Answer:
The points are collinear if the slope of any two pair of points is the same. Many infinite planes pass through that line. Thus, there are infinite planes contain the same three collinear plane.
Answer:
infinitely many
Step-by-step explanation:
well if you think about it in a 3D plane
we can make to planes intercept at a line
and we can make another plane that another plane interceptes the other to planes in the same line
and another
and another
...
so we can have three points in the line (collinear) that the planes intercept and we are done
The angle of elevation of the top of a tree is 60°. If the point of observation is 4m from the foot of the tree. How far is the point from the top of the tree?
Answer:
8m
Step-by-step explanation:
x = hypotenuse since they want the point of observation to the top of the tree
cos 60 = 4/x
x = 4 / cos 60
x = 8m
tery po
Find the volume of the cylinder.
Either enter an exact answer in terms of or use 3.14 for .
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units 3
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Answer:
150.72 units³
Step-by-step explanation:
volume = πr²h
= 3.14×4²×3
= 150.72
how do I solve this?
Answer:
71°
142°
Step-by-step explanation:
[tex] \because QS \: is \: the \: bisector \: of \: \angle \: PQR\\
\therefore m\angle RQS =m\angle PQS\\
\because m\angle RQS = 71\degree...(given) \\
\huge \red{ \boxed{\therefore m\angle PQS = 71\degree}} \\ \because \: m\angle \: PQR = m\angle PQS + m\angle RQS \\ \because \: m\angle \: PQR = 71\degree + 71\degree \\ \huge \purple{ \boxed{\therefore \: m\angle \: PQR = 142\degree}}[/tex]
2. For the graph, find AB to the nearest tenth
y
8
А
6
B
Answer:
10.8
Step-by-step explanation:
AB can be calculated using the formula [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
The coordinates of A are when x = -2, y = -2
At B, x = 8, y = -6
Let,
[tex] A(-2, -2) = (x_1, y_1) [/tex]
[tex] B(8, -6) = (x_2, y_2) [/tex]
Plug the values into the formula.
[tex] AB = \sqrt{(8 - (-2))^2 + (-6 -(-2))^2} [/tex]
[tex] AB = \sqrt{(8 + 2)^2 + (-6 + 2)^2} [/tex]
[tex] AB = \sqrt{(10)^2 + (-4)^2} [/tex]
[tex] AB = \sqrt{100 + 16} [/tex]
[tex] AB = \sqrt{116} = 10.8 [/tex] nearest tenth
A square field has an area of 12,100sqm. Find the
perimeter of the field.
a. 110m
b. 220m
C. 330m
d. 440m
Pls show working
Answer:
440m
Step-by-step explanation:
First you would square root the value 12100 to get one of the length of the square.
[tex]\sqrt{121000}[/tex]=110m
A square has four sides so,
110*4=440m
Answer:
440m
Step-by-step explanation:
Formula of a square's field : a square
So, area is 12,100. Then, let's take this value into the square root.
Now, we found the one edge of this square which is 110m
For finding perimeter, a square has a 4 edge. So, we multiple 110 x 4 = 440m.
Can someone double check my answers real quick?
Answer:
its correct
Step-by-step explanation:
check
Someone me help plz!!!
Answer:
(D) [tex]3 \pm i\sqrt{3}[/tex]
Step-by-step explanation:
We can solve this using the quadratic formula, where a is 1, b is -6, and c is 12.
[tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\frac{-(-6)\pm\sqrt{6^2-4\cdot1\cdot12}}{2\cdot1}\\\\\frac{6\pm\sqrt{36-48}}{2}\\\\\frac{6\pm\sqrt{-12}}{2}\\\\\frac{6\pm i\sqrt{12}}{2}\\\\3\pm i\sqrt{3}\\\\[/tex]
Hope this helped!
A company launches two new products. The market price, in dollars, of the two products after a different number of years, x, is shown in the following table: Product Function Year 1 (dollars) Year 2 (dollars) Year 3 (dollars) Product 1 g(x) = 2x 2 4 8 Product 2 h(x) = x2 + 12 13 16 21 Based on the data in the table, for which product does the price eventually exceed all others, and why? Product 1, because it has a lower start value Product 2, because it has a greater Year 3 value Product 1, because the function is exponential Product 2, because the function is exponential
Answer:
Product 1, because the function is exponential.
Step-by-step explanation:
If you take set the equation to 9 years. You will see that product one would be 2^9 = 512 and Product 2 would be 9^2 + 12 = 93. Product one will continue to grow exponentially while Product two will not grow as much in comparison.
