Quadrilateral ABCD is inscribed in this circle

What is the measure of angle A?

The basic unit of mass of the ball in the metric system is the gram.

The base units of length (distance), capacity (volume), and weight (mass) in the metric system are the meter, liter, and gram, respectively. We utilize units that are derived from metric units to measure smaller or greater quantities.

Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass.

Therefore, the basic unit of mass of the ball in the metric system is the gram.

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Include options please

The statistical question is "What is the typical age of the grade 7 Mathematics teacher?"

The question is given as:

"how old is my mathematics teacher?"

A statistical question is such that requires statistical data to be answered or completed.

A statistical question for "how old is my mathematics teacher?" could be "What is the typical age of the grade 7 Mathematics teacher"

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Hence the equation 3(5x - 4) - 8x = 7x -12 has infinite number of solutions.

An equation is a statement of equality between two expressions consisting of variables, numbers and arithmetic operations.

Step-by-step explanation:

The equation 8x = 8(x - 1)+1 can be simplified as

8x=8x-8+1

0=-7( absurd)

This equation does not have any solution.

The equation 2x-5 = 2(x - 5) can be simplified as

2x-5=2x-10

-5=-10(absurd)

This equation does not have any solution.

The equation 22-6x = 2(3x - 11) can be simplified as

22-6x=6x-22

-6x-6x=-22-22

-12x=-44

x=44/12=11/3

This equation has only one solution.

The equation 3(5x - 4) - 8x = 7x -12 can be simplified as

15x-12-8x=7x-12

7x-12=7x-12

0=0, is an identity

This equation has infinite number of solutions.

Hence the equation 3(5x - 4) - 8x = 7x -12 has infinite number of solutions.

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At the end of the eighth week, there will be 51,200 ants in the colony.

To determine the number of ants in the colony at the end of the eighth week, we need to consider that the number of ants doubles each week. Starting with 400 ants, we can calculate the number of ants at the end of each week using exponential growth.

Week 1: 400 ants

Week 2: 400 * 2 = 800 ants

Week 3: 800 * 2 = 1600 ants

Week 4: 1600 * 2 = 3200 ants

Week 5: 3200 * 2 = 6400 ants

Week 6: 6400 * 2 = 12800 ants

Week 7: 12800 * 2 = 25600 ants

Week 8: 25600 * 2 = 51200 ants

It's important to note that this calculation assumes ideal conditions of exponential growth and does not account for any factors that could limit or affect the ant population in real-life situations. Additionally, the actual growth of an ant colony may be influenced by various factors, such as resource availability, competition, and external threats.

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Solution

For this case we have the following function:

And we want to find the steps to obtain the above function from this one:

So we can do the following:

Reflection over the x axis

horizontal shift to the left 2 units

The most appropriate choice for linear inequation will be given by

Solution set = {\(x \epsilon \mathbb{R}, x \leq 6\)}

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by \(>\), \(<\), \(\geq\), \(\leq\) sign

A one degree inequation is known as linear inequation.

Here,

\(4(x - 3) - 7x \geq 6\\4x -12 - 7x \geq 6\\-3x -12\geq 6\\-3x \geq 6 + 12\\-3x \geq 18\\x \leq \frac{18}{3}\\x \leq 6\)

Solution set = {\(x \epsilon \mathbb{R}, x \leq 6\)}

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Total distance represented by the simplified expression for which the car was tested equals option c. x² + 2x - 4 .

Total distance drive on flat road = x miles

Total distance drive on downhill =  (x²+ 3) miles

Total distance drive on uphill =  ( x - 7 ) miles

Simplified expression which is equivalent to total distance drive by a car

= Distance drive on ( flat road + downhill + uphill )

= ( x +  x²+ 3 + x - 7 ) miles

= ( x² + 2x - 4 ) miles

Therefore, the simplified expression equivalent to the total distance drive by a tested car is equal to option c.  ( x² + 2x - 4 ) miles.

