What is the total weight of candy in a 5/6 pound bag site
We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.
What is weight?Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.
There are 16 ounces in a pound.
Thus, a 5/6 pound bag of candy weighs
5/6 × 16 = 13.3 ounces.
If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.
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You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,
determine how long it will take for the object to hit the ground below. NEAREST TENTH
You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second, 64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.
What is law of conservation of energy?Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.
Given that,
Height of the cliff, h= 55 Foot
Initial speed of the projectile, u = 85 m/s
Let, the projectile hit the ground with velocity "v"
Applying the law of conservation of energy,
mgh + 1/2 mu² = 1/2 mv²
or, m (gh + 1/2 u²) = 1/2 mv²
or, (gh + 1/2 u²) = 1/2 v²
or, 10 × 55 + (1/2 × (55)²) = 1/2 v²
or, 550 + 1512.5 = 1/2 v²
or, 2062.5 = 1/2 v²
or, 4125 = v²
or, v = 64.23 feet/second
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Use the image to answer the question below.
Which equation best represents circle A?
Answer:
A is the answer
Step-by-step explanation:
Option C is correct, (x+2)²+(y-1)²=3 equation best describe the equation of circle.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.
As we observe the circle the centre is (-2, 1)
Now let us plug in these values in the equation
(x+2)²+(y-1)²=3²
The radius of the circle is 3
Hence, option C is correct, (x+2)²+(y-1)²=3 equation best describe the equation of circle.
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I need help on this problem please?
Answer:
yes ur friend is correct
Step-by-step explanation:
because the value of x .
The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
x<3
Step-by-step explanation:
\( - 2(5 - 4x) < 6x - 4 \\ - 10 + 8x < 6x - 4 \\ 8x - 6x < - 4 + 10 \\ 2x < 6 \\ x < 3\)
Alondra is asked about her age. She answers as follows. "My age is 6 more than four times the age of my son." How old is her son if Alondra is 46 years old?
Answer:
10 years old
Step-by-step explanation:
lets break it down:
6 more means +6
four times means *4
so if her son is x years old, she is 4x+6
since we know she's 46, we know that 4x+6=46
now we just solve the equation
4x+6=46
-6 on both sides
4x=40
/4 on both sides
x=10
Select the inequality that matches the statement below:
more than 22
A. y < 22
B. y ≤ 22
C. y > 22
D. y ≥ 22
What is the solution of the system of equations graphed below?
Answer: B
Step-by-step explanation: Look at where the lines intersect
1 A parallelogram has base 7.3 mi and height 3.1 mi. What is its area? A 22.63 mi? B 1116 mi? C 26.28 mi? D 21.8 mi?
Answer:
A) 22.63
Step-by-step explanation:
Well as we all know to find the area of a parallelogram u have to multiply Base by Height = Area ; Base×Height=Area
As so: 7.3×3.1=22.63
Final answer 22.63
After examining the reciprocal identity for sect, explain why the function is undefined at
certain points.
The function is undefined for those values of x where the denominator is zero.
What informs the function to be undefined?The reciprocal identity for sine, cosine, and tangent states that:
sin(x) = 1/csc(x)
cos(x) = 1/sec(x)
tan(x) = 1/cot(x)
It is important to note that csc, sec, and cot are only defined for values of x where the denominator is not equal to zero.
For example, csc(x) is defined as 1/sin(x), so it is undefined for x = kπ where k is any integer and sin(x) = 0.
Similarly, sec(x) is defined as 1/cos(x) and is undefined for x = (k+1/2)π where k is any integer and cos(x) = 0. Finally, cot(x) is defined as 1/tan(x) and is undefined for x = kπ where k is any integer and tan(x) = 0.
Therefore, the reciprocal identity for sine, cosine, and tangent is only defined for certain input values, and it is undefined for those values of x where the denominator is zero.
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The product of a number and negative three is twenty-seven. Which of the following could represent this statement?
A. -3n + 27
B. -3(27) = n
C. -3n = 27
D. -3 = 27n
Answer:
C
Step-by-step explanation:
If that's wrong it's D
Answer:
C.
Step-by-step explanation:
If it is a product, that is a way to say that it is multiplication. Since the product is 27, the answer is 27. So what multiplied by -3 equals to 27? To write this, you have to multiply -3 by n to get 27.
HAHA. YOU GOT IT WRONG ONYEBUCHINNAJI
WHY DID YOU EVEN PUT THIS NAME??
Answer:
free points ty
what is the answer for d?
If you were to rotate ABCD 180° about the origin,
what would the coordinates of B' be?
(-1,3)
(0,0)
(-6, -5)
(-6, 2)
Answer:
both elements will be negative in rot.180°
A library subscribes to two different weekly news magazines, each of which is supposed to arrive in Wednesday's mail. In actuality, each one may arrive on Wednesday, Thursday, Friday, or Saturday. Suppose the two arrive independently of one another, and for each one P(Wed.) = 0.3, P(Thurs.) = 0.4, P(Fri.) = 0.2, and P(Sat.) = 0.1. Let Y = the number of days beyond Wednesday that it takes for both magazines to arrive (so possible Y values are 0, 1, 2, or 3).
Required:
Compute the pmf of Y.
Answer:
Step-by-step explanation:
Let the events be
W = Wednesday
T = Thursday
F = Friday
S = Saturday
The corresponding probability are
P (W) = 0.3
P (T) = 0.4
P (F) = 0.2
P (S) = 0.1
Let Y = number of days beyond wednesday that takes for both magazines to arrive
(so possible Y values are 0, 1 , 2 ,3)
The possible outcome are 4² = 16
(W,W) (W,T) (W,F) (W,S)
(T,W) (T,T) (T,F) (T,S)
(F,W) (F,T) (F,F) (F, S)
(S,W) (S,T) (S,F) (S,S)
The values associated for each of the following as follows
Y(W,W) =0, Y(W,T) =1, Y(W,F)=2, Y (W,S)=3
Y(T,W)=1, Y (T,T)=1, Y (T,F)=2, Y (T,S)=3
Y(F,W)=2, Y (F,T)=2, Y (F,F)=2, Y (F, S)=3
Y(S,W)=3, Y (S,T)=3, Y (S,F)=3, Y (S,S)=3
The probability mass function of Y is
P(Y=0)=0.3(0.3)=0.9
P(Y=1) = P[(W,T) or (T,W) or (T,T)]
= [0.3(0.4) + 0.3(0.4) + 0.4(0.4)]
=0.4
P(Y = 2) = P[(W,F) or (T,F) or (F,W) or (F,T) or (F,F)]
=0.3(0.2) + 0.4(0.2) + 0.2(0.3) + 0.2(0.4) + 0.2(0.2)]
=0.32
P(Y =3) = P[(W,S) or (T,S) or (F,S) or (S,W) or (S,T) or (S,F) or (S,S)]
= [0.3(0.1) + 0.4(0.1) + 0.2(0.1) + 0.1(0.3) + 0.1(0.4) + 0.1(0.2) + 0.1(0.1)]
= 0.19
the respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes
The standard deviation of the response time is 1.53 minutes.
What is the standard deviation of the response time?To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.
Z-score = z = (x - μ) / σ
For the lower bound of 10 minutes:
z = (10 - 13) / σ
For the upper bound of 16 minutes:
z = (16 - 13) / σ
As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.
Using z-scores, we set up equations:
(10 - 13) / σ = -1.96
(16 - 13) / σ = 1.96
Solving the first equation:
-3 / σ = -1.96
σ = -3 / -1.96
Solving the second equation:
3 / σ = 1.96
σ = 3 / 1.96
Dividing both sides by 1.96:
-3 / 1.96 = σ
1.53 = σ
Full question:
The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.
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Help please! What is Y?
Triangles!
Answer:
21
Step-by-step explanation:
Two small triangles are similar, so
y : 3 = 7 : y
y² = 21
\(y=\sqrt{21}\)
Express the sample proportion as a percent:
Out of 1150 insurance applicants, 837 have no citations on their driving record.
%
Lily has 4 cups of apples, 5-½ cups of watermelon, and cups of
grapes. She needs 2½ times of each fruit to make her fruit bowl. How
much of each fruit does she need? Do not round. Write your answer as
a whole number or as a mixed number. Use "/" as a fraction bar. Do
not label your answers.
a. Apples
b. Watermelons
c. Grapes
a. Apples: Lily needs 10 cups of apples for her fruit bowl.
b. Watermelons: Lily needs 13-3/4 cups of watermelons for her fruit bowl.
c. Grapes: The amount of grapes that Lily has is not given
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
To make her fruit bowl, Lily needs 2½ times the amount of each fruit she currently has.
a. Apples:
2½ × 4 cups = 10 cups
Therefore, Lily needs 10 cups of apples for her fruit bowl.
b. Watermelons:
2½ × 5-½ cups = (2 × 5 + 1/2) × 5/2 cups = 13-3/4 cups
Therefore, Lily needs 13-3/4 cups of watermelons for her fruit bowl.
c. Grapes:
The amount of grapes that Lily has is not given, so we cannot calculate how much she needs for her fruit bowl.
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A right triangle has an area of 36 square units. If you draw scaled copies of this traingle. What will the areas of these scaled copies be? Explain or show your reasoning
1 to 5 you most likely have to add 36 x the number but the fractions I don't know
Note: If p(a) = 0 then (x - a) is a factor of p(x)
given that f(-1), f(-2) are zeros of f(x) find the missing values of these coefficients p, q
f(x) = x³ + px² - qx - 4
After finding the values of the coefficients factor and find the solutions of x1, x2 and x3.
Answer:
Since f(-1) = 0 and f(-2) = 0, we can set up two equations:
(-1)³ + p(-1)² - q(-1) - 4 = 0
(-2)³ + p(-2)² - q(-2) - 4 = 0
Simplifying each equation, we get:
-1 + p - q - 4 = 0
-8 + 4p - 2q - 4 = 0
Simplifying further, we get:
p - q = 5
2p - q = 6
Solving for p and q, we can add the two equations together to eliminate q:
p - q + 2p - q = 5 + 6
3p - 2q = 11
Then, we can substitute the value of q from the first equation into this equation to solve for p:
3p - 2(q + 5) = 11
3p - 2q - 10 = 11
3p - 2q = 21
3p - 2(5 + p) = 21
p - 10 = 7
p = 17
Substituting this value of p into either equation for q, we get:
q = p - 5 = 12
Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:
-1 | 1 17 -12 -4
|__ -1 -16 28
1 1 12
This gives us the factorization:
f(x) = (x + 1)(x² + x + 12)
To find the solutions, we can use the quadratic formula on the quadratic factor:
x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)
x = (-1 ± sqrt(1 - 48)) / 2
x = (-1 ± sqrt(-47)) / 2
x1 = (-1 + i(sqrt(47))) / 2
x2 = (-1 - i(sqrt(47))) / 2
Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.
Step-by-step explanation:
give me thanks for more! your welcome bud!
Value of x in 4,5,x,480
Step-by-step explanation:
you need to give us also some context.
because that sequence can be anything.
but I suspect you mean
4 : 5 = x : 480
0.8 = x / 480
x = 480 × 0.8 = 384
A population of values has a normal distribution with �=189.7 and �=96.7. You intend to draw a random sample of size �=62.
Find the probability that a single randomly selected value is between 189.7 and 213.
P(189.7 < X < 213) =
Find the probability that a sample of size �=62 is randomly selected with a mean between 189.7 and 213.
P(189.7 < M < 213) =
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.
To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.
Step 1: Calculate the z-scores for the given values using the formula:
z = (x - μ) / σ
For 189.7:
z1 = (189.7 - 189.7) / 96.7 = 0
For 213:
z2 = (213 - 189.7) / 96.7 ≈ 0.2417
Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.
P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939
Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.
To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance
Step 1: Calculate the standard error of the mean (σ_m) using the formula:
σ_m = σ / sqrt(n)
σ_m = 96.7 / sqrt(62) ≈ 12.2878
Step 2: Convert the given qualities to z-scores utilizing the equation:
z = (x - μ) / σ_m
For 189.7:
z1 = (189.7 - 189.7) / 12.2878 = 0
For 213:
z2 = (213 - 189.7) / 12.2878 ≈ 1.8967
Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.
P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702
Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.
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Please help me solve this
a. The model represents exponential growth.
b. The annual percentage increase is 3%.
c. After 2390 decades the population was about 590000.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is \(y = y_₀.e^{(kt)}.\)
The formula for exponential decay is \(y = y_₀.e^{(-kt)}.\)
Given, The population P(in thousands) of Austin Texas during a recent decade is approximated by \(y = 492(1.03)^t\).
The model represents exponential growth as time can not be negative.
The annual percentage increase in the model \(y = 492(1.03)^t\) is 3%
as 1.03×100% = 103%.
The time when the population was about 590000 since the beginning of a decade is,
\(590000 = 492(1.03)^t\).
\((1.03)^t = 590000/492\).
\((1.03)^t = 1199.1869\).
\(log_{1.03}1.03^t = log_{1.03}1199.1869\).
t = 2389.84 Or 2390 decades.
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Susan is running a 5k race. The graph of distance vs. time is shown.
What interval is she running the fastest?
The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
Given data ,
Susan is running a 5k race. The graph of distance vs. time is shown
So , the slope of the first line is m₁
And , the slope of the second line is m₂
where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )
Now , slope of AB is
m₁ = ( 3/10 ) = 0.3
And , m₁ = 0.3 kilometers per minute
And , slope of BC is
m₂ = ( 4 - 3 ) / ( 20 - 10 )
m₂ = 1/10
m₂ = 0.1 kilometers per minute
Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )
Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
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Three-fourths of the yard is covered with grass and one-fourth is used as a garden. The sprinkler could only water 1/5 of the yard, so the rest died. Use the model to find out how much of the grass died.
3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.
Let's start by breaking down the information given:
- Three-fourths of the yard is covered with grass.
- One-fourth of the yard is used as a garden.
- The sprinkler could only water 1/5 of the yard.
To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.
Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.
The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.
To find the portion of the grass that died, we subtract the watered portion from the total grass area:
Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.
Simplifying, we get:
Portion of grass that died = 3/5.
Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.
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A length of an arc is 10π if the radius of the circle is 12, what is the measure ofthe arc intercepted by the sector?
We can find the measure of the arc intercepted by the sector by using the formula:
\(S=r\theta\)where r is the radius, s is the length of the arc and theta is the angle
From the question, s = 10π and r=12
substitute and solve for theta
\(10\pi=12\theta\)Divide both-side by 12
\(\theta=\frac{10\pi}{12}=\frac{5\pi}{6}\)The angle is 5π/6 rad
We can convert to degree by multiplying the answer by 180/π
That is;
\(\theta=\frac{5\pi}{6}\times\frac{180}{\pi}=150^o\)Which set shows the solution to -3* + 5 > -4?
Answer:
A.
Step-by-step explanation:
The solution to the inequality would the shaded area. The shaded area stretches from negative infinity all the way until x equals -2 (but does not include -2).
Therefore, the solution set would be:
\((-\infty,2)\)
Note that parentheses instead of brackets are used because (1), you can only approach infinity and (2), the solution set does not include 2.
Does the point (3, 28) lie on the line y = 19 +3x
Answer:
Yes
Step-by-step explanation:
put point (3,28) in the above equation
28=19+3(3)
28=28
\(\LARGE{\text{please\:refer\:to\:the\:"explanation"\:section\:of\:this\:ans}}\)
Calculations ↓
An easy way to check whether or not a point lies on a line is to plug in the x-coordinate in lieu of x and the y - coordinate in lieu of y As follows :
x - coordinate : 3
y=19+3(3)
y - coordinate : 28
28 = 19 + 9
28 = 28 \(\Large\checkmark\)
LHS = RHS
Hence the point (3, 28) does lie on the line y = 19 + 3x\(\footnotesize{\text{hope\:helpful}}\)
Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation: