1/4 of what equals 6

Answer:

-10

Step-by-step explanation:

When multiplying a negative number by a positive number, you multiply the numbers normally and then add on a negative sign. When dealing with signs in multiplication/division, two positives make a positive, two negatives make a positive, and one negative and one positive make a negative.

Answer:

8.5 = $35,000

2% = $18,000

Step-by-step explanation:

two equations can be derived from the question

x + y = $53,000 equation 1

0.02x + 0.085y = $3,335.00. equation 2

x = amount invested in 2% bond

y =  amount invested in 8.5% bond

multiply equation 1 by 0.02

0.02x + 0.02y = 1060 equation 3

subtract equation 2 from 3

0.065y = 2275

y = 35,000

substitute for y in equation 1

53,000 - 35,000 = 18,000

Answer:

\( \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 3x - 10 } \)

let the denominator x² - 3x - 10 is f(x),

• Setting this factor equal to 0,

→ x² - 3x - 10 = 0

• By using Middle term splitting method,

→ x² - 5x + 2x - 10 = 0

→ (x² - 5x) + (2x - 10) = 0

• Taking common,

→ x( x - 5 ) + 2( x - 5 ) = 0

→ ( x - 5 ) ( x + 2 ) = 0

• Again, setting these factors equal to 0,

( x - 5 ) = 0 and ( x + 2 ) = 0

→ x = 5 → x = -2

Hence, the values that would make the fraction undefined is x = 5,-2...

The values x = 5 and x = -2 would make the fraction undefined since they would result in a zero denominator.

To find the values that would make the fraction undefined, we need to identify any values of x that would make the denominator equal to zero.

The denominator of the fraction is (\(x^2 - 3x - 10\)). We need to solve the equation:

\(x^2 - 3x - 10 = 0\)

To factorize the quadratic equation, we look for two numbers that multiply to -10 and add up to -3. These numbers are -5 and 2:

(x - 5)(x + 2) = 0

Now, we can set each factor equal to zero and solve for x:

x - 5 = 0 => x = 5

x + 2 = 0 => x = -2

Therefore, the values x = 5 and x = -2 would make the fraction undefined since they would result in a zero denominator.

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The line best illustrates the growth of a facultative anaerobe incubated aerobically is (b) on the graph.

Cells are the basic unit of life, and they carry out a variety of functions within an organism.

When a catalase-negative cell is exposed to hydrogen peroxide, the hydrogen peroxide will not be broken down into water and oxygen as quickly as it would be in a catalase-positive cell (i.e., a cell that does produce catalase).

This can have important implications for the survival of the cell, particularly under aerobic (i.e., oxygen-rich) conditions.

The figure may contain several lines or curves, each of which represents the change in concentration of hydrogen peroxide over time for a different type of cell.

One of these lines will correspond to the catalase-negative cell. Since this cell does not produce catalase, the rate at which hydrogen peroxide is broken down will be slower than in a catalase-positive cell.

Therefore, the line corresponding to the catalase-negative cell should show a slower decrease in hydrogen peroxide concentration over time than the line corresponding to a catalase-positive cell.

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Answer:

rotate 180

Step-by-step explanation:

because you can try it urself

The given function is f(x) = 2(3x) = 6x.

The domain of the function is all real numbers since there are no restrictions on the input x. Therefore, the correct answer is:

Domain: (-∞, ∞)

To find the range, we can consider the fact that the function is a linear function with a positive slope of 6. This means that the output values increase as the input values increase.

The lowest possible output value occurs when x = 0, which gives f(0) = 0. As x increases, the output values increase without bound. Therefore, the range of the function is:

Range: (0, ∞)

So, the correct answer is:

Domain: (-∞, ∞)

Range: (0, ∞)

the 90% confidence interval for y when x = 69 is (41.5, 52.3). This means that we are 90% confident that the true value of y is between 41.5 and 52.3 when x = 69.

To find the 90% confidence interval for y when x = 69, we need to use regression analysis. First, we need to fit a regression model to the data and obtain the regression equation. Once we have the regression equation, we can plug in the value of x = 69 and get the predicted value of y.

Assuming that we have already performed the regression analysis, let's say the regression equation is:

y = 4.5 + 0.6x

To find the predicted value of y when x = 69, we simply plug in x = 69 into the equation:

y = 4.5 + 0.6(69)
y = 46.9

So, the predicted value of y when x = 69 is 46.9.

To find the 90% confidence interval for this predicted value, we need to use the standard error of the estimate (SEE) and the t-distribution. The formula for the confidence interval is:

y ± t(0.05/2, n-2) x SEE

where y is the predicted value of y, t(0.05/2, n-2) is the critical value of the t-distribution for a 90% confidence level with n-2 degrees of freedom (n is the sample size), and SEE is the standard error of the estimate.

Let's say that the SEE is 3.2 (we obtain this value from the regression output) and the sample size is n = 50. Using a t-distribution table, we find that the critical value for t(0.05/2, 48) is 1.677.

