Answers
Answer: SA = 368
Step-by-step explanation:
Answer:
The surface area of the figure is 368[tex]in^{2}[/tex]
Step-by-step explanation:
To find the surface area of a rectangular prism you must know the formula.
A=2(wl+hl+hw)
Hope this helps!
Related Questions
There are 5 brown horses and 4 tan horses in a barn. Sonia will randomly select two horses to ride with her friend. What is the probability that
the first horse selected is tan and the second horse selected is brown?
20/81
5/18
2/9
1/20
Answers
Answer:
5/18
Step-by-step explanation:
The total number of horses present is 9
The probability that the first selected horse is tan is 4/9
So , now for the second choice , we are left with 8 total horses of which 5 is brown
The probability is 5/8
So the joint probability is the product of this two
That will be;
5/8 * 4/9 = 5/18
please can someone help me on this
Find the value of x that solves the system shown below. show the work that leads to your answer
y = 5x
2x - y = 18
thank you to anyone who helps !!!!
Answers
You plus in x as -6 and you already know that y=5x and you plug in x=-6
It should look like 2(-6)-5(-6)=18
A ball is thrown vertically with a velocity of18 m/s. It’s height, h, in meters above the ground after t seconds is given by the equation: h= -5t2+10t+35. Algebraically, determine the following.
Find The maximum height of the ball and the time it takes to reach that height
The time it takes the ball to hit the ground.
PLEASE HELP!
Answers
Answer:
Step-by-step explanation:
First of all, something is wrong with either the wording in the problem or the equation that you wrote; if the upward velocity is 18, we should see 18t in the equation, not 10t. I solved using 10t.
To find the max height of the ball and the time it took to get there, we need to complete the square on this quadratic and solve for the vertex. That will give us both of those answers in one!
To complete the square, set the quadratic equal to 0 and then move over the constant, like this:
[tex]-5t^2+10t=-35[/tex] The rule is that we have to have a 1 as the leading coefficient, and right now it's a -5, so we factor that out, leaving us with:
[tex]-5(t^2-2t)=-35[/tex] and now we are ready to begin the process to complete the square.
The rule is: take half the linear term, square it, and add it to both sides. Our linear term is a -2 (from the -2t); half of -2 is -1, and -1 squared is 1. We add in a one to both sides. BUT when we put the 1 into the set of parenthesis on the left, we didn't just add in a 1, we have that -5 out front that is a multiplier. That means that we actually added in a -5 after it's all said and done.
[tex]-5(t^2-2t+1)=-35-5[/tex] and we'll clean that up a bit. The right side is easy, that's a -40. The left side...not so much.
The reason we complete the square is to put this quadratic into vertex form. Completing the square creates a perfect square binomial on the left, which for us is, along with the simplification on the right:
[tex]-5(t-1)^2=-40[/tex]
Lastly, we move the -40 back over by adding and setting the quadratic back to equal y:
[tex]-5(t-1)^2+40=y[/tex] and we see that the vertex is (1, 40). That translates to a height of 40 meters at 1 second after launch. That's the vertex which, by definition, is the max or min of the parabola. Because our parabola is negative, the vertex for us is a max.
To find out how long it takes the ball to hit the ground, set the quadratic equal to 0 and factor however it is you are currently doing this in class. You can continue to factor from the vertex form we have the equation in if you'd like. Let's do that, since we are already most of the way there. Begin here:
[tex]-5(t-1)^2=-40[/tex] and divide both sides by -5 to get
[tex](t-1)^2=8[/tex] and take the square root of both sides to "undo" that squaring on the left:
t - 1 = ±√8. Now add 1 to both sides to isolate the t:
t = 1 ± √8. In decimal form:
t = 1 + √8 is 3.828 seconds and
t = 1 - √8 is -1.828 seconds.
Since we all know that time will NEVER be a negative value, the time it takes the ball to hit the ground is 3.828 seconds.
Solve this quadratic equation using the quadratic formula. 2x 2 - 2x = 1
Answers
Answer:
( 2 + √3 ) / 2, ( 2 - √3 ) / 2
Step-by-step explanation:
2x^2 - 2x = 1
2x^2 - 2x - 1 = 0
Here,
a = 2
b = - 2
c = - 1
D = b^2 - 4ac
D = ( - 2 )^2 - 4 ( 2 ) ( - 1 )
= 4 + 8
D = 12
x = - b ± √D / 2a
= - ( - 2 ) ± √12 / 2 ( 2 )
= 4 ± 2√3 / 4
= 2 ( 2 ± √3 ) / 4
= 2 ± √3 / 2
x = ( 2 + √3 ) / 2, ( 2 - √3 ) / 2
A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters. What is the length of the kitchen? If necessary, round to the nearest tenth.
