how do simplify -15.6/-4

Answer:

this can be solved by simple unitary method

\(time \: taken \: to \: remove \: \frac{5}{9} \: tons \: of \: dirt \: = 1 \: hr \\ time \: taken \: to \: remove \: \frac{31}{6} \: tons \: of \: dirt \: = \frac{31}{6} \times \frac{9}{5} \: hr \\ = \frac{93}{10}hr \\ = 9 \times \frac{3}{10} hr\)

Given:

The average sale of a house decreased from $333,000 in February 2008 to $188,000 in February 2013.

Required:

To find the absolute change and the relative change.

Explanation:

The absolute change is

The relative change is

Final Answer:

Absolute change = -145,000

Relative change = -43.54%

Answer:

A

Step-by-step explanation:

logarithmic= log

The only one with log in it is A

From the given set of equation Y = log3x is a logarithmic function.

" Logarithmic function is defined as the function which represents the inverse of the exponential function."

Exponential function expressed as

\(y = a^{x}\)

According to the question,

Given functions ,

      So Y is equals to logarithmic function of 3x.

      \(Y = log_{10} 3x\\\\\implies3x = 10^{y}\)

It's inverse is exponential function

It is a correct answer.

Can not be expressed in exponential form.

All these are not logarithmic function.

Hence, Y = log3x is  a logarithmic function.

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We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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Answer:

the bin 60-69 contain the most data values

Answer:

third option is the right one

Step-by-step explanation:

The cost of polishing the floor of the square hall is ₹2343.75

The Side of Square Hall = 12.5 m

The cost of polishing the floor per meter sq. = ₹ 15

We have to find the cost of polishing the floor.

First we will calculate the area of floor of the square hall.

Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units, with the standard unit being square meters (\(m^{2}\)).

Area of square=\((12.5)^2\)

Area of square =\(12.5 \times 12.5\)

Area of square =156.25

The area of the floor of Square Hall is 156.25 \(\mathrm{~m}^2$\)

Per square meter cost of polishing the floor is ₹15,

To find the cost of polishing the floor of the square hall of area 156.25 sq. m, simply multiply 15 by the area of the floor of the square hall.

Therefore, the cost of polishing,

=15×156025

=2343.75

Therefore, the cost of polishing is ₹2343.75.

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Find the cost of polishing the floor of a square hall at the rate of 15 per meter sq, if each side of the hall is 12.5 m.​

The factorized form of 2y² - 5y + 2 is (2y - 1) (y - 2)

Given:

= 2y² - 4y - y + 2

= 2y(y - 2) - 1(y - 2)

= (2y - 1) (y - 2)

= 5x² - 5x + 7x - 7

= 5x(x - 1) + 7(x - 1)

= (5x + 7) (x - 1)

5x² + 2x - 7 = 0

5x² - 5x + 7x - 7 = 0

5x(x - 1) + 7(x - 1) = 0

(5x + 7) (x - 1) = 0

5x + 7 = 0 or x - 1 = 0

5x = - 7 or x = 1

x = -7/5 or x = 1

Therefore, the value of x for which 5x² + 2x - 7 = 0 is -7/5 or 1

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Answer:

Question 9: Likely

Question 10: Rolling a six-sided die

Question 11: 64%

Question 12: one third

Step-by-step explanation:

17  is the value of discriminant for quadratic equation.

What in mathematics is a quadratic equation?

A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.

                               The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.

General form of a quadratic equation is

ax² + bx + c = 0

The Discriminant of the quadratic equation is denoted by D and defined as

D = b² - 4ac

The given Quadratic equation is

√2x² - 5x + √2 = 0

Comparing with the general equation of quadratic equation ax² + bx + c = 0 we get

a = √2 , b = - 5 , c = √2

Value of Discriminant

      = b² - 4ac

      = (-5)² - 4 * √2 * √2

       = 25 - 8

       = 17      

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Answer:

A. x+y=16; 2x+3y=39

Step-by-step explanation:

The total number of shots made is the amount of 2 points and 3 point shots made. The amount of points is the number of 2 point shots made (x) times 2 and the amount of 3 point shots made (y) times 3. So A is the answer

Answer:

Answer is 39 Hope you did well on your work

Solution :

Given : \($T(x)=7-9(x-2)^2-3(x-2)^3$\)

a). f(2) = T(2) = 7

    \($\frac{f""(2)}{2!} =-9$\)  , so f''(2) = \($-18$\)

b).  Yes, since f'(2) = T'(2) \($=$\) 0, \($f$\) does have the critical point at \($x=2.$\)

   Since f''(2) = \($-18$\) < 0, \($f(2)$\) is relative maximum value.

c).  \($f(0)=T(0)=-5$\)

   It is also not possible for determining if \($f$\) has a critical point at x = 0 because \($T(x)$\)   gives exact information only at \($x=2.$\)

d). The Lagrange \($\text{error}$\) bound \($=\frac{6}{4!}|0-2|^4= 4$\)

     \($f(0) \leq T(0)+4 = -1$\)

     Therefore, \($f(0)$\) is negative.

Answer:

Increasing→ 0-20 minutes

Constant→ 20-35 minutes

Decreasing→ 35-50 minutes

After 15 minutes, he travelled 500 meters.