Answer:
Product 2, because the function is exponential
Step-by-step explanation:
i got it right on my quiz
3.) If 24 is a multiple of x, and x > 2, which of
the following could also be a multiple of x ?
(A) 5
(B) 11
(C) 14
(D) 16
Step-by-step explanation:
The answer to your question is (D) 16. This is the answer because if count by 16's it goes 16, 24, 36, etc. since 24 is a multiple its could also be x
A graph has time on the x-axis and distance from home on the y-axis. Part A increases, part B is constant, part C increases, part D is constant, and part E increases. Which of these descriptions matches the graph? Jimmy is walking to a friend’s house at a constant rate. Jimmy is running late, so he starts to run to school but needs to take breaks. Jimmy is riding the bus to school at a decreasing rate. Jimmy’s bus drives at the same speed for parts A and C.
Answer: B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
1.) 3/9 + 2/9
2) 7/6 + 1/6
3.) 2/8 + 3/2
4.) 1/9 + 2/3
can you help I have to add fractions ..
Answer:
1. 5/9
2. 8/6 or 1 and 2/6
3. 1 3/4
4. 7/9
2x^2+2 + 3x^2- 1
I’m trying to combine like terms plz help
Answer:
5x^2+1
Step-by-step explanation:
2x^2 and 3x^2 are like terms so just add them which gives 5x^2.
2 and -1 are like terms so combine them to make 1.
Answer:
5x²-1
Step-by-step explanation:
We are given the expression:
[tex]2x^2+2 + 3x^2- 1[/tex]
and asked to simplify.
To simplify this expression, we must combine like terms.
2x²⇒ this has a variable, x²
2⇒ no variable
3x²⇒this has a variable, x²
-1⇒ no variable
Group the like terms.
[tex](2x^2 + 3x^2)+(- 1+2)[/tex]
Add 2x² and 3x². Add the coefficients and add an x² on the end.
[tex](2+3)x^2+(-1+2)[/tex]
[tex](5)x^2+(-1+2)[/tex]
[tex]5x^2+(-1+2)[/tex]
Combine -1 and 2.
[tex]5x^2+(-1)[/tex]
[tex]5x^2-1[/tex]
The expression 2x²+2+3x²-1 simplified is 5x²-1
The mass of a bacteria culture doubles every four days. If the initial sample is 5mg: a) how much will you have after one week (7 days). B) how long does it take to reach a mass of 320mg?
Answer:
a) 16.82 mg
b) 24 days
Step-by-step explanation:
Formula for exponential growth is given as:
[tex]A=A_0b^{\frac{t}{c}}[/tex]
Where A is the final population
[tex]A_0[/tex] is the initial population
b is the growth factor
c is the time taken for the growth 'b'
t is the amount of time
Here, We are given the following:
[tex]A_0[/tex] = 5 mg
b = 2 (Given because it doubles)
c = 4 days
a) A = ?
Using the formula:
[tex]A=5 \times 2^{\frac{7}{4}}\\\Rightarrow A=5 \times 2^{1.75} \\\Rightarrow A = \bold{16.82\ mg}[/tex]
b) Given
A = 320 mg
t = ?
Using the above formula again:
[tex]320 = 5 \times 2^{\frac{t}{4}}\\\Rightarrow \dfrac{320} 5= 2^{\frac{t}{4}}\\\Rightarrow 2^{\frac{t}{4}} = 64\\\Rightarrow 2^{\frac{t}{4}} = 2^6\\\Rightarrow \dfrac{t}{4} = 6\\\Rightarrow t = 6 \times 4\\\Rightarrow \bold{t = 24\ days}[/tex]
So, the answers are:
a) 16.82 mg
b) 24 days
6c - 8 - 2c - 16
What is the solution
Answer:
4 (c - 6)
Step-by-step explanation:
Simplify the following:
6 c - 2 c - 16 - 8
Hint: | Group like terms in 6 c - 2 c - 16 - 8.
Grouping like terms, 6 c - 2 c - 16 - 8 = (6 c - 2 c) + (-8 - 16):
(6 c - 2 c) + (-8 - 16)
Hint: | Combine like terms in 6 c - 2 c.
6 c - 2 c = 4 c:
4 c + (-8 - 16)
Hint: | Evaluate -8 - 16.
-8 - 16 = -24:
4 c + -24
Hint: | Factor out the greatest common divisor of the coefficients of 4 c - 24.
