The capacity or volume of the rectangular water tank is 100000 cm³.
How to find the volume(capacity) of a water tank?volume of a rectangular water tank = base area × height
where
base area = lwTherefore,
base area = 1000 cm²
height = 100 cm
Therefore,
capacity(volume) of the water tank = 1000 × 100 = 100000 cm³
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the sharks are fed three times a day. During the morning feeding, 2/15 of a ton of fish is fed. During the afternoon feeding, the weight of the fish fed will be 1/15 of a ton more than the fish fed during the morning. If the total weight of fish fed in a day is 1/2 of a ton, how much is fed during the feeding at night?
Fish fed during night is equal to 1/6 tons
Let the weight of the fish fed at night = X tons
In the morning, the weight of the fish fed Wm = 2/15 tons.
In the afternoon, 1/15 ton more fish fed during the morning.
∴ Weight of fish fed in afternoon Wa
= 2/15 + 1/15
= 3/15 tons
Given that,
What is the total weight?Wm + Wa + Wn = 1/2 tons
∴ 2/15 + 3/15 + Wn = 1/2
∴Wn = 1/2 - 5/15
∴ Wn = 3/6 - 2/6
∴ Wn = 1/6 tons
Fish fed during night = 1/6 tons.
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The following scatter plot shows the data for NCAA quarterbacks comparing their attempted passes to completed passes.
Draw in the line of best fit/ trend line!
Hint: A line of best fit follows the pattern of the data and is in the middle of the points.
The line of the best fit is shown in the picture which is approximate near the dots.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
The slope and y-intercept can be found using the formula below:
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have a given a scatter plot shows the data for NCAA quarterbacks comparing their attempted passes to completed passes.
We can draw a line of best fit y = mx + c
Thus, the line of the best fit is shown in the picture which is approximate near the dots.
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A bag contained $24.20 worth of coins. There were 20-cent and 50-cent coins only. The number of 20-cent coins was 5 fewer than the number of 50-cent coins. How many coins were there in the bag
Answer:
Their will be 2 coins in allThere were 67 coins in the bag, 36 of which were 50-cent coins and 31 of which were 20-cent coins.
Let x be the number of 50-cent coins in the bag,
And y be the number of 20-cent coins.
From the problem,
we know that y = x - 5,
Since there were 5 fewer 20-cent coins than 50-cent coins.
We can also set up an equation for the total value of the coins in the bag,
⇒ 0.5x + 0.2y = 24.20
Now we can substitute y = x - 5 into the equation,
⇒ 0.5x + 0.2(x - 5) = 24.20
Simplifying, we get,
⇒ 0.7x - 1 = 24.20
⇒ 0.7x = 25.20
⇒ x = 36
So there were 36 50-cent coins in the bag.
Using y = x - 5,
We can find that there were 31 20-cent coins.
Therefore, there were a total of 67 coins in the bag (36 + 31 = 67).
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a) A market researcher investigating consumers' preference for three brands of beverages namely coffee, tea and cocoa, in Ongata town gathered the following information: From a sample of 800 consumers, 230 took coffee, 245 took tea and 325 took cocoa, 30 took all the three beverages, 70 took coffee and cocoa, 110 took coffee only, 185 took cocon only. Required: Present the above information in a Venn Diagram. The number of customers who took tea only. (4 marks) (2 marks) (0) (2 marks) iv) The number of customers who took coffee and tea only. The number of customers who took tea and cocoa only. The number of customers who took none of the beverages. (2 marks) 1) (2 marks)
The sample of 800 consumers, 230 took coffee, 245 took tea and 325 took cocoa are shown in the picture by the Venn diagram.
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
We have:
From a sample of 800 consumers, 230 took coffee, 245 took tea and 325 took cocoa, 30 took all the three beverages, 70 took coffee and cocoa, 110 took coffee only, and 185 took cocoon only.
We can represent the above data by the Venn diagram as shown in the picture.
From the Venn diagram:
The number of customers who took none of the beverages
= 800 - 580 = 220
The number of customers who took tea only = 95
The number of customers who took tea and cocoa only = 70
The number of customers who took tea and coffee only = 50
The number of customers who took none of the beverages = 220
Thus, in the sample of 800 consumers, 230 took coffee, 245 took tea and 325 took cocoa are shown in the picture by the Venn diagram.
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Which functions are one to one ? The mapping diagram or the set of ordered pairs
The functions that are one to one are the set of ordered pairs.
