That would be [tex] \sqrt{113} [/tex]
(I need the answer as FAST as possible so if anybody could help that would be greatly appreciated)
Please HURRY!!!
Which of the following must be true
Solve the system of equations.
x + y + z = 9
-2x + y + 2z = 3
x - 4y - z = 2
Answer:
(4,-1,6)
Step-by-step explanation:
x=4
y=-1
z=6
The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 15 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours
Over the course of the three hours, 41.25 gallons of water passed through the pipe in total.
We know that the rate of flow for the first hour was 50% slower than the rate of flow for the second hour. So, if the rate of flow in the second hour was 15 gallons per hour, the rate of flow in the first hour would be:
15 gallons/hour * (100% - 50%) = 15 gallons/hour * 50% = 7.5 gallons/hour
We also know that 25% more water flowed through the pipe in the third hour than in the second. So the rate of flow in the third hour would be:
15 gallons/hour * (1 + 25%) = 15 gallons/hour * 1.25 = 18.75 gallons/hour
To find the total number of gallons of water that flowed through the pipe during the entire three hours, we can multiply the rate of flow for each hour by the number of hours:
First hour: 7.5 gallons/hour * 1 hour = 7.5 gallons
Second hour: 15 gallons/hour * 1 hour = 15 gallons
Third hour: 18.75 gallons/hour * 1 hour = 18.75 gallons
Adding these values we can find the total amount of water that flowed through the pipe during the entire three hours
7.5 gallons + 15 gallons + 18.75 gallons = 41.25 gallons
So, in total 41.25 gallons of water flowed through the pipe during the entire three hours.
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Annie round $280. 05$ to the nearet hundred. Bobby round $280. 05$ to the nearet ten. Ciro round $280. 05$ to the nearet integer. Denie round $280. 05$ to the nearet tenth. What i the um of Annie' anwer, Bobby' anwer, Ciro' anwer, and Denie' anwer?
The sum of Annie's, Bobby's, Ciro's, and Denise's answers is $ 1140.1.
What is rounding off the numbers?A number is simplified when it is rounded off, preserving its value while moving it closer to the next number. It is done for whole numbers as well as decimals at various places of hundreds, tens, tenths, etc.
If the number following the decimal is between 0 and 4, a number may be rounded off to its lowest value. If the number after it is between 5 and 9, the number will be rounded off to a greater value.
Annie rounds $ 280.05 to the nearest hundred
$ 280.05 will be equal to $ 300
Bobby rounds $ 280.05 to the nearest ten
$ 280.05 will be equal to = $ 280
Ciro rounds $ 280.05 to the nearest integer
$ 280.05 will be equal to = $ 280
Denise rounds $ 280.05 to the nearest tenth
$ 280.05 will be equal to = $ 280.1
Then, the sum of Annie's answer, Bobby's answer, Ciro's answer, and Denise's answer = $ 300 + $ 280 + $ 280 + $ 280.1 = $ 1140.1
Therefore,
The sum of Annie's, Bobby's, Ciro's, and Denise's answers is $ 1140.1.
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find the total surface area of this triangular prism
The surface area of the triangular prism is 156cm² when the triangle sides are 8cm and 15 cm rectangle sides are 17cm and 2 cm.
Given that,
We have to find the total surface area of the triangular prism in the given picture.
We know that,
First, we need to calculate the area of the triangle
a = area of triangle
a = 1/2 ×15 cm × 8 cm
a = 60 cm²
Now,
We must determine the three rectangles' areas.
a₁ = 2cm × 17cm
a₁ = 34cm²
a₂ = 2cm × 15cm
a₂ = 30cm²
a₃ = 2cm ×8cm
a₃ = 16cm²
Now, we must multiply the triangle by two and sum all the estimated areas.
a₁ + a₂ + a₃ + 2a =60cm² + 34cm² + 30cm² + 2 × 16cm² = 156cm²
Therefore, The surface area of the triangular prism is 156cm² when the triangle sides are 8cm and 15 cm rectangle sides are 17cm and 2 cm.
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5. A rock is dropped off of a bridge that is 50 feet above a river. How long will it take the rock to hit the
water? (Hint: remember, the initial velocity is zero),
x=2
Use Desmos to create a graph
of the equation. Copy and paste
a copy of the graph below:
Answer:
Step-by-step explanation:
the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³
The value of the length will be 17920cm.
How to calculate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
Since the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³.
The value of the length will be:
= 7 / (7 +5+2) × 35840
= 7/14 × 35840
= 17920cm
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the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³. Find the value of the length
Her work is shown below. V = two-thirds + 54. V = two-thirds + StartFraction 162 Over 3 EndFraction. V = StartFraction 164 Over 3 EndFraction meter cubed. What is Amie's error?
The question is incomplete. The complete question is :
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 54 meters cubed. Amie found the volume of the sphere. A sphere with height h and radius r. A cylinder with height h and radius r. Her work is shown below. V = two-thirds + 54. V = two-thirds + StartFraction 162 Over 3 EndFraction. V = StartFraction 164 Over 3 EndFraction meter cubed. What is Amie's error?
Solution :
Amie should have multiplied 54 by two-thirds.
Given that sphere and the cylinder have the same radius as well as same height. The volume of the cylinder is 54 inch cube.
Volume of the sphere = [tex]$\frac{4}{3}\pi r^3$[/tex] .......... (i)
Volume of cylinder = [tex]$\pi r^2h$[/tex] ....................(ii)
Therefore, the ratio of sphere volume to cylinder volume is,
[tex]$\frac{4}{3}\pi r^3 : \pi r^2 h$[/tex] ......(iii)
Divide both the sides by [tex]$\pi r^2$[/tex] , we get
[tex]$\frac{4}{3} \ r : h$[/tex] ..........(iv)
We know that the height of the sphere = diameter of the sphere
The diameter of the sphere is D = 2r
Also the sphere height = cylinder height
So, the height of the cylinder = 2r
Therefore, substituting the height of the cylinder as 2r that is represented as h in equation (iv) is given by :
[tex]$\frac{4}{3} \ r : 2r$[/tex] .............(v)
Now dividing both the sides by 2r, we get
[tex]$\frac{2}{3} : 1$[/tex] ..................(vi)
Thus for equation (vi), we see, sphere volume = [tex]$\frac{2}{3}$[/tex] of the cylinder volume
∴ sphere volume = [tex]$\frac{2}{3}\times 54$[/tex]
= 36 meter cube
Thus, Amie should have multiplied 54 by [tex]$2/3$[/tex] .
The coordinates of a triangle are: R(-4,4) S(-2,-2) T(2, 3) Brian determined A RST was a scalene triangle, but he wanted to the find the lengths of the three sides. Complete the table to determine the three side lengths of ARST. 37 38 140 141 length of RS length of ST length of TR
The length of the sides RS, ST and TR are √72, √41 and √37 in the scalene triangle RST.
The distance between any two points A(a,b) and B(c,d) in the plane is given by,
AB = √((c-a)²+(d-b)²)
Here, it is given that the points of the triangle are R(-4,4) S(-2,-2) T(2, 3).
The triangle is scalene so length of every side is different.
Now, Using the above formula,
RS = √((2+4)²+(-2-4)²)
RS = √(36+36)
RS = √72
ST = √((2+2)²+(3+2)²)
ST = √(16+25)
ST = √41
TR = √((2+4)²+(3-4)²)
TR = √(36+1)
TR = √37
So, Brian is correct, the triangle is a scalene triangle.
