Least possible value of m and n are 6 and 10.
Given a perfect square is an integer that is also square of an integer.
The given m and n are positive integers such that mn > 15.
To find out the least possible value of mn;
As given 15mn is a perfect square.
[tex]\sqrt{15mn}[/tex] is to be an integer.
[tex]\sqrt{15mn} = \sqrt{5*3*m*n}[/tex]
Now, insert m = 3, n = 5;
⇒ [tex]\sqrt{5*3*m*n} = \sqrt{5^2* 3^2} = 15[/tex]
but it is mn < 15.
So, assume m = 3 * 2, n = 5 * 2;
⇒ [tex]\sqrt{5*3*m*n} = \sqrt{5*3*3*2*5*2} = \sqrt{5^2*3^2*2^2} = 30[/tex]
30 it is an integer.
As we solved that the least possible value of m and n are 6 and 10.
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How can you rewrite -8 -10 as an addition problem?
Answer:
-8 + (-10)
Hope this help!
If pH = -log [H+], find the pH of a substance that has a hydrogen concentration [H+] = 5.7 X 10-4.Round your answer to the nearest ten thousandth (4 decimals).
[H+] = -1.7243
Explanation:
Since [H+] = 5.7 * 10 - 4, in the function -log[H+] representing pH, replace H+
pH = -log [5.7 *10 - 4]
pH = -log[53]
pH = -1.7243
NB:
This number is rounded up from -1.72427.....
3×(9-4)³ - 46×3
A) 1
B) 237
C) 711
D) 987
Answer:
237
Step-by-step explanation:
3×(9-4)³ - 46×3
subtract 4 from 9 to get 5
3x5³-46x3
calculate 5 to the power of 3 and get 125
3x125-46x3
multiply 3 and 125 to get 375.
375-46x3
Multiply 46 and 3 to get 138
375-138
subtract 138 from 375 to get 237.
And there's your answer
You can follow the rule of BODMAS.
BODMAS stands for Bracket, Of, Division, Multiplication, Addition, Subtraction
By following the rule of BODMAS, the solution will be like this:
3×(5)³ - 46×3
= 3×125 - 46×3
= 375 - 138
= 237
I hope my explanation has helped you.
You can do well to declare this answer as the Brainiest Answer.
Thanks so much
Can someone help with questions 3,4 and 5? THANK YOUUU ^^ I did questions 1 and 2
Answer:
Question 3.
[tex]y = \frac{2}{7} x - 3[/tex]
question 4
[tex]y = - 4x - 1[/tex]
question 5
[tex]y = 5x + 3[/tex]
Step-by-step explanation:
Question 3
1.Write down what is given in equation form
[tex]y = \frac{2}{7} x + c[/tex]
2. Insert the given point to work out c
[tex] - 5 = \frac{2}{7} ( - 7) + c[/tex]
[tex]c = - 3[/tex]
3. answer
[tex]y = \frac{2}{7} x - 3[/tex]
Question 4
1 write what was given in an equation
[tex]y = - 4x + c[/tex]
2. insert given point (-1;3) to work out c
[tex]3 = - 4( - 1) + c[/tex]
[tex]c = - 1[/tex]
3. final answer
[tex]y = - 4x - 1[/tex]
question 5
1.with what was given write it in equation form
[tex]y = 5x + c[/tex]
2. substitute the given point (-2;-7) to work out c
[tex] - 7 = 5( - 2) + c[/tex]
[tex]c = 3[/tex]
3.final answer
[tex]y = 5x + 3[/tex]
Model with Mathematics
The owner of a frozen yogurt stand considers different pricing options for a serving of yogurt plus toppings. For what number of toppings do the two options give the same price?
A. Define the variables.
B. Write a system of equations that models this situation.
C. Graph the system. What is the intersection point?
D. What is the solution of the problem?
E. Is the solution reasonable for this situation? Explain.
Answer:
Step-by-step explanation:
A, B: Define the Variables and Write Equations
Let T be the number of toppings.
Option 1: $3 + $0.75*T
Option 2: $4 + $0.50*T
C. Graph the System
See the attached graph. The intersection point is (4,6). This means that 4 toppings will result in a cost of $6 for both yogurt options.
D. Solution to the Problem
The solution is given above, but we can also solve using equations, instead of graphing. We want the value of T that will make these expressions equal:
$3 + $0.75*T = $4 + $0.50*T
$0.25*T = $1
T = 4 toppings
=============
CHECK:
For 4 toppings:
Option 1: $3 + $0.75*T
$3 + $0.75*(4)
$3 + $3 = $6
Option 2: $4 + $0.50*T
$4 + $0.50*(4)
$4 + $2 = $6
Four toppings will make both options equal in cost.
E: Is the solution reasonable?
Yes. The cheaper option ($3) has a more expensive topping, so at some point (at 4 toppings) it will be the same price as the second option, with a higher initial price, but with cheaper toppings.
The following figure shows the entire graph of a relationship.
Does the graph represent a function?
Yes or no
Answer:
No
Step-by-step explanation:
The graph fails the vertical line test. More than one y-value is on one x-value.
a soccer club has 120 members this year, compared to 85 members last year. find the percent increase or decrease
The number of members that the club had last year was 85
The number of members that the club has this year is 120.
The number by which it increased is
120 - 85 = 35
Percentage is expressed in terms of 100. Thus, the percentage increase is
35/85 * 100
= 41.2%
The percentage isncrease is 41.2%
Sixty and sixty eight thousandths
Answer: 60 and 68/1000
Step-by-step explanation:
Not sure if you wanted it in fraction, decimal, or percentage form.
Answer:
60 and 68.000
Step-by-step explanation:
i not sure if that was what u were looking for
with show work. trigonometry
Write an equation point-slope form of the line that passes through the point (3,3) with slope 5/3
We solve as follows:
[tex]y-3=\frac{5}{3}(x-3)[/tex][tex]\Rightarrow y-3=\frac{5}{3}x-5\Rightarrow y=[/tex]A particular bacterium population is found to double the in 20 minutes. If a laboratory culture
begins with a population of P=340 of this bacteria and there is no change in the growth rate, how
many bacteria will be present in t=37 minutes?
Hint: Use equation P = Poekt, where k is the relative growth. Round to two decimal places.
The bacteria present at t=37 minutes is found to be 8.40, with no change in growth rate.
What does population growth exponentially mean?When a population's per capita growth rate remains constant, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.
Given:
P = 340
It has been discovered that a specific bacterial population doubles in 20 minutes.
k = 2/20 = 0.1
t = 37 minutes
We know that,
P = P₀[tex]e^{kt}[/tex]
340 = P₀([tex]e^{0.1*37}[/tex])
340 =P₀(40.44)
P₀ = 8.40
As a result, the bacteria that will be present in t=37 minutes is found to be 8.40 with no change in growth rate.
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express y in terms of x: 6(x-y) = 19
Expressing y in terms of x gives y = x - 19/ 6
What is subject of formulaSubject of formula can be defined as the variable that is being expressed in terms of other variables in an equation, function or expression.
It is also described as the variable that is being worked out in an expression or equation.
It is made to stand alone on on side of the equality sign.
We have the equation;
6(x-y) = 19
To make 'y' the subject of formula, let's take the following steps;
Divide both sides by 6, we have;
x - y = 19/ 6
now, take the variable 'x' over the equality sign
-y = 19/ 6 - x
Divide both sides by -1
y = x - 19/ 6
Hence, the equation is y = x - 19/ 6
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What is the answer to this
|-0.4| ?
Answer:
0.4
Step-by-step explanation:
The absolute value is just the number in the line things but positive.
The absolute value is the distance between a number and zero. The distance between − 0.4 and 0 is 0.4
if |-0.4| is all that is in the question it is 0.4
You have a $25 calling card. calls made using the card within the united states costs $10 per minute. while calls made from the us to france cost $25 per minute. write an inequality that relates the number of minutes x you can use for calls within the us and the number of minutes y you can use from de us and france
Answer:
10× + 25y ≤ 25
Answer:
0.1x + 0.25y ≤ 25
Step-by-step explanation:
A call within the US is $0.10, a call to France is $0.25, and you have $25.00. Your total amount of money spent depends on how many calls you make. Now, turn this information into an inequality.
In survey, 9 out of 11 doctors recommended a certain medicine. If 88 doctors were surveyed, how many doctors recommended the medicine? please answer this asap
Answer:
72 doctors recommended the medicine
Step-by-step explanation:
9 out of 11 doctors recommended the medicine, making it 9/11 there are 88 doctors in total 9/11 doctors out of 88 doctors recommended the medicineso, this becomes multiplication. 9/11*88/1 you get 72What is the value of (−14)3 when evaluated? −2,744 −196 42 2,744
The value of (-14) 3 when evaluated is -42.
