Answer:
9x²-3x+1Step-by-step explanation:
The rate of the change of the car is is its speed.
Speed = distance/time
Given
Distance = 27x³-9x²+3x
Time = 3x hours
Speed = 27x³-9x²+3x/3x
factor out 3x from the numerator:
Speed = 3x(9x²-3x+1)/3x
Speed = 9x²-3x+1
Hence the rate of the car is 9x²-3x+1
1. Darla's piggy bank is full, so she plans to empty out all of the coins, roll as many as possible to deposit
into her savings account, and put the remaining coins back into the piggy bank. Rolls of pennies and
dimes consist of 50 coins each, while rolls of nickels and quarters consist of 40 coins each.
(9 points: Part 1 - 2 points; Part II - 2.5 points; Part III - 2 points; Part IV - 2.5 points)
Part II: How much will Darla deposit into her savings account?
U.S.)
Answer:
The number of coins is missing, so I looked for a similar question:
Darla counted 472 pennies, 319 nickels, 436 dimes, and 271 quarters
Darla can make:
9 rolls of pennies (worth $4.50)
7 rolls of nickels (worth $14)
8 rolls of dimes (worth $40)
6 rolls of quarters (worth $60)
total amount of money = $118.50
3. Determine if the graph below is a function.
Explain your reasoning.
Answer:
A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.
Step-by-step explanation:
Which coordinate pair is a solution of the linear
equation below?
-X + 3y = 21
Click on the correct answer.
(3,-8)
(-3,8)
(3,8)
Answer:
slope is 4/3 and y intercept is -7
Step-by-step explanation:
3y+21=4x.........now subtract 21 from each side
3y=4x-21......now divide all terms by 3
y=%284%2F3%29x-7......there ya go ...slope is 4/3 and y intercept is -7
Answer:
B (-3,8)
Step-by-step explanation:
awnser A is incorrect because if you switch out the x for 3 and the y for -8. The equation would look like -3+3×(-8)=21. and after multiplying 3×-8 which equals -24. The equation turns into -3+(-24)=21 . And after adding -3 and -24 you get -27=21
awnser B is correct because if you switch out the x for -3 and the y for 8. The equation would look like -3+3×8=21. After multiplying 3×8 which equals 24. The equation turns into -3+24=21. And after adding -3and 24 which is pretty much subtracting you get 21=21.
Best apologies if incorrect
The mean of the standard normal distribution is 1 and the standard deviation is 0. Group of answer choices False True
Answer:
True
Step-by-step explanation:
The standard normal distribution is special case of normal distribution which centers at 0 thus the mean μ of standard normal distribution is zero and the dispersion from mean value is unity measured by standard deviation σ.
Thus, the mean of standard normal distribution is zero and standard deviation is unity.
7) Order the numbers from least to greatest.
A. 6.66
B. 6.07
C. 7
D. 6.32
the Answear is B,D,A,C
What Is f(0) ?
Choices
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1 2 and 12
Answer:
12 only
Step-by-step explanation:
It means x is zero, and the only point on x=0 is 12 :)
According to the graph the function f(0) is 12 only .
What is intercepts?The x-intercept is the point where a line crosses the x-axis or at y = 0, and the y-intercept is the point where a line crosses the y-axis or at x =0.
According to the question
The graph shows the function in which
f(0) is
i.e
x = 0 or y intercept
Now, according to the graph
at x = 0 , y = 12
Or
f(0) = 12
Hence, The function f(0) is 12 only .
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Consider the following probability distribution function of the random variable X which represents the number of people in a group (party) at a restaurant: X P(X) 1 0.10 2 0.25 3 0.20 4 0.20 5 0.10 6 7 0.05 8 0.05 a. Find the population mean of X. b. Find the population variance and standard deviation of X. c. Find the probability that the next party will be over 4 people. d. Find the probability that the next three parties (assuming independence) will each be over 4 people.
Answer:
(a) 3.55
(b) 3.45 and 1.86
(c) 0.25
(d) 0.016
Step-by-step explanation:
The random variable X denotes the number of people in a group (party) at a restaurant.
(a)
The formula to compute the mean is:
[tex]\mu=\sum {x\cdot P(X=x)}[/tex]
Consider the Excel sheet attached.
The mean is, 3.55.
(b)
The formula to compute the variance is:
[tex]\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}[/tex]
Consider the Excel sheet attached.
Compute the variance as follows:
[tex]\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}\\\\=16.05-(3.55)^{2}\\\\=3.4475\\\\\approx 3.45[/tex]
The variance is, 3.45.
Compute the standard deviation as follows:
[tex]\sigma=\sqrt{\sigma^{2}}\\\\=\sqrt{3.45}\\\\=1.85742\\\\\approx 1.86[/tex]
The standard deviation is, 1.86.
(c)
Compute the probability that the next party will be over 4 people as follows:
[tex]P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\=0.10+0.05+0.05+0.05\\\\=0.25[/tex]
Thus, the probability that the next party will be over 4 people is 0.25.
(d)
Compute the probability that the next three parties will each be over 4 people as follows:
It is provided that the three parties are independent.
P (Next 3 parties will be each over 4) = [P (X > 4)]³
[tex]=(0.25)^{3}\\=0.015625\\\approx 0.016[/tex]
Thus, the probability that the next three parties will each be over 4 people is 0.016.
(x-3) (x2+2x+1)
Foil method
Step-by-step explanation:
(x-3)(x^2+2x+1)
=x^3-3x^2+2x^2-6x+x-3
=x^3+2x^2-3x^2-6x+x-3
=x^3-x^2-5x-3
___________
Round 24.9652 to
1 decimal Place
Answer:
2.5 one decimal rounding off means to make it to one decimal place.the no is 24.9652 if you want to round of then you have to put decimal after 2 only then it will be one decimal place .this is because when we see a number after the point greater than 5 then we add 1 to the right side .now if we add 1 to the right side of 24.9652 by rounding off and making it to one decimal place then it will be 2.5.
point Q was rotated about the origin (0,0) by 180
Answer:B
Step-by-step explanation:
The coordinates of the image of the rotation of the point Q is:
Q' = (4, 2)
What is the image of the rotation?
We can see that the original coordinates of point Q are (-4, 0).
If we apply a rotation of 180° about the point (0, 0), it is equivalent to a reflection around the y-axis.
It only changes the sign of the x-component.
Then the image of the rotation is:
Q' = (4, 0)
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A math class consists of 26 students, 14 women, 10 men, and 2 non-binary. Two students are selected at random to participate in a probability experiment. Compute the probability that:
Answer:
there's a higher probability for females
which direction would the graph of y=|x+5|-1 open?
a. down
b.up
c.right
d.left
The answer fam is.......... "b.up"
Please help me ASAP!!
Answer:
bottom right
Step-by-step explanation:
Answer:
(2067+49) x 21
Step-by-step explanation:
A carpenter cut a 13 1/2 foot piece of wood into 3/4 foot pieces. After cutting the wood, how many pieces did the carpenter have
Answer:
18
Step-by-step explanation:
Turn the mixed number into an improper fractions: 13 × 2 = 26, 26 + 1 = 27Re-write improper fraction: [tex]\frac{27}{2}[/tex] [tex]\frac{27}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex] = [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{3}[/tex] [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{3} = \frac{108}{6}[/tex] 108/6 = 18I hope this helps!
Which of the following is equal to the opposite of −45?
−|45|
−|−45|
−(−45)
−45
Which of the following statements does not represent the same value as the others?
the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9
All of the following are true statements except _____.
|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93
If you move from zero to 15 on the number line, you are representing all of the following except _____.
the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15
All of the following expressions are equal to N except _____.
−(− N )
− N
| N |
|− N |
Answer:
The first one
Step-by-step explanation:
The sum of two consecutive numbers is 253. Which of the following equations
describes this situation?
A) 3n-1= 253
D) 2n+2= 253
B) 2n+1= 253
E) n+2= 253
C) 2n= 253
Answer:
EEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
EEEEEEEEEEEEEEEEEEEEEEEEE
The situation is a linear equation, and the equation that describes the situation is 2n + 1 = 253
How to determine the equation of the situation?Let the smaller number be n.
So, the consecutive numbers are n and n + 1
When the numbers are added, we have:
Sum = n + n + 1
This gives
Sum = 2n + 1
The sum is 253.
So, we have:
2n + 1 = 253
Hence, the equation that describes the situation is 2n + 1 = 253
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A 168-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Answer:
42
Step-by-step explanation:
168 Inches. One is three times the length of the other so, the bigger piece is 3/4 while the shorter is 1/4. Simply multiply 1/4 by 168. You get 42.
Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T=80+20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges. Who buys the less expensive printer
Answer:
Vanessa, she only needs to buy one ink cartridge according to the question
where Tia has to buy more? I need more info on the question
Step-by-step explanation:
Tia bought less expensive printer.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T = 80 + 20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges.
Equation that represents the cost for Vanessa's printer is -
V = 90 + 25c
Equation that represents the cost Tia's printer is -
T = 80 + 20c
For {c} = 1, the cost for Vanessa's printer is -
V(1) = $115
For {c} = 1, the cost for Tia's printer is -
T(1) = 80 + 20 = $100
Therefore, Tia bought less expensive printer.
