Answer:
The dependent variable is the amount of money he received for birthday.
Step-by-step explanation:
After his birthday, Benjamin has decided to donate a third of the money he received as a gift from his relatives to a foundation. Considering the variables amount of money received by Benjamin and amount of money that Benjamin will donate. to. What is the dependent variable in this situation.
Here, the money he received for the birthday is x.
So, he donated x/3.
The variable is the money which he gets, so the dependent variable is amount of money he received for the birthday.
Square ABCD has vertices at A(−1,3), B(0,7), C(4,6), and D(3,2).
What is the area of the square when rounded to the nearest whole number?
Answer:
16
Step-by-step explanation:
Its a square, so AB=CD, AC=BD and
como se lee el número decimal 0.3
Find the distance between each pair of points. Round to the nearest tenth if necessary.
(-3, 6) (2,1)
Answer:
The distance between the two points is about 7.1 units.
Step-by-step explanation:
We want to find the distance between the two points (-3, 6) and (2, 1).
To find the distance between any two points, we can use the distance formula:
[tex]\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (-3, 6) be (x₁, y₁) and (2, 1) be (x₂, y₂). Substitute:
[tex]\displaystyle d=\sqrt{((2)-(-3))^2+((1)-(6))^2}[/tex]
Simplify:
[tex]\displaystyle d=\sqrt{(5)^2+(-5)^2}[/tex]
Evaluate:
[tex]d=\sqrt{25+25}=\sqrt{25(2)}=5\sqrt{2}\approx 7.1\text{ units}[/tex]
The distance between the two points is about 7.1 units.
if 8 out of every 10 high school students take a math class, how many students in a high school with 700 students are in the math class?
Answer:
560
Step-by-step explanation:
8 out of 10 is 80%, so then the answer would be 80% of 700, which would be 560
long division using place value
Answer:
this involves dividing numbers by making use of their place values or value
Step-by-step explanation:
hope this is helpful
someone PLS help me .. i believe this needs a quadratic formula?
Hello,
The parabola has vertex=(0,1) and is passing through (1,3)
y=k(x-0)²+1
3=k*1+1 ==> k= 2
y=2*x²+1
please help ASAP
-
-
-
-
Answer:
The answer is A.
How I got it:
Formula of finding a triangle: 1/2 bh.
In this case, the base is R and the Height is X.
1/2rx.
Tom starts at point A and then walk 3km east to point B and then walks 4km north to point C calculate the bearings and distance of point C to point A
Answer:
5km
Step-by-step explanation:
Please check the attached image for a diagram explaining this question
The distance from A to C can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
3² + 4²
= 16 + 9
= 25
determine the square root of 25
√25 = 5km
Aslam's age is half of his father's age but 15 years ago his age was just
the father's age. Find his present age now.
Answer:
not possible or not determined is answer
Step-by-step explanation:
because let his father be 33
ad his son be 17
15 years ago
son will be 2
and father will be 18
not possible father's age ≠son's age in any respect unless and until father's age is decreased
Plz help as quick as possible!
average =65%
average = (60+70)/(100+100)*100
= 130/200*100
= 65%
Which expressions have the same solution as –4(6)? Select three options..
–4(– 6)
4(– 6)
6(– 4)
–8(2)
12(– 2)
Answer:
4(– 6)
6(– 4)
12(– 2)
Step-by-step explanation:
A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games.
x = number of used games
y = number of new games
Which linear equation, written in standard form, expresses the scenario?
Answer:[tex]12x+25y=300[/tex]
Step-by-step explanation:
Answer:
12x + 25y = 300
Step-by-step explanation:
** I need help for this one***
Answer:
60
Step-by-step explanation:
the two angles are equal angle x and the one opposite
=180-40
=120 ÷2
=60
Answer is
z = 70
x = 70
Step-by-step explanation:
z is also equal to x because two sidess are equal
40 + x + x =180
40 + 2x = 180
2x = 140
x =70
so x and z are 70 each
ANSWER THIS PLEASE !!
Answer:
B. point B
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
B(-1, -3)
y = 3x
When x = -1,
y = 3(-1) = -3
Answer: B.
Evaluate: 4x3 - 7x2 for x = 3
Answer:
45
Step-by-step explanation:
4[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] for x = 3
Substitute 3 in for x
4([tex]3^{3}[/tex]) - 7([tex]3^{2}[/tex])
4(3·3·3) - 7(3·3)
4(27) - 7(9)
108 - 63
45
Answer:
45
Step-by-step explanation:
Hi there!
We are given 4x³-7x² and we need to evaluate the expression if x=3.
To do this, substitute 3 as x into the expression, and then use the order of operations to solve
so substitute 3 as x into the expression (remember: x² is x*x, or (x)²)
4(3)³-7(3)²
now using the order of operations, start by evaluating the exponents
(3)³=3*3*3=9*3=27
(3)²=3*3=9
the expression then becomes:
4*27-7*9
multiply
108-63
subtract
45
Hope this helps! :)
the set of all possible factors of 18, 30 and 36 then make a set of their common factors and find the H.C.F . please explain briefly
Answer:
HCF = 6
Step-by-step explanation:
Listing the factors of each number
18 is 1, 2, 3, 6, 9, 18
30 is 1, 2, 3, 5, 6, 10, 15, 30
36 is 1, 2, 3, 4, 6, 9, 12, 18, 36
common factors are 1, 2, 3, 6
the HCF is 6
Kylie has only quarters and
nickels in a jar. The total value in
the jar is $2.00. If there are a total
of 20 coins, how many of each
type of coin are in the jar?
? Quarters. ? Nickels
There are 120 teachers in a ABC school. Determine the value of k using the systematic sampling technique to select a sample of 40 teachers.
Answer:
K=30
Step-by-step explanation:
120÷4 = 30
k=30
The value of k for selecting 40 teachers out of 120 is 1 / 3.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that there are 120 teachers in an ABC school and 40 teachers need to be selected,
The value of k will be calculated by the concept of probability as below,
k = Number of favourable outcomes / Number of sample
k = 40 / 120
k = 1/3
Therefore, the value of k for selecting 40 teachers out of 120 is 1 / 3.
To know more about probability follow
https://brainly.com/question/24756209
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IM BEGGING PLEASE I NEED THE ANSWER TO THIS :C
Answer:
The answer is D.
Step-by-step explanation:
The map shows locations of a new town. Circle the correct ordered pair for each location.
A. Library
(2, 3)
(3, 2)
(3, 3)
(8,2)
B. Park
(2,8)
(8,3)
C. Market
(3,7)
(4,7)
(3,6)
D. Rec Center
(4,10)
(10,4)
(4,9)
E. Pool
(6,5)
(6,7)
(6,6)
F. MovieTheater
(8,9)
(9,8)
(9,9)
G. Ice CreamShop
(5, 4)
(4,5)
(6,4)
Answer:
library 2,3
park 8,2
market 3,7
red centers 4,10
pool 6,6
movie theater 9,9
ice cream shop 5,4
How to solve this step by step n get the answer
Answer:
Answer 1 :-
[tex]\implies m_1 = -3 [/tex]
[tex]\implies y - intercept = 7 [/tex]
Answer 2 :-
[tex]\implies m_1 = -\dfrac{1}{2} [/tex]
[tex]\implies y - intercept = -4 [/tex]
Step-by-step explanation:
The Slope Intercept Form of the line is given to us . The equations given are ,
[tex]\implies y + 3x = 7 [/tex]
[tex]\implies y + \dfrac{1}{2}x = -4 [/tex]
Now we know the standard equation of slope intercept form , is
[tex]\implies y = mx + x [/tex]
Where ,
m is slopec is y intercept .So , we can write about the equations as ,
[tex]\implies y = -3x + 7 [/tex]
[tex]\implies y = - \dfrac{1}{2}x -4 [/tex]
On comparing to the Standard form ,
Answer 1 :-
[tex]\implies m_1 = -3 [/tex]
[tex]\implies y - intercept = 7 [/tex]
Answer 2 :-
[tex]\implies m_1 = -\dfrac{1}{2} [/tex]
[tex]\implies y - intercept = -4 [/tex]
18. The current in the Red Cedar River is 6 mph. A canoe can travel 7 miles downstream in the same time that it takes to travel 3 miles upstream when paddled at the same rate. Set up (but do not solve) a rational equation that could be used to find the rate the canoe is paddled, using x as this rate
Answer:
7/(6 + x) = 3/(6 - x)
Step-by-step explanation:
The current of the Red Cedar River (the speed with which the river is flowing), v = 6 mph
The time it takes the canoe to travel 7 miles downstream = The time it takes the canoe to paddle 3 miles upstream
Let x represent the rate of the canoe, we have;
7/(v + x) = 3/(v - x)
Substituting v = 6 mph, we get the following rational equation, from which the rate of the canoe, x, can be found;
7/(6 + x) = 3/(6 - x).
Let u = <-7, -2>. Find 8u.
Answer:
<-56, -16>
Step-by-step explanation:
multiply the values by 8 because that's what the question tells you to do
What is the scale factor from abc to def?
Answer:
the answer is 8 because DEF is 8 times larger than ABC.
Step-by-step explanation:
hope that helps>3
Answer:
3
Step-by-step explanation:
To find scale factor, you need to divide two of the given sides. Meaning you can do any corresponding sides. So, for now, I will do 12 from DEF and 4 from ABC.
12 ÷ 4 = 3
To check if it is accurately 3, you will do it again (optional). You can use 15 from DEF and 5 from ABC
15 ÷ 5 = 3
Since both are 3, that will be the scale factor.
The answer is 3.
Find the roots of the following equations: x-1/X=3,X is not equal to zero.
Step-by-step explanation:
X-1/X=3
X-1=3×X
X-1=3X
-3X+X=1
-2X=1
X=1/2 Answer
What is the length of a diagonal of a square with a side length of 6?
A. 3
B. V
C. 3.12
D. 6
which graph best represents the line y= -1/5x+2
Answer:
B
Step-by-step explanation:
Line crosses y-axis at 2.
Slope = [tex]\frac{-1}{5}[/tex]
For each 1 square the line rises/falls it moves to the right/left 5 squares.
Negative slope lines are downhill left to right.
The correct graph to represent the line y = -1/5 x + 2 will be;
⇒ Graph 2
What is Equation of line?
The equation of line with slope m and y intercept at point b is given as;
y = mx + b
Given that;
The equation of line is;
⇒ y = - 1/5 x + 2
Now,
The standard form of the equation of line with slope m and y intercept at point b is given as;
y = mx + b
By comparing we get;
Slope (m) = - 1/5
In the second figure;
Let two points on the graph (0, 2) and (5 , 1).
So, Slope is defined as;
m = (1 - 2) / (5 - 0)
m = - 1 / 5
And, Clearly the y - intercept is at point 2.
Therefore,
Graph 2 shows the correct graph to represent the line y = -1/5 x + 2.
Learn more about the equation of line visit:
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The path of a projectile launched from a 20-ft-tall tower is modeled by the equation y = -5x2 + 40x + 20. What is the maximum height, in meters
reached by the projectile?
Answer:
30.49 m
Step-by-step explanation:
To obtain the maximum height, we solve for the value x when dy/dx = 0.
Since, y = -5x² + 40x + 20
dy/dx = d[-5x² + 40x + 20]/dx
dy/dx = -10x + 40
Since dy/dx = 0,
-10x + 40 = 0
-10x = -40
x = -40/-10
x = 4
Substituting x = 4 into the equation for y, we have
y = -5x² + 40x + 20
y = -5(4)² + 40(4) + 20
y = -5(16) + 160 + 20
y = -80 + 160 + 20
y = 80 + 20
y = 100 ft
Since y is in feet, we convert to meters.
Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m
So, the maximum height, in meters reached by the projectile is 30.49 m
PLS HELP ASAP
what is the equation for the line of symmetry for the function below?
y-1=-2(x+3)^2
A. x=3
B. x=-2
C.x=-3
D.y=7
I THINK ITS C BUT IM NOT SURE
1. Can cross multiplication be used to solve this problem? Why or why not?
HELP
Answer:
Step-by-step explanation:
Cross multiplication can be used but not in the beginning. First x should be isolated.
[tex]3 +\frac{5}{x}=\frac{7}{x}\\\\[/tex]
Now subtract [tex]\frac{5}{x}[/tex] from both sides
[tex]3 = \frac{7}{x}-\frac{5}{x}\\\\3=\frac{7-5}{x}\\\\3=\frac{2}{x}[/tex]
In this stage, cross multiplication can be used.
[tex]\frac{3}{1}=\frac{2}{x}\\\\3*x=2*1\\\\x = \frac{2}{3}[/tex]
Answer:
x =0 and x =2/3
Step-by-step explanation:
as is no
but if you put an x under the 3 to make 3x/x
then you'd have 3x+5/x = 7/x
to make
3x^2 + 5x = 7x
this makes
3x^2 -2x =0
using the quadratic formula
answers
x =0 and x =2/3