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Which of the following three equations represent the same line? 12(t) (2,2,4) +t(2,4,6) O A. 1(),12() and Ia(t O B. 11(t) and 12(t) . 12(t) and la(t) D. 1(t) and 1(t) E. none Submit
1(t) = 12(t) (2,2,4) +t(2,4,6) and Ia(t) = 12(t) (2,2,4) +t(2,4,6) represents the same line, as they are both equivalent to 12(t)(2,2,4) + t(2,4,6). So Option A is correct.
The equation of a line in 3-dimensional space can be represented in the form "r(t) = a + tb" where "r(t)" is a vector that represents any point on the line, "a" is a vector that represents a point on the line, and "b" is a vector that represents the direction of the line.
The given equations are:
1(t) = 12(t) (2,2,4) +t(2,4,6)
Ia(t) = 12(t) (2,2,4) +t(2,4,6)
As we can see that both equations are identical to equation 12(t) (2,2,4) +t(2,4,6) thus these three equations represent the same line.
The other given options B, C, and D are not equivalent to each other or to the original equation, thus they do not represent the same line.
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Which is equivalent to the ratio 35 : 100?
Answer: 7:20
Step-by-step explanation:
It seems like there are no options to choose from, but if that is one of the options, here's how:
You can simplify ratios by finding if there is a common multiple.
For 35 and 100, there is a common multiple of 5, so you can divide both sides by 5 to simplify the equation.
That leaves us with 7:20. Since one is a prime number, we can't simplify this further.
Answer:
The ratio equivalent to 35:100 is 7:20
Step-by-step explanation:
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the Ratio?
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Given ratio,
= 35 / 100
= 5× 7 / 20 × 5
= 7 / 20
I need help ASAP plsss
Answer:
a) B
b) C
Step-by-step explanation:
Find the value of x. Round to the nearest tenth.
x
15.3
37°
help me asap
Answer:
x ≈ 25.4
Step-by-step explanation:
Using the sine ratio in the right triangle
sin37° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15.3}{x}[/tex] ( multiply both sides by x )
x × sin37° = 15.3 ( divide both sides by sin37° )
x = [tex]\frac{15.3}{sin37}[/tex] ≈ 25.4 ( to the nearest tenth )
Graph the following system of inequalities
Answer:
dbhfjdbbfnfkdnnslskdkdlpxskndndmxlxnd
Step-by-step explanation:
dbndndkekdldpdkdelskndnflspdldnnenwoqpcnnspshkdhfbeodbsogbsobdjdbjwiwjbfjdongnfffdadw
Find the area of this circle. Use 3.14 for pie?
Answer:
3.141592658
Step-by-step explanation:
PLEASE HELP YOU WILL GET BRAINLIEST!
Answer:
supplementary, complementary, acute 45, supplementary, x=10
Step-by-step explanation:
what is the greatest common factor of two numbers is 4. The sum of the numbers is 76. What are the two numbers?
Answer:
4 and 72
Step-by-step explanation:
Answer:
4 and 72 !
Step-by-step explanation:
what is the speed of a car that is traveling 150 miles in 3 hours? Show your work
Answer:
[tex]speed = \frac{distance}{time} \\ speed = \frac{150}{3} \\ = 50 \: miles \: per \: hour[/tex]
What's the fewest number of people in a room where it's probable (>50%) that a pair of them share a birthday
There is a probable (>50%) that two people in a room with 23 people will share the same birthday.
What is probability?Probable means likely to occur or prove true, or having more evidence for than against, or evidence that inclines the mind to belief but leaves some room for doubt, or affording ground for belief.
Even while it may appear odd that only 23 people are needed to achieve a 50% likelihood of a shared birthdate, this conclusion is made more logical by keeping in mind that birthday comparisons will be done between all potential pairs of people.
There is a 50% chance that two people in a room with 23 people will share the same birthday. Though it may seem strange, it is mathematically accurate.
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What is another way of expressing 96?
A. 2^5 × 3
B. 2³ × 3
C. 2×2×2×2×3
D.9 × 6
Answer:
A) 2⁵*3
Step-by-step explanation:
96
2*48
2*2*24
2*2*2*12
2*2*2*2*6
2*2*2*2*2*3
2⁵*3
Therefore, A is the correct answer.
What is the Vertex of the graph?
options:
(1,1)
(-1,1)
(0,1)
(1,0)
Answer:
(-1, 1)Step-by-step explanation:
First coordinate of a point we read from X-axis and the second coordinate of a point we read from Y-axis
1. Why is line AC congruent to line CB in the diagram below?
Answer:
They are both identical triangles with the same angles and lenght which means they are congruent and so their hypotenuses lines AC and CB are also congruent.
Step-by-step explanation:
Hope this helps
Answer:
they are congruent because they are on a perpendicular line
Marking brainliest
Please help
can anyone help?! Will mark brainliest!
Answer:
Volume are over 120-177 because the layers are communicate each factors and angles..
Step-by-step explanation:
both 6 have 3 factors
A are for equation
5 centimeters are not allowed to communicate with other lessons and Numerator numbers...
HOPE IT HELPS!!
PLEASE HELP ME WITH PROBLEM C
1) The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average rate of 3/4 feet per year.
a) Write an equation in Slope-Intercept form to represent the growth of the trees over time. Let x represent the number of years and let y represent the height (in ft.) of the tree.
Y=3/4x+3
b) What does the y-intercept represent in your equation
Y=3. 3 stands for feet tall
c) Determine the height of the tree in 3 years.
a) To write an equation in slope-intercept form to represent the growth of the Magnolia trees over time, we can use the formula y = mx + b, where x represents the number of years, y represents the height of the tree in feet, m represents the slope (or rate of growth) of the tree, and b represents the y-intercept (or the height of the tree at x = 0).
In this case, the slope (m) of the tree is 3/4 feet per year and the y-intercept (b) is 3 feet, as the trees are initially 3 feet tall when they are purchased. Plugging these values into the formula gives us:
y = (3/4)x + 3
This equation represents the growth of the Magnolia trees over time.
b) The y-intercept of an equation in slope-intercept form represents the value of y when x is equal to 0. In this case, the y-intercept of the equation y = (3/4)x + 3 is 3 feet. This means that when x is equal to 0 (when no years have passed), the height of the tree is 3 feet.
c) To determine the height of the tree in 3 years, we can substitute 3 for x in the equation y = (3/4)x + 3 and solve for y. This gives us:
y = (3/4)(3) + 3
= 9/4 + 3
= 21/4
= 5.25 feet
Therefore, the height of the tree in 3 years is approximately 5.25 feet.
The rectangular floor of a classroom is 26 feet in length and 36 feet in width. A scale drawing of the floor has a length of 13 inches. What is the perimeter, in inches, of the floor in the scale drawing?
HURRYYY I NEED HELP AGAIN!
Answer: 62 inches
Step-by-step explanation:
26÷13 =2
so 2 is the scale factor
so 36÷2= 18
18+18+13+13=62
I HOPE THAT HELPED
need help with these 4
Thus, It is possible to visually assess whether a limit exists as x approaches a by looking at the function f (x) and g (x) graphs, which are 1 and 5 when x is very close to x=a.
How would you define limit?In mathematics, a limit is the value that a function, a sequence, or an index approaches as an input or an index gets closer to a particular value. Limits are essential to the study of calculus and mathematical analysis since they are used to define continuity, derivatives, and integrals.
Here,
From the function f (x) and g graphs shown here ( x)
1) lim f (x) plus lim g ( x )
= -1 + 2 = 1
2) f (-1) + lim g ( x)
= 3 + 2
= 5
Therefore , the solution of the given problem of limit comes out be 5.
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413.33 The 3 in the hundredths place is _____ times the value of the 3 in the tenths place.
Answer:
The value of the 3 in the tenths place is 10 times the value in the hundredths place
Step-by-step explanation:
Ok