Answer:
14
Step-by-step explanation:
The value of two positive integers are 14 and 14.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Product of two positive integers are 196.
Sum of two positive integers are minimum.
Now,
Let two positive integers are x and y.
Since, Product of two positive integers are 196.
So, we can formulate;
xy = 196 ... (i)
And, Sum of two positive integers are minimum.
So, we can formulate;
s = x + y
From equation (i);
y = 196/x
Substitute in above equation, we get;
s = x + y
s = x + 196/x
Differentiate with respect to x as;
d/dx (s) = d/dx(x + 196/x)
ds/dx = 1 - 196/x² ... (ii)
Substitute ds/dx = 0, we get;
ds/dx = 1 - 196/x² = 0
1 - 196/x² = 0
1 = 196/x²
x² = 196
x = ± 14
Differentiate equation (ii) again;
d²s/dx² = 0 - (-2 × 196)/x³
d²s/dx² = 392/x³
At point x = 14,
d²s/dx² = 392/8³ > 0
Hence, At x = 14, the value is minimum.
So, we get;
xy = 196
at x = 14
y = 196/14
y = 14
Hence, The value of two positive integers are 14 and 14.
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In the blank next to the distribution shape, type YES if is most often appropriate to use the mean, or NO if it is not.
1.Bell-shaped
2.Bi-model
3.Skewed
4.Symmetric
5.Uniform
=======================================
Explanations:
A bell shaped curve is symmetric, meaning one half is a mirror copy of the other half. The mean, median and mode are both at the same value: at the center (which is where the peak is located). A bimodal curve is one where it has two peaks. This is because it has 2 modes. Both peaks are the same height. If one height was taller, then you'd only have 1 mode. The mean wouldn't be as useful because we'd lose information about the two different modes. The mean would be somewhere in between the two peaks, where not much data points reside. A skewed distribution is one where the tail is pulled from the main group/cluster. This pulls on the mean to be distorted from the center. If the tail is pulled to the right (right-skewed or positively skewed) then the mean is larger than it should be. If the tail is pulled to the left (left-skewed or negatively skewed) then the mean is smaller than it should be. It's better to use the median in this case. Example: home prices where large mansions are large outliers to make the mean larger than it should be, so the median home price is used instead.As discussed in part 1 above, the mean is useful here. A bell shaped curve is one type of symmetric curve, but there are infinitely many other kinds of symmetric curves possible. All that matters is that one side is reflected over the vertical center line to get the other half.A uniform distribution is symmetric. If the left and right endpoints are p and q, then the mean (p+q)/2 is the center and it is useful.Generate the first 7 terms of the sequence defined by Q = 3n+ 5.
Answer:
8,11,14,17,20,23,26
Step-by-step explanation:
Q = 3n+ 5
an=3n+5
a1=3(1)+5=8
a2=3(2)+5=11
a(3)=3(3)+5=14
a4=3(4)+5=17
a5=3(5)+5=20
a6=23
a7=26
Which of the following are correct ways to name Plane B? (Select all that apply)
Plane WYU
Plane WYU
Plane WYV
Plane WYV
Plane XYV
Plane XYV
Plane UWV
Plane UWV
Plane BWY
How do you write x² − 8x in vertex form?
Answer:
Step-by-step explanation:
y=(x-4)^2-16
create a function f(x) such that f(3)=20
Answer:
[tex] f(x) = \frac{20}{3} x[/tex]
Step-by-step explanation:
[tex]f(x) = \frac{20}{3} x \: ... (required function) \\
Plug \: x = 3 \\ f(3) = \frac{20}{3} \times 3 \\ f(3) = 20[/tex]
There are two numbers which add up to 29. If one number is 1 more than the other, find the two numbers.
The required smaller number is 14, and the larger number is one more than that, or 15.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's call the smaller number x. Then the larger number is x + 1, because we know it is one more than the smaller number. We can set up an equation based on the fact that the two numbers add up to 29,
x + (x + 1) = 29
Simplifying this equation, we get:
2x + 1 = 29
Subtracting 1 from both sides, we get:
2x = 28
Dividing both sides by 2, we get:
x = 14
So the smaller number is 14, and the larger number is one more than that, or 15.
To check, we can add the two numbers together:
14 + 15 = 29
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A rescue company determined that 90 out of 100 calls they received were true emergencies. Which describes the fraction of their calls that were true emergencies?
Diego and Amit were trying to solve the equation: x^2-8x=1x 2 −8x=1x, squared, minus, 8, x, equals, 1 Diego said, "I can solve by completing the square. If I add 161616 to each side, I can rewrite the equation as (x-4)^2=17(x−4) 2 =17left parenthesis, x, minus, 4, right parenthesis, squared, equals, 17." Amit said, "I'll subtract 111 from each side and rewrite the equation as x^2-8x-1=0x 2 −8x−1=0x, squared, minus, 8, x, minus, 1, equals, 0. Then I'll use the quadratic formula with a=1a=1a, equals, 1, b=-8b=−8b, equals, minus, 8, and c=-1c=−1c, equals, minus, 1." Whose solution strategy would work? Choose 1 answer: Choose 1 answer: (Choice A) A Only Diego's (Choice B) B Only Amit's (Choice C) C Both (Choice D) D Neither
Answer:
Both.
Step-by-step explanation:
Answer:
both
Step-by-step explanation:
guy above me is right
9x - 6xy + 9 + 9xy - 6
Answer:
3xy+9x+3
Step-by-step explanation:
Simplify each expression.
(a^2b^-3)^2
(a^-2b^2)
Answer:
[tex](a^2b^{-3})^2=(a^4b^{-6})=\frac{a^4}{b^6}[/tex]
[tex](a^{-2}b^2)=\frac{b^2}{a^2}[/tex]
Answer:
1st one is c, the second one is d
Step-by-step explanation:
Norris currently has an account balance of $3,703.05. He opened the account 25 years ago with a deposit of $1,725.95. If the interest compounds monthly, what is the interest rate on the account? (3 points)
Answer:
R = 3.057% per year
Step-by-step explanation:
This is a compound interest question
From the question, we have the following information
P = Principal = $1,725.95.
A = Amount after 25 years = $3,703.05
T = Time = 25 years
n = Compounding frequency = compounded monthly = 12
r = interest rate = ???
The formula to calculate the interest rate in a compound interest question =
r = n[(A/P)^1/nt - 1]
r = 12[($3,703.05/$1,725.95)^1/12× 25 - 1]
r = 3.057%
Therefore, the interest rate on the account is 3.057%
Oscar owns his own towing and auto repair service. He charges $45 for towing and $20 per hour, h, for labor. There is an additional charge for parts, p. Oscar uses this formula to determine the total cost, C, for towing and repairing a car. C = 45 + 20h + p What is the total cost, C, to tow and repair a car that requires four hours of labor and $109 worth of parts?
Answer:
24,28-11 that the answer
Step-by-step explanation:
Total cost C =$229 to tow and repair a car that requires 4hours of labor and $109 worth of parts.
What is total cost?"Total cost is defined as the sum of all the expenses which is required to produce a product."
According to the question,
C=total cost,
h= hour of labor
p = additional charges for parts
Total cost given as
C= 45 +20h + p
h = 4hour
p = $109
Substitute the value in the total cost we get,
C = 45+20(4) +109
=$229
Hence, total cost C =$229 to tow and repair a car that requires 4hours of labor and $109 worth of parts.
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Pentagon JKLMN is similar to pentagon VWXYZ. What is the measurement of angle X? Group of answer choices 60o 120o 150o 30o
===========================================================
Explanation:
Based on the diagram, angles L and X are the top most angles. They correspond to have angle L = angle X = 60 degrees
Though you shouldn't rely solely on a diagram because the figures may be oriented in a strange way. A better way is to look at the letter sequences of JKLMN and VWXYZ
Notice how L and X are the third letters of JKLMN and VWXYZ respectively. This means the letters pair up and are congruent angles (since the polygons are similar). So this is a non-visual way to see how angle L = angle X = 60.
17. Find the mistake below.
Step 1:
9-5(2x + 4 - 3) = -28
Step 2:
9 - 5(2x + 1) = -28
Step 3:
4(2x + 1) = -28
Step 4:
8x + 4 = -28
Step 5:
8x = -32
Step 6:
x = -4
When did the mistake first appear?
A. Going from Step 1 to Step 2
B. Going from Step 2 to Step 3
Ο Ο Ο
C. Going from Step 3 to Step 4
D. Going from Step 4 to Step 5
Answer:
Step
Statement
1
2
3x + 7 = 15
x + 7 - 7 = 15
ža
3
= 15
4.
3
= 3.15
5
r = 45
Which statement is true?
A. Jake made a mistake in step 2.
B.
Jake made a mistake in step 4.
C.
Jake made a mistake in step 5.
OD Jake solved the equation correctly.
Answer:
If the air trolley ended at 60 km and it traveled 20 km- what was its starting position?
Step-by-step explanation: Step
Statement
1
2
3x + 7 = 15
x + 7 - 7 = 15
ža
3
= 15
4.
