The length, width, and height of the box in factored form is -x (x-5)(x +2) which is option A
The box is in the shape of a cuboid
The volume of a cuboid = l b h, where l is the length, b is the breath or width and h is the height
Putting the values of width and volume in the formula
x³ - 3x²-10x = l ×(5-x) × h
This becomes a cubic equation
l × h = (x³-3x²-10x)/ 5-x
l × h = -x²-2x
l × h = -x(x+2)
Now, putting the value of l × h in the equation we get
v= -x ( x+ 2) (5-x)
v = -x (x-5)(x +2)
Hence, the length, width, and height of the box in factored form is -x (x-5)(x +2) which is option A
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A rectangular pool is 9 meters wide and 11 meters long. If you swim diagonally from one corner to the other, how many meters will you swim? Approximate the answer to the nearest tenth.
A: 1.4 meters
B: 4.3 meters
C: 6.3 meters
D: 14.2 meters
The answer choice which represents the length to swim diagonally and expressed to the nearest tenth as required in the task content is; Choice D; 14.2 meters.
What is the length to swim diagonally in the rectangle as described in the task content?It follows from the task content that the pool in discuss is rectangular and hence, the diagonal of the rectangle makes a right triangle with two perpendicular sides of the rectangle.
Hence, from Pythagoras theorem; we have;
hyp² = opp² + adj²
Hence,
D² = 9² + 11²
D² = 81 + 121
D² = 202
D = √202
D = 14.2 rounded to the nearest tenth.
Therefore, The answer choice which represents the length to swim diagonally and expressed to the nearest tenth as required in the task content is; 14.2 meters.
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Write an equation of the line and interpret the slope and y intercept (Will award brainiest answer)
Answer:
[tex]y = 120x [/tex]
Step-by-step explanation:
Equation of a straight line is
[tex]y = mx + b[/tex]
m= slope of line = rise/run which can be computed by taking two points on the line, finding the difference I the y coordinate values and dividing by the correspoding difference in their x coordinate values
b is the y-intercept where the line crosses the y-sxis
Looking at the graph we can see that the line crosses the y-sxis at the origin (0, 0) so the y-intercept is at y=0
The slope is determined by examining the two highlighted points (3, 360) and (2, 240)
Slope =
[tex] \frac{360 - 240}{3 - 2} = \frac{120 }{1} = 120[/tex]
So equation of line is
[tex]y = 120x + 0[/tex]
or
[tex]y = 120x[/tex]
BRAINLIEST ANSWER IF ANSWERED PROPERLY WITH NO SPAM
Answer:
m = e/c^2
Step-by-step explanation:
e = mc^2
m = e/c^2
a elevator at a construction site has a maximum capacity of 2030 pounds. if the elevator operator weighs 230 pounds and each cement bag weighs 75 pounds how many bags of cement can safely lifted on the elevator in one trip
Answer:
Step-by-step explanation:
2030-230=1800
1800/75=24
write the slope-intercept form of the line described
11) through: (5,5), parallel to y = 8/5x + 5
Answer:
y=8/5x-3
Step-by-step explanation:
y-5=8/5(x-5)
y-5=8/5*x-8/5*5
y-5=8/5x-(8*5/5)
y-5=8/5x-(40/5)
y-5=8/5x-8
+5 +5
y=8/5x-3
Hope this helps.
3. juan lies on the ground 45 feet from his tent. the tent is 400 feet from the base of a tall cliff. both the top of the tent and the top of the cliff are in his line of sight. if juan's tent is 10 feet tall, how tall is the cliff?
The cliff is 98.89 feet tall.
In the attached diagram, we can there are two triangles forming. Small triangle involves Juan and tent and larger triangle involves Juan and cliff. As per the known fact, tan theta = perpendicular ÷ base. So, tan theta will be common for both the triangles. Hence, relating the components of tan theta, of both the triangles.
Smaller triangle :
tan theta = 10/45
Larger triangle :
tan theta = h/(400 + 45)
tan theta = h/445
Relating both the triangles as follows -
10/45 = h/445
Performing cross multiplication
10×445 = h×45
h = 4450÷45
h = 98.89 feet
Hence, the cliff is 98.89 feet tall.
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lincoln high wants to estimate the number of seniors who plan to go to a 4-year college. answer the following.
(1) Option A (25 glee club members are randomly selected; 16 plan to go to a 4-year college.) would probably best represent the entire population of seniors.
(2) 416 seniors would be planning to attend a four-year university, by unitary method.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Now,
(1) Since Option A has a larger fraction ([tex]\frac{16}{25} > \frac{14}{25} > \frac{13}{25}[/tex]), it is probably the only one that best represents the majority of the people.
(2) As seen from Part (1),
Out of 650 seniors, around 416 will go to a 4-year college as, by unitary method:
For every 25 members, 16 plan to go to 4-year college
For every 650 members, [tex]\frac{16}{25}(650)=416[/tex] will plan to go to 4-year college.
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(COMPLETE QUESTION:
Lincoln High wants to estimate the number of seniors who plan to go to a 4-year college. 1) Which of the following surveys probably would best represent the entire population of seniors? a) 25 glee club members are randomly selected; 16 plan to go to a 4-year college. b) 25 honor roll students are randomly selected from the senior class; 14 plan to go to a 4-year college. c) 25 seniors are randomly selected; 13 plan to go to a 4-year college. 2) There are 650 seniors at Lincoln High. Using your answer from part (a), estimate the number of seniors who plan to go to a 4-year college.)
A gallon of paint covers 400 square feet.how many square feet will 2 3/8 gallons of paint cover? 1 point
2 3/8 gallons of paint will cover 950 square feet by unitary method.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
By unitary method,
1 gallon paint covers 400 sq feet.
2 3/8 = [tex]\frac{19}{8}[/tex] gallons of paint will cover: [tex]400(\frac{19}{8})[/tex] = 950 sq. feet
Hence, 2 3/8 gallons of paint will cover 950 square feet by unitary method.
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Luke drives 3 times the hours that priya does. luke and priya drive for a total of 12 hours. how long did each person drive?
Luke will drive for 9 hours while Priya will drive for 3 hours.
What does driving mean?Driving is the controlled operation and movement of a vehicle, including cars, motorbikes, trucks, buses, and bicycles. Drivers must abide by the local traffic and road laws when driving on public roadways, which are only permitted when a number of requirements are met. The word "driving" has an etymology that dates back to the 15th century, and it has evolved as what driving has included has changed over time, from working animals in the 15th century to automobiles in the 1800s. Since the fifteenth century, driving has also demanded more advanced physical, mental, and safety abilities.
Let number of hours Priya travelled be x and number of hours Luke travelled be 3x.
Now, Total hours travelled by Priya and Luke;
x+3x=12
x=3
Hence number of hours Priya travelled is 3 hours and Luke travelled for 9 hours.
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math work that i need help with please
Step-by-step explanation:
B: translated across the y axis and shifted upwards 2 units.
What is the slope of the line represented by the equation y = x-31
3?
O-3
10 - 1/2
5
O 3
Answer:
slope = 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 31 ← is in slope- intercept form
with slope m = 1
Can someone answer this please It's due in 30 minutes
Which square root could be the number shown on the number line?
O A. √15
O B. √17
O C. √26
O D. √24
The square root that could be the number shown on the number line is √17
Which square root could be the number shown on the number line?On the number line, the position of the point is
Point = 4.1
Square both sides of the above equation
So, we have"
Point^2 = 4.1^2
This gives
Point^2 = 16.81
Approximate
Point^2 = 17
Hence, the square root that could be the number shown on the number line is √17
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the arithmetic sequence 1, .25, blank, -1.25, blank
The complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
How to complete the arithmetic sequence?The arithmetic sequence is given as:
1, .25, blank, -1.25, blank
Replace the blanks in the arithmetic sequence with x and y
So, we have:
1, .25, x, -1.25, y
An arithmetic sequence has a common difference (d)
The common difference is calculated using
d = T2 - T1
So, we have
d = 0.25 - 1
d = x - 0.25
d = y + 1.25
Substitute d = x - 0.25 in d = 0.25 - 1
x - 0.25 = 0.25 - 1
This gives
x = 0.25 + 0.25 - 1
Evaluate the sum
x = -0.5
Substitute d = 0.25 - 1 in d = y + 1.25
0.25 - 1 = y + 1.25
This gives
y = 0.25 - 1 - 1.25
Evaluate
y = -2
Hence, the complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
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a set of 25 square blocks is arranged into a $5 \times 5$ square. how many different combinations of 3 blocks can be selected from that set so that no two are in the same row or column? (a) 100 (b) 125 (c) 600 (d) 2300 (e) 3600
A set of 25 blocks are arranged into 5×5 square, different combination of 3 blocks such that no two are in same column or row is 3600.
As given,
Set of 25 blocks arranged into 5×5 square.
Arrange 3 blocks
Delete column and row belong to filled block
Possibility for
First block =25 ways
Second block=16 ways
Third block =9 ways
Total ways =25×16×9
=3600
Therefore, set of 25 blocks are arranged into 5×5 square, different combination of 3 blocks such that no two are in same column or row is 3600.
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Bro help me this is 100 points
Answer: 145 minutes ==> 3rd option
Step-by-step explanation:
2*(45-10)+3*(30-5)=
2*35+3*25=
70+75=145 minutes ==> 3rd option
Answer:
145
Step-by-step explanation:
45 × 2 = 90
10 × 2 = 20
90 - 20 = 70
70
30 × 3 = 90
5 × 3 = 15
90 - 15 = 75
75
70 + 75 = 145
145
QUESTION 11:
Consider the graphed function. Based on its end behavior, which of the following could be its equation? (photo attached below):
A) f (x)= x^3 + 6x^2-5x
B) f (x)= -x^4 +6x^3 - 5x^2
C) f (x)= x^4 +6x^3-5x^2
D) f (x)= -x^3+ 6x^2-5x
QUESTION 12:
Divide x2 by x – 1. What is the value of the remainder?
A) 0
B) 1
C) -1
D) 2
The length and width of a rectangle are consecutive odd integers. The perimeter is 120 120 meters. Find the length and width
Answer: Width= 29 meters & Length= 31 meters
Step-by-step explanation:
Let, width= x and Length= x+2
Perimeter= 120 meters
Now, 2{x+(x+2)}= 120
⇒ x= 29
Width= 29 meters
Length= 31 meters
O Caden is paid 6.5% commission on his
sales or a salary of $185, whichever is
higher. Find his earnings if his sales are
$3.790.
Answer:
Do you have a picture or anything to show the problem? I am having a hard time understanding what you have wrote.
Step-by-step explanation:
Question 2 (2 points)
Charles is paid $3.75 per hour plus time and a half on holidays and makes an average of 15% tips on his food sales as a server at the local
seafood restaurant.
This is modeled by the expression 3.75(x) +3.75(1.5)(y) +0.15(z).
What is Charles' gross pay if he worked 25 regular hours and 5 holiday hours and had $1,915 in food sales?
O a
Ob
Oc
Od
$121.88
$399.75
$409.13
$446.63
Considering the function for his salary, his gross pay is of $409.13.
What is the function for his gross pay?His gross pay is modeled by the following function:
P(x,y,z) = 3.75x + 3.75(1.5)y + 0.15z.
In which:
x is the number of regular hours.y is the number of holiday hours.z is his earnings in food sales.For this problem, the parameters are given as follows:
x = 25, y = 5, z = 1915.
Hence his pay is given by:
P(25,5,1915) = 3.75(25) + 3.75(1.5)(5) + 0.15(1915) = $409.13.
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a health and fitness company is testing a newly designed exercise and weight loss program. it is suspected that the new program is more effective in assisting weight loss. a group of 220 volunteers is first separated into 6 groups, labeled a to f, based upon age and weight such that these qualities are similar within each group. the age and weight of the volunteer is initially measured. within each group, participants are randomly assigned to either undergo the new exercise program or undergo a conventional exercise program. in addition, the daily calorie intake is set to a particular amount, either low, moderate or high, and maintained at that level for the duration of the program. at the end of six months, the percentage of weight lost is measured for each unit and the results are collected and compared.
This testing procedure is an example of a randomized block design experiment.
What do we mean by randomized block design experiment?A randomized block design is a research study in which the experimental units are organized into groups known as blocks. The treatments are assigned at random to the experimental groups within each block. We have a completely randomized block design when all treatments appear at least once in each block. A vaccine trial to check the efficacy of a new vaccine is an instance of block randomization. There are two treatments in this trial scenario: a placebo and a drug. A placebo is a non-therapeutic drug that is given to a doctor in place of the real drug.So, the given situation of a health and fitness company in the testing procedure is an example of a randomized block design experiment.
Therefore, this testing procedure is an example of a randomized block design experiment.
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The correct question is given below:
A health and fitness company is testing a newly designed exercise and weight loss program. It is suspected that the new program is more effective in assisting weight loss. A group of 220 volunteers is first separated into 6 groups, labeled A to F, based upon age and weight such that these qualities are similar within each group. The age and weight of the volunteer is initially measured. Within each group, participants are randomly assigned to either undergo the new exercise program or undergo a conventional exercise program. In addition, the daily calorie intake is set to a particular amount, either low, moderate or high, and maintained at that level for the duration of the program. At the end of six months, the percentage of weight lost is measured for each unit and the results are collected and compared.
This testing procedure is an example of a ____.
w + 5w + 4 = 3(2w − 1)
Answer:
my result is 0 = -7 It has no solutions though since it is a contradiction
Help me I’m giving brainiest
Answer:
x = - 2
Step-by-step explanation:
x - 3x = 2(4+x)
-2x = 2*4 + 2x
-2x = 8 + 2x
-2x - 2x = 8
-4x = 8
x = 8/-4
x = -2
Check:
-2 - (3*-2) = 2(4+(-2))
-2 - (-6) = 2(2)
-2 + 6 = 4
Solve the inequality for w.
[tex]-13\le w+14[/tex]
Ignore the equal too I couldn't just do less than
Answer: w>-27
Step-by-step explanation: I believe that this is your answer I am sorry if it is incorrect.
solve for x
(option c, 10 is incorrect)
The ninth-grade teachers at Lincoln High School are buying ice cream for an end-of-year ice
cream social. They estimate the 160 students will eat about 2 scoops of ice cream each. If
the average scoop of ice cream is 0.5 cups, how many gallons of ice cream should the
teachers buy?
Hint: There are 16 cups in 1 gallon.
Write your answer as a whole number, decimal, or simplified fraction. Do not round.
The teacher should buy 10 gallons of ice cream.
The total number of students is 160.The estimated number of scoops for each student is 2.The total number of scoops of ice cream required is the product of the total number of students and the estimated number of scoops per student.The total number of scoops of ice cream required is 160*2.The total number of scoops of ice cream required is 320.The number of cups filled by an average scoop of ice cream is 0.5.The total number of cups needed to accommodate 320 scoops of ice cream is 0.5*320.The total number of cups needed to accommodate 320 scoops of ice cream is 160.The number of gallons in 16 cups is 1.The number of gallons in 1 cup is 1/16.The number of gallons in 160 cups is 160*(1/16).The total number of gallons is 10.To learn more about numbers, visit :
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Answer:
The answer is 10
Step-by-step explanation:
If two adjacent angles of a parallelogram are (5x-5) and (10x+35),then find the ratio of these angle’s
Answer:
Ratio= 45/135 = 1/3 = 1:3
Step-by-step explanation:
Look at the attachment
Write an expression to represent Vivian's change in elevation from -9.6 feet at the bottom of the Ferris wheel to 12.3 feet at the top.
The change in the elevation from the bottom of the Ferris is 21.9 feet.
What is defined as the change in elevation?Elevation change refers to the difference in elevation between the beginning and end of your route.
Given that the distance travelled by Vivian just at bottom of the elevation is -9.6 feet.
The distance traveled by Vivian at the top of the elevation is 12.3 feet.
Vivian's shift in elevation would be expressed as the difference between the elevations at the bottom and top.
Let Ei be the initial elevation of -9.6 feet.
Ef = 12.3 feet as the final elevation
Change in elevation;
ΔE = Ef - Ei
ΔE = 12.3 - (-9.6)
ΔE = 12.3 + 9.6
ΔE = 21.9 feet
Therefore, the change in the elevation is found to be 21.9 feet.
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A hotel business center charges $40 per hour to rent a computer plus a $65 security deposit. The total rental charge is represented by f(X)=40+65. How would the equation change if the business center increased the security deposit by $15?
Answer:
The equation would change to f(x)=40x+80
Step-by-step explanation:
you add 15 to the 65 as that is the security deposit
Answer: It is Yes
Step-by-step explanation:
1. Since y = 40x + 65 was the original equation, when added 15 dollars to the security deposit, the equation changed by adding 15 into 65, changing it's y-int.
Is -51/5 rational or irrational
Answer: rational
Step-by-step explanation: If a number is terminating number or repeating decimal, then it is rational.
Answer:
Rational
Step-by-step explanation:
If a number has a finite number of digits or could be written in a fraction that consists of numbers with a finite number of digits(-51 and 5 have a finite number of digits), then it is a rational number. Hence, -51/5 is a rational number.
Prove: The sum of two multiples of 3 is a multiple of 3.
3m+3n=[?](m+n)
= a multiple of []
The sum of two multiples of 3 is a multiple of 3. This shows the proof is correct.
How to illustrate the information?It should be noted that the information given is to prove that the sum of a multiple of 3 is also a multiple of 3.
This will be illustrated thus. Let's use the numbers 6 and 15. It should be noted that the addition of the numbers will be:
= 6 + 15
= 21
It should be noted that 21 is a multiple of 3. Therefore, the proofing is correct.
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