Answer:
3x -y = -4
Step-by-step explanation:
You want the equation of the line parallel to 3x-y=5 through point (0, 4).
Parallel lineThe equation for the parallel will differ only in the constant. To find the new constant, use the given point coordinates for x and y.
3x -y = 3(0) -(4) = -4
The equation of the line is ...
3x -y = -4
HURRY PLEASEEEEE!!!!!!
Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.
Answer:
24+p=t
Step-by-step explanation:
If he scored 24 points in the first half, and p in the next half, he scored a total of t points.
Help once again !!!!
Which function g(x) or f(x) has the equation y=x^2-4
Answer:
f x
Step-by-step explanation:
the equqtion's y intercept is -4 , and f (x) has that intercept
Answer:
f(x)
Step-by-step explanation:
The equation says -4 meaning that it moved down 4 spaces on the y-axis.
3+3/2x+4=4x-5/2x plz help
Answer:
\(x1 = \frac{7 - \sqrt{113} }{8} \\ x2 = \frac{7 + \sqrt{113} }{8}\)
Step-by-step explanation:
or you can write + and - in the same equation but you can write it exact what I did
an open-top bin is to be made from a 32-inch by 42-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. what size square should be cut out of each corner to get a bin with the maximum volume? enter the area of the square and do not include any units in your answer.
The size of the square that should be cut out of each corner to get a bin with maximum volume is 8 inches.
Let's assume that we cut out a square of side length x from each corner of the plastic piece. After cutting out the squares, the remaining length of the rectangle will be 32-2x inches, and the remaining width will be 42-2x inches.
The height of the bin will be x inches, since we fold up the flaps on each side.
The volume of the bin will be
V = (length) × (width) × (height)
= (32-2x) × (42-2x) × x
To find the value of x that maximizes the volume, we need to take the derivative of V with respect to x, set it equal to zero, and solve for x
dV/dx = 4x^3 - 148x^2 + 1344x
= 4x(x^2 - 37x + 336)
Setting this expression equal to zero and solving for x, we get
x = 8 inches, x = 21 inches, or x = 0 inches
However, x = 0 inches would result in no bin being formed.
To determine which value of x maximizes the volume, we need to evaluate V at each critical point
V(8) = 2688 cubic inches
V(21) = 1176 cubic inches
Therefore, the size of the square that should be cut out of each corner is 8 inches
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What is (3 x 10^3) / (12 x 10^6)
Answer:
(3 x 10^3) / (12 x 10^6) = 0.00025
Question 3
Carla packed this box with 1-centimeter cubes. What is the volume of
the box?
?
Select units
DONE
Answer:
9
Step-by-step explanation:
9
Use the inverse matrix to solve this system of equations:
An inverse matrix is drawn from the concept of reciprocity in which the product of a number and its reciprocal will sum up to one (1). Note that an identity matrix is equal to the product of a square matrix and its inverse.
What other kinds of matrixes are there?In mathematics you have the following types of matrices:
Column matrixNull MatrixSquare MatrixRow MatrixLower Triangular Matrix etc.It is to be noted that the information required to solve the equation is incomplete hence the general answer.
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Question 15 3 pts Suppose the commuting time on a particular train is uniformly distributed between 20 and 50 minutes. What is the mean commuting time? 35 minutes 50 minutes 38 minutes 40 minutes Next
The mean commuting time for the particular train, assuming a uniform distribution between 20 and 50 minutes, is 35 minutes. This means that, on average, commuters can expect their commuting time to be around 35 minutes.
To calculate the mean commuting time, we need to find the average value of the uniformly distributed commuting time between 20 and 50 minutes.
In a uniform distribution, the probability density function (PDF) is constant within the range of the distribution. Since the distribution is uniform between 20 and 50 minutes, the PDF is constant over that interval.
The mean of a uniform distribution can be calculated using the formula:
Mean = (a + b) / 2
where 'a' is the lower limit of the distribution (20 minutes) and 'b' is the upper limit (50 minutes).
Plugging in the values into the formula, we get:
Mean = (20 + 50) / 2 = 70 / 2 = 35 minutes
The calculation is straightforward because in a uniform distribution, the mean is simply the average of the minimum and maximum values of the distribution.
In this case, the commuting time is equally likely to be any value between 20 and 50 minutes. So, on average, commuters can expect a mean commuting time of 35 minutes.
It is important to note that the mean represents the average value and may not necessarily reflect the most frequently occurring commuting time. In this case, there is an equal likelihood of any time within the given range.
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can someone please help me answers these question.. its urgant
Answer:
Never second guess yourself
Step-by-step explanation:
three charged particles are at the corners of an equilateral triangle:
The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.
The force exerted on the 7.00−μC charge by the 2.00−μC charge is
F₁ = \(k_{e}\)q₁q₂/r₂ r^
= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^)]/ (0.500m)²
F₁ = (0.252i^+0.436j^)N
Similarly, the force on the 7.00μC charge by the −4.00−μC charge is
F₂ = \(k_{e}\)q₁q₃/r² r^
= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)×(cos60°i^−sin60°j^)]/(0.500m)²
F₂ =(0.503i^−0.872j^)N
Hence, the total force on the charge 7.00−μC is
F = F₁+F₂
=(0.755i^−0.436j^)N
We can also note the total force as:
F = (0.755N)i^−(0.436N)j^ = 0.872N
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--This question is incomplete; the complete question is
"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--
At an animal shelter, 12% of the cats are Siamese. If there are 75 cats at the shelter, how many are Siamese?
Which angles are supplementary to each other?
Answer:
Angle 7 and 8 (the first option)
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
Angles 7 and 8 are 180 degrees total.
7 and 8 are supplementary.
1st option
Brainliest plz if someone else answers
7 and 8 i think
Step-by-step explanation:
Regular carrots cost $0.88 per pound, and baby
carrots cost $1.48 per pound. Miko buys three
more pounds of regular carrots than baby carrots.
Miko pays $6.18 for carrots. How many pounds
of regular carrots did Miko buy?
Miko bought 4.5 pounds of regular carrots.Given that regular carrots cost $0.88 per pound, and baby carrots cost $1.48 per pound.
Miko buys three more pounds of regular carrots than baby carrots.
Miko pays $6.18 for carrots.
We are to find how many pounds of regular carrots did Miko buy.
Let us assume that Miko bought x pounds of baby carrots.
Then, the number of pounds of regular carrots bought will be (x + 3).
We know that the cost of baby carrots per pound is $1.48. So, the cost of x pounds of baby carrots is $1.48 × x.
We also know that the cost of regular carrots per pound is $0.88.
So, the cost of (x + 3) pounds of regular carrots is $0.88(x + 3).
Miko paid a total of $6.18 for carrots.
Hence, we can form the equation:
\(1.48x+ $0.88(x + 3)\)
\(= $6.18$1.48x + $0.88x + $2.64\)
\(= $6.18$2.36x\)
\(= $6.18 - $2.64\)
\(= $3.54x\)
\(= $3.54/$2.36x\)
\(= 1.5\)
Hence, Miko bought 1.5 pounds of baby carrots.
Therefore, the number of pounds of regular carrots bought will be (x + 3) = (1.5 + 3) = 4.5 pounds.
Answer: Miko bought 4.5 pounds of regular carrots.
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What is the correct answer to this problem? Please help!!!!
52. On average, 400 people a year are
struck by lightning in the United States (The Boston Globe, July 21,2008)
a. What is the probability that at most 425 people are
struck by lightning in a year? b. What is the probability that at least 375 people are struck by lightning in a year?
To solve this problem, we can use the Poisson distribution, which models the number of events that occur in a fixed period of time, given the average rate of occurrence.
a. To find the probability that at most 425 people are struck by lightning in a year, we can use the Poisson distribution with a mean of 400. The formula for the Poisson distribution is:
P(X ≤ k) = e^-λ ∑_(i=0)^k (λ^i/i!)
where X is the random variable (the number of people struck by lightning in a year), λ is the mean (400), and k is the maximum number of people we're interested in (425). Plugging in the values, we get:
P(X ≤ 425) = e^-400 ∑_(i=0)^425 (400^i/i!) = 0.8855
So the probability that at most 425 people are struck by lightning in a year is 0.8855, or about 88.55%.
b. To find the probability that at least 375 people are struck by lightning in a year, we can use the complement rule: the probability of an event happening is 1 minus the probability of the event not happening. So in this case, we want to find the probability that fewer than 375 people are struck by lightning, and subtract that from 1 to get the probability of at least 375 people being struck.
P(X ≥ 375) = 1 - P(X < 375) = 1 - e^-400 ∑_(i=0)^374 (400^i/i!) = 0.9369
So the probability that at least 375 people are struck by lightning in a year is 0.9369, or about 93.69%.
It's important to note that these probabilities are based on the assumption that the number of people struck by lightning in a year follows a Poisson distribution with a mean of 400. This may not be a perfect model, but it's a reasonable approximation based on the available data. Additionally, the chances of being struck by lightning are still relatively low - even at the high end of our estimates, only about 0.1% of the US population would be affected.
Based on the given information of 400 people being struck by lightning in the United States on average each year, we can calculate the probabilities for the scenarios you mentioned.
a. The probability that at most 425 people are struck by lightning in a year:
To calculate this, we'll need to know the distribution of people being struck by lightning, which isn't provided. However, let's assume it follows a normal distribution with a mean of 400 and some standard deviation. In this case, we would calculate the z-score for 425 people and find the corresponding probability from the z-table. Unfortunately, without the standard deviation, we cannot compute the exact probability.
b. The probability that at least 375 people are struck by lightning in a year:
Similarly, to calculate this probability, we'd need the standard deviation to find the z-score for 375 people and then find the corresponding probability from the z-table. Again, without the standard deviation, we cannot compute the exact probability.
In conclusion, without knowing the standard deviation or the distribution of people being struck by lightning, we cannot provide a precise probability for the given scenarios.
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The price of a winter coat and a 20% discount
Hey, your question is incomplete so, plz write complete question to get the required answer
Find the perimeter of the trapezoid. ROUND YOUR ANSWER TO THE
NEAREST TENTH (One number past the decimal.)
Answer:
49.41
Fine the lengths of the top, bottom, and left side first. the do bottom - top and you get 6. To get the length of the right side, do left side squared + 6 squared and you get the length of the right side squared. The answer is top + bottom + left side + square root of right side squared.
Please Help me 5 People can build a wall in one hour how long will it take 8 people Give the answer in Minutes
Answer:
if 5 people =1 hour. which is 60 minutes.
so 8people.52 minutes ...it wont take hours .since an hour is 60 min.
Answer:
\( \boxed{37.5 \: \: \: minutes}\)Step-by-step explanation:
Let's solve:
\( \mathsf {people \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: time( \: in \: minutes) }\)
\( \mathsf{5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 hour = 60 minutes}\)
\( \mathsf{8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x}\)
Here, Let 8 people take x minutes to complete the work.
Since, the number of people and their working minutes are indirect proportional. So,
Here, the ratio of people = 5 : 8
The ratio of minutes = 60 : x
So,
\( \mathsf{ \frac{5}{8} = \frac{x}{60} }\)
Apply cross product property
⇒\( \mathsf{8x = 60 \times 5}\)
Multiply the numbers
⇒\( \mathsf{8x = 300}\)
Divide both sides of the equation by 8
⇒\( \mathsf {\frac{8x}{8} = \frac{300}{8} }\)
Calculate
⇒\( \mathsf{x = 37.5 \: minutes}\)
Hope I helped!
Best regards!
I need help ASAP this is really hard
Answer:
x = -13
Step-by-step explanation:
Isolate the variable (x)
9 - 2x = 35
Subtract 9 from both sides
This action cancels out the 9 on the side of the variable
- 2x = 35 - 9
- 2x = 26
Divide by -2 on both sides
x = 26 ÷ -2
x = -13
A line passes through the points (–6, 4) and (–2, 2). which is the equation of the line? y = negative one-half x 1 y = one-half x 7 y = –2x – 8 y = 2x 16
The equation of the line that passes through the points (-6,4) and (-2,2) is y - 4 = -1/2(x + 6)
What is the equation of the line?
To find the equation of a line that passes through two given points, we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line, and m is the slope of the line.
The slope of the line can be found by using the two points:
m = (y2 - y1) / (x2 - x1)
So,
m = (2 - 4) / (-2 - (-6)) = -2/4 = -1/2
We know that the line passes through the point (-6,4) so we can substitute the values into the equation:
y - 4 = -1/2(x + 6)
Hence, the equation of the line that passes through the points (-6,4) and (-2,2) is y - 4 = -1/2(x + 6)
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Select the correct answer.
The graph of a linear function is given below.
What is the zero of the function?
A. -5
B. \(\frac{2}{5}\)
C. 2
D. \(\frac{5}{2}\)
The zero of the function, from the given graph is -5. Therefore, option A is the correct answer.
The graph of a function is given below.
What is the zeros of a function?The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.
From the given graph we can see the graph of function is passing through the x-axis at -5.
The zero of the function, from the given graph is -5. Therefore, option A is the correct answer.
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Simplify the expression by combining like terms 2x+8-x+10
Answer:
x+18
Step-by-step explanation:
Let's simplify step-by-step.
2x+8−x+10
=2x+8+−x+10
Combine Like Terms:
=2x+8+−x+10
=(2x+−x)+(8+10)
=x + 18
what is the answer to 9 + x = −2 for algebra 1?
Answer:
x = -11
Step-by-step explanation:
Answer:
x = -11
Step-by-step explanation:
9+x=−2
Step 1: Simplify both sides of the equation.
x+9=−2
Step 2: Subtract 9 from both sides.
x+9−9=−2−9
x=−11
Find the square root.
±√1.69 = ____ and ____
Answer:
±√1.69 = +1.3 and -1.3Step-by-step explanation:
√169 = 13
square root and two digits after dot means the result need to has one digit after dot (number of digits after dot divided by 2 because of square root)
so √1.69 = 1.3
Nancy is planting cucumbers in a small garden. Before planting, Nancy adds a layer of soil to the garden.
Approximately how many square feet is needed to cover the garden with a layer of soil?
A. 147
B. 73.5
C. 49
D. 98
Answer:
C. 49
Step-by-step explanation:
Side a = 9.89949 = 7√2
Side b = 14
Side c = 9.89949 = 7√2
1/2 x 7√2 x 7√2 = 49
Hope this helps :)
The amount of soil needed to cover the garden is 49 sq.ft, the correct option is C.
What is Pythagoras Theorem?According to Pythagoras Theorem, in a right angled triangle the square of the side opposite to the right angle is equal to the sum of squares of the other two sides.
Height² + Base² = Hypotenuse²
The right triangle has hypotenuse of 14ft
As the other two angles are eqaul
The base and height of the triangle will be equal
Let the base and height of the triangle is x ft
By Pythagoras theorem,
x² +x²= 14²
2x² = 196
x² = 98
x = 9.9 ft
The area of the triangle will be equal to needed to cover the garden with a layer of soil
The area of the triangle is = (1/2) * base * height
Area of the triangle = (1/2) * 9.9 * 9.9
Area of the triangle is 49 sq.ft
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Is $9 : 4 visitors - $18 : 8 visitors proportional
Yes, $9 for 4 visitors and $18 for 8 site visitors are proportional.
To determine whether or not $9 for 4 visitors and $18 for 8 visitors are proportional, we need to test if the ratio of the value to the number of visitors is the equal for both cases.
The ratio of cost to the quantity of visitors for $9 and four visitors is:
$9/4 visitors = $2.25/ visitors
The ratio of value to the quantity of visitors for $18 and eight visitors is:
$18/8 visitors = $2.25/ visitors
We are able to see that both ratios are equal to $2.25 per visitor.
Therefore, $9 for 4 visitors and $18 for 8 site visitors are proportional.
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HELP WILL NAME BRAINLIEST ! Calculate d so that a single line will pass through all three points.
Answer:1.8
Step by step explanation:
A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?
Answer:
The answer is 72%
Step-by-step explanation:
54 out of 75 is a percentage of 72%.
\(\frac{54}{75} = 72\)
Mark me brainliest if possible, it's always appreciated!
Hope this helps!
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Help me pleaseeee I need to finish