Answer:
0, it has no solution.
Step-by-step explanation:
Solve the system by elimination:
-2x + 2y + 3z = 0
-2x - y + z = -3
2x+ 3y + 3z = 5
50 points
explanation please
3f(-2)-4f(2)
Multiply a positive and a negative equals a negative: (+)×(-)=(-)
-3f×2-4f×2
Calculate the product
-6f-4f×2
-------------‐-------
-3f×2
Multiply a negative and a positive equals a negative: (-)×(+)=(-)
-(3×2)f
Multiply the numbers
-6f
-----------------------------------------------
-6f-8f
Collect like terms
-14f
ANSWER:-14f
PLEASE MARK ME AS BRAINLIEST
Answer:
14f is your answer
Step-by-step explanation:
The terminal side of angle θ intersects the unit circle in the first quadrant at (925,y). What are the exact values of sinθ and cosθ?
Correct question is;
The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25,y). What are the exact values of sinθ and cosθ?
Answer:
sinθ = (√544)/25) and cosθ = 9/25
Step-by-step explanation:
We are given that (9/25,y) lies on the unit circle. Thus, from general representation of equation of a circle, we can write that;
(9/25)² + y² = 1²
y² = 1 - (9/25)²
y² = (625 - 81)/25²
y² = 544/25²
y = ±(√544)/25
We are told the point is in the first quadrant and so we will choose the positive value of y = (√544)/25.
Therefore, the terminal side of the angle θ intersects the unit circle at [9/25, (√544)/25)]
In unit circle geometry, cosθ = x, while sinθ = y.
Thus; sinθ = (√544)/25) and cosθ = 9/25
The exact value of [tex]sin\theta[/tex] and [tex]cos\theta[/tex] is [tex]cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex] and this can be determined by forming the equation of circle.
Given :
The terminal side of angle [tex]\theta[/tex] intersect at unit circle ([tex]\frac{9}{25}, y[/tex]).
From general representation of equation of circle , we can write
[tex]x^{2} + y^{2} = a^{2}\\[/tex]
[tex](\frac{9^{2} }{25^{2} })[/tex] + [tex]y^{2} = 1^{2}[/tex]
[tex]y^{2} = 1 - \frac{81}{625}[/tex]
[tex]y^{2} = \frac{625-81}{625}[/tex]
[tex]y^{2}=\frac{544}{625}[/tex]
Taking square root both sides
[tex]y= \frac{\sqrt{544} }{\sqrt{625} }[/tex]
[tex]y = \frac{\sqrt{544} }{25}[/tex]
We are taking only because point lies in first quadrant.
The terminal side of angel [tex]\theta[/tex] unit circle in first quadrant at [tex](\frac{9}{25} , \frac{\sqrt{544} }{25})[/tex]
In unit circle
[tex]x = cos\theta , y = sin\theta[/tex]
[tex]\rm cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex].
For more information click on the link gives below
https://brainly.com/question/23841023
On a lunch counter, there are 3 oranges, 5 apples, and 2 bananas. If 3 pieces of fruit are selected, find the probability that 1 orange, 1 apple, and 1 banana are selected (does not have to be in that order).
Answer:
[tex]Probability = \frac{1}{24}[/tex]
Step-by-step explanation:
Given
[tex]Oranges = 3[/tex]
[tex]Apples = 5[/tex]
[tex]Banana = 2[/tex]
[tex]Total = 10[/tex]
Required
Determine the probability of 1 orange, 1 apple and 1 banana
Since, order is not important:
[tex]Probability = P(Orange) * P(Apple) * P(Banana)[/tex]
[tex]Probability = \frac{3}{10} * \frac{5}{9} * \frac{2}{8}[/tex]
The difference in the numerator is as a result of picking the fruit without replacement
[tex]Probability = \frac{30}{720}[/tex]
[tex]Probability = \frac{1}{24}[/tex]
Probability is simply how likely something is to happen.
The probability of 1 orange, 1 apple, and 1 banana are [tex]\frac{1}{24}[/tex]
On lunch counter,
Number of oranges = 3
Number of apples = 5
Number of bananas = 2
If 3 piece of fruit is selected then, probability of 1 orange, 1 apple and 1 banana
[tex]=\frac{3}{10}*\frac{5}{9} *\frac{2}{8} \\\\=\frac{30}{720}\\\\=\frac{1}{24}[/tex]
Therefore, the probability of selecting 1 orange, 1 apple, and 1 banana are [tex]\frac{1}{24}[/tex]
Learn more:
https://brainly.com/question/15589719
POSSIBLE POINTS: 3.33
Tracy wants to buy some pies for her sisters and she has a budget of $82 to spend on $5
apple pies, $4.5 banana pies, and $5.5 chocolate pies. She wants to buy 16 pies for her
sisters and must buy as many chocolate pies as apple pies and banana pies combined.
How many of each item should she buy? Write a system of equations to help you solve
this problem.
# of applie pies =
# of banana pies =
# of chocolate piles =
1
2 3
Answer:
From the information given, you can write the following system of equations:
x+y+z=16 (1)
5x+4.5y+5.5z=82 (2)
z=x+y (3)
You can replace (3) in (1) and (2):
x+y+x+y=16
2x+2y=16 (4)
5x+4.5y+5.5(x+y)=82
5x+4.5y+5.5x+5.5y=82
10.5x+10y=82 (5)
Now, you have the following equations:
2x+2y=16 (4)
10.5x+10y=82 (5)
You can isolate x in (4):
2x=16-2y
x=8-y (6)
Then, you have to replace (6) in (5):
10.5(8-y)+10y=82
84-10.5y+10y=82
84-82=10.5y-10y
2=0.5y
y=2/0.5
y=4
Now, you can replace the value of y in (6) to find x:
x=8-4
x=4
Finally, you can replace the vaue of x and y in (3) to find z:
z=4+4
z=8
According to this, she should buy 4 apple pies, 4 banana pies and 8 chocolate pies.
7. Which statements about the values of 2.044
and 20.44 are true?
Answer:
20.44>2.044
Step-by-step explanation:
HELP ME PLEASE 40 POINTS!!!!!!!
Answer:
The answer is The first one -10/27
Answer:
A
Step-by-step explanation:
T is the midpoint of KL. K has coordinates (2,−6), and T has coordinates (−4,2). Identify the coordinates of L.
Answer:
[tex]L = (-10,10)[/tex]
Step-by-step explanation:
Given
[tex]K = (2,-6)[/tex]
[tex]T = (-4,2)[/tex]
Required
Determine the coordinates of L
Since T is the midpoint of K and L, we make use of:
[tex]T_x = \frac{K_x + L_x}{2}[/tex]
and
[tex]T_y = \frac{K_y + L_y}{2}[/tex]
Solving for [tex]L_x[/tex]
[tex]T_x = \frac{K_x + L_x}{2}[/tex]
[tex]-4 = \frac{2 + L_x}{2}[/tex]
Multiply through by 2
[tex]-8 = 2 + L_x[/tex]
[tex]L_x = -8 - 2[/tex]
[tex]L_x = -10[/tex]
Solving for [tex]L_y[/tex]
[tex]T_y = \frac{K_y + L_y}{2}[/tex]
[tex]2 = \frac{-6+L_y}{2}[/tex]
Multiply through by 2
[tex]4 = -6 + L_y[/tex]
[tex]L_y = 4 + 6[/tex]
[tex]L_y = 10[/tex]
Hence: The coordinates of L is:
[tex]L = (-10,10)[/tex]
Alex has to fill his 10 gallon fish tank with water. He only has a 1 pint bucket. How many times will he have to fill his bucket to fill the tank?????W
Answer:
80
Step-by-step explanation:
8 pints in a gallon so then you multiply 8 x 10 and get 80
Answer:
80
Step-by-step explanation:
1 gallon = 8 pints8 × 10 = 80I hope this helps!
Describe the similarities and differences between a bar graph and a histogram.
Answer:
Bar graphs are used with nominal or ordinal scores; histograms are used with interval or ratio scores.
Step-by-step explanation:
Solve for x.
- 4.5 = - 0.5 ( x - 7.1 )
Answer:
x= 16.1
Step-by-step explanation:
Answer:
Step-by-step explanation:
x=16.1
Paul split an inheritance between two investments, one paying 7% annual interest and the other 10%. He invested twice as much in the 10% investment as he did in the 7% investment. If his combined annual income from the two investments was $4050, how much did he inherit?
What is the distance between -3 and 2 on the number line?
-5-4-3
1
2
3
4
5
-5
-1
_ _
7
1
Answer: the answer is 190 to the power of 7
Step-by-step explanation:
so u just have to multiply by 35 and u will get the answer
Answer:
4
Step-by-step explanation:
(-3) -2 -1 0 1 (2)
that therefore counting from left to right will give us 4 because there are 4 numbers inbetween (-3) and (2).
Graph the function.
y=-1/2(x+2)^2+3
you must have a common denominator when ? fractions
Step-by-step explanation:
ADD::If the denominators are not the same, you must find the common denominator by finding the least common multiple of the 2.
SUBTRACT::If the denominators are not the same, you must find the common denominator by finding the least common multiple of the 2.
4950/6 + 112 x 1.75 = ? x 2
Answer:
1021
Step-by-step explanation:
Answer:
1021 is the answer to this question
The first three terms of an arithmetic sequence are as followed 13,19,25
Answer:
31, 37
Step-by-step explanation:
common difference is 6
The fourth and fifth terms of the arithmetic sequence will be 31 and 37, respectively.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The sequence is given below.
13, 19, 25
The first term is 13 and the common difference is given as,
d = 19 - 13
d = 6
Then the fourth term is given as,
⇒ 25 + 6
⇒ 31
Then the fifth term is given as,
⇒ 31 + 6
⇒ 37
The fourth and fifth terms of the arithmetic sequence will be 31 and 37, respectively.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ2
2) Chicken soup is 3 cans for $0.55. How much would a
dozen soup cans cost?
Answer:
It would cost $2.20
Step-by-step explanation:
If 3 cans = $.55
then 3*4 = 12
soooo 4*.55 = 2.20
Hope this helps!!!
Please help me solve What is m
Answer:
a=60
b=85
c=35
Step-by-step explanation:
a is shown to be 60 in the text along with c being 85 with its angle so just add 60 and 85 to get 145 and fill in the remaining to get 180 which gives you c as 35
Is 18.18 rational or irrational
Answer:
Rational
Step-by-step explanation:
You are able to put 18.18 in a fraction.
Hope this helped, Have an AMAZING day/night!
Pls help 8th grade math
FILL IN THE BLANKS !!
Learning Task 2: Solve each problem using the application of LCM and
GCF
1.) In Art class, Mrs. Lucia had 36 sheets of green paper and 42 sheets of
blue paper. If Mrs. Lucia wanted to give an equal number of each type of
paper, how many sheets of paper should each pupil get?
Answer:
Each pupil get 6 sheet
Step-by-step explanation:
Given:
Number of green sheet = 36
Number of blue sheet = 42
Find:
Common factor
Computation:
36 = 6 x 6
42 = 6 x 7
So, 6 is a common factor
Each pupil get 6 sheet
Each student should get 6 papers
The lowest common multiple is the smallest factor of a set of numbers.
The highest common factor is the biggest factor of a set of numbers.
A multiple of a number is a number that can divide another number without a remainder.
Factors of 36 =1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42.
The common factors of both numbers are : 1,2,3,6
Each student should get 6 papers
To learn more about highest common factor, please check: https://brainly.com/question/18650233?referrer=searchResults
solve each system by substitution
x – y = -4
2x + y = 4
Answer:
Step-by-step explanation:
x -y = -4
2x + y = 4
3x = 0
x = 0
0 + y = 4
y = 4
(0,4)
g What is the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty?
Answer:
16Step-by-step explanation:
In order to get the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty, we need to calculate the power of the set having four elements. Let the set containing the element be A as shown;
Let set A = {a, b, c, d}
Power of the set P(A) = [tex]2^n[/tex] where:
n is the total number of element in the set. Since we have four elements in the set, n = 4
[tex]P(A) = 2^4\\P(A) = 16[/tex]
This means that the set A have 16 subsets. The subsets of the set are:
{}, {a}, {b}, {c}, {d}, {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}, {a, b, c}, {a, b, d}, {b, c, d}. {a, c, d}, {a, b, c, d}.
From all the subsets, it can be seen that intersection of set {a} and {b}, {a} and {c}, {c} and {d} are empty.
Hence the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty is 16
Real Numbers Quiz Active 1 2 3 4 Which answer describes the type of numbers that are dense? whole numbers and integers O whole numbers but not integers rational numbers and irrational numbers rational numbers but not irrational numbers
Answer:
C. rational numbers and irrational numbers
Step-by-step explanation:
Rational numbers are those numbers that can be used to express the ratio of two whole numbers. An example is the figure 2. It can be expressed as a fraction of another number like when we write 2/8. Both figures are rational. Irrational numbers cannot be used to express the ratio of two whole numbers or integers. An example is a digit like 0.666666... Rational and irrational numbers are real numbers because real numbers encompass all the types of numbers we can think of, positive, negative, decimals, whole, etc.
The density of numbers is seen in the fact that there is no vacuum created between real numbers when plotted on the number line.
A pet store has 6 cats. Here are their weights (in pounds).
6, 13, 9, 14, 5, 7
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth
Answer:
9
Step-by-step explanation:
6+13+9+14+5+7=54
54/6= 9
Answer:
the mean is 9
Step-by-step explanation:
add 6+13+9+14+5+7=54
and 54 divided by 4 equals=9
How to find a mean in any question
Count the number N of data points in your data set.
Sum up all of the data points in your data set (add them all together).
After adding them divided the sum added by the number of numbers
EX1:1,2,43,5,6-there are 5 numbers so you divided 5 by the sum
−2(−1 1/4) Multiply. Write your answer as a fraction in simplest form.
Answer:
I want to say 2.5
Step-by-step explanation:
What polyhedron can be assembled from this net? Explain how you know.
Answer:
Step-by-step explanation:
You can fold the two big rectangles together and make a kinda box like thing, with the triangles as faces, but... there's no top!
The length of a rectangle is three times its width.
If the perimeter of the rectangle is 56 yd, find its area.
Answer:
147 yards
Step-by-step explanation:
Use a system of equations
Let x be length of rectangle and y be width of rectangle
x = 3y
2x + 2y = 56
Substitute x = 3y into second equation, we have 2(3y) + 2y = 56. Combine like terms and we have 8y = 56. y = 7.
Substituting y = 7 into the first equation, we have x = 3(7), and x = 21.
Area is length times width, so area is 21 * 7 = 147
Answer:
area= 147 yd
Step-by-step explanation:
l= 21 yd
w= 7 yd
Formula: a=lxw (area=length x width)
a=21 x 7
21 x 7=147 yd
the answer to the universe, life, and everything
Answer:
my life hurts now
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
GET A BOOK U MORON