1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katrin2010 [14]
3 years ago
12

30 points

Mathematics
1 answer:
igomit [66]3 years ago
8 0
Since the rate of descent is a constant this is a linear equation and can be expressed as:

h=vt+b, where h=feet, v=slope or rate, b=y-intercept (y value when x=0 which is the initial height)

h=-2t+b, using the point (3,67) we can solve for b, or the initial height

67=-2(3)+b

67=-6+b

73=b  so the initial height was 73 ft and the height equation is then:

h(t)=67-2t so when t=8 you have:

h(8)=67-2(8)

h(8)=67-16

h(8)=51 ft
You might be interested in
a sixth grade class has 12 boys and 24 girls consider this statement: <br />for every two boys there are 4 girls do you ag
Nitella [24]
So the ratio of boys to girls is 12:24.. now, is that an equivalent ratio as 2 boys for 4 girls? or 2:4?  let's see.

\bf \cfrac{boys}{girls}\qquad 12:24\qquad \cfrac{12}{24}\implies \boxed{\cfrac{1}{2}}
\\\\\\
\cfrac{boys}{girls}\qquad 2:4\qquad \cfrac{2}{4}\implies \boxed{\cfrac{1}{2}}

you could start simplifying the 12/24 fraction by dividing by some common multiple, say 2, and get 6/12, then divide by 3 and get 2/4  and stop there.

then you'll notice that 12/24 is really 2/4 in disguise.
4 0
3 years ago
Determine
mihalych1998 [28]

Answer:

=4.+2.

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector \vec b is a linear combination of \vec a_1 and \vec a_2 if there are two scalars x_1, x_2 such as

\vec b=x_1\vec a_1+x_2\vec a_2

In our case, all the vectors are given in R^3 but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

\vec a_1=,\ \vec a2=,\ \vec b=

We set the equation

=x_1.+x_2.

Multiplying both scalars by the vectors

=+

Equating each coordinate, we get

4x_1-4x_2=8

5x_1+3x_2=26

-4x_1+3x_2=-10

Adding the first and the third equations:

-x_2=-2

x_2=2

Replacing in the first equation

4x_1-4(2)=8

4x_1=8+8

x_1=4

We must test if those values make the second equation become an identity

5(4)+3(2)=20+6=26

The second equation complies with the values of x_1 and x_2, so the solution is

=4.+2.

8 0
3 years ago
How many ways can 4 pizza toppings be chosen from 12 available toppings
Arisa [49]

Answer:

There are 495 different ways to choose 4 pizza toppings from 12.

Step-by-step explanation:

12!/8!4! = 12*11*10*9/(4*3*2) = 11*9*5 = 495

5 0
3 years ago
Read 2 more answers
Solve the following equation: 2x – 4 = 4x +8. Make sure to not only solve the problem, but to list out the steps using academic
USPshnik [31]
Answer: x = -6

Step 1: 2x = 4x+8+4
Step 2: 2x-4x = 12
Step 3: -2x = 12
Step 3: x = -6
3 0
3 years ago
What is the nearest whole number of 6 10/12
sergiy2304 [10]
The nearest whole number of 6 10/12 is 7.
4 0
3 years ago
Other questions:
  • {15÷[(6+9)÷5]+3}= show work please
    11·1 answer
  • What is the value of the expression<br>(25 - 7) X 2 + 4 + 2?<br>​
    12·2 answers
  • Describe the relationship between n and 4 that will make the value of the expression 7x n/4 greater than 7
    8·1 answer
  • Nellie and her younger sister Debbie share expenses on a holiday. Nellie spends $122 more than Debbie. Their total expenses amou
    5·1 answer
  • Pls help me ima mark BRAINLIST
    6·2 answers
  • Plsss need help asap
    9·1 answer
  • What’s wants to. answer my question what is 123465839274+384x384729+384=? <br> (Email)
    9·2 answers
  • Expressão ( - b + c)² . h, para b = 12, c = 10 e h = 8, é: *<br>Mim ajudem ​
    5·1 answer
  • At a community fund raiser event, bracelets cost $3 and necklaces cost $6. Complete the patterns in the first two columns for th
    7·1 answer
  • Can anybody help me please?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!