How do I solve -0.4r=16?

Answer:

K =24

Step-by-step explanation:

\(x = 1 \div 4 \\ y = 6 \\ therefore \: since \: y = kx \\ 6 = k1 \div 4 \\ divide \: both \: sides \: by \: 1 \div 4 = 6 \div 1 \div 4 = 6 \times 4 \div 1 = 24\)

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Answer:

12:5

Step-by-step explanation:

Answers:

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

Explanation:

For now, focus on the triangle with angles 'a', 71 and 40 degrees.

Recall that for any triangle, the inside angles always add to 180

a+71+40 = 180

a+111 = 180

a = 180-111

a = 69

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

Notice how angles b and 133 are adjacent and form a straight angle. This makes them supplementary. Meaning they add to 180

b+133 = 180

b = 180-133

b = 47

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

Let angle f be adjacent to angle c, and part of the triangle with angles 'a' and b.

Use the rule mentioned in the first section

a+b+f = 180

69+47+f = 180

116+f = 180

f = 180-116

f = 64

Now we can find angle c, because angles f and c are supplementary

c+f = 180

c+64 = 180

c = 180-64

c = 116

We could also use the remote interior angle theorem to say that a+b = c, so c = a+b = 69+47 = 116

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

Next, focus your attention on the 140 degree angle. The missing adjacent angle to this is 180-140 = 40 degrees

Now focus on the triangle that has angles d, 40, and 47. The "40" being what we just calculated in the previous paragraph.

We'll do the same thing as before

d+40+47 = 180

d+87 = 180

d = 180-87

d = 93

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

The angle just above angle d is also the same (vertical angles). This upper triangle has angles 40, d and g, where g is unknown. Let's find it.

40+d+g = 180

40+93+g = 180

133+g = 180

g = 180-133

g = 47

The vertical angle across from this is also 47 degrees.

Similarly, we can move that angle b over to its vertical pairing counterpart.

The smallest triangle at the very top has angles e, b, and g

e+b+g = 180

e+47+47 = 180

e+94 = 180

e = 180-94

e = 86

Answer:

85 more candies

Step-by-step explanation:

15/5=3 (3 candies for each friend)

20-3=17 more candies for each friend

17 x 5 = 85 more candies Mark needs to buy in order to give each of his 5 friends 20 pieces of candy.

The linear function that models the situation is given as follows:

d = 0.85t.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The constant ratio for this problem is given as follows:

k = 0.83, as each division of d by t has a result of 0.83.

Hence the equation is given as follows:

d = 0.83t.

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Answer:

  application of L'Hopital's rule to the presumed indeterminate form yields this conclusion

Step-by-step explanation:

This is a reverse application of L'Hopital's rule for determining the limits involving indeterminate forms.

When the expression evaluated at the limit is 0/0, then L'Hopital's rule tells you the limit can be found from n'/d', where n and d are the numerator and denominator of the original expression, respectively.

We can see that x-π = 0 at x=π, so we assume that f(π) = 0 as well, and the expression n/d = f(x)/(x-π) evaluates to the indeterminate form 0/0.

The derivatives are ...

  n' = f'(x)

  d' = 1

Then we have the limit as ...

  lim{x→π) = n'/d' = f'(π)/1 = 3   ⇒   f'(π) = 3

The conclusion f(π)=0 and f'(π)=3 follows from L'Hopital's Rule.

Answer:

C none of the answer is correct 24m³–cm³ is 2400cm³

Answer:

y= 52,000+.6x

Step-by-step explanation:

The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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Answer:

Amadi: 20 years old

Chima : 4 years old

The quantity of each colour beads that are in the necklace include the following:

Purple beads = 56

Purple beads = 56silver beads = 24

A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.

The number of purple beads = 14

The number of silver beads ,= 6

The total quantity of beads = 80

Therefore the total combination = 14+6 = 20

For purple beads = 14/20 × 80/1

= 1120/20 = 56

For silver beads = 6/20×80/1

= 480/20= 24

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The missing value for the quadratic function is given as follows:

y = -3.

As a function of it's roots x* and x**, the quadratic function is defined as follows:

y = a(x - x*)(x - x**)

In which a is the leading coefficient.

