an inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire are of the pool including the walkway is 924ft^2, find the width of the walkway.
Answer:
Step-by-step explanation:
[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]
You borrow $10,000 to buy a car. The simple interest rate is 3%. You pay the loan off after 6 years. What
is the total amount you paid for the loan?
The surface of a rectangular table has an area of 8 square feet and a perimeter of 12 feet. What are the dimensions of the table?
? feet by ? feet
PLS .I really need help.Thank you
Answer:
4 ft by 2 ft
Step-by-step explanation:
4*2=8
4+4+2+2=12
Which value is in the domain of f(x)?
(+5
2x + 5, -6 < X 0
f(x) =
-2x + 3,0 < x < 4
) -7
0 -6
4
05
Answer:
it's 4 on edge
Step-by-step explanation:
I got it right
The value is in the domain of f(x) is 4, the correct option is C.
What is the domain and range of the function?
The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
We are given that;
f(x) =-2x + 3,0 < x < 4
Now,
The domain of a function is the set of all possible input values for which the function is defined. In this case, the function f(x) is defined by two different expressions depending on the value of x. The first expression, 2x + 5, applies when -6 < x < 0. The second expression, -2x + 3, applies when 0 < x < 4. Therefore, the domain of f(x) is the union of these two intervals:
Domain of f(x) = (-6, 0) U (0, 4)
Therefore, by the domain the answer will be 4.
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what is the value of x when 2^x-7*5^x-4=1250
Step-by-step explanation:
The correct answer is the photo
sin^2A+cos^2A=? .find the value.
Answer:
1
Step-by-step explanation:
it is an identity. hope it helps
please help me , I don't understand how to do this
Answer:
10 more eggs
Step-by-step explanation:
If each egg equals 5 eggs then
pen 3 has a total of 25 eggs
Pen 2 has a total of 5
pen 5 has a total of 10
10 + 5=15
25-15= 10
Hope this helps ^-^
Answer:
10
Step-by-step explanation:
First I would convert all the egg drawings to the actual number:
Pen 3: 25 eggs
Pen 2: 5 eggs
Pen 5: 10 eggs
Then I would add pens 5 and 2 together, this would sum up to 15.
Lastly, I would subtract 15 from 25 = 10 eggs
Jacob has 3 times as many football cards as Eli. Eli has 39 football cards. Tara has 111 football cards. Who has more football cards, Jacob or Tara? How many more?
Answer:
Jacob
Step-by-step explanation:
39*3 = 117
because it says Jacob has 3 times as many football cards as eli... Eli has 39 so 39*3 is 117 and 117 is more than 111
Solve A = P(1 + rt) for t
Answer:
t = (A/p-1) r
Step-by-step explanation:
p = p (1+rt)
A/P = 1+rt
rt = A/P- 1
t = ( A/P- 1) r
X/4-1.2=2
Need this fast
Answer:
x=12.8Step-by-step explanation:
add 1.2 to the 2
x/4=3.2
multiply 3.2 by 4
x=12.8
You are walking in the woods when you spot a bald eagle high up in a tree. You measure the angle of elevation to the eagle to be 67 degrees. You then walk directly to the tree and determine that you were standing 150 ft from the tree when you saw the bald eagle. How high up in the tree was the bald eagle?
Answer:
Step-by-step explanation:
infinite
The height of up in the tree was the bald eagle is, 352.5 feet
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
You measure the angle of elevation to the eagle to be 67 degrees.
And, The angle of elevation to the eagle to be 67 degrees.
Now, Let the height of up in the tree was the bald eagle is, x
Hence, We can formulate;
⇒ tan 67° = x / 150
⇒ 2.35 = x / 150
⇒ x = 2.35 × 150
⇒ x = 352.5 feet
Thus, The height of up in the tree was the bald eagle is, 352.5 feet
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There we go BRIANLIST
Answer:
B!
Step-by-step explanation:
Hope that helps!
Find the unknown side length of these similar triangles using scale factor. Show working out.
Vera claimed the solution set on the number line represents the inequality Negative 78.9999 greater-than-or-equal-to x.
A number line going from negative 83 to negative 77. A closed circle is at negative 79. Everything to the left of the circle is shaded.
Which error did Vera make?
Vera wrote the inequality with the variable on the left side of the relation symbol.
Vera wrote a relation symbol that does not represent the direction of the ray.
Vera selected an inequality that does not include –79 in its solution set.
Vera used the wrong number in her inequality.
Answer:
Step-by-step explanation:
Vera used the wrong number in her inequality.
Please note this question was very confusing for me.
Answer:
D
Step-by-step explanation:
The person above me is right, but if you wanted to know the letter, it's D
:D
Albert mixes 10 grams of 15% sugar syrup and 25 grams of 10% sugar syrup. C What is the concentration of sugar in the mixture? D If Albert adds x grams of pure sugar to his mixture, how many grams of sugar will the mixture contain now? E After Albert adds the x grams of sugar, how many grams of mixture does Albert have? F Suppose we know that after he adds the x grams of sugar, Albert's mixture is 25% sugar syrup. Write an equation. G Solve the equation from part (f) to find how many grams of pure sugar Albert needs to add to achieve 25% concentration. A How many grams of sugar does the mixture contain? B How many grams of mixture does Albert have now?
Answer: 14a is 4 grams 14 b is 35 grams
Step-by-step explanation:
Consider the polynomial function q(x) = 3x^4 – 5x^3 – 2x^2 + x – 18.
What is the end behavior of the graph of q?
Answer:
a in the picture
Step-by-step explanation:
The end behaviour of the function is correctly represented by option 1.
What is the end behaviour of a function? What do you mean by domain and range of a function?The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.
Given is the following function polynomial as -
q(x) = 3x⁴ – 5x³ – 2x² + x – 18
The given polynomial is -
q(x) = 3x⁴ – 5x³ – 2x² + x – 18
Graph the function. It can be seen that the domain is limited from -
x = -1.365 to x = 2.351 which is a small value. So, we can predict the end behaviour of the graph as given in option [1].
Hence, the end behaviour of the function is correctly represented by option 1.
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Rewrite the expression using the common denominator
Answer:
The answer is C
Step-by-step explanation:
Answer:
Its c
Step-by-step explanation:
got it right on edge
Evaluate (49/64) ^1/2 write it as a fraction
Answer:
7/8
Step-by-step explanation:
Get rid of the ( )
put the 49/64 into a √ sq root and it cancels out the 1/2
49/64 whats the square root of 49? 7 Ss root of 64 is 8
7/8
can somebody please try to break down how to solve systems of equations by substitution as much as possible? i've used so many apps but i still can't get a grasp of it. please!!! 20 points. please don't answer just for the points!!!
Answer:
okay, so let's take an example problem:
y = x + 4 where "y" = 5
so first, you plug in 5 in "y"'s place like so:
5 = x + 4
then, you solve for "x"
5 - 4 = 1
so therfore:
x = 1
if you need more of an explanation please do not be afraid to reach out. my goal isn't to get points, it's to help.
What is X=? // which choice is correct ? (Ignore my guessing choice mark)
Given:
A figure of a right angle triangle.
To find:
The length of the shorter leg.
Solution:
In a right angle triangle,
[tex]\tan\theta =\dfrac{Opposite}{Adjacent}[/tex]
In the given triangle,
[tex]\tan (60^\circ) =\dfrac{18}{x}[/tex]
[tex]\sqrt{3}=\dfrac{18}{x}[/tex]
[tex]x=\dfrac{18}{\sqrt{3}}[/tex]
[tex]x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
On further simplification, we get
[tex]x=\dfrac{18\sqrt{3}}{3}[/tex]
[tex]x=6\sqrt{3}[/tex]
[tex]x=10.3923[/tex]
[tex]x\approx 10.4[/tex]
Therefore, the length of the shortest leg is 10.4 and the correct option is B.
Factor the GCF: 6x^2 + 3x + 9 *
Answer:
3(2x² + x + 3)
Step-by-step explanation:
zzzzzzzzzzzzzzz
−2x+5=−25
x =
green what’s the answer
Answer:
x = 15
Step-by-step explanation:
-2x= -25-5
-2x=-30
x= 15
What is the volume of this rectangular prism?
1/4 cm,
1/2 cm,
1/3 cm
Reduce the fraction to its simplest terms.
Si un bloqie rueda sobre un plano rugoso tiene perdida de energia mecanica ficicamente esto quiere decir
Answer:
Step-by-step explanation:
Desde el concepto de conservación de la energía mecánica, es decir, la energía asociada con el movimiento coherente de un objeto, la energía cinética del objeto, junto con su momento, están conectadas entre sí. Entonces, si un bloque rueda sobre un plano irregular, tiene pérdida de energía mecánica, esto significa que la energía cinética se compensa con las ganancias o pérdidas de la energía potencial de la interacción del objeto.
What is s??
A 44°
B 35.3°
C. 37.9°
D. 22°
Answer: Choice B) 35.3 degrees
======================================================
Work Shown:
Apply the law of sines
sin(S)/s = sin(R)/r
sin(S)/16 = sin(120)/24
sin(S) = 16*sin(120)/24
sin(S) = 0.57735026918962
S = arcsin(0.57735026918962)
S = 35.2643896827542
S = 35.3
Make sure your calculator is in degree mode.
What is -4(x + 9) combine like terms
Answer:
-4x-36
Step-by-step explanation:
multiply -4 by x
multiply -4 by 9 and add each together
Answer:
-4x + -36
Step-by-step explanation:
This problem uses the distributive property. You need to multiply -4 by both things in the parentheses.
-4 · x = -4x.
-4 · 9 = -36
Hope this helps!
What is the slope of the line that passes through the points (-8,-6) and (-18,6)
Answer:
-6/5
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 6 - -6)/( -18 - -8)
= ( 6+6)/ (-18+8)
= 12/ -10
-6/5
The distance traveled at a constant speed is directly proportional to
the time spent traveling. If Lynnell traveled 70 miles in 3.5 hours, how
many miles will Lynnell travel in 4 hours at the same constant speed?
Answer:
80 mi.
Step-by-step explanation:
There are a couple ways to solve this problem. I will show you one. First, let's find the rate of travel.
D = RT
70 = 3.5R
R = 70/3.5 = 20
Using that speed, we now get
D = 20(4) = 80 mi.
Type the expression that results from the following series of steps:
Start with
y
, subtract 7, divide by 3, then add 6.
Answer:
well, y - 7 divided by 3 + 6 = y + 11/3
Step-by-step explanation:
hope this helps! have a nice day!
i need help with this problem
Answer:
y = 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (3, 5) ← 2 points on the line
m = [tex]\frac{5-2}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3
The line crosses the y- axis at (0, - 4) ⇒ c = - 4
y = 3x - 4 ← equation of line