Answer:
The statement is a False statementStep-by-step explanation:
This question is somewhat lacking in detail or the information is not properly delivered/presented, this can be seen in the two statements bellow
1. 14 of the applicants were successful
2. Of the successful applicants, 15 couldn't make all the training sessions.
The two statements cannot hold true especially statements two, because if 14 volunteers were successful, then 15 volunteers cannot be selected from 14.
Given points A(0, 0), B(3, 2), and C(−2, 3), which statement is true?
BC is perpendicular to CA.
AB is perpendicular to AC.
AB is parallel to AC.
AB is longer than BC.
Answer:
AB is parallel to AC
Step-by-step explanation:
the product of the gradients of perpendicular line should be -1
AB=2/3
AC=-3/2
2/3*-3/2=-1
=-1
The correct statement is,
⇒ AB is perpendicular to AC.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
Points are,
A(0, 0), B(3, 2), and C(−2, 3),
Now, We can find slopes as;
AB = (2 - 0) / (3 - 0)
AB = 2/3
AC = (3 - 0)) / (- 2 - 0)
AC = - 3/2
Hence, AB is perpendicular to AC.
Thus, The correct statement is,
⇒ AB is perpendicular to AC.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ3
Help please!!!!!!!!!!!
Answer:
375.6
Step-by-step explanation:
HELPPPPP PLEASEEEEE
Classify the following pairs of equations given as parallel, perpendicular or neither on the basis of their respective slopes.
DRAG & DROP THE ANSWER
Parallel
Perpendicular
6 8
y=--
5
y = -3 +5
1 1
y = T +
2 2
y = -2% - 5
5 8.
y = =+
7
7
y = -x + 10
y = 2.0 + 5
y = 3x + 4
Neither
The slopes of each pair when analyzed shows us that; first is parallel; second and third are perpendicular and fourth is neither.
How to find the Slope of a Line?The general form of an equation in slope intercept form is;
y = mx + c
where m is the slope
1) The first pair shows that;
y = 6x/5 - 8/5
y = 6x/5 - 5
The slope in both cases is the same and so they are parallel.
2) The second pair of equations shows that;
y = (1/2)x + (1/2)
y = -2x - 5
Both slopes are negative reciprocals of each other and so they are perpendicular.
1st and 3rd box is for perpendicular
3) The third pair of equations shows that;
y = (5/7)x + (8/7)
y = -(7/5)x + 10
Both slopes are negative reciprocals of each other and so they are perpendicular.
1st and 3rd box is for perpendicular.
4) The third pair of equations shows that;
y = 2x + 5
y = 3x + 4
Both slopes are neither parallel nor perpendicular to each other.
Read more about Slope of a Line at; https://brainly.com/question/1884491
#SPJ2
does anybody know when your doing algebra 1 if you do addition first or if you do subtraction first
Answer:
addition first
Step-by-step explanation:
PMDAS 1
P:Parenthesis 2
M:Multiply 3
D:Divide 4
A:Add 5
S:Subtract 6
Adding is before subraction
Answer:
You do whichever one is first
Step-by-step explanation:
Parenthesis
Exponents
Multiplication/Division
Addition/Subtract
Hope it helps
Antonio had $450 in his bank account on Monday. On Tuesday he wrote five checks for $24.50 each. On Wednesday he made three deposits of $45 each. How much money was in his account after the checks and deposits cleared? Explain
Answer:
$462.5 in his account in the end
Answer:
Antonio ends up with $462.50 after the checks and deposits cleared.
Step-by-step explanation:
First make an equation for what we know: Antonio started with $450, he made 5 different checks of $24.50 each, and he deposited $45 3 times.
450 - 5(24.5) + 45 (3)
450 - 122.5 + 135
327.5 + 135
$462.50
Antonio ends up with $462.50 after the checks and deposits cleared.
If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)
Line Q has a slope of 3. Line R is parallel to line Q.What is the slope of line R?
Answer:
3
Step-by-step explanation:
Parallel lines have the same slope
So if line Q has a slope of 3
Line R which is parallel to Q must have a slope of 3
What is the distance between A(28, 4) and B(4, 21)?
Help pls
Answer:
The answer is
[tex]\sqrt{865} \: \: \: or \: \: 29.41 \: \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]
From the question the points are
A(28, 4) and B(4, 21)
The distance between them is
[tex] |AB| = \sqrt{ ({28 - 4})^{2} + ({4 - 21})^{2} } \\ = \sqrt{ {24}^{2} + ( { - 17})^{2} } \\ = \sqrt{576 + 289} \: \: \: \: \: \: \: \\ = \sqrt{865} \\ = 29.410882339...[/tex]
We have the final answer as
[tex] \sqrt{865} \: \: \: or \: \: 29.41 \: \: \: \: units[/tex]
Hope this helps you
What are the solutions for the given equation ?⬇️
x^2- 6x + 12 = 0
Mary wants to buy a laptop that costs $152.75. If she can save $11.75 a week working at the motel, how many weeks will Mary have to work in order to buy the laptop?
Answer: 13 weeks
Step-by-step explanation:
152.75÷11.75=13
13×11.75= 152.75
divide u by 3, then multiply 7 by the result
Answer:
( u ÷ 3) times 7
Step-by-step explanation:
Must know what u equals to find actual answer to equation.
Espa
A family has two cars. During one particular week, the first car consumed 30 gallons of gas and the second consumed 20 gallons of gas. The two cars drove a
combined total of 1050 miles, and the sum of their fuel efficiencies was 45 miles per gallon. What were the fuel efficiencies of each of the cars that week?
Answer:
30 mpg15 mpgStep-by-step explanation:
Let x represent the fuel efficiency of one of the cars. Then 45-x is the fuel efficiency of the other. The total miles driven is then ...
miles = (gallons)×(miles/gallon)
20x +30(45-x) = 1050
-10x +1350 = 1050 . . . simplify
300 = 10x . . . . . . . . . . add 10x-1050
x = 30 . . . . . . . . . . . . . divide by 10
45-x = 45-30 = 15
The car using 20 gallons got 30 miles per gallon; the car using 30 gallons got 15 miles per gallon.
help plz...........................
Answer:So its simple just forget about the letters add the numbers then place the letter and x
Step-by-step explanation: ( Always Parentheses first) Then i think you divide it by the outside number
Answer:
in order of the picture:
18w+8 -48x-24
16d+20 -48p-18
6v-16 25m-10
-24z+16 -9n+36
10d-2 -36k-36
-14j-10 -9b+6
24j-9 3v+5
-72v-16 18h-72
-20f+32 -7x+8
4p-6 45t+72
Step-by-step explanation:
Hope this helps.
1C. When you review your monthly checking account statement, which
statement below would indicate that you deposited more money than you
spent?
Your previous balance is higher than your ending balance
Your fees are greater than your starting balance
O Your withdrawals are larger than your fees
Your ending balance is higher than your previous balance
Answer:
Your ending balance is higher than your previous balance
Step-by-step explanation:
An account statement is prepared periodically or on request by banks for the consumption of their customers.
This is a record of income and withdrawals on that account.
If at the end of a given period of time, the ending balance of the period is greater than the previous balance, then the account holder has deposited more money than he/she spent. Hence the answer.
How Do I Do This Problem?
Answer:
common denominator is 15
10/15-3/15
7/15
In order to make the denominators of both 15 multiply 3 by 5 and 5 by three. Whats done to the bottom has to be done to the top as well.
Step-by-step explanation:
Solve for y.
- 7y +1 > 22 OR -10y +41 > 81
Answer:
- 7y +1 > 22 answer is y<−3
-10y +41 > 81 answer is y<−4
In segment JK, JH = 4x - 15 and HK = 2x +3, where H is between J and K on segment JK.
If JK = 48, find the value of x.
The value of the x in the line segment will be 10.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that In segment JK, JH = 4x - 15 and HK = 2x +3, where H is between J and K on segment JK. The value of JK is 48.
For the line segment we can form the expression below:-
JK = JH + HK
JK = 4x - 15 + 2x + 3
JK = 6x - 12
48 = 6x - 12
6x = 48 + 12
6x = 60
x = 60 / 6
x = 10
Therefore, the value of the x in the line segment will be 10.
To know more about line segments follow
brainly.com/question/2437195
#SPJ2
Which of the following functions could be f(x) ?
Answer:
B. f(x) = -x^3 - x^2 + 7x - 4
Step-by-step explanation:
For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.
For each of these equations, we will simply take the terms with the highest power and consider those. The two cases we need to consider is + infinite for x and - infinite for x. Let's check each of these equations.
Note, any value raised to an even power will be positive. Any negative value raised to an odd power will be negative.
[A] - x^4
When x is +∞ --> - (∞)^4 --> f(x) is -∞
When x is -∞ --> - (-∞)^4 --> f(x) is -∞
[B] - x^3
When x is +∞ --> - (∞)^3 --> f(x) is -∞
When x is -∞ --> - (-∞)^3 --> f(x) is ∞
[C] 2x^5
When x is +∞ --> 2(∞)^5 --> f(x) is ∞
When x is -∞ --> 2(-∞)^5 --> f(x) is -∞
[D] x^4
When x is +∞ --> (∞)^4 --> f(x) is ∞
When x is -∞ --> (-∞)^4 --> f(x) is ∞
Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).
Cheers.
If the sum of four consecutive numbers is 1998, what is the third one?
Answer:
[tex]\huge\boxed{500}[/tex]
Step-by-step explanation:
In order to solve this, we have to note that consecutive numbers are numbers that are one more than the last.
If our first number is represented as [tex]n[/tex], then we know that the next number will be [tex]n+1[/tex], the next will be [tex]n+2[/tex], and so on.
Since we want 4 numbers, we can create the equation:[tex]n + (n+1) + (n+2) + (n+3) = 1998[/tex]
Now we want to solve for [tex]n[/tex]. It's important to note that [tex]n[/tex] is our first number.
Combine like terms:
[tex]4n+6=1998[/tex]
Subtract 6 from both sides:
[tex]4n=1992[/tex]
Divide both sides by 4:
[tex]n = 498[/tex]
We want the third number in the set of these four numbers. Looking back to our equation ([tex]n + (n+1) + (n+2) + (n+3) = 1998[/tex]) we can see that the third term here is [tex]n+2[/tex]
[tex]498+2=500[/tex]
Hope this helped!
∠1 and ∠2 are supplementary angles. If m∠1 = 77°, then m∠2 =
Answer:
m∠2 = 103°
Step-by-step explanation:
Since ∠1 and ∠2 are supplementary angles, together they equal 180. So, you would just subtract 180-77 and get 103. To check if you are correct just add ∠1 and ∠2 ( 77+103) and you'll get 180 :)
m-(5-3m)=7m+10
What is m?
Answer:−(5−3m)=7m+10
m+−1(5−3m)=7m+10(Distribute the Negative Sign)
m+(−1)(5)+−1(−3m)=7m+10
m+−5+3m=7m+10
(m+3m)+(−5)=7m+10(Combine Like Terms)
4m+−5=7m+10
4m−5=7m+10
Step 2: Subtract 7m from both sides.
4m−5−7m=7m+10−7m
−3m−5=10
Step 3: Add 5 to both sides.
−3m−5+5=10+5
−3m=15
Step 4: Divide both sides by -3.
−3m
−3
=
15
−3
m=−5
Step-by-step explanation:
brainliest pleaseee
If 10 pounds of sugar Cost $12 , how much would one pound of sugar cost?
Answer:
$1.2
Step-by-step explanation:
12 / 10 pounds = 1.2
Answer:
$1.20
12/10= 1.2
Step-by-step explanation:
can some one explain how this would be congruent will mark brainly
Answer:
Add the area of each object.
Step-by-step explanation:
a=4 (add up the two squares in the middle. Then, add up the triangles.)
b=4 (add up the two squares in the middle. Then, add up the triangles.)
In conclution, they are both congruent but just rotated differently.
what is the slope of the line through (-7.-2) and (-6,7)
Answer:
gradient = 9
Step-by-step explanation:
Answer:
[tex]\boxed {\tt m=9}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The points given are: (-7,-2) and (-6,7). Therefore,
[tex]x_1= -7 \\y_1= -2 \\x_2=-6 \\y_2= 7[/tex]
Substitute the values into the formula.
[tex]m=\frac{7--2}{-6--7}[/tex]
[tex]m=\frac{7+2}{-6+7}[/tex]
Solve the numerator by adding 7 and 2.
[tex]m=\frac{9}{-6+7}[/tex]
Solve the numerator by adding 7 to -6.
[tex]m=\frac{9}{1}[/tex]
Divide 9 by 1.
[tex]m=9[/tex]
The slope of the line is 9.
what is the constant of the function f(x)=8x(squared 2) - 7x+6
Answer:
6
Step-by-step explanation:
A constant has no variables multiplied to it.
f(x) = 8x² - 7x + 6
8x² and -7x would have variables and would be terms.
6 would just be a constant cause it doesn't change.
You want to make bouquets of balloons. You choose 15 and 12 balloons. Every bouquet will have the same number of each color. What is the greatest possible number of bouquets you can make using all the balloons? Estimate how much you will earn if you sell each bouquet for $3.99.
Answer:
3 ; $11.97
Step-by-step explanation:
Given that:
Balloon options : 15 and 12
Every bouquet has same number of each color :
Greatest possible number of bouquet possible using all the balloons :
Greatest common factor of both 15 and 12:
15 : 1, 3, 5, 15
12 : 1, 2, 3, 4, 6, 12
Hence the greatest common factor of both 15 and 12 is 3
Hence,
Greatest possible number of bouquet possible using all the balloons = 3
If each bouquet is sold for $3.99 :
Earning will be :
Number of bouquet * price per bouquet
3 × $3.99
= $11.97
Lupe’s Construction is building a rectangular house that is 16 feet longer than it is wide. They will be putting a 3-foot wide sidewalk all the way around the house. There will be a protective metal strip around the outside edge of the sidewalk. If the house will have a perimeter of 136 feet, how will the four pieces of the protective strip need to be
Answer:
The length of the four pieces of protective strip is 96 feet
Step-by-step explanation:
Let the w be the width of the rectangular house and L is length. Since L = w + 16, its perimeter P = 2(w + L)
= 2(w + w + 16)
= 2(2w + 16)
Since the perimeter of the house P = 136 feet,
136 = 2(2w + 16)
dividing through by 2, we have
136/2 = (2w + 16)
68 = (2w + 16)
collecting like terms, we have
68 - 16 = 2w
52 = 2w
dividing through by 2, we have
w = 52/2
w = 26 feet.
Now, since the side walk is 3 foot wide all around, the width of the house plus sidewalk = w + 3 and the length of the house plus sidewalk = L + 3 = w + 16 + 3 = w + 19.
So, the perimeter of the house plus sidewalk which is the perimeter of the four pieces of protective strip is P' = 2(w + 3 + w + 19)
= 2(w + 22)
= 2(26 + 22)
= 2(48)
= 96 feet
So, the length of the four pieces of protective strip is 96 feet.
Convert the angle measure 40° to a radian measure?
Answer:
The answer is
[tex] \frac{2\pi}{9} \\ [/tex]Step-by-step explanation:
To convert an angle from degrees to radians multiply the value by [tex] \frac{\pi}{180} [/tex] .
From the question the value is 40°
It's equivalent in radians is
[tex]40 \times \frac{\pi}{180} = \frac{40\pi}{18 0} = \frac{2\pi}{9} \\ [/tex]
We have the final answer as
[tex] \frac{2\pi}{9} \\ [/tex]
Hope this helps you
Simplifying Products and Quotients of Powers
HELP(look at picture)ASPAP WORTH 20 POINTS WILL GIVE BRAINLIEST!
Answer:
a = 10 b = 6
Step-by-step explanation:
7^2 * 7^8
----------------
7^4
We know that a^b* a^c = a^( b+c)
7^(2+8)
----------------
7^4
7^(10)
----------------
7^4
We know that a^b / a^c = a^(b-c)
7^(10-4) = 7^6
Will the border line of the graph of y < - 2 + 4x + 5 be a solid line or a broken
line?
Answer:
broken (or dotted)
Step-by-step explanation:
y will only be less than 2 + 4x + 5
never equal to it
Solve for x. 2/5≤x−4
Answer:
4.4 ≤ x
Step-by-step explanation:
2/5 ≤ x -4
solve using inverse operations:
2/5 ≤ x - 4
0.4 ≤ x - 4
+4 +4
4.4 ≤ x
Hello there!☺
[tex]Answer:\boxed{x\geq \frac{22}{5}}[/tex]
[tex]Explanation:[/tex]
[tex]\frac{2}{5}\leq x-4[/tex]
Let's start by flipping the inequality:
[tex]x-4\geq \frac{2}{5}[/tex]
Now in our second/final step, add 4 to both sides:
[tex]x-4+4\geq \frac{2}{5}+4\\ x\geq \frac{22}{5}[/tex]
Hope this helps!☺
