Using the relation between velocity, distance and time, and supposing the group travels for 8 hours a day, it is found that:
1. You were driving 24 hours at 45 mph and 56 hours at 70 mph.
2. You drove 1080 miles at 45 mph and 3920 miles at 70 mph.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
For the first part, we have that:
The velocity is of 45 mph.The distance is of d.The time is of t.Hence:
v = d/t
45 = d/t
d = 45t.
For the second part, we have that:
The velocity is of 70 mph.The distance is of 5000 - d.The time is of 80 - t. (10 days of 8 hours driving = 80 hours).Hence:
70 = (5000 - d)/(80 - t).
d = 45t, hence:
70 = (5000 - 45t)/(240 - t).
5000 - 45t = 5600 - 70t
25t = 600.
t = 600/25
t = 24. -> (80 - 24) = 56.
d = 45t = 45 x 24 = 1080 -> (5000 - 1080) = 3920.
Hence:
1. You were driving 24 hours at 45 mph and 56 hours at 70 mph.
2. You drove 1080 miles at 45 mph and 3920 miles at 70 mph.
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Perform the indicated operation and simplify the result. Leave your answer in factored form.
[tex]\frac{x}{x^{2} -9} +\frac{9}{x}[/tex]
Answer:
[tex]\frac{x }{x^{2}-9 } +\frac{9}{x}=\frac{x^{2} }{x(x^{2}-9) }+\frac{9(x^{2}-9) }{x(x^{2} -9)}\\\\=\frac{10x^{2} -81}{x(x-3)(x+3)}[/tex]
Step-by-step explanation:
Combine like terms to write an equivalent expression. Then use y = 5 to prove the expressions are equivalent. 1 + y + y + y + 1 Complete the statements.
The equivalent expression is . The value of both expressions when y = 5 is . The expressions are .
Answer:
The equivalent expression is
✔ 3y + 2
.
The value of both expressions when y = 5 is
✔ 17
.
The expressions are
✔ equivalent
.
Step-by-step explanation:
Answer:
The equivalent expression is
✔ 3y + 2
.
The value of both expressions when y = 5 is
✔ 17
.
The expressions are
✔ equivalent
.
Step-by-step explanation:
1. Find the value of 3x -2x^2 ; when x = -3. ^ means "power of"
Use the graph or table to find the equation that represents the relationship. PLLSSS HELPPPPP
The equation that is shown by the table is y = 3x - 5
How to use the graph or table to find the equation that represents the relationship?The given parameter is the complete table
From the table, we have the following points
(2, 1) and (1, -2)
Calculate the slope using
m = (y2 - y1)/(x2 - x1)
This gives
m = (-2 - 1)/(1 - 2)
Evaluate
m = 3
The linear equation is represented as
y = m(x - x1) + y1
So, we have
y = 3(x - 2) + 1
Open the bracket
y = 3x - 6 + 1
Evaluate the like terms
y = 3x - 5
Hence, the equation that is shown by the table is y = 3x - 5
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Use a quadratic equation to find two real numbers with a sum of 2 and a product of
−24
Write the answers in the decreasing order of their values.
The two real numbers with a sum of 2 and a product of −24 is -4 and 6.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
Let x represent one number and y represent the other number. The sum of the two real numbers is two. Hence:
x + y = 2
y = 2 - x (1)
The product is -24, hence:
xy = -24
x(2 - x) = -24
2x - x² = - 24
x² - 2x - 24 = 0
x² - 6x + 4x - 24 = 0
x(x - 6) + 4(x - 6) = 0
(x + 4)(x - 6) = 0
x = -4 and x = 6
The two real numbers with a sum of 2 and a product of −24 is -4 and 6.
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Which table correctly lists the reason to prove Line 1 = line 3 given that AB intersects CD
Answer:
D
Step-by-step explanation:
D
Answer: D
Step-by-step explanation: i just took the test
In a situation where the sample size was 28 while the population standard deviation was increased, what would be the impact on the confidence interval?
A) It would become narrower due to using the t distribution
B) It would widen with more values
C) It would become wider due to using the z distribution
D) It would become wider with more dispersion in values
Answer:
C; It would become wider due to using the z-distribution
Step-by-step explanation:
Mathematically, we go on to look at the formula for confidence interval calculations here
The formula involves multiplying z by the s
which is the z-value and the standard deviation
Increasing the standard deviation value means we are increasing the product of multiplying z and s
This means that we are getting a larger value for the multiplication
Thus, we now have a wider confidence interval value as a result of a larger product
So this means that the CI would become wider due to the usage of the z-distribution
2. Billy's Bikes charges an initial fee of $5 per day to rent a beach cruiser, plus
$2.00 per hour. Which graph models this situation? *
Graph it
562 ÷ Choose... = 14 R2
Answer:
7868
Step-by-step explanation:
⇒ This can be written algebraically (with a variable x) as:
562 ÷ x = 14
⇒ Convert the division as a fraction:
[tex]\frac{562}{x}[/tex] = 14
⇒ Multiply both sides by 562 to get rid of the fraction and to isolate the variable x:
562 · [tex]\frac{562}{x}[/tex] = 14 · 562
⇒ Simplify:
x = 7868
Answer: 7868
Hope this helps! :)
The students in an eighth-grade class had a dance. They spent $500 for a local band. The equation below can be used to find the total profit, y, if the students sold x tickets to the dance.
f(x) = 4x – 500
Simone invests $8000 in an account that compounds interest quarterly and earns 5%. How many years will it take for his money to double?
Plz help ASAP I’ll give brainliest 47 minutes to answer hurry
5
6
7
8
10
Ray created the list of factors for 48 below.
48: 1, 2, 3, 4, 6, 7, 8, 12, 16, 24, 48
Which number should be removed from his list to make the list accurate?
7
ОООО
16
Answer:
the factors of 48 are 1 2 3 4 6 7 8 12 16 24 48
17.
Which of the following are equiangular quadrilaterals?
a. parallelogram and rectangle
b. trapezoid and rhombus
c. square and rhombus
d. square and rectangle
e. none of these
4. (2)
Divide $27,000 into 3 parts so that the second part is three times the first and the
third part is twice the second.
Answer:
the first part is $2700
the second part is $8100
the third part is $16200
Step-by-step explanation:
Call the first part a (a>= 0)
=> the second part 3a
=> the third part 2.3a = 6a
Because the total of three parts is 27000 so we have:
a + 3a + 10a = 27000
<=> 10a = 27000
<=> a = 2700 (satisfied)
so
the first part is: a = $2700
the second part is: 3a = 3 . 2700 = $8100
the third part is: 6a = 6 . 2700 = $16200
p/s: actually there are some word I don't know how to express them in English. So please notice to correct them
fill in the blanks /49=1/7
Answer:
7/49 = 1/7
Step-by-step explanation:
sueuhsjadsi
Can someone help me with this question?
(2,5) and (10,3) What is the slope and the y-intercept
Answer:
slope is -1/4
y intercept is 11/2
Step-by-step explanation:
the slope is (3-5)/(10-2) = -2/8 = -1/4 (using the slope formula)
the y intercept we can set up an equation, y= mx + b
we already know m, which is -1/4 (the slope), and to find b, we could just plug in one of the points to get
5 = (-1/4)*2+b
solve the equation
b = 11/2
A plane takes off at 50 feet below sea level and climbs 1,542 feet. At what altitude is the plant currently flying?
Answer:
-1492
Step-by-step explanation:
1) based on the given conditions, formulate:
50-1542
2) calculate:
50-1542= -1492
Help please
6. Super Bowl Ages Listed below are the ages of the same 11 players used in the preceding
exercise. How are the resulting statistics fundamentally different from those found in the pre-
ceding exercise?
41 24 30 31 32 29 25 26 26 25 30
a. Mean of data set = 29
b. Median of data set = 29
c. Mode of data set= 25, 26, 30
d. Midrange of data set = 32.5
What is mode of data set?
Mode of a data set is the value that appears the most often in a data set.
Given that;
Super Bowl ages listed below,
41, 24, 30, 31, 32, 29, 25, 26, 26, 25, 30,
Now, Calculate mean of the data as,
Mean = 41 + 24 + 30 + 31 + 32 + 29 + 25 + 26 + 26 + 25 + 30 / 11
= 319 / 11
= 29
And, Calculate Median of data as;
Firstly arranged in ascending order,
24, 25, 25, 26, 26, 29, 30, 30, 31, 32, 41
Since, There are 11 numbers (odd).
Hence, Median = 29
And, Calculate Mode of data set as;
Since, Mode of a data set is the value that appears the most often in a data set.
So, Mode = 25, 26, 30
Since, Midrange of data set is exactly halfway between the minimum and maximum numbers in a set of data.
So, Midrange = 41 + 24 / 2
= 65/2
= 32.5
Thus, Mean of data set = 29
Median of data set = 29
Mode of data set= 25, 26, 30
Midrange of data set = 32.5
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The complete question is this;
Super Bowl Ages Listed below are the ages of the same 11 players used in the preceding exercise. How are the resulting statistics fundamentally different from those found in the preceding exercise?
41 24 30 31 32 29 25 26 26 25 30
Calculate the value of;
A. Mean
B. Median
C. Mode
D. Midrange
A spinner is divided into equal sections of three possible colors. There are 2 yellow
sections, 2 blue sections, and 4 red sections. Use the drop-down menus to complete the
statements about the likelihood of the given events related to the spinner.
Spinning a blue is unlikely
Spinning a red or yellow is likely
Spinning another colour is impossible
Spinning red is neither likely nor unlikely
Distinguishing Likelihood From ProbabilityFundamentally crucial is the contrast between probability and likelihood: While likelihood is attached to hypotheses, probability is attached to potential outcomes. This first column's goal is to clarify this distinction.
