9. There are a total of 400 balls in a box. Sixteen percent (16%) of these are red, 21% are
blue, 8% are yellow and the rest are white. How many white balls are there in the box?
a. 45
b. 55
C. 140
d. 220​

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

if you roll a five the probability is 1/6 (16.667%) and 1 is also

1/6 (16.667%)

Answer:

2q + 8

Step-by-step explanation:

twice q is 2q + 8

a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

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\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer:

(y/x)⁴

Step-by-step explanation:

14x^4y^6/7x^8y^2

= 2x^(-4)/2y^(-4)

= (y/x)⁴

Answer:

2y^4/x^2

Step-by-step explanation:

4x^4y^6 ÷ 7x^8y^2

you will find the GCF of the equation which is: 7x^4y^2 . Then, you will divide both of the equation by the GCF and it will become

14x^4y^6 ÷ 7x^4y^2 = 2y^4

7x^8y^2 ÷ 7x^4y^2 = x^2

then you'll get the answer 2y^4/x^2

Answer:

you will need a map scale

Answer:

\({ \boxed{ \bf{formular : } \: \tt{perimeter = 2(length + width)}}} \\ perimeter = 2((4x + 14) + (2x - 9)) \\ perimeter = 2(6x + 5) \\ perimeter = 12x + 10 \\ \\ { \tt{expression : 12x + 10}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}\)

Answer:

1 hour and 40 minutes

Step-by-Step

4:10 to 5:10 is 1 hour. 5:10 to 5:50 is 40 minutes. Put it together and its 1 hour and 40 minutes.

The solution for this system of equation is x = 3 and y = 2.

By Substitution Method:

When using the Elimination method,

The equations are :

3x - y = 7

2x + y = 8

here in both equations y has the same cofficient with different sign so, we can simply use Elimination methord by adding both equation .

We get ,

3x + 2x = 7+8

⇒ 5x = 15

⇒ x = 3

Now,

3x -y  = 7

⇒ 3*3 - y = 7

⇒y = 2

The solution for this system of equation is x = 3 and y = 2.

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The solution for this system of equation is x = 3 and y = 2.

What is Substitution and Elimination methord of Solving Equation ?
Resolve ONE of the x or y equations. If one of the equations has previously been solved for x or y, this step can be avoided.

Substitute the outcome for that variable in the other equation.

Either all x terms or all y terms will now make up the new equation. Fix the variable's place in the equation.

To obtain the alternative answer, plug the solution back into the beginning equation (the one you used to solve for x or y).

When using the Elimination method,

Start by aligning the x- and y-coordinates on the same side of the equation.

Whichever you decide to remove, find a common multiple for the Xs OR the Ys.

To enable the addition of the equations, make one of those multiples negative.

One of the variables will be removed when the equations are combined. Give the variable that is still present its final solution.

To determine the other number, enter your response from step four into either of the equations.

The equations are :
3x - y = 7
2x + y = 8
here in both equations y has the same cofficient with different sign so, we can simply use Elimination methord by adding both equation .
We get ,
3x + 2x = 7+8
⇒ 5x = 15
⇒ x = 3
Now,
3x -y  = 7
⇒ 3*3 - y = 7
⇒y = 2

The solution for this system of equation is x = 3 and y = 2.

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Answer:

The arrow is at a height of 500 feet at time t = 2.35 seconds.

Step-by-step explanation:

It is given that,

An arrow is shot vertically upward at a rate of 250 ft/s, v₀ = 250 ft/s

The projectile formula is given by :

We need to find the time(s), in seconds, the arrow is at a height of 500 ft.

So,

On solving the above quadratic equation, we get the value of t as, t = 2.35 seconds

So, the arrow is at a height of 500 feet at time t = 2.35 seconds. Hence, this is the required solution.

Answer:

The arrow is at a height of 500 feet at time t = 2.35 seconds.

Step-by-step explanation:

ur welcome and i should get brainliest

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

A: y = 9.5x + 22.5

Step-by-step explanation:

After 35 years, Anthony's account is going to be worth $34193.12

The formula for the compound interest is given as

\(A = P(1 + r)^t\)

Where we have the principal = 3000

the rate of interest = 7.2%

The period of time = 35 years

We have to input these values in the formula above so that we would have

A = 3000 ( 1 + 0.072)³⁵

A = 3000 x 11.398

= $34193.12

Hence we would have that after the period of 35 years, the account would be worth $34193.12

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Answer:

Step-by-step explanation:

Tak

Answer:

85+75+160=v

Step-by-step explanation:

correct answer

Answer:

x = 25

Step-by-step explanation:

The interior angle adjacent to the 123° angle is supplementary to it.

Its measure is 180° - 123° = 57°

The sum of the measures of the interior angles of a polygon is

(n - 2)180° = (4 - 2)180° = 2(180°) = 360°

3x + 7 + 96 + 5x + 57 = 360

8x + 160 = 360

8x = 200

x = 25

Answer:

x+4y=7

Step-by-step explanation:

Two events, A and B, are independent if:

Let's define:

A: the baby has brown eyes

B: the baby has a fast heart rate

number of babies with brown eyes: 2 + 15 = 17

number of babies with fast heart rate: 15 + 24 + 22 + 14 = 75

number of babies with brown eyes and a fast heart rate: 15

total number of babies: 2 + 1 + 2 + 5 + 75 = 85

Then:

In conclusion, the events are independent

With regard to promoting standards of excellence, Lafasto and Larson (2001) identified three Rs that help improve performance:

The LaFasto and Larson Model investigated team effectiveness. It is founded on the premise that, while individuals might be highly competent and talented, teams solve the most challenging issues.

It doesn't matter how skilled an individual is if they can't operate as part of a team.

They studied the traits of 75 highly successful teams. They discovered that high standards of excellence were a critical component in team performance.

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Answer:

50.5 the median

Step-by-step explanation:

Answer:

Step-by-step explanation:

uhh

1

Step-by-step explanation:

cos 2x + 2 sin²x

= (1 - 2 sin²x) + 2 sin²x

= 1 - 2 sin²x + 2 sin²x

= 1

Answer:

Step-by-step explanation:

If the question is - 7 - 131 = - 138

Answer:

If the base and the negative exponent is in the denominator already

Step-by-step explanation:

Normally, a base with a negative exponent moves to the denominator.

Example: (2^-3 = 1 / (2)^3 = 1/8)

However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.

Example:  2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54

Sorry if I didn't understand the question right-

Answer:

\(\frac{49}{6}\)

Step-by-step explanation:

The inverse of \(\frac{3}{7}\) is \(\frac{7}{3}\).

The inverse of \(\frac{2}{7}\) is \(\frac{7}{2}\).

Now we multiply:

\(\frac{7}{3}\) × \(\frac{7}{2}\) = \(\frac{49}{6}\)

Hope this helped :)

A 3rd degree polynomial function with real coefficients satisfying the given condition. 2 and -3 +3i are zeros; leading coefficients is 1, is:

f(x) = x³ + 4x² + 6x - 36

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

A polynomial function is one that uses only non-negative integer powers or positive number coefficients of such a variables in such an expression like the quadratic function, cubic equation, and so on.

we have to find third degree polynomial, so, n = 3

Since 2 is its zero ,so, x - 2 is its factor

As complex zeros occur in conjugate pairs .

So,other factors are (x + (3 + 3i)) and (x + (3 - 3i)) ,

Firstly, we find the product of these two factors:

= x² + 6x + 9 - 9i²

= x² +6x +9 - 9(-1)

= (x² +6x + 18)

Now multiply (x² +6x + 18) with (x - 2) we get f(x):

= (x² +6x + 18) (x - 2)

= x³ - 2x² + 6x² - 12x + 18x - 36

= x³ + 4x² + 6x - 36

Correct option: b

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Answer:

\(1\frac{1}{2}\) miles per hour

Step-by-step explanation:

To solve, multiply both sides by 4;

\(\frac{1}{4} *4=4\\\\\\\)

\(\frac{3}8} *4= \frac{12}{8}\) or \(1\frac{1}{2}\)

Hope this helps! :)

Answer: 0.500001

Step-by-step explanation: Hope that helps!