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Kumar is opening a lemonade stand. He spent $4.50 to build the stand and $2.50 for lemons and sugar. He has enough ingredients to make 20 glasses of lemonade. How much should he charge for one glass of lemonade to cover his expenses and make $10 in profit?
Round to the nearest cent.
Timed test
Answer:
profit = revenue - cost
10 = 20x - (4.5 + 2.5)
10 = 20x - 7
10 + 7 = 20x
17 = 20x
17/20 = x
0.85 = x
check...
profit = revenue - cost
10 = 20(0.85) - 7
10 = 17 - 7
10 = 10 (correct)
so he would have to sell each cup at 0.85 ccents to make a profit of $ 10
Step-by-step explanation:
Answer:
I cant find the next one hehrh
how many times can 130 go into 22? DIVIDE
130 cannot go into 22.
22 can go into 130 5 times
130 can not go into 22 idk if u meant 22 into 130
How do I write Domain and Range in inequality notation?
Answer:
Step-by-step explanation:To combine two intervals using inequality notation or set-builder notation, we use the word “or.” As we saw in earlier examples, we use the union symbol, \displaystyle \cup∪, to combine two unconnected intervals. For example, the union of the sets \displaystyle \left\{2,3,5\right\}{2,3,5} and \displaystyle \left\{4,6\right\}{4,6} is the set \displaystyle \left\{2,3,4,5,6\right\}{2,3,4,5,6}. It is the set of all elements that belong to one or the other (or both) of the original two sets. For sets with a finite number of elements like these, the elements do not have to be listed in ascending order of numerical value. If the original two sets have some elements in common, those elements should be listed only once in the union set. For sets of real numbers on intervals, another example of a union is
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P0 has doubled in 5 years. Suppose it is known that the population is 9,000 after 3 years.
Required:
a, What was the initial population P0?
b. How fast is the population growing at t = 10?
Step-by-step explanation:
Let the initial population of a community be P0 and the population after time t is P(t).
If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:
[tex]P(t) = P_0e^{kt}[/tex]
at t = 5 years, P(t) = 2P0
substitute:
[tex]2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386[/tex]
If the population is 9,000 after 3 years
at t = 3, P(t) = 9000
a) Substitute into the formula to get P0
[tex]9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24[/tex]
Hence the initial population is approximately 5938.
b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:
[tex]P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97[/tex]
Hence the population of the community after 10 years is approximately 23,746
Please need help thank you
Answer:
31825 is your answer. Hope that helps.
Answer:
Lydia´s address is 8 Cypress street.
Step-by-step explanation:
5 digit.
6 less than 7.
3 and 1 are the product.
Simplify them.
6 - 7 + 3 + 1 = 5
Simplify.
6 - 7 = -1.
Then Simplify.
-1 + 3 = 2.
Simplify.
2 + 1 = 3.
3 + 5 = 8.
Hope this helps.
Have a good night ma´ám/sir.
Be safe!
If the points P(5,2),Q(0,7) and R(-5,2) are drawn on coordinate plane,where must point S be located so that figure PQRS is square.
Answer:
(0, -7) i think
hope this helps :3
sorry if im wrong
How many pounds are in 80 kilograms? Round your answer to the nearest whole number. Note: There are approximately 2.2lbs in a kg.
Answer:
176.37 orrrr 176
Step-by-step explanation:
Answer:
176 pounds
Step-by-step explanation:
2x + 7 = 13
Please help
Answer:
x=3
Step-by-step explanation:
Hope this helps u..
the measure of an angle is 79.7 what is the measure of its complementary angle
Answer:
10.3
Step-by-step explanation:
Answer:
10.3°
Step-by-step explanation:
complementary angles are angles that sum up to 90°.
Therefore the complement of 79.7
= 90-79.7
=10.3°
If a polygon is a pentagon, then it has 5 sides hypothesis conclusion
Answer:
Hypothesis
Step-by-step explanation:
a polygon has five sides Conclusion: it is a pentagon If a polygon has five sides, then it is a pentagon.
hope this helps
HELP ME PLEASE I ALREADY GRAPHED IT BUT PLEASE ANSWER THE QUESTION BELOW
Answer:
32ed
Step-by-step explanation:
6. Doug has been evicted from his home. He sits on the street corner with a homemade
sign asking people to give him food. Doug is wearing only shorts and a t-shirt in the
snowy afternoon. Doug plays his harmonica in hopes of attracting some donors. One
kind soul brings him a cup of hot chocolate. A passerby yells at Doug to "Get a job!"
upsetting Doug so much that he spills the steaming hot chocolate on his leg.