Answer: [tex]V=x^3-2x^2+13x-12[/tex]
Step-by-step explanation:
Given
The area of the base is given by [tex]b(x)=x^2-x+12[/tex]
The height of the container is [tex]h(x)=x-1[/tex]
The volume of the cylindrical container is
[tex]V=Area\times height[/tex]
Insert the values
[tex]\Rightarrow V=\left( x^2-x+12\right)\cdot \left(x-1\right)\\\Rightarrow V=x^3-x^2+12x-x^2+x-12\\\Rightarrow V=x^3-2x^2+13x-12[/tex]
Help
F
Fmfnddjdhhdhd
Answer:
B) 1
Step-by-step explanation:
65 (1) +1 = 66
80 (1) = 80
66 + 80 = 146
Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 500 cm of air, to the nearest tenth of a centimeter?
Answer:
9.8 cm
Step-by-step explanation:
Volume of a sphere, V = 4/3 πr³
V = 500cm³
π = 3.14
500 = 4/3 * 3.14 * r³
500 * 3 = 4 * 3.14 * r³
1500 = 12.56r³
r³ = 1500 / 12.56
r³ = 119.42675
r = (119.42675)^1/3
r = 4.9245574
Diameter = 2r
Diameter = 2 * 4.9245574
Diameter = 9.849
= 9.8cm
A women went to Shopping.First she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining. Now she has 10$ left. How much money did she spent?
The amount of money that was spent is $120.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
In this case, the women went to Shopping and first she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining.
The fraction of money left will be:
= 1 - 4/5 - (2/3 × 1/5)
= 1 - 4/5 - 2/15
= 1/15
Since she had $10 left the original amount will be:
= $10 ÷ 1/15
= $10 × 15
= $150
The amount spent will be:
= 4/5 × $150
= $120
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Write the expression d-7 / 2 in words
Answer:
The expression "d-7 / 2" can be written in words as
Step-by-step explanation:
The expression "d-7 / 2" can be written in words as "the quotient of d minus 7, divided by 2".
This is the operation of subtracting 7 from d and then dividing the result by 2.
What is the value of c when -120 = -10c
Answer:
12
Step-by-step explanation:
-120 = -10c
12 = c
Answer:
c = 12
Step-by-step explanation:
The problem is multiplying a number, in this case c, by -10 to get -120. So, you would preform the opposite operation, which is division.
[tex]\frac{-120}{-10} =\frac{-10c}{-10}[/tex]
12 = c
Help I’ll give extra points
Answer:
51
Step-by-step explanation:
Hope this helps
180-90-39
sec 330 find the exact value in simplest form with a rational denominator
Answer:
[tex]\implies \sec 3 30^o = \dfrac{2}{\sqrt3}=\dfrac{2\sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given :-
[tex]\sec 330^o [/tex]And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,
[tex]\implies \sec (360^o-\theta)= \sec\theta [/tex]
Using this ,
[tex]\implies \sec (330^o) \\\\\rm\implies sec(360^o-30^o) \\\\\rm\implies \sec 30^o [/tex]
And the value of sec 30° is ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}[/tex]
And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}=\boxed{\red{\dfrac{2\sqrt3}{3}}}[/tex]
Hence the required answer is 2√3/3.
Use the square root method to find the solutions to the quadratic equation 22
- 80.
Write your answers separated by a comma. Make sure to simplify.
Answer:
[tex]x = 2\sqrt{2}, -2\sqrt{2}[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 8 = 0[/tex]
Required
Solve
We have:
[tex]x^2 - 8 = 0[/tex]
Add 8 to both sides
[tex]x^2 = 8[/tex]
Take square roots of both sides
[tex]x = \±\sqrt{8}[/tex]
Expand
[tex]x = \±\sqrt{4*2}[/tex]
This gives:
[tex]x = \±2\sqrt{2}[/tex]
Split
[tex]x = 2\sqrt{2}, -2\sqrt{2}[/tex]
Please help me solve
Answer:
The number of shuttles completed successfully is recorded as the score of that runner. The score is recorded in Level. Shuttles format (e.g. 9.5). The maximum laps on the PACER test is 247, which former Central Middle School student Dennis Mejia achieved, the only person to ever reach such a level.
Step-by-step explanation:
help with these please!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. 1/3 and 3
2. 4 and 4
Step-by-step explanation:
Step-by-step explanation:
Solution 1 :-
> Scale = 12/4 = 3 .
> x/ 9 = 4/12
> x = 1/3 × 9
> x = 3 in .
Solution 2 :-
> Scale = 8/2 = 4
> y / 1 = 8/2
> y = 4 ft .
PQ || NM. What equation can you use to find the length of OQ?
On solving the provided question, we can say that - As a result, Orthocenter triangle is the answer to the given triangle issue (0, - 5 ).
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
determine LN's slope.
[tex]m = (y2 - y1)/ (x2- x1) = 1-5/8-0 = 2[/tex]
formula for altitude
[tex]y - 1 = 2(x - 3) (x - 3)\\y - 1 = 2x - 6\\[/tex]
y = 2x - 5
Altitude of N and LM
[tex]m = (y2 - y1)/ (x2- x1) = 1-5/3-0 ⇒ -3/4\\y - 1 = (x - 8) (x - 8)\\y - 1 = x - 6\\[/tex]
y = x - 5
[tex]8x - 20 = 3x - 20\\5x - 20 = - 20 \\5x = 0 = > x = 0\\[/tex]
y =0 - 5 = - 5
It is the orthocenter (0, - 5 )
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Can someone please tell me the answer
Answer:
E, 5, 3
Step-by-step explanation:
We just need to connect the rectangle with dots equally placed.
Super-Mart sells a pack of 20 Pokemon cards for $1.30. Another store, Price-Town, sells a pack of 15 Pokemon cards for $1.05. Which store is offering the better deal
Answer:
Price-Town
Step-by-step explanation:
:D
write the equation in it's simplest form or as
[tex] \sqrt[n]{b} [/tex]
[tex] \sqrt[3]{56} [/tex]
9514 1404 393
Answer:
2∛7
Step-by-step explanation:
Putting the expression in simplest form will factor cubes from under the radical.
[tex]\displaystyle\sqrt[3]{56}=\sqrt[3]{2^3\cdot7}=\boxed{2\sqrt[3]{7}}[/tex]
Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 30 mm and the height of the pyramid is 18 mm. To get the wax for the candle, Devin melts blocks of wax that are each 8 mm by 6 mm by 5 mm. How many of the wax cubes will Devin need in order to make the candle? Show all formulas and calculations used to arrive at your answer
9514 1404 393
Answer:
23
Step-by-step explanation:
The volume of the square pyramid with base of side length s and height h is ...
V = 1/3s²h
V = 1/3(30 mm)²(18 mm) = 5400 mm³
The volume of a block of wax is ...
V = LWH
V = (8 mm)(6 mm)(5 mm) = 240 mm³
Then the number of blocks of wax required for a candle is ...
(5400 mm³/candle)/(240 mm³/block) = 45/2 blocks/candle
The candle is equal to the volume of 22.5 blocks of wax. We presume Devin will want to melt whole blocks, so ...
Devin needs 23 blocks of wax to make the candle.
Determine where the graph of the given function is concave upward and concave downward. Find the coordinates of all inflection points.
g(t) = t^2 - 27/t
The coordinates of the inflection points are (3, 0) and it concave upwards
How to determine the coordinates of the inflection points.From the question, we have the following parameters that can be used in our computation:
g(t) = t^2 - 27/t
Express properly
So, we have
g(t) = t² - 27/t
Calculate the second derivative
So, we have
g''(t) = 2 - 54/t³
Set the differentiated equation to 0
2 - 54/t³ = 0
So, we have
2t³ = 54
Divide by 2
t³ = 27
Take the cube roots
t = 3
Substitute t = 3 in g(t) = t² - 27/t
g(3) = 3² - 27/3
g(3) = 0
This means that the inflection point occurs at t = 3 and the coordinates of the inflection point are (3, 0)
How to determine the point of concave upward and concave downwardRecall that
g''(t) = 2 - 54/t³
Next, we check if the second derivative exist at t = 0,
g''(0) = 2 - 54/0³
g(0) = undefined
The undefined value implies that the graph has a vertical inflection point at t = 0
And as such, the graph of the function is concave upward
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Diana owns 82 acres of forest land in Oregon. She rents it to a timber grower for $ 232 per acre per year. Her property taxes are $ 39 per acre. How much profit does she make on the land each year?
Answer:
she makes 15826 $ each year
6. Solve to find the missing number.
3/12 ?/4
a) 1
b) 3
c) 9
(d) 8
Answer:
1 IS THE CORRECT ANSWERStep-by-step explanation:
SOLVE..
3/12=?/4
or,(3×4)/12=?(cross muntiply )
or,1=?
therefore 1 is yhe reguired ans..
A rectangle off the length (x+2) cm and breadth (x)cm has an area of 15cm².find the va of x hence the perimeter of the rectangle.
Answer:
The area of a rectangle is given by the formula:
area = length * breadth
In this case, the length of the rectangle is (x+2) cm and the breadth is (x) cm, so the area is:
area = (x+2) cm * (x) cm
= x^2 + 2x cm^2
We know that the area of the rectangle is 15 cm^2, so we can set up the following equation:
x^2 + 2x cm^2 = 15 cm^2
We can solve for x by using the quadratic formula:
x = (-2 +/- sqrt(4 - 41(-15))) / (2*1)
= (-2 +/- sqrt(64)) / 2
= (-2 +/- 8) / 2
= (-4, 2)
We have two solutions for x, so we need to consider both of them to find the dimensions of the rectangle.
If x=-4, then the length of the rectangle is (x+2) cm = (-4+2) cm = (-2) cm and the breadth is (x) cm = (-4) cm. Since the length and breadth of a rectangle must both be positive, this solution is not valid.
If x=2, then the length of the rectangle is (x+2) cm = (2+2) cm = 4 cm and the breadth is (x) cm = 2 cm. These dimensions give us a valid rectangle with an area of 15 cm^2.
The perimeter of the rectangle is the sum of all four sides, so the perimeter is 2 cm + 2 cm + 4 cm + 4 cm = 12 cm.
Therefore, the value of x that gives us a rectangle with an area of 15 cm^2 and a perimeter of 12 cm is x=2.
Jorge gives 3 chocolate bars to his friend. HE GIVES 1/12 OF CHOCOLATE BAR TO EACH FRIEND. HOW MANY FRIENDS DOES HE GIVE A PIECE OF CHOCOLATE TO
find the exact value of the expressions
Answer:
here is your correct answer and listen question no four option are incorrect
what is the value of Y?
Answer:
y = 3
Step-by-step explanation:
2y + 4 = 10
2y = 6
y = 3
A man can do 1/2 part of a work in 1 hour 50 minutes. How many
hours and minutes does he take to complete the whole work?
Answer:
3 hours and 40 minutes.
Step-by-step explanation:
To make it easier, we can first convert 1 hour 50 minutes to all minutes. 1 hour is 60 minutes, so it would be 110 minutes.
The problem tells us that 1/2 of the work takes 110 minutes, and we need to find the amount of time it takes to complete the entire work.
1/2 is well, half of a whole. That means it is 50% done, and 50% takes 110 minutes to complete. The other 50% then, would ALSO take 110 minutes, as it is the same. Therefore, since there are two sets of 110 minutes, it would be 110*2, giving us 220 minutes, or 3 hours and 40 minutes.
In a certain chemical, the ratio of zinc to copper is 3 to 14. A jar of the chemical contains 686 grams of copper. How many grams of zinc does it contain?
Answer:
Ratios and fractions are connected. A ratio of 3 to 14 is the same thing as 3/14. Multiply 686 by 3/14. You will get 147. That is your amount of zinc. If we simplify 147/686, or 147:686, we get 3:14 confirming our answer.
Answer:
147 grams of zinc-----------------------------------
Let the amount of zinc be x. Then we have equal ratios:
3/14 = x/686Solve it for x:
x = 686*3/14x = 147cant figure out what sin 40 - sin 20=
Answer:
sin 40 - sin 20 = 0.3007674664 approximately
Step-by-step explanation:
We cannot write the given expression in exact form, so you have to use the calculator, which works out to be 0.3007674664 approximately.
1.
(01.01 LC)
Subtract 28.9 − 9.25 =
19/65
(1 point)
2.
(01.01 C)
When adding 32.6 to a certain number, the sum is 36.14, as seen below. What number should go in the box to complete the addition problem?
The decimal 32.6 is added to an unknown whole number and 54 hundredths to equal 36.14.
(1 point)
36.14
3.
(01.02 LC)
Multiply 11.9 × 22.1. (1 point)
2.6299
2,629.9
262.99
26.299
4.
(01.03 LC)
What is the remainder when 16,055 is divided by 16? (Input numeric values only) (1 point)
10,03 and the remainder is 7
5.
(01.03 MC)
What is the quotient of 52.7 ÷ 4.25? (1 point)
1.24
12.4
13.28
132.8
6.
(01.05 MC)
Gracy has fraction 4 over 5 pound of bird seed. She needs fraction 3 over 10 pound to feed the birds daily. Which of the rectangle models below shows how many days' worth of seed Gracy has left? (1 point)
Rectangle model divided into five equal sections, four sections are labeled four-fifths and three sections are labeled three-tenths, equaling one and one-half days.
Rectangle model divided into ten equal sections, five sections are labeled four-fifths and three sections are labeled three-tenths, equaling one and two-thirds days.
Rectangle model divided into five equal sections, four sections are labeled four-fifths and two sections are labeled three-tenths, equaling two days.
Rectangle model divided into ten equal sections, eight sections are labeled four-fifths and three sections are labeled three-tenths, equaling two and two-thirds days.
7.
(01.06 HC)
Jessica used Fraction 2 over 3 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 3 over 4 yards of fabric, and why? (1 point)
Yes, because the quotient of Fraction 1 and 3 over 4 ÷ fraction 2 over 3 is 2 and 5 over 8
No, because the quotient of Fraction 2 over 3 ÷ Fraction 1 and 3 over 4 is 1 and 2 over 12
No, because the quotient of Fraction 1 and 3 over 4 ÷ fraction 2 over 3 is 1 and 2 over 12
Yes, because the quotient of Fraction 2 over 3 ÷ Fraction 1 and 3 over 4 is 2 and 5 over 8
8.
(01.07 MC)
A right rectangular prism has these dimensions:
Length − Fraction 1 and 1 over 4 units
Width − Fraction 5 over 8 unit
Height − Fraction 3 over 4 unit
How many unit cubes of side length Fraction 1 over 8 unit are required to pack the prism without any gap or overlap? (1 point)
60
75
150
300
9.
(02.01 MC)
A fish tank has black and white fish in the ratio of 2 to 6 as shown below:
2 black fish and 6 white fish are shown
Which is another ratio that can describe the black to white fish? (1 point)
1 to 5
5 to1
1 to 3
3 to 1
10.
(02.02 MC)
Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water? (1 point)
one over ten
one over five
two over seven
two over five
11.
(02.03 LC)
Victor made different flags that had the same ratio of the length to the width. The table below shows the length and width of the flags Victor made:
Length (centimeter)
Width (centimeter)
3
2
6
4
9
6
12
8
?
10
The missing value in the table is
centimeters. (1 point)
12.
(02.03 MC)
The ratio of the number of cookies to the number of candies in different gift boxes is 5:7. Which table best shows the number of cookies and candies in different gift boxes? (1 point)
Cookies
Candies
5
12
10
24
15
36
Cookies
Candies
2
7
10
35
12
42
Cookies
Candies
10
14
15
21
20
28
Cookies
Candies
11
13
14
16
18
20
13.
(02.03 MC)
A printer printed 68 letters in 4 seconds. If it prints letters at a constant speed, it can print
letters in 30 seconds. (1 point)
help yall please!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Well it would be funchen because as you see it just makes sence
Answer:
not a function
Step-by-step explanation:
In a function, an input gives only one output. As you can see from the graph, the input which is 4 produces 3 different outputs which are 2, 3 and 4, thus it cannot be a function.
The circumference of a circle is 22 meters. What is the approximate
diameter of the circle?
A 7 meters
B 11 meters
C. 19 meters
D. 69 meters
Geometry homework :/
The length of PZ is 7 units.
What is Centroid Property?According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the side midpoints.
Given:
As, Centroid is the point where all median of a Triangle intersect.
Here, we have centroid 'P'.
Now, using the property of Centroid that the Centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.
So, SP = 1/3 SZ => SZ = 3SP
and, PZ = 2/3 SZ => SZ = 3/2 PZ
Then, 3SP = 3/2 PZ
3(3.5) = 3/2 PZ
10.5 x 2 = 3 PZ
21 = 3PZ
PZ = 7 units
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Lesson 17
Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Hypotenuse = 14.5 meters
Opposite side = 6.3 meters
θ = ?
The measure of the angle (θ) is equivalent to sin⁻¹(6.3/14.5).
What is Pythagoras theorem?The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. Mathematically, it can be written as -
(hypotenuse)² = (base)² + (perpendicular)²
Given is a right angle triangle with hypotenuse as 14.5 meters and
opposite side as 6.3 meters.
We can write sine of the angle (θ) as -
sin(θ) = P/H
sin(θ) = Opposite side/Hypotenuse
sin(θ) = 6.3/14.5
(θ) = sin⁻¹(6.3/14.5)
Therefore, the measure of the angle (θ) is equivalent to sin⁻¹(6.3/14.5).
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