The ratio of boys to girls in a class is 4:5
A. What fraction of the class are boys?
B. What fraction of the class are girls?

Answer:

At the time of launch height of the object was 60 meters.

Step-by-step explanation:

An object was launched from a platform and its height was modeled by the function,

h(x) = -5x² + 20x + 60

Where x = time or duration after the launch

At the time of launch, x = 0

So, by putting x = 0 in this equation,

h(0) = -5×(0) + 20×(0) + 60

h(0) = 60

Therefore, at the time of launch height of the object was 60 meters.

Answer:81/m^7(D)

Step-by-step explanation:

81m^5/12

81/m^7

Answer:

6ft by 6 ft

Step-by-step explanation:

area of a square =length*width whereas they are supposed to be of the same measurements

Answer:

6

Step-by-step explanation:

Because my lucky num is 6

Answer: 7

Step-by-step explanation:because it is one of my favorite integers

Answer:

-x⁴

Step-by-step explanation:

x⁵/(-x)= -x⁴

For friend 1, the relative frequency is [tex]\frac{25}{71}\approx 0.352.[/tex]

For friend 2, it's [tex]\frac{53}{71}\approx 0.746,[/tex] and for friend 3, it's [tex]\frac{23}{71}\approx 0.319.[/tex]

Combining the data of all three would give a relative frequency of [tex]\frac{101}{213}\approx 0.474.[/tex]

If each friend were to flip a coin 710 times, assuming the coin to be a fair coin, we'd expect about half of the flips to be heads, so the relative frequency would be close to 0.5.

Height of table is 18 inches

Height of one block is 2 inches

The height would be 34 inches with 8 blocks ✌️

Answer:

Well each block is 2

Step-by-step explanation:

cause the height of the table is 18 itself it says in the table and one block just adds 2

i hope it's right sorry if it's not

I understand the struggle

The answer is 58 degrees.

Answer:

1)The ball hits the ground after 3 seconds.

2)The maximum height of the ball is 49 feet

3)It takes 1.25 seconds to reach its maximum height

Step-by-step explanation:

Height of building = 40 feet

We are given that A ball is thrown straight up from the top of building with an initial speed of 24 feet per second.

So, The height of the ball as a function of time can be modeled by: [tex]h(t)=-16t^2+40t+24[/tex]

1)After how many seconds the ball hit the ground.

Substitute h(t)=0

So,[tex]-16t^2+40t+24=0\\-2t^2+5t+3=0\\2t^2-5t-3=0\\2t^2-6t+t-3=0\\2t(t-3)+1(t-3)=0\\(2t+1)(t-3)=0\\t=\frac{-1}{2} , 3[/tex]

Since time cannot be negative

So,the ball hits the ground after 3 seconds.

2)What is the maximum height of the ball?

It takes maximum height at vertex

Formula : [tex]t = \frac{-b}{2a}[/tex]

[tex]t=\frac{-40}{2(-16)}=1.25 seconds[/tex]

Substitute the value of t in function

[tex]h(1.25)=-16(1.25)^2+40(1.25)+24\\h(1.25)=49 feet[/tex]

So,the maximum height of the ball is 49 feet

3).How long did it take for the ball to reach its maximum height?

It takes 1.25 seconds to reach its maximum height

Answer:

10x+13y

Step-by-step explanation:

remove parentheses:

2x+3y+8x+10y

add like-terms:

2x+8x+3y+10y

add numbers with the same variables/elements

10x+3y+10y-->10x+13y

hope this helps

Hello!

[tex]\boxed{ \bf The~correct~answer~is~10x~+~13y.}[/tex]

________________________________________________

(2x + 3y) + (8x + 10y)

First, drop the brackets:

2x + 3y + 8x + 10y

Next, collect like terms:

2x + 8x + 3y + 10y

Finally, add the like terms together:

10x + 13y

Answer:

(7,7)

Step-by-step explanation:

The maximum point in a graph is where the y value is the highest. On this graph, the point (7,7) has the highest y value of 7 of the entire graph, making it the maximum. Hope this helps!

Answer: No, the power multiplied to 8.64 should have an exponent of 0. B pretty much

Step-by-step explanation: just got that question trust me it’s right.

Answer:

No, the power multiplied to 8.64 should have an exponent of 0.

Answer:

(cos^2(x)-1) cot (-x); last expression.

Step-by-step explanation:

You'll first need to simplify the given expression. Then look at each option. To find out whether or not two expressions are equivalent see if they have the same value irrespective of the value of the variables in them.

1) (1-cos^2(x)) cot (-x) is equivalent

2) (cos^2(x)-1) cot(x) is equivalent

3) (sin62(x)-10 tan (x) is equivalent

4) (cos^2(x)-1) cot (-x) is not equivalent.

Answer:

5 ft

Step-by-step explanation:

Answer:

If the y-intercept is 0, then this graph passes through [3,-2][6,-4][9,-6] and so forth.

Step-by-step explanation:

Rise over run, 3 is the rise, and -2 is the run. Using this you can find any point on the line up to infinity.