Plugging in the values, we get:

46.9 ± 1.677 x 3.2
46.9 ± 5.4
(41.5, 52.3)

So, the 90% confidence interval for y when x = 69 is (41.5, 52.3). This means that we are 90% confident that the true value of y is between 41.5 and 52.3 when x = 69.
To provide a 90% confidence interval for y when x = 69, we need more information such as the regression equation, the standard error, and the critical value. Once you have this information, you can calculate the lower and upper bounds of the confidence interval. Please provide the necessary details, and I'll be happy to help you find the 90% confidence interval.

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Answer:34

Step-by-step explanation:

The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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Answer:

7 hours and 30 minutes

Step-by-step explanation:

\(240 \div 4 = 60km \: per \: h\)

\(450 \div 60 = 7.5 = 7h \: 30min\)

It will take motor bike 7.5 hours to cover 450 Km of distance.

Speed of a body is defined as the distance travelled by it per unit time taken to cover the distance.

Mathematically-

S = Δd/Δt  or   S = {d(2) - d(1)}/{t(2) - t(1)}

It is a scalar quantity as it only has magnitude and no direction.

Given is a motor bike travels 240 km ins 4 hours.

We can calculate the speed of the bike as -

s = 240/4 = 60 Km/hr

Then, the time taken to cover 450 Km will be -

t = 450/60

t = 7.5 hours

Therefore, it will take motor bike 7.5 hours to cover 450 Km of distance.

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Answer:

C

Step-by-step explanation:

Did it on Edge

Answer:

C

Step-by-step explanation:

Geometry E2020!! :3

The probability that the family will have three children of the same gender is 1/4 or 25%.

To calculate the probability of having three children of the same gender, we can consider the possible outcomes for each child's gender.

Since the probability of having a boy or a girl is equal (assuming a 50% chance for each), we have two possible outcomes for each child: boy (B) or girl (G).

The total number of possible outcomes for the three children is 2 * 2 * 2 = 8, as each child has two possible genders.

Now, let's calculate the number of favorable outcomes where all three children have the same gender.

If they have all boys (BBB), there is only one favorable outcome.

If they have all girls (GGG), there is also only one favorable outcome.

Therefore, the total number of favorable outcomes is 1 + 1 = 2.

The probability of having three children of the same gender is then 2 favorable outcomes out of 8 possible outcomes, which can be expressed as 2/8 or simplified to 1/4.

So, the probability that the family will have three children of the same gender is 1/4 or 25%.

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To make the augmented matrix correspond to a consistent system, we need to ensure that the third row is a linear combination of the first two rows. Let's denote the entries in the third row as a, b, and c, respectively. Then, the equation involving g, h, and k that makes the matrix consistent is:

-4g + 3h + 5k = a

7g - 5h - 9k = b

In a consistent system, all rows of the augmented matrix must be linearly dependent. This means that the third row should be a linear combination of the first two rows. By equating the corresponding entries in the third row to variables, we can find an equation involving g, h, and k that satisfies this condition.

In the given augmented matrix, the third row is represented by the variables g, h, and k. We denote the entries in the third row as a, b, and c, respectively. To create a consistent system, we need to find a relationship between these variables and the entries in the first two rows.

By comparing the entries in the first and second columns, we can set up the following equations:

-4g + 3h + 5k = a (equation 1)

7g - 5h - 9k = b (equation 2)

These equations ensure that the augmented matrix corresponds to a consistent system. If we substitute the values of g, h, and k into equations 1 and 2, the resulting values in the third row will satisfy the entries a and b, respectively.

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Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers

When there is a multiplication between a term with parenthesis and another term we apply the distributive property:

It says that the parenthesis indicates that the term outside will multiply each of the terms inside it.

For the first parethesis:

- 3(2x + 4) = (-3) · 2x + (-3) · 4

since

(-3) · 2x = -6x

(-3) · 4 = -12

then

- 3(2x + 4) = (-3) · 2x + (-3) · 4

- 3(2x + 4) = -6 x - 12

For the second

– (2x + 4) ​= – 1 (2x + 4)

= ​(-1) · 2x + (-1) · 4

=-2x -4

We can see in this case that both parenthesis are the same, then it is the common factor of - 3(2x + 4) and – (2x + 4) ​,

We can factor it by separating it of each term and letting the remaining terms inside a parenthesis

- 3(2x + 4) – (2x + 4) ​= (2x + 4) ( -3 -1)

= (2x + 4) ( -4)

= -4 (2x + 4)

Answer:

See attached.

Step-by-step explanation:

The table is as shown

White paints {cups}   Red paints{cups}

4                                       3

2                                       1

1                                       0

5                                      4

5                                      4

The white paint mixes with the red paint is the ratio of 4 is to 3 in that every 4 cups of white paints is mixed with 3 cups of red paints.

Answer:

This gives us a pair of simple equations:

100percent =150(1). xpercent =114(2).

therefore, 114 is 76percent of 150

Step-by-step explanat:

Answer:

Here are your answers! :)

Step-by-step explanation:

15) -21

16) -11

17) 26

18) 23

19) -32

20) -20

21) 65

22) 420

23) 16

24) -13

25) 20

(I hope this helps!!)