Factor 4 out of 4 c - 24:
Answer: 4 (c - 6)
what is 7.2910 rounded to the nearest tenth
Answer:
7.3
Step-by-step explanation:
Tenth is the first digit after decimal sign
Given number is:
7.2910Since the next digit after the tenth digit is 9>5, we add 1 to tenth digit and drop the rest digits on the right of digit 2
So we get:
7.3 as rounded numberThree-fifths of the employees at Mac's Discount
Grocery are female and one-fourth of the
employees are under the age of 18. If one-third
of the female employees are under the age of 18,
what is the ratio of males over the age of 18 to
males under the age of 18 who work at Mac's
Discount Grocery?
A) 7:4
B) 3:1
C) 4:1
D) 7:1
Let's assume that total employees are x .
Three - fifths of x is female employees .
→ Female employees = 3x/5 .
Then male employees will be :-
→ Male employees = x - 3x/5
So male employees are 2x/5 .
→ Employees under 18 = x/4
→ Female under 18 = one - third of total female employees.
→ Female under 18 = 3x/5 (1/3)
So Female employees under 18 are x/5 .
→ Now male under 18 = x/4 - x/5
So male under 18 are x/20Now male above 18 are = 2x/5- x/20
Male above 18 are 7x/20Ratio of Male above 18 : Male below 18
→ 7x/20 : x/20
→ 7 : 1
So the ratio is 7 : 1 .
Find the measure of d. A. 76 B. 74 C. 16 D. 14
Answer:
B
Step-by-step explanation:
∠ c = 90° ( angle in a semicircle ), thus
d = 180° - (16 + 90)° = 180° - 106° = 74° ( angles in a Δ )
If one angle is 16° then the measure of angle d is 76°.
What is angle?An angle is the figure formed by two rays called the sides of the angle, sharing a common point called the vertex of the angle.
How to find angle?We know that each angle of a rectangle and square is equal to 90°. When we observe the given figure then we can see that angles are formed in a rectangle and a,b,c,d,14 and 16 all are in rectangle, so in this way, 14°+d=90°.
d=90-14
d=76°
Hence if one angle is 16° then the measure of angle d is 76°.
Learn more about angles at https://brainly.com/question/25716982
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through: (3, 3) and (-5, 4)
Hi,
a line is define by the following equation : y = ax+b
where a is the slope, and b the value for x = 0
so you have : a*3 +b = 3 for the first point
a*(-5) +b = 4 for second point
so you have a system : 3a+b =3
-5a+b = 4
so : 3a+b -(-5a) -b = 3-4
3a+5a +b-b = -1
8a = -1
a = -1/8
then a = -1/8 so , in remplacing a by it's value in one equation , b is : 3(-1/8) +b = 3
-3/8 +b = 3
b = 3 +3/8
b = 24/8 +3/8
b = 27/8
let's check : 3 (-1/8) + 27/8 = -3/8 +27/8 = 24/8 = 3
first point is correct
-5( -1/8) + 27/8 = 5/8 +27/8 = 32/8 = 4
second point is correct
line is y = -1/8X +27/8
The quotient of 10 and a number
Answer: Hi!
To make an expression that represents ten and a number being divided (hence, quotient) we will use the variable x for the unknown number:
10 ÷ x
You would use this expression to represent the quotient of 10 and a number.
Hope this helps!
The quotient of 10 and a number is equal to [tex]\frac{10}{n}[/tex].
Let the unknown number be n.In Mathematics, quotient simply means division i.e the division of a particular number by another number.
In this exercise, you will simply divide the value of 10 by n.
Therefore, translating the word sentence into an algebraic expression, we have;
Quotient of 10 and a number is:
[tex]Quotient = \frac{10}{n}[/tex]
Read more: https://brainly.com/question/22970937
The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Answer:
Step-by-step explanation:
Boys : Girls = 7 : 8
Let the number of boy = 7x
The number of girls = 8x
Number of boys after 20% increase = 120% of 7x
= 1.2 * 7x
= 8.4 x
Number of girls after 10% increase = 110% of 8x
= 1.1 * 8x
= 8.8x
After increase in number of boys & girls = 8.4x : 8.8x
= 84 : 88 { reduce to simplest form by giving by 4th table}
= 21 : 22
What type of graph is this?
complete graph
cycle graph
Answer:
complete graph
Step-by-step explanation:
In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. A complete digraph is a directed graph in which every pair of distinct vertices is connected by a pair of unique edges
hope it helps :)
please mark it the brainliest!
Answer:
it would be a complete graph
Step-by-step explanation:
What is the solution set of the equation using the quadratic formula? x2+6x+10=0 {−3+2i,−3−2i} {−6+2i,−6−2i} {−3+i,−3−i} {−2i,−4i}
Answer:
The solution set of the quadratic function [tex]x^{2}+6\cdot x +10[/tex] is [tex]\{-3+i,-3-i\}[/tex] .
Step-by-step explanation:
Let be a second-order polynomial (quadratic function) is standard form and equalized to zero:
[tex]a\cdot x^{2}+b\cdot x + c = 0[/tex]
Its roots can be determined by the Quadratic Formula in terms of its polynomial coefficients, which states that:
[tex]x_{1,2} = \frac{-b\pm\sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
Given that [tex]a = 1[/tex], [tex]b = 6[/tex] and [tex]c = 10[/tex], the roots of the polynomial are, respectively:
[tex]x_{1,2} = \frac{-6\pm \sqrt{6^{2}-4\cdot (1)\cdot (10)}}{2\cdot (1)}[/tex]
[tex]x_{1,2} = -3\pm i[/tex]
[tex]x_{1} = -3+i[/tex]
[tex]x_{2} = -3 -i[/tex]
The solution set of the quadratic function [tex]x^{2}+6\cdot x +10[/tex] is [tex]\{-3+i,-3-i\}[/tex] .
Select the outlier in the data set.
58
12
74
82
89
95
76
84
98
91
77
85
96
)) If the outlier were removed from the data set, would the mean increase or decrease?
increase
decrease
Answer:
12, Increase
Step-by-step explanation:
12 is by far the lowest in the set, and removing the number would raise the mean.
What is the diffrence between expression and an equation? I also need an example
Answer:
The difference between an expression and an equation is that an expression has no equal sign whereas an equation does.
Step-by-step explanation:
Carlos makes a shade of orange clay by mixing 18 grams of red clay with 3 grams of yellow clay. Anaya wants to make the same shade of
orange clay as Carlos. She has 1 gram of yellow clay. How many grams of red clay does Anaya need In order to make the same shade of
orange clay as Carlos?
Answer:
6
Step-by-step explanation:
Question 5 Multiple Choice Worth 4 points)
(08.07 MC)
Jake's tower bed has a length of 10 feet and a width of 19 feet. Which of the following is true?
The area of the flower bed is equal to 10 square feet
The area of the flower bed is larger than 10 square feet
The area of the flower bed is equal to 8 square feet.
The area of the flower bed is smaller than 8 square feet
ANSWER FAST FOR BRAINLY CROWN!!!!
Answer:
The answer is
Step-by-step explanation:
The area of the flower bed is larger than 10 square feet.
Hope this helps....
Have a nice day!!!!
In STU, M\S = (6x – 15)°, m\T = (2x − 2)°, and m\U = (4x – 7). What is the value of x? [( pic added above])
Answer:
Hey there!
I see you have to right idea, the first step is to write the equation: 6x-15+2x-2+4x-7=180. We can simplify this to 12x-24=180
Solving for x, we get that x=17.
Let me know if this helps :)
The value of x is 17.
What is Angle Sum Property?According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180, regardless of whether it is acute, obtuse, or right.
Given:
<S = (6x – 15)°, <T = (2x − 2)°, and <U = (4x – 7).
Now, Using Angle Sum Property
<S+ <T + <U= 180
6x - 15 + 2x -2 + 4x - 7= 180
12x - 24= 180
12x = 204
x= 204/12
x= 17
Hence, the value of x is 17.
Learn more about angle sum Property here:
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What is 3/4 divided by 4/15
Answer:
2.8125
Step-by-step explanation:
Write the slope-intercept form of the vertical line containing (-2,2), if possible
Answer:
x=-2
Step-by-step explanation:
Vertical lines are of the form x=
The x coordinate is -2
x=-2
plz help me :') im v bad at math
Answer:
D
Step-by-step explanation:
Just look at the scale and my answer and it will make sense
Answer:
[tex]\Large \boxed{\mathrm{\bold{D.} \ 5.50 \ g}}[/tex]
Step-by-step explanation:
Between numbers lie in the middle of two numbers.
[tex]\sf \displaystyle \frac{5+6}{2} =5.5[/tex]
The number in between 5 and 6 is 5.5.
The mass of the copper metal is 5.50 g.