Answer:
radius^2 = 3 * Volume / (PI * height)
radius^2 = 3 * (142 cc / 3.14159265 * 8.5)
radius^2 = 3 * (142 cc / 26.703537525 )
radius^2 = 15.9529425493
radius = 4.0 cm
Step-by-step explanation:
Final answer:
The radius of a cone-shaped paper cup with a volume of 142 cubic centimeters and height of 8.5 centimeters is approximately 4 centimeters when rounded to the nearest centimeter.
Explanation:
To determine the radius of a paper cup that is a right circular cone with a given volume, we will use the formula for the volume of a cone V = (1/3) πr²h. The volume, V, is provided as 142 cubic centimeters, and the height, h, is 8.5 centimeters.
Rearrange the formula to solve for the radius, r, as follows:
Divide both sides by π and 8.5 to isolate ¹⁄₃r² on one side.
Multiply both sides by 3 to get rid of ¹⁄₃.
Take the square root of both sides to solve for r.
Once we have the value of r, we round it to the nearest centimeter as the question asks for an approximation to the nearest whole number.
Let's perform the calculation:
V = (1/3)πr²(8.5) => 142 = πr²(8.5/3)
142 = (π × 8.5/3)r²
142 / (π × 8.5/3) = r²
r² ≈ 142 / (3.14159 × 8.5/3)
r² ≈ 15.91549431
r ≈ √15.91549431 ≈ 3.99 cm
Round r to the nearest centimeter: r ≈ 4 centimeters
f(-2) : f(x)= -x^2+5x-12
EASY PEASY i got u bro
f(-2) = -(-2) + 5(-2) - 12
= 2 -10 -12
= -20
F(-2) = -20
Just plug in -2 for x
Help me please. Solve this equation with the steps. -5•10^x=-31. Thank you
Answer:
[tex]x=0.79[/tex]
Step-by-step explanation:
we have
[tex]-5(10^{x})=-31[/tex]
step 1
Divide by -5 both sides
[tex]10^{x}=31/5[/tex]
step 2
Apply log both sides
[tex]log[10^{x}]=log[31/5][/tex]
step 3
Applying Property of logarithms
Remember that
[tex]log(x^{y})=ylog(x)[/tex]
so
[tex]xlog[10]=log[31/5][/tex]
Remember that
[tex]log(10)=1[/tex]
substitute
[tex]x=log[31/5][/tex]
[tex]x=log(6.2)[/tex]
[tex]x=0.79[/tex]
If you vertically compress the absolute value parent function, f(x) = [xl, by a
factor of 4, what is the equation of the new function?
Answer:Vertical stretch/compression is achieved by multiplying the function by a certain constant. In particular, if the function is vertically stretched by a factor k, otherwise, if , the function is vertically compressed by a factor k. So, in your case, you want to multiply the function by 1/4.
A closed container has 5.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10−24 grams.
Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container? (1 point)
8.42 grams, because (5.04 ⋅ 1.67) ⋅ (1023⋅ 10−24 ) = 8.4168
6.71 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71
0.67 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71 ⋅ 10−1
0.84 grams, because (5.04 ⋅ 1.67) ⋅ (1023⋅ 10−24 ) = 8.4168 ⋅ 10−1
Answer:
The correct option is the last one (0,84 grams, because (5.04 × 1.67) × (10^23 x 10^-24) = 8.4168 x 10^-1))
Step-by-step explanation:
The first step is to think that you have to multiply the number of atoms for the weight of each atom.
When you work with scientific notation, you should solve the operation for numbers and for the ten base. In this case you solve 5.04 x 1.67 and then the product of the ten bases. For this product you have to sum the exponents of the ten base 23 + (-24) = -1.
Summarizing.... 5.04 x 10^23 x 1.67 x 10^-24 = (5.04 x 1.67) x (10^23x10^-24) ⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 8.4168 x 10^-1
⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 0,84168.
Answer:
the answer is d the last one
Step-by-step explanation:
Is this statement is true -8< 8
13/15 + 1/8 =
Please help
Answer: = 119/120
Step-by-step explanation:
=
104
120
+
15
120
=
104+15
120
=
119
120
(Decimal: 0.991667)
Given 35,000, find each share in the ratio 2:5
Answer:
14000:21000
Step-by-step explanation:
2:3 = 2x + 3x
2x + 3x = 35,000
5x = 35,000
x = 35,000/5
x = 7000
2x = 7000 * 2
= 14000
3x = 7000 * 3
= 21000
HELP needed!
Complete the steps to find the value of x within the plane?
Answer:
Step-by-step explanation:
Tomas and Kyle each bought a shirt at the school store. Tomas gave the cashier a $20 bill and received $6.15 in change. Kyle
gave the cashier a $10 bill and received $1.06 in change. Which statement about the cost of the shirts is true?
Tomas's shirt costs $5.09 more than Kyle's shirt.
Answer:
for tomas 19.100-6.15=$13.85dollars
so tomas's shirt cost $13.85
for kyle 9.100-1.06=$8.94
13.85-8.94=4.91
so tomas's shirt $4.91more than Kyle's shirt
Answer:
Tomas's shirt costs $4.91 more than Kyle's shirt.
Step-by-step explanation:
It is given that Tomas gave the cashier a $20 bill and received $6.15 in change. So, the cost of Tomas's shirt is the difference between the amount he gave and he received in change.
Cost of Tomas's shirt = $20 - $6.15 = $13.85
Kyle gave the cashier a $10 bill and received $1.06 in change. So,
Cost of Kyle's shirt = $10 - $1.06 = $8.94
The cost of Tomas's shirt is $13.85 and the cost of Kyle's shirt is $8.94.
Cost of Tomas's shirt is more that the cost of Kyle's shirt.
$13.85- $8.94=$4.91
Therefore, Tomas's shirt costs $4.91 more than Kyle's shirt.
Tommy is beginning a science experiment in the lab. The instruction call for 0.322 kilgram of potassium. Write 0.322 as a fraction
the answer is
161/500
Parallelogram L M N O is shown. Angle N is (2 x) degrees and angle L is (3 x minus 20) degrees. What is the measure of angle L in parallelogram LMNO? 20° 30° 40° 50°
Answer:
The measure of angle L is 40°
Step-by-step explanation:
we know that
In a parallelogram the opposite angles are congruent and the opposite sides are congruent and parallel
see the attached figure to better understand the problem
so
In this problem
∠L≅∠N
∠M≅∠O
we have
∠L=(3x-20)°
∠N=(2x)°
so
equate the angles and solve for x
[tex](3x-20)\°=(2x)\°[/tex]
[tex]3x-2x=20[/tex]
[tex]x=20[/tex]
Find the measure of angle L
[tex]L=(2x)\°[/tex]
substitute the value of x
[tex]L=(2(20))=40\°[/tex]
Answer: what the other guy said
Step-by-step explanation: yea
How do I solve 80+(-22 4/15)
Final answer:
The expression 80 + (-22 4/15) is solved by converting the mixed number to an improper fraction, aligning the fractions by the same denominator, and then adding them to get 58 4/15 as the result.
Explanation:
To solve the expression 80 + (-22 4/15), follow these steps:
First, convert the mixed number -22 4/15 into an improper fraction. To do this, multiply the whole number by the denominator and add the numerator: (-22 × 15) + 4 = -330 + 4 = -326, so the mixed number becomes -326/15.
Next, since 80 is a whole number, we can convert it into a fraction with the same denominator of 15 to make it easier to add to -326/15. To do that, multiply 80 by 15/15, which is the equivalent of 1, to get the fraction 1200/15.
Now, add the two fractions: 1200/15 + (-326/15) = (1200 - 326)/15 = 874/15.
This fraction can be simplified back into a mixed number by dividing the numerator by the denominator: 874 ÷ 15 = 58 with a remainder of 4, so the mixed number is 58 4/15.
Therefore, the solution to the expression 80 + (-22 4/15) is 58 4/15.
A rectangle and a triangle have the same area. If their bases are the same lengths, how do their heights compare? Justify your answer.
The triangle's height would have to be 2 times that of the rectangles. To know this, you canlook at the formulas for the Area of each shape.
Rectangle: bh
Triangle: bh/2
A triangle is just a rectangle cut in half. In order for the areas to be the same asleep as the bases, the only way it can be true is if the height were 2 times larger than the height of the rectangle.
Which value for x makes the sentence true?
8x + 4 = 20
A. x = 12
B. x = 4
C. x = 8
D. x = 2
8x+4= 20
move +4 to the other side
sign changes from +4 to -4
8x+4-4= 20-4
8x= 20-4
8x= 16
divide both sides by 8 to get x by itself
8x/8= 16/8
Cross out 8 and 8, divide by 8 and then becomes 1*1*x= x
x= 16/8
Answer: D. x = 2
In order to get the answer to this question you will have to solve the equation before you can get the answer.
[tex]8x+4=20[/tex]
[tex]-4-4[/tex]
[tex]20-4=16[/tex]
[tex]8x=16[/tex]
[tex]\div8\div8[/tex]
[tex]16\div8=2[/tex]
[tex]x=2[/tex]
Therefore your answer is option D "x = 2."
Hope this helps.
Does anyone know how its -25? Need an explanation asap!
1. A right circular cylinder has a height of 5 in. and a base area of 20 in2. What is the volume of the cylinder? Use π = 3.14.
2. A cylinder has a base area of 20.7 in2 and the volume is 207 in3. What is the height of the cylinder?
1. Volume of a cylinder is πr^2h
Area of the base would be πr^2
Volume would be the height x the area of the base:
Volume = 5 x 20 = 100 cubic in.
2. Divide the volume by the area:
207 / 20.7 = 10
The height is 10 inches.
Answer:
1. V = 100 in³2. h = 10 inStep-by-step explanation:
The formula of a volume of a cylinder:
[tex]V=Bh[/tex]
B - base area
h - height
1. We have
h = 5in, B = 20 in².
Substitute:
[tex]V=(5)(20)=100\ in^3[/tex]
2. We have
B = 20.7 in², V = 207 in³.
Substitute:
[tex]207=20.7h[/tex] divide both sides by 20.7
[tex]\dfrac{207}{20.7}=\dfrac{20.7h}{20.7}\\\\10=h\to h=10\ in[/tex]
You dont have to do the ttee diagram, how many oitcomes are there for the sandwich thanks.
There are 3 breads, 3 meats and 2 cheese.
To find the total different outcomes, multiply the 3 together:
3 x 3 x 2 = 18
There are 18 different possibilities.
Please answer this correctly
Answer:
Heather
Step-by-step explanation:
Because it says that Heather lives FARTHER away from the park than Bryant and that Eva lives CLOSER to the park than Bryant
So since Heather lives even farther away than Bryant she definitely lives farther away than Eva because she's closer than Bryant
Rewrite the radical expression as an expression with rational exponents.
fifth root of x to the power of 9
a- x to the five ninths power
b-x to the nine fifths power
c-5x9
d- 9x5
The fifth root of x can be expressed as a power of 1/5 this way:
x^(1/5).
Now raise [x^(1/5)] to the 9th power.
[x^(1/5)]^(9)
Multiply the powers to complete the problem.
x^(9/5)
Answer: Choice B.
The expression 'fifth root of x to the power of 9' can be rewritten as 'x to the 9/5 power' in terms of rational exponents, this is option b.
Explanation:The correct rewrite of the expression, 'fifth root of x to the power of 9', utilizing rational exponents instead of a radical approach, is expressed as x to the 9/5 power. When translating a radical to a rational exponent, the index of the root becomes the denominator and the power of the term inside the root becomes the numerator.
So, fifth root of x to the power of 9 translates to x to the power of 9/5, which corresponds to option b.
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Write 9.054 X 10-6 in standard form.
Answer:
0.000009054
Have a nice day!!! :-)
9.054 X 10-6 is represented by the conventional form 0.000009054.
Explain about the standard form?Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.
A linear equation has the conventional form Ax+By=C. A slope-intercept form equation (y=mx+b) must have the x and y on the same side of the equal sign and the constant on the opposite side in order to be converted to standard form.
Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 108.
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the value of (3⁰+2⁰)×5⁰ is
The resulting expression for (3⁰+2⁰)×5⁰ is 1
Before we solve the tabled algebra problem, we must understand that any value raise to the power of zero is 1.
Given the expression
(3⁰+2⁰)×5⁰
Since all the integers are raised to power of zero, hence;
3⁰ = 1
2⁰ = 1
5⁰ = 1
Substitute this values into the given expression
= (3⁰+2⁰)×5⁰
= (1+1)×1
= 1 × 1
= 1
Hence the resulting expression for (3⁰+2⁰)×5⁰ is 1
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Renaldo catches the bus at 4:00 pm to ride 3.2 miles from his house to the dentists office. he arrives at 4:30 pm, for a one hour appointment. then he will ride a bus traveling at te same rate of speed for 4.8 miles to the soccer field. will he be on time for his 6:30 pm soccer practice?
Answer:
Step-by-step explanation:
speed = distance/time
so renaldo speed = 3.2/0.5 = 6.4miles/hr (since time taken is 1/2 hr)
now after 1 hr of his appoinment i.e at 5:30pm he took bus whose speed is same as before i.e 6.4 miles/hr
now time taken to cover this 4.8 miles = 4.8/6.4 = 3/4 hr (since time = distance /speed )
3/4 hr = 3/4 * 60 = 45 minutes
so he reached at 6:15pm . so he will be on time.
Please answer this correctly
Answer:
28:26
Explanation:
Because a ratio compares things. Since there are 26 students on the floor, and 28 students on the bleachers, you would type 28:26.
I hope I was helpful :)
If a pair of shoes costs $52.50 including a 7.25% tax, what is the original cost of the item before taxes are added? No other symbols other than the number rounded to the second decimal.
Answer:
56.31
Step-by-step explanation:
A 7.25% tax is $3.81
52.50-3.81+48.69
Hope it helps!
Y=-1/7x-11 in standard form
Answer:
x+7y = -77
Step-by-step explanation:
multiply both sides by 7 to get rid of denominator
7y = -x-77
now move x term to other side
x+7y = -77
Which of the following is a rational number? square root of 15, square root of 16, square root of 17, square root of 18
Answer:
16 is a rational number 16/1.
Step-by-step explanation:
If you take the square root of 15 it will be 3.8.. but doesnt repeat, square root of 16 is 4 (perfect square) , square root of 17 is 4.123... doesnt repeat or stop, and the square root of 18 is 4.242.. but doesnt repeat or stop. A rational number can be expressed as a ratio or a fraction. 16 can be expressed as a fraction the other numbers keep going meaning never stop.
7:( 4/11 m)=56:3.2 solve.
Answer:
m=1.1
Step-by-step explanation:
Divide one side by 8, then you get 7:(4/11 m)=7: 0.4
Basically then 4/11 m=0.4
4/11 m=2/5
m=(11/4)(2/5)
m=11/10, 1 1/10, 1.1
The value of m that satisfies the proportion 7:(4/11 m) = 56:3.2 is 1.1
How to determine the solution to the expressionFrom the question, we have the following parameters that can be used in our computation:
7: (4/11m) = 56 : 3.2
Cross-multiply the proportions
7 * 3.2 = (4/11 m) * 56
Simplify both sides:
22.4 = (4/11 m) * 56
Divide both sides by 56
(4/11 m) = 22.4 / 56
Simplify the right side
(4/11 m) = 0.4
Multiply both sides by (11/4)
m = 0.4 * (11/4)
So, we have
m = 1.1
Hence, the calculated value of "m" that satisfies the proportion 7:(4/11 m) = 56:3.2 is 1.1
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At camp, there are 12
campers and 2 counselors
in each cabin. What is the
ratio of campers to total
people in the cabin?
Answer: 50
Step-by-step explanation:
50+0
WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!!!!!
The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1,−1). If pentagon PQRST is reflected over the y-axis which vertex will NOT change its coordinates?
Answer:
P(0,1)
Step-by-step explanation:
The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1,−1).
If a figure reflected across y-axis, then the relation between preimage and image is
[tex](x,y)\rightarrow (-x,y)[/tex]
If the pentagon PQRST reflected over the y-axis, then vertices of image are
[tex]P(0,1)\rightarrow P'(0,1)=P[/tex]
[tex]Q(2,2)\rightarrow Q'(-2,2)[/tex]
[tex]R(5,3)\rightarrow R'(-5,3)[/tex]
[tex]S(4,0)\rightarrow S'(-4,0)[/tex]
[tex]T(1,-1)\rightarrow T'(-1,-1)[/tex]
Therefore, only vertex P will not change its coordinates after reflection.
Change decimal into fractions
Answer: I believe is 65/99
Step-by-step explanation: my teacher once told me when it has that infinite thing you place 99 under as a fraction [ however I'm not sure but I think thats right]
Answer:
65/99
Step-by-step explanation:
65/99