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3 years ago

Solve 2(x+1)=2x+2 A. All real numbers B. No solution C. 0 D. 1

Mathematics

2 answers:

disa [49]3 years ago

7 0

1 I believe

X+1=2
2x2=4
2+2=4
4/4=1

frez [133]3 years ago

5 0

Answer: All real numbers

Step-by-step explanation:

All real numbers

Interval Notation:

( − ∞ , ∞ )

(-∞,∞)

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4-13 Students in a management science class have just re- ceived their grades on the first test. The instructor has provided inf

inessss [21]

Answer:

a) y = 0.74x + 18.99; b) 80; c) r = 0.92, r² = 0.85; r² tells us that 85% of the variance in the dependent variable, the final average, is predictable from the independent variable, the first test score.

Step-by-step explanation:

For part a,

We first plot the data using a graphing calculator. We then run a linear regression on the data.

In the form y = ax + b, we get an a value that rounds to 0.74 and a b value that rounds to 18.99. This gives us the equation

y = 0.74x + 18.99.

For part b,

To find the final average of a student who made an 83 on the first test, we substitute 83 in place of x in our regression equation:

y = 0.74(83) + 18.99

y = 61.42 + 18.99 = 80.41

Rounded to the nearest percent, this is 80.

For part c,

The value of r is 0.92. This tells us that the line is a 92% fit for the data.

The value of r² is 0.85. This is the coefficient of determination; it tells us how much of the dependent variable can be predicted from the independent variable.

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3 years ago

Rsm question!How many liters of water must be added to 15 liters of 40 % sugar syrup to obtain 30 % sugar syrup?

Lyrx [107]

Answer:

$5\ liters$

Step-by-step explanation:

$Sugar\ in\ the\ syrup=40\%\\\\40\%\ of\ 15\ ltrs =\frac{40}{100}\times 15=6\ ltrs\\\\Now\ we\ have\ to\ obtain\ 30\%\ sugar\ syrup. Let\ total\ quantity\ of\ syrup=x\\\\30\%\ of\ x=6\\\\\frac{30}{100}\times x=6\\\\0.3\times x=6\\\\x=\frac{6}{0.3}\\\\x=20\ ltrs\\\\The\ amount\ of\ water\ to\ be\ added =20-15=5\ liters$

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3 years ago

2. Find the area of the sector. Use 3.14 for pi Round answer to one decimal place

Amanda [17]

Answer:

Step-by-step explanation:

area of sector = {Ф ( in degrees)/360}πr²

Ф = 60

π=3.14

r=10

area = (60/360) x 3.14 x 10²

= (1/6)x3.14 x100 = (1/6)x314= 314/6 = 52.33

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3 years ago

What is the y-intercept of y+4=-1/4(x+2)

Hunter-Best [27]

Get the equation in slope-intercept form.

$y + 4 = -\frac{1}{4}(x + 2)$
$y = -\frac{1}{4}(x + 2) - 4$
$y = -\frac{1}{4}x - \frac{1}{2} - 4$
$y = -\frac{1}{4}x -4.5$

The y-intercept is (0, -4.5).

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3 years ago

Read 2 more answers

A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a centimeter.

rjkz [21]

Answer:

1.9cm

Step-by-step explanation:

The density d of a material is related to its mass m and volume V as follows;

d = $\frac{m}{V}$ ------------------(i)

The material in question here is the lead ball.

Now, from known experiment;

the density of lead is 11.34g/cm³

From the question, the weight/mass of the lead ball is 326g

Substitute these values into equation (i) as follows;

11.34 = $\frac{326}{V}$

V = $\frac{326}{11.34}$

V = 28.75cm³

Now, since the ball is of course spherical, we can get the radius by using the following relation from the volume of a sphere;

V = $\frac{4}{3} \pi r^3$ [V = volume, r = radius]

V = 28.75cm³

=> 28.75 = $\frac{4}{3} \pi r^3$

=> 3 x 28.75 = 4 π r³

=> 86.25 = 4 π r³

=> 21.5625 = π r³ [Take π = 3.142]

=> 21.5625 = (3.142) r³ [divide both sides by 3.142]

=> 6.86 = r³ [Take the cube root of both sides]

=> ∛6.86 = ∛r³

=> 1.90 = r

Therefore, the radius is 1.9cm to the nearest tenth

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3 years ago