Answer:

it passes through y intercept

Please mark me as a Brainliest

Answer:

20 kilograms of dough

Step-by-step explanation:

Given that;

12 kilograms working 6 hours

Rate = 12/6 kilogram per hour = 2 kilogram per hour

So,

In 10 hours he would produce;

Amount of dough = Time × rate

Time = 10 hours

= 10 hours × 2 kilograms per hour

= 20 kilograms of dough

Answer:

20 kilograms of dough

Step-by-step explanation:

Given;

12 kilograms of dough for 6 hours

how many of this will be produced in 10 hours ?

= (12 x 10) / 6

= 20 kilograms of dough

=

Answer:

The size of the population of red squirrels in the UK at the start of 2010 is 3772

Step-by-step explanation:

At the start of 2016 , No. of squirrels = 10000

The rate of decrease is 15% per year.

So, No. of squirrels after x years = [tex]10000(1-0.15)^x[/tex]

We are supposed to find the size of the population of red squirrels in the UK at the start of 2010.

So,No. of squirrels after 6 years = [tex]10000(1-0.15)^6=3771.49[/tex]

Hence the size of the population of red squirrels in the UK at the start of 2010 is 3772

Answer:

Step-by-step explanation:

The population in 2016 is 10,000 but we re trying to find the population in 2010.

Let the start population be P.

Then P*(1-0.15)^6 = 10000

P*(0.85)^6 = 10000

P = 10000 / (0.85)^6

P = 26514.6834

In 2010 :

P = 26500 to 3 significant figures

Answer:

33.7°

Step-by-step explanation:

The smallest angle -> opposite of the smallest side

Smallest side = 10yards

Calling this angle a

we have 10^2 = 15^2 +18^2 -2*15*18*cosa

-> cos a=0.83

cos^-1(a)=0.83 -> a =33.7 degree

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

[tex]\frac{x}{2}[/tex] + [tex]\frac{y}{2}[/tex] = 1 ( multiply through by 2 to clear the fractions )

x + y = 2 ( subtract x from both sides )

y = - x + 2 ← in slope- intercept form

(a) with slope m = - 1

(b) with y- intercept c = 2

(c)

Parallel lines have equal slopes, thus

y = - x + c ← is the partial equation of PQ

To find c substitute (2, - 8) into the partial equation

- 8 = - 2 + c ⇒ c = - 8 + 2 = - 6

y = - x - 6 ← equation of PQ

To show (- 1, - 5) lies on PQ, substitute x = - 1 into the equation and evaluate for y.

y = - (- 1) - 6 = 1 - 6 = - 5 ← the given y- coordinate

Thus PQ passes through (- 1, - 5 )

Answer:

So, the time interval between successive compression from the source is 0.002 seconds.

Step-by-step explanation:

Given that,

Frequency of the tone, f = 500 Hz

It is sitting at a distance of 450 m from the source of sound, d = 450 m

Let t is the time interval between successive compression from the source. We know that the relation between the frequency and the time period is :

[tex]T=\dfrac{1}{f}T=\dfrac{1}{500}\\\\T = 0.002 s[/tex]

Answer:

Rosa will go farther.

Step-by-step explanation:

1. Samy's travel distance.

3/4 of 20

3/4 * 20 = 15 gallons

15 miles for every gallon

15 * 15 = 225

Samy's travel distance is 225 mIles

2. Rosa travel distance.

13 gallons

19 miles for every gallon

19 * 13 = 247 mIles

Rosa's travel distance is 247 mIles.

Answer:

24 cubic inches.

Step-by-step explanation:

[tex]2a \times a^{2} +a^{3} \\2a^{3} +a^{3}[/tex]

[tex]3a^3\\3(2)^3\\3 \times 8[/tex]

Answer:

[tex]\frac{a}{1 +bc} = x[/tex]

Step-by-step explanation:

In this question, it appears that you need to solve this equation in terms of x.

Beginning with the equation a = x(1 + bc), we must isolate the 'x' variable and make an equation equivalent to 'x'. This can be done by:

a = x(1 + bc)

Divide (1 + bc) from both sides, giving you:

[tex]\frac{a}{1 +bc} = x[/tex]

Answer:

a.

Step-by-step explanation:

It is not a negative so it can’t be c or d I think it is a

Answer:b

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Let me give you an example to help;

[tex]y = 2x + 3[/tex]

This equation is in slope - intercept form, which can be demonstrated through the following notation -

[tex]y = mx + b - Where, m = slope, and, b = y - intercept[/tex]

Now to solve for the x - intercept, we will have to propose y as 0;

[tex]0 = 2x + 3,\\2x = - 3,\\x = - 3 / 2 = - 1 and 1 / 2[/tex]

Thus the x - intercept = - 1 and 1 / 2;

* Note that you can't solve a slope intercept form equation, unless it is a system of equations, and if that is the case just let me know and I can help you out with that *

Answer:

Thw answer would be B

Step-by-step explanation:

Answer:

OB.

The equation that represents this situation is 10+ x=-18. The second number is -28.

Step-by-step explanation:

First, sum means added together.

Second, one value in the sum is given so:

10+(var)=-18

var=8

and if we solve, we get -28.

The value of the variable 'x' will be 85. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

x + 40 + 55 = 180

Simplify the equation, then the value of 'x' is given as,

x + 40 + 55 = 180

x + 95 = 180

x = 180 - 95

x = 85

The value of the variable 'x' will be 85. Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

The missing diagram is given below.

Answer:

the last one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

is the answer because x-x = 0

since -2 is left that's the answer!