girlll i need that answer to
You are designing an aquarium for your new office. The dimensions of the aquarium are
restricted as shown in the diagram. You need the aquarium to hold 8820 cubic inches of
water. What is the shortest possible height (in inches) of the aquarium?
The shortest possible height of the aquarium is given as follows:
18 inches.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The dimensions for this problem are given as follows:
h = w + 4, w and 49 - w.
Hence the equation for the volume is given as follows:
w(w + 4)(49 - w) = 8820
w³ - 45w² - 196w + 8820 = 0.
Inserting the equation into a cubic equation calculator, the smallest value of w is:
w = 14.
Hence the smallest height is of:
w + 4 = 18 inches.
Missing InformationThe aquarium is given by the image presented at the end of the answer.
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If I don't read carefully, I often make mistakes on my work.
compound complex
sentence
compound sentence
simple sentence
complex sentence
Answer:
compound sentence
Step-by-step explanation:
in a _____ sequence, the ratio between consecutive terms is constant.
Answer:
Geometric.
Step-by-step explanation:
For example
2, 4, 8, 16
where the common ratio is 4/2 = 8/4 = 16/8 = 2.
please solve
thankyou in advance x
Answer:
For the first one,
x=6 and y=16
Step-by-step explanation:
If I think of any more then I will tell you
does the letter v contain a corresponding angle?
50 POINTS!!!!
A statue is in the shape of a triangular pyramid. The area of the base of the statue is 18 square inches and it has a height of 15 inches. What is the volume of the statue in cubic inches? 60 in.3 90 in.3 270 in.3 540 in.3? Thanks!~
Answer:
90 cubic inches
Step-by-step explanation:
V = 1/3 · area of base · height
V = 1/3 · 18 · 15
V = 6 · 15
V = 90
Answer:
if your online school is tops its a hundred percent 90 inch^3
Step-by-step explanation:
What time is it for y'all for me, it's 12:06am-midnight any of you guys times different
Answer:
4 am for me you probably live somewhere in america though
The expression 9a + 7c gives the cost (in dollars) for a adults and c children to eat at a buffet restaurant.
a. The cost for 1 adult is?
The cost for 1 child is?
b. The total cost for 1 adult and 3 children is?
c. Is $30 enough for a family of 2 adults and 2 children to eat at the buffet?
Answer:
a. $16
b. $30
c. for 2 adults and 2 children it is $32, so they are $2 short.
Step-by-step explanation:
i hope this helps :)
its easy dont let the point scare you
Answer:
The point is scaring me
Step-by-step explanation:
suppose the number of cell phone calls made or received per day by cell phone users follows a normal distribution with a mean of 13.1 and a standard deviation of 4.3. use this information to answer questions 6 - 9.
The probability that a cell phone user makes or receives less than 12 calls per day is 0.3971.
What is probability that user makes or receives less than 12 calls?To find P(x < 12), we need to standardize the value of 12 using the formula: z = (x - μ) / σ where z = z-score, x = value of interest, μ = mean, and σ = standard deviation.
Substituting the values, we get:
z = (12 - 13.1) / 4.3
z = -0.25581
Using a calculator, we can find the probability that z is less than -0.25581, which is:
P(z < -0.25581) = 0.3971
P(z < -0.25581) = 39.71%.
Full question "Suppose the number of cell phone calls made or received per day by cell phone users follows a normal distribution with a mean of 13.1 and a standard deviation of 4.3. Find P (x <12)".
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Find a description this equation represents. Of the numbers 1, 2, 3, 4, and 5, which are solutions to the equation? 4x+6=18
A. If you add four to six times a number, you get 18.
B. Four more than six times a number is 18.
C. If you add six to four times a number, you get 18.
D. Six more than four times a number is 18.
E. Six less than four times a number is 18.
F. Four less than six times a number is 18.
G. If you add six times a number to four, you get 18.
H. If you subtract six from four times a number, you get 18.
Answer:
A______________________________
PLS HELP THIS PROGRAM IS UNNECESSARY
Answer: -32.00
Step-by-step explanation:
Answer:
A) -32.00
Step-by-step explanation:
-32.00 would be more debt than -25
Helping in the name of Jesus.
