Question Down Below!
Answer:
V=\frac{s}{t},where\ V-speed,\ s-distance\ ,t-time\\\\ v=\frac{\frac{3}{8}}{\frac{3}{4}}=\frac{3}{8}*\frac{4}{3}=\frac{4}{8}=\\\\0,5\frac{feet}{minute}\\\\ Speed\ is\ equal\ to\ 0,5\frac{feet}{minute}.
Step-by-step explanation:
(1 point)
h = 6w + 4
h = 4w + 6
h = 4w
h = 4w – 6
Answer:
see attached diagram
Step-by-step explanation:
A dilation with a scale factor of centered at the origin has a rule:
Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates
The product of 70 and 10 to the power of 4, which can be solved using multiplication in scientific notation, is 7.0 × 105, or 700,000 in standard notation.
The question asks for the product of 70 times 10 to the power of 4. To solve this, we use the rule of multiplication in scientific notation wherein you multiply the numbers and then add the exponents. Hence, the equation is (7.0 × 101) × (1.0 × 104). In this equation, we multiply 7.0 and 1.0 to get 7.0, then add the exponents 1 and 4 to get 5. The answer is therefore 7.0 × 105, or 700,000 when written in standard notation.
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The x represents time in seconds while y represents the depth of the submarine and the equation with constraint will be y = 10.5x + 50.
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
As per the given,
The slope m = rate of descending = 10.5 ft/s
The y-intercept c = initial depth of submarine = 50 ft
Thus, y = mx + c converts as,
y = 10.5x + 50
Hence "The x represents time in seconds while y represents the depth of the submarine and the equation with constraint will be y = 10.5x + 50".
For more about the equation,
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Answer:
The constraints on the x-values or independent variable – time are:
0 s < time < 5 s
The constraints on the y-values or dependent variable – Depth are:
50 ft < Depth (below sea level) < 102.5 ft
Step-by-step explanation:
Boundary restrictions that are placed upon the variables in an equation are called the Constraints.
The x-values are the independent variables in an equation and in our case it is time.
The y-values are the dependent variables in an equation and in our case it is depth (below the sea level).
The rate of descend provided in the question is constant and is equal to 10.5 ft/s.
We can write our equation of Depth as follows:
Depth (below sea level) = 50 + 10.5*(time)
The constraints on the x-values or independent variable – time are:
0 s < time < 5 s
We can put the boundary values of x variable constraints in the equation of Depth to find the constraint on y-values or dependent variable.
Depth (below sea level) = 50 + 10.5*(time)
Depth (below sea level) = 50 + 10.5*(0), at time 0 s
Depth (below sea level) = 50 ft
Depth (below sea level) = 50 + 10.5*(5), at time 5 s
Depth (below sea level) = 102.5 ft
So the constraints on the y-values or dependent variable – Depth are:
50 ft < Depth (below sea level) < 102.5 ft