One of either the circumference or distance across is not rational. If you have a bit of string precisely 1 inch long and you make it into an idealize circle, the distance across of that circle will be an irrational value. You could try to measure it, however regardless of how precisely you measured it, it would in any case not be very sufficiently precise. So, you can never know precisely what the diameter is just by measuring.
What's more, on the off chance that you took that string and made a width with it, the circumference would be irrational and you could never have the capacity to measure the circumference precisely enough. Whatever you quantified would be close however not correct.
Tuna provides 30 calories per ounce . On a graph representing the relationship between the number of ounces of tuna a person consumes and the number of calories the tuna provides which quantity should be graphed on the x-axis
Answer:
Ounces of tuna will go on the x axis and calories on the y axis. This is because the relationship between the number of ounces a person eats and the calories he consumes then is a positive correlation (a line with a positive slope which goes from lower left to upper right) with x being the independent variable. As x increases, y increases. In other words you can ONLY change the amount of calories you consume WHEN you change the amount of ounces you eat. You can't change the number of calories independent of the number of ounces. The independent variable goes along the x axis, cuz the x variable always represents the independent variable.
Step-by-step explanation:
Which value of k would cause the system of linear equations 35x+14y=119 and 5x+2y=k to have an infinite number of solutions?
The value of k in the equation is k = 17 and the equation 5x + 2y = 17 and
5x + 14y = 119 has infinite number of solutions
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
35x + 114y = 119 be equation (1)
Let the second equation be represented as B
Now , the value of B is
5x + 2y = k
For the system of equations to have infinite number of solutions ,
equation (1) = equation (2)
So , 5x + 2y = 35x + 114y
And , 7 ( 5x + 2y ) = 35x + 114y
So , the value of k = 119/7
On simplifying the equation , we get
k = 17
Therefore , the value of k is 17
Hence , the value of k from the equation is k = 17
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Solve log 6 60 - log 6 30
A.) 2
B.) log 6 2
C.) 5
D.) log 6 30
3. Suppose e and f are real numbers where e>0 and f<0.
(a) Is -e+f positive or negative. Explain how you know.
(b) Is e-f positive or negative? Explain how you know.
(c) Is f-e positive or negative. Explain how you know.
The odds that you will pick a heart from a standard deck of 52 cards is 13:39. TRUE or FALSE
the odds of picking a heart is 13:39.
the statement is TRUE.
To determine whether the statement is true or false, we need to calculate the odds of picking a heart from a standard deck of 52 cards and compare it to the given odds of 13:39.
Step 1: Calculate the number of hearts in a standard deck.
A standard deck of 52 cards contains 13 hearts.
Step 2: Calculate the total number of cards in the deck.
A standard deck of 52 cards contains 52 cards.
Step 3: Calculate the odds of picking a heart.
The odds of picking a heart can be expressed as the ratio of the number of favorable outcomes (hearts) to the number of unfavorable outcomes (non-hearts).
Number of hearts: 13
Number of non-hearts: 52 - 13 = 39
So, the odds of picking a heart is 13:39.
Now, let's compare the calculated odds (13:39) with the given odds (13:39).
Since the calculated odds match the given odds, the statement is TRUE.
Why is sin(20) = sin(160) = -sin(200) = -sin(340)?
Answer:
see.
Step-by-step explanation:
The value of sin is the same at the same distance from the cuadrant limit of the point. For the case of 20°, we have that the sin is the same in the following case:
As 20 is positive we use the limit cuadrant at 90°. The distance of 20 to 90 is 70. So, sin(20)=sin(90+70)=sin(160).
Also we have that sin(x) is a odd function, so sin(-x)=-sin(x), so
sin(-20°)= -sin(20°)
-sin(-20°)=sin(20°)
-sin(340°)=sin(20°).
and,
sin(-160°)=-sin(160°)
-sin(-160°)=sin(160°)
-sin(200°)=sin(160°)=sin(20°).
WILL GIVE A BRAINLIEST IF UR RIGHT!! PLEASE HELP!!
The volume of a sphere is found using the formula V=4/3nr^3. The area of a circle is found using the formula A=nr^2. What is the ratio of the volume to the area?
A.
4/3r
B.
4/3r^5
C.
3/4r
D.
4/3nr
Solve for x: 3/4x+5/8=4x
a pizza delivery shop averages 21 minutes per delivery with a standard deviation of 3 minutes. what is the probability that a pizza takes less than 15 minutes to be delivered?
We have the mean, μ = 21 and the standard deviation, σ = 3
We want P(X<15)
Standardizing gives:
P(X<15) = P(Z<(15-21)/3)
P(X<15) = P(Z< -2) ⇒ When the value of the z-score is negative, we will
read the value of z<2 on the z-table then subtract the answer from 1
P(X<15) = 1 - P(Z<2)
P(X<15) = 1 - 0.9772
P(X<15) = 0.0228
the probability that pizza takes less than 15 minutes to be delivered is 0.0228
= 2.28%
Round answer as needed
A rocket is launched into the air. The projectile motion of the rocket can be modeled using h(t) = 112t –16t2, where t is the time since launch in seconds and h(t) is the height of the rocket at time t. When will the rocket be 196 feet in the air?
A.) after 2.0 seconds
B.) after 3.5 seconds
C.) after 4.5 seconds
D.) after 7.0 seconds
*The answer is B, after 3.5 seconds. If anyone wants to properly explain how this is the correct answer, I will give you brainliest.*
.
h ( t ) = 112 t - 16 t²
When the rocket is 196 feet in the air:
196 = 112 t - 16 t²
16 t² - 112 t + 196 = 0
divide everything by 4 ( just makes numbers smaller and easier to work with)
4 t² - 28 t + 49 = 0
Now factor the equation:
( 2 t - 7 )² = 0
2 t - 7 = 0
2 t = 7
t = 7 : 2
t =
3.5 s
The rocket will be 196 feet in the air after 3.5 seconds.
a rectangular school gym has a length of x+24 and a width of x-10. Which measure does (x+24)(x-10) represent?
l x w = area
(x+24)(x-10) means (x+24) *(x-10) which is to calculate the area
Answer: The measure (x+24)(x-10) represents the AREA of the rectangular school gym.
Step-by-step explanation: Given that a rectangular school gym has a length of (x+24) and a width of (x-10).
We are to find the measure that (x+24)(x-10) represent.
The expression (x+24)(x-10) is the product of the length and breadth of the given rectangular school gym.
Also, we know that
the product of the length and breadth of any rectangle is equal to the area of that rectangle.
Therefore, the measure (x+24)(x-10) represents the AREA of the rectangular school gym.
Which graph represents the function f(x) = (x – 5)2 + 3?
Given 2 events a and b, and that p(a)=0.30, p(b)=0.45, p(a u b)=0.60. find the probability p(a∩b).
A cone-shaped hat is shown:
A cone is shown with slant height 18 cm and radius 5.7 cm. The unknown height is labeled with a question mark, and the line joining the tip of the cone to the base is perpendicular to the base.
What is the approximate height of the hat?
3.51 centimeters, because height = Square root of the difference of 18 and 5.7
17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7
18.88 centimeters, because height = Square root of the sum of the squares of 18 and 5.7
4.87 centimeters, because height = Square root of the sum of 18 and 5.7
Answer:
B. 17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7.
Step-by-step explanation:
The formula of height (h) of a cone is: [tex]h=\sqrt{l^2-r^2}[/tex], where,
[tex]l[/tex] = Slant height of cone,
[tex]r[/tex] = Radius of cone.
Upon substituting slant height = 18 cm and radius = 5.7 cm, we will get,
[tex]h=\sqrt{(18)^2-(5.7)^2}[/tex]
[tex]h=\sqrt{324-32.49}[/tex]
[tex]h=\sqrt{291.51}[/tex]
[tex]h=17.0736639301586348\approx 17.07[/tex]
Therefore, the height of cone is 17.07 cm and option B is the correct choice.
Write each whole number using words.
a) 325
b) 9,542,006
A garden has 8 white roses and 11 red roses. One rose is plucked from the garden and then one more rose is plucked without replacement let the event w=plucking a white rose for the first time and event r=plucking a red rose for the second time in two or more complete sentences explain the meaning of probabilities p(r/w) and p(w/r) do they have the same value
You have $50 in your savings account.Each week you deposit $5 in your account. Write an expression that models the situation.
Mary creates a table of values for a function and plots the points. She finds that the difference in the y values is the same. What kind of function did she graph? linear quadratic square root exponential
Answer:
A
Step-by-step explanation:
Find the center and radius of a circle defined by the equation x^2+yy^2+4x-8y+13=0
True or false X=4 for both 1. 3x+10-(5+3)=14 2. 3x+10(3x-2)=60
1. In triangle ∆PQR, C is the centroid.
a. If CY = 10, find PC and PY
b. If QC = 10, find ZC and ZQ
If PX = 20, find PQ
Since C is the centroid, therefore:
Segments PZ = ZR; RY = YQ; QX = XP
A.
If CY = 10, then
PC = 2*CY = 20
PY = PC + CY = 20 + 10 = 30
Answer: PC = 20 PY = 30
B.
If QC = 10, then
ZC = QC/2 = 5
ZQ = ZC + QC = 5 + 10 = 15
Answer: ZC = 5 ZQ = 15
C.
If PX = 20
Because the median RX bisects side PQ, therefore PX = QX = 20
PQ = PX + QX = 40
Answer: PQ = 40
A realty developer sell residential lots fir 4,000 per square meter plus a processing free of 25,000. one of the lots the realty developer is seling cost 625,000.
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F + G) (2) =
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F - G) (6) =
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F G) (2) =
Answer with Step-by-step explanation:
F = {(0, 1), (2, 4), (4, 6), (6, 8)}
G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F+G)(2)=F(2)+G(2)
= 4+5
= 9
F = {(0, 1), (2, 4), (4, 6), (6, 8)}
G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F - G) (6) =F(6)-G(6)
=8-9
=-1
F = {(0, 1), (2, 4), (4, 6), (6, 8)}
G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F.G) (2) =F(2).G(2)
= 4×5
= 20
What is the length of chord AB ?
A. 5.8 ft
B. 5.5 ft
C. 6.1 ft
D. 6.25 ft
Which of the following equations has only one solution?
x2 + 4x + 4 = 0
x2 + x = 0
x2 - 1 = 0
How many liters of wine can be held in a wine barrel whose capacity is 28.0 gal? 1 gal = 4 qt = 3.7854 l?
Answer:
105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.
Step-by-step explanation:
Proportion states that the two ratios or fractions are equal.
Let x be the liters of wine can be held in a wine barrel whose capacity is 28.0 gal.
Given that:
1 gal = 3.7854 l
then
by definition of proportions;
[tex]\frac{1}{3.7854} =\frac{28}{x}[/tex]
By cross multiply we get;
[tex]x = 28 \times 3.7854 = 105.9912[/tex] liters
Therefore, 105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.
Write the interval (3,20] as an inequality and using set notation
What is the answer to this?
Line GJ is tangent to point A at point G.
What is m∠AGJ?
The following table shows the data collected from 4 random samples of 50 students from a small middle school regarding the type of television shows they prefer to watch:
Television Show Preferences
Sample News Music Movies Cartoons Total
1 2 12 6 30 50
2 3 10 5 32 50
3 5 13 7 25 50
4 6 19 8 17 50
Based on the results in the table, which type of television show is preferred by the majority of students in the samples?
News
Music
Movies
Cartoons
Television show preferred by the majority of students in the samples is Cartoon
What is majority ?Majority is More than half or just the larger part.
What is addition?The addition of two whole numbers results in the total amount or sum of those values combined
Total number of students= 50+50+50+50 =200 students
Total number of student who prefer news =2+3+5+6=16 students
Total number of student who prefer music = 12+10+13+19 = 54 students
Total number of student who prefer movies = 6+5+7+8 = 26 students
Total number of student who prefer cartoon = 30+32+25+17 = 104 students
Hence, television show preferred by the majority of student in the samples is Cartoon
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