Answer:
It will take 37.5 minutes for both containers to reach the same amount of water which is 1050 mL
Step-by-step explanation:
1500 - (12 × 37.5) = 1050
600 + (12 × 37.5) = 1050
At 8 a.m., Sothy goes for a walk and plans to walk `10000` steps. At 8:23 a.m., his phone tells him that he has taken `2000` steps.
If he continues at this rate, at what time will he reach `10000` steps?
Answer:
9:55 a.m.
Step-by-step explanation:
Sothy starts at 8 a.m. and plans for 10,000 steps. At 8:23 a.m., she walked 2000. We are solving for when she reaches 10,000 steps.
This means that she walks 2,000 steps in 23 minutes
If she walks 2,000 steps in 23 minutes, then we can multiply by 5 to get 10,000 steps in 115 minutes.
Now, we need to add 115 minutes to 8 a.m.
we can round 115 minutes to 120 minutes.
If you add 120 minutes to 8 a.m., you get 10 a.m.
Now subtract the 5 minutes you added earlier to get 9:55 a.m.
3. Is this graph a function?
This is a function.
This is not a function.
This cannot be determined from this graph.
Answer:
that is a quadratic function so yes it is a function
Step-by-step explanation:
it is a function becausr you can write an equation with it. Hope I could help!
Which of these expressions can be used to calculate the monthly payment for
a 25-year loan for $150,000 at 13.8% interest, compounded monthly?
O A.
OB.
$150 000 0.0115 (1+0.0115) 300
(1+0.0115) 3⁰0 +1
OD.
$150 000 0.0115(1-0.0115) 300
(1-0.0115) 300 -1
O C. $150 000 .0.0115 (1+0.0115) 3⁰⁰0
(1+0.0115) 300-1
$150 000 0.0115(1-0.0115) 3⁰⁰
300
(1-0.0115) 3⁰⁰ +1
The monthly payment for a 25-year loan is $150,000 · 0.01115(1 + 0.0115)^300 / (1 + 0.0115)^300 - 1
What is compound interest?
When you earn interest on both the money you've saved and the interest you've earned, this is known as compound interest.
what is the monthly payment?
The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original amount borrowed, but also the interest that accrues, must be repaid.
Here,
We know that the monthly payment is given as
MP = [Pr(1 + r)¹²ⁿ] / [(1 + r)¹²ⁿ - 1]
Where MP monthly payment, P is the initial amount, r is the rate of interest, and n is the number of years.
we have
r = 0.0115
P = $150,000
n = 25 * 12
n = 300
Then we have
MP = $150,000 · 0.01115(1 + 0.0115)^300 / (1 + 0.0115)^300 - 1
Hence, the monthly payment for a 25-year loan is $150,000 · 0.01115(1 + 0.0115)^300 / (1 + 0.0115)^300 - 1
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Please answer as quick as possible (timed)
Table C is the only table that represents a function
How to identify a function?A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
Based on the definition of function as seen above. Let's check the tables:
Table A has two inputs with the same value (4) but with different outputs. So Table A is not a function
Table B also has two inputs with the same value (9) but with different outputs. Thus, Table B does not represent a function
In Table C each input has exactly one output. Table C represents a function
Table D also has two inputs with the same value (8) but with different outputs. So Table D does not represent a function
Therefore, Table C represents a function
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Given that x is a nonnegative number, a student conjectured that x+4
Which value of x is a counterexample to the student's conjecture?
Responses
A. x=−1/4
(x equals negative one fourth)
B. x=−4
C. x = 1
D. x = 4
The value of x that is a counterexample to the student's conjecture is (a) x = -1/4
How to determine the value of x?From the question, we have the following statement that can be used in our computation:
x = Non-negative number
Student's conjecture:
x + 4 < x²
Using the options, we have:
(a) x = -1/4
x + 4 < x²
-1/4 + 4 < (-1/4)²
3.75 < 1/16 -- false
(b) x = -4
x + 4 < x²
-4 + 4 < (-4)²
0 < 16 -- true
(c) x = 1
x + 4 < x²
1 + 4 < (1)²
5 < 1 -- false
This cannot be used because x is non-negative
(c) x = 4
x + 4 < x²
4 + 4 < (4)²
8 < 16 -- true
The false statements are the counterexamples
Hence, the value of x is (a) x = -1/4
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Complete question
Given that x is a nonnegative number, a student conjectured that x + 4 < x². Which value of x is a counterexample to the student's conjecture?
