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3 years ago

5

Solve the inequality -16<8-4w

2 answers:

miskamm [114]3 years ago

5 0

Answer:

w>3

Step-by-step explanation:

Ket [755]3 years ago

4 0

To solve an inequality, you have to isolate the variable

in order to do that, we have to put the constant on the other side by using the opposite function

so: -16<8-4w ( subtract 8 from both sides) = -24 < -4w

now, divide each side by -4. because we are dividing by a negative number, the sign flips

6 > w

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If the equation y = 1/3 x + 2 is changed to y = 3x + 2, what will be true about the graph of the equation?

Anna11 [10]

That would be D) The slope of the graph will be changed.
I hope it helps

4 0

3 years ago

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In 1928, when the high jump was first introduced as a women's sport at the Olympic Games, the winning jump for women was 70.0 in

sveta [45]

Answer: year 2194

Explanation:

1) Model the jump of the women:

i) initial jump = 70.0 in

ii) increase rate = 0.48% per year

iii) equation: h = 70.0(1 +0.0048)ⁿ

2) Model the jump of the men:

i) initial jump 86.5 inches.

ii) increase rate, 0.4%.

iii) equation: h = 86.5 (1 + 0.004)ⁿ

3) Equal the two equations (h = h) to find when the jumps will be equal:

i) 70.0(1 +0.0048)ⁿ = 86.5 (1 + 0.004)ⁿ

ii) 70.0(1.0048)ⁿ = 86.5 (1.004)ⁿ

ii) [1.0048ⁿ / 1.004ⁿ] = 86.5/70.0

iii) [1.0048/ 1.0040]ⁿ = 86.5/70.0

iv) n log (1.0048 / 1.0040) = log ( 86.5/70)

v) n = log (86.5/70) / log (1.0048/1.0040) ≈ 266

3) year = 1928 + 266 = 2194

That is in the year 2194

8 0

3 years ago

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The graph of a linear equation contains the points (3,11) and (-2,1) . Which point also lies on the graph.

Ainat [17]

The answer for this is b

6 0

3 years ago

Make r the subject of the formula

zloy xaker [14]

Answer:

$r=\frac{-a+p}{a+p}$

Step-by-step explanation:

$-pr+p=ar+a$

$-ar-pr+p=a$

$-ar-pr=a-p$

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$r=\frac{-a+p}{a+p}$

3 0

3 years ago

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The diagram below represents the net of a triangular prism. What is the surface area of the triangular prism?

AleksandrR [38]

Answer:

(C)

Step-by-step explanation:

The diagram is divided ninto 5 parts that is rectangles ABCD, CHGD, GFEH and triangles CIH and DGJ.

Area of rectangle ABCD= $l{\times}b$

= $12{\times}6=72cm^{2}$

Area rectangle CDHG= $l{\times}b$

= $12{\times}8=96cm^{2}$

Area rectangle HGFE= $l{\times}b$

= $10{\times}12=120cm^{2}$

Area of triangles CIH and DIG= $2{\times}\frac{1}{2}{\times}b{\times}h$

= $6{\times}8=48cm^{2}$

Surface area of the triangular prism=Area of rectangle ABCD+Area rectangle CDHG+Area rectangle HGFE+Area of triangles CIH and DIG

= $72+96+120+48=336cm^{2}$

Hence, option C is correct.

3 0

3 years ago