what is 9/7 - 1/6= answer ​

Answer:

The family of possible values for [tex]p[/tex] are:

[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

[tex]\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}[/tex] (1)

Where:

[tex]\theta[/tex] - Angle between vectors, in sexagesimal degrees.

[tex]\|\vec a\|, \|\vec b \|[/tex] - Norms of vectors [tex]\vec {a}[/tex] and [tex]\vec{b}[/tex]

If [tex]\theta[/tex] is acute, then the cosine function is bounded between 0 a 1 and if we know that [tex]\vec {a} = (p, 3, -7)[/tex] and [tex]\vec {b} = (p, -p, 4)[/tex], then the possible values for [tex]p[/tex] are:

Minimum ([tex]\cos \theta = 0[/tex])

[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0[/tex]

Maximum ([tex]\cos \theta = 1[/tex])

[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1[/tex]

With the help of a graphing tool we get the family of possible values for [tex]p[/tex] are:

[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]

The dot product between the two vectors is the product of the magnitude between them times cosine angle.

The possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].

To find the value of [tex]p[/tex] we need to perform the dot product of two equation.

The dot product between the two vectors is the product of the magnitude between them times cosine angle

Given information-

The vector equation given in the problem is,

[tex]a = p\hat i +3\hat j - 7\hat k[/tex]

[tex]b = p\hat i - p\hat j +4\hat k[/tex]

For acute angle, the dot product of [tex]a,b[/tex] less than equal to zero.

Thus,

[tex]a .b<0[/tex]

Put the values,

[tex](p\hat i +3\hat j - 7\hat k)(p\hat i - p\hat j +4\hat k)<0[/tex]

In the dot product the multiplication of different unit vector is zero. Thus,

[tex]p^2-3p-28<0[/tex]

Factorize above equation using the split the middle term method as,

[tex]p^2-7p+4p-28<0\\(p-7)(p+4)<0[/tex]

As the factor of the above equation is 7 and -4.

Thus the possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].

Learn more about the dot product here;

https://brainly.com/question/9956772

Answer:

use a midpoint formulae (X2+X1 /2 ; Y2 + Y1 /2 )

(-2+3/2 ; -2+4/2 )

X = 1/2 ; Y = 1

Answer:

what kind of math is that?

Step-by-step explanation:

Answer:

A (-1)

Step-by-step explanation:

If you look on number line -1 is more left (smaller).

Answer:

-1

Step-by-step explanation:

-1 is the smallest because 0 and 3 is bigger than -1 because it is a negative number and -1/2 is -0.5 which is bigger than -1. So answer is -1

Answer: The surface area (SA) would be 62 m.

Step-by-step explanation: The formula for surface area of a rectangular prism is SA= 2(length × width + height × length + width × height). We can   substitute the length, width and height into the problem and get

SA= 2(3×5 + 2×5 + 3×2). Using the order of operations (PEMDAS) we can simplify the problem down to SA= 2(15 + 10 + 6), then add up what is in the   parentheses and get SA= 2(31), and 2×31=62.

Answer:

The loss on the sale of 50 type M cars is $8000, and the loss is decreasing at the rate of $500 per 50 type M car sold.

Step-by-step explanation:

Given

[tex]L(50) = 8000[/tex]

[tex]L'(50) = -500[/tex]

Required

Interpret

From the question, we understand that:

[tex]x \to[/tex] Number of cars

[tex]L(x) \to[/tex] Profit on x cars

Using the above as a point of reference,

[tex]L'(x) \to[/tex] Rate of loss per x cars

So, the interpretations are:

[tex]L(50) = 8000[/tex]

A loss of 8000 on 50 cars

[tex]L'(50) = -500[/tex]

The loss rate is a reduction of 500 per 50 car

Answer:

1,985

Step-by-step explanation:

p = 590(2)^(7/4)

p = 1,985

Answer:

10x is equal to 100 so 100+6=106

then

Step-by-step explanation:

4x is equal to 8 so 4+18=22

so it's 128

Answer:

7

Step-by-step explanation:

(4·2)+4-5

8+4-5

12-5=

7

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]

[tex]\huge\textbf{Simplifying it:}[/tex]

[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{4}{1}\times\dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{8}{3}}[/tex]

[tex]\rightarrow\large\text{Finding out what is equal to: }\rm{\dfrac{8}{3}}\leftarrow[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]\huge\text{Option A.}[/tex]

[tex]\mathbf{6\times \dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{6}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{6\times1}{1\times3}}[/tex]

[tex]\mathbf{= \dfrac{6}{3}}[/tex]

[tex]\mathbf{= 2}[/tex]

~~~~~

[tex]\rm{\bf 2 \neq \dfrac{8}{3}}[/tex]

~~~~~~

[tex]\huge\text{Option B.}[/tex]

[tex]\mathbf{10\times \dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{10}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{10\times1}{1\times 3}}[/tex]

[tex]\mathbf{= \dfrac{10}{3}}[/tex]

~~~~~~

[tex]\rm{\bf \dfrac{10}{3} \neq \dfrac{8}{3}}[/tex]

