12. CT has a point C at (-7,-9) and point T at (9,7).
What are the coordinates of the midpoint?
A) (-1,-1)
C) (-1, 1)
B) (1,-1)
D) (1, 1)

Answer:

B:   n - 5

Step-by-step explanation:

It said a number n, which is a variable.

Decreased means subtracting by 5.

So the answer would be:  n - 5

Step-by-step explanation:

\(\huge\mathcal\pink{answer..} \\ \\ \\ \small\mathfrak\purple{d {3}= 27} \\ \\ \small\mathfrak\purple{d = \sqrt[3]{27} } \\ \\ \small\mathfrak\purple{d {}= \ \sqrt[3]{3 \times 3 \times 3} } \\ \\ \small\mathfrak\purple{d {}= 3} \\ \\ \small\mathfrak\green{hope \: it \: helps..} \\ \\ \)

Answer:

d = 3

Step-by-step explanation:

Answer:

rani = 95 and asia = 105

Step-by-step explanation:

Both of those = 200 when added together AND one is 10 years older

Answer:

Asia is 110 years old & Rani is 90 years old.

Explanation:

Asia is 10 yrs older, and the sum of both is 200 then half of 200 is 100 but Asia is bigger by 10 yrs, So we will subtract 10 from 100 so the age of Asia is 110 and Rani is 90.

Hope it helps:D

Answer:

c is 1

o is q

h is 2

in ch3

c is 2 h is 3

and finally o is 1

Answer:

47.25

Step-by-step explanation:

8.89 is about 9.

So, we have 9(5.25)=9(5)+9(0.25)=45+2.25=47.25

Answer:

16 in

Step-by-step explanation:

4 +4+4+4 = 16

Answer:

16

Step-by-step explanation:

since perimeter is the length of all the sides added up, and the sides of a square are all equal, you just add up all the sides!

Answer:

Slope: 2/1

equation: y=2/1x+2

Answer:

4/3<x<7

Step-by-step explanation:

Given the inequalities

3 < 3 x − 1 < 2 x + 6

Add 1 to all sides

3+1 < 3x-1+1<2x+6+1

4 < 3x < 2x + 7

Split

4 < 3x

3x > 4

x > 4/3

4/3 <x

Also

3x < 2x + 7

3x-2x < 7

x <7

Combine

4/3<x<7

Hence the required solution is 4/3<x<7

Answer:

64 students drink coke only

34 students drink pepsi only

Step-by-step explanation:

Here, we want to know the number of students that drink coke only and number of students that drink pepsi only.

Let the number of students that drink both be x

Mathematically,

n(μ) = 119 where μ represents the universal set

n(P) = 39

n(C) = 69

n(C n P) = x

n(C n P)’ = 16

n(P) only = 39 - x

n( C) only = 69 - x

Mathematically;

119 = (69-x) + (39-x) + x + 16

119 = 69 + 39 + 16 -2x + x

119 = 124 - x

x = 124 - 119

x = 5

So the number of students drinking pepsi only = 39 -5 = 34

The number of students drinking coke only = 69-5 = 64

The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

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The second derivative is negative, the point (x, y) = (3, 7) corresponds to a local maximum on the curve.

To find the leftmost point on the curve defined by the parametric equations x = t² + 2t and y = t² - 2t + 3, we need to find the value of t that corresponds to this point. We can do this by analyzing the derivative of the curve with respect to t.

The leftmost point on the curve corresponds to the point where the slope of the curve is zero or undefined. This occurs when the derivative of y with respect to x is zero or undefined.

We can express y as a function of x by eliminating t from the given parametric equations. Solving for t in terms of x, we get:

t = -1 ± √(x + 1)

Substituting this value of t in the equation for y, we get:

y = (x + 1) ± 4√(x + 1) + 3

y = ±4√(x + 1) + x + 4

To find the leftmost point on the curve, we need to find the value of x that corresponds to this point. We can do this by finding the minimum value of x for which y is defined.

