A polyhedron (not regular) has 10 vertices and 5 faces. How many edges does it have?

Answer:

Step-by-step explanation:

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

[tex] \displaystyle h = 29.4t - 4.9 {t}^{2} [/tex]

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

[tex] \displaystyle \rm t= \frac{ - b}{ 2a} [/tex]

[tex]\displaystyle H_{\text{max}}=f(t)[/tex]

notice that, our given function is not in standard form i.e

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

let's make it so

[tex] \displaystyle h = - 4.9 {t}^{2} + 29.4t[/tex]

therefore we got

our a is -4.9 and b is 29.4

so substitute:

[tex] \displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9} [/tex]

remove parentheses and change its sign:

[tex] \displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9} [/tex]

simplify multiplication:

[tex] \displaystyle\rm t= \frac{ -29.4}{ - 9.8} [/tex]

simplify division:

[tex] \displaystyle \: t = 3[/tex]

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

[tex]\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2[/tex]

simplify square:

[tex]\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9[/tex]

simplify mutilation:

[tex]\displaystyle H_{\text{max}}=88.2-44.1[/tex]

simplify substraction:

[tex]\displaystyle H_{\text{max}}=44.1[/tex]

hence,

the maximum height of the baseball is 44.1 metres

Answer:

Solution given:

height

h=29.4t – 4.9t²

differentiating each term with respect to time (t)

[tex] \frac{d'(h)}{d(t)} [/tex]=[tex] \frac{d(29.4t – 4.9t²)}{d(t)} [/tex]

[tex] \frac{d'(h)}{d'(t)} [/tex]=29.4-9.8t

again second derivative

[tex] \frac{d''(h)}{d"(t)} [/tex]=-9.8

for maximum, minimum

first derivative =0

29.4-9.8t=0

t=[tex] \frac{29.4}{9.8} [/tex]=3

So it attains maximum height at t=3

so

maximum height=29.4×3-4.9×3² =44.1meters

So.

maximum height of the basketball is 44.1meters

Answer:

It would be A

Step-by-step explanation:

Answer:

8x-34=74

Explanation-

Answer:

the answer for 12 would be 63

Step-by-step explanation:

7 x 9 x 1

Answer:

hi!!! the answer is x = weight in pounds of bananas in the basket!

hope that helped

Step-by-step explanation:

so we have the total of the apple in the basket so we already know the apple but we need to know the bananas weight in the basket!

Answer:

D) 16

Step-by-step explanation:

it is going up by twelve each time.

so add twelve to 4 to get the answer.

Answer:

12

Step-by-step explanation:

Answer:

11 songs

Step-by-step explanation:

11 songs would leave him with $10.30 left

Answer:

i cant see the graph

Step-by-step explanation:

Answer:

2.57

The mean variation in the number of pieces of fruits eaten by the classmates is 2.57

Step-by-step explanation:

Given the data:

X = 9, 4, 6, 2, 11, 10,7

The mean absolute deviation = Σ|x - xbar| / n

Xbar = mean value = Σx / n

n = sample size

The mean, xbar = (2 + 4 + 6 + 7 + 9 + 10 + 11) / 7

Xbar = 49 / 7 = 7

Take the sum of the absolute value of the difference between the mean and x ;

Σ|x - xbar| / n =

= (5 + 3 + 1 + 0 + 2 + 3 + 4) / 7

= 2.57

Answer:

Step-by-step explanation:

The slope is given to you by the line y = 1/4 x

The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.

The second part of the question is to use the given point to find b.

x = 4

y = -1

b = ?                       substitute x and y to find b

y = 1/4 * 4 + b

- 1 = 1/4 * 4 + b

-1 = 1 + b

-2 = b

The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.

Answer:

True

For the cube root function f(x)=3√x f ( x ) = x 3 , the domain and range include all real numbers. Note that there is no problem taking a cube root, or any odd-integer root, of a negative number, and the resulting output is negative (it is an odd function).

Hope that helps!

Step-by-step explanation:

Answer:

Ernesto's construction is wrong.

Step-by-step explanation:

Ernesto's construction is wrong.

This is because when bisecting an angle, the first thing we do is to place the compass at the vertex of the angle we want to bisect and draw an arc that will cross both lines that form the angle.