3
= 3.15
5
r = 45
Which statement is true?
A. Jake made a mistake in step 2.
B.
Jake made a mistake in step 4.
C.
Jake made a mistake in step 5.
OD Jake solved the equation correctly.
Answer:
If the air trolley ended at 60 km and it traveled 20 km- what was its starting position?
Step-by-step explanation:
Step-by-step explanation:
The length of a rectangle is 3 m greater than two times the width. The perimeter of rectangle is 30 meters. What is the length of the rectangle?
Answer:
60
Step-by-step explanation:
i think , hopes this help :)
soud spheucal
balls each of diameter
are dropped into a cylindrice
bearen containin
up to heigne
and are sunny
somengue
diameeld of ene
bearen is 5.6in
wal
Answer:
i think
i think it is not complete please tell the complete the question
Step-by-step explanation:
which point could C be located?
Answer:
Step-by-step explanation:
(-2,-3)
find square root of 56 using long division method
Answer:
7.48331 or 7.5 if you round it
Step-by-step explanation:
Point M is on line segment \overline{LN} LN . Given LN=3x+3,LN=3x+3, LM=4x,LM=4x, and MN=2x,MN=2x, determine the numerical length of \overline{MN}. MN .
Answer:
2 units.
Step-by-step explanation:
It is given that point M is on line segment LN. So,
[tex]LN=LM+MN[/tex] (Segment addition property)
The given values are LN=3x+3, LM=4x, and MN=2x. Substitute these values in the above formula.
[tex]3x+3=4x+2x[/tex]
[tex]3x+3=6x[/tex]
Subtract 3x from both sides.
[tex]3x+3-3x=6x-3x[/tex]
[tex]3=3x[/tex]
Divide both sides by 3.
[tex]1=x[/tex]
[tex]x=1[/tex]
The value of x is 1.
Now,
[tex]MN=2x=2(1)=2[/tex]
Therefore, length of MN is 2 units.
Great questions! Now, I'll tell you:
First, perform a rotation 90 degrees clockwise.
Then. translate the figure 1 unit left and 3 units down.
Drag the green points to reflect the new shape. What are points K', L', M', and N'?
Answer:
answer:
the answer is -5
step-by-step explanation:
for an instance you lost 3 fingers of your one hand only to lose the other two then you won't have any finger in one hand therefore you have 5 less (-5) fingers. charot
Seven added to the product of 10 and k is less than or equal to 47
Answer:
7 + 10 + k - 47
Step-by-step explanation:
Just a slight bit late
two consecutive numbers that lie between the square root of 10
Answer:
3, 4
Step-by-step explanation:
9 < 10 < 16
=> sqrt(9) < sqrt(10)<sqrt(16)
=> 3 < sqrt(10) < 4
Best answer will get brainly
Answer:
6 bars on the histogram
2 of the bars represent 12+students with complete paintings
the actual fraction is 2 out of 6 I believe
Step-by-step explanation:
A solid with a volume of 11cm is placed in a graduated cylinder with 50mL of water. The solid will displace how much water?
Answer: i think 4.54cm
Step-by-step explanation:
Use the drop-down menus below to state the sequence of transformations that maps Figure A A onto Figure B B in the animation below. Then use those transformations to determine: are the two figures congruent? Use the drop-down menus to explain why or why not.
Answer:
nonrigid and segement lengths ar enot
Step-by-step explanation:
i need help with these two questions
Which whole number property was used?
23 + 2 = 2 + 23
Commutative Property of Addition
Associative Property of Addition
Identity Property
Answer:
Commutative Property of Addition
Step-by-step explanation:
Answer:
Commutative Property of Addition
Step-by-step explanation:
Is it true that all while numbers are integers
Answer:
n o
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
A whole number is a number greater than or equal to zero that does not have any fractions and/or cannot be written with a fractional component. It can also be defined as an integer, though it should be noted that integers include negative numbers. 3, 5, 14, 2, and 0 are all whole numbers and are also all integers. 1.5, 16.32, and -4.598 are not whole numbers and are thus not integers.
quick question please help!
Answer: for this u neeed to find out the coefficient umbers
Step-by-step explanation:
Caleb is selecting cards from a set of 12 cards numbered 1-2-4-4-5-5-5-5-6-9-10-13.
What is the probability that Caleb selects a 5 on the first selection, returns the card to the deck, shuffles the card, and then draws a 5 on the second selection? Express your answer as a fraction in lowest terms.
1-2-4-4-5-5-5-5-6-9-10-13.
Step-by-step explanation:
it back ward