~~~~~~

[tex]\huge\text{Option C.}[/tex]

[tex]\mathbf{2\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{2}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{2\times1}{1\times3}}[/tex]

[tex]\mathbf{= \dfrac{2}{3}}[/tex]

~~~~~

[tex]\rm{\bf \dfrac{2}{3} \neq \dfrac{8}{3}}[/tex]

~~~~~

[tex]\huge\text{Option D.}[/tex]

[tex]\mathbf{8\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{8}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{8\times1}{1\times3}}[/tex]

[tex]\mathbf{= \dfrac{8}{3}}[/tex]

~~~~~

[tex]\rm{\dfrac{8}{3} = \dfrac{8}{3}}\large\checkmark[/tex]

~~~~~

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{Option\ D. 8\times \dfrac{1}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

5 + 9y

Step-by-step explanation:

When it says plus, it means +. When it says the product of 9 and y, it means 9 × y or 9y.

Answer:

15

Step-by-step explanation:

15 cubed (15×15×15) equals 3375

Answer:

f(g(2)) = 2

Step-by-step explanation:

g(2)

g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]

f(g(2))

[tex]g(2) = -3[/tex]

Thus

[tex]f(g(2)) = f(-3)[/tex]

Looking at the table, when [tex]x = -3, f(x) = 2[/tex]

Thus: [tex]f(g(2)) = 2[/tex]

1/2

Hope this helps! :)

______________

Answer:

1/2

Step-by-step explanation:

you use rise/run so its  (0,1) and (2,2) you move to the right 2 points and rise 1 so its 1/2 so its 0.50

Answer:

Step-by-step explanation:

84 cents divided by 14 inches = 6 cents per inch

48 cents divided by 6 cents = 8 inches

8 inches of wire can be bought for 48 cents

Answer:

5.24m

Step-by-step explanation:

volume of a cone = (1/3)πr²h

= (1/3)×(22/7)×1²×5

= 5.24m

Answer:

x × y =3/4

Step-by-step explanation:

Product is the keyword and it is the answer to a multiplication equation. Thats why it is a multiplication symbol.

Have a great day! Late ik.

Lilac~

An algebraic expression for the given statement is 3/4 xy.

Given that, three-quarters is the product of two numbers x and y.

We need to write an algebraic expression for the given statement.

Algebraic expressions are the mathematical statement that we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.

Now, the product of two numbers x and y=xy

Three-quarters is the product of two numbers x and y=3/4 xy

Therefore, an algebraic expression for the given statement is 3/4 xy.

To learn more about an algebraic expression visit:

https://brainly.com/question/19245500.

#SPJ2

Circumference of circle is 62.8 inches.

Step-by-step explanation:

Using Formula

Circumference of circle = 2 π r

Substitute the values

Circumference of circle = 2 × 3.14 × 10 inches.

multiply the numbers

Circumference of circle = 62.8 inches

Hence, the circumference of circle is 62.8 inches.

Answer:767

Step-by-step explanation:

Answer:

107

Step-by-step explanation:

EFD + 135 = 180

EFD = 45

DEF + 28 + 45 = 180

DEF + 73 = 180

DEF = 107

Answer:

∠ DEF = 107°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

135° is an exterior angle of the triangle , then

∠ DEF + 28° = 135° ( subtract 28° from both sides )

∠ DEF = 107°

Answer:

15 girls

Step-by-step explanation:

Girls  : Boys

5              3

To get to 9 boys multiply by 3

Girls  : Boys

5*3         3*3

15               9

There are 15 girls

Answer:

distance between the points is 8.602325267 units

Step-by-step explanation:

(5 , 8)=(x1 , y1)

(-2 , 3)=(x2 , y2)

use formula:[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

=[tex]\sqrt{(-2-5)^2 + (3-8)^2}[/tex]

=[tex]\sqrt{(-7)^2 + (-5)^2}[/tex]

=[tex]\sqrt{49 + 25}[/tex]

=[tex]\sqrt{74[/tex]

=8.602325267 units

Answer:

( k-4)(k+2)

Step-by-step explanation:

k² - 2k - 8

What 2 numbers multiply to -8 and add tp -2

-4*2 = -8

-4+2 = -2

( k-4)(k+2)

Refer to the attachment for steb-by-step explanation.

Answer:

D: - 2/7

Step-by-step explanation:

The gradient of the line is -2/7 because:

3-1 =2

-4-3=-7

2/-7

Answer:

median = 25. that's the answer

Answer:

Mean - 25

median - 25

range - 10

mode - 25

56 over 15

hope this help yoooooooooooooooooooo

Answer:

22/15

Step-by-step explanation:

(1/3 + 2/5) x (2 - 1/2) ÷ 3/4

=(5/15 + 5/15) x (4/2 - 1/2) ÷ 3/4

=11/15 x 3/2 ÷ 3/4

=11/15 x 3/2 x 4/3

=22/15

Hope this helps! Have a nice day!