ANSWER
A. 22 in
EXPLANATION
The volume of a cone is calculated using the formula:
[tex]Volume = \frac{1}{3} \times \pi {r}^{2} h[/tex]
It was given that: the volume is 2,279.64 in³
The height of the cylinder is also given as: h=18 in.
We substitute, the given values into the formula to get:
[tex]2279.64= \frac{1}{3} \times (3.14) \times {r}^{2} \times 18[/tex]
[tex]2279.64= 18.84 {r}^{2} [/tex]
[tex] {r}^{2} = \frac{2279.64}{18.84} [/tex]
[tex] {r}^{2} = 121[/tex]
We take positive square root to get;
[tex]r = \sqrt{121} [/tex]
[tex]r = 11in[/tex]
Therefore the diameter is 2(11) which is equal to 22 inches.
You are a first year police officer in Swanton, Ohio. You are earning a monthly salary of $2,200. Next year you will be given a raise to $29,890 annually. How much more per month will you earn your second year?
About $290.83.
Hope this helps!
The police officer will earn approximately $290.83 more each month in his second year, as his annual salary will raise from $26,400 to $29,890.
Explanation:In this scenario, we are dealing with a salary raise and how it affects the overall monthly income. The first year, the police officer is earning $2,200 per month, which translates to an annual salary of $26,400 (since there are 12 months in a year, you can simply multiply the monthly income by 12 to find this). The second year, his annual salary will be raised to $29,890.
To see how much more they will be making a month, subtract the first year's annual salary from the second year's total ($29,890 - $26,400 = $3,490). This is the total raise for the year, but we want to find out how much more the officer will be making a month. Since the raise is distributed over 12 months, simply divide this total by 12 to get the answer. $3,490 ÷ 12 = approximately $290.83. So, the police officer will be making around $290.83 more each month in the second year.
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A chili recipe makes enough for 4 servings. The recipe calls for 5 tomatoes. You plan on making enough chili for 10 servings. How many tomatoes will you use?
Answer: 12.5 tomatoes
Step-by-step explanation:
You know that the recipe for 4 servings requires 5 tomatoes and you want to make chili for 10 servings. Therefore, to calculate the amount of tomatoes required for this, you should use the following conversion factor:
[tex]\frac{5\ tomatoes}{4\ servings}[/tex]
Now multiply the conversion factor by the 10 servings:
[tex]=(10\ servings)(\frac{5\ tomatoes}{4\ servings})\\=12.5\ tomatoes[/tex]
Therefore, you will use 12.5 tomatoes to make 10 servings.
Answer:
Tomatoes for 10-servings = 12.5
Step-by-step explanation:
Given
Number of tomatoes for 4 servings = 5
So we can calculate the number of tomatoes for one serving by dividing the serving by number of tomatoes.
So,
Number of tomato for one serving = 5/4
= 1.25
Now we can calculate the number of tomatoes for 10 servings
Number of tomatoes for 10 servings = Number of tomatoes for one serving * 10
= 1.25 * 10
= 12.5 tomatoes
Find the missing number if the mean is 2.3. 2.3,4.1,1.2,1,0.5
Answer:
Step-by-step explanation:
In this problem, you have to work sort of backwards.
The mean is 2.3 and there are 6 numbers [including this missing one] so multiply 2.3 by 6.
2.3 x 6 = 13.8
Now, subtract the 5 values you know from 13.8
13.8 - 2.3 - 4.1 - 1.2 - 1 - 0.5 = 4.7
Thus, the missing value is 4.7
I hope this helps!
Find the measure of the central angle that you would draw to represent 20% in a circle graph.
A. 18°
B. 60°
C. 72°
D. 20°
Answer:
C
Step-by-step explanation:
The central angle is 20% of 360°, that is
central angle = [tex]\frac{20}{100}[/tex] × 360° = 0.2 × 360° = 72° → C
Answer:
Find the measure of the central angle that you would draw to represent 20% in a circle graph.
A. 18°
B. 60°
C. 72°
D. 20°
Step-by-step explanation:
The central angle is 20% of 360°
20 % of 360 = 72°
If m AE = 120, and m BD = 50, what is the measure of BCD?
Answer:
The measure of angle BCD is [tex]35\°[/tex]
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
[tex]m<BCD=\frac{1}{2}(120\°-50\°)=35\°[/tex]
What number is 20 less than 150% of 80
Answer:
100
Step-by-step explanation:
"What number" means a variable, like x.
"Is" means equals.
"Less than" means subtracted from.
Percent means out of 100.
