Factor completely.

4x^a+2+20x^a

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

The age of Barbra is 22 years.

The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.

Now, according to the question.

Let 'a' be the age of Alice.

Let 'b' be the age of Barbra

Let 'c' be the age of Carol.

The sum of age of all three sisters is 68 years.

Thus,  a + b + c = 68

Now, as Alice is three years younger than Barbra.

a = b - 3

and, Barbra is 5 years younger than Carol.

b = c - 5

c = b + 5

By substitution of values of a and c in total age.

(b - 3) + b + (b + 5) = 68

3b - 3 + 5 = 68

On solving the expression.

b = 22

Therefore, the age of Barbra is 22 years.

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Answer:

3, 1

Step-by-step explanation:

Slope is rise/run, with the rise being the y increase, and x being the x increase.

Since the run represented is 3, and the rise is 9:

9/3 = 3

The y-intercept is the value of f(x) (which is y) when x = 0

since the equation of the line is:

f(x) = 3x + b

we need to go down 3 units of x since x = 0

3 x 3 = 9

10 - 9 = 1

b = 1

The y-intercept is 1.

Variance and Standard deviation can tell us the variation of data within a group of samples.

What is a variance?

Variance is a term used in probability theory and statistics to measure how far a group of numbers are spread out from their mean value.

In the context of hypothesis testing, the variance of two groups of data is compared to see if they are statistically significant.

A smaller variance indicates that the data points are closer together, whereas a larger variance indicates that the data points are farther apart.

What is Standard deviation?

The standard deviation is the square root of the variance, and it is used to express the average distance that data points deviate from the mean in a group of samples.

It is used in statistics to measure how tightly a set of data is clustered around its mean.

What is Mean?

The average value of a group of numbers is referred to as the mean.

It is calculated by adding all of the numbers together and then dividing by the total number of numbers.

What is T-value?

The t-value is used to test the null hypothesis, which states that there is no significant difference between two groups of data.

The t-value is calculated by subtracting the mean of one group from the mean of the other group and then dividing by the standard deviation of the two groups combined.

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Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. The total annual cost for Bank B is $174.40.

To compare the cost of online banking, Tim Worker needs to consider various factors, including the basic monthly fee, bill paying monthly fee, limits on the number of checks written, and cost per bill beyond the limit. The basic fee is the amount charged by the bank for providing access to online banking services.

The bill paying fee is charged for each payment made through the online bill pay service. The limit on the number of checks written is the maximum number of checks that can be written in a given month without incurring additional charges. The cost per bill beyond the limit is the amount charged for each bill payment made beyond the specified limit.

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. To calculate the annual cost for Bank B, we can multiply the basic fee and bill paying fee by 12 and add the cost of any additional bills beyond the limit, multiplied by the cost per bill and the number of months in a year.

The total annual cost for Bank B is $174.40, calculated as follows:

Basic fee = $9.95 * 12 = $119.40

Bill paying fee = $5.95 * 12 = $71.40

Cost of bills beyond limit = $1 * (35 - 20) * 12 = $180

Total cost = $119.40 + $71.40 + $180 = $371.80

However, since the cost per bill beyond the limit is capped at $20 per month, the actual cost is $9.95 * 12 + $5.95 * 12 + $20 * 12 = $174.40.

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Answer:

10x³ + 28x² - 12x - 18

Step-by-step explanation:

Given

(5x² - x - 3)(2x + 6)

Each term in the second factor is multiplied by each term in the first factor, that is

5x²(2x + 6) - x(2x + 6) - 3(2x + 6) ← distribute the parenthesis

= 10x³ + 30x² - 2x² - 6x - 6x - 18 ← collect like terms

= 10x³ + 28x² - 12x - 18

Answer:

4d-16/1, 8d-32/2, 12d-48/3, etc.

Step-by-step explanation:

Just throw a denomiator under the expression and adjust the expression accordingly.

Answer:

following square root of a number is. Select the letter of your choice below.

