Answer:
18.0625 ft
Step-by-step explanation:
Greatest height is when:
t = -b/2a
t = -30/2(-16)
t = 15/16
Greatest height is:
-16t(15/16)² + 30(15/16) + 4 = 289/16
= 18.0625m
Joshua just bought a new fish tank. The tank is 14 inches tall and has a radius of 4 inches. How much water can Joshua put in the tank? Use 3.14 for pi. *
A. 703.36 cubic inches
B. 56 cubic inches
C. 224 cubic inches
D. 175.84 cubic inches
Answer:
V = 703.36 in³ (This matches answer option A.)
Step-by-step explanation:
This fish tank has a cylindrical shape. The formula for the volume of a cylinder of radius r and height h is
V = (pi)(r²)(h).
We are told that h = 14 in and r = 4 in. Using 3.14 for pi:
V = (3.14)(4 in)²(14 in) =
V = 703.36 in³ (This matches answer option A.)
(PLEASE HELP QUICKLY) Melanie and her children went into a grocery store and she bought $14 worth of apples and bananas. Each apple costs $1.75 and each banana costs $0.70. She bought a total of 11 apples and bananas altogether. By following the steps below, determine the number of apples, x, and the number of bananas, y, that Melanie bought.
Make up 3 solutions
Answer:
6 apples and 5 bananas
Step-by-step explanation:
x + y = 11
x = 11 - y
1.75x + 0.70y = 14
1.75(11 - y) + 0.7y = 14
19.25 - 1.75y + 0.7y = 14
5.25 = 1.05y
y = 5
x = 11 - 5 = 6
Answer:
3 apples and 7 bananas
Step-by-step explanation:
sry thats 1
Factor the following equation:
x^2 -x-90
Answer:
(x - 10)(x + 9)
Step-by-step explanation:
[tex] {x}^{2} - x - 90 \\ = {x}^{2} - 10x + 9x - 90 \\ = x(x - 10) + 9(x - 10) \\ = \red{ \boxed{ \bold{ (x - 10)(x + 9) }}}\\ [/tex]
Solve this system of linear equations. Separate
the x- and y-values with a comma.
-9x = 16 - y
12x = -5 - y
Answer:
Step-by-step explanation:
-9x + y = 16
12x + y = -5
12x + y = -5
9x - y = -16
21x = -21
x = -1
9 + y = 16
y = 7
(-1,7)
hey can anyone help me in dis!!!!!!!!
Answer:
the red is longer
Step-by-step explanation:
Pound: 1/2 __ 5 Ounces: __ 32 __
Answer:
pounds - ½, 2, 5
ounces - 8, 32, 80
Step-by-step explanation:
Unit 5. 9) Please help. A soda can holds approximately 25.5 cubic inches of soda and is 4.8 inches tall. What is the approximate area of its base?
Answer:
5.3125 in^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = Bh
Where B is the area of the base
25.5 = 4.8 B
Divide each side by 4.8
25.5/4.8 = B
5.3125 = B
Use the expression 8a + 16c.
Part A
Factor the expression using the GCF.
Answer:
8(a+2c)
Step-by-step explanation:
Answer:
C. 8(a + 2c)
Step-by-step explanation:
On the first day of school, each student is given $0.50 to attend. On day two, each student earns $1.00, day 3, $2.00, etc. How much do
students earn on the ninth day of school?
Answer:
$128
Step-by-step explanation:
We can model this as an exponencial function, as the value earned each day doubles:
P = Po * r^t
Where P is the value after t days, Po is the inicial value and r is the rate.
In this case, we have r = 2 and Po = 0.25 (so for t=1 we will have P = 0.5).
The equation will be:
P = 0.25 * 2^t
Then, for t = 9, we have:
P = 0.25 * 2^9 = $128
Can someone help me on this
Answer:
1. C) quadratic
2. b) exponential
Step-by-step explanation:
Miguelito vende camisas de vestir . En el local le cobran $150 de alquiler; comprq cada camisa en $3.00 y la vende en $5.00. Cuanto es el numero minimo de camisas que debe vender para tener ganancias.
Answer:
[tex]x_{min} = 75\,camisas[/tex]
Step-by-step explanation:
El número mínimo de camisas a vender es igual al costo de alquiler del local dividido por la diferencia entre los valores de venta y compra de cada camisa. (The minimum amount of shirts to be sold is equal to the rental cost of the retail space divided by the difference between sell and purchase cost per shirt):
[tex]x_{min} = \frac{\$ 150}{\$ 5 - \$ 3}[/tex]
[tex]x_{min} = 75\,camisas[/tex]
Miguelito debe vender un mínimo de 75 camisas para obtener ganacias. (Miguelito must sell a minimum of 75 shirts to make a profit.)
xion orders 5 loves of bread from the website bakery the total shipping weight is 9 pounds as model of the bread what is in pounds each of the lovaes
De’Andre is determining the volume of the triangular prism below. Which expression will give him the correct value of B, the area of the base?
Answer:
the other person is incorrect it is 3 x 3 / 2
Step-by-step explanation:
this is my question
The volume of the given triangular prism is 31.4937 cubic inches
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
From the given triangular prism
Base side a =3 in
Base side b=3 in
Base side c=4.2
height h=7 in
The formula to find the volume of triangular prism
Volume = 1/4h√-a⁴+2(ab)²+2(ac)²-b⁴+2(bc)²-c₄
Substituting the values in the formula we get
Volume =31.4937
Hence, the volume of the given triangular prism is 31.4937 cubic inches
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graph the circle x^2+y^2+2x+4y-44=0
plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.
To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, we can follow these steps:
1. Complete the square for the x-terms:
Rearrange the equation to group the x-terms together:
x^2 + 2x + y^2 + 4y = 44
To complete the square for the x-terms, add (2/2)^2 = 1 to both sides of the equation:
x^2 + 2x + 1 + y^2 + 4y = 44 + 1
Simplify:
(x + 1)^2 + y^2 + 4y = 45
2. Complete the square for the y-terms:
To complete the square for the y-terms, add (4/2)^2 = 4 to both sides of the equation:
(x + 1)^2 + y^2 + 4y + 4 = 45 + 4
Simplify:
(x + 1)^2 + (y + 2)^2 = 49
3. Identify the center and radius:
The equation is now in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2
Comparing this with our equation, we can see that the center of the circle is (-1, -2) and the radius is √49 = 7.
4. Plot the graph:
The center of the circle is (-1, -2), which represents the point where the circle is centered. From this point, we can draw a circle with a radius of 7 units in all directions.
By following these steps, we can plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.
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Note the full question may be:
To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, first rewrite it in standard form by completing the square for both x and y terms. Then identify the center and radius of the circle and plot the corresponding points to draw the graph.
basic trigonometry question, picture attached please help
Which solution set is graphed on the number line?
Answer:
An inequality, such as x>2 can be graphed on the number line.
Step-by-step explanation:
An inequality, such as x>2 can be graphed on the number line. An open circle as a stating point, indicates the number is NOT included in the solution. Where as a closed circle or "dot" indicates the number IS included in the solution.
Answer:
An inequality, such as x>2 can be graphed on the number line.
Step-by-step explanation:
A football team tries to move the ball forward as many yards as possible on each play, but sometimes they end up behind where they started. The distances, in yards, that a team moves on its first five plays are 2, 21, 4, 3, and 25. A positive number indicates moving the ball forward, and a negative number indicates moving the ball backward. 1). Which number in the list is the greatest? 2). What is a better question to ask to find out which play went the farthest from where the team started? 3). The coach considers any play that moves the team more than 4 yards from where they started a "big play." Which play(s) are big plays?
Answer:
Given:
The distances, in yards, that a team moves on its first five plays are 2, 21, 4, 3, and 25.
Solved:
1. The greatest number is 25
2. If the moved distances are square, which one is largest?
3. The move which is greater than 4 is considered "big play"
=> 21 and 25 are big play (21 > 4, 25 > 4)
Hope this helps!
:)
A student used the point-slope form to write the equation of a line that has a slope of Three-fourths and passes through the point (3, –2). The student’s work is shown to the left. Examine the steps to determine whether the student made an error. The student made .
Answer:
The student made an error in step 3
Step-by-step explanation:
Answer:
The student made an error on C. Or step 3.
Step-by-step explanation:
Simplify the expression:
6V + 10 - V
Answer:
5V + 10
Step-by-step explanation:
Add the like terms.
-5v - 4
If you add the like terms this is what you get
pls help me i am confused on what to do
Answer:
x=20
Step-by-step explanation:
you cross multiply then divide. so multiply 8 and 30. you get 240. then you multiply 12 and x. you get 12x. so your new equation is 240=12x so then u divide 240 by 12 and you get 20=z
Answer:
X=20
Step-by-step explanation:
You solve by cross multiplying.
Simplify the slope of AC.
Answer:
1
Step-by-step explanation:
The slope of a line can be found by dividing the rise over the run, or how much the line rises over a certain amount of sideways movement. In this case, the line AC moves from (0,0) to (a,a), meaning that it rises and moves sideways the same amount. Since a/a=1, the slope of this line is 1. Hope this helps!
Answer:
1
Step-by-step explanation:
Point A is (0, 0) and Point C is (a, a).
The "rise" from A to C is a and the "run from A to C" is also 1.
Thus, the slope of line A is m = rise / run = 1 / 1 = 1.
(x-3)(x+5) the product
Answer:
x^2 +2x -15
Step-by-step explanation:
FOIL
(x-3)(x+5)
first x*x = x^2
outer 5x
inner -3x
last -3*5 = -15
Add them together
x^2 +5x-3x-15
Combine like terms
x^2 +2x -15
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade, without replacement?
A. 25/102
B.13/102
C.13/204
D.1/2
There are 52 cards in the deck.
Picking a spade would be 13/52 which reduces to 1/4
After the first card is picked there are 51 cards left, picking a club would be 13/51
Picking both would be 1/4 x 13/51 = 13/204
The answer is C.
Find the x intercepts?
Answer:
Step-by-step explanation:
hello : here is an solution
A box of chocolates contains five milk chocolates and six dark chocolates. Mike randomly picks a chocolate and eat it. Then Mike randomly picks another chocolate and eats it. Determine the probability Mike eats two milk chocolates. Round to the hundredths place.
Answer: 0.182
Step-by-step explanation:
For the first selection, the probability of picking a milk chocolate bar is equal to the number of milk chocolate bars divided the total number of bars, this is:
p1 = 5/(6 + 5) = 5/11
In the second selection we have the same equation, but now we have 4 milk chocolate bars (because one is alredy taken)
p2 = 4/(4 + 6) = 4/10
the joint probability is:
P = p1*p2 = (5/11)*(4/10) = 0.182
I need help pleaseeee
Answer:
Third side is 9m.
Step-by-step explanation:
In a right triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides.
15 x 15= 225m2
12 x 12 = 144m2
225 - 144 = 81m2 and the length of the third side is square root of 81, which would be 9m as your final answer.
Answer:
Follow the Pythagoreas theorm. You typically need to find [tex]C^2[/tex], which is the hypotonuse, but because we already know this, we can rearrange the equation to make sense.
Personally, I like to substitute with non-related numbers, such as 1 and 2. In the following example, the sides are 1 unit, 2 units, and 5 units. First, I like to figure out the sum of [tex]a^2[/tex] and [tex]b^2[/tex] .
EX: [tex]1^2+2^2= 5[/tex]
[tex]25^2=5[/tex]
I can rearrange this so that one leg and the hypotenuse are on the same side:
[tex]25^2-1^2=2^2[/tex]
Now I can take out the example numbers, and substiture in the variables.
[tex]c^2-a^2=b^2[/tex]
Now all I have to do is fill in the known variables!
[tex]15^2-12^2=b^2[/tex]
Solve!
[tex]225-144=80[/tex]
We're not done- we have to find the square root of 81!
It's 9m!
Finally, we can check our work by plugging [tex]A^2[/tex] and [tex]B^2[/tex] into the normal equation. It checks out!
[tex]12^{2} +9^{2} = 15^{2} \\=225 =225\\225=225[/tex]
Have questions? Let me know!
Please Help! ASAP! WIll give Brainliest
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
x/2 = 12.5/5
5 · x = 12.5 · 2
5x = 25
5x / 5 = 25 / 5
x = 5
Step-by-step explanation:
What is the solution of the systems of equations? Y=3x-4 and -3y=-9x+12
Answer: it has infinite solutions.
Step-by-step explanation:
[tex]y=3x-4\\-3y=-9x+12[/tex]
Plug y in the second equation.
[tex]-3y=-9x+12\\-3(3x-4)=-9x+12\\-9x+12=-9x+12\\-9x+9x=12-12\\0=0[/tex]
please help quickly !
Answer:2490-2312=w; w=178 so 178 pounds
Step-by-step explanation:
Answer:
hey!
Your answer is 178 pounds!!
Step-by-step explanation:
by doing 2490lb-2312lb gives us the value of w
soo w=178 pounds!!
HOPE THIS HELPS!!
A diver dives to 50 feet in 10 minutes, stays there for 30 minutes, and then resurfaces in 10 minutes. Click on the graph until the graph that best represents the given statement appears.
Answer:
50x5
Step-by-step explanation:
The question is an illustration of a distance-time graph.
From the question, we have the following highlights
The distance in the first 10 minutes is 50 feet. i.e. (10, 50)He stays at 50 feet for 30 minutes i.e. (40, 50)Then comes out after 10 minutes i.e. (50, 0)The graphs are not given, so I will attach the graph that represents the scenario.
See attachment for the graph that answers the question.
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