What are the set of ordered pairs?It should be noted that the set of ordered pairs simply means an object that the pairs are significant.
On the other hand, a mapping diagram simply consists of two parallel columns that represents the domain and the range.
In this case, the functions that are one to one are the set of ordered pairs.
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Write an expression to describe the
situation.
A car travels 50 miles per hour, h. What expression
represents the total distance you've traveled?
Answer:
m = 50h, where m is the distance traveled in miles
The tables show the cost (in dollars) of colored pencils at two stores. Brendan says that the school store offers a better deal than the corner store. Which statement is correct? A. Brendan is right. B. Brendan is wrong because both stores offer the same deal. C. Brendan is wrong because you cannot compare the offers. D. Brendan is wrong because the corner store offers a better deal than the school store.
Answer:
B
Step-by-step explanation:
I got it right on the test
Answer:
B
Step-by-step explanation:
4gal. 2qt - 3gal. 3qt=
I really need help with this please. I would really appreciate it
Answer:
0.75gal.
Step-by-step explanation:
(4gal.) (2qt) - (3gal.) (3qt) =
the easiest way to solve this would be get everything in the same units,
lets make the qt to gallons
2qt = 0.5gal divide the volume value by 4
3qt = 0.75gal
(4gal.) + (0.5gal.) - (3gal.) + (0.75gal.)
= (4.5gal.) - (3.75gal.)
= 0.75gal.
PLEASE HELP!!! 25 POINTS!!!
Which number line represents the solution set for the inequality 2x-62 6(x-2) + 8?
-1.5 -1
-0.5
0
0.5
1
1.5
-1.5 -1
-0.5
0
0.5
1
1.5
-1.5
-1 -0.5
0.5
1.5
-1.5
-1
-0.5
0.5
1.5
Mark this and return
04
O
0
O
1
Save and Exit
Next
Submit
The correct number line which represents the solution set for the inequality is shown in option 2.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
Inequality is,
⇒ 2x - 6 ≥ 6 (x - 2) + 8
Now, We cam simplify as;
⇒ 2x - 6 ≥ 6 (x - 2) + 8
⇒ 2x - 6 ≥ 6x - 12 + 8
⇒ 2x - 6x ≥ - 12 + 8 + 6
⇒ - 4x ≥ 2
⇒ 4x ≤ - 2
⇒ x ≤ - 1/2
⇒ x ≤ - 0.5
Hence, The correct number line which represents the solution set for the inequality is shown in option 2.
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4n² +7n=0 what do I do if there is no part c?
Answer:
Find the coefficients using ax^2 + bx + c = 0a = 4
b = 7
c = 0
Make the coefficient equal 1. But how do we do that? Division.4n² + 7n = 0
4/4n² + 7n/4 = 0/4
Simplify= n² + 7/4n = 0
a = 1
b = 7/4
c = 0
Complete the square using b/2².b = 7/4
(b/2)² = (7/4 ÷ 2)²
Use fraction rule.
7/4 ÷ 2² = 7/4² / 2²
square the numbers
7/4² / 2² = 49/16 ÷ 4
49/16 ÷ 4 = 49/16 × 1/4
49/16 × 1/4 = 49/64
Add to both sides of the equation using 49/64
b = 7/4
b/2 = 7/4 ÷ 2
simplify
b/2 = 7 ÷ (4 × 2)
simplify(arithmetic)
b/2 = 7/8
n² + 7/4n + 49/64 = 49/64
(n + 7/8)² = 49/64
Solve for the unknown x[tex](n+\frac{7}{8})^2=\frac{49}{64}\\\sqrt{(n+\frac{7}{8})^2}=\sqrt{\frac{49}{64}}\\[/tex]
Next, cancel out the square on the left side.
[tex]n+\frac{7}{8}=+/-\sqrt{\frac{49}{64}}[/tex]
Subtract 7/8 from both of the sides.
[tex]n+\frac{7}{8}-\frac{7}{8}=-\frac{7}{8}+/-\sqrt{\frac{49}{64}}[/tex]
Simplify the left side.
[tex]n=-\frac{7}{8}+/-\sqrt{\frac{49}{64}}\\n=-\frac{7}{8}+/-\frac{\sqrt{49}}{\sqrt{64}}\\n=-\frac{7}{8}+/-\frac{7}{8}\\n_1=0\\n_2=-\frac{7}{4}[/tex]
That wraps it up for this equation. Hope it helped!
