Answer:
2 1/4
Step-by-step explanation:
Half of 4 is 2 and half of 1/2 is 1/4 so half of 4 1/2 is 2 1/4
express 80 as a product of its prime factors, write the prime numbers in accending order
Answer:
80 as a product of prime numbers can be expressed as 2×2×2×2×5
Find the coordinates of the intersection of the diagonals of parallelogram HJKL with the given vertices: H(-1, 4), J(3, 3), K(3, -2), L(-1, -1). (Drawing a picture helps!)
thank you!
Answer:
(1, 1)
Step-by-step explanation:
Given vertices of the parallelogram:
H = (-1, 4)J = (3, 3)K = (3, -2)L = (-1, -1)Therefore the parallel sides are:
[tex]\sf \overline{HJ} \parallel \overline{LK}\:\: \textsf{ and }\:\: \overline{LK} \parallel \overline{HL}[/tex]
Therefore, the diagonals of the parallelogram are:
[tex]\sf \overline{LJ} \:\: \textsf{ and }\:\:\overline{HK}[/tex]
To find the coordinates of the intersection of the diagonals, either:
draw a diagram (see attached) and determine the point of intersection of the diagonals from the diagram, ordetermine the midpoint of either diagonal (as the diagonals of a parallelogram bisect each other, i.e. divide into 2 equal parts).Midpoint between two points
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
To find the midpoint of diagonal LJ, define the endpoints:
[tex](x_1,y_1)=L=(-1, -1)[/tex][tex](x_2,y_2)=J=(3,3)[/tex]Substitute the defined endpoints into the formula and solve:
[tex]\begin{aligned} \implies \textsf{Midpoint of LJ} & =\left(\dfrac{3-1}{2},\dfrac{3-1}{2}\right)\\ & =\left(\dfrac{2}{2},\dfrac{2}{2}\right)\\ & =\left(1,1\right) \end{aligned}[/tex]
Therefore, the coordinates off the intersection of the diagonals of parallelogram HJKL are (1, 1).
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Check the order
HJKLMeans H,J and K,L are adjacent coordinates
Hence HK and JL are diagonals
We know diagonals of a parallelogram bisect each other so midpoint of any diagonal would be the intersection point
Midpoint of HK
(x1+x2/2,y1+y2/2)(-1+3/2,4-2/2)(2/2,2/2)(1,1)Now that you have x² - 8x 16 = 9 16, apply the square root property to the equation.
The square root property to the equation will be (x – 4)² = 25. And the solutions will be the negative 1 and 9.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
The equation is given below.
x² – 8x + 16 = 9 + 16
Then the equation can be written as
(x – 4)² = 25
x – 4 = ±5
x = 4 ± 5
x = -1, 9
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Dan went on a drive. He modeled the relationship between the distance he drives D (in kilometers) and the remaining fuel in his tank C (in liters) as C=40-0.1D. He wanted to graph the relationship for the entire distance of his drive, which was 100 kilometers. What mistakes did Dan make when drawing the graph?
Answer:
B
Step-by-step explanation:
the entire distance was 100 km, but the other 200 km on the x axis is unnecessary
Answer:
A
Step-by-step explanation:
khan acadamy
Which equations are true?
Select all that apply
A) -x + (-x) =0
B) x - (-x) = 0
C) None of the above.
The correct answer from the task content is; Choice C; None of the above.
Which of the equations are true?The equations can be evaluated as follows;
A) -x + (-x) =0
-x -x = -2x......Not True
B) x -(-x) = 0
x + x = 2x .....Not True.
On this note, it follows that none of the equations is true.
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In the figure below, if line r is parallel to line s, m
Answer:
Step-by-step explanation:
I'm not sure exactly what you're trying to ask
but r and s are parallel
and I'm assuming the 3rd line is line m, line m is not parallel to any line
and angles A and B are equal
For what values of x does f(x) = 0?
O-4, 0, 2
O-2, 0, 4
O-5, 0, 17
O-17, 0,5
The values of x does f(x) = 0 will be -4,0,2.Option A is corect.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
The graph shows the cubic polynomial equation found as;
⇒(x+4)(x)(x-2)
The points f(x) = 0 is;
⇒(x+4)(x)(x-2)
⇒(-4+4)(0)(2-2)
⇒0
The values of x does f(x) = 0 will be -4,0,2.
Hence, option A is corect.
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What is the equation of the line that passes through the point (6,-4) and has a slope
of-?
Answer:
y = -x + 2
Step-by-step explanation:
*Assuming the slope given is -1*
Applying point-slope formula :
y - (-4) = -1 (x - 6)y + 4 = -x + 6y = -x + 23 erasers cost $4.41. Write a proportion that would solve for the cost of 4 erasers.
Answer:
$5.88
Step-by-step explanation:
3 erasers ⇒ $4,41
4 erasers ⇒ $A
A = 4 erasers * $4.41 / 3 erasers
A = $ 5.88
Answer:
see below
Step-by-step explanation:
Proportion:
4.41 is to 3 erasers as 'x' is to 4 erasers:
4.41 /3 = x / 4 <======this is your proportion
or rearrange
4 * 4.41/3 = x
(this results in x = $ 5.88 for 4 erasers )
Find the percent of the area under the density curve where xxx is more than 333.
Answer:
25%
Step-by-step explanation:
Got it right on khan
Answer:
60%
Step-by-step explanation:
its right on khan
f(x) = x+3 f ( x ) = x + 3
Answer + Step-by-step explanation:
y = mx + b where m is the slope and b is the y-intercept
y = x + 3 where m = 1 is the slope and b = 3 is the y-intercept
Table of some points:
| x | 0 | 1 | 2 | 3 |
| y | 3 | 4 | 5 | 6 |
when x = 0, y = 0 + 3 and y = 3
when x = 1, y = 1 + 3 and y = 4
when x = 2, y = 2 + 3 and y = 5
Graph:
A computer system is priced at $3200. A man buys
the computer system on hire purchase according
to the following terms: a down payment of $480
and the remaining to be paid in monthly
instalments over 2 years at a simple interest rate of
9.5% per annum.
(i) Find his monthly instalment.
(ii) Find the total amount the man pays for the
computer system.
(iii) How much more does he have to pay
for
buying the computer system on hire purchase?
dollar
(i) Monthly installment is $21.53 approximately.
(ii) Total amount man has to pay is $3716.8
(iii) Extra money he had to pay for buying the computer on hire is $516.8
Given,
Initial price of the computer(p) = $3200
Down payment = $480
Time period = 2 yrs
rate percent = 9.5%
(i) Monthly installment = ?
monthly installment =(capital amount × interest rate)/time in months
down payment to be paid = 3200 ₋ 480
= 2720
therefore, monthly payment = 2720 × 9.5 × 1/ 12
= $21.53
(ii) Total amount man has to pay = ?
= down payment ₊ remaining amount ₊ (remaining amount × t × r)
= 480 ₊ 2720 ₊ 2720 × 9.5 × 2
= $3716.8
(iii) If he buys the computer on hire then how much more he has to pay = ?
= total amount ₋ initial cost
= 3716.8 ₋ 3200
= $516.8
Hence the man has to pay $21.23 as a monthly installment, $3716.8 as a total cost of the computer system and $516.8 as an extra amount if he buys it on hire.
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P(Ω)
P(A)
0.4
0.1
P(B)
0.2
0.3
Answer:
i dont even have the first one on my computer
Step-by-step explanation:
Is this correct?? If not then whats the answer.
(image below)
Brainly for the first person to answer
this question
Answer:
fair share
Step-by-step explanation:
all are equal.
Can someone help please?
Thank you.
Answer:
B and C are the answers.
Step-by-step explanation:
3b+b = 4b because the value of B or any variable is 1 so 3 +1 is four and 4b is our answer.
2(2b) the brackets tell the number before brackets should be multiplied and 2 × 2 is 4 so the answer is 4b
In a group of 20 pupils, 3 play the flute only.
6 play the piano only.
6 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?
Please answer in fractional form!!
Answer:
[tex]\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given information:
Total number of pupils = 203 pupils play the flute6 pupils play the piano only6 play both instrumentsWe can assume that 3 pupils play the flute only as we have also been told that 6 pupils play both instruments.
To calculate the probability that a randomly chosen pupil plays neither instrument, first determine how many pupils do not play an instrument by subtracting the number of pupils who do play an instrument from the total number of pupils:
⇒ total number of pupils - pupils who play instruments
⇒ 20 - (3 + 6 + 6)
⇒ 20 - 15
⇒ 5
Therefore, 5 pupils do not play the piano and/or flute.
To calculate probability:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Therefore:
[tex]\implies \textsf{Probability of a pupil playing neither instrument} = \dfrac{5}{20}=\dfrac{1}{4}[/tex]
I’ve been stuck in this for almost 20 minutes
help :/
Answer:
pi/2 units to the left
Step-by-step explanation:
the formula is y = cos(x-b) so when b is negative, the formula will show a plus sign because minus negative is adding. this means the graph is shifted -pi/2 to the right which is really pi/2 to the left
help me
A rectangle has a length of 10.3 centimeters and a width of 6.8 centimeters.
What is the area of this rectangle?
34.2 cm²
35.02 cm²
70.04 cm²
108.24 cm²
Answer:
70.04 cm²
Step-by-step explanation:
Area = base x height
10.3 x 6.8 = 70.04
Hope this helps :)
If teens have about 80h a month of leisure time, how much time would they spend each activity a month?
Answer:
depends on how many actives there are and maybe on if they preferred one over another it would get more time
Step-by-step explanation:
Suppose y varies directly as x², and y = 160 when x = 4. Find y when x = 6.
Finding the constant of proportionality :
y = kx²160 = k(4)²k = 10Finding y when x = 6 :
y = 10(6)²y = 10(36)y = 360The value of y is 360 when x = 6.
Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.
[tex]\sqrt{4x-3}=5[/tex]
Answer:
x = 7
Step-by-step explanation:
[tex](\sqrt{4x-3} )^{2} =5^{2}[/tex]
[tex]4x-3=25[/tex]
[tex]4x=25+3[/tex]
[tex]x=\frac{28}{4}[/tex]
[tex]x=7[/tex]
Hope this helps
A swimming pool of 25m long and 20m wide is filled with water to a depth of 5m. what is the volume of water when it is 3/4 full?
Answer:
[tex]1875m^{3}[/tex]
Step-by-step explanation:
To find [tex]\frac{3}{4}[/tex] of the volume, we first must know the total volume.
The formula to find volume:
[tex]volume = length * width * depth[/tex]
We know the length is 25m, we know the width is 20m and we know the depth is 5m.
So, we can substitute them into the equation:
[tex]volume=25*20*5=2500m^{3}[/tex]
Now we know the total volume, we can find out the volume when it is [tex]\frac{3}{4}[/tex] full:
[tex]\frac{3}{4} * 2500 = 1875m^3[/tex]
Therefore, our final answer is [tex]1875m^{3}[/tex].
Divide 140 in the ratio 2:5
Answer:
40 : 100
Step-by-step explanation:
→ Find the sum of the ratio
2 + 5= 7
→ Divide 140 by the answer
140 ÷ 7 = 20
→ Multiply each part of the ratio by 20
40 : 100
ayuda porfaaa JHAKJAH es para hoy y no entiendo un klo
A) Hala los números que hagan verdadera la adición.
a) +2 + ? = 29
b) ? + (-13) = -17
c) -17 + ? = -38
d) ? + (25) = 13
e) ? + 12 = -2
B) Encuentra el resultado de las siguientes adiciones.
a) +5 + (-12) =
b) -10 + (-13) =
c) 20 + (-17) =
d) -80 + 10 =
e) 40 + (-60) =
vence hoy:(
x(x+3)-2(-5x+1)x=x^2-3(4-2x)
The answer is no solution
Explanation:
it depends on how you interpret what's written. The way I initially interpreted it*, I was able to use the quadratic formula to find :
[tex]x=\frac{1}{4}-i\frac{\sqrt{455}}{20},\:x=\frac{1}{4}+i\frac{\sqrt{455}}{20}[/tex]
*I interpreted it as: [tex]x\left(x+3\right)-2\left(-5x+1\right)x=x^2-3\left(4-2x\right)[/tex]
but I don't want to say that this is your correct answer, because there are multiple interpretations (like a lot of interpretations)
{this is mostly in response to other answers}
Hurry pleaeeeee show your work
117n + 90=
Answer:
n=-0.769
Step-by-step explanation:
Since there is no number after the equal sign in the equation given, we can put a zero in that place.
117n+90=0
Subtract 90 from both sides.
117n=-90
Divide 117 and -90
n=-0.769
Hope this helps!
If not, I am sorry.
You toss a coin and roll a number cube. Find P(heads and an even number.)
Answer:
The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).
The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒
The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number)
The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number) = P(head) × P(even number)
P(even number)Assuming a fair coin and a fair die:
P(even number)Assuming a fair coin and a fair die:P(head)
P(even number)Assuming a fair coin and a fair die:P(head) =50%
P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number)
P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50%
P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).
P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number)
P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number) =50%×50%=25%
Which expression is equivalent to 2 (14x-37+28x+12.2-5y-17.5)?
A. 84x-16y-10.6
B. 28x-6y-10.6
C. 42x-8y-5.3
D 84x-16y-5.3
Answer:
A. 84x - 16y - 10.6
Explanation:
[tex]\sf \rightarrow 2(14x-3y+28x+12.2-5y-17.5)[/tex]
[tex]\sf \rightarrow 2 (42x-8y-5.3)[/tex]
apply distributive method: a(b + c) = ab + ac
[tex]\sf \rightarrow 2 (42x) -2(8y)-2(5.3)[/tex]
[tex]\sf \rightarrow 84x -16y-10.6[/tex]
A circle has a diameter with endpoints (-7, 1) and (-3, 7).
What is the equation of the circle?
r2 = ( x - 3) 2 + ( y + 4) 2
r2 = ( x + 3) 2 + ( y - 4) 2
r2 = ( x + 5) 2 + ( y - 4) 2
r2 = ( x - 5) 2 + ( y + 4) 2
What is the measure of the central angle of a circle with radius 60 cm the intercepts a 15 pi centimeters arc
The measure of the central angle of a circle is 45⁰
What is Angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
Here,
Theta (angle) θ = arc length / radius
θ = 15 π / 60 cm
θ = 0.79 radians
Convert to degrees
θ = 0.79 radians = 0.79 X 180/ π
= 0.79 X 180/ 3.14
= 45⁰
Thus, the measure of the central angle of a circle is 45⁰.
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