The spherical tank with a capacity of 750 gallons has a radius of 2.88ft.
Volume refers to the total amount of space an object occupies. It also determines the capacity of the object.
Given the fact that 1 gallon is about 0.1337 ft^3, and the spherical tank has a capacity of 750 gallons, then it's volume or capacity can be converted from gallons to ft^3 by multiplying 750 with 0.1337.
1 gallon = 0.1337 ft^3
750 gallons = 750(0.1337 ft^3)
750 gallons = 100.275 ft^3
To solve for the radius of the spherical tank, use the formula for the volume of sphere given by the formula:
V = 4/3πr^3
where V = 100.275 ft^3
100.275 ft^3 = 4/3πr^3
r^3 = 23.93889288 ft^3
r = 2.882048957ft
Rounding off to the nearest hundredth of a foot:
r = 2.88ft
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A boat travels upstream the Missouri River for 3.5 hours. The return trip takes only 2.5 hours because the boat travel 2 miles per hour faster downstream due to the current. How far does the boat travel downstream? PLEASE HELP PLSPLSPLSPLS
The distance traveled by boat upstream would be 5 miles because downstream, the boat moves 2 miles per hour more quickly.
What is the speed?Speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
We have been given that the boat takes 3.5 hours to move upstream on the Mississippi River.
And 2.5 hours are used traveling back.
Downstream, the boat moves 2 miles per hour more quickly.
Let the speed of travel upstream would be x
⇒ 3.5x = 2.5(x + 2)
⇒ 3.5x = 2.5x + 5
⇒ 3.5x - 2.5x = 5
⇒ x = 5
So the distance traveled by boat upstream would be
= 3.5 × 5
= 17.5 miles per hour
Therefore, the boat travels 5 miles downstream.
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If AB and CD intersect at point E, m measure of all four angles.
The all four angles are ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40o.
What are vertically angles?
Vertical angles are formed when two lines cross at a point. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.
Given that
∠BOC+∠AOC=280o (AB and CD intersect at point E)
we know that, ∠AED and ∠BEC are vertically opposite angles ∠AED=∠BEC
we know that, ∠AED=∠BEC
so it can be written as
∠AED+∠AED=180o,
2∠AED=280o,
∠AED= 140o,
∠AED=∠BEC=140o
we know that ∠AEC and ∠AEC form a linear pair
So it can be written as
∠AEC+∠AED=180
substituting the values
∠AEC+140o=180o
∠AEC=40o
we know that ∠AEC and ∠BED are vertically opposite angles
∠AEC=∠BED=40o
Therefore, ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40
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Factor:
3t³-21t²-12t
Answer:
3t (t²-7t-4t)
Step-by-step explanation:
The highest common factor was 3t
Which function would you use to locate the index of the first character of the first occurence of a substring within another string?
You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.
What is the CHARINDEX function?The CHARINDEX() function is defined as returning the substring's location within the given string. Like the SUBSTRING function, it operates in reverse.
⇒ Syntax of CHARINDEX() function is CHARINDEX (substring, input_string)
Substring: Here, we specify the substring within the input string that we wish to look for. A maximum of 8000 characters may be used in this argument.
Input_string: The input string is defined in this argument.
Therefore, You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.
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please answer with steps
txt: identify the domain and range of the following relation and determine if the relation is a function. Explain why or why not.
We need to know about relation and function to solve the problem. The domain of the relation is {-4,2,7,10} and the range is {-4}. The relation is a function.
Relation is a subset of Cartesian product or we can say that it is a set of points. It can also be described as a collection of ordered pairs.Function is a relation which follows that each input should have only one output. The domain of a relation or function is the set of values that the relation can accept, the range of a relation is the set of values that can be an output of the function or relation. The x values are the inputs and form the domain whereas the y values give the range. In the given relation the domain of the relation is {-4,2,7,10} and the range of the relation is {-4} since there is only one ouput value. The relation is a function since every input has only one output.
Therefore the domain of the relation is {-4,2,7,10} and the range is {-4} and the relation is function.
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I need the answer to all of them Rolly quick Bc my phone is dying
Answer:
1: $5
2: 7
3: 18
4: 17
5: 2
6: 1,029
Step-by-step explanation:
Eighth grade > J.10 Solve proportions: word problems 5XV
You have prizes to
Sally's retirement party will cost $34 if she invites 17 guests. If there are 46 guests, how
much will Sally's retirement party cost? Assume the relationship is directly proportional.
Answer:
Practice with this https://www.ixl.com/math/grade-8/solve-proportions-word-problems
Step-by-step explanation:
On a map once 1 cm = 22 miles, find the actual distance between two towns a & b which is 4.7 cm on the map
on the map , 1cm=5kmtherefore ,
4.7cm= 5/1 x 4.7=23.5 km <----—-answer
Select all the correct answers.
Grace's work is x miles from her house. She drives to work every day of a 5-day workweek. Grace also goes to the gym every day after work, which increases her daily drive by 8 miles. The following expression shows the number of miles Grace puts on her car during the workweek.
Which of the following descriptions are equivalent ways to write this problem?
-----------------------------------------------------
1, Grace's work is x miles from her house. During the workweek, she drives the x miles between her house and work 7 times. She also goes to the gym to work out which increases her driving by 13 miles per workweek.
2. Grace's work is x miles from her house. To get to work and back, she drives 2x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times.
3. Grace's work is x miles from her house. To get to work and back, she drives x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times.
4. Grace's work is x miles from her house. During the workweek, she drives the x miles between her house and work 10 times. She also works out which increases her driving by 40 miles per workweek.
(this problem is multiple choice btw)
Answer: 54
Step-by-step explanation:
54
Answer: The 4 one is correct, The 2 one is correct
Step-by-step explanation:
-lukelaws hope i helped if i did please make me brainliest and if im wrong i am so sorry:(
The function f(x) = x² + 4 is defined on the domain [-8, 8]. Which of the following is the correct associated range?
O [4, 68]
O [0, 4]
O [-60, 4]
O (-∞, 4]
O [-60, 68]
0 (-∞, ∞)
========================================================
Explanation:
The parabola has its lowest point when either x = -8 or x = 8
Plug either value into the function
f(x) = -x^2 + 4
f(-8) = -(-8)^2 + 4
f(-8) = -60
You should find that f(8) = -60 as well
This is the lowest output possible. Confirmation of such can be done using a graph. Look for the lowest point and only focus on the interval [tex]-8 \le \text{x} \le 8[/tex]
The highest point is at the vertex (0, 4), so the largest output is y = 4
------------
We have the lowest output y = -60 and the highest output y = 4
The possible set of outputs is the interval [tex]-60 \le \text{y} \le 4[/tex] which turns into the interval notation [-60, 4]
Check out the graph below.
The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.
Is the sequence of transformations mapping △ABC to △DEF an isometry?
Yes. The sequence of transformations is an isometry because it contains only non-rigid transformations.
Yes. The sequence of transformations is an isometry because it contains only rigid transformations.
No. The sequence of transformations is an isometry because it contains only non-rigid transformations.
No. The sequence of transformations is an isometry because it contains only rigid transformations.
Answer:
Yes. The sequence of transformations is an isometry because it contains only rigid transformations.
Step-by-step explanation:
Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.
The rule of the transformation is given as,
(4, -4) ⇒ (1 - x, 2 - y)
Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.
The graph of transformation is attached below.
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Describe all numbers x x that are at a distance of 6 6 from the number 12 12. express this using absolute value notation.
The absolute value notation will be |x - 12| = 6
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x |
All numbers x is at a distance of 6 from the number 12. Then the equation will be
|x - 12| = 6
Simplify the equation, then we have
For x ≥ 0, then the value of x will be
x - 12 = 6
x = 18
For x < 0, then the value of x will be
- x + 12 = 6
x = 6
The absolute value notation will be |x - 12| = 6
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other recipe calls for 34
3
4
cup of milk. Marisa has 1
1
cup of milk.
Does Marisa have enough milk for both recipes?
