a line passes through the point -8,-3 and has a slope of -3/2. write an equation
Answer:
y = -3/2x - 15
Step-by-step explanation:
Use the slope intercept form y = mx + b to substitute the slope = -3/2 and the point (-8, -3).
y = mx + b
-3 = -3/2(-8) + b
-3 = 12 + b
-15 = b
y = -3/2x - 15
what is the equation of the line that passes through the point negative -5, 7 and has a slope of -2/5
Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.
thank you in advance to whoever answers !!!!
Answer:
answer c would be correct because the model both moved and rotated.
rachel got prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 22 cents per yard. If after that purchase there was $19.88 left on the car, how many yards of ribbon did rachel buy.
Answer:
46 yards.
Step-by-step explanation:
Subtract the new balance from the original balance:
30.00 - 19.88 = 10.12
Therefore, Rachel spent $10.12
Divide the result by the cost of ribbons per yard:
10.12 ÷ 0.22 = 46
Therefore, Racheal bought 46 yeards of ribbon.
A container holds 4 gallons of lemonade. A large lemonade contains 16 ounces. How many large lemonades could a restaurant sell before they run out of lemonade?
Answer:
32 large lemonades
Step-by-step explanation:
4 gallons = 512 ounces
512 ounces / 16 ounces
= 32 large lemonades.
A gardener has a flower pot that he wants to fill with dirt. The flower pot has a radius of 8 cm at its opening and a radius of 7 cm at its base. The flower pot has a height of 10 cm.
Part A:
Provide an estimate for the amount of dirt, in cubic centimeters, that the gardener will need to completely fill the flower pot.
Part B:
Explain how you determined your answer.
Part A: The approximate volume of the frustum is [tex]1769cm^3[/tex].
Part B: How the answer was determined was to view the flower pot as a frustum of a cone, and apply the formula in calculating the volume of the flower-pot.
The flower pot has the shape of a conical frustum (See the attached image). The volume of the frustum is given by
[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)[/tex]
where
[tex]y=\text{height of the frustum}=H-h=10cm\\R=\text{radius of larger cone}=8cm\\r=\text{radius of smaller cone}=7cm[/tex]
substituting the values of [tex]y[/tex], [tex]R[/tex] and [tex]r[/tex] into the frustum formula and using [tex]\pi\approx 3.14[/tex]
[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)\\\\=\frac{\pi\times 10 }{3}(8^2+8\times 7+7^2)\\\\=\frac{10\pi}{3}(64+56+49)\\\\=\frac{1690\pi}{3}\\\\\approx 1769cm^3[/tex]
the approximate volume of the frustum is [tex]1769cm^3[/tex]
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CAN SOMEONE HELP ME PLEASE ASAP!?
Answer: 20 ft.
Step-by-step explanation:
Simply multiply 5 x 4.
Answer:
20 ft`
Step by step explanation:
N/A
Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many tala would she get if she exchanged $6?
Answer:
18 Tala
Step-by-step explanation:
6/2= 3
3*6= 18
18 Tala
Need help with the answer it’s confusing
16±0.12
Step-by-step explanation:
%uncertainity=uncertainity÷measured value×100%
0.75×16=100x
x=12÷100
x=0.12
ANS;16±0.12
Jamal finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 9 dimes and 4 quarters? How much money (in dollars) does he have if he has xx dimes and yy quarters? Total value, 9 dimes and 4 quarters (dollars): Total value, xx dimes and yy quarters (dollars):
Answer:
$1 dollar and $0.90cents
Step-by-step explanation:
Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
Both still have the same profit. $2 for sandwiches and $3 for wraps. The only reason why there is a difference in the total amount is the change in number of sandwich or wrap sold in a given month. Therefore, next month's total sale is higher than last month's total sale making it safe to assume that the sale of sandwich or wrap is higher than last month's sale.
{hope this helps}
Jake fills a tank that can hold 200 gallons of water. The tank already has 50 gallons of water in it when Jake starts filling it at the rate of 10 gallons per minute. Karla fills a tank that can hold 300 gallons of water. That tank already has 100 gallons of water in it when Karla starts filling it at the rate of 5 gallons per minute. Jake and Karla start filling the tanks at the same time. How long after they start filling the tanks do the tanks have the same volume of water? What is that volume of water? I
Answer:
Let m represent the number of minutes.
Amount of water in Karla's tank: 100 + 5m
Amount of water in Jake's tank: 50 + 10m
Same amount of water: 100 + 5m = 50 + 10 m
---> 100 = 50 + 5m
---> 50 = 5m
---> 10 = m
In ten minutes, Karla's tank will have 100 + 5(10) = 100 + 50 = 150 gallons.
In ten minutes, Jake's tank will have 50 + 10(10) = 50 + 100 = 150 gallons.
Step-by-step explanation:
hope this helped!
HELP !!! HI PLEASE HELP PLEASE I NEED MATH HELP LOL
Answer:
(-1, 0.5)
Step-by-step explanation:
please mark brainliest
Describe the graph x = 2.
Group of answer choices
Horizontal line that goes through the point (0,2).
Vertical line that goes through the point (2,0).
Diagonal line that goes through point (0,2).
Diagonal line that goes through the point (2,0).
Answer:
3rd is the answer!! Hope this helps
7. Un cuerpo desliza hacia abajo con velocidad constante por un plano inclinado a un ángulo de 22º. Luego es lanzado en sentido contrario por el mismo plano con una velocidad inicial de 4.0 m/s. a) ¿Qué distancia subirá por el plano antes de detenerse? b) ¿Deslizará nuevamente hacia abajo?AYUDAAAA ES PARA HOY!!!
The distance travelled across the slant will be -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.
What is resolution of vectors?If we take a single vector we can find a pair of vectors at right angles to each other that would combine to give the single original vector. This reverse process is called resolution or resolving vectors.
Given is that body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s.
[A] -
We can write the total distance covered along the slant as a function of [x] and [y] components as -
h = h[x] i + h[y] j
Now -
h[x] = 4tcos(22°)
Now -
F = ma
F = m{dv/dt}
Fdt = mdv
mg sin(22°)dt = mdv
dt = {1/g sin(22°)}dv
∫dt = ∫ {1/g sin(22°)}dv
t = v/g sin(22°)
So, we can write -
h[x] = 4 cos(22°)v/g sin(22°)
h[x] = {4v/g}{cot (22°)}
Similarly -
h[y] = 4t'cos(22°)
F = ma
F = m{dv/dt}
Fdt = mdv
N cos(22°) - mg = F
{N cos(22°) - mg}dt' = mdv
{mg cos(22°) - mg}dt' = mdv
{g cos(22°) - g}dt' = dv
dt' = dv/{g cos(22°) - g}
∫dt' = ∫dv/{g cos(22°) - g}
t' = {v/g(cos(22°) - 1)}
So -
h[y] = 4 x {v/g(cos(22°) - 1)} x cos(22°)
h[y] = {4v/g(cos(22°) - 1)} cos(22°)
So -
Distance travelled across the slant -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}²
[2] -
Yes, it will slide down again.
Therefore, the distance travelled across the slant will be -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.
To solve more questions on resolving vectors, visit the link below -
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{Question in english language -
A body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s. a) How far will it go up the plane before stopping? b) Will it slide down again? HELP IS FOR TODAY!!!}
what is the cost of 12 bottles? explain
Answer:
$24
Step-by-step explanation:
The unit rate is shown to be $2 per bottle. The cost of 12 bottles is 12 times the cost of one bottle. That means the cost of 12 bottles is ...
(12 bottles) × ($2/bottle) = $24
Karla is reading about a type of single-celled microorganism that can live inside the human body. This type of organism can be either harmful or harmless to people, depending on the type. One harmless type lives in the intestines and helps the body digest food. One harmful type can cause strep throat. Which type of organism is Karla most likely reading about?
[tex]\sf -(6-4x)[/tex]
Answer:
[tex] - (6 - 4x) = - 6 + 4x[/tex]
Answer:
[tex]-6+4x[/tex]
Step-by-step explanation:
[tex]-(6-4x)[/tex]
[tex]\mathrm{Distribute\:parentheses}[/tex]
[tex]=-\left(6\right)-\left(-4x\right)[/tex]
[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]
[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]
[tex]=-6+4x[/tex]
I need help with this please
Answer:
see attached
Step-by-step explanation:
boundary line
When graphing, it can be useful to have the equation in slope-intercept form. You can get that by solving for y.
4y ≤ -5x -4 . . . . subtract 5x from both sides
y = -5/4x -1 . . . . divide both sides by 4
This tells you the slope is -5/4, and the boundary line crosses the y-axis at y = -1. The slope is the ratio of rise to run, so -5/4 tells you the line will go down 5 units for each 4 unit to the right. That is, points (4, -6) and (-4, 4) will be on the line.
line type and shading
The "or equal to" part of the inequality symbol (≤) tells you that the boundary line will be solid, not dashed.
The "less than" part of the symbol tells you that the values of x and y are less than those on the boundary line, so shading will be to the lower-left. The graph is shown in the attachment.
_____
Additional comment
You can determine the location of the shading by looking at any variable term that has a positive coefficient, and its relation to the inequality symbol. Here, that could be either of ...
5x ... ≤ ...4y ... ≤ ...These tell you that x- and y-values in the solution set are less than those on the line, so shading will be left of (x<) or below (y<) the line. (In rare cases where all of the variable coefficients are negative, you can multiply the equation by -1 and reverse the inequality before you make this analysis.)
Solve 4 | x + 7 |= 24.
Answer
either 168 or 164thats all i can tell you
Step-by-step explanation:
System of equation
Value of b
6x-36+120=180
what is the value of x, in degrees?
What is the equation of the line that passes through the point (-5, -2) and
has a slope of -6/5
Answer:
y=-6/5x-8
Step-by-step explanation:
Because you know the slope of the line, you can put it into the slope-intercept form equation:
y=-6/5(x) +b
Then plug in the x and y values which are -5 and -2:
-2=-6/5(-5) +b
Now you can solve for b:
-2=6 +b
-8=b
Now that you know b and already have the slope, plug those into the equation:
y=-6/5x -8
a number cube is rolled.what is the probability of rolling a number greater than 4
Answer: 2/6
Step-by-step explanation:
There’s only 2 numbers greater than 4 on a die, so two would be the numerator and the denominator would be the number of possibilities you could roll, which is 1-6.
2/6, 1/3, or approx. 33.3%
A number cube will have six sides and two out of six will be greater than four, therefore, there is around a 33.3% chance you will roll a number greater than 4. :)
What are the solutions to the equation (x-1)(x+2)=-2?
Method used:-
Completing the square method.
Steps :-
[tex]( x - 1 ) ( x + 2 ) = - 2\\x^{2}+x-2=-2 \\x^{2}+x=-2+2 \\x^{2}+x=0[/tex]
Now, make the left hand side of the equation by adding the square of ½ to both sides of the equation.
[tex]x^{2}+x+\left(\frac{1}{2}\right)^{2}=\left(\frac{1}{2}\right)^{2} \\x^{2}+x+\frac{1}{4}=\frac{1}{4} \\\left(x+\frac{1}{2}\right)^{2}=\frac{1}{4} \\\sqrt{\left(x+\frac{1}{2}\right)^{2}}=\sqrt{\frac{1}{4}} \\[/tex]
Simplify the equation. You'll get a +ve & -ve value.
[tex]x+\frac{1}{2}=\frac{1}{2} \\x+\frac{1}{2}=-\frac{1}{2}[/tex]
Simplify it further.
[tex]\boxed{\sf\:x=0}\\ \boxed{\sf\:x=-1 }[/tex]
The solutions are :-
x = 0 & x = -1
______
Hope it helps ⚜
How is solving −7x = −10.5 different from solving − 1 7 x = −10.5? How are the solutions related? Complete the explanation.
find.
number y if 2/5of y is 22
Solve the division fact:
7 = 56 :
Answer:
the correct answer to the math problem is 8
Step-by-step explanation:
56÷8=7
Find the volume of a cylinder whose radius is 2 cm and whose height is 6 cm (use ╥=3.14 and give the answer to the nearest hundredth).
V = πr²h
V = 3.14 · 2² · 6
V = 3.14 · 24
V = 75.36
Hope this helps!
Answer: 75.36
Step-by-step explanation:
If the Fed's reserve requirement is 5 percent, then what quantity of excess reserves does the Bank of Cheerton now hold?
The quantity of excess reserves that the Bank of Cheerton now hold is $210
From the attached table, the amount generated on the reserve is $4,200
If the Fed's reserve requirement is 5 percent, then the quantity of excess reserves that the Bank hold is given as:
Quantity of excess reserves = 5% of $4,200
Quantity of excess reserves = 0.05 * 4200
Quantity of excess reserves = $210
Hence the quantity of excess reserves that the Bank of Cheerton now holds is $210.
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