In Ernesto's case the arc drawn was not a single one but drawn separately as is seen in the image.

The arc on line AV does not continue to line VI but instead he drew another arc with different compass width on line VI before bisecting the angle.

Answer:

A) The chi-square goodness-of-fit test can only be used on counts, weights are quantitative, not counts.

B) Count the number of each kind of nut, assuming the company's percentages are based on counts rather than weights.

Step-by-step explanation:

The Test of Goodnes for fit is based on the property that the χ² test is applicable when the cell probabilities depend on unknown parameters, provided that the unknown parameters are replaced with their estimates and provided that the one degree of freedom is deducted from each parameter estimated.

1) So if the estimates ( counts) are missing the test is not applicable.

2) Percentages if treated as counts can be used for the χ² test.

Answer:

30000

Step-by-step explanation:

discount (d)= 5%of M.p

=5/100 * 600000

=30000

Step-by-step explanation:

x - 3y = 2

x=2+3y.....(1)

2x - 6y = 6

2(2+3y)-6y=6

it is not measurable.

Answer:

$11343.13

Step-by-step explanation:

From the given information:

Principal = 3000

rate = 7% = 0.07

time = 19 years.

The amount of investment after 19 years for a continuous compounded interest can be estimated by using the formula:

[tex]A = Pe^{rt} \\ \\ A = 3000 \times e^{0.07 \times 19} \\ \\ \mathbf{A = \$11343.13}[/tex]

Answer:

SAS, SSS

Step-by-step explanation:

You're A>A>S

Answer:

y < x

Step-by-step explanation:

equation of line can be derived by finding slope and y-intercept

in this case the slope is 1 and the y-intercept is 0

equation is y = x

however, this is an inequality so answer is one of the following:

y > x  or  y < x

pick a point in the shaded region (these are the 'solutions'), let's pick (1, -1)

x = 1 and y = -1

which one is true?  -1 > 1  or  -1 < 1

-1 < 1 is the true one so inequality is y < x

Answer:

[tex]x^{2} + y^{2} -10x -16y + 39[/tex]

Step-by-step explanation:-

The equation used to find the equation of circle is :-

[tex](x-a)^{2} + (y-b)^{2} = radius^{2}[/tex]

'a' means the x coordinate of the circle, 'b' means y coordinate of the circle.

In the question, it's given that the coordinates of the circle are (5, -8) and radius is 8cm.

So, 'a' will be 5 and 'b' will be -8

So,

[tex](x-5)^{2} + (y--8)^{2} = 8^{2}[/tex]

[tex](x-5)^{2} + (y+8)^{2} = 64[/tex]

[tex]x^{2} - 10x + 25 + y^{2} - 16y + 64[/tex]

[tex]x^{2} + y^{2} -10x -16y + 64 - 25[/tex]

= [tex]x^{2} + y^{2} -10x -16y + 39[/tex]

Step-by-step explanation:

Números de personas: 18,847 in 2020

Answer:

x = 29

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 17 + 2x + 5 + 3x - 16 = 180

6x + 6 = 180

6x = 180 - 6

6x = 174

x = 29

Answer:

B. 28

Step-by-step explanation:  

Answer:

B. 28

Step-by-step explanation:

for every 4 boys there is 3 girls

so,

from 4 to 16 you multiply by 4,

4 x 4 = 16 (what you do to one you do to the other:

4 x 3 = 12

It's asking for the total amount

if there is 16 boys there is 12 girls with the ration of 16:12

add them up,

16 + 12 = 28 (That's your answer).

Answer:

A because if you times 14 by three it would become 42 and always inequalities have to multiply.

Hope I helped :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

v/3 ≤ - 14

x 3    x 3

v ≤ -42

Answer:

98 bracelets are in the box

Answer:

112

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Because

Answer:

z = 68, x = 9

Step-by-step explanation:

z must equal 68 since they're vertical angles.

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

180 - 68 = 112

12x + 4 = 112

---> x = 9

Answer:

z = 68 degrees

x = 9

Step-by-step explanation:

z = 68 degrees because of the vertex angle theorem

x is a little more complicated

First you set 68 + (12x + 4) equal to 180 becuase a straight line is 180 degrees.

68 + (12x + 4) = 180

-68 -68

12x + 4 = 112

-4 -4

12x = 108

/12 /12

x = 9