Answer:
x=59
Step-by-step explanation:
3x+3=180
3x=177
x=59
From a cylinder of height of 24cm and base diameter 14cm, a cone having equal radius and height is hollowed out. Find the volume of the remaining solid of the cylinder.
Answer:
2463 cm^3
Step-by-step explanation:
Given that a cylinder of height of 24cm and base diameter 14cm, a cone having equal radius and height is hollowed out. Find the volume of the remaining solid of the cylinder.
Let first calculate the volume of the cylinder
V = πr^2h
Where the radius = 7 cm
V = π × 7^2 × 24
V = 3694.5 cm^3
Let's calculate the volume of a cone
V = 1/3πr^2h
V = 1/3 × π × 7^2 × 24
V = 1/3 × 3694.5
V = 1231.5 cm^3
To Find the volume of the remaining solid of the cylinder, minus the volume of a cone from the volume of a cylinder
Remaining volume V = 3694.5 - 1231.5
V = 2462.99 cm^3
V = 2463 cm^3 approximately
Write the phase as an expression. Then evaluate x=5. The sun of number x and 4, all divided by 3
A soda pop manufacturer runs a contest and places a winning bottle cap on every sixth bottle. If a person buys the soda pop, find the probability that the person will win for the first time on his third purchase.
Answer:
[tex]\dfrac{25}{216}[/tex]
Step-by-step explanation:
From the given information:
The probability (p) of winning a bottle cap = [tex]\dfrac{1}{6}[/tex]
The probability of not winning a bottle cap will be (q) = 1 - p
[tex]= 1- \dfrac{1}{6}[/tex]
[tex]= \dfrac{5}{6}[/tex]
Since we are told that the winning is placed once on every sixth bottle
Then the required probability = P( of not winning the first purchase) × P( of not winning the second purchase) × P( of winning the third purchase)
[tex]= \dfrac{5}{6} \times \dfrac{5}{6} \times \dfrac{1}{6}[/tex]
[tex]= \dfrac{25}{216}[/tex]
Out of the 482 employees at the Coca-Cola plant, 37 are taking vacation next week. What percentage of employees are NOT vacationing?
Answer:
92.32%
Step-by-step explanation:
482-37=455 (not vaationig)
445/482=0.9232
0.9232*100=92.32%
Median,mode,mean of 1,4,6,7,2,3,8,2,3,57,7,3,1
Answer:
Median: 3.5 Mode: 3, 7 Mean: 4.2
Step-by-step explanation:
hope this helps :)
Three sisters purchased treats at a bake sale. The oldest sister spent $2.70 on brownies. The middle sister spent four times as much on cookies as the older sister spent on brownies. The youngest sister spent $3.68 less on a cake than the middle sister spent on cookies. How much did each sister spend?
Answer:
the oldest sister spent 2.70$ (given)
the middle sister spent 10.80$
and the youngest sister spent 7.12$
Step-by-step explanation:
If u steal point i report
Answer: the 2 on the right
Step-by-step explanation:
During a certain24 -hour period, the temperature at time t (measured in hours from the start of the period) was T(t)=50+6t-1/3t^2
degrees. What was the average temperature during that period?
Answer:
The value of average temperature during that period=[tex]58^{\circ}[/tex]
Step-by-step explanation:
We are given that
Temperature at time t is given by
[tex]T(t)=50+6t-\frac{1}{3}t^2[/tex]
We have to find the average temperature during a certain 24-hour period.
We know that
Average value of function
[tex]f_{av}=\frac{1}{b-a}\int_{a}^{b}f(x)dx[/tex]
Using the formula
Average temperature during the period
[tex]=\frac{1}{24-0}\int_{0}^{24}(50+6t-\frac{1}{3}t^2)dt[/tex]
[tex]=\frac{1}{24}[50t+3t^2-\frac{1}{9}t^3]^{24}_{0}[/tex]
[tex]=\frac{1}{24}(50\times 24+3(24)^2-\frac{1}{9}(24)^3)[/tex]
[tex]=58^{\circ}[/tex]
Hence, the value of average temperature during that period=[tex]58^{\circ}[/tex]
find the value of X in the triangle
Two sides of the triangle are the same length, so the two angles of the long side are identical.
The three inside angles total 180, so the sum of the 2 identical angles would equal: 180-70 = 110
x is one of those angles. X = 110/2 = 55 degrees.
X = 55
Your boss sends you a text of a painting of the Yankee stadium.
The painting is 16 inches by 24 inches. If the scale factor is 2.25, what is the actual size of the painting?
Your boss also needs to know if this is an enlargement or a reduction.
(If you can,Please provide an image of how you solved the problem.And please explain thoroughly how you got your answer.)
Answer:
170.6 inches
The scale factor is an enlargement
Step-by-step explanation:
16 by 24 is the Painting by a scale factor of 2.25
A scale factor is an enlargment or reduction in a shape or quantity.
So
(16*24) is the size of the painting after Scale factor
16*24=384
Know get 384/2.25
170.666666667
170.6 inches
HELP ME IF YOU KNOW ;((
Answer:
1.5
Step-by-step explanation:
Your answer is 1.5 have a good day
Help please. Whoever does gets brainliest.
Answer:
D plz mark me brainliest
Step-by-step explanation:
Find the value of the x in the equation 4(6x-9.5)=46
Answer:
X= 3.5
Step-by-step explanation:
4(6x-9.5)=46
24x-38=46
X=3.5
Sumbody help me out with this
Answer:
the answer is c
Step-by-step explanation:
If a square has the sides of 6 cm then how far will it be from one corner of the square to the opposite corner?
Answer:
8.5 cm
Step-by-step explanation:
We know that the square has side lengths of 6cm. To calculate the distance from one corner of the square to the opposite corner, we are calculating the diagonal of the square.
Along the diagonal is where the square gets split in half into two right triangles. The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where c is the longest side of a right triangle and a and b are the other two sides.
To find the length of the square's diagonal, we essentially need to calculate c, the longest side of the triangles. We can do this by plugging 6 into the equation as a and b.
[tex]a^2+b^2=c^2\\6^2+6^2=c^2\\36+36=c^2\\72=c^2\\\sqrt{72} =c[/tex]
[tex]8.5[/tex] ≈ [tex]c[/tex]
Therefore, it will be approximately 8.5cm from one corner of the square to the opposite corner.
I hope this helps!
A drop of oil makes a circular ring in a water puddle. The radius of the oil ring expands at 1.5 cm per second. If r(t)=1.5t and a(r)=лr^2, what composition of function describes the area of the oil ring in terms of time?
Answer:
[tex]a(t) =n(0.25t^2)[/tex]
Step-by-step explanation:
Given
[tex]r(t) = 0.5t[/tex]
[tex]a(r) = nr^2[/tex]
Required
Determine the area in terms of time
From the question, we have:
[tex]r(t) = 0.5t[/tex] -> radius per time
and
[tex]a(r) = nr^2[/tex] --> area from radius
The interpretation of the question is to find the composite function: a(t)
If [tex]a(r) = nr^2[/tex], and [tex]r(t) = 0.5t[/tex], the
Substitute 0.5t for r
[tex]a(t) =n(0.5t)^2[/tex]
[tex]a(t) =n*0.25t^2[/tex]
[tex]a(t) =n(0.25t^2)[/tex]
Help, BRAINLIEST to CORRECT answer!
Potential energy is the energy of motion.
Group of answer choices
True
False
Answer:
False
Step-by-step explanation:
Energy stored in an object is potential energy but energy in motion is kinetic energy
What is the probability of the following, (for each answer, enter an exact number)
(A) an event A that is certain to occur
Answer:
Probability of certain event P(E) = 1
Step-by-step explanation:
An event or program A that is likely to occur has a probability of 1, which indicates that there will always be an event or a program.
Probability of certain event P(E) = 1
5-x=3
Work out the value of 3x^2
Answer:
12
Step-by-step explanation:
[tex]5 - x = 3 \\ \\ 5 - 3 = x \\ \\ 2 = x \\ \\ x = 2 \\ \\ 3 {x}^{2} = 3 {(2)}^{2} = 3 \times 4 = 12[/tex]
Select all polynomials that have (x – 2) as a factor.
Choose all answers that apply:
A(x) = x^3 + x^2 + 4
B(x) = x^3 – x– 6
C(x) = x^4- 3x - 10
D(x) = x^4 – 2x^3 – 2
Answer:
only b
Step-by-step explanation:
The graph of the absolute value parent function, f(x) = |x|, is stretch horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
A. g(x) = 6|x|
B. g(x) = |x + 6|
C. g(x) = |1/6x|
D. g(x) = |6x|
Answer:
Step-by-step explanation:
(C). g(x) = | [tex]\frac{1}{6}[/tex] x |
⚠️A machine used 48% of its oil. What fraction of its oil did the machine
use?⚠️
Need answer ASAP please and thank you
Answer:
12/25
Step-by-step explanation:
48/100 simplifies to 24/50. 24/50 simplififes to 12/25.
Please help I need this answer soon
Kiara buys a meal from a food truck that costs $12. There is an additional 8.5% tax added to her total. If she pays for the meal with a $20 bill, then which of the following represents the
change she is due?
1) $5.74
2) $6.02
3) $6.52
4) $6.98
Answer:
Your answer is Option 4) $6.98
Step-by-step explanation:
let's see
kiran buys a meal that costs= $12
an additional amount has been added = 8.5%
= $12+8.5%= $13.02 or $13.2
so $13.2 - $20= $6.98
hope it helps please do give me brainliest :D
Given P(A) = 0.4 and P(B) = 0.6, do the following.(a) If A and B are independent events, compute P(A and B).(b) If P(A | B) = 0.5, compute P(A and B).
Answer:
Solution in photo
Step-by-step explanation:
Answer:
a) 0.24
b) 0.3
Step-by-step explanation:
Given the following probability
P(A) = 0.4 P(B) = 0.6
a) P(A and B) =P(A)P(B) {Independent)
P(A and B) = 0.4×0.6
P(A and B) = 0.24
b) Given P(A | B) = 0.5, this is a conditional probability
If P(A | B) = P(A and B)/P(B)
Since If P(A | B) = 0.5
0.5 = P(A and B)/P(B)
P(A and B) = 0.5(P(B)
P(A and B) = 0.5(0.6)
P(A and B) = 0.3
(a) Complete the table of values for y = 1/2x + 1
Please help ❤️
Answer:
y =1, 1.5, 2, 2.5, 3
Step-by-step explanation:
Plug in the values of x into the equation for y.
For example when x is 0, plug in 0 into the equation
0.5x + 1 = y
0.5(0) + 1 = 1
So, y = 1
To find the other values of y, plug in the designated value of x into the equation.
Find the equation of the graphed line.
a. y= - 6x-7
b. y = 6x -7
c. y = - 6/7 × -6
b. y = - 7/6x - 7
pls help asap no trolls!
Answer:
HI
Step-by-step explanation:
In a triangle, the length size of each side corresponds to the size of the degree of the angle opposite it.
This means, the biggest angle would be opposite the side with the longest length, while the angle with the least degree will be opposite the side that is the smallest.
In ∆HIJ, the least angle measure is <J (54°).
Side length opposite to <J is HI.
Therefore the smallest side of ∆HIJ is HI
IF YOU HELP ILL GIVE 100 POINTS AND BRAINLIEST! PLEASE HELP!!Which expression is equivalent to 4(23)?
4(2+13)
4(20+30)
4(2+3)
4(20+3)
Answer:
4(20+3)
Step-by-step explanation:
4(2+13) = 4(15)
4(20+30) = 4(50)
4(2+3) = 4(5)
4(20+3) = 4(23)
Therefore, 4(20+3) is the answer since it's equivalent to 4(23).
Answer:
............................................4(20+3)
A door 2m*1m is fixed on a wall.The wall is 8.5 long and 2m high.Find the cost of whitewashing the wall ₹40 per square meter.
Answer:
[tex]600\ rupees[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Dimensions\ of\ the\ door=2m *1m\\Dimensions\ of\ the\ wall=8.5m*2m\\Cost\ of\ whitewashing\ of\ 1m^2=40\ rupees\\Hence,\\First\ lets\ consider\ the\ wall:\\Area\ of\ a\ rectangle= Length*Width\\Here,\\Length\ of\ the\ wall=8.5\ m\\Width\ of\ the\ wall=2\ m[As\ here\ width\ and\ height\ are\ the\ same\ thing]\\Hence,\\Area\ of\ the\ wall=8.5*2=17\ m^2[/tex]
[tex]Now,\\Lets\ consider\ the\ door:\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Length\ of\ the\ door=2m\\Width\ of\ the\ door=1\ m\\Hence,\\Area\ of\ the\ door=2*1=2m^2\\\\Now,\\The\ area\ to\ be\ whitewashed=Area\ of\ the\ wall-Area\of\ the\ door\\Hence,\\The\ area\ to\ be\ whitewashed=17-2=15\ m^2\\\\As\ we\ know\ that,\\Cost\ of\ whitewashing\ 1\ m^2\ of\ the\ wall= 40\ rupees\\Hence,\\[/tex]
[tex]Cost\ of\ whitewashing\ the\ whole\ wall=Area\ of\ the\ wall\ to\ be\\ whitewashed*Rate\ of\ whitewashing\ per\ m^2\\Hence,\\Cost\ of\ whitewashing\ the\ whole\ wall=15*40=600\ rupees[/tex]
Simplify (x - 4)(3x^2- 6x + 2).
Answer:
3x³ - 18x² + 26x - 8
Step-by-step explanation:
(x - 4)(3x²- 6x + 2) =
= x*3x² + x*(- 6x) + x*2 + (-4)*3x² + (-4)*(-6x) + (-4)*2
= 3x³ - 6x² + 2x - 12x² + 24x - 8
= 3x³ - 18x² + 26x - 8