Answer:
x + y = 4 , x − y = 2
x + 2 y = 4 , x − y = − 3
x 2 − y = 2 , 2 x − y = − 1
Step-by-step explanation:
Answer:
x=-4
Step-by-step explanation:
x-8=2x-4
+8 +8
---------------
x=2x+4
-2 -2
-----------
-x=4
-1 -1
----------
x=-4
Sabrina is building a bookend from two identical wooden rectangular prisms as shown in the figure. what is the volume of wood used in sabrina bookends
A.320 cubic centimeters
B.640 cubic centimeters
C.656 cubic centimeters
D.672 cubic centimeters
Answer:
A. 320 cubic centimeters
Step-by-step explanation:
First, you want to multiply 4 by 4 to get 16. Then what you want to be is multiply 16 by 20 and you will get 320 cubic centimeters.
Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector and as a linear combination of unit vectors i and j.
Answer:
Vector (ordered pair - rectangular form)
[tex]\vec F = (27.189,12.679)\,[lbf][/tex]
Vector (ordered pair - polar form)
[tex]\vec F = (30\,lbf, 25^{\circ})[/tex]
Sum of vectorial components (linear combination)
[tex]\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N][/tex]
Step-by-step explanation:
From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.
The force ([tex]\vec F[/tex]), in pounds-force, can be modelled in two forms:
Vector (ordered pair - rectangular form)
[tex]\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)[/tex] (1)
Vector (ordered pair - polar form)
[tex]\vec F = \left(\|\vec F\|, \theta\right)[/tex]
Sum of vectorial components (linear combination)
[tex]\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}[/tex] (2)
Where:
[tex]\|\vec F\|[/tex] - Norm of the vector force, in newtons.
[tex]\theta[/tex] - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.
[tex]\hat{i}[/tex], [tex]\hat{j}[/tex] - Orthogonal axes, no unit.
If we know that [tex]\|\vec F\| = 30\,lbf[/tex] and [tex]\theta = 25^{\circ}[/tex], then the force exerted on the wagon is:
Vector (ordered pair - rectangular form)
[tex]\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf][/tex]
[tex]\vec F = (27.189,12.679)\,[lbf][/tex]
Vector (ordered pair - polar form)
[tex]\vec F = (30\,lbf, 25^{\circ})[/tex]
Sum of vectorial components (linear combination)
[tex]\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N][/tex]
[tex]\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N][/tex]
What is the greatest common factor (GCF) of the polynomial
below.
12x3 + 4x2 – 8x
Answer:
The greatest common factor is 4
Step-by-step explanation:
1) 12x3+4x2-8x
2) (12x3)+(4x2)-8x
3) 36+(4x2)-8x
4) 36+8-8x
5) 44-8x
6) 4(11-2x)
solve this system of equations using the substitution method
y=x+7
-2x-11=y
Answer:
x=-6, y=1
Step-by-step explanation:
Let's solve your system by substitution.
y=x+7;−2x−11=y
Step: Solve y=x+7 for y:
y=x+7
Step: Substitute x+7 for y in −2x−11=y:
−2x−11=y
−2x−11=x+7
−2x−11+−x=x+7+−x(Add -x to both sides)
−3x−11=7
−3x−11+11=7+11(Add 11 to both sides)
−3x=18
−3x/ −3 = 18/ −3 (Divide both sides by -3)
x=−6
Step: Substitute−6 for x in y=x+7:
y=x+7
y=−6+7
y=1 (Simplify both sides of the equation)
Answer:
x=−6 and y=1
Vilgot made a hat, then a scarf. He graphed the relationship between the total weight (in grams) of the yarn he had used and the length (in centimeters) of the scarf.
What feature of the graph represents how much of the yarn Vilgot used for the hat?
Answer:
x-intercept
Step-by-step explanation:
Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.
A. 36
B. 80
C. 120
D. 200
Answer:
A. 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
Oliver's Interviewees
10-graders
Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
Cross multiply
123.2 were 10-graders interviewed by Oliver
9th-graders
Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
Cross multiply
52.8 were 9th-graders interviewed by Oliver
Jenny's Interviewees
9th-graders
Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
Cross multiply
105 students were 9th-graders interviewed by Jenney.
10th-graders
Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
Cross multiply
35 students were 10th-graders interviewed by Jenney.
Total calculation
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
Therefore, there are 36 more 10th than 9th.
For more information, visit: https://brainly.com/question/23490909
Which angle has a cotangent value of -1?
a. Quadrant 1
b. Quadrant 2
c. 120 degrees
d. 135 degrees
Answer:
Solution given:
cotangent x=cot x=-1
now
x=cot -¹(-1)
x=180-45°
x=135°
So
ans is d. 135 degrees.
as cot is negative in 2nd quadrant.
-10
f(x)
x2 + 5x and g(x) = x + 4
Find f(g(x))
x2 + 13x + 16
2? + 30 + 36
x2 + 13x + 36
x2 + 3x + 20
9 10
Answer:
BOGO ko sa math
Step-by-step explanation:
hahaha sorryyyyy
A hotel swimming pool is made up of four semicircles and a square. Find the perimeter of the swimming pool. Round your answer to the nearest tenth. The perimeter is about yards.
Answer:
75.4yd
Step-by-step explanation:
Find the diagram attached
Perimeter of the figure = perimeter of the 4 semicircles
Perimeter of a semicircle = πd/2
d is the diameter of the semicircle = 12yd
Perimeter of a semicircle = 3.14(12)/2
Perimeter of a semicircle = 37.68/2
Perimeter of a semicircle = 18.94yd
Perimeter of the 4 semicircles = 4 * 18.94
Perimeter of the 4 semicircles = 75.36yd
Hence the perimeter of the swimming pool to nearest tenth is 75.4yd
The sophomore class is organizing a picnic and bought 1300 hot dogs and hamburgers for the event. The hotdogs cost $0.59 each and the hamburgers cost $0.98 each before tax. The total bill came to $1041.37, which
included $79.37 in tax. Write only the system you would use.
0.59 h + 0.98 b = 1041.37 - 79.37
h + b = 1300
i need help! would appreciate it
Answer:
x = 0.6
Step-by-step explanation:
We use tangent because the given numbers are opposite and adjacent from x
So, tangent (x) = opposite/adjacent
tan(x) = 8.78/12
[tex]tan^{-1}(\frac{8.78}{12}) = x[/tex]
x = 0.631664
Round to nearest tenth:
x ~ 0.6
Answer asap i got school in one hour and forgot to do this (im putting all my points for this)
Answer:
I belive the answer for the first box is 9.67
I belive the answer for the second box is 71.
I hope I helped
Find the perimeter and area of the polygon shown below.
A. P= 80 feet, A = 368 square feet
B. P = 80 feet, A = 360 square feet
C. P= 95 feet, A = 420 square feet
D. P = 60 feet, A = 368 square feet
Answer:
I would say it's d (sorry if im wrong)
When Natalie commutes to work, the amount of time it takes her to arrive is normally
distributed with a mean of 25 minutes and a standard deviation of 4 minutes. Using
the empirical rule, what percentage of her commutes will be between 17 and 33
minutes?
Answer: 95%
Step-by-step explanation:
Ayudenme no le entiendo :(
Help I don't understand :(
Answer:
65 degrees
Step-by-step explanation:
90 - 25 = 65
Answer and Step-by-step explanation:
To find x, we need to subtract all of the other angles from 180.
180 - 25 = 155
155 - 90 (that's the right angle) = The answer is 65.
The other way to find x is be subtracting 25 from 90, since 25 and x, when added together, forms a right angle, which is 90.
#teamtrees #PAW (Plant And Water)
I need help with this question this one and a couple more and im done with this EdPuzzle
Find two numbers between 100 and 150 with HCF 24
Answer:
120 and 144
120÷24=5
144÷24=6
help please
12) In the accompanying diagram of circle O, AB is a chord and PQ is a tangent.
Line segment BOC is a diameter and DEOFP is a secant that passes through the center of the circle. ArcDA ArcAC: ArcCF = 2:10:6, and ArcBQ = 80°.
Find:
a) Arc AC
b) m angle ABC
c) m angle COF
d) Arc BD
e) Arc QF
f) m
Market researchers were interested in the relationship between the number of pieces in a brick-building set and the
cost of a set. Information was collected from a survey and was used to obtain the regression equation ý = 0.08x +
1.20, where x represents the number of pieces in a set and is the predicted price (in dollars) of a set. Which
statement best describes the meaning of the y-intercept of the regression line?
Answer: c. When the number of pieces is 0, the predicted price is $1.20. This interpretation is not meaningful because a set cannot have 0 pieces
Step-by-step explanation:
The y-intercept in a regression equation shows the value of y when x is 0. For this scenario therefore, the y-intercept is the predicted price of a set when the number of pieces in the set is 0. As the y-intercept is 1.20, this means that when there are no pieces in the set, the predicted price is $1.20.
This however is not logical or meaningful because a set cannot have 0 pieces and if it did, it wouldn't make sense for somebody to pay $1.20 for it.
When the number of pieces is 0, the predicted price is $1.20.
This interpretation is not meaningful because a set cannot have 0 pieces.
We have given that,
Market researchers were interested in the relationship between the number of pieces in a brick-building set and the cost of a set.
What is the regression equation?
regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.
The y-intercept in a regression equation shows the value of y when x is 0. For this scenario, therefore, the y-intercept is the predicted price of a set when the number of pieces in the set is 0. As the y-intercept is 1.20, this means that when there are no pieces in the set, the predicted price is $1.20.
This however is not logical or meaningful because a set cannot have 0 pieces and if it did, it wouldn't make sense for somebody to pay $1.20 for it.
To learn more about the regression equation visit:
https://brainly.com/question/25987747
#SPJ2
WILL MARK AS BRAINLIEST!!
if y varies directly as x and y=3 when x=12, what is the value of y when x=18
Answer: y=6
Step-by-step explanation:
Data: y=3 and x=12
y=? and x=18
12/3=4 and 18/3=6
y=6
I hope this helps
What fraction is greater than 3/5
Answer:
4/5
Step-by-step explanation:
Choose the inequality that represents the following graph.
Amy said 4/9 of her teammates got hits during a recent softball game. Which decimal represents this same amount?
A 0.49
B. O 0.444
c. O 0.49
D. 0.444
Answer:
.....Your answer is D
...
.
A rabbit population doubles every 6 weeks. There are currently seven rabbits in a restricted area. If t represents the time, and weeks, and P(t) is the population of the rabbits, about how many rabbits with there be 126 days?
Answer:
56 rabbits
Step-by-step explanation:
Given that t represents the time, and weeks, and P(t) is the population of the rabbits and that the population doubles every 6 weeks.
In 126 days, there are
= 126/7
= 18 weeks
It means that the rabbit population will double
= 18/6 times
= 3 times
Since there are currently 7 rabbits at the end of 6 week,
P(6) = 7 * 2
= 14
At the end of 12 weeks
P(12) = 14 * 2 = 28
At the end of 18 weeks
P(18) = 28 * 2 = 56
Hence there will be 56 rabbits at the end of 126 days
An isosceles triangle has two angles that measure 37 degrees. What is the measure of the third angle
Answer:
106°
Step-by-step explanation:
An isosceles triangle has 2 sides of the same length. All triangles add up to 180°
37 + 37 + x = 180
74 + x = 180
x = 106
Use the equation ˆ y = 16.279 − 0.206 x to find the value of ˆ y given x = 48 . Round the result to the nearest tenth.
Answer:
[tex]y=6.391[/tex]
Step-by-step explanation:
Given
[tex]y=16.279 - 0.206x[/tex]
Required
Find y when [tex]x = 48[/tex]
Substitute [tex]48[/tex] for [tex]x[/tex] in [tex]y=16.279 - 0.206x[/tex]
[tex]y=16.279 - 0.206 * 48[/tex]
Multiply
[tex]y=16.279 - 9.888[/tex]
Subtract
[tex]y=6.391[/tex]
PLZZZ HELPP MEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
question 1
[tex]6 {x}^{4} - 36 {x}^{3} \\ 6 {x}^{3} (x - 6)[/tex]
question 2
[tex]64 {x}^{2} + 48x + 9 \\ {(8x + 3)}^{2} [/tex]
Find x
Secant tangent angles
ILL MARK BRAINLIEST!!!
Answer:
[tex]x = \frac{50 + 92}{2} = 71[/tex]
The temperature at 3:00 PM was 35°F. The
temperature had dropped 45 degrees by 9:00 PM.
What was the temperature in degrees Fahrenheit at
9:00 PM ?
Answer:
- 10 degrees Fahrenheit at 9:00 PM
Step-by-step explanation:
35 - 45 = -10
Which holds more, a cylinder with a height of 10.0 cm and a diameter of 7.0 cm or a cylinder with a height of 7.0 cm and a diameter of 10.0 cm? Explain your answer using calculations. *
Answer:
The cylinder with a height of 7.0 cm and a diameter of 10.0 cm
Step-by-step explanation:
v = πr²h
---------------------
cylinder with a height of 10.0 cm and a diameter of 7.0 cm
v = π(3.5²)10
v = 384.65 cm³
cylinder with a height of 7.0 cm and a diameter of 10.0 cm
v = π(5²)7
v = 549.5 cm²
549.5 > 384.65
The second cylinder holds more