"Of" means multiplication.
x = (150/100) 80 - 20
x = 120 - 20
x = 100
Zoey is covering a 14-inch-square board with 1-inch-square tiles. She uses gray tiles to make three 3-in. by 3-in. squares on the board. She covers the rest of the board with white tiles.
How many more white tiles than gray tiles will Zoey use?
Answer:
[tex]142\ tiles[/tex]
Step-by-step explanation:
step 1
Find the total tiles in the square board
The total area of the square board is equal to
[tex]A=14^{2}=196\ in^{2}[/tex]
Remember that each tile is 1-inch-square
so
by proportion
The total tiles is equal to
[tex]196\ tiles[/tex]
step 2
Find the number of gray tiles in the square board
The total area of gray tiles in the square board is equal to
[tex]A=3[(3)(3)]=27\ in^{2}[/tex]
Remember that each tile is 1-inch-square
so
by proportion
The total gray tiles is equal to
[tex]27\ tiles[/tex]
step 3
Find the number of white tiles in the square board
Subtract the number of gray tiles from the total number of tiles
[tex]196-27=169\ tiles[/tex]
step 4
Find out how more white tiles than gray tiles will Zoey use
Subtract the number of gray tiles from the number of white tiles
[tex]169-27=142\ tiles[/tex]
look at picture and plzz help
Answer:
D. -2x+3y=12
Step-by-step explanation:
add -2x to both sides of the equationdivide 3 on both sides of the equationthe line is y=2/3x +4you could also move the variable to the rightdivide both sides by -2and get x=-6+3/2yANSWER
D. -2x+3y=12
EXPLANATION
The given line passes through:
(0,4) and (-6,0)
These are the x and y intercepts.
The equation is given by :
[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]
where a= -6 is the x-intercept and b=4 is the y-intercept.
We substitute the values to get,
[tex]\frac{x}{ - 6} + \frac{y}{4} = 1[/tex]
Multiply through by 12,
[tex]\frac{x}{ - 6} \times 12 + \frac{y}{4} \times 12 = 1 \times 12[/tex]
[tex] - 2x + 3y = 12[/tex]
The correct answer is D .
I NEED HELP
a33=
A. 1
B. 6
C. 8
Answer:
The correct answer is option A. 1
Step-by-step explanation:
Points to remember
An element in a matrix is represented by Eₐₓ
It means that the element in ath row and xth column
From the figure we can see that a 4 x 4 matrix.
To find element a₃₃
From the given matrix we get a₃₃
a₃₃ means element in 3rd row and 3rd column
Here a₃₃ = 1
Therefore the correct answer is option A. 1
Suppose a helium balloon is filled with 1,000 cm^3 of helium. Identify the amount of helium that will be in the balloon on the second and third days.
Answer:
On second day: 500 cm^3
On third day: 250 cm^3
Step-by-step explanation:
Let x be the initial amount of helium gas in the balloon.
As it is mentioned in the question that the balloon loses half of it's gas in one day. So after one day the gas will be half of the current volume. And to calculate the volume of gas the next day, the reduced volume will be divided by two.
So,
x = 1000 cm^3
Volume on second day,
x1 = 1000/2
=> 500 cm^3
Volume of gas on third day
x2 = x1/2
=> 500/2
=> 250 cm^3
Answer:
the answer is 500cm^3 and 250cm^3
Step-by-step explanation:
This is the correct answer to your question.
Perform the indicated operation. (12x2 + 7y3)(4x2 + 7y3)
ANSWER
[tex]48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}[/tex]
EXPLANATION
We want expand:
[tex](12x^2+8y^3)(4x^2+7y^3)[/tex]
We expand using the distributive to obtain:
[tex]12 {x}^{2} (4 {x}^{2} + 7 {y}^{3} ) + 8 {y}^{3} (4 {x}^{2} + 7 {y}^{3} )[/tex]
[tex]48 {x}^{4} + 28 {x}^{2} {y}^{3} + 32{x}^{2} {y}^{3} + 56 {y}^{6}[/tex]
Simplify further by combining the two terms in the middle:
[tex]48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}[/tex]
Answer:
[tex]48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}[/tex]
Step-by-step explanation:
Which number is a constant in the algebraic expression?
-x*2*-6y+13x+7
-6
-1
7
13
the ** means to the power of
Answer:
7
Step-by-step explanation:
The given algebraic expression is;
[tex]-x^2-6y+13x+7[/tex]
This is an algebraic expression in x and y.
Any term that is independent of these two variables is called the constant term.
The term '7' is independent of these variables.
Hence the constant term is 7.
Write 169=13^2 in Logarithmic form
Answer:
logbase13(169)=2
Step-by-step explanation:
Convert the exponential equation to a logarithmic equation using the logarithm base (13)of the left side (169) equals the exponent (2).
In the logarithimic form we have the equation as [tex]log_{13} 169 = 2[/tex].
What is the logarithmic form?We must note that we can write either in the logarithmic form or in the index form.
In this case, we have written in the index form as [tex]169=13^2[/tex]. In the logarithimic form we have the equation as [tex]log_{13}169 = 2[/tex].
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Are the lengths of the side of the square and perimeter of the square related proportionally? Why or why not
Answer:
They are proportional
Step-by-step explanation:
becaue the length of one of the square's sides is 1/4 the perimeter
find polar coordinates of the point that had rectangular coordinates
Answer:
(6.08,170.54)
Explanation:
It goes 6 to the left and 1 up
Using Pythagorean theorem= 1/6=tan(angle)
Inverse tan 1/6= angle
= 9.46 degrees
180-9.46= 170.54 degrees is the angle
1^2+(-6)^2=h^2
1+36=h^2
h= square root of 37
h= 6.08
Hope you get it!
solve the following quadratic equation for x by completing the square and solve x^2-8x=-65
Answer:
x= 4-7i x= 4+ 7i
Step-by-step explanation:
step 1 : make equation = 0
[tex]x^{2}[/tex] - 8x + 65 = 0
step 2 : solve for x [ using the quadratic equation]
ie : x = -b ± [tex]\sqrt{b^{2}-4ac}[/tex] / 2a
so it will look like this
x= -(-8) ± [tex]\sqrt{(-8)^{2} - 4(1)(65)}[/tex] /2(1)
when you simplify you wont be able to root the -196 so you will have to separate the roots
x = 8 ±( [tex]\sqrt{-1}[/tex] )( [tex]\sqrt{196}[/tex]) / 2
now there is a rule for negative roots whereby [tex]\sqrt{-1}[/tex] is equivalent to i so now you will change [tex]\sqrt{-1}[/tex] into i
Simplify [tex]\sqrt{196}[/tex]
which will give you 14
now place all the new values into the formula
8 ± 14i /2
you can then further simplify to
4 ± 7i
step 3 : separate
this will give you the final answer of
x= 4 + 7i x= 4- 7i
Answer:
x = 4+7i and x=4-7i
Step-by-step explanation:
I just did the test
What is the value of
the 7 in the number
472,085?
The 7 is in the 10 thousandth place of the number 472,085
That means is has the value of 70,000
Answer:
70,000
Step-by-step explanation:
The 7 is in the 10,000 place so therefore it would be 7 multiplied by 10,000
A set of numbers is shown:
{0, 2.6, 4.2, 5, 10, 15}
Which of the following shows all the numbers from the set that make the inequality 5x + 3 ≥ 28 true?
please answer quick!!
The correct answers are 5, 10, and 15. I'm doing the same subject and I got a 100 on a question similar. Good luck!
Answer:
5, 10, and 15
Step-by-step explanation:
there are 25 red markers in the tub, there were 32 blue markers in the tub, and there were 38 green markers in the tub. what is the mode of this data?
38 green is d mode of the data
Find the area of a circle with the circumference 18(pi)
Answer:
D 81 pi units^2
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
18 pi = 2 * pi *r
Divide each side by 2 * pi
18 pi / (2 pi) = 2 pi * r/ (2 pi)
9 = r
Now we can find the area. Area is given by
A = pi r^2
A = pi * 9^2
A = 81 pi units^2
Circumference = [tex]2\pi r[/tex]
[tex]\frac{18\pi}{2\pi} = \frac{2\pi r }{2\pi }[/tex]
18 ÷ 2 = 9
r = 9
-----------------------------------------------------------------------------------------------------------------
Area = [tex]\pi r^{2}[/tex]
= [tex]\pi (9)^{2}[/tex]
= 81[tex]\pi[/tex] units².
A square has a length 6√6 inches. What is the area of the rectangle?
1.) 36√6 square inches
2.) 36 square inches
3.) 216 square inches
4.) 216√6 square inches
Please if you answer can you explain how to solve for both perimeter and area?!?!
Answer:
c. 216 inches
Step-by-step explanation:
6*6=36
Root 6 times root 6=6
36 times 6 is 216
Answer:
Area of square= 216 square inches
Perimeter of square [tex]= 24\sqrt{6}[/tex] inches.
Step-by-step explanation:
Given that length of the side of the square = [tex]6\sqrt{6}[/tex] inches.
Now we need to find area of the rectangle. So apply the formula area of rectangle
[tex]Area of square= (side)^2[/tex]
[tex]Area of square= (6\sqrt{6})^2[/tex]
[tex]Area of square= 6^2(\sqrt{6})^2[/tex]
[tex]Area of square= 36(6)[/tex]
Area of square= 216 square inches
Similarly
[tex]Perimeter of square= 4(side)[/tex]
[tex]Perimeter of square= 4(6\sqrt{6})[/tex]
Perimeter of square [tex]= 24\sqrt{6}[/tex] inches.
You have 120 grams of a radioactive form of nitrogen. If its half-life is 10 minutes, how much, in grams, will be left after 20 minutes?
Answer:
30 gms
Step-by-step explanation:
half life time means time taken for material to become half of its quantity
120 gms will become 60 gms in 10 mins
then in 20 mins, it will be 30 gms
After 20 minutes 30 grams amount of radioactive form of nitrogen left.
Given
The total amount radioactive form of nitrogen = 120 grams
What is half-life?The time is taken for the radioactivity of a specified isotope to fall to half its original value:
The formula is used to calculate half-life is;
[tex]\rm Half \ life = \dfrac{Amount \ of \ substance}{2}[/tex]
The half-life of the nitrogen after 10 minutes;
[tex]\rm Half \ life = \dfrac{Amount \ of \ Nitrogen}{2} \\\\ Half \ life = \dfrac{120}{2}\\\\\rm Half \ life = 60 \ grams[/tex]
The half-life of the nitrogen after 10 minutes is 60 grams.
The half-life of nitrogen after 20 minutes;
[tex]\rm Half \ life = \dfrac{Amount \ of \ Nitrogen}{2} \\\\ Half \ life = \dfrac{60}{2}\\\\\rm Half \ life = 30 \ grams[/tex]
Hence, after 20 minutes 30 grams amount of radioactive form of nitrogen left.
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Solve this system of linear equation.Separate the x- and y-values with comma. 16x=6-18y -10x=-24+18y
Answer:
(5,-37/9)
Step-by-step explanation:
Divide the first equation by 2 and the second equation by 2.
8x=3-9y, -5x=-12+9y
Isolate the 9y's
8x-3=-9y, -5x-12=9y
Add the equations together so that the two y's cancel out
8x-3=-9y
-5x-12=9y +
3x-15=0
Solve this equation to get...
x=5
Plug that in to the original equations to get y=-37/9
Answer:
(x,y) = (-3,3)
Step-by-step explanation:
16x=6-18y
-10x=-24+18y
We need to solve the above equations to find the values of x and y.
Rearranging the above equations
16x + 18y - 6 = 0 => eq(1)
-10x -18y +24 =0 => eq(2)
Adding eq(1) and eq(2)
16x + 18y - 6 = 0
-10x -18y +24 =0
-----------------------
6x + 18 =0
6x = -18
x= -18/6
x= -3
Putting value of x in eq(1) i.e
16x + 18y - 6 = 0
x= -3
16(-3) + 18y - 6 =0
-48 + 18y -6 =0
18y - 54 = 0
18y = 54
y= 54/18
y= 3
So, value of x = -3 and y = 3
(x,y) = (-3,3)
The school soccer coach records the number of goals some players have scored so far this season. The dot plot of the number of goals is shown below.
What is the mean absolute deviation of the data set?
Identify all of the striking deviations.
Answer:
the means absolute deviation is 1.8
the striking deviation is 7
(it is because the data point on the far right of the graph)
Step-by-step explanation:
calculate the absolute deviation:
1. calculate the mean (add all numbers and divide by 10) = 2.6
2. find the absolute value of each
2.6 - 0 = 2.6
2.6 - 1 = 1.6 (you have 1's 4 times so each one will be 1.6)
2.6 - 3 = 0.4
2.6 - 4 = 1.4 (you have 4's 3 times)
2.6 - 7 = 4.4
3. Then add all of those values together
2.6 + 1.6 + 1.6 + 1.6 + 1.6 + 0.4 + 1.4 + 1.4 + 1.4 + 7.4 = 18
4. find the mean of the difference
18/10 = 1.8
Answer:
1.8 and 7, just like the other person said<3
Step-by-step explanation:
Find the surface area of the regular pyramid.
It would be 170.1
Steps:
Each triangle side: 10 × 9 = 90 × 0.50 = 45
Since there are three sides: 45 × 3 = 135
Bottom triangle: 9 × 7.8 = 35.1
135 + 35.1= 170.1
Please mark as Brainliest! :)
Answer:
170.11
Step-by-step explanation:
Question
Find the surface area of the regular pyramid.
yd2
Question
Find the surface area of the regular pyramid.
yd2
Question
Find the surface area of the regular pyramid.
yd2
Question
Find the surface area of the regular pyramid.
yd2
PLZZZ HELP Find the inverse of a 2x2 matrix
Plz give answer .
Answer:
[tex]\left[\begin{array}{cc}-\frac{1}{2}&\frac{1}{6}\\-\frac{1}{2}&\frac{1}{3}\\\end{array}\right][/tex]
Step-by-step explanation:
If a 2x2 matrix is given as:
[tex]\left[\begin{array}{cc}a&b\\c&d\\\end{array}\right][/tex]
The inverse is:
[tex]\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right][/tex]
Our matrix given is:
[tex]\left[\begin{array}{cc}-4&2\\-6&6\\\end{array}\right][/tex]
Using the formula, let's find the inverse:
[tex]\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right]\\=\frac{1}{(-4)(6)-(-6)(2)}\left[\begin{array}{cc}6&-2\\6&-4\\\end{array}\right]\\=\frac{1}{-12}\left[\begin{array}{cc}6&-2\\6&-4\\\end{array}\right]\\=\left[\begin{array}{cc}-\frac{1}{2}&\frac{1}{6}\\-\frac{1}{2}&\frac{1}{3}\\\end{array}\right][/tex]
Solve for a and b in the graphed hyperbola
ANSWER
a=1 and b=-12
EXPLANATION
The hyperbola has a hole at:
x=3
and a vertical asymptote at x=-4.
This implies that the denominator of the rational function is
(x-3)(x+4)
We expand to get;
[tex] {x}^{2} + 4x - 3x - 12[/tex]
This simplifies to:
[tex]{x}^{2} + x - 12[/tex]
comparing to
[tex] {x}^{2} + ax + b[/tex]
We have a=1 and b=-12
i neeeeed helppppppp pleaeeeeeeeeeee
Answer:
its c
Step-by-step explanation:
Answer: Option C.
Step-by-step explanation:
The surface area of the right triangular will be the sum of all its faces.
You can observe in the figure that the faces of the right triangular prism are: Two equal right triangles and three different rectangles.
The formula for calculate the area of a triangle is:
[tex]A=\frac{bh}{2}[/tex]
Where "b" is the base and "h" is the height.
The formula for calculate the area of a rectangle is:
[tex]A=lw[/tex]
Where "l" is the length and "w" is the width.
Then, the surface area of the right triangular prism is:
[tex]SA=\frac{ba}{2}+\frac{ba}{2}+dc+db+da\\\\SA=2(\frac{ba}{2})+d(c+b+a)\\\\SA=2(\frac{4cm*3cm}{y})+8cm(5cm+4cm+3cm)\\\\SA=108cm^2[/tex]
Evaluate the expression: –(31 + 2) + 72 – (–5)2.
A. 41
B. –40
C. –9
D. –5
Evaluating the expression step-by-step, the final answer is 14. This indicates there may be a misinterpretation or error in the options as 14 is not listed among the provided choices.
Explanation:Let's break down the expression step-by-step to evaluate –(31 + 2) + 72 – (–5)2.
First, add within the parentheses: 31 + 2 = 33. So, the expression now looks like: –33 + 72 – (–5)2.Next, address the negative sign in front of the first set of parentheses, which essentially means we're multiplying by -1. Thus, -33 becomes the term to work with.The term –(–5) should be addressed next. Remembering that subtracting a negative is the same as adding the positive, we can simplify (–5) as +5. Therefore, the squared term is 52 which is 25.So, we have: –33 + 72 - 25. Add 72 to –33, which gives us 39. Then, subtract 25 from 39 to get the final answer.39 – 25 = 14.Therefore, the correct evaluation of the expression is 14, which is not among the provided options, indicating a possible error in the question or the options provided.
find the axis of symmetry and vertex for the following equations. y=-x^2-4x+1
Answer:
hello :
the axis of symmetry is the line wher an equation is : x =2
the vertex is : ( 2 ; 5 )
Step-by-step explanation:
write this expression in the vertex form :
y=-x²-4x+1
y = - ((x² +4x +4) -4) +1
y = - (x -2)²+5
the axis of symmetry is the line wher an equation is : x =2
the vertex is : ( 2 ; 5 )