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3 years ago

Which inequality statement describes the two numbers on a number line?

Mathematics

2 answers:

makvit [3.9K]3 years ago

7 0

Answer:

Option C)

$-7$

Step-by-step explanation:

We are given the following in the question:

"-7 and a number 5 units to the right of -7"

The nubmer 5 units to the right of -7 will be:

$=-7 + 5\\=-2$

The number line shows the two marked points.

As observed from the number line, we can write the inequality:

$-7$

Thus, the correct option is

Option C)

$-7$

Gnesinka [82]3 years ago

5 0

Answer:

its d not c so -7<-2 is the awnser

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a drawer contains 10 blue pens and 10 red pens Without looking Msr. Stanton takes 1 pen uses it and puts it back

Rudiy27

Answer:
1/2 if it's a probability question of getting one blue pen But there's also very little information on the question
Step-by-step explanation:

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2 years ago

Pregnant women metabolize some drugs at a slower rate than the rest of the population. The half-life of caffeine is about 4 hour

UkoKoshka [18]

Answer:

Husband:

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Woman:

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

Step-by-step explanation:

The amount of caffeine in the body can be modeled by the following equation:

$C(t) = C(0)e^{rt}$

In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.

110 mg of caffeine at 8 am,

So $C(0) = 110$

Husband

Half life of 4 hours. So

$C(4) = 0.5C(0) = 0.5*110 = 55$

$C(t) = C(0)e^{rt}$

$55 = 110e^{4r}$

$e^{4r} = 0.5$

Applying ln to both sides

$\ln{e^{4r}} = \ln{0.5}$

$4r = \ln{0.5}$

$r = \frac{\ln{0.5}}{4}$

$r = -0.1733$

So for the husband

$C(t) = 110e^{-0.1733t}$

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

$C(t) = 110e^{-0.1733t}$

$C(11) = 110e^{-0.1733*11} = 16.35$

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Pregnant woman

Half life of 10 hours. So

$C(10) = 0.5C(0) = 0.5*110 = 55$

$C(t) = C(0)e^{rt}$

$55 = 110e^{10}$

$e^{10r} = 0.5$

Applying ln to both sides

$\ln{e^{10r}} = \ln{0.5}$

$10r = \ln{0.5}$

$r = \frac{\ln{0.5}}{10}$

$r = -0.0693$

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

$C(t) = 110e^{-0.0693t}$

$C(11) = 110e^{-0.0693*11} = 51.33$

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

7 0

3 years ago

What is the percentage change in total number of players from Tram A 2021 to 2022 when more than 6 but less 20 matches where won

babunello [35]

Answer:

46%

Step-by-step explanation:

You subtract the old by new then devide by the old and multiply by 100%

8 0

1 year ago

The formula for the volume of a sphere is v= 4/3 m^3 what is the formula solved for r ?

Softa [21]

Answer:

r = ∛ ( ---------- )

4π

Step-by-step explanation:

Please, enclose the fraction 4/3 inside parentheses, to eliminate any possibility of misreading this fraction. Also note that this formula MUST include "pi," symbolized by π.

V = (4/3) π r³ This formula does NOT include "m," which is a unit of measurement, not a variable.

Our task is to solve this formula for the radius, r.

Divide both sides by (4/3) π, to isolate r³. This results in:

v (4/3) π r³

------------- = -----------------

(4/3) π (4/3) π

V 3V

Then r³ = -------------- = --------

(4/3) π 4π

and r is found by taking the cube root of the above result:

r = ∛ ( ---------- )

4π

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3 years ago

What is the ratio for tangent

N76 [4]

Tangent ratio is the ratio of opposite side to adjacent side of a right triangle. Same as the sine and cosine ratios, tangent ratios can be used to calculate the angles and sides of right angle triangles.

3 0

2 years ago