Given,
The expression = (-14) 3
We have to evaluate this and find the value.
Evaluating an expression:
Finding the value of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. When evaluating an expression, we change the variable in the expression to the given number and then use the order of operations to simplify the expression.
That is,
(-14) 3 = -14 × 3 = -42
Therefore, the value of (-14) 3 when evaluated is -42
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If you partition a line segment in a ratio of 4:1, what is the fraction?
Answer:
Your answer would be 4 over 1
what is −2x+y=15? i cant undestand
Step-by-step explanation:
it is a linear equation
Normally two if them are given together to solve
hope it helps
Three consecutive intergers are such that four times the least integer is three times the greatest . What is the greatest of this integers? A-16, B-8, C-10, D-12, E-14
If we call the middle number in the sequence [tex]x[/tex], the numerical values of the other terms will be [tex]x-1[/tex] and [tex]x+1[/tex], respectively, since they are consecutive.
We are told that [tex]4[/tex] times the smallest number is equal to [tex]3[/tex] times the largest number. Let us write our equality.
[tex]4(x-1)=3(x+1)[/tex][tex]4x-4=3x+3[/tex][tex]4x-3x=4+3[/tex][tex]x=7[/tex]We found our number in the middle. Since it wants the value of our largest number, let's add 1 to the middle number.
[tex]x+1=7+1=8[/tex]The answer is B.
What is -3 times 4??
Answer:
-12
Step-by-step explanation:
hope it helps
have a nice evening
Monique built a wooden frame woth dimensions 0.8m by0.5m.how much wood will be left from a 3.4m length of timber
Answer: 0.8 m
Step-by-step explanation:
1. The perimeter P of the wooden frame is equal to:
P=2(0.8+0.5)
P=2(1.3)
P=2.6 m
2. The remaining length of wood is equal to:
3.4-2.6=
0.8 m
PLEASE SOMEONE HELP ME
question 6
The exponential function in the graph shows the value, in dollars, of an investment over time. What real-world information is given by each feature of the graph?
THE TWO PICTURES GOES WITH QUESTION 6
Question 12
Evan runs a website that has gotten quite popular. However, its popularity seems to be decreasing and the site is now getting 7% fewer hits each week. If Evan's site got 34,000 hits this week, how many weekly hits can he expect it to get 3 weeks from now?
Round to the nearest whole number.
A. 134,360 hits
B. 27,348 hits
C. 41,651 hits
D. 714,000 hits
Considering exponential functions, it is found that:
6.
(1.7.5): The value after one year.y-intercept of 10: starting value.12. The number of hits 3 weeks from now will be of 27,348, hence option B is correct.
What is an exponential function?An exponential function is modeled according to the rule given next:
[tex]y = ab^x[/tex]
The parameters of the exponential function are defined as follows:
a is the y-intercept, which is the numeric value of the function when x = 0.b is the rate of change of the function.For item 6, considering the points (0,10) and (1,7.5), the parameters are given as follows:
y-intercept of 10, which is the starting value.When x = 1, y = 7.5, given the value after one year.For item 12, the initial amount and the rate of change are given as follows:
a = 34,000, b = 1 - 0.07 = 0.93.
Hence the number of hits x weeks from now is modeled according to the following function:
[tex]h(x) = 34000(0.93)^x[/tex]
After 3 weeks, x = 3, hence the number of hits will be of:
[tex]h(3) = 34000(0.93)^3 = 27348[/tex]
Meaning that option B is correct.
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Graph the image of rectangle CDEF after a translation 4 units left and 9 units up.
The graph of the image of rectangle CDEF after a translation 4 units left and 9 units up is as shown below.
In this question, we have been given the image of rectangle CDEF.
The coordinates of rectangle CDEF are:
C = (-6, -6)D = (-2, -6)E = (-2, 0)F = (-6, 0)
The rectangle CDEF is a translated 4 units left and 9 units up.
When rectangle CDEF is a translated 4 units left then the coordinates of rectangle would be,
C' = (-10, -6)
D' = (-6, -6)
E' = (-6, 0)
F' = (-10, 0)
Then rectangle C'D'E'F' is translated 9 units up then the coordinates of rectangle would be,
C'' = (-10, 3)D'' = (-6, 3)E'' = (-6, 9)F'' = (-10, 9)
The graph of the image of rectangle CDEF after a translation 4 units left and 9 units up is as shown below.
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what is the highest in order from least to greatest
Answer:
Least to greatest: 1. International finance center
2. Petronas towers
3. Zifeng towers
4. Burj Khalifa
Manvita deposits Rs. 5000 in her bank account after two days. She withdraws Rs.
3748 from it. If the amount deposited is a positive integer. How will you represent
the amount withdrawn and also find the balance amount in the account?
If the amount deposited is a positive integer , so the amount withdrawn is represented by -3748 and the balance amount in the Manvita's account is Rs 1252 .
In the question ,
it is given that
Money deposited by Manvita = Rs 5000 .
Money withdrawn by Manvita = Rs 3748 .
Since , amount deposited is a positive integer ,
So, the amount withdrawn will be a negative integer
Balance in Manvita's account = Money deposited + Money Withdrawn
Substituting the values , we get
Balance in Manvita's account = 5000 + (-3748)
= 5000 - 3748
= 1252
Therefore , if the amount deposited is a positive integer , so the amount withdrawn is represented by -3748 and the balance amount in the Manvita's account is Rs 1252 .
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Four students are sharing 1/3 carton of yogurt
equally. How much yogurt will each student
get
Answer: 1/12
Step-by-step explanation:
1) Set up the equation
1/3 / 4
2) Change 4 into a fraction
1/3 / 4/1
3) Change the divide into a multiply by flipping the 2nd fraction
1/3 * 1/4
4) Solve
1/12
Determine the y-value of each ordered pair based on the given x-value
y= -x + 9; (-9, ), (1, ), (5, )
Brainfiy to correct person
The value of y in each case are 18,8 and 4 respectively.
Given equation:-
y = -x + 9
Values of x = {-9, 1, 5}
We have to find the corresponding values of y for each value of x.
Putting x = -9 in the given equation, we get,
y = -(-9) + 9 = 9 + 9 = 18
Putting x = 1 in the given equation, we get,
y = -1 + 9 = 8
Putting x = 5 in the given equation, we get,
y = -5 + 9 = 4
Hence, the values of y are {18, 8,4}
The complete ordered pair of (x,y) is given by:-
(-9,18)
(1,8)
(5,4)
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Why do visit the zoo on cold days
Answer:
How is this math?
Step-by-step explanation:
Answer:
Visiting the zoo on cold days limits the number of people there and it isn't too hot so you don't stand in the sweltering heat. Besides, on cold days, the animals may be in a better mood, but be cautioned, remember to bring a jacket just in case.
Step-by-step explanation:
41.4 is what percent of 92?
Answer: 45
41.4 is 45 percent of 92
Answer: 45%
Step-by-step explanation:
Solution for 41.4 is what percent of 92:
41.4:92*100 =
(41.4*100):92 =
4140:92 = 45
Now we have: 41.4 is what percent of 92 = 45
Question: 41.4 is what percent of 92?
Percentage solution with steps:
Step 1: We make the assumption that 92 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: 100%=92.
Step 4: In the same vein, x%=41.4.
Step 5: This gives us a pair of simple equations:
$100%=92(1).
$x%=41.4(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100%/x%= 92/41.4
Step 7: Taking the inverse (or reciprocal) of both sides yields
x%/100% = 41.4/92
-> x=45%
Therefore, 41.4 is 45% of 92.
The perimeter of AMUD is 38cm.
m/D=
MD=
14cm
360
Blank 1:
Blank 2:
cm
M
D
The side MD measures 10 cm and ∠D=72° for the given triangle.
What is triangle?
A shape with corners and three vertices is called a triangle. It is one of the most fundamental geometric shapes. Triangle ABC is the designation for a triangle containing vertices A, B, & C. In Euclidean geometry, all three points that are not collinear produce a singular triangle and a singular plane.The perimeter of ΔMUD= 38cm
MU=DU=14cm
∠U=36°
⇒∠M=∠D=x
Applying Angle sum property,
36°+x+x=180°
2x=180°-36°
x=72°
∴∠D=72°
Perimeter of triangle=14+14+MD
38=28+MD
⇒MD=10cm.
The side MD measures 10 cm and ∠D=72° for the given triangle.
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