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The above question is incomplete , the complete question is:

A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road,    (x²+ 3) miles downhill, and (x - 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?

a.3x² _ 4

b. 3x² + 10

c. x² + 2x - 4

d. x² + 2x + 10

The ratio of red marbles to green marbles, \(r:g=5:7\)

The first sentence about what happens to the bag of marbles;

"When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3"

Leads to the fractional equation

\(\frac{r-1}{g+1}=\frac{2}{3}\)

After rearranging, we get equation (1) \(3r-2g=5\)

The next sentence about what happens to the bag of marbles;

"Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4"

Leads to the fractional equation

\(\frac{r-1+6}{g+1+4}=\frac{3}{4}\implies \frac{r+5}{g+5}=\frac{3}{4}\)

Since the first change to the bag was done without replacement. After rearranging, we get equation (2) \(4r-3g=-5\)

So we need to solve the simultaneous equations for \(r\) and \(g\)

\(3r-2g=5\\4r-3g=-5\)

Which gives \(r=25\) and \(g=35\)

Therefore, the ratio, \(r:g=25:35=5:7\)

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Answer:

D.(4^1/2)^4

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Red: 47.5%, Yellow: 30%, Blue: 22.5%

Step-by-step explanation:

Answer

4= 55 and 3/4 5= 4 2/5    6= 6 and 1/2

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

I did #4 for you:

\(11\frac{8}{9}+5\frac{1}{2}\)

\(11+5+\frac{8}{9}+\frac{1}{2}\)

\(16+\frac{16}{18}+\frac{9}{18}\)

\(16+\frac{24}{18}\)

\(16+\frac{4}{3}\)

\(16+1+\frac{1}{3}\)

\(17\frac{1}{3}\)

It really helps to break up the mixed numbers into parts and change the fractions so they have the same denominator. Try to do #5 and #6 the same way I did.

The scientist needs to mix a 25% solution and a 12% solution to obtain a 15% alcohol solution totaling 65 liters. The number of liters needed for each solution can be calculated.

Let's assume the scientist needs x liters of the 25% solution and (65 - x) liters of the 12% solution to make a 15% solution totaling 65 liters.

To determine the amount of alcohol in the resulting mixture, we can set up an equation based on the percentages:

0.25x + 0.12(65 - x) = 0.15(65)

Simplifying the equation:

0.25x + 7.8 - 0.12x = 9.75

Combining like terms:

0.13x + 7.8 = 9.75

Subtracting 7.8 from both sides:

0.13x = 1.95

Dividing both sides by 0.13:

x = 15

Therefore, the scientist needs to mix 15 liters of the 25% solution and (65 - 15) = 50 liters of the 12% solution to obtain a 15% alcohol solution totaling 65 liters.

By calculating the appropriate quantities for each solution, the scientist can achieve the desired alcohol concentration in the final mixture.

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Answer:-48

(6)2-4×7×3

36-89

-48

15/22 divided by 10/11 equals 3/4 calculated by inverting the second fraction and multiply this fraction with first fraction.

To divide fractions 15/22 divided by 10/11.

Invert the second fraction 10/11.

To invert a fraction, simply swap the numerator and the denominator.

10/11 becomes 11/10.

Multiply the first fraction by the inverted second fraction:

(15/22) × (11/10)

= (15 × 11) / (22 × 10)

= 165 / 220.

The greatest common divisor (GCD) of 165 and 220 is 55, so we can simplify the fraction by dividing both the numerator and the denominator by 55:

165 / 220

= (165 ÷ 55) / (220 ÷ 55)

= 3/4.

So, 15/22 divided by 10/11 is equal to 3/4.

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The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean = \(n \times p\) = \(180 \times 0.42\) = 75.6

standard deviation = \(\sqrt{n \times p \times q}\) = \(\sqrt{180 \times 0.42 \times 0.58}\) = 6.622

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The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean =   75.6

standard deviation =  6.622

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In pent-2-en, the trans isomer would have one hydrogen atom and one methyl group on each side of the double bond.

For pent-2-ene, there are two geometric isomers: cis-pent-2-ene and trans-pent-2-ene. In cis-pent-2-ene, the two alkyl groups (CH3 and CH2CH2CH3) are on the same side of the double bond. In trans-pent-2-ene, these two alkyl groups are on opposite sides of the double bond. These isomers have different physical and chemical properties due to the spatial arrangement of their atoms.

