Dante is solving the system of equations below.
r+S-=-4
2r-35+=1
3r-2s+21= 3
He writes the row echelon form of the matrix. Which matrix did Dante write?

Answer:

C. 0.002589 km

Step-by-step explanation:

2589/1,000,000

=0.002589

Answer:

(a) 10 seconds

(b) 490 meters

Step-by-step explanation:

When the object hits the ground, it shows that the height is 0. Hence, h(t) = 0.

0 = 4.9(10+t)(10-t)

0 = (10+t)(10-t)

t = 10, -10

Since time cannot be negative, t = -10 will be rejected.

Therefore, t = 10 seconds

Based on the question, "t seconds after the object is dropped from a helicopter", means that the time starts right after the object is dropped from the helicopter, this shows that t = 0.

h(0) = 4.9(10+0)(10-0)

= 4.9(100)

= 490 meters

Answer:

1

Step-by-step explanation:

1>1 NO FALSE 1==1

Answer:

The answer would be 2000

Step-by-step explanation:

Knowing that there are 1000 milliliters in 1 liter, you can multiply that by 2 to get 2000. I hope this helps! :)

Answer:

C. Equally likely

Step-by-step explanation:

1/2=0.5=50% probability

The value of the cosine of angle for π/2 radians is 0. Then the correct option is B.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

An angle in standard position measures π/2 radians, and p(0, 1) is on the terminal side of the angle.

Then the value of the cosine of this angle will be

[tex]\cos \dfrac{\pi}{2} = 0[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

B. 0

Step-by-step explanation:

edge 2023

Answer:

90

Step-by-step explanation:

Do it on the calculator 180÷2

14.8

____________________________________________________

[tex]14.8[/tex]

I hope this helps you

:)

Answer:

You can divided 74 by 5. 5 fits into 7 once so you subtract 5 and you are left with 2. Then bring down the 4 and you have 24. 5 fits into 24 only 4 times so you would subtract 20 from 24 and be left with 4. Then add a decimal point and a 0. Bring down the 0 and you'll have 40. 5 fits into 40 exactly 8 times so 40 - 40 = 0. The answer is 14.8

Step-by-step explanation:

The fraction computed shows that the total quantity of meat that Joy bought is 5/6kg.

The fraction can be explained thus: Joy bought 1/2kg of meat from a store and bought 1/3kg of meat from store B. What is the total quantity of meat that Joy bought?

The total quantity of meat that Joy bought will be:

= 1/2 + 1/3

= 5/6

In conclusion, the correct option is 5/6kg.

Learn more about fractions on:

https://brainly.com/question/78672

Answer:

A

Step-by-step explanation:

This will have slope in it, so bear with me.

We will use the equation [tex]\frac{y(2) - y(1)}{x(2) - x(1)}[/tex] (keep in mind (2) means second and (1) means first)

Lets fill it out.

[tex]\frac{-4-(-1)}{-4-3}[/tex]

It should be [tex]\frac{-3}{-7} or \frac{3}{7}[/tex]

So it is A

Step-by-step explanation:

from my side it's blury, try to send it again

Answer:

-12g+32

Simplify and combine like terms.

Answer:

Given:

Given expression:

[tex]\dfrac{30pqr(p+q+r)}{(p+q)(p+r)}[/tex]

Substitute given values into given expression:

[tex]\implies \dfrac{30\cdot\dfrac12\cdot-\dfrac13\cdot\dfrac15\left(\dfrac12-\dfrac13+\dfrac15\right)}{\left(\dfrac12-\dfrac13\right)\left(\dfrac12+\dfrac15\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{30}{30}\left(\dfrac{15}{30}-\dfrac{10}{30}+\dfrac{6}{30}\right)}{\left(\dfrac36-\dfrac26\right)\left(\dfrac{5}{10}+\dfrac{2}{10}\right)}[/tex]

[tex]\implies \dfrac{-1\left(\dfrac{11}{30}\right)}{\left(\dfrac16\right)\left(\dfrac{7}{10}\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{11}{30}}{\dfrac{7}{60}}[/tex]

[tex]\implies -\dfrac{11}{30}\times \dfrac{60}{7}[/tex]

[tex]\implies -\dfrac{660}{210}[/tex]

[tex]\implies -\dfrac{22}{7}[/tex]

Answer:

the surface area of the prism = 378 cm³

Step-by-step explanation:

Let S be the surface area of the prism

     B be the base of the prism

     h be the height of the prism

    T be the lateral surface area of the prism

_______

Formula

S = 2B + T

_________

[tex]\begin{aligned}B &=\frac{9 \times 12}{2} \\&=54\end{aligned}[/tex]

[tex]\begin{aligned}T &=7,5 \times(9+12+15) \\&=270\end{aligned}[/tex]

[tex]\begin{aligned}S &=2 B+T \\&=2 \times(54)+270 \\&=378\end{aligned}[/tex]

Answer:

Step-by-step explanation:

For the first problem you have:

[tex]sin^2(x)-sin(x)=0[/tex]

Factor out a sin(x) to get:

[tex]sin(x)[2sin(x)-1]=0[/tex]

Individually, set both terms equal to zero:

[tex]sin(x)=0[/tex]

[tex]2sin(x)-1-0[/tex]

The first equation is asking "sine of what angle gives zero?" The sine of 0 will give zero, and so will the sine of pi, and 2pi, etc. Therefore, you can generalize this by saying the solution is pi multiplied by an integer 'n' where 'n' can be from zero to infinity:

[tex]x=n\pi[/tex]

where n = 0, 1, 2, 3, 4, 5, etc..

(make sure you specify that 'n' can equal zero.)

For the second equation, add 1 to both sides to get:

[tex]2sin(x)=1[/tex]

Divide both sides by 2 to get:

[tex]sin(x)=\frac{1}{2}[/tex]

Sine of what gives 1/2? Sine of pi/6 gives 1/2, and so does 5pi/6. Therefore, the two solution here would be pi/6 plus a phase shift of 2pi, and 5pi/6 plus a phase shift of 2pi:

[tex]x=\frac{\pi }{6} +2n\pi[/tex]

[tex]x=\frac{5\pi }{6} +2n\pi[/tex]

The second problem states that:

[tex]cos(u)=\frac{4}{5}[/tex]

Cosine is defined as the adjacent side of a right triangle divided by the hypotenuse of the right triangle:

[tex]cos(u)=adjacent/hypotenuse[/tex]

After drawing a triangle, the adjacent side is 4, and the hypotenuse is 5. But first, lets rewrite sin(2u) using the double angle identity to get:

[tex]sin(2u)=2sin(u)cos(u)[/tex]

But we know the value of cosine of 'u', it is 4/5. Therefore:

[tex]sin(2u)=2sin(u)*\frac{4}{5}[/tex]

[tex]sin(2u)=\frac{8}{5} sin(u)[/tex]

To find the sine of 'u', use the triangle you should have constructed when I defined cosine as the adjacent over the hypoptenuse. Sine is defined as the opposite over the hypotenuse. We have:

[tex]sin(u)=opposite/hypotenuse[/tex]

We have the adjacent, we have the hyppotenuse, and we want the opposite. If we find the opposite side, we can find the sin(2u). Use pythagogrean's theorem to find the opposite:

[tex]adjacent^2+opposite^2=hypotenuse^2[/tex]

[tex]4^2+opposite^2=5^2[/tex]

[tex]opposite^2=25-16[/tex]

[tex]opposite=3[/tex]

Finally, we have that:

[tex]sin(u)=\frac{3}{5}[/tex]

Or:

[tex]sin(2u)=\frac{8}{5}*\frac{3}{5} =24/25[/tex]

Hopefully you could follow along. There is a lot going on here, but since youre in pre-calc, you should be able to follow along as long as you follow my steps.

The volume of the cone is the amount of space in it

The volume of the cone is 264.3 cubic inches

The given parameters are:

The volume of a cone is then calculated as:

V = 1/3π(d/2)²h

This gives:

V = 1/3 * 3/14 * (10.1/2)² * 9.9

Evaluate the product

V = 264.256905

Approximate

V = 264.3

Hence, the volume of the cone is 264.3 cubic inches

Read more about volumes at:

https://brainly.com/question/1972490

Answer:

The mode is the number that appears the most.

Therefore the answer is 7.

Answer:

7

Step-by-step explanation:

the mode is the number that appears the most in a data set. In this data set the number that appears the most is 7.

Answer:

Step-by-step explanation:

Firsly ,we notice that the base of the prism is a regular pentagon

regular means the five sides of the pentagon are equal in measure .

_______

Formula :

Area of a regular pentagon B = 1/2 × p × a;

where p is the perimeter of the pentagon

          a is the apothem of the pentagon

_______________________________

then p = 5×6 = 30 ft

a = 4.1 ft. (Given)

therefore ,

B = 1/2    ×  p  ×   a

   = (1÷2) × 30 × 4.1 = 61.5 ft²

height of the prism h = 12 ft  (given)

Volume V = B × h = 61.5 × 12 = 738.ft³

Answer:

Below in bold.

Step-by-step explanation:

By proportion she can make 3 1/3 * 1 / 2 1/2 truffles

= 10/3 * 1 / 5/2

= 10/3 * 2/5

= 20 / 15

= 1 1/3 dozen truffles from 1 pound chocolate.

1 1/3 dozen  truffles is made from 1 pound

4/3  . . ..   ..     ..    ..   ..   ..         1  pound

1     . . ..   ..     ..    ..   ..   ..          3/4    ..

5     . . ..   ..     ..    ..   ..   ..         3/4  * 5  =  15/4 pound of chocalote=

3 3/4 pounds chocolate.

Answer:

227994

Step-by-step explanation:

Answer:

value x value = product

237 x 962 = product = 227,994

Step-by-step explanation:

hope this helps,

Answer:

[tex]\Longrightarrow:\boxed{\sf{-32-20t}}[/tex]

Step-by-step explanation:

Use the distributive property to expand the expression.

Distributive property:

→ A(B+C)=AB+AC

Multiply.

→ -4*8=-32

⇒ -4*5t=-20t

Rewrite the problem down.

→ = -32-20t

I hope this helps you! Let me know if my answer is wrong or not.

Answer:-32-20t

Step-by-step explanation:

-4 times 8 is -32 and -4 times 5t is -20t

Hope this helps! :)

you can replace the m with 14 to get an equation of: 52+14=66

Answer:

good and how do you forget wut H is?

Step-by-step explanation:

Answer:B.a= -2

2.2(44a+5)=1.8a-3

8.8a+11=1.8a-3

8.8a-1.8a=-3-11

7a=-14

:a=-2

Step-by-step explanation:

Answer:

Where the line is going

Step-by-step explanation:

Put attention next time

Ps. Just check if its on x or on the y

The slope of line that passes through the points (1, -6) and (-2, –8) is 2/3.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

Here the points are(1, -6) and (-2, –8) :

and it is to find the equation of line passing through these points :

Now using slope formula to find the slope of line m :

m = (y₂-y₁)/ (x₂-x₁)

m = (-8+6)/(-2-1)

m = -2/-3

m = 2/3

Therefore, the slope of line that passes through the points (1, -6) and (-2, –8) is 2/3.

More can be learned about linear functions :

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