The area of a square whose side length is (7a^2b^3) is 49a^4b^6
The formula for calculating the area of a square is expressed as:
A = L^2
L is the side length of the square
Given the following parameter
L = 7a^2b^3
Get the area of the square
A = (7a^2b^3)^2
A = 7^2 * a^4 * b^6
A = 49a^4b^6
Hence the area of a square whose side length is (7a^2b^3) is 49a^4b^6
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A kennel charges $15 per day board dogs. Upon arrival, each dog must have a flea bath that costs $12.
Part A: Write a function rule for the total cost for n days of boarding plus a bath.
Part B: How much does a 10-day stay cost?
Part C: Does a 5-day stay cost half as much as a 10-day stay? Explain.
What I Think:
I think the function rule is C=15+12n.
10-day stay cost: 135
5-day stay: 75. No, a 5-day stay does not cost half as much as the 10-day stay.
Is this correct???
Your answer makes sense. Though I would recommend using a different variable for each dog at the kennel. Like D. But other than that you're good!
after spending 5/6 of his January salary on paying school fees, Bikila was left with ksh 1500. how much money did he earn that month?
Answer:
9000
Step-by-step explanation:
Please help I’ll give brainliest
Answer:
ITS D GOOD LUCK WITH YOUR HMK
equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
Step-by-step explanation:
The vertex form of the equation for a parabola is given by
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as
[tex]y = a(x - 1)^2 - 6[/tex]
Also, since the parabola passes through (4, -7), we can use this to find the value for a:
[tex]-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6[/tex]
or
[tex]a = -\frac{1}{9}[/tex]
Therefore, the equation of the parabola is
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
If measure angle 4 is equal to 35 degrees, find the measure angle 2 and measure angle 3.
Answer:
< 2 = 35 degrees and
<3 = 55 degrees
Step-by-step explanation:
<3 = 90-35
= 55 degrees
<1 = 90 degrees
<2 = 180 - 90 - 55
= 35 degrees
Write the equation of the line passing through the points (6,2) and (-2,-2). The equation of the line is [] Please helppp!!
Answer:
Step-by-step explanation:
slope=(-2-2)/(-2-6)=-4/-8=1/2
eq. of line is
y-2=1/2(x-6)
2y-4=x-6
2y=x-6+4
2y=x-2
or y=1/2x-1
Given that [tex]I_0 = 10^-12[/tex] watts/[tex]meters^2[/tex], what is the intensity of a sound for which the decibel level of the sound measures 156? Round off your answer to three decimal places.
The intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²
Decibel level, dB = 10log₁₀(I/I₀) where dB = decibel level = 156, I = intensity at 156 dB and I₀ = 10⁻¹² W/m².
Since we require I, making I subject of the formula, we have
dB/10 = log₁₀(I/I₀)
[tex]\frac{I}{I_{0} } = 10^{\frac{dB}{10} } \\I = I_{0} 10^{\frac{dB}{10} }[/tex]
Substituting the values of the variables into the equation, we have
[tex]I = I_{0} 10^{\frac{dB}{10} }\\I = 10^{-12} 10^{\frac{156}{10} }\\I = 10^{-12} 10^{15.6}\\I = 10^{15.6-12} \\I = 10^{3.6} W/m^{2}[/tex]
I = 3981.072W/m²
I = 3.981 × 10³ W/m²
So, the intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²
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pls help I will put brainliest
26
the number line ticks count by 2
hope this helped :)
C increased by 8 can I get help
Answer:
the answer based on the information provided is c + 8
Step-by-step explanation:
8 added to C is c + 8, since they are unlike terms
You deposit $200 in a savings
account that pays a simple
interest rate of 3.25% per year.
How much interest will you earn
after 5 years?
Answer:
$32.50
Step-by-step explanation:
The equation for simple interest is
Simple Interest=P×r×n
where:
P=Principal amount
r=Annual interest rate
n=Term of loan, in years
so
P=200
r=0.0325
n=5
so 200*0.0325*5=32.5
What is the length of ef in the right triangle below?
Answer:
24
Step-by-step explanation:
You're given a side and a hypotenuse in a right triangle, so you're able to use the Pythagorean Theorem.
[tex]a^{2} + b^{2} = c^{2}\\\\a^{2} + (7)^{2} = (25)^{2}\\[/tex]
Now isolate a on one side and solve for a.
[tex]\\a^{2} = (25)^{2} - (7)^{2}\\\\a = \sqrt{(25)^{2} - (7)^{2}} \\\\a = 24[/tex]
1/2 : 10 = 2 12 : x
What is the value of x
Georgia's baby brother weighed less than 11 pounds when he was born. Which of the following could be the number of ounces Georgia's baby brother weighed? Select all that apply. Note: 1 pound = 16 ounces
Answer:
Georgia's brother > 176 Ounces
Step-by-step explanation:
He weighed LESS THAN 11 pounds, which is equal to 176 ounces. He must have weighed 175 ounces or less.
Answer:
0<x<176
Step-by-step explanation:
OMG I NEED HELP WITH THIS ANSWER RN
The temperature in Little Rock, Arkansas, is 66°F, and the temperature in Lincoln, Nebraska, is 82°F. Which of the following is true?
A.
Little Rock's temperature > Lincoln's temperature
B.
Little Rock's temperature = Lincoln's temperature
C.
Little Rock's temperature < Lincoln's temperature
Answer:
C) Little Rock’s temperature < Lincoln’s temperature
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
The answer would be C.
Little Rock's temperature is less than Lincoln's temperature.
66 < 82
do -24 and -24 cancel each other out
a positive real number is 4 less than anther of the sum of the squares of the two numbers is 72 then find the numbers.
Answer:
3.657 and 7.657 to the nearest thousandth.
Step-by-step explanation:
x - y = 4
x^2 + y^2 = 72
From equation 1
x = y + 4 so
(y + 4)^2 + y^2 = 72
y^2 + 8y + 16 + y^2 - 72 = 0
2y^2 + 8y - 56 = 0
y^2 + 4y - 28 = 0
y = 3.657.
so x = 7.657.
50×54+35-44
Simplification
no spam
steps must
Answer:
=2691
Step-by-step explanation:
=2700+35−44
=2735−44
=2691
A student in a foreign language program learns 15 new words each week. Which graph best represents the relationship between x, the number of weeks the student has been in the program and y, the total number of new words the student has learned
Linear equations are represented by straight line.
The required graph is graph (a).
The given parameters are:
[tex]\mathbf{Rate =15}[/tex]
Let x represents the number of weeks, and y represents the number of words in week x.
So, we have:
[tex]\mathbf{y = Rate \times x}[/tex]
Substitute 15 for Rate
[tex]\mathbf{y = 15\times x}[/tex]
[tex]\mathbf{y = 15x}[/tex]
The above equation means that:
[tex]\mathbf{(x,y) = (0,0)(1,15),(2,30)....}[/tex]
The graph that represents the above ordered pair is graph (a).
Read more about graphs at:
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Answer:
im lost
Step-by-step explanation:
;;..
Jennifer babysat for 5 hours and earned
$52.50. What is her hourly rate of pay?
Answer:
$10.50
Step-by-step explanation:
Answer:
$10.50
Step-by-step explanation:
Just do 52.50 divided by 5 to find the amount she is paid per hour, and that’s 10.5. Meaning she gets paid $10.50 per hour.
Find the area of the circle.
Step- by - Step Explanation:
Area of a circle=πr²
=3.14...×6²
=113.0973355292325
Approximately ≈113.1cm²
Please mark BRAINLIEST if I'm right.
Which of the following fractions is equivalent to 4/20? 1/10
3/15
3/19
2/12
Answer:
your answer is 3/15
Step-by-step explanation:
if im wrong pls let me know
Once the high temperature was 30°F. Then at night the temperature dropped by 23 degrees. does the expression 30 + (-23) mean the temperature at night? explain.
Answer:
7°
Step-by-step explanation:
simple arithmetic duh
An academy requires there to be 3 teachers for every 72 students and 5 tutors for every 60 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 132 students?
can anyone heelp me pls pls
Lotion - Liquid
Suspension - semisolid
Capsule - solid
hope this helps: )
Write and simplify an expression for the difference between the perimeters of the rectangle and the hexagon
Answer:
hey man i need a screenshot or something
Step-by-step explanation:
HELP SOLVE PLEASEEE
Answer:
d. -6x + 2 = -15
p(x) = 3(x + 10x + 5) - 5(x - k)
In the polynomial p(x) defined above, k is a
constant. If p(x) is divisible by x, what is the value
of k?
First, you should simplify the function expression.
3(x2 + 10x + 5) - 5(x-k) = 3x2 + 30x + 15 - 5x + 5k = 3x2 +15x +15 +5k
In order for the polynomial to be divisible by x, all terms need to divide by x with no remainder. The first two terms clearly divide by x. However, the last two do not. In order for this to work out where k is constant, 5k would have to cancel out the +15 term, leaving nothing to divide by x.
So: 15 + 5k = 0
5k = -15
k = -3
Joseph takes his little brother to the local frozen yogurt shop. he doesn't want his brother to spoil his dinner, so he can get no more than three ounces bought. the function consists only of the ordered pairs (0, 0.35), (1,1.35), (2,2.35) and (3,3.35) what is the domain and range of the function?
Answer:
Domain: (0,1,23)
Range: (0.35,1.35,2.35)
Step-by-step explanation: The domain is the set of all the first components of the ordered pairs, and the range is the set of all the second components of the ordered pairs.
NEED HELP ASAP RIGHT ANSWER ONLY 69 POINTS
In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision.
(2,−1), (3,0.5), (6,1.5),
Answer:
A Least Square Regression Line is the best thing to use for this because there is inconsistencies and no direct equation to be able to fill all of these points. They may be outliers and therefore we should use a calculator for a Regression Line to be calculated to find the residual.
Step-by-step explanation:
help me with this question please!!
Answer:
A = 2 pi R^2 + 2 pi R h total surface area
R^2 = 48 2 pi R = 8 * 6^1.2 given
56 pi 6^1/2 - 2 pi R^2 = 2 pi R h f rom first formula
28 * 6^1/2 / R - R = h divide by 2 pi r
28 * 6^1/2 / R = 28 * 6^1/2 / (4 3^1/2) = 7 * 2^1/2
h = 7 * 2^1/2 - 4 * 3^1/2