In a class test(3+) marks are given for every correct answer and (-2) marks are given for every incorrect answer (-2) marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored 20 marks. If she got 12 correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores -5 marks in this test, though she has got 7 correct answers.How many questions has she attempted incorrectly?
Radhika attempted 8 questions incorrectly, while Mohini attempted 13 questions incorrectly.
The number of Radhika's incorrect attemptThe given parameters are:
Correct = +3
Wrong = -2
Let the correct attempt be x and the incorrect attempt be y.
The equation that represents the total score is:
Total = 3x - 2y
She scored a total of 20.
So, we have:
3x - 2y = 20
She got 12 correctly.
So, we have:
3 * 12 - 2y = 20
Evaluate the product
36 - 2y = 20
Subtract 36 from both sides
-2y = -16
Divide by -2
y = 8
Hence, Radhika attempted 8 questions incorrectly.
The number of Mohini's incorrect attemptIn (a), we have the equation that represents the total score is:
Total = 3x - 2y
She scored a total of -5
So, we have:
3x - 2y = -5
She got 7 correctly.
So, we have:
3 * 7 - 2y = -5
Evaluate the product
21 - 2y = -5
Subtract 21 from both sides
-2y = -26
Divide by -2
y = 13
Hence, Mohini attempted 13 questions incorrectly.
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-5(x+2)=-4x-12-x+2
3x-4+2x=5(x-4)
5(x+7)=-5(x-7)
6x+2-x=-2x-2+7x
Which equation has infinitely many solutions?
Answer:
−5(x+2)=−4x−12−x+2
Step-by-step explanation:
1) −5(x+2)=−4x−12−x+2
−5x−10=−4−10−x
-5x= -5x
0=0
so, it is true for all values
Express GHD80.00 as a percentage of GHD320.00
Answer:
If using a calculator, you can calculate one number as a percentage of another by dividing the numbers and multiplying by 100.
Step-by-step explanation:
Answer to this math question?
Answer:
Option 4
Step-by-step explanation:
Volume of Cone:h = x units
diameter = x units
r = (x/2) units
[tex]\sf \boxed{\text{ \bf Volume of cone = $\dfrac{1}{3} \pi r^2h$}}[/tex]
[tex]\sf =\dfrac{1}{3}*\pi * (\dfrac{x}{2})^2*x\\\\=\dfrac{1}{3}*\pi*\dfrac{x^2}{4}*x\\\\=\dfrac{1}{12}\pi x^3[/tex]
The linear equation y = 35x describes how far from home Deena is as she drives from San Francisco to Dawson. Let x represent the number of hours and y represent the number of miles. How far from home is Deena in 12 hours? Graph the equation and tell whether it is linear.
Deena is 420 miles from home in 12 hours.
The graph is shown below. The graph is linear
Solving linear equationsFrom the question, we are to determine how far Deena is from home in 12 hours
From the given linear equation,
y = 35x
We are to determine how far Deena is from home in 12 hours
That is,
x = 12 hours
Put x = 12 into the equation,
∴y = 35(12)
y = 420 miles
Hence, Deena is 420 miles from home in 12 hours.
The graph is shown below. The graph is linear
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Which function is represented in this graph?
Step-by-step explanation:
we can see that this is an absolute value function. we know that for the graph to be shifted to the left the value of the constant inside the absolute value should be positive. and the fact that it is shifted down means that there is a negative constant outside the absolute value. the equation is:
| X + 5 | - 1
What is the output of this program?
numA = 2
numB = 3
if numA == 2 and numB == 2:
print("yes")
elif numA == 2 and numB == 3:
print("no")
Output:
PLEASE HELP GIVE YOU THE BRAINLEST
Answer:
IUOIUJUIYIYIYUYUYUYIYUYUY
Solve the following system of equations
3x - 4y + z = -5
x-y-z = -10
6x - 8y + 2z = 10
Notice that the left side of the third equation is 2 times the left side of the first equation:
6x - 8y + 2z = 2 (3x - 4y + z)
The first equation says
3x - 4y + z = -5
while the third equation would reduce to
2 (3x - 4y + z) = 10 ⇒ 3x - 4y + z = 5
but -5 ≠ 5, so there is no solution to the system.
Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo.
The dimension of the original photo is 11 inches by 11 inches.