Answer:

1/6

Step-by-step explanation:

1- 1/2 = 1/2

1/2- 1/3 = 1/6

The fractional part which left after eat half and then one third of rest is 1/3.

Fraction:

Fraction is mathematical representation of any number that distribute over some numbers

Ex: 3/7 represent 3 is distributed in 7 equally parts.

One friend is eat 1/2 of the dessert

then rest part will be = 1 - 1/2 = 1/2

Now second friend eat one third of 1/2

that is 1/3*1/2 = 1/6 eats

Then the remaining part is

1/2 - 1/6 = 2/6 = 1/3

Hence the final answer is 1/3

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Answer: The exact distance between the 2 points is √2, but the approximate distance is 1.41421356 (repeating decimal)

Hope this helped :D

The first graph shows how many of each order could fit into a bag that was hanging from a hook. First, a detailed explanation: * Let's discuss the issue's solution.

The quantity of orders of paperclips is x, and the weight of the order of jumbo paperclips is 2 pounds. The order of paperclips weighs 2 x = 2 x, the order of packing tape weighs 3 lbs., and the quantity of orders of packing tape is y. The weight of the tape order is 3 y = 3 y, the weight of the entire order is 2 x + 3 y, and the hook can only support a maximum weight of 6 y. 2x + 3y ≤ 6

The graph that depicts this inequality, Any line's equation is y = mx + c, where m represents its slope.

The y-intercept indicates to replace x in the equation by 0; the x-intercept indicates to replace y in the equation by 0; 2x - 3y 6 is the inequality. 2x + 3y = 6 is the equation for the line.

- Subtract 2x from both sides: 3y = 6 - 2x; - Divide both sides by 3: y = 6/3 - 2/3 x; - Locate the y-intercept: x = 0; y = 2;

The line crosses the y-axis at position (0 , 2)

– Locate the x-intercept.

∵ y = 0

∴ 0 = 2 - 2/3 x

- Adjust both sides by 2/3x.

∴ 2/3 x = 2

Increase both sides by 3.

Divide all sides by 2 to get the answer.

∴ x = 3

The line crosses the x-axis at position (3 , 0)

First and second from the figure.

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El porcentaje es la forma de expresar un número como una fracción que tiene como denominador el número 100, conocido también, como tanto por ciento. También es un símbolo que significa una fracción de cien, que su símbolo es % que se lee tanto por ciento.

The missing statement are:

The essential difference between a worm and a virus is that a worm is a standalone program that can spread and replicate itself over a network without needing a host program. A virus, on the other hand, is a malicious code that attaches itself to a host program and requires the execution of the host program to spread.

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The total amount accumulated from the deposits by Bob's 41st birthday is approximately $24,409.16.

When Bob retires on his 65th birthday, the approximate amount in his IRA will be $144,679.61.

To calculate the amount in Bob's IRA when he retires on his 65th birthday, we need to consider the periodic deposits made from his 24th birthday to his 41st birthday and the subsequent compounding interest until his retirement.

Given:

Bob makes equal deposits of $900 annually from his 24th to 41st birthday (a total of 18 deposits).

The interest rate is 8.1% compounded annually.

First, let's calculate the total amount accumulated from the annual deposits until Bob's 41st birthday. We can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV = Future Value

P = Payment (deposit amount)

r = Interest rate per period

n = Number of periods

Using the given values:

P = $900

r = 8.1% or 0.081 (converted to decimal)

n = 18

FV = 900 * ((1 + 0.081)^18 - 1) / 0.081

≈ $24,409.16

So, the total amount accumulated from the deposits by Bob's 41st birthday is approximately $24,409.16.

Next, we need to calculate the future value of this amount from Bob's 41st birthday to his retirement at age 65. We can use the formula for compound interest:

FV = PV * (1 + r)^n

Where:

FV = Future Value

PV = Present Value (the accumulated amount from the deposits)

r = Interest rate per period

n = Number of periods

Using the given values:

PV = $24,409.16

r = 8.1% or 0.081 (converted to decimal)

n = 65 - 41 = 24 (the number of years from age 41 to 65)

FV = 24,409.16 * (1 + 0.081)^24

≈ $144,679.61

Therefore, when Bob retires on his 65th birthday, the approximate amount in his IRA will be $144,679.61.

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Answer:

C

Step-by-step explanation:

For a rectangular prism, the

The sale price of the oil change after the discount can be found to be $25.50.

When given a discount, the selling price of an item is found by the formula:

= Price of item before discount - Discount

The discount on the oil change, given the price of the oil change and the coupon is:

= Price of oil change x Coupon rate

= 30 x 15%

= $4.50

The sale price after the oil change is:

= Price of oil change before discount - discount

= 30 - 4.50

= $25. 50

The first part of the question is:

An oil change at city auto is regularly $30. Mr Allen has a coupon for 15% off.

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Answer:

The slopes of both are m=6

Length of AB=6.082

Length of the image: 3.5 * 6.082 = 21.287

Answer:

Step-by-step explanation: