Answer:
Step-by-step explanation:
If the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8
The engine speed is at maximum if dy/dx = 0
dy/dx = -2(3.75)x+23.2
dy/dx = -7.5x + 23.2
since dy/dx = 0
0 = -7.5x + 23.2
7.5x = 23.2
x = 23.2/7.5
x = 3.093
Hence the maximum torque is 3.09 rev/min
The smiths previously lived in a house that had 1450 sq ft of space. The sq ft of their new home is 3800 sq ft. What is the percent increase of their living space?
Answer:
162.1%
Step-by-step explanation:
Given that:
Size of previous living space = 1450 sq ft
Size of new living space = 3800 sq ft
% increase in living space ;
Increase in living space = 3800 - 1450 = 2350 sq feet
(Increase / previous size) * 100%
(2350 / 1450) * 100%
1.6206 * 100%
= 162.06%
= 162.1%
A banker earns a $75,000 annual salary, a 2,35% commission on any approved loans for the bank’s business customers, and a fee of $3.75 for each application processed. If the banker has a total of 2.8 million in approved business loans and processes 2,750 applications this year, what are the banker’s earnings rounded to the nearest dollar ??
Answer:
Amount earned = $151,113
Step-by-step explanation:
Here, we are interested in calculating the banker’s earnings rounded to the nearest dollar;
We proceed as follows; we have the following;
1. Annual salary of $75,000
2. 2.35% on approved loans.
Approved loans = 2.8 million
Commission = 2.35/100 * 2.8 million = $65,800
3. $3.75 for each processed loan application
Total = 2750
Amount = 3.75 * 2750 = $10,312.50
Total amount earned is thus;
$75,000 + $65,800 + $10,312.50 = 151,112.5 = 151,113 to the nearest dollar
Find the slope of the line.
y = 3/4x + 207
Please help!! I have to submit soon!
Answer:
B
Step-by-step explanation:
Mark me as brainliest please :)
so ive been trying to figure this out but i cant!
Answer:
This is a linear graph.
Step-by-step explanation:
Since the x values increase at a constant of 1. The y-values have a 1st difference of -4 which means the graph is linear.
from the diagram, identify a pair of corresponding angles
i need helppp!
Answer:
2 and 6, 1 and 5
Step-by-step explanation:
Answer:
1&5
Step-by-step explanation:
Which is a different way to express 7 ( y+ 6) ?
Im not sure if this answers your question, there isn't much detail.
If we were to do the distrubitive property -- 7y+42
Please help ASAP I’ll give top rating
Answer:
I honestly have no clue what the answe is
Step-by-step explanation:
tell your teacher "should people be penelised for something they didnt do" Teacher-"No that is unfair" you-"i didnt do my work"
help me!!! its geometry.. plz help and thank you!!
Answer:
1. m<1 + <2 = m<4; given
2. m<3 + m<4 = 180; linear pair postulate
3. m<1 +m<2 + m<3 = 180; substitution property
1. <1 is congruent to <4; given
2. <1 is congruent to <2, <3 is congruent to <4; vertical angle congruency theorem
3. <2 has to be congruent to <3; transitive property
Step-by-step explanation:
Can somebody please help me answer this question
Answer:
18
Step-by-step explanation:
Triangle ABC has vertices at A (1,-3), B (3,0)x and C (5,-3). What is the distance from vertex B to the midpoint of AC?
Answer:
The distance from vertex B to the midpoint of AC is 3 units
Step-by-step explanation:
we are given a triangle with vertices A (1,-3), B (3,0) and C (5,-3).
Mid point of of AC (x,y) = ( 1+5/2 , -3 -3/2)
= ( 6/2 , -6/2)
= (3 , -3)
Distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
= [tex]\sqrt{(3-3)^2 + (0 + 3) ^2}[/tex]
= [tex]\sqrt{(3)^2}[/tex]
= 3 units
Solve for y, Angle Q and Angle S
Answer:
hope
Step-by-step explanation:
Given the two points (0,4) and (2, 6), what would the numerator of the equation for slope be?
2 - 0
6 - 2
2 - 4
6 - 4
Answer:
6-4
Step-by-step explanation:
You got the 6 from the (2, 6) and you got the 4 from the (0, 4). The numerator is always (I think) the second number.
Hope this helps!!
A sea turtle was
swimming 80 feet below
sea level. If it swims to the
surface for air, what is its
new position?
Answer:
0
Step-by-step explanation:
anything below sea is negative and anything above sea level is positive. but you are at sea level so 0
Answer:
0
Step-by-step explanation:
Because he was at -80 the they dove up positive 80 so that would equal 0
A plane is traveling at a constant speed of K miles per hour. Which coordinate is
represented on the graph?
A. 1,K
B. K,K
C. K,1
Brainly
Answer:
Option (A)
Step-by-step explanation:
Plane is travelling at a constant speed = K miles per hour
K = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
Distance = k(Time)
For Time of traveling = 1 hour
Distance traveled = k × 1
= k miles
Therefore, k miles will be traveled in one 1 hour and ordered pairs of the given point on the line will be (1, k)
Option (A) will be the correct option.
what is 0.3 + 0.27 is it 30?
Answer:
0.3+0.27=0.57
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
0.3-0.27=0.57
hope this helps :3
if it did pls mark brainliest
Will mark brainliest to answer with explanation
In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?
4 + 3p ≤ 40
4 + 3p ≥ 40
4p + 3 ≥ 40
4p + 3 ≤ 40
Answer:
4 + 3p ≥ 40
Step-by-step explanation:
4 points in the first round plus 3p (identical scores) has to be at least 40 points or higher to move on.
You are riding your scooter to a town that is 120 miles away and you can maintain a speed of 30 mph. How long will it take you?
Answer:
4 hours
Step-by-step explanation:
120 ÷ 30 = 4
Hope this helps. Pls give brainliest.
The subject of the formula below is y
y=4x+3
Rearrange the formula to make x the subject
Answer:
x = (y - 3)/4.
Step-by-step explanation:
y = 4x + 3
y - 3 = 4x
x = (y - 3)/4.
Step-by-step explanation:
y=4x+3
all divide by 3
4x=y/3
cross multiple
12x=y
divide both sides by 12
therefore, x is equal to y/12
9/10 de las razas alienígenas piensan que invadir la Tierra es una mala idea. ¿Qué porcentaje de razas alienígenas piensa que invadir la Tierra es una mala idea?
Answer:
90%
Step-by-step explanation:
De la pregunta anterior, se nos ha dado la fracción de razas alienígenas que piensan que invadir la Tierra es una mala idea, que es = 9/10
El porcentaje se calcula como:
9/10 × 100
= 90%
Por lo tanto, el porcentaje de razas alienígenas que piensan que invadir la Tierra es una mala idea es del 90%.
A teacher is buying bags of chips for a grade-level picnic. The teacher wants to spend at most $36 on chips.Each bag of costs 2.95.
Which inequality represents the number of bags of chips,x, the teacher can purchase?
An inequality that represents the number of bags of chips, x, the teacher can purchase is [tex]2.95x \leq 36[/tex].
Let the number of bags of chips be x.Given the following data:
Total amount spent = $36Cost of each bag of chips = $2.95To write an inequality that represents the number of bags of chips, x, the teacher can purchase:
In this exercise, you're required to write a mathematical expression to represent the total number of bags of chips (x) that a teacher can purchase without exceeding his or her budget of $36.
Translating the word problem into an algebraic expression, we have;
[tex]2.95x \leq 36[/tex]
Find more information: https://brainly.com/question/4728821
eeeeeeeeeeeeeeeeeeeeeeeeeva fast answer
Answer:
51
Step-by-step explanation:
find the percent for each (34 and 33) subtract from their whole (220 and 170) then subtract from each other
find the slope of a line parallel to each given line y = 1
Answer:
its undefined i believe. theres no x the slope would be 0 but i'm not sure
Step-by-step explanation:
podem me ajudar é urgenteeeee
Resolva o sistema 3x + y = 3 e 3x + 4y = 30. O valor de y é igual a:
a)9
b)3
c)2
d)1
03. Se x = 5y e x + 3y = 16, qual o valor da variável y:
a)1
b)2
c)3
d)4
Answer:vTerm of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.
this is true because the explanation gives us an answer as long
Step-by-step explanation: Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.
Which is NOT true?
A. 16 + 3 = 11 + 8
B. 16 = 16
C. 16 - 4 = 7 + 6
D. 16 = 19 - 3
Answer:
c
Step-by-step explanation:
16-4=12
7+6=11
The false statement is;
C. 16 - 4 = 7 + 6
Given that;
The mathematical expression is;
A. 16 + 3 = 11 + 8
B. 16 = 16
C. 16 - 4 = 7 + 6
D. 16 = 19 - 3
We have to state the false statement.
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The mathematical expression is;
A. 16 + 3 = 11 + 8
Left hand side,
16 + 3 = 19
Right hand side,
11 + 8 = 9
Left hand side = Right hand side
Hence, This is true.
B. 16 = 16
Left hand side = Right hand side
Hence, This is true.
C. 16 - 4 = 7 + 6
Left hand side;
16 - 4 = 12
Right hand side,
7 + 6 = 13
Hence, This is false.
D. 16 = 19 - 3
Left hand side;
16
Right hand side,
19 - 3 = 16
Left hand side = Right hand side
Hence, This is true.
Therefore, The false statement is;
C. 16 - 4 = 7 + 6
Learn more about the mathematical expression visit:
https://brainly.com/question/19025984
#SPJ2
Joshua ran 1.45 miles, and Jasmine ran 1.5 miles who Ran Farther?
Answer:
Jasmine
Step-by-step explanation:
FREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTS
Is there anything needed for this question? I'm not willing to take "free points"
Jenna is putting a ribbon around the border of a square frame. The area of the frame is 196 square inches. How long will the ribbon need to be in order to go around the whole frame?
Answer: 56 inches
Step-by-step explanation:
Given that:
Area of square frame = 196 in²
Area of a square = a²
Where a = side length
Hence side length (a) of the square :
a² = 196
a = √196
a = 14
To find the length of the ribbon required :
Find the perimeter of the square :
Perimeter of a square = 4a
= 4 * 14
= 56 inches
FRER POINTS ANSWR NOW........
Answer:
Hey I’m early and actually get points
Step-by-step explanation:
Write an equation for the line?
Answer:
y = 2x + 3
Step-by-step explanation:
Given:
(2, 7) and (0, 3)
Find the slope between the two points:
(x1, y1) = (0, 3)
(x2, y2) = (2, 7)
(y2 - y1)/(x2 - x1)
(7 - 3)/(2 - 0)
4/2 = 2
m = 2
y = mx + a
y = 2x + a
Use one of the two points to find a (I will use point (2, 7):
7 = 2(2) + a
7 = 4 + a
a = 3
Slope-intercept Form: y = 2x + 3
Point-slope Form: y - 3 = 2x
Point-slope Form: y - 7 = 2(x - 2)
General equation: 2x - y + 3 = 0