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3 years ago

11 less than the product of a number and -4

Mathematics

1 answer:

denpristay [2]3 years ago

7 0

Answer:

-4n - 11

Step-by-step explanation:

Step 1: Convert words into an expression

11 less than the product of a number and -4

(n * -4) - 11

-4n - 11

Answer: -4n - 11

If needed solve

-4n - 11 + 11 = 0 + 11

-4n / -4 = 11 / -4

n = -2.75

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Sarah has 3 bags of

Bumek [7]

Answer:

Step-by-step explanation:

16+3=19 the key word total means you add

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3 years ago

rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t

ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

$y=h+ut+\frac{1}{2}at^2$

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

$a=g=-9.8 m/s^2$ is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

$11=23+27t-4.9t^2\\4.9t^2-27t-12=0$

This is a second-order equation, which has solutions:

$t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}$

$t_1 = -0.41 s$

$t_2=5.92 s$

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

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8 0

3 years ago

Tony and Ricky spend a certain amount of money from their accounts each week at a pet shelter. The table shows the relationship

andriy [413]

Function 1:

Number of Weeks (x) Amount Remaining (dollars) (y)

1 30
2 24
3 18
4 12

You find the rate of weekley rate of change by calculating the difference of the amont remaing between two weeks:

24 - 30 = - 6

18 - 24 = - 6

12 - 18 = - 6

As you see the rate of change is constant: - 6 dollars per week.

The equation shows the relationship between the amount of money, y, remaining in Ricky's account and the number of weeks, x:

Function 2: y = –7x + 30 Which statement states and explains which function shows a greater rate of change?

The rate of change is the slope of the linear function, and this is the coefficient of the independent variable, x. Then the rate of change is - 7 dollar per week. Now you know that the two rates are constant and that the second function shows a steeper decreasing.

7 0

3 years ago

Read 2 more answers

4 times the measure of the complement of an angle is equal to 2/3he measure of the original angle's supplement. what is the meas

Andrej [43]

Let x be the angle
Complement of x is (90 degrees-x)
Supplement of x is (180 degrees-x)

4•(90-x)= 2/3(180-x)
3•4(90-x)=2(180-x)
1080-12x=360-2x
1080-360=12x-2x
720=10x
720/10= x
So x = 72 degrees

3 0

3 years ago

Milene é doceira e a seguir está uma representação dos bombons que ela fez no dia. Do total dos bombons que fez 2/3 são de coco.

Paha777 [63]

Answer:

16 bombons de coco

Step-by-step explanation:

A partir da pergunta, somos instruídos a fingir que o número total de bombons (chocolate) que ela fez = 24 bombons

Do total de chocolates que ele fez, 2/3 são de coco.

Portanto, a quantidade que representa os doces de coco é representada como:

2/3 × 24

= 16

Portanto, a quantidade de bombons de coco = 16

4 0

3 years ago