Differentiating y with respect to x, we get:

dy/dx = 1 + 2/√(x + 1)

Setting dy/dx = 0, we get:

1 + 2/√(x + 1) = 0

2/√(x + 1) = -1

Solving for x, we get:

x = 3

Note that this value of x is within the given range of -2 ≤ t ≤ 3. Therefore, the leftmost point on the curve is the point corresponding to t = 1.

To justify that we have found the requested point, we can analyze the second derivative of y with respect to x. The second derivative will tell us whether the point corresponds to a local minimum, local maximum, or inflection point.

Differentiating dy/dx with respect to x, we get:

d²y/dx² = -2/\((x + 1)^{(3/2)}\)

Substituting x = 3, we get:

d²y/dx² = -2/64

Since the second derivative is negative, the point (x, y) = (3, 7) corresponds to a local maximum on the curve. Therefore, we have found the leftmost point on the curve as requested.

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The question is -

Identify the requested point and justify that you have found the requested point by analyzing an appropriate derivative. x = t² + 2t, y = t² - 2t + 3, - 2 ≤ t ≤ 3 Leftmost point

Answer:

Step-by-step explanation:

Use the slope formula:

Answer:

A. A) 3x - 4y = 4

Step-by-step explanation:

Slope: m = (y2-y1)/(x2-x1)

m = (-4 - 2)/(-4 - 4)

m = -6/-8 = 6/8 = 3/4

y = 3/4x + b

2 = 3/4(4) + b

b = -1

y = 3/4x - 1

4y = 3x - 4

3x - 4y = 4

Answer:

Well, I'm guessing you have to find the answer to the expression by plugging in y so...

Step-by-step explanation:

y = 5

10(5) + 6 =

50 + 6 =

56

The answer is 56

Answer:

The answer is 56

Step-by-step explanation:

The reason 56 is the answer because 10(5)=10x5=50

50+6=56

There you go enjoy your day and drink water ;)

"The speed of a randomly selected car on a highway" and "the percent change in the price of a share of IBM stock in a month" are examples of continuous random variables. Options A and C are the correct answers.

Continuous random variables are those that can take on any value within a given range, as opposed to discrete random variables, which can only take on certain values.The speed of a randomly selected car on a highway and the percent change in the price of a share of IBM stock in a month are examples of continuous random variables.

These variables have a range of values and can take on any value within that range.The number of claims on a medical insurance policy on a given year, the number of customers that enter a particular store on a randomly selected day, and the time that elapses between two customer service calls are examples of discrete random variables. These variables can only take on certain values, such as whole numbers or specific times.

Thus option A and option C are the correct answers.

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The two given vectors' dot product is -1. And the required option is d.

The type of algebraic operation generated by multiplying the two given vectors is known as the dot product, also referred to as the scalar product. This is typically used when one needs to calculate the amount of work to be done, find a vector's position, and calculate the angle created between two vectors.

Consider two vectors \(\vec{a}\) and \(\vec{b}\) given by ⟨a₁, a₂, a₃⟩ and ⟨b₁, b₂, b₃⟩. Then, the dot product between these two vectors is written as, \(\vec{a}\cdot \vec{b}=a_1b_1+a_2b_2+a_3c_3\).

Let's consider the given vectors ⟨1, -2⟩ and ⟨3, 2⟩ as  \(\vec{a}\) and \(\vec{b}\). Then, their dot product is provided by,

\(\begin{aligned}\vec{a}\cdot\vec{b}&=(1\cdot 3)+(-2\cdot2)\\&=3-4\\&=-1\end{aligned}\)

The required answer is -1 and the correct option is d.

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The complete question is -

Find the dot product of <1, -2> and <3, 2>.

a) 1

b) <3, -4>

c) <4, 0>

d) -1

Answer:

5.125

Step-by-step explanation:

5 1/8 =(5*8+1)÷(8)

= 41/8

=.125

Sine and cosine are both equivalent to x/y, depending on the angle of the point on the circle.

To find two trigonometric functions equivalent to the ratio x/y, we can use the unit circle. Let's assume that x and y are the coordinates of a point on the circle, where x represents the horizontal displacement, and y represents the vertical displacement.