Pent-2-en is a five-carbon molecule with a double bond between the second and third carbon atoms. Therefore, it has two possible geometric or cis/trans isomers. The first isomer is the cis isomer, also known as Z-isomer, where the two substituents on the double bond are on the same side of the molecule. In pent-2-en, the cis isomer would have the two hydrogen atoms on one side of the double bond, and the two methyl groups on the other side.  The second isomer is the trans isomer, also known as the E-isomer, where the two substituents on the double bond are on opposite sides of the molecule. In pent-2-en, the trans isomer would have one hydrogen atom and one methyl group on each side of the double bond.

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Probability of neither threaded nor flanged widget (complement):

P(neither T nor F) = 1 - P(T or F)

To find the probability using formulas, we can apply the principles of probability. Let's denote the events as follows:

T: Widget is threaded

F: Widget is flanged

We are given:

P(T) = 7/12 (probability of threaded widget)

P(F) = 5/8 (probability of flanged widget)

P(T and F) = 2/9 (probability of widget being both threaded and flanged)

Using the formulas for probability, we can find:

Probability of either threaded or flanged widget (union):

P(T or F) = P(T) + P(F) - P(T and F)

= 7/12 + 5/8 - 2/9

Probability of neither threaded nor flanged widget (complement):

P(neither T nor F) = 1 - P(T or F)

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Answer: 5(x+3)(x-2)

Step-by-step explanation:

just read closely and pay attention in class.

Answer:

A

Step-by-step explanation:

because it is a straight line locate at x = 6 that pass to every y coordinate, so it pass -8 too.

Answer:

The answer is the 2th one , i mean 18 C

Step-by-step explanation:

30 power 2 = 24 power 2 + x power 2

900 = 576 + x power 2

324 = x power 2

x = 18

Answer:

18c

Step-by-step explanation:

30 power 2 = 24 power 2 + x power 2

900 = 576 + x power 2

324 = x power 2

x = 18

Answer:

the area should be in in2

The given data shows that in 2000, the population of a country was approximately 6.19 million, and by 2050, it is projected to grow to 10 million. The exponential growth model can be represented as:

A = A0e^{kt}

Where A0 = 6.19 (initial population in 2000), A = 10 (projected population in 2050), T = 50 - 00 = 50 years (time period between 2000 and 2050).

Substituting the values in the formula, we get:

10 = 6.19 e^{k × 50}

Solving for k:

e^{k × 50} = 10/6.19

k × 50 = ln(10/6.19)

k = ln(10/6.19) / 50

k = 0.0169

Therefore, the population of the country will be given by A = 6.19 e^{0.0169t} where t represents the time in years after 2000.

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The approximate value of ㏒(b) to the nearest hundredth is 1.23.

The other method to write exponents in mathematics is using logarithms. A number's base-based logarithm is equal to some other number. A logarithm performs exponentiation's exact opposite function. 

In Logarithms, ㏒ₐ(b) = ㏒(b)/ ㏒(a)

Given that

The two expressions below have the same value when rounded to the nearest hundredth

=> ㏒₅ (b) = ㏒₉ (48)  

As we know  ㏒ₐ(b) = ㏒(b)/ ㏒(a)

=> ㏒₅ (b) = ㏒(b)/㏒(5)

=> ㏒(b)/㏒(5) = ㏒₉ (48)  

=> ㏒(b) = ㏒₉ (48) ㏒(5)

=> ㏒(b) =  (1.7618)(0.6989)  

=> ㏒(b) = 1.23132202  

=> ㏒(b) = 1.23  

Therefore,

The approximate value of ㏒(b) to the nearest hundredth is 1.23.

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The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.

However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.

For the percentage of newborn African lions weighing less than 3 pounds:

We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.

For the percentage of newborn African lions weighing more than 3.8 pounds:

Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.

Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

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Answer:

He has $390 left in his account.

Step-by-step explanation:

Answer:

490 is the answer

Answer:

HI I am back thanks for zooming in I would say your answer would be D sorry if i am wrong but that should be correct I am 98% sure. Plz let me know if it is correct or not! (Brainliest Plz)

Step-by-step explanation:

(PLz give me Brainliest)