later.

---------------

Now find the slope of line AC.

A = (-3, -4) = (x1,y1)

C = (13, -10) = (x2,y2)

m = (y2-y1)/(x2-x1)

m = (-10-(-4))/(13-(-3))

m = (-10+4)/(13+3)

m = -6/16

m = -3/8

The slope of line AC is -3/8

Let r = -3/8.

---------------

To recap everything so far, we have

We can see that,

Of those slope multiplications, q and r multiply to -1 is what we should focus on. If two slopes multiply to -1, then their lines are perpendicular. This applies to any perpendicular lines where neither line is vertical, and neither is horizontal.

The fractions 8/3 and -3/8 are negative reciprocals of one another. We flip the fraction and flip the sign from positive to negative, or vice versa. This is another way to see we have perpendicular slopes.

So in short, we've shown that BC and AC are perpendicular, and therefore triangle ABC is a right triangle.

----------------------------------------------------------------

To solve this problem a completely different way, we could follow this outline:

Through step 1, you should find that,

Let a = sqrt(73), b = sqrt(292), c = sqrt(365). You should find that a^2+b^2 = c^2 is a true statement based on those values, and therefore we have a right triangle. The longest side is AB = sqrt(365), making angle C to be the 90 degree angle. The diagram is shown below. I used GeoGebra to make the diagram.

Answer:

14

Step-by-step explanation:

1/7*X=2

X=2/(1/7)

X=2*7

X=14

➪ Product of two rational numbers = 2

➪ One of the number = [tex] \frac{1}{7} [/tex]

➪ The other number.

[tex]\huge{\boxed{\boxed{\tt{\purple{Solution\:⤵}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is\: 14.}[/tex] ✅

❥ Let the other number be [tex]x[/tex].

❥ As per the question, we have

[tex]product \: of \: two \: rational \: numbers \: = 2 \\ ⇢  \frac{1}{7} \times x = 2 \\ ⇢ x = 2 \times 7 \\ ⇢ x = 14[/tex]

[tex]\sf\red{Therefore,\:the\:other\: number\: is\: 14.}[/tex]

[tex] \frac{1}{7} \times 14 = 2 \\➪ \: \frac{14}{7} = 2 \\ ➪ \: 2 = 2\\ ➪ \: L. H. S. = R. H. S.[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer: 30.5

Step-by-step explanation:

Answer:

There is a vertical Asymptote at x = 5 because [tex]\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]

There is a vertical Asymptote at x = -5 because [tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]

Step-by-step explanation:

The exact question is as follows :

Given - G(x) = -7(x-5)^2(x+6)/(x-5)(x+5)

To find - Which statement make correctly uses limits determine a vertical Asymptote of G(x)

Solution -

Vertical Asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function.

Here the given function is the rational function

Denominator of G(x) = (x - 5)(x + 5)

So,

Put denominator = 0, we get

(x - 5)(x + 5) = 0

⇒x = 5, -5

∴ we get

G(x) has vertical Asymptotes at x = 5 and x = -5

Now,

At  x= 5

[tex]\lim_{x \to 5^{-} } G(x) = \infty\\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]

And

At x = -5

[tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]

∴ we get

There is a vertical Asymptote at x = 5 because [tex]\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]

There is a vertical Asymptote at x = -5 because [tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]

Answer:

Step-by-step explanation: A

Answer:

children = 67

Step-by-step explanation:

two equations can be derived from this question

x + y = 85 equation 1

3x + y = 121 equation 2

where x = number of adults

y = number of children

subtract equation 1 from 2

2x = 36

x = 18

substitute for x in equation 1

y = 85 - 18 = 67

4247.43327 Or short 4247.4!

Step-by-step explanation:

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1[tex]\sqrt{2}[/tex]=x/16

x=16/[tex]\sqrt{2}[/tex]

x=8[tex]\sqrt{2}[/tex]

Answer:

B. Multiply by 2, add 1

explanation:

23× 2 = 46 + 1 = 47

47 × 2 = 94 + 1 = 95

95 × 2 = 190 + 1 = 191

Answer:

90

Step-by-step explanation:

a right angle is always 90 degrees

Answer: 2/3

Step-by-step explanation:

there are 24 pets total (count all of the dots on the plot)

16 students have 2 or more pets (count the dots from point 2 until 6)

your fraction is 16/24

16/24 is 2/3 simplified

hope this helps

Answer:

The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Step-by-step explanation:

Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:

Given = 6 sides = 2/6

Coin = 2 sides = 1/2

2/6 x 1/2 = X

0.333 x 0.5 = X

0.1666 = X

0.1666 x 100 = 16.66

Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Answer:

Graph.

y>−4x+5 and y>2x−7

Step-by-step explanation:

Answer:

STATEMENT NO. 4 IS CORRECT.

Step-by-step explanation:

Because every rectangle has two pair of parallel lines so it can be called a parallelogram.

Answer:

77 ft.

