Answers
Recall that to evaluate an equation at a given value, we substitute the variable by the given value.
Also, recall that:
\((ab)^2=a^2b^2.^{}\)Therefore, substituting s=8ft in
\(A=s^2,\)we get:
\(A=(8ft)^2\text{.}\)Simplifying the above equation we get:
\(\begin{gathered} A=8^2ft^2, \\ A=64ft^2\text{.} \end{gathered}\)Answer: Option A.
Related Questions
If z = 38 and x = 110, then what is the value of y?
Answers
Answer:
First I need the whole question and second I am guessing around 76 or 72.
Step-by-step explanation:
2(-2b)+2b=-8 what does b equal
Answers
Answer:
b = 4
Step-by-step explanation:
\(2(-2b) + 2b = -8\)
Open the brackets & simplify the terms (which were in brackets).\(=> -4b + 2b = -8\)
\(=> -2b = -8\)
Divide both the sides by -2\(=> \frac{-2b}{-2} = \frac{-8}{-2}\)
\(=> b = 4\)
ASAP!!! Find the surface area of this net.
Answers
Answer:
240 cm
Step-by-step explanation:
18*12= 216
+
4*3*2= 24
216*24= 240
How can you move just one number to a different
triangle to make the sum of the numbers in each
triangle equal? (Hint: There do not have to be
exactly 3 numbers in each triangle.)
Answers
Answer:
Remove 9 from triangle B to A
Step-by-step explanation:
Given
Three Triangles
A: 1,2,3
B: 7,8,9
C: 4,5,6
Required
Make their sum equal
First, we need to calculate the sum in each triangles;
\(A = 1 + 2 + 3\)
\(A = 6\)
\(B = 7 + 8 + 9\)
\(B = 24\)
\(C = 4 + 5 + 6\)
\(C = 15\)
Remove 9 from triangle B to A
\(A = 6 + 9\)
\(A = 15\)
\(B = 24 - 9\)
\(B = 15\)
At this point, we have:
\(A = 15\) \(B = 15\) \(C = 15\)
Hence, the solution is to remove 9 from B to A
The shortest leg of a triangle is 1 feet shorter than the other leg.The hypotenuse of this triangle is 5 feet. what are the lengths of the two legs of this triangle?
The shortest leg is_____ ft long
The other leg is ________ft long
Answers
Answer:
shortest: 3 ftother: 4 ftStep-by-step explanation:
The right triangle with hypotenuse 5 that has legs that differ by 1 is the 3-4-5 right triangle. The legs are 3 ft and 4 ft.
__
Alternate solution
If you have never heard of a 3-4-5 right triangle, you can figure the leg lengths algebraically using the Pythagorean theorem. Let x represent the length of the "other" leg. Then the shortest is (x-1). The Pythagorean theorem tells you ...
5^2 = (x)^2 +(x -1)^2
25 = 2x^2 -2x +1
12 = x^2 -x = x(x -1)
Factors of 12 that differ by 1 are 3 and 4 or -3 and -4. We want x to be positive, so the value of interest is x=4
The "other" leg is 4 ft; the shortest leg is 3 ft.
Answer:
3 ft, 4 ft
Step-by-step explanation:
Represent the length of the shortest leg using x. Then the other leg length is x + 1. Applying the Pythagorean Theorem,
x^2 + (x + 1)^2 = 5^2, or
x^2 + x^2 + 2x + 1 = 25, or
2x^2 + 2x - 24 = 0.
Reducing this, we get x^2 + x - 12 = 0, or (x + 4)(x - 3) =0.
Solving for x: x + 4 = 0 => x = -4; also x - 3 = 0 => x = 3
Since we're measuring length, let's omit x = -4 and focus on x = 3.
Shortest leg is 3 ft long; other leg length is 3 + 1 ft, or 4 ft, long.
Ms. Smith bought a 5 pound bag of candy for her 6 grade classroom. She gave away 2 pounds of candy to her students during the first unit of
instruction and ate 6 ounces of candy during planning.
How many ounces of candy does Ms. Smith still have in her bag?
Note: (1 pound = 16 ounces)
A 38 ounces
o
B. 42 ounces
O c. 48 ounces
D. 54 ounces
Answers
Answer:
42 ounces or B
Step-by-step explanation:
5 pounds - 2 pounds=3 pounds
3 pounds=48 ounces
48 ounces-6 ounces=42 ounces
8. The loudness of a sound depends on_____. A. The width of the wave B. The brightness of the wave C. The length of a sound wave D. The wave height or amplitude
Answers
Answer:
D
Step-by-step explanation:
loudness depends on the amplitude or height of the sound waves
ayo is 37 years old and Abdul salami is 6 years old. how many years ago was the product of their ages 96
Answers
2.48925 C : 3.9901 H : 1.000 O
The ratio does not give whole
numbers, so we have to use a
multiplier. What can we multiply each element by in order to have them all reach the smallest whole number?
multiply by [?]
Hint: The multiplier should be a whole number.
Answers
Answer: its 2
Step-by-step explanation:
Which type of sequence is shown?
-2,0, 2, 4, 6, ...
Answers
Answer:
+2 or adding 2 each step
So it is a linear function
Step-by-step explanation:
-2 + 2 = 0
0 + 2 = 4
4 + 2 = 6
So forth..
Answer:
Arithmetic sequence.
Step-by-step explanation:
5 1/2 ÷3/4 write it in fraction form
Answers
The Answer:
Simplified 7 1/3
Improper 22/3
Answer:
\(5 \frac{1}{2} \div \frac{3}{4} = \frac{22}{3} \)
Step-by-step explanation:
\(5 \frac{1}{2} \div \frac{3}{4} \\ \\ \\ \frac{11}{2} \div \frac{3}{4} \\ \\ \frac{11}{2} \times \frac{4}{3} \\ \\ \frac{11}{1} \times \frac{2}{3} \\ \\ \\ \frac{11 \times 2}{1 \times 3} = \frac{22}{3} \)
I hope I helped you^_^
Find the number whose 3 % is 12
Answers
Answer:
400
Step-by-step explanation:
3% of 400 is 12
Are 5/9 and 25/45 equivalent? Explain your answer
Answers
Answer:
yes they are equivalent
Step-by-step explanation:
25/45÷5/5=5/9
and 5/9×5/5=25/45
hope this answer helps u...
Answer:
Yes.
Step-by-step explanation:
5/9 is equivalent to 25/45. We can find this out by multiplying both the numerator and the denominator by 5 as 9 x 5 = 45.
So the result is; 5/9 = (5 x 5)/ 9 x 5 = 25/ 45
Kyle has 64 baseball cards and must give away 1/4 of his figures away. How many cards will Kyle give away? What fractions of his cards does he have left?
Answers
kyle regalara 16 figuras y le quedara 3/4 de ellas
If the answer is 5 why isn't 5 an option?
Answers
Answer:
because they made a mistake
Which scale factor was used to create triangle SRT?
Answers
Answer:
1.6
Step-by-step explanation:
5 times 1.6 is 8.
Find the coordinates of the point P that lies along the directed line segment from A(-2,5) and B(2,-3) and partitions the segment in the ratio of 4 to 1.
A (1.6, -1.2)
B (1, 4.5)
C (1.2, -1.4 )
D (9, -2)
Part B
Find the coordinates of the point P that lies along the directed line segment from A(-3,-4) and B(5,0) and partitions the segment in the ratio of 2 to 3.
Group of answer choices
(-2.4, 0.2)
(0.2, -2.4)
(-0.2, 0.4)
(-0.4, 6)
Answers
Answer:
help
Step-by-step explanation:
Which statement about the linear equation 3a + 1 over 3(6a −9) = 1 over 2(10a − 6) is true?
A
The equation has exactly one solution at a = 0.
B
The equation has an infinite number of solutions.
C
The equation has exactly one solution at a = 1.
D
The equation has no solutions.
Answers
The statement about the linear equation 3a + 1/3(6a −9) = 1/2(10a − 6) that is true is: "The equation has an infinite number of solutions." (Option B)
What is a linear equation?A linear equation is defined as an equation with a maximum of one degree. A nonlinear equation is one with a degree greater than or equal to two.
On the graph, a linear equation looks like a straight line. On the graph, a nonlinear equation creates a curve.
To justify the above answer, we state the linear equation above:
3a + 1/3(6a −9) = 1/2(10a − 6) ; Simplified by opening the brackets, we have
3a + 2a − 3 = 5a − 3; collecting like terms on the left side, we have
5a -3 = 5a -3
Because 5a -3 = 5a -3, the expression holds true regardless of what integer or value a represents. Hence, it has an infinite number of solutions.
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Is 0.46 terminating number
Answers
Answer:
Yes because the decimal doesn't go on forever
Answer:
Yes
Step-by-step explanation:
0.46 is a terminating number because it has a finite number of decimal digits. Hence the name terminating, there is a terminated or ending to the decimal.
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.
The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:
Σ_{i=1}^{11} (6i + 2)
The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.
In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.
The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:
Σ_{i=1}^{11} (6i + 2)
To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:
The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.
The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.
The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.
Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).
Which graph represents the function f(x) = -|x| − 3?
Answers
A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
The function f(x) = -|x| − 3 can be graphed by following these steps:
To begin, draw a regular x and y-axis and mark it off with an appropriate scale. Then, mark off the negative values on the y-axis and both negative and positive values on the x-axis. After that, we will begin graphing the function f(x) = -|x| − 3, which is a reflection of the absolute value of x over the y-axis and shifted three units down the y-axis. Since the function f(x) = -|x| − 3 is a reflection of the absolute value of x over the y-axis, the graph should be symmetrical. This means that each point to the left of the y-axis is a reflection of the point to the right of the y-axis. Then, we will plot the vertex (0, -3), which is three units down from the origin. Next, we can plot other points using a table of values. We can select values for x that are both negative and positive, such as -2, -1, 0, 1, and 2, and then evaluate them to find the corresponding y values. Then, plot these points on the graph. Finally, we connect the points with a smooth curve, which will form the graph of the function f(x) = -|x| − 3. The graph will be in the shape of a V that opens downwards.Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
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what is 2s+(−4s) 2s+(−4s)?
Answers
no fke answers only real ones
Answers
What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4?
Answers
The x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is (17, 11)
Midpoint of coordinate pointsThe midpoint of a line is the point that bisects or divides the line into two equal parts
If the line JK is partitioned into the ratio 1:4 with the following coordinates
J(-15, -5) and K(25, 15)
Using the expression below;
M(x, y) =[mx1+nx2/m+n, my1+ny2/m+n]
Substitute the ratio and the coordinates
M(x, y) =[1(-15)+4(25)/4+1, 1(-5)+4(15)/1+4]
M(x, y) = [(85)/5, 55/5]
M(x, y) = (17, 11)
Hence the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is ((17, 11)
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At the Fidelity Credit Union, a mean of 7.1 customers arrive hourly at the drive-through window. What is the probability that, in any hour, less than 2 customers will arrive
Answers
Answer:
The probability that, in any hour, less than 2 customers will arrive is 0.0067.
Step-by-step explanation:
The random variable X can be defined as the number of customers arriving hourly at the drive-through window at the Fidelity Credit Union.
The random variable X describes a finite number of occurrences of an event in a fixed time interval.
The random variable X follows a Poisson distribution with parameter λ = 7.1.
The probability mass function of X is:
\(P(X=x)=\frac{e^{-7.1}(7.1)^{x}}{x!};x=0,1,2,3...\)
Compute the probability of less than 2 customers arriving as follows:
\(P(X<2)=P(X=0)+P(X=1)\)
\(=\frac{e^{-7.1}(7.1)^{0}}{0!}+\frac{e^{-7.1}(7.1)^{1}}{1!}\\\\=0.00083+0.00586\\\\=0.00669\\\\\approx 0.0067\)
Thus, the probability that, in any hour, less than 2 customers will arrive is 0.0067.
Any help would be appreciated!
Answers
Answer:
this might help you....
Answer:
See below.
Step-by-step explanation:
In the figure above, ∠WXY and ∠YXZ are a linear pair.
What is a Linear Pair?
A Linear Pair is 2 angles that are adjacent, and form a straight line when combined. A Linear Pair contains 2 Supplementary Angles, angles that add up to 180°.
Their measures add up to 180°.
In order to find y, because they're a linear pair, we can set up an equation with the 2 angles equal to 180°.
\(4y+6y+30=180\)
Combine Like Terms:
\(10y+30=180\)
Subtract 30 from Both Sides:
\(10y=150\)
Divide by 10:
\(\frac{10y}{10} = \frac{150}{10} \\y = 15.\)
The value of y is 15.
Now since we know the value of y, we can substitute 15 into each angle to find their measure.
Substitute:
\(4(15)=60\\6(15)+30=120\)
The measure of ∠WXY is 60° and the measure of ∠YXZ is 120°.
Chris has 4 rocks that each weigh 12 kilograms. He keeps them in a box that weighs 6 kilograms. He can lift all of the rocks in the box above his head at once. Estimate how many kilograms Chris can lift above his head.
Answers
Answer:
45
Step-by-step explanation:
my brain told me
Chris can lift 54 kilograms above his head.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here, 4 rocks with 12 kg each and a box weighing 6 kilograms
therefore the total weight = 4 ×12 + 6
= 54 kg
Hence Chris can carry 54 kg above his head
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Part B: create your own cube root function.
Come up with the equation of 2 different cube root functions. None of these can be the parent function y=^3 squared root of x. For each, find the domain, range, x- and y-intercepts, and describe any transformation for each. Also, give the coordinates of 3 points that you known are on the function (coordinates must be exact values).
Answers
Three points on the graph: (4, 0), (13, 5), (28, 8)
What is function ?
Function can be defined in which it relates an input to output.
Function 1: y = \((x+2) ^{1/3}\) - 1
Domain: x ≥ -2
Range: y ≥ -1
x-intercept: There is no x-intercept.
y-intercept: (0, -1)
Transformation: The cube root function is shifted 2 units to the left and 1 unit down.
Three points on the graph: (-2, -1), (-1, 0), (6, 1)
Function 2: y = 3\((x - 4)^{1/3}\) + 2
Domain: x ≥ 4
Range: y ≥ 2
x-intercept: (4, 0)
y-intercept: There is no y-intercept.
Transformation: The cube root function is shifted 4 units to the right, vertically stretched by a factor of 3, and shifted 2 units up.
Therefore, Three points on the graph: (4, 0), (13, 5), (28, 8)
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If 4x + 12 = 76, then x =
Answers
Answer:
x = 16
Step-by-step explanation:
subtract 12 from both sides to isolate the variable and its coefficient
4x = 64
divide both sides by 4 to get x
x = 16
Answer:
x = 16
Step-by-step explanation:
4x+12=76
Step 1: Subtract 12 from both sides.
4x + 12 - 12 = 76 - 12
4x = 64
Step 2: Divide both sides by 4.
\(\frac{4x}{4} = \frac{64}{4}\)
x = 16
Expand 4(6)to the 8th power
4(6)^8
Answers
The expanded form of the given exponential equation is 6718464
Exponential equationsExponential equations are inverse of logarithmic equations. The standard exponential equation is expressed as. y = ab^x
where
a is the base
x is the exponent
Given the expression below;
a = 4(6)^8
Expand to have:
a = 4 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6
a = 4 * 1679616
a = 6718464
Hence the expanded form of the given exponential equation is 6718464
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