Answer:
82 + 0.6h = 85 and h = 5
Step-by-step explanation:
hours = h
82 + 0.6h = 85
85 - 82 = 0.6h
3 = 0.6h
3/0.6 = h
h = 5
Describe a pathology that is associated with any one of these special cell types and outline any real-life experience you may have with the disorder/disease.
One pathology associated with special cell types is multiple sclerosis (MS), a chronic neurological disorder affecting the central nervous system. MS involves damage to the protective covering of nerve fibers, known as myelin, which disrupts the communication between the brain and the rest of the body.
This can lead to a wide range of symptoms, including fatigue, muscle weakness, coordination problems, and cognitive impairment. I have had personal experience with a family member who was diagnosed with MS. Witnessing their journey with this disease has highlighted the challenges they face on a daily basis. The unpredictable nature of MS, with periods of relapse and remission, has made it difficult for them to plan their activities and maintain a consistent quality of life.
They have undergone various treatments, including medication and physical therapy, to manage symptoms and slow down the progression of the disease. Seeing their resilience and determination in adapting to the limitations imposed by MS has inspired me and reinforced the importance of ongoing research and support for individuals affected by this condition.
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PLZZ HELP ILL GIVE BRAINLIST
What is the constant terms
Answer:
In mathematics, a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. ... A term is a constant or the product of a constant and one or more variables.
Step-by-step explanation:
;-;
HELP ME!
A passenger train leaves a train depot 2 h after a freight train leaves the same depot. The freight train is traveling 28 mph slower than the passenger train. Find the rate of each train if the passenger train overtakes the freight train in 3 h.
A. Passenger train ___ mph
B. freight train ___ mph
Answer: A. Passenger train: 52 mph B. Freight train: 24 mph
Step-by-step explanation:
Can someone help me please
Answer:
your mom
Step-by-step explanation:
your mom is gay
Han wants to build a dog house. He makes a list of the materials needed:
At least 60 square feet of plywood for the surfaces
At least 36 feet of wood planks for the frame of the dog house
Between 1 and 2 quarts of paint
Han's budget is $65. Plywood costs $0.70 per square foot, planks of wood cost $0.10 per foot, and paint costs $8 per quart.
write inequalities to represent the material constraints and cost constraints in this situation.
Answer:
a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)
Step-by-step explanation:
In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:
a) At least 60 square feet of plywood for the surface
Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:
\(p \geq 60\,ft^{2}\) (Eq. 1)
b) At least 36 feet of wood planks for the frame of the dog house
Let \(w\) the total length of wood planks, measured in feet, and the inequation is:
\(w \geq 36\,ft\) (Eq. 2)
c) Between 1 and 2 quarts of paint
Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:
\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)
d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.
Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:
\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)
Write an inequality to represent each constraint(material and cost)
Inequality to represent cost constraints is 0.70p + 0.10pw + 8pa ≤ 65Plywood:
plywood ≥ 60 square feet
Planks:
planks ≥ 36 feet
Paints
1 quarts ≤ paints ≤ 2 quarts
Inequality to represent cost constraint
Plywood = $0.70
planks of wood = $0.10
paint costs $8
Total cost = $65
0.70 × p + 0.10 × pw + 8 × Pa ≤ 65
0.70p + 0.10pw + 8pa ≤ 65
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A large container holds 5 gallons of water. It
begins leaking at a constant rate. After 6
minutes, the container has 3 gallons of
water left. At what rate is the water leaking?
I have multiple questions:
1: 2/3÷4/5
2: 2 1/9÷2/3
3: 3/5÷1 1/4
Answer:
1: 5/6
2: 3 1/6
3: 12/25
hope this helps!!
p.s
comment if wrong
Find the x-value using substitution.
y = -3x + 11
5x + y = 21
Answer:
5x+(-3x+11)=21
2x+11=21
2x=21-11
2x=10 2x/2=10/2
x=5
Answer:
X = 5
Step-by-step explanation:
here's your solution
=> y= -3x + 11.
=> given equation = 5x + y = 21
=> by putting value of Y in given equation
=> 5x -3x + 11 = 21
=> 2x + 11 = 21
=> 2x = 21-10
=> x = 10/2
=> x = 5
hope it helps
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $356 to drive 380 mi and in June it cost her $404 to drive 620 mi. The function is C(d)=0.2+280 (b) Use part (a) to predict the cost of driving 1800 miles per month. (c) Draw a graph (d) What does the slope represent? What does the C-intercept represent? Why does a linear function give a suitable model in this situation?
(b) $640 (c) y-int of 280, positive slope (d) It represents the cost (in dollars) per mile. It represents the fixed cost (amount she pays even if she does not drive). A linear function is suitable because the monthly cost increases as the number of miles driven increases.
To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.
(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).
The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.
This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.
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Simplify the following expression.
(14x + 9y) + (41x + 27y)
Answer:
55x+36y
Step-by-step explanation:
1. Group similar terms: 14x+41x+9y+27y
2. Add: 55x+36y
I need help with this please guys it’s due today
Answer:
(4, 1)
I think
I don't see another answer that makes sense is this a trick question?
4•(2+5)^2 -5^2 how do I solve this?
Answer:
4•(2+5)^2 -5^2 = 171
Step-by-step explanation:
Do BIDMAS
(brackets, indices, division, multipy, add, sub)
so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps
Answer: Brackets => 4 x (7)^2 - 5^2
Indices/Orders => 4 x 49 - 25
Multiplication => 196 - 25
Subtraction => 171
two equal-size vectors at right angles to each other have a resultant that is
Two equal-size vectors at right angles to each other have a resultant that is equal to \(\sqrt{2}\) times the magnitude of each individual vector.
The magnitude of the resultant vector of two equal-size vectors at right angles to each other can be determined using the Pythagorean theorem.
Let's assume the magnitude of each vector is represented by "a".
According to the Pythagorean theorem, the magnitude of the resultant vector, denoted as "R", can be calculated as:
R =\(\sqrt{a^2 + a^2}\)
R = (\(\sqrt{2a^{2} )}\)
R = \(\sqrt{2}\) a
Therefore, the magnitude of the resultant vector is equal to \(\sqrt{2}\) times the magnitude of each individual vector.
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If you had $1000 and it earned 5% interest for one year, you would have earned __________in interest that year.
Answer:
Simple interest = P × R × T/ 100
simple interst = 1000 × 5 × 1 / 100
simple interst = 10 × 5 × 1 = 50
one year interst = $ 50
7069 divided by 328 in need the reminder
Answer:
21.5518292683
Step-by-step explanation:
7069 / 328 = 21.5518292683
A parallelogram has coordinates of (5, 17), (10, 20), (18, 9), and (13, 6). Which right triangle represents one of the cutouts from the box method
The coordinates form a right triangle and the coordinates are within the parallelogram .
What is parallelogram explain?
A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.A right triangle cutout from the parallelogram has the vertices (13,10), (13,14) and (11,10)
The coordinates of the parallelogram are given as -
(5, 17), (10, 20). (18,9), and (13,6)
The question is incomplete, as the options are not given.
So, use of a general explanation
For the right triangle to be a cutout from the parallelogram, then the vertices of the right triangle must be within the coordinates (5, 17), (10, 20). (18,9), and (13,6)
An example of such coordinates are = (13,10), (13,14) and (11,10)
Note that you can use any coordinates, as long as the coordinates form a right triangle and the coordinates are within the parallelogram.
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The complete question is -
A parallelogram has coordinates of (5, 17), (10, 20). (18,9), and (13,6). Which right triangle represents one of the cutouts from the box method ?17
Answer:
It will be C
Step-by-step explanation:
Can someone help me with this question ASAP!
Answer:
2700
Step-by-step explanation:
i think it is becaus you have to do l x w x h
Charlotte needs to order some new supplies for the restaurant where she works. The restaurant needs at least 535 glasses. There are currently 321 glasses. If each set on sale contains 20 glasses, write and solve an inequality which can be used to determine s, the number of sets of glasses Charlotte could buy for the restaurant to have enough glasses.
Answer:
sadafsa a a a a a aa. a heehehwhwhwh hehehheeheheh im going to bed ehehebbebeeb for al jfdjskalsm or worse expelled harry potter
Please helpp I don’t have much time
Jeania's parents have given her a interest-free loan of $100 to buy a new pair of running shoes She has to
pay back the loan with monthly payments of $20 each.
Write a function rule for the balance of the function (p), where p represents the number of
payments Jeania has made.
Answer:
The balance on the loan f(p) = $100 - $20 × p
Step-by-step explanation:
The parameters of the question are;
The loan amount = $100
The amount of monthly payment for the loan = $20
The function rule for the balance of the function f(p) where p is the number of payments is given as follows;
The balance on the loan, f(p) = The loan amount less the total amount paid
The total amount payment Jeania has made = Amount of monthly payment × Number of months paid, p
The total amount payment Jeania has made = $20 × p
∴ The balance on the loan, f(p) = $100 - $20 × p
Which gives;
f(p) = $100 - $20 × p.
Four pieces of rope of unknown (but equal) length and 10 more feet of rope are attached together. The resulting rope is 30 feet long.
How long is each of the pieces of rope that is not 10 feet?
Answer:
5 feet each
Step-by-step explanation:
So we know that 4 pieces of rope out of 5 are equal. So, we simply subtract 10 from 30 for that 10-foot piece of rope, which leaves us with 20. Divide 20 by 4 (since there is 4 pieces of rope of equal value) and it leaves us with 5 feet.
Hope I helped! :)
Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly deposits into the account as a continuous income stream. If money in the account earns 5%, compounded continuously, how much will be in the account 30 years later, when you retire at age 65? How much of the final amount is interest? What is the value of the IRA when you turn 65? $ (Round to the nearest dollar as needed.)
After 30 years of continuous deposits of $2000 per year into an IRA account earning 5% interest compounded continuously, the account would have $8,966.60. The interest earned is -$51,033.40, indicating a loss. The value of the IRA, when you turn 65, is $8,966.60.
To calculate the amount in the IRA account after 30 years, we can use the continuous compound interest formula. The formula for the future value (FV) of a continuous income stream is given by:
FV = P * \(e^{(rt)}\)
Where:
P = annual deposit amount
r = interest rate per year (in decimal form)
t = number of years
In this case, the annual deposit amount is $2000, the interest rate is 5% (0.05 in decimal form), and the number of years is 30.
FV = 2000 * \(e^{(0.05 * 30)}\)
Using a calculator, we can calculate the value of \(e^{(0.05 * 30)}\) to be approximately 4.483.
FV = 2000 * 4.483 ≈ $8,966.60
So, the amount in the IRA account after 30 years will be approximately $8,966.60.
To determine the interest earned, we subtract the total amount deposited from the final value:
Interest = FV - (P * t)
Interest = 8,966.60 - (2000 * 30) = 8,966.60 - 60,000 = -$51,033.40
The negative value indicates that the total amount deposited is greater than the final value, resulting in an overall loss of $51,033.40.
The value of the IRA, when you turn 65, is equal to the final amount, which is approximately $8,966.60.
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Ajay is researching how the population of his hometown has changed over time. Specifically, he learns his hometown had a population of 20{,}00020,00020, comma, 000 in 199019901990, and that the population has since increased by about 8\%8%8, percent every 333 years.
Ajay predicts that his town can only support a population of 50{,}00050,00050, comma, 000. Ajay is relieved to see that population has not exceeded 50{,}00050,00050, comma, 000 ttt years after 199019901990.
Write an inequality in terms of ttt that models the situation.
Answer:
Could you Write the question more clearly?
Step-by-step explanation:
Shiva has 1.95 pounds of meat. She uses 0.13 pound of meat to make one hamburger. How many hamburgers can Shiva make with the meat she has?
Answer:
Shiva can make 15 hamburgers
Step-by-step explanation:
1.95 /0.13= 15
1 hamburger 0.13
Check
0.13 x 15 = 1.95
Answer:
\( \bf \huge \: 15\)
Step-by-step explanation:
Given that :Shiva has 1.95 pounds of meat.She uses 0.13 pound of meat to make one hamburger.to find :How many hamburgers can Shiva make with the meat she has ?explanation :⟼ total meat = 1•95 pounds
⟼ use meat to make a hamburger = 0•13 pounds
⟼ how many hamburgers shiva make with the total meat = total meat / use meat to make a hamburger
⟼ how many hamburgers shiva make with the total meat = 1•95 / 0•13
⟼ how many hamburgers shiva make with the total meat = 15 hamburgers .
∴ shiva make 15 hamburgers with 1•95 pounds meat.
verification :let take shiva make 15 hamburgers with 1•95 pounds meat.
⟼ 0•13 × 15 = 1•95
⟼ 1•95 = 1•95
hence verified ☑️The change in the value of a linear function f(x) as x increases is shown in the table below.
f(x) -3 -2 -1 0
x -2 0 2 4
What is the rate of change? Decimal form.
m=
Answer:
m = 1/2
Step-by-step explanation:
\(m = \frac{ - 2 - ( - 3)}{0 - ( -2)} = \frac{1}{2} \)
Work out the size of angle x.
38°
х
101°
The size of the angle 'x' is 117°
The external angle of a triangle:An external angle of a triangle is an angle formed by extending one side of the triangle and intersecting with the extension of another side.
In a triangle, the measure of an external angle is equal to the sum of the measures of the two opposite interior angles.
Here we have a triangle
Let the ABC be the triangle as given in the picture
=> ∠A = 38°
From the baseline BC
=> Measure of B = 180° - 101° = 79°
As we know
In a triangle, the measure of an external angle is equal to the sum of the two opposite interior angles
=> x = ∠A + ∠C
=> x = 38° + 79°
=> x = 117°
Therefore,
The size of the angle 'x' is 117°
Therefore,
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10. A gardener wants to pour a sidewalk around the outside of his 20- by 30-meter garden. The sidewalk will be
1 meter wide. How many square meters of sidewalk will he have?
30 m
20 m
(Hint: Subtract the area of the garden from the total area covered by
both the garden and the sidewalk. A = A, - A)
1m2!
w1m
Answer:
https://learning-ph.com/math/question7489744
pls check this site
Step-by-step explanation:
Answer:
104 m²
Step-by-step explanation:
There is a 1 m sidewalk around the garden
Then length = 30 + 1 + 1 = 32 m
and width = 20 + 1 + 1 = 22 m
Area = 32 × 22 = 704 m²
Area of garden = 30 × 20 = 600 m²
Area of sidewalk = 704 - 600 = 104 m²
PLS HELP ME WITH THIS ASAPP
The value of the function f(x) at x = 1.477.
f(1.477) = 32.857
The value of the function g(x) at x = 20.
g(20) = 1.729
We have,
Two functions:
f(x) = b^x
g(x) = log_b(x)
Now,
From the table,
f(0.699) = b^0.699 = 5
Taking the logarithm of both sides with base b.
log_b(5) = 0.699
b = 5^(1/0.699)
b = 8.343
Now, we can find the value of f(1.477).
f(1.477) = b^1.477 = 8.343^1.477 = 32.857
Similarly, we can find the value of g(20).
g(20) = log_b(20) = log_8.343(20) = 1.729
Thus,
The value of the function f(x) at x = 1.477.
f(1.477) = 32.857
The value of the function g(x) at x = 20.
g(20) = 1.729
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If a 4×4 matrix A with rows v⃗ 1, v⃗ 2, v⃗ 3, and v⃗ 4 has determinant detA= 3 , then det:
10v1+6v2
5v1+5v2
v3
v4
i tried det=3, but that wasnt it. help!
If a 4×4 matrix A with rows v⃗ 1, v⃗ 2, v⃗ 3, and v⃗ 4 has determinant detA= 3 , then det: 10v1+6v2; 5v1+5v2; v3; v4, then the determinant of the new matrix is 48.
To find the determinant of the new matrix, we need to use the properties of determinants. One property states that if we multiply any row of a matrix by a scalar k, then the determinant of the new matrix is k times the determinant of the original matrix.
Using this property, we can find the determinant of the new matrix as follows:
det (10v1+6v2 5v1+5v2 v3 v4)
= 10 det (v1 v2 v3 v4) + 6 det (v2 v1 v3 v4) + 5 det (v1 v2 v3 v4) + 5 det (v2 v1 v3 v4) + det (v1 v2 v3 v4)
= 21 det (v1 v2 v3 v4)
= 21 * det (A)
= 21 * 3
= 63
Therefore, the determinant of the new matrix is 63.
To find the determinant of the new matrix, you can use the property of linearity of determinants with respect to the rows. The new matrix can be written as:
| 10v1+6v2 | | 10v1 | | 6v2 |
| 5v1+5v2 | = | 5v1 | + | 5v2 |
| v3 | | v3 | | v3 |
| v4 | | v4 | | v4 |
Now, we have two separate matrices, and we can find their determinants individually:
det( | 10v1 | ) = 10 det( | v1 | )
| 5v1 | | v2 |
| v3 | | v3 |
| v4 | | v4 |
det( | 6v2 | ) = 6 det( | v1 | )
| 5v2 | | v2 |
| v3 | | v3 |
| v4 | | v4 |
Using the property of linearity, we can add these determinants together:
10 * detA + 6 * detA = (10 + 6) * detA = 16 * detA = 16 * 3 = 48
So, the determinant of the new matrix is 48.
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