Responses
A. x=−1/4
B. x=−4
C. x = 1
D. x = 4
A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the triangle to be 8 feet. The area of the logo must be less than 48 square feet. (The school doesn't want to buy more paint.) Write an inequality that describes the possible base lengths (in feet) of the triangle.
Use "b" for the base length of the triangular logo.
Answer:
Step-by-step explanation:
We know that the area of a triangle is given by :-
Let b be the base (in feet) of the triangle .
it is given that , The school wants the height of the triangle to be 6 feet.
Then, the area of triangle will be :-
(1)
The area of the logo must be at most (less than or equal to) 15 square feet.
i.e. Area ≤ 15 square feet (2)
Now, Substitute the value of A from (1) into (2) , we get
Divide both sides by 3 , we get
Write 30 000 000 in standard form.
Answer:
3×10^7
Step-by-step explanation:
Write 30 000 000 in standard form.
=3×10,000,000
=3×10^7
Step-by-step explanation:
this is
3.0 × 10⁷
as 30 000 000 has 7 zeroes (7 sequential and continuously increasing powers of 10 starting with 10¹).
and the first non-zero digit is 3.
What is 7) 952 divided?
Halp for a cookie :) ♥ ♥❣ ❣
*Piece-Wise Defined Functions*
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The function shown in the graph above is a discontinuous function, at x = -2
For values of x less than -2, the left side of the graph is applicable. whose equation is :
[tex]\qquad \sf \dashrightarrow \: y - 0 = \cfrac{1 - 0}{ - 3 - ( - 2)} (x - ( - 2))[/tex]
[tex]\qquad \sf \dashrightarrow \: y = \cfrac{1}{ - 3 + 2} (x + 2)[/tex]
[tex]\qquad \sf \dashrightarrow \: y = - 1(x + 2)[/tex]
[tex]\qquad \sf \dashrightarrow \: y = - x - 2 \:\: ; \:\:x<-2[/tex]
For values of x greater than -2, the right side of the graph is applicable. whose equation is :
[tex]\qquad \sf \dashrightarrow \: y - 4= \cfrac{4 - 2 }{0 - (-2)} (x -0)[/tex]
[tex]\qquad \sf \dashrightarrow \: y - 4 = \cfrac{2}{2} (x)[/tex]
[tex]\qquad \sf \dashrightarrow \: y - 4 = x[/tex]
[tex]\qquad \sf \dashrightarrow \: y = x + 4 \: \: ;\: \: x > - 2[/tex]
So, the correct choice will be Option " A "
Answer:
[tex]\textsf{A.} \quad \begin{cases}-x -2 \quad \text{if}\;x < -2\\x + 4 \quad \;\;\;\text{if}\;x \geq -2\end{cases}[/tex]
Step-by-step explanation:
When graphing piece-wise functions:
An open circle indicates the value is not included in the interval.A closed circle indicates the value is included in the interval.An arrow show that the function continues indefinitely in that direction.From inspection of the given graph:
The equation for the line on the left side of the function has a negative slope and an x-intercept at x = -2.There is an open circle at x = -2 and the line continues to the left.Therefore, the definition of the function is:
[tex]\begin{cases}-x + a \quad \text{if}\;x < -2\\x + 4 \quad \;\;\;\text{if}\;x \geq -2\end{cases}[/tex]
where a is some constant.
The only answer option that matches the given parameters is option A.
ben has 172 to spend on a membership at the fitness club . what is the number of months ben can be a member of the fitness club ?
The number of months Ben can be a member of the fitness club is 7 months .
In the question ,
it is given that Ben wants to join a fitness club ,
initial membership fees for fitness club is = $49.50
monthly fees for fitness club = $17.50
let the number of months be [tex]=[/tex] x
the total fees that Ben paid = $172
So ,according to the question
the equation to represent the situation is
49.50 + 17.50x = 172
17.50x = 172 - 49.50
17.50x = 122.5
x = 122.5/17.50
x = 7
Therefore , Ben can be a member of fitness club for 7 months .