A. 3 and 4. G. 8 and 9

B. 4 and 5. H. 9 and 10

C. 5 and 6. I. 10 and 11

D. 6 and 7. J. 11 and 12

E. 7 and 8. K. 12 and 13

_1. √11. _6.√109

_2.√35. _7.√124

_3.√41. _8.√131

_4.√67. _9.√146

_5.√89 _10.√155

GIVE ME SOME ANSWER JUST FOR MY MO

Answer:

Visual artifacts are anomalies apparent during visual representation as in digital graphics and other forms of imagery, especially photography and microscopy.

Answer:

Step-by-step explanation:

Step one:

given

we are told that the total number of students is =16

so 25% of these students preferred pizza

Firstly, we want to know what 25% of 16 will be

so

=25/100*16

=0.25*16

=4

This means that only 4 students preferred pizza

Answer:

option d. is the correct answer

Ion-dipole interactions can occur between any ion and any molecule with a dipole. This type of interaction is due to the attraction between the positive or negative charge of an ion and the partial positive or negative charge of a polar molecule.

Based on this, the following pairs of species can interact via ion-dipole forces:

1. Na+ and H2O: Sodium ion (Na+) can interact with water (H2O) because water has a dipole moment due to its polar covalent bonds.

2. Cl- and NH3: Chloride ion (Cl-) can interact with ammonia (NH3) because ammonia has a dipole moment due to its polar covalent bonds.

3. Ca2+ and CH3OH: Calcium ion (Ca2+) can interact with methanol (CH3OH) because methanol has a dipole moment due to its polar covalent bonds.

4. K+ and CH3CN: Potassium ion (K+) can interact with acetonitrile (CH3CN) because acetonitrile has a dipole moment due to its polar covalent bonds.

It is important to note that these are just a few examples of pairs that can interact via ion-dipole forces. There are many other combinations possible, as long as one species is an ion and the other has a dipole moment.

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We shall begi by determining the size of the arc that was cut out of the rectangular paperboard.

Observe that the new shape now consists of two lengths measuring 23 inches each, and one width measuring 18 inches, and the half circumerence measuring 28.26 inches.

The perimeter therefore is the addition of all sides and that is;

Perimeter = 23 + 23 + 18 + 28.26

Perimeter = 92.26 inches

The percentage increase in the price of petrol is approximately 5.56%.

Percentages are used to compare and express parts of a whole, and to express changes or differences in values. For instance, we can use percentages to express:

A discount or a markup in prices

The increase or decrease in a quantity or value

The proportion of a quantity compared to a whole

The probability of an event occurring.

In the given question,

To determine the percentage increase in the price of petrol, we need to calculate the difference between the old price and the new price, divide that by the old price, and then multiply by 100 to convert to a percentage.

The difference between the old price and the new price is:

R 13.28 - R 12.58 = R 0.70

Dividing the difference by the old price:

R 0.70 ÷ R 12.58 ≈ 0.0556

Multiplying by 100 to convert to a percentage:

0.0556 × 100 ≈ 5.56%

Therefore, the percentage increase in the price of petrol is approximately 5.56%.

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Answer:

7π

Step-by-step explanation:

Formula for finding circumference: 2πr

Diameter = r x 2

The diameter is 7 cm so the radius should be 3.5 cm.

3.5 x 2 is 7 so the circumference in terms of pi is 7π

Answer:

3(9a+8)

Step-by-step explanation:

have a nice day and week

Answer:

3(9a+8)

Step-by-step explanation:

The greatest common factor of both terms is 3

So we take 3 outside the brackets to give us:

3(9a+8)

The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

Let's solve this problem step by step:

Let's assume the cost of the paper clip is x dollars.

According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).

The total cost of the folder and the paper clip is $1.10, so we can write the equation:

x + (x + $1.00) = $1.10

Combining like terms, we have:

2x + $1.00 = $1.10

Subtracting $1.00 from both sides of the equation, we get:

2x = $0.10

Dividing both sides by 2, we find the value of x:

x = $0.10 / 2

x = $0.05

Therefore, the paper clip costs $0.05.