* Evaluate the following expression
3(4 + 2k)
Answer:
12+6K
Step-by-step explanation:
3(4+2k)
removing bracket
3×2+2×2k
12+6k
***CORRECT ANSWER CAN BECOME BRAINLIEST***
Solve -5x^2 = -25 using any method. Round your solutions to the nearest hundredth.
The solutions are x ≈ ___ x ≈ ___
AND
What is the most efficient method for solving this equation?
The most efficient method is ____,
1. Factoring
2. Completing the square
3. Using the Quadratic Formula
AND
.....because the equation _____.
1. Can be written in the form x^2 = d.
2. has a perfect square trinomial on its left side.
3. Is not easily factorable and a ≠ 1
4 Is not easily factorable, but a = 1 and b is even.
4. Is easily factorable.
Answer:
The most efficient method is completing the square because the equation can be written in the form \(x^2 - d\)
x ~ 2.24
x ~ -2.24
Step-by-step explanation:
Solve the equation using any method that is efficient. The most efficient method is completing the square, because the equation can be written in the form \(x^2 - d\). Use this method to solve the problem, since the equation is already in the format, \(x^2 - d\), all one has to use is inverse operations to solve the equation.
\(-5x^2 = -25\\/-5\\\\x^2 = 5\\\sqrt{}\\\\x = +- \sqrt{5}\)
x ~ 2.24
x ~ -2.24
Write the equation of this function in the form y=x+b X 0 4 12 у 6 10 18
Step1: Pick 2 points in the table:
(0,6) and (4,10)
Step2: Recall the formula for the slope of a line.
\(\text{Slope =}\frac{y_2-y_1}{x_2-x_1}\)Step3: Substitute the values of the coordinates in the above formula.
\(\begin{gathered} (0,6)\Rightarrow x_1=0;y_1=6 \\ (4,10)\Rightarrow x_2=4;y_2=10 \end{gathered}\)Step4:
\(\text{Slope =}\frac{10-6}{4-0}=\frac{4}{4}=1\)Step5: Invoke the formula for the equation of the line.
\(\begin{gathered} y-y_1=slope(x-x_1) \\ y-6=1(x-0) \\ y-6=x \\ y=x+6 \end{gathered}\)Hence, the correct answer is y = x + 6
Determine the finance charge on an $8,000 loan with a monthly payment of $162.80 for 60 months. a. $29.47 b. $162.80 c. $1,768.00 d. $9,768.00 please select the best answer from the choices provided a b c d
Answer:
C. 1,768
Step-by-step explanation:
162.8 times 60 equals 9,768
9,768 minus 1,768 is 8000
3x + 12+ 9x - 72
Solve?
Answer:
12x - 60
Step-by-step explanation:
\(3x+12+9x-72\\=3x+9x+12-72\\=12x+12-72\\=12x-60\)
5a) Determine the measure of each unknown angle
Answer:
Step-by-step explanation:
25, i think
A flagpole casts a shadow of 25.5 meters long. Tim stands at a distance of 15.4 meters from the base of the flagpole, such that the end of Tim's shadow meets the end of the flagpole's shadow. If Tim is 2.3 meters tall, determine and state the height of the flagpole to the nearest tenth of a meter.
Answer:
5.8 meters
Step-by-step explanation:
The formula to calculate this is given as:
Height/ Shadow
Shadow of the pole = 25.5 m
Height of the pole = x m
Tim's shadow = Height of the pole - Tim's distance
25.5 m - 15.4 m = 10.1 m
Tim's height = 2.3 m
Hence:
x/25.5 = 2.3/10.1
Cross Multiply
10.1x = 25.5 × 2.3
x = 25.5 × 2.3/10.1
x = 5.8069306931 m
Approximately = 5.8m
Hence, the height of the flagpole = 5.8m
Describe all solutions of Ax = b, where A = [3 5 -4 -3 -2 4 6 1 -8]Describe the general solution in parametric vector form.
The general solution of Ax = b, where A = [3 5 -4; -3 -2 4; 6 1 -8], is given by the vector:
x = (2z - 1), y = (-2z + 3), z = z
The solution can be expressed in parametric vector form as:
[x; y; z] = [2z - 1; -2z + 3; z] = z[2; -2; 1] + [-1; 3; 0]
where [2; -2; 1] is the direction vector of the line of solutions and [-1; 3; 0] is a particular solution.
To describe all solutions of Ax = b, we need to solve the system of linear equations given by the matrix equation, where A = [3 5 -4; -3 -2 4; 6 1 -8] and b is a given vector.
We can start by forming the augmented matrix [A|b] and row reducing to obtain the reduced row echelon form:
1 0 -2 | -1
0 1 2 | 3
0 0 0 | 0
The last row corresponds to the equation 0x + 0y + 0z = 0, which simplifies to 0 = 0. This equation is always true and does not provide any additional information about the variables x, y, and z.
The first two rows correspond to the equations x - 2z = -1 and y + 2z = 3. We can solve for the variables in terms of the free variable z by adding 2z to both sides:
x = 2z - 1
y = -2z + 3
Therefore, the general solution of Ax = b is given by the vector:
x = (2z - 1)
y = (-2z + 3)
z = z
We can express this in parametric vector form as:
[x; y; z] = [2z - 1; -2z + 3; z] = z[2; -2; 1] + [-1; 3; 0]
where [2; -2; 1] is the direction vector of the line of solutions and [-1; 3; 0] is a particular solution. This means that any solution of Ax = b can be obtained by taking a scalar multiple of the direction vector and adding it to the particular solution.
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Help me with this!!! Fake answers will get reported
Answer:
Step-by-step explanation:
there is an obscure rule that looks like this
DB/AB = AB/CB
AB=40 for this problem
DB = x
CB = 20
then
X/40 = 40/20
X = 40(40/20)
X = 40(2)
X=80
I find that hard to believe too, :D
but the rule says that's right
Evaluate each expression for the given value of the variable. 4(x-4);x=7
Answer:
(28-16)
Step-by-step explanation:
x=7
4x-16
If x is 7
then it is 4x7 = 28
Therefore we can say 28-16 is our final answer.
Thank you.
A boat is heading towards a lighthouse, whose beacon-light is 121 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
13°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 19°. Find the distance from point A to point B.
Round your answer to the nearest foot if necessary.
Using the trignometry functions we now know that the distance from point A to point B is 1,156.1 ft.
What is the distance?Distance is the sum of an object's movements, regardless of orientation.
Distance can be defined as the amount of space an object has covered, regardless of its beginning or ending point.
A scalar number, distance.
The entire path that an object has taken can be used to determine distance.
The entire distance travelled by a car, for instance, would be 13 km if it traveled 5 km east, 8 km north, and back again.
So, the distance from point A to B would be:
Considering the flat planet -
tan5 = 131 / d₁
d₁ = 131/tan5 = 1,497.3368... ft
d₂ = 131/tan21 = 341.2666674...ft
Distance:
1497.3368 - 341.26666 = 1,156.1 ft
Therefore, using the trignometry functions we now know that the distance from point A to point B is 1,156.1 ft.
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Correct question:
A boat is heading towards a lighthouse, whose beacon light is 131 feet above the water. From point A, the boat's crew measures the angle of elevation to the beacon, 5°, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 21°. Find the distance from point A to point B. Round your answer to the nearest tenth of a foot if necessary.
Please help me this test is due tmr and I’ve been stuck on this question for 2 days
Jack will have $332 after 5 years
How to calculate how much Jack will have?
The formula for compound interest is:
A = P (1 + r/n)^(nt)
where:
A = the future value of the investment, including interest
P = the principal investment amount
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested/borrowed for
r = 2% = 0.02, P = $300, n = 12 (12 times in a year), t = 5 years
A = P (1 + r/n)^(nt)
A = 300 (1 + 0.02/12)^(12*5)
A = 300 (1 + 0.02/12)^(60)
A = $332
Thus, Jack will have $331.52 after 5 years
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What is the formula to find P(A) for a series of simple events (ex: tossing a coin and selecting a number at the same time)
The probability of event A is P(A) = 1/4 or 0.25.
The formula to find P(A) for a series of simple events is:
P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)
For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:
- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.
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nina is traveling to Canada and will change $350 dollars into Canadian dollars at the currents exchange rate $1 is equal to $1.27 Canadian. how many Canadian dollars will she get for her tip?
nina will get _____ Canadian dollars.
Answer:
444.5
Step-by-step explanation:
Multiply the amount of money being exchanged to the exchange rate, in which is $350 to $1.27. Multiply them and you will get your answer.
Answer:
$444.50
Step-by-step explanation:
This is the ratio from American currency to Canadian currency
Whitney and Nicholas hung out at the mall on Saturday. They spent 40 minutes shopping for clothes and 1 hour and 40 minutes at the food court. Then they spent 1 hour and 10 minutes at the video arcade before heading home. If it was 10:45 A.M. when Whitney and Nicholas started shopping for clothes, what time was it when they left the mall?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Therefore, they left the mall at time 2:15 P.M.
What is time?Time is a concept used to measure and understand the duration of events and the sequence in which they occur. It is an abstract concept that helps us organize and make sense of our experiences and the world around us.
Given by the question.
Whitney and Nicholas spent a total of 40 minutes + 1 hour and 40 minutes + 1 hour and 10 minutes = 3 hours and 30 minutes at the mall. If they started shopping for clothes at 10:45 A.M. and spent 3 hours and 30 minutes at the mall, then they left the mall 3 hours and 30 minutes later, at 2:15 P.M.
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ON SATURDAY MORNINGS FROM 9:00 UNTIL NOON, BRENT WATCHES A GROUP OF PRESCHOOLERS WHILE THEIR PARENTS WORK OUT IN THE GYM. BRENT EARNS $7.25 PER HOUR PLUS $1.00 PER CHILD. TODAY THERE ARE 7 CHILDREN…HOW MUCH WILL BRENT EARN? SHOW YOUR WORK IN THE SOLUTION BOX AND CIRCLE YOUR FINAL ANSWER. PLACE IN THE BASKET WHEN FINISHED.
After conducting some mathematical operations, we know that Brent earned $28.75.
What are mathematical operations??A mathematical function known as an operation converts zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.The order of operations refers to the rules that define the sequence in which we should perform the operations necessary to solve an expression.Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).So, the amount Brent will earn when there are 7 children:
Brent earns $7.25 per hour and he watched kids from 9:00 am to noon which is 3 hours.
$7.25 × 3 = $21.75He earns $1 per child and there are 7 children present, then:
7 × 1 = $7Total amount he earned: $21.75 + $7 = $28.75
Therefore, after conducting some mathematical operations, we know that Brent earned $28.75.
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The correct question is given below;
ON SATURDAY MORNINGS FROM 9:00 UNTIL NOON, BRENT WATCHES A GROUP OF PRESCHOOLERS WHILE THEIR PARENTS WORK OUT IN THE GYM. BRENT EARNS $7.25 PER HOUR PLUS $1.00 PER CHILD. TODAY THERE ARE 7 CHILDREN…HOW MUCH WILL BRENT EARN?
chase and emily are buying stools for their patio. they are deciding between 3 33 heights (table height, bar height, and xl height) and 3 33 colors (brown, white, and black). they each created a display to represent the sample space of randomly picking a height and a color. whose display correctly represents the sample space?
Answer: 169
Step-by-step explanation:
When y=8, the value of y2−4 is