You drop a ball from a height of 98 feet. At the same time, your friend throws a ball upward. The polynomials represent the heights (in feet) of the balls after t seconds. At what time do the balls reach the same height?

Answer:

diameter = 28 cm

Step-by-step explanation:

circumference = 2πr

88 cm = 2 * 3.14.*r. ( π = 3.14 )

r = ( 88)/(3.14*2)

r = 14 cm

diameter = 2 * radius

diameter = 2 * 14 cm

diameter = 28 cm

Answer:

Step-by-step explanation:

Circumference formula:

Substitute values of circumference and the π to find the diameter:

Answer:

A notebook at the dollar store costs between 1-2 dollars

Answer: a) 0.0125  b) 0.1454 c) Mean = 5.7, standard deviation = 1.73

Step-by-step explanation:

Let x = Number of children say that chocolate chip cookie is their favorite kind of cookie.

x follows binomial distribution.

Binomila distribution formula:

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where p = probability in each trial, n = sample size, x= number of successes

Sample size : n= 12, p=0.475

a)

[tex]P(x\geg10)= P(x=10)+P(x=11)+P(x=12)\\\\=\ ^{12}C_{10}(0.475)^{10}(1-0.475)^{2}+^{12}C_{11}(0.475)^{11}(1-0.475)^{1}+^{12}C_{12}(0.475)^{12}(1-0.475)^{0}\\\\=\dfrac{12!}{2!10!}(0.475)^{10}(0.525)^{2}+(12)(0.475)^{11}(0.525)^{1}+(1)(0.475)^{12}\\\\\approx0.0125[/tex]

b)

[tex]P(x=4)= ^{12}C_{4}(0.475)^4(0.525)^{8}\\\\=\dfrac{12!}{4!8!}(0.000293798)\\\\=0.1454[/tex]

c) Mean = np

= (12)(0.475) =5.7

Standard deviation = [tex]\sqrt{np(1-p)}[/tex]

[tex]=\sqrt{12\times0.475\times0.525}\\\\=\sqrt{2.9925}\approx1.73[/tex]

Answer:83.0°  

Step-by-step explanation:

Given ∆XYZ, with 3 known sides, to find angle X, apply the Law of Cosines, c² = a² + b² - 2ab*cos(C).

For convenience sake, this formula can be rewritten to make the angle we are looking for the subject of the formula.

Thus, we would have this following:

Where,

C = X = ?

a = 8 ft

b = 16 ft

c = 17 ft

Step-by-step explanation:

1) k(x)= -3x²-3

k (-2)= -3×(-2)²-3

= -12-3

= -15

3)k(a)=a+4

k(0)= 0+4=4

hope it helps.

Answer:

The simplest rationalising factor of 2sqrt(5)-sqrt(3) is 2sqrt.

Step-by-step explanation:

√3+√5 rationalising factor=√3+√5×√3-√5=√3^2=3-5= -2.

I hope it is helpful. Please mark it as Brainliest Answer.

Answer:

35

Step-by-step explanation:

Given

n (A) = 15

n (B) = 20

Students who do not like any subject = 5

Hence, number of students who would like either both or either of the two subjects = 60-5 = 55

n (A or B) = n (A) + n (B) - n (A and B)

Number of students linking both the subjects

55 - 15-20

= 55-35 = 20

Number of students linking only one subject = 60-20-5 = 35

Answer:

Step-by-step explanation:

Here you go mate

Step 1

11x-4x+26  Equation/Question

Step 2

11x-4x+26  Simplify

11x-4x+26

Step 3

11x-4x+26  Combine like terms

(11x+-4x)+(26)

Step 4

(11x+-4x)+(26)  Add them together

answer

7x+26

Hope this helps

Answer:

4

Step-by-step explanation:

6*(8*2)^2/(6*8^2)=2^2=4

Answer:

I have

Step-by-step explanation:

No idea sorry

Answer:

#1: -6

#2:5

#3: -1

#4: 8

#5: -5

Step-by-step explanation:

I found what could go into each for example 2(-6) +10= -2.

2 x -6 is -12 and then you add to ten to that and get -2.

Answer: Answer:

1. -6

2. 5

3. -5

4. 8

5. 5

Hope this helps!

Answer:

I won't answer but I'll give a hint

Step-by-step explanation:

1. Markup = markup percent x cost/store price

2. Selling price = markup price + cost/store price

3. Discount amount = discount percent x cost/store price

4. Selling price = cost/store price – discount amount

Answer:

F(x) = 16

Step-by-step explanation:

F = 2. We find the value of -5x by inputting the value of the function into the x value.

F(x) = -5(2) + 6

F(x) = 10 + 6

F(x) = 16

Answer:

A

Step-by-step explanation:

We assume the opposite and then get to a point where we get a false statement. That proves that the the opposite of the opposite (What we originally wanted to prove) is true.

Answer:

5(1+x)

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

4x=180-20

4x=160

X=40

Answer:

200

Step-by-step explanation:

The time spent repairing the car is five hours while the total cost is about 200 bucks

Answer:

x= 10

Step-by-step explanation:

27÷6= 4.5

27×4.5= 6

so,

45÷4.5=10

Answer:

x-28

y46

z65

Step-by-step explanation:

Given the table of values that represents a linear function, the value of y when x = 4 is: 5.

Recall:

Find the slope of the linear function, using two pairs of values, (-4, 3) and (0, 4):

Slope (m) = (4 - 3)/(0 - (-4)) = 1/4

y-intercept (b) = 4 (from the table, when x = 0, y = 4).

Write the equation that models the function by substituting m = 1/4 and b = 4 into y = mx + b:

y = 1/4x + 4

Thus, to determine the value of y when x = 4, substitute x = 4 into y = 1/4x + 4:

y = 1/4(4) + 4

y = 1 + 4

y = 5.

Therefore, given the table of values that represents a linear function, the value of y when x = 4 is: 5.

Learn more about linear function on:

https://brainly.com/question/24502219

Answer:

6y2 - 13y - 5............

Answer:

x < 5

Step-by-step explanation:

[tex]5x - 1 < 24\\5x < 25\\x < 5[/tex]

Answer:

any number under 5

Step-by-step explanation:

5(5) -1 =24

so anything under that would equal fewer than 24

Is this what you're asking?

Answer:

2 3/5

Step-by-step explanation:

Answer:

2 3/5 (two and three fifths)

Step-by-step explanation:

m a t h

Answer:

A

Step-by-step explanation:

Since we have y = 5, the only y value on the question that equals 5 is A.

Answer:

x = 4.5

Step-by-step explanation:

You can find this ous by dividing 9 by 2, giving you 4.5! Hope this helped!