Simplify 10 times the square root of quantity 2 y end quantity plus 5 times the square root of quantity 2 y end quantity plus 3 times the square root of quantity 2 y end quantity . 18 times the square root of quantity 6 y end quantity 18 times the square root of quantity 2 y end quantity 12 times the square root of quantity 2 y end quantity 18 times the square root of quantity 6 y cubed

Answer:

30+12(square root of 5)

Step-by-step explanation:

Answer:

30 + 12[tex]\sqrt{5}[/tex]

Step-by-step explanation:

To rationalise the denominator, multiply the numerator and denominator by the conjugate of the denominator.

The conjugate of 2[tex]\sqrt{5}[/tex] - 4 is 2[tex]\sqrt{5}[/tex] + 4 , then

[tex]\frac{12\sqrt{5}(2\sqrt{5}+4) }{(2\sqrt{5}-4)(2\sqrt{5}+4) }[/tex] ← expand denominator using FOIL

= [tex]\frac{120+48\sqrt{5} }{20-16}[/tex]

= [tex]\frac{120+48\sqrt{5} }{4}[/tex] ( divide each term on numerator by 4 )

= 30 + 12[tex]\sqrt{5}[/tex]

Answer:

The 2nd option

Step-by-step explanation:

As x approaches postive and negative infinity, y approches negavite infinity

Answer:

[tex]2p(7p = 7) \\ 14 {p}^{2} = 14p \\ 14 {p}^{2} - 14p = 0[/tex]

Answer:

[tex]t(n)=12 \cdot 3^{n-1}[/tex]

Step-by-step explanation:

From inspection, the points on the graph are:

Therefore, as terms of a sequence:

[tex]t_1=12\\\\t_2=36\\\\t_3=108[/tex]

The difference between the y-coordinates is not equal, therefore the sequence is geometric.

Geometric sequence formula: [tex]t_n=t_1r^{n-1}[/tex]

As [tex]t_1=12 \implies t_n=12r^{n-1}[/tex]

To find r, divide one term by the previous term:

[tex]r=\dfrac{t_3}{t_2}=\dfrac{108}{36}=3[/tex]

Therefore, geometric sequence formula: [tex]t_n=12 \cdot 3^{n-1}[/tex]

Answer: Also can i have brainliest?

The ball will hit the ground 5 seconds after being thrown.

Step-by-step explanation:

The correct function is: h(t)= -16t^2+64t+80

You can rewrite the Quadratic function given in the exercise with making h(t)=0. Then this is:

0= -16t^2+64t+80

Now you can simplify the equation dividing both sides by -16. So you get:

0= t^2-4t-5

To find the solution of the Quadratic equation, you can factor it. In order to do this, it is necessary to find two numbers whose sum is -4 and whose product is -5. These number would be -5 and 1.

Therefore, you get this result:

0= (t-5) (t+1)

t1=5

t2=-1

Since the time cannot be negative, you can conclude that the ball will hit the ground 5 seconds after being thrown.

For the path of a ball being thrown maximum height is 144 units, time taken to reach maximum height is 2 units and time, it take to hit the ground is 5 units.

Projectile motion is the motion of the body, when it is thrown in the air taking the action of gravity on it.

The path of a ball being thrown off a building can be modeled by the equation

[tex]y= -16t^2+64t+80[/tex]

Comparing this equation, with standard form of quadratic equation, we get,  a=-16, b=64 and c=80.

Thus, the maximum height time can be given as,

[tex]t=-\dfrac{b}{2a}\\t=-\dfrac{64}{2(-16)}\\t=2\rm sec[/tex]

Thus, the time taken to reach maximum height is 2 seconds.

Again by the equation,

[tex]y= -16t^2+64t+80[/tex]
As it reaches maximum height after the 2 seconds. Therefore,

[tex]y_{max}= -16(2)^2+64(2)+80\\y_{max}= 144\rm[/tex]

This can be find out with the following formula,

[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\dfrac{-64\pm\sqrt{64^2-4(-16)(80)}}{2(-16)}\\t=\dfrac{-64\pm96}{-32}\\[/tex]

Taking negative sign,

[tex]t=\dfrac{-64-96}{-32}=5\\[/tex]

Taking positive sign,

[tex]t=\dfrac{-64+96}{-32}=-1\\[/tex]

Thus the time, it take to hit the ground is 5 units.

80 is the constant coefficient of the equation, which represent the height in the feet.

Hence, for the path of a ball being thrown maximum height is 144 units, time taken to reach maximum height is 2 units and time, it take to hit the ground is 5 units.

Learn more about the projectile motion here;

https://brainly.com/question/24216590

Hii!

8/11×1/2 is 8/22

Simplified to

8/22->4/11

Hope dis helps:]]

Brainliest?

Answer:

A.

C.

Step-by-step explanation:

A. When adding a negative number to a positive, you subtract. 2.3 - 2.3 will equal 0.

B. When adding two negative numbers, you get an even smaller negative number. (-3.7) + (-4.1) = -7.8

C. When subtracting a negative number, the two negative signs become a positive. -12/4 is equal to 3. -2.6 + 3 is 0.4, which is positive.

D. 5/2 is the same as 2.5. If you subtract 2.5 from 2.5, you will get 0, which is not negative.

E. Two negative signs make a positive, so 72 + 100 is positive, not negative.

Answer:

Step-by-step explanation:

The BODMAS rule states we should calculate the Brackets first (2 + 4 = 6), then the Orders (52 = 25), then any Division or Multiplication (3 x 6 (the answer to the brackets) = 18), and finally any Addition or Subtraction (18 + 25 = 43). Children can get the wrong answer of 35 by working from left to right.

