Answer:
13
Step-by-step explanation:
to round to nearest whole number if its .5 or above you go up 1. If it's .4 or below you go down 1.
2.414=2
8.160=8
2.621=3
add
2+8+3=13
if you just added the decimals you would get: 13.195. (This shows you have a good estimate.)
Flynn has $4 worth of quarters.
How many quarters does Flynn have?
4 quarters
16 quarters
40 quarters
80 quarters
Answer:
16 quarters
Step-by-step explanation:
4 x 4 = 16
$1 = 4 quarter
Flynn has 16 quarters.
What is Limit of 4 Superscript x Baseline cosine (pi x) as x approaches negative 2?
–16
–8
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 8 EndFraction
Answer: Choice C
The fraction 1/16
In other words the "StartFraction 1 Over 16 EndFraction"
=============================================================
Work Shown:
[tex]\displaystyle L = \lim_{x \to -2}4^x\cos(\pi x)\\\\\\L = 4^{-2}\cos(\pi (-2))\\\\\\L = \frac{1}{4^2}\cos(-2\pi)\\\\\\L = \frac{1}{16}\cos(2\pi)\\\\\\L = \frac{1}{16}(1)\\\\\\L = \frac{1}{16}\\\\\\[/tex]
The limit of the function f(x)=[tex]4^{x}[/tex]cos(πx) is 1/16 which is start fraction 1 over 16 end fraction.
What is limit of function?The limit is the extent to which the value of function exists.
How to find limit of function?The function which is given is f(x)=[tex]4^{x}[/tex]cos(πx) and we have to find the limit of f(x).
L.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}cos([/tex]πx)
Put x=-2-h
[tex]\lim_{h \to \0} 4^{-2-h}cos([/tex]π(-2-h)
put h=0
=[tex]4^{-2} cos(2[/tex]π)
=[tex]4^{-2}*1[/tex] {cos(2π)=1}
=1/16
R.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}[/tex] cos(πx)
Put the value of x=-2+h
=[tex]\lim_{h \to \0}4^{-2+h}[/tex] cos{π(-2+h)}
Put the value of h=0
=[tex]4^{-2}*cos(2[/tex]π)
=1/16
L.H.L=R.H.L
Hence the limit of the function [tex]4^{x}cos([/tex]πx) is 1/16.
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The flight of javelin released 6.5 feet from the ground at an initial velocity of 68 feet per second is modeled by the function h=-16^2+6.5 where h is the height of the javelin in feet after r seconds . Determine how many seconds it will take the javelin to reach the maximum height and find the maximum height. Round to the nearest hundredth if necessary
Using the vertex of the quadratic equation, it is found that a maximum height of 78.75 feet is reached after 2.13 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the height is modeled by:
h(t) = -16t² + 68t + 6.5.
The coefficients are a = -16, b = 68, c = 6.5, and the vertex will be given by:
[tex]x_v = -\frac{b}{2a} = -\frac{68}{-32} = 2.13[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a} = -\frac{68^2 - 4(-16)(6.5)}{-64} = 78.75[/tex]
A maximum height of 78.75 feet is reached after 2.13 seconds.
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Which statements are true about fractions and ratios? Select all that apply. All ratios are fractions. Some ratios are not fractions. All fractions are ratios. All ratios compare wholes and parts.
Answer: the person above is wrong
Step-by-step explanation: Some ratios are not fractions.
and All fractions are ratios
What is the least common multiple of 23, 39, and 8? Sum
does anyone know this
Answer:
7176
Step-by-step explanation:
23 is a prime factor.
3 & 13 are the prime factors of 39.
2, 2, & 2 are the prime factors of 8.
Determine the max. number of times each prime factor occurs.
Calculate: 2^3 x 3 x 13 x 23 = 7176
Answer:
7,176
Step-by-step explanation:
The LCM of these numbers is found when you multiply the three numbers together: 23*39*8 = 7,176
Hope this helps!
Generalize How do the graphs of the solutions of inequalities involving greater than (>) and greater than or equal to (2) compare?
A bag has six balls labeled a,b,c,d.e and f . One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing the letter b,e or c . If there is more than one element in the set, separate them with commas.
Answer:
Step-by-step explanation:
given that a bag contains 6 balls labelled A to F.
Given that a ball is drawn at random and its letter is recorded as outcome.
Since each ball is equally likely to be drawn the sample space for one ball drawing is
S = {A,B,C,D,E,F} and n(S) = 6
Let G be the event of choosing a lable from D to F
G = The event of choosing a label from D to F= {D,E,F} n(A) = 3
A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.
i.e. the sample space while flipping a coin is: {H,T}
The sample space while tossing a six-sided die is: {1,2,3,4,5,6}
Here it is given that:
A bag has six balls labeled: A,B,C,D,E,F
One ball will be randomly picked, and its letter will be recorded as the outcome.
This means that the sample space is given by:
Sample space={ A,B,C,D,E,F}
Now, when the event is choosing a letter from D to F.
Then the sample space is:
Sample space= {D,E,F}
Three students rotate the given figure around the origin.
Byron rotates the figure 90° clockwise.
Gaven rotates the figure 90counterclockwise.
Hollie rotates the figure 180°
Drag the result of each student's rotation into the table
Answer: It is the third to the top
Step-by-step explanation:
90's block each other out add you rotate it 180 degrees you get this.
brainliest and 50 points!
find the area of the regular polygon
A) 696
B)157.3
C) 1235.2
D) 946.4
The problem is on the screenshot
Answer:
x=1 y=4
x=2 y=7
x=3 y=10
Step-by-step explanation:
To find the answer, you have to plug in the x-value for the equation to find y.
You will then find out that every time x increases by 1, y increases by 3.
How to calculate grade in class with weighted percentages?.
Answer:
Multiply the grade on the assignment by the grade weight. In the example, 85 times 20 percent equals 17, and 100 times 80 percent equals 80.
Step-by-step explanation:
This question, please!!!
Box of candy contains 0.6 of a pound of caramels 3.6 pounds of coconut What percent the contents of the box, by weight consist of caramels?
Answer:
14.28%
Step-by-step explanation:
I'm not sure if it's right but this is how I worked it out,
the box's contents are 4.2 pounds in total,
therefore in a fraction it would be 6/42
you turn a fraction into a percentage you do the numerator divided by the denominator
6÷42=0.142857(decimal form)
now you just turn it into a percentage
14.28%
please correct me if I'm wrong
9 was the wrong answer what is the real answer to this problem
Answer:
Step-by-step explanation:
First find the volume of the Cylinder, plug in the Radius (3), and the height (14) into the formula.
V= 3 x (3 squared) 9 x 14
V of Cylinder = 378 cm^3
V of Cone use the formula given,
V = [tex]\frac{3*9*5}{3}[/tex]
V = 45 cm^3
Add them together and you get 423 cm^3
what is this pls help
Question 2 Which relationship is NOT a function?
Answer:
Top left optionStep-by-step explanation:
According to definition of the function, each input must have exactly one output.
One of the given relationships - T-shirt prices reveals two outputs.
All the rest show one-to-one relationship.
To cook fondant, sugar and water are heated to 230°F. Then the mixture
is cooled at room temperature before it is kneaded. If the cooked fondant
cools to 200°F in 15 minutes in a 68°F kitchen, how long will it take to
cool to 100°F? (Hint: Find the constant k first.)
Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.
Newton's law of coolingAccording to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.
Now;
T(t) = T(s) + (To - Ts)e^-kt
T(t) = temperature at time T
To = initial temperature
Ts = temperature of the surrounding
k = colling constant
t = time taken
200 = 68 + (230 - 68)e^-15k
200 = 68 + 162e^-15k
200 - 68/162 = e^-15k
ln(0.815) = -15k
k = ln(0.815)/-15
k = 0.014 min-1
Now;
100 = 68 + (230 - 68)e^-( 0.014t)
100 -68/162 = e^-( 0.014t)
0.198 =e^-( 0.014t)
ln(0.198) = -( 0.014t)
t = ln(0.198)/-0.014
t = 116 mins
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Ben makes orange paint by mixing red, yellow and white paint in the ratio 20 : 16 : 1.5. how much of each colour does he need to make 1.5 litres of orange paint?
Answer:
0.8L = red
0.64L = yellow
0.06L = white
Step-by-step explanation:
R : Y : W
20 : 16 : 1.5
20 + 16 + 1.5 = 37.5
1.5 ÷ 37.5 = 0.04
0.04 × 20 = 0.8L = red
0.04 × 16 = 0.64L = yellow
0.04 × 1.5 = 0.06L = white
A. >
B. <
C. =
D. none of the above
Answer:
[tex]3.14 \times 10 ^{3} < 2.6 \times 10^{3} [/tex]
Step-by-step explanation:
[tex]3.14 \times 10 ^{3} [/tex]
[tex]3140[/tex]
[tex]2.6 \times 10 ^{4} [/tex]
[tex]26000[/tex]
The radius of a circle is 12.7 ft. Find the circumference
to
the
nearest
tenth
to the nearest tenth.
Answer:
79.8
Step-by-step explanation:
Find the areas of these polygons
What is the value of x in trapezoid ABCD?
OX=15
OX-20
OX=45
OX=60
Answer:
15.
Step-by-step explanation:
1) property:
m(∠B)+m(∠D)=180°;
2) according to the property:
3x+9x=180°; ⇒ x=15°
The value of x is 15 degree in the trapezoid ABCD.
What is Quadrilateral?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles
A trapezoid is a quadrilateral with one pair of opposite sides parallel.
ABCD is a trapezoid.
We have to find the value of x in the given quadrilateral.
The sum of opposite angles of a quadrilateral is 180 degrees.
m(∠B)+m(∠D)=180°
From the figure m(∠B) is 3x and m(∠D) is 9x
3x+9x=180°
Combine the like terms
12x=180
x=15 degrees.
Hence, the value of x is 15 degree in the trapezoid ABCD.
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A bag contains an unknown number of marbles. You know that P(red) = 1 and P(green) = 1. What can you conclude about how many marbles are in the bag?
The number of marbles in the bag illustrates probability
The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble
The number of marbles in the bag?The probabilities are given as:
P(Red) = 1
P(Green) = 1
For a distribution, the sum of all probabilities must equal to 1.
This means that:
P(Red) + P(Green) = 1
So, we have:
1 + 1 = 1
This gives
2 = 1
The above equation is false because 2 does not equal to 1.
So, the conclusion about the number of marbles in the bag is that the bag can only contain one type of marble i.e. either red marbles are in the bag or blue marbles are in the bag
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The price of a machine depreciates by 10% every
year. If the machine is bought for $18000 and sold
after 3 years, what price will it fetch?
The measures of the interior angles of a quadrilateral are 2x + 10, 3x, 3x + 5, and 5x + 20. What is the measure of the largest angle?
Answer:
Step-by-step explanation:
Finding the angles of quadrilateral:
Sum of all angles of quadrilateral = 360
2x + 10 + 3x + 3x + 5 + 5x +20 =360
2x + 3x + 3x + 5x + 10 + 5 + 20 = 360
Combine like terms
13x + 35 = 360
Subtrace 35 from both sides
13x = 360 - 35
13x = 325
Divide both sides by 13
x = 325/13
x = 25
5x +20 = 5*25 +20
= 125 +20
= 145°
Measeure of largest angle : 145°
write a word phrase that means the samme as x/4
The rule for the nth term of a sequence is 5n + 16
Find the 10th term of the sequence.
Answer:
66
Step-by-step explanation:
It's given that
Tn = 5n + 16
The 10th term is
T10 = 5(10) + 16
= 66
The 10th term of the sequence is 66.
What is Sequence?In mathematics, a sequence is a list of numbers arranged in a specific order. Each number in the sequence is called a term. Sequences can be finite, meaning they have a specific number of terms, or they can be infinite, continuing indefinitely.
We have the rule: 5n + 16
Now, To find the 10th term of the sequence, we can substitute n = 10 into the given rule:
5n + 16 = 5(10) + 16 = 50 + 16 = 66
Therefore, the 10th term of the sequence is 66.
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Select the reason that best supports Statement 6 in the given proof.
Answer: D. Subtraction property of equality
Step-by-step explanation:
They are subtracting 6 from both sides of the equality.
If n is proportional to M squared and n) 27 when m=3 what is the formula for n in terms of M and what is the value of n given m=6
Answer:
n=9M, when m is 6,n=18
Step-by-step explanation:
If n is proportional to M
n=kM
27=3k
k=27/3
k=9
the formula on terms of n and M is
n= 9M
2) If m= 6,
n= 3M
n=3(6)
n=18
Answer:
n = 108
Step-by-step explanation:
given n is proportional to m² then the equation relating them is
n = km² ← k is the constant of proportion
to find k use the condition n = 27 when m = 3 , then
27 = k × 3² = 9k ( divide both sides by 9 )
3 = k
n = 3m² ← equation of proportion
when m = 6 , then
n = 3 × 6² = 3 × 36 = 108
Please help the answer options are
1 mph
1 hour per mile
2mph
2 hours per mile
Answer:
I am positve it 2mph
Step-by-step explanation:
becuase for evry hr u drive 2 miles
what is 445 fl oz into pints and why?
Answer:
27.8 nearest tenth pints
To find, divide the value by 16