Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.
To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.
We are given that the weight of each packet is 2 1/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.
Therefore, the weight of each packet is 15/7 pounds.
Now, divide the total weight by the weight of each packet.
We are given that the total weight of the supplies shipped out is 34 2/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.
Therefore, the total weight of the supplies is 240/7 pounds.
To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.
This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.
Therefore, Mikey shipped out 16 packets of electrical supplies.
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The table shows the age of a painting (x) in years, and its estimated dollar value (y).
A 4-column table with 6 rows. Column 1 is labeled x with entries 50, 54, 62, 65, 68, sigma-summation x = 299. Column 2 is labeled y with entries 1,200, 1,500, 2,400, 3,200, 4,100, sigma-summation y = 12,400. Column 3 is labeled x squared with entries 2,500, 2,916, 3,844, 4,225, 4,624, sigma-summation x squared = 18,109. Column 4 is labeled x y with entries 60,000, 81,000, 148,800, 208,000, 278,800, sigma-summation x y = 776,600.
Which regression equation correctly models the data?
y = 41.47x + 0.09
y = 41.47x + 1,279.93
y = 153.32x – 6,688.54
y = 153.32x – 6,325.76
Regression equation correctly models the data is: y = -43.98x + 1,279.93
To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.
Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.
The slope (m) can be calculated using the formula:
\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)
Plugging in the values from the table:
m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)
m = (776,600 - 3,708,800 / 6(18,109) - 89,401)
m = (-2,932,200 / 66,654)
m ≈ -43.98
The y-intercept (b) can be calculated using the formula:
b = (Σy - m(Σx)) / n
Plugging in the values from the table:
b = (12,400 - (-43.98)(299)) / 6
b ≈ 1,279.93
The correct regression equation that models the data is:
y = -43.98x + 1,279.93
Out of the given options, the correct regression equation is:
y = -43.98x + 1,279.93
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I don’t get this please solve it please
Answer:
g=15.04
Step-by-step explanation:
g=4.7×3.2=15.04
Answer:
g/=15.03
Step-by-step explanation:
i hope it's correct in sorry if not
I think its C but I don’t know. Can someone help me.
Answer:
c is the answer you are right good job
What is the y-intercept of the linear equation x-3y=-6?
To find the y-intercept, let x = 0.
0 - 3y = -6
-3y = -6
y = 2
The y-intercept of the equation is the point (0, 2).
Answer:
2
Step-by-step explanation:
Solve the equation for y. First subtract x from both sides then divide by -3. The result is y=1/3x+2 with the number "2" representing the y-intercept.
A passenger airplane travels at a speed of 750 miles per hour. How many hours will the 4500-mile flight take from New York to San Francisco?
Answer:
a lot of hours
Step-by-step explanation:
use your brain
use your brain
get it yourself
Answer:
\( = 750 \div 4500 = 6 \\ = 6hours\)
first divide 4500by750 you"ll get your anser
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
Use rounding and estimation to predict the approximate quotient of 285 ÷ 11.
O 20
O 30
010
015
Answer:
if we round it to nearest 10 then the answer will be 30
What is the mean? Round to the nearest tenth if needed.
Value 1 2 3 4 5
Frequency 7 1 3 2 2
Shown work is needed.
Answer: i think this is it
the answer would be 3
Step-by-step explanation:
It says something like this: Multiply each value by the frequency of that value: 1*7, 2*1, etc. I'll let you write down the rest.
Divide by the sum of the frequencies, 7 + 1
Give the value of x. Explain how you got your answer OR which theorem you used.
100+75+70+x= 360° (sum of interior angles of quadrilateral)
x= 360-245= 115°
Type the number that must be entered in the blank to create a linear equation with infinitely many solutions.
4−3x=−3x+ ___
Answer:4
Step-by-step explanation:
Which best describes the correlation of the variables shown the graph below?
A. Strong Positive
B. Weak Positive
C. Strong Negative
D. Weak Negative
Answer:
B strong Negative
Step-by-step explanation:
3 1/3 divided by 1 1/5
Answer:
25/9
Step-by-step explanation:
3 1/3 ÷ 1 1/5
3 1/3 = 10/3
1 1/5 = 6/5
10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9
So, the answer is 25/9
x^3+3y-xy' = 0
dy/dx = xy^3-xy
Answer:
dy/dx = xy^3-xy =
y = ± √2 = ± 1.4142
x = 0
y = 0
Step-by-step explanation:
Step 1 : Simplify y/d
Step 2 : See below
Step 3 : See below
Pulling out like terms
Trying to factor as a Difference of Squares
Answer:
y = ± √2 = ± 1.4142
x = 0
y = 0
Hope this helps.
There are 1 3/4 cookies. If there is 1/8 of a cookie in each bag, how many bags are there
Answer: 8
Step-by-step explanation:
Since 1 batch uses 1/8 of a bag of flour, I would use equivalent fractions to find how many 8ths are in 3/4. 3/4=?/8
4 times 2 equals 8, so I would multiply 3 by 2 also. 3/4=6/8. If 1 batch takes 1/8, then 6 batches would use 6/8 or 3/4 of a bag of flour.
Find the sum of the given integers. 7 + (-8) + 2 + (-1) =
Answer:
0
Step-by-step explanation:
7 + (-8) + 2 + (-1)
is the same as:
7 - 8 + 2 - 1
Simplify these:
-1 + 1
Solve:
0
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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Isabel will only consume chocolate bars and glasses of milk in a ratio of 3-to-1, meaning whenever she has 3 chocolate bars, she also has 1 glass of milk. 2nd attempt Isabel currently has 6 chocolate bars and 2 glasses of milk. Determine whether the bundles shown below would be equally preferred, more preferred, or less preferred than what Isabel currently has. Items (5 items) (Drag and drop into the appropriate area below) More Preferred Less Preferred Equally Preferred (9 chocolate bars, 1 glass of milk) (6 chocolate bars, 3 glasses of milk) (9 chocolate bars, 3 glasses of milk) (3 chocolate bars, 2 glasses of milk) (9 chocolate bars, 2 glasses of milk)
The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).
The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.
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6.
Karla is selling jewelry at a fair. She sells each piece of jewelry for $5. She sells 24 pieces
of jewelry in 3 hours. At that rate, how much money will she make from the jewelry sold in
7 hours
Answer:
$280
Step-by-step explanation:
Sell 24 pieces in 3 hours, so 8 pieces in 1 hour
in 7 hours 8*7 = 56 pieces, each for $5
56 piece cost 5^56 = $280
lily wants to buy a couch and loveseat. Store A has the couch for $400 and the loveseat for $200. If both items will give a 105 discount. Store B does not sell the couch but sells the loveseat for $170. and lily has a coupon for $20 off. If Lily plans to buy both the couch and the loveseat, where should she purchase the loveseat to get the better deal, and why?
For F(x)=x^2+8 and g(x)=x^2-8 , find
( f o g) (x)
(g o f) (x),
(f o g)(2)
thanks!!
The final answer is (f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.
(f o g)(x):
To find (f o g)(x), we substitute g(x) into f(x):
(f o g)(x) = f(g(x))
Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:
(f o g)(x) = f(g(x)) = f(x^2 - 8)
Now we replace x in f(x^2 - 8) with x^2 - 8:
(f o g)(x) = (x^2 - 8)^2 + 8
Simplifying further:
(f o g)(x) = x^4 - 16x^2 + 64 + 8
(f o g)(x) = x^4 - 16x^2 + 72
Therefore, (f o g)(x) = x^4 - 16x^2 + 72.
(g o f)(x):
To find (g o f)(x), we substitute f(x) into g(x):
(g o f)(x) = g(f(x))
Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:
(g o f)(x) = g(f(x)) = g(x^2 + 8)
Now we replace x in g(x^2 + 8) with x^2 + 8:
(g o f)(x) = (x^2 + 8)^2 - 8
Simplifying further:
(g o f)(x) = x^4 + 16x^2 + 64 - 8
(g o f)(x) = x^4 + 16x^2 + 56
Therefore, (g o f)(x) = x^4 + 16x^2 + 56.
(f o g)(2):
To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:
(f o g)(2) = 2^4 - 16(2)^2 + 72
(f o g)(2) = 16 - 64 + 72
(f o g)(2) = 24
Therefore, (f o g)(2) = 24.
In summary:
(f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
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hi im doing homework i hate i-ready so yea can someone answer this please?
Weight of Omar after 4 weeks is 9.4375 pounds.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
Weight of Omar at the time of birth = 8 pound 3 ounces
Weight gained by Omar in 4 weeks = 5 × 4 = 20 ounces
New weight of Omar
= (8 lb 3 ounces) + 20 ounces
= 8 lb + 23 oz
As, we know 16 ounces = 1 pound
23 ounces = 1.4375 pound
Now, total weight of Omar after 4 weeks = 8 lb + 23 oz
≈ 8 lb + (1.4375) lb
≈ 9.4375 pounds
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Find the area of a trapezoid with bases of 16 feet and 10 feet and a height of 3 feet. 39 ft2 78 ft2 240 ft2 480 ft2
Answer: 39 ft2
Step-by-step explanation:
The area of the trapezoid is 39 square feet.
To find the area of a trapezoid, you can use the formula:
Area = (1/2) × (base1 + base2) × height
Given that the bases of the trapezoid are 16 feet and 10 feet, and the height is 3 feet, we can substitute these values into the formula:
Area = (1/2) × (16 + 10) × 3
Area = (1/2) × 26 × 3
Area = (1/2) × 78
Area = 39 ft^2
Therefore, the area of the trapezoid is 39 square feet.
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Please help. Use the alternative form of definition of derivative to find the slope of the line tangent. Please show work. 100 points. Will give brainliest, when it comes up.
The slope of the line tangent to the graph of h(x) = 1/x + 3 at the point when x is -6 is -1/36.
What is the slope of the line tangent to the equation?To determine the slope of the line tangent to the graph of the given function when x = -6;
Using alternative form of the definition of derivative.
f'(a) = lim (h->0) [f(a+h) - f(a)] / h
Using this formula for the given function;
h'(a) = lim (h->0) [h(a+h) - h(a)] / h
Now, substitute a = -6 into the formula:
h'(-6) = lim (h->0) [h(-6+h) - h(-6)] / h
Next, simplify the expression by plugging in the values:
h'(-6) = lim (h->0) [1/(-6+h) + 3 - (1/-6 + 3)] / h
Simplifying further:
h'(-6) = lim (h->0) [1/(-6+h) - 1/-6] / h
Now, let's combine the fractions with a common denominator:
h'(-6) = lim (h->0) [(-6 - (-6+h))/((-6+h)(-6))] / h
Simplifying the numerator:
h'(-6) = lim (h->0) [-h / ((-6+h)(-6))] / h
Canceling out the h's:
h'(-6) = lim (h->0) [-1 / ((-6+h)(-6))]
Taking the limit as h approaches 0:
h'(-6) = -1 / ((-6)(-6))
Simplifying further:
h'(-6) = -1 / 36
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James said that he would need 25 red beads to make 75 bracelets. Is he correct? How did he get that answer?
Answer:
He is wrong.
Step-by-step explanation:
Usually a bracelet has at least 5 beads, so with 25 beads the maximum is 5 bracelet.
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Answer:
Step-by-step explanation:
Question
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?
Answer:
Step-by-step explanation:
To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.
Given the probabilities stated on the game card:
Probability of winning $10 prize = 0.2
Probability of winning $5 prize = 0.1
Probability of winning $0 prize = 0.7
To find the probability of winning any amount of money, we add these probabilities together:
0.2 + 0.1 + 0.7 = 1
The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.
Therefore, the probability of winning any amount of money in this game is 100%.
Hope this answer your question
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mark me ask Brainliest it helps a lot
PLS HELP! 10 POINTD ILL MARK BRAINLIEST
l=3w
3w(4)=48
12w=48
w=4
l=12
hope it helps
comment if u have any questions
Answer:
Length is 18; width is 6.
Step-by-step explanation:
The formula for the perimeter of a rectangle is:
\(P=2l+2w\)
We are given that the perimeter is 48 feet. We are also told that the length is 3 times the width. In other words:
\(l=3w\)
So, substitute this for l and 48 for P. Thus:
\(48=2(3w)+2w\)
Distribute:
\(48=6w+2w\)
Combine like terms:
\(48=8w\)
Divide both sides by 8:
\(w=6\)
So, the width is 6.
The length as we know is 3 times the width, so the length is 3(6) is 18.
And we are done!
can someone help me please
here is the picture i need step by step
Answer:
Can you please post the picture of the question, then I can help.
Bashir deposits money into a savings account every year. In his first year of saving money, he deposited $1,500.
Each year after that, he deposited $2,250. Write an explicit expression to represent the total amount of money, in
dollars, Bashir has deposited into his account, where n represents the number of years he has been contributing
money to the account.
For n ≥ 1, the explicit expression is
Will mark BRAINLYIST
Answer:
1500 + 2250 =
Step-by-step explanation:
Answer:
aₙ = 2250n - 750Step-by-step explanation:
This is an arithmetic progression with:
The first term a₁ = 1500Common difference d = 2250Required expression is:
aₙ = a₁ + (n - 1)daₙ = 1500 + (n - 1)2250 = 1500 + 2250n - 2250 = 2250n - 750Some factors need to be controlled to keep this test fair. name two of them….
Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.
What are the control variables?The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.
For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.
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