Answer:
15 3/4t^2 + 5 1/4
Explanation:
h(t)=-16t^2+400
We can add 400 then - 64 and show as 8^2
= h(t)=-16t^2+400 - 8^2
But we also need to change 16t^2;
We divide 64 into 16 = 16/64 =0.25
and show 16t^2 changes by 0.25 = 1/4
15 3/4t^2 + 400-64
Can now look like
15 3/4t^2 + 5 1/4
As 5 1/4 = 64 x 5 1/4 = 336
Answer:
x = 14
Step-by-step explanation:
∠ DCA and ∠ BCF are adjacent angles and sum to 180° , then
∠ DCA = 180° - 124° = 56°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
6x is an exterior angle , then
6x = 2x + 56 ( subtract 2x from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
The ordered pair that is the possible solution for the equation is (-6,0) (0,-4).
<h3>What is the Slope-intercept form of a linear equation?</h3>
The slope-intercept form of a linear equation takes the form y= mx + b.
Here:
The function f(x) = y = 

The slope (m) = -2/3
The x-intercept is the value of x for which y = 0
The y-intercept is the value of y for which x = 0
Learn more about the slope-intercept form of a linear equation here:
brainly.com/question/1884491
#SPJ1
Answer:
15.9% of babies are born with birth weight under 6.3 pounds.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 6.8 pounds
Standard Deviation, σ = 0.5
We are given that the distribution of birth weights is a bell shaped distribution that is a normal distribution.
Formula:
P(birth weight under 6.3 pounds)
P(x < 6.3)
Calculation the value from standard normal z table, we have,

15.9% of babies are born with birth weight under 6.3 pounds.
Answer:

Step-by-step explanation:
This is a right triangle (the small square in the corner signifies a 90 degree angle), so Pythagorean Theorem can be used.

where a and b are the legs of the triangle and c is the hypotenuse. In this triangle, 17 and x are the legs because they form the right angle. 29 in the hypotenuse because it is opposite the right angle.


Solve the exponents.
- 17²=17*17=289
- 29²= 29*29=841

289 is being added to x and the inverse is subtraction. Subtract 289 from both sides to isolate the variable.

x is being squared and the inverse is a square root. Take the square root of both sides of the equation.


Let's round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 9.

x is approximately 23.49 centimeters.