The set of potential outcomes is complete and mutually exclusive. Let's say we ask a participant to forecast the results of ten coin flips. There are only 11 potential outcomes (0 to 10 correct predictions). One and only one of the potential outcomes will ever be the actual outcome. Therefore, the probability associated with the potential outcomes must add up to 1.
Contrary to outcomes, hypotheses are neither exhaustive nor mutually exclusive.
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A system of equations is shown. `4x + 3y = 8` `4x` `–` `3y =` `-16` solve for x
Answer:
(-1;4).
Step-by-step explanation:
[tex]\left \{ {{4x+3y=8} \atop {4x-3y=-16}} \right. \ + \ = > \ \left \{ {{8x=-8} \atop {4x+3y=8}} \right. \ = > \ \left \{ {{x=-1} \atop {4x+3y=8}} \right. \ = > \ \left \{ {{y=4} \atop {x=-1}} \right.[/tex]
at the local fair one barn is displaying chickens and rabbits. there are 140 chickens and 160 rabbits. each animal is in its own cage the cages will be arranged in equal rows without mixing animal types. what is the greatest number of animals that can be in each row.
Answer:
the answer would be 10 animals in each row without mixing up the animals
Step-by-step explanation:
Fill in the blank with the correct response.
Twenty-seven is 25% of _____.
Answer:
70
Step-by-step explanation:
Answer:
its 108
Step-by-step explanation:
27x4=108
Valeri ran 2 miles in 20 minutes if she continue to run at the same rate how far will she have ran after 50 minutes
PLEASE HELP i will mark u brainliest
Answer:
Help: If 30 miles takes up 1 gallon what’s 30x15?
Step-by-step explanation:
If the simple interest on $5,000 for 9 years is $2,700, then what is the interest rate?
The rate is?
PLZZZZZ HELP
Answer:
the interest rate is 3/5
Step-by-step explanation:
i=prt
2700= 5000•r•9
2700= 45000r
2700/45000= 45000r/45000
2700/45000= r
*reduce the fraction to simplest form*
r= 3/5
A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 8 cm more than the shorter leg and the hypotenuse 16 cm more than the shorter leg. what’s the perimeter of the triangle ?
The perimeter of the triangle is 3x + 24 cm.
What is the perimeter of the triangle?A right triangle is a three-sided triangle that is made up of a length, base and the hypotenuse. The hypotenuse is the longest side of the right triangle The sum of the square of the two other sides of the triangle is equal to the square of the hypotenuse. The sum of angles in a right triangle is 180 degrees.
The perimeter of a right triangle is the sum of the length of the three sides of the triangle.
Perimeter = hypotenuse + base + height
Base = x Height = 8 + x Hypotenuse = 16 + xPerimeter = x + 8 + x + 16 + x
3x + 24 cm
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Use Pythagorean Theorem to solve for side length AC. Round your answer to the
nearest tenth.
34 m
41 m
O AC 62.4 m
O AC = 56.2 m
O AC- 75.0 m
O AC = 53.3 m
Answer: AC=53.3
Step-by-step explanation:
So we got the genious's theory that we all love/hate with
a^2 + b^2 = c^2
Now the longest side which in our case is also side (AC) is always gonna be C. So remember the longest side is always C. Since they give us the other 2 sides, we know those sides are (A) and (B) in the theorem.
So lets substitute.
34^2 + 41^2 = C^2
Simplify and It Equates to:
1156 + 1681 = c^2
2837 = c^2
Now Square Both Sides to cancel out that pesky ^2 on the (C) variable.
And you get 53.26 which rounds to 53.3 on your test. Good Luck!
What error did Wanda make?
None. Wanda’s work is correct.
Wanda converted the percent to a decimal incorrectly. It should be 0.073.
Wanda converted the percent to a decimal incorrectly. It should be 0.73.
Wanda has the wrong label. It should be hours, not dollars.
Answer:
C
Step-by-step explanation:
the guy above sucks
None. Wanda’s work is correct.
Wanda converted the percent to a decimal incorrectly. It should be 0.073.
Wanda converted the percent to a decimal incorrectly. It should be 0.73.
Wanda has the wrong label. It should be hours, not dollars.
Step-by-step explanation:
A computer costs $320. If the sales tax is 7%, what is the amount of sales tax?
Answer:
22.4
Step-by-step explanation:
Answer:
$22.40
Step-by-step explanation:
To find the amount of sales tax you have to multiply the price by the decimal form of the percent of sales tax.
In this situation, you would multiply 320 by .07.
(320)(.07) = 22.40
Therefore, the amount of sales tax is $22.40.
I hope this helps!!
- Kay :)
Is this equation an identity? 2c − 2c = 0
Answer:
no it is. not
Step-by-step explanation:
but some consider it an identity but it's not