A number that has both a whole number and a fraction is called a(n)

O A) improper fraction
OB) mixed number
OC) whole fraction
OD) combined number​

Answer:

The maximum height of the basketball is of 24.25 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Height of the basketball:

Given by the following function:

[tex]h(t) = -4t^2 + 10t + 18[/tex]

Which is a quadratic function with [tex]a = -4, b = 10, c = 18[/tex]

What is the maximum height of the basketball?

y(in this case h) of the vertex. So

[tex]\Delta = b^2-4ac = 10^2 - 4(-4)(18) = 388[/tex]

[tex]y_{v} = -\frac{388}{4(-4)} = 24.25[/tex]

The maximum height of the basketball is of 24.25 feet.

Answer:

[tex]\sqrt{x^2 + y^2}[/tex]

Step-by-step explanation:

to find diatance between AB

A(0 , 0) = (x1 , y1)

B(x , y) = (x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(x - 0)^2 + (y - 0)^2}[/tex]

=[tex]\sqrt{x^2 + y^2}[/tex]

Answer:

C    29 square units

Step-by-step explanation:

a = bh

a = 5.8 * 5

a = 29 square units

Answer:

C 29 square units

Step-by-step explanation:

a = bh

multiply

5.8 * 5

29 square units

hope this helps :)

Answer:

Step-by-step explanation:

a)

 428721

Place of 2's 10s and 10,000s

Therefore its value is 20 and 20,000

Product of the place value = 20 x 20,000 = 4,00,000

b)

37,20,861

Place of 7 is 1,00,000

Therefore the place value is 7,00,000

c)

Greatest 7 digit number is 99,99,999

Adding 1 to it = 99,99,999 + 1 = 1,00,00,000

d)

85642 = 80000 + 5000 + 600 + 40 +2

e)

round off 85642  to nearest thousand = 86,000

Answer:

d

Step-by-step explanation:

Answer:

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

Step-by-step explanation:

Volume of a right circular cone:

The volume of a right circular cone, with radius r and height h, is given by the following formula:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

Implicit derivation:

To solve this question, we have to apply implicit derivation, derivating the variables V, r and h with regard to t. So

[tex]\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)[/tex]

Radius is 107 in. and the height is 151 in.

This means that [tex]r = 107, h = 151[/tex]

The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s.

This means that [tex]\frac{dr}{dt} = 1.1, \frac{dh}{dt} = -2.6[/tex]

At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.

This is [tex]\frac{dV}{dt}[/tex]. So

[tex]\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)[/tex]

[tex]\frac{dV}{dt} = \frac{1}{3}(2(107)(151)(1.1) + (107)^2(-2.6))[/tex]

[tex]\frac{dV}{dt} = \frac{2(107)(151)(1.1) - (107)^2(2.6)}{3}[/tex]

[tex]\frac{dV}{dt} = 1926[/tex]

Positive, so increasing.

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

Answer:

0.5940 = 59.40% probability that at least two customers are there for the next hour.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

On average, the shoppers across McMaster Univerisity have 2 customers per hour

This means that [tex]\mu = 2[/tex]

Find the probability that at least two customers are there for the next hour.

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]. So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]

[tex]P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1353 + 0.2707 = 0.4060[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.4060 = 0.5940[/tex]

0.5940 = 59.40% probability that at least two customers are there for the next hour.

Answer:

it seems like you already have this answered?

Answer:

data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.

Step-by-step explanation:

The mean absolute deviation is a  measure of spread of the data.

If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.

if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.

We are given three data set as:

set- 1             42, 48, 50, 88, 49

set- 2             63, 29, 35, 28, 30

set- 3                2, 5, 3, 8

Hence, we could observe that the data values in set 1 and set 2 are widely spread.

In set-1 the data value 88 is  much higher value as compared to other data values.

Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.

Whereas in set-3 the data values are all closely related and there is not much spread in the data.

9514 1404 393

Answer:

Step-by-step explanation:

We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...

  y -0 = -1(x -5)

Simplifying gives the slope-intercept form:

  y = -x +5 . . . . . . . use the distributive property to eliminate parentheses

Adding x to both sides gives the standard form:

  x + y = 5

__

Explanation

We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.

Answer:

Slope = 6

Step-by-step explanation:

Use the slope formula:

[tex]m=\frac{y_1-y_2}{x_1-x_2}\\m=\frac{-4-8}{3-5}\\m=\frac{-12}{-2}\\m=6[/tex]

Answer:

6

Step-by-step explanation:

(3,-4) and (5,8)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(8 - (-4)) / (5 - 3)

Simplify the parentheses.

= (8 + 4) / (5 - 3)

= (12) / (2)

Simplify the fraction.

12/2

= 6

This is your slope.

Hope this helps!

Step-by-step explanation:

Area of the squre is pi -360/2

Answer:

Z = -1.65

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

What is the critical value for the 5% significance level?

One-tailed statistic, so Z with a p-value of 0.05.

Looking at the z-table, this is Z = -1.65, so this is the critical value for the 5% significance leve.

Answer:

450

Step-by-step explanation:

639/142= 4.5 times 100

Answer:

below

Step-by-step explanation:

Clare's mistake was the writing of 4000 in standard form

he wrote 4 ×10²

instead of 4 ×10³

Answer:

Step 1

Step-by-step explanation:

I believe Claire's mistake is when she tries to simplify 4000

She says that 4000 = 4 × 10²

4000 is actually equal to 4 ×10³

Answer:

153.86 yards²

Step-by-step explanation:

A(Circle) = πr² where r = radius.

r = d/2 where r = radius and d = diameter.

r = 14/2 = 7 yards.

(3.14)(7)² = (3.14)(49) = 153.86 yards²

Answer:

108 centimeters

Step-by-step explanation:

There are 12 edges total.

9 x 12 = 108

7 min = 23 pages

To find out the amount of time the color printers to print one page we need to do 7/23 min.

Answer: 7/23

Answer:

-4170

Step-by-step explanation:

Given:

[27+3]{14-3(15-5) -53-51-19​}

30{14-3(10)-123}

30{14-30-123}

30*(-139)

-4170

Answer is -4170

Answer:

Option B. ( x=1,-5/2 Or x=-5/2,1)

Step-by-step explanation:

2x2+3x−5=0

Step 1: Factor left side of equation.

(2x+5)(x−1)=0

Step 2: Set factors equal to 0.

2x+5=0 or x−1=0

x=−5/2  or x=1  

(The Answer you can just switch it around but dont worry its still the same answer nothing change...)

Answer:

Step-by-step explanation:

An answer should never depend on a diagram. The figure has 4 equal sides  which means that it could be a square or a rhombus because both have 4 equal sides.

The question does depend on a diagram. Because the figure is leaning a little to the left, you should answer that it is likely a rhombus. You should object to the question.

Answer:

16 cm.

Step-by-step explanation:

in order to calculate the required leg of the given triangle it is possible to use the formula: leg=hypotenuse / √2.

according to the formula above the required leg is: 16 cm.

{Answer:

3893 residents.

Step-by-step explanation:

Equation for population growth:

The equation for the size of a population, considering that it doubles every n years, is given by:

[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]

In which A(0) is the initial population.

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.

This means that [tex]A(0) = 2463, n = 12[/tex]. So

[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]

[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]

Approximate the population of the town 5 years from now.

This is A(5). So

[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]

[tex]A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8[/tex]

Rounding to the nearest whole number, 3893 residents.

Answers:

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

Explanation:

Let A = 50 degrees and C = 30 degrees. The side opposite angle uppercase C is lowercase c = 8. Convention usually has uppercase letters as the angles, while the lowercase letters are side lengths. A goes opposite 'a', B goes opposite b, and C goes opposite c.

Let's use the given angles to find the missing angle B

A+B+C = 180

50+B+30 = 180

B+80 = 180

B = 180-80

B = 100

Now we can apply the law of sines to find side b

b/sin(B) = c/sin(C)

b/sin(100) = 8/sin(30)

b = sin(100)*8/sin(30)

b = 15.7569240481953

b = 15.8

Make sure your calculator is in degree mode.

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

We'll do the same thing to find side 'a'

a/sin(A) = c/sin(C)

a/sin(50) = 8/sin(30)

a = sin(50)*8/sin(30)

a = 12.2567110899037

a = 12.3

Both values for 'a' and b are approximate (even before rounding).

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

Extra info (optional)

Answer:

B=100

b=15.7

a=12.25

Step-by-step explanation:

first find the missing angle:

B=180-50-30

B=100

then use the law of sines:

[tex] \frac{a}{ \sin(a) } = \frac{b}{ \sin(b) ) } = \frac{c}{ \sin(c) } [/tex]

then

[tex] \frac{a}{ \sin(50) } = \frac{8}{ \sin(30) } \\ \\ a = 12.25[/tex]

use the same way to find the other side

[tex] \frac{b}{ \sin(100) } = \frac{8}{ \sin(30) } \\ b = 15.7[/tex]

Answer:

it might be 3 but I'm not sure

Answer:(1.06^x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1

Answer:

False

Step-by-step explanation:

A variable expression can contain numbers (that work alongside the variables) and operations (that describe how the numbers and variables interact)