SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
Step 3:
Now, from the solution above, we can see that the value of the integrand CONVERGES to a number that is approximately 0.41634
Answer:
D. (2x + 35)° = 47°
Step-by-step explanation:
If it is true the angle UOW and angle XOV are vertical angles, they must be congruent and congruent angles have the same angles. This means that in order for UOW and XOV to be vertical angles they must share the same angle.
Give you: (2x + 35)° = 47°
<em>The </em><em>vertex of the function is at (5, 10)</em>
<em>For the function, th</em><em>e domain exists </em><em>on all </em><em>real numbers</em><em> while the range exist for the value</em><em> f(x) ≥ 10</em>
<h3>Vertex, domain and range of a function</h3>
The vertex of a quadratic or linear function is in the form
y = a(x – h)^2 + k
where;
(h, k) is the vertex of the function
Given the function expressed as;
f(x) = |x-5| + 10
On comparison, you can see that h = 5 and k =10, hence the vertex of the function is at (5, 10)
<u>For the domain and range</u>
Domain are the dependent variable for which a function exist while the range is the independent variable for which a function exist.
For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10
Learn more on vertex, domain and range here: brainly.com/question/544653
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Answer:
x= 10/3
Step-by-step explanation:
1/250 : 2 = 1/150 : x
it's a simple problem of ratio and proportion
1/250 : 2 = 1/150 : x
⇒
⇒
x= 10/3
Answer:
(a) 60 cups
(b) 5 cookies, 8 muffins and 4 cupcakes in each container
Step-by-step explanation:
Given
Let:
So:
Solving (a): The greatest number of containers to be used;
To do this, we first reduce the ratio to the lowest
C : M : K = 300 : 480 : 240
Divide by 60
<em>The ratio cannot be further reduced. Hence, he will use 60 cups</em>
Solving (b): The number in each cup
In (a), we have:
This means that;
<em />
<em> --- Cookies</em>
<em />
<em> --- Muffins</em>
<em />
<em> -- - Cupcakes</em>
