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
Eddi Din [679]
2 years ago
14

A garbage truck and a dump truck each drive along a straight road between two points. Using the points on a map that the city cr

eated, the garbage truck will start at (–3, 4) and will stop at (5, 12). The dump truck will start at (5, –3) and will stop at (–4, 33).
What are the coordinates of the intersection that both trucks drive through?
Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0
We first find the lines of the motion of each truck, then calculate its intercept.
Garbage truck:
m = (12 - 4) / (5 - 3)
m = 4
4 - y = 4(3 - x)
4x - y = 8

Dump truck:
m = (33 + 3) / (-4 - 5)
m = -4
33 - y = -4(-4 - x)
4x + y = 17

Adding the two equations to solve them, we get:
8x = 25
x = 25 / 8

y = 17 - 4(25/8)
y = 17 - 25/2
y = 9/2

The trucks' point of intersection is (25/8,9/2)
You might be interested in
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 ki
shepuryov [24]

Answer

given,

mean = 12 Kg

standard deviation = 0.5 Kg

assume the observed statistic is = 11.1

 now, \bar{X}=11.1 , \mu = 12 , \sigma = 0.5

assuming the number of sample = 4

n = 4

Hypothesis test:

H₀ : μ≥ 12

Ha : μ < 12

now,

significant level α = 0.05

z* = \dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

z* = \dfrac{11.1-12}{\dfrac{0.5}{\sqrt{4}}}

     z* = -3.60

Test statistics, Z* = -3.60

P-value

P(Z<-3.60) = 0.002 (from z- table)

P- value = 0.002

now,

reject the value of H₀ when P-value < α

    0.002 < 0.05

since, it is less P-value < α , we have to reject the null hypothesis

5 0
3 years ago
Scores from an exam are normally distributed with a mean of 85 and a standard deviation of 5. Suppose 188 students take the exam
charle [14.2K]

The mean is \mu=85 and standard deviation is \sigma=5. Then the variable X\sim N(85,5).

Use substitution Z=\dfrac{X-\mu}{\sigma}=\dfrac{X-85}{5}, then the variable Z\sim N(0,1).

The probability Pr(X>80) can be calculated in the following way:

for X=80, Z=\dfrac{80-85}{5} =-1 and Pr(X>80)=Pr(Z>-1). From the diagram Pr(Z>-1)=0.34+0.34+0.135+0.025=0.84.

Conclusion: if 188 students take the exam, then 188·0.84=157.92 (157) would receive a score above 80

4 0
3 years ago
Read 2 more answers
Eva incorrectly classifies the quotient -(-81/-9) as positive.
NISA [10]
The answer is negative because, ( -81/-9) =(+9). -(+9) = -9. Maybe for got the - sign before the equation
6 0
3 years ago
1.
ASHA 777 [7]

Answer:

Step-by-step explanation:

Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,

Rule to be followed,

A(x, y) → P(-y, x)

Therefore, A(1, 1) → P(-1, 1)

Similarly, B(3, 2) → Q(-2, 3)

C(2, 5) → R(-5, 2)

Triangle given in second quadrant will be the triangle PQR.

If the point P of triangle PQR is reflected across a line y = x,

Rule to be followed,

P(x, y) → X(y, x)

P(-1, 1) → X(1, -1)

Similarly, Q(-2, 3) → Y(3, -2)

R(-5, 2) → Z(2, -5)

Therefore, triangle given in fourth quadrant is triangle XYZ.

6 0
3 years ago
You buy a new laptop for $300.
Y_Kistochka [10]

Answer:

$318

Step-by-step explanation:

since sales tax is 6%, multiply 300 by 1.06 to find the total cost

6 0
3 years ago
Read 2 more answers
Other questions:
  • Is the product of 16 squared and 4/7 rational or irrational? explain your reasoning .
    14·1 answer
  • Tamika wants to double the volume of a square pyramid. What should she do? a-Double the height and the sides of the square.
    7·2 answers
  • Explain, using an example, why need to multiply when converting from a larger unit to a smaller unit?
    6·1 answer
  • Is 11/12 less that or greater than 1/2
    15·2 answers
  • Simplify the expression (4x − 3)(x + 5).
    8·2 answers
  • If f(x)=2x+5 <br> find f(6)
    6·2 answers
  • Albert mixes 10 grams of 15% sugar and 25 grams of 10% sugar syrup. How many grams of sugar does the mixture contain.
    10·2 answers
  • -7+(63/9) Evaluate the Following Expression
    6·1 answer
  • Help this due today
    8·1 answer
  • Simplify.<br><br> (–28xy) ÷ (–4)<br><br><br> −7xy <br><br> 17ab <br><br> −17ab <br><br> 7xy
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!