The accompanying graph shows the amount of water left in Rover's water
dish over a period of time. How long did Rover wait from the end of his
first drink to the start of his second drink?
Answers
Answer:
Step-by-step explanation:
The answer is 30
Related Questions
A sales person starts working 40 hours per week at a job with 2 options for being paid . Option A is an hourly wage of $19. Option B is a commission rate of 8% on weekly sales.
How much does the sales person need to sell in a given week to earn the same amount with each option?
A. $9,500
B. $4,750
C. $760
D. $320
Answers
Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)
Now, according to option b, he will get 8% commission on weekly sales.
Let. x = the amount of weekly sales.
To earn the same amount of option A, he will have to equal the 8% of x to $760
So, \(\sf \dfrac{8x}{100}=760\)
Or, \(\sf 8x= 76000\)
Or, \(\sf x= \dfrac{76000}{8}=9500\)
the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.
Solve F(x)=2x²+3x+5
Help please, very difficult.
Answers
Answer:
No Solution
Step-by-step explanation:
6. A hot air balloon rises from the ground. Does the height of the balloon vary directly with the time it has been in the air? How do you know? Time (minutes) 5 7 10 15 Height (feet) 70 98 140 210
Answers
yes, it vary directly with the time, because:
\(\begin{gathered} \text{let:} \\ h=\text{height} \\ t=\text{time} \\ h(t)=kt \\ \text{Where:} \\ k=\text{constant of proportionality} \end{gathered}\)For t = 5 , h = 70
so:
\(\begin{gathered} 70=k\cdot5 \\ k=\frac{70}{5} \\ k=14 \end{gathered}\)If:
\(\begin{gathered} t=7\colon \\ h(7)=14\cdot7=98 \\ t=10\colon \\ h(10)=14\cdot10=140 \\ t=15\colon \\ h(15)=14\cdot15=210 \end{gathered}\)Since there is a constant of direct proportionality for each of the values, the function varies directly
Create a system of equations of the form x ≡ c1 (mod n1) and x ≡ c2 (mod n2) that has more than one solution in \(Z_{n1n2}\)
Answers
Answer:
Step-by-step explanation:
it's hard, I tried to do it but it didn't work
is -29 a whole number, integer, or rational number
Answers
Answer: its a integer...
Step-by-step explanation: it cant be a whole number its negitive and also doesn't look like a rational number those are mostly fractions decimals ect its prob a interger
The population, in millions of people, of the United States can be represented by the recursive
formula below, where a represents the population in 1910 and n represents the number of years
since 1910.
ao
an 1.015a, - 1
Identify the percentage of the annual rate of growth from the equation a,, = 1.015a, - 1
= 92.2
=
Write an exponential function, P, where P(t) represents the United States population in millions
of people, and t is the number of years since 1910.
According to this model, determine algebraically the number of years it takes for the population of
the United States to be approximately 300 million people. Round your answer to the nearest year.
Answers
53 years for the Population of the United States to reach 300 million people according to this model.
The recursive formula of the population of the United States is given by ao = an1.015a - 1
Let's solve this to get a formula that is not recursive.a0 = a0 givena1 = 1.015a0 - 1a2 = 1.015a1 - 1 = 1.015 (1.015a0 - 1) - 1 = 1.0152 a0 - 1.015 - 1a3 = 1.015a2 - 1 = 1.015(1.015²a0 - 1.015 - 1) - 1 = 1.015³ a0 - 1.015² - 1.015 - 1a4 = 1.015a3 - 1 = 1.015(1.015³a0 - 1.015² - 1.015 - 1) - 1 = 1.015⁴ a0 - 1.015³ - 1.015² - 1.015 - 1an = 1.015na0 - 1.015n-1 - 1.015n-2 - ... - 1.015 - 1We can rewrite this asan = a0(1.015)
where a0 is the population of the United States in 1910 (92.2 million people) .
Now, we need to write an exponential function to find the population of the United States as a function of time in years since 1910.P(t) = 92.2(1.015)
To find the number of years it takes for the population to reach 300 million people, we need to solve the equation92.2(1.015)t = 300
Dividing both sides by 92.2, we get1.015t = 3.2596
Taking the natural logarithm of both sides, we get ln(1.015) = ln(3.2596)t = ln(3.2596)/ln(1.015) ≈ 53.2
Therefore, approximately 53 years for the population of the United States to reach 300 million people according to this model.
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In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
Answers
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Hugo is building a deck. He has
twelve pieces of wood that are 10½
feet long. He needs to cut them into
3¼ foot sections. How many 3¼
sections can he get from each piece
of wood?
Answers
Answer:
3 pieces from each board
Step-by-step explanation:
Givens
12 pieces of wood each 10 1/2 feet long
required: each piece will produce x number of wood 3 1/4 feet long.
Formula
number of pieces = 10 1/2 - x * 3 1/4 x is an integer.
Solution
The formula must produce a length that is less than 10 1/2.
The only way I can think to do this is by guessing until you get a number greater than 10 1/2 and then subtract 1 from that value of x.
