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2 years ago

50 points Write a linear function f with the values f(−9)=8 and f(0)=1

Mathematics

2 answers:

alisha [4.7K]2 years ago

6 0

Answer:

ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎

Step-by-step explanation:

ch4aika [34]2 years ago

6 0

Answer:

Step-by-step explanation:

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A cereal box has dimensions of 1012 inches by 712 inches by 212

Juliette [100K]

The answer is 196.875 in3

Assuming you meant the following measures

10 1/2 inches by 7 1/2 inches by 2 1/2 inches.

The volume is V = L*W*H = 10.5 in * 7.5 in *2.5 in = 196.875 in3

3 0

3 years ago

Read 2 more answers

Thomas has an album that holds 600 baseball cards each page of the album holds 6 cards. If 45% of the album is empty, how many p

My name is Ann [436]

Answer:

55 pages

Step-by-step explanation:

Knowing that the book holds 600 cards and 6 cards/page, we can tell that there are 100 pages.

From that, we know that 45% are empty, which means 55% of all of the pages have cards.

55% of 100 is 55. Therefore, 55 pages have baseball cards.

3 0

3 years ago

wo point charges lie on the $x$ axis. A charge of +6.24 $\mu C$ is at the origin, and a charge of -9.55 $\mu C$ is at $x$ = 12.0

Andreyy89

Answer:

$E_n=34,467,075.42\ N/C$

Step-by-step explanation:

Electric Field

The electric field produced by a point charge Q at a distance d is given by

$\displaystyle E=K\cdot \frac{Q}{d^2}$

Where

$K = 9\cdot 10^9\ Nw.m^2/c^2$

The net electric field is the vector addition of the individual electric fields produced by each charge. The direction is given by the rule: If the charge is positive, the electric field points outward, if negative, it points inward.

Let's calculate the electric fields of each charge at the given point. The first charge $q_1=+6.24\mu C=6.24\cdot 10^{-6}C$ is at the origin. We'll calculate its electric field at the point x=-3.85 cm. The distance between the charge and the point is d=3.85 cm = 0.0385 m, and the electric field points to the left:

$\displaystyle E_1=9\cdot 10^9\cdot \frac{6.24\cdot 10^{-6}}{0.0385^2}$

$E_1=37,888,345.42\ N/C$

Similarly, for $q_2=-9.55\mu C=-9.55\cdot 10^{-6}C$ , the distance to the point is 12 cm + 3.85 cm = 15.85 cm = 0.1585 m. The electric field points to the right:

$\displaystyle E_2=9\cdot 10^9\cdot \frac{9.55\cdot 10^{-6}}{0.1585^2}$

$E_2=3,421,270\ N/C$

Since E1 and E2 are opposite, the net field is the subtraction of both

$E_n=37,888,345.42\ N/C-3,421,270\ N/C$

$\boxed{E_n=34,467,075.42\ N/C}$

6 0

3 years ago

Consider the following planes. x + y + z = 6, x + 7y + 7z = 6 (a) Find parametric equations for the line of intersection of the

Lelechka [254]

Answer:

a. $x=6,y=-6t,z=6t$

b. $\theta=29.5^{\circ}$

Step-by-step explanation:

We are given that

$x+y+z=6$

$x+7y+7z=6$

a.Substitute z=0

$x+y=6$ ...(1)

$x+7y=6$ ..(2)

Subtract equation (1) from equation (2)

$6y=0$

$y=0$

Substitute y=0 in equation(1)

$x=6$

The point (6,0,0) lie on a line.

$r_0=(x_0,y_0,z_0)=(6,0,0)$

Let $A=$

$B=$

$A\times B=\begin{vmatrix}i&j&k\\1&1&1\\1&7&7\end{vmatrix}$

$A\times B=i(7-7)-j(7-1)+k(7-1)=-6j+6k$

Therefore, the vector $a'=(a,b,c)=$

Line is parallel to vector a' and passing through the point (6,0,0).

The parametric equation is given by

$x=x_0+at,y=y_0+bt,z=z_0+ct$

Using the formula

The parametric equation is given by

$x=6,y=-6t,z=6t$

Angle between two plane

$a_1x+b_1y+c_1z=d_1$

and $a_2x+b_2y+c_2z=d_2$

$cos\theta=\frac{(a_1,b_1,c_1)\cdot (a_2,b_2,c_2)}{\sqrt{a^2_1+b^2_1+c^2_1}\cdot \sqrt{a^2_2+b^2_2+c^2_2}}$

Using the formula

$cos\theta=\frac{(1,1,1)\cdot(1,7,7)}{\sqrt{1+1+1}\times \sqrt{1+7^2+7^2}}$

$cos\theta=\frac{1+7+7}{\sqrt 3\times 3\sqrt{11}}$

$cos\theta=\frac{15}{3\sqrt{33}}}=\frac{5}{\sqrt{33}}$

$\theta=cos^{-1}(0.87)=29.5^{\circ}$

Where $\theta$ in degree.

3 0

2 years ago

explain when it might be more efficient to use the percent equation rather than the percent proportion?

Tanya [424]

Proportions vs. Percent Equations Two Sides of the Same Coin POD Remember that a proportion deals with the equality of two ratios. Now YOU try it. What is a percent equation? In class problems: Define Percent Equation using p. 456 of your textbook Take a look at this proportion: 12 8 2x+12 24 = Can the 12 and 24 cancel?
Explain. (zoom back out to see the proportion if needed) Is there another way to simplify this problem before cross multiplying? complete with you neighbor and turn in ONE sheet together! Question #2 Question #1 Do you have to use cross products to solve this proportion? Question #3 #4 - SOLVE the proportion TWO different ways! (hint: the book uses a slightly different name for this concept...) FIRST: SECOND: Amount Base % 100 = Convert the proportion below into a percent equation: Percent Equation ...write it down!

3 0

3 years ago

*50 points* Write a linear function f with the values f(−9)=8 and f(0)=1

50 points Write a linear function f with the values f(−9)=8 and f(0)=1