Answers
Answer:
The length of the kitchen is 2.23 meters.
Step-by-step explanation:
Given that a mouse has made holes in opposite corners of a rectangular kitchen, and the width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters, the following calculation must be performed to determine what is the length of the kitchen, using the Pythagorean theorem:
Width = 2 meters
Hypotenuse = 3 meters
2 ^ 2 + X ^ 2 = 3 ^ 3
4 + X ^ 2 = 9
X ^ 2 = 9 - 4
X = √ 5
X = 2.236
Therefore, the length of the kitchen is 2.23 meters.
Si gasto el 90% de mis ahorros, me queda la decima parte de los que habia ahorrado?
Answers
Answer:
Si
Step-by-step explanation:
100% - 90% = 10%
10% = 0.10 = 1/10
Respuesta: Si
ASAP PEASEEE !!!!!!
Select the correct answer.
The average number of cars parked in parking lot A is given by the function A(x), where x is the number of hours since the lot opened. The average number of cars parked in parking lot B is given by the function B(x).
A(x) = 20log(x + 1) + 30
B(x) = 30log(x + 2) + 10
Which function, C(x), best describes the difference of the number of cars parked in parking lot A and parking lot B?
a) [tex]C(x)=\frac{log(x+1)^{20} }{log(x+2)^{30} } -20[/tex]
b) [tex]C(x)=log(\frac{(x+1)^{20} }{(x+2)^{30} }) -20[/tex]
c) [tex]C(x)=log(\frac{(x+1)^{20} }{(x+2)^{30} }) +20[/tex]
d) [tex]C(x)=\frac{log(x+1)^{20} }{log(x+2)^{30} } +20[/tex]
Answers
what is the answer to this problem[tex]\frac{5y-20}{3y+15} .\frac{7y+35}{10y+40}[/tex]
Answers
Answer:
7(y-4)
---------
6(y+4)
Step-by-step explanation:
5y-20 7y+35
------------ * ------------
3y+15 10y +40
Factor
5(y-4) 7(y+5)
-------- * -----------
3(y+5) 10(y+4)
Cancel like terms
(y-4) 7
-------- * -----------
3 2(y+4)
7(y-4)
---------
6(y+4)
To make a disinfecting solution, Alana mixes 2 cups of bleach with 5 cups of
water. What is the ratio of water to the total amount of disinfecting solution?
Answers
Answer:
Step-by-step explanation:
Ok
A ball is thrown into the air with an upward velocity of 36 ft/s. It’s height h in feet after t seconds is given by the function h = -16t^2 + 36t + 9. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the balls maximum height ?
Answers
Answer:
Time taken for the ball to hit the ground back = 3.08 s
Step-by-step explanation:
h(t)= -16t² + 48t + 4
when will rhe object come back to hit rhe ground?
When the ball is at the level.of the ground, h(t) = 0.
0 = -16t² + 48t + 4
-16t² + 48t + 4 = 0
Solving the quadratic equation
t = 3.08 s or t = -0.08 s
Since the time cannot be negative,
Time taken for the ball to hit the ground back = 3.08 s
Hope this Helps!!!
Step-by-step explanation:
Help please i will give brainliest
Answers
Answer:
48
Step-by-step explanation:
To find how many 1/3 cm length cubes fill the prism, we first need to find the volume, which is equal to
length * width * height = 1 cm * (2 + 2/3) cm * (2/3) cm
= 1 cm * (6/3 + 2/3) cm * (2/3) cm
= 1 cm * (8/3) cm * (2/3) cm
= (8/3) cm ² * (2/3) cm
= (16/9) cm³
Therefore, the volume is 16/9 cm³.
Next, one cube with side lengths of 1/3 has a volume of ((1/3) cm)³ = (1/27)³
We thus need to find how many of 1/27 goes into 16/9
If we multiply 16/9 by 1=3/3 (as 9*3=27), we can equalize the bases, making 16/9 = 48/27
All that's left is to figure out how many times 1/27 goes into 48/27, which is equal to (48/27)/(1/27) = 48
Find AC, given that line AD is the perpendicular bisector of BC
Answers
Answer:
wouldn’t it just be 21? because both are the same but mirrored
Lucia gave Brenda half of the cash she had in the store counter at the end of the day. Brenda put the money in her purse and added one half of the amount she had from her own savings. Brenda had saved half of what Lucia earned in the store that day. Brenda took her purse and went to the dog shelter and brought food and treat packet for 5 dogs. Each packet cost her $15. How much money did Lucia earn at the store that day?
