Answer:
2
Step-by-step explanation:
14/7=2
Which is greatest -10,- 20, -30, -11, -50
Answer:
-10
Step-by-step explanation:
-10 is greatest of all numbers
a swimming pool is circular with a 40-ft diameter. the depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. find the volume of water in the pool. (round your answer to the nearest whole number.)
The volume of water in the pool is 10230 cubic feet.
Given : Swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end.
To find : The volume of water in the pool?
Swimming pool is circular with a 40-ft diameter.
The radius of the pool is 40/20 = 20 ft
The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end.
Depth average is:
Da = 5+10/2
= 7.5
The volume is given by:
V = π × r² × Da
V = 3.41 × (20)² × 7.5
V = 10230 ft²
The volume of water in the pool is 10230 ft² cubic feet.
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on selling a calculator for 1325 a man gains 6% for how much should he sell it to gain 12%
Answer:
Now, to make a profit of 12%. Therefore, Selling price of calculator must have Rs. 1400 to make a profit of 12%.
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F(2-k)=8-5(2-k) evaluating functions
Answer:
f = 5k−2/−k+2
How do you write 5 is less than 10?
The answer of 5 less than 10 is 5.
The answer of 5 less than 10 is 5 which can be derived using simple mathematical calculations.
To find 5 less than 10, you can subtract 5 from the original number 10.
10 - 5 = 5
It's a simple arithmetic operation where you subtract a specific number, in this case, 5, from the original number.
An arithmetic operation is a mathematical process that combines two or more numbers to produce a new number. The most basic arithmetic operations are addition, subtraction, multiplication, and division.
Addition: It is the process of combining two or more numbers to find their sum. For example, 2 + 3 = 5 is an addition operation.
Subtraction: It is the process of finding the difference between two numbers. For example, 5 - 3 = 2 is a subtraction operation.
Multiplication: It is the process of finding the product of two or more numbers. For example, 3 x 4 = 12 is a multiplication operation.
Division: It is the process of finding the quotient of two numbers. For example, 12 ÷ 3 = 4 is a division operation.
Therefore, The answer of 5 less than 10 is 5.
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Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
y=5x+8
y=−5x+4
Choose the correct answer below.
Parallel
Neither
Perpendicular
Which statement regarding polynomials and their zeros is true? f(x) = (2x2 +25)(x + a) has zeros of 25 and a f(x) = x3 - ax + 16x - 16a has zeros of 4 and a only. f(x)=x2-ax? - 9x + 9a has zeros of 23 and a f(x) = (x2 - 1)(x + a) has zeros of 1 and -c only.
The statement that is true is: f(x) = (2x^2 + 25)(x + a) has zeros of 25 and a. In this polynomial, the zeros are the values of x that make the polynomial equal to zero.
The given polynomial is a product of two factors, (2x^2 + 25) and (x + a). For the entire polynomial to be zero, at least one of the factors must be zero. The first factor, 2x^2 + 25, does not have any real zeros because it represents a quadratic equation with a positive leading coefficient, which means it opens upwards and does not cross the x-axis. However, the second factor, x + a, will be zero when x = -a. Therefore, the zeros of the polynomial f(x) = (2x^2 + 25)(x + a) are 25 and -a.
The given statement correctly identifies the zeros of the polynomial f(x) = (2x^2 + 25)(x + a) as 25 and a. This is because the zeros of a polynomial correspond to the values of x for which the polynomial equals zero. In this case, the polynomial is a product of two factors. The first factor, 2x^2 + 25, does not have any real zeros. However, the second factor, x + a, will be zero when x = -a. Therefore, the zeros of the entire polynomial are 25 and -a.
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A recipe instructs the cook to use 4 cups of water for each 3 cups of powder. If you used 10 cups of water, how much powder should be added?
Answer:
it would b 2 in half cups of powder
This 42 inch screen measures 32 inches along the base. 1. What is the height of the screen ?
Using Pythagoras Theorem, The height of the screen is approximately 27.18 inches.
What is the Pythagorean theorem?Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.
We can use the Pythagorean theorem to solve this problem. Let's call the height of the screen "h". Then, according to the Pythagorean theorem, we have:
\(h^2 + 32^2 = 42^2\)
Simplifying this equation, we get:
\(h^2 + 1024 = 1764\)
Subtracting 1024 from both sides, we get:
\(h^2 = 740\)
Taking the square root of both sides, we get:
\(h = \sqrt{(740)}\)
Using a calculator to approximate the square root, we get:
h ≈ 27.18 inches
Hence, the height of the screen is approximately 27.18 inches.
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What is the area of a trapezoid that has the following dimensions? b: 45 mm bz: 37 mm h: 6 mm 2 A=
Which FAR Part 77 imaginary surface has slopes that may range from 20:1 to 50:1?
The primary surface
The horizontal surface
The approach surface
The conical surface
The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.
The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.
Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.
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Is 10 closer to 3 or 4?
Answer:
4
Step-by-step explanation:
Answer:
If there's a zero in the tenths place and your round down, keep the zero in your answer. For example, 4.03 rounded to the nearest tenth in 4.0.
middle school math: a^3 - 5a^2 + a
Answer:
a(a^2-5a+a) factor it out
below the paraboloid z = 18 − 2x2 − 2y2 and above the xy-plane
Answer:
y
2
=−
2
z
+7
Steps for Solving Linear Equation
z=18−2×2−2y2
Multiply 2 and 2 to get 4.
z=18−4−2y
2
Subtract 4 from 18 to get 14.
z=14−2y
2
Swap sides so that all variable terms are on the left hand side.
14−2y
2
=z
Subtract 14 from both sides.
−2y
2
=z−14
Divide both sides by −2.
−2
−2y
2
=
−2
z−14
Dividing by −2 undoes the multiplication by −2.
y
2
=
−2
z−14
Divide z−14 by −2.
y
2
=−
2
z
+7
Step-by-step explanation:
the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.
we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.
Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.
the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.
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find the measure of arc HJK. PLEASE HELP!!
The measure of the given arc HJK is 186°.
Given measurement of the angle G = (4y - 11)°
The measurement of the angle J = (3y + 9)°
The measurement of the angle K = (x + 21)°
The measurement of the angle H = 2x°
From the below attached pic rule, in the given diagram angle J + angle G = 180°
So, J + G = 180°
= (4y - 11)° + (3y + 9)° = 180°
= 7y -2 = 180°
= 7y = 182°
y = 182°/7 = 26°
By substituting y value which is "26°" in the angle G and J we can obtain their measurements as angle G = 93° and angle J = 87°.
Similarly, to find the value of x,
H + K = 180°
2x + (x + 21)° = 180°
3x + 21° = 180°
3x = 159°
x = 159°/3 = 53°.
By substituting x value which is "53°" in the angle H and K we can obtain their measurements as angle H = 106° and angle K = 74°
To find the measurement of arc, from the second attached image we can know that the angle of G is opposite to arc HJK. So, the relation is as follows,
measurement of arc HJK = 2 * angle of G
HJK = 2 * 93°
HJK = 186°.
From the above solution, we can conclude that the measurement of arc HJK is 186°
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Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 25 ≤ x ≤ 85.
x
10
25
40
55
70
85
f(x)
52
43
34
25
16
7
Find the surface area of the triangular prism shown below.
Answer:
150
Step-by-step explanation:
mark brainliest plz
(03.05 LC)
Name the similar triangles
A. ΔABC ~ ΔDEF
B. ΔABC ~ ΔEFD
C. ΔABC ~ ΔDFE
D. ΔABC ~ ΔFED
Answer:
ΔABC ~ ΔEDF
Step-by-step explanation:
ΔABC ~ ΔEDF
Given:
∠A = ∠E
∠B = ∠D
So,
We say that;
∠C = ∠F
By AAA;
Rule
ΔABC ~ ΔEDF
Tell whether the ratios form a proportion. 14:8 and 28:10
Answer:
no
Step-by-step explanation:
14:8 = 14/8 = 7/4
28:10 = 28/10 = 14/5
Since the fractions are not equal, it is not a proportion.
Answer: no
Find the next two terms in this
sequence.
50, 40, 31, 23, 16, | ? ],[?]
Answer:
8, 0
Step-by-step explanation:
Please help me answer this question, it was due yesterday .
Answer:
FA=7.29
Step-by-step explanation:
\(FD=\sqrt{10^{2}-8^{2} } \\FD=\sqrt{36} \\FD=6\\\)
∠EDF=53° (properties of retangle)
∠EAD=180-90-53 (∠ sum of Δ)
=37
\(\frac{AD}{sin90} =\frac{8}{sin37} \\AD=13.29\)
FA=AD-FD
FA=7.29
What number would be ten times greater than 0.05?
Answer:
0.5?
Step-by-step explanation:
The function f(x) = −x2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas sold.
Determine the vertex, and explain what it means in the context of the problem.
(12, 16); The vertex represents the maximum profit.
(12, 16); The vertex represents the minimum profit.
(14, 4); The vertex represents the maximum profit.
(14, 4); The vertex represents the minimum profit.
The correct option is the third one; (14, 4); The vertex represents the maximum profit.
How to find the vertex of the quadratic?For a general quadratic equation
y = ax² + bx + c
The vertex is at the x-value:
x = -b/2a
Here the quadratic function is:
f(x)= -x² + 28x - 192
The vertex is at:
x = -28/2*-1 = 14
Evaluating in x= 14 we get:
f(14) = -14² + 28*14 - 192 = 4
So the vertex is at (14, 4), and because the leading coefficient is negative, this is the maximum profit.
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a collection of five positive integers has mean $4.4$, unique mode $3$ and median $4$. if an $8$ is added to the collection, what is the new median? express your answer as a decimal to the nearest tenth.
To begin, we know that the median of the original collection of five positive integers is 4, which means that the middle number is 4. We also know that the unique mode is 3, which means that there is only one number in the collection that occurs more frequently than any other number.
Let's call the five positive integers in the original collection a, b, c, d, and e.
Since the mean of the original collection is 4.4, we can set up the equation:
(a+b+c+d+e)/5 = 4.4
Multiplying both sides by 5 gives:
a+b+c+d+e = 22
We also know that the mode is 3, which means that one of the numbers in the collection must be 3. Let's assume that a = 3, then we have:
3+b+c+d+e = 22
b+c+d+e = 19
Since the median is 4 and 3 is the unique mode, we can conclude that b, c, d, and e must be either 4 or 5. However, since there is only one unique mode, we know that there is only one number in the collection that is equal to 3. Therefore, we can conclude that the collection of five positive integers must be: 3, 4, 4, 4, 5.
If we add 8 to this collection, the new collection becomes: 3, 4, 4, 4, 5, 8. The new collection has six numbers, so the median is now the average of the two middle numbers. Since the middle two numbers are 4 and 5, the median is (4+5)/2 = 4.5.
Therefore, the new median is 4.5, expressed as a decimal to the nearest tenth.
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Faizah is paid $11 per hour for her work at a factory. She works 9 hours a day and 24 days a month. She saves $594 a month. Express the amount she saves as a percentage of her income.
Answer:
The amount she saves is 25% of her income
Step-by-step explanation:
She is paid $11 per hour
She works 9 hours per day
and for 24 days per month
So, she works 9(24) hours per month
= 216 hours per month
Now, she is paid $11 hourly, so for 216 hours,
she will have 11(216) = $2376
Total income = $2376 per month
Saving = $594 per month
As a percentage, we divide the savings by the total income,
savings/(total income) = 594/2376 = 1/4 = 0.25
Hence we get 25%
can you help me find BD. under the letter A the number is 25°
arc BD is 25°
Explanation:We would apply the secant-secant theorem:
\(\begin{gathered} \angle A\text{ =}\frac{large\text{ arc - small arc}}{2} \\ \angle A\text{ =}\frac{arc\text{ CE - arc BD}}{2} \end{gathered}\)angle A = ∠A =25°
arc BD =?
arc CE = 100°
\(\begin{gathered} 25\text{ = }\frac{100-arc\text{ BD}}{2} \\ \text{cross multiply:} \\ 2(25)\text{ = 100 - arc BD} \end{gathered}\)\(\begin{gathered} 50\text{ = 100 - arc BD} \\ \text{subtract 100 from both sides:} \\ 50\text{ - 100 = 100 - 100 - arc BD} \\ -50\text{ = - arc BD} \end{gathered}\)\(\begin{gathered} \text{DIvide both sides by -1:} \\ \frac{-50}{-1\text{ }}=\frac{-arc\text{ BD}}{-1} \\ \text{arc BD = 50}\degree \end{gathered}\)Algebra and Geometry Question: Seven of the angles of a decagon have measures whose sum is complementary and exactly two are supplementary. Find the measures of these three angles.
From the present question, let's say that the missing angles are a, b, and c. We know that the sum of the other seven is equal to 1220°. By definition, the sum of the inner angles of any polygon is given by:
\(S=(n-2)\times180\degree\)In the present case, n = 10. Which means:
\(\begin{gathered} S=(10-2)\times180\degree \\ S=8\times180\degree=1440\degree \\ S=1440\degree \end{gathered}\)From the information given, we are able to say that:
\(\begin{gathered} 1440=1220+a+b+c \\ a+b+c=1440-1220=220 \\ a+b+c=220 \end{gathered}\)Here we found the first equation. The information about supplementary and complementary angles can be written as:
\(\begin{gathered} a+b=90\degree \\ b+c=180\degree \end{gathered}\)Now we have the following system of equations:
\(\begin{gathered} a+b+c=220\degree \\ a+b=90\degree \\ b+c=180\degree \end{gathered}\)If we substitute the second equation in the first one, we are able to find the value for c. Performing this calculation, we find the following:
\(\begin{gathered} (a+b)+c=220\to90+c=220 \\ c=220-90=130\degree \\ c=130\degree \end{gathered}\)With this value, we are able to substitute the value of c in the third equation, and find the value of b, as follows:
\(\begin{gathered} b+c=180\degree\to b+130\degree=180\degree \\ b=180\degree-130\degree=50\degree \\ b=50\degree \end{gathered}\)Now, we can substitute the value of b in the second equation of the system, to find the value of a, as follows:
\(\begin{gathered} a+b=90\degree\to a+50\degree=90\degree \\ a=90\degree-50\degree=40\degree \\ a=40\degree \end{gathered}\)Now, from all the given information, we were able to find that, the three missing angles are:
\(\begin{gathered} a=40\degree \\ b=50\degree \\ c=130\degree \end{gathered}\)Because the question did not name the angles, their name and order are not important, just the values.
I need help fast……….
Answer:
all real numbers
the domain of any parabola is all real numbers because it gets wider.
Stefan sells Jin a bicycle for $138 and a helmet for $18. The total cost for Jin is 130% of what
Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How
much money did he make by selling the bicycle and helmet to Jin?
Stefan originally spent
Answer:
1. $109.20 2. $46.80
Step-by-step explanation:
Doing the math, we find that 30% of 156 (138+18) is 46.80, which answers the second part of this problem. Plugging this value into the first part of the equation gives us what Stefan originally paid.
Good luck! Hope this helps!
Jackson is using bricks to make a patio. He completed 1/8 of the patio in 2/5 hours. If Jackson continues to work at this constant rate, what fraction of the patio will he complete each hour?
Therefore , the solution of the given problem of fraction comes out to be Jackson will finish 5/16 of the terrace every hour.
What is a fraction?Any arrangement of portions or pieces of similar sizes can symbolize a whole. Standard English refers to quantity as "a fraction" in a specified measure. 8, 3/4. Wholes also include fractions. The ratio of the divisor compared to the ratio is used in mathematics to represent numbers. These are all illustrations of fundamental fractions that split by whole numbers.
Here,
We must figure out how much of the terrace Jackson can finish in an hour in order to calculate the percentage of the patio he completes each hour.
We can commence by calculating the percentage of the patio he can finish in an hour using the information provided.
He finished 1/8 of the terrace in 2/5 hours, which we can calculate by dividing 1/8 by 2/5:
=> (1/8) ÷ (2/5) = (1/8) x (5/2)
=> 5/16
Jackson can therefore finish 5/16 of the terrace in one hour.
As a result, Jackson will finish 5/16 of the terrace every hour.
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