Answer:
(2, -7/2)
Step-by-step explanation:
According to the midpoint theorem;
M(X, Y) = [(ax1+bx2/a+b), ay1+by2/a+b ]
(x1, y1) and (x2, y2) are the coordinates
a:b is the given ratio
Given the following
Coordinate of the line segment (-8, 5) and (4, -3)
Ratio: 5:3
Get the X coordinate;
X = ax1 + bx2 / a+b
X = 5(-8) + 3(4)/5+3
X = -40+12/8
X = -28/8
X = -7/2
Get the Y coordinate
Y = ay1 + by2 / a+b
Y = 5(5) + 3(-3)/5+3
Y = 25-9/8
Y = 16/8
Y = 2
Hence the required coordinate is (2, -7/2)
Winter math packet
Answer:
32. C
34.C
36. 2
Answer:
32. C, 34. C, 35. C, 36. 2 miles
Step-by-step explanation:
32. C because you can see the ratio is 7:1. There is only one answer that has a ratio of 7:1 which is C
34. C because the ratio of batches of cookies to cooking oil is [tex]1:\frac{2}{3}[/tex] since you want 4 batches of cookies, multiply 4 by [tex]\frac{2}{3}[/tex] to get C
35. C because the ratio of butter to sauce is [tex]\frac{2}{3}:2\frac{1}{2}[/tex] multiply [tex]\frac{2}{3}[/tex] by 4 to get C
36. 2 miles because the ratio of miles to hours is [tex]\frac{1}{2} :\frac{1}{4}[/tex] multiply [tex]\frac{1}{2}[/tex] by 4 to get 2 miles
HELP ASAP PLEASE THIS QUESTION IS ABOUT FUNCTIONS SO IF U KNOW HOW TO DO FUNCTIONS PLEASE HELP I HAVE ASKED THIS LIKE MAYBE 4 TIMESSSSS :(
ALSO DONT PUT A RANDOM ANSWER AND TAKE THE POINTS I REALLY NEED HELP
Answer:
Domain: -3<=x<4
Range:-1<=y<-3
(can I get brainliest please)
Answer:
range: [-3,-1) domain: [4,-3); idrk know the second one srry.
Step-by-step explanation:
Joan kicked a soccer ball. The height of the ball, h, in metres, can be modelled by h =-1.2x^2 + 6x , where x is the horizontal distance, in metres, from where she kicked the ball.
Answer:
7.5m
Step-by-step explanation:
Since we are not asked what to look for we can find the maximum height reached by the ball
The ball reaches its maximum height when dh/dx = 0
dh/dx = -2.4x + 6
0 = -2.4x + 6
2.4x = 6
x = 6/2.4
x = 2.5
Get the max height
Recall:
h =-1.2x^2 + 6x ,
h(2.5) = -1.2(2.5)^2 + 6(2.5)
h(2.5) = -1.2(6.25)+15
h(2.5) = -7.5 + 15
h = 7.5
Hence the maximum height reached by the ball is 7.5m
through: (-4, -3) and (-3, -2)
Answer: x + 1
Hope this helps :)
Answer:
x+1
Step-by-step explanation:
I hope you have a merry christmas!
) Find the distance between the boll
-owing pairs of points
i) (2, 3) and (41)
[I took this from the internet, but hope it helps!]
98. What is the sum of the first 27 terms in the arithmetic series 25 +19+13 + ...?
Answer:
sum of the first 27 terms = -1431
Step-by-step explanation:
arithmetic series sum of the first n terms formula:[tex] s_{n} = \frac{n}{2} (2a + (n - 1)d)[/tex]
n = 27 terms
first term, a = 25
common difference, d = 19 - 25 = -6
substitute the values into the formula
[tex] s_{27} = \frac{27}{2} (2(25) + (27 - 1)( - 6))[/tex]
[tex] s_{27} = 13.5(50 + 26( - 6))[/tex]
[tex] s_{27} = 13.5(50 - 156)[/tex]
[tex] s_{27} = 13.5( - 106)[/tex]
[tex]s_{27} = - 1431[/tex]
determine the force of gravitational attractions between the Earth 5.98 x 10^24 kg and a 70kg boy is standing at sea level, a distance og 6.38 x 10^6m Earth's center ( the universal gravitational constant (G) = 6.6726 x 10 ( raise to power) 11 N/m/kg^ 2)
Answer:
6.862035456*10^26 m/s^2
Step-by-step explanation:
We know that:
m=70kg
M=Mass of earth=5.98*10^24kg
R=Distance between object's and earth's center=6.38*10^6m
G=6.6726*10^-11 N/m/kg^2
Thus, we can use the equation [tex]F_g=\frac{GmM}{R^2}\\[/tex]:
[tex]F_g=\frac{(6.6726*10^-11)(70)(5.98*10^{24})}{(6.38*10^{-6})^2}\\\\F_g=6.862035456*10^{26}[/tex]
This means the force of gravitational attractions is 6.862035456*10^26 m/s^2
Find the equation of the line perpendicular to y = -4x + 3 that also interacts the point (8,1)
Answer:
The answer is "[tex]y = \frac{1}{4}(x-4)[/tex]".
Step-by-step explanation:
Given:
[tex]Line = y= -4x+3 \\ \\point= (8,1)[/tex]
The formula for the standard Equation of a line:
[tex]\to y= mx +c[/tex]
compare the above line value:
[tex]m= -4\\\\c= 3[/tex]
When a line is perpendicular so, the m value is: [tex]= \frac{1}{4}[/tex]
[tex]\to m_1 \times \m_2 = -1\\\\\to -4 \times m_2= -1\\\\\to m_2 = \frac{-1}{-4}\\\\\to m_2= \frac{1}{4}[/tex]
Line equation when one point and m is given:
[tex]\to (y-y_1) = m (x- x_1)\\\\\to (y-1) = \frac{1}{4}(x- 8)\\\\\to 4y-4 = x- 8\\\\\to 4y = x-8+4\\\\\to 4y = x-4\\\\\to y = \frac{1}{4}(x-4)\\[/tex]
How many candles did Cassie sell?
Answer:
it is 25
Step-by-step explanation:
L Pretest: Unit 3
Question 6 of 20
If f(x) = 4x - 3 and g(x) = x + 4, find (f - g)(x).
CA. 5x - 7
B. 3x-7
C. 5x-1
OD. 7 - 3x
SUBMIT
The solution is : (f + g)(x) = x² + 4x - 4 ⇒ B, is the required function.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
Let us solve the question
∵ f(x) = 4x + 4
∵ g(x) = x² - 6
→ We need to find (f + g)(x) which means f(x) + g(x)
∴ (f + g)(x) = f(x) + g(x)
∵ f(x) + g(x) = (4x + 2) + (x² - 6)
∴ f(x) + g(x) = 4x + 2 + x² - 6
→ Add the like terms
∵ f(x) + g(x) = 4x + x² + (2 - 6)
∴ f(x) + g(x) = 4x + x² + (-4)
→ Remember (+)(-) = (-)
∴ f(x) + g(x) = 4x + x² - 4
→ Arrange the terms from greatest power of x
∴ f(x) + g(x) = x² + 4x - 4
∴ (f + g)(x) = x² + 4x - 4, is the required function.
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The two boxes shown are cuboids.
Work out how many of the smaller boxes you would need to completely fill the larger one.
Answer:
250 smaller cuboids
Step-by-step explanation:
Given
Small and Big cuboids
Required
Number of smaller cuboids in the big one
To do this, we calculate the volume of both cuboids.
[tex]Volume = Length * Width * Height[/tex]
For the small cuboid
[tex]V_1 = 10cm * 3cm * 4cm[/tex]
[tex]V_1 = 120cm^3[/tex]
For the big cuboid
[tex]V_2 = 50cm * 30cm * 20cm[/tex]
[tex]V_2 = 30000cm^3[/tex]
The number of small in big is then calculated by diving the volumes
[tex]Number = \frac{V_2}{V_1}[/tex]
[tex]Number = \frac{30000cm^3}{120cm^3}[/tex]
[tex]Number = \frac{30000}{120}[/tex]
[tex]Number = 250[/tex]
Hence, there are 250 small cuboids in the large one
Determine the DOMAIN and RANGE from the graph
Given:
The graph of a function.
To find:
The domain and range of the function.
Solution:
We have, the graph of a function and we need to find the domain and range of the function.
We know that, domain is the set of input values (x-values) and range is the set of output values (y-values).
From the given graph it is clear that function is defined for all values of x except x=0 because as x tends to 0 the function tends to negative or positive infinite. So, domain can be any real number except 0.
[tex]Domain=R-\{0\}[/tex]
[tex]Domain=(-\infty,0)\cup (0,\infty)[/tex]
From the given graph it is clear that the value of function can be any real number except y=0. So, range can be any real number except 0.
[tex]Range=R-\{0\}[/tex]
[tex]Range=(-\infty,0)\cup (0,\infty)[/tex]
Therefore, the correct option is B.
plzzzz help!!! quick one
What is the value of Line GJ?
a
10
b
30
c
1
50
Answer:
10
Step-by-step explanation:
Which of the following are solutions to the equation below?
Check all that apply.
x2 + 10x + 25 = 8
Answer:
The correct options for the solution values are:
[tex]x=2\sqrt{2}-5[/tex][tex]x=-2\sqrt{2}-5[/tex]Step-by-step explanation:
Given the expression
[tex]x^2+10x+25=8[/tex]
Subtract 25 from both sides
[tex]x^2+10x+25-25=8-25[/tex]
Simplify
[tex]x^2+10x=-17[/tex]
Add 25 or 5² to both sides
[tex]x^2+10x+5^2=8[/tex]
as
[tex]x^2+10x+5^2=\left(x+5\right)^2[/tex]
so the expression becomes
[tex]\left(x+5\right)^2=8[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solve
[tex]x+5=\sqrt{8}[/tex]
Subtract 5 from both sides
[tex]x+5-5=2\sqrt{2}-5[/tex]
[tex]x=2\sqrt{2}-5[/tex]
solve
[tex]x+5=-\sqrt{8}[/tex]
Subtract 5 from both sides
[tex]x+5-5=-2\sqrt{2}-5[/tex]
[tex]x=-2\sqrt{2}-5[/tex]
Therefore, the solution to the equation
[tex]x=2\sqrt{2}-5,\:x=-2\sqrt{2}-5[/tex]
Hence, the correct options for the solution values are:
[tex]x=2\sqrt{2}-5[/tex][tex]x=-2\sqrt{2}-5[/tex]The measure of one angle of a triangle is 105°. What do you know about the measures of the other two angles? Check all
that apply.
O Both angles are acute.
O The sum of the measures of the two angles is 75°.
O The sum of the measures of the two angles is 155°.
OOne of the angles is a right angle.
O The measure of neither angle is more than 75°.
O The measures of the other angles must be 105° too.
D The measure of one of the other angles equals 75°.
O The measure of one of the other angles must be 45°.
Save and Exit
Submnit
Answer:
both angles are acute
Step-by-step explanation:
Help!!! Find the length of X
Answer:
x=6.5
Hope my answer is helpful to you
Gill had less money than Roddy had
After Roddy spent 40% of his money,
he had $14 less than Gill. How much
money did Gill initially have?
Answer:
50
Step-by-step explanation:
Answer: the answer is 50
Step-by-step explanation:
5. Twice the sum of a number and -38 amounts to 20. (Hint: needs parentheses)
6. Alex sold his used lawn tractor and accessories for $210. If he received twice as much money for the lawn
tractor as he did for the accessories, find how much money he received for the lawn tractor. Write an
equation. Then solve the equation.
7. The cost of a television with remote control is $649. This amount is $125 more than the cost without remote
control. Find the cost of the television without remote control. Write and equation. Then solve the
equation.
Answer:
5Twice the sum of a number and -38 amounts to 20. (Hint: needs parentheses)
6. Alex sold his used lawn tractor and accessories for $210. If he received twice as much money for the lawn
tractor as he did for the accessories, find how much money he received for the lawn tractor. Write an
equation. Then solve the equation.
7. The cost of a television with remote control is $649. This amount is $125 more than the cost without remote
control. Find the cost of the television without remote control. Write and equation. Then solve the
equation.
The values from the given situations are required.
The number is 48.
Cost of lawn tractor is $140.
Cost of TV without remote is $387.
Let [tex]x[/tex] be the number
[tex]2(x+(-38))=20\\\Rightarrow x-38=\dfrac{20}{2}\\\Rightarrow x=10+38\\\Rightarrow x=48[/tex]
The number is 48.
[tex]x[/tex] = Cost of lawn tractor
[tex]y[/tex] = Cost of accessories
Cost of lawn tractor is twice of the accessories
[tex]x=2y[/tex]
Total cost of lawn tractor and accessories is $210
[tex]x+y=210\\\Rightarrow 2y+y=210\\\Rightarrow y=\dfrac{210}{3}\\\Rightarrow y=70[/tex]
Cost of lawn tractor is [tex]x=2y=2\times 70=140[/tex]
[tex]x[/tex] = Cost of TV
[tex]y[/tex] = Cost of remote
Cost of TV and remote is $649
Cost is $125 more than the cost without remote control
[tex]x+y=649[/tex]
[tex]x-y=125[/tex]
Adding the equations we get
[tex]2x=649+125\\\Rightarrow x=\dfrac{649+125}{2}\\\Rightarrow x=387[/tex]
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PLEASE HELPPP I REALLY NEED IT I DONT UNDERSTAND PART C PLEASE SOMEONE EXPLAIN TO ME AND I WILL GIVE BRAINLEST THANK YOU SM!!!! PLEASE I REALLY DONT UNDERSTAND
Answer:
Step-by-step explanation:
12 miles is the ride distance
the guy is able to travel at 6 yard per second
Question C asks how many minutes will the trip take
first we have to convert miles to yards....
there are 1760 yards in one mile
12*1760= the total distance to be traveled.. in yards..
21,120 yards
Next we'll figure out the time to travel that distance.. but we're give a rate of travel in seconds... 6 yards every second
so divide the total yards by the seconds.. that are take to travel every second.. in on second he goes 6 yards. so divide the total yards by 6 for each second of travel
21,120 / 6 = 3520 seconds to go 12 miles or the 21,120 yards.. it's the same distance in different units
then.. b/c the question is asking for minutes divide the 3,520 seconds by 60.. b/c that's how many seconds are in one minute
3,520 / 60 = 58.6666666666666 minutes or 58 minutes and 2/3 of one minute.... make sense?
I'll give you bransit, if you answer this :]
Answer:
look below
Step-by-step explanation:
I think the answer is for A 12mm because there is a -3 in the spot and you have 15 mm and for B 17mm because you still have that 15mm but this time you have a +2
I think this might be the answer I am kind of good at math but I don't really know this one sorry if I get it wrong
if 25% of a sum is Rs 2500. what is the 20% of the sum?
Answer:
25/100x=2500
x=250000/25
x= 10000
20/100×10000=y
2000
What is the average time it took for the tablet to dissolve in room temperature water?
ANSWER FOR 30 POINTS!!!
Answer:
It may take 20 to 30 seconds.
Step-by-step explanation: Hope this helped
brainliest?
The average time it took for a tablet to dissolve in water that was 22 °C in temperature was 28.3 seconds.
What is a drug?Any substance that, when consumed, alters the physiology or psychology of an organism qualifies as a drug.
What are the factors that affect the solubility of drug?
The properties of the API (active pharmaceutical ingredient) such as
solubility, wettability, particle size, surface area, morphology, the formulation's composition hardness, manufacturing process.To learn more about tablet, pharmaceutical, and physiology here,
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Point M is on line segment overline LN . Given LN = 11 and LM = 4 , determine the length MN.
Answer:
7
Step-by-step explanation:
Answer plz I will give correct answer as brainliest
Answer:
It is a triangle
Step-by-step explanation:
This is called Triangle Inequality. We can use its theorem to identify whether these three sides work or not. The Theorem states, "the sum of the smallest lengths of any two sides must be greater than or equal to the length of the remaining side." If we look at the sides, 11,4,7, we can conclude that these are applicable sides for a triangle because the sum of the two smallest lengths, 4 and 7, are the same value as 11. Therefore, these measurements are a triangle.
Write a unit rate for the situation. Round to the nearest hundredth if necessary. 210 heartbeats in 3 minutes
Answer:
70 heartbeats per second
Step-by-step explanation:
Which expression has a value of — 7?
0.(-3) +4
O (-10) + 3
0 (-3) +10 fing
O (-4) +3
Answer:
(-10) + 3
Step-by-step explanation:
hopefully it helped
Alexandra purchases two donuts and three cookies at the donut shop and it's charged $3.30. Brianna purchases five donuts and two cookies at the same shop for $4.95. All the donuts have the same price and all the cookies have the same price. What is the cost in dollars of each donut?
Given:
Cost of two donuts and three cookies = $3.30
Cost of five donuts and two cookies = $4.95
To find:
The cost of each donut.
Solution:
Let x be the cost of each donut and y be the cost of each cookie.
Cost of two donuts and three cookies = $3.30
[tex]2x+3y=3.30[/tex] ...(i)
Cost of five donuts and two cookies = $4.95
[tex]5x+2y=4.95[/tex] ...(ii)
Multiply equation (i) by 2.
[tex]4x+6y=6.60[/tex] ...(iii)
Multiply equation (ii) by 3.
[tex]15x+6y=14.85[/tex] ...(iv)
Subtracting (iii) from (iv), we get
[tex]15x+6y-4x-6y=14.85-6.60[/tex]
[tex]11x=8.25[/tex]
Divide both sides by 11.
[tex]x=\dfrac{8.25}{11}[/tex]
[tex]x=0.75[/tex]
Therefore, the cost of each donut is $0.75.
Omar needs to solve the problem 2,406 divided by 6. In what place would he put the first digit of the quotient?
Answer:
The hundreds place
Step-by-step explanation:
If you divide it
it would start out on the 4
Which is the hundreds Place
What is the correct value of x?
A. 13
B. 7
C. 5
D. 18