Answers
Answer:
$100
Step-by-step explanation:
The amount Lucia gave Brenda = Half the amount in the store counter
The amount Brenda added to the money Lucia gave her = Half the amount in her (Brenda) savings
The amount Brenda had saved = Half of the amount Lucia earned in the store that day
The number of food and treat packets Brenda bought = 5
The cost of each packet = $15
Let x represent the amount Lucia earned and let y represent the amount Brenda saved
We have;
x/2 = y
x/2 + y/2 = 15 × 5 = 75
Therefore, we get;
y + y/2 = 75
(3/2)·y = 75
y = 75 × 2/3 = 50
y = 50
From x/2 = y, we have;
x/2 = 50
x = 2 × 50 = 100
The amount Lucia earned in her store that day, x = $100
S is the centroid of the triangle. Find IT if ST= 9
Answers
Answer:
IT = 13.5
Step-by-step explanation:
Recall: According to the Centroid theorem the Centroid of is ⅔ of the distance of the vertex of the triangle to the midpoint of the opposite side.
This means that:
ST = ⅔(IT)
ST = 9 (given)
Substitute
9 = ⅔(IT)
Multiply both sides by 3
3*9 = 2(IT)
27 = 2(IT)
Divide both sides by 2
27/2 = IT
IT = 13.5
2cm + 5cm + 6.4cm cuboid
Answers
Answer:
64 volume of the cuboid
formula used is lbh multiplies together.
Mark me as brainliest
Hope it helps:)
Step-by-step explanation:
what is x(2)+y(6) if x=4 and y=(-4)
Also, can anyone just talk?
Answers
Answer:
-16
Step-by-step explanation:
Follow . PEMDAS
plug the numbers in
4*2 =8 and -4*6=24
add both...
-16.
Step-by-step explanation:
4(2)+(-4)(6)
8-24
-16
hope it helps..
If you roll a standard number cube 42 times, how many times do you expect the cube to show a five?
Round your answer to the nearest whole number if needed.
Answers
Answer:
5
Step-by-step explanation:
this is probability
probability of 5 occuring once is = 5/42=0.119
therefore, probability of 5 occuring in 42 times is;
42 x 0.119=4.998
approximately 5
Someone please help me!! I don’t know the answer!!
Answers
Answer:
Step-by-step explanation:
Remark
The measurement of the arc is 3Pi
that represents 108 / 360 of the circle.
Equation
108/350 2 * pi * R = 3* pi
Solution
Pi is on both sides of the equation. They both cancel.
108/360 = 0.3
0.3 * 2 * R = 3
0.6 * R = 3
R = 3/0.6
R = 5
dididjdjdjdhjdjdh < so that i could answer
I’m horrible at math and I need to study for the TSI. Help? 4/5+1/10+5/6
Answers
Answer:
4 ÷ 5 + 1 ÷ 10 + 5 ÷ 6 = 1.733
Step-by-step explanation:
One thing you can do is make the denominator equal.
4/5(2/2) + 1/10 = 8/10+1/10 = 9/10
9/10 +5/6
Or you could cross multiply, by multiplying the denominator with the opposite numerator (this is the numerator) then multiply the denominator ( this is the denominator)
(6(9)+5(10))/6(10) = 104/60 then simplify to 26/15
Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple
flowering plants sell for $5. How many pink flowering plants did Arianna buy?
Answers
Answer:
Arianna bought 7 pink flowering plants.
Step-by-step explanation:
Variable x = number of pink plants
Variable y = number of purple plants
Set up a system of equations:
x + y = 15
8x + 5y = 96
Isolate variable y (I will solve using substitution):
x + y = 15
y = 15 - x
Substitute the value of y in the second equation:
8x + 5(15 - x) = 96
Use distributive property:
8x + 75 - 5x = 96
Combine like terms:
3x + 75 = 96
Isolate variable x:
3x = 21
x = 7
The scatter plot shows the number of cars and trucks sold by 10 different employees at a car and truck dealership during a month.
How many employees sold more cars than trucks?
Enter your answer in the box.
Answers
Answer:
3 employees
Step-by-step explanation:
The best way to obtain a solution is to note the coordinate if each point on the scatter plot :
Where, the x - axis represents the number of cars sold and y - axis represents the number of trucks sold.
So, the number of employees that sold more cars than trucks exists where the x - axis value is greater than its corresponding y-axis value.
The scatter plot points : (2,4) (4,3) (3,7) (3,9) (4,8) (5,6) (5,7) (6,6) (9,0) and (10,1)
Points where x-axis > y-axis with each coordinate representing an employee :
(4,3) ; (9,0) and (10,1) = 3 employees.
*** SOMEBODY HELP ME**
Point p is the circumcenter ABC. Point p is the point of concurrency of the perpendicular bisector. Find AS
Answers
Answer:
AS = 46
Step-by-step explanation:
The circumcentre is equally distant from the triangle' s 3 vertices , then
AS = BS = 46
how to solve (n^(3)+3n^(2)+3n+28)-:(n+4) in long polynomial division?
Answers
Answer:
Open the image. (Hope you don't mind about bad writing)
Express 34C21 as a sum of two terms from pascals triangle.
Answers
Given:
The combination is:
[tex]^{34}C_{21}[/tex]
To find:
The [tex]^{34}C_{21}[/tex] as the sum of two terms from pascals triangle.
Solution:
According to the pascals triangle:
[tex]^{n+1}C_{r+1}=^nC_r+^nC_{r+1}[/tex]
We have,
[tex]^{34}C_{21}[/tex]
Using the pascals triangle formula, we get
[tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex]
Therefore, [tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex].
b) 5(2x - 4)
Expand the following
Answers
Answer:
10x-20
Step-by-step explanation:
(5×2x)-(5×4)
10x-20
Two runners started to run in the same direction at the same time. The speed of the first runner is 8 mph, and the speed of the second runner is 9.6 mph. What is the distance between them after 5 hours?
Answers
Answer:
8 miles
Step-by-step explanation:
9.6-8=1.6
1.6 times 5 equals 8 miles
It should be noted that after 5 hours, the distance between the two runners will be 8 miles.
How to calculate the distanceDistance = Speed × Time
For the first runner:
Distance covered by the first runner = Speed of the first runner × Time
= 8 mph × 5 hours
= 40 miles
For the second runner:
Distance covered by the second runner = Speed of the second runner × Time
= 9.6 mph × 5 hours
= 48 miles
Since both runners are running in the same direction, we subtract the distance covered by the first runner from the distance covered by the second runner to find the distance between them:
Distance between the runners after 5 hours = Distance covered by the second runner - Distance covered by the first runner
= 48 miles - 40 miles
= 8 miles
Learn more about distance
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1 by 8 of the passenger of a train where children is there where 40 children traveling in the train on a Saturday how many Abbott were there in that that day?
Answers
Answer:
200 adults
Step-by-step explanation:
1/8 of the passengers (children) is 40
Total passengers in the train is 8/8
Therefore to get the total number of passengers is given by
(8/8) × 40 × (8/1)
= 240 passengers
Adults in the train = Passengers - Children
= 240 - 40
= 200 adults
An auto dealership sells minivans and sedans. In January, they sold 10 minivans and 20 sedans. In February, they sold 7 minivans and 14 sedans. During which month did the auto dealership sell a lower ratio of minivans to sedans?
Answers
Answer:
january = 10/20 = 1/2
februry = 7/14 = 1/2
so, we conclude that the auto dealership didn't have a lower ratio, since the ratio is equal in both months.
hope it helps :)
If you have four quarters and three nickles how much money do you have
Answers
Answer:
$1.15
Step-by-step explanation:
Answer:
1.15
Step-by-step explanation:
One quarter equals .25
One nickle equals .05
Add
0.25+0.25+0.25+0.25+0.05+0.05+0.05
^ ^ ^ ^
1.00 + 0.05+0.05+0.05
^ ^ ^
0.15
1.00 + 0.15 =
1.15
Hope this helped.
what is the prime factorization of 252 using exponents? -
Answers
Answer:
Step-by-step explanation:
252 = 2 * 126
= 2 * 2 * 63
= 2 * 2 * 3 * 21
= 2 * 2 * 3 * 3 * 7
= 2² * 3² * 7
Answer:
2^2 x 3^2 x 7
Step-by-step explanation:
2----252
2---- 126
3----- 63
3------ 21
7------ 7
1
2x2x3x3x7
In expotential form = 2^2 x 3^2 x 7
