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Ksivusya [100]
3 years ago
6

Henry wants to pour 57.93 grams of salt into a container. So far, he has poured 28.3 grams. How much more salt should Henry pour

?
Mathematics
1 answer:
-BARSIC- [3]3 years ago
7 0

Answer:

29.63

Step-by-step explanation:

Since there is already 28.3 grams in the container, you just have to subtract 57.93 and 28.3 to get your answer because 57.93 is the total.

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Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15
RUDIKE [14]

Answer:

The vertex of this parabola, (-2, 3), can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

g(x) = a\, (x - h)^2 + k,

where a, h, and k are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at (h,\, k).

The vertex form can be expanded to obtain:

\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}.

Compare that expression with the given equation of this parabola. The constant term, the coefficient for x, and the coefficient for x^2 should all match accordingly. That is:

\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right..

The first equation implies that a is equal to 3. Hence, replace the "a\!" in the second equation with 3\! to eliminate \! a:

(-2\times 3)\, h = 12.

h = -2.

Similarly, replace the "a" and the "h" in the third equation with 3 and (-2), respectively:

3 \times (-2)^2 + k = 15.

k = 3.

Therefore, g(x) = 3\, x^2 + 12\, x + 15 would be equivalent to g(x) = 3\, (x - (-2))^2 + 3. The vertex of this parabola would thus be:

\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}.

8 0
3 years ago
CAN SOMEONE PLEASE HELP ME ANSWER THIS ​
Liula [17]

If the probability of even is 1/4 that is a quarter. A quarter of 120 is 120/4= 30 times

3 0
3 years ago
What is the mode of the data set?<br> a. 90<br> b. no mode<br> c. 85.5<br> d. 49
grandymaker [24]

Answer:

90

Step-by-step explanation:

5 0
3 years ago
Which of the following is not affected by the outliers in the data shown
nexus9112 [7]
We don’t see nothing or no image
7 0
3 years ago
Find the cosine of both angle A and angle B.
Svetach [21]
We know that

cos A=adjacent side angle A/hypotenuse
adjacent side angle A=24 units
hypotenuse=26 units

cos A=24/26-----> 12/13

cos B=adjacent side angle B/hypotenuse
adjacent side angle B=10 units
hypotenuse=26 units

cos B=10/26------> 5/13

the answers are
cos A=12/13
cos B=5/13

cot A=adjacent side angle A/opposite side angle A
adjacent side angle A=24 units
opposite side angle A=10 units
cot A=24/10------> cot A=12/5

cot B=adjacent side angle B/opposite side angle B
adjacent side angle B=10 units
opposite side angle B=24 units
cot B=10/24------> cot B=5/12


8 0
3 years ago
Read 2 more answers
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