find the products (a+4)(a^2-5a+4)

Answer:

n = 12

Step-by-step explanation:

\(\frac{3}{13}\) = \(\frac{n}{52}\) ( cross- multiplying )

13n = 3 × 52 = 156 ( divide both sides by 13 )

n = 12

Answer:

12 seeds packets

Step-by-step explanation:

Answer:

12 bcuz he gets 1 flower from a.pack

We have to find the sum of 219 and 763 . So , let's proceed :-

\({:\implies \quad \sf 219+763}\)

\({:\implies \quad \sf (200+19)+(700+63)}\)

\({:\implies \quad \sf 200+19+700+63}\)

\({:\implies \quad \sf (200+700)+(19+63)}\)

\({:\implies \quad 900+82}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{982}}}\)

Hence , The required sum is 982 :D

Answer:

12.25

Step-by-step explanation:

3.5*3.5=12.25

Answer:

12.25m^2

Step-by-step explanation:

3 1/2 × 3 1/2

3 1/2 is equivalent to 7/2

7/2 × 7/2= 49/4

this simplifies to 12.25

answer: 12.25 m^2

Answer:

C. ∠10

Explanation:

A theorem states that the two angle that are in the same side and are opposite to each other, they add up to 180°, which is supplementary.

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

From the question, we have the following parameters that can be used in our computation:

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

Read more about fraction at

https://brainly.com/question/31896427

#SPJ1

Answer:

6 ft - 2 in

To convert ft into inches, multiply the amount of ft by 12.

6 * 12 = 72

72 in - 2 in

To find a the scale, make a ratio

72:2

This scale can also be made into 36:1 and 144:4 by simplifying

Hope this helped! \ ( O-o) /               :)

                                  /----\

The area of the drawing of the tabletop for this considered case is obtained being of 36 sq. cm

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

\(\rm 1\: ft : \dfrac{s}{k}\: in.\)

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

For this case, we're given that:

The tabletop is square, so would be its drawing.

Let the side of the original tabletop be 'a' inches, then:

Area of the tabletop:

\(a^2 = 1296\\a = \sqrt{1296} = 36\) inches.

Since each side of the tabletop is converted by the scale 6 in. to 1 cm in drawing, so we get converted side length of the tabletop in drawing as:

6 in -> 1 cm

36 inches = six times 6 inches -> six times 1 cm = 6 cm

Thus, in drawing, the tabletop has 6 cm sides.

Thus, its area is: \(6^2 = 36\) sq. cm

Thus, the area of the drawing of the tabletop for this considered case is obtained being of 36 sq. cm

Learn more about scale factors here :

https://brainly.com/question/8765466

Answer:

43565?

what kind of math is this?

Step-by-step explanation:

Answer:

76970

Step-by-step explanation:

If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

To learn more about : pension fund

https://brainly.com/question/31531270

#SPJ8

The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

Learn more about the end behavior of function here:

brainly.com/question/11808280

#SPJ1

Answer:

x = -0.4

Step-by-step explanation:

We have the equation:

-9x + 0.4 = 4

First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:

\(-9x+0.4=4\\-9x+0.4-0.4=4-0.4\\-9x=3.6\)

Now, we have all the constants on the right side of the equation.

Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:

\(-9x=3.6\\\frac{-9x}{-9} =\frac{3.6}{-9} \\x=-0.4\)

Answer:

1.) Which operation must be performed to move all the constants to the right side of the equation?

✔ Subtract 0.4 (C)

2.) Then, which operation must be performed to isolate the variable?

✔ Divide by -9 on both sides.  (D)

3.) The solution to the equation is x =

✔ -0.4   (B)

Step-by-step explanation:

I hope this helps!! Have a wonderful day!! :))

Answer:

hey  welcome to Brainly, and 2 + 2 = 4

Step-by-step explanation:

2+2=4

3+3=6

4+4=8

5+5=10

and so on just keep adding 2

Answer:

X = 6. Give brainliest

Step-by-step explanation:

Solution:

x² - 36 = 0

or x² = 36

or x² = 6²

Therefore, the value of x is 6.

Answer:

x^2-36=0

x^2-36+36=0+36

x^2=36

x=√(36),x=-√(36)

√(36) → 6

-√(36) → -6

x=6,x=-6

Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.

Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.

Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).

Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.

To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:

t = (82-72) / (9.89 / sqrt(10)) = 3.19

Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.

learn more more about Null hypothesis: https://brainly.com/question/13045159

#SPJ1

Given the percentage 17.5%

We will write it as a fraction as follows:

So, the answer will be 7/40

Step-by-step explanation:

everything can be found in the picture

Answer:

\(\textsf{1)} \quad f(2)=2\)

\(\textsf{2)} \quad 2f(x)=2x^2-2x\)

\(\textsf{3)} \quad f(2+h)=h^2+3h+2\)

\(\textsf{4)} \quad f(x+h)=x^2+2hx-x+h^2-h\)

Step-by-step explanation:

Given function:

\(f(x)=x^2-x\)

Question 1

To find f(2) substitute x = 2 into the given function:

\(\begin{aligned}\implies f(2) & = (2)^2-2\\& = 4-2\\& = 2\end{aligned}\)

Question 2

To find 2f(x) multiply the given function by 2:

\(\begin{aligned}\implies 2f(x) & = 2(x^2-x)\\& = 2x^2-2x\end{aligned}\)

Question 3

To find f(2 + h) substitute x = 2 + h into the given function:

\(\begin{aligned}\implies f(2+h) & = (2+h)^2-(2+h)\\& = (2+h)(2+h)-2-h\\& = 4+4h+h^2-2-h\\ & = h^2+4h-h+4-2\\& = h^2+3h+2\end{aligned}\)

Question 4

To find f(x + h) substitute x = x + h into the given function:

\(\begin{aligned}\implies f(x+h) & = (x+h)^2-(x+h)\\& = (x+h)(x+h)-x-h\\& = x^2+2hx+h^2-x-h\\& = x^2+2hx-x+h^2-h\end{aligned}\)

Answer: YES

Step-by-step explanation: both equal 5 when divided.

Answer:

You will need 3 \(\frac{11}{15}\) cups of sugar.

Step-by-step explanation:

1 1/3 x 2 4/5

another name for 1 is 3/3

3/3 + 1/3 = 4/3

Another name for 1 is 5/5

5/5 + 5/5 + 4/5 = 14/5

\(\frac{4}{3 }\) x \(\frac{14}{5}\) = \(\frac{56}{15}\)

I can break 56 into 15 + 15 + 15 + 11

\(\frac{15}{15}\) + \(\frac{15}{15}\) + \(\frac{15}{15}\) + \(\frac{11}{15}\)  another name for \(\frac{15}{15}\) is 1

1 + 1 + 1 + \(\frac{11}{15}\)

3 \(\frac{11}{15}\)

The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

y - (-2) = (-1/5)(x - 1)

Simplifying:

y + 2 = (-1/5)(x - 1)

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

y + 2 = (-1/5)x + 1/5

Subtracting 2 from both sides:

y = (-1/5)x + 1/5 - 2

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

For more question on perpendicular visit:

https://brainly.com/question/1202004

#SPJ8

Answer:

x / 22 ≤ 6

Step-by-step explanation:

Given that :

Maximum number of pages readable per day = 22

Number of days left = 6

The book which can be completed within 6 days or fewer:

Number of readable pages per day :

(Total number of pages / maximum number of pages readable per day) ≤ number of days left

Hence, the inequality can be represented mathematically as :

x / 22 ≤ 6

বোকাচোদার মাদারচোত বোকাচোদার

Answer:

90 ft

Step-by-step explanation:

Answer:

1\/48 (24 x - 25)^2 - 49\/48

x (12 x - 25) + 12

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

To find f(f^-1(-1/2)), we need to first find the inverse of f, which is denoted as f^-1. The inverse of a function f is another function that undoes the effect of f. In other words, if y = f(x), then x = f^-1(y).

The inverse of f is given by:

f^-1(y) = (y - 5) / 2

Now we can substitute -1/2 for y in this expression to find f^-1(-1/2):

f^-1(-1/2) = (-1/2 - 5) / 2

f^-1(-1/2) = (-11/2) / 2

f^-1(-1/2) = -11/4

Now that we have found f^-1(-1/2), we can substitute this value into the original function f to find f(f^-1(-1/2)):

f(f^-1(-1/2)) = f(-11/4)

f(f^-1(-1/2)) = 2(-11/4) + 5

f(f^-1(-1/2)) = -11/2 + 5

f(f^-1(-1/2)) = -1/2

Therefore, f(f^-1(-1/2)) = -1/2

Answer:

C

Step-by-step explanation:

Given

(3x + 7)(2x - 6)

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

3x(2x - 6) + 7(2x - 6) ← distribute both parenthesis

= 6x² - 18x + 14x - 42 ← collect like terms

= 6x² - 4x - 42 → C

Answer: C

Step-by-step explanation: I have brain and paper and pencil.

Answer:

( \(\frac{20}{7}\), - \(\frac{12}{7}\) )

Step-by-step explanation:

4x - 5y = 20 → (1)

2x + y = 4 → (2)

subtract 2x fro both sides in (2)

y = 4 - 2x → (3)

substitute y = 4 - 2x into (1)

4x - 5(4 - 2x) = 20 ( distribute parenthesis and simplify left side )

4x - 20 + 10x = 20

14x - 20 = 20 ( add 20 to both sides )

14x = 40 ( divide both sides by 14 )

x = \(\frac{40}{14}\) = \(\frac{20}{7}\)

substitute this value into (3)

y = 4 - 2(\(\frac{20}{7}\) ) = \(\frac{28}{7}\) - \(\frac{40}{7}\) = - \(\frac{12}{7}\)

solution is ( \(\frac{20}{7}\) , - \(\frac{12}{7}\) )

The application of the distributive property let us transform a multiplication in a sum (or substraction):

In this case, the factor a is distributed in two terms, multiplying the terms b and c.