Step-by-step explanation:

7*8+7*3=77

Answer:

c, a, b

Step-by-step explanation:

Given

See attachment for matrices

(a)

[tex]D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)[/tex]

[tex]|D | = \cos^2\theta + \sin^2\theta[/tex]

Using trigonometry ratio, we have:

[tex]|D | = 1[/tex]

(b)

[tex]\left[\begin{array}{ccc}2&0\\0&2\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D| = 2 * 2 - 0 * 0[/tex]

[tex]|D| = 4 - 0[/tex]

[tex]|D| = 4[/tex]

(c)

[tex]\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D| = 0 * 0 -(-i * i)[/tex]

[tex]|D| = 0 +i^2[/tex]

[tex]|D| = i^2[/tex]

In complex numbers

[tex]i^2 = -1[/tex]

So:

[tex]|D| = -1[/tex]

So, the order of the determinants is: c, a, b

Answer:

x≥26667

Step-by-step explanation:

let x= her sales

so the money she gets from her sales is .03x

if we wants at least 2900 we can write

2100+.03x≥2900

Solve for x

.03x≥800

x≥26666.6667

round up (because you can make a fraction of a sale) to get

x≥26667

Answer:

This is all the above

Step-by-step explanation:

all answers are true to this graph

Answer:

[tex]hypotenuse = \sqrt{ {height}^{2} + {adjacent}^{2} } \\ = \sqrt{ {11}^{2} + {60}^{2} } \\ = \sqrt{3721} \\ = 61 \: inches[/tex]

hypotenuse=

height

2

+adjacent

2

=

11

2

+60

2

=

3721

=61inches

Given :

If, A = { x : x is a letter in the word 'MATHEMATICS' } .

To Find :

The members of A and find  n (A).

Solution :

We have given a set, A = { x : x is a letter in the word 'MATHEMATICS' } .

Now, we know in set theory recurring element is written once only i.e all unique elements should be there in the set.

So,

A = { M, A, T, H, E, I, C, S }

Now, number of element in set A is 8.

Therefore, n(A) = 8 .

Answer:

Essential Elegance Candle

Step-by-step explanation:

Ratios are Lavender:Vanilla

For the Essential elegance candle the ratio is 3:6 which can be simplified to 1:2 whereas the Glory Candle is 4:10 which can be simplified to 2:5 on either one the vanilla is the bigger number but in terms of ratio it would be the essential elegance since 1/2>2/5

Answer:

9. 5 Hours

Step-by-step explanation:

8:30 AM to 12:00 PM = 3.5 hours

12:00 PM to 6:00 PM = 6 hours

Total = 6 + 3.5 = 9.5 hours  

Hope this answer helps you :)

Have a great day

Mark Brainliest

Answer:

79

Step-by-step explanation:

79, 85, 89, 68 have a mean of 80.25 according to calculator.net. the number itself Is close to the number you want, in this case 80, i input 80, but it gave me a score of 80.2, so i tried again with 81, it gave me a score of 80.4, so the third attempt was successful with 79 being the input and 80 the output

calculator.net is approved on my school computer so there is a chance it is on yours as well.

Answer:

(5, -7).

Step-by-step explanation:

Solution is the point of intersection.

(5, -7).

Answer:

20%

Step-by-step explanation:

$187.50 - 20% = $150.00

Answers:

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

Explanation:

The scale factor is k = 7. This tells us to multiply each coordinate, of each point, by the scale factor to get the dilated points.

For example, point A is at (-3, 2) and moves to A ' (-21, 14) after multiplying the x,y coordinates by 7. The same applies for points B and C as well.

The dilation rule can be written as [tex](x,y) \to (7x, 7y)[/tex]

As a result of the dilation, triangle A'B'C' has sides that are 7 times longer compared to the corresponding sides of triangle ABC.

Example: side AB = 7 units, side A'B' = 49 units

Answer:

3/4

Step-by-step explanation:

Maria practiced for her piano recital each day for three days. the first day she practiced for 3/4 hour, the second day she practiced for 1 1/2 hours, and the third day she practiced for 2 1/4 hours. by how much did she increase the time she practiced each day?

the increase in hours practiced can be determined by calculating the difference between the hours practiced on the second and first day

[tex]1\frac{1}{2} - \frac{3}{4}[/tex]

[tex]1\frac{2 - 3}{4}[/tex]         the lowest common multiple that can divide 2 and 4 is 4.

[tex]\frac{6-3}{4}[/tex]          if 2 is subtracted from 3, the answer  would be negative. So,                                              borrow 1 from the whole number. the value of this borrowed one would be equal to 4 which is the LCM. Add 4 to 2. this gives 6

[tex]\frac{3}{4}[/tex]

Answer:

C: 18 4/15

Step-by-step explanation:

7 2/3 + 10 3/5

Convert fractions so that they share a common denoninator:

7 10/15 + 10 9/15

17 19/15

18 4/15