An ice cream come has the following dimensions. What is the amount of ice cream you can fit inside the cone...
Diameter: 3 inches
Height: 6 inches
Step-by-step explanation:
Volume = 42.39
What is the domain of f(x) = 9 - x^2
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
Locate the vertex of the parabola.
Tap for more steps...
(
0
,
9
)
The range of a parabola that opens down starts at its vertex
(
0
,
9
)
and extends to negative infinity.
Interval Notation:
(
−
∞
,
9
]
Set-Builder Notation:
{
y
|
y
≤
9
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
−
∞
,
9
]
,
{
y
|
y
≤
9
}
image of graph
what is the name of the shape depicted in the graph below
a. limaçon
b. rose
c. cardioid
d. lemniscate
Answer:
Limaçon
Step-by-step explanation:
In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.
The name of the shape depicted in the graph below is a. Limacon.
What are Polar Curves?Polar curves are the curves which are formed using the polar coordinate system.
The distance of the points from the origin will be varying depending on the angle from the positive X axis.
The given curves in the option Limacon, Rose, Cardioid, Lemniscate are types of polar curves.
Limacon is the curve which is also known as Pascal's snail. It is formed by following the path by a fixed point to a circle when this circle rolls another circle's of equal radius outside.
The given shape is the limacon with inner loop.
Lemniscate will always be a 8 shaped curve.
Hence the correct option is a, limacon.
Learn more about Polar Curves here :
https://brainly.com/question/27270742
#SPJ7
4.
What would be the purchase price for a $5,000, 91-day T-bill paying 3%
interest?
a. $4,925.00
b. $4,962.50
C. $5,000.00
d. $5,037.50
Answer:
B
Step-by-step explanation:
A = P(1+i/n)^t
5000 = P(1+0.03/(361.3/91)^1 361.3 ??? it worked
P = 5000/1.007556048
P = $4962.50309
the 91 day T-bill confused by financial calculator which got $4962.78 for a quarterly compound interest rate
Pablo has had his model bridge approved and is now able to start construction on it.The model is 2 feet and 3 inches tall. If the scale for the actual bridge is 1 inch = 3 feet, how tall will his cover bridge be?
Answer:
81 feet tall
Step-by-step explanation:
2*12=24
24+3=27
27*3=81
A quiz consists of 570 true or false questions. If the student guesses on each question, what is the mean number of correct answers?
Answer:
285
Step-by-step explanation:
570/2=285
true or false means theres a 1/2 possibility you guess right thats why you divide by 2
The mean number of correct answers to 570 true or false questions will be 285.
What is the expected value?In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.
The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
For the true or false, the probability of getting correct is given as,
p = 1/2
There are 570 true or false questions in a quiz. If the pupil guesses for each inquiry. Then the expected value is given as,
E = 570 x (1/2)
E = 285
The mean number of correct answers will be 285.
More about the expected value link is given below.
https://brainly.com/question/13945225
#SPJ2
How do I solve for x?
Answer:
x = 4.8
Step-by-step explanation:
Since quadrilateral JKLM and PQRS are similar toe ach other, therefore the ratio of their corresponding sides are equal.
Thus:
QP/KJ = PS/JM
Substitute
8/5 = x/3
Cross multiply
5*x = 3*8
5x = 24
x = 24/5
x = 4.8
Yvonne wants to cover the back of her smartphone with a decorative pattern. If the phone's length is 1/2 foot and width is 1/6 foot, what is the area that the decorative pattern will cover?
Answer:
1/12 square foot
Step-by-step explanation:
Area of the pattern = LEngth * Width
Given the following
Length = 1/2 foot
Width = 1/6 foot
Area of the pattern = 1/2 * 1/6
Area of the pattern =1/12 square foot
Hence the area that the decorative pattern will cover will be 1/12 square foot
Match each inequality to the number line that represents its solution. x – 99 ≤ -104 x – 51 ≤ -43 150 + x ≤ 144 75 < 69 – x
square root of 2800
Answer:
52.91 :)
Step-by-step explanation:
i’m literally over here crying bc i can’t figure this out. if i don’t turn it in before an hour i get an F. PLEASE HELP. the question is “the diameter of the semicircle below is 12 yards. find the area and perimeter” you don’t have to do both numbers just pls let me know what one you solve. you can even only do area. i just rlly need help.
Answer:
Area = 346.2yd²
Perimeter = 72.1yd
Step-by-step explanation:
AREA
Split it into three shapes: (1) the semi-circle, (2) the triangle, and (3) the rectangle. Find the area of each and then add them together for the area of the whole shape.
Area₁ = πr² = (6²)π = 36π = 113.1 yd²
Area₂ = (1/2)bh = (1/2)(11.3)(14) = 79.1 yd²
Area₃ = lw = (11)(14) = 154 yd²
154 + 79.1 + 113.1=346.2yd²
PERIMETER
The perimeter consists of the length of the curve on the semi-circle, the top , the right side, the bottom, and the slanted line.
length of the curve on the semi-circle = half the cicumference of circle with radius 6 = (2π(6))/2 = 6π = 18.8
the top = 22.3
the right side = 14
the bottom = 11
the slanted line = the hypotenuse of triangle(2) - the diameter of circle(1) = (√(11.3²+14²))-12= (√(323.69))-12=18-12=6
18.8+22.3+14+11+6=72.1yd
A small town has 2,500 residents. In a random sample of 125 residents, 2 have the flu. Predict the number of residents of the town who have the flu.
A. 400
B. 20
C. 200
D. 40
Answer:
20
Step-by-step explanation:
40 is the number of residents of the town who have the flu.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
A small town has 2,500 residents.
In a random sample of 125 residents, 2 have the flu.
i.e. in 2500 residents have flu = 2500*2/125
=5000/125
=40
Hence, 40 is the number of residents of the town who have the flu.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Use graphs and tables to find the limit and identify any vertical asymptotes of the function.
limit of 1 divided by the quantity x minus 10 squared as x approaches 10
PLEASE ASNWER ASAP WITH WORK IN A TABLE PLEASE
Answer:
Step-by-step explanation: Given is a function as 1 divided by the quantity x minus 10 squared
Mathematically translating we get
the function
Since the function become undefined at x=10 we get
vertical asymptote is
x=10
Limit x tends to 10 of f(x) will exist since both limits are equal
This is because let x tends to 0 from left.
Then we have
f(x) =
Right limit also will be +infinity
This is because the curve is symmetrical about x=10 and hence limit would be +infinity.
Solve the following triangle using either the law of sines or the law of cosines b=6 , c=12, A=48°
9514 1404 393
Answer:
(a, B, C) ≈ (9.15, 29.2°, 102.8°)
Step-by-step explanation:
The given angle lies between the given sides, so the law of sines cannot be used. The third side is ...
a² = b² +c² -2bc·cos(A) ≈ 83.6452
a ≈ √83.6452 ≈ 9.146
__
Then angle B is found from the law of sines. We want to find the smaller angle, so we can tell if the triangle is acute or obtuse.
sin(B)/b = sin(A)/a
B = arcsin(b/a·sin(A)) ≈ arcsin(0.48753)
B ≈ 29.2°
C = 180° -48° -29.2° = 102.8°
The solution to the triangle is (a, B, C) = (9.1, 29.2°, 102.8°).
5 rubber stamps cost $9.70.
Which equation would help determine the cost of 11 rubber stamps?
A: x/11 = 5/9.70
B: 11\$9.70 = x/5
C: 5/11 = x/9.70
D: 11/5 = 9.70/x
E: None of the above
791.26 x 42 please do step by step
Answer:
33232.92
Step-by-step explanation:
The equation 4(x − 2)=100 is a true equation for a particular value of x. Explain why 2(x − 2)=50 is also true for the same value of x.
Please type the answer not a link
Answer:
See below.
Step-by-step explanation:
4(x − 2)=100
Divide both sides by 2.
4/2 (x - 2) = 100/2
2(x - 2) = 50
Since the equation 2(x - 2) = 50 is obtained by dividing the both sides of the first equation by 2, and that is a legal operation because of the division property of equality, then the second equation is equivalent to the first equation and has the same solution.
Write an equation for the line that passes through (0, -9) and (3, 0).
y = 3 x + 9
y = 3 x + 3
y = 3 x - 9
y = -9 x + 3
Answer:
y = 3x - 9
Step-by-step explanation:
1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,-9) and (3,0) into the formula and simplify:
[tex]m = \frac{(0)-(-9)}{(3)-(0)} \\m = \frac{0+9}{3} \\m = 3[/tex]
So, the slope is 3.
2) Look at all the options. All the equations are in slope-intercept form since they are in a [tex]y = mx + b[/tex] format. Remember that [tex]m[/tex], or the coefficient of the x-term, is the slope. [tex]b[/tex], or the y-intercept, represents the y-intercept.
Knowing this, the answer must be [tex]y = 3x-9[/tex]. The number in place of [tex]m[/tex] is 3, which is the slope we just calculated. Also, since we know that the line passes through (0, -9), that must be the y-intercept since all points on the y-axis have an x-value of 0.
Someone please help me and explain it in simple words please and thank you.
Answer:
if you have a calculator above ti 84 you can enter integrals by pressing alpha window and selecting the integral option other than that it is not simple on paper you should look up a vid but it will take at least 15 mins to learn
alt optio. is to use wolfram alpha it works great you just input your problem
Answer the question based on the data in the two-way table.
Grades
Gender
Below Above
Average Average
Boy 14 23
Total
37
Girl
16
22
38
Total
30
45
75
Which statement is true?
O A. Aboy above average grades) = P(boy)
B.
Pabove average grades boy) = Pabove average grades)
Ос.
Pboy above average grades) # Pabove average grades)
OD. Pabove average grades| boy) = P(boy)
Answer:
d
Step-by-step explanation:
P(boy above average grades) P(above average grades) is the right answer. The correct option is C.
What is conditional probability?The likelihood that event A will occur provided that event B has already happened is known as conditional probability. It is written as "the probability of A given B" and is indicated by the symbol P(A|B).
We must employ conditional probability in order to respond to this inquiry. We are aware that there are 75 pupils in the class overall, with 37 boys and 38 girls. We also know that 22 girls and 23 boys both have GPAs above the national average.
A. Boy with above-average grades equals a boy.
This claim is untrue. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(boy with average grades). The odds of these two events are not equal.
B. Boy with above-average grades equals P with above-average grades
This claim is untrue. The chance of picking a student with above-average grades at random from the class is P(above average grades), which is (23+22)/75 = 45/75. The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(above-average grades boy). The odds of these two events are not equal.
P (boy with above-average grades) C (boy with above-average grades)
This assertion is accurate. P(boy over average grades) = 23/75 and P(above average grades) = 45/75, respectively, are already known values. The odds of these two events are not equal.
D. P(boy | grades over average) = P(boy)
This claim is untrue. The conditional probability that a student will have above average grades given that they are a boy is P(above average grades | boy), which is 23/37. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The odds of these two events are not equal.
Therefore, the correct statement is C. P(boy above average grades) ≠ P(above average grades).
To know more about conditional probability follow
https://brainly.com/question/10739997
#SPJ7
Find the surface area of the prism. 5cm 7cm 4cm
(PLEASE ANSWER FAST)
Some friends are eating crackers. The number of crackers, y, that each person gets is inversely proportional to the number of people, x, who are sharing the crackers. When 4 people share the crackers, each person gets 12 crackers. What is an inverse proportion equation that represents this situation? How many crackers will each person get if 8 people are sharing the crackers?
(PLEASE ANSWER FAST)
Answer: yx (4)(12) / 8
Step-by-step explanation:
Answer:
1. What is an inverse proportion equation that represents this situation?
y=48/k
2. How many crackers will each person get if 8 people are sharing the crackers?
6 crackers
Step-by-step explanation:
1. What is an inverse proportion equation that represents this situation?
The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.
When there are 4 people, each person gets 12 crackers:
y=k/x
12=k/4
48=k
Therefore, our equation is y=48/x
2. How many crackers will each person get if 8 people are sharing the crackers?
y=48/x, where y is the number of cracker and x is the number of people.
y=48/8
y=6
triangle PQR is similar to triangle XYZ if PQ = n + 2, QR = n - 2 and XY=n^2 - 4, what is the value of YZ, in terms of n?
Answer:
(n-2)²
Step-by-step explanation:
If triangle PQR is similar to triangle XYZ, then;
PQ/QR =XY/YZ
Given
PQ = n + 2,
QR = n - 2 and
XY=n^2 - 4,
Substitute
n+2/n-2 = n²-4/YZ
n+2/n-2 = (n+2)(n-2)/YZ
1/n-2 = n-2/YZ
Cross multiply
YZ = (n-2)(n-2)
YZ = (n-2)²
Hence the value of YZ in terms of n is (n-2)²
PLEASE I NEED THIS NOW, AND EXPLICATION
Answer:49.5
Step-by-step explanation:so if 1 inch equal to 3 yards then 7.5 will be 21.5 and 6 inchs will be 18 so if you all together you will get 49.5
Answer:
36
Step-by-step explanation The answer would be 36 because A=a2=62=36 and the math added to 36 hope this helped.
I need some help with this
Find the area of the figure.
Answer:
24
Step-by-step explanation:
Split the polygon into three triangles and a square, then find the areas of each and they add up to 24.
Answer:
let me know if it's the right answer or not:) also I learned this awhile
there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20
Answer:
1033.2 g or 1.033 kg
Step-by-step explanation:
(620/12)(20) = 1033.2 g
write down the number in a condensed form:
200 + 40 + 5 +0.3 + 0.07
Answer:
answer is 240.37
Step-by-step explanation:
i added each one together add the ends and then got 240.37 (btw I'm in 4 grace)
The condensed form of the given expression 200 + 40 + 5 +0.3 + 0.07 is 245.37.
Given expression is [tex]200 + 40 + 5 +0.3 + 0.07[/tex]
It is required to find condensed form.
What is condensed form of an expression?Condensed form is the representing the expression in the composite way.
By solving the expression
[tex]=200 + 40 + 5 +0.3 + 0.07[/tex]
[tex]=245.37[/tex]
Thus, the condensed form of the given expression is 245.37.
Learn more about the condensed problems here:
https://brainly.com/question/24536701
If y = 4x, x = 2z, and z = 3a, what is the value of y - x in terms of a?
A) -20a
B) -18a
C) 6a
D) 18a
E) 20a
With steps please
Answer:
D) 18a
Step-by-step explanation:
y - x
= 4x - x (plug y = 4x)
= 3x
= 3(2z) (plug x = 2z)
= 6z
= 6(3a) (plug z = 3a)
= 18a
simplify the expression: 1-sin^2x/secx
Answer:
cos (x)
Step-by-step explanation: