answer.
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
Minchanka [31]
2 years ago
9

Two vehicles are driving along a straight roadway at a constant speed. At a certain point in time, a car is 1.2 miles away from

the Welcome to Fabulous Las Vegas landmark sign and is driving at 65 miles per hour. A truck is 0.7 miles away from the same landmark and is driving at 55 miles per hour. (Remember, distance = speed * time. Also take into account how far the vehicle has already traveled). (8 points) Write an expression for total the distance between the car and the landmark, in terms of the number of hours spent driving, if the car is driving away from it. Use “t” to represent the number of hours.
Mathematics
1 answer:
Maurinko [17]2 years ago
7 0

Answer:

The expression for the total distance between the car and the landmark in terms of the number of hours spent driving is given as follows;

1.2 = 65 × t

Where t = 1.2/65 = 0.0185 h = 66.46 seconds

Step-by-step explanation:

The parameters given are;

Distance, d between car and landmark = 1.2 miles

Speed of car = 65 miles/hr

Distance between truck and landmark = 0.7 miles

Speed of car = 55 miles/hr

The expression for the total distance between the car and the landmark as a function of time t is given as follows;

Distance, d = Speed, v × Time, t

Therefore, the expression for the total distance between the car and the landmark in terms of the number of hours spent driving is given as follows;

1.2 = 65 × t

Where t = 1.2/65 = 0.0185 h = 66.46 seconds.

You might be interested in
The distance between place A and place B is 60 miles. the distance from place A to place C is 15% of the distance from place A t
iren [92.7K]

\frac{15}{100}  =  \frac{d}{60}  \\  100d = 900 \\ d = 9

8 0
2 years ago
Read 2 more answers
write an algebraic expression to model each situation. you have a summer job at a car wash. you earn $8.50 per hour and are expe
dybincka [34]
So we know $8.50 per hour
One-time fee of $15 for uniform
x hours per week

y=8.5x-15
8 0
2 years ago
Read 2 more answers
2x+5y=-6 , wht is the x intercept, what is the y intercept
Arlecino [84]
These are the <span>xx</span> and <span>yy</span> intercepts of the equation <span><span>2x−5y=6</span><span>2x-5y=6</span></span>.x-intercept: <span><span>(3,0)</span><span>(3,0)</span></span>y-intercept: <span>(0,−<span>65</span><span>)

</span></span>
7 0
2 years ago
What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve. tions of the equation 9
skelet666 [1.2K]

Answer:

Step-by-step explanation:

Let u^2=x^4\\u = x^2

Subbing in:

9u^2-2u-7=0

a = 9, b = -2, c = -7

The product of a and c is the aboslute value of -63, so a*c = 63.  We need 2 factors of 63 that will add to give us -2.  The factors of 63 are {1, 63}, (3, 21}, {7, 9}.  It looks like the combination of -9 and +7 will work because -9 + 7 = -2.  Plug in accordingly:

9u^2-9u+7u-7=0

Group together in groups of 2:

(9u^2-9u)+(7u-7)=0

Now factor out what's common within each set of parenthesis:

9u(u-1)+7(u-1)=0

We know this combination "works" because the terms inside the parenthesis are identical.  We can now factor those out and what's left goes together in another set of parenthesis:

(u-1)(9u+7)=0

Remember that u=x^2

so we sub back in and continue to factor.  This was originally a fourth degree polynomial; that means we have 4 solutions.

(x^2-1)(9x^2+7)=0

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis.  Factoring (x^2-1) gives us that x = 1 and -1.  The other set is a bit more tricky.  If

9x^2+7=0 then

9x^2=-7 and

x^2=-\frac{7}{9}

You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:

x=±\sqrt{-\frac{7}{9} }

which will simplify down to

x=±\frac{\sqrt{7} }{3}i

Those are the 4 solutions to the quartic equation.

5 0
2 years ago
A poll stated that 32% of those polled think the economy is getting worse. An economist wanted to check this claim so she survey
zysi [14]

Answer:

z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

Step-by-step explanation:

Information given

n=750 represent the random sample taken

\hat p=0.30 estimated proportion of  people who  thought the economy is getting worse

p_o=0.32 is the value that we want to verify

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to check if the true proportion of interest is equal to 0.32 or not.:  

Null hypothesis:p=0.32  

Alternative hypothesis:p \neq 0.32  

The statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing we got:

z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

8 0
2 years ago
Other questions:
  • A share of stock in a pharmaceutical company was worth $30.46 on Monday. On Wednesday, the stock price changed to $45.83. What i
    13·2 answers
  • The box plots compare the number of students in Mr. Ishimoto’s classes and in Ms. Castillo’s classes over the last two semesters
    12·2 answers
  • Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seco
    10·2 answers
  • Janet is drawing the path formed by the parametric equations x=2+3 sin t and y=1-1/2cos t. Which curve did she draw??
    6·1 answer
  • Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below. 4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x
    15·2 answers
  • Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes si
    12·2 answers
  • Determine whether the following statements are true or false. ​(a) When a factor is controlled by setting it to three​ levels, t
    11·2 answers
  • The scores on the LSAT are approximately normal with mean of 150.7 and standard deviation of 10.2. (Source: www.lsat.org.) Queen
    14·2 answers
  • James has saved $24.60. Dillon saved 2/3 of
    12·2 answers
  • Make x the subject of the following relations. 2y+3=5x-18​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!