Solve for x when g=x-c/x
Answer:
x= -3/g -1
Step-by-step explanation:
Given f(n) = 7n - 5
Evaluate f(-2)
Answer:
[tex]{ \tt{f(n) = 7n - 5}} \\ { \tt{f( - 2) = 7( - 2) - 5}} \\ { \tt{f( - 2) = - 14 - 5}} \\ { \tt{f( - 2) = - 19}}[/tex]
Ali Makes a Four digit number . The sum of the digit is 4 . The thousands digit and the unit digit are the same. The hundreds digit is zero.
What is Ali's number?
Answer:
6000
Step-by-step explanation:
thousands digit and the units digit are the same.
and The hundreds digit and the tens digit are the same.
The hundreds digit is 0.
so three digits are same.
so the last three digits are 0.
The sum of the digits is 6.
so 6000 is right answer.
DIG DEEPER The diagram shows the elevation changes between checkpoints on a trail.
A drawing shows the change in elevation between checkpoints on a mountain trail. From a point labeled start, the trail moves down to a point which is labeled negative 174 feet from the starting point. The trail then moves upward up to a point labeled 350 feet above the previous point. Next, the trail moves down to a point which is labeled negative 180 feet below the previous point. Then the trail moves up to a point labeled 282 feet above the previous point labeled end.
The trail begins at an elevation of 8136 feet. What is the elevation at the end of the trail?
The elevation is
feet.
Skip to navigation
Using operations with integers, it is found that the elevation at the end of the trail is of 8,414 feet.
How to find the elevation at the end of the trail?We initially take the initial elevation, and then:
We add positive points labeled on the graph.We subtract negative points labeled on the graph.Thus, operations of sum and subtraction with integers are used to find the final elevation.
From the listed points on the problem, the operations are given as follows:
-174, 350, -180, +282.
The trail begins at an elevation of 8136 feet, hence the final point can be found as follows:
8136 - 174 + 350 - 180 + 282 = 8414 feet.
The elevation at the end of the trail is of 8,414 feet.
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write an equation of the line
Bombonica s-a gândit la un număr, i-a adăugat 74, rezultatul obţinut l-a mărit de 10 ori, iar din
noul rezultat a luat de 7 ori câte 86 şi a obţinut 318, număr care reprezenta numărul zilelor de când
fusese răpit împăratul. La ce număr s-a gândit?
[tex]x + 74 \cdot 10 - (7 \cdot 86) = 318[/tex]
[tex]x+74\cdot \:10-7\cdot \:86=318[/tex]
[tex]x+740-7\cdot \:86=318[/tex]
[tex]x+740-602=318[/tex]
[tex]x+138=318[/tex]
[tex]x = 318 - 138 = 80[/tex]
Imparatul s-a gandit la numarul 80.
The sum of three lengths of a fence ranges from 31 to 40 inches. two side lengths are 9 and 12 inches. if the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side. 31 ≤ x ≤ 40 22 ≤ x ≤ 28 10 ≤ x ≤ 19 9 ≤ x ≤ 12
If two side lengths of a fence are 9 and 12 inches and the sum of the three lengths ranges from 31 to 40 inches, then the length of the third side, x, can be presented by the compound inequality 10 < x < 19.
Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.
Given that the sum of the three lengths of a fence ranges from 31 to 40 inches, the inequality can be written as:
31 < sum < 40
If two side lengths are 9 and 12 inches, and let x be the third length, the inequality becomes:
31 < 9 + 12 + x < 40
31 < 21 + x < 40
Subtracting 21 at all sides,
31 - 21 < 21 + x - 21 < 40 - 21
10 < x < 19
Hence, the compound inequality to show the length of the third side can be written as 10 < x < 19.
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A function is shown in the table.
x g(x)
−2 2
−1 0
0 2
1 8
Which of the following is a true statement for this function? (5 points)
Group of answer choices
The function is decreasing from x = 0 to x = 1.
The function is decreasing from x = −1 to x = 0.
The function is increasing from x = 0 to x = 1.
The function is increasing from x = −2 to x = −1.
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.
11+{19+6}={11+___}+6
Answer:
Step-by-step explanation:
11+(19+6)= (11+19)+6 so it's the associative property
31.693 rounded to the nearest tenth
Answer:
31.7
Rounded to the nearest Tenths Place.
9. Marlee is making jewelry for a class craft
show. She began with 115 inches of wire.
She used 25.75 inches for rings. Then her
teacher gave her 30 1/4 inches of wire to
make more jewelry. She then used 38 1/2
inches for the bracelets and 60.2 inches for
necklaces. How much wire does Marlee
have left?
The wire that Marlee had left is 20.8 inches.
How to calculate the fraction?From the information given, it was stated that Marlee is making jewelry for a class craft show and that she began with 115 inches of wire.
Amount used for rings = 25.75 inches..
Amount given to her by the teacher = 30 1/4 inches.
Amount used for bracelets = 38 1/2
inches.
Amount used for necklace = 60.2 inches
It should be noted to know the wire left, we have to subtract the values that were used and then add the value that her teacher gave her from the original value. This will be calculated thus:
This will be:
= 115 - 25.75 + 30.25 - 38.5 - 60.2
= 20.8 inches
Therefore, in conclusion, the wire that Marlee had will be 20.8 inches left.
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Segments AD and BC intersect at point O.
Prove that AC = BD,
m∠ABC=m∠BAD.
Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.
How to prove Congruent Angles?
In ΔOAC and ΔODB, we have the following observations
CO = DO because it is shown that they are congruent
∠AOC = ∠BOD because vertical angles are congruent
∠ACO = ∠BDO because we are given that they are congruent
Now, the congruency theorem that we can use here is ASA which means Angle - Side - Angle. This implies that 2 corresponding angles and the included side are congruent.
If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by Angle - Side - Angle congruence theorem.
Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.
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Please help me due in less than an hour
Answers to Question 6: m∠1 = 92, m∠2 = 88
The sum of a linear pair's angles is 180°, so we will set up an equation to solve.
(x + 67) + (3x + 13) = 180
4x + 80 = 180
4x = 100
x = 25
-
(x + 67) ➜ (25 + 67) ➜ 92
(3x + 13) ➜ (3(25) + 13) ➜ 88
Answer to Question 7: m∠2 = 56
Vertical angles are congruent, or equal, so we can set up an equation to solve.
(5x + 16) = (4x + 24)
x = 8
-
(5x + 16) ➜ (5(8) + 16) ➜ 56
(4x + 24) ➜ (4(8) + 24) ➜ 56
Juliana wants to write the number twenty thousand, one hundred ninety in expanded notation. Which of the following would complete the expression? Select all that apply.
2x? + 1x100 + 9x10
A.1,000
B. 10 to the 4th power point
C. 100,000
D. 10 to the 3rd powerpoint
E. 10,000
The option that would complete the given expression is; Option B: 10 to the fourth power
How to write a number is Expanded Notation?
We are told that Juliana wants to write the number twenty thousand, one hundred ninety in expanded notation.
This can be broken down as;
20,190
This can be broken further down into;
20000 + 100 + 90
Writing in expanded notation gives;
(2 * 10⁴) + (1 * 10²) + (9 * 10¹)
Thus, we can say that the option that would complete the given expression is; Option B: 10 to the fourth power
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What is the standard deviation and its meaning given this population of customer ages? 45, 76, 30, 22, 51, 40, 63, 66, 41
The standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{N}[/tex]
SD is the standard deviation
xi is each value from the data set
X is the mean of the data set
N is the number of observations in the data set.
It is given that:
The data set:
45, 76, 30, 22, 51, 40, 63, 66, 41
From the formula:
∑(x(i) - X)² = 2463.55
N = 9
SD = √(2463.55/9)
SD = 16.54
Thus, the standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.
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Find the volume of the swimming pool?
depth = 9
2x+10 3x-5
Answer:
50
Step-by-step explanation:
2(9)+10
3(9)-5
18+10=28
27-5 =22
28+22=50
does pie ever end?
the question is the 3.14 i know the answer i just want to see if you get it right
Answer:3.141598
Step-by-step explanation: that is all I can remember on the top of my head
