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3 years ago

What is the value of c in the equation below?

Mathematics

2 answers:

vazorg [7]3 years ago

8 0

The answer is D. 1/4 (fraction).

Aleks04 [339]3 years ago

3 0

When multiplying indices you add them to one another. So in this case, you would do -4 + 2 = -2

This means that it is 2^-2 or, in other words, a=2 and b=-2. This means that c is 2^-2

This is the same as 1/2^2 which is 1/4. So c = 1/4

You might be interested in

What is the fraction for 45 divided by 20 please show work

lianna [129]

Answer:

9/4

Step-by-step explanation:

The divide symbol is also the line that separates the numerator and the denominator, so 45÷20 can also be written as 45/20.

We can see that both 45 and 20 are divisible by 5, so we can simplify the fraction down to 9x5/4x5, and then we cancel out the 5s and are left with 9/4

4 0

4 years ago

What is the slope of the graph?

VMariaS [17]

Given:

Given that an aquarium is being filled with water.

The given graph shows the height of the water over time as the aquarium is being filled.

We need to determine the slope of the graph.

Slope:

The slope of the given graph can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Since, the slope is same for all the points on the straight line, then let us consider the points (2,5) and (4,10)

Substituting these points in the above formula, we get;

$m=\frac{10-5}{4-2}$

Simplifying, we get;

$m=\frac{5}{2}$

$m=2.5$

Thus, the slope of the given graph is 2.5

8 0

3 years ago

In the given figure, if y = 30, find (i) x (ii) z and (iii) u

pogonyaev

Answer:

u=30

x=150

z=150

y=30

Step-by-step explanation:

u=y [ being vertically opposite angle]

x+u=180[ being linear pair]

x+30=180

x=180-30

x=150

z=x[being vertically opposite angle]

z=150

y=u[ being voa]

8 0

2 years ago

Read 2 more answers

Amara currently sells televisions for company A at a salary of $17,000 plus a $100 commission for each television she sells. Com

Varvara68 [4.7K]

Answer:

150

Step-by-step explanation:

Given that;

Company A offers;

Salary= $ 17000

commission= $100 per tv set

Company B offers;

Salary= $29000

Commission = $ 20 per tv set

Let the number of tv set sold to be= x

To solve this problem, the amount obtained after selling for A option should be equal to B option

Form equations

$17000 +100 x = 29000 + 20x\\\\\\100x-20x= 29000-17000\\\\\\80x=12000\\\\\\x=12000/80 = 150$

The number of televisions sold for the options to be equal = 150

5 0

3 years ago

Read 2 more answers

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=83°, and RS = 7 feet. Find the length of SQ to the nearest tenth of a foot.

Simora [160]

Answer:

x ~0.9

Step-by-step explanation:

To solve for (x) in the given right triangle, use the trigonometric ratios, which are the following,

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}$

Each of the sides of a triangle is named with respect to the given angle. In this problem, one is given the side opposite to the given angle, and the side adjacent to it. Use the ratio of tangent (tan) to solve for the unknown side.

$tan(83)=\frac{7}{x}$

Manipulate the equation so that it is solved for (x),

$x=\frac{7}{tan(83)}$

x ~ 0.859

3 0

3 years ago