find the smallest number by which 252 must be multiplied to get a perfect square . also find the square root of the perfect square so obtained.​

Answer:

Time taken for the ball to hit the ground back = 3.08 s

Step-by-step explanation:

h(t)= -16t² + 48t + 4

when will rhe object come back to hit rhe ground?

When the ball is at the level.of the ground, h(t) = 0.

0 = -16t² + 48t + 4

-16t² + 48t + 4 = 0

Solving the quadratic equation

t = 3.08 s or t = -0.08 s

Since the time cannot be negative,

Time taken for the ball to hit the ground back = 3.08 s

Hope this Helps!!!

Step-by-step explanation:

Answer:

10x-20

Step-by-step explanation:

(5×2x)-(5×4)

10x-20

Answer:

The answer would be C.

Compared to the original graph (red), the new graph (blue) is shifted 7 units to the left.

Step-by-step explanation:

Answer:

shift 7 units to the LEFT

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

this is probability

probability of 5 occuring once is = 5/42=0.119

therefore, probability of 5 occuring in 42 times is;

42 x 0.119=4.998

approximately 5

Answer:

i have also no idea but plz mark me as brainlist

Answer:

200 adults

Step-by-step explanation:

1/8 of the passengers (children) is 40

Total passengers in the train is 8/8

Therefore to get the total number of passengers is given by

(8/8) × 40 × (8/1)

= 240 passengers

Adults in the train = Passengers - Children

= 240 - 40

= 200 adults

Answer:

[(b/c)=0.15)]

Step-by-step explanation:

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

Work Shown:

P(B/C) = P(B and C)/P(C) ... conditional probability formula

P(B and C) = P(C)*P(B/C)

P(B and C) = 0.20*0.15

P(B and C) = 0.03

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

P(C/B) = P(C and B)/P(B) .... note the swap of B and C

P(C/B) = P(B and C)/P(B)

P(C/B) = (0.03)/(0.25)

P(C/B) = 0.12

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

Extra notes:

Answer:

Ax + By = C is standard form.

y + 1 = (2/3)(x - 8)

distribute the (2/3)

y + 1 = (2/3)x - (16/3)

Multiply each term by 3 to clear the fractions.

3y + 3 = 2x - 16

Subtract 2x from both sides.

-2x + 3y + 3 = - 16

Subtract 3 from both sides.

-2x + 3y = - 19

Correct form typically has the leading coefficient as a positive number so multiply each term by - 1.

2x - 3y = 19

Step-by-step explanation:

Answer:

The answer is 2x + -3y = 19

Step-by-step explanation:

got it right on edge

Answer:

Step-by-step explanation:

Remark

The measurement of the arc is 3Pi

that represents 108 / 360 of the circle.

Equation

108/350 2 * pi * R = 3* pi

Solution                            

Pi is on both sides of the equation. They both cancel.

108/360 = 0.3

0.3 * 2 * R = 3

0.6 * R = 3

R = 3/0.6

R = 5

Answer:

-16

Step-by-step explanation:

Follow . PEMDAS

plug the numbers in

4*2 =8 and -4*6=24

add both...

-16.

Step-by-step explanation:

4(2)+(-4)(6)

8-24

-16

hope it helps..

Answer:

Hello,

Step-by-step explanation:

Since 4u²+8u=4u(u+2)

Zeroes ={0,-2}

Coefficients={4,8}

But i don't know the relationship.

Answer:

$100

Step-by-step explanation:

The amount Lucia gave Brenda = Half the amount in the store counter

The amount Brenda added to the money Lucia gave her = Half the amount in her (Brenda) savings

The amount Brenda had saved = Half of the amount Lucia earned in the store that day

The number of food and treat packets Brenda bought = 5

The cost of each packet = $15

Let x represent the amount Lucia earned and let y represent the amount Brenda saved

We have;

x/2 = y

x/2 + y/2 = 15 × 5 = 75

Therefore, we get;

y + y/2 = 75

(3/2)·y = 75

y = 75 × 2/3 = 50

y = 50

From x/2 = y, we have;

x/2 = 50

x = 2 × 50 = 100

The amount Lucia earned in her store that day, x = $100

Answer:

IT = 13.5

Step-by-step explanation:

Recall: According to the Centroid theorem the Centroid of is ⅔ of the distance of the vertex of the triangle to the midpoint of the opposite side.

