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3 years ago

-2(t + 4 2/3) = 9 1/2

1 answer:

4 0

So you times the -2 with the bits inside the bracket so:
-2 x t= -2t
-2 x 4 2/3 = -9 1/3
So then that makes:
-2t - 9 1/3= 9 1/2
So to get what t equals you have to get it by itself so you add the -9 1/3 to both sides of the equation to get:
-2t=18 5/6
So then you divide by -2 on both sides to get
t=-9 5/12
Which is the answer. :-D

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Find the error in the following sample of work, if one exists.

ch4aika [34]

Answer:

D. There is no mistake.

Step-by-step explanation:

The following lines show the process of factorization by using common factor.

Line 1:

In line 1, the equation is given and is completely fine.

$y^{2}+8xy+2y+16x=0$

The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.

Line 2:

In line 2, the terms are grouped, from which we can factor out common terms.

$(y^{2}+8xy)+(2y+16x)=0$

This is also fine.

Line 3:

In line 3, the common term y is taken out from group 1 and 2 from other group.

$y(y+8x)+2(y+8x)=0$

which is exactly what is given in line 3.

Line 4:

In line 4 the common factors can be seen and easily split into 2 factors.

$(y+2)(y+8x)=0$

which is exactly what is given in line 4.

Options:

A. The grouping is correct in line 2. So this option is does not hold.

B. Common factor was factored correctly from group 1. So this option does not hold.

C. Common factor was factored correctly from group 2. So this option does not hold.

D. There is no mistake. This is correct. Thus we choose this option as correct answer.

3 0

3 years ago

2. The equation h(t)=−16t2+19t+110 gives the height of a rock, in feet, t seconds after it is thrown from a cliff.

Paul [167]

For this case we have an equation of the form:
h (t) = - (1/2) * a * t ^ 2 + vo * t + h0
Where,
vo: initial speed
a: acceleration:
h0: initial height.
We have the following equation:
h (t) = - 16t2 + 19t + 110
Therefore, the initial velocity is:
vo = 19 feet / s
Answer:
The initial velocity when the rock is thrown:
vo = 19 feet / s

8 0

2 years ago

Simplify 3 square root of 512

Karolina [17]

Answer:

Step-by-step explanation:

not sure if this is what ur looking for sorry

7 0

2 years ago

Read 2 more answers

Evaluate the expression w 2 - v + 1 for w = -2 and v = -8.

Aleksandr [31]

Answer:

Is the w2, w(2) or

${w}^{2}$

If it's w(2) the answer is -4--8+1=-4+8+1=5

if it's w^2 then the answer would be 4--8+1=4+8+1=13

4 0

2 years ago

Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, co

ruslelena [56]

Answer:

Quantitative.
Discrete.
Interval Scale.

Step-by-step explanation:

The IQ scores are measured numerically. This makes it quantitative data. Quantitative data provide numerical measures which can be used to perform arithmetric operations such as addition, subtraction, multiplication and division. Results from these kind of data can be used to provide meaningful and explanatory results to certain phenomena.
IQ scores are discrete because they are always expressed as integers. that is in whole numbers and not in fractions e.g 100, 120, 60.
The level of measurement is on an interval scale because the difference between values have meanings. Larger values mean higher IQ. for example, the difference in IQ numbers between two people for represents something real.

6 0

3 years ago