In which quadrants is the ordinate positive?a)I and II
b)II and III
c)I and IV

Answers

Answer 1

Answer: The ordinate is the y element in an ordered pair in a Cartesian coordinate system. The quadrants in which the ordinates are positive should be at quadrants I and II. Therefore, the correct answer from the choices listed above is option A.

Answer 2

Answer:

Answer:

The Answer Is A

Step-by-step explanation:

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A sprinkler mounted on the ground sends out a jet of water at a 30o angle to the horizontal. The water leaves the nozzle at a speed of 12 m/s. (a) How far does the water travel before it hits the ground?

Which statement can be used to prove that a given parallelogram is a rectangle?

Answers

Diagonals of the parallelogram are congruent.

Answer:

Diagonals of the parallelogram are congruent.

Step-by-step explanation:

In year 1, nominal GDP for the United States was $2,250 billion and in year 2 it was $2,508 billion. The GDP deflator was 72 in year 1 and 79 in year 2. Between year 1 and year 2, real GDP rose by:

Answers

Answer:

1.6%

Step-by-step explanation:

The real GDP is given by the nominal GDP divided by the GDP deflator, the real GDP for year 1 and year 2, respectively, were:

$GDP_1=(2250)/(0.72)\nGDP_1=\$3,125\ billion\n\nGDP_2=(2,508)/(0.79)\nGDP_2=\$3,174.68\ billion$

The percentage change in GDP is:

$P=(3,174.68-3,125)/(3,125)\n P=0.016=1.6\%$

Between year 1 and year 2, real GDP rose by 1.6%.

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Answers

the equation formula of the circle is (x-h)^2 + (y-k)^2 = r^2
where (h,k) the point of the center of the circle
and (r) is the radius of the circle
so if the center of the circle = (-2,-4)
by subs. in the formula we get (x-(-2))^2 + (y-(-4))^2 = r^2
then the equation will be (x+2)^2 + (y+4)^2 = r^2
now we want to define the radius of the circle r
since point (3,8) lay on the circle so we can
then subs. in the equation to get the radius
(x+2)^2 +(y+4)^2 = r^2
(3+2)^2 +(8+4)^2 = r^2
25 + 144 = r^2
r^2 = 169
r= 13
the radius of the circle is 13
so by subs in the equation we get
(x+2)^2 + (y+4)^2 = 169
so it is the first answer in the choices

Let f(x)=8x and g(x)=8x+5+1.Which transformations are needed to transform the graph of f(x to the graph of g(x)?

Select each correct answer.

horizontal translation 1 unit left

vertical translation 1 unit down

vertical translation 5 units up

vertical translation 1 unit up

horizontal translation 5 units right

horizontal translation 5 units left

Answers

Transformation involves changing the form of a function

The transformations are:

vertical translation 1 unit up .
horizontal translation 5 units left.

The functions are given as:

$\mathbf{f(x) = 8x}$

$\mathbf{g(x) = 8(x + 5) + 1}$

Considering f(x), we have:

$\mathbf{f(x) = 8x}$

Start by translating the function 5 units left.

The rule of this translation is:

$\mathbf{f'(x) = f(x + 5)}$

So, we have:

$\mathbf{f'(x) = 8(x + 5)}$

Next, translate the function 1 unit up

The rule of this translation is:

$\mathbf{f''(x) = f'(x) + 1}$

So, we have:

$\mathbf{f''(x) = 8(x + 5) + 1}$

Rewrite as:

$\mathbf{g(x) = 8(x + 5) + 1}$

Hence, the transformations are: vertical translation 1 unit up and horizontal translation 5 units left

Answers

Answer:

45+5x $\leq$ 60

Step-by-step explanation:

A number cube is rolled, and a coin is tossed. What is the probability that a four is rolled and the coin comes up tails? A. 1over3, B.1over4, C.1over6, D.1over12

Answers

Probability of a dice rolling a 4 = 1/6
Probability of a coin coming up tails = 1/2

now we multiply the two probabilities together to find what the probability of BOTH occurring at the same time is.
1/6 × 1/2 = 1/12
Answer is D. 1 over 12

Answer:

D. 1/12 is the answer

Step-by-step explanation:

the probability of rolling a 4 is 1/6, and the probability of flipping tails is 1/2. If you multiply 1/2 and 1/6 you get 1/12.

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A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.A.The area of the rectangle is 88 square inches. B.The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle. C.The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle. D.The triangle has a base of 11 inches and a height of 8 inches. The rectangle has a width of 4 inches.

Equivalent ratios for 5:13

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