Ken:
Ken's Age = 18
Elizabeth:
Elizabeth's Age = 2/3 x Ken's age
Elizabeth's Age = 2/3 x 18
Elizabeth's Age = 12
Clint:
-Note: At Clint's <em>next</em> birthday. So we need to subtract 1 from the age.
Clint's Age = (2 x Elizabeth's Age) - 1
Clint's Age = (2 x 12) - 1
Clint's Age = 24 - 1
Clint's Age = 23 right now
Hope this helps!! :)
<span> by taking integral we get
integral sec(x) (tan(x)+sec(x)) dx
applying integral we get
sec(x) (tan(x)+sec(x)) gives sec^2(x)+tan(x) sec(x)
= integral (sec^2(x)+tan(x) sec(x)) dx
Integrate the sum term by term
= integral sec^2(x) dx+ integral tan(x) sec(x) dx
For the integrand tan(x) sec(x), now we will use substitution
substitute u = sec(x) and du = tan(x) sec(x) dx
= integral 1 du+ integral sec^2(x) dx
The integral of sec^2(x) is tan(x)
= integral 1 du+tan(x)
The integral of 1 is u
= u+tan(x)+constant
Substitute the value of u which is equal to
= sec(x):
so our conclusion is
:tan(x)+sec(x)+constant
hope this helps</span>
<span><span>y=−<span>x2</span>+2x−7</span><span>y=-<span>x2</span>+2x-7</span></span>Complete the square on the right side of the equation.Tap for more steps...<span><span>−<span><span>(x−1)</span>2</span>−6</span><span>-<span><span>(x-1)</span>2</span>-6</span></span>Reorder the right side of the equation to match the vertex form of a parabola.<span><span>y=−<span><span>(x−1)</span>2</span>−6</span><span>y=-<span><span>(x-1)</span>2</span>-6</span></span>Use the vertex form, <span><span>y=a<span><span>(x−h)</span>2</span>+k</span><span>y=a<span><span>(x-h)</span>2</span>+k</span></span>, to determine the values of <span>aa</span>, <span>hh</span>, and <span>kk</span>.<span><span>a=−1</span><span>a=-1</span></span><span><span>h=1</span><span>h=1</span></span><span><span>k=−6</span><span>k=-6</span></span>Find the vertex <span><span>(h,k)</span><span>(h,k)</span></span>.<span><span>(1,−6)</span><span>(1,-6)</span></span>
Answer:
x=
Step-by-step explanation:
Answer:
The number of ounce of topping that can be get is 4 .
Step-by-step explanation:
Given as :
The cost of a sundae = $3
The cost for each extra ounce of toppings = $0.50
Let The number of ounce of topping = n
The total spending cost on sundae with n extra topping = $5
Now, According to question
The total spending cost on sundae with n extra topping = The cost of a sundae + The number of ounce of topping × The cost for each extra ounce of toppings
Or , $3 + n × $0.50 = $5
or, 3 + 0.50 n = 5
or , 0.50 n = 5 - 3
or, 0.50 n = 2
∴ n = 
I.e n = 4
So, The number of ounce of topping = n = 4
Hence The number of ounce of topping that can be get is 4 . Answer
