Answer:
144
Step-by-step explanation:
54+90=144
144-90=54
90+54=144
144-54=90
Which of the following functions has a maximum value of m, where m is a positive constant?
With explanation please.
The value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]: Option D is correct.
For any function to have a maximum, the differential of the function must be equal to zero.
If the functions in options A and B and C are differentiated and equated to zero, the values of m in each function will tend to zero as well.
For the function [tex]f(x)=-(m+x)^2[/tex]
[tex]f'(x) = -2(m+x)\times 1\\f'(x)=-2(m+x)\\0 = m+x\\m = -x[/tex]
Since the value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]
Learn more here: https://brainly.com/question/12185438
The number 62 is less than the number of tickets sold in a day at an amusement park. Which of the following inequalities represents the number of tickets sold in a day at the park?
A.
x > 62
B.
x < 62
C.
x = 62
D.
x < 64
Answer:
A
Step-by-step explanation:
because > means more than the other number
15. Reid earns $15 for each lawn he cuts. He wants to buy a new bike that costs
$109. How many lawns will he need to cut in order to have enough money?
what is 5/8 - 1/2 ??
Answer:
1/8
Step-by-step explanation:
First convert 1/2 to eighths:
1/2 = 4/8
5/8-4/8= 1/8
Hope this helps! :)
Un conjunto de 10 000 observaciones tiene una distribución normal con media de
450. Si 1700 de ellas están comprendidas entre 450 y 460. ¿Cuál es la desviación
estándar?
Answer:
567898765
Step-by-step explanation:
please help me with this sum
Answer:
lol no34532534
Step-by-step explanation:
Here is a better picture!
Answer:
Part A: A) [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
Step-by-step explanation:
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Part A:Use the Quotient Rule of Exponents:
[tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]
The 28 and 21 can be reduced by dividing both of them by 7. For the exponential expressions with the same base, you could subtract their exponents. I'll do each base separately so it doesn't get confusing.
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Base y:[tex]y^{15-5}[/tex] = [tex]y^{10}[/tex] (in the numerator).
Base w:[tex]w^{4-3}[/tex] = w (in the denominator. The "w" in the numerator cancels out).
Base z:[tex]z^{7-7}[/tex] = [tex]z^{0} = 1[/tex] We used the Zero Exponent Rule here, were it states: [tex]a^{0} = 1[/tex]. (unnecessary to include in the final answer).
Altogether, you'll have:
Option A: [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
The average distance from Earth to the Moon is approximately 384,400,000 kilometers.
What is the average distance, in kilometers, from Earth to the Moon written in scientific notation?
A 3.844 x 10^4 kilometers
B 3.844 x 10^5 kilometers
C 3.844 x 10^7 kilometers
D 3.844 x 10^8 kilometers
9514 1404 393
Answer:
D. 3.844 × 10^8 kilometers
Step-by-step explanation:
To write the number in scientific notation, put a decimal point after the most significant digits and write the rest of the significant digits after that. Multiply the number by the power of 10 that tells how many digits are between the most significant digit and the decimal point.
Here, the number has 8 digits between the most-significant digit (3) and the decimal point. Any trailing zeros are assumed to be not significant when the number is written without a decimal point. So, the number is written ...
3.844 × 10^8 km
Write the equation of the line with a slope of -3/4 and a y-intercept of 8 in slope
intercept form
how can i estimate 75.78 - 49.381 by first rounding each number to the nearest whole number
Find the product of 44.6 and 2.34.
Answer:
104.364
Step-by-step explanation:
Product means multiplication so:
44.6×2.34 = 104.364
A truck can be rented from Company A for $80 a day plus $0.40 per mile. Company B charges $40 a day plus $0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing miles, the rental costs are the same from either company
How do I Graph 2y=-8
NO LINKS!!!
Please help me with parts b and c.
9514 1404 393
Answer:
b. A × B = GCF(A, B) × LCM(A, B)
c. 15 = GCF × LCM / 20
Step-by-step explanation:
b. The products of the numbers in the table are 80, 108, 216, 45.
