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3 years ago

Find the volume of the following cube

Mathematics

2 answers:

Lisa [10]3 years ago

7 0

is it 5 ft , 5ft and 5ft?

if so, the answer would be 125 ft

because, the formula is, side×side×side

and hence, 5×5×5 = 125

kirza4 [7]3 years ago

4 0

Pretty sure it’s 25 but I could be wrong. It’s also rly blurry. Hope this helps

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When doctors prescribe medicine, they must consider how much the drug’s effectiveness will decrease as time passes. If each hour

Darya [45]

Answer: The level of the dose be after 3 hours= 0.03125 mg.

Step-by-step explanation:

General exponential decay equation : $y=A(1-r)^x$ , where A = initial value , r= rate of decay , x =Time period.

Here, drug’s effectiveness is decreasing exponentially.

AS per given , we have

A= 250 mg

x=3

r= 95% = 0.95

Then, $y=250(1-0.95)^3 = 250(0.05)^3=250*0.000125=0.03125$

Hence, the level of the dose be after 3 hours = 0.03125 mg.

8 0

3 years ago

Math help Please!!!!

GalinKa [24]

Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?

Rewrite the equation −2y=3x+7 in the form $y=-\dfrac{3}{2}x-\dfrac{7}{2}.$ Here the slope of the given line is $m_1=-\dfrac{3}{2}.$ If $m_2$ is the slope of perpendicular line, then

$m_1\cdot m_2=-1,\\ \\m_2=-\dfrac{1}{m_1}=\dfrac{2}{3}.$

Answer 1: $\dfrac{2}{3}$

Part B. The slope of the line y=−2x+3 is -2. Since $-\dfrac{3}{2}\neq -2\quad \text{and}\quad \dfrac{2}{3}\neq -2,$ then lines from part A are not parallel to line a.

Since $-2\cdot \left(-\dfrac{3}{2}\right)=3\neq -1\quad \text{and}\quad -2\cdot \dfrac{2}{3}=-\dfrac{4}{3}\neq -1,$ both lines are not perpendicular to line a.

Answer 2: Neither parallel nor perpendicular to line a

Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then

2·5+5·(-4)=b,

10-20=b,

b=-10.

Answer 3: 2x+5y=-10.

Part D. The slope of the line $y=\dfrac{x}{4}+5$ is $\dfrac{1}{4}.$ Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then

7=-4·2+b,

b=7+8,

b=15.

Answer 4: y=-4x+15.

Part E. Consider vectors $\vec{p}_1=(-c-0,0-(-d))=(-c,d)\quad \text{and}\quad \vec{p}_2=(0-b,a-0)=(-b,a).$ These vectors are collinear, then

$\dfrac{-c}{-b}=\dfrac{d}{a},\quad \text{or}\quad -\dfrac{a}{b}=-\dfrac{d}{c}.$

Answer 5: $-\dfrac{a}{b}=-\dfrac{d}{c}.$

5 0

4 years ago

Read 2 more answers

You found a job that pays $15$ per hour. After working for one year, you will get a 4% raise. What will be your new pay rate aft

hammer [34]

Umm I am not sure........

3 0

4 years ago

Is algebra.

jasenka [17]

18n^6-20n^4+10n^3=
2n^3 (9n^3-10n+5)

Hope this helps :)

3 0

3 years ago

Read 2 more answers

If anyone can help me to solve this.

Sindrei [870]

Answer:

x + 96 = 90°

x + 89 = 80°

Step-by-step explanation:

Consecutive Interior Angles Theorem

When a transversal line intersects two parallel lines, it forms two pairs of consecutive angles on either side of the transversal line. Each pair of consecutive interior angles are supplementary (sum to 180°).

Question 1

To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:

⇒ (x + 96)° + (x + 96)° = 180°

⇒ x + 96 + x + 96 = 180

⇒ 2x + 192 = 180

⇒ 2x + 192 - 192 = 180 - 192

⇒ 2x = -12

⇒ 2x ÷ 2 = -12 ÷ 2

⇒ x = -6

Substitute the found value of x into the expression to find the measure of the angle indicated in bold:

⇒ x + 96 = -6 + 96 = 90°

Question 2

To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:

⇒ (x + 109)° + (x + 89)° = 180°

⇒ x + 109 + x + 89 = 180

⇒ 2x + 198 = 180

⇒ 2x + 198 - 198 = 180 - 198

⇒ 2x = -18

⇒ 2x ÷ 2 = -18 ÷ 2

⇒ x = -9

Substitute the found value of x into the expression to find the measure of the angle indicated in bold:

⇒ x + 89 = -9 + 89 = 80°

3 0

2 years ago

Read 2 more answers