Answer:
[tex]176\pi in.^3[/tex]
Step-by-step explanation:
The figure of the problem is missing: find it in attachment.
In this problem, the container has a shape of a cylinder.
The volume of a cylinder is given by the formula:
[tex]V=\pi r^2 h[/tex]
where
V is the volume
r is the radius of the base of the cylinder
h is its height
For the container in this problem, we have:
r = 4 in. is the radius of the base
h = 11 in. is the height of the container
Substituting into the formula, we can find the volume of the container, and so the volume of grain that it can contain:
[tex]V=\pi (4)^2 (11)=176\pi in.^3[/tex]
The given cylinder container can hold 44π cubic inches of grain. This is calculated using the formula for the volume of a cylinder which is πr²h.
Explanation:To compute the amount of grain a cylindrical container can hold, you would have to calculate the cylinder's volume. The formula for the volume of a cylinder is πr²h, where r represents the radius, and h represents the height.
In this case, the diameter is 4 inches, so the radius (r) would be 2 inches. The height (h) of the cylinder is 11 inches. So, substituting these values into the formula gives us:
Volume = π(2²) x 11 = 44π cubic inches
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Use the quadratic formula to determine the solutions to the quadratic equation. Write your answers as decimals, and round to the nearest hundredth (2 decimal spots).
6x2+4x−3=0
Answer:
x1 = 0.45 and x2 = -1.12
Step-by-step explanation:
To solve the equation 6x2+4x−3=0 using the quadratic formula, we use the following equation:
x = [-b ± √(b2 - 4ac)] / 2a
Where a, b and c are coefficients of the quadratic equantion (in our case, a = 6, b = 4 and c = -3)
So we have that:
x1 = [-4 + √(16 + 72)] / 12 = (-4 + 9.3808) / 12 = 0.4484
x2 = [-4 - √(16 + 72)] / 12 = (-4 - 9.3808) / 12 = -1.1151
Rounding to nearest hundredth, we have x1 = 0.45 and x2 = -1.12
A city is planning to build a square-shaped playscape at a city park.
The table shows several values for A, the area of the playscape, in square feet, and f(A), the length, in feet, of one side of the playscape. The function represented is .
About how many square feet are in the playscape if the length of a side is 63 feet?
4,000
4,160
4,489
4,830
Answer:
4,000
Step-by-step explanation:
what is the coefficient for x2 -5x+6
The coefficient for x² in the equation x² - 5x + 6 is 1, as it is the implied coefficient when no numerical coefficient is written before a term in a polynomial.
Explanation:The coefficient for x2 in the polynomial equation x2 - 5x + 6 is implied to be 1. When a term in a polynomial has no numerical coefficient written, it is understood that the coefficient is 1. In any polynomial equation of the form ax2 + bx + c = 0, the coefficient of x2 is represented by a. In the given expression, since there is no number in front of x2, a is 1. Therefore, the coefficient of x2 in the equation x2 - 5x + 6 is 1.
Find the range of each data set. Make sure it is CORRECT.
Answer:
answer 1 : is 12-1=11
answer 2: is 230-22=207
Step-by-step explanation:
Answer:
208!!!
Step-by-step explanation:
Minus the largest number by the smallest.
A basket contains apples and oranges in the ratio of 4:1. How many apples are there if the total amount of fruits is 40?
Answer:32
Step-by-step explanation:
u fist find the total ratio 4+1 =5then the ratio belonging to apple is four
so u divide 4 by 5 then multiply to the total no of fruit
and that will give u 32
A ratio shows us the number of times a number contains another number. The number of apples in the basket is 32.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Let the number of apples and oranges in the basket be represented by 4x and x respectively.
Given the total number of fruits in the basket is 40. Therefore, the sum of the number of fruits can be written as,
[tex]4x+x=40\\5x=40\\x=8[/tex]
The number of apples = 4x = 4(8) = 32
Hence, the number of apples in the basket is 32.
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-3 x f(-8) +7 x g(2)
The composite function -3 x f(-8) +7 x g(2) has a value of 53
How to evaluate the composite function
From the question, we have the following parameters that can be used in our computation:
f(x) = 2x + 3 and g(x) = x
Calculating f(-8) and g(2), we have
f(-8) = 2 * -8 + 3 and g(2) = 2
Evaluate
f(-8) = -13 and g(2) = 2
Using the above as a guide, we have the following:
-3 x f(-8) +7 x g(2) = -3 * -13 + 7 * 2
Evaluate
-3 x f(-8) +7 x g(2) = 53
Hence, the composite function has a value of 53
Question
Evaluate the expression -3 x f(-8) +7 x g(2) if f(x) = 2x + 3 and g(x) = x
Write two polynomials with a difference of 2x2 + x + 3
Answer:
The two polynomial CAN be [tex]5x^4+5x^3+8x^2+x+6[/tex] and [tex]5x^4+5x^3+8x^2+2x+13[/tex].
Step-by-step explanation:
Step 1: Simplify the expression:
[tex]2*2 + x + 3[/tex]
[tex]4+x+3[/tex]
[tex]x+7[/tex]
Step 2: Think of a random polynomial:
[tex]5x^4+5x^3+8x^2+x+6[/tex]
Step 3: Either add your "random polynomial" by [tex]x+7[/tex] or subtract it.
I want to add it so...
[tex]5x^4+5x^3+8x^2+x+6+x+7[/tex]
= [tex]5x^4+5x^3+8x^2+2x+13[/tex]
Check by subtracting [tex]5x^4+5x^3+8x^2+x+6[/tex] and [tex]5x^4+5x^3+8x^2+2x+13[/tex].
[tex]5x^4+5x^3+8x^2+2x+13[/tex]
- [tex]5x^4+5x^3+8x^2+x+6[/tex]
_____________________
[tex]0x^4 - 0x^3 -0x^2 +x +7[/tex] or [tex]x+7[/tex]
A soccer ball has a 35 cm diameter. what is the volume of the contents of the ?
Answer:
To calculate the volume of a sphere, use the formula v = ⁴⁄₃πr³, where r is the radius of the sphere. If you don't have the radius, you can find it by dividing the diameter by 2. Once you have the radius, plug it into the formula and solve to find the volume.
Step-by-step explanation:
To find the volume of a soccer ball,the formula is V=4/3 πr^3,where r is the radius and π=3.14. A regulation soccer ball has a radius of 35cm. find the volume of a soccer ball to the nearest cubic centimeter. This is just some to keep in mind.
Describe two different ways to write 7/3 as a mixed number.
how many ounces of a 12 alcohol solution must be mixed with 6 ounces of a 20% alcohol solution to make a 16% alcohol solution?
Answer:
6 ounces
Step-by-step explanation:
So set your equation up as
12(x)+20(6)=16(x+6)
You set it up this way because with the first number you know the percet but not the ounces so your ounces would be x. The second set you know percet and ounces (the percent will alway go outside the parenthesis). then the last number is waht it wil equal; again we know the percent but not the product. We put x+6 in the parenthesis because you are adding the ounces your don't know(x) wiht the ones you do (6).
To solve distribute
12x+120=16x+96
Now all you have to do is solve for x. Subtract the 96 over then subtract the 12x over, so it would look like this.
12x+120=16x+96
-96 -96
12x+24=16x
-12x -12x
24=4x Now simply divide by 4 and you get 6=x
There should be 6 ounces mixed in order to get the required solution.
Let the number of ounces be represented by x.
Based on the equation, the equation to use will be:
12(x) + 20(6) = 16(x + 6)
Expand the equation
12x + 120 = 16x + 96
Collect like terms
16x - 12x = 120 - 96
4x = 24
Divide both side by 4
4x/4 = 24/4
x = 6
Therefore, the number of ounces will be 6 ounces.
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Jayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches?
A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches.
Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height.
Inches cubed
Answer:
The volume is 64 inches cubedStep-by-step explanation:
plz mark as brainliest!!!
Answer:
64 inches cubed
15. Sense or Nonsense
cense or Nonsense? Sam and Dave each solve the problem at
e right. Sam says the sum is 4 feet 18 inches. Dave says the sum
e 5 feet 6 inches. Whose answer makes sense? Whose answer is
nonsense? Explain.
Says shouldn’t Say 18 inches because that is 1 ft 6 inches
Can anyone please answer this question !!!
Max wants to paint a wall that measures 2.1 m by 5.2 m. A tin of paint states that it will cover 3.5 m?. If the tin contains exactly 0.5 litres of paint, and all other measurements are correct to 1 d.p., find the maximum volume of paint needed to paint the wall.
Final answer:
The maximum volume of paint required is 2 liters.
Explanation:
To calculate the maximum volume of paint needed to paint the wall, we need to first determine the area of the wall. The wall measures 2.1 m by 5.2 m, so the area is:
Area = Length × Width = 2.1 m × 5.2 m = 10.92 m²
Now, we know that one tin of paint covers 3.5 m² and contains 0.5 liters of paint. To find the number of tins needed, we divide the total area by the area covered by one tin:
Tins needed = Total area / Area per tin = 10.92 m² / 3.5 m²
Tins needed = 3.12
Since we cannot buy a fraction of a tin, we need to round up to the nearest whole number, which means Max needs 4 tins of paint. To find the total volume of paint, we multiply the number of tins by the volume of one tin:
Total volume = Tins needed × Volume per tin = 4 × 0.5 L = 2 L
Therefore, the maximum volume of paint Max will need is 2 liters.
Please look at the image , they all need to be factored using DOTS moi
Hope this will help u....:)
Look at the attached picture ⤴⤴
Simplify by using Order of operations: 15/1+4 + 6+3/3
To simplify the expression 15/1+4 + 6+3/3, we perform the division operations first, followed by addition, which results in the simplified expression of 26.
To simplify the expression 15/1+4 + 6+3/3 using the order of operations, we must follow specific rules. The order of operations is often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). In the absence of parentheses and exponents in this expression, we'll focus on the multiplication/division and addition/subtraction.
First, let's look at the division and multiplication. Since there's no multiplication, we only need to perform the division operations, and we proceed from left to right:
15/1 = 15 (since any number divided by 1 is the number itself)3/3 = 1 (since any number divided by itself is 1)Now we are left with the addition operations:
15 + 4 + 6 + 1 = 26
Therefore, the simplified expression is 26. To generate accurate answers, always follow the order of operations diligently.
The simplified expression is [tex]\( 26 \).[/tex]
To simplify the expression using the order of operations (PEMDAS/BODMAS), we follow these steps:
1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Given the expression [tex]\( \frac{15}{1} + 4 + 6 + \frac{3}{3} \),[/tex] let's simplify it step by step:
1. Solve the division: [tex]\( \frac{15}{1} = 15 \) and \( \frac{3}{3} = 1 \).[/tex]
2. Now, we have:[tex]\( 15 + 4 + 6 + 1 \).[/tex]
3. Perform addition from left to right: [tex]\( 15 + 4 = 19 \), \( 19 + 6 = 25 \), \( 25 + 1 = 26 \).[/tex]
Therefore, the simplified expression is [tex]\( 26 \).[/tex]
A circle with radius 3 has a sector with central angle 1/9 pi radians what is the area of the sector
Answer:
The area of the sector is [tex]\frac{\pi}{2}\ units^2[/tex]
Step-by-step explanation:
step 1
Find the area of complete circle
[tex]A=\pi r^2[/tex]
we have
[tex]r=3\ units[/tex]
substitute
[tex]A=\pi 3^2\\A=9\pi\ units^2[/tex]
step 2
Find the area of the sector
we know that
The area of complete circle subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector by a central angle of 1/9 pi radians
[tex]\frac{9\pi}{2\pi}=\frac{x}{\frac{1}{9}\pi} \\\\x=9\pi(\frac{1}{9}\pi})/2\pi\\\\x=\frac{\pi}{2}\ units^2[/tex]
what is 2.16 repeating as a fraction
Answer:
54/25
Step-by-step explanation:
Vince successfully solved the system of equations
-5x +y = -21 and y = x - 1. Which of these statements could correctly
describe what he did?
The student solved the system of equations by substitution. He substituted y = x - 1 into the first equation and solved for x. He then substituted the value of x into the second equation to find the value of y.
Explanation:The correct statement could be that Vince substituted the equation y = x - 1 into the first equation -5x + y = -21. Next, he solved for x. Once he found the value for x, he substituted that into the equation y = x - 1 to find the value of y, providing the solution to the system of equations.
Step-by-step:
Vince substituted y in the first equation with (x - 1), and got: -5x + (x - 1 ) = -21, which simplifies to: -4x - 1 = -21.He added 1 to both sides, resulting in: -4x = -20 and then he divided both sides by -4, finding x = 5. Lastly, Vince substituted x = 5 into the second equation getting: y = 5 - 1 = 4.So, the solution to the system is x = 5, y = 4.
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How many unique triangles can be drawn with given side lengths of 8 inches, 10.3 inches, and 13 inches?
Answer:
1
Step-by-step explanation:
Three side lengths uniquely specify one triangle.
__
Additional comment
All triangles formed with the same three specific side lengths are considered to be congruent. However, the sides can be arranged smallest-to-largest in CW or CCW order. If the triangle is scalene, the different ordering will result in congruent triangles that will not overlay one another.
Only one unique triangle can be formed
Triangle
A triangle is a three-sided polygon with three vertices and three edges. It is a fundamental geometric shape.
How many unique triangle with given side lengths of 8 inches, 10.3 inches, and 13 inches?
only one unique triangle can be formed with sides length of 8 inches, 10.3 inches, and 13 inches
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If a spacecraft was parked on Venus and needed to make a flight to Jupiter, how far would it need to travel? (Assume both planets are aligned with the sun and are on the same side of the sun.) in scientific notation.
Answer:
1.08 ⋅ 10 ^8 km
Step-by-step explanation:
All I need is the answer please
Answer:
80 dollar tip
Step-by-step explanation:
16 percent of 500=80
Answer: That would be $580.
Step-by-step explanation: The tip is equal to $80 itself self you add the original amount ($500) to the tip (16%=$80) the total will be $580.
if p is 2% of k. What is 50% of k intems of P and k and if 10% of a number is 7. What is 80% of the number?
Answer:
a.p/100
b.56
Step-by-step explanation:
2% of p=k
2/100 ×p=k
2p/100=k
Cross multiply 2p=100k
P=100k/2
p=50k
Let's make k the subject of formula
k=p/50
So 50% of k in terms of p
50/100×k
And k=p/50
So let's substitute
50/100×p/50
P/100
Therefore 50%of k=p/100
Let the unknown number be x
10% of x is 7
10/100×x=7
10x/100=7
Cross multiply
10x=(100)(7)
10x=700
Divide both sides by 10
X=70
So 80% of 70
80/100×70
5600/100
=56
Therefore 80% of 70=56
Which are examples of Pythagorean Triples
A) 6, 8, 10
B) 8, 10, 12
C) 10, 16, 16
D) 12, 16, 20
E) 14, 18, 20
F) 15, 20, 25
check all the above !!
Answer:
It should be
A
F
D
Step-by-step explanation:
Just do A^2+B^2=C^2 and plug in what the three given numbers are, if A^2+B^2=C^2 and it comes out as correct meaning the sum of A and B is equal to C than boom you have a triple
Answer would be option(A){6, 8, 10}, (D) {12, 16, 20} and (F) {15, 20, 25} are examples of Pythagorean Triples
What is Pythagoras theorem?
Pythagoras theorem states that, a right-angled triangle, the square of the one side is equal to the sum of the squares of the other two sides.
{6, 8, 10}, {12, 16, 20} and {15, 20, 25} is the three Pythagorean Triples where any 2 side the sum of the squares adds up to be equal the other side.
We can test this:
6²+ 8² = 10² ⇒ 100=100
12²+16²= 20² ⇒ 400=400
15²+ 20²= 25²⇒ 625=625
Hence, {6, 8, 10}, {12, 16, 20} and {15, 20, 25} is the three Pythagorean Triples
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URGENT!!!
Shreya made the following table where she categorized countries by their region and by average business startup costs, as a percentage of the per capita gross national income (GNI) for a certain year. She decided that high meant greater than or equal to 8% but less than 70%t of the GNI and that very high meant greater than or equal to 70% of the GNI
Find the probability that the country is in the south Asia region, given that Shreya categorized the country's business startup costs as high.
P(south Asia ∣ high)=
Answer:7/87
Step-by-step explanation:
To find the probability that a country is in the South Asia region given that Shreya categorized the country's business startup costs as high, we can use conditional probability. This involves finding the intersection of the two events and dividing it by the probability of one of the events. In this case, we need the specific numbers to calculate the actual probabilities.
Explanation:To find the probability that a country is in the South Asia region given that Shreya categorized the country's business startup costs as high, we need to use conditional probability. Let's assume that event A is the country being in the South Asia region and event B is the country's business startup costs being categorized as high. We can use the formula:
P(A|B) = P(A ∩ B) / P(B)
In this case, P(A ∩ B) is the probability that the country is in the South Asia region and its business startup costs are categorized as high. P(A ∩ B) refers to the intersection of A and B, meaning the countries that fall into both categories. P(B) is the probability that the business startup costs are categorized as high, which is given as part of the question.
Since we don't have the numbers needed to calculate the actual probabilities, I'll provide an example for better understanding. Let's say there are 10 countries in total, and 3 of them are in the South Asia region. Out of these 3 countries, 2 have high business startup costs. So in this case, P(A ∩ B) = 2/10 and P(B) = 6/10. Plugging these values into the formula, we have:
P(A|B) = (2/10) / (6/10) = 2/6 = 1/3
Therefore, the probability that a country is in the South Asia region given that Shreya categorized the country's business startup costs as high is 1/3.
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The company A produces products a, and the company B produces products b. It is known that 3 percent of companies that produce products a go bankrupt over the year. Plus, the probability for companies producing products b to go bankrupt over the year is 6.1. What is the probability (given in decimal number) that both companies are going bankrupt over the year?
Answer:
0.00183
Step-by-step explanation:
The two companies produce different products and the chance to go bankrupt will be different based on the product made. So, the probability of the company A and B to go bankrupt is independent.
To find the answer of this question, we just need to multiply the probability to go bankrupt of each company. The calculation will be:
P(A=bankrupt) * P(B=bankrupt)= 3% * 6.1% =0.183%= 0.00183
What is 10b +19 when b= -2
Answer:
-1 i hope this helps! :)
Step-by-step explanation:
you are given both 10b + 19 and b = -2
lets plug in the value of b
10b(-2) + 19
multiply the 10b and the -2
-20b + 19
-20 + 19 = -1
-1
with process Plz!!Thank you very much
Step-by-step explanation:
In circle with centre O.
[tex]OA \cong OB.. (Radii\: of \:same \:circle) \\
\therefore m\angle OAB = m\angle OBA =28°\\
(m \angle 's \:opposite \:to \:congruent \:sides \:\\are \:equal) [/tex]
[tex] m \angle AOB = 180°-(m\angle OAB + m\angle OBA)\\
\therefore\: m \angle AOB = 180°-(28° + 28°)\\
\therefore\: m \angle AOB = 180°-56°\\
\therefore\: m \angle AOB = 124°\\
m \angle ACB = \frac{1}{2} \times m \angle AOB[/tex]
[tex](m\angle\: formed\: on\: the \:circle \:\\is\: half\: the\:\angle\: formed\: at\: the \:center\: \\of \:the \:circle)[/tex]
[tex] \therefore\: m \angle ACB = \frac{1}{2} \times 124°\\
\therefore\: m \angle ACB = 62°\\[/tex]
NEED ASAP PLEASE!!!!!
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
Step 1: Make an equation
[tex]\frac{12}{6} = \frac{x}{2}[/tex]
Step 2: Cross multiply
[tex]\frac{12}{6} = \frac{x}{2}[/tex]
[tex]x * 6 = 12 * 2[/tex]
[tex]6x = 24[/tex]
Step 3: Divide both sides by 6
[tex]6x / 6 = 24 / 6[/tex]
[tex]x=4[/tex]
Answer: [tex]x=4[/tex]
In ΔDEF, the measure of ∠F=90°, ED = 65, FE = 56, and DF = 33. What is the value of the cosine of ∠D to the nearest hundredth?
Answer:
[tex]cos(D)=0.51[/tex]
[tex]m\angle D=59.49^o[/tex]
Step-by-step explanation:
we know that
In the right triangle DEF
[tex]cos(D)=\frac{DF}{ED}[/tex] ---> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
[tex]cos(D)=\frac{33}{65}=0.51[/tex]
using a calculator
[tex]m\angle D=cos^{-1}(\frac{33}{65})=59.49^o[/tex]
To find the value of the cosine of angle ∠D in triangle ΔDEF, use the cosine formula with the given side lengths which is 59.49 degrees.
Explanation:In the given triangle ΔDEF, the measure of angle ∠F is 90°. We are given the lengths of the sides DF, FE, and ED as 33, 56, and 65 units respectively. To find the value of the cosine of angle ∠D, we need to use the cosine formula:
cos(D) = (DF2 + DE2 - EF2) / (2 * DF * DE)
Substituting the known values, we have:
cos(D) = (332 + 652 - 562) / (2 * 33 * 65)
= 59.49
Simplifying this expression gives us the value of the cosine of angle ∠D.
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Anna maria read 40 pages in 60 minutes. What is her unit rate in pages per minute?
Answer:
1.5 pages per minute.
Step-by-step explanation:
Answer:
Anna Maria reads 0.66 (2/3) page per minute
Step-by-step explanation:
Unit rate (speed)=distance/time, so you would divide 40 by 60. that simplifies to 2/3, or .66