A metallic cylinder of diameter 14 cm and height 49 cm is melted and cast into cubes with side 22 7 cm. How many cubes will be formed
Answer:
22 cubes are formed.
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 14 cm
Height of the cylinder, h = 49 cm
The side of the cube, a = 7 cm
Let there are n cubes formed. So,
[tex]n=\dfrac{\text{volume of cylinder}}{\text{side of cube}^3}\\\\=\dfrac{\pi r^2 h}{a^3}\\\\=\dfrac{\dfrac{22}{7}\times (7)^2 \times 49}{(7)^3}\\\\n=22[/tex]
Hence, there are 22 cubes that are formed.
Please help quick will give brainliest!
Answer: Choice A) There must be a vertical asymptote at x = c
Explanation:
The first limit [tex]\displaystyle \lim_{x\to c^{-}}h(x) = -\infty[/tex] says that as x approaches c from the left side, the f(x) or y values approach negative infinity. So the graph goes down forever as x approaches this c value from the left side.
The limit [tex]\displaystyle \lim_{x\to c^{+}}h(x) = \infty[/tex] means that as x approaches c from the right side, the y values head off to positive infinity.
Either of these facts are enough to conclude that we have a vertical asymptote at x = c. We can think of it like an electric fence in which we can get closer to, but not actually touch it.
Use the relationship shown on this graph.
Answer:
B. y=50x
Step-by-step explanation:
We can see the y intercept is 0 because the line starts at 0.
To find the slope, we can look at the first point. It is at (1, 50).
Slope=rise/run or change in y/change in x=50/1=50.
Find the area of the similar
figure.
20cm
25cm
Area = 320cm2 Area = [?]cm2
Given:
Base of smaller figure = 20 cm
Area of smaller figure = 320 cm²
Base of the larger figure = 25 cm
To find:
The area of the larger figure.
Solution:
We know that the areas of the similar figure are proportional to the square of corresponding sides of them.
Let A be the area of the larger figure.
[tex]\dfrac{\text{Area of the larger figure}}{\text{Area of the smaller figure}}=\dfrac{(\text{Base of the larger figure})^2}{(\text{Base of the smaller figure})^2}[/tex]
[tex]\dfrac{A}{320}=\dfrac{(25)^2}{(20)^2}[/tex]
[tex]\dfrac{A}{320}=\dfrac{625}{400}[/tex]
[tex]\dfrac{A}{320}=\dfrac{25}{16}[/tex]
Multiply both sides by 320.
[tex]A=\dfrac{25}{16}\times 320[/tex]
[tex]A=500[/tex]
Therefore, the area of the larger figure is 500 cm².
The figure is made up of 2 rectangles and 2 right triangles.
What is the area of the figure?
173 units2
253 units2
277 units2
325 units2
plzzzzzz answer ASAP
Answer:
Hi how are you
Step-by-step explanation:
i thhink the answer is B if im wrong im srry
Answer:
i think it would be the first answer which is, 173 units
Factor the polynomial using the greatest common factor.
4x9 + 3x2. 2x
Answer:
You can do it maybe ask you teacher for help! thats always okay!
Step-by-step explanation:
The government estimates 840,000 for equipment, 15,000 for software, and 40,000 per month for wages when the project will take 16 months.
Answer:
the total cost is $1,495,000
Step-by-step explanation:
The computation of the total cost is shown below:
Let us assume the months be m
Now the equation would be
= Equipment + software + wages
= $840,000 + $15,000 + 40,000m
= $840,000 + $15,000 + $40,000 (16)
= $840,000 + $15,000 + $640,000
= $1,495,000
Hence, the total cost is $1,495,000
el peso de una moneda de 5 es 7.07 geamos si tienes 1000 monedas de $5, ¿cuantos pasaran en total?
Answer:
Please translate this to English so I can help you?! :)
Step-by-step explanation:
Which one is it??????
what is 15% of 80? use an equation to solve.
Answer:
1215. percent *80 =
(15.:100)*80 =
(15.*80):100 =
1200:100 = 12
Now we have: 15. percent of 80 = 12
Percentage solution with steps:
Step 1: Our output value is 80.
Step 2: We represent the unknown value with
Step 3: From step 1 above
Step 4: Similarly
Step 5: This results in a pair of simple equations:
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
Step 7: Again, the reciprocal of both sides gives
Step-by-step explanation:
Hope it is helpful....
(1.5 x 10^6) x (1.2 x 10²)
What’s the answer
Answer:
(1.5×1.2)×(10^(6+2))
(1.80×10^8)
Answer:
1.8 x 10^8 or
180000000
Step-by-step explanation:
1.5 x 1.2 = 1.8
^6 + ^ 2= 10
1.8 x 10 ^ 8
What is the value of 3n if n=2
Answer:
6
Step-by-step explanation:
3n=3(n)
ur replcing n with 2
3(2)=3x2
3x2=6
Answer:
6
Step-by-step explanation:
3n means you are multiplying 3 and n. since n = 2, the only thing you need to do is plug in 2 for n and then simplify by multiplying 3 · 2.
plug in 2 for n:
3n ⇒ 3(2)
multiply 3(2):
3(2) = 6
therefore, when n = 2, 3n = 6.
Kamila buys a notebook for $1.59 and pens for $0.29 each. She spends $5.07.
Define a variable that can be used to determine how many pens she bought.
Write an equation using the variable and solve to determine how many pens she bought.
Answer:
12 pens
Step-by-step explanation:
Let the variable that can be used to determine the number of pens that Kamila bought be represented by n.
Price of a notebook = $1.59
Price a pen = $0.29
Total amount spent = $5.07
But,
1.59 + 0.29 n = 5.07
So that,
0.29 n = 5.07 - 1.59
0.29 n = 3.48
n = [tex]\frac{3.48}{0.29}[/tex]
= 12
Therefore, Kamila bought 12 pens.
A 1,000 mL solution of acetic acid contains 26 mL of pure acetic acid. Find the percent concentration of this solution.
Given:
Total solution : 1000mL
Pure acetic acid = 26mL
To find:
The percent concentration of given solution.
Solution:
We know that,
[tex]\text{Percent concentration}=\dfrac{\text{Pure acetic acid}}{\text{Total solution}}\times 100[/tex]
Putting the given values, we get
[tex]\text{Percent concentration}=\dfrac{26}{1000}\times 100[/tex]
[tex]\text{Percent concentration}=\dfrac{26}{10}[/tex]
[tex]\text{Percent concentration}=2.6[/tex]
Therefore, the percent concentration of this solution is 2.6%.
in sandy religious, a doodlebug digs a cone shaped pit to trap other insects. A typical pit has a radius of 1 inch and depth of 2 inches approximately how much sand would a doodle bug move to create the pit?
( PLEASE HELP ASAP)
Answer:
its c
Step-by-step explanation:
i took the test and got 100
Which function is a shrink of the exponential growth function shown on the graph?
A.f(x) = 2(3)x
B.f(x) = One-half(3)x
C.f(x) = 2(one-third) Superscript x
D.f(x) = One-half (one-third) Superscript x
Answer:
B
Step-by-step explanation:according to my calculations it’s b
The solution is, Option B. f(x) = One-half(3)x.
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
here, we have,
from the given graph we get,
The function in the graph is an exponential growth function.
Therefore its equation is g(x)= 3^x
A transformation that shrinks this graph is of the form: f(x)= k* 3^x, where
0<k<1
From the given options, we must have
k=1/2
This implies that:
f(x)= 1/2 * 3^x.
Hence, The solution is, Option B. f(x) = One-half(3)x.
To learn more on exponent number click:
brainly.com/question/19467739
#SPJ6
(urgent please help me with this. Will give brainliest)
[tex] \frac{x + 1}{2} = \frac{x - 1}{1} + \frac{5}{x} [/tex]
A two digits number is 21 times the difference and 350% of the product of its digit. Find the quotient of the digit of number
choices
3/4
3/5
5/4
4/5
Answer:
4/5
Step-by-step explanation:
sine is opposite over hypotenuse,
so it's 40/50=4/5
only 10-11 please, giving brainliest!
Platter has six veggie wraps 12 turkey wraps and cost 64.50 another platter has eight veggie wraps turkey wraps and cost 56 what is the cost of a veggie wrap
Answer:
$3.25
Step-by-step explanation:
The computation of the cost of a veggie wrap is shown below:
Let us assume the veggie strap be x
And the turkey wrap be y
Now the equations are
6x + 12y = $64.50
x + 2y = $10.75
8x + 8y = $56
x + y = 7
Now
x + 2y = $10.75
x + y = $7
y = $3.75
So x = $7 - 3.75
= $3.25
please help me , I'm so confused ...
Answer:
E
Step-by-step explanation:
The fractions have the same denominator so all you have to do is add the numerator, retain the denominator, and add the whole number.
An arithmetic sequence has second term 28 and the fifth term 52. (3 marks) a. Find u1 and d. b. Find u10
Answer: See explanation
Step-by-step explanation:
Second term = a + d = 28 ....... i
Fifth term = a + 4d = 52 ......... ii
Subtract equation I from ii
3d = 24
d = 24/3 = 8
d = common difference = 8
Since a + d = 28
a + 8 = 28
a = 28 - 8 = 20
First term = a = 20
u10 = a + (n-1)d
= a + (10-1)8
= 20 + (9 × 8)
= 20 + 72
= 92
Please help me answer all three
Step-by-step explanation:
You have to give us more information, who is the character. Is it you? Someone else?
the answers are the back of the book. I know because I have the same one
One half of a watermelon is shared among 6 people what is the fraction of how much each will get?
Answer:
1/12
Step-by-step explanation:
on a standard six-sided die, what is the probability of rolling an even number?
Answer:
5
Step-by-step explanation:
Answer:
50% chance
Step-by-step explanation:
The even numbers on a die are 2, 4 and 6 compared to the odd numbers 1, 3 and 5. This is 3/6 of the numbers which is 1/2 when simplified. 1/2 is equal to 50%
How many gallons of gas would it take to drive 13,500 miles? (URGENT)
Answer:
24 gallons :)
Step-by-step explanation:
Find the value of x.
2x
fi
80
27
60
x = [?]
Enter
the answer is x=18
hope that helped^^
the output is double the input
4/5 + (-9/11) i need help please
Answer:
-1/55
Step-by-step explanation:
exact form -1/55
decimal form -0.018
plz mark as brainliest
thank you
19NBoli
Answer:
[tex]-\frac{1}{55}[/tex]
Step-by-step explanation:
Hi! Ace here.
Whenever we have a positive being added to a negative, we can just do the positive subtracted my negative.
So let's rewrite this:
[tex]\frac{4}{5} -\frac{9}{11}[/tex]
When subtracting and adding fractions, we have to make sure there is a common denominator, and if there isn't a common denominator, then we make a common denominator. The LCM, in this case, is 55, so let's convert the fractions.
[tex]\frac{4}{5} *\frac{11}{11} =\frac{44}{55}[/tex]
[tex]\frac{9}{11} * \frac {5}{5} = \frac{45}{55}[/tex]
Since [tex]\frac{11}{11}[/tex] and [tex]\frac{5}{5}[/tex] both equal 1, the fraction is the same value.
Now we subtract normally with our "new" numbers.
[tex]\frac{44}{55}- \frac{45}{55}[/tex][tex]=-\frac{1}{55}[/tex]
I hope this helped, let me know if you have any questions.