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3 years ago

Kim's cookie recipe calls for 1/3 of a cup of sugar. How much sugar would Kim use to make 1/4 of a batch of cookies?

Mathematics

1 answer:

bearhunter [10]3 years ago

3 0

For a quarter of the batch of cookies it requires a quarter of a third
$\frac{1}{3} \times \frac{1}{4} = \frac{1}{12}$

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Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. Graph shows 2

yawa3891 [41]

An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.

The equation for f(x) from the given graph can be written as,

$f(x)=e^{(\ln2)x}-2$

Now, similarly from the graph the function of g(x) can be written as,

$g(x)=-3e^{(\ln2)x}+6$

Further, the equation of function g(x) in terms of f(x) can be written as,

g(x) = -3[f(x)]

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2 years ago

Consider the set T = {1, 2, 3, 4, 5, 6}. Let R = {(a, b) | a divides b} be a relation on the set T. Identify the missing ordered

serg [7]

Answer: The missing ordered pairs are (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

Step-by-step explanation: We are given the following set :

T = {1, 2, 3, 4, 5, 6}.

And, R = {(a, b) | a divides b} be a relation on the set T.

We are to identify the missing pairs from the following list of all ordered pairs in the given relation R on the set T :

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), _____, (4, 4), (5, 5), and (6, 6).}.

Since R contains the ordered pairs (a, b) such that a divides b, so all the ordered pairs in R are

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (5, 5), and (6, 6).

Thus, the missing ordered pairs are (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

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3 years ago

A projectile is launched from the ground at an angle of theta above the horizontal with an initial speed of v in ft/s. The rang

VARVARA [1.3K]

Answer:

$\theta=24.4^\circ$

Step-by-step explanation:

The formula you wrote has the fraction the other way around. You can find that the range of a projectile is in reality approximated by the equation $x=\frac{v^2}{g} sin(2\theta)=\frac{v^2}{32ft/s^2} sin(2\theta)$ , where we will use ft for distances.

From the given equation we have then $\frac{x32ft/s^2}{v^2} =sin(2\theta)$ , which means $\theta=\frac{Arcsin(\frac{x32ft/s^2}{v^2})}{2}$ since the arcsin is the inverse function of the sin.

Since we have x = 170 ft and v = 85 ft/s, we can substitute these values from the equation written, and we will have $\theta=\frac{Arcsin(\frac{(170ft)(32ft/s^2)}{(85ft/s)^2})}{2}$ , and from now on we have just to use a calculator, obtaining $\theta=\frac{Arcsin(0.75294117647)}{2}=\frac{48.84579804^\circ}{2}=24.4^\circ$

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3 years ago

On a bike trip across the United States Rodney notes that he covers about 190 miles every 4 days. If he continues at this rate u

krek1111 [17]

4-190 190 divided by 4 is 47.5, so Rodney travels 47.5 miles per day. if Rodney travel 190 miles in 4 days, at 47.5 miles to 190 to find out how far he would travel in 5 days. 190+47.5= 237.5 ---------------------------- day #4-190 miles day #5-237.5 miles day #6-285 miles

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3 years ago

Inequalities! 20 Points!

il63 [147K]

he needs at least 5800

5800/725

so he must sell at least 8 cars

There are only 45 cars on the lot, so that is the max he can sell

Choice C

8<=x<=45

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4 years ago

Read 2 more answers