The given question is incomplete , the complete question is
Ben wants to join a fitness club. The fitness club charges an initial membership fee of $49.50 and a monthly fee of $17.50 , Ben has $172 to spend on a membership at the fitness club . what is the number of months ben can be a member of the fitness club ?
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9x + 7y = 3
x - 7y=-8
Answer:
The point at which these lines intersect is (-0.50, 1.07). We can solve this in two ways: mathematically or graphically. Both are described.
Step-by-step explanation:
We have 2 equations, so we'll assume that the question is to find if they intersect, and if they do, where is the point of intersection.
Let's rewite the equations in slope-intercept format of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
1) 9x + 7y = 3
7y = -9x + 3
y = -(9/7)x + (3/7) This line has a slope of -(9/7) and a y-intercept of +(3/7).
2) x - 7y=-8
-7y = -x - 8
y = (1/7)x + (8/7) This line has a slope of (1/7) and an intercept of (8/7)
The line have different slopes, so they will intersect. We can find the intersection point by either graphing or by substitution. We'll do both:
Substitution
We'll rearrange one equation in terms of x and then use that value of x in the second equation. Thuis has the effect of eliminating one of the variables (x or y) so that we can solve for the remaining value of x or y,
We've rearranged both equations so that they have y equal to an expression involving x. If the lines intersect, we know that y in both equations will be the same at that point, so set the equations equal to each other and solve for x:
y = -(9/7)x + (3/7)
y = (1/7)x + (8/7)
Therefore: -(9/7)x + (3/7) = (1/7)x + (8/7)
-(9/7)x -(1/7)x = + (8/7) - (3/7)
-(10/7)x = +(5/7)
x = (5/7)*(-7/10)
x = (-35/70)
x = -0.50
Now we can use this value of x to find y:
9x + 7y = 3
9(-0.50) + 7y = 3
-4.5 + 7y = 3
7y = 3+4.5
y = (7.5/7)
y = 1.07
The point at which these lines intersect is (-0.50, 1.07)
Graphing:
We can also graph the two equations and then look for the intersection. See the attached graph. The lines intersect at (-0.50, 1.07)
The mathematical approach has more certainty, since it does not require interpreting the intersection point on a graph. Use the graphing approach to check the conclusion from the substitution approach.
Write equations of the horizontal and vertical lines that pass through (2,3) .
horizontal line:
vertical line:
A vertical line passing through this point has the following equation is x=2 and A horizontal line passing through this point has the following equation is y=3.
Given that,
The point is (2,3).
We have to find the equation of the horizontal and vertical line that pass through point.
Take the point,
(2,3)
The value of x, in this example 2, will never change for a vertical line. This holds true regardless of y's value.
A vertical line passing through this point has the following equation:
x=2
The value of y, in this case 3, for a horizontal line will also never change. This holds true regardless of the value of x.
A horizontal line passing through this point has the following equation:
y=3.
Therefore, A vertical line passing through this point has the following equation is x=2 and A horizontal line passing through this point has the following equation is y=3.
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A pe class has 484848 students. one group of 242424 students chooses to play volleyball. the teacher then divides the remaining students into as many groups of 555 as possible to shoot baskets. after that, the remaining students (not on a volleyball or basketball team) climb the rock wall. how many students climb the rock wall?
444 students will climb the rock wall.
Given, that A class has 484848 students, one group of 242424 students chooses to play volleyball.
Then the teacher divides the remaining students into as many groups of 555 as possible to shoot baskets.
After that, the remaining students (not on a volleyball or basketball team) climb the rock wall.
Now, we are asked that the students who climb the rock wall
So, from a class of 484848 students if One group of 242424 students is made to play volleyball then there will be 242424 students remaining.
Now, to divide 242424 students into groups of 555 students,
we need to divide 242424 by 555, then we get
242424/555 = 436.8
Now there will be 436 groups of 555 students who will shoot basket and remaining 444 students who will climb the rock wall.
Hence, 444 students will climb the rock wall.
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y=3x−15 in standard form please answer MY GRADES DEPEND ON IT
The equation, y = 3x - 15, written in standard form is 3x - y = 15
Writing an equation is standard formFrom the question, we are to write the given equation is standard form.
The given equation is
y = 3x - 15
The standard form of a linear equation is
Ax + By = C
Where A, B, and C are constants
x and y are variables
Now, we will write the given equation is the standard form of a linear equation.
y = 3x - 15
Substract y from both sides
y - y = 3x - y - 15
0 = 3x - y - 15
That is,
3x - y - 15 = 0
Add 15 to both sides of the equation
3x - y -15 + 15 = 0 + 15
3x - y = 15
Hence, the standard form is 3x - y = 15
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Find the value of y.
7x7x7x7x7x7=7y
HELPPP MEEEEE PLEASEEEE
Answer: 2176 cm^2 i think
Step-by-step explanation:
Answer:
60 cm
Step-by-step explanation:
we can use the Pythagorean theorem:
a^2 = b^2 + c^2 where a is the hypothenuse
so 68^2 = 32^2 + c^2
rearrange: 68^2 - 32^2 = c^2
so 4624 - 1024 = c^2
= 3600
square root of 3600 = 60
missing side = 60 cm
jeremiah is testing the impact of different fertilizers on crop yields. six different fertilizers have been applied to one field. suppose he uses an anova to test whether or not there are differences in yields. how many treatments are in this test?
The impact of different fertilizers on crop which yields six different fertilizers have been applied to one field. here, the number of treatments in the test are 6.
Treatments are the numerous values of the factor.
The factor here is the effect of various fertilizers on crop yields.
Six different fertilizers were used.
As a result, the number of treatments equals the number of different fertilizers used = 6.
Fertilizers supply essential nutrients such as nitrogen to crops, allowing them to grow larger, faster, and produce more food. However, overfertilization can be a problem because it causes greenhouse gas emissions and eutrophication.
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the sales force for a publishing company is constantly on the road trying to sell books. as a result, each salesperson accumulates many travel-related expenses that he or she charges to a company-issued credit card. to prevent fraud, management hires an outside company to audit a sample of these expenses. for each salesperson, the auditor prints out the credit card statements for the entire year, randomly chooses one of the first 20 expenses to examine, and then examines every 20th expense from that point on. which type of sampling method is the auditor using for each salesperson?
Systematic random sampling is the sampling method is the auditor using for each salesperson.
Define sampling method.Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.
Given,
The sales force for a publishing company is constantly on the road trying to sell books. as a result, each salesperson accumulates many travel-related expenses that he or she charges to a company-issued credit card. to prevent fraud, management hires an outside company to audit a sample of these expenses. for each salesperson, the auditor prints out the credit card statements for the entire year, randomly chooses one of the first 20 expenses to examine, and then examines every 20th expense from that point on.
Systematic random sampling is the sampling method is the auditor using for each salesperson.
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A 7-pound box of strawberries costs $12.32. What is the price per ounce?
Step-by-step explanation:
Answer: 9.090909090909091
Step-by-step explanation: Knowing this we can solve. We have 7 pounds, and there are 16oz in 1 pound so we multiply the number of pounds by the number of ounces in 1 pound. 7 x 16 = 112 ounces. So there are 112oz total, which costs $12.32. Now we divide $12.32 by 112oz to find the price per ounce which would be roughly 9.09
A) A box of mass 9 kg contains x articles each of mass 1.2 kg. Write down an expression for the total mass of the box and its contents.
B) How many articles are there in the box if the total mass of the box and articles is 21 kg?
Step-by-step explanation:
A. total mass = 9 + (x × 1.2)
B. 21 - 9 = 12kg
12 ÷ 1.2 = 10 articles.
hope it helps. :)
PLS HURRY!!!Juan divided 12 jar of fish food into 7 equal parts. He feeds his fish one part each day.
What fraction of the jar of food will Juan will feed his fish each day?
Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:1/14
Step-by-step explanation:He divides 1/2 of the jar into sevenths, but if he had the whole jar it would be fourteen parts because 2x7=14, or 14÷2=7
4) What type of slope does the following line have?
Answer: zero slope
Step-by-step explanation:
When the slope of a line is zero it creates a horizontal line.
A blue whale weighs about 200 tons. It eats only small sea creatures called krill. The blue whale
eats 2% of its body weight each day. How many tons of krill does the blue whale eat each day?
Explain your thinking.
Answer:
4 tons of its body weight
Step-by-step explanation:
In this situation you must find 2% of 200. This is simply 4.
Answer: 4 tons
Step-by-step explanation:
the whale eats 2% of itself everyday, so it would be x/200= 2/100 and the whale would eat x tons, which equals 4 so it eats 4 tons of krill a day
The emissivity of a surface coated with aluminum oxide can be approximated to be 0. 15 for radiation at wavelengths less than 5 μm and 0. 9 for radiation at wavelengths greater than 5 μm. Determine the average absorptivity of this surface at 1040. 00 K
For emission of a surface, the average absorptivity of this surface at 1040 K is 0.899705900025.
Knowing that ε1 =0.15 and ε2 = 0.9, we first solve for the average emission, e, as follows:
ε = ε1 [tex]f_λ[/tex] [ λT] + ε2 [1- [tex]f_{λ}[/tex](λT)]
is also solved for reference in calculating fλ
(λ*T) = (5 μm)(1040 K)
= 5200 μm K
[tex]f_{λ}[/tex]= 0.0003921333 when referencing this to a blackbody function.
Moving on, we solve for T1040 using the equation above:
ε = ε1 [tex]f_{λ}[/tex][λT] + ε2[1 -[tex]f_{λ}[/tex]( λT)]
=0.9 + (0.15-0.9)0.0003921333
=0.899705900025
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Find the value of X. Find the m
Answer:
Step-by-step explanation:
all angles of a triangle add up to 180 degrees, so:
3x-40+x+60 = 180
4x = 180 - 60 + 40
4x = 160
x = 40
Check:
LS: RS:
3(40)-40+40+60 180
= 180
because LS = RS,
x = 40
Hope this helps and you understand!!
Rebekah deposited $1500 in a savings account that pays simple annual
interest. After 21 months, she earns $131.25. What is the interest rate
for her account?
The rate of interest for Rebekah's account is 5.25%
Given,
The principal amount deposited by Rebekah, P = $1500
The time period of the deposit, T = 21 months = 5/3 years
The simple interest she got after 21 months, SI = $131.25
We have to find the rate of interest, R;
Simple Interest;
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
Here,
Simple interest, SI = PRT/100
131.25 = (1500 × R × 5/3) / 100
131.25 = 15R × 5/3
131.25 = 25R
R = 131.25/25
R = 5.25%
That is,
The rate of interest for Rebekah's account is 5.25%
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Seventh grade > M.6 Percent of a number: tax, discount, and more SPN
A store pays $871 for a gold ring. The store marks up the price by 26%. What is the
amount of the mark-up?
Round your answer to the nearest dollar: $
Submit
Answer:
$1097.46
Step-by-step explanation:
Assume P is the finall price. The markup of 26% can be written in decimal form as 0.26. This is in additon to the full price paid for the gold ring, so we can add 1.00 to 0.26 to arrive at the factor 1.26. Multiply 1.26 times the store cost of $871 to find the amount after 26% markup:
($871)*(1.26) = $1097.46
the ages of five randomly choose cars in the parking lot are determined to be 7, 9, 3,4, and 6 years old. if we consider these 5 cars in groups of 3, how many groups can be formed?
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Suppose that each semester at a particular community college Manuel has to pay $1478 in tuition and $121 in fees.
If Manuel has x semesters remaining, write an algebraic expression representing the total amount he will need for tuition.
If Manuel has x semesters remaining, write an algebraic expression representing the total amount he will need for the fees.
If Manuel has × semesters remaining, write an algebraic expression representing the total amount of money he will spend for tuition and
Answer:
Step-by-step explanation:
Let x be time, in semesters, remaining before Manuel graduates. We find that Manuel's expenses are:
$1478/semester in tuition, and
$121/semester in fees
1. x semesters remaining: fees
Remaining cost for fees, y, is the product of the fee times the number of semesters, x:
y =($121/semester)*x
y = ($121)*x
2. x semesters remaining: tuition
Remaining cost, y, is the product of the tuition (times the number of semesters, x.
y = ($1478/semester)*x + ($121/semester)*x
y = ($1599)*x
3. x semesters remaining: tuition and fees
Remaining cost, y, is the sum of the products of the tuition (times the number of semesters, and the fees (tix.
y = ($1478/semester)*x + ($121/semester)*x
y = ($1599)*x
Please help me with this (ASAP) 15 POINTS