This means that:

ST = ⅔(IT)

ST = 9 (given)

Substitute

9 = ⅔(IT)

Multiply both sides by 3

3*9 = 2(IT)

27 = 2(IT)

Divide both sides by 2

27/2 = IT

IT = 13.5

Answer: [tex]26.4\ \text{days}[/tex]

Step-by-step explanation:

Given

Half life of radioactive substance is [tex]T_{\frac{1}{2}}=20\ \text{days}[/tex]

Initial amount [tex]A_o=2\ \text{days}[/tex]

Amount left at any time is given by

[tex]\Rightarrow A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow 2=52^{\dfrac{-t}{20}}\\\\\Rightarrow 0.4=2^{\dfrac{-t}{20}}\\\\\Rightarrow 2^{\dfrac{t}{20}}=2.5\\\\\Rightarrow \dfrac{t}{20}\ln 2=\ln (2.5)\\\\\Rightarrow t=\dfrac{20\ln (2.5)}{\ln 2}\\\\\Rightarrow t=26.4\ \text{days}[/tex]

It takes 26.4 days to reach 2 gm.

Answer:

wouldn’t it just be 21? because both are the same but mirrored

Answer:

5/18

Step-by-step explanation:

The total number of horses present is 9

The probability that the first selected horse is tan is 4/9

So , now for the second choice , we are left with 8 total horses of which 5 is brown

The probability is 5/8

So the joint probability is the product of this two

That will be;

5/8 * 4/9 = 5/18

Answer:

yes it is a function         A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok

These triangles are congruent by SAS, therefore HI and IJ will be the same length.

3v = v + 60

2v = 60

v = 30

Hope this helps!

Answer:

Step-by-step explanation:

55 +80 + ∠C = 180   {Angle  sum property}

135 + ∠C = 180

∠C = 180 - 135

∠C = 45

The side opposite to the biggest angle is the longest side

Biggest angle is ∠B. So the longest side is AC

Smallest angle is ∠C. So, the shortest side is BA

Answer:

A

Step-by-step explanation:

The correct inequality that represents the given situation is: A.) n - 87 < 320.

The situation states that Samuel played a video game and gained some points. Let's represent the points he gained as 'n'.

Next, it is mentioned that he lost 87 points. To represent this in the inequality, we subtract 87 from the initial points gained, which gives us 'n - 87'.

Finally, the situation specifies that Samuel finished with less than 320 points. This means that the final score, represented by 'n - 87', is less than 320.

This inequality represents that the initial points gained by Samuel (n) minus 87 points is less than 320 points, indicating that his final score is less than 320 points after losing 87 points.

Learn more about equations

https://brainly.com/question/2972832

#SPJ2

Answer:

y=12

Step-by-step explanation:

14          10

----- =  --------

y+9         15

Using cross products

14*15 = 10 (y+9)

210 = 10(y+9)

Divide by 10

210/10 = 10(y+9)/10

21 = y+9

Subtract 9

21-9 = y

12 =y

Answer:

Step-by-step explanation:

If we have 5 terms to the right of the -1 outside the box thing, that means that our original polynomial is a 4th degree (the degree is one lower than the number of terms in order to allow for the constant which has no variable). Set up the synthetic division as shown in the problem. The rule is to bring down the first term, the 1 to the right of the box, multiply it by the number outside, -1, and put that product up under the next number in line inside the box. Like this:

-1 |   1    7     15     9     7

          -1                        

      1  

Now add straight down, multiply the sum by -1 and put that product up under the next term in line, the 15:

-1 |   1     7     15     9     7

            -1     -6              

      1     6  

Then add straight down again, multiply the sum by -1 and put that product up under the next term in line, the 9:

-1 |     1     7     15     9     7

              -1     -6    -9      

        1     6     9

Then do the same thing. Add straight down, multiply the sum by -1 and put the product up under the next term in line, the 7:

-1 |     1     7     15     9     7

              -1     -6    -9     0

        1     6      9     0     7

This is the final result. The last number, the 7 is the remainder, but the rest of it makes up what we call the depressed polynomial and is a polynomial that is one degree less than the degree we started with. So this depressed polynomial is a 3rd degree. The numbers are the coefficients on the x terms:

[tex]1x^3+6x^2+9x+0R7[/tex] or more simply stated:

