Answer:
294 square units
Step-by-step explanation:
35^2-21^2=a^2
a^2=784
square root 784=28
21*28/2=294
Answer=294
Answer:
Around 0.73% of adults in the USA have stage 2 high blood pressure
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 121 and standard deviation of 16.
This means that
Around what percentage of adults in the USA have stage 2 high blood pressure
The proportion is 1 subtracted by the p-value of Z when X = 160. So
has a p-value of 0.9927.
1 - 0.9927 = 0.0073
0.0073*100% = 0.73%
Around 0.73% of adults in the USA have stage 2 high blood pressure
Answer:
Step-by-step explanation:
<h3><u>Given functions:</u></h3>
- f(x) = 4x² - 6
- g(x) = x² - 4x - 8
<h3><u>Solution:</u></h3>
Subtract both functions
(f-g)(x) = 4x² - 6 - (x² - 4x - 8)
(f-g)(x) = 4x² - 6 - x² + 4x - 8
Combine like terms
(f-g)(x) = 4x² - x² + 4x - 6 - 8
(f-g)(x) = 3x² + 4x - 14
Graph is attached below.
Step-by-step explanation:
We have to graph function y = 2x,
From equation, we can see a linear relationship between the values of x and y. This equation shows that the value of y is double than the value of x.
For example,
<u>x = 0</u>
y = 2(0)
y = 0
So, point would be (0,0)
<u>x = 1</u>
y = 2(1)
y = 2
So, point would be (1,2)
<u>x = 3</u>
y = 2(3)
y = 6
So, point would be (3,6)
<u>x = -1</u>
y = 2(-1)
y = -2
So, point would be (-1,-2)
<u>x = -3</u>
y = 2(-3)
y = -6
So, point would be (-3,-6)
By matching these points, a linear graph can easily be drawn. I have also attached the graph pic below.
Keywords: function, graph
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Answer:
1.5seconds
Step-by-step explanation:
When the ball hits the ground, the height is equal to zero. So find t when H=0:
H=16t²+8t+80
0=16t²+8t+80
0=2t²+t+10
0=(2t-3)(t+2)
So (2t-3)=0, or (t+2)=0
So t=1.5 or t=-2. Time can't be negative though, so we take our answer as 1.5seconds