What is the gradient of the graph shown?Give your answer in its simplest form.
BTW this is gradient on a line segment. Thank you​

Answer:

180

Step-by-step explanation:

225 X .80 (100%-20%)

Answer:

\(x=-9, \quad x=\dfrac{1}{4}\)

Step-by-step explanation:

Given function:

\(f(x)=(4x-1)(x+9)\)

The roots of a function are the x-values for which the function equals zero.  Therefore, to find the roots, set the function to zero and solve for x.

Set the function to zero:

\(\implies f(x)=0\)

\(\implies (4x-1)(x+9)=0\)

Zero Product Property

If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Apply the zero product property:

\((4x-1)=0 \implies x=\dfrac{1}{4}\)

\((x+9)=0 \implies x=-9\)

Therefore, the roots of the given function are:

\(x=-9, \quad x=\dfrac{1}{4}\)

Answer: The value of x is 20.

Algebraic function :

Given function is,  

We have to find the value of x when

The value of x is 20.

Step-by-step explanation: hope this helps

Using the Pythagorean Theorem, it is found that:

a) The hypotenuse is of 9.49 cm.

b) The new area of the triangle is of 30 cm².

The Pythagorean Theorem relates the length of the legs \(l_1\) and \(l_2\) of a right triangle with the length of the hypotenuse h, according to the following equation:

\(h^2 = l_1^2 + l_2^2\)

For this problem, the sides are given as follows:

3 cm and 9 cm.

Hence the hypotenuse is given by:

h² = 3² + 9²

h = sqrt(3² + 9²)

h = 9.49 cm.

The hypotenuse is of 9.49 cm.

The area of a right triangle of sides a and b is given by half the multiplication of the sides, as follows:

A = 0.5ab.

For this problem, we have that:

Then:

A = 0.5 x 5 x 12 = 30 cm².

The new area of the triangle is of 30 cm².

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The figure depicts right triangles within a rectangle. In order to complete the statements correctly, we need to analyze the relationships between the sides of the triangles and the sides of the rectangle.

In the figure, the right triangles are formed by drawing diagonal lines inside the rectangle. Let's consider the statements one by one:

The hypotenuse of each right triangle is a side of the rectangle: This statement is true. In a right triangle, the hypotenuse is the longest side and it coincides with one of the sides of the rectangle.

The area of each right triangle is half the area of the rectangle: This statement is true. The area of a right triangle can be calculated using the formula A = (1/2) * base * height. Since the base and height of each right triangle correspond to the sides of the rectangle, the area of each right triangle is half the area of the rectangle.

The sum of the areas of the right triangles is equal to the area of the rectangle: This statement is true. Since each right triangle's area is half the area of the rectangle, the sum of the areas of all the right triangles will be equal to the area of the rectangle.

By understanding the properties of right triangles and rectangles, we can correctly complete the statements in the given figure.

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The required sample size is 907.

We have,

To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p  (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)

Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92

Since we need to round up to the next integer, the required sample size is 907.

Thus,

The required sample size is 907.

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Answer:

A.  (x · 60) + (x · 5)

Step-by-step explanation:

Answer:

A. (x · 60) + (x ·5)

Step-by-step explanation:

Equation A is simplified to 65x, which is equivalent to x ·65.

Equation B is simplified to 11x.

Equation C is simplified to x + 30.

Equation D is simplified to 6x+5.

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

31.5 cm

Step-by-step explanation:

scale of an architecture is ratio of size of drawing to size of actual object.

Given size of football field is 160 feet by 360 feet

Given that on map shortest side is 14

since value of shortest side is 160 feet

then

scale defined for this football filed will be

scale = size of shortest side on model/size of shortest side of actual football field

scale = 14/160

Given that scale will remain same for longer side as

14/160= size of longer side on model/size of longer side of actual

14/160 =  size of longer side on model/360

thus,

size of longer side on model = (14/160) * 360

size of longer side on model = 14*360/160 = 31.5

Thus, the other side of model that is longer side is 31.5 cm

Answer:

-9x-8/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

If S is the midpoint of R and S and the coordinate R(-9, 4) and S(2, -1), we are to find T.

Usimg the midpoint formula;

\(M(X, Y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\ where; X = \frac{x_1+x_2}{2}\\Y = \frac{y_1+y_2}{2}\)

Given \(x_1 = -9, y_1 = 4, X = s \ and \ Y = -1\), to get the other coordinate T (x2, y2), we will use the formula above as shown;

\(X = \frac{x_1+x_2}{2}\\2 = \frac{-9+x_2}{2}\\cross \ multiply\\2*2 = -9+x_2\\4 = -9+x_2\\x_2 = 4+9\\ x_2 = 13\)

Similarly to get y2;

Y = y1+y2/6

-1 = 4+y2/2

cross multiply

-1*2 = 4+y2

-2 = 4+y2

y2 = -2-4

y2 = -6

Hence the coordinate T is (13, -6)

Given the angle:

253 degrees

Let's find the reference angle to the given angle for a rotation.

The given angle, 253 degrees, is in quadrant 3.

To find the reference angle of ang angle in quadrant 3, we have:

Hence, we have:

Therefore, the reference angle is 73 degrees.

ANSWER:

73°

The required inequality describes for the given problem is  x < 8.5.

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

she used 3.5 pounds of the wax to make vanilla-scented candles and has less than 5 pounds of wax left to make orange-scented candles.

let x represent the weight of the block of wax originally

then,inequality can be written as,

x - 3.5 < 5

x < 8.5

Thus, required inequality is x < 8.5.

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Answer:

B. 2 and 4 minutes

Step-by-step explanation:

Between 2 and 4 minutes on the graph on the x axis, Ms Collin's driving speed was 50 m/h

Answer:

2.75

Step-by-step explanation:

How to Find Unit Rate? In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.