The roots of the function are the values of x when y = 0, hence:

x* = -4, x** = -2.

Thus:

y = a(x + 4)(x + 2)

y = a(x² + 6x + 8).

When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:

8a = -8

a = -1.

Hence:

y = -x² - 6x - 8;

The missing value is the value of y when x = -1, hence:

y = -(-1)² - 6(-1) - 8

y = -3.

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Answer:

a = 36

Step-by-step explanation:

For the system to have no solution, the two lines must have the same slope and different y -intercept, that is, be parallel lines.

The slope of the first line is "-1/2" (negative one half) when we solve for y:

\(y = -\frac{1}{2} x+\frac{11}{6}\)

so we want the slope of the second line to be the same, and the y-intercept to be different:

\(y=-\frac{a}{72} x+\frac{61}{36}\)

We see that the y-intercepts are different, so all is needed now is to find the appropriate a that gives a slope = -1/2, and that a value is 36.

Answer:

x = 0 , x = 2

Step-by-step explanation:

3x² = 6x ( subtract 6x from both sides )

3x² - 6x = 0 ← factor out 3x from each term

3x(x - 2) = 0

equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 2 = 0 ( add 2 to both sides )

x = 2

solutions are x = 0 , x = 2

The bottom row and right column are representing totals of previous cells and the grand total is 82 as indicated in the question.

Find the missing numbers in the following order:

Answer:

i need these points sorry

Step-by-step explanation:

The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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Answer:

13/24

can't be simplified

Step-by-step explanation:

you can make them have the same denominator by multiplying.

denominator of 24 is 8*3

and 3*8

then multiply their numerators by the same values

7/8 times 3= 21/24

1/3 times 8= 8/24

subtract

21-8= 13

so 13/24

The volume of hemisphere is equal to the volume of the cylinder and the volume is equal to the 9/4× π×x³.

From the given, the volume of the sphere with radius r,

Volume of sphere = (4/3)πr³

The volume of the cylinder with radius x and height h,

Volume of cylinder = π×r²×h

                                = π×x²×h

The ratio of the radius and height (x:h) = (4:9)

the height of the cylinder is h= (9x/4)

Volume of the cylinder = π×x²×(9x/4)

                                      = π×x³×(9/4)

The hemisphere radius, r = (3x/2)

Volume of hemisphere = 1/2 (Volume of sphere)

                                      = 1/2 (4/3 × π×r³)

                                      = 1/2 (4/3 × π ×(3x/2)³) (where r= (3x/2))

                                     = (9/4×π×x³)

Thus, the volume of cylinder and the volume of hemisphere is same and is equal to 9/4×π×x³.

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Another point on the line is (-9, 7). Ultimately, the choice of which point to use depends on the context or specific requirements of the problem you are solving.

To determine which point to use from the equation y - 7 = 3(x + 9), we need more information.

The equation provided represents a linear equation in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Without additional context or specific instructions, we can choose any point that satisfies the equation to use as a reference.

For example, if we let x = 0, we can solve the equation for y:

y - 7 = 3(0 + 9)

y - 7 = 3(9)

y - 7 = 27

y = 27 + 7

y = 34

So, one point on the line is (0, 34).

Alternatively, if we let x = -9, we can solve the equation for y:

y - 7 = 3(-9 + 9)

y - 7 = 3(0)

y - 7 = 0

y = 7

So, another point on the line is (-9, 7).

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Answer:

16

Step-by-step explanation:

3^x +1 = f(X)

2x-4 = g(x)

find f(2)-g(-1)

we substitute in function f(X) by value (2), and in function g(X) by value (-1)

1. 3^x +1 becomes 3^2+1 =9+1=10

2. 2(-1)-4= -2-4=-6

then f(2)-g(-1)

= 10-(-6) =10+6=16

Answer:

Hello' I think you forgot to add a picture

Answer: 9/4

Step-by-step explanation:

Reciprocal means flip the fraction

The reciprocal of 4/9  is  9/4

Answer: the rciprocal is 9/4

Step-by-step explanation:

Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856

The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

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