Slope = (-2 - 4)/(14 - (-1)) = -6/15
Lani is making a cake in the shape of a cone. to make the cake, she uses a cone shape mold. the mold has a diameter of 10 inches and a height of 12 inches. what is the volume of the cake? use 3.14 for pi. round to the nearest tenth, if necessary. responses 125.6 in³ 125.6 in³ 314 in³ 314 in³ 942 in³ 942 in³ 1256 in³
The volume of the cake Lani is making is 314 inches³.
Volume is defined as the amount of space a figure occupies. The formula for the volume of a cone is given by:
V = πr²h/3
where V = volume
r = radius of the base of the cone
h = height of the cone
π = 3.14
If the cone shape mold has a diameter of 10 inches, then its radius is equal to half of 10 which is 5 inches.
Plug in the values to the formula and solve for the volume.
V = πr²h/3
V = (3.14)(5 inches)²(12 inches)/3
V = 314 inches³
Hence, the volume of the cake is 314 inches³.
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BOUNDS QUESTION GCSE MATHS - A race is measured to have distance of 10.6km, correct to the next0.1km. Sam runs the race in a time of 31 minutes 46seconds, correct to the nearest second.
Sam's average speed in this race is Vkm/hour.
By considering bounds, calculate the value of Vkm to a suitable degree of accuracy. You must show your work and get reasons for your answer. [5 MARKS]
The average speed of Sam's race car is equal to 20 kilometers per hour.
How to determine the average speed of a race car
In this question we find the case of a race car being displaced in a race whose length (s) is 10.6 kilometers, a distance traveled in a time (t) of 31 minutes and 46 seconds (1906 seconds). The average speed (v), in kilometers per hour, is described by the following formula that assumes an hypothetical constant speed:
v = s / t
Where:
s - Distance, in kilometers.t - Time, in hours.First, convert time into hours:
t = (31 min) · (1 hour / 60 min) + (46 s) · (1 hour / 3600 s)
t = 0.529 h
Second, calculate the average speed:
v = (10.6 km) / (0.529 h)
v = 20.038 km / h
v = 20 km / h
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A bag of 10 marbles has 4 blue, 4 green, and 2 red marbles. If a blue marble is randomly pulled and not replaced, what is the probability that the second marble randomly pulled will also be blue?
Can some one help me with this question its hard :( down below ill give brainliest
Type the correct answer in each box. Use numerals instead of words.
For linear functions v and w, v(10) = 12, and w(10) = 9.
(V+ W)(10) =
(V-W)(10) =
(VW)(10) =
Answer:
21
3
108
Step-by-step explanation:
(V+ W)(10) = 12 + 9 = 21
(V-W)(10) = 12 - 9 = 3
(VW)(10) = 12 * 9 = 108
PLEASE ANSWER ASAP!
Help please??????????????
Answer:
The answer is B. 1/8
Step-by-step explanation:
Half of the garden is planted by seeds. The quarter of that half will be equal to 1/8 for the whole garden.
I need help with this bc i dont understand it can somebody help me plzzzzz i'll give you 40 points for it!!!! And name you brainly!!!!!!!
Answer:
8.79 in
Step-by-step explanation:
23 = 150/360 × 2×3.14× r
23 = 5/12 × 6.28 x r
23 = 31.4×r / 12
31.4 r = 23×12
31.4 r = 276
r = 276/31.4
r = 8.79 in
Find the value of x.
Answer: X = 121
Step-by-step explanation:
Because 180 degrees is a flat line, you subtract 59 from 180 to get the remaining angle values
guys please help i'm stup!d
Answer:
Option B: 0.4
Step-by-step explanation:
We have 20 dots.
Such that each column represents the repetitions for each proportion.
So:
0.1 -> 3 times
0.2 -> 1 time
0.3 -> 4 times
0.4 -> 6 times
0.5 -> 3 times
0.6 -> 3 times
Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.
Remember that for a set of N values:
{x₁, x₂, ..., xₙ}
The mean is:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
In this case we have the set of 20 points described above, then the mean is:
[tex]M = \frac{3*0.1 + 1*0.2 + 4*0.3 + 6*0.4 + 3*0.5 + 3*0.6}{20} = 0.37[/tex]
Rounding to the first place after the decimal point, we get:
M = 0.4
Then the correct option is option B.
What is the slope of the line shown below?
AY
10
o
A. 2
(4,8)
B. -2
(2, 4)
C. -4
5
10
15
D. 4
10
The slope of the line is 2.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
From the line,
Coordinates are:(2, 4) and (4, 8)
Now,
(2, 4) = (a, b) and (4, 8) = (c, d)
Slope.
= (d - b) / (c - a)
= 8 - 4 / 4 - 2
= 4 / 2
= 2
Thus,
The slope of the line is 2.
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What is the probability that this year's graduation will fall on the birthday of exactly one of the 68
Seniors? What is the probability that there is more than one such Senior?
As a result, there is a 0.1863 chance, or 18.63% probability , that one of the 68 seniors who will graduate this year will graduate on their birthday.
How does probability work?fundamentals of probability A probability is a numerical representation of the likelihood or possibility of an event occurring. Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range.
Here,
The likelihood that one of the 68 seniors graduating this year will have their birthday coincide with graduation day is given here.
As a result, this issue can be modeled using a binomial probability model with a success chance of 1/365.
Given: The likelihood of exactly 1 success after 68 attempts.
=> P(x=1) = 68!/ (68-1)! * 1/365
=> 68/365
= > 0.1863
As a result, there is a 0.1863 chance, or 18.63%, that one of the 68 seniors graduating this year will have their birthday coincide with the commencement.
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\frac { 32 x ^ { 2 } } { y } + \frac { 108 y ^ { 2 } } { x } y 32x 2 + x 108y 2
Therefore , the solution of the given problem of fraction comes out to be 4((2x)³ + (3y)³) /xy.
What exactly is a fraction?To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the fraction to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the exponent or population of a complicated fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces. For instance, 12 is used to denote half of a total number or item.
Here,
Given : 32x²/y + 108y²/x
=> (32x³+ 108y³ ) /xy
=> 4(8x³ + 27y³) /xy
=> 4((2x)³ + (3y)³) /xy
Therefore , the solution of the given problem of fraction comes out to be
4((2x)³ + (3y)³) /xy.
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Jane set up a lemonade stand to sell lemonade. The total cost of making the lemonade was $1.50. She sold each cup of lemonade for $0.25. Enter an equation that can be used to find the number of cups of lemonade, x, Jane sold if her earnings were $9.75 after paying out the cost of the lemonade x=
What is the value of b? 2(b + 12) = 16
Answer:
The answers is 2b+24=16
Step-by-step explanation:
Multiply using the distributive property can I please have a brainless thank you and have a good afternoon
Answer:
B= -4
Step-by-step explanation:
2 x -4 = -8
2 x 12 = 24
24 - 8 = 16
Which number sentence is true?
What is the standard from of the equation for the line of y=1/4x+4. (Please help meeee)
The average sale price of new one-family houses in the United States for a recent year was . Find the range of values in which at least of the sale prices will lie if the standard deviation is . Round your to the nearest whole number
The price range for 75% of sales will be between $149,300 and $343,300.
What is meant by Chebyshev's Theorem?The minimum percentage of observations falling within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous probability distributions can use this theorem. Also known as Chebyshev's Inequality, Chebyshev's Theorem.
Between $149,300 and $343,300 is where 75% of transactions are priced. Only 75% of the distribution's numbers must fall within two standard deviations for Chebyshev's theorem to hold, which makes it weaker than the proportion of numbers that are within two standard deviations of the mean.
Since the standard deviation given exists 48500, 2 standard deviations will be 2 × 48500 = 97000.
The lower limit will be 246300 - 97000 and the upper limit will be 246300 + 97000.
Lower limit = 246300 - 97000 = 149300
Upper limit = 246300 + 97000 = 343300
So 75% of the sales prices will be between $149,300 and $343,300
The complete question is:
The average sale price of new one-family houses in the United States for 2003 was $246,300. Using Chebyshev's theorem, find the range of values in which at least 75% of the sale prices will lie if the standard deviation is $48,500. Hint: You should memorize that when k is 2, it is 75% and when k is 3 it is 88.89%. Please answer with whole numbers: ex. 55,232 to 65,450 with commas
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Hey I need some help,
If you were typing an 300 page essay and you finished 6 3/5 pages every hour, how long would it take you to complete a 300-page essay?
Solve for x: 3(x+6)=21. A)1 B) 5 C)9 D) 13
Answer:
[tex]\boxed {\boxed {\sf A. \ x=1}}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]3(x+6)=21[/tex]
We want to solve for x, so we must isolate the variable by performing inverse operations to both sides of the equation.
(x+6) is being multiplied by 3. The inverse of multiplication is division. Divide both sides of the equation by 3.
[tex]\frac {3(x+6)}{3}=\frac{21}{3}[/tex]
[tex](x+6)=\frac{21}{3}[/tex]
[tex](x+6)=7[/tex]
Now 6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.
[tex]x+6-6=7-6[/tex]
[tex]x=7-6[/tex]
[tex]x=1[/tex]
We can test our solution by plugging 1 in for x in the original equation.
[tex]3(x+6)=21[/tex]
[tex]3(1+6)=21[/tex]
[tex]3(7)=21\\21=21[/tex]
This checks out (21 is equal to 21) so we know our answer is x=1.
Answer:
A. X=1Step-by-step explanation:
To solve this problem, you have to use the distributive property.
Isolate the x from one side of an equation.
Distributive property:
[tex]\sf{A(B+C)=AB+AC}[/tex]
First, divide by 3 from both sides of an equation.
[tex]\dfrac{3(x+6)}{3}=\dfrac{21}{3}[/tex]
Solve.
21÷3=7
Rewrite the problem down.
x+6=7
Then, subtract by 6 from both sides.
[tex]\sf{x+6-6=7-6}[/tex]
Solve.
7-6=1
[tex]\Large\boxed{X=1}[/tex]
The solution is x=1, which is our answer.
What types of lines are coplanar and intersect at a right angle?
A. parallel
B. perpendicular
C. skew
D. transversal
Answer:
B
Step-by-step explanation:
perpendicular is right angle
Write each expression with a single exponent:
Answer:
10^1410^2710^1810^610^610^35Step-by-step explanation:
with raising an exponent to the power of another exponent all you need to do is multiply the exponents.
the base remains the same.
Suppose x is 5 and y is 7. Choose the value of the following expression: (x != 7) && (x <= y) a. false b. true c. 0 d. null Suppose that x is an int variable. Which of the following expressions always evaluates to true? a. (x > 0) || ( x <= 0) c. (x > 0) && ( x <= 0) b. (x >= 0) 11 (x == 0) d. (x > 0) && (x == 0)
1)correct option is b) true
2)Which of the following expressions always evaluates to true?
correct option is d)(x > 0) && (x == 0)
given that
An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Many authors make a distinction between an expression and a formula, with the former designating a mathematical object and the latter a claim about such objects.
x = 5 and y = 7
Choose the value of the following expression: (x != 7) && (x <= y)
a. false
b. true
c. 0
d. null
(5! = 7) && (5<=7)
5 ≠ 7
correct option is b) true
Suppose that x is an int variable.
Which of the following expressions always evaluates to true?
a. (x > 0) || ( x <= 0)
b. (x > 0) && ( x <= 0)
c. (x >= 0) 11 (x == 0)
d. (x > 0) && (x == 0)
a) x = 1,2,3.... || x =0,-1,-2,-3......
b)x = 1,2,3.... && x = 0,-1,-2,-3,.....
c) x = 0,1,2,3..... 11 x = 0
d) x = 1,2,3.... && x = 0
correct option is d)(x > 0) && (x == 0)
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i’m not sure how to find the slope of the lines
Answer:
Step-by-step explanation:Select any two random points on the graph of the line (preferably with integer coordinates).
Label them as A and B (in any order).
Calculate the "rise" from A to B. While going vertically from A to B, if we have to go
"up", then the rise is positive;
"down", then the rise is negative.
Calculate the "run" from A to B. While going horizontally from A to B, if we have to go
"right", then the run is positive;
"left", then the run is negative.
Now, use the formula: slope = rise/run.
Help me, please pleeeeeeeeeeeease
Answer:done
Step-by-step explanation:
Jill had -$100 in her bank account in March. Jill then added $75 to her account in April.
What was the change in Jill's bank account for March and April combined?
How much did she have in her account at the end of April?
ILL BRAINLIEST YOU AND GIVE YOU 10 extra points
Answer:
it's b
Step-by-step explanation:
it satifies Pythagoras theorem.
29² = 20²+21²
9) $36,500 at 2% compounded
semiannually for 2 years
A) $37,993.74 B) $37,982.05
C) $37,960.00 D) $37,974.60
Answer: I think it is B
Step-by-step explanation:
Sry if wrong pls don’t be mad
Sam made 60 gallons of paint by mixing 24
gallons of green paint with 36 gallons of blue
paint.
What part of every gallon is
from green paint?
Answer:
40% of every gallon is from green paint.
Step-by-step explanation:
Given that Sam made 60 gallons of paint by mixing 24 gallons of green paint with 36 gallons of blue paint, to determine what part of every gallon is from green paint the following calculation must be performed:
60 = 100
24 = X
24 x 100/60 = X
2,400 / 60 = X
40 = X
Therefore, 40% of every gallon is from green paint.
favorite song? i like Liquid Smooth and Freaks
Answer:
Clouds, Sweater Weather, and Bestfriend also So what.
Post Malone Radio.
Find the measure of the exterior angle with 24 degrees
(3x+6) and (2x+18)
The measure of the exterior angle of the triangle is 114 degrees.
How to find the angles of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
The measure of the exterior angle of the triangle can be found using exterior angle theorem.
Therefore, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Hence,
24 + 2x + 18 = 3x + 6
2x - 3x = 6 - 18 - 24
-x = -36
divide both sides of the equation by -1
x = 36
Hence,
exterior angle = 3x + 6 = 3(36) + 6 = 108 + 6 = 114 degrees
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