From this, we can find that the sine of the angle that x and y make with the x-axis is y, and the cosine of that angle is x. Therefore, the two trigonometric functions equivalent to the ratio x/y are sine and cosine.

We can write this as sin(angle) = y/y and cos(angle) = x/y. It's important to note that the value of the angle depends on the position of the point on the unit circle.

So, sine and cosine are both equivalent to x/y, depending on the angle of the point on the circle.

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a. True. A square matrix with orthonormal columns is invertible because its columns are linearly independent.

Therefore, the determinant of the matrix is nonzero and the matrix is invertible.

b. True. Let be an matrix with orthonormal columns. Then the product is the identity matrix because the dot product of any two distinct columns of is zero.

c. True. Suppose that is an orthogonal set in that is linearly dependent. Then there exist coefficients , not all zero, such that . Let be the smallest index for which .

However, since is orthogonal, we have , which contradicts the assumption that is linearly dependent. Therefore, every orthogonal set in is linearly independent.

d. False. Consider the set in , where . Then, , but this set is not orthonormal because the second vector has norm 2.

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 For angle group G1 (0, 90, 180, 270, 360 degrees), the values of sin(theta), cos(theta), tan(theta), and vector A can be calculated. The same calculations can be performed for angle groups G2 (30, 120, 210, 300 degrees) and G3 (45, 135, 225, 315 degrees). The results are summarized in the tables below.

In order to find the values of sin(theta), cos(theta), and tan(theta) for each angle in the given angle groups, we can use the basic trigonometric functions. The values of sin(theta), cos(theta), and tan(theta) are dependent on the angle theta, which is measured in degrees.
Angle Group G1 (0, 90, 180, 270, 360 degrees):
For each angle in this group, we can calculate the values of sin(theta), cos(theta), and tan(theta) using a scientific calculator or trigonometric tables. The vector A, which represents the magnitude of the vector with components A_x and A_y, can be determined using the formula A = sqrt(A_x^2 + A_y^2), where A_x and A_y are the x and y components of the vector, respectively.
Angle Group G2 (30, 120, 210, 300 degrees):
Similar to G1, we can calculate sin(theta), cos(theta), and tan(theta) for each angle in G2 using trigonometric functions. The vector A can be determined using the same formula mentioned earlier.
Angle Group G3 (45, 135, 225, 315 degrees):
Again, we apply the trigonometric functions to find sin(theta), cos(theta), and tan(theta) for each angle in G3. The magnitude of vector A can be obtained using the formula mentioned above.
By performing these calculations, we can complete the tables, providing the values of sin(theta), cos(theta), tan(theta), and vector A for each angle group as required.

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Answer:

X= -6

Step-by-step explanation:

subtract 25 from both sides then you simplify the expression  when you do that you divide both sides from the same factor which is 3 then you get you're solution x=-6

Answer:

See attached photo for work

Step-by-step explanation:



When dividing 210 by 3.5 using long division, the quotient is 60.

Dividing is a fundamental mathematical operation that involves splitting a quantity or set of items into equal parts. It is the inverse of multiplication, where one number, called the dividend, is separated into smaller portions or groups by another number, known as the divisor. The result is called the quotient. Division is denoted by the symbol "/", ÷, or ":".

When dividing 210 by 3.5 using long division, we start by dividing 2 by 3.5 which gives us 0 as the quotient. We then bring down the next digit, 1, and divide 21 by 3.5 which gives us 6 as the quotient. Finally, we bring down the last digit, 0, and divide 0 by 3.5 which gives us 0 as the quotient. Therefore, 210 divided by 3.5 is equal to 60.

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Answer:

Step-by-step explanation:

Answer:

You didn't include any choices.....see below

Step-by-step explanation:

Answer:

Step-by-step explanation:

m<2= 69 degrees

m<1 and m<3 = 21 degrees

Answer:

h=6cm

Step-by-step explanation:

V=lwh

126=3×7×h

h=6cm

Answer:

V = 665,012 cm^2 (centímetros cuadrados)

Step-by-step explanation:

V= (pi) x (r^2) x (h)

V = 3.14 x 1764 x 120cm = 665012 cm^2