Let x = 4
number of pieces = 10 1/2 - 4 * 3.25
number of pieces = 10 1/2 - 13
number of pieces = - 2 1/2 The board is too short to give 4 pieces each one of which is 3 1/4. You would need a board that is 2 1/2 feet longer.
4 is too many. So try 3
number of pieces = 10 1/2 - 3 * 3 1/4
number of pieces = 10 1//2 - 9 3/4
number of pieces = 3/4 The board will produce 3 pieces that are 3 1/4 feet loong. 3/4 of a foot is waste.
Each board produces 3 pieces
There are 12 boards
Therefore 3 * 12 = 36 pieces
In the figure, XYZ and MNL
Find m
Answers
Answer:
∠ Y = 124°
Step-by-step explanation:
given the triangles are congruent , then corresponding angles are congruent, that is
∠ Y = ∠ N = 124°
if the area of a square is a^2 +10a +25 which of the following binomials represents the length of each of it sides
Answers
The binomials represents the length of each of it sides = a + 5.
The given expression is;
a² + 10a + 25
It represents the area of square.
Since area of square = (side)²
Therefore,
(side)² = a² + 10a + 25
= a² + 5a + 5a + 25
= a(a+5) + 5(a+5)
= (a+5)(a+5)
= (a+5)²
⇒(side)² = (a+5)²
Taking square root both sides
Hence
side of square = a + 5
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A group of friends wants to know how many students bike to school.
Based on the median of the samples what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number!
Answers
A reasonable estimate of the number of students that bike to school is given as follows:
15 students.
What does a box and whisker plot shows?A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:
The minimum non-outlier value.The 25th percentile, representing the value which 25% of the data-set is less than and 75% is greater than.The median, which is the middle value of the data-set, the value which 50% of the data-set is less than and 50% is greater than%.The 75th percentile, representing the value which 75% of the data-set is less than and 25% is greater than.The maximum non-outlier value.The median is the middle value inside the box, hence it is given as follows:
15 students.
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Help help help math ASAP
Answers
Answer:
-2,480
Step-by-step explanation:
This means we will be multiplying the numbers together with how they are formatted,
(31)(-80)
-2,480
Since only one of the numbers is negative, the final product will also be negative.
(Explanation) it’s simple math
Determine the area, in square centimeters, of
this quarter circle with a radius of 8 cm. Use 3.14
for π and round your answer to the nearest
hundredth.
Answers
Step-by-step explanation:
quarter circle means that you just find the are and then divide it by 4.
hence,
(3.14 × 8²) ÷ 4 = answer
the answer is 50.24 cm²
hope this helps.
Answer: 6.28
Step-by-step explanation: In order to get your answer, the equation that you need to do is 8 X 3.14 / 4 to get your answer.
What next number 3 4 6 9 13 18 24
Answers
Answer:
I think it 31
Step-by-step explanation:
Answer:
31
Step-by-step explanation:
3+1=4
4+2=6
6+3=9
9+4=13
13+5=18
18+6=24
24+7=31
you start with one 3+1=4but everytime you add you add an extra 1
I need a few help on these questions...
Answers
yaaaaaaaaaaa i need somebody to help me please
Answers
Answer:
1 \(\frac{3}{7}\)
Step-by-step explanation:
\(\frac{10}{7}\)
divide 10 by 7 = 1 remainder 3
the 1 is a whole number and the 3 is the amount of seventh's left , then
\(\frac{10}{7}\) = 1 \(\frac{3}{7}\)
4) Students in Ms. Udon
science class planted 13
conifers in different places
around the school yard. They
measured the heights (in inches)
of the conifers one month after
planting them. How many
conifers are greater than 6 1/4
inches tall but less than 8 1/2
inches tall?
Answers
Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.
This shows, with dots, the number of times that each of the measures appears in a data set.
For finding the dot plot, we have that:
The shortest conifer measures 6 and 1/4
= 6.25 inches.
The tallest conifer measures 9.5 inches.
The difference is:
9.5 - 6.25 = 3.25 inches.
Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.
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The amount of money deposited into an account in a given year is multiplied by a growth factor of x = 1 + r. $800 is
deposited at the start of the first year; an additional $300 is deposited at the start of the next year, and $625 at the start of
the following year. Write an expression that represents the amount of money in the account at the end of the three years.
Answers
Answer:
800(1 + r)³ + 300(1 + r)² + 625(1 + r)
Step-by-step explanation:
At the beginning of the first year $800 is deposited.
At the end of the first year the amount of money in account = $800 × growth factor = 800(1 + r)
At the beginning of the second year, $300 is deposited, the money in account = 800(1 + r) + 300
At the end of the second year the amount of money in account is multiplied by growth factor. = [800(1 + r) + 300] × 1 + r = 800(1 + r)² + 300(1 + r)
At the beginning of the third year, $625 is deposited, the money in account = 800(1 + r)² + 300(1 + r) + 625
At the end of third year the money = [800(1 + r)² + 300(1 + r) + 625] × 1 + r = 800(1 + r)³ + 300(1 + r)² + 625(1 + r)
How can you Divide the number 30 into 4 equal parts? Or can you?
Answers
Answer:
7.5
Step-by-step explanation:
thirty divided by 4 is 7.5 or 7 1/2
Answer:
That might be possible though.
Step-by-step explanation:
If you divide 30 by 7.5, you'll get 4. With any other number, you'll get 3,10,6,5,1, and 30. If you use a decimal, it might be possible it'll give you the answer you wanted.
A box of tangerines that weighs 5 pounds costs $4.25.
What is the cost per pound?
Answers
Answer:
$0.85
Step-by-step explanation:
$4.25 divided by 5 pounds equals $0.85 per pound.
Answer:
$0.85
Step-by-step explanation:
Find the unit rate.
4.25/5=x/1
Solve for x. X= 4.25/5=0.85
So 1 lb of tangerines costs $0.85.
HELP PLEASE!!!!!
Which statement describes the system of equations?
x+2y=2
x-2y=-2
It has infinitely many solutions.
It has no solution.
It has one solution (0, 1).
It has one solution (4, –1).
Answers
1)eliminate y
x + 2y + x -2y = 0
2x = 0 x = 0
2)eliminate x
x + 2y - x + 2y = 4
4y = 4
y = 1
Please answer this correctly without making mistakes
Answers
Answer:
first is 2.51
next is 2.76
Step-by-step explanation:
add .25 to each one
Let S be the universal set, wiere:
S= {1, 2, 3, ..., 18, 19, 20}
Let sets A and B be subsets of S, where:
Set A=
= {1, 2, 3, 5, 7, 10, 11, 13, 18, 20}
Set B = {2, 4, 5, 6, 8, 11, 14, 15, 16, 17, 18, 19, 20}
Find the following:
LIST the elements in the set (A U B):
(AU B) = {
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set (AN B):
(AN B) = {
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
You may want to draw a Venn Diagram to help answer this question.
Answers
A U B is the set containing all elements from both A and B:
A U B = {1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20}
A ∩ B is the set containing all elements that are common to both A and B:
A ∩ B = {2, 5, 11, 18, 20}
A statue that is 6 feet tall casts an 8-foot-long shadow. A nearby building casts a 30-foot-long shadow. What is the height of the building?
Answers
22.5feet
Explanations:The sketch of the diagram that represents the statement is given as:
In order to determine the height "H" of the building, we will use the similarity theorem of the triangle as shown:
\(\frac{H}{30}=\frac{6}{8}\)Cross multiply
\(\begin{gathered} 6\times30=8\times H \\ 180=8H \\ H=\frac{180}{8} \\ H=22.5feet \end{gathered}\)Hence the height of the building is 22.5feet
one angle has twice as many degrees as another angle the um of the degrees in both angles is 150 degrees if n represents the smaller angle how many degrees are in that angle?
Answers
Answer:
60°
Step-by-step explanation:
Two angles are complementary if one of the angles is double the other angle find the two angles
Complementary angles mean that the two angles, when added together, equal 90°. Let's call the first angle x, and its second, complementary angle 2x. So, we have x + 2x = 90. ... The second angle, 2x, is just twice the first angle, so its measurement is 60°.
find the difference between (-2,3) and (6,3)
Answers
Answer:
5.099
Step-by-step explanation:
Answer:
The difference between (-2,3) and (6,3) is 8
Step-by-step explanation:
The rectangular floor of a classroom is 36 feet in length and 30 feet in width. A scale drawing of the floor has a length of 12 inches. What is the area, in square inches, of the floor in the scale drawing?
Answers
Answer:
120 square inches
Step-by-step explanation:
L = 36 feet
W = 30 feet
Scale:
l = 12 inches (1 foot)
w = 10 inches because 30/36 = 10/12..
10x12 inches = 120 square inches
what equations has the same solution as
4x + 4y = 72
2x + 2y = 36
Answers
The linear equation in two variables with the same solution is 8x + 8y = 144.
What is linear equation in two variables?It is of the equation form ax + by + c = 0, where a, b and c are real numbers with two different solutions for the equation comprising the values of x and y. They may differ and sometimes becomes equals too.
There are different ways to solve such equations such as:
Elimination methodGraph methodSubstitution methodCalculation:To have the same solution as of equation, 2x + 2y = 36 and 4x + 4y = 72.
So, we'll double the equation to have the same solution.
Hence,
Same solution equation: 2 × (4x + 4y = 72)
⇒ 8x + 8y = 144
The linear equation in two variables with the same solution is 8x + 8y = 144.
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write a function for the table
please help I don't get it
Answers
Answer:
y = 2x - 5
Step-by-step explanation:
Let us consider the points (- 2, - 9) & (0, - 5)
Equation of line in two point form is given as:
[y-(-9)]/[-9-(-5)] = [x - (-2)]/[-2 - 0]
(y + 9)/(-9 +5) = (x + 2)/ (-2)
(y + 9)/(-4) = (x + 2)/(-2)
(y + 9)/(2) = (x + 2)/(1)
(y + 9) = 2(x + 2)
y + 9 = 2x + 4
y = 2x + 4 - 9
y = 2x - 5
This is the required function.
What is 1 2/3 - 2 1/3