In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

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The perimeter is the sum of the side length of the square

The perimeter of the square is 72x + 192

The side length is given as:

L = 18x + 48

The perimeter is calculated as:

P = 4L

So, we have:

P = 4 * (18x + 48)

Expand

P = 72x + 192

Hence, the perimeter of the square is 72x + 192

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The antiderivative of k(x) is F(x) = x⁻⁵ / (-5) + x² + 4x + C. To find the antiderivative of k(x), we need to find a function F(x) such that F'(x) = k(x).Finding the antiderivative of x⁻⁶can be done using the power rule of integration:

∫ x⁻⁶ dx = x⁻⁵ / (-5) + C1, where C1 is the constant of integration.

We may locate the antiderivative of 2x by using the power rule once more:

∫ 2x dx = x² + C2, where C2 is another constant of integration.

Last but not least, here is the antiderivative of 4:

∫ 4 dx = 4x + C3, where C3 is yet another constant of integration.

Combining everything, we have:

F(x) = ∫ x⁻⁶ + 2x + 4 dx

= x⁻⁵ / (-5) + x² + 4x + C, where C = C1 + C2 + C3 is the overall constant of integration.

Therefore, the antiderivative of k(x) is F(x) = x⁻⁵ / (-5) + x² + 4x + C.

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Answer:

=28

Step-by-step explanation:

10+(9−3)(3)

=10+(6)(3)

=10+18

=28

Answer:

x= 171 y=205

(171,205)

The probability that no digit appears more than twice is 0.648.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here,

We will choose each digit of 5-digit numbers at random from digits 0,1,2,..,9.

We have to compute the probability that no digit appears more than twice.

So, we have to form a five-digit number say "abcde".

Now, for 'a' we have 10 choices.

For 'b' we have again 10 choices because a digit can appear at most two.

For 'c' we have 9 choices because the digit in 'a' can not be chosen as a digit can appear at most two.

For 'd' we have again 9 choices by a similar argument.

Finally, for 'e' we have 8 choices because the digit chosen previously can not be repeated more than twice.

The total number of such 5-digit numbers is = 10*10*9*9*8 = 64800.

Now, a total number of 5-digit numbers = 10*10*10*10*10 = 100000.

Hence, the probability that no digit appears more than twice is given by,

= 64800/ 100000

= 0.648

Hence, the probability that no digit appears more than twice is 0.648.

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Given that Angelo has x semesters remaining, the algebraic expressions which represent (1) the total amount he will need for tuition, (2) the total amount he will need for the fees, and (3) the total amount of money he will spend for tuition and fees, are 1312x, 85x, and 1397x, respectively.

An algebraic expression is a number, variable, or the combination of both and operational symbols.

If Angelo has to pay $1312 in tuition each semester, and he has x semesters remaining, then the algebraic expression to represent the total amount he will need for tuition can be written as:

"1312x"

where x is the number of semesters remaining

If Angelo has to pay $85 in fees each semester, and he has x semesters remaining, then the algebraic expression to represent the total amount he will need for the fees can be written as:

"85x"

where x is the number of semesters remaining

Combining the two algebraic expression will represent the total amount of money he will spend for tuition and fees and can be written as:

1312x + 85x

(1312 + 85) x

"1397x"

where x is the number of semesters remaining

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In two hours there will be 80 cars washed

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

In every 3 minutes, the number of car washes = 2

In 1 minute 2/3 car will be washed

In 30 minute 20 car will be washed.

And in 120 minutes 80 cars will be washed.

The intervals for car washed in every 3 minute are

{(3,2), (6,4), (9,6), (12,8), (15,10), (18,12), (21,14), (24,16), (27,18), (30,20)}

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Answer:

h = 6

Step-by-step explanation:

Substitute the given to its corresponding places.

30 = \(\frac{1(10)h}{2}\)

30 = 10h/2

Multiply both sides by two to remove the denominator.

2 [30 = 10h/2] 2

60 = 10h

Divide both sides by 10 to isolate h.

h = 6

To check, substitute everything to the original equation:

A = \(\frac{1(10)(6)}{2}\)

A = 30 !