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3 years ago

Joe says 4.02 x 0.3 is bout 12. Does this make sense? Explain your thinking

2 answers:

7 0

Think: 4.02 is about 4 and 0.3 is about 1/3. 4 times 1/3 is 4/3, or about 1.33. So 12 is 'way off. It's always wise to estimate what your answer should look like.

svlad2 [7]3 years ago

4 0

This does not make sense as you are multiplying 4.02 by a number less that 1, so the product will become smaller. By actual calculation, this will be 1.206. Hope this helps.

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Duffy was analyzing the trajectory made after throwing a football. his coach was able to measure that his throw reached a maximu

gregori [183]

Answer:

4.35 seconds.

Step-by-step explanation:

Let x represent the time the independent variable and y be dependent variable (height of the ball).

We are told that Duffy figured that the ball left his hand at a height of 5 feet. This means at x equals 0, y was 5 or initial height of ball is 5 feet.

We have been given that Duffy's coach measured that his throw reached a maximum height of 18 feet after 2 seconds. This means that at x equals 2 y was 18.

As point (2,18) represents maximum height of ball, so it will be vertex of parabola.

Since initial height of ball is less than maximum height, so our parabola will be downward opening and leading coefficient will be negative.

We know that vertex form of a downward opening parabola is in form: $y=-a(x-h)^2+k$

$y=-a(x-2)^2+18$

Let us find value of a using point (0,5).

$5=-a(0-2)^2+18$

$5=-a*4+18$

$5-18=-a*4+18-18$

$-13=-4a$

$\frac{-13}{-4}=\frac{-4a}{-4}$

$\frac{13}{4}=a$

Therefore, the equation $y=-(\frac{13}{4})(x-2)^2+18$ can be used to find the height of ball after x seconds.

To find the time it will take the ball to hit the ground, we will substitute y equals 0 in our equation.

$0=-(\frac{13}{4})(x-2)^2+18$

$0-18=-(\frac{13}{4})(x-2)^2+18-18$

$0-18=-(\frac{13}{4})(x-2)^2$

$-18*(\frac{4}{13})=-(x-2)^2$

$\frac{72}{13}=(x-2)^2$

Taking square root of both sides of our equation we will get,

$\sqrt{\frac{72}{13}}=x-2$

$x-2\pm 2.35339$

$x-2=2.35339\text{ (or) } x-2=2.35339$

$x-2+2=2.35339+2\text{ (or) } x-2+2=-2.35339+2$

$x=4.35339\text{ (or) } x=-0.35339$

$x\approx 4.35\text{ (or) } x\approx -0.35$

Since time can not be negative, therefore, the ball will hit the ground approximately after 4.35 seconds.

7 0

3 years ago

Can some hell me understand foil <br> for (4x-3)(x+11)

Naddik [55]

Answer:

4x² + 41x - 33

Step-by-step explanation:

F in foil stands for 'first'; take the first value in each bracket and multiply them together. So 4x × x = 4x²
O in foil stands for 'outside'; take the outermost values from each bracket and multiply them together. So 4x × 11 = 44x
I in foil stands for 'inside'; take the innermost values for each bracket and multiply them together. So -3 × x = -3x
Finally, L in foil stands for 'last'; take the last value in each bracket and multiply them together. So -3 × 11 = -33
Now, we can put this all together and simplify: 4x² + 44x - 3x - 33 → 4x² + 41x - 33.

Hope this helps!

7 0

2 years ago

What’s the product of....<br><br> (0.25)•(1.4)=

wolverine [178]

Answer:

0.35

Step-by-step explanation:

0.25 × 1.4 =

0.25×100=25

1.4 × 10 = 14

25×10=250

25×4=100

250+100=350

25×14=350

350÷1000(0.25》25, 1.4》14)

0.35

4 0

3 years ago

What additional information would allow you to prove the quadrilateral is a parallelogram?

slavikrds [6]

The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

<h3>How to prove a Parallelogram?</h3>

The six basic properties of parallelograms are primarily;

Both pairs of opposite sides are parallel

Both pairs of opposite sides are congruent

Both pairs of opposite angles are congruent

Diagonals bisect each other

One angle is supplementary to both consecutive angles (same-side interior)

One pair of opposite sides are congruent AND parallel.

Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

Read more about Parallelogram Proof at; brainly.com/question/24056495

#SPJ1

7 0

2 years ago

What is 5 less than the product of 10 and c?

Finger [1]

Hi, the equation you typed is 10c-5

less than is subtraction and the product of two numbers is multiplying them together.

3 0

3 years ago