-16 x 3/4 =

A. -12
B. 1/2
C. -1/12
D. 12

Answer:

x² - 8x + 16

Step-by-step explanation:

Step 1: Write out expression

(x - 4)²

Step 2: Expand

(x - 4)(x - 4)

Step 3: FOIL

x² - 4x - 4x + 16

Step 4: Combine like terms

x² - 8x + 16

Answer:

First derivative the equation

39x²-318x-412=0

then use the quadratic formula

then x = 9.29 or x = -1.14

The equation of the given function will be h=-0.096x+30.6. The mass will be 63.5 grams.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

1.) The slope of the given function will be,

Slope = (25.8 - 30.6) / (50 - 0) = -4.8/50 = -0.096

Now, substitute the values in the general linear equation,

h = -0.096x + c

30.6 = -0.096(0) + c

c = 30.6

Therefore, the equation of the given function will be h=-0.096x+30.6.

2.) Mass when the height is given as 24.5 cm, will be,

h = -0.096x + 30.6

24.5 = -0.096x + 30.6

24.5 - 30.6 = -0.096x

-6.1 = -0.096x

x = -6.1/-0.096

x = 63.5

Hence, the mass will be 63.5 grams.

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A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

Straight

Step-by-step explanation:

If the angle is flat or 180 degrees, it is straight

If the angle is like an L or 90 degrees, it is right

If the angle is less than 90 degrees, it is acute

If the angle is more than 90 degrees, it is obtuse

Hope this helps!!

Answer:

IT is a straight angle because it is 180 degrees

Step-by-step explanation:

Answer: 60

Step-by-step explanation: multiply 4,7,and 5

She can select the bridesmaids' dress in 140 possible ways.

Permutation represents each of the several possible ways in which a set or number of things can be ordered or arranged.

Given is a bride who is choosing a dress for her bridesmaids which are available in 4 styles, 7 colors, and 5 fabrics.

Now, for every possible style there exist a dress for that color. So, with 4 styles and 7 colors, the total number of possible dresses will be = 7 x 4 = 28. Now, for these 28 dresses, their are 5 different fabric available, so the total number of possible ways or dresses from which she can select the dress are = 28 x 5 = 140

Therefore, she can select the bridesmaids' dress in 140 possible ways.

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The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

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Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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There are total 12 games of ping pong with play altogether by girls.

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Total number of girls who play ping pong game after school = 4

And, Each girl play 3 games of ping Pong with each of the other girls.

Now,

Since, Total number of girls = 4

And, Each girl play 3 games of ping Pong with each of the other girls after school.

Hence, Total number of games of ping pong game with play altogether by girls is;

= 4 x 3

= 12

Therefore,

There are total 12 games of ping pong game with play altogether by girls.

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Answer:

-3/5

Step-by-step explanation:

You move down 3 from the top point.

Then you move right to the bottom point.

The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.

We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.

(1/2) * Base * Height = Area

We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.

Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters

Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).

Using these values as a substitute in the formula, we obtain:

Area =\((1/2) * 54 * 56 = 1512\) square centimeters

centimetres square

It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.

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Answer: The number of baskets = (3n+1)/m

Step-by-step explanation:

The total number of apples picked:

yours (2n-3)  + your friend (n+4)

Divide the combined total by the number in one basket (m):

((2n-3)+(n+4))/m

Simplify:

(3n+1)/m

Answer:

Step-by-step explanation:

use the law of sine

sin 60°  = sin 45°      

 10               x

cross multiply:

x (sin 60) = 10 (sin 45)

x =  5 √2

     √3/2

answer:

x = 10 √6

       3

     or

x = 8.165

Answer:

A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.

Answer:

No

Step-by-step explanation:

2-3= -1

3-2 = 1

Answer:

Step-by-step explanation:

2x² + 6x - 5 = 0

D = 36 + 40 = 76 = (2√19)²

\(x_{1}\) = ( - 6 - 2√19) / 4 = ( - 3 - √19) / 2

\(x_{2}\) = ( - 3 + √19) / 2

Answer:

4(12+x) > 16

Hope it's helpful :p

Answer:

slope = \(-\frac{4}{3}\)  

Step-by-step explanation:

Use the slope formula, \(m = \frac{y_2-y_1}{x_2-x_1}\), to find the slope. \(m\) represents the slope. \(x_1\) and \(y_1\) represent the x and y values of one point, and \(x_2\) and \(y_2\) represent the x and y values of another point. So, substitute the x and y values of the points (-3, 4) and (0, 0) into the formula appropriately and solve:

\(m= \frac{(0)-(4)}{(0)-(-3)} \\m = \frac{0-4}{0+3} \\m = \frac{-4}{3}\)

Thus, the slope is \(-\frac{4}{3}\).