[tex]x^3+6x^2+9xR7[/tex]

Answer: -21/2 or -10.5

Step-by-step explanation:

Let x be the number that is going to be subtracted from the rational number

3 × (-8/3) - x = 5/2 ⇒ Write the equation

-8 - x = 5/2 ⇒ Do multiplication

-8 - x + x = 5/2 +x ⇒ Add x on both sides

-8 = 5/2 + x ⇒ Simplify

-8 - 5/2 = 5/2 + x - 5/2 ⇒ Subtract 5/2 on both sides

x = -21/2 = -10.5 ⇒ Simplify

Hope this helps!! :)

Please let me know if you have any questions

Answer:

There are three laws of indices.

Answer:

Step-by-step explanation:

[tex]\frac{480+24(x-40)}{x}[/tex]

The numerator of the rational expression the money he earned for 'x' hours

The rate at which William is paid for each hour in excess of 40 hours 24.

x = 50 hours = (40 + 10 ) hours

The amount paid for excess 10 hours = 24 *10 = 240

Total amount earned for the week = 480 + 240 = 720

Answer:

64 volume of the cuboid

formula used is lbh multiplies together.

Mark me as brainliest

Hope it helps:)

Step-by-step explanation:

Answer:           The answer is all real numbers

Step-by-step explanation:

This is the answer because the line goes on infinitely and will pass through all of the numbers (negative, positive). Its not y [tex]\geq \\[/tex] 0 because it passes through 0 when the line goes through x (side to side) axis.

Answer:

Step-by-step explanation:

First of all, something is wrong with either the wording in the problem or the equation that you wrote; if the upward velocity is 18, we should see 18t in the equation, not 10t. I solved using 10t.

To find the max height of the ball and the time it took to get there, we need to complete the square on this quadratic and solve for the vertex. That will give us both of those answers in one!

To complete the square, set the quadratic equal to 0 and then move over the constant, like this:

[tex]-5t^2+10t=-35[/tex]  The rule is that we have to have a 1 as the leading coefficient, and right now it's a -5, so we factor that out, leaving us with:

[tex]-5(t^2-2t)=-35[/tex] and now we are ready to begin the process to complete the square.

The rule is: take half the linear term, square it, and add it to both sides. Our linear term is a -2 (from the -2t); half of -2 is -1, and -1 squared is 1. We add in a one to both sides. BUT when we put the 1 into the set of parenthesis on the left, we didn't just add in a 1, we have that -5 out front that is a multiplier. That means that we actually added in a -5 after it's all said and done.

[tex]-5(t^2-2t+1)=-35-5[/tex] and we'll clean that up a bit. The right side is easy, that's a -40. The left side...not so much.

The reason we complete the square is to put this quadratic into vertex form. Completing the square creates a perfect square binomial on the left, which for us is, along with the simplification on the right:

[tex]-5(t-1)^2=-40[/tex]

Lastly, we move the -40 back over by adding and setting the quadratic back to equal y:

[tex]-5(t-1)^2+40=y[/tex] and we see that the vertex is (1, 40). That translates to a height of 40 meters at 1 second after launch. That's the vertex which, by definition, is the max or min of the parabola. Because our parabola is negative, the vertex for us is a max.

To find out how long it takes the ball to hit the ground, set the quadratic equal to 0 and factor however it is you are currently doing this in class. You can continue to factor from the vertex form we have the equation in if you'd like. Let's do that, since we are already most of the way there. Begin here:

[tex]-5(t-1)^2=-40[/tex] and divide both sides by -5 to get

[tex](t-1)^2=8[/tex] and take the square root of both sides to "undo" that squaring on the left:

t - 1 = ±√8. Now add 1 to both sides to isolate the t:

t = 1 ± √8. In decimal form:

t = 1 + √8 is 3.828 seconds and

t = 1 - √8 is -1.828 seconds.

Since we all know that time will NEVER be a negative value, the time it takes the ball to hit the ground is 3.828 seconds.

Answer:

Step-by-step explanation:

starting point: 140 feet below sea level.=-140

she then decends= 7(4.5)=31.5

-140-31.5=-171.5

finally she ascends 112.2 feet

-171.5+112.2=-59.3 feet or 59.3 feet below sea level

Answer:

It's B

Step-by-step explanation: