Nathaniel kicks a football. The graph below shows the height of the football h
in meters after t seconds. After how many seconds does the football hit the
ground?

It means that the two vectors are perpendicular or orthogonal

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Answer:

If Lauren were to run 42 practice trials of the 400 meter dash, the number of those trials would be between 83 and 84 seconds is 1 approximately.

Given that the event is normally distributed.

The mean of the population is = µ = 88 seconds

The standard deviation of the population is = σ = 2 seconds

When the time to finish is 83 seconds then z score will be

x = 83, so

z = (x - µ)/σ = (83 - 88)/2 = -5/2 = -2.5

When the time to finish is 84 seconds then the z score will be

x = 84

z = (x - µ)/σ = (84 - 88)/2 = -4/2 = -2

So the probability that trial would be between 83 and 84 is given by

= P(83 ≤ x ≤ 84)

= P(-2.5 ≤ z ≤ -2)

= P (-2) - P (-2.5)

= 0.42074 - 0.40129

= 0.01945

So the 42 such events the possible number of events would be between 83 and 84 seconds is = 42*0.01945 = 0.8169 = 1 (rounding off to nearest whole number).

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Answer:

3:20

Step-by-step explanation:

Hipe this helps x

Ugh its not letting me senddd

Answer:

First one, Second one, and fourth one

Step-by-step explanation:

The correct integration is \(=-\frac{3x^5}{5}-2x^3+8x+C\)

Given is an integration. ∫-3x⁴-6x²+8 dx, we need to simply it,

So,

∫-3x⁴-6x²+8 dx

Applying the chain rule,

\(\int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\)

\(\int \:3x^4dx=\frac{3x^5}{5}\),

\(\int \:6x^2dx=2x^3\),

\(\int \:6x^2dx=2x^3\)

So,

\(=-\frac{3x^5}{5}-2x^3+8x\)

Adding the constant,

\(=-\frac{3x^5}{5}-2x^3+8x+C\)

Hence the integration is \(=-\frac{3x^5}{5}-2x^3+8x+C\)

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Answer:

5780

Let’s say her daughter is the 9 of the ratio. To find one part, you must divide 3060 by nine which gives you 340. That is one part. You can then multiply that by 8 to find the amount of money her son gets, which is 2720. Then you just add 3060+2720 which gives you 5780.

Answer:

for the graph all you do is graph the points

the slope is 2

y-intercept is 8

equation- y=2x+8

and 18 dollars for 5 pizzas

Step-by-step explanation:

Answer:

The slope would be 5/2.

Step-by-step explanation:

Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.

Answer:

\(k=-8\)

Step-by-step explanation:

We have the two points: (2, -3) and (k, 7).

And we want to find the value of k such that the slope between these two points is -1.

So, we can use the slope formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Let (2, -3) be (x₁, y₁) and let (k, 7) be (x₂, y₂). Let's also substitute the slope m for -1. This gives us:

\(-1=\frac{7-(-3)}{k-2}\)

So, let's solve for k. Add in the numerator:

\(-1=\frac{10}{k-2}\)

Notice that we can rewrite the left side as:

\(\frac{-1}{1}=\frac{10}{k-2}\)

Now, we can cross-multiply:

\(-(k-2)=10\)

Divide both sides by -1. This removes the negative on the left:

\(k-2=-10\)

Finally, add 2 to both sides. So, the value of k is:

\(k=-8\)

And we're done!

Answer:

6 cans

Step-by-step explanation:

divide 30 by 5

Answer:  A

Step-by-step explanation:

Benny's Pizza

13.60 + 2.50(3)

13.60 + 7.50

21.10

Ricco's Pizza

14.60 + 2(3)

14.60 + 6

21.60

50x - 38 = 55x - 98

98-38=55x-50x

60x = 5x

x = 60/5

x = 12

The equation is written as 3(x+12)²+20.The formula for ax² + bx + c is (Ax + B)² + C.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

3x^2+12x+20

The equation is compared the equation with,ax²+bx+c

After comparing the equation we get;

a=3

b=12

c=20

The equation is written in the form as;

⇒a(x+b)^2+c

⇒3(x+12)²+20

The formula for ax² + bx + c is (Ax + B)² + C.

Hence the equation is written as 3(x+12)²+20.

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The volume of the solid is π/3.

The regions bounded by the curve x = y - y^3 in the first quadrant and the y-axis are to be revolved around the x-axis and the line y = 1, respectively.

The solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the x-axis are obtained by using disk method.

Therefore, the volume of the solid is:

V = ∫[a, b] π(R^2 - r^2)dx Where,R = radius of outer curve = yandr = radius of inner curve = 0a = 0andb = 1∫[a, b] π(R^2 - r^2)dx= π∫[0, 1] (y)^2 - (0)^2 dy= π∫[0, 1] y^2 dy= π [y³/3] [0, 1]= π/3

The volume of the solid is π/3.The solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the line y = 1 can be obtained by using the washer method.

Therefore, the volume of the solid is:

V = ∫[a, b] π(R^2 - r^2)dx Where,R = radius of outer curve = y - 1andr = radius of inner curve = 0a = 0andb = 1∫[a, b] π(R^2 - r^2)dx= π∫[0, 1] (y - 1)^2 - (0)^2 dy= π∫[0, 1] y^2 - 2y + 1 dy= π [y³/3 - y² + y] [0, 1]= π/3

The volume of the solid is π/3.

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Answer:

Step-by-step explanation:

660

Answer:

660 pounds

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rational number between 9.5 and 9.7:

Irrational number between 9.5 and 9.7

Let's find 9.5^2, 9.6^2 and 9.7^2:

One of the numbers could be √91, it is not a perfect square.

Approximate value:

With a greater mean value , we can conclude that the sixth period class test was better than the second period .

Second period class:

Mean = (55+70+6*75+6*80+2*85+3*90+95)/20

Mean = 1590/20 = 79.5

Sixth period class:

Mean = (65+3*75+5*80+6*85+3*90+2*95)/20

Mean = 1660/20 = 83

Therefore, From the mean values , we can infer that students performed better in test for the sixth period class than the second .

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Answer:

ok

Step-by-step explanation:

Answer:

The correct option is;

Increasing one fifth unit/sec

Step-by-step explanation:

The equation that gives the curve of the particle of the particle is y = 5·x² - 1

The rate of decrease of the y value dy/dt = 2 units per second

We have;

dy/dx = dy/dt × dt/dx

dy/dx = 10·x

dy/dt = 2 units/sec

dt/dx = (dy/dx)/(dy/dt)

dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)

When x = 1

dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec

dx/dt = 1/5 unit/sec

Therefore, x is increasing one fifth unit/sec.

two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the length should equal the ratio of the width.

thus,

Therefore x=20.

Answer:

y = 8/3x - 4

Step-by-step explanation:

Slope-intercept form is represented by [ y = mx + b ] where m = slope and b = y-intercept.

We are given the slope of 8/3 and a y-intercept of -4. So, we can put this information into the formula shown above.

y = 8/3x - 4

Best of Luck!

Answer:

15 feet

Step-by-step explanation:

\(a^{2} +b^{2} =c^{2} \\a^{2} +(20)^{2} =(25)^{2} \\a^{2} +400=625\\a^{2} =225\\a=15\)

Answer:

15 feet

Step-by-step explanation:

We can imagine the structure as a right triangle: the right angle is formed where the ground meets the wall.

Based on the question:

We can solve using the Pythagorean theorem: a² + b² = c²

Solve:

The distance from the base of the ladder to the wall is 15 feet.

-Chetan K

Answer:

8! or 456 ways

Step-by-step explanation:

8 x 7 x 6 x 5 x 4 x 3 x 2 = 456

Answer:

107.2

Step-by-step explanation:

to get mean it is total sum of values divided by the amount of the value

88+124+234+90=536/5=107.2

Answer:

134

Step-by-step explanation:

To find mean, you add all of the values together and divide by thr total number of values.

88+124+234+90=536.

536/4=134.

Answer:

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The Divisor is 1.5 , the Dividend is 4.5 and the quotient is 3.

As per the question we need to create a division problem where both the divisor and the dividend are decimals and the quotient must be a whole number greater than 1.

So, Let us suppose divisor as 1.5 . Now the dividend must be a decimal number which is greater than 1.5, let's say 5.5.

Now on dividing 5.5 by 1.5,

Divisor = 1.5

Dividend = 4.5

(Dividend/Divisor) = ( 4.5 / 1.5 ) = 3

Quotient = 3

On dividing dividend by divisor the quotient is 3 which is a whole number greater than 1.

So, we can conclude that the Divisor is 1.5 , the Dividend is 4.5 and the quotient is 3.

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