The function h (2) = -16x2 + 200 gives the height, in feet, of a ball after 2 seconds since being dropped from a
cliff.
Consider h(3) and its meaning in this situation.

Answer:

THREE AND SIX OR FOUR AND FIVE

Step-by-step explanation:

They're just opposite ends !

Step-by-step explanation:

Alternate Interior Angles: 3 and 6

Alternate Exterior Angles: 2 and 7

Answer:

Rida is 10 years old and her father is 40 years old.

Step-by-step explanation:

Given:

Present age

Present age of Rida = x

Present age of Rida's father = 4x

Age after 5 years

Age of Radi after 5 years = x + 5

Age of Radi's father after 5 years = 3(x + 5)

What To Find:

The present age of Rida and Rida's father.

Solution:

According to the statement the equation will be,

⇒ 4x + 5 = 3(x + 5)

Remove and solve the brackets,

⇒ 4x + 5 = 3x + 15

Take numbers to RHS and variable to LHS,

⇒ 4x - 3x = 15 - 5

Subtract 3x from 4x and 5 from 15,

⇒ x = 10

Now substitute the values of Rida's age and Rida's father's age,

Rida's age = x = 10 years

Rida's father's age = 4x = 4(10) = 40 years

Answer:

V =960 in ^3

Step-by-step explanation:

V = l*w*h

V = 12*8*10

V =960 in ^3

Answer:

[tex]y=-\frac{3}{4}x-\frac{9}{2}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]3x + 4y = 1[/tex]

Rearrange the given equation into slope-intercept form (this will help us determine m)

Subtract 3x from both sides to isolate 4y

[tex]3x + 4y-3x = -3x+1\\4y= -3x+1[/tex]

Divide both sides by 4 to isolate y

[tex]y= -\frac{3}{4} x+\frac{1}{4}[/tex]

Now, we can identify that [tex]-\frac{3}{4}[/tex] is the slope of the line. Parallel lines have the same slope, so this would also be the slope of the line we're solving for. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{3}{4}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{3}{4}x+b[/tex]

Plug in the given point (10,-12) and solve for b

[tex]-12=-\frac{3}{4}(10)+b\\-12=-\frac{3}{2}(5)+b\\-12=-\frac{15}{2}+b[/tex]

Add [tex]\frac{15}{2}[/tex] to both sides to isolate b

[tex]-12+\frac{15}{2}=-\frac{15}{2}+b+\frac{15}{2}\\-12+\frac{15}{2}=b\\-\frac{9}{2} =b[/tex]

Therefore, the y-intercept is [tex]-\frac{9}{2}[/tex]. Plug this back into [tex]y=-\frac{3}{4}x+b[/tex]:

[tex]y=-\frac{3}{4}x-\frac{9}{2}[/tex]

I hope this helps!

Answer:

4.50

Step-by-step explanation:

[tex] \sin(40) \times 7 = 4.499513268[/tex]

round it up

[tex] = 4.50[/tex]

Answer:

??????

I don't exactly see the following in your question srry :(

But I think it should be 2a^7 + 5a^7 = 7a^7

Answer:

(2+5)a^7

Step-by-step explanation:

i took the test hope this helps ^^

Answer:

11.2square feet

Step-by-step explanation:

Area of a sector = theta/360 * πr²

theta is the central angle = 80degrees

radius r = PC = 4ft

Substitute

Area of the sector = 80/360 * 3.14 * 4²

Area of the sector = 80/360 * 3.14 * 16

Area of the sector = 4,019.2/360

Area of the sector = 11.2ft²

Hence tthe area of the blue sector is 11.2square feet

Answer:

$252

Step-by-step explanation:

First you need to find how much is 20% is of 210

210*0.20=$42

Add 42 dollars to 210

210+42=$252

So the starting price per bag that he was selling was $252

Answer:

I want to help but I don't understand the question. Can you plz send a picture of the question

Answer:

200

Step-by-step explanation:

Jack share = 2/5 x 1/5 = 2/25

amount left over = 1 - (2/25 + 2/5) = 13/25

13/25 x t = 260

t = total amount of chocolate

t = (260 x 25) / 13 = 500

Davids share = 2/5 x 500 = 200

Given:

The expressions are:

[tex]2x(x^2-6x+3)[/tex]

[tex]2a^2(5b^2+3ab+6a+1)[/tex]

To find:

The product of each expression.

