<span>ratio of the surface area of the sphere to the surface area of the cube
=
</span>4nr^2 / <span>24r^2 = n/6
answer
</span><span>A.
n/6</span>
Answer:
d. 192
Step-by-step explanation:
OK so if 70% of students in 8th grade have siblings and 112 8th graders have siblings, then:
0.7(total 8th graders) = 112
total 8th graders = 112/0.7
total 8th graders = 160
And since the number of 8th graders is 5/6 the size of the 7th grade class:
5/6(7th grade class) = 160
5(7th grade class) = 960
7th grade class = 192.
The correct answer is D) 192.
hope this helps can i be brainliest please
The equation of the transformation of the exponential function <em>y</em> = 2ˣ in the form <em>y</em> = A·2ˣ + k, obtained from the simultaneous found using the points on the graph is <em>y</em> = (-2)·2ˣ + 3
<h3>What is an exponential equation?</h3>
An exponential equation is an equation that has exponents that consists of variables.
The given equation is <em>y</em> = 2ˣ
The equation for the transformation is; <em>y</em> = A·2ˣ + k
The points on the graphs are;
(0, 1), (1, -1) and (2, -5)
Plugging the <em>x </em>and <em>y</em>-values to find the value <em>A</em> and <em>k</em> gives the following simultaneous equations;
When <em>x</em> = 0, <em>y</em> = 1, therefore;
1 = A·2⁰ + k = A + k
1 = A + k...(1)
When <em>x</em> = 1, <em>y</em> = -1, which gives;
-1 = A·2¹ + k
-1 = 2·A + k...(2)
Subtracting equation (1) from equation (2) gives;
-1 - 1 = 2·A - A + k - k
-2 = A
1 = A + k, therefore;
1 = -2 + k
k = 2 + 1 = 3
k = 3
Which gives;
y = -2·2ˣ + 3 = 3 - 2·2ˣ
Learn more about the solutions to simultaneous equations here:
brainly.com/question/26310043
#SPJ1
Answer:
The answer is 15
Step-by-step explanation:
its 15 because unit rate is like 60 min=1 hour
and in this situation, the unit rate would be 15 because for every hour he earns 15 dollars
The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are functions have a vertex with a x-value of 0.
<h3>What is a function?</h3>
A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.
The standard absolute value function is found as;

Where,
(h, k) denotes to the vertex
h is the vertex of the x-coordinate
k is the y-coordinate of the vertex
By comparing the standard equation with the given equation in the options we will get the functions to have a vertex with an x-value of 0;

The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are functions have a vertex with a x-value of 0.
Hence options 1,2 and 4 are functions that have a vertex with an x-value of 0.
To learn more about the function refer to the link;
brainly.com/question/12431044