CenterWare's direct labor rate variance is $2,100 unfavorable, indicating that the actual rate paid for labor was higher than the standard rate. The direct labor efficiency variance is $2,500 favorable, suggesting that the company achieved higher productivity than expected. The total variance for direct labor is $400 favorable.

To compute the direct labor rate variance, we need to calculate the difference between the actual rate and the standard rate, and then multiply it by the actual hours worked. The formula for the rate variance is (Actual Rate - Standard Rate) × Actual Hours. In this case, the standard rate is $21.00 per hour, and the actual rate is $18.00 per hour. The actual hours worked are 2,500 DLH. Plugging in these values, we find the direct labor rate variance to be ($18.00 - $21.00) × 2,500 = -$7,500, indicating an unfavourable variance.

To calculate the direct labor efficiency variance, we need to find the difference between the actual hours worked and the standard hours allowed, and then multiply it by the standard rate. The formula for the efficiency variance is (Actual Hours - Standard Hours) × Standard Rate. The standard hours allowed are 2,000 DLH (1,000 pots × 2.0 hours per pot). Substituting the values, we get (2,500 - 2,000) × $21.00 = $10,500, indicating a favorable variance.

The total variance for direct labor is the sum of the rate variance and the efficiency variance. In this case, the total variance is -$7,500 + $10,500 = $3,000, which is favorable, indicating that the company performed better than expected in terms of labor cost and efficiency.

The responsibility for the rate variance generally lies with the purchasing department, as they are responsible for negotiating labor rates and purchasing materials at the standard price. The efficiency variance is typically the responsibility of the production department, as they are accountable for achieving the standard labor hours and maximizing productivity.

The rate variance reflects the difference between the actual rate paid for labor and the standard rate. An unfavorable rate variance suggests that the company paid more for labor than anticipated, which could be due to factors like higher wages or inefficient labor management. Conversely, a favorable rate variance would indicate cost savings in labor.

The efficiency variance measures the productivity of labor and represents the difference between the actual hours worked and the standard hours allowed. A favorable efficiency variance implies that the company achieved higher productivity or used fewer labor hours than expected. It could result from factors such as skilled and efficient labor, improved production processes, or effective workforce management.

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Answer:

d I think is right sorry If it's not

Answer: A. \(\left[\begin{array}{ccc}29&13\\13&10\\\end{array}\right]\)

Step-by-step explanation:

The question is asking us to find the product of the matrices. The key difference is the second A has a little T in the exponent. This T means transpose. You multiply A by the transpose of A. To find the transpose, you turn the rows into columns.

\(A^T=\left[\begin{array}{ccc}5&3\\2&-1\\\end{array}\right]\)

Now that we have our transpose, we can multiply the matrices.

\(\left[\begin{array}{ccc}5&2\\3&-1\\\end{array}\right] \left[\begin{array}{ccc}5&3\\2&-1\\\end{array}\right] =\left[\begin{array}{ccc}5*5+2*2&5*3+2(-1)\\3*5+2(-1)&3*3+(-1)(-1)\\\end{array}\right] =\left[\begin{array}{ccc}29&13\\13&10\\\end{array}\right]\)

The variance for the data is  17,507. 5.

Given

The weekly salaries of a sample of employees at the local bank are given in the table below.

Employee Weekly Salary Anja $245 Raz $300 Natalie $325 Mic $465 Paul $100.

Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.

The mean value of the salaries of employees is;

\(\rm Mean= \dfrac{245+300+325+465+100}{5}\\\\Mean=287\)

The variance is given by;

\(\rm Variance=\sqrt{\dfrac{(245-287)^2 +(300-287)^2 +(325-287)^2 +(465-287)^2 +(100-287)^2}{5-2}} \\\\Variance = 132.316}\\\\On \ Squaring \ both \ the \ sides\\\\Variance^2=17,507. 5\)

Hence, the variance for the data is  17,507. 5.

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Answer:

17,507.5

Step-by-step explanation:

The answer above is correct.

Answer: 40 degrees

Step-by-step explanation:

Answer:

y = ± [ √(x+4) ] / 3

Step-by-step explanation:

1) To find the inverse of the function y = 9x2 – 4, exchange the variables x and y, and then solve for the new y.

2) Exchange of the variables: y = 9x^2 – 4 → x = 9y^2 – 4

3) Solve for y:

=> 9y^2 = x + 4

=> y^2=> y = ± [ √(x + 4) ] / 9

= > y = ± [ √(x + 4) ] / 3

Answer:

The figure is trapizium so opposite sides are suplementary which is their sum =180

112° + x = 180°

x = 180° - 112° =68°

Hope it is correct !

Answer:

3

Step-by-step explanation:

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Answer:

3

Step-by-step explanation:

To divide by a fraction, multiply by the reciprocal of that fraction

1/3×9/1

then we reduce the numbers ( 3 and 9)

then the answers comes as 3

Answer:

x = 3

Step-by-step explanation:

4x + 4 = 16

4x = 16 - 4

4x = 12|:4

x = 3

Answer:

4x+4=16

4x=16-4

4x=12

x=3

It is true that the binomial x + 1 is a factor of the polynomial P(x) = 5x^2 + 11x + 6

From the question, the given parameters are

Start by setting the binomial to 0

So, we have

x + 1 = 0

Solve for x in the above equation

x = -1

Substitute -1 for x in the polynomial equation P(x) = 5x^2 + 11x + 6

P(-1) = 5(-1)^2 + 11(-1) + 6

Evaluate

P(-1) = 0

Because P(-1) equals 0, then the binomial is a factor of the polynomial

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