Answer:

14

Step-by-step explanation:

with "and" you mean "+" ?

if so, then

3 + 0.75x = 10 + 0.25x

you know that it is perfectly OK to add or subtract the same number to/from both sides of the equation ?

the same for multiplication and division.

the important thing is to do always the same thing to both sides.

1. subtracting 3 from both sides

0.75x = 7 + 0.25x

2. subtracting 0.25x from both sides

0.5x = 7

3. dividing both sides by 0.5

x = 7/0.5 = 7 / 1/2 = 7 × 2/1 = 14

Answer:

Thank you for these points

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yeah thanks.

Have a great day!

Answer:

Step-by-step explanation:

Answer:

5.9 oz red tone,

1.7 oz gray tone,

2.9 OZ of brown tone

Answer:

Answer is below :)

Step-by-step explanation:

Hope this helps you!

If you still need help just respond, I'll type it out

Answer:

  7

Step-by-step explanation:

The order of operations tells you to start any evaluation by looking at the innermost set of parentheses first.

Here, that means your first step is to find the value of h(-3). You do that by finding the input (x) value -3 in the table for h(x), and locating the corresponding output, h(x), which is 2.

Now, the problem becomes evaluating g(2).

You do the same thing for that function: locate the input x=2 in the table for g(x) and find the corresponding output: 7.

Now, you know ...

  g(h(-3)) = g(2) = 7

Answer:

the slope is undefined

Step-by-step explanation:

x=-2 is a horizontal line, if the line you're looking for is perpendicular to a straight line then its a vertical line, making the slope undefined

Answer:

#FOR MY OPINION

hes have some $40 dollars before doing the tax
and she buy the bracelet bracelet prise is $5
AND HER MOTHER ASK THE BRACELET AND HER MOTHER GET SOME $20 DOLLARS THE TOTALY IS- $15.4

Step-by-step explanation:

The length of the diagonal AC is equal to the length of the diagonal BD,

which is 8×10 - 32 = 48.

Response:

The given parameters are;

The diagonals of the rectangle are AC and BD

The point of intersection of the rectangle = Point E

AE = 2·x + 4

BD = 8·x - 32

Required:

The length of AC

Solution:

The diagonals of a rectangle bisect each other and have equal length.

Therefore;

AE = [tex]\mathbf{\frac{1}{2}}[/tex] × BD

Which gives;

[tex]2 \cdot x + 4 = \mathbf{\dfrac{1}{2} \times \left(8 \cdot x - 32\right)}[/tex]

2·x + 4 = 4·x - 16

4·x - 2·x = 4 + 16 = 20

2·x = 20

[tex]x = \dfrac{20}{2} = 10[/tex]

x = 10

AC = 2 × AE

Which gives;

AC = 2 × (2·x + 4) = 4·x + 8

Learn more about the properties of a rectangle here:

https://brainly.com/question/13000024

Answer:

  PS ≈ 6.08

Step-by-step explanation:

All of the side lengths are given except PS. It can be found using the Law of Cosines, twice.

The first use of the Law of Cosines will be to find the cosine of the angle at X.

  QR² = QX² +RX² -2(QX)(RX)cos(X)

  cos(X) = (QX² +RX² -QR²)/(2·QX·RX) = (8² +10² -4²)/(2·8·10) = 37/40

__

Now, the Law of Cosines can be used to find PS:

  PS² = PX² +SX² -2(PX)(SX)cos(X)

  PS² = 16² +15² -2(16)(15)(37/40) = 37

  PS = √37 ≈ 6.083

The length of PS is about 6.08 units.

_____

As the attachment shows, the problem can also be solved using a geometry app to draw the figure and make the measurement.

Answer:

the answer is 46 hope it helps

Answer:

7

Step-by-step explanation:

Answer:

(- 7, - 4 ) and (4, 7 )

Step-by-step explanation:

under a clockwise rotation about the origin of 180°

a point (x, y ) → (- y, - x ) , then

(- 7, - 4 ) → (4, 7 )

Answer:

12

Step-by-step explanation:

area of a trapezoid :

[tex]A = \frac{a+b}{2} h[/tex]

where a and b = length of bases and h = height

here, we are given the area, the length of one base and the height

we want to find the other base length

we can do this by plugging in what we are given and then solving for the unknown variable

first lets define our known variables

Area (A) = 42 , height (h) = 4 and length of one of the bases (a) = 9

we then plug this into the formula and solve for b, the other base length

recall formula : [tex]A = \frac{a+b}{2} h[/tex]

A = 42 , h = 4 , a = 9

[tex]42 = \frac{9+b}{2} 4[/tex]

now solve for b

divide both sides by 4

[tex]10.5=\frac{9+b}{2}[/tex]

multiply both sides by 2

21 = 9 + b

subtract 9 from both sides

12 = b

the other base length is 12

Answer:

14 cupcakes

Step-by-step explanation:

40 percent of 35 is 14

Answer:

14 cupcakes had sprinkles.

Step-by-step explanation:

Write 40% as 40/100. Since finding the fraction of a number is the same as multiplying the fraction with the number, we have 40/100 of 35 = 40/100 × 35.

Answer:

140 = aangle 1

Answer:

x=-1 y=-4

x=0 y=-5

x=1 y=-6

x=2 y=-7

Step-by-step explanation:

Answer:

64 cm

Step-by-step explanation:

take the

cube root of 262144

Answer:

f(x)=3x+1 = (-1/3, 0)

g(x)=4x^2-4 = (1, 0), (-1, 0)

Step-by-step explanation:

Hope this helped!

Answer:

Step-by-step explanation:

Given:

Find f(g(x)):

Answer:

A. Determine 1% of 56, both of them

Step-by-step explanation: