Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm
What slope is parallel to m=3/4
Answer:
[tex]\large \boxed{{m= \frac{3}{4} }}[/tex]
Step-by-step explanation:
Parralel lines have the same slope.
The slope will be [tex]\frac{3}{4}[/tex]
The line with a slope m = 3/4, the slope of the line parallel to this line will also be 3/4
The slope is the measure of the steepness of a line. It is also known as the gradient of a line.
Two parallel lines are known to have equal slopes. For example;
The line y = 2x - 5 and y = 2x + 3 are parallel because they have the same slope which is 2.Therefore for the line with a slope m = 3/4, the slope of the line parallel to this line will also be 3/4
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What number needs to be eliminated to solve this equation? 3d = -81
Answer:
You must first divide 3 from both sides.
Step-by-step explanation:
Whenever you solve an equation such as this you are always trying to isolate the variable that is given. In this case we are arriving at the value of d alone.
3d = -81
d = -27
Hope this helps!
Answer:
i believe that 3 needs to be eliminated
Step-by-step explanation:
3d÷3=-81÷3
d=27
hope i helped :D
2.67 (7 repeating) as a fraction
Answer:
241/90 or 2 61/90
Step-by-step explanation:
Let's call the given number 2.67(7) = x
Then use below steps:
10x = 26.7(7)100x = 267.7(7)100x - 10x = 241 ⇒ subtract to get rid of the repeated part90x=241 ⇒ solve to get fractionx= 241/90 = 2 61/90 ⇒ answer241/90
2 61/90
Step-by-step explanation:2.67(7) =
= (2677 - 267)/900
= 2410⁽¹⁰/900
= 241/90
= 2 61/90
Rewrite 2/20 : 1/40 as a unit rate
Answer:
[tex]\frac{4}{1}[/tex]
Step-by-step explanation:
Given:
2/20 : 1/40
A). First re-write the ratio as follows;
(i) Change the ratio sign to division (÷). i.e
2/20 ÷ 1/40
(ii) Solve the expression by changing the division to multiplication(×). This also means you will need to swap the numerator and the denominator of the second term. i.e (1 / 40) becomes (40 / 1)
(2/20) × (40 / 1) = [tex]\frac{2}{20}[/tex] × [tex]\frac{40}{1}[/tex] = [tex]\frac{4}{1}[/tex]
B). Now convert the result from above to unit rate. A unit rate is a rate in which the denominator has a value of 1.
So to convert [tex]\frac{4}{1}[/tex] to unit rate, we keep simplifying until the denominator becomes 1.
And since the denominator is already 1, there is no need for further simplification.
Therefore, 2/20 : 1/40 to unit rate is [tex]\frac{4}{1}[/tex]
Answer:4/1
Step-by-step explanation:
I say this because you are supposed to divided it and the answer is 4 then you find the answer choice with a 1 as the denominator and it should say 4/1 and that is the correct answer.
whats the pattern 729, -243, 81, -27, 9
Answer:
This is the product of three nines (three factors of 9). 9 × 9 × 9 × 9 = 6561 --> This is the product of four nines (four factors of 9). It's a common mistake among educators to state that 81 is what we get by "multiplying nine by itself twice".
Step by step please: x^3+2x^2-5x-6=0
Answer:
x=-1, x=2, x=3
Step-by-step explanation:
Factor the left side of the equation.
(x+1)(x^2+x-6)
(x+1)(x-2)(x-3)
Now set everything equal to 0
x+1=0
x-2=0
x-3=0
Now solve for x
therefore, the answer is x=-1, x=2, x=3
Jose Plans to make a down payment plus monthly payments in order to buy a Harley Davidson motorcycle. At one dealership, he would pay $8,000 down and pay $250 each month. At another dealership, he would pay $10,000 down and pay $125 each month. After how many months would the payment be the same for both dealers? What will that amount be?
a) 16 month
b) $12 000
Step-by-step explanation:$8000 + 250m = $10000 + 125m
250m - 125m = $10000 - $8000
125m = $2000
m = $2000 : 125
m = 16 months
After how many months would the payment be the same for both dealers ?16 months
What will that amount be ?$8000 + $250×16 =
= $8000 + $4000
= $12000
$10000 + $125×16 =
= $10000 + $2000
= $12000
what is a short introduction of the story happy prince?
Answer:
happy prince was born and one day he died
A drive has a maximum speed of 10000 revolutions per minute. If a disc has a diameter of 12 cm what is the linear speed, in km/h, of a point 4cm from the center if the disc is spinning at a rate of 7000 revolutions per minute?
Answer:
10.8 km/hr
Step-by-step explanation:
Given that
radius of the diameter is 4 cm
Converting 4 cm to km, we have
4/100000 = 0.00004 km or 4*10^-5 km
Angular speed is given as
v = 2πr/T
Where T is, 1/n,and n is the number of revolutions
v = (2 * 3.142 * 0.00004) / (1/7000)
v = 0.00126 / 0.007
v = 0.18 km/min
This is in km/min, now we convert to km/hr as requested.
0.18 * 60 = 10.8 km/hr
Expand and simplify 5(2x-1) -2(3x+2) First person to answer gets brainliest !!
Answer:
[tex] \boxed{ \mathsf{ \bold{ \purple{ 4x - 9}}}}[/tex]Step-by-step explanation:
[tex] \mathsf{5(2x - 1) - 2(3x + 2)}[/tex]
Distribute 5 through the parentheses
[tex] \mathsf{10x - 5 - 2(3x + 2)}[/tex]
Distribute 2 through the parentheses
[tex] \mathsf{10x - 5 - 6x - 4}[/tex]
Collect like terms
[tex] \mathsf{4x - 5 - 4}[/tex]
Calculate
[tex] \mathsf{4x - 9}[/tex]
Hope I helped!
Best regards!
please help me with this
Answer:
14/18 =0.7778
Step-by-step explanation:
14/18 =0.7777.........=0.7778 rounded to the nearest thousandth
I can’t figure this out pls help 17-2p=2p+5+2p
Answer:
p=2
Step-by-step explanation:
17-2p=2p+5+2p
17-2p=4p+5
17=6p+5
12=6p
2=p
Point c d and g lie on plane x. Point e and f lie on plane y. Which statements are true
The true statements are: 3, 4 and 5
Step-by-step explanation:
search it up
Answer:
2,3,and 4
Step-by-step explanation:
A high school athlete ran the 100 meter sprint in 13.245 seconds. what is the time rounded to the nearest tenth. Award is brainliest
The value of each digit in a number is known as the place value. The time rounded to the nearest tenth is 13.2 seconds.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10Given the time to run is 13.245, now tenth means the value that is after the decimal. Since the value after the tenth is 4, therefore, the tenth value will remain the same but the numbers after that will be erased.
Hence, the time rounded to the nearest tenth is 13.2 seconds.
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Which equation represents this proportional relationship
y=3x
y=1/6x
y=6x
y=1/3x
Answer:
I think that, please check it y=3x
0.138.2 + 0.0032 correct to 1 decimal place
Answer:
Exact: 0.1414
Rounded: 0.1
Step-by-step explanation:
5{3c-[d-2(c+d)]}
PLS ANSWER WILL MARK BRAINLIEST
Answer:
25c+5d
Step-by-step explanation:
First, write out the equation as you have been given in the problem:
[tex]5(3c-[d-2(c+d)])\\[/tex]
Next, distribute the -2 to the set of parenthesis containing "c+d" and combine any like terms that you can:
[tex]5(3c-[d-2c-2d])\\5(3c-[-2c-d])[/tex]
Then, distribute the "-"to the "-2c-d" in the brackets and combine and like terms that you can:
[tex]5(3c+2c+d)\\5(5c+d)[/tex]
Finally, distribute the coefficient 5 to the terms inside the parenthesis:
[tex]25c+5d[/tex]
Therefore, 25c+5d is you simplified answer to the problem.
hii:) anyone able to help with practice 6? Thanks:)!
Answer:
The answer is
[tex]x = \frac{ {e}^{ \frac{3}{ ln(2) } } }{4} [/tex]Step-by-step explanation:
[tex] ln(2) \times ln(4x) = 3[/tex]Divide both sides of the equation by ln 2
That's
[tex] \frac{ ln(2) ln(4x) }{ ln(2) } = \frac{3}{ ln(2) } [/tex]We have
[tex] ln(4x) = \frac{3}{ ln(2) } [/tex]Covert the logarithm into exponential form using the property
[tex] ln(x) = b\: \: is \: \: \: the \: \: \: same \: \: \: as \: \: \: \:
x = {e}^{b} [/tex]Are all the same
So
[tex] ln(4x) = \frac{3}{ ln(2) } [/tex]is the same as
[tex]4x = {e}^{ \frac{3}{ ln(2) } } [/tex]Divide both sides by 4
We have the final answer as
[tex]x = \frac{ {e}^{ \frac{3}{ ln(2) } } }{4} [/tex]Hope this helps you
PLEASE I BEG FOR HELP! Find mKNL A. 247 B. 184 C. 196 D. 264
Answer:
D. 264°
Step-by-step explanation:
When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,
60° = 1/2[(18x - 6)° - (5x +17)°]
60° * 2 = (18x - 6 - 5x - 17)°
120° = (13x - 23)°
120 = 13x - 23
120 + 23 = 13x
143 = 13x
143/13 = x
11 = x
x = 11
(18x - 6)° = (18*11-6)°= (198 - 6)° = 192°
(5x +17)° = (5*11 +17)° =(55+17)° = 72°
m (arc KNL) = (18x - 6)° + (5x +17)° = 192° + 72°
m (arc KNL) = 264°
please help :) Evaluate the expression: 75+125÷25×5 A.1.6 B. 40 C. 100 D. 76
Answer:
C = 100
Step-by-step explanation:
PEMDAS
multiplication and division first from left to right so
125/25 = 5
5x5 = 25
25 + 75 = 100
Answer:
C. 100
Step-by-step explanation:
To complete this question you must use systems of equations.
First you must complete multiplication or division depending on which comes first in the left to right sequence. In this case it is 125/25 which equals 5. This now makes the equation 75+5 x 5
Next, you complete any other division or multiplication Which in this case is, 5x5. The answer to this is 25, making the new equation, 75+25 which when added together equals 100!
And that is how you use systems of equations. Hope it helps ;)
1. Which one does not belong *
O y=(x+4)(x-6)
O y=2x²-88-24
O y=x2+5x-25
O y=x®+3x?-10x-24
Answer:
I believe the answer is 2x² - 88 - 24, since it is the only one with a number in front of the x²
Step-by-step explanation:
y = x² - 2x - 24
y = 2x² - 88 - 24
y = x² + 5x - 25
y = x² + 3x - 10x - 24
[tex] \frac{ {x}^{3} }{x { }^{2} + 2x + 1} [/tex]
Hi! I need help with the problem above. I know the answer to it is x-2+((3x+2)/(x^2+2x+1)), but I need help knowing and understanding the process. I can usually divide polynomials with ease, but I have never had to divide when the divisor is larger than the dividend. Can you please show me how to solve this with long division? Also, if you still have time to help me, how would synthetic division work with this? Thank you in advance!
Since
[tex]\dfrac{x^3}{x^2+2x+1}=\dfrac{x^3}{(x+1)^2}[/tex]
we can perform synthetic division twice, first for
[tex]\dfrac{x^3}{x+1}[/tex]
then dividing the result by [tex]x+1[/tex] again.
... || 1 0 0 0
-1 || -1 1 -1
================
... || 1 -1 1 -1
This translates to
[tex]\dfrac{x^3}{x+1}=x^2-x+1-\dfrac1{x+1}[/tex]
Now divide [tex]x^2-x+1[/tex] by [tex]x+1[/tex]. (Dividing the remainder term by [tex]x+1[/tex] can wait until the end.)
... || 1 -1 1
-1 || -1 2
=============
... || 1 -2 3
or equivalently,
[tex]\dfrac{x^2-x+1}{x+1}=x-2+\dfrac3{x+1}[/tex]
Taking everything together, we have
[tex]\dfrac{x^3}{x^2+2x+1}=\dfrac{x^2-x+1}{x+1}-\dfrac1{(x+1)^2}[/tex]
[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac3{x+1}-\dfrac1{(x+1)^2}[/tex]
Combine the last two fractions:
[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac{3(x+1)-1}{(x+1)^2}[/tex]
[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac{3x+2}{(x+1)^2}[/tex]
which agrees with the solution we found in your other question.
(There's a variant of synthetic division that works with directly dividing a polynomial by another one of any degree, but it's basically just a condensed version of applying the algorithm for dividing a polynomial twice by a linear one, like we've done here.)
Solve for x in the simplest form 11=1/2(x+8)
Answer:
[tex] \boxed{\sf x = 14} [/tex]
Step-by-step explanation:
Solve for x:
[tex] \sf \implies 11 = \frac{1}{2} (x + 8)[/tex]
[tex] \sf 11 = \frac{1}{2} (x + 8) \: is \: equivalent \: to \: \frac{1}{2} (x + 8) = 11 : [/tex]
[tex] \sf \implies \frac{1}{2} (x + 8) = 11[/tex]
[tex] \sf Multiply \: both \: sides \: of \: \frac{1}{2} (x + 8) = 11 \: by \: 2 : [/tex]
[tex] \sf \implies \frac{1}{ \cancel{2}} (x + 8) \times \cancel{2 }= 11 \times 2[/tex]
[tex] \sf \implies 1(x + 8) = 11 \times 2[/tex]
11 × 2 = 22:
[tex] \sf \implies x + 8 = 22[/tex]
Subtract 8 from both sides:
[tex] \sf \implies x + (8 - 8) = 22 - 8[/tex]
8 - 8 = 0:
[tex] \sf \implies x = 22 - 8[/tex]
22 - 8 = 14:
[tex] \sf \implies x = 14[/tex]
The value of x is 4, for the equation 11 = 1/2 (x + 8).
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
11 = 1/2 (x + 8)
Simplify the equation by multiplying 2 in both the sides,
11 × 2 =2 × 1/2 × (x + 8)
22 = x + 8
Subtract 8 from both the sides,
22 - 8 = x + 8 - 8
14 = x
or x = 14
The required value of x for the given equation is 14.
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If the rectangle is 38 inches and the length is 12 how much is the width ?
Answer:
width= 3.17
Step-by-step explanation:
Divide 38 (the area) by 12 (the width)
(3x + 5) (x2 – 10x + 2 ).
Answer:
[tex]3x^{3} -25x^{2} -44x+10[/tex]
Step-by-step explanation:
Hello!
To solve this we distribute what in one parenthesis into the other
3x
3x * x^2 = 3x^3
3x * -10x = -30x^2
3x * 2 = 6x
5
5 * x^2 = 5x^2
5 * -10x = -50x
5 * 2 = 10
Now we put like terms together and simplify
3x^3 + 0 = 3x^3
-30x^2 + 5x^2 = 25x^2
6x - 50x = -44x
0 + 10 = 10
Put it all together
3x^3 + 25x^2 - 44x + 10
Hope this helps!
Answer:
3x^3 + 25x^2 - 44x +10
Step-by-step explanation:
To answer this use FOIL
First Outer Inner Last
In this problem start by distributing the 3x
3x^3-30x^2+6x
Next distribute the 5 in the second parenthesis
5x^2 - 50x + 10
Lastly, add like terms (terms that have the same variable and powers)
3x^3 - 25x^2 +6x +10
Help meeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
by the way and the answer is c for yhe reasin because the of tje by theand i thaith
1. Three times the the difference between x and five?
2. One half times a number increased by six?
Answer:
Step-by-step explanation:
1. 3(x - 5)
2. 0.5x + 6.
Answer:
1) 3(x-5)
2) 1/2x+6
Step-by-step explanation:
Three times the difference between x and five.
Three times=3* or 3(
difference between x and five= x-5
Together it will be
3(x-5)
One half times a number increased by six
One half times a number= 1/2x
increased by six= +6
Together it will be
1/2x+6
Hope this helps ;) ❤❤❤
-5-(-7)
Full work plz
Answer:
-5 - (-7) = 2Step-by-step explanation:
-5 - (-7) = -5 + 7 = (-5) + (7) = (7) + (-5) = 7 - 5 = 2
What is an equation of the line that passes through the points (6,2) and (-6, -8)?
Put your answer in fully reduced form.
Step-by-step explanation:
Hey, there!!
Let me simply clear you.
The given points are (6,2) and (-6,-8).
Remember if you are finding the equation of the line passing through point, you will get equation in slope intercept form.
If there is two point you simply use one point formula. {i.e (y-y1)= m(x-x1)} (as the slope will be given too).If you are finding the equation for two points then use double point formula for the equation. { i.e (y-y1) = (y2-y1/x2-x1) × (x-x1)}.As in your question there are two points we must use double point formula,
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
[tex]( y - 2) = \frac{ - 8 - 2}{ - 6 - 6} (x - 6)[/tex]
Simplifying them we get,
6(y-2)= 5(x-6)
6y - 12 = 5x -30
Therefore, 5x - 6y - 18 = 0 is the required equation.
Hope it helps.....
Enter the mixed number as an improper fraction. 2 3/8 =
Answer:
19/8
Step-by-step explanation:
To find the mixed number
Take the denominator times the whole number
8*2 = 16
Add the numerator
16+3 = 19
Put this over the denominator
19/8