The products of the corresponding GCF and LCM are 80, 108, 216, 45.
Conjecture: the product of the numbers is equal to the product of the GCF and LCM.
__
c. GCF×LCM = 5×60 = 300 = A×B = 20×B
B = 300/20 = 15
The other number is 15, found by using the conjecture of part b.
_____
Additional commentIf you think for a minute about what the GCF and LCM are, you realize the relationship discussed in this problem must be the case. Consider the factors of two numbers A and B:
A = (factors in common with B) × (factors unique to A)
B = (factors in common with A) × (factors unique to B)
The GCF, by definition, are (factors in common between A and B).
The LCM, by definition, is the product of unique factors:
(common factors) × (factors unique to A) × (factors unique to B)
__
Then the product of the LCM and the GCF is ...
GCF × LCM =
(factors in common) × ((factors in common) × (unique to A) × (unique to B))
Using the associative and commutative properties of multiplication, we can rearrange this product to be ...
((factors in common)×(unique to A)) × ((factors in common)×(unique to B))
= A × B
__
Personally, I use a kind of diagram to represent the factorization of A and B and their LCM and GCF:
[unique to A (common] unique to B)
Then A = factors in [ ], and B = factors in ( ). The stuff in (common] is the GCF, and the overall product is the LCM.
Using the example of part c, this would look like [4 (5] 3), so A = 4·5 = 20 and B = 5·3 = 15. The GCF is 5, and the LCM is 4·5·3 = 60.
The end parts [unique to A( and ]unique to B) can have no common factors. Any common factors must reside in the (common] part.
Rationalise 10/√7-√2
[tex] \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} [/tex]
[tex]\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
( Decimal: [tex]2.36543...[/tex])
Steps:
1: Convert element to fraction.
[tex]\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }[/tex]
[tex]=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
2: Since denominator are equal, combine the fractions.
[tex]\frac{a}{c}[/tex] ± [tex]\frac{b}{c} =\frac{a+b}{c}[/tex]
[tex]=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
-----------------------
[tex]\sqrt{2} \sqrt{7} =\sqrt{14}[/tex]
[tex]=\frac{10-\sqrt{14} }{\sqrt{7} }[/tex]
Rationalize [tex]\frac{10-\sqrt{14} }{\sqrt{7} }[/tex] : [tex]\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
[tex]=\frac{10\sqrt{7}-7\sqrt{2} }7}[/tex]
The radius of a circle is 3 yards. What is the circle's circumference?
Hello there! The formula for finding the circumference of a circle is
[tex]C=\pi d[/tex]
We are given that the radius is 3.
Don't worry! We can find the diameter. The diameter is 2 times the radius, so the diameter is 6 yards.
Now multiply π by 6:
C=18.8 yards
Hope this helps you! Please mark Brainliest if it does!
~Just a joyful teen
[tex]SilentNature[/tex]
What is the decimal equivalent of 9.7 X 10^5
Answer:
B)
Step-by-step explanation:
9.7×10⁵= 970000
Hope this helped you- have a good day bro cya)
pls I need help, it's due tomorrow!!
Answer:
1)
Angle 1: 59
Angle 2: 88
Angle 3: 147
2)x =21
Step-by-step explanation:
1)
Angle on a straight line add up to 180 degrees and angles in a triangle add to 180 degrees
2)
Opposite angles are equal. (4x) and (2x+42) are opposite therefore equal, so
4x=2x+42
Minus 2x from both sides
2x = 42
Find 1x by dividing 42 by 2, therefore
X=21
Help with a b and c pleaseee I’ll give brainliest !
Answer:
b. 254.34
c. 3.33
that is the answer I suppose
Find the domain and range of this relation. Is it a function? {(0,0),(1,1),(2,4),4,-6)}
Answer:
Domain: {0,1,2,4}
Range: {0, 1, 4, -6}
Step-by-step explanation:
Hi there!
The domain is the set of all x-values in a relation.
{(0,0),(1,1),(2,4),4,-6)}
The x-values are 0, 1, 2, and 4.
Domain: {0,1,2,4}
The range is the set of all y-values in a relation.
{(0,0),(1,1),(2,4),4,-6)}
The y-values are 0, 1, 4 and -6.
Range: {0, 1, 4, -6}
A function occurs when there is only one y-value for every x-value. This is the case for this relation, so therefore it is a function.
I hope this helps!
Helpppppppppppppppppppppp!!!!!!! Plzzzzzzzzzzzzzzz
Step-by-step explanation:
The sum of the interior angles of a triangle is equal to 180° so we can write
[tex]y + 2y + 3y = 180° \Rightarrow 6y = 180°[/tex]
Solving for y, we get
[tex]y = 30°[/tex]
So the other two angles of the triangle are
[tex]2y = 2(30°) = 60°[/tex]
and
[tex]3y = 3(30°) =90°[/tex]
f(x)=2(x-5)(x+7) What is f(-7)
Answer:
f(- 7) = 0
Step-by-step explanation:
Substitute x = - 7 into f(x) , that is
f(- 7) = 2(- 7 - 5)(- 7 + 7)
= 2 × - 12 × 0
= - 24 × 0
= 0
To form the blue parallelogram, the red parallelogram is dilated using point A as the
center of dilation. Which statement is true?
Answer:
option b
Step-by-step explanation:
have a great day
pls mark as brainliest
Answer:
B
Step-by-step explanation:
each big square below represents one whole. what percent is represented by the shaded area?
Answer:
43%
Step-by-step explanation:
mark me as brainliest please
The number of students spent time useing electronic devices is ? Times the number of hours spent playing sports
(a) The area of a rectangular parking lot is 5964 m².
If the length of the parking lot is 84 m, what is its width?
Answer:
71 m................
area =length *width
5864=84*width
width=5864/84
hence width is 71m
Peter owns a store that sells men's clothing. His most significant monthly expenses to run the store are the cost of retail items and the power bill. This month, he purchased 50 suits for his store. He also
needed to buy 35 pairs of shoes, which cost $25 dollars more than each suit. The expression shows Peter's total expenses for this month:
50 (x) + 35 (x + 25) + 450
What does (x + 25) represent?
А-the cost of 25 suits
B-the cost of each pair of shoes
C-the total cost of the pairs of shoes
D-the price of one suit and one pair of shoes
Answer:
B-the cost of each pair of shoes
Step-by-step explanation:
This is because each pair of shoes cost $25 dollars more than each suit (which is represented by x)
x + 25, represents the cost of each pair of shoes. Option B is correct.
Given that,
This month Peter purchased 50 suits for his store. He also needed to buy 35 pairs of shoes, which cost $25 dollars more than each suit. The expression shows Peter's total expenses for this month
50 (x) + 35 (x + 25) + 450, What x + 25 represents the equation is to e determined.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here,
Let x be the rate of each suit,
and the cost of the shoe is $25 dollars more than each suit. So,
50 (x) + 35 (x + 25) + 450
In the equation, x + 25 represent the cost of each pair of shoe.
Thus, x + 25, represents the cost of each pair of shoes. Option B is correct.
Learn more about polynomial function here:
https://brainly.com/question/12976257
#SPJ2
What is the HCF of two consecutive odd numbers?
Answer :
1 one, it's one hoped this help !
The HCF (Highest Common factor) also called the GCF (Greatest Common Factor) of two consecutive odd numbers is 1. Hope this helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
EASY PLEASE HELP HELP
Write the scale without units: 1 cm:1 km
Answer:
1:1
Step-by-step explanation:
thats how you write scale
mark brainliest pls
f(x)=-9/x, a=-11, I don't know how to do this and I really need help with this. Please help
Answer:
9/11
Step-by-step explanation:
f(X)=-9/X
f(a) =-9/-11
f(a)= 9/11