The ratio of girls to boys in a particular classroom is 8: 7. How many boys are in the class if there are 45 students?

ONLY ANSWER IF YOU KNOW THE ANSWER

this figure can be divided into three parts one is rectangle other one is semicircle and the third one is one fourth of the circle .so let's find the area of each figure one by one. For the rectangle 12×8 =96

for semicircle that is on the top it has the radius 6 which is a half of 12

so area of the semicircle is

[tex] \frac{1}{2} \pi \: r {}^{2} \\ \frac{1}{2} \times 3.14 \times 6 {}^{2} \\ 3.14 \times 18 \\ 56.52[/tex]

no that's fine. 80 of the 1/4 of the other Circle

[tex] \frac{1}{4} \pi {}^{2} \\ \frac{1}{4} 3.14 \times 8 {}^{2} \\ 3.14 \times 16 \\ 50.24[/tex]

add all these areas

96+56.52+50.24 =202.76

Answer:

D

Step-by-step explanation:

We have the quadratic function:

[tex]f(x)=-x^2-4x+5[/tex]

First, the domain of all quadratics is always all real numbers unless otherwise specified. You can let x be any number and the function will be defined.

So, we can eliminate choices A and B.

Note that since the leading coefficient is negative, the parabola will be curved downwards. Therefore, it will have a maximum value. This maximum value is determined by its vertex, which is (-2, 9).

Since it is curving downwards, the maximum value of the parabola is y = 9. It will never exceed this value. Therefore, the range or the set of y-value possible is always equal to or less than 9.

So, the range of the function is all real numbers less than or equal to 9.

Our answer is D.

It is not C because the maximum value is dependent on y and not x.

Answer:

f(3) = 12

Step-by-step explanation:

f(3) = (3 x 2) + 24 - 12

     = 6 + 24 - 12

f(3) = 12

If this helps you, please give brainliest!

Answer:

Step-by-step explanation:

f(x) = [tex]x^{2}[/tex] + 24 - 12

substitute 3 inplace of x

f(3) = [tex]3^{2}[/tex] + 24 - 12

=9 + 24 - 12

21

If the question is f(x) = x2 + 24 - 12     {x*2 + 24 - 12}

now substitute 3 in place of x

f(3) = 3*2 + 24 - 12

=6 + 24 - 12

18

Answer: 2 and 3

Step-by-step explanation:

its numbers

Answer: uhh 10%??

Step-by-step explanation:

I'm not rlly good at percentage-

Step-by-step explanation:

Derive an expression for the equivalent width in a saturated line. Assume a Voigt profile, with the difference in optical depth between the center of the line and the wings being ~104. The wings of the line can be ignored. Define a frequency x1 = (v1 − v0)/ΔvD, where the optical depth τv = 1. Inside of x1 the line is fully saturated, and outside x1 the line is optically thin. Show that the equivalent width is



Note that the equivalent width is practically insensitive to the number density of absorbing material.

Answer:

3. -3,0,|3|, (-3)^2

Step-by-step explanation:

Answer:

answer would be option 3

Step-by-step explanation:

help this helps

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 8 \frac{1}{3}\:(or) \:8.333}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex]3 \frac{3}{4} \times 2 \frac{2}{9} [/tex]

➺[tex] \: \frac{15}{4} \times \frac{20}{9} [/tex]

➺[tex] \: \frac{300}{36} [/tex]

➺[tex] \: \frac{25}{3} [/tex]

➺[tex] \: 8 \frac{1}{3} [/tex]

➺[tex] \: 8.333[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\pink{Mystique35 }}{\orange{❦}}}}}[/tex]

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

Explanation:

The radius of each sphere is r = 3

The volume of one sphere is

V = (4/3)*pi*r^3

V = (4/3)*pi*3^3

V = 36pi

That's the volume of one sphere.

Three spheres take up 3*36pi = 108pi cm^3 of space.

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

The radius of the cylinder is also r = 3, since each tennis ball fits perfectly in the container.

The height is h = 18 because we have each ball with a diameter 6, which leads to the three of them stacking to 3*6 = 18.

The volume of the cylinder is...

V = pi*r^2*h

V = pi*3^2*18

V = 162pi

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

Subtract the volume of the cylinder and the combined volume of the spheres:  162pi - 108pi = (162-108)pi = 54pi

This is the exact volume of empty space inside the can.

This points to choice A as the final answer

Answer:

(a) - 3/2

(b) - 78/25

Step-by-step explanation:

According to the trigonometry, the tangent of any angle is the ratio of rise to the run of the right angle triangle .

The sine of an angle is the ratio of rise to the hypotenuse of the right angle triangle.

The cosine of an angle is the ratio of run to the hypotenuse of the right angle triangle.

(a)

[tex]tan\beta = \frac{3}{-2} = \frac{-3}{2}[/tex]

(b)

[tex]13 sin\beta cos \beta = 13\times \frac{3}{\sqrt{3^2+2^2}}\times\frac{-2}{\sqrt{3^2+2^2}}\\\\13 sin\beta cos\beta = \frac{- 78}{25}[/tex]

Step-by-step explanation:

a.fourth quadrent

b.third quadrent.

Answer:yes

Step-by-step explanation:66

The given statement  A U (B - C) = (A U B) - C is true.

A set is collection of well defined objects.

According to the given question we have to state whether A ∪ ( B - C ) = ( A ∪ B ) - C.

Lets consider we have three sets A, B and C and we also consider they intersect each other.

( B - C ) represents the elements which belongs to B but not in C.

∴ A ∪ ( B - C ) represents the no. of elements which belongs to the set B but not in C union the no. of elements which belongs to A.

AND

( A ∪ B ) - C represents no. of elements which belongs to A or B but not in C.

learn more about sets here :

https://brainly.com/question/8053622

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Answer:

B

Step-by-step explanation:

Had it on Khan Academy.

True statement for the given graph is the point [tex](3,9)[/tex] shows that [tex]9[/tex] liters of red paint are needed for every [tex]3[/tex] liters of blue paint.

" Graph is defined as diametrical representation of the relation between the variables on the coordinate plane along x-axis and y -axis."

According to the question,

As given in the graph,

Graph represents the linear relation between red paint and blue paint.

'x -axis' on the graph represents the blue paint

'y- axis' on the graph represents red paint

A. The point [tex](0,0)[/tex] shows that any amount of red and the blue paint will make same shade of purple.

From the graph coordinates [tex](1,3)[/tex] and [tex](2, 6)[/tex]represents that proportion of blue : red to make required purple shade is [tex]1: 3[/tex].

Hence, Option A is not a correct answer.

B.  The point [tex](3,9)[/tex] shows that [tex]9[/tex] liters of red paint are needed for every [tex]3[/tex] liters of blue paint.

Coordinate [tex]( 3,9)[/tex] on the graph represents the ratio of blue : red [tex]= 3 : 9[/tex] which is equals to [tex]1:3[/tex] .

Hence, Option(B) is the correct answer.

Learn more about graph here

https://brainly.com/question/20381610

#SPJ2

Answer:

60

Step-by-step explanation:

given:

l = 10

b = 5

h = 2

to find:

2h(l + b)

substitute the given values of l , b and h

=2*2(10 + 5)

=4*15

=60

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{2h(l + b)}[/tex]

[tex]\large\text{If l = 10, b = 5, and h = 2, then substitute it into the equation!}[/tex]

[tex]\large\textsf{= 2(2)((10)+ 5)}[/tex]

[tex]\large\textsf{2(2) = \boxed{\bf 4}}[/tex]

[tex]\large\textsf{= 4(10 + 5)}[/tex]

[tex]\large\textsf{10 + 5 = \boxed{\bf 15}}[/tex]

[tex]\large\textsf{4(15)}[/tex]

[tex]\large\textsf{= \boxed{\bf 60}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: \textst \bf 60}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

.2813

Step-by-step explanation:

If two events are independent that means that

A*B= A and B

so

let p(b)= x

.09=.32*x

x= .28125

Round this to

.2813

Step-by-step explanation:

since p(a) and p(b) are independent events

p(a).p(b)= p(a and b)

0.32×p(b)=0.09

p(b)=0.09÷0.32

p(b)=0.28

Answer:

1800 ml of oil

Step-by-step explanation:

300*6

Answer:

1) P = 282m, A = 141m^2

2) P = 82.4in, A = 40in^2

3) P = 62.7m, A = 73.1m^2

Step-by-step explanation:

1) top:L=12m, W=3m, mid: l= 12m, w= 12-7 = 5m, bot: l=15m, w=3m

Perimeter= 2(lw)

P = 2(12x3) + 2(12x5) + 2(15x3)

P = 2(36) + 2(60) + 2(45)

P = 72 + 120 + 90

P = 282m  

Area= lw

A = (12x3) + (12x5) + (15x3)

A = 36 + 60 + 45

A = 141m^2

2) Rectangle:l=7in, w=5in, Right Triangle:a=5-3=2in, b=12-7=5in

Perimeter= 2(lw) + (a+b+sqrt(a^2+b^2))

P = 2(7x5) + (2+5+sqrt(2^2+5^2))

P = 70 + 12.39

P = 82.4in

Area= lw + ((ab)/2)

A = (7x5) + ((2x5)/2)

A = 35 + 5

A = 40in^2

3) Semi-Circle: d=8m, r=8/2=4m, Right Triangle: a=8m, b=12m

Perimeter= pid + (a+b+sqrt(a^2+b^2))

P = 9pi + (8+12+sqrt(8^2+12^2))

P = 28.27 + 34.42

P = 62.7m

Area= (1/2)pir^2 + ((ab)/2)

A = (1/2)pir^2 + ((ab)/2)

A = (1/2)pi(4)^2 + ((8x12)/2)

A = 25.13 + 48

A = 73.1m^2

Answer:

27

Step-by-step explanation:

every 30 men = 9 men with beards

you have 30 3 times in 90 so you get 27

60÷2=30

18÷2=9

30 men normal = 9 men with beards

90÷30=3

3×9=27

Answer:

in a relationship that maps elements from one set (the inputs) into elements from another set (the outputs), the usual notation for the ordered pairs is:

(x, y), where x is the input and y is the output.

In this case, the point where the arrow starts is the input, and where the arrow ends is the output.

a)

The ordered pairs are:

(28, 93)

(17, 126)

(52, 187)

(34, 108)

(34, 187)

b) The domain is the set of the inputs, in this case the domain is the set where all the arrows start, then the domain is:

{17, 28, 34, 52}

And the range is the set of the outputs, in this case the range is:

{93, 108, 126, 187}

c) A function is a relationship where the elements from the domain, the inputs, can be mapped into only one element from the range.

In this case, we can see that the input {34} is being mapped into two different outputs, then this is not a function.

d) We can remove one of the two ordered pairs where the input is {34},

So for example, we could remove:

(34, 108)

And then the relation would be a function.

Step-by-step explanation:

the true answers are:

A. f(-1)=6

D. the domain for f(x) is the set

{-2,-1,0,1,2,3,4,5,6}

Answer:

45

hope this helps

Answer:

45

Step-by-step explanation:

9x5=45

Step-by-step explanation:

[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]

Answer:

profit

hope it is helpful to you

Step-by-step explanation:

Markup is the percentage amount by which the cost of a product is increased to arrive at the selling price.

Answer:

1.31(2.80)^x

Step-by-step explanation:

Given the data :

x : 1 2 3 4 5 6

y : 4 9 27 90 250 580

Using technology, the exponential regression data obtained by fitting the data is :

y = 1.31(2.80)^x

Where, y = predicted value

1.31 = Initial value

2.80 = growth fractor

x = period

Answer:

1.31(2.80)^x

trust me i just did the cst

Step-by-step explanation:

Answer:

<2, <3, <6, <7

Step-by-step explanation:

Supplementary to <4 means that, <4 and that angle equals 180. So we will move angle by angle.

<1 = Is not supplementary because both are virtually opposite angle and virtually opposite angles are equal.

<2 = Is supplementary angle because it is a vertical linear pair with <4.

<3 = Is supplementary angle because it is horizontal linear pair with <4

<5 = Is not supplementary angle because they are alternate interior angles and alternate angles are equal.

<6 = Is supplementary because angles on the same side and same interior/exterior are supplementary. (By interior/exterior, I meant that they have to be either interior or exterior. No both)You can also use the reason that 6 and 2 are corresponding angles, and corresponding angles are equal. So, if 2 is supplementary to 4, then 6 is also supplementary to 4. I think the latter is better than the first.

<7 = Is supplementary because it is vertically opposite to 6 and 6 is supplementary, so 7 is also supplementary.

<8 = Not supplementary. Because 4 and 8 are corresponding angles and corresponding angles are not equal. And also 8 is equal to 5. And 5 is not supplementary to 4. That means 8 is also not.

Ugh... I really hope u understand, and don't think that I am blabbering.

Thank You

Please mark me as the brainliest

Answer:

1+1=11 2+2=22 ok na yan kuya or ate