Perimeter meaning: the continuous line forming the boundary of a closed geometric figure.

side length: 15

perimeter: 368

The corresponding p-value is 0.147 rounded to three decimal places.

Now, For find the p-value, we need to use a t-distribution with (n - 1) degrees of freedom,

where n is the sample size.

Since n = 50,

Hence, we have;

n - 1 = 50 - 1 = 49 degrees of freedom.

Hence, Using a t-table or calculator with 49 degrees of freedom, we find that the p-value for a t-statistic of -1.07 is approximately 0.147.

Therefore, the corresponding p-value is 0.147 rounded to three decimal places.

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Answer:

x =  ±2

Step-by-step explanation:

3x^2-4=8

Add 4 to each side

3x^2-4+4=8+4

3x^2 = 12

Divide by 3

3x^2 /3 = 12/3

x^2 = 4

Take the square root of each side

sqrt(x^2) = ±sqrt(4)

x =  ±2

Answer:

\(x=\± 2\)

Step-by-step explanation:

\(3x^2-4=8\)

\(3x^2-4+4=8+4\)

\(3x^2=12\)

\(\displaystyle \frac{3x^2}{3}=\frac{12}{3}\)

\(x^2=4\)

\(x=\± \sqrt{4}\)

\(x=\± 2\)

The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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Answer:

(-3,+6) top left

(3,-6)bottom right

Recall that a relation is a function if for every value on the domain there is only one value on the range.

(a) Notice that for every value on the domain, there is only one value on the range:

For the value 0 in the domain, there is the value 5 in the range.

For the value 1 in the domain, there is the value 6 in the range.

For the value 2 in the domain, there is the value 7 in the range.

For the value 3 in the domain, there is the value 7 in the range.

Therefore the relation represented by the given graph in a) is a function.

(b) Notice that for the value 3 in the domain there are two values in the range, 6 and 7, therefore, the relation represented by the graph in b) is not a function.

Answer:

(a) Function.

(b) Not a function.

Answer: y = 129, x = 51

Step-by-step explanation:

angles 129 and y are corresponding, so they are equal to each other

y and x are supplementary

so, y + x = 180

x = 180 - y = 180 - 129 = 51

Answer:

I belive y has to be at least 133 because it's just a little bit longer than the 229 one.

And x is most likely to be 125 because if you line up 129 with x, x is should be a little smaller so x should be 125

The solutions are - X = [5 5; 5 -2] is a nonzero element in W and  Y = [1 1; 1 1] is the element in V that is not in W.

A nonzero element X in W can be any linear combination of the given basis vectors:

X = a[5 5; 5 -2] + b[5 -4; -4 1]

Where a and b are nonzero scalars. For example, X = [5 5; 5 -2] is a nonzero element in W.

An element Y in V that is not in W can be any symmetric 2x2 matrix that cannot be written as a linear combination of the given basis vectors. For example, Y = [1 1; 1 1] is not in W as it cannot be written as a linear combination of [5 5; 5 -2] and [5 -4; -4 1].

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The complete question is -

Let V be the vector space of symmetric 2 Times 2 matrices and W be the subspace W = span{[5 5; 5 -2], [5  -4; -4 1]}. Find a nonzero element X in W. Find an element Y in V that is not in W.

To find the derivative of a function at a given point, you can use the derivative formula and evaluate it at that point.

For example, if f(x) is a function and you want to find the derivative at the point x = a, then you can use the formula:

f'(a) = lim (h->0) [f(a + h) - f(a)]/h

Here, h represents a small change in x around the point a. To find the derivative at the point a, you evaluate this limit by plugging in a for x and simplifying the expression.

Alternatively, if you have already found the derivative of the function, you can simply plug in the point a to find the value of the derivative at that point.

An overview was given as your information is incomplete.

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