Given that, the area of the reduced photo is 64 square inches.
In the equation [tex](x -3)^{2} = 64[/tex], x represents the side measure of the original photo.
We have to determine the dimensions of the original photo.
What is the equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, solve the equation for the value of x.
By square rooting on both the side, we get
[tex]\sqrt{(x-3)^{2} } =\sqrt{64}[/tex]
⇒[tex](x-3)=[/tex]±[tex]8[/tex]
⇒[tex]x=8+3=11[/tex] and [tex]x=-8+3=-5[/tex]
The length and width can not be negative.
Therefore, the dimension of the original photo is 11 inches by 11 inches.
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Answer: A) 11 inches by 11 inches
Step-by-step explanation:
Edg 2022
√-361 what is the answer
Answer:
19i
Step-by-step explanation:
note that [tex]\sqrt{-1}[/tex] = i
[tex]\sqrt{-361}[/tex]
= [tex]\sqrt{361(-1)}[/tex]
= [tex]\sqrt{361}[/tex] × [tex]\sqrt{-1}[/tex]
= 19 × i
= 19i
Find the equation of the linear relationship.
The equation that represents the linear relationship is y = ___
Answer: The equation of a linear relationship is y = mx + b, where m is the rate of change, or slope, and b is the y-intercept (The value of y when x is 0).
Step-by-step explanation:
Вхід на станцію метрополітену обладнаний системою к=4 турнікетів. При виході з ладу одного з турнікетів решта продовжують нормально функціонувати. Вхід на станцію перекривається, якщо вийдуть з ладу всі турнікети. Потік відмовлень кожного турнікету - найпростіший, середній час безвідмовної роботи одного турнікету 175 годин. При виході з ладу кожний турнікет починає відразу ремонтуватися. Час ремонту розподілено за показниковим законом і в середньому складає 5-3 годин. В початковий момент всі турнікети справні. Знайти середню пропускну спроможність системи турнікетів у відсотках від номінальної, якщо з виходом з ладу кожного турнікету система втрачає (100/k) % своєї номінальної пропускної спроможності
PLEASE ILL GIVE BRIANLIEST
Answer:
The answer is A
Step-by-step explanation: if 4 is the radius you take 4 and square it
(4 times 4= 16)
16 times pie
(in this case 3.14)
equals: 50.24
Which equation does the graph of the system of equations solve?
Answer:
d
Step-by-step explanation:
Simplify (5x+6)(6x-4)
Answer:
I think it's 35x^2 +16x-24 listen I'm not sure yet I could be wrong
The area of the cell phone dimensions to her computer screen dimensions is 1:3. What’s the length and width of the computer screen
Answer:
A=l*w
Step-by-step explanation:
so We Derive Their Formula
L=A/w
[tex]\frac{1}{2} - x + \frac{3}{4} = x - 4[/tex]
Answer:
[tex]x = \dfrac{21}8[/tex]
Step-by-step explanation:
[tex]~~~~~~~~\dfrac 1 2 -x + \dfrac 34 = x-4\\\\\\\implies \dfrac 24 + \dfrac 34 - x =x-4\\\\\\\implies \dfrac 54+4=x+x\\\\\\\implies 2x = \dfrac{21}{4}\\\\\\\implies x = \dfrac{21}{4 \cdot 2}\\\\\\\implies x = \dfrac{21}8[/tex]
Ellis is going on a tour that costs $65 while on vacation. He was told to bring $118 to pay for the cost of the tour and dinner. Which of the following inequalities represents the money Ellis can spend on dinner?
A. $118 + d < $65
B. $118 + d > $65
C. $65 + d > $118
D. $65 + d < $118
Answer:
The answer should be D.
Which point is not included in the solution set for the inequality? (–1, 3) (0, 4) (1, 5) (2, 4)
The point that is not included in the solution set for the inequality in the graph is (-1, 3).
How to explain the graph?In the information given, (h, k) is the vertex point. In the graph, the vertex point will be (1, 2). The equation will be:
y = a(x + 1)² + 2
By the point of the graph(0, 3) the value of a will be:
3 = a(0 - 1)² + 2
3 = a + 2
a = 3 - 2
a = 1
The equation this becomes:
y = 1(x - 1)² + 2.
y = x² - 2x + 1 + 2
y = x² - 2x + 3
Therefore, the point that is not included in the solution set for the inequality is (-1, 3).
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