Answer:

1. Time

0 - 20 minutes INCREASING

20 - 35 minutes CONSTANT

35 - 50 minutes DECREASING

2. After 15 minutes he travelled = 500 meters.

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Answer:

Here is your answer C

Step-by-step explanation:

Answer:4/7

Step-by-step explanation: The question isn't very clear, so I just did 1/2 divided by 7/8

We have

Using the associative, commutative, and distributive laws for sum and multiplication, we can see without computing that

A. 81*(59 +37) ----- same values

B. (81.*37) + 59 ------ incorrect

C. (81*37) + (81* 59) ---- same values

D. 81 + (37*59) ---- incorrect

E. (37 + 59)*81 ---- same values

Answer:

She had 5 slices left over

Step-by-step explanation:

8 times 4 is 32 so then subtract 27 and you get 5

The errors that may have occurred in the student's measurements are random errors. These types of errors can arise from various sources, such as slight variations in measurement techniques or environmental factors.

Since the measured values are slightly different, it suggests that random errors affected the measurements rather than systematic errors, which would result in consistently incorrect measurements.

To minimize the impact of random errors during data analysis, the student can calculate the average of the three measured values. The average value can serve as the best estimate of the true value of the mass of the rock. Additionally, the student can calculate the standard deviation of the measured values to determine the precision of the measurements. The smaller the standard deviation, the more precise the measurements.

The student can further minimize random errors by taking multiple measurements and averaging them to obtain a more accurate value. Additionally, using a digital balance instead of an analog one may reduce random errors as digital balances have greater precision and accuracy.

It is also important for the student to use proper measurement techniques such as ensuring that the balance is calibrated and zeroed correctly before each measurement. The student should also avoid applying excessive force on the balance and ensure that the rock is stable and level during measurement.

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Answer:

Volume = 261.8 cm³

Surface area = 254.2 cm²

Step-by-step explanation:

To calculate the volume of the cone, we have to use the following formula:

\(\boxed{V = \frac{1}{3} \pi r^2 h}\),

where:

V ⇒ volume

r ⇒ radius = 5 cm

h ⇒ height = 10 cm

Using the above formula and the provided measures, we get:

V = \(\frac{1}{3}\) × π × (5)² × 10

    = \(\frac{1}{3}\) × π × 25 × 10

      = 261.8 cm³

In order to calculate the surface area of the cone, we have to use the following formula:

\(\boxed{SA = \pi r^2 + \pi r l}\)

where:

SA ⇒ surface area

r ⇒ radius = 5 cm

l ⇒ slant length = \(\sqrt{r^2+h^2}\) = \(\sqrt{5^2+10^2}\) = 5√5 cm

Using the formula,

SA = π × (5)² + π × 5 × 5√5

     = π × 25 + π × 25√5

     = 254.2 cm²

Answer:

y = -(1/7)x+2

Step-by-step explanation:

A slope-intercept form is y = mx + b, where m is the slope and b the y-intercept (the value of y when x=0).

We're given the slope:  m = -(1/7):

y = -(1/7)x + b

We can use the given point, (0,2) in this equation and solve for b:

y = -(1/7)x + b

2 = -(1/7)*(0) + b

b = 2

The equation becomes y = -(1/7)x + 0

y = -(1/7)x+2

Omar’s estimate of between 580 and 820 blue marbles in the jar is right based on information he gathered from his four samples of 200 marbles.

By taking these random samples, Omar was able to calculate the ratio of blue marbles in each sample. He then used the smallest ratio (58/200) and the largest ratio (82/200) to estimate the range of blue marbles in the jar.

It’s important to note that Omar’s estimate is not exact, as he did not count every single marble in the jar. However, his estimate provides a reasonable range of blue marbles in the jar based on the information he collected.

Additionally, it’s important to consider the size of the jar and the distribution of marbles within it. If the jar is very large and the marbles are distributed evenly, then Omar’s estimate may be more accurate.

However, if the jar is small and the marbles are grouped together, then his estimate may not be as accurate.

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Answer:

a > b

Step-by-step explanation:

3 > -2

a > b

The probability that the person participates in at least one school-sponsored activity given that the student works part-time is 0.58.

The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability.

Assume that events A and B are two independent occurrences with probabilities P(A) and P(B), respectively, such that the probability that event B will occur given that event A is given by: P(B|A) = P(A∩B)/P (A)

Given:

Percentage of the students who have part-time jobs, P(A) = 73%

Percentage of the students who participate in at least one school-sponsored activity, P(B)= 65%

Percentage of the students who work part-time and participate in at least one school-sponsored activity, P(A∩B) = 42%

The probability that the person participates in at least one school-sponsored activity given that the student works part-time is:

P(B|A) = P(A∩B)/P(A)

          = 42/73

          = 0.58

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Answer:

0.575

Step-by-step explanation:

nice job

The selections in this scenario are dependent, but can be treated as independent for calculations if the sample size is less than 5% of the total population.

This is because once an individual is selected, they are no longer in the pool of potential selections for subsequent choices.

∴ The probability of selecting a certain individual changes with each selection.

However, the selected no.of adults 1235  are less than 5% of the total population (15,958,866), then the selections can be treated as independent for the purposes of calculations.

This is because the impact of the sample on the overall population is negligible, and any changes in probability after each selection are minimal.

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Answer:

20/29

Step-by-step explanation:

SOH CAH TOA

so its opposite/hyp...

20/29

is the answer