Solution:

According to the distributive property of multiplication over addition, we get

[tex]a(b+c)=ab+ac[/tex]

The first expression is:

[tex]2x(x^2-6x+3)[/tex]

Using distributive property of multiplication over addition, we get

[tex]2x(x^2-6x+3)=(2x)(x^2)+(2x)(-6x)+(2x)(3)[/tex]

[tex]2x(x^2-6x+3)=2x^3-12x^2+6x[/tex]

Therefore, the product of [tex]2x(x^2-6x+3)[/tex] is [tex]2x^3-12x^2+6x[/tex].

The second expression is:

[tex]2a^2(5b^2+3ab+6a+1)[/tex]

Using distributive property of multiplication over addition, we get

[tex]2a^2(5b^2+3ab+6a+1)=(2a^2)(5b^2)+(2a^2)(3ab)+(2a^2)(6a)+(2a^2)(1)[/tex]

[tex]2a^2(5b^2+3ab+6a+1)=10a^2b^2+6a^3b+12a^3+2a^2[/tex]

Therefore, the product of [tex]2a^2(5b^2+3ab+6a+1)[/tex] is [tex]10a^2b^2+6a^3b+12a^3+2a^2[/tex].

Answer:

452.4 mi^2

Step-by-step explanation:

area of circle=πr^2

=22/7*(12)^2

=3.142*144

=452.448

=452.4 mi^2

Answer:

C)    452.4 mi²

Step-by-step explanation:

a = πr²

a = π * 12²

a = π * 144

a = 452.3893421169

a = 452.4

Answer:

The answer is negative, the one you chose in the picture.

Step-by-step explanation:

Positive slope would be going upwards.

Negative slope would be going downwards.

Slopes that are zero would be horizontal.

Slopes that are undefined would be vertical.

So, the reason why the slope is negative is that the line is going downhill.

Hope this is helpful

hola quien habla español bueno ya no Adios :)

Answer:

C.(B and D

Step-by-step explanation:

Answer:

Ok so the probability  would be 16%(can be round to)

Step-by-step explanation:

Explanation:

This is because cosine is the ratio of adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

In this case, 20 is the adjacent side to the reference angle C. The hypotenuse is the longest side 29.

Answer:

14.286% increase

Step-by-step explanation:

Since the admission to the amusement park increased by $10 we need to find what percentage of $70 equals $10.

We can find this percentage by multiplying 10 (the difference in money) by 100 (a hundred percent), and dividing that by 70 (the initial cost)

[tex]10*100/70=14.286[/tex]

Answer:

Price = 20, Amount = 14

Step-by-step explanation:

A = Amount of Mangoes

P = Price for 1 Mango

P = A + 6

280 = P * A

insert A+6 for P

280 = (A+6) * A

280 = 6A + A²

280=1*a^2+6*a  | Vertausche beide Seiten der Gleichung.

1*a^2+6*a=280  | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2

1*a^2+6*a+(3)^2=3^2+280  | Rechne 3 hoch 2 aus.

1*a^2+6*a+(3)^2=9+280  | addiere 9 und 280

1*a^2+6*a+(3)^2=9+280  | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.

1*(1*a+(3))^2=289  | Auf beiden Seiten Quadratwurzel ziehen.

1*a+(3)=+-*289^0.5  

1*a_1+(3)=289^0.5  

1*a_1+3=289^0.5  | Ziehe die Wurzel aus 289

1*a_1+3=17  | -3

1*a_1=14  

The total number of mangoes bought by Kumar are 14.

"An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values is called mathematical equation. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc."

We have,

Total amount for mangoes(P) =  280

Price of one mango is equal to 6 more than the total number of mangoes (A) i.e., P = A+6

By using mathematical equation from the question

P×A = 280.....(1)

Substitute P = A+6 in equation (1)

⇒ (A+6) × A = 280

⇒[tex]A^{2}+6A =280[/tex]

Add [tex]3^{2}[/tex] on both sides of above equation

⇒[tex]A^{2}+6A+3^{2} = 280+3^{2}[/tex]

⇒[tex]A^{2}+2.(1)(3A)+3^{2} =289[/tex]          (∵ [tex](a+b)^{2} = a^{2}+2ab+b^{2}[/tex])

⇒[tex](A+3)^{2} =289[/tex]

⇒[tex]A+3 = \sqrt{289}[/tex]

⇒[tex]A=17-3[/tex]

⇒[tex]A=14[/tex]

Hence, The total number of mangoes bought by Kumar are 14.

Learn more about mathematical equation here

https://brainly.com/question/15389595

#SPJ2

Answer:

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

c^2 = 72

c = [tex]\sqrt{72}[/tex]

c=3[tex]\sqrt{8}[/tex]

c=8.485281374

Step-by-step explanation:

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution}}[/tex]

8.

[tex]7 {x}^{3} + 3 {x}^{2} + 4x + 10 - 10 - 8x - 3 {x}^{3} \\ = 7 {x}^{3} - 3 {x}^{3} + 3 {x}^{2} + 4x - 8x + 10 - 10 \\ = 4 {x}^{3} + 3 {x}^{2}- 4x[/tex]

9.

[tex]5 {x}^{4} - 4 {x}^{3} - 3x - 4 - 2x + 6 {x}^{3} + 2 {x}^{4} \\ = 5 {x}^{4} + 2 {x}^{4} - 4 {x}^{3} + 6 {x}^{3} - 3x - 2x - 4 \\ = 7 {x}^{4} + 2 {x}^{3} - 5x - 4[/tex]

10.

[tex]7 {x}^{3} - 9 {x}^{2} - 7x - 8 - 8 + 4 {x}^{2} + 6 {x}^{3} \\ = 7 {x}^{3} + 6 {x}^{3} - 9 {x}^{2} + 4 {x}^{2} - 7x - 8 - 8 \\ = 13 {x}^{3} - 5 {x}^{2} - 7x - 16[/tex]

11.

[tex]4a + 20 - 5 {a}^{2} + 20a - 35 \\ = - 5 {a}^{2} + 24a - 15[/tex]

12.

[tex]8y + 48 - 6 {y}^{2} + 36y - 24 \\ = - 6 {y}^{2} + 44y + 24 \\ = 2( - 3 {y}^{2} + 22y + 12)[/tex]

13.

[tex]3c - 12 - 5 {c}^{2} - 20c + 40 \\ = - 5 {c}^{2} - 17c + 28[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

Answer:

x = 135°

Step-by-step explanation:

4 sides and the diagonal are the same.

Therefore, it is square with each interior angle = 90°

The diagonal bisects the interior angle to 45° , 45°

x + 45° = 180°                [ straight line angle ]

x = 180 - 45 = 135°

Answer:

85%

Step-by-step explanation:

(40 - 6)/40 * 100%

34/40 * 100%

85%

Answer:

inglese please

Step-by-step explanation:

Answer:

Hello! answer: 18

Step-by-step explanation:

AC = 27 DF = 9 those are both the bottom sides of the triangles so we can find AB with this info so... 27 ÷ 9 = 3 DE = 6 6 × 3 = 18 therefore AB = 18 hope that helps!

Answer:

Step-by-step explanation:

Answer:

x=10

50 and 40

Step-by-step explanation:

The sum of the angles of triangle is 180

90 +5x+4x = 180

Combine like terms

90 +9x =180

Subtract 90 from each side

9x = 180-90

9x = 90

x = 90/9

x = 10

The angles are 5x = 5*10 =50  and 4x = 4(10)= 40

Answer:

4th option 0,5,10,15

Step-by-step explanation:

Let's check if the first choice is geometric.

2*3 = 6. is 6*3 = 18, yes! is  18*3 = 54. Yep! its geometric

the second option multiplies by -2, it is geometric

the third option multiplies by 1/5, it is geometric

The fourth option does not multiply by anything common, it is Not geometric

Answer:

0,5,10,15 is not the sequence of geometric.

Generally, to check whether a given sequence is geometric, one simply checks whether successive entries in the sequence all have the same ratio. The common ratio of a geometric series may be negative, resulting in an alternating sequence.

Step-by-step explanation:

This is totally correct!

Answer:

6:

[tex] {x}^{2} - 2x - 3 \\ = (x - 3)(x + 1) \\ when \: y = 2 \\ x = 1 \\ vertex \: is \: (1, \: 2)[/tex]

7:

[tex] {x}^{2} = - 625 \\ x = \sqrt{ - 625} \\ x = \sqrt{625} \times \sqrt{ - 1} \\ x = 25 \times \sqrt{ {i}^{2} } \\ x = 25 \times i \\ x = 25i[/tex]