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2 years ago

Which of the following systems of inequalities has no solution?

Mathematics

2 answers:

RSB [31]2 years ago

6 0

Answer:

The third one

Step-by-step explanation:

y=>x+1

y=<x-1

removing y

x-1 => x+1

removing x

we have no solution

asambeis [7]2 years ago

4 0

Option C has no solution.

By definition, parallel lines have the same slope, in which they have no point of intersection. Therefore, they will have no solution (making them an inconsistent system).

Out of all the given options, the inequality statements in Option C has the same slope of 1 (regardless of the inequality symbol, what matters is their lack of point of intersection because their lines are parallel).

Therefore, the correct answer is Option C: y ≥ x + 1; y ≤ x - 1.

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Someone pls help me

dlinn [17]

6.5% of $5.00 = 0.065 * $5.00 = $0.325
converting to cents by multiplying by 100
$0.325 = 32.5 cents
round to the nearest is
33 cents is your answer.

3 0

3 years ago

A sample of 400 grams of radioactive substance decays according to the function A(t) = 400e^-.046t, where t is the time in years

algol13

Answer: There will be 0.04 grams will be left in the sample after 20 years.

Step-by-step explanation:

Since we have given that

$A(t)=400e^{-0.46t}$

Here, Initial amount of radioactive substance = 400 grams

We need to find the amount of substance that will be left in the sample after 20 years.

So, t = 20 years

So, it becomes,

$A(t)=400e^{-0.46\times 20}\\\\A(t)=400e^{-9.2}\\\\A(t)=0.04\ grams$

Hence, there will be 0.04 grams will be left in the sample after 20 years.

6 0

3 years ago

Which statements about countries with lower GDP and lowest HDI scores are accurate? Check all that apply

yKpoI14uk [10]

Answer:The countries with lower GDP are the same as those with the lowest HDI.

U GDP is a solid indicator of what a country's HDI will be.

da

Step-by-step explanation:

Which statements about countries with lower GDP and lowest HDI scores are accurate?

The countries with lower GDP are the same as those with the lowest HDI - human development index a measure of life expectancy, education and per capita income indicators.

The GDP rank tends to be associated with the lowest HDI.

U GDP - gross domestic product the total monetary value of goods and services in country at a specific time period is a solid indicator of what a country's HDI will be.

The GDP can be used to rank a country's HDI

6 0

3 years ago

Read 2 more answers

A car leaves its garage and travels for 30km on a bearing of 145, then 10 km on a bearing of 250 Calculate a) the distance trave

OverLord2011 [107]

The distance travelled from the starting point is 29 km , the bearing is 344 degree

The missing diagram is attached with the answer.

<h3>What is Bearing Angle ?</h3>

It is the horizontal angle between the object and another object.

It is given that the car starts from point travels for 30km on a bearing of 145, then 10 km on a bearing of 250

(a) the distance travelled from the starting point

It can be understood from the diagram that

To determine the distance , b is to determined4

By applying Cosine rule

b² = a² +c²-2ac cos $\rm \theta$

b² = 10² +30² - 2* 30*10 cos75

b² = 100+900 -600* 0.2588

b² = 100-155.2914

b² = 844.7

b = 29 km

Therefore the distance travelled from the starting point is 29 km.

(b) the bearing of the starting point from the car.

To determine the bearing ,

angle C has to be determined

By sine rule

sin C / c = sin B / b

sin C = sin 75 * 30 / 29

sin C = 0.9970

C = sin⁻¹ 0.9970

C = 85.59 degree

angle C = α +70 degree

α = 15.59 degree

Bearing = 70 + 20 + 9 0 + 90+74 = 244 degree

To know more about Bearing

brainly.com/question/9214012

#SPJ1

5 0

1 year ago

Help please (will chose brainliest).

lara [203]

Answers with Explanation.

i. If we raise a number to an exponent of 1, we get the same number.

${10}^{1} = 10$

ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.

${10}^{2} = 10 \times 10 = 100$

iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.

${10}^{3} = 10 \times {10}^{2} = 10 \times 100 = 1000$

iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.

${10}^{4} = 10 \times {10}^{3} = 10 \times 1000 = 10000$

v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.

${10}^{5} = 10 \times {10}^{4} = 10 \times 10000 = 100000$

${10}^{5} = 100000$

vi. Recall that,

${a}^{ - m} = \frac{1}{ {a}^{m} }$
We apply this law of exponents to obtain,

${10}^{ - 2} = \frac{1}{{10}^{2} } = \frac{1}{100}$

vii. We apply
${a}^{ - m} = \frac{1}{ {a}^{m} }$
again to obtain,

${10}^{ - 3} = \frac{1}{ {10}^{3} } = \frac{1}{1000}$

5 0

3 years ago