Answer: Yes.
Step-by-step explanation: 3/8 and 1 1/2 of a fourth are equivalent amounts. To see why, you can use a common denominator to compare the two fractions. If we convert both fractions to eighths, then 3/8 becomes 3/8 and 1 1/2 of a fourth becomes 6/8. Since 3/8 and 6/8 are both equal to 3/4, it follows that 3/8 and 1 1/2 of a fourth are also equal.
Determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a. x-intercept is (0,8)
c. x-intercept is (-8, 0)
y-intercept is (-8, 0)
y-intercept is (0,8)
b. x-intercept is (0, -8)
d. x-intercept is (8,0)
y-intercept is (8,0)
y-intercept is (0, -8)
Answer:
y-intercept is (0,8)
c. x-intercept is (-8, 0)
Step-by-step explanation:
y=x+8
x=0
y+0=8
y=8
y=0
y=x+8
0=x+8
x=-8
how many cubic meter are there in 61 cubic centimeters?
Answer:
6.1e-5
Step-by-step explanation:
there is 1e-6 in a single cubic centimeter
Answer:
0.000061 m³
Step-by-step explanation:
1 m = 100 cm
Cube both sides of the equation above.
(1 m)³ = (100 cm)³
1 m³ = 1,000,000 cm³
61 cm³ × (1 m³)/(1,000,000 cm³) = 0.000061 m³
Tom and Jim have a total of 57 fish. Tom has 16 goldfish and 5
betta fish.
If Jim has 8 more goldfish than Tom, how many betta fish does
Jim have?
betta fish
Answer: 12
Step-by-step explanation:
Tom's fish
goldfish=16
betta fish=5
total tom's fish=21
Jim's fish
goldfish=16+8=24
21+24=45
57-45=12
so jim has 12 betta fishs
Answer:
total = 57
all together Tom has 21 fish
if Jim has 8 more that makes it 24 gold fish for himself
21+24=45 / blank betta fish for Jim
57-45= 12 betta fish
am I correct?
I need help with this?
Answer:
train a with traveling at 80 miles an hour where train be was traveling at 50 miles per hour.
Suppose that the marginal cost function of a handbag manufacturer is
C'(z)=0.046875x² − z + 100
dollars per unit at production level z (where z is measured in units of 100 handbags). Find the total cost of producing 10 additional units if 2 units
are currently being produced.
Total cost of producing the additional units:
Note: Your answer should be a dollar amount and include a dollar sign and be correct to two decimal places.
The total cost of producing the additional units is $767.50.
How to determine the total cost of producing 10 additional units?In order to determine the total cost of producing 10 additional units assuming 2 units are currently being produced, we would have to integrate the marginal cost function for this handbag manufacturer with respect to x, and over the interval [10, 2].
Based on the information provided above, the marginal cost function for this handbag manufacturer is given by this function;
C'(x) = 0.046875x² − x + 100
₂∫¹⁰C'(x)dx = ₂∫¹⁰(0.046875x² − x + 100)dx
₂∫¹⁰C'(x)dx = ₂∫¹⁰(0.046875x²)dx − ₂∫¹⁰(x)dx + ₂∫¹⁰(100)dx
₂∫¹⁰C'(x)dx = 0.046875x³/3|¹⁰₂ - x²/2|¹⁰₂ + 100x|¹⁰₂
₂∫¹⁰C'(x)dx = 0.015625(10³ - 2³) - 1/2(10² - 2²) + 100(10 - 2)
₂∫¹⁰C'(x)dx = 0.015625(1000 - 8) - 0.5(100 - 4) + 100(8)
₂∫¹⁰C'(x)dx = 0.015625(992) - 0.5(96) + 800
₂∫¹⁰C'(x)dx = 15.5 - 48 + 800
₂∫¹⁰C'(x)dx = $767.50
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Which expression is equivalent to 6/4
Just a generic answer would by 12/8 or any other multiple of the numbers. If that is a fraction than same goes as above.
please help measuring !
Sobre una embarcación de 160 kg que está en reposo con su proa apuntando a la orilla, comienza a caminar una persona de 70 kg desde la proa hacia la popa, a 0.80 m/s respecto a la embarcación. ¿Cuáles son las velocidades de la embarcación y de la persona respecto a la orilla? Desprecia la resistencia del agua al movimiento.
The velocities of the boat and the person relative to the shore are 1.337 m/s and 2.896 m/s, respectively.
How to calculate the velocityWe can use the conservation of momentum equation:
(mboat + mperson) * vboat = mperson * vperson
(160 kg + 70 kg) * vboat = 70 kg * (0.80 m/s + vperson)
230 kg * vboat = 56 kg * (0.80 m/s + vperson)
vboat = (56/230) * (0.80 m/s + vperson)
vperson = 0.80 m/s + vboat
vperson = 0.80 m/s + (56/230) * (0.80 m/s + vperson)
(174/115) * vperson = (504/115) * m/s
Dividing both sides by (174/115), we get:
vperson = 2.896 m/s
vboat = (56/230) * (0.80 m/s + vperson)
Substituting the value of vperson, we get:
vboat = 1.337 m/s
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On a 160-kg boat that is at rest with its bow pointed to the shore, a 70-kg person begins to walk from the bow to the stern at 0.80 m/s relative to the boat. What are the velocities of the boat and the person relative to the shore? Neglect the resistance of water to motion.
In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram
Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D
Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.
Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.
Therefore, the correct answer is D. parallelogram.
It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.
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6 (2x - 7) + 4 (2x + 4)
Answer: 20x-26
Step-by-step explanation: its hard to explain
Answer:
20x - 26
Step-by-step:
6(2x-7) + 4(2x+4)
12x - 42 + 8x + 16
20x - 26
Good Luck
I didn't grasp this topic too well. can someone help me?
Answer:
2 hours
Step-by-step explanation:
I'm pretty sure its 2 hrs. If she did not take any breaks, she would have made it in 2 hrs due to her taking a 2 hr break. If its not 2 hours, its 3. But I am 99% sure its 2 hrs.
A road is
4/5
of a mile long. A crew needs to repave 2/5
of the road. How long is the section that needs to be repaved?
Write your answer in simplest form.
Answer: 20/10
Step-by-step explanation:
Take (calculate) 4/5 of 2/5 mile:
4x5= 20
---- * ---- = 20/10
2x5= 10
The section that needs to be repaved is 1/2 of a mile.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now it is given that,
Length of road = 4/5 of a mile
Road needs to repave = 2/5 of the road
Thus, road needs to repave = 2/5 of 4/5
⇒ road needs to repave = (2*4)/(5*5)
⇒ road needs to repave = 10/20
or, road needs to repave = 1/2
Thus, the section that needs to be repaved is 1/2 of a mile.
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Resuelve el problema en lenguaje algebraico
De 10 animales en peligro de extinción disminuye 3
Ayuda plis
Question Completion Status:
QUESTION 1
A room is 3750 mm wide. What is the width of the room in metres?
O A. 375 m
OB.3.75 m
OC.0.375 m
OD. 37.5 m
QUESTION 2
Which of the following is true:
Answer:
hmm i think the answer is A. 375m
I just need brainliest please
Answer:
alright if you give me brianliest on this, when you answer one of my questions ill give you brainliest. brailiest for a brianliest?
Step-by-step explanation:
Answer
Catfishing, In LOl rate 0-10 Im bored
Step-by-step explanation:
A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest hundredth. Enter your answer in the box.
Answer:
Step-by-step explanation:
44
What is the missing number here in this sequence
The missing number in the sequence is 39 .
A sequence is a collection of objects where repeats are allowed and the order is important in mathematics.
It resembles a set and has members (also called elements, or terms). The series' duration is determined by the number of episodes (potentially infinite). In contrast to a set, a sequence may include the same items more than once at various points, and unlike a set, the order of the sequence is important. A sequence can be described formally as a function from natural numbers (the elements of the sequence's locations) to the items that are present in each of those positions. An indexed family, which is a function from any index set, can be considered an extension of the idea of a sequence.From the given figure we can see that the vertically opposite numbers are three times one another.
For example:
11 × 3 = 33
12 × 3 = 36
8 × 3 = 24
hence the last unknown number of the sequence will be
13 × 3 = 39
Hence the unknown number of the sequence is 39.
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The quantities x and y are proportional. Find the constant of proportionality, and write the equation relating the two variables (y = rx) HURRY PLEASE!!
X1 Y1
3 15
5 25
7 35
Natalie borrowed money from her parents to pay for a trip.
Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed.
The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks.
Number of Weeks Natalie Has Paid,
�
w
Amount Natalie Still Owes,
�
d
0
0
$
180
$180
2
2
$
162
$162
4
4
$
144
$144
6
6
$
126
$126
8
8
$
108
$108
Part A
How much does Natalie pay her parents each week?
$
per week
Part B
Write a function that shows the relationship between the amount Natalie still owes,
�
d, and the number of weeks she has paid,
�
w.
Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.
We can see that Natalie is reducing the amount she owes by $18 every two weeks.
Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.
This means that after n weeks, the amount she still owes is:
$180 - $18n
Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:
$180 - P
After two weeks, she will owe:
($180 - P) - P = $180 - 2P
After four weeks, she will owe:
($180 - 2P) - P - P = $180 - 4P
After six weeks, she will owe:
($180 - 4P) - P - P = $180 - 6P
And after eight weeks, she will owe:
($180 - 6P) - P - P = $180 - 8P
We can set up an equation using the information we have:
$180 - 8P = $108
Solving for P, we get:
P = $9
Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.
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The complete question:
Natalie borrowed money from her parents to pay for a trip. Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed. The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?
Week 0 = $180
Week 2 = $162
Weeks 4 = $144
Week 6 = $126
Week 8 = $108
What is the value of the expression 3x+9 if x=6
Answer:
27
Step-by-step explanation:
3(6)=18
18+9=27
Answer:
27
Step-by-step explanation:
You would use PEMDAS to solve this equation, P (parenthesis) E (exponates) M (multiply) D (divide) A (add) S (subtract). The way you use this is by following the steps in the order that you would spell PEMDAS, so 3x+9 would be 3•6+9. So look at the equation 3•6+9, so what would we use first? do we have parenthesis? No, Do we have exponents? No, Do we have multiplication? Yes, so multiply 3 and 6 = 18. Now the equation will look like this 18+9 = 27.
Hope this helps!
What is the rule of 80,40,20,10
Answer:
Divide by 2
Step-by-step explanation:
Answer:
The rule is 1/2
Explanation:
They are all similar numbers. Because if you simplify 80, you get 40, and if you simplify 40 you get 20, and if you simplify 20 you get 10.
(-2) (4+6)+(-2) 6 / (-2) (4-1) simplified
The simplified form of the expression is \(-32\).
To simplify the expression, we can perform the calculations written below step by step:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)
We follow the order of operations (PEMDAS/BODMAS):
Step 1: Simplify within parentheses:
\(\(4+6 = 10\)\).
Step 2: Perform multiplications and divisions from left to right:
\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).
Step 3: Evaluate the remaining additions and subtractions:
\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).
Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)
When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.
Finally, review the simplified expression to ensure accuracy and validity within the given context.
Note: The complete question is:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.
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draw angle EFG of size 42 degreees
Angle EFG is an angle with a measure of 42 degrees is drawn below.
Given that, angle EFG= 42 degrees.
Angle EFG is an angle with a measure of 42 degrees. To draw angle EFG, first draw a line segment and mark two points on the line segment. Label the two points E and F. Then, using a protractor, measure out an angle with a measure of 42 degrees from the line segment EF, starting from point E. Finally, mark the end of the angle as point G.
Therefore, angle EFG is an angle with a measure of 42 degrees is drawn below.
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pls help this is urgent
Answer:
Step-by-step explanation:
In a square, each angle is 90.
11x - 32 = 90
Add 32 to both sides
11x = 90 +32
11x = 122
x = 122/11
x = \(11\frac{1}{11}\)
-1/5 (-2 1/4) = what is it?
Answer:
9/20
Step-by-step explanation:
\(-\frac{1}{5} (-2\frac{1}{4} )\\\\-\frac{1}{5} (-\frac{9}{4} )\\\\\frac{9}{20}\)
I hope this helps
What’s the correct answer for this question?
Answer:
3724 in^3
Step-by-step explanation:
19 times 14 times 14 = 3724
Answer:
3724 inches ³
Step-by-step explanation:
Volume of cooler = whl
Where w is width, h is height and l is length
V = (19)(14)(14)
V = 3724 inches³
what is 8/3y=5/6x-2 in standard form?
Answer:
6x + 3y = 3
I hope that this helps
Answer:
5x-16y=12
Step-by-step explanation:
Ax+By=C
FIND the LCD (6)
MULITPLY BOTH SIDES BY 6
6(8/3Y)=6(5/6X-2)
A = 1 −7 −1 2 , B = 3 7 −1 0 , C = 1 0 −1 1 Find: a) BC, b) 5A − 2C, c) A + C,
Answer:
b
Step-by-step explanation:
Simplify the expression and write your answer in
scientific notation: (1.9 X 105)3
PLEASE HELP I WILL GIVE BRAINLEST!!!!!!
Below is the graph of a polynomial function with real comedic fangs. All local extreme of the function are shown in the graph.
Use the graph to answer the following questions.
(a) over which intervals is the function decreasing? Choose all that apply.
(-∞,-8) (-8,-4) (-4,0) (0,5) (-4,5) (9, ∞)
(b) At which x-values does the function have local minima? If there is more than one value seepage them with commas.
(C) what is the sign of the function’s leading coefficient?
Answers are positive, negative, not enough time
(D) which of the following is a possibility for the degree of the function? Choose all that apply
4 , 5 , 6 , 7 , 8 , 9
Part (a)
Decreasing means that as x increases, y decreases.
So the intervals are \((-8, -4), (0, 5), (9, \infty)\)
Part (b)
A local minimum is where the function changes from decreasing to increasing.
So, the local minima are at \(x=-4, 5\)
Part (c)
The function is approaching negative infinity as x approaches both positive and negative infinity, so the leading coefficient is negative
Part (d)
The degree is given by the number of roots (including multiplicity).
From the graph, we see there is a single root at x = -6, a single root at x = -1, a single root at x = 1, a single root between x=6 and x=8, and a single root at around x = 10.
Thus, there are a minimum of 5 roots for the graph (there could be more outside of the given section)
However, since the graph has the same end behavior in both directions, the degree must be even.
So, the possible answers are any even number that is at least 6